%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW393+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 : n002.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 18:09:13 EDT 2024 % Result : Theorem 186.59s 186.34s % Output : CNFRefutation 186.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWW393+1 : TPTP v8.2.0. Released v5.2.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n002.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jun 19 06:35:24 EDT 2024 % 0.12/0.34 % CPUTime : % 0.57/0.62 start to proof:theBenchmark % 186.15/186.20 %------------------------------------------- % 186.15/186.20 % File :CSE---1.7 % 186.15/186.20 % Problem :theBenchmark % 186.15/186.20 % Transform :cnf % 186.15/186.20 % Format :tptp:raw % 186.15/186.20 % Command :java -jar mcs_scs.jar %d %s % 186.15/186.20 % 186.15/186.20 % Result :Theorem 160.990000s % 186.15/186.20 % Output :CNFRefutation 160.990000s % 186.15/186.20 %------------------------------------------- % 186.19/186.20 %------------------------------------------------------------------------------ % 186.19/186.20 % File : SWW393+1 : TPTP v8.2.0. Released v5.2.0. % 186.19/186.20 % Domain : Software Verification % 186.19/186.20 % Problem : Hoare's Logic with Procedures 435778, 5000 axioms selected % 186.19/186.20 % Version : Especial. % 186.19/186.20 % English : % 186.19/186.20 % 186.19/186.20 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 186.19/186.20 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 186.19/186.20 % Source : [Bla11] % 186.19/186.20 % Names : hoare_435778.5000.p [Bla11] % 186.19/186.20 % 186.19/186.20 % Status : ContradictoryAxioms % 186.19/186.20 % Rating : 0.86 v8.2.0, 0.81 v8.1.0, 0.78 v7.5.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.87 v7.0.0, 0.93 v6.4.0, 0.88 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0 % 186.19/186.20 % Syntax : Number of formulae : 5244 (1666 unt; 0 def) % 186.19/186.20 % Number of atoms : 12790 (4415 equ) % 186.19/186.20 % Maximal formula atoms : 13 ( 2 avg) % 186.19/186.20 % Number of connectives : 8559 (1013 ~; 150 |; 724 &) % 186.19/186.20 % ( 908 <=>;5764 =>; 0 <=; 0 <~>) % 186.19/186.20 % Maximal formula depth : 22 ( 6 avg) % 186.19/186.20 % Maximal term depth : 19 ( 2 avg) % 186.19/186.20 % Number of predicates : 152 ( 151 usr; 1 prp; 0-6 aty) % 186.19/186.20 % Number of functors : 375 ( 375 usr; 45 con; 0-7 aty) % 186.19/186.20 % Number of variables : 16561 (16403 !; 158 ?) % 186.19/186.20 % SPC : FOF_CAX_RFO_SEQ % 186.19/186.20 % 186.19/186.20 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 186.19/186.20 % 2011-03-01 13:09:01 % 186.19/186.20 %------------------------------------------------------------------------------ % 186.19/186.20 %----Relevant facts (4984) % 186.19/186.20 fof(fact_ext,axiom, % 186.19/186.20 ! [V_g_2,V_f_2] : % 186.19/186.20 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 186.19/186.20 => V_f_2 = V_g_2 ) ). % 186.19/186.20 % 186.19/186.20 fof(fact_equal__triple__def,axiom, % 186.19/186.20 ! [V_y_2,V_x_2,T_b] : % 186.19/186.20 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Hoare__Mirabelle_Otriple(T_b)),V_x_2),V_y_2)) % 186.19/186.20 <=> V_x_2 = V_y_2 ) ). % 186.19/186.20 % 186.19/186.20 fof(fact_Rep__triple__inject,axiom, % 186.19/186.21 ! [V_y_2,V_x_2,T_b] : % 186.19/186.21 ( hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),V_x_2) = hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),V_y_2) % 186.19/186.21 <=> V_x_2 = V_y_2 ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equal,axiom, % 186.19/186.21 ! [T_b] : % 186.19/186.21 ( class_HOL_Oequal(T_b) % 186.19/186.21 => c_HOL_Oequal__class_Oequal(T_b) = c_fequal ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equal__refl,axiom, % 186.19/186.21 ! [V_x,T_a] : % 186.19/186.21 ( class_HOL_Oequal(T_a) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x),V_x)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equal__eq,axiom, % 186.19/186.21 ! [V_y_2,V_x_2,T_b] : % 186.19/186.21 ( class_HOL_Oequal(T_b) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_b),V_x_2),V_y_2)) % 186.19/186.21 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_eq__equal,axiom, % 186.19/186.21 ! [T_b] : % 186.19/186.21 ( class_HOL_Oequal(T_b) % 186.19/186.21 => c_fequal = c_HOL_Oequal__class_Oequal(T_b) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Rep__triple__inverse,axiom, % 186.19/186.21 ! [V_x_2,T_b] : hAPP(c_Hoare__Mirabelle_OAbs__triple(T_b),hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),V_x_2)) = V_x_2 ). % 186.19/186.21 % 186.19/186.21 fof(fact_Rep__triple,axiom, % 186.19/186.21 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),V_x_2)),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition__triple,axiom, % 186.19/186.21 ! [T_b] : c_Typedef_Otype__definition(tc_Hoare__Mirabelle_Otriple(T_b),tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool),c_Hoare__Mirabelle_ORep__triple(T_b),c_Hoare__Mirabelle_OAbs__triple(T_b),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b))) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Abs__triple__inverse,axiom, % 186.19/186.21 ! [V_y_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),V_y_2),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) % 186.19/186.21 => hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),hAPP(c_Hoare__Mirabelle_OAbs__triple(T_b),V_y_2)) = V_y_2 ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Abs__triple__inject,axiom, % 186.19/186.21 ! [V_y_2,V_x_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),V_x_2),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),V_y_2),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) % 186.19/186.21 => ( hAPP(c_Hoare__Mirabelle_OAbs__triple(T_b),V_x_2) = hAPP(c_Hoare__Mirabelle_OAbs__triple(T_b),V_y_2) % 186.19/186.21 <=> V_x_2 = V_y_2 ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equalityCE,axiom, % 186.19/186.21 ! [V_c_2,T_b,V_B_2,V_A_2] : % 186.19/186.21 ( V_A_2 = V_B_2 % 186.19/186.21 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.21 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 186.19/186.21 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_OAbs__inject,axiom, % 186.19/186.21 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 186.19/186.21 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 186.19/186.21 <=> V_x_2 = V_y_2 ) ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_OAbs__inverse,axiom, % 186.19/186.21 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 186.19/186.21 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_ORep,axiom, % 186.19/186.21 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Abs__triple__induct,axiom, % 186.19/186.21 ! [V_x_2,V_Pa_2,T_b] : % 186.19/186.21 ( ! [B_y] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),B_y),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hoare__Mirabelle_OAbs__triple(T_b),B_y))) ) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Abs__triple__cases,axiom, % 186.19/186.21 ! [T_b,V_x_2] : % 186.19/186.21 ~ ! [B_y] : % 186.19/186.21 ( V_x_2 = hAPP(c_Hoare__Mirabelle_OAbs__triple(T_b),B_y) % 186.19/186.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),B_y),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Rep__triple__induct,axiom, % 186.19/186.21 ! [V_Pa_2,V_y_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),V_y_2),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) % 186.19/186.21 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),B_x))) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Rep__triple__cases,axiom, % 186.19/186.21 ! [V_y_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),V_y_2),hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_sum(tc_Com_Ostate,T_b)),tc_HOL_Obool)),c_Hoare__Mirabelle_Otriple_Otriple__rep__set(T_b)))) % 186.19/186.21 => ~ ! [B_x] : V_y_2 != hAPP(c_Hoare__Mirabelle_ORep__triple(T_b),B_x) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_ORep__inject,axiom, % 186.19/186.21 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 186.19/186.21 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_ORep__inverse,axiom, % 186.19/186.21 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Collect__def,axiom, % 186.19/186.21 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 186.19/186.21 % 186.19/186.21 fof(fact_eq__mem__trans,axiom, % 186.19/186.21 ! [V_A_2,T_b,V_b_2,V_a_2] : % 186.19/186.21 ( V_a_2 = V_b_2 % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_mem__def,axiom, % 186.19/186.21 ! [V_A_2,V_x_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_eqset__imp__iff,axiom, % 186.19/186.21 ! [V_x_2,T_b,V_B_2,V_A_2] : % 186.19/186.21 ( V_A_2 = V_B_2 % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_eqelem__imp__iff,axiom, % 186.19/186.21 ! [V_A_2,T_b,V_y_2,V_x_2] : % 186.19/186.21 ( V_x_2 = V_y_2 % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_eq__mem,axiom, % 186.19/186.21 ! [V_y_2,V_x_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 186.19/186.21 <=> V_x_2 = V_y_2 ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_OAbs__cases,axiom, % 186.19/186.21 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ~ ! [B_y] : % 186.19/186.21 ( V_x_2 = hAPP(V_Abs_2,B_y) % 186.19/186.21 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_A_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_OAbs__induct,axiom, % 186.19/186.21 ! [V_x_2,V_Pa_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ( ! [B_y] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,hAPP(V_Abs_2,B_y))) ) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_ORep__induct,axiom, % 186.19/186.21 ! [V_Pa_2,V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 186.19/186.21 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(V_Rep_2,B_x))) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_type__definition_ORep__cases,axiom, % 186.19/186.21 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.21 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 186.19/186.21 => ~ ! [B_x] : V_y_2 != hAPP(V_Rep_2,B_x) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_induct__false__def,axiom, % 186.19/186.21 ~ c_HOL_Oinduct__false ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OatMost__iff,axiom, % 186.19/186.21 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 186.19/186.21 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OatLeast__iff,axiom, % 186.19/186.21 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 186.19/186.21 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OlessThan__iff,axiom, % 186.19/186.21 ! [V_k_2,V_less_2,V_i_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 186.19/186.21 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OgreaterThan__iff,axiom, % 186.19/186.21 ! [V_k_2,V_less_2,V_i_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 186.19/186.21 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OatLeastAtMost__iff,axiom, % 186.19/186.21 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 186.19/186.21 ( 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))) % 186.19/186.21 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 186.19/186.21 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 186.19/186.21 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 186.19/186.21 ( 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))) % 186.19/186.21 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 186.19/186.21 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 186.19/186.21 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 186.19/186.21 ( 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))) % 186.19/186.21 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 186.19/186.21 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ord_OatLeastLessThan__iff,axiom, % 186.19/186.21 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 186.19/186.21 ( 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))) % 186.19/186.21 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 186.19/186.21 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_ballE,axiom, % 186.19/186.21 ! [V_x_2,V_Pa_2,V_A_2,T_b] : % 186.19/186.21 ( ! [B_x] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.21 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.19/186.21 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_bexE,axiom, % 186.19/186.21 ! [V_Pa_2,V_A_2,T_b] : % 186.19/186.21 ( ? [B_x] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.21 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.21 => ~ ! [B_x] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.21 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_bexI,axiom, % 186.19/186.21 ! [V_A_2,T_b,V_x_2,V_Pa_2] : % 186.19/186.21 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 => ? [B_x] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.21 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_InterE,axiom, % 186.19/186.21 ! [V_X_2,V_C_2,V_A_2,T_b] : % 186.19/186.21 ( 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))) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_InterD,axiom, % 186.19/186.21 ! [V_X_2,V_C_2,V_A_2,T_b] : % 186.19/186.21 ( 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))) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_UnionI,axiom, % 186.19/186.21 ! [V_A_2,V_C_2,V_X_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 186.19/186.21 => 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))) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_emptyE,axiom, % 186.19/186.21 ! [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)))) ). % 186.19/186.21 % 186.19/186.21 fof(fact_UNIV__I,axiom, % 186.19/186.21 ! [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)))) ). % 186.19/186.21 % 186.19/186.21 fof(fact_subsetD,axiom, % 186.19/186.21 ! [V_c_2,V_B_2,V_A_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equalityI,axiom, % 186.19/186.21 ! [V_B_2,V_A_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.19/186.21 => V_A_2 = V_B_2 ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_top1I,axiom, % 186.19/186.21 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_empty__subsetI,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_predicate1D,axiom, % 186.19/186.21 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 186.19/186.21 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.19/186.21 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_rev__predicate1D,axiom, % 186.19/186.21 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] : % 186.19/186.21 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 186.19/186.21 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inf__empty,axiom, % 186.19/186.21 ! [T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => 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) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inter__empty,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inf__UNIV,axiom, % 186.19/186.21 ! [T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => 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) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inter__UNIV,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Sup__empty,axiom, % 186.19/186.21 ! [T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => 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) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Union__empty,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Sup__UNIV,axiom, % 186.19/186.21 ! [T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => 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) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Union__UNIV,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_le__Inf__iff,axiom, % 186.19/186.21 ! [V_A_2,V_b_2,T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => ( 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))) % 186.19/186.21 <=> ! [B_x] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Sup__le__iff,axiom, % 186.19/186.21 ! [V_b_2,V_A_2,T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => ( 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)) % 186.19/186.21 <=> ! [B_x] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Union__mono,axiom, % 186.19/186.21 ! [V_B_2,V_A_2,T_b] : % 186.19/186.21 ( 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)) % 186.19/186.21 => 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))) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inter__anti__mono,axiom, % 186.19/186.21 ! [V_A_2,V_B_2,T_b] : % 186.19/186.21 ( 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)) % 186.19/186.21 => 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))) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equalityE,axiom, % 186.19/186.21 ! [T_b,V_B_2,V_A_2] : % 186.19/186.21 ( V_A_2 = V_B_2 % 186.19/186.21 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_subset__trans,axiom, % 186.19/186.21 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equalityD2,axiom, % 186.19/186.21 ! [T_b,V_B_2,V_A_2] : % 186.19/186.21 ( V_A_2 = V_B_2 % 186.19/186.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_equalityD1,axiom, % 186.19/186.21 ! [T_b,V_B_2,V_A_2] : % 186.19/186.21 ( V_A_2 = V_B_2 % 186.19/186.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_set__eq__subset,axiom, % 186.19/186.21 ! [T_b,V_B_2,V_A_2] : % 186.19/186.21 ( V_A_2 = V_B_2 % 186.19/186.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_subset__empty,axiom, % 186.19/186.21 ! [V_A_2,T_b] : % 186.19/186.21 ( 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)))) % 186.19/186.21 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_subset__refl,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_subset__UNIV,axiom, % 186.19/186.21 ! [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)))) ). % 186.19/186.21 % 186.19/186.21 fof(fact_UNIV__not__empty,axiom, % 186.19/186.21 ! [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)) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Union__upper,axiom, % 186.19/186.21 ! [V_A_2,V_B_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.19/186.21 => 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))) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Sup__upper,axiom, % 186.19/186.21 ! [V_A_2,V_x_2,T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 => 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))) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inter__lower,axiom, % 186.19/186.21 ! [V_A_2,V_B_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.19/186.21 => 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)) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_Inf__lower,axiom, % 186.19/186.21 ! [V_A_2,V_x_2,T_b] : % 186.19/186.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 => 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)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_in__mono,axiom, % 186.19/186.21 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_set__rev__mp,axiom, % 186.19/186.21 ! [V_B_2,V_A_2,V_x_2,T_b] : % 186.19/186.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 186.19/186.21 % 186.19/186.21 fof(fact_set__mp,axiom, % 186.19/186.21 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_all__not__in__conv,axiom, % 186.19/186.22 ! [V_A_2,T_b] : % 186.19/186.22 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ex__in__conv,axiom, % 186.19/186.22 ! [V_A_2,T_b] : % 186.19/186.22 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_empty__iff,axiom, % 186.19/186.22 ! [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)))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_equals0D,axiom, % 186.19/186.22 ! [V_a_2,T_b,V_A_2] : % 186.19/186.22 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_empty__Collect__eq,axiom, % 186.19/186.22 ! [V_Pa_2,T_b] : % 186.19/186.22 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 186.19/186.22 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Collect__empty__eq,axiom, % 186.19/186.22 ! [V_Pa_2,T_b] : % 186.19/186.22 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.22 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_order__refl,axiom, % 186.19/186.22 ! [V_x,T_a] : % 186.19/186.22 ( class_Orderings_Opreorder(T_a) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_top__apply,axiom, % 186.19/186.22 ! [V_x_2,T_c,T_b] : % 186.19/186.22 ( class_Orderings_Otop(T_b) % 186.19/186.22 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_iso__tuple__UNIV__I,axiom, % 186.19/186.22 ! [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)))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_bot__apply,axiom, % 186.19/186.22 ! [V_x_2,T_c,T_b] : % 186.19/186.22 ( class_Orderings_Obot(T_b) % 186.19/186.22 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_top__greatest,axiom, % 186.19/186.22 ! [V_x,T_a] : % 186.19/186.22 ( class_Orderings_Otop(T_a) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_le__fun__def,axiom, % 186.19/186.22 ! [V_g_2,V_f_2,T_b,T_c] : % 186.19/186.22 ( class_Orderings_Oord(T_c) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.19/186.22 <=> ! [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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_le__funD,axiom, % 186.19/186.22 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 186.19/186.22 ( class_Orderings_Oord(T_c) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.19/186.22 => 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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_le__funE,axiom, % 186.19/186.22 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 186.19/186.22 ( class_Orderings_Oord(T_c) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.19/186.22 => 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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_bot__least,axiom, % 186.19/186.22 ! [V_x,T_a] : % 186.19/186.22 ( class_Orderings_Obot(T_a) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_InterI,axiom, % 186.19/186.22 ! [V_A_2,V_C_2,T_b] : % 186.19/186.22 ( ! [B_X] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 186.19/186.22 => 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))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_UnionE,axiom, % 186.19/186.22 ! [V_C_2,V_A_2,T_b] : % 186.19/186.22 ( 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))) % 186.19/186.22 => ~ ! [B_X] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 186.19/186.22 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Inter__greatest,axiom, % 186.19/186.22 ! [V_C_2,V_A_2,T_b] : % 186.19/186.22 ( ! [B_X] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),B_X)) ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_linorder__le__cases,axiom, % 186.19/186.22 ! [V_y,V_x,T_a] : % 186.19/186.22 ( class_Orderings_Olinorder(T_a) % 186.19/186.22 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_xt1_I6_J,axiom, % 186.19/186.22 ! [V_z,V_x,V_y,T_a] : % 186.19/186.22 ( class_Orderings_Oorder(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_xt1_I5_J,axiom, % 186.19/186.22 ! [V_x,V_y,T_a] : % 186.19/186.22 ( class_Orderings_Oorder(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.22 => V_x = V_y ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_order__trans,axiom, % 186.19/186.22 ! [V_z,V_y,V_x,T_a] : % 186.19/186.22 ( class_Orderings_Opreorder(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_order__antisym,axiom, % 186.19/186.22 ! [V_y,V_x,T_a] : % 186.19/186.22 ( class_Orderings_Oorder(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.22 => V_x = V_y ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_xt1_I4_J,axiom, % 186.19/186.22 ! [V_c,V_a,V_b,T_a] : % 186.19/186.22 ( class_Orderings_Oorder(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.19/186.22 => ( V_b = V_c % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ord__le__eq__trans,axiom, % 186.19/186.22 ! [V_c,V_b,V_a,T_a] : % 186.19/186.22 ( class_Orderings_Oord(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.19/186.22 => ( V_b = V_c % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_xt1_I3_J,axiom, % 186.19/186.22 ! [V_c,V_b,V_a,T_a] : % 186.19/186.22 ( class_Orderings_Oorder(T_a) % 186.19/186.22 => ( V_a = V_b % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ord__eq__le__trans,axiom, % 186.19/186.22 ! [V_c,V_b,V_a,T_a] : % 186.19/186.22 ( class_Orderings_Oord(T_a) % 186.19/186.22 => ( V_a = V_b % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_order__antisym__conv,axiom, % 186.19/186.22 ! [V_x_2,V_y_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.22 <=> V_x_2 = V_y_2 ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_order__eq__refl,axiom, % 186.19/186.22 ! [V_y,V_x,T_a] : % 186.19/186.22 ( class_Orderings_Opreorder(T_a) % 186.19/186.22 => ( V_x = V_y % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_order__eq__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => ( V_x_2 = V_y_2 % 186.19/186.22 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_linorder__linear,axiom, % 186.19/186.22 ! [V_y,V_x,T_a] : % 186.19/186.22 ( class_Orderings_Olinorder(T_a) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.22 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Powp__mono,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => 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))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Inter__subset,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( ! [B_X] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 186.19/186.22 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 186.19/186.22 => 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)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Union__least,axiom, % 186.19/186.22 ! [V_C_2,V_A_2,T_b] : % 186.19/186.22 ( ! [B_X] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_C_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Inf__greatest,axiom, % 186.19/186.22 ! [V_z_2,V_A_2,T_b] : % 186.19/186.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.22 => ( ! [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),B_x)) ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Sup__least,axiom, % 186.19/186.22 ! [V_z_2,V_A_2,T_b] : % 186.19/186.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.22 => ( ! [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_z_2)) ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_z_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subsetI,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( ! [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_greaterThan__subset__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( 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))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__UNIV,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_PowI,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atMost__subset__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => ( 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))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atLeast__subset__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => ( 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))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_greaterThan__eq__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 186.19/186.22 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atLeast__eq__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 186.19/186.22 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atMost__eq__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 186.19/186.22 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__top,axiom, % 186.19/186.22 ! [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))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Union__Pow__eq,axiom, % 186.19/186.22 ! [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 ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__not__empty,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__bottom,axiom, % 186.19/186.22 ! [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))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_PowD,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__iff,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__mono,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => 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))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atMost__iff,axiom, % 186.19/186.22 ! [V_k_2,V_i_2,T_b] : % 186.19/186.22 ( class_Orderings_Oord(T_b) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atLeast__iff,axiom, % 186.19/186.22 ! [V_k_2,V_i_2,T_b] : % 186.19/186.22 ( class_Orderings_Oord(T_b) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subset__Pow__Union,axiom, % 186.19/186.22 ! [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)))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Pow__empty,axiom, % 186.19/186.22 ! [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))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_lessThan__subset__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( 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))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_INF__subset,axiom, % 186.19/186.22 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.19/186.22 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => 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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_SUP__subset,axiom, % 186.19/186.22 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.19/186.22 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => 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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_greaterThanLessThan__empty,axiom, % 186.19/186.22 ! [V_k_2,V_l_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 186.19/186.22 => 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)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_greaterThanAtMost__empty,axiom, % 186.19/186.22 ! [V_k_2,V_l_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 186.19/186.22 => 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)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Collect__mono,axiom, % 186.19/186.22 ! [T_b,V_Qa_2,V_Pa_2] : % 186.19/186.22 ( ! [B_x] : % 186.19/186.22 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.19/186.22 => hBOOL(hAPP(V_Qa_2,B_x)) ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_UNIV__eq__I,axiom, % 186.19/186.22 ! [V_A_2,T_b] : % 186.19/186.22 ( ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 => c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = V_A_2 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_UNIV__witness,axiom, % 186.19/186.22 ! [T_b] : % 186.19/186.22 ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_le__funI,axiom, % 186.19/186.22 ! [T_b,V_g_2,V_f_2,T_c] : % 186.19/186.22 ( class_Orderings_Oord(T_c) % 186.19/186.22 => ( ! [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))) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_equals0I,axiom, % 186.19/186.22 ! [V_A_2,T_b] : % 186.19/186.22 ( ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 186.19/186.22 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insertCI,axiom, % 186.19/186.22 ! [V_b_2,V_B_2,V_a_2,T_b] : % 186.19/186.22 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 186.19/186.22 => V_a_2 = V_b_2 ) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insertE,axiom, % 186.19/186.22 ! [V_A_2,V_b_2,V_a_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 186.19/186.22 => ( V_a_2 != V_b_2 % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__absorb2,axiom, % 186.19/186.22 ! [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) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__commute,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__code,axiom, % 186.19/186.22 ! [V_x_2,V_A_2,V_y_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 186.19/186.22 <=> ( V_y_2 = V_x_2 % 186.19/186.22 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_lessThan__eq__iff,axiom, % 186.19/186.22 ! [V_y_2,V_x_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 186.19/186.22 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__absorb,axiom, % 186.19/186.22 ! [V_A_2,V_a_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.22 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insertI2,axiom, % 186.19/186.22 ! [V_b_2,V_B_2,V_a_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__ident,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_x_2,T_b] : % 186.19/186.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.22 => ( 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) % 186.19/186.22 <=> V_A_2 = V_B_2 ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__iff,axiom, % 186.19/186.22 ! [V_A_2,V_b_2,V_a_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 186.19/186.22 <=> ( V_a_2 = V_b_2 % 186.19/186.22 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insertI1,axiom, % 186.19/186.22 ! [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))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_empty__not__insert,axiom, % 186.19/186.22 ! [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) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__not__empty,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_doubleton__eq__iff,axiom, % 186.19/186.22 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.22 ( 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)))) % 186.19/186.22 <=> ( ( V_a_2 = V_c_2 % 186.19/186.22 & V_b_2 = V_d_2 ) % 186.19/186.22 | ( V_a_2 = V_d_2 % 186.19/186.22 & V_b_2 = V_c_2 ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_singleton__inject,axiom, % 186.19/186.22 ! [V_b_2,V_a_2,T_b] : % 186.19/186.22 ( 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))) % 186.19/186.22 => V_a_2 = V_b_2 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subset__insertI,axiom, % 186.19/186.22 ! [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))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subset__insertI2,axiom, % 186.19/186.22 ! [V_b_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__mono,axiom, % 186.19/186.22 ! [V_a_2,V_D_2,V_C_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 186.19/186.22 => 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))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_singleton__iff,axiom, % 186.19/186.22 ! [V_a_2,V_b_2,T_b] : % 186.19/186.22 ( 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))))) % 186.19/186.22 <=> V_b_2 = V_a_2 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_singletonE,axiom, % 186.19/186.22 ! [V_a_2,V_b_2,T_b] : % 186.19/186.22 ( 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))))) % 186.19/186.22 => V_b_2 = V_a_2 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_insert__subset,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_x_2,T_b] : % 186.19/186.22 ( 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)) % 186.19/186.22 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subset__insert,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_x_2,T_b] : % 186.19/186.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 186.19/186.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subset__singletonD,axiom, % 186.19/186.22 ! [V_x_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 186.19/186.22 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.22 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Sup__singleton,axiom, % 186.19/186.22 ! [V_a_2,T_b] : % 186.19/186.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.22 => 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 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Inf__singleton,axiom, % 186.19/186.22 ! [V_a_2,T_b] : % 186.19/186.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.22 => 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 ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_the__elem__eq,axiom, % 186.19/186.22 ! [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 ). % 186.19/186.22 % 186.19/186.22 fof(fact_ivl__disj__un_I1_J,axiom, % 186.19/186.22 ! [V_l_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => 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) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_atMost__Int__atLeast,axiom, % 186.19/186.22 ! [V_n_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ivl__disj__un_I2_J,axiom, % 186.19/186.22 ! [V_u_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => 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) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_diff__single__insert,axiom, % 186.19/186.22 ! [V_B_2,V_x_2,V_A_2,T_b] : % 186.19/186.22 ( 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)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_subset__insert__iff,axiom, % 186.19/186.22 ! [V_B_2,V_x_2,V_A_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 186.19/186.22 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.22 => 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)) ) % 186.19/186.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Int__eq__Inter,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = 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))))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__eq__Union,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = 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))))) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ivl__disj__int_I5_J,axiom, % 186.19/186.22 ! [V_u_2,V_l_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => 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)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ivl__disj__int_I6_J,axiom, % 186.19/186.22 ! [V_u_2,V_l_2,T_b] : % 186.19/186.22 ( class_Orderings_Oorder(T_b) % 186.19/186.22 => 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)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_ivl__disj__un_I11_J,axiom, % 186.19/186.22 ! [V_u_2,V_l_2,T_b] : % 186.19/186.22 ( class_Orderings_Olinorder(T_b) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.22 => 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) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_sup1CI,axiom, % 186.19/186.22 ! [T_b,V_A_2,V_x_2,V_B_2] : % 186.19/186.22 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 186.19/186.22 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 186.19/186.22 => 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)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_sup1E,axiom, % 186.19/186.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( 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)) % 186.19/186.22 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 186.19/186.22 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_inf1E,axiom, % 186.19/186.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( 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)) % 186.19/186.22 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 186.19/186.22 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_inf1I,axiom, % 186.19/186.22 ! [T_b,V_B_2,V_x_2,V_A_2] : % 186.19/186.22 ( hBOOL(hAPP(V_A_2,V_x_2)) % 186.19/186.22 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 186.19/186.22 => 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)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_UnE,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.22 ( 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))) % 186.19/186.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_UnCI,axiom, % 186.19/186.22 ! [V_A_2,V_B_2,V_c_2,T_b] : % 186.19/186.22 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 186.19/186.22 => 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))) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_IntI,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 186.19/186.22 => 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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_IntE,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.22 ( 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))) % 186.19/186.22 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_DiffI,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 186.19/186.22 => 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))) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_DiffE,axiom, % 186.19/186.22 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.22 ( 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))) % 186.19/186.22 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_inf1D2,axiom, % 186.19/186.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( 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)) % 186.19/186.22 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_inf1D1,axiom, % 186.19/186.22 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( 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)) % 186.19/186.22 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_sup1I2,axiom, % 186.19/186.22 ! [V_A_2,T_b,V_x_2,V_B_2] : % 186.19/186.22 ( hBOOL(hAPP(V_B_2,V_x_2)) % 186.19/186.22 => 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)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_sup1I1,axiom, % 186.19/186.22 ! [V_B_2,T_b,V_x_2,V_A_2] : % 186.19/186.22 ( hBOOL(hAPP(V_A_2,V_x_2)) % 186.19/186.22 => 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)) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__Int__crazy,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Diff__Int2,axiom, % 186.19/186.22 ! [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) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__Diff__Int,axiom, % 186.19/186.22 ! [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 ). % 186.19/186.22 % 186.19/186.22 fof(fact_ball__Un,axiom, % 186.19/186.22 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( ! [B_x] : % 186.19/186.22 ( 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))) % 186.19/186.22 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.22 <=> ( ! [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.22 & ! [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 186.19/186.22 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_bex__Un,axiom, % 186.19/186.22 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 186.19/186.22 ( ? [B_x] : % 186.19/186.22 ( 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))) % 186.19/186.22 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.22 <=> ( ? [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.22 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.22 | ? [B_x] : % 186.19/186.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 186.19/186.22 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__Int__distrib2,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Int__Un__distrib2,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Diff__Int__distrib2,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__Diff,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__assoc,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Int__assoc,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Int__Diff,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__Diff__cancel2,axiom, % 186.19/186.22 ! [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) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Diff__idemp,axiom, % 186.19/186.22 ! [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) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__Int__distrib,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Diff__Int__distrib,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Int__Un__distrib,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Diff__Un,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Diff__Int,axiom, % 186.19/186.22 ! [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)) ). % 186.19/186.22 % 186.19/186.22 fof(fact_Un__left__commute,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__left__commute,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__left__absorb,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__Diff__cancel,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__left__absorb,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__commute,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__commute,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__absorb,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__absorb,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__triv,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__disjoint,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__partition,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => 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 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__subset__conv,axiom, % 186.19/186.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__Int__assoc__eq,axiom, % 186.19/186.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Union__Un__distrib,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Pow__Int__eq,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inter__Un__distrib,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Union__Int__subset,axiom, % 186.19/186.23 ! [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)))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inter__Un__subset,axiom, % 186.19/186.23 ! [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)))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__iff,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.23 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_DiffD1,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_DiffD2,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__iff,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.23 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_UnI1,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_UnI2,axiom, % 186.19/186.23 ! [V_A_2,V_B_2,V_c_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__iff,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_IntD1,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_IntD2,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__cancel,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__empty,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_empty__Diff,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__empty,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.23 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__empty__right,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__empty__left,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_disjoint__iff__not__equal,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> ! [B_x] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.23 => ! [B_xa] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 186.19/186.23 => B_x != B_xa ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__empty__right,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__empty__left,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_double__diff,axiom, % 186.19/186.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.19/186.23 => 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 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__mono,axiom, % 186.19/186.23 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__subset,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__insert__left,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__insert__right,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__inter__insert,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__mono,axiom, % 186.19/186.23 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__least,axiom, % 186.19/186.23 ! [V_B_2,V_C_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__absorb2,axiom, % 186.19/186.23 ! [V_A_2,V_B_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__absorb1,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_subset__Un__eq,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__upper2,axiom, % 186.19/186.23 ! [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))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__upper1,axiom, % 186.19/186.23 ! [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))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__UNIV__right,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__UNIV__left,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__mono,axiom, % 186.19/186.23 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__greatest,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_C_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__absorb1,axiom, % 186.19/186.23 ! [V_A_2,V_B_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__absorb2,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__lower2,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__lower1,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__UNIV__right,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__UNIV__left,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_Un__Pow__subset,axiom, % 186.19/186.23 ! [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)))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__Diff1,axiom, % 186.19/186.23 ! [V_A_2,V_B_2,V_x_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__Diff__if,axiom, % 186.19/186.23 ! [V_A_2,V_B_2,V_x_2,T_b] : % 186.19/186.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.23 => 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) ) % 186.19/186.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__Diff__single,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__insert2,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__insert,axiom, % 186.19/186.23 ! [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)))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__insert__left__if1,axiom, % 186.19/186.23 ! [V_B_2,V_C_2,V_a_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__insert__right__if1,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_a_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__insert__left__if0,axiom, % 186.19/186.23 ! [V_B_2,V_C_2,V_a_2,T_b] : % 186.19/186.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__insert__right__if0,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_a_2,T_b] : % 186.19/186.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__insert__left,axiom, % 186.19/186.23 ! [V_B_2,V_C_2,V_a_2,T_b] : % 186.19/186.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 186.19/186.23 => 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)) ) % 186.19/186.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__insert__right,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_a_2,T_b] : % 186.19/186.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => 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)) ) % 186.19/186.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__UNIV,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Sup__insert,axiom, % 186.19/186.23 ! [V_A_2,V_a_2,T_b] : % 186.19/186.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__is__Un,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inf__insert,axiom, % 186.19/186.23 ! [V_A_2,V_a_2,T_b] : % 186.19/186.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Union__disjoint,axiom, % 186.19/186.23 ! [V_A_2,V_C_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> ! [B_x] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I20_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I14_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Union__insert,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inter__insert,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__insert__absorb,axiom, % 186.19/186.23 ! [V_A_2,V_x_2,T_b] : % 186.19/186.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => 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 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__Diff,axiom, % 186.19/186.23 ! [V_A_2,V_a_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => 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 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Sup__binary,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inf__binary,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_single__Diff__lessThan,axiom, % 186.19/186.23 ! [V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I9_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I3_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I1_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I10_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_distrib__sup__le,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_distrib__inf__le,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__apply,axiom, % 186.19/186.23 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 186.19/186.23 ( class_Groups_Ominus(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__apply,axiom, % 186.19/186.23 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( class_Lattices_Olattice(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__apply,axiom, % 186.19/186.23 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( class_Lattices_Olattice(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__top__left,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__top(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__top__right,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__top(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__eq__top__iff,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__top(T_b) % 186.19/186.23 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 186.19/186.23 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 186.19/186.23 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__top__left,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__top(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__top__right,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__top(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__absorb,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__assoc,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I6_J,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup_Oassoc,axiom, % 186.19/186.23 ! [V_c,V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__left__commute,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I7_J,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup_Oleft__commute,axiom, % 186.19/186.23 ! [V_c,V_a,V_b,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__left__idem,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I8_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup_Oleft__idem,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__commute,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I5_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup_Ocommute,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__idem,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup_Oidem,axiom, % 186.19/186.23 ! [V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__assoc,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I2_J,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf_Oassoc,axiom, % 186.19/186.23 ! [V_c,V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__left__commute,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I3_J,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf_Oleft__commute,axiom, % 186.19/186.23 ! [V_c,V_a,V_b,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__left__idem,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I4_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf_Oleft__idem,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__commute,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__aci_I1_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf_Ocommute,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__idem,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf_Oidem,axiom, % 186.19/186.23 ! [V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__supE,axiom, % 186.19/186.23 ! [V_x,V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( 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)) % 186.19/186.23 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__mono,axiom, % 186.19/186.23 ! [V_d,V_b,V_c,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 186.19/186.23 => 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))) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__least,axiom, % 186.19/186.23 ! [V_z,V_x,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 186.19/186.23 => 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)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__supI,axiom, % 186.19/186.23 ! [V_b,V_x,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 186.19/186.23 => 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)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__absorb1,axiom, % 186.19/186.23 ! [V_x,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__absorb2,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__supI2,axiom, % 186.19/186.23 ! [V_a,V_b,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__supI1,axiom, % 186.19/186.23 ! [V_b,V_a,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__sup__iff,axiom, % 186.19/186.23 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_b) % 186.19/186.23 => ( 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)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__iff__sup,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__ge2,axiom, % 186.19/186.23 ! [V_x,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__ord_I4_J,axiom, % 186.19/186.23 ! [V_x,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__ge1,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__ord_I3_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__infE,axiom, % 186.19/186.23 ! [V_b,V_a,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( 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))) % 186.19/186.23 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__mono,axiom, % 186.19/186.23 ! [V_d,V_b,V_c,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 186.19/186.23 => 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))) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__greatest,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 186.19/186.23 => 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))) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__infI,axiom, % 186.19/186.23 ! [V_b,V_a,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 186.19/186.23 => 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))) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__absorb2,axiom, % 186.19/186.23 ! [V_x,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__absorb1,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__infI2,axiom, % 186.19/186.23 ! [V_a,V_x,V_b,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__infI1,axiom, % 186.19/186.23 ! [V_b,V_x,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__inf__iff,axiom, % 186.19/186.23 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__iff__inf,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__le2,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__ord_I2_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__le1,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__ord_I1_J,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__eq__bot__iff,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__bot(T_b) % 186.19/186.23 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 186.19/186.23 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 186.19/186.23 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__bot__right,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__bot(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__bot__left,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__bot(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__bot__right,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__bot(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__bot__left,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Obounded__lattice__bot(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__inf__distrib2,axiom, % 186.19/186.23 ! [V_x,V_z,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Odistrib__lattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__distrib2,axiom, % 186.19/186.23 ! [V_x,V_z,V_y,T_a] : % 186.19/186.23 ( class_Lattices_Odistrib__lattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__inf__distrib1,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Odistrib__lattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__sup__distrib1,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Odistrib__lattice(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__inf__absorb,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => 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 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_diff__eq__diff__less__eq,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I5_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I4_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I13_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubset__insert__iff,axiom, % 186.19/186.23 ! [V_B_2,V_x_2,V_A_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 186.19/186.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 186.19/186.23 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => 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)) ) % 186.19/186.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I10_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Int__Collect__mono,axiom, % 186.19/186.23 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ( ! [B_x] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.23 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.19/186.23 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Qa_2)))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 186.19/186.23 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => ( 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) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I12_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__partition,axiom, % 186.19/186.23 ! [V_F_2,V_x_2,T_b] : % 186.19/186.23 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 186.19/186.23 => ( ! [B_x] : % 186.19/186.23 ( 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))) % 186.19/186.23 => ! [B_xa] : % 186.19/186.23 ( 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))) % 186.19/186.23 => ( B_x != B_xa % 186.19/186.23 => 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)) ) ) ) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastatMost__psubset__iff,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 186.19/186.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 186.19/186.23 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 186.19/186.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__cases,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => ( V_x != V_y % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__asym,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I10_J,axiom, % 186.19/186.23 ! [V_z,V_x,V_y,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__trans,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I2_J,axiom, % 186.19/186.23 ! [V_c,V_a,V_b,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 186.19/186.23 => ( V_b = V_c % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ord__less__eq__trans,axiom, % 186.19/186.23 ! [V_c,V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Oord(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.19/186.23 => ( V_b = V_c % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I1_J,axiom, % 186.19/186.23 ! [V_c,V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( V_a = V_b % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ord__eq__less__trans,axiom, % 186.19/186.23 ! [V_c,V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Oord(T_a) % 186.19/186.23 => ( V_a = V_b % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I9_J,axiom, % 186.19/186.23 ! [V_a,V_b,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__asym_H,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__imp__not__eq2,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => V_y != V_x ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__imp__not__eq,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => V_x != V_y ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__imp__not__less,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__not__sym,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__imp__neq,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => V_x != V_y ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__neqE,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( V_x != V_y % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__antisym__conv3,axiom, % 186.19/186.23 ! [V_x_2,V_y_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> V_x_2 = V_y_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__less__linear,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 | V_x = V_y % 186.19/186.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_not__less__iff__gr__or__eq,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 186.19/186.23 | V_x_2 = V_y_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__neq__iff,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( V_x_2 != V_y_2 % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__irrefl,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubset__trans,axiom, % 186.19/186.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastatMost__empty,axiom, % 186.19/186.23 ! [V_a_2,V_b_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_lessThan__strict__subset__iff,axiom, % 186.19/186.23 ! [V_n_2,V_m_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_diff__eq__diff__less,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__fun__def,axiom, % 186.19/186.23 ! [V_g_2,V_f_2,T_b,T_c] : % 186.19/186.23 ( class_Orderings_Oord(T_c) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.19/186.23 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__not__less,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__not__le,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__le__less__linear,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__le,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 & V_x_2 != V_y_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__le__not__le,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Opreorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__le__less,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 | V_x_2 = V_y_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_leI,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_not__leE,axiom, % 186.19/186.23 ! [V_x,V_y,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__antisym__conv1,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> V_x_2 = V_y_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__neq__le__trans,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( V_a != V_b % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I12_J,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( V_a != V_b % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_leD,axiom, % 186.19/186.23 ! [V_x,V_y,T_a] : % 186.19/186.23 ( class_Orderings_Olinorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__imp__le,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__antisym__conv2,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 186.19/186.23 <=> V_x_2 = V_y_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__le__imp__less__or__eq,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 | V_x = V_y ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__le__neq__trans,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.19/186.23 => ( V_a != V_b % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I11_J,axiom, % 186.19/186.23 ! [V_a,V_b,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.19/186.23 => ( V_a != V_b % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__less__le__trans,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I7_J,axiom, % 186.19/186.23 ! [V_z,V_x,V_y,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_order__le__less__trans,axiom, % 186.19/186.23 ! [V_z,V_y,V_x,T_a] : % 186.19/186.23 ( class_Orderings_Opreorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_xt1_I8_J,axiom, % 186.19/186.23 ! [V_z,V_x,V_y,T_a] : % 186.19/186.23 ( class_Orderings_Oorder(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubsetD,axiom, % 186.19/186.23 ! [V_c_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_not__psubset__empty,axiom, % 186.19/186.23 ! [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)))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__supI1,axiom, % 186.19/186.23 ! [V_b,V_a,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__supI2,axiom, % 186.19/186.23 ! [V_a,V_b,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__sup(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__infI1,axiom, % 186.19/186.23 ! [V_b,V_x,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__infI2,axiom, % 186.19/186.23 ! [V_a,V_x,V_b,T_a] : % 186.19/186.23 ( class_Lattices_Osemilattice__inf(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_subset__psubset__trans,axiom, % 186.19/186.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubset__subset__trans,axiom, % 186.19/186.23 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubset__imp__subset,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_subset__iff__psubset__eq,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 | V_A_2 = V_B_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubset__eq,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 & V_A_2 != V_B_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__Sup__iff,axiom, % 186.19/186.23 ! [V_S_2,V_a_2,T_b] : % 186.19/186.23 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.23 & class_Orderings_Olinorder(T_b) ) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 186.19/186.23 <=> ? [B_x] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inf__less__iff,axiom, % 186.19/186.23 ! [V_a_2,V_S_2,T_b] : % 186.19/186.23 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.23 & class_Orderings_Olinorder(T_b) ) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 186.19/186.23 <=> ? [B_x] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_lessThan__iff,axiom, % 186.19/186.23 ! [V_k_2,V_i_2,T_b] : % 186.19/186.23 ( class_Orderings_Oord(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I19_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_greaterThanAtMost__empty__iff,axiom, % 186.19/186.23 ! [V_l_2,V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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)) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 186.19/186.23 ! [V_l_2,V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_greaterThan__iff,axiom, % 186.19/186.23 ! [V_k_2,V_i_2,T_b] : % 186.19/186.23 ( class_Orderings_Oord(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastatMost__empty__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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)) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastatMost__empty__iff2,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastatMost__subset__iff,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 186.19/186.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastAtMost__singleton_H,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( V_a_2 = V_b_2 % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastAtMost__singleton__iff,axiom, % 186.19/186.23 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> ( V_a_2 = V_b_2 % 186.19/186.23 & V_b_2 = V_c_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastAtMost__singleton,axiom, % 186.19/186.23 ! [V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_diff__eq__diff__eq,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oab__group__add(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 => ( V_a_2 = V_b_2 % 186.19/186.23 <=> V_c_2 = V_d_2 ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I22_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I4_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I16_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I13_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I12_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I7_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I16_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I7_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 186.19/186.23 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.23 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 186.19/186.23 | ? [B_x,B_y] : % 186.19/186.23 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 186.19/186.23 & 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I18_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I3_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I6_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I15_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff1__fold__graph,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_psubset__imp__ex__mem,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => ? [B_b] : hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I8_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I14_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__unique,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 186.19/186.23 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 186.19/186.23 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ComplI,axiom, % 186.19/186.23 ! [V_A_2,V_c_2,T_b] : % 186.19/186.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__minus,axiom, % 186.19/186.23 ! [V_a,T_a] : % 186.19/186.23 ( class_Groups_Ogroup__add(T_a) % 186.19/186.23 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_equation__minus__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Ogroup__add(T_b) % 186.19/186.23 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 186.19/186.23 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__equation__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Ogroup__add(T_b) % 186.19/186.23 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 186.19/186.23 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_neg__equal__iff__equal,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Ogroup__add(T_b) % 186.19/186.23 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 186.19/186.23 <=> V_a_2 = V_b_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_double__compl,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_uminus__apply,axiom, % 186.19/186.23 ! [V_x_2,V_A_2,T_c,T_b] : % 186.19/186.23 ( class_Groups_Ouminus(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__eq__compl__iff,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_b) % 186.19/186.23 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 186.19/186.23 <=> V_x_2 = V_y_2 ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__mono,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__le__compl__iff,axiom, % 186.19/186.23 ! [V_y_2,V_x_2,T_b] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__imp__neg__le,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_a) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_neg__le__iff__le,axiom, % 186.19/186.23 ! [V_a_2,V_b_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__le__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( 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)) % 186.19/186.23 <=> 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_le__minus__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_neg__less__iff__less,axiom, % 186.19/186.23 ! [V_a_2,V_b_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__less__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_less__minus__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ComplE,axiom, % 186.19/186.23 ! [V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ComplD,axiom, % 186.19/186.23 ! [V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__iff,axiom, % 186.19/186.23 ! [V_A_2,V_c_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__diff__eq,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Groups_Oab__group__add(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__subset__Compl__iff,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__anti__mono,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__eq__iff,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 186.19/186.23 => ( 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) % 186.19/186.23 <=> ( V_a_2 = V_c_2 % 186.19/186.23 & V_b_2 = V_d_2 ) ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 186.19/186.23 => V_a_2 = V_c_2 ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 186.19/186.23 => V_b_2 = V_d_2 ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_empty__fold__graphE,axiom, % 186.19/186.23 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 => V_x_2 = V_z_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_OemptyI,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_Oequations_I1_J,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__inf__bot,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_inf__compl__bot,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_diff__eq,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__top__eq,axiom, % 186.19/186.23 ! [T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__bot__eq,axiom, % 186.19/186.23 ! [T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__sup,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__inf,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_compl__sup__top,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_sup__compl__top,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oboolean__algebra(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_subset__Compl__self__eq,axiom, % 186.19/186.23 ! [V_A_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__empty__eq,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__UNIV__eq,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__disjoint,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__disjoint2,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__partition,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__partition2,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__Int,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__Un,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__eq__Diff__UNIV,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__Diff__eq,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__eq,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Diff__Compl,axiom, % 186.19/186.23 ! [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) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__atLeast,axiom, % 186.19/186.23 ! [V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__lessThan,axiom, % 186.19/186.23 ! [V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__empty,axiom, % 186.19/186.23 ! [V_a_2,V_b_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__empty__iff2,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__empty__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => ( 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)) % 186.19/186.23 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__atMost,axiom, % 186.19/186.23 ! [V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__greaterThan,axiom, % 186.19/186.23 ! [V_k_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_atLeastLessThan__subset__iff,axiom, % 186.19/186.23 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( 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))) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 186.19/186.23 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 186.19/186.23 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph_OinsertI,axiom, % 186.19/186.23 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 186.19/186.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 186.19/186.23 => 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))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I17_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__diff,axiom, % 186.19/186.23 ! [V_m_2,V_n_2,V_i_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 186.19/186.23 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I11_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_disjoint__eq__subset__Compl,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I21_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 186.19/186.23 => 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) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I15_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__un_I8_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Olinorder(T_b) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 186.19/186.23 => 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) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I2_J,axiom, % 186.19/186.23 ! [V_u_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ivl__disj__int_I9_J,axiom, % 186.19/186.23 ! [V_u_2,V_m_2,V_l_2,T_b] : % 186.19/186.23 ( class_Orderings_Oorder(T_b) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold1Set_Ointros,axiom, % 186.19/186.23 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => 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)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold__graph__permute__diff,axiom, % 186.19/186.23 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 186.19/186.23 ( class_Groups_Oab__semigroup__mult(T_b) % 186.19/186.23 => ( 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)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 186.19/186.23 => 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)) ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_folding__one_Osingleton,axiom, % 186.19/186.23 ! [V_x_2,V_F_2,V_f_2,T_b] : % 186.19/186.23 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.23 => 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 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fold1Set__sing,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,V_f_2,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> V_a_2 = V_b_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_nonempty__iff,axiom, % 186.19/186.23 ! [T_b,V_A_2] : % 186.19/186.23 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.23 <=> ? [B_x,B_B] : % 186.19/186.23 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B) % 186.19/186.23 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Pow__insert,axiom, % 186.19/186.23 ! [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))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 186.19/186.23 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.19/186.23 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.23 => ? [B_y_H] : % 186.19/186.23 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 186.19/186.23 & 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)) ) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Inf__fin_Oidem,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_Sup__fin_Oidem,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Olattice(T_a) % 186.19/186.23 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_linorder__neqE__linordered__idom,axiom, % 186.19/186.23 ! [V_y,V_x,T_a] : % 186.19/186.23 ( class_Rings_Olinordered__idom(T_a) % 186.19/186.23 => ( V_x != V_y % 186.19/186.23 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__eqI,axiom, % 186.19/186.23 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 186.19/186.23 ( V_b_2 = hAPP(V_f_2,V_x_2) % 186.19/186.23 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_double__complement,axiom, % 186.19/186.23 ! [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 ). % 186.19/186.23 % 186.19/186.23 fof(fact_Compl__eq__Compl__iff,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,T_b] : % 186.19/186.23 ( 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) % 186.19/186.23 <=> V_A_2 = V_B_2 ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__Pow__surj,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 186.19/186.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_mult__left__idem,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_mult__idem,axiom, % 186.19/186.23 ! [V_x,T_a] : % 186.19/186.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 186.19/186.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_times_Oidem,axiom, % 186.19/186.23 ! [V_a,T_a] : % 186.19/186.23 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 186.19/186.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 186.19/186.23 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 186.19/186.23 ! [V_c,V_b,V_a,T_a] : % 186.19/186.23 ( class_Groups_Oab__semigroup__mult(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_fun__left__comm,axiom, % 186.19/186.23 ! [T_b] : % 186.19/186.23 ( class_Groups_Oab__semigroup__mult(T_b) % 186.19/186.23 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__mult__right,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Rings_Oring(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__mult__left,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Rings_Oring(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__mult__commute,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Rings_Oring(T_a) % 186.19/186.23 => 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)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_minus__mult__minus,axiom, % 186.19/186.23 ! [V_b,V_a,T_a] : % 186.19/186.23 ( class_Rings_Oring(T_a) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_square__eq__iff,axiom, % 186.19/186.23 ! [V_b_2,V_a_2,T_b] : % 186.19/186.23 ( class_Rings_Oidom(T_b) % 186.19/186.23 => ( 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) % 186.19/186.23 <=> ( V_a_2 = V_b_2 % 186.19/186.23 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__iff,axiom, % 186.19/186.23 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 186.19/186.23 <=> ? [B_x] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.19/186.23 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_imageI,axiom, % 186.19/186.23 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_rev__image__eqI,axiom, % 186.19/186.23 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 186.19/186.23 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__is__empty,axiom, % 186.19/186.23 ! [V_A_2,V_f_2,T_b,T_c] : % 186.19/186.23 ( 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)) % 186.19/186.23 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__empty,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_empty__is__image,axiom, % 186.19/186.23 ! [V_A_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( 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) % 186.19/186.23 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__insert,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__mono,axiom, % 186.19/186.23 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_subset__image__iff,axiom, % 186.19/186.23 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 186.19/186.23 ( 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))) % 186.19/186.23 <=> ? [B_AA] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 186.19/186.23 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__Un,axiom, % 186.19/186.23 ! [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)) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__Pow__mono,axiom, % 186.19/186.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.19/186.23 ( 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)) % 186.19/186.23 => 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))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_insert__image,axiom, % 186.19/186.23 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 186.19/186.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.23 => 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) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_range__eqI,axiom, % 186.19/186.23 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 186.19/186.23 ( V_b_2 = hAPP(V_f_2,V_x_2) % 186.19/186.23 => 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))))) ) ). % 186.19/186.23 % 186.19/186.23 fof(fact_rangeI,axiom, % 186.19/186.23 ! [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))))) ). % 186.19/186.23 % 186.19/186.23 fof(fact_image__Int__subset,axiom, % 186.19/186.23 ! [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)))) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__diff__subset,axiom, % 186.19/186.24 ! [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)))) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__atLeastAtMost,axiom, % 186.19/186.24 ! [V_y_2,V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_type__definition_OAbs__image,axiom, % 186.19/186.24 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.24 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_type__definition_ORep__range,axiom, % 186.19/186.24 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 186.19/186.24 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 186.19/186.24 => 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 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 186.19/186.24 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 186.19/186.24 => V_y_2 = V_x_2 ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__greaterThanLessThan,axiom, % 186.19/186.24 ! [V_y_2,V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_empty__fold1SetE,axiom, % 186.19/186.24 ! [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)) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fold1Set__nonempty,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_f_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 186.19/186.24 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__atLeastLessThan,axiom, % 186.19/186.24 ! [V_y_2,V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__greaterThanAtMost,axiom, % 186.19/186.24 ! [V_y_2,V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__lessThan,axiom, % 186.19/186.24 ! [V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__greaterThan,axiom, % 186.19/186.24 ! [V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__atLeast,axiom, % 186.19/186.24 ! [V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_image__uminus__atMost,axiom, % 186.19/186.24 ! [V_x_2,T_b] : % 186.19/186.24 ( class_Groups_Oordered__ab__group__add(T_b) % 186.19/186.24 => 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)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fold__graph__insert__swap,axiom, % 186.19/186.24 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 186.19/186.24 ( class_Groups_Oab__semigroup__mult(T_b) % 186.19/186.24 => ( 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)) % 186.19/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 186.19/186.24 => 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))) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_surj__Compl__image__subset,axiom, % 186.19/186.24 ! [V_A_2,V_f_2,T_b,T_c] : % 186.19/186.24 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => 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)))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Cantors__paradox,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ~ ? [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) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one_Oremove,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 186.19/186.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => 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)))))) ) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_insert__fold1SetE,axiom, % 186.19/186.24 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 186.19/186.24 ( 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)) % 186.19/186.24 => ~ ! [B_a,B_A] : % 186.19/186.24 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 186.19/186.24 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fold1Set_Oequations,axiom, % 186.19/186.24 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 186.19/186.24 ( 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)) % 186.19/186.24 <=> ? [B_a,B_A] : % 186.19/186.24 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 186.19/186.24 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 186.19/186.24 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 186.19/186.24 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.19/186.24 => ( 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)) % 186.19/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => ~ ! [B_y] : % 186.19/186.24 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 186.19/186.24 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one_Ounion__inter,axiom, % 186.19/186.24 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.19/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => 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)) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one_Ounion__disjoint,axiom, % 186.19/186.24 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.19/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => 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)) ) ) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one_Oinsert__remove,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 186.19/186.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => 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)))))) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite_OemptyI,axiom, % 186.19/186.24 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite_OinsertI,axiom, % 186.19/186.24 ! [V_a_2,V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__imageI,axiom, % 186.19/186.24 ! [V_h_2,T_c,V_F_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Int,axiom, % 186.19/186.24 ! [V_Ga_2,V_F_2,T_b] : % 186.19/186.24 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.19/186.24 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Diff,axiom, % 186.19/186.24 ! [V_B_2,V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => 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))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Inter,axiom, % 186.19/186.24 ! [V_M_2,T_b] : % 186.19/186.24 ( ? [B_x] : % 186.19/186.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 186.19/186.24 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__UN,axiom, % 186.19/186.24 ! [V_B_2,T_c,V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( 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))) % 186.19/186.24 <=> ! [B_x] : % 186.19/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( class_Finite__Set_Ofinite(T_b) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__code,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( class_Finite__Set_Ofinite(T_b) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Prod__UNIV,axiom, % 186.19/186.24 ! [T_c,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 186.19/186.24 => 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)))) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__option__UNIV,axiom, % 186.19/186.24 ! [T_b] : % 186.19/186.24 ( 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)))) % 186.19/186.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Plus__UNIV__iff,axiom, % 186.19/186.24 ! [T_c,T_b] : % 186.19/186.24 ( 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)))) % 186.19/186.24 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.19/186.24 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__UnionD,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Pow__iff,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 186.19/186.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite_Oequations_I1_J,axiom, % 186.19/186.24 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__insert,axiom, % 186.19/186.24 ! [V_A_2,V_a_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 186.19/186.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__fun__UNIVD2,axiom, % 186.19/186.24 ! [T_c,T_b] : % 186.19/186.24 ( 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)))) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__subset,axiom, % 186.19/186.24 ! [V_B_2,V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_rev__finite__subset,axiom, % 186.19/186.24 ! [V_A_2,V_B_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__UNIV,axiom, % 186.19/186.24 ! [T_b] : % 186.19/186.24 ( class_Finite__Set_Ofinite(T_b) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__UnI,axiom, % 186.19/186.24 ! [V_Ga_2,V_F_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Un,axiom, % 186.19/186.24 ! [V_Ga_2,V_F_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) % 186.19/186.24 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.19/186.24 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Diff2,axiom, % 186.19/186.24 ! [V_A_2,V_B_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.19/186.24 => ( 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))) % 186.19/186.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fold__graph__imp__finite,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__surj,axiom, % 186.19/186.24 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.19/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__Diff__insert,axiom, % 186.19/186.24 ! [V_B_2,V_a_2,V_A_2,T_b] : % 186.19/186.24 ( 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)))) % 186.19/186.24 <=> 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))) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__compl,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 186.19/186.24 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one_Oinsert,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => 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)) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__image__simple_Oremove,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 186.19/186.24 => 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)))))) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 186.19/186.24 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.19/186.24 => ( 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)) % 186.19/186.24 => 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)) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.19/186.24 => 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)))))) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Inf__fin_Oremove,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 186.19/186.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => 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)))))) ) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Sup__fin_Oremove,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 186.19/186.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.19/186.24 => 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)))))) ) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one_Oclosed,axiom, % 186.19/186.24 ! [V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => ( ! [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)))))) % 186.19/186.24 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__image,axiom, % 186.19/186.24 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 186.19/186.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => 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)))))) ) % 186.19/186.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => 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) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_finite__empty__induct,axiom, % 186.19/186.24 ! [V_Pa_2,V_A_2,T_b] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 186.19/186.24 => ( ! [B_a,B_A] : % 186.19/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 186.19/186.24 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 186.19/186.24 => 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)))))) ) ) ) % 186.19/186.24 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one__idem_Ounion__idem,axiom, % 186.19/186.24 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.19/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => 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)) ) ) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__triv,axiom, % 186.19/186.24 ! [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 ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__idem,axiom, % 186.19/186.24 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 186.19/186.24 ( hAPP(V_f_2,V_x_2) = V_y_2 % 186.19/186.24 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__other,axiom, % 186.19/186.24 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 186.19/186.24 ( V_z_2 != V_x_2 % 186.19/186.24 => 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) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__twist,axiom, % 186.19/186.24 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 186.19/186.24 ( V_a_2 != V_c_2 % 186.19/186.24 => 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) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__apply,axiom, % 186.19/186.24 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 186.19/186.24 ( ( V_z_2 = V_x_2 % 186.19/186.24 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 186.19/186.24 & ( V_z_2 != V_x_2 % 186.19/186.24 => 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) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__same,axiom, % 186.19/186.24 ! [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 ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__upd,axiom, % 186.19/186.24 ! [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) ). % 186.19/186.24 % 186.19/186.24 fof(fact_fun__upd__idem__iff,axiom, % 186.19/186.24 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 186.19/186.24 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one__idem_Oidem,axiom, % 186.19/186.24 ! [V_x_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.19/186.24 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_ball__UN,axiom, % 186.19/186.24 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 186.19/186.24 ( ! [B_x] : % 186.19/186.24 ( 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))) % 186.19/186.24 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.19/186.24 <=> ! [B_x] : % 186.19/186.24 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.19/186.24 => ! [B_xa] : % 186.19/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 186.19/186.24 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Inf__le__Sup,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => 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))) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__image__simple_Oempty,axiom, % 186.19/186.24 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.19/186.24 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Inf__fin_Osingleton,axiom, % 186.19/186.24 ! [V_x_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => 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 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Sup__fin_Osingleton,axiom, % 186.19/186.24 ! [V_x_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => 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 ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Sup__fin_Oin__idem,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => 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) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_sup__Inf__absorb,axiom, % 186.19/186.24 ! [V_a_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.24 => 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 ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Inf__fin_Oin__idem,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => 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) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_inf__Sup__absorb,axiom, % 186.19/186.24 ! [V_a_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.19/186.24 => 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 ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Sup__fin__Sup,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Inf__fin__Inf,axiom, % 186.19/186.24 ! [V_A_2,T_b] : % 186.19/186.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.19/186.24 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_folding__one__idem_Oin__idem,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.19/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.19/186.24 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 186.19/186.24 % 186.19/186.24 fof(fact_Sup__fin_Oinsert__idem,axiom, % 186.19/186.24 ! [V_x_2,V_A_2,T_b] : % 186.19/186.24 ( class_Lattices_Olattice(T_b) % 186.19/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.19/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Oinsert__idem,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Osubset__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Osubset__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Ounion__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Ounion__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple_Oinsert,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple_Ounion__inter,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Oinsert,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Oinsert,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Oinsert__remove,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.31/186.24 => 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 ) % 186.31/186.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.31/186.24 => 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)))))) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Oinsert__remove,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.31/186.24 => 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 ) % 186.31/186.24 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 186.31/186.24 => 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)))))) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Ounion__inter,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Ounion__inter,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__one__idem_Osubset__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Oclosed,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( ! [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)))))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Oclosed,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( ! [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)))))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__Union,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 186.31/186.24 => ( ! [B_M] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 186.31/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 186.31/186.24 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Ohom__commute,axiom, % 186.31/186.24 ! [V_N_2,V_h_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( ! [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)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Ohom__commute,axiom, % 186.31/186.24 ! [V_N_2,V_h_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( ! [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)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__subset__induct,axiom, % 186.31/186.24 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.24 => ( ! [B_a,B_F] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 186.31/186.24 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 186.31/186.24 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 186.31/186.24 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__rec,axiom, % 186.31/186.24 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__Un,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Groups_Oab__semigroup__mult(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__one__idem_Ohom__commute,axiom, % 186.31/186.24 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( ! [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)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__empty,axiom, % 186.31/186.24 ! [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 ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__eq__fold__idem,axiom, % 186.31/186.24 ! [V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__eq__fold,axiom, % 186.31/186.24 ! [V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Groups_Oab__semigroup__mult(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 186.31/186.24 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__singleton__def,axiom, % 186.31/186.24 ! [V_a_2,V_f_2,T_b,V_g_2] : % 186.31/186.24 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__singleton,axiom, % 186.31/186.24 ! [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 ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__equality,axiom, % 186.31/186.24 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 186.31/186.24 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__one_Oeq__fold,axiom, % 186.31/186.24 ! [V_A_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_union__fold__insert,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__sup__insert,axiom, % 186.31/186.24 ! [V_a_2,V_b_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__sup(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__inf__insert,axiom, % 186.31/186.24 ! [V_a_2,V_b_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_sup__Sup__fold__sup,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_inf__Inf__fold__inf,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 186.31/186.24 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 186.31/186.24 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_OF__eq,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_OF__eq,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_sup__le__fold__sup,axiom, % 186.31/186.24 ! [V_b_2,V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__sup(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__inf__le__inf,axiom, % 186.31/186.24 ! [V_b_2,V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fold__sup,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fold__inf,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 186.31/186.24 ! [V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 186.31/186.24 ! [V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 186.31/186.24 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__insert,axiom, % 186.31/186.24 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__one_Oeq__fold_H,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__belowI,axiom, % 186.31/186.24 ! [V_a_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_below__fold1__iff,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__insert__idem,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__Un2,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Olattice(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 186.31/186.24 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__insert,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( class_Groups_Oab__semigroup__mult(T_b) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_semilattice__big_OF__eq,axiom, % 186.31/186.24 ! [V_A_2,V_F_2,V_f_2,T_b] : % 186.31/186.24 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold1__in,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( class_Groups_Oab__semigroup__mult(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( ! [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)))))) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_hom__fold1__commute,axiom, % 186.31/186.24 ! [V_N_2,V_h_2,T_b] : % 186.31/186.24 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 186.31/186.24 => ( ! [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)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.24 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( 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))) % 186.31/186.24 => hAPP(V_g_2,B_x) = V_z_2 ) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 186.31/186.24 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 186.31/186.24 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff1__ring,axiom, % 186.31/186.24 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Rings_Oring(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff1,axiom, % 186.31/186.24 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Oab__group__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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)) ) % 186.31/186.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Oremove,axiom, % 186.31/186.24 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 186.31/186.24 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff__nat__ivl,axiom, % 186.31/186.24 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 186.31/186.24 ( class_Groups_Oab__group__add(T_b) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 186.31/186.24 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem__insert,axiom, % 186.31/186.24 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem,axiom, % 186.31/186.24 ! [T_b] : % 186.31/186.24 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 186.31/186.24 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem__sup,axiom, % 186.31/186.24 ! [T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__sup(T_b) % 186.31/186.24 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fun__left__comm__idem__inf,axiom, % 186.31/186.24 ! [T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.24 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff__nat,axiom, % 186.31/186.24 ! [V_f_2,V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Oinsert,axiom, % 186.31/186.24 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__insert,axiom, % 186.31/186.24 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__Un__Int,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Ounion__inter,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff1__nat,axiom, % 186.31/186.24 ! [V_f_2,V_A_2,V_a_2,T_b] : % 186.31/186.24 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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)) ) % 186.31/186.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff,axiom, % 186.31/186.24 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Oab__group__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Oinsert__remove,axiom, % 186.31/186.24 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__Un__disjoint,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Ounion__disjoint,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__strict__mono,axiom, % 186.31/186.24 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 186.31/186.24 => 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))) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__diff1_H,axiom, % 186.31/186.24 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum_Oremove,axiom, % 186.31/186.24 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_inf__le__fold__inf,axiom, % 186.31/186.24 ! [V_c_2,V_b_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__sup__le__sup,axiom, % 186.31/186.24 ! [V_c_2,V_b_2,V_A_2,T_b] : % 186.31/186.24 ( class_Lattices_Osemilattice__sup(T_b) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__ivl__cong,axiom, % 186.31/186.24 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 186.31/186.24 ( ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 & class_Orderings_Oord(T_b) ) % 186.31/186.24 => ( V_a_2 = V_c_2 % 186.31/186.24 => ( V_b_2 = V_d_2 % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 186.31/186.24 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__atLeastLessThan,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__add__nat__ivl,axiom, % 186.31/186.24 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 186.31/186.24 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 186.31/186.24 ! [V_N_2] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 186.31/186.24 <=> ? [B_m] : % 186.31/186.24 ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oab__semigroup__add(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__left__cancel,axiom, % 186.31/186.24 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.24 ( class_Groups_Ocancel__semigroup__add(T_b) % 186.31/186.24 => ( 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) % 186.31/186.24 <=> V_b_2 = V_c_2 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__right__cancel,axiom, % 186.31/186.24 ! [V_c_2,V_a_2,V_b_2,T_b] : % 186.31/186.24 ( class_Groups_Ocancel__semigroup__add(T_b) % 186.31/186.24 => ( 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) % 186.31/186.24 <=> V_b_2 = V_c_2 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__left__imp__eq,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ocancel__semigroup__add(T_a) % 186.31/186.24 => ( 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) % 186.31/186.24 => V_b = V_c ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__imp__eq,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 186.31/186.24 => ( 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) % 186.31/186.24 => V_b = V_c ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__right__imp__eq,axiom, % 186.31/186.24 ! [V_c,V_a,V_b,T_a] : % 186.31/186.24 ( class_Groups_Ocancel__semigroup__add(T_a) % 186.31/186.24 => ( 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) % 186.31/186.24 => V_b = V_c ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_atLeastLessThan__add__Un,axiom, % 186.31/186.24 ! [V_k_2,V_j_2,V_i_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple__idem_Oidem,axiom, % 186.31/186.24 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__imp__le__left,axiom, % 186.31/186.24 ! [V_b,V_a,V_c,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 186.31/186.24 => ( 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))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__imp__le__right,axiom, % 186.31/186.24 ! [V_b,V_c,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 186.31/186.24 => ( 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))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__mono,axiom, % 186.31/186.24 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__left__mono,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__right__mono,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__cancel__left,axiom, % 186.31/186.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__cancel__right,axiom, % 186.31/186.24 ! [V_b_2,V_c_2,V_a_2,T_b] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__imp__less__left,axiom, % 186.31/186.24 ! [V_b,V_a,V_c,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 186.31/186.24 => ( 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))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__imp__less__right,axiom, % 186.31/186.24 ! [V_b,V_c,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 186.31/186.24 => ( 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))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__strict__mono,axiom, % 186.31/186.24 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__strict__left__mono,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__strict__right__mono,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__cancel__left,axiom, % 186.31/186.24 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__cancel__right,axiom, % 186.31/186.24 ! [V_b_2,V_c_2,V_a_2,T_b] : % 186.31/186.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_combine__common__factor,axiom, % 186.31/186.24 ! [V_c,V_b,V_e,V_a,T_a] : % 186.31/186.24 ( class_Rings_Osemiring(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__class_Odistrib,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__diff__cancel,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__add__cancel,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_minus__add__distrib,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oab__group__add(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_minus__add,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__minus__cancel,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_minus__add__cancel,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__less__mono,axiom, % 186.31/186.24 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__le__mono,axiom, % 186.31/186.24 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_eq__add__iff1,axiom, % 186.31/186.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 186.31/186.24 ( class_Rings_Oring(T_b) % 186.31/186.24 => ( 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) % 186.31/186.24 <=> 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 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_eq__add__iff2,axiom, % 186.31/186.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 186.31/186.24 ( class_Rings_Oring(T_b) % 186.31/186.24 => ( 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) % 186.31/186.24 <=> 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__def,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_ab__diff__minus,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Oab__group__add(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__minus__eq__add,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Groups_Ogroup__add(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add__iff1,axiom, % 186.31/186.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 186.31/186.24 ( class_Rings_Oordered__ring(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add__iff2,axiom, % 186.31/186.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 186.31/186.24 ( class_Rings_Oordered__ring(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__add__iff1,axiom, % 186.31/186.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 186.31/186.24 ( class_Rings_Oordered__ring(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__add__iff2,axiom, % 186.31/186.24 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 186.31/186.24 ( class_Rings_Oordered__ring(T_b) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__Un__nat,axiom, % 186.31/186.24 ! [V_f_2,V_B_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__insert,axiom, % 186.31/186.24 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum_Oinsert,axiom, % 186.31/186.24 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__Un__Int,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.24 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum_Oinsert__remove,axiom, % 186.31/186.24 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__Un__disjoint,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__Un,axiom, % 186.31/186.24 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Oab__group__add(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 186.31/186.24 ! [V_y,V_x,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__ring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__less__add__iff2,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__less__add__iff1,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__eq__add__iff2,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2) % 186.31/186.24 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__diff__add__eq2,axiom, % 186.31/186.24 ! [V_n,V_m,V_u,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__le__add__iff2,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__eq__add__iff1,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2) % 186.31/186.24 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__diff__add__eq1,axiom, % 186.31/186.24 ! [V_n,V_m,V_u,V_i,V_j] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__lessThan,axiom, % 186.31/186.24 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__greaterThanAtMost,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__greaterThanLessThan,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__atMost,axiom, % 186.31/186.24 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__atLeastAtMost,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_left__add__mult__distrib,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_finite__nat__set__iff__bounded,axiom, % 186.31/186.24 ! [V_N_2] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 186.31/186.24 <=> ? [B_m] : % 186.31/186.24 ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_infinite__UNIV__nat,axiom, % 186.31/186.24 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 186.31/186.24 ! [V_c,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 186.31/186.24 ! [V_d,V_c,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 186.31/186.24 ! [V_d,V_c,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 186.31/186.24 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 186.31/186.24 ! [V_b,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 186.31/186.24 ! [V_ry,V_rx,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 186.31/186.24 ! [V_ry,V_rx,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 186.31/186.24 ! [V_rx,V_ly,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 186.31/186.24 ! [V_rx,V_ly,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 186.31/186.24 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 186.31/186.24 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 186.31/186.24 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_crossproduct__eq,axiom, % 186.31/186.24 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 186.31/186.24 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 186.31/186.24 => ( 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)) % 186.31/186.24 <=> ( V_w_2 = V_x_2 % 186.31/186.24 | V_y_2 = V_z_2 ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 186.31/186.24 ! [V_b,V_m,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 186.31/186.24 ! [V_c,V_b,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_crossproduct__noteq,axiom, % 186.31/186.24 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.24 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 186.31/186.24 => ( ( V_a_2 != V_b_2 % 186.31/186.24 & V_c_2 != V_d_2 ) % 186.31/186.24 <=> 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 186.31/186.24 ! [V_z,V_y,V_x,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__le__add__iff1,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__diff__right,axiom, % 186.31/186.24 ! [V_i,V_j,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__diff__conv,axiom, % 186.31/186.24 ! [V_i_2,V_k_2,V_j_2] : % 186.31/186.24 ( 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)) % 186.31/186.24 <=> 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add__diff,axiom, % 186.31/186.24 ! [V_m,V_n,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add__diff__inverse,axiom, % 186.31/186.24 ! [V_m,V_n] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__diff__assoc,axiom, % 186.31/186.24 ! [V_i,V_j,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__diff__conv2,axiom, % 186.31/186.24 ! [V_i_2,V_j_2,V_k_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 186.31/186.24 => ( 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))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add__diff__inverse2,axiom, % 186.31/186.24 ! [V_m,V_n] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__imp__diff__is__add,axiom, % 186.31/186.24 ! [V_k_2,V_j_2,V_i_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 186.31/186.24 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__less__cases,axiom, % 186.31/186.24 ! [V_Pa_2,V_n_2,V_m_2] : % 186.31/186.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 186.31/186.24 => ( ( V_m_2 = V_n_2 % 186.31/186.24 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 186.31/186.24 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 186.31/186.24 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 186.31/186.24 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__not__refl3,axiom, % 186.31/186.24 ! [V_t,V_s] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 186.31/186.24 => V_s != V_t ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__not__refl2,axiom, % 186.31/186.24 ! [V_m,V_n] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 186.31/186.24 => V_m != V_n ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__irrefl__nat,axiom, % 186.31/186.24 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_linorder__neqE__nat,axiom, % 186.31/186.24 ! [V_y,V_x] : % 186.31/186.24 ( V_x != V_y % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__neq__iff,axiom, % 186.31/186.24 ! [V_n_2,V_m_2] : % 186.31/186.24 ( V_m_2 != V_n_2 % 186.31/186.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__not__refl,axiom, % 186.31/186.24 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__commute,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__left__commute,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__assoc,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__left__cancel,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.24 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2) % 186.31/186.24 <=> V_m_2 = V_n_2 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__right__cancel,axiom, % 186.31/186.24 ! [V_n_2,V_k_2,V_m_2] : % 186.31/186.24 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2) % 186.31/186.24 <=> V_m_2 = V_n_2 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__antisym,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.24 => V_m = V_n ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__trans,axiom, % 186.31/186.24 ! [V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_eq__imp__le,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( V_m = V_n % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__le__linear,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__refl,axiom, % 186.31/186.24 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__commute,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__mult__commute,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__mult__assoc,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_not__add__less1,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_not__add__less2,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__left__cancel__less,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_trans__less__add1,axiom, % 186.31/186.24 ! [V_m,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_trans__less__add2,axiom, % 186.31/186.24 ! [V_m,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__mono1,axiom, % 186.31/186.24 ! [V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__less__mono,axiom, % 186.31/186.24 ! [V_l,V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__add__eq__less,axiom, % 186.31/186.24 ! [V_n,V_m,V_l,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 186.31/186.24 => ( 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) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__lessD1,axiom, % 186.31/186.24 ! [V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__or__eq__imp__le,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 | V_m = V_n ) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__neq__implies__less,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => ( V_m != V_n % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__imp__le__nat,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__eq__less__or__eq,axiom, % 186.31/186.24 ! [V_n_2,V_m_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 | V_m_2 = V_n_2 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__less__le,axiom, % 186.31/186.24 ! [V_n_2,V_m_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 & V_m_2 != V_n_2 ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__leE,axiom, % 186.31/186.24 ! [V_n,V_k,V_m] : % 186.31/186.24 ( 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)) % 186.31/186.24 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__leD1,axiom, % 186.31/186.24 ! [V_n,V_k,V_m] : % 186.31/186.24 ( 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)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__leD2,axiom, % 186.31/186.24 ! [V_n,V_k,V_m] : % 186.31/186.24 ( 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)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__mono,axiom, % 186.31/186.24 ! [V_l,V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__le__mono1,axiom, % 186.31/186.24 ! [V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_trans__le__add2,axiom, % 186.31/186.24 ! [V_m,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_trans__le__add1,axiom, % 186.31/186.24 ! [V_m,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__add__left__cancel__le,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__iff__add,axiom, % 186.31/186.24 ! [V_n_2,V_m_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.24 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add1,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__add2,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__less__mono2,axiom, % 186.31/186.24 ! [V_l,V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__imp__diff__less,axiom, % 186.31/186.24 ! [V_n,V_k,V_j] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__cancel2,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__cancel,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__diff__left,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__add__inverse,axiom, % 186.31/186.24 ! [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 ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__add__inverse2,axiom, % 186.31/186.24 ! [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 ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__mult__distrib,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__mult__distrib2,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__diff__iff,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Nat_Odiff__diff__eq,axiom, % 186.31/186.24 ! [V_n,V_m,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_eq__diff__iff,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2) % 186.31/186.24 <=> V_m_2 = V_n_2 ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__diff__cancel,axiom, % 186.31/186.24 ! [V_n,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__le__mono,axiom, % 186.31/186.24 ! [V_l,V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__le__mono2,axiom, % 186.31/186.24 ! [V_l,V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__le__self,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__square,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le__cube,axiom, % 186.31/186.24 ! [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)))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult__le__mono1,axiom, % 186.31/186.24 ! [V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult__le__mono2,axiom, % 186.31/186.24 ! [V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult__le__mono,axiom, % 186.31/186.24 ! [V_l,V_k,V_j,V_i] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__mult__distrib2,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__mult__distrib,axiom, % 186.31/186.24 ! [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)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__diff__inverse,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => 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 ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__diff__conv,axiom, % 186.31/186.24 ! [V_k_2,V_j_2,V_i_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))) % 186.31/186.24 <=> 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__diff__iff,axiom, % 186.31/186.24 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))) % 186.31/186.24 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__less__mono,axiom, % 186.31/186.24 ! [V_c,V_b,V_a] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__add__assoc2,axiom, % 186.31/186.24 ! [V_i,V_j,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_add__diff__assoc2,axiom, % 186.31/186.24 ! [V_i,V_j,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__add__assoc,axiom, % 186.31/186.24 ! [V_i,V_j,V_k] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_termination__basic__simps_I4_J,axiom, % 186.31/186.24 ! [V_y,V_z,V_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_termination__basic__simps_I3_J,axiom, % 186.31/186.24 ! [V_z,V_y,V_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_termination__basic__simps_I5_J,axiom, % 186.31/186.24 ! [V_y,V_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_termination__basic__simps_I1_J,axiom, % 186.31/186.24 ! [V_z,V_y,V_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_termination__basic__simps_I2_J,axiom, % 186.31/186.24 ! [V_y,V_z,V_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff2__less,axiom, % 186.31/186.24 ! [V_y_2,V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff1__less,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__ub__add__nat,axiom, % 186.31/186.24 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) % 186.31/186.24 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__UNIV__unit,axiom, % 186.31/186.24 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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_one__reorient,axiom, % 186.31/186.24 ! [V_x_2,T_b] : % 186.31/186.24 ( class_Groups_Oone(T_b) % 186.31/186.24 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 186.31/186.24 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult_Ocomm__neutral,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_a) % 186.31/186.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult__1__right,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult__1,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_a) % 186.31/186.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_mult__1__left,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__eq__1__iff,axiom, % 186.31/186.24 ! [V_f_2,V_F_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.31/186.24 => ( 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) % 186.31/186.24 <=> ! [B_x] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 186.31/186.24 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__mult__1,axiom, % 186.31/186.24 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__1__eq__mult__iff,axiom, % 186.31/186.24 ! [V_n_2,V_m_2] : % 186.31/186.24 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 186.31/186.24 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 186.31/186.24 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__mult__1__right,axiom, % 186.31/186.24 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat__mult__eq__1__iff,axiom, % 186.31/186.24 ! [V_n_2,V_m_2] : % 186.31/186.24 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 186.31/186.24 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 186.31/186.24 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__lessThan,axiom, % 186.31/186.24 ! [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 ). % 186.31/186.24 % 186.31/186.24 fof(fact_card_Oinsert,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 186.31/186.24 ! [V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.24 => ( 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))) % 186.31/186.24 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__add__one,axiom, % 186.31/186.24 ! [V_a,T_a] : % 186.31/186.24 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.24 => 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)))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__1__mult,axiom, % 186.31/186.24 ! [V_n,V_m,T_a] : % 186.31/186.24 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 186.31/186.24 ! [V_m,V_a,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 186.31/186.24 ! [V_a,V_m,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 186.31/186.24 ! [V_m,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 186.31/186.24 ! [V_x,T_a] : % 186.31/186.24 ( class_Rings_Ocomm__ring__1(T_a) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_square__eq__1__iff,axiom, % 186.31/186.24 ! [V_x_2,T_b] : % 186.31/186.24 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 186.31/186.24 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 186.31/186.24 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 186.31/186.24 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_subset__card__intvl__is__intvl,axiom, % 186.31/186.24 ! [V_k_2,V_A_2] : % 186.31/186.24 ( 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))))) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__atLeastLessThan,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Oempty,axiom, % 186.31/186.24 ! [V_g_2,T_c,T_b] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__empty,axiom, % 186.31/186.24 ! [V_f_2,T_c,T_b] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.24 => 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) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Oinfinite,axiom, % 186.31/186.24 ! [V_g_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__infinite,axiom, % 186.31/186.24 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff__insert,axiom, % 186.31/186.24 ! [V_B_2,V_a_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.24 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card_Oinsert__remove,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)))))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__greaterThanAtMost,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card_Oremove,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)))))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff__singleton,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff__singleton__if,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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)) ) % 186.31/186.24 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__insert__le,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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)))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__seteq,axiom, % 186.31/186.24 ! [V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.24 => ( 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))) % 186.31/186.24 => V_A_2 = V_B_2 ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__mono,axiom, % 186.31/186.24 ! [V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__image__le,axiom, % 186.31/186.24 ! [V_f_2,T_c,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_psubset__card__mono,axiom, % 186.31/186.24 ! [V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Un__Int,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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))) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card_Ounion__inter,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff__subset,axiom, % 186.31/186.24 ! [V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff__subset__Int,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( 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))) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_diff__card__le__card__Diff,axiom, % 186.31/186.24 ! [V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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)))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__psubset,axiom, % 186.31/186.24 ! [V_A_2,V_B_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.24 => ( 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))) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Un__disjoint,axiom, % 186.31/186.24 ! [V_B_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Diff1__le,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => 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))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod_Ounion__inter__neutral,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( 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))) % 186.31/186.24 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__Un__one,axiom, % 186.31/186.24 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( 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))) % 186.31/186.24 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__Un__disjoint,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.24 => 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)) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__mono__one__right,axiom, % 186.31/186.24 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( 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))) % 186.31/186.24 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 186.31/186.24 => 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) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setprod__mono__one__left,axiom, % 186.31/186.24 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 186.31/186.24 => ( ! [B_x] : % 186.31/186.24 ( 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))) % 186.31/186.24 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 186.31/186.24 => 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) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_card__Suc__Diff1,axiom, % 186.31/186.24 ! [V_x_2,V_A_2,T_b] : % 186.31/186.24 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.24 => 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) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_fold__image__Un__Int,axiom, % 186.31/186.24 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.24 => 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))) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_convex__bound__lt,axiom, % 186.31/186.24 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 186.31/186.24 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 186.31/186.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 186.31/186.24 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 186.31/186.24 => 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)) ) ) ) ) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_less__zeroE,axiom, % 186.31/186.24 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_le0,axiom, % 186.31/186.24 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_zero__less__Suc,axiom, % 186.31/186.24 ! [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))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Suc__mono,axiom, % 186.31/186.24 ! [V_n,V_m] : % 186.31/186.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_lessI,axiom, % 186.31/186.24 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_One__nat__def,axiom, % 186.31/186.24 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 186.31/186.24 ! [V_k_2,V_f_2,T_b] : % 186.31/186.24 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.24 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.24 => 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)) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_zero__reorient,axiom, % 186.31/186.24 ! [V_x_2,T_b] : % 186.31/186.24 ( class_Groups_Ozero(T_b) % 186.31/186.24 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 186.31/186.24 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_atLeast__Suc__greaterThan,axiom, % 186.31/186.24 ! [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) ). % 186.31/186.24 % 186.31/186.24 fof(fact_greaterThan__Suc,axiom, % 186.31/186.24 ! [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)))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_atLeast__Suc,axiom, % 186.31/186.24 ! [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)))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 186.31/186.24 ! [V_k_2,V_f_2] : % 186.31/186.24 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.24 => 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)) ) ). % 186.31/186.24 % 186.31/186.24 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 186.31/186.24 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Zero__not__Suc,axiom, % 186.31/186.24 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat_Osimps_I2_J,axiom, % 186.31/186.24 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 186.31/186.24 % 186.31/186.24 fof(fact_n__not__Suc__n,axiom, % 186.31/186.24 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 186.31/186.24 % 186.31/186.24 fof(fact_Suc__not__Zero,axiom, % 186.31/186.24 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.24 % 186.31/186.24 fof(fact_nat_Osimps_I3_J,axiom, % 186.31/186.25 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__n__not__n,axiom, % 186.31/186.25 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat_Oinject,axiom, % 186.31/186.25 ! [V_nat_H_2,V_nat_2] : % 186.31/186.25 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 186.31/186.25 <=> V_nat_2 = V_nat_H_2 ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Zero__neq__Suc,axiom, % 186.31/186.25 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__neq__Zero,axiom, % 186.31/186.25 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__inject,axiom, % 186.31/186.25 ! [V_y,V_x] : % 186.31/186.25 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 186.31/186.25 => V_x = V_y ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_greaterThan__0,axiom, % 186.31/186.25 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))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__eq__1__iff,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.25 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.25 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__Suc__eq__0__disj,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.25 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 | ? [B_j] : % 186.31/186.25 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__Suc0,axiom, % 186.31/186.25 ! [V_n_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 186.31/186.25 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_gr0__conv__Suc,axiom, % 186.31/186.25 ! [V_n_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 186.31/186.25 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_one__is__add,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) % 186.31/186.25 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.25 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.25 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__is__1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.25 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.25 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.25 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__pred,axiom, % 186.31/186.25 ! [V_n] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.25 => 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 ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__Suc__less,axiom, % 186.31/186.25 ! [V_i,V_n] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_n__less__m__mult__n,axiom, % 186.31/186.25 ! [V_m,V_n] : % 186.31/186.25 ( 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)) % 186.31/186.25 => ( 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)) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_n__less__n__mult__m,axiom, % 186.31/186.25 ! [V_m,V_n] : % 186.31/186.25 ( 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)) % 186.31/186.25 => ( 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)) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_one__less__mult,axiom, % 186.31/186.25 ! [V_m,V_n] : % 186.31/186.25 ( 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)) % 186.31/186.25 => ( 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)) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_one__le__mult__iff,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))) % 186.31/186.25 <=> ( 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)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__eq__Suc0__iff,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( 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)) % 186.31/186.25 <=> ? [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.25 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.25 & ! [B_xa] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 186.31/186.25 => ( B_x != B_xa % 186.31/186.25 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__less__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__Suc__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 | V_m_2 = V_n_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__less__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__less__less__Suc__eq,axiom, % 186.31/186.25 ! [V_m_2,V_n_2] : % 186.31/186.25 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 186.31/186.25 <=> V_n_2 = V_m_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__antisym,axiom, % 186.31/186.25 ! [V_m,V_n] : % 186.31/186.25 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 186.31/186.25 => V_m = V_n ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__SucI,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__lessI,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__trans__Suc,axiom, % 186.31/186.25 ! [V_k,V_j,V_i] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__SucE,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 186.31/186.25 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => V_m = V_n ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__lessD,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__less__SucD,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__Suc__shift,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__Suc,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__Suc__right,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__n__not__le__n,axiom, % 186.31/186.25 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__less__eq__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__Suc__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__le__mono,axiom, % 186.31/186.25 ! [V_m_2,V_n_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__SucI,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__SucE,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 186.31/186.25 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__leD,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__Suc__Suc,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__diff__diff,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__mult__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2) % 186.31/186.25 <=> V_m_2 = V_n_2 ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__0__left,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Omonoid__add(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__0,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_double__zero__sym,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__0__right,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Omonoid__add(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add_Ocomm__neutral,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__0__iff,axiom, % 186.31/186.25 ! [V_a_2,V_b_2,T_b] : % 186.31/186.25 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 186.31/186.25 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divisors__zero,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Ono__zero__divisors(T_a) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_no__zero__divisors,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Ono__zero__divisors(T_a) % 186.31/186.25 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__eq__0__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Oring__no__zero__divisors(T_b) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__zero__right,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Omult__zero(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__zero__left,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Omult__zero(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_right__minus__eq,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_b) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> V_a_2 = V_b_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_eq__iff__diff__eq__0,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oab__group__add(T_b) % 186.31/186.25 => ( V_a_2 = V_b_2 % 186.31/186.25 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__self,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__0__right,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_one__neq__zero,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Ozero__neq__one(T_a) % 186.31/186.25 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__neq__one,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Ozero__neq__one(T_a) % 186.31/186.25 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__zero,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__0__equal__iff__equal,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_b) % 186.31/186.25 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 186.31/186.25 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_equal__neg__zero,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__equal__0__iff__equal,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_b) % 186.31/186.25 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__equal__zero,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_fold__image__empty,axiom, % 186.31/186.25 ! [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 ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__less0,axiom, % 186.31/186.25 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neq0__conv,axiom, % 186.31/186.25 ! [V_n_2] : % 186.31/186.25 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__nat__zero__code,axiom, % 186.31/186.25 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_gr__implies__not0,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_gr0I,axiom, % 186.31/186.25 ! [V_n] : % 186.31/186.25 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__eq__self__zero,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 186.31/186.25 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__is__0,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Nat_Oadd__0__right,axiom, % 186.31/186.25 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 186.31/186.25 % 186.31/186.25 fof(fact_plus__nat_Oadd__0,axiom, % 186.31/186.25 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastLessThan__singleton,axiom, % 186.31/186.25 ! [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))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_image__Suc__atLeastLessThan,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 186.31/186.25 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__0__eq,axiom, % 186.31/186.25 ! [V_n_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 186.31/186.25 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__0__eq__0,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__nat_Odiff__0,axiom, % 186.31/186.25 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__self__eq__0,axiom, % 186.31/186.25 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diffs0__imp__equal,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => V_m = V_n ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__cancel2,axiom, % 186.31/186.25 ! [V_n_2,V_k_2,V_m_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2) % 186.31/186.25 <=> ( V_m_2 = V_n_2 % 186.31/186.25 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 186.31/186.25 <=> ( V_m_2 = V_n_2 % 186.31/186.25 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__is__0,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__0__right,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__0,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__mult__eq__cancel__disj,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 186.31/186.25 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 | V_m_2 = V_n_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_image__Suc__atLeastAtMost,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_lessThan__Suc,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastLessThan0,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atMost__Suc,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__atMost,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeast__0,axiom, % 186.31/186.25 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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_lessThan__0,axiom, % 186.31/186.25 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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum_Oeq__fold,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum_OF__eq,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__diff__1,axiom, % 186.31/186.25 ! [V_n] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.25 => 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 ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atMost__0,axiom, % 186.31/186.25 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))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__op__ivl__Suc,axiom, % 186.31/186.25 ! [V_f_2,V_m_2,V_n_2,T_b] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 186.31/186.25 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 186.31/186.25 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__add__Suc1,axiom, % 186.31/186.25 ! [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)))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__add__Suc2,axiom, % 186.31/186.25 ! [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)))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__iff__Suc__add,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__eq__Suc__le,axiom, % 186.31/186.25 ! [V_m_2,V_n_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__Suc__eq__le,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__le__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__imp__less__Suc,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__leI,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__less__Suc__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 186.31/186.25 <=> V_n_2 = V_m_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__le__lessD,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__cl__ivl__Suc,axiom, % 186.31/186.25 ! [V_f_2,V_m_2,V_n_2,T_b] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 186.31/186.25 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 186.31/186.25 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__less__Suc,axiom, % 186.31/186.25 ! [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))) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__mult__less__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__Suc,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__Suc__right,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__diff__le,axiom, % 186.31/186.25 ! [V_m,V_n] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__mult__le__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__nonneg__nonneg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__nonneg__eq__0__iff,axiom, % 186.31/186.25 ! [V_y_2,V_x_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__increasing,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__increasing2,axiom, % 186.31/186.25 ! [V_a,V_b,V_c,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__nonpos__nonpos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_split__mult__neg__le,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__cancel__semiring(T_a) % 186.31/186.25 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_split__mult__pos__le,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__ring(T_a) % 186.31/186.25 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__mono,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__mono_H,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__left__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Oordered__ring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__right__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Oordered__ring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__mult__left__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__comm__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__left__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__right__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__nonpos__nonpos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__ring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__nonpos__nonneg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__cancel__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__nonneg__nonpos2,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__cancel__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__nonneg__nonpos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__cancel__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__nonneg__nonneg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Oordered__cancel__semiring(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__le__0__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__le__mult__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__le__square,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring(T_a) % 186.31/186.25 => 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))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_pos__add__strict,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__neg__neg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__pos__pos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__strict__left__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__strict__right__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__mult__strict__left__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__strict__left__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__strict__right__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__neg__neg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__neg__pos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__cancel__left__neg,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__mult__pos2,axiom, % 186.31/186.25 ! [V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__mult__pos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__pos__neg2,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__pos__neg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__pos__pos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__cancel__left__pos,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__cancel__left__disj,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__cancel__right__disj,axiom, % 186.31/186.25 ! [V_b_2,V_c_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__square__less__zero,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring(T_a) % 186.31/186.25 => ~ 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))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__iff__diff__le__0,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 186.31/186.25 <=> 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__iff__diff__less__0,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 186.31/186.25 <=> 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__scale__eq__noteq,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 186.31/186.25 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 186.31/186.25 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => ( ( V_a = V_b % 186.31/186.25 & V_c != V_d ) % 186.31/186.25 => 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)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__le__one,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.25 => 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))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__one__le__zero,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.25 => ~ 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))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__one,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__one__less__zero,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.25 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__Suc__1,axiom, % 186.31/186.25 ! [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 ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__0__le__iff__le,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_le__minus__self__iff,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__le__0__iff__le,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__le__self__iff,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( 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)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__0__less__iff__less,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__less__0__iff__less,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__less__nonneg,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_less__minus__self__iff,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_right__minus,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_eq__neg__iff__add__eq__0,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_b) % 186.31/186.25 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 186.31/186.25 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_left__minus,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_ab__left__minus,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Oab__group__add(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__unique,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__0,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Groups_Ogroup__add(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastLessThanSuc,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__empty,axiom, % 186.31/186.25 ! [V_f_2,T_c,T_b] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum_Oempty,axiom, % 186.31/186.25 ! [V_g_2,T_c,T_b] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__infinite,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum_Oinfinite,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setprod__pos__nat__iff,axiom, % 186.31/186.25 ! [V_f_2,V_S_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ! [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastAtMostSuc__conv,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.25 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setprod__zero__iff,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( ( class_Rings_Ocomm__semiring__1(T_c) % 186.31/186.25 & class_Rings_Ono__zero__divisors(T_c) ) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( 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) % 186.31/186.25 <=> ? [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.25 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setprod__zero,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Rings_Ocomm__semiring__1(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( ? [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.25 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 186.31/186.25 => 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) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__atLeastAtMost,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__gr__0,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 186.31/186.25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card_Oempty,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__infinite,axiom, % 186.31/186.25 ! [V_A_2,T_b] : % 186.31/186.25 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__less,axiom, % 186.31/186.25 ! [V_m,V_n] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 186.31/186.25 => 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)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__diff,axiom, % 186.31/186.25 ! [V_m_2,V_n_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__0__less__mult__iff,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__cancel2,axiom, % 186.31/186.25 ! [V_n_2,V_k_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__mono1,axiom, % 186.31/186.25 ! [V_k,V_j,V_i] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__mono2,axiom, % 186.31/186.25 ! [V_k,V_j,V_i] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__mult__eq__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 186.31/186.25 <=> V_m_2 = V_n_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__mult__less__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__add__0,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__is__0__eq_H,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.25 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__is__0__eq,axiom, % 186.31/186.25 ! [V_n_2,V_m_2] : % 186.31/186.25 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__eq__self__implies__10,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 186.31/186.25 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 186.31/186.25 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__eq__0__iff,axiom, % 186.31/186.25 ! [V_f_2,V_F_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.31/186.25 => ( 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) % 186.31/186.25 <=> ! [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 186.31/186.25 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_lessThan__Suc__atMost,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeast0LessThan,axiom, % 186.31/186.25 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ). % 186.31/186.25 % 186.31/186.25 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 186.31/186.25 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.25 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__greaterThanLessThan,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeast0AtMost,axiom, % 186.31/186.25 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__Suc__diff__eq2,axiom, % 186.31/186.25 ! [V_m,V_j,V_k] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__Suc__diff__eq1,axiom, % 186.31/186.25 ! [V_m,V_j,V_k] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__nonpos__neg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__neg__nonpos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__strict__increasing2,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__strict__increasing,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__nonneg__pos,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__pos__nonneg,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__left__le__imp__le,axiom, % 186.31/186.25 ! [V_b,V_a,V_c,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__right__le__imp__le,axiom, % 186.31/186.25 ! [V_b,V_c,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__imp__less__left,axiom, % 186.31/186.25 ! [V_b,V_a,V_c,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__left__less__imp__less,axiom, % 186.31/186.25 ! [V_b,V_a,V_c,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__imp__less__right,axiom, % 186.31/186.25 ! [V_b,V_c,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__right__less__imp__less,axiom, % 186.31/186.25 ! [V_b,V_c,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring(T_a) % 186.31/186.25 => ( 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))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__le__less__imp__less,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__less__le__imp__less,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__strict__mono_H,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__strict__mono,axiom, % 186.31/186.25 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__strict(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__le__cancel__left__neg,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__le__cancel__left__pos,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__left__le__one__le,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.25 => 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)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__right__le__one__le,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.25 => 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)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__two,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.25 => 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)))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__eq__0__iff,axiom, % 186.31/186.25 ! [V_A_2,T_b] : % 186.31/186.25 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.25 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__ge__0__finite,axiom, % 186.31/186.25 ! [V_A_2,T_b] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__diff__split,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_Pa_2] : % 186.31/186.25 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 186.31/186.25 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 186.31/186.25 & ! [B_d] : % 186.31/186.25 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 186.31/186.25 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__diff__split__asm,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_Pa_2] : % 186.31/186.25 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 186.31/186.25 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 186.31/186.25 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 186.31/186.25 | ? [B_d] : % 186.31/186.25 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 186.31/186.25 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__le__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__le__cancel2,axiom, % 186.31/186.25 ! [V_n_2,V_k_2,V_m_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))) % 186.31/186.25 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nat__mult__le__cancel1,axiom, % 186.31/186.25 ! [V_n_2,V_m_2,V_k_2] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__eq__1__iff,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( 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) % 186.31/186.25 <=> ? [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.25 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 186.31/186.25 & ! [B_xa] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 186.31/186.25 => ( B_x != B_xa % 186.31/186.25 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__insert__if,axiom, % 186.31/186.25 ! [V_x_2,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.25 => 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) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.25 => 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)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__insert__disjoint,axiom, % 186.31/186.25 ! [V_x_2,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.25 => 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)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_convex__bound__le,axiom, % 186.31/186.25 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__semiring__1(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 186.31/186.25 => 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)) ) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__head__upt__Suc,axiom, % 186.31/186.25 ! [V_f_2,V_n_2,V_m_2,T_b] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_fold__image__insert,axiom, % 186.31/186.25 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Oab__semigroup__mult(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.25 => 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)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__head__Suc,axiom, % 186.31/186.25 ! [V_f_2,V_n_2,V_m_2,T_b] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.25 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__gt__0__iff,axiom, % 186.31/186.25 ! [V_A_2,T_b] : % 186.31/186.25 ( 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))) % 186.31/186.25 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.25 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setprod_OF__eq,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.25 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setprod_Oeq__fold,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_finite__UNIV__card__ge__0,axiom, % 186.31/186.25 ! [T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.25 => 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))))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__insert,axiom, % 186.31/186.25 ! [V_x_2,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => 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)))))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_finite__fun__UNIVD1,axiom, % 186.31/186.25 ! [T_c,T_b] : % 186.31/186.25 ( 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)))) % 186.31/186.25 => ( 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)) % 186.31/186.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__eq__if,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.25 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => 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)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__eq__if,axiom, % 186.31/186.25 ! [V_n,V_m] : % 186.31/186.25 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 186.31/186.25 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => 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)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__pred_H,axiom, % 186.31/186.25 ! [V_n] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.25 => 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))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sum__squares__gt__zero__iff,axiom, % 186.31/186.25 ! [V_y_2,V_x_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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)))) % 186.31/186.25 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_not__sum__squares__lt__zero,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring(T_a) % 186.31/186.25 => ~ 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))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sum__squares__le__zero__iff,axiom, % 186.31/186.25 ! [V_y_2,V_x_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sum__squares__ge__zero,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__ring(T_a) % 186.31/186.25 => 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)))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_bot__nat__def,axiom, % 186.31/186.25 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sum__squares__eq__zero__iff,axiom, % 186.31/186.25 ! [V_y_2,V_x_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__ring__strict(T_b) % 186.31/186.25 => ( 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) % 186.31/186.25 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__eq__plus1__left,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Suc__eq__plus1,axiom, % 186.31/186.25 ! [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)) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__Suc__eq__diff__pred,axiom, % 186.31/186.25 ! [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) ). % 186.31/186.25 % 186.31/186.25 fof(fact_ex__nat__less,axiom, % 186.31/186.25 ! [V_Pa_2,V_n_2] : % 186.31/186.25 ( ? [B_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 186.31/186.25 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 186.31/186.25 <=> ? [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2))) % 186.31/186.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_all__nat__less,axiom, % 186.31/186.25 ! [V_Pa_2,V_n_2] : % 186.31/186.25 ( ! [B_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 186.31/186.25 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 186.31/186.25 <=> ! [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2))) % 186.31/186.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_ex__nat__less__eq,axiom, % 186.31/186.25 ! [V_Pa_2,V_n_2] : % 186.31/186.25 ( ? [B_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 186.31/186.25 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 186.31/186.25 <=> ? [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))) % 186.31/186.25 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_all__nat__less__eq,axiom, % 186.31/186.25 ! [V_Pa_2,V_n_2] : % 186.31/186.25 ( ! [B_m] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 186.31/186.25 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 186.31/186.25 <=> ! [B_x] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))) % 186.31/186.25 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_even__less__0__iff,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__monoid__big_OF__eq,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.25 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 186.31/186.25 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.25 => 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) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.25 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card_Ounion__inter__neutral,axiom, % 186.31/186.25 ! [V_B_2,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.25 => ( ( ? [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))) % 186.31/186.25 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.25 => 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)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_comm__monoid__big_Oinfinite,axiom, % 186.31/186.25 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.25 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 186.31/186.25 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.25 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_double__eq__0__iff,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__mono2,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Oordered__comm__monoid__add(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.25 => ( ! [B_b] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 186.31/186.25 => 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))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_fold__image__Un__one,axiom, % 186.31/186.25 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.25 => ( ! [B_x] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 186.31/186.25 => 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)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum_Ounion__inter__neutral,axiom, % 186.31/186.25 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.25 => ( ! [B_x] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 186.31/186.25 => 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)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__Un__zero,axiom, % 186.31/186.25 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.25 => ( ! [B_x] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 186.31/186.25 => 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)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__Suc__eq,axiom, % 186.31/186.25 ! [V_k_2,V_A_2,T_b] : % 186.31/186.25 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 186.31/186.25 <=> ? [B_b,B_B] : % 186.31/186.25 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 186.31/186.25 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 186.31/186.25 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 186.31/186.25 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.25 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__mono3,axiom, % 186.31/186.25 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 186.31/186.25 ( ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.25 => ( ! [B_x] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 186.31/186.25 => 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))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__odd__less__0,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__0,axiom, % 186.31/186.25 ! [T_b] : % 186.31/186.25 ( class_Rings_Oring__1(T_b) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__add,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Oring__1(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__mult,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Oring__1(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__diff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Oring__1(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__1,axiom, % 186.31/186.25 ! [T_b] : % 186.31/186.25 ( class_Rings_Oring__1(T_b) % 186.31/186.25 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__minus,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Oring__1(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__double__eq__0__iff,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Int_Oring__char__0(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_Ints__odd__nonzero,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Int_Oring__char__0(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__Plus__conv__if,axiom, % 186.31/186.25 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.25 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 186.31/186.25 => 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)) ) % 186.31/186.25 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setprod__diff1,axiom, % 186.31/186.25 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 186.31/186.25 ( class_Fields_Ofield(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 186.31/186.25 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.25 => 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)) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.25 => 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) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_ex__least__nat__less,axiom, % 186.31/186.25 ! [V_n_2,V_Pa_2] : % 186.31/186.25 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 186.31/186.25 => ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 186.31/186.25 => ? [B_k] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 186.31/186.25 & ! [B_i] : % 186.31/186.25 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 186.31/186.25 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 186.31/186.25 & 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)))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__mono__zero__right,axiom, % 186.31/186.25 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 186.31/186.25 => ( ! [B_x] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 186.31/186.25 => 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) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_setsum__mono__zero__left,axiom, % 186.31/186.25 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 186.31/186.25 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 186.31/186.25 => ( ! [B_x] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 186.31/186.25 => 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) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__1__neg,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( 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)) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__sgn,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__zero__left,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__zero,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_add__divide__distrib,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_times__divide__eq__right,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_diff__divide__distrib,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__1,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__divide__left,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__0__0,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn0,axiom, % 186.31/186.25 ! [T_a] : % 186.31/186.25 ( class_Groups_Osgn__if(T_a) % 186.31/186.25 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__times,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_eq__divide__imp,axiom, % 186.31/186.25 ! [V_b,V_a,V_c,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 186.31/186.25 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__eq__imp,axiom, % 186.31/186.25 ! [V_a,V_b,V_c,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 186.31/186.25 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nonzero__divide__eq__eq,axiom, % 186.31/186.25 ! [V_a_2,V_b_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_b) % 186.31/186.25 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 186.31/186.25 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nonzero__eq__divide__eq,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_b) % 186.31/186.25 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 186.31/186.25 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_right__inverse__eq,axiom, % 186.31/186.25 ! [V_a_2,V_b_2,T_b] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_b) % 186.31/186.25 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.25 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 186.31/186.25 <=> V_a_2 = V_b_2 ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__self,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__self__if,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 186.31/186.25 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 186.31/186.25 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nonzero__minus__divide__divide,axiom, % 186.31/186.25 ! [V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => 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) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_nonzero__minus__divide__right,axiom, % 186.31/186.25 ! [V_a,V_b,T_a] : % 186.31/186.25 ( class_Rings_Odivision__ring(T_a) % 186.31/186.25 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => 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)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__less,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__greater,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_finite__Plus__iff,axiom, % 186.31/186.25 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.25 ( 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))) % 186.31/186.25 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_finite__Plus,axiom, % 186.31/186.25 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.25 => 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))) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_finite__PlusD_I1_J,axiom, % 186.31/186.25 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_finite__PlusD_I2_J,axiom, % 186.31/186.25 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.25 ( 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))) % 186.31/186.25 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__pos,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.25 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__1__pos,axiom, % 186.31/186.25 ! [V_a_2,T_b] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.25 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 186.31/186.25 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_card__Plus,axiom, % 186.31/186.25 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.25 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.25 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.25 => 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)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__if,axiom, % 186.31/186.25 ! [V_x,T_a] : % 186.31/186.25 ( class_Groups_Osgn__if(T_a) % 186.31/186.25 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 186.31/186.25 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.25 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 186.31/186.25 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_sgn__neg,axiom, % 186.31/186.25 ! [V_a,T_a] : % 186.31/186.25 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__left__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( 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))) % 186.31/186.25 => 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))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__left__mono,axiom, % 186.31/186.25 ! [V_c,V_a,V_b,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => ( 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))) % 186.31/186.25 => 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))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__divide__le__eq,axiom, % 186.31/186.25 ! [V_a_2,V_b_2,V_c_2,T_b] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 => ( 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)) % 186.31/186.25 <=> 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)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_neg__le__divide__eq,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_b) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__imp__le__div__pos,axiom, % 186.31/186.25 ! [V_x,V_z,V_y,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.25 => ( 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)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_mult__imp__div__pos__le,axiom, % 186.31/186.25 ! [V_z,V_x,V_y,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.25 => ( 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))) % 186.31/186.25 => 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)) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_times__divide__times__eq,axiom, % 186.31/186.25 ! [V_w,V_z,V_y,V_x,T_a] : % 186.31/186.25 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__divide__divide,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.25 => 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) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_minus__divide__right,axiom, % 186.31/186.25 ! [V_b,V_a,T_a] : % 186.31/186.25 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.25 => 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)) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__right__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__right__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__le__0__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__le__divide__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__strict__right__mono__neg,axiom, % 186.31/186.25 ! [V_c,V_a,V_b,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__strict__right__mono,axiom, % 186.31/186.25 ! [V_c,V_b,V_a,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__neg__neg,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__neg__pos,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__pos__neg,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__pos__pos,axiom, % 186.31/186.25 ! [V_y,V_x,T_a] : % 186.31/186.25 ( class_Fields_Olinordered__field(T_a) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.25 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.25 => 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))) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_divide__less__0__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_zero__less__divide__iff,axiom, % 186.31/186.25 ! [V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.25 => ( 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))) % 186.31/186.25 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 186.31/186.25 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.25 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 186.31/186.25 % 186.31/186.25 fof(fact_eq__divide__eq,axiom, % 186.31/186.25 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.25 ( class_Fields_Ofield__inverse__zero(T_b) % 186.31/186.26 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 186.31/186.26 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 186.31/186.26 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__eq__eq,axiom, % 186.31/186.26 ! [V_a_2,V_c_2,V_b_2,T_b] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_b) % 186.31/186.26 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 186.31/186.26 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 186.31/186.26 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_mult__divide__mult__cancel__right,axiom, % 186.31/186.26 ! [V_b,V_a,V_c,T_a] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.26 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_mult__divide__mult__cancel__left,axiom, % 186.31/186.26 ! [V_b,V_a,V_c,T_a] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.26 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_frac__eq__eq,axiom, % 186.31/186.26 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 186.31/186.26 ( class_Fields_Ofield(T_b) % 186.31/186.26 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => ( 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) % 186.31/186.26 <=> 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) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__nonneg__pos,axiom, % 186.31/186.26 ! [V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__nonneg__neg,axiom, % 186.31/186.26 ! [V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_frac__less2,axiom, % 186.31/186.26 ! [V_z,V_w,V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 186.31/186.26 => 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))) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_frac__less,axiom, % 186.31/186.26 ! [V_z,V_w,V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 186.31/186.26 => 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))) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_frac__le,axiom, % 186.31/186.26 ! [V_z,V_w,V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 186.31/186.26 => 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))) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__nonpos__pos,axiom, % 186.31/186.26 ! [V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__nonpos__neg,axiom, % 186.31/186.26 ! [V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__strict__left__mono__neg,axiom, % 186.31/186.26 ! [V_c,V_b,V_a,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.26 => ( 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))) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__strict__left__mono,axiom, % 186.31/186.26 ! [V_c,V_a,V_b,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 186.31/186.26 => ( 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))) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_neg__divide__less__eq,axiom, % 186.31/186.26 ! [V_a_2,V_b_2,V_c_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_neg__less__divide__eq,axiom, % 186.31/186.26 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_mult__imp__less__div__pos,axiom, % 186.31/186.26 ! [V_x,V_z,V_y,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_mult__imp__div__pos__less,axiom, % 186.31/186.26 ! [V_z,V_x,V_y,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.26 => ( 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))) % 186.31/186.26 => 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_pos__divide__less__eq,axiom, % 186.31/186.26 ! [V_a_2,V_b_2,V_c_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_pos__less__divide__eq,axiom, % 186.31/186.26 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__less__eq,axiom, % 186.31/186.26 ! [V_a_2,V_c_2,V_b_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__divide__eq,axiom, % 186.31/186.26 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__num__frac,axiom, % 186.31/186.26 ! [V_x,V_z,V_y,T_a] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.26 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__divide__eq__iff,axiom, % 186.31/186.26 ! [V_y,V_x,V_z,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__frac__num,axiom, % 186.31/186.26 ! [V_z,V_x,V_y,T_a] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.26 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__add__eq__iff,axiom, % 186.31/186.26 ! [V_y,V_x,V_z,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__frac__eq,axiom, % 186.31/186.26 ! [V_w,V_x,V_z,V_y,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_diff__frac__eq,axiom, % 186.31/186.26 ! [V_w,V_x,V_z,V_y,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__diff__eq__iff,axiom, % 186.31/186.26 ! [V_y,V_x,V_z,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_diff__divide__eq__iff,axiom, % 186.31/186.26 ! [V_y,V_x,V_z,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__half__sum,axiom, % 186.31/186.26 ! [V_b,V_a,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.26 => 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))))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_gt__half__sum,axiom, % 186.31/186.26 ! [V_b,V_a,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.26 => 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)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_le__divide__eq,axiom, % 186.31/186.26 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__le__eq,axiom, % 186.31/186.26 ! [V_a_2,V_c_2,V_b_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_pos__le__divide__eq,axiom, % 186.31/186.26 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_pos__divide__le__eq,axiom, % 186.31/186.26 ! [V_a_2,V_b_2,V_c_2,T_b] : % 186.31/186.26 ( class_Fields_Olinordered__field(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_UNIV__Plus__UNIV,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_setprod__Un,axiom, % 186.31/186.26 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.26 ( class_Fields_Ofield(T_c) % 186.31/186.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( 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))) % 186.31/186.26 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Plus__eq__empty__conv,axiom, % 186.31/186.26 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.26 ( 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)) % 186.31/186.26 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.26 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_field__le__mult__one__interval,axiom, % 186.31/186.26 ! [V_y,V_x,T_a] : % 186.31/186.26 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.26 => ( ! [B_z] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.26 => 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)) ) ) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_setprod__pos__nat,axiom, % 186.31/186.26 ! [V_f_2,V_S_2,T_b] : % 186.31/186.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.31/186.26 => 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))) ) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_setsum__SucD,axiom, % 186.31/186.26 ! [V_n_2,V_A_2,V_f_2,T_b] : % 186.31/186.26 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 186.31/186.26 => ? [B_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.26 & 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_card__partition,axiom, % 186.31/186.26 ! [V_k_2,V_C_2,T_b] : % 186.31/186.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 186.31/186.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 186.31/186.26 => ( ! [B_c] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 186.31/186.26 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 186.31/186.26 => ( ! [B_c1] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 186.31/186.26 => ! [B_c2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 186.31/186.26 => ( B_c1 != B_c2 % 186.31/186.26 => 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)) ) ) ) % 186.31/186.26 => 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)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_fold__image__1,axiom, % 186.31/186.26 ! [V_f_2,V_S_2,T_b,T_c] : % 186.31/186.26 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.31/186.26 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 186.31/186.26 => 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) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_card_Oneutral,axiom, % 186.31/186.26 ! [V_A_2,T_b] : % 186.31/186.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.26 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.26 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.26 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_fold__image__cong,axiom, % 186.31/186.26 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 186.31/186.26 ( class_Groups_Oab__semigroup__mult(T_c) % 186.31/186.26 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.26 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 186.31/186.26 => 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) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_expand__Suc,axiom, % 186.31/186.26 ! [V_v] : % 186.31/186.26 ( 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))) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_card__Pow,axiom, % 186.31/186.26 ! [V_A_2,T_b] : % 186.31/186.26 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_eq__number__of,axiom, % 186.31/186.26 ! [V_y_2,V_x_2,T_b] : % 186.31/186.26 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.26 & class_Int_Oring__char__0(T_b) ) % 186.31/186.26 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 186.31/186.26 <=> V_x_2 = V_y_2 ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_number__of__reorient,axiom, % 186.31/186.26 ! [V_x_2,V_w_2,T_b] : % 186.31/186.26 ( class_Int_Onumber(T_b) % 186.31/186.26 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 186.31/186.26 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_le__number__of,axiom, % 186.31/186.26 ! [V_y_2,V_x_2,T_b] : % 186.31/186.26 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.26 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__number__of,axiom, % 186.31/186.26 ! [V_y_2,V_x_2,T_b] : % 186.31/186.26 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.26 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 186.31/186.26 ! [V_q,V_y,V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_number__of__add,axiom, % 186.31/186.26 ! [V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__number__of__eq,axiom, % 186.31/186.26 ! [V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__number__of__left,axiom, % 186.31/186.26 ! [V_z,V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_number__of__mult,axiom, % 186.31/186.26 ! [V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_arith__simps_I32_J,axiom, % 186.31/186.26 ! [V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_mult__number__of__left,axiom, % 186.31/186.26 ! [V_z,V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_diff__number__of__eq,axiom, % 186.31/186.26 ! [V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_number__of__diff,axiom, % 186.31/186.26 ! [V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_number__of__minus,axiom, % 186.31/186.26 ! [V_w,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_arith__simps_I30_J,axiom, % 186.31/186.26 ! [V_w,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 186.31/186.26 ! [V_q,V_p,V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 186.31/186.26 ! [V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_le__number__of__eq__not__less,axiom, % 186.31/186.26 ! [V_w_2,V_v_2,T_b] : % 186.31/186.26 ( ( class_Int_Onumber(T_b) % 186.31/186.26 & class_Orderings_Olinorder(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ~ 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_left__distrib__number__of,axiom, % 186.31/186.26 ! [V_v,V_b,V_a,T_b] : % 186.31/186.26 ( ( class_Int_Onumber(T_b) % 186.31/186.26 & class_Rings_Osemiring(T_b) ) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_right__distrib__number__of,axiom, % 186.31/186.26 ! [V_c,V_b,V_v,T_b] : % 186.31/186.26 ( ( class_Int_Onumber(T_b) % 186.31/186.26 & class_Rings_Osemiring(T_b) ) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 186.31/186.26 ! [V_q,V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 186.31/186.26 ! [V_q,V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 186.31/186.26 ! [V_q,V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__number__of__diff1,axiom, % 186.31/186.26 ! [V_c,V_w,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add__number__of__diff2,axiom, % 186.31/186.26 ! [V_w,V_c,V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_right__diff__distrib__number__of,axiom, % 186.31/186.26 ! [V_c,V_b,V_v,T_b] : % 186.31/186.26 ( ( class_Int_Onumber(T_b) % 186.31/186.26 & class_Rings_Oring(T_b) ) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_left__diff__distrib__number__of,axiom, % 186.31/186.26 ! [V_v,V_b,V_a,T_b] : % 186.31/186.26 ( ( class_Int_Onumber(T_b) % 186.31/186.26 & class_Rings_Oring(T_b) ) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 186.31/186.26 ! [V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 186.31/186.26 ! [V_q,V_p,V_x,T_a] : % 186.31/186.26 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_minus__number__of__mult,axiom, % 186.31/186.26 ! [V_z,V_w,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Ints__power,axiom, % 186.31/186.26 ! [V_n_2,V_a_2,T_b] : % 186.31/186.26 ( class_Rings_Oring__1(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Ints__number__of,axiom, % 186.31/186.26 ! [V_w_2,T_b] : % 186.31/186.26 ( class_Int_Onumber__ring(T_b) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_eq__divide__eq__number__of1,axiom, % 186.31/186.26 ! [V_w_2,V_b_2,V_a_2,T_b] : % 186.31/186.26 ( ( class_Fields_Ofield__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => 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 ) % 186.31/186.26 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_eq__divide__eq__number__of,axiom, % 186.31/186.26 ! [V_c_2,V_b_2,V_w_2,T_b] : % 186.31/186.26 ( ( class_Fields_Ofield__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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) % 186.31/186.26 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => 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 ) % 186.31/186.26 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__eq__eq__number__of,axiom, % 186.31/186.26 ! [V_w_2,V_c_2,V_b_2,T_b] : % 186.31/186.26 ( ( class_Fields_Ofield__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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) % 186.31/186.26 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => 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) ) % 186.31/186.26 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__eq__eq__number__of1,axiom, % 186.31/186.26 ! [V_a_2,V_w_2,V_b_2,T_b] : % 186.31/186.26 ( ( class_Fields_Ofield__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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 % 186.31/186.26 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__divide__eq__number__of1,axiom, % 186.31/186.26 ! [V_w_2,V_b_2,V_a_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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)))) % 186.31/186.26 <=> ( ( 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))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => ( ( 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))) % 186.31/186.26 => 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)))) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__divide__eq__number__of,axiom, % 186.31/186.26 ! [V_c_2,V_b_2,V_w_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__less__eq__number__of,axiom, % 186.31/186.26 ! [V_w_2,V_c_2,V_b_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__less__eq__number__of1,axiom, % 186.31/186.26 ! [V_a_2,V_w_2,V_b_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> ( ( 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))) % 186.31/186.26 => 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)))) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => ( ( 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))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__eq__if,axiom, % 186.31/186.26 ! [V_p,V_m] : % 186.31/186.26 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.26 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 186.31/186.26 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.26 => 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)))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__le__eq__number__of1,axiom, % 186.31/186.26 ! [V_a_2,V_w_2,V_b_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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)) % 186.31/186.26 <=> ( ( 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))) % 186.31/186.26 => 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)))) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => ( ( 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))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_divide__le__eq__number__of,axiom, % 186.31/186.26 ! [V_w_2,V_c_2,V_b_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_le__divide__eq__number__of,axiom, % 186.31/186.26 ! [V_c_2,V_b_2,V_w_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 186.31/186.26 => 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))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_le__divide__eq__number__of1,axiom, % 186.31/186.26 ! [V_w_2,V_b_2,V_a_2,T_b] : % 186.31/186.26 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.26 & class_Int_Onumber(T_b) ) % 186.31/186.26 => ( 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)))) % 186.31/186.26 <=> ( ( 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))) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => ( ( 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))) % 186.31/186.26 => 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)))) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__strict__mono,axiom, % 186.31/186.26 ! [V_n,V_b,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__diff,axiom, % 186.31/186.26 ! [V_m,V_n,V_a,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.26 => 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_one__less__power,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__le__imp__le__exp,axiom, % 186.31/186.26 ! [V_n,V_m,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => ( 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__increasing__iff,axiom, % 186.31/186.26 ! [V_y_2,V_x_2,V_b_2,T_b] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__decreasing,axiom, % 186.31/186.26 ! [V_a,V_N,V_n,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_minus__numeral__code_I6_J,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_plus__numeral__code_I9_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__number__of__int__code,axiom, % 186.31/186.26 ! [V_l_2,V_k_2] : % 186.31/186.26 ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_times__numeral__code_I5_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_minus__numeral__code_I5_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__eq__number__of__int__code,axiom, % 186.31/186.26 ! [V_l_2,V_k_2] : % 186.31/186.26 ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__1,axiom, % 186.31/186.26 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__1__right,axiom, % 186.31/186.26 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__add1__eq__le,axiom, % 186.31/186.26 ! [V_z_2,V_w_2] : % 186.31/186.26 ( 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)))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_add1__zle__eq,axiom, % 186.31/186.26 ! [V_z_2,V_w_2] : % 186.31/186.26 ( 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)) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zless__imp__add1__zle,axiom, % 186.31/186.26 ! [V_z,V_w] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zless__add1__eq,axiom, % 186.31/186.26 ! [V_z_2,V_w_2] : % 186.31/186.26 ( 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)))) % 186.31/186.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 186.31/186.26 | V_w_2 = V_z_2 ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__left__mono,axiom, % 186.31/186.26 ! [V_k,V_j,V_i] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__zless__mono,axiom, % 186.31/186.26 ! [V_z,V_z_H,V_w,V_w_H] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zless__le,axiom, % 186.31/186.26 ! [V_w_2,V_z_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 186.31/186.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 186.31/186.26 & V_z_2 != V_w_2 ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__refl,axiom, % 186.31/186.26 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__linear,axiom, % 186.31/186.26 ! [V_w,V_z] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 186.31/186.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__trans,axiom, % 186.31/186.26 ! [V_k,V_j,V_i] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__antisym,axiom, % 186.31/186.26 ! [V_w,V_z] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 186.31/186.26 => V_z = V_w ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zminus__zminus,axiom, % 186.31/186.26 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__zminus,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__commute,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__assoc,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zless__linear,axiom, % 186.31/186.26 ! [V_y,V_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 186.31/186.26 | V_x = V_y % 186.31/186.26 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__strict__right__mono,axiom, % 186.31/186.26 ! [V_k,V_j,V_i] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__commute,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__left__commute,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__assoc,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__zmult__distrib,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__zmult__distrib2,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zminus__zadd__distrib,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_diff__int__def__symmetric,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_diff__int__def,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiff__zmult__distrib2,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiff__zmult__distrib,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_equal__int__def,axiom, % 186.31/186.26 ! [V_l_2,V_k_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) % 186.31/186.26 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zminus__0,axiom, % 186.31/186.26 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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__zless__mono2,axiom, % 186.31/186.26 ! [V_k,V_j,V_i] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__bin__lemma,axiom, % 186.31/186.26 ! [V_l_2,V_k_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 186.31/186.26 <=> 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__0,axiom, % 186.31/186.26 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__0__right,axiom, % 186.31/186.26 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__zminus__inverse2,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_odd__nonzero,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_odd__less__0,axiom, % 186.31/186.26 ! [V_z_2] : % 186.31/186.26 ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_le__imp__0__less,axiom, % 186.31/186.26 ! [V_z] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__one__le__iff__zero__less,axiom, % 186.31/186.26 ! [V_z_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__diff1__eq,axiom, % 186.31/186.26 ! [V_z_2,V_w_2] : % 186.31/186.26 ( 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)))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__0__less__1,axiom, % 186.31/186.26 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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_pos__zmult__eq__1__iff,axiom, % 186.31/186.26 ! [V_n_2,V_m_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 186.31/186.26 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 186.31/186.26 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 186.31/186.26 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zsgn__def,axiom, % 186.31/186.26 ! [V_i] : % 186.31/186.26 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.26 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.26 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.26 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 186.31/186.26 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 186.31/186.26 => 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)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zpower__zadd__distrib,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zpower__zpower,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_field__power__not__zero,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 186.31/186.26 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__mult__distrib,axiom, % 186.31/186.26 ! [V_n,V_b,V_a,T_a] : % 186.31/186.26 ( class_Groups_Ocomm__monoid__mult(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__commutes,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__one,axiom, % 186.31/186.26 ! [V_n,T_a] : % 186.31/186.26 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__mult,axiom, % 186.31/186.26 ! [V_n,V_m,V_a,T_a] : % 186.31/186.26 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__divide,axiom, % 186.31/186.26 ! [V_n,V_b,V_a,T_a] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__one__right,axiom, % 186.31/186.26 ! [V_a,T_a] : % 186.31/186.26 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.26 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zero__le__power,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__mono,axiom, % 186.31/186.26 ! [V_n,V_b,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zero__less__power,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__eq__0__iff,axiom, % 186.31/186.26 ! [V_n_2,V_a_2,T_b] : % 186.31/186.26 ( ( class_Power_Opower(T_b) % 186.31/186.26 & class_Rings_Omult__zero(T_b) % 186.31/186.26 & class_Rings_Ono__zero__divisors(T_b) % 186.31/186.26 & class_Rings_Ozero__neq__one(T_b) ) % 186.31/186.26 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.26 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_one__le__power,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__0__Suc,axiom, % 186.31/186.26 ! [V_n,T_a] : % 186.31/186.26 ( ( class_Power_Opower(T_a) % 186.31/186.26 & class_Rings_Osemiring__0(T_a) ) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__inject__exp,axiom, % 186.31/186.26 ! [V_n_2,V_m_2,V_a_2,T_b] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 186.31/186.26 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) % 186.31/186.26 <=> V_m_2 = V_n_2 ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__Suc2,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__Suc,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Power_Opower(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__0,axiom, % 186.31/186.26 ! [V_a,T_a] : % 186.31/186.26 ( class_Power_Opower(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__add,axiom, % 186.31/186.26 ! [V_n,V_m,V_a,T_a] : % 186.31/186.26 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_nonzero__power__divide,axiom, % 186.31/186.26 ! [V_n,V_a,V_b,T_a] : % 186.31/186.26 ( class_Fields_Ofield(T_a) % 186.31/186.26 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.26 => 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)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__one__over,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__Suc__0,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 186.31/186.26 ! [V_m_2,V_x_2] : % 186.31/186.26 ( 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)) % 186.31/186.26 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.26 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_nat__power__less__imp__less,axiom, % 186.31/186.26 ! [V_n,V_m,V_i] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 186.31/186.26 => ( 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_nat__zero__less__power__iff,axiom, % 186.31/186.26 ! [V_n_2,V_x_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))) % 186.31/186.26 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 186.31/186.26 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__less__imp__less__base,axiom, % 186.31/186.26 ! [V_b,V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__le__imp__le__base,axiom, % 186.31/186.26 ! [V_b,V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( 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)))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__inject__base,axiom, % 186.31/186.26 ! [V_b,V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.26 => V_a = V_b ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__less__power__Suc,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => 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)))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__gt1__lemma,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => 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)))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__0__left,axiom, % 186.31/186.26 ! [V_n,T_a] : % 186.31/186.26 ( ( class_Power_Opower(T_a) % 186.31/186.26 & class_Rings_Osemiring__0(T_a) ) % 186.31/186.26 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.26 => 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) ) % 186.31/186.26 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.26 => 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) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__gt1,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => 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)))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__strict__increasing__iff,axiom, % 186.31/186.26 ! [V_y_2,V_x_2,V_b_2,T_b] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__less__imp__less__exp,axiom, % 186.31/186.26 ! [V_n,V_m,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => ( 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__strict__increasing,axiom, % 186.31/186.26 ! [V_a,V_N,V_n,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__increasing,axiom, % 186.31/186.26 ! [V_a,V_N,V_n,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__minus,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Oring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_nat__one__le__power,axiom, % 186.31/186.26 ! [V_n,V_i] : % 186.31/186.26 ( 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)) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__Suc__less,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__eq__imp__eq__base,axiom, % 186.31/186.26 ! [V_b,V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( 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) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.26 => V_a = V_b ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__Suc__less__one,axiom, % 186.31/186.26 ! [V_n,V_a,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__strict__decreasing,axiom, % 186.31/186.26 ! [V_a,V_N,V_n,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_self__quotient__aux1,axiom, % 186.31/186.26 ! [V_q,V_r,V_a] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_self__quotient__aux2,axiom, % 186.31/186.26 ! [V_q,V_r,V_a] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_q__pos__lemma,axiom, % 186.31/186.26 ! [V_r_H,V_q_H,V_b_H] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_q__neg__lemma,axiom, % 186.31/186.26 ! [V_r_H,V_q_H,V_b_H] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_unique__quotient__lemma,axiom, % 186.31/186.26 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiv__mono2__lemma,axiom, % 186.31/186.26 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 186.31/186.26 ( 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) % 186.31/186.26 => ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_finite__atLeastAtMost__int,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_finite__atLeastLessThan__int,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_finite__greaterThanAtMost__int,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_finite__greaterThanLessThan__int,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_number__of__is__id,axiom, % 186.31/186.26 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 186.31/186.26 % 186.31/186.26 fof(fact_eq__number__of__int__code,axiom, % 186.31/186.26 ! [V_l_2,V_k_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__0__neq__1,axiom, % 186.31/186.26 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 186.31/186.26 % 186.31/186.26 fof(fact_eq__int__refl,axiom, % 186.31/186.26 ! [V_k] : hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k),V_k)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiv__mono2__neg__lemma,axiom, % 186.31/186.26 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 186.31/186.26 ( 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) % 186.31/186.26 => ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_unique__quotient__lemma__neg,axiom, % 186.31/186.26 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_simp__from__to,axiom, % 186.31/186.26 ! [V_i_2,V_j_2] : % 186.31/186.26 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 186.31/186.26 => 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)) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 186.31/186.26 => 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)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 186.31/186.26 ! [V_n,V_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 186.31/186.26 ! [V_y,V_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 186.31/186.26 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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 186.31/186.26 ! [V_y,V_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power__power__power,axiom, % 186.31/186.26 ! [T_b] : % 186.31/186.26 ( class_Power_Opower(T_b) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_infinite__UNIV__int,axiom, % 186.31/186.26 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_power_Opower_Opower__0,axiom, % 186.31/186.26 ! [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 ). % 186.31/186.26 % 186.31/186.26 fof(fact_power_Opower_Opower__Suc,axiom, % 186.31/186.26 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 186.31/186.26 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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_aset_I6_J,axiom, % 186.31/186.26 ! [V_A_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 186.31/186.26 => 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)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_bset_I8_J,axiom, % 186.31/186.26 ! [V_B_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_bset_I6_J,axiom, % 186.31/186.26 ! [V_t_2,V_B_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 186.31/186.26 => 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_aset_I8_J,axiom, % 186.31/186.26 ! [V_t_2,V_A_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_periodic__finite__ex,axiom, % 186.31/186.26 ! [V_Pa_2,V_d_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 186.31/186.26 => ( ! [B_x,B_k] : % 186.31/186.26 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.26 <=> 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)))) ) % 186.31/186.26 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.26 <=> ? [B_x] : % 186.31/186.26 ( 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))) % 186.31/186.26 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_aset_I4_J,axiom, % 186.31/186.26 ! [V_A_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( B_x != V_t_2 % 186.31/186.26 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_bset_I3_J,axiom, % 186.31/186.26 ! [V_B_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xa] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 186.31/186.26 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 186.31/186.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_aset_I3_J,axiom, % 186.31/186.26 ! [V_A_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( 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)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xa] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 186.31/186.26 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 186.31/186.26 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_aset_I5_J,axiom, % 186.31/186.26 ! [V_A_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 186.31/186.26 => 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)) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_bset_I7_J,axiom, % 186.31/186.26 ! [V_B_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 186.31/186.26 => 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))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_bset_I4_J,axiom, % 186.31/186.26 ! [V_B_2,V_t_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( B_x != V_t_2 % 186.31/186.26 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_aset_I7_J,axiom, % 186.31/186.26 ! [V_t_2,V_A_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 186.31/186.26 => 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))) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_bset_I5_J,axiom, % 186.31/186.26 ! [V_t_2,V_B_2,V_D_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( ! [B_xa] : % 186.31/186.26 ( 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))) % 186.31/186.26 => ! [B_xb] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 186.31/186.26 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 186.31/186.26 => 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)) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_tsub__def,axiom, % 186.31/186.26 ! [V_x,V_y] : % 186.31/186.26 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 186.31/186.26 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 186.31/186.26 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 186.31/186.26 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__power__div__base,axiom, % 186.31/186.26 ! [V_k,V_m] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 186.31/186.26 => 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)))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_decr__mult__lemma,axiom, % 186.31/186.26 ! [V_k_2,V_Pa_2,V_d_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.26 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.26 => 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)))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_incr__mult__lemma,axiom, % 186.31/186.26 ! [V_k_2,V_Pa_2,V_d_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 186.31/186.26 => ( ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.26 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 186.31/186.26 => ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.26 => 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)))) ) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__number__of__lemma,axiom, % 186.31/186.26 ! [V_v,T_a] : % 186.31/186.26 ( class_Int_Onumber__ring(T_a) % 186.31/186.26 => ( ( 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))) % 186.31/186.26 => 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) ) % 186.31/186.26 & ( ~ 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))) % 186.31/186.26 => 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) ) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_negative__zle,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_negative__zless,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__eq__iff,axiom, % 186.31/186.26 ! [V_n_2,V_m_2,T_b] : % 186.31/186.26 ( class_Nat_Osemiring__char__0(T_b) % 186.31/186.26 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) % 186.31/186.26 <=> V_m_2 = V_n_2 ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiv__zero,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiv__zminus__zminus,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiv__zminus2,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_div__0,axiom, % 186.31/186.26 ! [V_a,T_a] : % 186.31/186.26 ( class_Divides_Osemiring__div(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_div__by__0,axiom, % 186.31/186.26 ! [V_a,T_a] : % 186.31/186.26 ( class_Divides_Osemiring__div(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_div__by__1,axiom, % 186.31/186.26 ! [V_a,T_a] : % 186.31/186.26 ( class_Divides_Osemiring__div(T_a) % 186.31/186.26 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 186.31/186.26 ! [V_A_2,V_x_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 186.31/186.26 <=> 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 186.31/186.26 ! [V_B_2,V_A_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.26 <=> 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 186.31/186.26 ! [V_y,V_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 186.31/186.26 ! [V_a_2,V_b_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 186.31/186.26 ! [V_a_2,V_b_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.26 => ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_div__neg__pos__less0,axiom, % 186.31/186.26 ! [V_b,V_a] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zdiv__self,axiom, % 186.31/186.26 ! [V_a] : % 186.31/186.26 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.26 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__0,axiom, % 186.31/186.26 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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__eq__0__conv,axiom, % 186.31/186.26 ! [V_n_2] : % 186.31/186.26 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.26 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 186.31/186.26 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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zero__zle__int,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 186.31/186.26 ! [V_Pa_2] : % 186.31/186.26 ( ? [B_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.26 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.26 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 186.31/186.26 ! [V_Pa_2] : % 186.31/186.26 ( ! [B_x] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.26 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.26 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__less__0__conv,axiom, % 186.31/186.26 ! [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))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zless__int,axiom, % 186.31/186.26 ! [V_n_2,V_m_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 186.31/186.26 ! [V_y_2,V_x_2] : % 186.31/186.26 ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__int,axiom, % 186.31/186.26 ! [V_n_2,V_m_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 186.31/186.26 ! [V_y_2,V_x_2] : % 186.31/186.26 ( 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))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__int,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zadd__int__left,axiom, % 186.31/186.26 ! [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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zle__iff__zadd,axiom, % 186.31/186.26 ! [V_z_2,V_w_2] : % 186.31/186.26 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 186.31/186.26 <=> ? [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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zero__le__imp__of__nat,axiom, % 186.31/186.26 ! [V_m,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__0__le__iff,axiom, % 186.31/186.26 ! [V_n,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_negative__eq__positive,axiom, % 186.31/186.26 ! [V_m_2,V_n_2] : % 186.31/186.26 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) % 186.31/186.26 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.26 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__less__0__iff,axiom, % 186.31/186.26 ! [V_m,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ~ 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))) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_not__int__zless__negative,axiom, % 186.31/186.26 ! [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)))) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__mult,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_zmult__int,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 186.31/186.26 ! [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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__0,axiom, % 186.31/186.26 ! [T_a] : % 186.31/186.26 ( class_Rings_Osemiring__1(T_a) % 186.31/186.26 => 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) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__less__imp__less,axiom, % 186.31/186.26 ! [V_n,V_m,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( 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))) % 186.31/186.26 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_less__imp__of__nat__less,axiom, % 186.31/186.26 ! [V_n,V_m,T_a] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.26 => 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))) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__less__iff,axiom, % 186.31/186.26 ! [V_n_2,V_m_2,T_b] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_int__1,axiom, % 186.31/186.26 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) ). % 186.31/186.26 % 186.31/186.26 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 186.31/186.26 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)) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__le__iff,axiom, % 186.31/186.26 ! [V_n_2,V_m_2,T_b] : % 186.31/186.26 ( class_Rings_Olinordered__semidom(T_b) % 186.31/186.26 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 186.31/186.26 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__add,axiom, % 186.31/186.26 ! [V_n,V_m,T_a] : % 186.31/186.26 ( class_Rings_Osemiring__1(T_a) % 186.31/186.26 => 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)) ) ). % 186.31/186.26 % 186.31/186.26 fof(fact_of__nat__mult,axiom, % 186.31/186.26 ! [V_n,V_m,T_a] : % 186.31/186.26 ( class_Rings_Osemiring__1(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__mult1__if,axiom, % 186.31/186.27 ! [V_b,V_a,V_c,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__self2__is__id,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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 ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__self1__is__id,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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 ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__mult2,axiom, % 186.31/186.27 ! [V_b,V_a,V_c,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__mult1,axiom, % 186.31/186.27 ! [V_b,V_a,V_c,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__self,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__1,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Rings_Osemiring__1(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Ints__of__nat,axiom, % 186.31/186.27 ! [V_n_2,T_b] : % 186.31/186.27 ( class_Rings_Oring__1(T_b) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__power,axiom, % 186.31/186.27 ! [V_n,V_m,T_a] : % 186.31/186.27 ( class_Rings_Osemiring__1(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__power,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zpower__int,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 186.31/186.27 ! [V_A_2] : % 186.31/186.27 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 186.31/186.27 <=> 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 186.31/186.27 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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__eq__0__iff,axiom, % 186.31/186.27 ! [V_k_2,V_i_2] : % 186.31/186.27 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 186.31/186.27 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 186.31/186.27 ! [V_a_2,V_b_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 186.31/186.27 ! [V_i_2,V_k_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 186.31/186.27 ! [V_b_2,V_a_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__mono2,axiom, % 186.31/186.27 ! [V_b,V_b_H,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__nonneg__neg__le0,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__pos__pos__trivial,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 186.31/186.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 186.31/186.27 ! [V_a_2,V_b_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__nonpos__pos__le0,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__mono2__neg,axiom, % 186.31/186.27 ! [V_b,V_b_H,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__neg__neg__trivial,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 186.31/186.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__mono1,axiom, % 186.31/186.27 ! [V_b,V_a_H,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__mono1__neg,axiom, % 186.31/186.27 ! [V_b,V_a_H,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__div__less__self,axiom, % 186.31/186.27 ! [V_k,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zmult2__eq,axiom, % 186.31/186.27 ! [V_b,V_a,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__le__0__conv,axiom, % 186.31/186.27 ! [V_n_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__Suc0__eq__1,axiom, % 186.31/186.27 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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zless__iff__Suc__zadd,axiom, % 186.31/186.27 ! [V_z_2,V_w_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 186.31/186.27 <=> ? [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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__zle__neg,axiom, % 186.31/186.27 ! [V_m_2,V_n_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))) % 186.31/186.27 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__Suc,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_negative__zle__0,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiff__int,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__Suc,axiom, % 186.31/186.27 ! [V_m,T_a] : % 186.31/186.27 ( class_Rings_Osemiring__1(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__diff,axiom, % 186.31/186.27 ! [V_m,V_n,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__self2,axiom, % 186.31/186.27 ! [V_c,V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__self1,axiom, % 186.31/186.27 ! [V_c,V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__add__self1,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__add__self2,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__less__int__conv,axiom, % 186.31/186.27 ! [V_n_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult__zless__mono2__lemma,axiom, % 186.31/186.27 ! [V_k,V_j,V_i] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__zle__0__negative,axiom, % 186.31/186.27 ! [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))))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_negative__zless__0,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__0__less__iff,axiom, % 186.31/186.27 ! [V_n_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__semidom(T_b) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_divmod__int__rel__div__eq,axiom, % 186.31/186.27 ! [V_r_1,V_y,V_b_1,V_a_1] : % 186.31/186.27 ( 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) % 186.31/186.27 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 186.31/186.27 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__zdiv,axiom, % 186.31/186.27 ! [V_k_2,V_n_2,V_Pa_2] : % 186.31/186.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 186.31/186.27 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 186.31/186.27 => ! [B_i] : % 186.31/186.27 ( ? [B_j] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 186.31/186.27 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ! [B_i] : % 186.31/186.27 ( ? [B_j] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiff__int__split,axiom, % 186.31/186.27 ! [V_y_2,V_x_2,V_Pa_2] : % 186.31/186.27 ( 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)))) % 186.31/186.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 186.31/186.27 => 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)))) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_tsub__eq,axiom, % 186.31/186.27 ! [V_x,V_y] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 186.31/186.27 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_z3div__def,axiom, % 186.31/186.27 ! [V_k,V_l] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 186.31/186.27 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_setsum__bounded,axiom, % 186.31/186.27 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 186.31/186.27 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 186.31/186.27 & class_Rings_Osemiring__1(T_c) ) % 186.31/186.27 => ( ! [B_i] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__pos__neg__trivial,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.27 => ( 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))) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__neg__lemma,axiom, % 186.31/186.27 ! [V_n_2,V_Pa_2,V_k_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 186.31/186.27 <=> ! [B_i,B_j] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 186.31/186.27 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__pos__lemma,axiom, % 186.31/186.27 ! [V_n_2,V_Pa_2,V_k_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 186.31/186.27 <=> ! [B_i,B_j] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 186.31/186.27 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 186.31/186.27 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__number__of__eq,axiom, % 186.31/186.27 ! [V_v,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( V_A_2 = V_B_2 % 186.31/186.27 <=> 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 186.31/186.27 ! [V_y_2,V_x_2] : % 186.31/186.27 ( 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) % 186.31/186.27 <=> V_x_2 = V_y_2 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.27 <=> 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__int__eq,axiom, % 186.31/186.27 ! [V_n_2,V_m_2] : % 186.31/186.27 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) % 186.31/186.27 <=> V_m_2 = V_n_2 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__neg__int,axiom, % 186.31/186.27 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__0,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__by__0,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__self,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__number__of__Min,axiom, % 186.31/186.27 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__minus1__right,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mod__trivial,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__add__self2,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__add__self1,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__add__right__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__add__left__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__add__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__simps_I2_J,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__simps_I1_J,axiom, % 186.31/186.27 ! [V_b,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__add__cong,axiom, % 186.31/186.27 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 186.31/186.27 => 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__right__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__left__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__mult1,axiom, % 186.31/186.27 ! [V_b,V_a,V_c,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__mult2,axiom, % 186.31/186.27 ! [V_b,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__simps_I4_J,axiom, % 186.31/186.27 ! [V_b,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__cong,axiom, % 186.31/186.27 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 186.31/186.27 => 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__diff__cong,axiom, % 186.31/186.27 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Oring__div(T_a) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 186.31/186.27 => 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__diff__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Oring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__diff__left__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Oring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__diff__right__eq,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Oring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__minus__cong,axiom, % 186.31/186.27 ! [V_a_H,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Oring__div(T_a) % 186.31/186.27 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__minus__eq,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Oring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__le__dividend,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__le__mono,axiom, % 186.31/186.27 ! [V_k,V_n,V_m] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult2__eq,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__self,axiom, % 186.31/186.27 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zero,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__int,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I24_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I7_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zmult1__eq,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__simps_I3_J,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiff__zmod__right,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiff__zmod__left,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zminus2,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zminus__zminus,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zminus__zmod,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zpower__zmod,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__int__code_I6_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__neg__0,axiom, % 186.31/186.27 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__neg__1,axiom, % 186.31/186.27 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__self1__is__0,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__self2__is__0,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__self2,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__self1,axiom, % 186.31/186.27 ! [V_b,V_c,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__by__1,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__div__trivial,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__1,axiom, % 186.31/186.27 ! [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 ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__less,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__mult__div__cancel__disj,axiom, % 186.31/186.27 ! [V_n,V_m,V_k] : % 186.31/186.27 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__le__nonneg__dividend,axiom, % 186.31/186.27 ! [V_k,V_m] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__mod__bound,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_pos__mod__bound,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__eq__0__iff,axiom, % 186.31/186.27 ! [V_d_2,V_m_2] : % 186.31/186.27 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_bin__less__0__simps_I2_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zminus2__not__zero,axiom, % 186.31/186.27 ! [V_l,V_k] : % 186.31/186.27 ( 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) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zminus1__not__zero,axiom, % 186.31/186.27 ! [V_l,V_k] : % 186.31/186.27 ( 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) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_DIVISION__BY__ZERO,axiom, % 186.31/186.27 ! [V_a] : % 186.31/186.27 ( 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) % 186.31/186.27 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zdiv__trivial,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zadd1__eq,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Int_OMin__def,axiom, % 186.31/186.27 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mult__Min,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__minus1,axiom, % 186.31/186.27 ! [V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__neg__eq__ge__0,axiom, % 186.31/186.27 ! [V_x_2] : % 186.31/186.27 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__def,axiom, % 186.31/186.27 ! [V_Z_2] : % 186.31/186.27 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__zminus__int,axiom, % 186.31/186.27 ! [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))))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mod__equality,axiom, % 186.31/186.27 ! [V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mod__equality2,axiom, % 186.31/186.27 ! [V_c,V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__div__equality,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__div__equality2,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Divides_Osemiring__div(T_a) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__le__mono2,axiom, % 186.31/186.27 ! [V_k,V_n,V_m] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__mult__div__cancel1,axiom, % 186.31/186.27 ! [V_n,V_m,V_k] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__self1__is__m,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult__self__is__m,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__less__dividend,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mult__minus1__right,axiom, % 186.31/186.27 ! [V_z,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mult__minus1,axiom, % 186.31/186.27 ! [V_z,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__neg__neg__trivial,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__mod__conj,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ( 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))) % 186.31/186.27 & 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__mod__sign,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__pos__pos__trivial,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_pos__mod__conj,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => ( 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))) % 186.31/186.27 & 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_pos__mod__sign,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_number__of__Min,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_arith__simps_I31_J,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_divide__minus1,axiom, % 186.31/186.27 ! [V_x,T_a] : % 186.31/186.27 ( ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.27 & class_Int_Onumber__ring(T_a) ) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zminus2__eq__if,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zminus1__eq__if,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zdiv__equality,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zmult1__eq,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zmod__equality,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zmod__equality2,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 186.31/186.27 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 186.31/186.27 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult__eq__1__iff,axiom, % 186.31/186.27 ! [V_n_2,V_m_2] : % 186.31/186.27 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 186.31/186.27 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 186.31/186.27 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 186.31/186.27 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 186.31/186.27 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult__div__cancel,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zdiv__equality_H,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__minus1__right,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__imp__number__of__eq__0,axiom, % 186.31/186.27 ! [V_v] : % 186.31/186.27 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__nat__number__of,axiom, % 186.31/186.27 ! [V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__geq,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__if,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => 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)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__div,axiom, % 186.31/186.27 ! [V_k_2,V_n_2,V_Pa_2] : % 186.31/186.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 186.31/186.27 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 186.31/186.27 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 => ! [B_i,B_j] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 186.31/186.27 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__pos__neg__trivial,axiom, % 186.31/186.27 ! [V_b,V_a] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.27 => ( 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))) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_minus1__divide,axiom, % 186.31/186.27 ! [V_x,T_a] : % 186.31/186.27 ( ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.27 & class_Int_Onumber__ring(T_a) ) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__eq__minus1,axiom, % 186.31/186.27 ! [V_b] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_le__div__geq,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__div__lemma,axiom, % 186.31/186.27 ! [V_m_2,V_q_2,V_n_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 186.31/186.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) ) % 186.31/186.27 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__div_H,axiom, % 186.31/186.27 ! [V_n_2,V_m_2,V_Pa_2] : % 186.31/186.27 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 186.31/186.27 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 186.31/186.27 | ? [B_q] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q)))) % 186.31/186.27 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__nat__number__of,axiom, % 186.31/186.27 ! [V_v_H_2,V_v_2] : % 186.31/186.27 ( 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) % 186.31/186.27 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 186.31/186.27 => 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))) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 186.31/186.27 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 186.31/186.27 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 186.31/186.27 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__number__of__add__left,axiom, % 186.31/186.27 ! [V_k,V_v_H,V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 186.31/186.27 => 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) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__zmod,axiom, % 186.31/186.27 ! [V_k_2,V_n_2,V_Pa_2] : % 186.31/186.27 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 186.31/186.27 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 186.31/186.27 => ! [B_i,B_j] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 186.31/186.27 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ! [B_i,B_j] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult2__lemma__aux3,axiom, % 186.31/186.27 ! [V_q,V_b,V_r,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult2__lemma__aux4,axiom, % 186.31/186.27 ! [V_q,V_b,V_r,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult2__lemma__aux1,axiom, % 186.31/186.27 ! [V_q,V_r,V_b,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmult2__lemma__aux2,axiom, % 186.31/186.27 ! [V_q,V_r,V_b,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_divmod__int__rel__mod__eq,axiom, % 186.31/186.27 ! [V_y,V_q_1,V_b_1,V_a_1] : % 186.31/186.27 ( 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) % 186.31/186.27 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 186.31/186.27 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__zmult2__eq,axiom, % 186.31/186.27 ! [V_b,V_a,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zminus2__eq__if,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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)) ) % 186.31/186.27 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zdiv__zminus1__eq__if,axiom, % 186.31/186.27 ! [V_a,V_b] : % 186.31/186.27 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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)) ) % 186.31/186.27 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.27 => 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)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_z3mod__def,axiom, % 186.31/186.27 ! [V_k,V_l] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 186.31/186.27 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Suc__nat__number__of__add,axiom, % 186.31/186.27 ! [V_n,V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Suc__nat__number__of,axiom, % 186.31/186.27 ! [V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_image__atLeastZeroLessThan__int,axiom, % 186.31/186.27 ! [V_u_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_negD,axiom, % 186.31/186.27 ! [V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => ? [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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__less,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__add1__eq,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__less__eq__dividend,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__distrib,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__distrib2,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__int,axiom, % 186.31/186.27 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__mod__distrib,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__0,axiom, % 186.31/186.27 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 186.31/186.27 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__Suc,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.27 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__1,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__less__divisor,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__nat__nat__iff,axiom, % 186.31/186.27 ! [V_z_H_2,V_z_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 186.31/186.27 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 186.31/186.27 <=> V_z_2 = V_z_H_2 ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_ex__nat,axiom, % 186.31/186.27 ! [V_Pa_2] : % 186.31/186.27 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.27 <=> ? [B_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.27 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_all__nat,axiom, % 186.31/186.27 ! [V_Pa_2] : % 186.31/186.27 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.27 <=> ! [B_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 186.31/186.27 ! [V_y_2,V_x_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 186.31/186.27 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 186.31/186.27 <=> V_x_2 = V_y_2 ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__eq__0__iff,axiom, % 186.31/186.27 ! [V_d_2,V_m_2] : % 186.31/186.27 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__geq,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__if,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__self3,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult2__eq,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mult1__eq,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_le__mod__geq,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__number__of__def,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__number__of,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__mod__equality_H,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mult__div__cancel,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Omod__div__equality_H,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 186.31/186.27 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zmod__int,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_neg__nat,axiom, % 186.31/186.27 ! [V_z] : % 186.31/186.27 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 186.31/186.27 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__neg__nat,axiom, % 186.31/186.27 ! [V_z] : % 186.31/186.27 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 186.31/186.27 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__set__return__embed,axiom, % 186.31/186.27 ! [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 ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__nat__number__of,axiom, % 186.31/186.27 ! [V_v_H,V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 186.31/186.27 => 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))) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 186.31/186.27 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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__le__0,axiom, % 186.31/186.27 ! [V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__0__iff,axiom, % 186.31/186.27 ! [V_i_2] : % 186.31/186.27 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__mono__iff,axiom, % 186.31/186.27 ! [V_w_2,V_z_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zless__nat__conj,axiom, % 186.31/186.27 ! [V_z_2,V_w_2] : % 186.31/186.27 ( 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))) % 186.31/186.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__le__divisor,axiom, % 186.31/186.27 ! [V_m,V_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 186.31/186.27 ! [V_y_2,V_x_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__1,axiom, % 186.31/186.27 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__mult__self4,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__nat__eq,axiom, % 186.31/186.27 ! [V_z] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__eq__iff,axiom, % 186.31/186.27 ! [V_z_2,V_m_2] : % 186.31/186.27 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 186.31/186.27 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__0__le,axiom, % 186.31/186.27 ! [V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zless__nat__eq__int__zless,axiom, % 186.31/186.27 ! [V_z_2,V_m_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 186.31/186.27 <=> 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__div__distrib,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__zminus__int,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 186.31/186.27 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_one__mod__nat__number__of,axiom, % 186.31/186.27 ! [V_v_H] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 186.31/186.27 => 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)) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_succ__def,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_diff__bin__simps_I2_J,axiom, % 186.31/186.27 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 186.31/186.27 % 186.31/186.27 fof(fact_card__atLeastZeroLessThan__int,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_card__atLeastLessThan__int,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__less__nat__eq,axiom, % 186.31/186.27 ! [V_z_2] : % 186.31/186.27 ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__less__eq__zless,axiom, % 186.31/186.27 ! [V_z_2,V_w_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 186.31/186.27 ! [V_y_2,V_x_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__eq__iff,axiom, % 186.31/186.27 ! [V_m_2,V_w_2] : % 186.31/186.27 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 186.31/186.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__eq__iff2,axiom, % 186.31/186.27 ! [V_w_2,V_m_2] : % 186.31/186.27 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 186.31/186.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__le__eq__zle,axiom, % 186.31/186.27 ! [V_z_2,V_w_2] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__nat,axiom, % 186.31/186.27 ! [V_i_2,V_Pa_2] : % 186.31/186.27 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 186.31/186.27 <=> ( ! [B_n] : % 186.31/186.27 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_split__mod,axiom, % 186.31/186.27 ! [V_k_2,V_n_2,V_Pa_2] : % 186.31/186.27 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 186.31/186.27 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 186.31/186.27 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 => ! [B_i,B_j] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 186.31/186.27 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 186.31/186.27 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mod__lemma,axiom, % 186.31/186.27 ! [V_q,V_b,V_r,V_c] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__add__distrib,axiom, % 186.31/186.27 ! [V_z_H,V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__eq__iff__number__of,axiom, % 186.31/186.27 ! [V_v_2,V_m_2] : % 186.31/186.27 ( 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) % 186.31/186.27 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 186.31/186.27 & 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__mult__distrib,axiom, % 186.31/186.27 ! [V_z_H,V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__diff__distrib,axiom, % 186.31/186.27 ! [V_z,V_z_H] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Suc__times__mod__eq,axiom, % 186.31/186.27 ! [V_m,V_k] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_card__greaterThanAtMost__int,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 186.31/186.27 ! [V_n,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__power__eq,axiom, % 186.31/186.27 ! [V_n,V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 186.31/186.27 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_one__less__nat__eq,axiom, % 186.31/186.27 ! [V_z_2] : % 186.31/186.27 ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__less__iff,axiom, % 186.31/186.27 ! [V_m_2,V_w_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 186.31/186.27 <=> 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 186.31/186.27 ! [V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_number__of__succ,axiom, % 186.31/186.27 ! [V_k,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__mult__distrib__neg,axiom, % 186.31/186.27 ! [V_z_H,V_z] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_div__nat__number__of,axiom, % 186.31/186.27 ! [V_v_H,V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_card__atLeastAtMost__int,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_one__div__nat__number__of,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_card__greaterThanLessThan__int,axiom, % 186.31/186.27 ! [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)))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_power__nat__number__of__number__of,axiom, % 186.31/186.27 ! [V_w,V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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)) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_power__nat__number__of,axiom, % 186.31/186.27 ! [V_n,V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__aux__def,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__morphism__nat__int,axiom, % 186.31/186.27 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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 186.31/186.27 ! [V_n_2,V_m_2] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_m_2) % 186.31/186.27 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 186.31/186.27 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__of__nat,axiom, % 186.31/186.27 ! [V_k,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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)))) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => 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)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 186.31/186.27 ! [V_y_2,V_x_2] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x_2) % 186.31/186.27 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__eq__iff,axiom, % 186.31/186.27 ! [V_z_2,V_w_2,T_b] : % 186.31/186.27 ( class_Int_Oring__char__0(T_b) % 186.31/186.27 => ( 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) % 186.31/186.27 <=> V_w_2 = V_z_2 ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 186.31/186.27 ! [V_x_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_number__of__eq,axiom, % 186.31/186.27 ! [V_k,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_int__number__of__def,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__int__eq,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => ( V_A_2 = V_B_2 % 186.31/186.27 <=> 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 186.31/186.27 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x) % 186.31/186.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 186.31/186.27 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 186.31/186.27 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x) % 186.31/186.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x) % 186.31/186.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x) % 186.31/186.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 186.31/186.27 ! [V_n,V_x] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 186.31/186.27 ! [V_y,V_x] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x) % 186.31/186.27 => ( c_Nat__Transfer_Ois__nat(V_y) % 186.31/186.27 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 186.31/186.27 ! [V_A_2,V_x_2] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 186.31/186.27 <=> 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__eq__0__iff,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Int_Oring__char__0(T_b) % 186.31/186.27 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.27 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__0__eq__iff,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Int_Oring__char__0(T_b) % 186.31/186.27 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 186.31/186.27 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__0,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 186.31/186.27 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__le__iff,axiom, % 186.31/186.27 ! [V_z_2,V_w_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__less__iff,axiom, % 186.31/186.27 ! [V_z_2,V_w_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__add,axiom, % 186.31/186.27 ! [V_z,V_w,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__number__of__eq,axiom, % 186.31/186.27 ! [V_v,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__mult,axiom, % 186.31/186.27 ! [V_z,V_w,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__1,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__diff,axiom, % 186.31/186.27 ! [V_z,V_w,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__of__nat__eq,axiom, % 186.31/186.27 ! [V_n,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__minus,axiom, % 186.31/186.27 ! [V_z,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Ints__of__int,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Rings_Oring__1(T_b) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__power,axiom, % 186.31/186.27 ! [V_n,V_z,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__set__def,axiom, % 186.31/186.27 ! [V_S_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_S_2) % 186.31/186.27 <=> ! [B_x] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_is__nat__def,axiom, % 186.31/186.27 ! [V_x_2] : % 186.31/186.27 ( c_Nat__Transfer_Ois__nat(V_x_2) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 186.31/186.27 ! [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)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__m1,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 186.31/186.27 ! [V_y_2,V_x_2] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 186.31/186.27 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__nat__int__set__return__embed,axiom, % 186.31/186.27 ! [V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 186.31/186.27 ! [V_x_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__0__le__iff,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__le__0__iff,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__0__less__iff,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__int__less__0__iff,axiom, % 186.31/186.27 ! [V_z_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_of__nat__nat,axiom, % 186.31/186.27 ! [V_z,T_a] : % 186.31/186.27 ( class_Rings_Oring__1(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 186.31/186.27 => 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) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 186.31/186.27 ! [V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 186.31/186.27 <=> 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))) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 186.31/186.27 ! [V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.27 <=> 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 186.31/186.27 ! [V_B_2,V_A_2] : % 186.31/186.27 ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.27 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.27 <=> 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__less__imp__eq__int,axiom, % 186.31/186.27 ! [V_k] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 186.31/186.27 => ? [B_n] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 186.31/186.27 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_decr__lemma,axiom, % 186.31/186.27 ! [V_z,V_x,V_d] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_incr__lemma,axiom, % 186.31/186.27 ! [V_x,V_z,V_d] : % 186.31/186.27 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 186.31/186.27 => 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)))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__1__add__number__of,axiom, % 186.31/186.27 ! [V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__number__of__add__1,axiom, % 186.31/186.27 ! [V_v] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.27 => 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) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_Pls__def,axiom, % 186.31/186.27 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I19_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__ge__self,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__le__D1,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__add__abs,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__mult__self,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__mult,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__minus__commute,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__one,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__minus__cancel,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__idempotent,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__zero,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__eq__0,axiom, % 186.31/186.27 ! [V_a_2,T_b] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.27 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__int__eq,axiom, % 186.31/186.27 ! [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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__divide,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_power__abs,axiom, % 186.31/186.27 ! [V_n,V_a,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__of__nat,axiom, % 186.31/186.27 ! [V_n,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I2_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_add__Pls__right,axiom, % 186.31/186.27 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 186.31/186.27 % 186.31/186.27 fof(fact_add__Pls,axiom, % 186.31/186.27 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 186.31/186.27 % 186.31/186.27 fof(fact_mult__Pls,axiom, % 186.31/186.27 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 186.31/186.27 % 186.31/186.27 fof(fact_diff__bin__simps_I1_J,axiom, % 186.31/186.27 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 186.31/186.27 % 186.31/186.27 fof(fact_minus__Pls,axiom, % 186.31/186.27 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I37_J,axiom, % 186.31/186.27 c_Int_OPls != c_Int_OMin ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I40_J,axiom, % 186.31/186.27 c_Int_OMin != c_Int_OPls ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__int__code_I1_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__ge__zero,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__le__zero__iff,axiom, % 186.31/186.27 ! [V_a_2,T_b] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__of__nonneg,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__of__pos,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__less__abs__iff,axiom, % 186.31/186.27 ! [V_a_2,T_b] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.27 => ( 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))) % 186.31/186.27 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__not__less__zero,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ~ 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__triangle__ineq,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__mult__less,axiom, % 186.31/186.27 ! [V_d,V_b,V_c,V_a,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 186.31/186.27 => 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))) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__triangle__ineq3,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__triangle__ineq2,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__triangle__ineq2__sym,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__le__D2,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__leI,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__le__iff,axiom, % 186.31/186.27 ! [V_b_2,V_a_2,T_b] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.27 => ( 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)) % 186.31/186.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 186.31/186.27 & 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)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__ge__minus__self,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__less__iff,axiom, % 186.31/186.27 ! [V_b_2,V_a_2,T_b] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 186.31/186.27 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nonzero__abs__divide,axiom, % 186.31/186.27 ! [V_a,V_b,T_a] : % 186.31/186.27 ( class_Fields_Olinordered__field(T_a) % 186.31/186.27 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__power__minus,axiom, % 186.31/186.27 ! [V_n,V_a,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__zmult__eq__1,axiom, % 186.31/186.27 ! [V_n,V_m] : % 186.31/186.27 ( 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) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_number__of__Pls,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_semiring__norm_I112_J,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_add__numeral__0,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_add__numeral__0__right,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Int_Onumber__ring(T_a) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__sgn,axiom, % 186.31/186.27 ! [V_k,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_mult__sgn__abs,axiom, % 186.31/186.27 ! [V_x,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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 ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_bin__less__0__simps_I1_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_semiring__norm_I113_J,axiom, % 186.31/186.27 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__number__of__Pls,axiom, % 186.31/186.27 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__is__num__zero,axiom, % 186.31/186.27 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I23_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I20_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I3_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_rel__simps_I6_J,axiom, % 186.31/186.27 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__number__of__Pls__Min,axiom, % 186.31/186.27 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) ). % 186.31/186.27 % 186.31/186.27 fof(fact_not__neg__number__of__Pls,axiom, % 186.31/186.27 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__int__code_I5_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__int__code_I2_J,axiom, % 186.31/186.27 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 186.31/186.27 % 186.31/186.27 fof(fact_succ__Min,axiom, % 186.31/186.27 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__mult__pos,axiom, % 186.31/186.27 ! [V_y,V_x,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__eq__mult,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Rings_Oordered__ring__abs(T_a) % 186.31/186.27 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 186.31/186.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 186.31/186.27 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 186.31/186.27 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__triangle__ineq4,axiom, % 186.31/186.27 ! [V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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)))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__diff__triangle__ineq,axiom, % 186.31/186.27 ! [V_d,V_c,V_b,V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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))))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__of__nonpos,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__minus__le__zero,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__of__neg,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__if,axiom, % 186.31/186.27 ! [V_a,T_a] : % 186.31/186.27 ( class_Groups_Oabs__if(T_a) % 186.31/186.27 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__le__power__abs,axiom, % 186.31/186.27 ! [V_n,V_a,T_a] : % 186.31/186.27 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.27 => 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))) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__div__pos,axiom, % 186.31/186.27 ! [V_x,V_y,T_a] : % 186.31/186.27 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.27 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.27 => 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)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__minus__one,axiom, % 186.31/186.27 ! [T_a] : % 186.31/186.27 ( ( class_Int_Onumber__ring(T_a) % 186.31/186.27 & class_Rings_Olinordered__idom(T_a) ) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zabs__less__one__iff,axiom, % 186.31/186.27 ! [V_z_2] : % 186.31/186.27 ( 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))) % 186.31/186.27 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zabs__def,axiom, % 186.31/186.27 ! [V_i] : % 186.31/186.27 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 186.31/186.27 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.27 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_nat__abs__mult__distrib,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_zero__le__zpower__abs,axiom, % 186.31/186.27 ! [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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_divide__Numeral0,axiom, % 186.31/186.27 ! [V_x,T_a] : % 186.31/186.27 ( ( class_Fields_Ofield__inverse__zero(T_a) % 186.31/186.27 & class_Int_Onumber__ring(T_a) ) % 186.31/186.27 => 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) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__number__of__0,axiom, % 186.31/186.27 ! [V_v_2] : % 186.31/186.27 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_eq__0__number__of,axiom, % 186.31/186.27 ! [V_v_2] : % 186.31/186.27 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 186.31/186.27 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_number__of2,axiom, % 186.31/186.27 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))) ). % 186.31/186.27 % 186.31/186.27 fof(fact_less__nat__number__of,axiom, % 186.31/186.27 ! [V_v_H_2,V_v_2] : % 186.31/186.27 ( 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))) % 186.31/186.27 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 186.31/186.27 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_le__nat__number__of,axiom, % 186.31/186.27 ! [V_v_H_2,V_v_2] : % 186.31/186.27 ( 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))) % 186.31/186.27 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 186.31/186.27 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__number__of,axiom, % 186.31/186.27 ! [V_x,T_a] : % 186.31/186.27 ( ( class_Int_Onumber__ring(T_a) % 186.31/186.27 & class_Rings_Olinordered__idom(T_a) ) % 186.31/186.27 => ( ( 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))) % 186.31/186.27 => 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)) ) % 186.31/186.27 & ( ~ 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))) % 186.31/186.27 => 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) ) ) ) ). % 186.31/186.27 % 186.31/186.27 fof(fact_abs__power__minus__one,axiom, % 186.31/186.27 ! [V_n,T_a] : % 186.31/186.27 ( ( class_Int_Onumber__ring(T_a) % 186.31/186.27 & class_Rings_Olinordered__idom(T_a) ) % 186.31/186.27 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__less__zpower__abs__iff,axiom, % 186.31/186.28 ! [V_n_2,V_x_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2))) % 186.31/186.28 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.28 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__special_I1_J,axiom, % 186.31/186.28 ! [V_y_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__special_I3_J,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__special_I1_J,axiom, % 186.31/186.28 ! [V_y_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__special_I3_J,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__0__number__of,axiom, % 186.31/186.28 ! [V_v_2] : % 186.31/186.28 ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__nat__number__of,axiom, % 186.31/186.28 ! [V_v_H,V_v] : % 186.31/186.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 186.31/186.28 => 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)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__number__of__mult__left,axiom, % 186.31/186.28 ! [V_k,V_v_H,V_v] : % 186.31/186.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__nat__number__of,axiom, % 186.31/186.28 ! [V_v_H,V_v] : % 186.31/186.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__special_I3_J,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( class_Int_Onumber__ring(T_b) % 186.31/186.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.28 <=> 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)))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__special_I1_J,axiom, % 186.31/186.28 ! [V_y_2,T_b] : % 186.31/186.28 ( class_Int_Onumber__ring(T_b) % 186.31/186.28 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 186.31/186.28 <=> 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)))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__number__of__diff__1,axiom, % 186.31/186.28 ! [V_v] : % 186.31/186.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nats__number__of,axiom, % 186.31/186.28 ! [V_w_2,T_b] : % 186.31/186.28 ( class_Int_Onumber__ring(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 186.31/186.28 => 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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nitpick_Oint__lcm__def,axiom, % 186.31/186.28 ! [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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_succ__pred,axiom, % 186.31/186.28 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 186.31/186.28 % 186.31/186.28 fof(fact_iszero__def,axiom, % 186.31/186.28 ! [V_z_2,T_b] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_b) % 186.31/186.28 => ( c_Int_Oiszero(T_b,V_z_2) % 186.31/186.28 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_iszero__0,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_a) % 186.31/186.28 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_not__iszero__1,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_a) % 186.31/186.28 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__iff__pred__less,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pred__Pls,axiom, % 186.31/186.28 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 186.31/186.28 % 186.31/186.28 fof(fact_pred__def,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__Min__right,axiom, % 186.31/186.28 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__Min,axiom, % 186.31/186.28 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 186.31/186.28 % 186.31/186.28 fof(fact_iszero__Numeral0,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nats__0,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_b) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nats__add,axiom, % 186.31/186.28 ! [V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 186.31/186.28 => 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))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nats__mult,axiom, % 186.31/186.28 ! [V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 186.31/186.28 => 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))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nonzero__number__of__Min,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nats__1,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_b) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_of__nat__in__Nats,axiom, % 186.31/186.28 ! [V_n_2,T_b] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_b) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_number__of__pred,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_neg__number__of__pred__iff__0,axiom, % 186.31/186.28 ! [V_v_2] : % 186.31/186.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 186.31/186.28 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__number__of__eq,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Int_Onumber__ring(T_b) % 186.31/186.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 186.31/186.28 <=> 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)))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__diff__number__of,axiom, % 186.31/186.28 ! [V_m,V_v] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nitpick_Onat__lcm__def,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__special_I4_J,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( class_Int_Onumber__ring(T_b) % 186.31/186.28 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 186.31/186.28 <=> 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))))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__special_I2_J,axiom, % 186.31/186.28 ! [V_y_2,T_b] : % 186.31/186.28 ( class_Int_Onumber__ring(T_b) % 186.31/186.28 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 186.31/186.28 <=> 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)))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__special_I2_J,axiom, % 186.31/186.28 ! [V_v,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__special_I1_J,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Bit1__Min,axiom, % 186.31/186.28 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I43_J,axiom, % 186.31/186.28 ! [V_l_2] : % 186.31/186.28 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 186.31/186.28 <=> c_Int_OMin = V_l_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I47_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 186.31/186.28 <=> V_k_2 = c_Int_OMin ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I51_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 186.31/186.28 <=> V_k_2 = V_l_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__int__code_I16_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I17_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I34_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__eq__int__code_I16_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I39_J,axiom, % 186.31/186.28 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I46_J,axiom, % 186.31/186.28 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I16_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_bin__less__0__simps_I4_J,axiom, % 186.31/186.28 ! [V_w_2] : % 186.31/186.28 ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I22_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I12_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Bit1__def,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I26_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I30_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I13_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I9_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_neg__number__of__Bit1,axiom, % 186.31/186.28 ! [V_w_2] : % 186.31/186.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 186.31/186.28 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I4_J,axiom, % 186.31/186.28 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k2))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I10_J,axiom, % 186.31/186.28 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OPls)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__Bit1,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I8_J,axiom, % 186.31/186.28 ! [V_k2_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I12_J,axiom, % 186.31/186.28 ! [V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OMin)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OMin)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_iszero__number__of__Bit1,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_a) % 186.31/186.28 & class_Int_Oring__char__0(T_a) ) % 186.31/186.28 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_succ__Pls,axiom, % 186.31/186.28 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 186.31/186.28 % 186.31/186.28 fof(fact_number__of__Bit1,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__numeral__1,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__numeral__1__right,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_semiring__norm_I110_J,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_numeral__1__eq__1,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I29_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I5_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_divide__Numeral1,axiom, % 186.31/186.28 ! [V_x,T_a] : % 186.31/186.28 ( ( class_Fields_Ofield(T_a) % 186.31/186.28 & class_Int_Onumber__ring(T_a) ) % 186.31/186.28 => 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 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_divide__numeral__1,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( ( class_Fields_Ofield(T_a) % 186.31/186.28 & class_Int_Onumber__ring(T_a) ) % 186.31/186.28 => 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 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_one__is__num__one,axiom, % 186.31/186.28 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Numeral1__eq1__nat,axiom, % 186.31/186.28 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__numeral__1__eq__1,axiom, % 186.31/186.28 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I4_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__Min,axiom, % 186.31/186.28 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 186.31/186.28 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_not__iszero__Numeral1,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_numeral__1__eq__Suc__0,axiom, % 186.31/186.28 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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_numeral__3__eq__3,axiom, % 186.31/186.28 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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power3__eq__cube,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 186.31/186.28 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))))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc3__eq__add__3,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 186.31/186.28 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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 186.31/186.28 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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__special_I2_J,axiom, % 186.31/186.28 ! [V_y_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__special_I4_J,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__special_I2_J,axiom, % 186.31/186.28 ! [V_y_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__special_I4_J,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Rings_Olinordered__idom(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__special_I3_J,axiom, % 186.31/186.28 ! [V_v,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__special_I2_J,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__diff__eq__diff__pred,axiom, % 186.31/186.28 ! [V_m,V_n] : % 186.31/186.28 ( 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)) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__gcd_Osimps,axiom, % 186.31/186.28 ! [V_x,V_y] : % 186.31/186.28 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.28 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 186.31/186.28 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__mod__eq__add3__mod,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mod__Suc__eq__mod__add3,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__div__eq__add3__div,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_div__Suc__eq__div__add3,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nitpick_Oint__gcd__def,axiom, % 186.31/186.28 ! [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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zmod__number__of__Bit1,axiom, % 186.31/186.28 ! [V_v,V_w] : % 186.31/186.28 ( ( 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))) % 186.31/186.28 => 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)) ) % 186.31/186.28 & ( ~ 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))) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_neg__zmod__mult__2,axiom, % 186.31/186.28 ! [V_b,V_a] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pos__zdiv__mult__2,axiom, % 186.31/186.28 ! [V_b,V_a] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I50_J,axiom, % 186.31/186.28 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I49_J,axiom, % 186.31/186.28 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I44_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 186.31/186.28 <=> V_k_2 = c_Int_OPls ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I38_J,axiom, % 186.31/186.28 ! [V_l_2] : % 186.31/186.28 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 186.31/186.28 <=> c_Int_OPls = V_l_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Bit0__Pls,axiom, % 186.31/186.28 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__eq__int__code_I13_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I31_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I14_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__int__code_I13_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__Bit0__Bit0,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Bit0__def,axiom, % 186.31/186.28 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I48_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 186.31/186.28 <=> V_k_2 = V_l_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I45_J,axiom, % 186.31/186.28 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I42_J,axiom, % 186.31/186.28 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__Bit0,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I7_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__Bit0,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I13_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_bin__less__0__simps_I3_J,axiom, % 186.31/186.28 ! [V_w_2] : % 186.31/186.28 ( 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))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I21_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I27_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I32_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__eq__int__code_I14_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I10_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I4_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__int__code_I15_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I16_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__Bit1__Bit0,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__Bit0__Bit1,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I3_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I10_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I9_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I28_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I8_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zdiv__number__of__Bit0,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_neg__number__of__Bit0,axiom, % 186.31/186.28 ! [V_w_2] : % 186.31/186.28 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 186.31/186.28 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pred__Bit0,axiom, % 186.31/186.28 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pred__Bit1,axiom, % 186.31/186.28 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I9_J,axiom, % 186.31/186.28 ! [V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OPls)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OPls)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I3_J,axiom, % 186.31/186.28 ! [V_k2_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I15_J,axiom, % 186.31/186.28 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OBit0(V_k2))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I14_J,axiom, % 186.31/186.28 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OBit1(V_k2))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pred__Min,axiom, % 186.31/186.28 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I11_J,axiom, % 186.31/186.28 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OMin)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_eq__int__code_I7_J,axiom, % 186.31/186.28 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k2))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_iszero__number__of__Bit0,axiom, % 186.31/186.28 ! [V_w_2,T_b] : % 186.31/186.28 ( ( class_Int_Onumber__ring(T_b) % 186.31/186.28 & class_Int_Oring__char__0(T_b) ) % 186.31/186.28 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 186.31/186.28 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_succ__Bit1,axiom, % 186.31/186.28 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_succ__Bit0,axiom, % 186.31/186.28 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 186.31/186.28 % 186.31/186.28 fof(fact_number__of__Bit0,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I15_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__int__code_I14_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I33_J,axiom, % 186.31/186.28 ! [V_l_2,V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__eq__int__code_I15_J,axiom, % 186.31/186.28 ! [V_k2_2,V_k1_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_card__UNIV__bool,axiom, % 186.31/186.28 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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__Bit1,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I25_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_rel__simps_I11_J,axiom, % 186.31/186.28 ! [V_k_2] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I5_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I6_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_diff__bin__simps_I8_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__Bit1__Bit1,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_double__number__of__Bit0,axiom, % 186.31/186.28 ! [V_w,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_number__of1,axiom, % 186.31/186.28 ! [V_n] : % 186.31/186.28 ( 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))) % 186.31/186.28 => ( 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)))) % 186.31/186.28 & 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)))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 186.31/186.28 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__2__right,axiom, % 186.31/186.28 ! [V_z,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mult__2,axiom, % 186.31/186.28 ! [V_z,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_one__add__one__is__two,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__power2,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__eq__power2,axiom, % 186.31/186.28 ! [V_a_2,T_b] : % 186.31/186.28 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 186.31/186.28 => ( 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) % 186.31/186.28 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_semiring__norm_I115_J,axiom, % 186.31/186.28 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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_numeral__2__eq__2,axiom, % 186.31/186.28 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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 186.31/186.28 ! [V_x,T_a] : % 186.31/186.28 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__eq__square,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 186.31/186.28 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))))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__2__eq__Suc_H,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__2__eq__Suc,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_one__power2,axiom, % 186.31/186.28 ! [T_a] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__minus,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Rings_Oring__1(T_a) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__mult__2__right,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__mult__2,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__even__eq,axiom, % 186.31/186.28 ! [V_n,V_a,T_a] : % 186.31/186.28 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 186.31/186.28 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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 186.31/186.28 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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__abs,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_abs__power2,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__1__add__1,axiom, % 186.31/186.28 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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mod2__Suc__Suc,axiom, % 186.31/186.28 ! [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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_div2__Suc__Suc,axiom, % 186.31/186.28 ! [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))))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zmod__number__of__Bit0,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_add__self__div__2,axiom, % 186.31/186.28 ! [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 ). % 186.31/186.28 % 186.31/186.28 fof(fact_half__gt__zero,axiom, % 186.31/186.28 ! [V_r,T_a] : % 186.31/186.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 186.31/186.28 & class_Int_Onumber__ring(T_a) ) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 186.31/186.28 => 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)))))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_half__gt__zero__iff,axiom, % 186.31/186.28 ! [V_r_2,T_b] : % 186.31/186.28 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 186.31/186.28 & class_Int_Onumber__ring(T_b) ) % 186.31/186.28 => ( 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)))))) % 186.31/186.28 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__le__power2,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__le__imp__le,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.28 => ( 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)))))) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__eq__imp__eq,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.28 => ( 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)))) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.28 => V_x = V_y ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__less__0,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => ~ 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__less__power2,axiom, % 186.31/186.28 ! [V_a_2,T_b] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.28 => ( 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)))))) % 186.31/186.28 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sum__power2__eq__zero__iff,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.28 => ( 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) % 186.31/186.28 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.28 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__eq__square__number__of,axiom, % 186.31/186.28 ! [V_w,T_b] : % 186.31/186.28 ( ( class_Groups_Omonoid__mult(T_b) % 186.31/186.28 & class_Int_Onumber(T_b) ) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__2__cases,axiom, % 186.31/186.28 ! [V_n] : % 186.31/186.28 ( 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))))) % 186.31/186.28 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.28 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__2,axiom, % 186.31/186.28 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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__eq__1__iff,axiom, % 186.31/186.28 ! [V_a_2,T_b] : % 186.31/186.28 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 186.31/186.28 => ( 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) % 186.31/186.28 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 186.31/186.28 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 186.31/186.28 ! [V_n,V_x,T_a] : % 186.31/186.28 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__minus__even,axiom, % 186.31/186.28 ! [V_n,V_a,T_a] : % 186.31/186.28 ( class_Rings_Oring__1(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__less__imp__less,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__semidom(T_a) % 186.31/186.28 => ( 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)))))) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sum__power2__le__zero__iff,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.28 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sum__power2__ge__zero,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => 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))))))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sum__power2__gt__zero__iff,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_b) % 186.31/186.28 => ( 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))))))) % 186.31/186.28 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.31/186.28 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_not__sum__power2__lt__zero,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => ~ 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__sum,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__le__even__power_H,axiom, % 186.31/186.28 ! [V_n,V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__odd__eq,axiom, % 186.31/186.28 ! [V_n,V_a,T_a] : % 186.31/186.28 ( class_Groups_Omonoid__mult(T_a) % 186.31/186.28 => 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))))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 186.31/186.28 ! [V_n,V_x,T_a] : % 186.31/186.28 ( class_Rings_Ocomm__semiring__1(T_a) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__minus1__even,axiom, % 186.31/186.28 ! [V_n,T_a] : % 186.31/186.28 ( class_Rings_Oring__1(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zdiv__number__of__Bit1,axiom, % 186.31/186.28 ! [V_v,V_w] : % 186.31/186.28 ( ( 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))) % 186.31/186.28 => 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)) ) % 186.31/186.28 & ( ~ 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))) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mod2__gr__0,axiom, % 186.31/186.28 ! [V_m_2] : % 186.31/186.28 ( 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)))))) % 186.31/186.28 <=> 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_div__2__gt__zero,axiom, % 186.31/186.28 ! [V_n] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 186.31/186.28 => 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)))))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power2__diff,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_odd__0__le__power__imp__0__le,axiom, % 186.31/186.28 ! [V_n,V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),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))))) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_odd__power__less__zero,axiom, % 186.31/186.28 ! [V_n,V_a,T_a] : % 186.31/186.28 ( class_Rings_Olinordered__idom(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__minus1__odd,axiom, % 186.31/186.28 ! [V_n,T_a] : % 186.31/186.28 ( class_Rings_Oring__1(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__m1__even,axiom, % 186.31/186.28 ! [V_n,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_power__m1__odd,axiom, % 186.31/186.28 ! [V_n,T_a] : % 186.31/186.28 ( class_Int_Onumber__ring(T_a) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__n__div__2__gt__zero,axiom, % 186.31/186.28 ! [V_n] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.28 => 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)))))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_of__nat__double,axiom, % 186.31/186.28 ! [V_x,T_a] : % 186.31/186.28 ( class_Rings_Osemiring__1(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 186.31/186.28 => 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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pos__zmod__mult__2,axiom, % 186.31/186.28 ! [V_b,V_a] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_neg__zdiv__mult__2,axiom, % 186.31/186.28 ! [V_b,V_a] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_int__of__code,axiom, % 186.31/186.28 ! [V_k] : % 186.31/186.28 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.28 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.28 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.28 => ( ( 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) % 186.31/186.28 => 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)))))) ) % 186.31/186.28 & ( 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) % 186.31/186.28 => 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)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_one__code__numeral__code,axiom, % 186.31/186.28 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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_int__val__lemma,axiom, % 186.31/186.28 ! [V_k_2,V_f_2,V_n_2] : % 186.31/186.28 ( ! [B_i] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 186.31/186.28 => 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))) ) % 186.31/186.28 => ( 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)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 186.31/186.28 => ? [B_i] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 186.31/186.28 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat0__intermed__int__val,axiom, % 186.31/186.28 ! [V_k_2,V_f_2,V_n_2] : % 186.31/186.28 ( ! [B_i] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 186.31/186.28 => 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))) ) % 186.31/186.28 => ( 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)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 186.31/186.28 => ? [B_i] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 186.31/186.28 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral__zero__minus__one,axiom, % 186.31/186.28 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 186.31/186.28 % 186.31/186.28 fof(fact_zero__code__numeral__code,axiom, % 186.31/186.28 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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__of__aux__code,axiom, % 186.31/186.28 ! [V_n,V_i] : % 186.31/186.28 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.28 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 186.31/186.28 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.28 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osize_I1_J,axiom, % 186.31/186.28 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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osize_I3_J,axiom, % 186.31/186.28 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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osimps_I4_J,axiom, % 186.31/186.28 ! [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 ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osize_I4_J,axiom, % 186.31/186.28 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osize_I2_J,axiom, % 186.31/186.28 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__mod__eq__lemma,axiom, % 186.31/186.28 ! [V_y,V_n,V_x] : % 186.31/186.28 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 186.31/186.28 => ? [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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mod__induct__0,axiom, % 186.31/186.28 ! [V_i_2,V_Pa_2,V_p_2] : % 186.31/186.28 ( ! [B_i] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 186.31/186.28 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 186.31/186.28 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 186.31/186.28 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 186.31/186.28 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Oinject,axiom, % 186.31/186.28 ! [V_code__numeral_H_2,V_code__numeral_2] : % 186.31/186.28 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 186.31/186.28 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osimps_I3_J,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osimps_I2_J,axiom, % 186.31/186.28 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 186.31/186.28 % 186.31/186.28 fof(fact_code__numeral_Osimps_I5_J,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Suc__code__numeral__minus__one,axiom, % 186.31/186.28 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__intermed__int__val,axiom, % 186.31/186.28 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 186.31/186.28 ( ! [B_i] : % 186.31/186.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 186.31/186.28 => 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))) ) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 186.31/186.28 => ? [B_i] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 186.31/186.28 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_log_Osimps,axiom, % 186.31/186.28 ! [V_i,V_b] : % 186.31/186.28 ( ( ( 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))) % 186.31/186.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 186.31/186.28 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 186.31/186.28 & ( ~ ( 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))) % 186.31/186.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 186.31/186.28 => 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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_mod__div__decomp,axiom, % 186.31/186.28 ! [V_b,V_a,T_a] : % 186.31/186.28 ( class_Divides_Osemiring__div(T_a) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setprod__pos,axiom, % 186.31/186.28 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.28 ( class_Rings_Olinordered__semidom(T_c) % 186.31/186.28 => ( ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 186.31/186.28 => 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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__shift__def,axiom, % 186.31/186.28 ! [V_r,V_l,V_k] : % 186.31/186.28 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_inc__shift__def,axiom, % 186.31/186.28 ! [V_k,V_v] : % 186.31/186.28 ( ( V_v = V_k % 186.31/186.28 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 186.31/186.28 & ( V_v != V_k % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setprod__nonneg,axiom, % 186.31/186.28 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.28 ( class_Rings_Olinordered__semidom(T_c) % 186.31/186.28 => ( ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 186.31/186.28 => 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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__induct,axiom, % 186.31/186.28 ! [V_Pa_2,V_F_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.31/186.28 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.28 => ( ! [B_x,B_F] : % 186.31/186.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 186.31/186.28 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 186.31/186.28 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 186.31/186.28 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_fold1__antimono,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => 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))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_field__le__epsilon,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Fields_Olinordered__field(T_a) % 186.31/186.28 => ( ! [B_e] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 186.31/186.28 => 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))) ) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_subtract__code__numeral__def,axiom, % 186.31/186.28 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__code__numeral__code,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__0R,axiom, % 186.31/186.28 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__0L,axiom, % 186.31/186.28 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__Suc__Suc,axiom, % 186.31/186.28 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oidem,axiom, % 186.31/186.28 ! [V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf_Oidem,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf_Ocommute,axiom, % 186.31/186.28 ! [V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__commute,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 186.31/186.28 ! [V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__left__idem,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 186.31/186.28 ! [V_c,V_a,V_b,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__left__commute,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf_Oassoc,axiom, % 186.31/186.28 ! [V_c,V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__assoc,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_inf__min,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( ( class_Lattices_Osemilattice__inf(T_b) % 186.31/186.28 & class_Orderings_Olinorder(T_b) ) % 186.31/186.28 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__diff,axiom, % 186.31/186.28 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__diff__distrib__left,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Groups_Oordered__ab__group__add(T_a) % 186.31/186.28 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__infE,axiom, % 186.31/186.28 ! [V_b,V_a,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) % 186.31/186.28 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.31/186.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__mono,axiom, % 186.31/186.28 ! [V_d,V_b,V_c,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__greatest,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__infI,axiom, % 186.31/186.28 ! [V_b,V_a,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__absorb2,axiom, % 186.31/186.28 ! [V_x,V_y,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__absorb1,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__infI2,axiom, % 186.31/186.28 ! [V_a,V_x,V_b,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__infI1,axiom, % 186.31/186.28 ! [V_b,V_x,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__inf__iff,axiom, % 186.31/186.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2))) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__iff__inf,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.31/186.28 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__le2,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__le1,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__le__iff__disj,axiom, % 186.31/186.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 186.31/186.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__add__distrib__left,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 186.31/186.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oless__infI2,axiom, % 186.31/186.28 ! [V_a,V_x,V_b,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oless__infI1,axiom, % 186.31/186.28 ! [V_b,V_x,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__less__iff__disj,axiom, % 186.31/186.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 186.31/186.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__less__iff__conj,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,V_z_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2))) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__number__of,axiom, % 186.31/186.28 ! [V_v,V_u,T_b] : % 186.31/186.28 ( ( class_Int_Onumber(T_b) % 186.31/186.28 & class_Orderings_Oord(T_b) ) % 186.31/186.28 => ( ( 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))) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ 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))) % 186.31/186.28 => 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) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofold__inf__insert,axiom, % 186.31/186.28 ! [V_a_2,V_b_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__atLeastAtMostL1,axiom, % 186.31/186.28 ! [V_d_2,V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__atLeastAtMostR1,axiom, % 186.31/186.28 ! [V_d_2,V_c_2,V_b_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 186.31/186.28 ! [V_b_2,V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => 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))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofold1__belowI,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => 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)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Obelow__fold1__iff,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_fold1__below__iff,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( 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)) % 186.31/186.28 <=> ? [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_fold1__strict__below__iff,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( 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)) % 186.31/186.28 <=> ? [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_strict__below__fold1__iff,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__ord__min,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( class_Orderings_Oord(T_b) % 186.31/186.28 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oremove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oremove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oeq__fold_H,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_inf__nat__def,axiom, % 186.31/186.28 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Osingleton,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min__le,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min__in,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oin__idem,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_OF__eq,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min__antimono,axiom, % 186.31/186.28 ! [V_N_2,V_M_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 186.31/186.28 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min__insert,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Osubset__idem,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min__Un,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oeq__fold__idem_H,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oinsert,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oinsert__remove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Ounion__inter,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Ounion__disjoint,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Oclosed,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 186.31/186.28 ! [V_N_2,V_h_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min_Ohom__commute,axiom, % 186.31/186.28 ! [V_N_2,V_h_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__Max__eq__Min,axiom, % 186.31/186.28 ! [V_S_2,T_b] : % 186.31/186.28 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.28 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__Min__eq__Max,axiom, % 186.31/186.28 ! [V_S_2,T_b] : % 186.31/186.28 ( class_Groups_Olinordered__ab__group__add(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.28 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 186.31/186.28 ! [V_c_2,V_b_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 186.31/186.28 => 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))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Min__eqI,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ! [B_y] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Osingleton,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max__ge,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max__in,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max__mono,axiom, % 186.31/186.28 ! [V_N_2,V_M_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 186.31/186.28 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oremove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max__eqI,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ! [B_y] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oeq__fold_H,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Ounion__inter,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__inf__absorb,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__sup__absorb,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__inf__distrib1,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__inf__distrib2,axiom, % 186.31/186.28 ! [V_x,V_z,V_y,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 186.31/186.28 ! [V_x,V_z,V_y,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__0R,axiom, % 186.31/186.28 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__0L,axiom, % 186.31/186.28 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__Suc__Suc,axiom, % 186.31/186.28 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oidem,axiom, % 186.31/186.28 ! [V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup_Oidem,axiom, % 186.31/186.28 ! [V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup_Ocommute,axiom, % 186.31/186.28 ! [V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__commute,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup_Oleft__idem,axiom, % 186.31/186.28 ! [V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__left__idem,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup_Oleft__commute,axiom, % 186.31/186.28 ! [V_c,V_a,V_b,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__left__commute,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup_Oassoc,axiom, % 186.31/186.28 ! [V_c,V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__assoc,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sup__max,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( ( class_Lattices_Osemilattice__sup(T_b) % 186.31/186.28 & class_Orderings_Olinorder(T_b) ) % 186.31/186.28 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__diff__distrib__left,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Groups_Oordered__ab__group__add(T_a) % 186.31/186.28 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__supE,axiom, % 186.31/186.28 ! [V_x,V_b,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) % 186.31/186.28 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 186.31/186.28 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__mono,axiom, % 186.31/186.28 ! [V_d,V_b,V_c,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__least,axiom, % 186.31/186.28 ! [V_z,V_x,V_y,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__supI,axiom, % 186.31/186.28 ! [V_b,V_x,V_a,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__absorb1,axiom, % 186.31/186.28 ! [V_x,V_y,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__absorb2,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__supI2,axiom, % 186.31/186.28 ! [V_a,V_b,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__supI1,axiom, % 186.31/186.28 ! [V_b,V_a,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__sup__iff,axiom, % 186.31/186.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ole__iff__sup,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.31/186.28 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__maxI2,axiom, % 186.31/186.28 ! [V_x,V_y,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__maxI1,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__max__iff__disj,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,V_z_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 186.31/186.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__add__distrib__left,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 186.31/186.28 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oless__supI2,axiom, % 186.31/186.28 ! [V_a,V_b,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oless__supI1,axiom, % 186.31/186.28 ! [V_b,V_a,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__less__iff__conj,axiom, % 186.31/186.28 ! [V_z_2,V_y_2,V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__max__iff__disj,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,V_z_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 186.31/186.28 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__number__of,axiom, % 186.31/186.28 ! [V_v,V_u,T_b] : % 186.31/186.28 ( ( class_Int_Onumber(T_b) % 186.31/186.28 & class_Orderings_Oord(T_b) ) % 186.31/186.28 => ( ( 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))) % 186.31/186.28 => 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) ) % 186.31/186.28 & ( ~ 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))) % 186.31/186.28 => 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) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Odistrib__inf__le,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Odistrib__sup__le,axiom, % 186.31/186.28 ! [V_z,V_y,V_x,T_a] : % 186.31/186.28 ( class_Orderings_Olinorder(T_a) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__min__eq__max,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Groups_Olinordered__ab__group__add(T_a) % 186.31/186.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_minus__max__eq__min,axiom, % 186.31/186.28 ! [V_y,V_x,T_a] : % 186.31/186.28 ( class_Groups_Olinordered__ab__group__add(T_a) % 186.31/186.28 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__minus__add__max,axiom, % 186.31/186.28 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofold__sup__insert,axiom, % 186.31/186.28 ! [V_a_2,V_b_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oin__idem,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__atLeastAtMost,axiom, % 186.31/186.28 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__atLeastLessThan,axiom, % 186.31/186.28 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__greaterThanAtMost,axiom, % 186.31/186.28 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__greaterThanLessThan,axiom, % 186.31/186.28 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__atLeastAtMostL2,axiom, % 186.31/186.28 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__atLeastAtMostR2,axiom, % 186.31/186.28 ! [V_d_2,V_c_2,V_a_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_OF__eq,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__le__fold__sup,axiom, % 186.31/186.28 ! [V_b_2,V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => 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))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max__insert,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Osubset__idem,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Osup__Inf__absorb,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max__Un,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oeq__fold__idem_H,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oinsert,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oinsert__remove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Ounion__disjoint,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_max__ord__max,axiom, % 186.31/186.28 ! [T_b] : % 186.31/186.28 ( class_Orderings_Oord(T_b) % 186.31/186.28 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Oclosed,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OInf__le__Sup,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oremove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sup__nat__def,axiom, % 186.31/186.28 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 186.31/186.28 ! [V_x_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 186.31/186.28 ! [V_a_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 186.31/186.28 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.28 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 186.31/186.28 ! [V_x_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 186.31/186.28 ! [V_N_2,V_h_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Max_Ohom__commute,axiom, % 186.31/186.28 ! [V_N_2,V_h_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.28 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 186.31/186.28 ! [V_c_2,V_b_2,V_A_2,T_b] : % 186.31/186.28 ( class_Orderings_Olinorder(T_b) % 186.31/186.28 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => ( ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 186.31/186.28 => 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))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_pair__box_Osize_I1_J,axiom, % 186.31/186.28 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_arith__series__int,axiom, % 186.31/186.28 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 186.31/186.28 ! [V_w] : % 186.31/186.28 ( 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))) % 186.31/186.28 => ( ( 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)))) % 186.31/186.28 => 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))) ) % 186.31/186.28 & ( ~ 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)))) % 186.31/186.28 => 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)))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat_Osize_I2_J,axiom, % 186.31/186.28 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INF2__E,axiom, % 186.31/186.28 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 186.31/186.28 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INF2__D,axiom, % 186.31/186.28 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INF1__E,axiom, % 186.31/186.28 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 186.31/186.28 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INF1__D,axiom, % 186.31/186.28 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__D,axiom, % 186.31/186.28 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 186.31/186.28 ( 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))) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__E,axiom, % 186.31/186.28 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 186.31/186.28 ( 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))) % 186.31/186.28 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 186.31/186.28 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_SUP2__I,axiom, % 186.31/186.28 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__INT,axiom, % 186.31/186.28 ! [V_A_2,T_c,V_I_2,T_b] : % 186.31/186.28 ( ? [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 186.31/186.28 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_CollectI,axiom, % 186.31/186.28 ! [T_b,V_a_2,V_Pa_2] : % 186.31/186.28 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__Collect__conjI,axiom, % 186.31/186.28 ! [V_Qa_2,V_Pa_2,T_b] : % 186.31/186.28 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.28 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) % 186.31/186.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__I,axiom, % 186.31/186.28 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 186.31/186.28 => 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))) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_SUP1__I,axiom, % 186.31/186.28 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.28 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__Collect__less__nat,axiom, % 186.31/186.28 ! [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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__Collect__le__nat,axiom, % 186.31/186.28 ! [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)))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setsum__abs,axiom, % 186.31/186.28 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.28 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setsum__abs__ge__zero,axiom, % 186.31/186.28 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.28 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.28 => 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__Collect__subsets,axiom, % 186.31/186.28 ! [V_A_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.28 => 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)))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__extend__simps_I2_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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 ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__extend__simps_I3_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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 ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__simps_I2_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__simps_I3_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__insert,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Collect__imp__eq,axiom, % 186.31/186.28 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sup__Un__eq,axiom, % 186.31/186.28 ! [V_x_2,V_S_2,V_R_2,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 <=> 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sup__Un__eq2,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 <=> 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__Un__distrib,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__Un,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__simps_I7_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__simps_I6_J,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__extend__simps_I7_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Un__INT__distrib,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__extend__simps_I6_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Un__INT__distrib2,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Collect__disj__eq,axiom, % 186.31/186.28 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_sup__fun__def,axiom, % 186.31/186.28 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.28 ( class_Lattices_Olattice(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Un__Inter,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_insert__def,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__absorb,axiom, % 186.31/186.28 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Un__def,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__Un,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Union__image__eq,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UNION__eq__Union__image,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__simps_I1_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__simps_I2_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_inf__Int__eq,axiom, % 186.31/186.28 ! [V_x_2,V_S_2,V_R_2,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 <=> 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__absorb,axiom, % 186.31/186.28 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 186.31/186.28 => 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) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_inf__Int__eq2,axiom, % 186.31/186.28 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 186.31/186.28 ( 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)) % 186.31/186.28 <=> 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))) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__insert,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__extend__simps_I2_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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 ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__extend__simps_I1_J,axiom, % 186.31/186.28 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.28 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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 ) % 186.31/186.28 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.28 => 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)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__Union,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__Union2,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__simps_I5_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__simps_I4_J,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__extend__simps_I5_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__UN__distrib,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__extend__simps_I4_J,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__UN__distrib2,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__Int__distrib,axiom, % 186.31/186.28 ! [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)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Collect__conj__eq,axiom, % 186.31/186.28 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_inf__fun__def,axiom, % 186.31/186.28 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.28 ( class_Lattices_Olattice(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__Collect,axiom, % 186.31/186.28 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 186.31/186.28 ( 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)))) % 186.31/186.28 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.28 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_Int__def,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 186.31/186.28 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 186.31/186.28 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_card__eq__setsum,axiom, % 186.31/186.28 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 186.31/186.28 % 186.31/186.28 fof(fact_UN__UN__finite__eq,axiom, % 186.31/186.28 ! [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) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 186.31/186.28 ! [V_n_2,V_m_2,V_f_2,T_b] : % 186.31/186.28 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 186.31/186.28 ! [V_A_2,V_f_2,T_b] : % 186.31/186.28 ( ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.28 & class_Groups_Ocomm__monoid__mult(T_b) ) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 186.31/186.28 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 186.31/186.28 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.28 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat_Osize_I1_J,axiom, % 186.31/186.28 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__eq__Suc__le__raw,axiom, % 186.31/186.28 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__number__of__Bit0,axiom, % 186.31/186.28 ! [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))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_nat__seg__image__imp__finite,axiom, % 186.31/186.28 ! [V_n_2,V_f_2,T_b,V_A_2] : % 186.31/186.28 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2))) % 186.31/186.28 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_finite__M__bounded__by__nat,axiom, % 186.31/186.28 ! [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))))) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INF__less__iff,axiom, % 186.31/186.28 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 186.31/186.28 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.28 & class_Orderings_Olinorder(T_b) ) % 186.31/186.28 => ( 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)) % 186.31/186.28 <=> ? [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_less__SUP__iff,axiom, % 186.31/186.28 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 186.31/186.28 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.28 & class_Orderings_Olinorder(T_b) ) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> ? [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_setsum__addf,axiom, % 186.31/186.28 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.28 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.28 => 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)) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_le__INF__iff,axiom, % 186.31/186.28 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 186.31/186.28 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.28 => ( 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))) % 186.31/186.28 <=> ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_SUP__le__iff,axiom, % 186.31/186.28 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 186.31/186.28 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.28 => ( 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)) % 186.31/186.28 <=> ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.28 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 186.31/186.28 % 186.31/186.28 fof(fact_INT__subset__iff,axiom, % 186.31/186.28 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 186.31/186.28 ( 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))) % 186.31/186.28 <=> ! [B_x] : % 186.31/186.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__subset__iff,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pred__subset__eq2,axiom, % 186.31/186.29 ! [V_S_2,V_R_2,T_c,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__lower,axiom, % 186.31/186.29 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pred__subset__eq,axiom, % 186.31/186.29 ! [V_S_2,V_R_2,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__upper,axiom, % 186.31/186.29 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum_Odistrib,axiom, % 186.31/186.29 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF__leI,axiom, % 186.31/186.29 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_le__SUPI,axiom, % 186.31/186.29 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Pow__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__simps_I3_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.29 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__extend__simps_I3_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.29 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__extend__simps_I4_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.29 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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 ) % 186.31/186.29 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__simps_I7_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__simps_I6_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__extend__simps_I7_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__extend__simps_I6_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fun__diff__def,axiom, % 186.31/186.29 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Ominus(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__subtractf,axiom, % 186.31/186.29 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Oab__group__add(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_set__diff__eq,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_insert__compr,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_insert__compr__raw,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Collect__conv__if,axiom, % 186.31/186.29 ! [T_b,V_a_2,V_Pa_2] : % 186.31/186.29 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Collect__conv__if2,axiom, % 186.31/186.29 ! [T_b,V_a_2,V_Pa_2] : % 186.31/186.29 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_singleton__conv,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_singleton__conv2,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__constant__conv,axiom, % 186.31/186.29 ! [V_c_2,T_c,T_b,V_A_2] : % 186.31/186.29 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__insert__distrib,axiom, % 186.31/186.29 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__extend__simps_I1_J,axiom, % 186.31/186.29 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 186.31/186.29 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__singleton,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__simps_I1_J,axiom, % 186.31/186.29 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 186.31/186.29 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_abs__setprod,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Fields_Olinordered__field(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_abs__setsum__abs,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INTER__eq__Inter__image,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Inter__image__eq,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__Union,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__simps_I10_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__UN,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__extend__simps_I10_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__image,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__ident,axiom, % 186.31/186.29 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__simps_I10_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__extend__simps_I10_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_int__setsum,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__insert__distrib,axiom, % 186.31/186.29 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_bot__empty__eq2,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> 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)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_bot__empty__eq,axiom, % 186.31/186.29 ! [V_x_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__iff,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 <=> ? [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__iff,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pred__equals__eq,axiom, % 186.31/186.29 ! [V_S_2,V_R_2,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> V_R_2 = V_S_2 ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pred__equals__eq2,axiom, % 186.31/186.29 ! [V_S_2,V_R_2,T_c,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> V_R_2 = V_S_2 ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_CollectE,axiom, % 186.31/186.29 ! [V_Pa_2,V_a_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_CollectD,axiom, % 186.31/186.29 ! [V_Pa_2,V_a_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mem__Collect__eq,axiom, % 186.31/186.29 ! [V_Pa_2,V_a_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Collect__mem__eq,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__Collect__disjI,axiom, % 186.31/186.29 ! [V_Qa_2,V_Pa_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)))) % 186.31/186.29 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__simps_I5_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__extend__simps_I5_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_insert__Collect,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_bot__fun__def,axiom, % 186.31/186.29 ! [V_x_2,T_c,T_b] : % 186.31/186.29 ( class_Orderings_Obot(T_b) % 186.31/186.29 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_empty__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF__const,axiom, % 186.31/186.29 ! [V_M_2,T_b,V_A_2,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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 ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UNION__empty__conv_I1_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__empty2,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__constant,axiom, % 186.31/186.29 ! [V_c_2,T_c,T_b,V_A_2] : % 186.31/186.29 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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 ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UNION__empty__conv_I2_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUP__const,axiom, % 186.31/186.29 ! [V_M_2,T_b,V_A_2,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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 ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__negf,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Oab__group__add(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__timesf,axiom, % 186.31/186.29 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__product,axiom, % 186.31/186.29 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__0(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__left__distrib,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__0(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__right__distrib,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__0(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Collect__neg__eq,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fun__Compl__def,axiom, % 186.31/186.29 ! [V_x_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Ouminus(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Compl__UN,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Compl__INT,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUPR__apply,axiom, % 186.31/186.29 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__divide__distrib,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Fields_Ofield(T_b) % 186.31/186.29 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 186.31/186.29 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 186.31/186.29 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Pow__INT__eq,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Inter__def,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF__commute,axiom, % 186.31/186.29 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INFI__apply,axiom, % 186.31/186.29 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__simps_I8_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__extend__simps_I8_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__box_Oinject,axiom, % 186.31/186.29 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> ( V_a_2 = V_a_H_2 % 186.31/186.29 & V_b_2 = V_b_H_2 ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 186.31/186.29 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 186.31/186.29 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Union__def,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUP1__iff,axiom, % 186.31/186.29 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> ? [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__UN__flatten,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__simps_I9_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__simps_I9_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__extend__simps_I9_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__extend__simps_I9_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUP__commute,axiom, % 186.31/186.29 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fun__upd__def,axiom, % 186.31/186.29 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 186.31/186.29 ( ( V_x_2 = V_a_2 % 186.31/186.29 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 186.31/186.29 & ( V_x_2 != V_a_2 % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__commute,axiom, % 186.31/186.29 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fold__image__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__extend__simps_I8_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__simps_I8_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_int__setprod,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__int__setsum,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Rings_Oring__1(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__int__setprod,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.29 & class_Rings_Oring__1(T_b) ) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__dividef,axiom, % 186.31/186.29 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Fields_Ofield__inverse__zero(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Compl__eq,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod_Odistrib,axiom, % 186.31/186.29 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__atMost__UNIV,axiom, % 186.31/186.29 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__constant,axiom, % 186.31/186.29 ! [V_c_2,T_c,T_b,V_A_2] : % 186.31/186.29 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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 ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__empty,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UNIV__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__1,axiom, % 186.31/186.29 ! [V_A_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__0,axiom, % 186.31/186.29 ! [V_A_2,T_c,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__lessThan__UNIV,axiom, % 186.31/186.29 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF__INT__eq,axiom, % 186.31/186.29 ! [V_x_2,V_r_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF__INT__eq2,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUP__UN__eq2,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_range__composition,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__atLeast__UNIV,axiom, % 186.31/186.29 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__range__imageI,axiom, % 186.31/186.29 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 186.31/186.29 ( 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))))) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUP__UN__eq,axiom, % 186.31/186.29 ! [V_x_2,V_r_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__Collect__not,axiom, % 186.31/186.29 ! [V_Pa_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 => ( 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)))) % 186.31/186.29 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 186.31/186.29 ! [V_n_2,V_m_2,V_f_2,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__nat__setsum,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__1(T_b) % 186.31/186.29 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Int__Inter__image,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__le__add__shift,axiom, % 186.31/186.29 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__Pow__subset,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__nat__setprod,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.29 & class_Rings_Osemiring__1(T_b) ) % 186.31/186.29 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__add__atLeastLessThan,axiom, % 186.31/186.29 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__add__atLeastAtMost,axiom, % 186.31/186.29 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__delta_H,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => 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) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__delta,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => 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) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__constant,axiom, % 186.31/186.29 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__setsum__restrict,axiom, % 186.31/186.29 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_d) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 186.31/186.29 => 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) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__greaterThan__UNIV,axiom, % 186.31/186.29 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__delta_H,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__delta,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__eq__UN,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_if__image__distrib,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INT__simps_I4_J,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 186.31/186.29 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__constant,axiom, % 186.31/186.29 ! [V_A_2,V_y_2,T_c,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__1(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_power__number__of__even,axiom, % 186.31/186.29 ! [V_w_2,V_z_2,T_b] : % 186.31/186.29 ( class_Int_Onumber__ring(T_b) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fold__image__distrib,axiom, % 186.31/186.29 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_dual__max,axiom, % 186.31/186.29 ! [T_b] : % 186.31/186.29 ( class_Orderings_Olinorder(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_dual__min,axiom, % 186.31/186.29 ! [T_b] : % 186.31/186.29 ( class_Orderings_Olinorder(T_b) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__constant,axiom, % 186.31/186.29 ! [V_y_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup__SUPR__fold__sup,axiom, % 186.31/186.29 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf__INFI__fold__inf,axiom, % 186.31/186.29 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 186.31/186.29 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_zpower__number__of__even,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__lessThan__Suc,axiom, % 186.31/186.29 ! [V_n_2,V_f_2,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__atMost__Suc,axiom, % 186.31/186.29 ! [V_n_2,V_f_2,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 186.31/186.29 ! [V_A_2,V_f_2,T_b] : % 186.31/186.29 ( ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 & class_Groups_Ocomm__monoid__mult(T_b) ) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Un__Union__image,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__add__int__atLeastLessThan,axiom, % 186.31/186.29 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 186.31/186.29 ! [V_f_2,V_A_2,T_b] : % 186.31/186.29 ( ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 & class_Groups_Ocomm__monoid__mult(T_b) ) % 186.31/186.29 => ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Powp__Pow__eq,axiom, % 186.31/186.29 ! [V_x_2,V_A_2,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__restrict__set_H,axiom, % 186.31/186.29 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__restrict__set,axiom, % 186.31/186.29 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__image__gen,axiom, % 186.31/186.29 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__eq__fold__image,axiom, % 186.31/186.29 ! [V_f_2,T_c,V_A_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_power__number__of__even__number__of,axiom, % 186.31/186.29 ! [V_w_2,V_v_2,T_b] : % 186.31/186.29 ( class_Int_Onumber__ring(T_b) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUPR__fold__sup,axiom, % 186.31/186.29 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_card_Oeq__fold__g,axiom, % 186.31/186.29 ! [V_A_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_card__def,axiom, % 186.31/186.29 ! [V_A_2,T_b] : % 186.31/186.29 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fun__left__comm__idem__remove,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INFI__fold__inf,axiom, % 186.31/186.29 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_diff__nat__eq__if,axiom, % 186.31/186.29 ! [V_z_2,V_z_H_2] : % 186.31/186.29 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg__div__mod,axiom, % 186.31/186.29 ! [V_l,V_k] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg__minus1,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_card__less__Suc2,axiom, % 186.31/186.29 ! [V_i_2,V_M_2] : % 186.31/186.29 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_card__less,axiom, % 186.31/186.29 ! [V_i_2,V_M_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_card__less__Suc,axiom, % 186.31/186.29 ! [V_i_2,V_M_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__le__eq__Un0,axiom, % 186.31/186.29 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 186.31/186.29 ! [V_f_2,V_A_2,T_b] : % 186.31/186.29 ( ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 & class_Groups_Ocomm__monoid__mult(T_b) ) % 186.31/186.29 => ( c_Nat__Transfer_Onat__set(V_A_2) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_adjust__eq,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__head,axiom, % 186.31/186.29 ! [V_Pa_2,V_n_2,V_m_2,T_b] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.29 => 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_n_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_n_2))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__cases,axiom, % 186.31/186.29 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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))))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_minus__fold__remove,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Suc__eq__number__of,axiom, % 186.31/186.29 ! [V_v_2,V_n_2] : % 186.31/186.29 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_eq__number__of__Suc,axiom, % 186.31/186.29 ! [V_n_2,V_v_2] : % 186.31/186.29 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__number__of__Bit1,axiom, % 186.31/186.29 ! [V_w_2] : % 186.31/186.29 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 186.31/186.29 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_geometric__sum,axiom, % 186.31/186.29 ! [V_n_2,V_x_2,T_b] : % 186.31/186.29 ( class_Fields_Ofield(T_b) % 186.31/186.29 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_gauss__sum,axiom, % 186.31/186.29 ! [V_n_2,T_b] : % 186.31/186.29 ( class_Rings_Ocomm__semiring__1(T_b) % 186.31/186.29 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__natinterval__difff,axiom, % 186.31/186.29 ! [V_f_2,V_n_2,V_m_2,T_b] : % 186.31/186.29 ( class_Groups_Oab__group__add(T_b) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_less__Suc__number__of,axiom, % 186.31/186.29 ! [V_v_2,V_n_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_less__number__of__Suc,axiom, % 186.31/186.29 ! [V_n_2,V_v_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_le__Suc__number__of,axiom, % 186.31/186.29 ! [V_v_2,V_n_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_le__number__of__Suc,axiom, % 186.31/186.29 ! [V_n_2,V_v_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2))) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__Suc__number__of,axiom, % 186.31/186.29 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__number__of__Suc,axiom, % 186.31/186.29 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_power__number__of__odd,axiom, % 186.31/186.29 ! [V_z_2,V_w_2,T_b] : % 186.31/186.29 ( class_Int_Onumber__ring(T_b) % 186.31/186.29 => ( ( 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))) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ 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))) % 186.31/186.29 => 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) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setprod__gen__delta,axiom, % 186.31/186.29 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_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)))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_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)) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 186.31/186.29 ! [V_x_2,V_y_2,V_c_2] : % 186.31/186.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 186.31/186.29 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_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)) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 186.31/186.29 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_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))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 186.31/186.29 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_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)) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_zpower__number__of__odd,axiom, % 186.31/186.29 ! [V_z_2,V_w_2] : % 186.31/186.29 ( ( 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))) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ 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))) % 186.31/186.29 => 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) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_arith__series__general,axiom, % 186.31/186.29 ! [V_n_2,V_d_2,V_a_2,T_b] : % 186.31/186.29 ( class_Rings_Ocomm__semiring__1(T_b) % 186.31/186.29 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg_Osimps,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__number__of__Suc,axiom, % 186.31/186.29 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__Suc__number__of,axiom, % 186.31/186.29 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_arith__series__nat,axiom, % 186.31/186.29 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_power__number__of__odd__number__of,axiom, % 186.31/186.29 ! [V_v_2,V_w_2,T_b] : % 186.31/186.29 ( class_Int_Onumber__ring(T_b) % 186.31/186.29 => ( ( 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))) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ 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))) % 186.31/186.29 => 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) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg__eqn__number__of,axiom, % 186.31/186.29 ! [V_w,V_v] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg__eqn,axiom, % 186.31/186.29 ! [V_a,V_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 186.31/186.29 => 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))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_diff__nat__number__of,axiom, % 186.31/186.29 ! [V_v_2,V_v_H_2] : % 186.31/186.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_norm__frac_Osimps,axiom, % 186.31/186.29 ! [V_a_2,V_b_2] : % 186.31/186.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.29 => 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))) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__case__add__eq__if,axiom, % 186.31/186.29 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 186.31/186.29 ! [V_w] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( 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))) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ 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))) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg_Osimps,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup2CI,axiom, % 186.31/186.29 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 186.31/186.29 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup2E,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf2I,axiom, % 186.31/186.29 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf2E,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 186.31/186.29 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_bot2E,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF1__iff,axiom, % 186.31/186.29 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_INF2__iff,axiom, % 186.31/186.29 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_SUP2__iff,axiom, % 186.31/186.29 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> ? [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_rev__predicate2D,axiom, % 186.31/186.29 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_predicate2D,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_less__by__empty,axiom, % 186.31/186.29 ! [V_B_2,T_b,V_A_2] : % 186.31/186.29 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf2D1,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf2D2,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup2I2,axiom, % 186.31/186.29 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup2I1,axiom, % 186.31/186.29 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__case__0,axiom, % 186.31/186.29 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__case__Suc,axiom, % 186.31/186.29 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg__0,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__Suc1,axiom, % 186.31/186.29 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__Suc2,axiom, % 186.31/186.29 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 186.31/186.29 ! [V_n_2,V_m_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 186.31/186.29 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_diff__Suc,axiom, % 186.31/186.29 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__Suc2,axiom, % 186.31/186.29 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__Suc1,axiom, % 186.31/186.29 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg__div__mod,axiom, % 186.31/186.29 ! [V_l,V_k] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__case__number__of,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg__eqn,axiom, % 186.31/186.29 ! [V_a,V_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 186.31/186.29 => 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))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg__eqn__number__of,axiom, % 186.31/186.29 ! [V_w,V_v] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( 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))) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ 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))) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_in__rel__def,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__mod__code__numeral__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Nitpick_Orefl_H__def,axiom, % 186.31/186.29 ! [V_r_2,T_b] : % 186.31/186.29 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 186.31/186.29 <=> ! [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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_adjust__def,axiom, % 186.31/186.29 ! [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))))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__step,axiom, % 186.31/186.29 ! [V_m,V_n] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__rec__add__eq__if,axiom, % 186.31/186.29 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__rec__0,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__rec__Suc,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__zero,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__base,axiom, % 186.31/186.29 ! [V_n,V_m] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__div__mod,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__rec__number__of,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__imageI,axiom, % 186.31/186.29 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__int__num,axiom, % 186.31/186.29 ! [V_k_2,T_b] : % 186.31/186.29 ( class_Rings_Oring__1(T_b) % 186.31/186.29 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 186.31/186.29 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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))) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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))))) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 186.31/186.29 ! [V_n_2,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__1(T_b) % 186.31/186.29 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_splitI,axiom, % 186.31/186.29 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_prod__caseI,axiom, % 186.31/186.29 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mem__splitI,axiom, % 186.31/186.29 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 186.31/186.29 => 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)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_splitD,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_splitD_H,axiom, % 186.31/186.29 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 186.31/186.29 ! [V_i_2,V_inc_2,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__1(T_b) % 186.31/186.29 => 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 ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 186.31/186.29 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 186.31/186.29 ( class_Rings_Osemiring__1(T_b) % 186.31/186.29 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__paired__All,axiom, % 186.31/186.29 ! [T_c,T_b,V_Pa_2] : % 186.31/186.29 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.29 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Pair__eq,axiom, % 186.31/186.29 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> ( V_a_2 = V_a_H_2 % 186.31/186.29 & V_b_2 = V_b_H_2 ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Pair__inject,axiom, % 186.31/186.29 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 186.31/186.29 ( 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) % 186.31/186.29 => ~ ( V_a = V_a_H % 186.31/186.29 => V_b != V_b_H ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__weak__cong,axiom, % 186.31/186.29 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 186.31/186.29 ( V_p_2 = V_q_2 % 186.31/186.29 => 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__mod__div,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_prod_Osimps_I2_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__conv,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__if,axiom, % 186.31/186.29 ! [V_m_2,V_n_2] : % 186.31/186.29 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 186.31/186.29 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) ) % 186.31/186.29 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 186.31/186.29 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__eta,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__twice,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Nitpick_OFrac__def,axiom, % 186.31/186.29 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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__def,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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))) ) ) ) ) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => 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))) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__pdivmod,axiom, % 186.31/186.29 ! [V_l_2,V_k_2] : % 186.31/186.29 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)))) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apsnd__conv,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negateSnd__def,axiom, % 186.31/186.29 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negateSnd__eq,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pdivmod__def,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pdivmod__posDivAlg,axiom, % 186.31/186.29 ! [V_k,V_l] : % 186.31/186.29 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__code,axiom, % 186.31/186.29 ! [V_l_2,V_k_2] : % 186.31/186.29 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)))) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Nitpick_Oprod__def,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_int__ge__less__than2__def,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_int__ge__less__than__def,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 186.31/186.29 ! [V_a,V_r,V_q,V_c,V_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 186.31/186.29 ! [V_c,V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__box_Osize_I2_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel__unique,axiom, % 186.31/186.29 ! [V_qr_H,V_qr,V_n,V_m] : % 186.31/186.29 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 186.31/186.29 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 186.31/186.29 => V_qr = V_qr_H ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 186.31/186.29 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__eq,axiom, % 186.31/186.29 ! [V_qr,V_n,V_m] : % 186.31/186.29 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 186.31/186.29 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__eq,axiom, % 186.31/186.29 ! [V_r,V_q,V_n,V_m] : % 186.31/186.29 ( 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))) % 186.31/186.29 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__eq,axiom, % 186.31/186.29 ! [V_r,V_q,V_n,V_m] : % 186.31/186.29 ( 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))) % 186.31/186.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel__add1__eq,axiom, % 186.31/186.29 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__box_Orecs,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__box_Osimps_I2_J,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg_Opsimps,axiom, % 186.31/186.29 ! [V_b_2,V_a_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_accp__downward,axiom, % 186.31/186.29 ! [V_a_2,V_b_2,V_r_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 186.31/186.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_accp_Oequations,axiom, % 186.31/186.29 ! [V_a_2,V_r_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 186.31/186.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_accp_Osimps,axiom, % 186.31/186.29 ! [V_a_2,V_r_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 186.31/186.29 <=> ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 186.31/186.29 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_accp__subset,axiom, % 186.31/186.29 ! [V_R2_2,V_R1_2,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg_Opsimps,axiom, % 186.31/186.29 ! [V_b_2,V_a_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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) ) % 186.31/186.29 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_norm__frac_Opsimps,axiom, % 186.31/186.29 ! [V_b_2,V_a_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.29 => 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)) ) % 186.31/186.29 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 186.31/186.29 => 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))) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg_Opinduct,axiom, % 186.31/186.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ! [B_a,B_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b))) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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))) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg_Opinduct,axiom, % 186.31/186.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ! [B_a,B_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 186.31/186.29 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 186.31/186.29 => 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))) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__gcd_Opsimps,axiom, % 186.31/186.29 ! [V_y_2,V_x_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 186.31/186.29 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 => 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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_zmult2__lemma,axiom, % 186.31/186.29 ! [V_c,V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__rel__0,axiom, % 186.31/186.29 ! [V_b] : % 186.31/186.29 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_self__remainder,axiom, % 186.31/186.29 ! [V_r,V_q,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_unique__quotient,axiom, % 186.31/186.29 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => V_q = V_q_H ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_unique__remainder,axiom, % 186.31/186.29 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => V_r = V_r_H ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__rel__neg,axiom, % 186.31/186.29 ! [V_qr,V_b,V_a] : % 186.31/186.29 ( 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)) % 186.31/186.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__correct,axiom, % 186.31/186.29 ! [V_a,V_b] : % 186.31/186.29 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_self__quotient,axiom, % 186.31/186.29 ! [V_r,V_q,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__rel__mod,axiom, % 186.31/186.29 ! [V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__rel__div,axiom, % 186.31/186.29 ! [V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_negDivAlg__correct,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__rel__div__mod,axiom, % 186.31/186.29 ! [V_a,V_b] : % 186.31/186.29 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_posDivAlg__correct,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_zadd1__lemma,axiom, % 186.31/186.29 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_zminus1__lemma,axiom, % 186.31/186.29 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__relI,axiom, % 186.31/186.29 ! [V_r,V_q,V_b,V_a] : % 186.31/186.29 ( 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) % 186.31/186.29 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 186.31/186.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 186.31/186.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_zmult1__lemma,axiom, % 186.31/186.29 ! [V_a,V_r,V_q,V_c,V_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__int__rel__def,axiom, % 186.31/186.29 ! [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))))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 186.31/186.29 ! [V_f_2,V_A_2,T_b] : % 186.31/186.29 ( ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__pos__neg__1__number__of,axiom, % 186.31/186.29 ! [V_w] : % 186.31/186.29 ( 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))) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_in__measure,axiom, % 186.31/186.29 ! [V_f_2,V_y_2,V_x_2,T_b] : % 186.31/186.29 ( hBOOL(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))) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_snd__apsnd,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apsnd__eq__conv,axiom, % 186.31/186.29 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_snd__conv,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_snd__eqD,axiom, % 186.31/186.29 ! [V_a,V_y,V_x,T_a,T_b] : % 186.31/186.29 ( 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 % 186.31/186.29 => V_y = V_a ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_snd__def,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__int__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__neg__pos,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__pos__pos,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__pos__pos__1__number__of,axiom, % 186.31/186.29 ! [V_w] : % 186.31/186.29 ( 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))) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__pos__neg,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__neg__neg,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 186.31/186.29 ! [V_f_2,V_A_2,T_b] : % 186.31/186.29 ( ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_norm__frac_Opinduct,axiom, % 186.31/186.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ! [B_a,B_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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))) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__pos__neg__1__number__of,axiom, % 186.31/186.29 ! [V_w] : % 186.31/186.29 ( 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))) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Pair__fst__snd__eq,axiom, % 186.31/186.29 ! [T_c,T_b,V_t_2,V_s_2] : % 186.31/186.29 ( V_s_2 = V_t_2 % 186.31/186.29 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 186.31/186.29 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_prod__eqI,axiom, % 186.31/186.29 ! [V_q,V_p,T_b,T_a] : % 186.31/186.29 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 186.31/186.29 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 186.31/186.29 => V_p = V_q ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fst__def,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fst__eqD,axiom, % 186.31/186.29 ! [V_a,V_y,V_x,T_b,T_a] : % 186.31/186.29 ( 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 % 186.31/186.29 => V_x = V_a ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fst__conv,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_fst__apsnd,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__collapse,axiom, % 186.31/186.29 ! [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 ). % 186.31/186.29 % 186.31/186.29 fof(fact_surjective__pairing,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_prod__case__beta,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__int__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mod__nat__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__comp__eq,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__beta,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_split__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__neg__pos,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__pos__pos,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__pos__pos__1__number__of,axiom, % 186.31/186.29 ! [V_w] : % 186.31/186.29 ( 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))) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__pos__neg,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__neg__neg,axiom, % 186.31/186.29 ! [V_b,V_a] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_prod__size__simp,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_exI__realizer,axiom, % 186.31/186.29 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 186.31/186.29 => 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)))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_conjI__realizer,axiom, % 186.31/186.29 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] : % 186.31/186.29 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 186.31/186.29 => ( hBOOL(hAPP(V_Qa_2,V_q_2)) % 186.31/186.29 => ( 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)))) % 186.31/186.29 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_div__nat__def,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_divmod__nat__rel__def,axiom, % 186.31/186.29 ! [V_qr_2,V_n_2,V_m_2] : % 186.31/186.29 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 186.31/186.29 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)) % 186.31/186.29 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.29 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 186.31/186.29 => ( 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))) % 186.31/186.29 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) ) % 186.31/186.29 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 186.31/186.29 & 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))) ) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__def,axiom, % 186.31/186.29 ! [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)))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__finite2__subset,axiom, % 186.31/186.29 ! [V_B_2,V_k_2,V_A_2,T_b] : % 186.31/186.29 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2))) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__gcd_Opinduct,axiom, % 186.31/186.29 ! [V_Pa_2,V_a1_2,V_a0_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ! [B_x,B_y] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Rep__Integ__inject,axiom, % 186.31/186.29 ! [V_y_2,V_x_2] : % 186.31/186.29 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 186.31/186.29 <=> V_x_2 = V_y_2 ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_range,axiom, % 186.31/186.29 ! [V_s,V_k] : % 186.31/186.29 ( 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)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__multicount,axiom, % 186.31/186.29 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 186.31/186.29 => ( ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 186.31/186.29 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mlex__leq,axiom, % 186.31/186.29 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( hBOOL(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)) % 186.31/186.29 => hBOOL(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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mlex__less,axiom, % 186.31/186.29 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 186.31/186.29 ( 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))) % 186.31/186.29 => hBOOL(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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__psubset__def,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b] : % 186.31/186.29 ( class_Orderings_Olinorder(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.29 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))))) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 186.31/186.29 ! [V_x_2,V_A_2,T_b] : % 186.31/186.29 ( class_Orderings_Olinorder(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__Collect__bounded__ex,axiom, % 186.31/186.29 ! [V_Qa_2,T_c,V_Pa_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))))) % 186.31/186.29 <=> ! [B_y] : % 186.31/186.29 ( hBOOL(hAPP(V_Pa_2,B_y)) % 186.31/186.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__image__set,axiom, % 186.31/186.29 ! [V_f_2,T_c,V_Pa_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 186.31/186.29 => 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))))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Pow__Compl,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_add__Max__commute,axiom, % 186.31/186.29 ! [V_k_2,V_N_2,T_b] : % 186.31/186.29 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.29 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_add__Min__commute,axiom, % 186.31/186.29 ! [V_k_2,V_N_2,T_b] : % 186.31/186.29 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 186.31/186.29 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup__Inf1__distrib,axiom, % 186.31/186.29 ! [V_x_2,V_A_2,T_b] : % 186.31/186.29 ( class_Lattices_Odistrib__lattice(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sup__Inf2__distrib,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b] : % 186.31/186.29 ( class_Lattices_Odistrib__lattice(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.29 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))))) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf__Sup1__distrib,axiom, % 186.31/186.29 ! [V_x_2,V_A_2,T_b] : % 186.31/186.29 ( class_Lattices_Odistrib__lattice(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inf__Sup2__distrib,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b] : % 186.31/186.29 ( class_Lattices_Odistrib__lattice(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.29 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))))) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_in__finite__psubset,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.29 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 186.31/186.29 ! [V_B_2,V_A_2,T_b] : % 186.31/186.29 ( class_Orderings_Olinorder(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.29 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))))) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 186.31/186.29 ! [V_x_2,V_A_2,T_b] : % 186.31/186.29 ( class_Orderings_Olinorder(T_b) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.29 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.29 => 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))))) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat_Osize_I4_J,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_prod_Orecs,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__finite2__eq,axiom, % 186.31/186.29 ! [V_B_2,V_k_2,V_A_2,T_b] : % 186.31/186.29 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2) % 186.31/186.29 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat__size,axiom, % 186.31/186.29 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat_Osize_I3_J,axiom, % 186.31/186.29 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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__finite__subset,axiom, % 186.31/186.29 ! [V_C_2,V_A_2,T_b] : % 186.31/186.29 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__multicount__gen,axiom, % 186.31/186.29 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 186.31/186.29 => ( ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 186.31/186.29 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 186.31/186.29 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_in__lex__prod,axiom, % 186.31/186.29 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 <=> ( hBOOL(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)) % 186.31/186.29 | ( V_a_2 = V_a_H_2 % 186.31/186.29 & 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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_same__fstI,axiom, % 186.31/186.29 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 186.31/186.29 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.29 => ( 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))) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__nonneg__0,axiom, % 186.31/186.29 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Oordered__ab__group__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 186.31/186.29 => ( ! [B_i] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 186.31/186.29 => ( 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) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 186.31/186.29 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_setsum__nonneg__leq__bound,axiom, % 186.31/186.29 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 186.31/186.29 ( class_Groups_Oordered__ab__group__add(T_c) % 186.31/186.29 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 186.31/186.29 => ( ! [B_i] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 186.31/186.29 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_sum__diff__distrib,axiom, % 186.31/186.29 ! [V_n_2,V_Pa_2,V_Qa_2] : % 186.31/186.29 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x))) % 186.31/186.29 => 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_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Qa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apfst__apsnd,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apsnd__apfst,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_fst__apfst,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apfst__eq__conv,axiom, % 186.31/186.29 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apfst__conv,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_snd__apfst,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_apsnd__apfst__commute,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__lessI2,axiom, % 186.31/186.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__ext__additive,axiom, % 186.31/186.29 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 186.31/186.29 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 186.31/186.29 ( ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.29 & class_Groups_Ocomm__monoid__mult(T_b) ) % 186.31/186.29 => ( V_A_2 = V_B_2 % 186.31/186.29 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.29 => ( ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.29 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 186.31/186.29 => 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) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__lessI1,axiom, % 186.31/186.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__extp__max__ext__eq,axiom, % 186.31/186.29 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__leqI2,axiom, % 186.31/186.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_smax__insertI,axiom, % 186.31/186.29 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => 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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_smax__emptyI,axiom, % 186.31/186.29 ! [V_Y_2] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 186.31/186.29 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__strict__def,axiom, % 186.31/186.29 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__leqI1,axiom, % 186.31/186.29 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_wmin__insertI,axiom, % 186.31/186.29 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => 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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_wmax__insertI,axiom, % 186.31/186.29 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => 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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_smin__insertI,axiom, % 186.31/186.29 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => 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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_wmax__emptyI,axiom, % 186.31/186.29 ! [V_X_2] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_smin__emptyI,axiom, % 186.31/186.29 ! [V_X_2] : % 186.31/186.29 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_wmin__emptyI,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__weak__def,axiom, % 186.31/186.29 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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__weak__def,axiom, % 186.31/186.29 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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__rpair__set,axiom, % 186.31/186.29 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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_max__rpair__set,axiom, % 186.31/186.29 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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_min__strict__def,axiom, % 186.31/186.29 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 186.31/186.29 % 186.31/186.29 fof(fact_less__than__iff,axiom, % 186.31/186.29 ! [V_y_2,V_x_2] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_intrel__iff,axiom, % 186.31/186.29 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> 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) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_rp__inv__image__rp,axiom, % 186.31/186.29 ! [V_f_2,T_c,V_Pa_2,T_b] : % 186.31/186.29 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 186.31/186.29 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_pair__less__def,axiom, % 186.31/186.29 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mlex__prod__def,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_rp__inv__image__def,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__intrel__iff,axiom, % 186.31/186.29 ! [V_y_2,V_x_2] : % 186.31/186.29 ( 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)))) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_measure__def,axiom, % 186.31/186.29 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__singleton,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_inv__image__def,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__singleton__iff,axiom, % 186.31/186.29 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 186.31/186.29 ( 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)))))) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__empty,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__Un,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__UN,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__Int__subset,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__mono,axiom, % 186.31/186.29 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 186.31/186.29 => 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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Un__Image,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_in__inv__image,axiom, % 186.31/186.29 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 186.31/186.29 ( hBOOL(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))) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__INT__subset,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_rev__ImageI,axiom, % 186.31/186.29 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__iff,axiom, % 186.31/186.29 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 186.31/186.29 <=> ? [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.31/186.29 & 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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__eq__UN,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_of__int,axiom, % 186.31/186.29 ! [V_j_2,V_i_2,T_b] : % 186.31/186.29 ( class_Rings_Oring__1(T_b) % 186.31/186.29 => 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_One__int__def,axiom, % 186.31/186.29 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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mult,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Rep__Integ__inverse,axiom, % 186.31/186.29 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 186.31/186.29 % 186.31/186.29 fof(fact_minus,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Zero__int__def,axiom, % 186.31/186.29 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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_int__def,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_add,axiom, % 186.31/186.29 ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_nat,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_minus__int__def,axiom, % 186.31/186.29 ! [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))))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_less,axiom, % 186.31/186.29 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 186.31/186.29 ( 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))))))) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_le,axiom, % 186.31/186.29 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 186.31/186.29 ( 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))))))) % 186.31/186.29 <=> 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_irrefl__def,axiom, % 186.31/186.29 ! [V_r_2,T_b] : % 186.31/186.29 ( c_Relation_Oirrefl(T_b,V_r_2) % 186.31/186.29 <=> ! [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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_eq__Abs__Integ,axiom, % 186.31/186.29 ! [V_z_2] : % 186.31/186.29 ~ ! [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))))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Field__insert,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Field__Union,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Field__empty,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_mono__Field,axiom, % 186.31/186.29 ! [V_s_2,V_r_2,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Field__Un,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_finite__Field,axiom, % 186.31/186.29 ! [V_r_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 186.31/186.29 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Id__on__def,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__def,axiom, % 186.31/186.29 ! [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)))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_ImageE,axiom, % 186.31/186.29 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 186.31/186.29 => ~ ! [B_x] : % 186.31/186.29 ( 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)) % 186.31/186.29 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__is__empty,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,T_b] : % 186.31/186.29 ( 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)) % 186.31/186.29 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__is__empty2,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,T_b] : % 186.31/186.29 ( 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) % 186.31/186.29 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__empty,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Id__on__def_H,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Id__on__empty,axiom, % 186.31/186.29 ! [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)) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Image__Id__on,axiom, % 186.31/186.29 ! [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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotientI,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,V_x_2,T_b] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.29 => 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))) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Id__on__eqI,axiom, % 186.31/186.29 ! [V_A_2,T_b,V_b_2,V_a_2] : % 186.31/186.29 ( V_a_2 = V_b_2 % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => hBOOL(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))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Id__on__iff,axiom, % 186.31/186.29 ! [V_A_2,V_y_2,V_x_2,T_b] : % 186.31/186.29 ( hBOOL(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))) % 186.31/186.29 <=> ( V_x_2 = V_y_2 % 186.31/186.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_singleton__quotient,axiom, % 186.31/186.29 ! [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))) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__class__nondisjoint,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( 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))))))) % 186.31/186.29 => hBOOL(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)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_subset__equiv__class,axiom, % 186.31/186.29 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( 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)))))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 186.31/186.29 => hBOOL(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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotientE,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,V_X_2,T_b] : % 186.31/186.29 ( 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))) % 186.31/186.29 => ~ ! [B_x] : % 186.31/186.29 ( 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)))) % 186.31/186.29 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__intrel,axiom, % 186.31/186.29 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) ). % 186.31/186.29 % 186.31/186.29 fof(fact_Union__quotient,axiom, % 186.31/186.29 ! [V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => 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 ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__class__self,axiom, % 186.31/186.29 ! [V_a_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => 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)))))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__disj,axiom, % 186.31/186.29 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( V_X_2 = V_Y_2 % 186.31/186.29 | 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)) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__class__eq,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(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)) % 186.31/186.29 => 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)))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__eq__iff,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 186.31/186.29 => ( V_X_2 = V_Y_2 % 186.31/186.29 <=> hBOOL(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)) ) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_quotient__eqI,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 186.31/186.29 => ( hBOOL(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)) % 186.31/186.29 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__class__eq__iff,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(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)) % 186.31/186.29 <=> ( 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)))) % 186.31/186.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.29 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_eq__equiv__class__iff,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 186.31/186.29 => ( 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)))) % 186.31/186.29 <=> hBOOL(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)) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_eq__equiv__class,axiom, % 186.31/186.29 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 186.31/186.29 ( 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)))) % 186.31/186.29 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 186.31/186.29 => hBOOL(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)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equiv__class__subset,axiom, % 186.31/186.29 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(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)) % 186.31/186.29 => 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)))))) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_eq__equiv__class__iff2,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 186.31/186.29 => ( 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) % 186.31/186.29 <=> hBOOL(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)) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__equiv__class,axiom, % 186.31/186.29 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => 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) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__equiv__class2,axiom, % 186.31/186.29 ! [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] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 186.31/186.29 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 186.31/186.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 186.31/186.29 => 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) ) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equivp__equiv,axiom, % 186.31/186.29 ! [V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 186.31/186.29 <=> 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)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equivp__transp,axiom, % 186.31/186.29 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equivp__symp,axiom, % 186.31/186.29 ! [V_y_2,V_x_2,V_R_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equivp__reflp,axiom, % 186.31/186.29 ! [V_x_2,V_R_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.31/186.29 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_equivp__def,axiom, % 186.31/186.29 ! [V_R_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.31/186.29 <=> ! [B_x,B_y] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 186.31/186.29 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_identity__equivp,axiom, % 186.31/186.29 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 186.31/186.29 % 186.31/186.29 fof(fact_congruent2__implies__congruent,axiom, % 186.31/186.29 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 186.31/186.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.29 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_congruent2D,axiom, % 186.31/186.29 ! [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] : % 186.31/186.29 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 186.31/186.29 => ( 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)) % 186.31/186.29 => ( 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)) % 186.31/186.29 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_congruentD,axiom, % 186.31/186.29 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 186.31/186.29 => ( 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)) % 186.31/186.29 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_congruent2__implies__congruent__UN,axiom, % 186.31/186.29 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 186.31/186.29 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 186.31/186.29 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 186.31/186.29 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 186.31/186.29 => 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)) ) ) ) ) ). % 186.31/186.29 % 186.31/186.29 fof(fact_UN__equiv__class__inject,axiom, % 186.31/186.29 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 186.31/186.29 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.29 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 186.31/186.29 => ( 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) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( 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))) % 186.31/186.29 => ( ! [B_x] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.29 => ! [B_y] : % 186.31/186.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 186.31/186.29 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 186.31/186.29 => 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)) ) ) ) % 186.31/186.30 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_UN__equiv__class__type2,axiom, % 186.31/186.30 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 186.31/186.30 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 186.31/186.30 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 186.31/186.30 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2))) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2))) % 186.31/186.30 => ( ! [B_x1] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 186.31/186.30 => ! [B_x2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_UN__equiv__class__type,axiom, % 186.31/186.30 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.30 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Integ__def,axiom, % 186.31/186.30 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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Id__onE,axiom, % 186.31/186.30 ! [V_A_2,V_c_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 186.31/186.30 => ~ ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__quotient__disjoint,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( 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) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__empty,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__uminus,axiom, % 186.31/186.30 ! [V_A_2,T_b] : % 186.31/186.30 ( class_Groups_Oordered__ab__group__add(T_b) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__Un__image__eq__iff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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) % 186.31/186.30 <=> V_A_2 = V_B_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__id2,axiom, % 186.31/186.30 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 186.31/186.30 % 186.31/186.30 fof(fact_subset__inj__on,axiom, % 186.31/186.30 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__Int,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__diff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__def,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 <=> ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => ! [B_xa] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 186.31/186.30 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 186.31/186.30 => B_x = B_xa ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__onD,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 186.31/186.30 => V_x_2 = V_y_2 ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__iff,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 186.31/186.30 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 186.31/186.30 <=> V_x_2 = V_y_2 ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__contraD,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( V_x_2 != V_y_2 % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 186.31/186.30 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__imageD,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 186.31/186.30 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__image__eq__iff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( 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) % 186.31/186.30 <=> V_A_2 = V_B_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__eq,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 186.31/186.30 <=> V_x_2 = V_y_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_injD,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 186.31/186.30 => V_x_2 = V_y_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__fun,axiom, % 186.31/186.30 ! [T_d,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__image,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => 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) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__strict__subset,axiom, % 186.31/186.30 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_range__ex1__eq,axiom, % 186.31/186.30 ! [V_b_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( 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))))) % 186.31/186.30 <=> ? [B_x] : % 186.31/186.30 ( V_b_2 = hAPP(V_f_2,B_x) % 186.31/186.30 & ! [B_y] : % 186.31/186.30 ( V_b_2 = hAPP(V_f_2,B_y) % 186.31/186.30 => B_y = B_x ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__image__mem__iff,axiom, % 186.31/186.30 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( 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))) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__iff__surj,axiom, % 186.31/186.30 ! [V_A_H_2,T_c,T_b,V_A_2] : % 186.31/186.30 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => ( ? [B_f] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 186.31/186.30 & 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)) ) % 186.31/186.30 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_endo__inj__surj,axiom, % 186.31/186.30 ! [V_f_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 186.31/186.30 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__surj__inj,axiom, % 186.31/186.30 ! [V_f_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( 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))) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__UNIV__surj__inj,axiom, % 186.31/186.30 ! [V_f_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.30 => ( 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)) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__UNIV__inj__surj,axiom, % 186.31/186.30 ! [V_f_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__image__subset__iff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( 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))) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__image__Int,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__Int,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__iff__eq__card,axiom, % 186.31/186.30 ! [V_f_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 <=> 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_eq__card__imp__inj__on,axiom, % 186.31/186.30 ! [V_f_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( 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) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__image__set__diff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__set__diff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pigeonhole,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__fun__updI,axiom, % 186.31/186.30 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__singleton,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Rep__Integ,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__bij__eq,axiom, % 186.31/186.30 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.30 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__image__Compl__subset,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__insert,axiom, % 186.31/186.30 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 186.31/186.30 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 & ~ 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))))))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__Un,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 & 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__inj__on__le,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.30 => 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))) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__iff__card__le,axiom, % 186.31/186.30 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.30 => ( ? [B_f] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 186.31/186.30 & 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)) ) % 186.31/186.30 <=> 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))) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_quotient__diff1,axiom, % 186.31/186.30 ! [V_a_2,V_A_2,V_r_2,T_b] : % 186.31/186.30 ( 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) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_type__definition__Integ,axiom, % 186.31/186.30 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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__INT,axiom, % 186.31/186.30 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 186.31/186.30 => 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)) ) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__into__into,axiom, % 186.31/186.30 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__conv__nat__seg__image,axiom, % 186.31/186.30 ! [V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 <=> ? [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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__add__nat,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__Suc,axiom, % 186.31/186.30 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__of__nat,axiom, % 186.31/186.30 ! [T_b] : % 186.31/186.30 ( class_Nat_Osemiring__char__0(T_b) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__int,axiom, % 186.31/186.30 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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_swap__inj__on,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__into__f__f,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => 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 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__into__f__eq,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__into__onto,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => 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 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__the__inv__into,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__f__f,axiom, % 186.31/186.30 ! [V_x_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__graph,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_f__the__inv__into__f,axiom, % 186.31/186.30 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.31/186.30 => 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 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 186.31/186.30 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 186.31/186.30 ( ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.30 & class_Groups_Ocomm__monoid__mult(T_b) ) % 186.31/186.30 => ( V_A_2 = V_B_2 % 186.31/186.30 => ( c_Nat__Transfer_Onat__set(V_B_2) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.30 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 186.31/186.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_accp__acc__eq,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__def,axiom, % 186.31/186.30 ! [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))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__compI,axiom, % 186.31/186.30 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__UNION__distrib,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__UNION__distrib2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__empty1,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__empty2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__distrib,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__distrib2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_O__assoc,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__mono,axiom, % 186.31/186.30 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_union__comp__emptyR,axiom, % 186.31/186.30 ! [V_C_2,V_B_2,V_A_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_union__comp__emptyL,axiom, % 186.31/186.30 ! [V_B_2,V_C_2,V_A_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc__subset,axiom, % 186.31/186.30 ! [V_R2_2,V_R1_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc__downward,axiom, % 186.31/186.30 ! [V_a_2,V_r_2,V_b_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 186.31/186.30 => ( hBOOL(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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc_Osimps,axiom, % 186.31/186.30 ! [V_r_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 186.31/186.30 <=> ! [B_x] : % 186.31/186.30 ( 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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_max__ext__compat,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_min__ext__compat,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pred__comp__rel__comp__eq,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reduction__pairI,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_R_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_max__extp_Oequations,axiom, % 186.31/186.30 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 186.31/186.30 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 186.31/186.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 186.31/186.30 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 & ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 186.31/186.30 => ? [B_xa] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 186.31/186.30 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__less__than,axiom, % 186.31/186.30 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pred__comp_Ointros,axiom, % 186.31/186.30 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__empty,axiom, % 186.31/186.30 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__inv__image,axiom, % 186.31/186.30 ! [V_f_2,T_c,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__lex__prod,axiom, % 186.31/186.30 ! [V_rb_2,T_c,V_ra_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_ra_2) % 186.31/186.30 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 186.31/186.30 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__measure,axiom, % 186.31/186.30 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__comp__self,axiom, % 186.31/186.30 ! [V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_R_2) % 186.31/186.30 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_min__ext__wf,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__finite__psubset,axiom, % 186.31/186.30 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pred__comp_Oequations,axiom, % 186.31/186.30 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> ? [B_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 186.31/186.30 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__subset,axiom, % 186.31/186.30 ! [V_p_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__Int2,axiom, % 186.31/186.30 ! [V_r_H_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__Int1,axiom, % 186.31/186.30 ! [V_r_H_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__mlex,axiom, % 186.31/186.30 ! [V_f_2,V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_R_2) % 186.31/186.30 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__pair__less,axiom, % 186.31/186.30 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 186.31/186.30 % 186.31/186.30 fof(fact_max__ext__wf,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__less,axiom, % 186.31/186.30 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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__irrefl,axiom, % 186.31/186.30 ! [V_a_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ~ hBOOL(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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__asym,axiom, % 186.31/186.30 ! [V_x_2,V_a_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ( hBOOL(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)) % 186.31/186.30 => ~ hBOOL(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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__not__sym,axiom, % 186.31/186.30 ! [V_x_2,V_a_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ( hBOOL(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)) % 186.31/186.30 => ~ hBOOL(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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__not__refl,axiom, % 186.31/186.30 ! [V_a_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ~ hBOOL(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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__int__ge__less__than,axiom, % 186.31/186.30 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__int__ge__less__than2,axiom, % 186.31/186.30 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc__wfD,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__acc__iff,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__no__loop,axiom, % 186.31/186.30 ! [V_R_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__union__merge,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 <=> ~ ? [B_f] : % 186.31/186.30 ! [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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfE__pf,axiom, % 186.31/186.30 ! [V_A_2,V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_R_2) % 186.31/186.30 => ( 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))) % 186.31/186.30 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__union__compatible,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_R_2) % 186.31/186.30 => ( c_Wellfounded_Owf(T_b,V_S_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf,axiom, % 186.31/186.30 ! [T_b] : % 186.31/186.30 ( class_Orderings_Owellorder(T_b) % 186.31/186.30 => 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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reduction__pair__def,axiom, % 186.31/186.30 ! [V_Pa_2,T_b] : % 186.31/186.30 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 186.31/186.30 <=> ( 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)) % 186.31/186.30 & 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reduction__pair__lemma,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 186.31/186.30 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 186.31/186.30 => ( 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))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => ( c_Wellfounded_Owf(T_b,V_S_2) % 186.31/186.30 => 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)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__lenlex,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__if__measure,axiom, % 186.31/186.30 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 186.31/186.30 ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.30 => 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))) ) % 186.31/186.30 => 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))))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_max__ext_Ointros,axiom, % 186.31/186.30 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 186.31/186.30 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 186.31/186.30 => ? [B_xa] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 186.31/186.30 & 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)) ) ) % 186.31/186.30 => 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))) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pred__nat__def,axiom, % 186.31/186.30 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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__lex,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__lexn,axiom, % 186.31/186.30 ! [V_n_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_lex__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_lexn_Osimps_I1_J,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__pred__nat,axiom, % 186.31/186.30 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__same__fst,axiom, % 186.31/186.30 ! [T_b,V_R_2,T_c,V_Pa_2] : % 186.31/186.30 ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.30 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 186.31/186.30 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Nitpick_Ozero__frac__def,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__Inter,axiom, % 186.31/186.30 ! [V_f_2,T_c,T_b,V_S_2] : % 186.31/186.30 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 186.31/186.30 => ( ! [B_A] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Nitpick_Oone__frac__def,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Nitpick_Ofrac__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Collect__split,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__elem__def,axiom, % 186.31/186.30 ! [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))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__def,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_OwfP(T_b,V_r_2) % 186.31/186.30 <=> 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__empty,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_RangeI,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__accp__iff,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_OwfP(T_b,V_r_2) % 186.31/186.30 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_accp__wfPD,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_OwfP(T_b,V_r_2) % 186.31/186.30 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__eq__trivial,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__sym__eq__trivial,axiom, % 186.31/186.30 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Id__on,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__subset,axiom, % 186.31/186.30 ! [V_p_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_OwfP(T_b,V_r_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Diff__subset,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Union,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__empty,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__empty__iff,axiom, % 186.31/186.30 ! [V_r_2,T_b,T_c] : % 186.31/186.30 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Un__eq,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__Range,axiom, % 186.31/186.30 ! [V_r_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_snd__eq__Range,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_split__paired__The,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_The__split__eq,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__iff,axiom, % 186.31/186.30 ! [V_r_2,T_c,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 186.31/186.30 <=> ? [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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__into__def,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fold__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__insert,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_divmod__nat__def,axiom, % 186.31/186.30 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Int__subset,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fold1__def,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_The__split,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__in__rel,axiom, % 186.31/186.30 ! [V_R_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_R_2) % 186.31/186.30 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__wf__eq,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_RangeP__Range__eq,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_flat__lub__def,axiom, % 186.31/186.30 ! [V_b_2,V_A_2,T_b] : % 186.31/186.30 ( ( 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))))) % 186.31/186.30 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 186.31/186.30 & ( ~ 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))))) % 186.31/186.30 => 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)))))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_RangeE,axiom, % 186.31/186.30 ! [V_r_2,T_c,V_b_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 186.31/186.30 => ~ ! [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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_RangeP_Ointros,axiom, % 186.31/186.30 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 186.31/186.30 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_RangeP_Oequations,axiom, % 186.31/186.30 ! [V_a2_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 186.31/186.30 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__vimage__singleton,axiom, % 186.31/186.30 ! [V_a_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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))))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__acyclicP,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_OwfP(T_b,V_r_2) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__Un,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ( c_Wellfounded_Owf(T_b,V_s_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimageI,axiom, % 186.31/186.30 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 186.31/186.30 ( hAPP(V_f_2,V_a_2) = V_b_2 % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_DomainI,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__UN,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Diff,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Un,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__mono,axiom, % 186.31/186.30 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimageI2,axiom, % 186.31/186.30 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimageD,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__eq,axiom, % 186.31/186.30 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__ident,axiom, % 186.31/186.30 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__INT,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Int,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Compl,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__code,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 186.31/186.30 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Id__on,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__UNIV,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acyclic__subset,axiom, % 186.31/186.30 ! [V_r_2,V_s_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__acyclic,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Collect__eq,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__empty,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__vimage__subset,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_surj__image__vimage__eq,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_b,T_c] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__empty,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__empty__iff,axiom, % 186.31/186.30 ! [V_r_2,T_c,T_b] : % 186.31/186.30 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__mono,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Un__eq,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__Domain,axiom, % 186.31/186.30 ! [V_r_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fst__eq__Domain,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Union,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__singleton__eq,axiom, % 186.31/186.30 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 186.31/186.30 ( 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)))))) % 186.31/186.30 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__insert,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__vimageD,axiom, % 186.31/186.30 ! [V_F_2,V_h_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 186.31/186.30 => ( 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)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__subsetD,axiom, % 186.31/186.30 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__vimage__eq,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__vimageI,axiom, % 186.31/186.30 ! [V_h_2,T_c,V_F_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__vimage__image__eq,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__const,axiom, % 186.31/186.30 ! [T_c,V_A_2,V_c_2,T_b] : % 186.31/186.30 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.31/186.30 => 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)) ) % 186.31/186.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__eq__UN,axiom, % 186.31/186.30 ! [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))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__iff,axiom, % 186.31/186.30 ! [V_r_2,T_c,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 186.31/186.30 <=> ? [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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__insert,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__iff__acyclic__if__finite,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 186.31/186.30 => ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__acyclic__wf,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 186.31/186.30 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Int__subset,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__subsetI,axiom, % 186.31/186.30 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Diff__subset,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Field__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__if,axiom, % 186.31/186.30 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 186.31/186.30 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.31/186.30 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 186.31/186.30 => 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)) ) % 186.31/186.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 186.31/186.30 => 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 ) ) ) % 186.31/186.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 186.31/186.30 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 186.31/186.30 => 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) ) % 186.31/186.30 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 186.31/186.30 => 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)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Union,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Collect__split,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_DomainP__Domain__eq,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Nitpick_Owf_H__def,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Nitpick_Owf_H(T_b,V_r_2) % 186.31/186.30 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 186.31/186.30 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 186.31/186.30 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_DomainE,axiom, % 186.31/186.30 ! [V_r_2,T_c,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 186.31/186.30 => ~ ! [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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_DomainP_Ointros,axiom, % 186.31/186.30 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 186.31/186.30 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_DomainP_Oequations,axiom, % 186.31/186.30 ! [V_a1_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 186.31/186.30 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__split__eq__Sigma,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Rep__Integ__cases,axiom, % 186.31/186.30 ! [V_y_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 186.31/186.30 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Rep__Integ__induct,axiom, % 186.31/186.30 ! [V_Pa_2,V_y_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 186.31/186.30 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_SigmaI,axiom, % 186.31/186.30 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Union,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Times__eq__cancel2,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 186.31/186.30 => ( 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)) % 186.31/186.30 <=> V_A_2 = V_B_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__empty1,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__cartesian__product,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__cartesian__product,axiom, % 186.31/186.30 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__empty2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Times__empty,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Compl__Times__UNIV2,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Compl__Times__UNIV1,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setprod__cartesian__product,axiom, % 186.31/186.30 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_b) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Un__distrib1,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Times__Un__distrib1,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Un__distrib2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__comp__subset__Sigma,axiom, % 186.31/186.30 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)))) % 186.31/186.30 => ( 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)))) % 186.31/186.30 => 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)))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_swap__product,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__cartesian__product,axiom, % 186.31/186.30 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.31/186.30 => 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)))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_equiv__type,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.30 => 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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Int__distrib2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Times__Int__distrib1,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Int__distrib1,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Id__on__subset__Times,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Diff__distrib2,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Times__Diff__distrib1,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__Diff__distrib1,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_UNIV__Times__UNIV,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_mem__Sigma__iff,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.30 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_SigmaD1,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_SigmaD2,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_SigmaE2,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.30 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__cartesian__product__singleton,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Times__subset__cancel2,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 186.31/186.30 => ( 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)))) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Image__subset,axiom, % 186.31/186.30 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)))) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__cartesian__productD1,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.30 ( 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)))) % 186.31/186.30 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__cartesian__productD2,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,T_c,T_b] : % 186.31/186.30 ( 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)))) % 186.31/186.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Collect__split,axiom, % 186.31/186.30 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_SetCompr__Sigma__eq,axiom, % 186.31/186.30 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Qa_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fst__image__times,axiom, % 186.31/186.30 ! [V_A_2,T_c,T_b,V_B_2] : % 186.31/186.30 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => 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)) ) % 186.31/186.30 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => 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 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_snd__image__times,axiom, % 186.31/186.30 ! [V_B_2,T_c,T_b,V_A_2] : % 186.31/186.30 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => 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)) ) % 186.31/186.30 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => 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 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_insert__times__insert,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__equiv__class,axiom, % 186.31/186.30 ! [V_X_2,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( 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)))) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_UN__Times__distrib,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__def,axiom, % 186.31/186.30 ! [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))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__quotient,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( 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)))) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__mult__setsum__if__inj,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.30 ( class_Rings_Osemiring__0(T_d) % 186.31/186.30 => ( 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))) % 186.31/186.30 => 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))))))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 186.31/186.30 ! [V_A_2,V_I_2,T_c,T_b] : % 186.31/186.30 ? [B_f] : % 186.31/186.30 ( 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)) % 186.31/186.30 & 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fold__image__Sigma,axiom, % 186.31/186.30 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_d) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__id,axiom, % 186.31/186.30 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__id,axiom, % 186.31/186.30 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__id,axiom, % 186.31/186.30 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 186.31/186.30 % 186.31/186.30 fof(fact_apfst__id,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_apsnd__id,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_id__apply,axiom, % 186.31/186.30 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 186.31/186.30 % 186.31/186.30 fof(fact_id__def,axiom, % 186.31/186.30 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 186.31/186.30 % 186.31/186.30 fof(fact_of__int__eq__id,axiom, % 186.31/186.30 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 186.31/186.30 % 186.31/186.30 fof(fact_surj__id,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_split__Pair,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__reindex__id,axiom, % 186.31/186.30 ! [V_B_2,V_f_2,T_b,T_c] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setprod__reindex__id,axiom, % 186.31/186.30 ! [V_B_2,V_f_2,T_b,T_c] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setprod__Sigma,axiom, % 186.31/186.30 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_d) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__Sigma,axiom, % 186.31/186.30 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_d) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_card__SigmaI,axiom, % 186.31/186.30 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__SigmaI,axiom, % 186.31/186.30 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ! [B_a] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_SigmaE,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => ~ ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => ! [B_y] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 186.31/186.30 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__surj,axiom, % 186.31/186.30 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__imageI,axiom, % 186.31/186.30 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fst__map__pair,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_snd__prod__fun,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__simp,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__ident,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair_Oidentity,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_apfst__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_apsnd__def,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair_Oid,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__surj__on,axiom, % 186.31/186.30 ! [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] : % 186.31/186.30 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 186.31/186.30 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__map__pair__image,axiom, % 186.31/186.30 ! [V_f_2,T_c,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__inj__on,axiom, % 186.31/186.30 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_prod__fun__imageE,axiom, % 186.31/186.30 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => ~ ! [B_x,B_y] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ~ 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__def,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 <=> ( 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)))) % 186.31/186.30 & ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__INTER,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 186.31/186.30 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => ( ! [B_i] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 186.31/186.30 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__Id__on,axiom, % 186.31/186.30 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__empty,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__Un,axiom, % 186.31/186.30 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__Int,axiom, % 186.31/186.30 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__onD,axiom, % 186.31/186.30 ! [V_a_2,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.31/186.30 => hBOOL(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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__onD2,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 => ( hBOOL(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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__onD1,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 => ( hBOOL(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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reflp__def,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Predicate_Oreflp(T_b,V_r_2) % 186.31/186.30 <=> 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__onI,axiom, % 186.31/186.30 ! [V_A_2,V_r_2,T_b] : % 186.31/186.30 ( 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)))) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => 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)) ) % 186.31/186.30 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pigeonhole__infinite,axiom, % 186.31/186.30 ! [V_f_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.31/186.30 => ? [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reflpE,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_b] : % 186.31/186.30 ( c_Predicate_Oreflp(T_b,V_r_2) % 186.31/186.30 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__def_H,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 <=> ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 186.31/186.30 => 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)) ) % 186.31/186.30 & ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Abs__Integ__induct,axiom, % 186.31/186.30 ! [V_x_2,V_Pa_2] : % 186.31/186.30 ( ! [B_y] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Abs__Integ__cases,axiom, % 186.31/186.30 ! [V_x_2] : % 186.31/186.30 ~ ! [B_y] : % 186.31/186.30 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 186.31/186.30 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_INFI__bool__eq,axiom, % 186.31/186.30 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 186.31/186.30 % 186.31/186.30 fof(fact_ball__empty,axiom, % 186.31/186.30 ! [V_Pa_2,T_b,B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Powp__def,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 186.31/186.30 <=> ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 186.31/186.30 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Collect__ball__eq,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_congruent__def,axiom, % 186.31/186.30 ! [V_f_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 186.31/186.30 <=> ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_INTER__def,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Inf__Sup,axiom, % 186.31/186.30 ! [V_A_2,T_b] : % 186.31/186.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.30 => 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))))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sup__Inf,axiom, % 186.31/186.30 ! [V_A_2,T_b] : % 186.31/186.30 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.30 => 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)))))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__UN__I,axiom, % 186.31/186.30 ! [V_B_2,T_c,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ! [B_a] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 186.31/186.30 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__diff__nat,axiom, % 186.31/186.30 ! [V_k_2,V_N_2] : % 186.31/186.30 ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 186.31/186.30 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfP__SUP,axiom, % 186.31/186.30 ! [T_b,V_r_2,T_c] : % 186.31/186.30 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 186.31/186.30 => ( ! [B_i,B_j] : % 186.31/186.30 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 186.31/186.30 => 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)) ) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Inter__eq,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_mem__splitI2,axiom, % 186.31/186.30 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 186.31/186.30 ( ! [B_a,B_b] : % 186.31/186.30 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_mem__splitE,axiom, % 186.31/186.30 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => ~ ! [B_x,B_y] : % 186.31/186.30 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 186.31/186.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__Times,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair_Ocomp,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair__compose,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_map__pair_Ocompositionality,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_comp__surj,axiom, % 186.31/186.30 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_image__compose,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_comp__inj__on__iff,axiom, % 186.31/186.30 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 <=> 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_comp__inj__on,axiom, % 186.31/186.30 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__imageI,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 186.31/186.30 ( 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) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__on__imageI2,axiom, % 186.31/186.30 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 186.31/186.30 ( 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) % 186.31/186.30 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_inj__comp,axiom, % 186.31/186.30 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.30 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_K__record__comp,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 186.31/186.30 ! [V_x_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 186.31/186.30 => 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) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__eq__elim,axiom, % 186.31/186.30 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 186.31/186.30 ( 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) % 186.31/186.30 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__eq__dest,axiom, % 186.31/186.30 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 186.31/186.30 ( 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) % 186.31/186.30 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__apply,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__assoc,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__eq__dest__lhs,axiom, % 186.31/186.30 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 186.31/186.30 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 186.31/186.30 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_comp__cong,axiom, % 186.31/186.30 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 186.31/186.30 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2)) % 186.31/186.30 => 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) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fun__upd__comp,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_apsnd__compose,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_apfst__compose,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_vimage__compose,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__id,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_id__o,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_o__eq__id__dest,axiom, % 186.31/186.30 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 186.31/186.30 ( 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) % 186.31/186.30 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__reindex,axiom, % 186.31/186.30 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_d) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setprod__reindex,axiom, % 186.31/186.30 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_d) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setprod__reindex__cong,axiom, % 186.31/186.30 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_d) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 186.31/186.30 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 186.31/186.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum_Oreindex,axiom, % 186.31/186.30 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setprod_Oreindex,axiom, % 186.31/186.30 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_c) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_the__inv__into__comp,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 186.31/186.30 => ( 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)))) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fold__image__reindex,axiom, % 186.31/186.30 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 186.31/186.30 ( class_Groups_Oab__semigroup__mult(T_d) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Oremove,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__image_Oreindex,axiom, % 186.31/186.30 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.30 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ounion,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.30 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 => 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)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_fst__comp__map__pair,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_UN__o,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__left__comp,axiom, % 186.31/186.30 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__comp,axiom, % 186.31/186.30 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 186.31/186.30 ! [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] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 186.31/186.30 => 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) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_snd__comp__map__pair,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__image_Odistrib,axiom, % 186.31/186.30 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_split__comp,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 186.31/186.30 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__comp_H_H,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__left__comp_H,axiom, % 186.31/186.30 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ocommute__comp_H,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Oempty,axiom, % 186.31/186.30 ! [V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Oeq__fold,axiom, % 186.31/186.30 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__image_Oeq__fold,axiom, % 186.31/186.30 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.31/186.30 => 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) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Oinsert,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Ounion__inter,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding_Oinsert__remove,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__reindex__nonzero,axiom, % 186.31/186.30 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_d) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.31/186.30 => ! [B_y] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 186.31/186.30 => ( B_x != B_y % 186.31/186.30 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 186.31/186.30 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__idem_Ounion__idem,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.31/186.30 => 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)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__idem_Oidem__left__comp,axiom, % 186.31/186.30 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => 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) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__idem_Oidem__comp,axiom, % 186.31/186.30 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => 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) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__idem_Oin__comp__idem,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.30 => 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) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_folding__idem_Oinsert__idem,axiom, % 186.31/186.30 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 186.31/186.30 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 186.31/186.30 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_strong__setprod__reindex__cong,axiom, % 186.31/186.30 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__mult(T_d) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => 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) ) % 186.31/186.30 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Eps__split,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wfI__pf,axiom, % 186.31/186.30 ! [V_R_2,T_b] : % 186.31/186.30 ( ! [B_A] : % 186.31/186.30 ( 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))) % 186.31/186.30 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 186.31/186.30 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_tfl__some,axiom, % 186.31/186.30 ! [T_b,B_P] : % 186.31/186.30 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 186.31/186.30 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_someI,axiom, % 186.31/186.30 ! [T_b,V_x_2,V_Pa_2] : % 186.31/186.30 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_some__sym__eq__trivial,axiom, % 186.31/186.30 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 186.31/186.30 % 186.31/186.30 fof(fact_some__eq__trivial,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_some__eq__ex,axiom, % 186.31/186.30 ! [T_b,V_Pa_2] : % 186.31/186.30 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 186.31/186.30 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_someI__ex,axiom, % 186.31/186.30 ! [T_b,V_Pa_2] : % 186.31/186.30 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_exE__some,axiom, % 186.31/186.30 ! [T_b,V_c_2,V_Pa_2] : % 186.31/186.30 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.30 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 186.31/186.30 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_split__paired__Eps,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Eps__split__eq,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Sigma__mono,axiom, % 186.31/186.30 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 186.31/186.30 => ( ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => 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))) ) % 186.31/186.30 => 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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_not__acc__down,axiom, % 186.31/186.30 ! [V_R_2,V_x_2,T_b] : % 186.31/186.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 186.31/186.30 => ~ ! [B_z] : % 186.31/186.30 ( 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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc_OaccI,axiom, % 186.31/186.30 ! [V_r_2,V_x_2,T_b] : % 186.31/186.30 ( ! [B_y] : % 186.31/186.30 ( 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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_max__ext_Osimps,axiom, % 186.31/186.30 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 186.31/186.30 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 186.31/186.30 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.30 & ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 186.31/186.30 => ? [B_xa] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 186.31/186.30 & 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)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__no__infinite__down__chainE,axiom, % 186.31/186.30 ! [V_f_2,V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => ~ ! [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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_iterate_Osimps,axiom, % 186.31/186.30 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 186.31/186.30 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.30 => 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) ) % 186.31/186.30 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_setsum__reindex__cong,axiom, % 186.31/186.30 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 186.31/186.30 ( class_Groups_Ocomm__monoid__add(T_d) % 186.31/186.30 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.31/186.30 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 186.31/186.30 => ( ! [B_a] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 186.31/186.30 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 186.31/186.30 => 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) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_scomp__apply,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Pair__scomp,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_scomp__scomp,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_scomp__Pair,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_scomp__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_scomp__unfold,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_less__eq,axiom, % 186.31/186.30 ! [V_n_2,V_m_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__eq__minimal,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 <=> ! [B_Q] : % 186.31/186.30 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 186.31/186.30 => ? [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 186.31/186.30 & ! [B_y] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__trancl,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_less__than__def,axiom, % 186.31/186.30 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acyclic__def,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 186.31/186.30 <=> ! [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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl_Or__into__trancl,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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)) % 186.31/186.30 => hBOOL(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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__subset__Field2,axiom, % 186.31/186.30 ! [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))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_r__into__trancl_H,axiom, % 186.31/186.30 ! [V_r_2,V_p_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__empty,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__domain,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__range,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__trancl,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 186.31/186.30 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_r__r__into__trancl,axiom, % 186.31/186.30 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__into__trancl2,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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)) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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)) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__trans,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__mono,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,V_p_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 186.31/186.30 => ( 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)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__unfold,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__subset__Sigma,axiom, % 186.31/186.30 ! [V_A_2,V_r_2,T_b] : % 186.31/186.30 ( 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)))) % 186.31/186.30 => 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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__Int__subset,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__insert,axiom, % 186.31/186.30 ! [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)))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reflcl__set__eq,axiom, % 186.31/186.30 ! [V_y_2,V_x_2,V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> hBOOL(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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_r__into__rtrancl,axiom, % 186.31/186.30 ! [V_r_2,V_p_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl_Ortrancl__refl,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_IdI,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__into__rtrancl,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => hBOOL(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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__rtrancl__absorb,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__trancl__absorb,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_reflcl__trancl,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__reflcl,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__unfold__right,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__unfold__left,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__r__diff__Id,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__Int__subset,axiom, % 186.31/186.30 ! [V_r_2,V_s_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_r__comp__rtrancl__eq,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__idemp__self__comp,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__unfold,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__Un__subset,axiom, % 186.31/186.30 ! [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)))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__reflcl,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__Un__rtrancl,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__reflcl__absorb,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__subset__rtrancl,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__subset,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( 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))) % 186.31/186.30 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__mono,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Image__closed__trancl,axiom, % 186.31/186.30 ! [V_X_2,V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_in__rtrancl__UnI,axiom, % 186.31/186.30 ! [V_S_2,V_R_2,V_x_2,T_b] : % 186.31/186.30 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 186.31/186.30 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 186.31/186.30 => 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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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)) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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)) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__trans,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__idemp,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__empty,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__rtrancl,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__rtrancl,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__rtrancl,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Image__Id,axiom, % 186.31/186.30 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 186.31/186.30 % 186.31/186.30 fof(fact_Id__O__R,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_R__O__Id,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_pair__in__Id__conv,axiom, % 186.31/186.30 ! [V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 <=> V_a_2 = V_b_2 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__eq__or__trancl,axiom, % 186.31/186.30 ! [V_R_2,V_y_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 <=> ( V_x_2 = V_y_2 % 186.31/186.30 | ( V_x_2 != V_y_2 % 186.31/186.30 & hBOOL(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))) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__into__trancl2,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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)) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtranclD,axiom, % 186.31/186.30 ! [V_R_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( V_a_2 = V_b_2 % 186.31/186.30 | ( V_a_2 != V_b_2 % 186.31/186.30 & hBOOL(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))) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__into__trancl1,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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)) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__rtrancl__trancl,axiom, % 186.31/186.30 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__trancl__trancl,axiom, % 186.31/186.30 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__Id,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__Id,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__Id,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pair__leq__def,axiom, % 186.31/186.30 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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Not__Domain__rtrancl,axiom, % 186.31/186.30 ! [V_y_2,V_R_2,V_x_2,T_b] : % 186.31/186.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 186.31/186.30 => ( hBOOL(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))) % 186.31/186.30 <=> V_x_2 = V_y_2 ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc__downwards__aux,axiom, % 186.31/186.30 ! [V_r_2,V_a_2,V_b_2,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acc__downwards,axiom, % 186.31/186.30 ! [V_b_2,V_r_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 186.31/186.30 => ( 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))) % 186.31/186.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__insert,axiom, % 186.31/186.30 ! [V_r_2,V_x_2,V_y_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 186.31/186.30 & ~ hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acyclic__insert,axiom, % 186.31/186.30 ! [V_r_2,V_x_2,V_y_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 186.31/186.30 & ~ hBOOL(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))) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__reflcl,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Id__def,axiom, % 186.31/186.30 ! [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))))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_irrefl__diff__Id,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_pred__nat__trancl__eq__le,axiom, % 186.31/186.30 ! [V_n_2,V_m_2] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 186.31/186.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__subset__Sigma__aux,axiom, % 186.31/186.30 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.30 ( hBOOL(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))) % 186.31/186.30 => ( 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)))) % 186.31/186.30 => ( V_a_2 = V_b_2 % 186.31/186.30 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_irrefl__tranclI,axiom, % 186.31/186.30 ! [V_x_2,V_r_2,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ~ hBOOL(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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_sequence__trans,axiom, % 186.31/186.30 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 186.31/186.30 ( ! [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))) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__converse,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__Id,axiom, % 186.31/186.30 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__INTER,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__UNION,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__iff,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 <=> 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converseI,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converseD,axiom, % 186.31/186.30 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__rel__comp,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__Un,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Field__converse,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__inv__image,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__converse,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__Int,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__converse,axiom, % 186.31/186.30 ! [V_r_2,T_c,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 186.31/186.30 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__Id__on,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acyclic__converse,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.31/186.30 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__converse,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.31/186.30 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__converse,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__converse__trancl,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.31/186.30 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_equiv__comp__eq,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.30 => 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 ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__converse,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Domain__converse,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Range__def,axiom, % 186.31/186.30 ! [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)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__converseD,axiom, % 186.31/186.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(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)))) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__converseI,axiom, % 186.31/186.30 ! [V_r_2,V_x_2,V_y_2,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 => hBOOL(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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__converseD,axiom, % 186.31/186.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(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)))) % 186.31/186.30 => hBOOL(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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_trancl__converseI,axiom, % 186.31/186.30 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.30 ( hBOOL(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)))) % 186.31/186.30 => hBOOL(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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Image__subset__eq,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 <=> 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))))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_refl__on__comp__subset,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.30 => 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))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_comp__equivI,axiom, % 186.31/186.30 ! [V_A_2,V_r_2,T_b] : % 186.31/186.30 ( 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 % 186.31/186.30 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 186.31/186.30 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_finite__acyclic__wf__converse,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 186.31/186.30 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 186.31/186.30 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_converse__def,axiom, % 186.31/186.30 ! [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))) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Image__INT__eq,axiom, % 186.31/186.30 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 186.31/186.30 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_total__on__diff__Id,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( 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))) % 186.31/186.30 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__Id,axiom, % 186.31/186.30 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__rel__comp,axiom, % 186.31/186.30 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 186.31/186.30 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 186.31/186.30 => 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)) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__subset,axiom, % 186.31/186.30 ! [V_s_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 186.31/186.30 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__Id__on,axiom, % 186.31/186.30 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_total__on__empty,axiom, % 186.31/186.30 ! [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) ). % 186.31/186.30 % 186.31/186.30 fof(fact_total__on__converse,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.31/186.30 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valuedD,axiom, % 186.31/186.30 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 186.31/186.30 => ( 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)) % 186.31/186.30 => ( 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)) % 186.31/186.30 => V_y_2 = V_z_2 ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__def,axiom, % 186.31/186.30 ! [V_r_2,T_c,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 186.31/186.30 <=> ! [B_x,B_y] : % 186.31/186.30 ( 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)) % 186.31/186.30 => ! [B_z] : % 186.31/186.30 ( 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)) % 186.31/186.30 => B_y = B_z ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_total__on__def,axiom, % 186.31/186.30 ! [V_r_2,V_A_2,T_b] : % 186.31/186.30 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 186.31/186.30 <=> ! [B_x] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.30 => ! [B_xa] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 186.31/186.30 => ( B_x != B_xa % 186.31/186.30 => ( 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)) % 186.31/186.30 | 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)) ) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__confluent,axiom, % 186.31/186.30 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 186.31/186.30 => ( hBOOL(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))) % 186.31/186.30 => ( hBOOL(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))) % 186.31/186.30 => ( 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))) % 186.31/186.30 | 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))) ) ) ) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_Image__Int__eq,axiom, % 186.31/186.30 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 186.31/186.30 => 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)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 186.31/186.30 ! [V_R_2,V_p_2,T_b] : % 186.31/186.30 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 186.31/186.30 => 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)))) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_acyclicI,axiom, % 186.31/186.30 ! [V_r_2,T_b] : % 186.31/186.30 ( ! [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))) % 186.31/186.30 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_single__valued__rel__pow,axiom, % 186.31/186.30 ! [V_n_2,V_R_2,T_b] : % 186.31/186.30 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 186.31/186.30 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_funpow__swap1,axiom, % 186.31/186.30 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_funpow__mult,axiom, % 186.31/186.30 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 186.31/186.30 % 186.31/186.30 fof(fact_wf__exp,axiom, % 186.31/186.30 ! [V_R_2,V_n_2,T_b] : % 186.31/186.30 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) % 186.31/186.30 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 186.31/186.30 % 186.31/186.30 fof(fact_comp__funpow,axiom, % 186.31/186.30 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ). % 186.31/186.30 % 186.31/186.30 fof(fact_rel__pow__1,axiom, % 186.31/186.30 ! [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 ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__commute,axiom, % 186.31/186.31 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__power,axiom, % 186.31/186.31 ! [V_R_2,V_p_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 186.31/186.31 <=> ? [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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__imp__rtrancl,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_p_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_relpow_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__add,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_relpow_Osimps_I1_J,axiom, % 186.31/186.31 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__0__E,axiom, % 186.31/186.31 ! [V_R_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 186.31/186.31 => V_x_2 = V_y_2 ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__0__I,axiom, % 186.31/186.31 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__Suc__I2,axiom, % 186.31/186.31 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__Suc__I,axiom, % 186.31/186.31 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_funpow_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_funpow__add,axiom, % 186.31/186.31 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_funpow_Osimps_I1_J,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_trancl__power,axiom, % 186.31/186.31 ! [V_R_2,V_p_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 186.31/186.31 <=> ? [B_n] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 186.31/186.31 & 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))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_funpow__code__def,axiom, % 186.31/186.31 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__E2,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 186.31/186.31 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => V_x_2 != V_z_2 ) % 186.31/186.31 => ~ ! [B_y,B_m] : % 186.31/186.31 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__E,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 186.31/186.31 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => V_x_2 != V_z_2 ) % 186.31/186.31 => ~ ! [B_y,B_m] : % 186.31/186.31 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__Un__separatorE,axiom, % 186.31/186.31 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2)))) % 186.31/186.31 => ( ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 186.31/186.31 => ! [B_y] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Qa_2)) % 186.31/186.31 => B_x = B_y ) ) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__Un__separator__converseE,axiom, % 186.31/186.31 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2)))) % 186.31/186.31 => ( ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) % 186.31/186.31 => ! [B_y] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Qa_2)) % 186.31/186.31 => B_y = B_x ) ) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__Suc__D2,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 186.31/186.31 => ? [B_y] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__Suc__E,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 186.31/186.31 => ~ ! [B_y] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__pow__Suc__E2,axiom, % 186.31/186.31 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 186.31/186.31 => ~ ! [B_y] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_tranclD,axiom, % 186.31/186.31 ! [V_R_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 186.31/186.31 => ? [B_z] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2)) % 186.31/186.31 & 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))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_tranclD2,axiom, % 186.31/186.31 ! [V_R_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 186.31/186.31 => ? [B_z] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 186.31/186.31 & 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_IdE,axiom, % 186.31/186.31 ! [V_p_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 186.31/186.31 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_transfer__nat__int__set__cong,axiom, % 186.31/186.31 ! [V_P_H_2,V_Pa_2] : % 186.31/186.31 ( ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 186.31/186.31 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.31 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 186.31/186.31 => 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)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_converseE,axiom, % 186.31/186.31 ! [V_r_2,V_yx_2,T_c,T_b] : % 186.31/186.31 ( 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))) % 186.31/186.31 => ~ ! [B_x,B_y] : % 186.31/186.31 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 186.31/186.31 => ~ 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rel__compE,axiom, % 186.31/186.31 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 186.31/186.31 ( 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))) % 186.31/186.31 => ~ ! [B_x,B_y,B_z] : % 186.31/186.31 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 186.31/186.31 => ( 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)) % 186.31/186.31 => ~ 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)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Oplus__frac__def,axiom, % 186.31/186.31 ! [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))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_internal__split__def,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_internal__split__conv,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Otimes__frac__def,axiom, % 186.31/186.31 ! [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))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Oof__frac__def,axiom, % 186.31/186.31 ! [V_q,T_a,T_b] : % 186.31/186.31 ( ( class_Rings_Oinverse(T_b) % 186.31/186.31 & class_Rings_Oring__1(T_b) ) % 186.31/186.31 => 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 186.31/186.31 ! [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))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Oless__frac__def,axiom, % 186.31/186.31 ! [V_r_2,V_q_2,T_b] : % 186.31/186.31 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 186.31/186.31 <=> 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 186.31/186.31 ! [V_r_2,V_q_2,T_b] : % 186.31/186.31 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 186.31/186.31 <=> 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Odenom__def,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Onum__def,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_bool_Osize_I2_J,axiom, % 186.31/186.31 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.31 % 186.31/186.31 fof(fact_bool_Osize_I1_J,axiom, % 186.31/186.31 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.31 % 186.31/186.31 fof(fact_finite__less__ub,axiom, % 186.31/186.31 ! [V_u_2,V_f_2] : % 186.31/186.31 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 186.31/186.31 => 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)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lenlex__def,axiom, % 186.31/186.31 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexn__length,axiom, % 186.31/186.31 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2))) % 186.31/186.31 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 186.31/186.31 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_neq__if__length__neq,axiom, % 186.31/186.31 ! [V_ys,V_xs,T_a] : % 186.31/186.31 ( 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) % 186.31/186.31 => V_xs != V_ys ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lenlex__conv,axiom, % 186.31/186.31 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__sublist,axiom, % 186.31/186.31 ! [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)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexn_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_impossible__Cons,axiom, % 186.31/186.31 ! [V_x,V_ys,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys))) % 186.31/186.31 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_not__Cons__self,axiom, % 186.31/186.31 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 186.31/186.31 % 186.31/186.31 fof(fact_not__Cons__self2,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Oinject,axiom, % 186.31/186.31 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2) % 186.31/186.31 <=> ( V_a_2 = V_a_H_2 % 186.31/186.31 & V_list_2 = V_list_H_2 ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osize_I4_J,axiom, % 186.31/186.31 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Cons__in__lex,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2))) % 186.31/186.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 186.31/186.31 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) % 186.31/186.31 | ( V_x_2 = V_y_2 % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__Cons__def,axiom, % 186.31/186.31 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_pick_Osimps,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_i] : % 186.31/186.31 ( ( 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))) % 186.31/186.31 => 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) ) % 186.31/186.31 & ( ~ 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))) % 186.31/186.31 => 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))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_select__weight__cons__zero,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__cons__cons,axiom, % 186.31/186.31 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) % 186.31/186.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 186.31/186.31 | ( V_a_2 = V_b_2 % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__lex,axiom, % 186.31/186.31 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2))) % 186.31/186.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 186.31/186.31 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osize_I2_J,axiom, % 186.31/186.31 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Cons__acc__listrel1I,axiom, % 186.31/186.31 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1__mono,axiom, % 186.31/186.31 ! [V_s_2,V_r_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1__converse,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 186.31/186.31 ! [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)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 186.31/186.31 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1I2,axiom, % 186.31/186.31 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__listrel1__eq__len,axiom, % 186.31/186.31 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 186.31/186.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1__eq__len,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__listrel1__converse,axiom, % 186.31/186.31 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 186.31/186.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Cons__listrel1__Cons,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 186.31/186.31 & V_xs_2 = V_ys_2 ) % 186.31/186.31 | ( V_x_2 = V_y_2 % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1I1,axiom, % 186.31/186.31 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__Cons,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__linear,axiom, % 186.31/186.31 ! [V_y_2,V_x_2,V_r_2,T_b] : % 186.31/186.31 ( ! [B_a,B_b] : % 186.31/186.31 ( 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)) % 186.31/186.31 | B_a = B_b % 186.31/186.31 | 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)) ) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 186.31/186.31 | V_x_2 = V_y_2 % 186.31/186.31 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__rtrancl__refl,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__mono,axiom, % 186.31/186.31 ! [V_s_2,V_r_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 186.31/186.31 ! [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)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__eq__len,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__rtrancl__trans,axiom, % 186.31/186.31 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__reflcl__if__listrel1,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1__subset__listrel,axiom, % 186.31/186.31 ! [V_r_H_2,V_r_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 186.31/186.31 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel_OCons,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrelp__listrel__eq,axiom, % 186.31/186.31 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 186.31/186.31 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2) % 186.31/186.31 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__Cons1,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => ~ ! [B_y,B_ys] : % 186.31/186.31 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2)) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrelp_OCons,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 186.31/186.31 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 186.31/186.31 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrelp_Oequations_I2_J,axiom, % 186.31/186.31 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 186.31/186.31 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2)) % 186.31/186.31 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 186.31/186.31 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__Cons2,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => ~ ! [B_x,B_xs] : % 186.31/186.31 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2)) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__subset,axiom, % 186.31/186.31 ! [V_A_2,V_r_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists__UNIV,axiom, % 186.31/186.31 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists__mono,axiom, % 186.31/186.31 ! [V_B_2,V_A_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_equiv__listrel,axiom, % 186.31/186.31 ! [V_r_2,V_A_2,T_b] : % 186.31/186.31 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.31/186.31 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__refl__on,axiom, % 186.31/186.31 ! [V_r_2,V_A_2,T_b] : % 186.31/186.31 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.31/186.31 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Cons__in__lists__iff,axiom, % 186.31/186.31 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2))) % 186.31/186.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists__accD,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists__accI,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__iff__nth,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 186.31/186.31 & ! [B_n] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__irreflexive,axiom, % 186.31/186.31 ! [V_y_2,V_r_2,T_b] : % 186.31/186.31 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_infinite__UNIV__listI,axiom, % 186.31/186.31 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__eq__iff__nth__eq,axiom, % 186.31/186.31 ! [T_b,V_ys_2,V_xs_2] : % 186.31/186.31 ( V_xs_2 = V_ys_2 % 186.31/186.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 186.31/186.31 & ! [B_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__Cons__Suc,axiom, % 186.31/186.31 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__Cons__0,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth_Osimps,axiom, % 186.31/186.31 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__Cons_H,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_n] : % 186.31/186.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 186.31/186.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__Cons__number__of,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_v] : % 186.31/186.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x ) % 186.31/186.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__take__index__conv,axiom, % 186.31/186.31 ! [V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 186.31/186.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))) % 186.31/186.31 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 ) % 186.31/186.31 | ? [B_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))) % 186.31/186.31 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__sublist,axiom, % 186.31/186.31 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_finite__set,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__subset__Cons,axiom, % 186.31/186.31 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__all,axiom, % 186.31/186.31 ! [V_n,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__take__subset__set__take,axiom, % 186.31/186.31 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__take__subset,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__sublist__subset,axiom, % 186.31/186.31 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__take,axiom, % 186.31/186.31 ! [V_xs,T_a,V_n,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__Suc__Cons,axiom, % 186.31/186.31 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__ConsD,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) % 186.31/186.31 => ( V_y_2 = V_x_2 % 186.31/186.31 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__sublistD,axiom, % 186.31/186.31 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__takeD,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_notin__set__sublistI,axiom, % 186.31/186.31 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__take,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__take,axiom, % 186.31/186.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 186.31/186.31 % 186.31/186.31 fof(fact_List_Oset_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sublist__upt__eq__take,axiom, % 186.31/186.31 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_card__length,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_all__set__conv__all__nth,axiom, % 186.31/186.31 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.31 ( ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.31 <=> ! [B_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__size__estimation,axiom, % 186.31/186.31 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__size__estimation_H,axiom, % 186.31/186.31 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__lists__conv__set,axiom, % 186.31/186.31 ! [V_A_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 186.31/186.31 <=> ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__pos__if__in__set,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__conv__nth,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 <=> ? [B_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__mem,axiom, % 186.31/186.31 ! [V_xs_2,T_b,V_n_2] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists__eq__set,axiom, % 186.31/186.31 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__conv__nth,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_finite__lists__length__eq,axiom, % 186.31/186.31 ! [V_n_2,V_A_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_finite__lists__length__le,axiom, % 186.31/186.31 ! [V_n_2,V_A_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__iff__zip,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 186.31/186.31 & ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__zip,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__zip,axiom, % 186.31/186.31 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__zip,axiom, % 186.31/186.31 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__Cons__Cons,axiom, % 186.31/186.31 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__eq__iff__zip__eq,axiom, % 186.31/186.31 ! [T_b,V_ys_2,V_xs_2] : % 186.31/186.31 ( V_xs_2 = V_ys_2 % 186.31/186.31 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 186.31/186.31 & ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__zipE,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 186.31/186.31 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__zip__rightD,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__zip__leftD,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__same,axiom, % 186.31/186.31 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2)))) % 186.31/186.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 & V_a_2 = V_b_2 ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__zip,axiom, % 186.31/186.31 ! [V_ys,T_b,V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys))) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_greaterThanLessThan__upto,axiom, % 186.31/186.31 ! [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)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listsum__setsum__nth,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.31 => 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 186.31/186.31 ! [V_ns_2] : % 186.31/186.31 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 <=> ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 186.31/186.31 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_atLeastAtMost__upto,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__upto,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_elem__le__listsum__nat,axiom, % 186.31/186.31 ! [V_ns,V_k] : % 186.31/186.31 ( 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))) % 186.31/186.31 => 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listsum__simps_I2_J,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : % 186.31/186.31 ( class_Groups_Omonoid__add(T_a) % 186.31/186.31 => 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)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_atLeastLessThan__upto,axiom, % 186.31/186.31 ! [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)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_greaterThanAtMost__upto,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nat__list__def,axiom, % 186.31/186.31 ! [V_l_2] : % 186.31/186.31 ( c_List_Onat__list(V_l_2) % 186.31/186.31 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__size__pointwise,axiom, % 186.31/186.31 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 186.31/186.31 ( ! [B_x] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 186.31/186.31 => 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listsum__update__nat,axiom, % 186.31/186.31 ! [V_n,V_ns,V_k] : % 186.31/186.31 ( 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))) % 186.31/186.31 => 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)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast__take,axiom, % 186.31/186.31 ! [V_xs,T_a,V_n] : % 186.31/186.31 ( 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))) % 186.31/186.31 => 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) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__beyond,axiom, % 186.31/186.31 ! [V_x,V_i,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)) % 186.31/186.31 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__list__update__neq,axiom, % 186.31/186.31 ! [V_x,V_xs,T_a,V_j,V_i] : % 186.31/186.31 ( V_i != V_j % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__id,axiom, % 186.31/186.31 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast__list__update,axiom, % 186.31/186.31 ! [V_x,V_xs,T_a,V_k] : % 186.31/186.31 ( ( 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)) % 186.31/186.31 => 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) ) % 186.31/186.31 & ( 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)) % 186.31/186.31 => 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) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__list__update,axiom, % 186.31/186.31 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__update,axiom, % 186.31/186.31 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_update__zip,axiom, % 186.31/186.31 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__overwrite,axiom, % 186.31/186.31 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__swap,axiom, % 186.31/186.31 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 186.31/186.31 ( V_i != V_i_H % 186.31/186.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__code_I3_J,axiom, % 186.31/186.31 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__code_I2_J,axiom, % 186.31/186.31 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__butlastD,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__update__subsetI,axiom, % 186.31/186.31 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2)) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__update__subset__insert,axiom, % 186.31/186.31 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__list__update__eq,axiom, % 186.31/186.31 ! [V_x,V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__same__conv,axiom, % 186.31/186.31 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 186.31/186.31 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__list__update,axiom, % 186.31/186.31 ! [V_x,V_j,V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => ( ( V_i = V_j % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x ) % 186.31/186.31 & ( V_i != V_j % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__butlast,axiom, % 186.31/186.31 ! [V_xs,T_a,V_n] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => 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) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__butlast,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__update__memI,axiom, % 186.31/186.31 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast__conv__take,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1__iff__update,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 <=> ? [B_y,B_n] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2)) % 186.31/186.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__list__update,axiom, % 186.31/186.31 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__upto,axiom, % 186.31/186.31 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__take,axiom, % 186.31/186.31 ! [V_i,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__sublistI,axiom, % 186.31/186.31 ! [V_I_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__zipI1,axiom, % 186.31/186.31 ! [V_ys,T_b,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__zipI2,axiom, % 186.31/186.31 ! [V_xs,T_b,V_ys,T_a] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 186.31/186.31 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__card,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_card__distinct,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__eq__iff__index__eq,axiom, % 186.31/186.31 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) % 186.31/186.31 <=> V_i_2 = V_j_2 ) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__conv__nth,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 <=> ! [B_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => ! [B_j] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 => ( B_i != B_j % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__listsum__conv__Setsum,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.31 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nitpick_Ocard_H__def,axiom, % 186.31/186.31 ! [V_A_2,T_b] : % 186.31/186.31 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.31 => 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)))) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.31 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__take__lemma,axiom, % 186.31/186.31 ! [V_ys,V_xs,T_a,V_k] : % 186.31/186.31 ( 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))) % 186.31/186.31 => ( 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))) % 186.31/186.31 => ( ! [B_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__remove1__eq,axiom, % 186.31/186.31 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 => 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)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__Cons__number__of,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_v] : % 186.31/186.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 186.31/186.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists_ONil,axiom, % 186.31/186.31 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__Nil2,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__Nil1,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 186.31/186.31 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__butlast,axiom, % 186.31/186.31 ! [T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__remove1,axiom, % 186.31/186.31 ! [V_x,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct_Osimps_I1_J,axiom, % 186.31/186.31 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast_Osimps_I1_J,axiom, % 186.31/186.31 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_x,T_a,V_xs] : % 186.31/186.31 ( ( V_xs = c_List_Olist_ONil(T_a) % 186.31/186.31 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 186.31/186.31 & ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osimps_I3_J,axiom, % 186.31/186.31 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_remove1_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_xs,T_a,V_y,V_x] : % 186.31/186.31 ( ( V_x = V_y % 186.31/186.31 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 186.31/186.31 & ( V_x != V_y % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_upto__empty,axiom, % 186.31/186.31 ! [V_i,V_j] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 186.31/186.31 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__Nil,axiom, % 186.31/186.31 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__eq__Nil,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.31 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__0,axiom, % 186.31/186.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sublist__nil,axiom, % 186.31/186.31 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ). % 186.31/186.31 % 186.31/186.31 fof(fact_remove1__commute,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_remove1_Osimps_I1_J,axiom, % 186.31/186.31 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrelp_Oequations_I1_J,axiom, % 186.31/186.31 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrelp_ONil,axiom, % 186.31/186.31 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__Nil,axiom, % 186.31/186.31 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip_Osimps_I1_J,axiom, % 186.31/186.31 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listsum__simps_I1_J,axiom, % 186.31/186.31 ! [T_a] : % 186.31/186.31 ( class_Groups_Omonoid__add(T_a) % 186.31/186.31 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__0__conv,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osize_I3_J,axiom, % 186.31/186.31 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.31 % 186.31/186.31 fof(fact_List_Oset_Osimps_I1_J,axiom, % 186.31/186.31 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__empty2,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__empty,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osize_I1_J,axiom, % 186.31/186.31 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__code_I1_J,axiom, % 186.31/186.31 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update_Osimps_I1_J,axiom, % 186.31/186.31 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__nonempty,axiom, % 186.31/186.31 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__remove1,axiom, % 186.31/186.31 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 186.31/186.31 ( V_a_2 != V_b_2 % 186.31/186.31 => ( 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)))) % 186.31/186.31 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_notin__set__remove1,axiom, % 186.31/186.31 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => ~ 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)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_remove1__idem,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sublist__empty,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__remove1__subset,axiom, % 186.31/186.31 ! [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))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__greater__0__conv,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.31 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__1__Cons,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_not__listrel1__Nil,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_not__Nil__listrel1,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel_ONil,axiom, % 186.31/186.31 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__Nil__right,axiom, % 186.31/186.31 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nil2__notin__lex,axiom, % 186.31/186.31 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nil__notin__lex,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__Cons,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_upto_Osimps,axiom, % 186.31/186.31 ! [V_j,V_i] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 186.31/186.31 => 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)) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 186.31/186.31 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sublist__singleton,axiom, % 186.31/186.31 ! [V_x_2,T_b,V_A_2] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 186.31/186.31 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 186.31/186.31 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lists__empty,axiom, % 186.31/186.31 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__Cons_H,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_n] : % 186.31/186.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 186.31/186.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_upto__rec__number__of,axiom, % 186.31/186.31 ! [V_n,V_m] : % 186.31/186.31 ( ( 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))) % 186.31/186.31 => 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))) ) % 186.31/186.31 & ( ~ 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))) % 186.31/186.31 => 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) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel__Nil,axiom, % 186.31/186.31 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__Cons__sing__Nil,axiom, % 186.31/186.31 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__remove1,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => 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)) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => 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) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_upto_Opsimps,axiom, % 186.31/186.31 ! [V_j_2,V_i_2] : % 186.31/186.31 ( 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))) % 186.31/186.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 186.31/186.31 => 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)) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 186.31/186.31 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_select,axiom, % 186.31/186.31 ! [V_s_2,T_b,V_xs_2] : % 186.31/186.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.31 => 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listset_Osimps_I1_J,axiom, % 186.31/186.31 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__Cons1,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osimps_I5_J,axiom, % 186.31/186.31 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list_Osimps_I4_J,axiom, % 186.31/186.31 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ). % 186.31/186.31 % 186.31/186.31 fof(fact_listset_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__Cons,axiom, % 186.31/186.31 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sorted__list__of__set__remove,axiom, % 186.31/186.31 ! [V_x_2,V_A_2,T_b] : % 186.31/186.31 ( class_Orderings_Olinorder(T_b) % 186.31/186.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_upto_Opinduct,axiom, % 186.31/186.31 ! [V_Pa_2,V_a1_2,V_a0_2] : % 186.31/186.31 ( 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))) % 186.31/186.31 => ( ! [B_i,B_j] : % 186.31/186.31 ( 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))) % 186.31/186.31 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 186.31/186.31 => 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)) ) % 186.31/186.31 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 186.31/186.31 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sorted__list__of__set__empty,axiom, % 186.31/186.31 ! [T_b] : % 186.31/186.31 ( class_Orderings_Olinorder(T_b) % 186.31/186.31 => 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) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_anamorph_Osimps,axiom, % 186.31/186.31 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 186.31/186.31 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.31 => 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) ) % 186.31/186.31 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sublist__Cons,axiom, % 186.31/186.31 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__eq__Cons__conv,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 186.31/186.31 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 186.31/186.31 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 186.31/186.31 | ? [B_ys_H] : % 186.31/186.31 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 186.31/186.31 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Cons__eq__append__conv,axiom, % 186.31/186.31 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) % 186.31/186.31 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 186.31/186.31 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 186.31/186.31 | ? [B_ys_H] : % 186.31/186.31 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 186.31/186.31 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append1__eq__conv,axiom, % 186.31/186.31 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) % 186.31/186.31 <=> ( V_xs_2 = V_ys_2 % 186.31/186.31 & V_x_2 = V_y_2 ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__Cons,axiom, % 186.31/186.31 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_Cons__eq__appendI,axiom, % 186.31/186.31 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 186.31/186.31 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 186.31/186.31 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 186.31/186.31 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__in__lists__conv,axiom, % 186.31/186.31 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2))) % 186.31/186.31 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__eq__appendI,axiom, % 186.31/186.31 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 186.31/186.31 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 186.31/186.31 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__same__eq,axiom, % 186.31/186.31 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 186.31/186.31 ( 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) % 186.31/186.31 <=> V_ys_2 = V_zs_2 ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_same__append__eq,axiom, % 186.31/186.31 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( 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) % 186.31/186.31 <=> V_ys_2 = V_zs_2 ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__eq__append__conv2,axiom, % 186.31/186.31 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( 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) % 186.31/186.31 <=> ? [B_us] : % 186.31/186.31 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 186.31/186.31 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 186.31/186.31 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 186.31/186.31 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__assoc,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listsum__append,axiom, % 186.31/186.31 ! [V_ys,V_xs,T_a] : % 186.31/186.31 ( class_Groups_Omonoid__add(T_a) % 186.31/186.31 => 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)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__append,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__append,axiom, % 186.31/186.31 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 186.31/186.31 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us) % 186.31/186.31 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs) % 186.31/186.31 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__append,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__Nil,axiom, % 186.31/186.31 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 186.31/186.31 % 186.31/186.31 fof(fact_Nil__is__append__conv,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 186.31/186.31 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 186.31/186.31 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__Nil2,axiom, % 186.31/186.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_self__append__conv,axiom, % 186.31/186.31 ! [V_ys_2,T_b,V_xs_2] : % 186.31/186.31 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 186.31/186.31 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_self__append__conv2,axiom, % 186.31/186.31 ! [V_xs_2,T_b,V_ys_2] : % 186.31/186.31 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__is__Nil__conv,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 186.31/186.31 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 186.31/186.31 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__self__conv,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 186.31/186.31 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__self__conv2,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_eq__Nil__appendI,axiom, % 186.31/186.31 ! [T_a,V_ys,V_xs] : % 186.31/186.31 ( V_xs = V_ys % 186.31/186.31 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast__append,axiom, % 186.31/186.31 ! [V_xs,T_a,V_ys] : % 186.31/186.31 ( ( V_ys = c_List_Olist_ONil(T_a) % 186.31/186.31 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 186.31/186.31 & ( V_ys != c_List_Olist_ONil(T_a) % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__append__length,axiom, % 186.31/186.31 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__append__length__plus,axiom, % 186.31/186.31 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__append,axiom, % 186.31/186.31 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__append1,axiom, % 186.31/186.31 ! [V_x,V_ys,V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__length,axiom, % 186.31/186.31 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_remove1__append,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => 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) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.31 => 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)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__butlast__appendI,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 186.31/186.31 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 186.31/186.31 => 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))))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast__snoc,axiom, % 186.31/186.31 ! [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 ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__listrel1I,axiom, % 186.31/186.31 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 & V_us_2 = V_vs_2 ) % 186.31/186.31 | ( V_xs_2 = V_ys_2 % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__append__leftI,axiom, % 186.31/186.31 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__append,axiom, % 186.31/186.31 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 186.31/186.31 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.31 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 186.31/186.31 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__append,axiom, % 186.31/186.31 ! [V_ys,V_xs,T_a,V_n] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_list__update__append,axiom, % 186.31/186.31 ! [V_x,V_ys,V_xs,T_a,V_n] : % 186.31/186.31 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_sublist__append,axiom, % 186.31/186.31 ! [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)))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1I,axiom, % 186.31/186.31 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 186.31/186.31 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2)) % 186.31/186.31 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__append__left__rightI,axiom, % 186.31/186.31 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__Suc__conv__app__nth,axiom, % 186.31/186.31 ! [V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_snoc__listrel1__snoc__iff,axiom, % 186.31/186.31 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 & V_x_2 = V_y_2 ) % 186.31/186.31 | ( V_xs_2 = V_ys_2 % 186.31/186.31 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_listrel1E,axiom, % 186.31/186.31 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 186.31/186.31 => ~ ! [B_x,B_y] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 186.31/186.31 => ! [B_us,B_vs] : % 186.31/186.31 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 186.31/186.31 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_lexord__append__leftD,axiom, % 186.31/186.31 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) % 186.31/186.31 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate1__def,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_upd__conv__take__nth__drop,axiom, % 186.31/186.31 ! [V_a,V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__take__drop__id,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__1__Cons,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__Suc__Cons,axiom, % 186.31/186.31 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__via__drop,axiom, % 186.31/186.31 ! [V_ys,V_y,V_xs,V_n,T_a] : % 186.31/186.31 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__drop,axiom, % 186.31/186.31 ! [V_i,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct1__rotate,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 186.31/186.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_butlast__drop,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__butlast,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__take,axiom, % 186.31/186.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__drop,axiom, % 186.31/186.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__drop,axiom, % 186.31/186.31 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__0,axiom, % 186.31/186.31 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__zip,axiom, % 186.31/186.31 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__rotate1,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__drop,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__rotate1,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_in__set__dropD,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__drop__subset,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__Nil,axiom, % 186.31/186.31 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate1__is__Nil__conv,axiom, % 186.31/186.31 ! [V_xs_2,T_b] : % 186.31/186.31 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__drop__subset__set__drop,axiom, % 186.31/186.31 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__eq__Nil,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__all,axiom, % 186.31/186.31 ! [V_n,V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 186.31/186.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__append,axiom, % 186.31/186.31 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__eq__conv__conj,axiom, % 186.31/186.31 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 186.31/186.31 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) % 186.31/186.31 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__Cons,axiom, % 186.31/186.31 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__Cons_H,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_n] : % 186.31/186.31 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 186.31/186.31 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__drop,axiom, % 186.31/186.31 ! [V_xs,T_a,V_i,V_n] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_append__eq__append__conv__if,axiom, % 186.31/186.31 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] : % 186.31/186.31 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 186.31/186.31 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 186.31/186.31 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 186.31/186.31 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 186.31/186.31 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 186.31/186.31 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 186.31/186.31 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_nth__drop_H,axiom, % 186.31/186.31 ! [V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate__simps,axiom, % 186.31/186.31 ! [V_xs,V_x,T_b,T_a] : % 186.31/186.31 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 186.31/186.31 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__Cons__number__of,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a,V_v] : % 186.31/186.31 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 186.31/186.31 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.31 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__add,axiom, % 186.31/186.31 ! [V_xs,T_a,V_j,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate1__length01,axiom, % 186.31/186.31 ! [V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 186.31/186.31 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__append1,axiom, % 186.31/186.31 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ). % 186.31/186.31 % 186.31/186.31 fof(fact_zip__append2,axiom, % 186.31/186.31 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_id__take__nth__drop,axiom, % 186.31/186.31 ! [V_xs,T_a,V_i] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__hd__drop,axiom, % 186.31/186.31 ! [V_xs,T_a,V_n] : % 186.31/186.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd__drop__conv__nth,axiom, % 186.31/186.31 ! [V_n,T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd_Osimps,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd__append2,axiom, % 186.31/186.31 ! [V_ys,T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd__append,axiom, % 186.31/186.31 ! [V_ys,T_a,V_xs] : % 186.31/186.31 ( ( V_xs = c_List_Olist_ONil(T_a) % 186.31/186.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) ) % 186.31/186.31 & ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd__in__set,axiom, % 186.31/186.31 ! [T_b,V_xs_2] : % 186.31/186.31 ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.31 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd__conv__nth,axiom, % 186.31/186.31 ! [T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate1__hd__tl,axiom, % 186.31/186.31 ! [T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_hd__rotate__conv__nth,axiom, % 186.31/186.31 ! [V_n,T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => 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))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__tl,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_tl__drop,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_tl_Osimps_I2_J,axiom, % 186.31/186.31 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__tl,axiom, % 186.31/186.31 ! [V_xs,T_a] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.31 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_distinct__rotate,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : % 186.31/186.31 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 186.31/186.31 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate__rotate,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate0,axiom, % 186.31/186.31 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate__add,axiom, % 186.31/186.31 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_length__rotate,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_set__rotate,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 186.31/186.31 % 186.31/186.31 fof(fact_tl_Osimps_I1_J,axiom, % 186.31/186.31 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate__is__Nil__conv,axiom, % 186.31/186.31 ! [V_xs_2,V_n_2,T_b] : % 186.31/186.31 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.31 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate1__rotate__swap,axiom, % 186.31/186.31 ! [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)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate__def,axiom, % 186.31/186.31 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_tl__append2,axiom, % 186.31/186.31 ! [V_ys,T_a,V_xs] : % 186.31/186.31 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.31 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ). % 186.31/186.31 % 186.31/186.31 fof(fact_take__tl,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ). % 186.31/186.31 % 186.31/186.31 fof(fact_rotate__conv__mod,axiom, % 186.31/186.31 ! [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) ). % 186.31/186.31 % 186.31/186.31 fof(fact_drop__Suc,axiom, % 186.31/186.31 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_rotate__Suc,axiom, % 186.31/186.32 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_tl__append,axiom, % 186.31/186.32 ! [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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_rotate__id,axiom, % 186.31/186.32 ! [V_xs,T_a,V_n] : % 186.31/186.32 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.32 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_rotate__length01,axiom, % 186.31/186.32 ! [V_n,V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 186.31/186.32 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__tl,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_tl__take,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_take__Suc,axiom, % 186.31/186.32 ! [V_n,T_a,V_xs] : % 186.31/186.32 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => 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))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_rotate__drop__take,axiom, % 186.31/186.32 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_fold1__set,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 186.31/186.32 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.32 => 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)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_lexord__append__rightI,axiom, % 186.31/186.32 ! [V_r_2,V_x_2,T_b,V_y_2] : % 186.31/186.32 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__Nil,axiom, % 186.31/186.32 ! [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 ). % 186.31/186.32 % 186.31/186.32 fof(fact_start__le__sum,axiom, % 186.31/186.32 ! [V_ns_2,V_n_2,V_m_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__absorb0,axiom, % 186.31/186.32 ! [V_zs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Groups_Omonoid__add(T_b) % 186.31/186.32 => 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) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__assoc,axiom, % 186.31/186.32 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 186.31/186.32 ( class_Groups_Osemigroup__add(T_b) % 186.31/186.32 => 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)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__Cons,axiom, % 186.31/186.32 ! [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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__append,axiom, % 186.31/186.32 ! [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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__foldl,axiom, % 186.31/186.32 ! [T_b] : % 186.31/186.32 ( class_Groups_Omonoid__add(T_b) % 186.31/186.32 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sum__eq__0__conv,axiom, % 186.31/186.32 ! [V_ns_2,V_m_2] : % 186.31/186.32 ( 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) % 186.31/186.32 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.32 & ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 186.31/186.32 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 186.31/186.32 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 186.31/186.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Sup__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.32 => 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) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Inf__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.32 => 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) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Sup__fin__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Lattices_Olattice(T_b) % 186.31/186.32 => 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) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Inf__fin__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Lattices_Olattice(T_b) % 186.31/186.32 => 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) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Min__fin__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Max__fin__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_min__max_OInf__fin__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_min__max_OSup__fin__set__fold,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_SUPR__set__fold,axiom, % 186.31/186.32 ! [V_f_2,V_xs_2,T_c,T_b] : % 186.31/186.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.32 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_INFI__set__fold,axiom, % 186.31/186.32 ! [V_f_2,V_xs_2,T_c,T_b] : % 186.31/186.32 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.31/186.32 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_elem__le__sum,axiom, % 186.31/186.32 ! [V_ns_2,V_n_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__list__of__set__insert,axiom, % 186.31/186.32 ! [V_x_2,V_A_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.32 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_lexord__Nil__left,axiom, % 186.31/186.32 ! [V_r_2,V_y_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 186.31/186.32 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__key_Osimps_I1_J,axiom, % 186.31/186.32 ! [V_x_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__key_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__insort,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__insort,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_fun__left__comm__insort,axiom, % 186.31/186.32 ! [T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__left__comm,axiom, % 186.31/186.32 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__key__left__comm,axiom, % 186.31/186.32 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remove1__insort,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__not__Nil,axiom, % 186.31/186.32 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__insort,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2))) % 186.31/186.32 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__insert__insort__key,axiom, % 186.31/186.32 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 186.31/186.32 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__insert__insort,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__insort__insert,axiom, % 186.31/186.32 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.32 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__insert__triv,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__insort__insert,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__insert__key__triv,axiom, % 186.31/186.32 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 186.31/186.32 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__list__update,axiom, % 186.31/186.32 ! [V_x,V_k,T_a,V_xs] : % 186.31/186.32 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 186.31/186.32 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__conv__nth,axiom, % 186.31/186.32 ! [T_a,V_xs] : % 186.31/186.32 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last_Osimps,axiom, % 186.31/186.32 ! [V_x,T_a,V_xs] : % 186.31/186.32 ( ( V_xs = c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 186.31/186.32 & ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__ConsR,axiom, % 186.31/186.32 ! [V_x,T_a,V_xs] : % 186.31/186.32 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__ConsL,axiom, % 186.31/186.32 ! [V_x,T_a,V_xs] : % 186.31/186.32 ( V_xs = c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__append,axiom, % 186.31/186.32 ! [V_xs,T_a,V_ys] : % 186.31/186.32 ( ( V_ys = c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 186.31/186.32 & ( V_ys != c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__appendR,axiom, % 186.31/186.32 ! [V_xs,T_a,V_ys] : % 186.31/186.32 ( V_ys != c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__appendL,axiom, % 186.31/186.32 ! [V_xs,T_a,V_ys] : % 186.31/186.32 ( V_ys = c_List_Olist_ONil(T_a) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__in__set,axiom, % 186.31/186.32 ! [T_b,V_as_2] : % 186.31/186.32 ( V_as_2 != c_List_Olist_ONil(T_b) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__snoc,axiom, % 186.31/186.32 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__drop,axiom, % 186.31/186.32 ! [V_xs,T_a,V_n] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.32 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_append__butlast__last__id,axiom, % 186.31/186.32 ! [T_a,V_xs] : % 186.31/186.32 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_snoc__eq__iff__butlast,axiom, % 186.31/186.32 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 186.31/186.32 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2 % 186.31/186.32 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 186.31/186.32 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 186.31/186.32 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_lists_Osimps,axiom, % 186.31/186.32 ! [V_A_2,V_a_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 186.31/186.32 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 186.31/186.32 | ? [B_a,B_l] : % 186.31/186.32 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 186.31/186.32 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 186.31/186.32 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_select__weigth__select,axiom, % 186.31/186.32 ! [T_b,V_xs_2] : % 186.31/186.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.32 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_inj__mapI,axiom, % 186.31/186.32 ! [V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.32 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__map,axiom, % 186.31/186.32 ! [V_f_2,T_c,T_b,V_xs_2] : % 186.31/186.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.32 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_rotate__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__tl,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zip__map__map,axiom, % 186.31/186.32 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zip__map1,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__zip__map,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__zip__map2,axiom, % 186.31/186.32 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zip__map2,axiom, % 186.31/186.32 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zip__same__conv__map,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__is__Nil__conv,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.32 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map_Osimps_I1_J,axiom, % 186.31/186.32 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Nil__is__map__conv,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 186.31/186.32 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__update,axiom, % 186.31/186.32 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__eq__conv,axiom, % 186.31/186.32 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2) % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 186.31/186.32 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__eq__imp__length__eq,axiom, % 186.31/186.32 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2) % 186.31/186.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__0,axiom, % 186.31/186.32 ! [V_xs_2,T_c,T_b] : % 186.31/186.32 ( class_Groups_Omonoid__add(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__mult__const,axiom, % 186.31/186.32 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Rings_Osemiring__0(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_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) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__const__mult,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 186.31/186.32 ( class_Rings_Osemiring__0(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_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))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__addf,axiom, % 186.31/186.32 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__subtractf,axiom, % 186.31/186.32 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Groups_Oab__group__add(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__injective,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 186.31/186.32 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 186.31/186.32 => V_xs_2 = V_ys_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_inj__map__eq__map,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.32 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 186.31/186.32 <=> V_xs_2 = V_ys_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__ident,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 186.31/186.32 % 186.31/186.32 fof(fact_take__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__butlast,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__append,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_hd__map,axiom, % 186.31/186.32 ! [V_f_2,T_c,T_b,V_xs_2] : % 186.31/186.32 ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.32 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_drop__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_List_Omap_Oidentity,axiom, % 186.31/186.32 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_List_Omap_Oid,axiom, % 186.31/186.32 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_List_Omap_Ocomp,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__comp__map,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_List_Omap_Ocompositionality,axiom, % 186.31/186.32 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__map,axiom, % 186.31/186.32 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__size__map,axiom, % 186.31/186.32 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__inj__on,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 186.31/186.32 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2))) % 186.31/186.32 => V_xs_2 = V_ys_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_inj__on__map__eq__map,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 186.31/186.32 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 186.31/186.32 <=> V_xs_2 = V_ys_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nth__map,axiom, % 186.31/186.32 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__fun__upd,axiom, % 186.31/186.32 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 186.31/186.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 186.31/186.32 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 186.31/186.32 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__abs,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_uminus__listsum__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Groups_Oab__group__add(T_b) % 186.31/186.32 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_inj__on__mapI,axiom, % 186.31/186.32 ! [V_A_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2))) % 186.31/186.32 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_inj__map,axiom, % 186.31/186.32 ! [V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 186.31/186.32 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_inj__mapD,axiom, % 186.31/186.32 ! [V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 186.31/186.32 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 186.31/186.32 ! [V_f_2,V_xs_2,T_b,T_c] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__triv,axiom, % 186.31/186.32 ! [V_xs_2,V_r_2,T_c,T_b] : % 186.31/186.32 ( class_Rings_Osemiring__1(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__map__remove1,axiom, % 186.31/186.32 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Nitpick_Osetsum_H__def,axiom, % 186.31/186.32 ! [V_f_2,V_A_2,T_b,T_c] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.32 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.32 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.32 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_pick__same,axiom, % 186.31/186.32 ! [V_xs_2,T_b,V_l_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zero__code__numeral__def,axiom, % 186.31/186.32 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : % 186.31/186.32 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 186.31/186.32 <=> V_n_2 = V_m_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_times__code__numeral__code,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 186.31/186.32 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 186.31/186.32 % 186.31/186.32 fof(fact_one__code__numeral__def,axiom, % 186.31/186.32 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_less__code__numeral__code,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 186.31/186.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_code__numeral_Oof__nat__inject,axiom, % 186.31/186.32 ! [V_y_2,V_x_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 186.31/186.32 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 186.31/186.32 <=> V_x_2 = V_y_2 ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__fst__zip,axiom, % 186.31/186.32 ! [V_ys_2,T_c,V_xs_2,T_b] : % 186.31/186.32 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 186.31/186.32 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__snd__zip,axiom, % 186.31/186.32 ! [V_ys_2,T_c,V_xs_2,T_b] : % 186.31/186.32 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 186.31/186.32 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_number__of__code__numeral__def,axiom, % 186.31/186.32 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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zip__map__fst__snd,axiom, % 186.31/186.32 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ). % 186.31/186.32 % 186.31/186.32 fof(fact_plus__code__numeral__code,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_less__eq__code__numeral__code,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 186.31/186.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_subtract__code__numeral__code,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_pick__member,axiom, % 186.31/186.32 ! [V_xs_2,T_b,V_i_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_zip__eq__conv,axiom, % 186.31/186.32 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 186.31/186.32 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 186.31/186.32 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 186.31/186.32 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2 % 186.31/186.32 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__size__conv__listsum,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_code__numeral__not__eq__zero,axiom, % 186.31/186.32 ! [V_i_2] : % 186.31/186.32 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 186.31/186.32 ! [V_j_2,V_i_2,V_f_2,T_b] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 186.31/186.32 ! [V_l_2,V_k_2,V_f_2,T_b] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_select__weight__member,axiom, % 186.31/186.32 ! [V_s_2,V_xs_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_select__weight__def,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_select__def,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsum__mono,axiom, % 186.31/186.32 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 186.31/186.32 ( ( class_Groups_Omonoid__add(T_c) % 186.31/186.32 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 186.31/186.32 => ( ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nat__of__inverse,axiom, % 186.31/186.32 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 186.31/186.32 % 186.31/186.32 fof(fact_of__nat__nat__of,axiom, % 186.31/186.32 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 186.31/186.32 % 186.31/186.32 fof(fact_nat__of__of__nat,axiom, % 186.31/186.32 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 186.31/186.32 % 186.31/186.32 fof(fact_times__code__numeral__def,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 186.31/186.32 ! [V_l_2,V_k_2] : % 186.31/186.32 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 186.31/186.32 <=> V_k_2 = V_l_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_code__numeral_Onat__of__inject,axiom, % 186.31/186.32 ! [V_y_2,V_x_2] : % 186.31/186.32 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 186.31/186.32 <=> V_x_2 = V_y_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_type__definition__code__numeral,axiom, % 186.31/186.32 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_less__code__numeral__def,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 186.31/186.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nat__of,axiom, % 186.31/186.32 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nat__of__number,axiom, % 186.31/186.32 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ). % 186.31/186.32 % 186.31/186.32 fof(fact_int__of__def,axiom, % 186.31/186.32 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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_less__eq__code__numeral__def,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 186.31/186.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nat__of__code,axiom, % 186.31/186.32 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nat__of__aux__def,axiom, % 186.31/186.32 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Suc__code__numeral__def,axiom, % 186.31/186.32 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_minus__code__numeral__def,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_of__nat__inverse,axiom, % 186.31/186.32 ! [V_y_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 186.31/186.32 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_plus__code__numeral__def,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_div__code__numeral__def,axiom, % 186.31/186.32 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_mod__code__numeral__def,axiom, % 186.31/186.32 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_code__numeral__decr,axiom, % 186.31/186.32 ! [V_k] : % 186.31/186.32 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 186.31/186.32 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition__set,axiom, % 186.31/186.32 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 186.31/186.32 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 186.31/186.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition__P,axiom, % 186.31/186.32 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 186.31/186.32 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 186.31/186.32 => ( ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 186.31/186.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.32 & ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 186.31/186.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition_Osimps_I1_J,axiom, % 186.31/186.32 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_lists__IntI,axiom, % 186.31/186.32 ! [V_B_2,V_A_2,V_l_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 186.31/186.32 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_lists__Int__eq,axiom, % 186.31/186.32 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp_ONil,axiom, % 186.31/186.32 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp_Oequations_I1_J,axiom, % 186.31/186.32 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_in__listsp__conv__set,axiom, % 186.31/186.32 ! [V_xs_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp__conj__eq,axiom, % 186.31/186.32 ! [V_x_2,V_B_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2)) % 186.31/186.32 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 186.31/186.32 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp__inf__eq,axiom, % 186.31/186.32 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp__infI,axiom, % 186.31/186.32 ! [V_B_2,V_l_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 186.31/186.32 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp_Oequations_I2_J,axiom, % 186.31/186.32 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 186.31/186.32 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 186.31/186.32 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_append__in__listsp__conv,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 186.31/186.32 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 186.31/186.32 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp__mono,axiom, % 186.31/186.32 ! [V_B_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_listsp__lists__eq,axiom, % 186.31/186.32 ! [V_x_2,V_A_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 186.31/186.32 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_product_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__def,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 186.31/186.32 & ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__map2,axiom, % 186.31/186.32 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 186.31/186.32 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__map1,axiom, % 186.31/186.32 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 186.31/186.32 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__dropI,axiom, % 186.31/186.32 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 186.31/186.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__appendI,axiom, % 186.31/186.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) % 186.31/186.32 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2) % 186.31/186.32 => 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)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__append,axiom, % 186.31/186.32 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 186.31/186.32 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 186.31/186.32 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 186.31/186.32 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__Cons,axiom, % 186.31/186.32 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 186.31/186.32 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 186.31/186.32 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__takeI,axiom, % 186.31/186.32 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__eq,axiom, % 186.31/186.32 ! [T_b,V_ys_2,V_xs_2] : % 186.31/186.32 ( V_xs_2 = V_ys_2 % 186.31/186.32 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__lengthD,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__Nil,axiom, % 186.31/186.32 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 186.31/186.32 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__Nil2,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 186.31/186.32 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_product_Osimps_I1_J,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__nthD2,axiom, % 186.31/186.32 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__nthD,axiom, % 186.31/186.32 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__conv__all__nth,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 186.31/186.32 & ! [B_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__update__cong2,axiom, % 186.31/186.32 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.32 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 186.31/186.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2__update__cong,axiom, % 186.31/186.32 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 186.31/186.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__product,axiom, % 186.31/186.32 ! [V_ys,T_b,V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 186.31/186.32 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_product__list__set,axiom, % 186.31/186.32 ! [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))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sublists__powset,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__sublists,axiom, % 186.31/186.32 ! [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)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sublists_Osimps_I1_J,axiom, % 186.31/186.32 ! [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))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sublists_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__set__sublists,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.32 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__n__lists,axiom, % 186.31/186.32 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_enum__the__def,axiom, % 186.31/186.32 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__n__lists,axiom, % 186.31/186.32 ! [V_n,V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.32 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_n__lists__Nil,axiom, % 186.31/186.32 ! [T_a,V_n] : % 186.31/186.32 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.32 => 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))) ) % 186.31/186.32 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.32 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_n__lists_Osimps_I1_J,axiom, % 186.31/186.32 ! [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))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__n__lists,axiom, % 186.31/186.32 ! [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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__n__lists__elem,axiom, % 186.31/186.32 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)))) % 186.31/186.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_list__all2I,axiom, % 186.31/186.32 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] : % 186.31/186.32 ( ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2)))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 186.31/186.32 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 186.31/186.32 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_all__nth__imp__all__set,axiom, % 186.31/186.32 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 186.31/186.32 ( ! [B_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 186.31/186.32 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 186.31/186.32 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__removeAll__inj__on,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__remdups,axiom, % 186.31/186.32 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__remdups__leq,axiom, % 186.31/186.32 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__remdups__id,axiom, % 186.31/186.32 ! [V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.32 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__removeAll,axiom, % 186.31/186.32 ! [V_x,V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.32 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups__id__iff__distinct,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 186.31/186.32 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__remdups,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__remdups__eq,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 186.31/186.32 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups__remdups,axiom, % 186.31/186.32 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups__eq__nil__iff,axiom, % 186.31/186.32 ! [V_x_2,T_b] : % 186.31/186.32 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 186.31/186.32 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_removeAll_Osimps_I1_J,axiom, % 186.31/186.32 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups__eq__nil__right__iff,axiom, % 186.31/186.32 ! [V_x_2,T_b] : % 186.31/186.32 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 186.31/186.32 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups_Osimps_I1_J,axiom, % 186.31/186.32 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.32 % 186.31/186.32 fof(fact_removeAll_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs,T_a,V_y,V_x] : % 186.31/186.32 ( ( V_x = V_y % 186.31/186.32 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) % 186.31/186.32 & ( V_x != V_y % 186.31/186.32 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_removeAll__append,axiom, % 186.31/186.32 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups__map__remdups,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remove1__remdups,axiom, % 186.31/186.32 ! [V_x,V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.32 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_removeAll__id,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__remove1__removeAll,axiom, % 186.31/186.32 ! [V_x,V_xs,T_a] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.32 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__remdups__card__conv,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__removeAll__inj,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.31/186.32 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__removeAll,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__remdups__concat,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sort__key__simps_I1_J,axiom, % 186.31/186.32 ! [V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__conv__concat,axiom, % 186.31/186.32 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat__conv__foldl,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__sort,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__sort,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__sort,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 186.31/186.32 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat_Osimps_I1_J,axiom, % 186.31/186.32 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat__eq__Nil__conv,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : % 186.31/186.32 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 186.31/186.32 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_Nil__eq__concat__conv,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : % 186.31/186.32 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 186.31/186.32 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__concat,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__concat,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__concat,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sort__key__simps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat__append,axiom, % 186.31/186.32 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sort__foldl__insort,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat__injective,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.32 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 186.31/186.32 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 186.31/186.32 => ( ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 186.31/186.32 => V_xs_2 = V_ys_2 ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat__eq__concat__iff,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.32 ( ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 186.31/186.32 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 186.31/186.32 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 186.31/186.32 <=> V_xs_2 = V_ys_2 ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_concat__map__singleton,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_n__lists_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose_Osimps_I3_J,axiom, % 186.31/186.32 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__aux__filter__head,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__concat,axiom, % 186.31/186.32 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__sort,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__filter,axiom, % 186.31/186.32 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.32 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__is__subset,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__id__conv,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.32 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sum__length__filter__compl,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__filter__le,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__filter,axiom, % 186.31/186.32 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Qa_2)),V_Pa_2)),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__remove1,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remove1__filter__not,axiom, % 186.31/186.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.32 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__insort__triv,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition__filter1,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition__filter2,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_partition__filter__conv,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter_Osimps_I1_J,axiom, % 186.31/186.32 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose_Osimps_I1_J,axiom, % 186.31/186.32 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.32 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__append,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__empty__conv,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.32 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__filter__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_remdups__filter,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_removeAll__filter__not,axiom, % 186.31/186.32 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.32 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_removeAll__filter__not__eq,axiom, % 186.31/186.32 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nth__transpose,axiom, % 186.31/186.32 ! [V_xs_2,T_b,V_i_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 186.31/186.32 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__map__map,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__filter,axiom, % 186.31/186.32 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__filter__less,axiom, % 186.31/186.32 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__minus__filter__out,axiom, % 186.31/186.32 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__in__sublist,axiom, % 186.31/186.32 ! [V_s_2,V_xs_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.32 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__empty,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 186.31/186.32 <=> ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__filter__conv__card,axiom, % 186.31/186.32 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__aux__filter__tail,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose_Opsimps_I3_J,axiom, % 186.31/186.32 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2))) % 186.31/186.32 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose_Opsimps_I2_J,axiom, % 186.31/186.32 ! [V_xss_2,T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2))) % 186.31/186.32 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sublist__shift__lemma__Suc,axiom, % 186.31/186.32 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_select__weigth__drop__zero,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_pick__drop__zero,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose_Opsimps_I1_J,axiom, % 186.31/186.32 ! [T_b] : % 186.31/186.32 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b)))) % 186.31/186.32 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__max__length,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__aux__max,axiom, % 186.31/186.32 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldr_Osimps_I1_J,axiom, % 186.31/186.32 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldr_Osimps_I2_J,axiom, % 186.31/186.32 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldr__append,axiom, % 186.31/186.32 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldr__conv__foldl,axiom, % 186.31/186.32 ! [V_a_2,V_xs_2,T_b] : % 186.31/186.32 ( class_Groups_Oab__semigroup__add(T_b) % 186.31/186.32 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldr__map,axiom, % 186.31/186.32 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(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) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__foldr1,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Groups_Omonoid__add(T_b) % 186.31/186.32 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_foldl__foldr1__lemma,axiom, % 186.31/186.32 ! [V_xs_2,V_a_2,T_b] : % 186.31/186.32 ( class_Groups_Omonoid__add(T_b) % 186.31/186.32 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__transpose,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sublist__def,axiom, % 186.31/186.32 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sublist__shift__lemma,axiom, % 186.31/186.32 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_atLeastLessThan__upt,axiom, % 186.31/186.32 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_set__upt,axiom, % 186.31/186.32 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__Suc__append,axiom, % 186.31/186.32 ! [V_j,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__Suc,axiom, % 186.31/186.32 ! [V_j,V_i] : % 186.31/186.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__add__eq__append,axiom, % 186.31/186.32 ! [V_k,V_j,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__rec,axiom, % 186.31/186.32 ! [V_j,V_i] : % 186.31/186.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__conv__Cons,axiom, % 186.31/186.32 ! [V_j,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__conv__Nil,axiom, % 186.31/186.32 ! [V_i,V_j] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 186.31/186.32 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__eq__Nil__conv,axiom, % 186.31/186.32 ! [V_j_2,V_i_2] : % 186.31/186.32 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 186.31/186.32 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__0,axiom, % 186.31/186.32 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 186.31/186.32 % 186.31/186.32 fof(fact_take__upt,axiom, % 186.31/186.32 ! [V_n,V_m,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n)) % 186.31/186.32 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__list__of__set__range,axiom, % 186.31/186.32 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ). % 186.31/186.32 % 186.31/186.32 fof(fact_hd__upt,axiom, % 186.31/186.32 ! [V_j,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_drop__upt,axiom, % 186.31/186.32 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ). % 186.31/186.32 % 186.31/186.32 fof(fact_distinct__upt,axiom, % 186.31/186.32 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_length__upt,axiom, % 186.31/186.32 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__rec__number__of,axiom, % 186.31/186.32 ! [V_n,V_m] : % 186.31/186.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) % 186.31/186.32 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) ) % 186.31/186.32 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) % 186.31/186.32 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_upt__eq__Cons__conv,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 186.31/186.32 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 186.31/186.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 186.31/186.32 & V_i_2 = V_x_2 % 186.31/186.32 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_last__upt,axiom, % 186.31/186.32 ! [V_j,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__Suc__upt,axiom, % 186.31/186.32 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_atLeastAtMost__upt,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_atLeast__upt,axiom, % 186.31/186.32 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nth__upt,axiom, % 186.31/186.32 ! [V_j,V_k,V_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j)) % 186.31/186.32 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_greaterThanAtMost__upt,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_greaterThanLessThan__upt,axiom, % 186.31/186.32 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_atMost__upto,axiom, % 186.31/186.32 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__nth,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ). % 186.31/186.32 % 186.31/186.32 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 186.31/186.32 ! [V_n_2,V_m_2,V_f_2,T_b] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.32 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 186.31/186.32 ! [V_n_2,V_m_2,V_f_2,T_b] : % 186.31/186.32 ( class_Groups_Ocomm__monoid__add(T_b) % 186.31/186.32 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nth__map__upt,axiom, % 186.31/186.32 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__rectangle,axiom, % 186.31/186.32 ! [V_n_2,T_b,V_xs_2] : % 186.31/186.32 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 186.31/186.32 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 186.31/186.32 => ( ! [B_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 186.31/186.32 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 ) % 186.31/186.32 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__key__remove1,axiom, % 186.31/186.32 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 186.31/186.32 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted_ONil,axiom, % 186.31/186.32 ! [T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__single,axiom, % 186.31/186.32 ! [V_x,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__upt,axiom, % 186.31/186.32 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__sort,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__insort__insert,axiom, % 186.31/186.32 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__drop,axiom, % 186.31/186.32 ! [V_n,V_xs,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__upto,axiom, % 186.31/186.32 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__take,axiom, % 186.31/186.32 ! [V_n,V_xs,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__remove1,axiom, % 186.31/186.32 ! [V_a,V_xs,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__tl,axiom, % 186.31/186.32 ! [V_xs,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__insort,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) % 186.31/186.32 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__butlast,axiom, % 186.31/186.32 ! [V_xs,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted_Oequations_I1_J,axiom, % 186.31/186.32 ! [T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__many__eq,axiom, % 186.31/186.32 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2))) % 186.31/186.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 186.31/186.32 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__many,axiom, % 186.31/186.32 ! [V_zs,V_y,V_x,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__remdups,axiom, % 186.31/186.32 ! [V_l,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__distinct__set__unique,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 186.31/186.32 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 186.31/186.32 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__sort__key,axiom, % 186.31/186.32 ! [V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__insort__insert__key,axiom, % 186.31/186.32 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__map__remove1,axiom, % 186.31/186.32 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__insort__key,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2))) % 186.31/186.32 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__filter,axiom, % 186.31/186.32 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__map__same,axiom, % 186.31/186.32 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__same,axiom, % 186.31/186.32 ! [V_xs_2,V_g_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__Cons,axiom, % 186.31/186.32 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 186.31/186.32 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.32 & ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__append,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 186.31/186.32 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.32 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 186.31/186.32 & ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => ! [B_xa] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_filter__insort,axiom, % 186.31/186.32 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 186.31/186.32 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.32 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted_Oequations_I2_J,axiom, % 186.31/186.32 ! [V_a1_2,V_a2_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 186.31/186.32 <=> ( ! [B_x] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 186.31/186.32 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__list__of__set,axiom, % 186.31/186.32 ! [V_A_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.32 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 186.31/186.32 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 186.31/186.32 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_insort__remove1,axiom, % 186.31/186.32 ! [V_xs_2,V_a_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.32 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__nth__mono,axiom, % 186.31/186.32 ! [V_j,V_i,V_xs,T_a] : % 186.31/186.32 ( class_Orderings_Olinorder(T_a) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_sorted__equals__nth__mono,axiom, % 186.31/186.32 ! [V_xs_2,T_b] : % 186.31/186.32 ( class_Orderings_Olinorder(T_b) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.32 <=> ! [B_j] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.32 => ! [B_i] : % 186.31/186.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 186.31/186.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_map__sorted__distinct__set__unique,axiom, % 186.31/186.32 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 186.31/186.32 ( class_Orderings_Olinorder(T_c) % 186.31/186.32 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 186.31/186.32 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 186.31/186.32 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 186.31/186.32 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 186.31/186.32 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_transpose__column,axiom, % 186.31/186.32 ! [V_i_2,V_xs_2,T_b] : % 186.31/186.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 186.31/186.32 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ). % 186.31/186.32 % 186.31/186.32 fof(fact_nth__nth__transpose__sorted,axiom, % 186.31/186.32 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 186.31/186.32 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 186.31/186.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)))) % 186.31/186.33 => 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) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_inj__on__rev,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_distinct__rev,axiom, % 186.31/186.33 ! [V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 186.31/186.33 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__is__Nil__conv,axiom, % 186.31/186.33 ! [V_xs_2,T_b] : % 186.31/186.33 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.33 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Nil__is__rev__conv,axiom, % 186.31/186.33 ! [V_xs_2,T_b] : % 186.31/186.33 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 186.31/186.33 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev_Osimps_I1_J,axiom, % 186.31/186.33 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 186.31/186.33 % 186.31/186.33 fof(fact_singleton__rev__conv,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( 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) % 186.31/186.33 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__singleton__conv,axiom, % 186.31/186.33 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.33 ( 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)) % 186.31/186.33 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__append,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__concat,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__map,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__filter,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_zip__rev,axiom, % 186.31/186.33 ! [V_ys,T_b,V_xs,T_a] : % 186.31/186.33 ( 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) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_set__rev,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all2__rev,axiom, % 186.31/186.33 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.33 ( 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)) % 186.31/186.33 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all2__rev1,axiom, % 186.31/186.33 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 186.31/186.33 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 186.31/186.33 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__rev__ident,axiom, % 186.31/186.33 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__swap,axiom, % 186.31/186.33 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.33 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 186.31/186.33 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__is__rev__conv,axiom, % 186.31/186.33 ! [V_ys_2,V_xs_2,T_b] : % 186.31/186.33 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 186.31/186.33 <=> V_xs_2 = V_ys_2 ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_listsum__rev,axiom, % 186.31/186.33 ! [V_xs,T_a] : % 186.31/186.33 ( class_Groups_Ocomm__monoid__add(T_a) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__rev,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_foldl__foldr,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_foldr__foldl,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__eq__Cons__iff,axiom, % 186.31/186.33 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 186.31/186.33 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 186.31/186.33 <=> 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev_Osimps_I2_J,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_hd__rev,axiom, % 186.31/186.33 ! [T_a,V_xs] : % 186.31/186.33 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.33 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_last__rev,axiom, % 186.31/186.33 ! [T_a,V_xs] : % 186.31/186.33 ( V_xs != c_List_Olist_ONil(T_a) % 186.31/186.33 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted__transpose,axiom, % 186.31/186.33 ! [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)))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__foldl__cons,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__drop,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__take,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rotate__rev,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__nth,axiom, % 186.31/186.33 ! [V_xs,T_a,V_n] : % 186.31/186.33 ( 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))) % 186.31/186.33 => 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__update,axiom, % 186.31/186.33 ! [V_y,V_xs,T_a,V_k] : % 186.31/186.33 ( 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))) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted__rev__nth__mono,axiom, % 186.31/186.33 ! [V_j,V_i,V_xs,T_a] : % 186.31/186.33 ( class_Orderings_Olinorder(T_a) % 186.31/186.33 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 186.31/186.33 => ( 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))) % 186.31/186.33 => 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))) ) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_foldr__max__sorted,axiom, % 186.31/186.33 ! [V_y_2,V_xs_2,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 186.31/186.33 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 186.31/186.33 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 186.31/186.33 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.33 => 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) ) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__transpose__sorted,axiom, % 186.31/186.33 ! [V_xs_2,T_b] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 186.31/186.33 => 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) ) % 186.31/186.33 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 186.31/186.33 => 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))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transpose__column__length,axiom, % 186.31/186.33 ! [V_i_2,V_xs_2,T_b] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ( 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))) % 186.31/186.33 => 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)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transpose__transpose,axiom, % 186.31/186.33 ! [V_xs_2,T_b] : % 186.31/186.33 ( 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))) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 186.31/186.33 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted__takeWhile,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.33 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__takeWhile__le,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_set__takeWhileD,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 186.31/186.33 ( 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)))) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__eq__all__conv,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 186.31/186.33 <=> ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_zip__takeWhile__snd,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_zip__takeWhile__fst,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__map,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__tail,axiom, % 186.31/186.33 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.33 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile_Osimps_I2_J,axiom, % 186.31/186.33 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.33 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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)) ) % 186.31/186.33 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile_Osimps_I1_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__eq__take,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_distinct__takeWhile,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.33 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_return__list__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__append1,axiom, % 186.31/186.33 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_nth__length__takeWhile,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ~ 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))))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__nth,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 186.31/186.33 ( 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)))) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__not__last,axiom, % 186.31/186.33 ! [T_b,V_xs_2] : % 186.31/186.33 ( V_xs_2 != c_List_Olist_ONil(T_b) % 186.31/186.33 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 186.31/186.33 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( 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))) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transfer__nat__int__list__return__embed,axiom, % 186.31/186.33 ! [V_l] : % 186.31/186.33 ( c_List_Onat__list(V_l) % 186.31/186.33 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_embed__list__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__neq__rev,axiom, % 186.31/186.33 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => 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))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__neq__rev,axiom, % 186.31/186.33 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => 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))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__dropWhile__id,axiom, % 186.31/186.33 ! [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 ). % 186.31/186.33 % 186.31/186.33 fof(fact_hd__dropWhile,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 186.31/186.33 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted__dropWhile,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.33 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__dropWhile__le,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__eq__Nil__conv,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 186.31/186.33 <=> ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile_Osimps_I2_J,axiom, % 186.31/186.33 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.33 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) % 186.31/186.33 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile_Osimps_I1_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_distinct__dropWhile,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 186.31/186.33 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__map,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__append1,axiom, % 186.31/186.33 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__eq__Cons__conv,axiom, % 186.31/186.33 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( 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) % 186.31/186.33 <=> ( 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)) % 186.31/186.33 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__eq__drop,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__nth,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 186.31/186.33 ( 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)))) % 186.31/186.33 => 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)))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_listsum__map__filter,axiom, % 186.31/186.33 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 186.31/186.33 ( class_Groups_Omonoid__add(T_c) % 186.31/186.33 => ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.33 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 186.31/186.33 => 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)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted__nth__monoI,axiom, % 186.31/186.33 ! [V_xs,T_a] : % 186.31/186.33 ( class_Orderings_Olinorder(T_a) % 186.31/186.33 => ( ! [B_i,B_j] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 186.31/186.33 => ( 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))) % 186.31/186.33 => 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))) ) ) % 186.31/186.33 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__eq__filter,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( 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)))) % 186.31/186.33 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__eq__take__P__nth,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 186.31/186.33 ( ! [B_i] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 186.31/186.33 => ( 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))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 186.31/186.33 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.33 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 186.31/186.33 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__takeWhile__less__P__nth,axiom, % 186.31/186.33 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 186.31/186.33 ( ! [B_i] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 186.31/186.33 => ( 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))) % 186.31/186.33 => 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)))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted_Osimps,axiom, % 186.31/186.33 ! [V_a_2,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 186.31/186.33 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 186.31/186.33 | ? [B_xs,B_x] : % 186.31/186.33 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 186.31/186.33 & ! [B_xa] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 186.31/186.33 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_not__in__set__insert,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_List_Oinsert__def,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 186.31/186.33 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_insert__remdups,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_distinct__insert,axiom, % 186.31/186.33 ! [V_x,V_xs,T_a] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 186.31/186.33 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__set__insert,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_List_Oset__insert,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_insert__Nil,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_maps__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_concat__map__maps,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_maps__simps_I2_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_maps__simps_I1_J,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_distinct__concat,axiom, % 186.31/186.33 ! [V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 186.31/186.33 => ( ! [B_ys] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 186.31/186.33 => ( ! [B_ys] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.33 => ! [B_zs] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.33 => ( B_ys != B_zs % 186.31/186.33 => 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)) ) ) ) % 186.31/186.33 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measures__lesseq,axiom, % 186.31/186.33 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_wf__measures,axiom, % 186.31/186.33 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__measures_I1_J,axiom, % 186.31/186.33 ! [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))))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measures__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__measures_I2_J,axiom, % 186.31/186.33 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 186.31/186.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 186.31/186.33 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 186.31/186.33 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measures__less,axiom, % 186.31/186.33 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_foldl__apply,axiom, % 186.31/186.33 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => 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)) ) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_order__fun_I2_J,axiom, % 186.31/186.33 ! [V_g_2,V_f_2,T_b,T_c] : % 186.31/186.33 ( ( class_Orderings_Oorder(T_c) % 186.31/186.33 & class_Enum_Oenum(T_b) ) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.31/186.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.31/186.33 & 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)))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_enum__ex__prod__def,axiom, % 186.31/186.33 ! [V_Pa_2,T_b,T_c] : % 186.31/186.33 ( ( class_Enum_Oenum(T_c) % 186.31/186.33 & class_Enum_Oenum(T_b) ) % 186.31/186.33 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 186.31/186.33 <=> 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))))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_enum__ex,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : % 186.31/186.33 ( class_Enum_Oenum(T_b) % 186.31/186.33 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 186.31/186.33 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_exists__code,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : % 186.31/186.33 ( class_Enum_Oenum(T_b) % 186.31/186.33 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.33 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_zip__obtain__same__length,axiom, % 186.31/186.33 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 186.31/186.33 ( ( 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)) % 186.31/186.33 => 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)))) ) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_pos__not__random__dseq__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_dropWhile__append2,axiom, % 186.31/186.33 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all2__all__nthI,axiom, % 186.31/186.33 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] : % 186.31/186.33 ( 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) % 186.31/186.33 => ( ! [B_n] : % 186.31/186.33 ( 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))) % 186.31/186.33 => 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))) ) % 186.31/186.33 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_finite__sorted__distinct__unique,axiom, % 186.31/186.33 ! [V_A_2,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.33 => ? [B_x] : % 186.31/186.33 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 186.31/186.33 & c_List_Olinorder__class_Osorted(T_b,B_x) % 186.31/186.33 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 186.31/186.33 & ! [B_y] : % 186.31/186.33 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 186.31/186.33 & c_List_Olinorder__class_Osorted(T_b,B_y) % 186.31/186.33 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 186.31/186.33 => B_y = B_x ) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_takeWhile__append2,axiom, % 186.31/186.33 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_insort__is__Cons,axiom, % 186.31/186.33 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 186.31/186.33 ( class_Orderings_Olinorder(T_c) % 186.31/186.33 => ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 186.31/186.33 => 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) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Cons__eq__filter__iff,axiom, % 186.31/186.33 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( 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) % 186.31/186.33 <=> ? [B_us,B_vs] : % 186.31/186.33 ( 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)) % 186.31/186.33 & ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 186.31/186.33 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_filter__eq__Cons__iff,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 186.31/186.33 ( 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) % 186.31/186.33 <=> ? [B_us,B_vs] : % 186.31/186.33 ( 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)) % 186.31/186.33 & ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 186.31/186.33 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_order__fun_I1_J,axiom, % 186.31/186.33 ! [V_g_2,V_f_2,T_b,T_c] : % 186.31/186.33 ( ( class_Orderings_Oorder(T_c) % 186.31/186.33 & class_Enum_Oenum(T_b) ) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 186.31/186.33 <=> 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))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_all__code,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : % 186.31/186.33 ( class_Enum_Oenum(T_b) % 186.31/186.33 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 186.31/186.33 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_enum__all,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : % 186.31/186.33 ( class_Enum_Oenum(T_b) % 186.31/186.33 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 186.31/186.33 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_enum__all__prod__def,axiom, % 186.31/186.33 ! [V_Pa_2,T_b,T_c] : % 186.31/186.33 ( ( class_Enum_Oenum(T_c) % 186.31/186.33 & class_Enum_Oenum(T_b) ) % 186.31/186.33 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 186.31/186.33 <=> 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))))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ball__nth,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 186.31/186.33 => ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_sorted_OCons,axiom, % 186.31/186.33 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.33 ( class_Orderings_Olinorder(T_b) % 186.31/186.33 => ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 186.31/186.33 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 186.31/186.33 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__length,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ? [B_n] : % 186.31/186.33 ( 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))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__set__conv__decomp__first,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 <=> ? [B_ys] : % 186.31/186.33 ( ? [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)) % 186.31/186.33 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__simps_I2_J,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__append,axiom, % 186.31/186.33 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 186.31/186.33 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__iff,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__rev,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 186.31/186.33 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__simps_I1_J,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 186.31/186.33 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__set__conv__decomp,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 <=> ? [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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__set__conv__decomp__last,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 <=> ? [B_ys,B_zs] : % 186.31/186.33 ( 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)) % 186.31/186.33 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__length,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ! [B_n] : % 186.31/186.33 ( 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))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measure__function__int,axiom, % 186.31/186.33 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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__simps_I2_J,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__append,axiom, % 186.31/186.33 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 186.31/186.33 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measure__size,axiom, % 186.31/186.33 ! [T_b] : % 186.31/186.33 ( class_Nat_Osize(T_b) % 186.31/186.33 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_is__measure_Osimps,axiom, % 186.31/186.33 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 186.31/186.33 % 186.31/186.33 fof(fact_is__measure_Oequations,axiom, % 186.31/186.33 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 186.31/186.33 % 186.31/186.33 fof(fact_is__measure_Ointros,axiom, % 186.31/186.33 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__iff,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measure__fst,axiom, % 186.31/186.33 ! [T_c,V_f_2,T_b] : % 186.31/186.33 ( c_FunDef_Ois__measure(T_b,V_f_2) % 186.31/186.33 => 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_measure__snd,axiom, % 186.31/186.33 ! [T_c,V_f_2,T_b] : % 186.31/186.33 ( c_FunDef_Ois__measure(T_b,V_f_2) % 186.31/186.33 => 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__rev,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 186.31/186.33 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__simps_I1_J,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 186.31/186.33 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Ball__set__list__all,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__iff__raw,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex1__simps_I2_J,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 186.31/186.33 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => 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) ) % 186.31/186.33 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transfer__morphism__int__nat,axiom, % 186.31/186.33 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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex1__simps_I1_J,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_bool_Osize_I4_J,axiom, % 186.31/186.33 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.33 % 186.31/186.33 fof(fact_bool_Osize_I3_J,axiom, % 186.31/186.33 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex1__iff,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.33 & ! [B_y] : % 186.31/186.33 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 186.31/186.33 => B_y = B_x ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 186.31/186.33 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 186.31/186.33 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.33 => 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) ) % 186.31/186.33 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.33 => 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)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 186.31/186.33 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 186.31/186.33 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.33 => 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) ) % 186.31/186.33 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 186.31/186.33 => 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)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Opos__empty__def,axiom, % 186.31/186.33 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 186.31/186.33 % 186.31/186.33 fof(fact_pos__empty__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_neg__bind__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Opos__bind__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_neg__map__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_neg__single__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_pos__bind__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Oneg__single__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_pos__map__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_pos__single__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__splice,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_splice_Osimps_I3_J,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_splice_Osimps_I1_J,axiom, % 186.31/186.33 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 186.31/186.33 % 186.31/186.33 fof(fact_splice__Nil2,axiom, % 186.31/186.33 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 186.31/186.33 % 186.31/186.33 fof(fact_splice_Osimps_I2_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Opos__single__def,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_acyclicP__converse,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( 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)))) % 186.31/186.33 <=> 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_converse__meet,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_converse__pred__comp,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep__noteq,axiom, % 186.31/186.33 ! [V_y_2,V_x_2,T_b] : % 186.31/186.33 ( 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)) % 186.31/186.33 <=> V_x_2 != V_y_2 ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversepD,axiom, % 186.31/186.33 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 186.31/186.33 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep_Ointros,axiom, % 186.31/186.33 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep_Oequations,axiom, % 186.31/186.33 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 186.31/186.33 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep__iff,axiom, % 186.31/186.33 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 186.31/186.33 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep__conversep,axiom, % 186.31/186.33 ! [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 ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep__eq,axiom, % 186.31/186.33 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 186.31/186.33 % 186.31/186.33 fof(fact_converse__join,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_conversep__converse__eq,axiom, % 186.31/186.33 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 186.31/186.33 ( 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)) % 186.31/186.33 <=> 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_,axiom, % 186.31/186.33 ! [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)))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_tl__replicate,axiom, % 186.31/186.33 ! [V_x,T_a,V_n] : % 186.31/186.33 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__length__filter,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_length__replicate,axiom, % 186.31/186.33 ! [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 ). % 186.31/186.33 % 186.31/186.33 fof(fact_map__replicate__const,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__app__Cons__same,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__Suc,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_rev__replicate,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_drop__replicate,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_hd__replicate,axiom, % 186.31/186.33 ! [V_x,T_a,V_n] : % 186.31/186.33 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_take__replicate,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_last__replicate,axiom, % 186.31/186.33 ! [V_x,T_a,V_n] : % 186.31/186.33 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_zip__replicate,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Bex__set__replicate,axiom, % 186.31/186.33 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 186.31/186.33 ( ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.33 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Ball__set__replicate,axiom, % 186.31/186.33 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 186.31/186.33 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__eq__replicate,axiom, % 186.31/186.33 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 186.31/186.33 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 186.31/186.33 <=> ( V_m_2 = V_n_2 % 186.31/186.33 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => V_x_2 = V_y_2 ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_nth__replicate,axiom, % 186.31/186.33 ! [V_x,T_a,V_n,V_i] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 186.31/186.33 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__add,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_append__replicate__commute,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_filter__replicate,axiom, % 186.31/186.33 ! [V_n_2,T_b,V_x_2,V_Pa_2] : % 186.31/186.33 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) ) % 186.31/186.33 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 186.31/186.33 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_concat__replicate__trivial,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__0,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_empty__replicate,axiom, % 186.31/186.33 ! [V_x_2,V_n_2,T_b] : % 186.31/186.33 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 186.31/186.33 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__empty,axiom, % 186.31/186.33 ! [V_x_2,V_n_2,T_b] : % 186.31/186.33 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 186.31/186.33 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_map__replicate,axiom, % 186.31/186.33 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__set__replicate,axiom, % 186.31/186.33 ! [V_y_2,V_n_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2)))) % 186.31/186.33 <=> ( V_x_2 = V_y_2 % 186.31/186.33 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_replicate__append__same,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_map__replicate__trivial,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_set__replicate__conv__if,axiom, % 186.31/186.33 ! [V_x_2,T_b,V_n_2] : % 186.31/186.33 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 186.31/186.33 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_set__replicate,axiom, % 186.31/186.33 ! [V_x_2,T_b,V_n_2] : % 186.31/186.33 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.31/186.33 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_set__replicate__Suc,axiom, % 186.31/186.33 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_small__lazy__list_Osimps,axiom, % 186.31/186.33 ! [V_d_2,T_b] : % 186.31/186.33 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 186.31/186.33 => 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)))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_eq__comp__r,axiom, % 186.31/186.33 ! [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 ). % 186.31/186.33 % 186.31/186.33 fof(fact_small__lazy__prod__def,axiom, % 186.31/186.33 ! [V_d,T_b,T_a] : % 186.31/186.33 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 186.31/186.33 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_New__DSequence_Opos__union__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact__01,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Oinject,axiom, % 186.31/186.33 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 186.31/186.33 ( 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) % 186.31/186.33 <=> ( V_a_2 = V_a_H_2 % 186.31/186.33 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_pos__union__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 186.31/186.33 ! [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))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_small__lazy_H_Osimps,axiom, % 186.31/186.33 ! [V_i,V_d] : % 186.31/186.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 186.31/186.33 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 186.31/186.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 186.31/186.33 => 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)))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_small__lazy_H_Opsimps,axiom, % 186.31/186.33 ! [V_i_2,V_d_2] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 186.31/186.33 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 186.31/186.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 186.31/186.33 => 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)))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_small__lazy__int__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_small__lazy_H_Opinduct,axiom, % 186.31/186.33 ! [V_Pa_2,V_a1_2,V_a0_2] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ( ! [B_d,B_i] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 186.31/186.33 => 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)))) ) % 186.31/186.33 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 186.31/186.33 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_size__code,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence__size__code,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_seq__case,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_yieldn__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_refl__on__INTER,axiom, % 186.31/186.33 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.31/186.33 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_in__set__member,axiom, % 186.31/186.33 ! [V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_member__rec_I2_J,axiom, % 186.31/186.33 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_member__set,axiom, % 186.31/186.33 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 186.31/186.33 % 186.31/186.33 fof(fact_member__rec_I1_J,axiom, % 186.31/186.33 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 186.31/186.33 ( 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)) % 186.31/186.33 <=> ( V_x_2 = V_y_2 % 186.31/186.33 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_List_Omember__def,axiom, % 186.31/186.33 ! [V_x_2,V_xs_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 186.31/186.33 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex1__iff__raw,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.33 & ! [B_y] : % 186.31/186.33 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 186.31/186.33 => B_y = B_x ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_setsum__UNION__zero,axiom, % 186.31/186.33 ! [V_f_2,V_S_2,T_b,T_c] : % 186.31/186.33 ( class_Groups_Ocomm__monoid__add(T_c) % 186.31/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 186.31/186.33 => ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 186.31/186.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 186.31/186.33 => ( ! [B_T1] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 186.31/186.33 => ! [B_T2] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 186.31/186.33 => ( B_T1 != B_T2 % 186.31/186.33 => ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 186.31/186.33 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 186.31/186.33 => 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) ) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_THE__default__def,axiom, % 186.31/186.33 ! [V_d_2,T_b,V_Pa_2] : % 186.31/186.33 ( ( ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.33 & ! [B_y] : % 186.31/186.33 ( hBOOL(hAPP(V_Pa_2,B_y)) % 186.31/186.33 => B_y = B_x ) ) % 186.31/186.33 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 186.31/186.33 & ( ~ ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(V_Pa_2,B_x)) % 186.31/186.33 & ! [B_y] : % 186.31/186.33 ( hBOOL(hAPP(V_Pa_2,B_y)) % 186.31/186.33 => B_y = B_x ) ) % 186.31/186.33 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_SUP2__E,axiom, % 186.31/186.33 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 186.31/186.33 ( 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)) % 186.31/186.33 => ~ ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.33 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_INF2__I,axiom, % 186.31/186.33 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 186.31/186.33 ( ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.33 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_finite__maxlen,axiom, % 186.31/186.33 ! [V_M_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 186.31/186.33 => ? [B_n] : % 186.31/186.33 ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 186.31/186.33 => 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)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact__02,axiom, % 186.31/186.33 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 186.31/186.33 ! [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) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 186.31/186.33 ! [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 ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__all__iff__all__interval__int,axiom, % 186.31/186.33 ! [V_j_2,V_i_2,V_Pa_2] : % 186.31/186.33 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 186.31/186.33 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 186.31/186.33 ! [V_j_2,V_i_2,V_Pa_2] : % 186.31/186.33 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 186.31/186.33 <=> ~ 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) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_all__interval__int__def,axiom, % 186.31/186.33 ! [V_j_2,V_i_2,V_Pa_2] : % 186.31/186.33 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 186.31/186.33 <=> ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 186.31/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_code__numeral_Orecs_I2_J,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Random_Osimps,axiom, % 186.31/186.33 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 186.31/186.33 ( ( 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))) % 186.31/186.33 => 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)) ) % 186.31/186.33 & ( ~ 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))) % 186.31/186.33 => 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))))))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_code__numeral_Orecs_I1_J,axiom, % 186.31/186.33 ! [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 ). % 186.31/186.33 % 186.31/186.33 fof(fact_Random__Sequence_Oempty__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Random__Sequence_Osingle__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Random__Sequence_Omap__def,axiom, % 186.31/186.33 ! [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)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_exE__realizer,axiom, % 186.31/186.33 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] : % 186.31/186.33 ( 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))) % 186.31/186.33 => ( ! [B_x,B_y] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 186.31/186.33 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 186.31/186.33 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Image__Collect__split,axiom, % 186.31/186.33 ! [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)))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lexord__trans,axiom, % 186.31/186.33 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 186.31/186.33 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 186.31/186.33 => ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__less__than,axiom, % 186.31/186.33 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__lex__prod,axiom, % 186.31/186.33 ! [V_R2_2,T_c,V_R1_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_R1_2) % 186.31/186.33 => ( c_Relation_Otrans(T_c,V_R2_2) % 186.31/186.33 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_transD,axiom, % 186.31/186.33 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => ( hBOOL(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)) % 186.31/186.33 => ( 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)) % 186.31/186.33 => hBOOL(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)) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__def,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 <=> ! [B_x,B_y] : % 186.31/186.33 ( 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)) % 186.31/186.33 => ! [B_z] : % 186.31/186.33 ( 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)) % 186.31/186.33 => 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)) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Union__eq,axiom, % 186.31/186.33 ! [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)))) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__O__subset,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => 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)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__rtrancl,axiom, % 186.31/186.33 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__Id,axiom, % 186.31/186.33 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trancl__id,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__trancl,axiom, % 186.31/186.33 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__Id__on,axiom, % 186.31/186.33 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__finite__psubset,axiom, % 186.31/186.33 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 186.31/186.33 % 186.31/186.33 fof(fact_lexord__transI,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_listrel__trans,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_bex__empty,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : % 186.31/186.33 ~ ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__converse,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.31/186.33 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_finite__Collect__bex,axiom, % 186.31/186.33 ! [V_Qa_2,T_c,V_A_2,T_b] : % 186.31/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.31/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Qa_2))))) % 186.31/186.33 <=> ! [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.31/186.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_x)))) ) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_bex__UNIV,axiom, % 186.31/186.33 ! [V_Pa_2,T_b] : % 186.31/186.33 ( ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__Int,axiom, % 186.31/186.33 ! [V_s_2,V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => ( c_Relation_Otrans(T_b,V_s_2) % 186.31/186.33 => 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)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_SUPR__bool__eq,axiom, % 186.31/186.33 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__reflclI,axiom, % 186.31/186.33 ! [V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => 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))) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_trans__inv__image,axiom, % 186.31/186.33 ! [V_f_2,T_c,V_r_2,T_b] : % 186.31/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.31/186.33 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_Bex__set__list__ex,axiom, % 186.31/186.33 ! [V_Pa_2,V_xs_2,T_b] : % 186.31/186.33 ( ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.31/186.33 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_list__ex__iff__raw,axiom, % 186.31/186.33 ! [V_xs_2,V_Pa_2,T_b] : % 186.31/186.33 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 186.31/186.33 <=> ? [B_x] : % 186.31/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 186.31/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.31/186.33 % 186.31/186.33 fof(fact_UN__eq,axiom, % 186.31/186.33 ! [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))))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_INT__eq,axiom, % 186.59/186.33 ! [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))))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Sup__fun__def,axiom, % 186.59/186.33 ! [V_x_2,V_A_2,T_c,T_b] : % 186.59/186.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.59/186.33 => 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)))))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Sup__apply,axiom, % 186.59/186.33 ! [V_x_2,V_A_2,T_c,T_b] : % 186.59/186.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.59/186.33 => 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)))))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Inf__fun__def,axiom, % 186.59/186.33 ! [V_x_2,V_A_2,T_c,T_b] : % 186.59/186.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.59/186.33 => 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)))))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Inf__apply,axiom, % 186.59/186.33 ! [V_x_2,V_A_2,T_c,T_b] : % 186.59/186.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 186.59/186.33 => 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)))))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_max__extp_Ointros,axiom, % 186.59/186.33 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 186.59/186.33 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.59/186.33 => ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 186.59/186.33 => ? [B_xa] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 186.59/186.33 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 186.59/186.33 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_transp__def,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Predicate_Otransp(T_b,V_r_2) % 186.59/186.33 <=> 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_transpE,axiom, % 186.59/186.33 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 186.59/186.33 ( c_Predicate_Otransp(T_b,V_r_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equivpE,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.59/186.33 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 186.59/186.33 => ( c_Predicate_Osymp(T_b,V_R_2) % 186.59/186.33 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equivpI,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Predicate_Oreflp(T_b,V_R_2) % 186.59/186.33 => ( c_Predicate_Osymp(T_b,V_R_2) % 186.59/186.33 => ( c_Predicate_Otransp(T_b,V_R_2) % 186.59/186.33 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sympE,axiom, % 186.59/186.33 ! [V_y_2,V_x_2,V_r_2,T_b] : % 186.59/186.33 ( c_Predicate_Osymp(T_b,V_r_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equivp__reflp__symp__transp,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.59/186.33 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 186.59/186.33 & c_Predicate_Osymp(T_b,V_R_2) % 186.59/186.33 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_max__extp_Osimps,axiom, % 186.59/186.33 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 186.59/186.33 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 186.59/186.33 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 186.59/186.33 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 186.59/186.33 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 186.59/186.33 & ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 186.59/186.33 => ? [B_xa] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 186.59/186.33 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_trans__diff__Id,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Otrans(T_b,V_r_2) % 186.59/186.33 => ( c_Relation_Oantisym(T_b,V_r_2) % 186.59/186.33 => 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__converse,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.59/186.33 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__empty,axiom, % 186.59/186.33 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__Id,axiom, % 186.59/186.33 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__Id__on,axiom, % 186.59/186.33 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__subset,axiom, % 186.59/186.33 ! [V_s_2,V_r_2,T_b] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ( c_Relation_Oantisym(T_b,V_s_2) % 186.59/186.33 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__def,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Oantisym(T_b,V_r_2) % 186.59/186.33 <=> ! [B_x,B_y] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ( 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)) % 186.59/186.33 => B_x = B_y ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisymD,axiom, % 186.59/186.33 ! [V_b_2,V_a_2,V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Oantisym(T_b,V_r_2) % 186.59/186.33 => ( hBOOL(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)) % 186.59/186.33 => ( 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)) % 186.59/186.33 => V_a_2 = V_b_2 ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_antisym__reflcl,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 186.59/186.33 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_fun__lub__def,axiom, % 186.59/186.33 ! [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)))))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__trans__comp__subset,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => ( c_Relation_Otrans(T_b,V_r_2) % 186.59/186.33 => 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_symD,axiom, % 186.59/186.33 ! [V_b_2,V_a_2,V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => ( hBOOL(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)) % 186.59/186.33 => 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__def,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 <=> ! [B_x,B_y] : % 186.59/186.33 ( 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)) % 186.59/186.33 => 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__rtrancl,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__Id,axiom, % 186.59/186.33 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__Un,axiom, % 186.59/186.33 ! [V_s_2,V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => ( c_Relation_Osym(T_b,V_s_2) % 186.59/186.33 => 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__trancl,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__Id__on,axiom, % 186.59/186.33 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_listrel__sym,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__conv__converse__eq,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__converse,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 186.59/186.33 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__Int,axiom, % 186.59/186.33 ! [V_s_2,V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => ( c_Relation_Osym(T_b,V_s_2) % 186.59/186.33 => 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__Un__converse,axiom, % 186.59/186.33 ! [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))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__inv__image,axiom, % 186.59/186.33 ! [V_f_2,T_c,V_r_2,T_b] : % 186.59/186.33 ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_sym__Int__converse,axiom, % 186.59/186.33 ! [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))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equiv__def,axiom, % 186.59/186.33 ! [V_r_2,V_A_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.59/186.33 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.59/186.33 & c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equivI,axiom, % 186.59/186.33 ! [V_r_2,V_A_2,T_b] : % 186.59/186.33 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.59/186.33 => ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => ( c_Relation_Otrans(T_b,V_r_2) % 186.59/186.33 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equivE,axiom, % 186.59/186.33 ! [V_r_2,V_A_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 186.59/186.33 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 186.59/186.33 => ( c_Relation_Osym(T_b,V_r_2) % 186.59/186.33 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_symp__def,axiom, % 186.59/186.33 ! [V_r_2,T_b] : % 186.59/186.33 ( c_Predicate_Osymp(T_b,V_r_2) % 186.59/186.33 <=> 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivpI,axiom, % 186.59/186.33 ! [T_b,V_R_2] : % 186.59/186.33 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 186.59/186.33 => ( c_Predicate_Osymp(T_b,V_R_2) % 186.59/186.33 => ( c_Predicate_Otransp(T_b,V_R_2) % 186.59/186.33 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivp__refl__symp__transp,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 186.59/186.33 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 186.59/186.33 & c_Predicate_Osymp(T_b,V_R_2) % 186.59/186.33 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_equivp__implies__part__equivp,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.59/186.33 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivp__transp,axiom, % 186.59/186.33 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivp__symp,axiom, % 186.59/186.33 ! [V_y_2,V_x_2,V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivp__def,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 186.59/186.33 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 186.59/186.33 & ! [B_x,B_y] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 186.59/186.33 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 186.59/186.33 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 186.59/186.33 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivpE,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 186.59/186.33 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 186.59/186.33 => ( c_Predicate_Osymp(T_b,V_R_2) % 186.59/186.33 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_part__equivp__typedef,axiom, % 186.59/186.33 ! [V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 186.59/186.33 => ? [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))))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__o__cancel,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inj__iff,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 <=> 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_o__inv__o__cancel,axiom, % 186.59/186.33 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__id,axiom, % 186.59/186.33 ! [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) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__f__f,axiom, % 186.59/186.33 ! [V_x_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__f__eq,axiom, % 186.59/186.33 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 186.59/186.33 => 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 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__f__eq,axiom, % 186.59/186.33 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.59/186.33 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 186.59/186.33 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__f__f,axiom, % 186.59/186.33 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 186.59/186.33 => 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 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_f__inv__into__f,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__into,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__injective,axiom, % 186.59/186.33 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 186.59/186.33 ( 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) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 186.59/186.33 => V_x_2 = V_y_2 ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_image__surj__f__inv__f,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_b,T_c] : % 186.59/186.33 ( 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)) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_surj__f__inv__f,axiom, % 186.59/186.33 ! [V_y_2,V_f_2,T_b,T_c] : % 186.59/186.33 ( 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)) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_surj__iff__all,axiom, % 186.59/186.33 ! [V_f_2,T_b,T_c] : % 186.59/186.33 ( 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)) % 186.59/186.33 <=> ! [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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_image__inv__into__cancel,axiom, % 186.59/186.33 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 186.59/186.33 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 186.59/186.33 => 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 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__def,axiom, % 186.59/186.33 ! [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))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__def,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_surj__imp__inj__inv,axiom, % 186.59/186.33 ! [V_f_2,T_b,T_c] : % 186.59/186.33 ( 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)) % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__image__comp,axiom, % 186.59/186.33 ! [V_X_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_image__inv__f__f,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inj__imp__surj__inv,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__image__cancel,axiom, % 186.59/186.33 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 186.59/186.33 => 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 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inj__on__inv__into,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__comp,axiom, % 186.59/186.33 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 186.59/186.33 => ( 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)))) % 186.59/186.33 => 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) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_surj__iff,axiom, % 186.59/186.33 ! [V_f_2,T_b,T_c] : % 186.59/186.33 ( 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)) % 186.59/186.33 <=> 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inj__transfer,axiom, % 186.59/186.33 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => ( ! [B_y] : % 186.59/186.33 ( 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))))) % 186.59/186.33 => 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))) ) % 186.59/186.33 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_fold__image__UN__disjoint,axiom, % 186.59/186.33 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 186.59/186.33 ( class_Groups_Ocomm__monoid__mult(T_d) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 186.59/186.33 => ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 186.59/186.33 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 186.59/186.33 => ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 186.59/186.33 => ! [B_xa] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 186.59/186.33 => ( B_x != B_xa % 186.59/186.33 => 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)) ) ) ) % 186.59/186.33 => 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) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_nat__of__cases,axiom, % 186.59/186.33 ! [V_y_2] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 186.59/186.33 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_nat__of__induct,axiom, % 186.59/186.33 ! [V_Pa_2,V_y_2] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 186.59/186.33 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 186.59/186.33 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_of__nat__cases,axiom, % 186.59/186.33 ! [V_x_2] : % 186.59/186.33 ~ ! [B_y] : % 186.59/186.33 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 186.59/186.33 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_of__nat__induct,axiom, % 186.59/186.33 ! [V_x_2,V_Pa_2] : % 186.59/186.33 ( ! [B_y] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 186.59/186.33 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 186.59/186.33 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 186.59/186.33 ! [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 ). % 186.59/186.33 % 186.59/186.33 fof(fact_beyond__def,axiom, % 186.59/186.33 ! [V_l,V_k] : % 186.59/186.33 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 186.59/186.33 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 186.59/186.33 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 186.59/186.33 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_beyond__zero,axiom, % 186.59/186.33 ! [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) ). % 186.59/186.33 % 186.59/186.33 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__image__Collect__eq,axiom, % 186.59/186.33 ! [V_Pa_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_curry__def,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_curryI,axiom, % 186.59/186.33 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 186.59/186.33 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__id,axiom, % 186.59/186.33 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__inv__into,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__into__inv__into__eq,axiom, % 186.59/186.33 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 186.59/186.33 => 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) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inv__inv__eq,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__imp__bij__inv,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_o__inv__distrib,axiom, % 186.59/186.33 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( 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))) % 186.59/186.33 => 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__image__INT,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__comp__iff2,axiom, % 186.59/186.33 ! [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] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 186.59/186.33 => ( 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)) % 186.59/186.33 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 186.59/186.33 <=> 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) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__trans,axiom, % 186.59/186.33 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 186.59/186.33 => 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) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__comp__iff,axiom, % 186.59/186.33 ! [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] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 186.59/186.33 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 186.59/186.33 <=> 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) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__comp,axiom, % 186.59/186.33 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( 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))) % 186.59/186.33 => 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_curryD,axiom, % 186.59/186.33 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 186.59/186.33 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_curryE,axiom, % 186.59/186.33 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 186.59/186.33 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_curry__conv,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_finite__vimage__iff,axiom, % 186.59/186.33 ! [V_F_2,V_h_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 186.59/186.33 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__image__Compl__eq,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__subset,axiom, % 186.59/186.33 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.59/186.33 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 186.59/186.33 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__is__surj,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__imp__surj,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inj__on__imp__bij__betw,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__def,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.59/186.33 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__imp__inj__on,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__is__inj,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__the__inv__into,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__same__card,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__empty2,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__empty1,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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) % 186.59/186.33 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_BIJ,axiom, % 186.59/186.33 ! [V_B_2,T_c,V_A_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 186.59/186.33 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 186.59/186.33 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__finite,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 186.59/186.33 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__id__iff,axiom, % 186.59/186.33 ! [V_B_2,V_A_2,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 186.59/186.33 <=> V_A_2 = V_B_2 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__id,axiom, % 186.59/186.33 ! [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))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__Disj__Un,axiom, % 186.59/186.33 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ( 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)) % 186.59/186.33 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 186.59/186.33 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 186.59/186.33 => 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)) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__betw__combine,axiom, % 186.59/186.33 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 186.59/186.33 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 186.59/186.33 => ( 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)) % 186.59/186.33 => 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)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bijI,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 => ( 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)) % 186.59/186.33 => 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__def,axiom, % 186.59/186.33 ! [V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 186.59/186.33 & 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)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_split__curry,axiom, % 186.59/186.33 ! [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 ). % 186.59/186.33 % 186.59/186.33 fof(fact_curry__split,axiom, % 186.59/186.33 ! [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 ). % 186.59/186.33 % 186.59/186.33 fof(fact_vimage__subset__eq,axiom, % 186.59/186.33 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( 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)) % 186.59/186.33 <=> 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bij__vimage__eq__inv__image,axiom, % 186.59/186.33 ! [V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 186.59/186.33 ! [V_M_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 186.59/186.33 => ? [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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Cantor__Bernstein,axiom, % 186.59/186.33 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 186.59/186.33 => ( 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)) % 186.59/186.33 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 186.59/186.33 => ( 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)) % 186.59/186.33 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_ex__bij__betw__nat__finite,axiom, % 186.59/186.33 ! [V_M_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 186.59/186.33 => ? [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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_ex__bij__betw__finite__nat,axiom, % 186.59/186.33 ! [V_M_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 186.59/186.33 => ? [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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_refl__on__UNION,axiom, % 186.59/186.33 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 186.59/186.33 ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 186.59/186.33 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bex__reg__eqv,axiom, % 186.59/186.33 ! [V_Pa_2,V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.59/186.33 => ( ? [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 186.59/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.59/186.33 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_in__respects,axiom, % 186.59/186.33 ! [V_R_2,V_x_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 186.59/186.33 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Respects__def,axiom, % 186.59/186.33 ! [V_x_2,V_R_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 186.59/186.33 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_bex__reg__right,axiom, % 186.59/186.33 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.59/186.33 => ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(V_Qa_2,B_x)) % 186.59/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 186.59/186.33 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1)) % 186.59/186.33 => ? [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 186.59/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_babs__reg__eqv,axiom, % 186.59/186.33 ! [V_Pa_2,T_c,V_R_2,T_b] : % 186.59/186.33 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 186.59/186.33 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_Babs__def,axiom, % 186.59/186.33 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 186.59/186.33 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_wf__weak__decr__stable,axiom, % 186.59/186.33 ! [V_r_2,V_f_2,T_b] : % 186.59/186.33 ( ! [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))) % 186.59/186.33 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 186.59/186.33 => ? [B_i] : % 186.59/186.33 ! [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) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_INT__greatest,axiom, % 186.59/186.33 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 186.59/186.33 ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.59/186.33 => 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))) ) % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_INT__anti__mono,axiom, % 186.59/186.33 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 186.59/186.33 => ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 186.59/186.33 => 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))) ) % 186.59/186.33 => 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_converse__rtranclE2,axiom, % 186.59/186.33 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( 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) % 186.59/186.33 => ~ ! [B_a,B_b] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ~ 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))) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_rtrancl__induct2,axiom, % 186.59/186.33 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) % 186.59/186.33 => ( ! [B_a,B_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ! [B_aa,B_ba] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) ) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_converse__rtrancl__induct2,axiom, % 186.59/186.33 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) % 186.59/186.33 => ( ! [B_a,B_b,B_aa,B_ba] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ( 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))) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) ) % 186.59/186.33 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_congruent2I_H,axiom, % 186.59/186.33 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 186.59/186.33 ( ! [B_y1,B_z1] : % 186.59/186.33 ( 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)) % 186.59/186.33 => ! [B_y2,B_z2] : % 186.59/186.33 ( 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)) % 186.59/186.33 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 186.59/186.33 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_congruentI,axiom, % 186.59/186.33 ! [T_c,V_f_2,V_r_2,T_b] : % 186.59/186.33 ( ! [B_y,B_z] : % 186.59/186.33 ( 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)) % 186.59/186.33 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 186.59/186.33 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact__03,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_all__interval__nat__def,axiom, % 186.59/186.33 ! [V_j_2,V_i_2,V_Pa_2] : % 186.59/186.33 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) % 186.59/186.33 <=> ! [B_x] : % 186.59/186.33 ( 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))) % 186.59/186.33 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact__04,axiom, % 186.59/186.33 ! [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) ). % 186.59/186.33 % 186.59/186.33 fof(fact_list__all__iff__all__interval__nat,axiom, % 186.59/186.33 ! [V_j_2,V_i_2,V_Pa_2] : % 186.59/186.33 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 186.59/186.33 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 186.59/186.33 ! [V_j_2,V_i_2,V_Pa_2] : % 186.59/186.33 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 186.59/186.33 <=> ~ 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) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact__05,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_folding__image_Ocong,axiom, % 186.59/186.33 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 186.59/186.33 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 186.59/186.33 => ( ! [B_x] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 186.59/186.33 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 186.59/186.33 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact__06,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact__07,axiom, % 186.59/186.33 ! [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) ). % 186.59/186.33 % 186.59/186.33 fof(fact_New__DSequence_Opos__map__def,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_power__dvd__imp__le,axiom, % 186.59/186.33 ! [V_n,V_m,V_i] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_Oorder__refl,axiom, % 186.59/186.33 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__0__right,axiom, % 186.59/186.33 ! [V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__1__left,axiom, % 186.59/186.33 ! [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)) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__imp__le,axiom, % 186.59/186.33 ! [V_n,V_k] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult__cancel,axiom, % 186.59/186.33 ! [V_n,V_m,V_k] : % 186.59/186.33 ( 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))) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_nat__mult__dvd__cancel1,axiom, % 186.59/186.33 ! [V_n_2,V_m_2,V_k_2] : % 186.59/186.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 186.59/186.33 => ( 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_n_2))) % 186.59/186.33 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_setprod__dvd__setprod__subset,axiom, % 186.59/186.33 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 186.59/186.33 ( ( class_Groups_Ocomm__monoid__mult(T_c) % 186.59/186.33 & class_Rings_Odvd(T_c) ) % 186.59/186.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 186.59/186.33 => 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))) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inf__period_I3_J,axiom, % 186.59/186.33 ! [V_t_2,V_D_2,V_d_2,T_b] : % 186.59/186.33 ( ( class_Rings_Ocomm__ring(T_b) % 186.59/186.33 & class_Rings_Odvd(T_b) ) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 186.59/186.33 => ! [B_x,B_k] : % 186.59/186.33 ( 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))) % 186.59/186.33 <=> 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))) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_inf__period_I4_J,axiom, % 186.59/186.33 ! [V_t_2,V_D_2,V_d_2,T_b] : % 186.59/186.33 ( ( class_Rings_Ocomm__ring(T_b) % 186.59/186.33 & class_Rings_Odvd(T_b) ) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 186.59/186.33 => ! [B_x,B_k] : % 186.59/186.33 ( 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))) % 186.59/186.33 <=> 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))) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__div__div__eq__mult,axiom, % 186.59/186.33 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_b) % 186.59/186.33 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.59/186.33 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2)) % 186.59/186.33 => ( 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) % 186.59/186.33 <=> 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) ) ) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__div__eq__mult,axiom, % 186.59/186.33 ! [V_c_2,V_b_2,V_a_2,T_b] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_b) % 186.59/186.33 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 186.59/186.33 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2 % 186.59/186.33 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult__cancel__right,axiom, % 186.59/186.33 ! [V_b_2,V_c_2,V_a_2,T_b] : % 186.59/186.33 ( class_Rings_Oidom(T_b) % 186.59/186.33 => ( 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))) % 186.59/186.33 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.59/186.33 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult__cancel__left,axiom, % 186.59/186.33 ! [V_b_2,V_a_2,V_c_2,T_b] : % 186.59/186.33 ( class_Rings_Oidom(T_b) % 186.59/186.33 => ( 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))) % 186.59/186.33 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 186.59/186.33 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__triv__left,axiom, % 186.59/186.33 ! [V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__triv__right,axiom, % 186.59/186.33 ! [V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult2,axiom, % 186.59/186.33 ! [V_c,V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 186.59/186.33 => 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult,axiom, % 186.59/186.33 ! [V_b,V_c,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 186.59/186.33 => 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))) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_mult__dvd__mono,axiom, % 186.59/186.33 ! [V_d,V_c,V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 186.59/186.33 => 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))) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvdI,axiom, % 186.59/186.33 ! [V_k,V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Odvd(T_a) % 186.59/186.33 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult__left,axiom, % 186.59/186.33 ! [V_c,V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => ( 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)) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult__right,axiom, % 186.59/186.33 ! [V_c,V_b,V_a,T_a] : % 186.59/186.33 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.33 => ( 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)) % 186.59/186.33 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__mult__div__cancel,axiom, % 186.59/186.33 ! [V_b,V_a,T_a] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 186.59/186.33 => 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 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_div__mult__swap,axiom, % 186.59/186.33 ! [V_a,V_b,V_c,T_a] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 186.59/186.33 => 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) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__div__mult__self,axiom, % 186.59/186.33 ! [V_b,V_a,T_a] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 186.59/186.33 => 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 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd__div__mult,axiom, % 186.59/186.33 ! [V_c,V_b,V_a,T_a] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 186.59/186.33 => 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) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_div__mult__div__if__dvd,axiom, % 186.59/186.33 ! [V_w,V_z,V_x,V_y,T_a] : % 186.59/186.33 ( class_Divides_Osemiring__div(T_a) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 186.59/186.33 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 186.59/186.33 => 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)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 186.59/186.33 ! [V_n_2,V_m_2,V_k_2] : % 186.59/186.33 ( 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_n_2))) % 186.59/186.33 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 186.59/186.33 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_unity__coeff__ex,axiom, % 186.59/186.33 ! [V_l_2,V_Pa_2,T_b] : % 186.59/186.33 ( ( class_Rings_Odvd(T_b) % 186.59/186.33 & class_Rings_Osemiring__0(T_b) ) % 186.59/186.33 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 186.59/186.33 <=> ? [B_x] : % 186.59/186.33 ( 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)))) % 186.59/186.33 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 186.59/186.33 ! [V_c_2,V_b_2,V_a_2] : % 186.59/186.33 ( 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))) % 186.59/186.33 <=> ( V_a_2 = V_b_2 % 186.59/186.33 & V_b_2 = V_c_2 ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 186.59/186.33 ! [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))) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 186.59/186.33 ! [V_b_2,V_a_2] : % 186.59/186.33 ( V_a_2 = V_b_2 % 186.59/186.33 => 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))) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom, % 186.59/186.33 ! [V_b_2,V_a_2] : % 186.59/186.33 ( 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) % 186.59/186.33 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastatMost__empty__iff,axiom, % 186.59/186.33 ! [V_b_2,V_a_2] : % 186.59/186.33 ( 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)) % 186.59/186.33 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastatMost__empty,axiom, % 186.59/186.33 ! [V_a_2,V_b_2] : % 186.59/186.33 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 186.59/186.33 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) % 186.59/186.33 => 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)) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 186.59/186.33 ! [V_b_2,V_a_2] : % 186.59/186.33 ( 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) % 186.59/186.33 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 186.59/186.33 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 186.59/186.33 % 186.59/186.33 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 186.59/186.33 ! [V_l_2,V_k_2] : % 186.59/186.33 ( 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) % 186.59/186.34 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 186.59/186.34 ! [V_b_2,V_a_2] : % 186.59/186.34 ( 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)) % 186.59/186.34 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 186.59/186.34 ! [V_l_2,V_k_2] : % 186.59/186.34 ( 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)) % 186.59/186.34 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 186.59/186.34 ! [V_k_2,V_l_2] : % 186.59/186.34 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 186.59/186.34 => 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)) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 186.59/186.34 ! [V_a_2,V_b_2] : % 186.59/186.34 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 186.59/186.34 => 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)) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 186.59/186.34 ! [V_k_2,V_l_2] : % 186.59/186.34 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 186.59/186.34 => 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)) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__minus__iff,axiom, % 186.59/186.34 ! [V_y_2,V_x_2,T_b] : % 186.59/186.34 ( class_Rings_Ocomm__ring__1(T_b) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 186.59/186.34 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_minus__dvd__iff,axiom, % 186.59/186.34 ! [V_y_2,V_x_2,T_b] : % 186.59/186.34 ( class_Rings_Ocomm__ring__1(T_b) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2)) % 186.59/186.34 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__div__neg,axiom, % 186.59/186.34 ! [V_x,V_y,T_a] : % 186.59/186.34 ( class_Divides_Oring__div(T_a) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 186.59/186.34 => 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)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__neg__div,axiom, % 186.59/186.34 ! [V_x,V_y,T_a] : % 186.59/186.34 ( class_Divides_Oring__div(T_a) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 186.59/186.34 => 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)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__1__iff__1,axiom, % 186.59/186.34 ! [V_m_2] : % 186.59/186.34 ( 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)))) % 186.59/186.34 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_nat__dvd__not__less,axiom, % 186.59/186.34 ! [V_n,V_m] : % 186.59/186.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 186.59/186.34 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__diff,axiom, % 186.59/186.34 ! [V_z,V_y,V_x,T_a] : % 186.59/186.34 ( class_Rings_Ocomm__ring__1(T_a) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z)) % 186.59/186.34 => 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))) ) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__diff__nat,axiom, % 186.59/186.34 ! [V_n,V_m,V_k] : % 186.59/186.34 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 186.59/186.34 => 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))) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_div__add,axiom, % 186.59/186.34 ! [V_y,V_x,V_z,T_a] : % 186.59/186.34 ( class_Divides_Osemiring__div(T_a) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x)) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y)) % 186.59/186.34 => 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)) ) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom, % 186.59/186.34 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 186.59/186.34 ( 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))) % 186.59/186.34 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 186.59/186.34 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 186.59/186.34 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 186.59/186.34 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) ) % 186.59/186.34 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) ) % 186.59/186.34 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__reduce,axiom, % 186.59/186.34 ! [V_n_2,V_k_2] : % 186.59/186.34 ( 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_n_2),V_k_2))) % 186.59/186.34 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__add,axiom, % 186.59/186.34 ! [V_c,V_b,V_a,T_a] : % 186.59/186.34 ( class_Rings_Ocomm__semiring__1(T_a) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 186.59/186.34 => 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))) ) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__if__abs__eq,axiom, % 186.59/186.34 ! [V_k,V_l,T_a] : % 186.59/186.34 ( class_Rings_Olinordered__idom(T_a) % 186.59/186.34 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) % 186.59/186.34 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_abs__dvd__iff,axiom, % 186.59/186.34 ! [V_k_2,V_m_2,T_b] : % 186.59/186.34 ( class_Rings_Olinordered__idom(T_b) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2)) % 186.59/186.34 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd__abs__iff,axiom, % 186.59/186.34 ! [V_k_2,V_m_2,T_b] : % 186.59/186.34 ( class_Rings_Olinordered__idom(T_b) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2))) % 186.59/186.34 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__asym,axiom, % 186.59/186.34 ! [V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__trans,axiom, % 186.59/186.34 ! [V_z,V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__asym_H,axiom, % 186.59/186.34 ! [V_b,V_a] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 186.59/186.34 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__le__trans,axiom, % 186.59/186.34 ! [V_z,V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oord__less__eq__trans,axiom, % 186.59/186.34 ! [V_c,V_b,V_a] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 186.59/186.34 => ( V_b = V_c % 186.59/186.34 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__imp__not__eq2,axiom, % 186.59/186.34 ! [V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => V_y != V_x ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__imp__not__eq,axiom, % 186.59/186.34 ! [V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => V_x != V_y ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__imp__not__less,axiom, % 186.59/186.34 ! [V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__imp__le,axiom, % 186.59/186.34 ! [V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 186.59/186.34 % 186.59/186.34 fof(fact_dvd_Oless__not__sym,axiom, % 186.59/186.34 ! [V_y,V_x] : % 186.59/186.34 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 186.59/186.34 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 186.59/186.34 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 186.59/186.34 % 186.59/186.34 %----Arity declarations (238) % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 186.59/186.34 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Obounded__lattice(T_1) % 186.59/186.34 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 186.59/186.34 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Obounded__lattice(T_1) % 186.59/186.34 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Obounded__lattice(T_1) % 186.59/186.34 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Olattice(T_1) % 186.59/186.34 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Olattice(T_1) % 186.59/186.34 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Odistrib__lattice(T_1) % 186.59/186.34 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Oboolean__algebra(T_1) % 186.59/186.34 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Orderings_Opreorder,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Orderings_Opreorder(T_1) % 186.59/186.34 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Finite__Set_Ofinite,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Finite__Set_Ofinite(T_2) % 186.59/186.34 & class_Finite__Set_Ofinite(T_1) ) % 186.59/186.34 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Lattices_Olattice,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Lattices_Olattice(T_1) % 186.59/186.34 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Orderings_Oorder,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Orderings_Oorder(T_1) % 186.59/186.34 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Orderings_Otop,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Orderings_Otop(T_1) % 186.59/186.34 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Orderings_Oord,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Orderings_Oord(T_1) % 186.59/186.34 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Orderings_Obot,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Orderings_Obot(T_1) % 186.59/186.34 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Groups_Ouminus,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Groups_Ouminus(T_1) % 186.59/186.34 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Groups_Ominus,axiom, % 186.59/186.34 ! [T_2,T_1] : % 186.59/186.34 ( class_Groups_Ominus(T_1) % 186.59/186.34 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Enum_Oenum(T_2) % 186.59/186.34 & class_HOL_Oequal(T_1) ) % 186.59/186.34 => class_HOL_Oequal(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_fun__Enum_Oenum,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Enum_Oenum(T_2) % 186.59/186.34 & class_Enum_Oenum(T_1) ) % 186.59/186.34 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Com__Ocom__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Com_Ocom) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Com__Ocom__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_Com_Ocom) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 186.59/186.34 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 186.59/186.34 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 186.59/186.34 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 186.59/186.34 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 186.59/186.34 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 186.59/186.34 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 186.59/186.34 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 186.59/186.34 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 186.59/186.34 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 186.59/186.34 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 186.59/186.34 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 186.59/186.34 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 186.59/186.34 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 186.59/186.34 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 186.59/186.34 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 186.59/186.34 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 186.59/186.34 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 186.59/186.34 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 186.59/186.34 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 186.59/186.34 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 186.59/186.34 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 186.59/186.34 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 186.59/186.34 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 186.59/186.34 class_Divides_Osemiring__div(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 186.59/186.34 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 186.59/186.34 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 186.59/186.34 class_Groups_Oab__group__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 186.59/186.34 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 186.59/186.34 class_Rings_Oordered__ring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 186.59/186.34 class_Orderings_Opreorder(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 186.59/186.34 class_Orderings_Olinorder(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 186.59/186.34 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 186.59/186.34 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 186.59/186.34 class_Groups_Omonoid__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 186.59/186.34 class_Rings_Osemiring__1(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 186.59/186.34 class_Rings_Osemiring__0(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 186.59/186.34 class_Lattices_Olattice(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 186.59/186.34 class_Groups_Ogroup__add(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 186.59/186.34 class_Divides_Oring__div(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 186.59/186.34 class_Rings_Omult__zero(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 186.59/186.34 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 186.59/186.34 class_Orderings_Oorder(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 186.59/186.34 class_Int_Oring__char__0(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 186.59/186.34 class_Int_Onumber__ring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 186.59/186.34 class_Rings_Osemiring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Orderings_Oord,axiom, % 186.59/186.34 class_Orderings_Oord(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 186.59/186.34 class_Groups_Ouminus(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 186.59/186.34 class_Groups_Osgn__if(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 186.59/186.34 class_Groups_Oabs__if(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 186.59/186.34 class_Rings_Oring__1(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ominus,axiom, % 186.59/186.34 class_Groups_Ominus(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Power_Opower,axiom, % 186.59/186.34 class_Power_Opower(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Ozero,axiom, % 186.59/186.34 class_Groups_Ozero(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oring,axiom, % 186.59/186.34 class_Rings_Oring(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Oidom,axiom, % 186.59/186.34 class_Rings_Oidom(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Int_Onumber,axiom, % 186.59/186.34 class_Int_Onumber(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Groups_Oone,axiom, % 186.59/186.34 class_Groups_Oone(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__Rings_Odvd,axiom, % 186.59/186.34 class_Rings_Odvd(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Int__Oint__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Int_Oint) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 186.59/186.34 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 186.59/186.34 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 186.59/186.34 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 186.59/186.34 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 186.59/186.34 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 186.59/186.34 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 186.59/186.34 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 186.59/186.34 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 186.59/186.34 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 186.59/186.34 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 186.59/186.34 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 186.59/186.34 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 186.59/186.34 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 186.59/186.34 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 186.59/186.34 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 186.59/186.34 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 186.59/186.34 class_Orderings_Owellorder(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 186.59/186.34 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 186.59/186.34 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 186.59/186.34 class_Orderings_Opreorder(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 186.59/186.34 class_Orderings_Olinorder(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 186.59/186.34 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 186.59/186.34 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 186.59/186.34 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 186.59/186.34 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 186.59/186.34 class_Lattices_Olattice(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 186.59/186.34 class_Rings_Omult__zero(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 186.59/186.34 class_Orderings_Oorder(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 186.59/186.34 class_Rings_Osemiring(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 186.59/186.34 class_Orderings_Oord(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 186.59/186.34 class_Orderings_Obot(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 186.59/186.34 class_Groups_Ominus(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Power_Opower,axiom, % 186.59/186.34 class_Power_Opower(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 186.59/186.34 class_Groups_Ozero(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Int_Onumber,axiom, % 186.59/186.34 class_Int_Onumber(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Groups_Oone,axiom, % 186.59/186.34 class_Groups_Oone(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 186.59/186.34 class_Rings_Odvd(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nat__Onat__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_Nat_Onat) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 186.59/186.34 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 186.59/186.34 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 186.59/186.34 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 186.59/186.34 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 186.59/186.34 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 186.59/186.34 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 186.59/186.34 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 186.59/186.34 class_Orderings_Opreorder(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 186.59/186.34 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 186.59/186.34 class_Lattices_Olattice(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 186.59/186.34 class_Orderings_Oorder(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 186.59/186.34 class_Orderings_Otop(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 186.59/186.34 class_Orderings_Oord(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 186.59/186.34 class_Orderings_Obot(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 186.59/186.34 class_Groups_Ouminus(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 186.59/186.34 class_Groups_Ominus(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 186.59/186.34 class_Enum_Oenum(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_HOL__Obool__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_HOL_Obool) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Com__Ostate__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Com_Ostate) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Com__Ostate__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_Com_Ostate) ). % 186.59/186.34 % 186.59/186.34 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 186.59/186.34 ! [T_1] : % 186.59/186.34 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 186.59/186.34 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_List__Olist__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1] : class_HOL_Oequal(tc_List_Olist(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_List__Olist__Nat_Osize,axiom, % 186.59/186.34 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_sum__Finite__Set_Ofinite,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Finite__Set_Ofinite(T_2) % 186.59/186.34 & class_Finite__Set_Ofinite(T_1) ) % 186.59/186.34 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_sum__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1,T_2] : class_HOL_Oequal(tc_sum(T_2,T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_sum__Enum_Oenum,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Enum_Oenum(T_2) % 186.59/186.34 & class_Enum_Oenum(T_1) ) % 186.59/186.34 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_sum__Nat_Osize,axiom, % 186.59/186.34 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 186.59/186.34 ! [T_1] : % 186.59/186.34 ( class_Finite__Set_Ofinite(T_1) % 186.59/186.34 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Option__Ooption__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1] : class_HOL_Oequal(tc_Option_Ooption(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 186.59/186.34 ! [T_1] : % 186.59/186.34 ( class_Enum_Oenum(T_1) % 186.59/186.34 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Option__Ooption__Nat_Osize,axiom, % 186.59/186.34 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nitpick__Opair____box__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1,T_2] : class_HOL_Oequal(tc_Nitpick_Opair__box(T_2,T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 186.59/186.34 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 186.59/186.34 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 186.59/186.34 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_prod__Finite__Set_Ofinite,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Finite__Set_Ofinite(T_2) % 186.59/186.34 & class_Finite__Set_Ofinite(T_1) ) % 186.59/186.34 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_prod__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1,T_2] : class_HOL_Oequal(tc_prod(T_2,T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_prod__Enum_Oenum,axiom, % 186.59/186.34 ! [T_1,T_2] : % 186.59/186.34 ( ( class_Enum_Oenum(T_2) % 186.59/186.34 & class_Enum_Oenum(T_1) ) % 186.59/186.34 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 186.59/186.34 % 186.59/186.34 fof(arity_prod__Nat_Osize,axiom, % 186.59/186.34 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 186.59/186.34 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 186.59/186.34 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Product____Type__Ounit__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Product__Type_Ounit) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 186.59/186.34 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_Product__Type_Ounit) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Evaluation__Oterm__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Code__Evaluation_Oterm) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Hoare____Mirabelle__Otriple__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 186.59/186.34 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 186.59/186.34 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 186.59/186.34 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 186.59/186.34 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 186.59/186.34 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 186.59/186.34 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 186.59/186.34 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 186.59/186.34 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 186.59/186.34 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 186.59/186.34 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 186.59/186.34 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 186.59/186.34 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 186.59/186.34 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 186.59/186.34 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 186.59/186.34 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 186.59/186.34 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 186.59/186.34 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 186.59/186.34 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 186.59/186.34 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 186.59/186.34 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 186.59/186.34 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 186.59/186.34 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 186.59/186.34 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 186.59/186.34 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 186.59/186.34 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 186.59/186.34 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 186.59/186.34 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 186.59/186.34 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 186.59/186.34 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 186.59/186.34 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 186.59/186.34 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 186.59/186.34 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 186.59/186.34 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 186.59/186.34 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__HOL_Oequal,axiom, % 186.59/186.34 class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 186.59/186.34 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal,axiom, % 186.59/186.34 ! [T_1] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 186.59/186.34 % 186.59/186.34 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 186.59/186.34 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 186.59/186.34 % 186.59/186.34 %----Helper facts (20) % 186.59/186.34 fof(help_c__COMBI__1,axiom, % 186.59/186.34 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 186.59/186.34 % 186.59/186.34 fof(help_c__COMBK__1,axiom, % 186.59/186.34 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 186.59/186.34 % 186.59/186.34 fof(help_c__COMBB__1,axiom, % 186.59/186.34 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__COMBC__1,axiom, % 186.59/186.34 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__COMBS__1,axiom, % 186.59/186.34 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fequal__1,axiom, % 186.59/186.34 ! [V_y_2,V_x_2] : % 186.59/186.34 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 186.59/186.34 | V_x_2 = V_y_2 ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fequal__2,axiom, % 186.59/186.34 ! [V_y_2,V_x_2] : % 186.59/186.34 ( V_x_2 != V_y_2 % 186.59/186.34 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fFalse__1,axiom, % 186.59/186.34 ~ hBOOL(c_fFalse) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fTrue__1,axiom, % 186.59/186.34 hBOOL(c_fTrue) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fNot__1,axiom, % 186.59/186.34 ! [V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 186.59/186.34 | ~ hBOOL(V_Pa_2) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fNot__2,axiom, % 186.59/186.34 ! [V_Pa_2] : % 186.59/186.34 ( ~ ~ hBOOL(V_Pa_2) % 186.59/186.34 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fconj__1,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(V_Pa_2) % 186.59/186.34 | ~ hBOOL(V_Qa_2) % 186.59/186.34 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fconj__2,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 186.59/186.34 | hBOOL(V_Pa_2) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fconj__3,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 186.59/186.34 | hBOOL(V_Qa_2) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fdisj__1,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(V_Pa_2) % 186.59/186.34 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fdisj__2,axiom, % 186.59/186.34 ! [V_Pa_2,V_Qa_2] : % 186.59/186.34 ( ~ hBOOL(V_Qa_2) % 186.59/186.34 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fdisj__3,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) % 186.59/186.34 | hBOOL(V_Pa_2) % 186.59/186.34 | hBOOL(V_Qa_2) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fimplies__1,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( hBOOL(V_Pa_2) % 186.59/186.34 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fimplies__2,axiom, % 186.59/186.34 ! [V_Pa_2,V_Qa_2] : % 186.59/186.34 ( ~ hBOOL(V_Qa_2) % 186.59/186.34 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 186.59/186.34 % 186.59/186.34 fof(help_c__fimplies__3,axiom, % 186.59/186.34 ! [V_Qa_2,V_Pa_2] : % 186.59/186.34 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) % 186.59/186.34 | ~ hBOOL(V_Pa_2) % 186.59/186.34 | hBOOL(V_Qa_2) ) ). % 186.59/186.34 % 186.59/186.34 %----Conjectures (2) % 186.59/186.34 fof(conj_0,hypothesis, % 186.59/186.34 ! [B_Z,B_s] : % 186.59/186.34 ( v_P(B_Z,B_s) % 186.59/186.34 => v_Q(B_Z,B_s) ) ). % 186.59/186.34 % 186.59/186.34 fof(conj_1,conjecture, % 186.59/186.34 ! [B_Z,B_s] : % 186.59/186.34 ( v_P(B_Z,B_s) % 186.59/186.34 => ! [B_s_H] : % 186.59/186.34 ( ! [B_Z_H] : % 186.59/186.34 ( v_Sledgehammer_058P_H__2(B_Z_H,B_s) % 186.59/186.34 => v_Sledgehammer_058P_H__2(B_Z_H,B_s_H) ) % 186.59/186.34 => v_Q(B_Z,B_s_H) ) ) ). % 186.59/186.34 % 186.59/186.34 %------------------------------------------------------------------------------ % 186.59/186.34 %------------------------------------------- % 186.59/186.34 % Proof found % 186.59/186.34 % SZS status Theorem for theBenchmark % 186.59/186.34 % SZS output start Proof % 186.59/186.34 %ClaNum:10489(EqnAxiom:3107) % 186.59/186.34 %VarNum:70945(SingletonVarNum:20473) % 186.59/186.34 %MaxLitNum:8 % 186.59/186.34 %MaxfuncDepth:13 % 186.59/186.34 %SharedTerms:1012 % 186.59/186.34 %goalClause: 3330 4668 4774 % 186.59/186.34 %singleGoalClaCount:2 % 186.59/186.34 [3111]P1(a180) % 186.59/186.34 [3112]P2(a919) % 186.59/186.34 [3113]P2(a920) % 186.59/186.34 [3114]P2(a921) % 186.59/186.34 [3115]P2(a924) % 186.59/186.34 [3116]P2(a927) % 186.59/186.34 [3117]P2(a1) % 186.59/186.34 [3118]P2(a92) % 186.59/186.34 [3119]P2(a315) % 186.59/186.34 [3120]P3(a921) % 186.59/186.34 [3121]P91(a921) % 186.59/186.34 [3122]P91(a924) % 186.59/186.34 [3123]P91(a1) % 186.59/186.34 [3124]P91(a92) % 186.59/186.34 [3125]P111(a921) % 186.59/186.34 [3126]P92(a921) % 186.59/186.34 [3127]P92(a924) % 186.59/186.34 [3128]P108(a921) % 186.59/186.34 [3129]P108(a924) % 186.59/186.34 [3130]P108(a1) % 186.59/186.34 [3131]P108(a92) % 186.59/186.34 [3132]P109(a924) % 186.59/186.34 [3133]P109(a1) % 186.59/186.34 [3134]P109(a92) % 186.59/186.34 [3135]P110(a921) % 186.59/186.34 [3136]P110(a924) % 186.59/186.34 [3137]P110(a1) % 186.59/186.34 [3138]P110(a92) % 186.59/186.34 [3139]P93(a921) % 186.59/186.34 [3140]P93(a924) % 186.59/186.34 [3141]P93(a1) % 186.59/186.34 [3142]P58(a921) % 186.59/186.34 [3143]P58(a924) % 186.59/186.34 [3144]P58(a1) % 186.59/186.34 [3145]P58(a92) % 186.59/186.34 [3146]P94(a921) % 186.59/186.34 [3147]P103(a921) % 186.59/186.34 [3148]P103(a924) % 186.59/186.34 [3149]P103(a1) % 186.59/186.34 [3150]P104(a921) % 186.59/186.34 [3151]P104(a924) % 186.59/186.34 [3152]P104(a1) % 186.59/186.34 [3153]P95(a921) % 186.59/186.34 [3154]P102(a921) % 186.59/186.34 [3155]P102(a924) % 186.59/186.34 [3156]P102(a1) % 186.59/186.34 [3157]P78(a1) % 186.59/186.34 [3158]P59(a1) % 186.59/186.34 [3159]P96(a921) % 186.59/186.34 [3160]P68(a1) % 186.59/186.34 [3161]P82(a921) % 186.59/186.34 [3162]P82(a1) % 186.59/186.34 [3163]P69(a924) % 186.59/186.34 [3164]P69(a1) % 186.59/186.34 [3165]P69(a92) % 186.59/186.34 [3166]P112(a1) % 186.59/186.34 [3167]P125(a1) % 186.59/186.34 [3168]P113(a1) % 186.59/186.34 [3169]P60(a921) % 186.59/186.34 [3170]P60(a927) % 186.59/186.34 [3171]P71(a924) % 186.59/186.34 [3172]P71(a1) % 186.59/186.34 [3173]P71(a92) % 186.59/186.34 [3174]P72(a924) % 186.59/186.34 [3175]P72(a1) % 186.59/186.34 [3176]P72(a92) % 186.59/186.34 [3177]P83(a924) % 186.59/186.34 [3178]P83(a1) % 186.59/186.34 [3179]P83(a92) % 186.59/186.34 [3180]P70(a924) % 186.59/186.34 [3181]P70(a1) % 186.59/186.34 [3182]P70(a92) % 186.59/186.34 [3183]P73(a924) % 186.59/186.34 [3184]P73(a1) % 186.59/186.34 [3185]P73(a92) % 186.59/186.34 [3186]P74(a924) % 186.59/186.34 [3187]P74(a1) % 186.59/186.34 [3188]P74(a92) % 186.59/186.34 [3189]P84(a924) % 186.59/186.34 [3190]P84(a1) % 186.59/186.34 [3191]P84(a92) % 186.59/186.34 [3192]P85(a924) % 186.59/186.34 [3193]P85(a1) % 186.59/186.34 [3194]P85(a92) % 186.59/186.34 [3195]P140(a924) % 186.59/186.34 [3196]P140(a1) % 186.59/186.34 [3197]P140(a92) % 186.59/186.34 [3198]P114(a924) % 186.59/186.34 [3199]P114(a1) % 186.59/186.34 [3200]P114(a92) % 186.59/186.34 [3201]P126(a1) % 186.59/186.34 [3202]P115(a1) % 186.59/186.34 [3203]P119(a924) % 186.59/186.34 [3204]P119(a1) % 186.59/186.34 [3205]P119(a92) % 186.59/186.34 [3206]P144(a924) % 186.59/186.34 [3207]P144(a1) % 186.59/186.34 [3208]P79(a924) % 186.59/186.34 [3209]P79(a1) % 186.59/186.34 [3210]P79(a92) % 186.59/186.34 [3211]P80(a924) % 186.59/186.34 [3212]P80(a1) % 186.59/186.34 [3213]P80(a92) % 186.59/186.34 [3214]P127(a924) % 186.59/186.34 [3215]P127(a1) % 186.59/186.34 [3216]P127(a92) % 186.59/186.34 [3217]P141(a1) % 186.59/186.34 [3218]P130(a1) % 186.59/186.34 [3219]P90(a924) % 186.59/186.34 [3220]P90(a1) % 186.59/186.34 [3221]P90(a92) % 186.59/186.34 [3222]P81(a924) % 186.59/186.34 [3223]P81(a1) % 186.59/186.34 [3224]P81(a92) % 186.59/186.34 [3225]P76(a1) % 186.59/186.34 [3226]P133(a924) % 186.59/186.34 [3227]P133(a1) % 186.59/186.34 [3228]P133(a92) % 186.59/186.34 [3229]P143(a1) % 186.59/186.34 [3230]P134(a924) % 186.59/186.34 [3231]P134(a1) % 186.59/186.34 [3232]P134(a92) % 186.59/186.34 [3233]P145(a924) % 186.59/186.34 [3234]P145(a1) % 186.59/186.34 [3235]P145(a92) % 186.59/186.34 [3236]P87(a924) % 186.59/186.34 [3237]P87(a1) % 186.59/186.34 [3238]P87(a92) % 186.59/186.34 [3239]P136(a924) % 186.59/186.34 [3240]P136(a1) % 186.59/186.34 [3241]P136(a92) % 186.59/186.34 [3242]P138(a924) % 186.59/186.34 [3243]P138(a1) % 186.59/186.34 [3244]P138(a92) % 186.59/186.34 [3245]P137(a924) % 186.59/186.34 [3246]P137(a1) % 186.59/186.34 [3247]P137(a92) % 186.59/186.34 [3248]P128(a1) % 186.59/186.34 [3249]P129(a1) % 186.59/186.34 [3250]P123(a924) % 186.59/186.34 [3251]P123(a1) % 186.59/186.34 [3252]P123(a92) % 186.59/186.34 [3253]P135(a924) % 186.59/186.34 [3254]P135(a1) % 186.59/186.34 [3255]P135(a92) % 186.59/186.34 [3256]P131(a924) % 186.59/186.34 [3257]P131(a1) % 186.59/186.34 [3258]P131(a92) % 186.59/186.34 [3259]P132(a1) % 186.59/186.34 [3260]P142(a1) % 186.59/186.34 [3261]P97(a1) % 186.59/186.34 [3262]P88(a1) % 186.59/186.34 [3263]P98(a1) % 186.59/186.34 [3264]P99(a924) % 186.59/186.34 [3265]P99(a1) % 186.59/186.34 [3266]P99(a92) % 186.59/186.34 [3267]P116(a924) % 186.59/186.34 [3268]P116(a1) % 186.59/186.34 [3269]P116(a92) % 186.59/186.34 [3270]P146(a924) % 186.59/186.34 [3271]P146(a1) % 186.59/186.34 [3272]P146(a92) % 186.59/186.34 [3273]P105(a924) % 186.59/186.34 [3274]P105(a1) % 186.59/186.34 [3275]P105(a92) % 186.59/186.34 [3276]P61(a924) % 186.59/186.34 [3277]P61(a1) % 186.59/186.34 [3278]P61(a92) % 186.59/186.34 [3279]P147(a924) % 186.59/186.34 [3280]P147(a1) % 186.59/186.34 [3281]P147(a92) % 186.59/186.34 [3282]P62(a1) % 186.59/186.34 [3283]P86(a1) % 186.59/186.34 [3284]P139(a1) % 186.59/186.34 [3285]P75(a1) % 186.59/186.34 [3286]P77(a924) % 186.59/186.34 [3287]P77(a1) % 186.59/186.34 [3288]P77(a92) % 186.59/186.34 [3289]P117(a924) % 186.59/186.34 [3290]P89(a924) % 186.59/186.34 [3291]P89(a1) % 186.59/186.34 [3292]P89(a92) % 186.59/186.34 [3293]P63(a921) % 186.59/186.34 [3294]P63(a927) % 186.59/186.34 [3295]P107(a919) % 186.59/186.34 [3296]P107(a920) % 186.59/186.34 [3297]P107(a921) % 186.59/186.34 [3298]P107(a924) % 186.59/186.34 [3299]P107(a927) % 186.59/186.34 [3300]P107(a92) % 186.59/186.34 [3301]P107(a315) % 186.59/186.34 [3302]P106(a927) % 186.59/186.34 [3303]P106(a1) % 186.59/186.34 [3304]P120(a924) % 186.59/186.34 [3305]P120(a1) % 186.59/186.34 [3306]P120(a92) % 186.59/186.34 [3307]P118(a1) % 186.59/186.34 [3308]P101(a921) % 186.59/186.34 [3327]P35(a924,a232) % 186.59/186.34 [3328]P35(a924,a309) % 186.59/186.34 [3329]P36(a924,a232) % 186.59/186.34 [3330]P150(a316,a861) % 186.59/186.34 [4664]~E(a90,a76) % 186.59/186.34 [4665]~P25(a5000) % 186.59/186.34 [4666]~P1(a231) % 186.59/186.34 [4668]~P151(a316,a863) % 186.59/186.34 [3108]E(f2(a1),a76) % 186.59/186.34 [3109]E(f3(a92),a4) % 186.59/186.34 [3110]E(f93(a92),a5) % 186.59/186.34 [3309]E(f181(a924),f2(a924)) % 186.59/186.34 [3310]E(f94(a924),f225(a924)) % 186.59/186.34 [3311]E(f103(a924),f226(a924)) % 186.59/186.34 [3312]E(f95(a1),f25(a1)) % 186.59/186.34 [3313]E(f77(a231),f2(a924)) % 186.59/186.34 [3314]E(f77(a180),f2(a924)) % 186.59/186.34 [3315]P4(f71(a1)) % 186.59/186.34 [3316]P4(f2(a1)) % 186.59/186.34 [3379]P35(f931(a924,a924),a26) % 186.59/186.34 [3725]E(f311(a924,a924,a232,a232),a26) % 186.59/186.34 [4667]~E(f71(a1),f2(a1)) % 186.59/186.34 [3317]E(f6(f2(a92)),f2(a924)) % 186.59/186.34 [3318]E(f104(f2(a924)),f2(a924)) % 186.59/186.34 [3332]E(f862(f72(a1),a76),a76) % 186.59/186.34 [3335]E(f862(a105,f2(a924)),f71(a924)) % 186.59/186.34 [3336]E(f862(a97,f71(a1)),f71(a924)) % 186.59/186.34 [3337]E(f862(a5,f71(a924)),f71(a92)) % 186.59/186.34 [3339]E(f862(a5,f2(a924)),f2(a92)) % 186.59/186.34 [3341]E(f862(f96(a1),a76),f2(a1)) % 186.59/186.34 [3342]E(f862(f96(a92),a76),f2(a92)) % 186.59/186.34 [3343]E(f862(a97,f2(a1)),f2(a924)) % 186.59/186.34 [3344]E(f862(f96(a924),a76),f2(a924)) % 186.59/186.34 [3345]E(f862(f182(a921),a231),f2(a924)) % 186.59/186.34 [3346]E(f862(f182(a921),a180),f2(a924)) % 186.59/186.34 [3352]E(f862(f72(a1),f71(a1)),a90) % 186.59/186.34 [3359]E(f862(f72(a1),f2(a1)),f2(a1)) % 186.59/186.34 [3360]E(f862(f93(a1),f71(a924)),f71(a1)) % 186.59/186.34 [3361]E(f862(f93(a1),f2(a924)),f2(a1)) % 186.59/186.34 [3363]E(f862(f182(a92),f2(a92)),f2(a924)) % 186.59/186.34 [3376]E(f862(a97,f71(a1)),f862(a105,f2(a924))) % 186.59/186.34 [3377]E(f310(f931(a924,a924),a26),a27) % 186.59/186.34 [3378]E(f312(f931(a924,a924),a26),a62) % 186.59/186.34 [3405]E(f862(f274(a924),f2(a924)),f234(f932(a924,a921))) % 186.59/186.34 [3406]E(f862(f292(a924),f2(a924)),f181(f932(a924,a921))) % 186.59/186.34 [3415]P38(f181(f932(a1,a921))) % 186.59/186.34 [3449]E(f862(f862(f3(a92),f2(a92)),f71(a92)),f2(a92)) % 186.59/186.34 [3528]P1(f862(f862(f228(a1),a90),f2(a1))) % 186.59/186.34 [3552]P1(f862(f862(f227(a1),f2(a1)),f71(a1))) % 186.59/186.34 [3554]P1(f862(f862(f228(a1),f2(a1)),f71(a1))) % 186.59/186.34 [3756]E(f862(f862(f280(a924,a924,a924),a309),f299(a924,a309)),a232) % 186.59/186.34 [3793]P39(a1,a924,a97,f862(f227(a1),f2(a1))) % 186.59/186.34 [3797]E(f862(f862(f32(a924,f932(a924,a921)),f234(f932(a924,a921))),f293(a924)),f181(f932(a924,a921))) % 186.59/186.34 [3798]E(f862(f862(f33(a924,f932(a924,a921)),f234(f932(a924,a921))),f294(a924)),f234(f932(a924,a921))) % 186.59/186.34 [3799]E(f862(f862(f33(a924,f932(a924,a921)),f234(f932(a924,a921))),f274(a924)),f234(f932(a924,a921))) % 186.59/186.34 [3800]E(f862(f862(f33(a924,f932(a924,a921)),f234(f932(a924,a921))),f292(a924)),f234(f932(a924,a921))) % 186.59/186.34 [3815]P22(a924,a1,f93(a1),f234(f932(a924,a921))) % 186.59/186.34 [3829]P39(a924,a1,f93(a1),f862(f18(a921,a924),a180)) % 186.59/186.34 [3964]E(f862(f66(a924,a92,a1,a5),a97),f96(a92)) % 186.59/186.34 [4183]P54(a92,a924,a22,a5,f234(f932(a924,a921))) % 186.59/186.34 [4187]P54(a1,f932(f931(a924,a924),a921),a100,a82,a91) % 186.59/186.34 [4442]E(f250(a1,a1,a1,a1,f25(a1),f72(a1)),a44) % 186.59/186.34 [4677]~E(f862(f96(a1),a90),f862(f96(a1),a76)) % 186.59/186.34 [4678]~P1(f862(a186,f71(a1))) % 186.59/186.34 [4679]~P1(f862(a186,f2(a1))) % 186.59/186.34 [4706]~P1(f862(f862(f228(a1),a76),f2(a1))) % 186.59/186.34 [3397]E(f862(f862(f3(a1),a90),a90),a76) % 186.59/186.34 [3413]E(f862(f93(a1),f862(a105,f2(a924))),f71(a1)) % 186.59/186.34 [3479]E(f862(f28(a927),f234(f932(a927,a921))),f71(a924)) % 186.59/186.34 [3499]P1(f862(a186,f862(f96(a1),a90))) % 186.59/186.34 [3503]P1(f862(f862(f227(a1),a90),a76)) % 186.59/186.34 [3505]P1(f862(f862(f228(a1),a90),a76)) % 186.59/186.34 [3562]E(f862(f862(f301(a924),f2(a924)),f181(f932(a924,a921))),f862(f294(a924),f2(a924))) % 186.59/186.34 [3615]P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),a76))) % 186.59/186.34 [3627]E(f862(f302(a924,a924,a105),f234(f932(a924,a921))),f862(f293(a924),f2(a924))) % 186.59/186.34 [3662]P6(f931(a924,a924),f234(f932(f931(a924,a924),a921)),a101) % 186.59/186.34 [3971]E(f862(f66(a924,a1,a92,f93(a1)),a22),a24) % 186.59/186.34 [4030]P35(a924,f862(f254(f931(a924,a924)),f862(f249(a924,a924,a921),f228(a924)))) % 186.59/186.34 [4695]~P1(f862(a186,f862(f96(a1),a76))) % 186.59/186.34 [4696]~P1(f862(f862(f84(a1),a90),a76)) % 186.59/186.34 [4697]~P1(f862(f862(f84(a1),a76),a90)) % 186.59/186.34 [4698]~P1(f862(f862(f227(a1),a76),a90)) % 186.59/186.34 [4699]~P1(f862(f862(f228(a1),a90),a90)) % 186.59/186.34 [4700]~P1(f862(f862(f228(a1),a76),a90)) % 186.59/186.34 [4701]~P1(f862(f862(f228(a1),a76),a76)) % 186.59/186.34 [4710]~P1(f862(f54(a924),f234(f932(a924,a921)))) % 186.59/186.34 [4711]~P1(f862(f54(a1),f234(f932(a1,a921)))) % 186.59/186.34 [4610]E(f862(f249(a1,a1,a921),f862(f862(f10(f932(a1,a921),f932(a1,a921),a1),f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f228(a1),f2(a1))))),f862(f862(f9(a1,a1,f932(a1,a921)),f862(f862(f10(f932(a1,f932(a1,a921)),f932(a1,f932(a1,a921)),a1),f9(a1,a1,a921)),f862(f862(f10(f932(a1,a1),f932(a1,f932(a1,a921)),a1),f862(f10(a1,f932(a1,a921),a1),a317)),a210))),f71(a1)))),a206) % 186.59/186.34 [3699]E(f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90),f862(f72(a1),a90)) % 186.59/186.34 [3738]E(f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90),f862(f862(f3(a1),a76),a90)) % 186.59/186.34 [3898]E(f862(f862(f53(f931(a924,a924)),f234(f932(f931(a924,a924),a921))),a101),a91) % 186.59/186.34 [3927]E(f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f71(a1)) % 186.59/186.34 [3928]E(f862(f96(a92),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f71(a92)) % 186.59/186.34 [3929]E(f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f71(a924)) % 186.59/186.34 [3932]E(f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(a105,f2(a924))) % 186.59/186.34 [4309]E(f862(f862(f103(f932(f931(f931(a924,a924),f931(a924,a924)),a921)),a26),f299(f931(a924,a924),f181(f932(f931(f931(a924,a924),f931(a924,a924)),a921)))),a64) % 186.59/186.34 [4375]E(f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),f71(a924)),f2(a924))),f181(f932(f931(a924,a924),a921))))),f71(a1)) % 186.59/186.34 [4376]E(f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),f2(a924)),f2(a924))),f181(f932(f931(a924,a924),a921))))),f2(a1)) % 186.59/186.34 [4389]E(f862(f254(f931(a924,a924)),f862(f249(a924,a924,a921),f862(f862(f10(a924,f932(a924,a921),a924),f862(f9(a924,a924,a921),a317)),a105))),a309) % 186.59/186.34 [4361]E(f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),f862(a105,f862(a105,f2(a924)))) % 186.59/186.34 [4364]E(f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),f862(f862(f73(a924),f71(a924)),f71(a924))) % 186.59/186.34 [4365]E(f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),f862(f28(a921),f234(f932(a921,a921)))) % 186.59/186.34 [4428]P4(f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))) % 186.59/186.34 [4498]P24(f932(f931(a924,a924),a921),f862(f862(f244(f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921),f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921)),a27),a63)) % 186.59/186.34 [4499]P24(f932(f931(a924,a924),a921),f862(f862(f244(f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921),f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921)),a62),a65)) % 186.59/186.34 [4541]E(f862(f862(f103(f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921)),f312(f931(a924,a924),a64)),f862(f862(f301(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),f181(f932(f931(a924,a924),a921))),f181(f932(f931(a924,a924),a921)))),f181(f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921)))),a65) % 186.59/186.34 [4542]E(f862(f862(f103(f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921)),f310(f931(a924,a924),a64)),f862(f862(f301(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),f181(f932(f931(a924,a924),a921))),f181(f932(f931(a924,a924),a921)))),f181(f932(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a921)))),a63) % 186.59/186.34 [4431]E(f862(a97,f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(a105,f862(a105,f2(a924)))) % 186.59/186.34 [4476]E(f862(f93(a1),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))) % 186.59/186.34 [4509]P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.34 [4510]E(f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90)),f862(a105,f862(a105,f862(a105,f2(a924))))) % 186.59/186.34 [4556]P4(f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))) % 186.59/186.34 [4582]E(f862(f93(a1),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))) % 186.59/186.34 [4595]P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90)))) % 186.59/186.34 [3331]P5(x33311,a317) % 186.59/186.34 [3726]P22(a924,a924,a105,x37261) % 186.59/186.34 [3319]P2(f923(x33191)) % 186.59/186.34 [3320]P2(f928(x33201)) % 186.59/186.34 [3321]P2(f925(x33211)) % 186.59/186.34 [3322]P2(f926(x33221)) % 186.59/186.34 [3323]P107(f923(x33231)) % 186.59/186.34 [3324]P107(f928(x33241)) % 186.59/186.34 [3325]P107(f925(x33251)) % 186.59/186.34 [3326]P107(f926(x33261)) % 186.59/186.34 [3347]P35(a1,f98(x33471)) % 186.59/186.34 [3348]P35(a1,f99(x33481)) % 186.59/186.34 [3401]P35(f932(x34011,a921),f306(x34011)) % 186.59/186.34 [3402]P36(f932(x34021,a921),f306(x34021)) % 186.59/186.34 [3427]E(f235(x34271,x34271,a317),a317) % 186.59/186.34 [3442]E(f38(a1,x34421,x34421),f2(a1)) % 186.59/186.34 [3496]P12(x34961,f932(x34961,a921),f301(x34961)) % 186.59/186.34 [4670]~E(f862(a105,x46701),x46701) % 186.59/186.34 [4676]~E(f862(a105,x46761),f2(a924)) % 186.59/186.34 [3333]E(f862(f96(a1),x33331),x33331) % 186.59/186.34 [3334]E(f862(f182(a924),x33341),x33341) % 186.59/186.34 [3349]E(f862(a82,f320(x33491)),x33491) % 186.59/186.34 [3350]E(f862(a5,f587(x33501)),x33501) % 186.59/186.34 [3351]E(f233(x33511,f2(a92)),f2(a92)) % 186.59/186.34 [3364]E(f107(x33641,f106(x33641)),f106(x33641)) % 186.59/186.34 [3365]E(f145(x33651,f106(x33651)),f106(x33651)) % 186.59/186.34 [3373]E(f862(f160(x33731),f106(x33731)),f106(x33731)) % 186.59/186.34 [3374]E(f862(f164(x33741),f106(x33741)),f106(x33741)) % 186.59/186.34 [3375]E(f862(f161(x33751),f106(x33751)),f106(x33751)) % 186.59/186.34 [3380]E(f862(f96(a1),x33801),f862(f95(a1),x33801)) % 186.59/186.34 [3381]E(f862(a82,f862(a100,x33811)),x33811) % 186.59/186.34 [3383]E(f862(a5,f862(a22,x33831)),x33831) % 186.59/186.34 [3384]E(f862(a22,f862(a5,x33841)),x33841) % 186.59/186.34 [3386]P4(f862(f93(a1),x33861)) % 186.59/186.34 [3395]E(f862(f182(f925(x33951)),f106(x33951)),f2(a924)) % 186.59/186.34 [3396]E(f862(f182(f926(x33961)),f112(x33961)),f2(a924)) % 186.59/186.34 [3418]E(f862(f862(f3(a924),x34181),f2(a924)),x34181) % 186.59/186.34 [3419]E(f862(f862(f74(a924),x34191),f71(a924)),x34191) % 186.59/186.34 [3420]E(f862(f862(f74(a1),x34201),f71(a1)),x34201) % 186.59/186.34 [3421]E(f862(f862(f73(a924),x34211),f2(a924)),x34211) % 186.59/186.34 [3422]E(f862(f862(f73(a1),x34221),f2(a1)),x34221) % 186.59/186.34 [3423]E(f862(f862(f226(a924),x34231),f2(a924)),x34231) % 186.59/186.34 [3424]E(f862(f862(f74(a924),x34241),f2(a924)),f2(a924)) % 186.59/186.34 [3425]E(f862(f862(f29(a1),x34251),f2(a1)),f2(a1)) % 186.59/186.34 [3426]E(f862(f862(f225(a924),x34261),f2(a924)),f2(a924)) % 186.59/186.34 [3433]E(f862(f165(x34331),f106(x34331)),f181(f932(x34331,a921))) % 186.59/186.34 [3437]P1(f862(f130(x34371),f106(x34371))) % 186.59/186.34 [3443]E(f862(f147(x34431,x34431),f7(x34431)),f25(f925(x34431))) % 186.59/186.34 [3444]E(f862(f147(x34441,x34441),f25(x34441)),f25(f925(x34441))) % 186.59/186.34 [3445]E(f38(a1,x34451,f2(a1)),x34451) % 186.59/186.34 [3446]E(f862(f227(a924),f862(a105,x34461)),f862(f228(a924),x34461)) % 186.59/186.34 [3447]E(f862(f274(a924),f862(a105,x34471)),f862(f293(a924),x34471)) % 186.59/186.34 [3448]E(f862(f292(a924),f862(a105,x34481)),f862(f294(a924),x34481)) % 186.59/186.34 [3450]E(f38(a1,f2(a1),x34501),f2(a1)) % 186.59/186.34 [3464]E(f862(f862(f73(a924),x34641),f71(a924)),f862(a105,x34641)) % 186.59/186.34 [3473]E(f862(f295(a924,x34731),f2(a924)),f181(f932(a924,a921))) % 186.59/186.34 [3485]E(f296(a924,f2(a924),x34851),f862(f294(a924),x34851)) % 186.59/186.34 [3531]E(f862(f862(f3(a924),f862(a105,x35311)),f71(a924)),x35311) % 186.59/186.34 [3543]E(f40(f2(a1),x35431),f862(f862(f244(a1,a1),f2(a1)),f2(a1))) % 186.59/186.34 [3590]P1(f862(f862(f228(a924),x35901),f862(a105,x35901))) % 186.59/186.34 [3602]P1(f862(f862(f228(a924),f2(a924)),f862(a105,x36021))) % 186.59/186.34 [3828]E(f86(x38281,x38281,f234(f932(x38281,a921)),f25(x38281)),f25(x38281)) % 186.59/186.34 [3885]E(f862(f862(f3(a92),f862(a5,f862(a105,f862(a22,x38851)))),f71(a92)),x38851) % 186.59/186.34 [3955]P1(f862(f862(f227(a1),f862(f72(a1),f862(f93(a1),x39551))),f2(a1))) % 186.59/186.34 [4098]P1(f862(f862(f228(a1),f862(f72(a1),f862(f93(a1),f862(a105,x40981)))),f2(a1))) % 186.59/186.34 [4684]~E(f234(f932(x46841,a921)),f181(f932(x46841,a921))) % 186.59/186.34 [4709]~P1(f862(f862(f228(a924),x47091),f2(a924))) % 186.59/186.34 [4720]~P1(f862(f862(f228(a1),f862(f93(a1),x47201)),f2(a1))) % 186.59/186.34 [3385]E(f113(x33851,f112(f926(x33851))),f112(x33851)) % 186.59/186.34 [3400]E(f172(x34001,f106(f925(x34001))),f106(f925(x34001))) % 186.59/186.34 [3403]E(f862(f862(f74(a1),a76),x34031),a76) % 186.59/186.34 [3404]E(f862(f862(f73(a1),a76),x34041),x34041) % 186.59/186.34 [3407]E(f862(a97,f862(f93(a1),x34071)),x34071) % 186.59/186.34 [3408]E(f862(f862(f3(a1),x34081),a76),x34081) % 186.59/186.34 [3409]E(f862(f862(f73(a1),x34091),a76),x34091) % 186.59/186.34 [3412]E(f862(f862(f3(a924),x34121),x34121),f2(a924)) % 186.59/186.34 [3416]E(f862(f72(a1),f862(f72(a1),x34161)),x34161) % 186.59/186.34 [3417]E(f862(f28(a924),f862(f292(a924),x34171)),x34171) % 186.59/186.34 [3428]E(f862(f862(f74(a924),f71(a924)),x34281),x34281) % 186.59/186.34 [3429]E(f862(f862(f74(a1),f71(a1)),x34291),x34291) % 186.59/186.34 [3430]E(f862(f862(f73(a924),f2(a924)),x34301),x34301) % 186.59/186.34 [3431]E(f862(f862(f73(a1),f2(a1)),x34311),x34311) % 186.59/186.34 [3432]E(f862(f862(f226(a924),f2(a924)),x34321),x34321) % 186.59/186.34 [3438]E(f862(f862(f3(a924),f2(a924)),x34381),f2(a924)) % 186.59/186.34 [3439]E(f862(f862(f74(a924),f2(a924)),x34391),f2(a924)) % 186.59/186.34 [3440]E(f862(f862(f29(a1),f2(a1)),x34401),f2(a1)) % 186.59/186.34 [3441]E(f862(f862(f225(a924),f2(a924)),x34411),f2(a924)) % 186.59/186.34 [3451]E(f121(x34511,f862(f72(a1),x34511)),f125(a1,x34511)) % 186.59/186.34 [3457]E(f862(f295(a924,f2(a924)),x34571),f862(f292(a924),x34571)) % 186.59/186.34 [3458]E(f862(f862(f74(a1),a90),x34581),f862(f72(a1),x34581)) % 186.59/186.34 [3466]E(f862(a97,f862(f96(a1),x34661)),f862(f96(a924),x34661)) % 186.59/186.34 [3467]E(f862(a22,f862(f96(a92),x34671)),f862(f96(a924),x34671)) % 186.59/186.34 [3468]E(f862(f28(a924),f862(f294(a924),x34681)),f862(a105,x34681)) % 186.59/186.34 [3477]E(f862(f862(f73(a924),f71(a924)),x34771),f862(a105,x34771)) % 186.59/186.34 [3481]E(f862(f95(a1),f862(f93(a1),x34811)),f862(f93(a1),x34811)) % 186.59/186.34 [3482]E(f862(f69(a1),f862(f93(a1),x34821)),f862(f93(a1),x34821)) % 186.59/186.34 [3486]E(f862(f28(x34861),f181(f932(x34861,a921))),f2(a924)) % 186.59/186.34 [3488]E(f862(f862(f29(a924),x34881),f862(a105,f2(a924))),x34881) % 186.59/186.34 [3497]E(f38(a924,x34971,f862(a105,f2(a924))),f2(a924)) % 186.59/186.34 [3498]E(f38(a1,x34981,f862(f96(a1),a90)),f2(a1)) % 186.59/186.34 [3514]E(f862(f862(f29(a1),x35141),f862(f96(a1),a90)),f862(f72(a1),x35141)) % 186.59/186.34 [3518]E(f132(a924,f862(f295(a924,x35181),f2(a924))),f106(a924)) % 186.59/186.34 [3519]E(f862(f862(f73(a1),x35191),f71(a1)),f862(f862(f3(a1),x35191),a90)) % 186.59/186.34 [3520]E(f862(f862(f3(a1),x35201),f71(a1)),f862(f862(f73(a1),x35201),a90)) % 186.59/186.34 [3524]P1(f862(f862(f84(a1),x35241),x35241)) % 186.59/186.34 [3525]P1(f862(f862(f227(a924),x35251),x35251)) % 186.59/186.34 [3526]P1(f862(f862(f227(a1),x35261),x35261)) % 186.59/186.34 [3527]P1(f862(f862(f278(a924),x35271),x35271)) % 186.59/186.34 [3532]E(f862(f72(a1),f862(f96(a1),x35321)),f862(f96(a1),f862(f72(a1),x35321))) % 186.59/186.34 [3533]P1(f862(f54(a924),f862(f294(a924),x35331))) % 186.59/186.34 [3534]P1(f862(f54(a924),f862(f292(a924),x35341))) % 186.59/186.34 [3541]E(f154(x35411,f234(f932(x35411,a921))),f234(f932(f925(x35411),a921))) % 186.59/186.34 [3546]P1(f862(f862(f227(a924),f2(a924)),x35461)) % 186.59/186.34 [3556]E(f862(f862(f73(a924),f104(x35561)),f862(a105,f2(a924))),f104(f862(a105,x35561))) % 186.59/186.34 [3557]E(f862(f254(x35571),f862(f18(a921,x35571),a231)),f181(f932(x35571,a921))) % 186.59/186.34 [3558]E(f862(f254(x35581),f862(f18(a921,x35581),a180)),f234(f932(x35581,a921))) % 186.59/186.34 [3561]E(f862(f862(f301(a924),x35611),f862(f292(a924),x35611)),f862(f292(a924),f862(a105,x35611))) % 186.59/186.34 [3573]E(f862(f862(f73(a1),f71(a1)),f862(f93(a1),x35731)),f862(f93(a1),f862(a105,x35731))) % 186.59/186.34 [3575]E(f862(f862(f144(f925(x35751)),f106(x35751)),f106(f925(x35751))),f47(x35751,f106(x35751))) % 186.59/186.34 [3593]E(f181(f932(f931(x35931,x35931),a921)),f255(x35931,f181(f932(x35931,a921)))) % 186.59/186.34 [3594]E(f862(f300(x35941),f234(f932(x35941,a921))),f234(f932(f932(x35941,a921),a921))) % 186.59/186.34 [3595]E(f862(f72(f932(x35951,a921)),f181(f932(x35951,a921))),f234(f932(x35951,a921))) % 186.59/186.34 [3596]E(f862(f72(f932(x35961,a921)),f234(f932(x35961,a921))),f181(f932(x35961,a921))) % 186.59/186.34 [3598]P1(f862(f54(x35981),f181(f932(x35981,a921)))) % 186.59/186.34 [3600]E(f862(f295(a924,x36001),f862(a105,x36001)),f862(f862(f301(a924),x36001),f181(f932(a924,a921)))) % 186.59/186.34 [3601]E(f78(f931(a924,a924),f41(x36011,f2(a924))),f862(f862(f244(a924,a924),f2(a924)),x36011)) % 186.59/186.34 [3614]E(f862(f862(f301(a924),f862(a105,x36141)),f862(f294(a924),x36141)),f862(f294(a924),f862(a105,x36141))) % 186.59/186.34 [3618]P35(x36181,f181(f932(f931(x36181,x36181),a921))) % 186.59/186.34 [3619]P37(x36191,f181(f932(f931(x36191,x36191),a921))) % 186.59/186.34 [3622]P1(f862(f862(f227(a1),f2(a1)),f862(f93(a1),x36221))) % 186.59/186.34 [3629]E(f862(f862(f73(a924),f862(f182(a924),x36291)),f862(a105,f2(a924))),f862(f182(a924),f862(a105,x36291))) % 186.59/186.34 [3733]P38(f862(f302(a924,a1,f93(a1)),x37331)) % 186.59/186.34 [3771]P50(x37711,f181(f932(x37711,a921)),f181(f932(f931(x37711,x37711),a921))) % 186.59/186.34 [3789]E(f862(f862(f244(a1,a1),f862(f96(a1),a90)),f862(f862(f3(a1),x37891),f71(a1))),f43(f862(f96(a1),a90),x37891)) % 186.59/186.34 [3841]P57(x38411,f862(f18(f932(x38411,a921),x38411),f862(f18(a921,x38411),a231))) % 186.59/186.34 [3853]E(f281(a924,f278(a924),x38531,x38531),f862(f862(f301(a924),x38531),f181(f932(a924,a921)))) % 186.59/186.34 [4042]P1(f862(f862(f321(f932(f931(a924,a924),a921)),f320(x40421)),a91)) % 186.59/186.34 [4067]P1(f862(f862(f321(f932(f931(a924,a924),a921)),f862(a100,x40671)),a91)) % 186.59/186.34 [4196]P22(x41961,f932(x41961,a921),f862(f862(f9(x41961,f932(x41961,a921),f932(x41961,a921)),f301(x41961)),f181(f932(x41961,a921))),f234(f932(x41961,a921))) % 186.59/186.34 [4430]P54(f923(x44301),f932(f922(f930(a919,f932(x44301,f932(a920,a921))),f930(a920,x44301)),a921),f87(x44301),f85(x44301),f862(f254(f932(f922(f930(a919,f932(x44301,f932(a920,a921))),f930(a920,x44301)),a921)),f88(x44301))) % 186.59/186.34 [4681]~E(f862(f862(f73(a1),x46811),x46811),a90) % 186.59/186.34 [4694]~E(f862(a5,f862(a105,f862(a22,x46941))),f2(a92)) % 186.59/186.34 [4702]~P1(f862(a186,f862(f93(a1),x47021))) % 186.59/186.34 [4705]~P1(f862(f862(f228(a924),x47051),x47051)) % 186.59/186.34 [4713]~P1(f862(f862(f227(a924),f862(a105,x47131)),x47131)) % 186.59/186.34 [3548]E(f862(a97,f862(f72(a1),f862(f93(a1),x35481))),f2(a924)) % 186.59/186.34 [3551]E(f862(f862(f73(a1),f862(f72(a1),x35511)),x35511),f2(a1)) % 186.59/186.34 [3555]E(f862(f28(a1),f862(f295(a1,f2(a1)),x35551)),f862(a97,x35551)) % 186.59/186.34 [3566]E(f862(f862(f236(a924),f862(a105,f2(a924))),x35661),f862(a105,f2(a924))) % 186.59/186.34 [3659]E(f862(f273(x36591),f181(f932(f931(x36591,x36591),a921))),f181(f932(x36591,a921))) % 186.59/186.34 [3667]E(f31(f932(x36671,a921),f181(f932(f932(x36671,a921),a921))),f234(f932(x36671,a921))) % 186.59/186.34 [3668]E(f31(f932(x36681,a921),f234(f932(f932(x36681,a921),a921))),f181(f932(x36681,a921))) % 186.59/186.34 [3669]E(f30(f932(x36691,a921),f181(f932(f932(x36691,a921),a921))),f181(f932(x36691,a921))) % 186.59/186.34 [3670]E(f30(f932(x36701,a921),f234(f932(f932(x36701,a921),a921))),f234(f932(x36701,a921))) % 186.59/186.34 [3674]P1(f862(f862(f278(a924),f862(a105,f2(a924))),x36741)) % 186.59/186.34 [3715]E(f862(f862(f301(f925(x37151)),f106(x37151)),f181(f932(f925(x37151),a921))),f154(x37151,f181(f932(x37151,a921)))) % 186.59/186.34 [3716]E(f862(f862(f301(f925(x37161)),f106(x37161)),f181(f932(f925(x37161),a921))),f155(x37161,f106(f932(x37161,a921)))) % 186.59/186.34 [3755]E(f862(f862(f73(a924),f6(x37551)),f862(a105,f2(a924))),f6(f862(a5,f862(a105,f862(a22,x37551))))) % 186.59/186.34 [3780]E(f862(f28(a1),f862(f302(a924,a1,f93(a1)),x37801)),f862(f28(a924),x37801)) % 186.59/186.34 [3781]P1(f862(f862(f227(a924),x37811),f862(f862(f74(a924),x37811),x37811))) % 186.59/186.34 [3819]E(f862(f302(a1,a924,a97),f296(a1,f2(a1),f862(f93(a1),x38191))),f862(f294(a924),x38191)) % 186.59/186.34 [3836]E(f862(f862(f29(a924),f862(a105,f2(a924))),f862(f96(a924),x38361)),f862(a97,f862(f862(f29(a1),f71(a1)),f862(f96(a1),x38361)))) % 186.59/186.34 [3838]E(f862(f165(a924),f132(a924,f862(f295(a924,f2(a924)),f862(a105,x38381)))),f862(f294(a924),x38381)) % 186.59/186.34 [3839]E(f862(f862(f73(a924),f862(f182(a92),x38391)),f862(a105,f2(a924))),f862(f182(a92),f862(a5,f862(a105,f862(a22,x38391))))) % 186.59/186.34 [3859]P37(x38591,f299(x38591,f181(f932(f931(x38591,x38591),a921)))) % 186.59/186.34 [3860]P49(x38601,f299(x38601,f181(f932(f931(x38601,x38601),a921)))) % 186.59/186.34 [3861]E(f862(f302(a1,a924,a97),f862(f302(a924,a1,f93(a1)),x38611)),x38611) % 186.59/186.34 [3891]E(f862(f862(f301(a924),f2(a924)),f862(f302(a924,a924,a105),f862(f292(a924),x38911))),f862(f292(a924),f862(a105,x38911))) % 186.59/186.34 [3897]P52(x38971,x38971,f299(x38971,f181(f932(f931(x38971,x38971),a921)))) % 186.59/186.34 [3903]P1(f862(a186,f862(f72(a1),f862(f93(a1),f862(a105,x39031))))) % 186.59/186.34 [3913]E(f862(f862(f3(f932(a924,a921)),f862(f274(a924),x39131)),f862(f862(f301(a924),x39131),f181(f932(a924,a921)))),f862(f274(a924),f862(a105,x39131))) % 186.59/186.34 [3930]E(f862(f862(f73(a1),f862(f862(f3(a1),a76),x39301)),f862(f862(f3(a1),a76),x39301)),f862(f862(f3(a1),a76),f862(f862(f73(a1),x39301),x39301))) % 186.59/186.34 [3944]E(f862(f862(f301(f932(x39441,a921)),f181(f932(x39441,a921))),f181(f932(f932(x39441,a921),a921))),f862(f300(x39441),f181(f932(x39441,a921)))) % 186.59/186.34 [3972]E(f862(f862(f3(f932(a924,a921)),f862(f293(a924),x39721)),f862(f862(f301(a924),f862(a105,x39721)),f181(f932(a924,a921)))),f862(f293(a924),f862(a105,x39721))) % 186.59/186.34 [4079]E(f862(f96(a924),f862(f862(f73(a1),x40791),x40791)),f862(f862(f79(a924,a924),f862(f96(a924),x40791)),f862(f862(f20(a924,a924,a924),f73(a924)),f7(a924)))) % 186.59/186.34 [4451]P12(x44511,f932(x44511,a921),f862(f862(f10(f932(x44511,a921),f932(f932(x44511,a921),f932(x44511,a921)),x44511),f862(f9(f932(x44511,a921),f932(x44511,a921),f932(x44511,a921)),f3(f932(x44511,a921)))),f862(f862(f9(x44511,f932(x44511,a921),f932(x44511,a921)),f301(x44511)),f181(f932(x44511,a921))))) % 186.59/186.34 [4540]E(f862(f254(f931(a1,a1)),f862(f249(a1,a1,a921),f862(f862(f10(f932(a1,a921),f932(a1,a921),a1),f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),x45401)))),f228(a1)))),f98(x45401)) % 186.59/186.34 [4573]E(f862(f254(f931(a1,a1)),f862(f249(a1,a1,a921),f862(f862(f20(a1,f932(a1,a921),f932(a1,a921)),f862(f862(f10(f932(a921,a921),f932(f932(a1,a921),f932(a1,a921)),a1),f10(a921,a921,a1)),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),x45731)))),f228(a1)))),f99(x45731)) % 186.59/186.34 [4626]E(f862(f254(f931(f932(x46261,a921),f932(x46261,a921))),f862(f249(f932(x46261,a921),f932(x46261,a921),a921),f862(f862(f9(f932(x46261,a921),f932(f932(x46261,a921),a921),f932(f932(x46261,a921),a921)),f862(f862(f10(f932(f932(x46261,a921),f932(a921,a921)),f932(f932(f932(x46261,a921),a921),f932(f932(x46261,a921),a921)),f932(x46261,a921)),f20(f932(x46261,a921),a921,a921)),f862(f862(f10(f932(f932(x46261,a921),a921),f932(f932(x46261,a921),f932(a921,a921)),f932(x46261,a921)),f862(f10(a921,f932(a921,a921),f932(x46261,a921)),a318)),f228(f932(x46261,a921))))),f54(x46261)))),f306(x46261)) % 186.59/186.34 [4717]~P1(f862(f54(f925(x47171)),f234(f932(f925(x47171),a921)))) % 186.59/186.34 [4722]~P1(f862(f862(f84(a1),a90),f862(f862(f73(a1),x47221),x47221))) % 186.59/186.34 [4731]~P1(f862(f862(f227(a1),f2(a1)),f862(f72(a1),f862(f93(a1),f862(a105,x47311))))) % 186.59/186.34 [3694]E(f862(f862(f3(a1),f862(f862(f73(a1),x36941),a90)),a90),x36941) % 186.59/186.34 [3708]E(f862(f165(a924),f132(a924,f862(f295(a924,f2(a924)),x37081))),f862(f292(a924),x37081)) % 186.59/186.34 [3951]E(f862(f862(f73(a1),f862(f862(f73(a1),f71(a1)),x39511)),x39511),f862(f862(f3(a1),f862(f862(f73(a1),x39511),x39511)),a90)) % 186.59/186.34 [3999]E(f862(f277(x39991,x39991),f299(x39991,f181(f932(f931(x39991,x39991),a921)))),f299(x39991,f181(f932(f931(x39991,x39991),a921)))) % 186.59/186.34 [4045]P1(f862(f862(f227(a924),x40451),f862(f862(f74(a924),x40451),f862(f862(f74(a924),x40451),x40451)))) % 186.59/186.34 [4313]P1(f862(f54(a924),f862(f254(a924),f862(f862(f9(a924,a924,a921),f227(a924)),x43131)))) % 186.59/186.34 [4314]P1(f862(f54(a924),f862(f254(a924),f862(f862(f9(a924,a924,a921),f228(a924)),x43141)))) % 186.59/186.34 [4589]E(f862(f254(f931(x45891,x45891)),f862(f862(f10(f932(x45891,a921),a921,f931(x45891,x45891)),f80(x45891)),f862(f862(f9(f931(x45891,x45891),f932(x45891,f931(x45891,x45891)),f932(x45891,a921)),f862(f862(f10(f932(f931(x45891,x45891),a921),f932(f932(x45891,f931(x45891,x45891)),f932(x45891,a921)),f931(x45891,x45891)),f10(f931(x45891,x45891),a921,x45891)),a317)),f862(f862(f20(x45891,x45891,f931(x45891,x45891)),f244(x45891,x45891)),f7(x45891))))),f299(x45891,f181(f932(f931(x45891,x45891),a921)))) % 186.59/186.34 [4719]~E(f862(f862(f3(a1),f862(f862(f73(a1),x47191),x47191)),a90),a76) % 186.59/186.34 [4721]~E(f862(f862(f73(a1),f862(f862(f73(a1),f71(a1)),x47211)),x47211),f2(a1)) % 186.59/186.34 [4728]~P1(f862(f862(f84(a1),f862(f862(f73(a1),x47281),x47281)),a90)) % 186.59/186.34 [4089]E(f862(f862(f73(a1),f862(f862(f3(a1),a90),x40891)),f862(f862(f3(a1),a90),x40891)),f862(f862(f3(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x40891),x40891)),a90))) % 186.59/186.34 [4204]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),a90),x42041)),f862(f862(f3(a1),a90),x42041))),a90),f862(f862(f3(a1),a90),f862(f862(f73(a1),x42041),x42041))) % 186.59/186.34 [4236]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f73(a1),x42361),a90)),f862(f862(f73(a1),x42361),a90))),a90),f862(f862(f73(a1),f862(f862(f73(a1),x42361),x42361)),a90)) % 186.59/186.34 [4274]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),a90),x42741)),f862(f862(f3(a1),a90),x42741))),a90),f862(f862(f3(a1),a76),f862(f862(f3(a1),f862(f862(f73(a1),x42741),x42741)),a90))) % 186.59/186.34 [4371]E(f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x43711),f2(a924))),f181(f932(f931(a924,a924),a921))))),f862(f93(a1),x43711)) % 186.59/186.34 [4381]E(f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),f324(x43811)),f522(x43811))),f181(f932(f931(a924,a924),a921))))),x43811) % 186.59/186.34 [4414]E(f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x44141)),f862(f302(a924,a1,f93(a1)),f862(f254(a924),f862(f862(f10(a1,a921,a924),x44141),f93(a1))))) % 186.59/186.34 [4459]P38(f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x44591))) % 186.59/186.34 [4479]P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x44791),f181(f932(f931(a924,a924),a921)))),a65)) % 186.59/186.34 [4484]E(f862(f302(a1,a924,a97),f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),f862(f862(f10(a924,a921,a1),x44841),a97)))),f862(f254(a924),x44841)) % 186.59/186.34 [4641]E(f304(a924,f862(f862(f33(f931(a924,a924),f932(a924,a921)),f862(a100,x46411)),f862(f249(a924,a924,f932(a924,a921)),f862(f862(f9(a924,f932(a924,a921),f932(a924,f932(a924,a921))),f862(f862(f10(f932(a924,f932(f932(a924,a921),f932(a924,a921))),f932(f932(a924,a921),f932(a924,f932(a924,a921))),a924),f9(a924,f932(a924,a921),f932(a924,a921))),f862(f862(f10(f932(a924,a924),f932(a924,f932(f932(a924,a921),f932(a924,a921))),a924),f862(f10(a924,f932(f932(a924,a921),f932(a924,a921)),a924),f301(a924))),f3(a924)))),f181(f932(a924,a921)))))),f862(a97,x46411)) % 186.59/186.34 [4733]~P1(f862(f862(f84(a1),a76),f862(f862(f3(a1),f862(f862(f73(a1),x47331),x47331)),a90))) % 186.59/186.34 [4134]E(f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),x41341),x41341)),a90)),a90),f862(f862(f73(a1),x41341),x41341)) % 186.59/186.34 [4184]E(f862(f862(f3(a1),f862(f862(f3(a1),f862(f862(f73(a1),x41841),x41841)),a90)),a90),f862(f862(f73(a1),f862(f862(f3(a1),x41841),a90)),f862(f862(f3(a1),x41841),a90))) % 186.59/186.34 [4387]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f73(a1),f862(f72(a1),x43871)),a90)),f862(f862(f73(a1),f862(f72(a1),x43871)),a90))),a90),f862(f72(a1),f862(f862(f3(a1),f862(f862(f73(a1),x43871),x43871)),a90))) % 186.59/186.34 [4741]~P1(f862(f862(f84(a1),f862(f862(f3(a1),f862(f862(f73(a1),x47411),x47411)),a90)),a76)) % 186.59/186.34 [4432]E(f862(f862(f73(a924),x44321),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(a105,f862(a105,x44321))) % 186.59/186.34 [4433]E(f862(f862(f74(a924),x44331),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f73(a924),x44331),x44331)) % 186.59/186.34 [4434]E(f862(f862(f29(a924),f862(f862(f73(a924),x44341),x44341)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x44341) % 186.59/186.34 [4512]E(f38(a924,f862(a105,f862(a105,x45121)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f38(a924,x45121,f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.34 [4655]E(f862(a82,f862(f862(f33(f931(a924,a924),f932(f931(a924,a924),a921)),f862(a100,x46551)),f862(f249(a924,a924,f932(f931(a924,a924),a921)),f862(f862(f10(f932(a924,f932(f931(a924,a924),a921)),f932(a924,f932(f931(a924,a924),a921)),a924),f862(f10(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921),a924),f276(f931(a924,a924),f931(a924,a924),a101))),f862(f862(f9(a924,f932(f931(a924,a924),a921),f932(a924,f932(f931(a924,a924),a921))),f862(f862(f10(f932(a924,f932(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f932(f932(f931(a924,a924),a921),f932(a924,f932(f931(a924,a924),a921))),a924),f9(a924,f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f10(f932(a924,f931(a924,a924)),f932(a924,f932(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),a924),f862(f10(f931(a924,a924),f932(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),a924),f301(f931(a924,a924)))),f862(f9(a924,a924,f931(a924,a924)),f244(a924,a924))))),f181(f932(f931(a924,a924),a921))))))),f862(f72(a1),x46551)) % 186.59/186.34 [4507]E(f862(f862(f73(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x45071),f862(a105,f862(a105,x45071))) % 186.59/186.34 [4508]E(f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x45081),f862(f862(f73(a924),x45081),x45081)) % 186.59/186.34 [4546]E(f862(f862(f29(a924),f862(a105,f862(a105,x45461))),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(a105,f862(f862(f29(a924),x45461),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.34 [4596]E(f862(f862(f73(a924),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),x45961),f862(a105,f862(a105,f862(a105,x45961)))) % 186.59/186.34 [4662]E(f862(f249(a1,a1,f931(a1,a1)),f862(f862(f20(a1,f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),f862(f862(f10(f932(a1,f932(f931(a1,a1),f931(a1,a1))),f932(f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),a1),f20(a1,f931(a1,a1),f931(a1,a1))),f862(f862(f10(f932(a1,f931(a1,a1)),f932(a1,f932(f931(a1,a1),f931(a1,a1))),a1),f862(f20(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f862(f862(f10(a921,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f89(f931(a1,a1))),f862(f862(f10(a1,a921,a1),f862(f227(a1),f2(a1))),f862(f862(f9(a1,a1,a1),f3(a1)),x46621))))),f862(f862(f9(a1,f932(a1,a1),f932(a1,f931(a1,a1))),f862(f862(f10(f932(a1,f931(a1,a1)),f932(f932(a1,a1),f932(a1,f931(a1,a1))),a1),f10(a1,f931(a1,a1),a1)),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f862(f862(f9(a1,a1,a1),f862(f862(f10(a1,f932(a1,a1),a1),f73(a1)),f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f71(a1))))),f862(f862(f9(a1,a1,a1),f3(a1)),x46621))))),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))))),f36(x46621)) % 186.59/186.34 [3367]P2(f930(x33671,x33672)) % 186.59/186.34 [3368]P2(f931(x33681,x33682)) % 186.59/186.34 [3369]P2(f929(x33691,x33692)) % 186.59/186.34 [3370]P107(f930(x33701,x33702)) % 186.59/186.34 [3371]P107(f931(x33711,x33712)) % 186.59/186.34 [3372]P107(f929(x33721,x33722)) % 186.59/186.34 [3389]P11(a1,f171(x33891,x33892)) % 186.59/186.34 [3390]P35(x33901,f146(x33901,x33902)) % 186.59/186.34 [3391]P36(x33911,f255(x33911,x33912)) % 186.59/186.34 [3392]P36(x33921,f299(x33921,x33922)) % 186.59/186.34 [3393]P37(x33931,f255(x33931,x33932)) % 186.59/186.34 [3394]P49(x33941,f255(x33941,x33942)) % 186.59/186.34 [3459]P29(x34591,x34592,f106(x34591)) % 186.59/186.34 [3492]P50(x34921,x34922,f255(x34921,x34922)) % 186.59/186.34 [3493]P52(x34931,x34931,f255(x34931,x34932)) % 186.59/186.34 [3758]P22(x37581,x37581,f7(x37581),x37582) % 186.59/186.34 [3759]P22(x37591,x37591,f25(x37591),x37592) % 186.59/186.34 [3767]P30(x37671,x37672,f106(x37671),f106(x37671)) % 186.59/186.34 [3774]P22(f925(x37741),f925(x37741),f161(x37741),x37742) % 186.59/186.34 [4174]P23(x41741,x41741,f25(x41741),x41742,x41742) % 186.59/186.34 [4689]~P31(x46891,x46892,f106(x46891)) % 186.59/186.34 [4690]~P33(x46901,x46902,f106(x46901)) % 186.59/186.34 [3353]E(f862(f254(x33531),x33532),x33532) % 186.59/186.34 [3354]E(f862(f7(x33541),x33542),x33542) % 186.59/186.34 [3356]E(f862(f25(x33561),x33562),x33562) % 186.59/186.34 [3366]E(f862(f184(x33661),x33662),f108(x33661)) % 186.59/186.34 [3387]E(f78(x33871,f862(a317,x33872)),x33872) % 186.59/186.34 [3388]E(f83(x33881,f862(a317,x33882)),x33882) % 186.59/186.34 [3410]E(f862(f85(x34101),f588(x34101,x34102)),x34102) % 186.59/186.34 [3411]E(f862(f118(x34111,x34112),f112(x34111)),f2(a924)) % 186.59/186.34 [3414]E(f862(f129(x34141,x34142),f106(x34141)),f106(x34141)) % 186.59/186.34 [3434]E(f299(x34341,f299(x34341,x34342)),f299(x34341,x34342)) % 186.59/186.34 [3435]E(f145(x34351,f145(x34351,x34352)),f145(x34351,x34352)) % 186.59/186.34 [3454]E(f862(f862(f127(x34541),x34542),f106(x34541)),x34542) % 186.59/186.34 [3460]E(f166(x34601,x34602,f106(x34601)),x34602) % 186.59/186.34 [3461]E(f166(x34611,f106(x34611),x34612),x34612) % 186.59/186.34 [3462]E(f109(x34621,f112(x34621),x34622),x34622) % 186.59/186.34 [3463]E(f162(x34631,f2(a924),x34632),f106(x34631)) % 186.59/186.34 [3469]E(f862(f862(f168(x34691),x34692),f106(x34691)),f106(x34691)) % 186.59/186.34 [3470]E(f862(f862(f131(x34701),x34702),f106(x34701)),f106(x34701)) % 186.59/186.34 [3472]E(f148(x34721,x34722,f106(x34721)),f2(a924)) % 186.59/186.34 [3474]E(f163(x34741,x34742,f106(x34741)),f106(x34741)) % 186.59/186.34 [3475]E(f170(x34751,x34752,f106(x34751)),f106(x34751)) % 186.59/186.34 [3476]E(f169(x34761,f106(x34761),x34762),f106(x34761)) % 186.59/186.34 [3480]E(f862(f165(x34801),f145(x34801,x34802)),f862(f165(x34801),x34802)) % 186.59/186.34 [3483]E(f862(f275(x34831,x34831),f255(x34831,x34832)),x34832) % 186.59/186.34 [3484]E(f862(f256(x34841,x34841),f255(x34841,x34842)),x34842) % 186.59/186.34 [3491]E(f862(f277(x34911,x34911),f255(x34911,x34912)),f255(x34911,x34912)) % 186.59/186.34 [3506]E(f299(f925(x35061),f150(x35061,x35062)),f151(x35061,f299(x35061,x35062))) % 186.59/186.34 [3508]P1(f862(f130(a1),f171(x35081,x35082))) % 186.59/186.34 [3516]E(f862(f275(x35161,x35161),f299(x35161,x35162)),f234(f932(x35161,a921))) % 186.59/186.34 [3517]E(f862(f256(x35171,x35171),f299(x35171,x35172)),f234(f932(x35171,a921))) % 186.59/186.34 [3521]P1(f862(f130(x35211),f145(x35211,x35212))) % 186.59/186.34 [3523]P1(f862(f153(x35231,x35232),f106(x35231))) % 186.59/186.34 [3530]E(f862(f165(a1),f171(x35301,x35302)),f296(a1,x35301,x35302)) % 186.59/186.34 [3544]P53(x35441,f181(f932(x35441,a921)),x35442) % 186.59/186.34 [3549]E(f862(f248(a1,a1),f39(x35491,x35492)),f38(a1,x35491,x35492)) % 186.59/186.34 [3550]E(f862(f295(a924,x35501),f862(a105,x35502)),f296(a924,x35501,x35502)) % 186.59/186.34 [3565]E(f862(f862(f144(x35651),x35652),f106(x35651)),f133(x35651,x35652,f106(x35651))) % 186.59/186.34 [3577]E(f296(a924,f862(a105,x35771),x35772),f297(a924,x35771,x35772)) % 186.59/186.34 [3578]P50(x35781,f234(f932(x35781,a921)),f299(x35781,x35782)) % 186.59/186.34 [3640]E(f862(f862(f3(a924),x36401),f862(a105,x36402)),f862(f28(a924),f298(a924,x36402,x36401))) % 186.59/186.34 [3695]E(f159(x36951,x36952,f106(x36951)),f862(f862(f244(f925(x36951),f925(x36951)),f106(x36951)),f106(x36951))) % 186.59/186.34 [3713]E(f862(f249(x37131,x37132,f931(x37131,x37132)),f244(x37131,x37132)),f25(f931(x37131,x37132))) % 186.59/186.34 [3717]P1(f862(f862(f321(f925(x37171)),f106(x37171)),f154(x37171,x37172))) % 186.59/186.34 [3718]E(f862(f182(f925(x37181)),f107(x37181,x37182)),f862(f862(f3(a924),f862(f182(f925(x37181)),x37182)),f71(a924))) % 186.59/186.34 [3727]P1(f862(f54(a924),f298(a924,x37271,x37272))) % 186.59/186.34 [3728]P1(f862(f54(a924),f297(a924,x37281,x37282))) % 186.59/186.34 [3729]P1(f862(f54(a924),f296(a924,x37291,x37292))) % 186.59/186.34 [3730]P1(f862(f54(a1),f298(a1,x37301,x37302))) % 186.59/186.34 [3731]P1(f862(f54(a1),f297(a1,x37311,x37312))) % 186.59/186.34 [3732]P1(f862(f54(a1),f296(a1,x37321,x37322))) % 186.59/186.34 [3835]E(f862(f302(a924,a924,a105),f296(a924,x38351,x38352)),f296(a924,f862(a105,x38351),f862(a105,x38352))) % 186.59/186.34 [3855]E(f862(f862(f280(x38551,x38551,x38551),f299(x38551,x38552)),f299(x38551,x38552)),f299(x38551,x38552)) % 186.59/186.34 [3889]E(f862(f862(f244(a92,a92),f862(f862(f29(a92),x38891),x38892)),f38(a92,x38891,x38892)),f23(x38891,x38892)) % 186.59/186.34 [3890]E(f862(f862(f244(a1,a1),f862(f862(f29(a1),x38901),x38902)),f38(a1,x38901,x38902)),f39(x38901,x38902)) % 186.59/186.34 [3917]E(f862(f862(f244(a924,a924),f862(f862(f29(a924),x39171),x39172)),f38(a924,x39171,x39172)),f78(f931(a924,a924),f41(x39171,x39172))) % 186.59/186.34 [3968]P1(f862(f862(f228(a924),f862(f862(f3(a924),x39681),x39682)),f862(a105,x39681))) % 186.59/186.34 [4016]P36(x40161,f862(f862(f280(x40161,x40161,x40161),x40162),f299(x40161,x40162))) % 186.59/186.34 [4066]E(f862(f862(f73(a1),f862(f862(f74(a1),x40661),f862(f862(f29(a1),x40662),x40661))),f38(a1,x40662,x40661)),x40662) % 186.59/186.34 [4070]E(f862(f862(f33(a924,f932(f931(f925(x40701),f925(x40701)),a921)),f234(f932(a924,a921))),f136(x40701,x40702)),f138(x40701,x40702)) % 186.59/186.34 [4290]P1(f862(f862(f321(f931(f925(x42901),f925(x42901))),f862(f862(f244(f925(x42901),f925(x42901)),f106(x42901)),f106(x42901))),f151(x42901,x42902))) % 186.59/186.34 [4399]E(f245(x43991,x43991,x43991,a317,f245(x43991,x43991,x43991,x43992,a317)),x43992) % 186.59/186.34 [4444]E(f250(x44441,x44441,x44442,x44442,f7(x44441),f7(x44442)),f25(f931(x44441,x44442))) % 186.59/186.34 [4446]E(f250(x44461,x44461,x44462,x44462,f25(x44461),f25(x44462)),f25(f931(x44461,x44462))) % 186.59/186.34 [3452]E(f862(f85(x34521),f862(f87(x34521),x34522)),x34522) % 186.59/186.34 [3453]E(f862(f161(x34531),f862(f161(x34531),x34532)),x34532) % 186.59/186.34 [3455]E(f862(f862(f131(x34551),f2(a924)),x34552),x34552) % 186.59/186.34 [3471]E(f862(f862(f168(x34711),f2(a924)),x34712),f106(x34711)) % 186.59/186.34 [3478]E(f862(f862(f127(x34781),f106(x34781)),x34782),x34782) % 186.59/186.34 [3487]E(f30(f932(x34871,a921),f862(f300(x34871),x34872)),x34872) % 186.59/186.34 [3489]E(f862(f165(x34891),f862(f160(x34891),x34892)),f862(f165(x34891),x34892)) % 186.59/186.34 [3490]E(f862(f165(x34901),f862(f161(x34901),x34902)),f862(f165(x34901),x34902)) % 186.59/186.34 [3495]E(f862(f862(f3(a92),x34951),x34952),f862(f862(a4,x34951),x34952)) % 186.59/186.34 [3510]E(f862(f862(f74(a924),x35101),x35102),f862(f862(f74(a924),x35102),x35101)) % 186.59/186.34 [3511]E(f862(f862(f74(a1),x35111),x35112),f862(f862(f74(a1),x35112),x35111)) % 186.59/186.34 [3512]E(f862(f862(f73(a924),x35121),x35122),f862(f862(f73(a924),x35122),x35121)) % 186.59/186.34 [3513]E(f862(f862(f73(a1),x35131),x35132),f862(f862(f73(a1),x35132),x35131)) % 186.59/186.34 [3536]E(f862(f862(f176(x35361,x35361),f2(a924)),x35362),f25(x35361)) % 186.59/186.34 [3537]E(f862(f182(f925(x35371)),f862(f160(x35371),x35372)),f862(f182(f925(x35371)),x35372)) % 186.59/186.34 [3538]E(f862(f182(f925(x35381)),f862(f161(x35381),x35382)),f862(f182(f925(x35381)),x35382)) % 186.59/186.34 [3539]E(f169(x35391,x35392,f181(f932(a924,a921))),f106(x35391)) % 186.59/186.34 [3540]E(f862(f862(f147(x35401,x35401),f7(x35401)),x35402),x35402) % 186.59/186.34 [3542]E(f862(f243(a1,a1),f39(x35421,x35422)),f862(f862(f29(a1),x35421),x35422)) % 186.59/186.34 [3559]E(f862(f182(f925(x35591)),f145(x35591,x35592)),f862(f28(x35591),f862(f165(x35591),x35592))) % 186.59/186.34 [3560]E(f862(f273(x35601),f862(f277(x35601,x35601),x35602)),f862(f273(x35601),x35602)) % 186.59/186.34 [3564]P1(f862(f54(x35641),f862(f165(x35641),x35642))) % 186.59/186.34 [3572]E(f862(f862(f73(a1),x35721),f862(f72(a1),x35722)),f862(f862(f3(a1),x35721),x35722)) % 186.59/186.34 [3579]E(f862(f302(x35791,x35791,f7(x35791)),x35792),x35792) % 186.59/186.34 [3580]E(f862(f302(x35801,x35801,f25(x35801)),x35802),x35802) % 186.59/186.34 [3581]E(f862(f303(x35811,x35811,f7(x35811)),x35812),x35812) % 186.59/186.34 [3582]E(f862(f303(x35821,x35821,f25(x35821)),x35822),x35822) % 186.59/186.34 [3583]P1(f862(f234(f932(x35831,a921)),x35832)) % 186.59/186.34 [3585]E(f862(f28(a924),f862(f295(a924,x35851),x35852)),f862(f862(f3(a924),x35852),x35851)) % 186.59/186.34 [3586]E(f862(f295(a924,f862(a105,x35861)),x35862),f298(a924,x35861,x35862)) % 186.59/186.34 [3599]E(f862(f862(f301(x35991),x35992),f181(f932(x35991,a921))),f862(f254(x35991),f862(a317,x35992))) % 186.59/186.34 [3604]E(f299(x36041,f862(f277(x36041,x36041),x36042)),f862(f277(x36041,x36041),f299(x36041,x36042))) % 186.59/186.34 [3609]E(f862(f862(f73(a924),f862(a105,x36091)),x36092),f862(f862(f73(a924),x36091),f862(a105,x36092))) % 186.59/186.34 [3610]E(f862(f862(f3(a924),f862(a105,x36101)),f862(a105,x36102)),f862(f862(f3(a924),x36101),x36102)) % 186.59/186.34 [3616]E(f48(x36161,f2(a924),x36162),f862(f862(f144(f925(x36161)),f106(x36161)),f106(f925(x36161)))) % 186.59/186.34 [3617]E(f862(f28(a924),f297(a924,x36171,x36172)),f862(f862(f3(a924),x36172),x36171)) % 186.59/186.34 [3626]P35(x36261,f862(f862(f279(a924,x36261),a232),x36262)) % 186.59/186.34 [3628]P11(a924,f132(a924,f862(f295(a924,x36281),x36282))) % 186.59/186.34 [3630]P1(f862(f54(a924),f862(f295(a924,x36301),x36302))) % 186.59/186.34 [3631]P1(f862(f54(a1),f862(f295(a1,x36311),x36312))) % 186.59/186.34 [3634]E(f862(f277(f925(x36341),f925(x36341)),f150(x36341,x36342)),f150(x36341,f862(f277(x36341,x36341),x36342))) % 186.59/186.34 [3636]E(f862(f295(a1,x36361),f862(f862(f73(a1),x36362),f71(a1))),f296(a1,x36361,x36362)) % 186.59/186.34 [3639]E(f862(f862(f29(a1),f862(f72(a1),x36391)),f862(f72(a1),x36392)),f862(f862(f29(a1),x36391),x36392)) % 186.59/186.34 [3647]E(f862(f862(f176(f931(x36471,x36471),a921),f71(a924)),x36472),x36472) % 186.59/186.34 [3649]E(f862(f862(f103(f932(x36491,a921)),x36492),f181(f932(x36491,a921))),x36492) % 186.59/186.34 [3650]E(f862(f862(f94(f932(x36501,a921)),x36502),f234(f932(x36501,a921))),x36502) % 186.59/186.34 [3651]E(f862(f862(f3(f932(x36511,a921)),x36512),f181(f932(x36511,a921))),x36512) % 186.59/186.34 [3652]E(f862(f243(a924,a924),f78(f931(a924,a924),f41(x36521,x36522))),f862(f862(f29(a924),x36521),x36522)) % 186.59/186.34 [3658]E(f296(a1,f862(f862(f73(a1),x36581),f71(a1)),x36582),f297(a1,x36581,x36582)) % 186.59/186.34 [3663]E(f862(f248(a924,a924),f78(f931(a924,a924),f41(x36631,x36632))),f38(a924,x36631,x36632)) % 186.59/186.34 [3673]P1(f862(f862(f321(x36731),x36732),f234(f932(x36731,a921)))) % 186.59/186.34 [3678]E(f862(f862(f3(a924),f862(a105,x36781)),x36782),f862(f28(a924),f296(a924,x36782,x36781))) % 186.59/186.34 [3704]E(f862(f862(f103(f932(x37041,a921)),x37042),f234(f932(x37041,a921))),f234(f932(x37041,a921))) % 186.59/186.34 [3705]E(f862(f862(f94(f932(x37051,a921)),x37052),f181(f932(x37051,a921))),f181(f932(x37051,a921))) % 186.59/186.34 [3706]E(f862(f862(f3(f932(x37061,a921)),x37062),f234(f932(x37061,a921))),f181(f932(x37061,a921))) % 186.59/186.34 [3722]E(f38(a1,f862(f72(a1),x37221),f862(f72(a1),x37222)),f862(f72(a1),f38(a1,x37221,x37222))) % 186.59/186.34 [3723]E(f38(a1,f862(f93(a1),x37231),f862(f93(a1),x37232)),f862(f93(a1),f38(a924,x37231,x37232))) % 186.59/186.34 [3734]E(f862(f182(f925(x37341)),f862(f164(x37341),x37342)),f862(f862(f3(a924),f862(f182(f925(x37341)),x37342)),f71(a924))) % 186.59/186.34 [3760]E(f862(f862(f29(a1),f38(a1,x37601,x37602)),x37602),f2(a1)) % 186.59/186.34 [3769]E(f862(a5,f38(a924,f862(a22,x37691),f862(a22,x37692))),f38(a92,x37691,x37692)) % 186.59/186.34 [3802]E(f862(a5,f862(f862(f3(a924),f862(a22,x38021)),f862(a22,x38022))),f862(f862(f3(a92),x38021),x38022)) % 186.59/186.34 [3803]E(f862(a5,f862(f862(f74(a924),f862(a22,x38031)),f862(a22,x38032))),f862(f862(f74(a92),x38031),x38032)) % 186.59/186.34 [3804]E(f862(a5,f862(f862(f73(a924),f862(a22,x38041)),f862(a22,x38042))),f862(f862(f73(a92),x38041),x38042)) % 186.59/186.34 [3805]E(f862(a5,f862(f862(f29(a924),f862(a22,x38051)),f862(a22,x38052))),f862(f862(f29(a92),x38051),x38052)) % 186.59/186.34 [3813]E(f862(f302(a924,a924,a105),f862(f295(a924,x38131),x38132)),f862(f295(a924,f862(a105,x38131)),f862(a105,x38132))) % 186.59/186.34 [3840]P1(f862(f41(x38401,x38402),f78(f931(a924,a924),f41(x38401,x38402)))) % 186.59/186.34 [3864]E(f38(a924,f862(a105,f38(a924,x38641,x38642)),x38642),f38(a924,f862(a105,x38641),x38642)) % 186.59/186.34 [3876]E(f862(f862(f32(f932(x38761,a921),f932(x38761,a921)),x38762),f7(f932(x38761,a921))),f31(f932(x38761,a921),x38762)) % 186.59/186.34 [3877]E(f862(f862(f33(f932(x38771,a921),f932(x38771,a921)),x38772),f7(f932(x38771,a921))),f30(f932(x38771,a921),x38772)) % 186.59/186.34 [3878]E(f862(f302(f925(x38781),f932(x38781,a921),f165(x38781)),f862(f165(f925(x38781)),f47(x38781,x38782))),f862(f300(x38781),f862(f165(x38781),x38782))) % 186.59/186.34 [3882]P1(f862(f862(f321(f932(x38821,a921)),x38822),f862(f300(x38821),x38822))) % 186.59/186.34 [3888]E(f38(a1,f862(f72(a1),f38(a1,x38881,x38882)),x38882),f38(a1,f862(f72(a1),x38881),x38882)) % 186.59/186.34 [3899]P1(f862(f862(f227(f932(x38991,a921)),x38992),f234(f932(x38991,a921)))) % 186.59/186.34 [3901]E(f862(f862(f280(x39011,x39011,x39011),f299(x39011,x39012)),f299(x39011,f299(x39011,x39012))),f299(x39011,x39012)) % 186.59/186.34 [3902]E(f862(f862(f103(f932(x39021,a921)),f862(f256(x39021,x39021),x39022)),f862(f275(x39021,x39021),x39022)),f862(f273(x39021),x39022)) % 186.59/186.34 [3923]E(f305(x39231,x39232,f234(f932(x39231,a921)),f234(f932(x39232,a921))),f234(f932(f930(x39231,x39232),a921))) % 186.59/186.34 [3973]P1(f862(f862(f227(a924),f38(a924,x39731,x39732)),x39731)) % 186.59/186.34 [3997]P1(f862(f862(f227(a1),f862(f72(a1),f862(f93(a1),x39971))),f862(f93(a1),x39972))) % 186.59/186.34 [4021]P1(f862(f862(f321(f932(x40211,a921)),f181(f932(x40211,a921))),f862(f300(x40211),x40212))) % 186.59/186.34 [4026]E(f299(x40261,f862(f862(f280(x40261,x40261,x40261),x40262),f299(x40261,x40262))),f299(x40261,x40262)) % 186.59/186.34 [4029]E(f862(f862(f280(x40291,x40291,x40291),f299(x40291,x40292)),x40292),f862(f862(f280(x40291,x40291,x40291),x40292),f299(x40291,x40292))) % 186.59/186.34 [4031]E(f862(a97,f862(f862(f73(a1),f862(f862(f3(a1),x40311),x40312)),f71(a1))),f862(f28(a1),f296(a1,x40312,x40311))) % 186.59/186.34 [4046]E(f862(f275(x40461,x40461),f862(f862(f280(x40461,x40461,x40461),x40462),f299(x40461,x40462))),f862(f275(x40461,x40461),x40462)) % 186.59/186.34 [4047]E(f862(f256(x40471,x40471),f862(f862(f280(x40471,x40471,x40471),x40472),f299(x40471,x40472))),f862(f256(x40471,x40471),x40472)) % 186.59/186.34 [4065]E(f862(f135(f925(x40651),f925(x40651),f127(x40651),f106(x40651)),f162(f925(x40651),x40652,f106(x40651))),f106(x40651)) % 186.59/186.34 [4074]P22(a924,a924,f862(f862(f9(a924,a924,a924),f73(a924)),x40741),x40742) % 186.59/186.34 [4076]P11(a924,f862(f161(a924),f862(f862(f147(f925(x40761),a924),f182(f925(x40761))),f172(x40761,x40762)))) % 186.59/186.34 [4106]P49(x41061,f862(f862(f103(f932(f931(x41061,x41061),a921)),x41062),f862(f277(x41061,x41061),x41062))) % 186.59/186.34 [4107]P49(x41071,f862(f862(f94(f932(f931(x41071,x41071),a921)),x41072),f862(f277(x41071,x41071),x41072))) % 186.59/186.34 [4118]P1(f862(f862(f228(a1),f862(f72(a1),f862(f93(a1),f862(a105,x41181)))),f862(f93(a1),x41182))) % 186.59/186.34 [4163]E(f862(f135(f925(x41631),x41631,f862(f9(x41631,f925(x41631),f925(x41631)),f144(x41631)),f106(x41631)),x41632),f862(f161(x41631),x41632)) % 186.59/186.34 [4211]P1(f862(f862(f227(f932(f931(f925(x42111),f925(x42111)),a921)),f151(x42111,x42112)),f299(f925(x42111),f150(x42111,x42112)))) % 186.59/186.34 [4240]P1(f862(f41(x42401,x42402),f862(f862(f244(a924,a924),f862(f862(f29(a924),x42401),x42402)),f38(a924,x42401,x42402)))) % 186.59/186.34 [4252]P1(f862(f862(f227(f932(f931(f925(x42521),f925(x42521)),a921)),f150(x42521,f299(x42521,x42522))),f299(f925(x42521),f150(x42521,x42522)))) % 186.59/186.34 [4469]E(f862(f862(f251(f931(a92,a92),a92,f931(a92,a92),f931(x44691,f931(a92,a92))),f259(f862(f158(a92),f862(f862(f147(f931(a92,x44691),a92),f243(a92,x44691)),x44692)))),f862(f862(f10(x44691,f932(f931(a92,a92),f931(x44691,f931(a92,a92))),a92),f244(x44691,f931(a92,a92))),f260(x44691,x44692))),f258(x44691,x44692)) % 186.59/186.34 [4525]P1(f862(f862(f321(f932(f922(f930(a919,f932(x45251,f932(a920,a921))),f930(a920,x45251)),a921)),f588(x45251,x45252)),f862(f254(f932(f922(f930(a919,f932(x45251,f932(a920,a921))),f930(a920,x45251)),a921)),f88(x45251)))) % 186.59/186.34 [4526]P1(f862(f862(f321(f932(f922(f930(a919,f932(x45261,f932(a920,a921))),f930(a920,x45261)),a921)),f862(f87(x45261),x45262)),f862(f254(f932(f922(f930(a919,f932(x45261,f932(a920,a921))),f930(a920,x45261)),a921)),f88(x45261)))) % 186.59/186.34 [4548]E(f216(a924,f931(x45481,f926(x45481)),f2(a924),f862(f249(x45481,f926(x45481),a924),f862(f18(f932(f926(x45481),a924),x45481),f862(f862(f9(f926(x45481),a924,a924),f862(f862(f10(a924,f932(a924,a924),f926(x45481)),f73(a924)),f182(f926(x45481)))),f71(a924)))),f862(f128(x45481),x45482)),f862(f182(f926(x45481)),x45482)) % 186.59/186.34 [4654]E(f862(f249(f932(f931(x46541,x46541),a921),f932(f931(x46541,x46541),a921),f932(f932(x46542,x46541),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f862(f862(f9(f932(f931(x46541,x46541),a921),f932(f932(f931(x46541,x46541),a921),f932(f932(x46542,x46541),f932(f931(x46542,x46542),a921))),f932(f932(f931(x46541,x46541),a921),f932(f932(x46542,x46541),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921))))),f862(f862(f10(f932(f932(f932(x46542,x46541),f932(f931(x46542,x46542),a921)),f932(f932(x46542,x46541),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f932(f932(f932(f931(x46541,x46541),a921),f932(f932(x46542,x46541),f932(f931(x46542,x46542),a921))),f932(f932(f931(x46541,x46541),a921),f932(f932(x46542,x46541),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921))))),f932(f931(x46541,x46541),a921)),f10(f932(f932(x46542,x46541),f932(f931(x46542,x46542),a921)),f932(f932(x46542,x46541),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921))),f932(f931(x46541,x46541),a921))),f862(f862(f10(f932(f932(x46542,x46541),f932(f932(f931(x46542,x46542),a921),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f932(f932(f932(x46542,x46541),f932(f931(x46542,x46542),a921)),f932(f932(x46542,x46541),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f932(f931(x46541,x46541),a921)),f20(f932(x46542,x46541),f932(f931(x46542,x46542),a921),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f862(f862(f10(f932(f932(x46542,x46541),f932(f931(x46542,x46542),a921)),f932(f932(x46542,x46541),f932(f932(f931(x46542,x46542),a921),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f932(f931(x46541,x46541),a921)),f862(f10(f932(f931(x46542,x46542),a921),f932(f932(f931(x46542,x46542),a921),f931(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921))),f932(x46542,x46541)),f244(f932(f931(x46542,x46542),a921),f932(f931(x46542,x46542),a921)))),f279(x46541,x46542))))),f279(x46541,x46542))),f67(x46541,x46542)) % 186.59/186.34 [4703]~E(f862(f300(x47031),x47032),f181(f932(f932(x47031,a921),a921))) % 186.59/186.34 [4712]~P1(f862(f862(f165(x47121),f106(x47121)),x47122)) % 186.59/186.34 [4716]~P1(f862(f862(f321(x47161),x47162),f181(f932(x47161,a921)))) % 186.59/186.34 [4725]~P1(f862(f862(f228(f932(x47251,a921)),x47252),f181(f932(x47251,a921)))) % 186.59/186.34 [3588]E(f862(f862(f3(a924),x35881),f862(f862(f73(a924),x35881),x35882)),f2(a924)) % 186.59/186.34 [3591]E(f862(f862(f103(f932(x35911,a921)),x35912),x35912),x35912) % 186.59/186.34 [3592]E(f862(f862(f94(f932(x35921,a921)),x35922),x35922),x35922) % 186.59/186.34 [3620]E(f862(f862(f3(f932(x36201,a921)),x36202),x36202),f181(f932(x36201,a921))) % 186.59/186.34 [3623]E(f862(f136(x36231,x36232),f2(a924)),f181(f932(f931(f925(x36231),f925(x36231)),a921))) % 186.59/186.34 [3624]E(f862(f862(f73(a924),x36241),f862(a105,x36242)),f862(a105,f862(f862(f73(a924),x36241),x36242))) % 186.59/186.34 [3635]E(f187(f862(f93(a1),x36351),f862(f93(a1),x36352)),f862(f93(a1),f862(f862(f3(a924),x36351),x36352))) % 186.59/186.34 [3638]E(f862(f862(f29(a1),f862(f72(a1),x36381)),x36382),f862(f862(f29(a1),x36381),f862(f72(a1),x36382))) % 186.59/186.34 [3642]E(f862(f28(a1),f862(f295(a1,x36421),x36422)),f862(a97,f862(f862(f3(a1),x36422),x36421))) % 186.59/186.34 [3645]E(f862(f862(f73(a924),f862(a105,x36451)),x36452),f862(a105,f862(f862(f73(a924),x36451),x36452))) % 186.59/186.34 [3648]E(f862(f72(f932(x36481,a921)),f862(f72(f932(x36481,a921)),x36482)),x36482) % 186.59/186.34 [3660]E(f172(x36601,f862(f862(f144(f925(x36601)),f106(x36601)),x36602)),f172(x36601,x36602)) % 186.59/186.34 [3664]E(f862(f862(f73(a924),x36641),f862(f862(f74(a924),x36641),x36642)),f862(f862(f74(a924),x36641),f862(a105,x36642))) % 186.59/186.34 [3671]E(f862(f862(a4,f862(a5,x36711)),f862(a5,x36712)),f862(a5,f862(f862(f3(a924),x36711),x36712))) % 186.59/186.34 [3686]E(f862(f862(f74(a1),f862(f72(a1),x36861)),x36862),f862(f72(a1),f862(f862(f74(a1),x36861),x36862))) % 186.59/186.34 [3688]E(f862(f862(f236(a1),f862(f93(a1),x36881)),x36882),f862(f93(a1),f862(f862(f236(a924),x36881),x36882))) % 186.59/186.34 [3689]E(f862(f862(f74(a92),f862(a5,x36891)),f862(a5,x36892)),f862(a5,f862(f862(f74(a924),x36891),x36892))) % 186.59/186.34 [3690]E(f862(f862(f73(a92),f862(a5,x36901)),f862(a5,x36902)),f862(a5,f862(f862(f73(a924),x36901),x36902))) % 186.59/186.34 [3691]E(f862(f862(f225(a924),f862(a105,x36911)),f862(a105,x36912)),f862(a105,f862(f862(f225(a924),x36911),x36912))) % 186.59/186.34 [3692]E(f862(f862(f226(a924),f862(a105,x36921)),f862(a105,x36922)),f862(a105,f862(f862(f226(a924),x36921),x36922))) % 186.59/186.34 [3697]E(f862(f165(a924),f132(a924,f862(f295(a924,x36971),x36972))),f862(f295(a924,x36971),x36972)) % 186.59/186.34 [3698]E(f304(x36981,f862(f862(f301(x36981),x36982),f181(f932(x36981,a921)))),x36982) % 186.59/186.34 [3702]E(f862(f275(x37021,x37022),f181(f932(f931(x37021,x37022),a921))),f181(f932(x37022,a921))) % 186.59/186.34 [3703]E(f862(f256(x37031,x37032),f181(f932(f931(x37031,x37032),a921))),f181(f932(x37031,a921))) % 186.59/186.34 [3707]E(f862(a97,f862(f862(f3(a1),x37071),x37072)),f862(f28(a1),f297(a1,x37072,x37071))) % 186.59/186.34 [3712]E(f862(f862(f73(a924),x37121),f862(f862(f74(a924),x37122),x37121)),f862(f862(f74(a924),f862(a105,x37122)),x37121)) % 186.59/186.34 [3714]E(f862(f862(f53(x37141),f181(f932(x37141,a921))),x37142),f181(f932(f932(x37141,a921),a921))) % 186.59/186.34 [3724]E(f862(f182(f925(a924)),f132(a924,f862(f295(a924,x37241),x37242))),f862(f862(f3(a924),x37242),x37241)) % 186.59/186.34 [3739]E(f862(f862(f103(f932(x37391,a921)),f181(f932(x37391,a921))),x37392),x37392) % 186.59/186.34 [3740]E(f862(f862(f94(f932(x37401,a921)),f234(f932(x37401,a921))),x37402),x37402) % 186.59/186.34 [3741]E(f862(f862(f73(a1),f862(f72(a1),x37411)),f862(f72(a1),x37412)),f862(f72(a1),f862(f862(f73(a1),x37411),x37412))) % 186.59/186.34 [3745]E(f862(f862(f74(a1),f862(f96(a1),x37451)),f862(f96(a1),x37452)),f862(f96(a1),f862(f862(f74(a1),x37451),x37452))) % 186.59/186.34 [3747]E(f862(f862(f74(a1),f862(f93(a1),x37471)),f862(f93(a1),x37472)),f862(f93(a1),f862(f862(f74(a924),x37471),x37472))) % 186.59/186.34 [3748]E(f862(f862(f73(a1),f862(f96(a1),x37481)),f862(f96(a1),x37482)),f862(f96(a1),f862(f862(f73(a1),x37481),x37482))) % 186.59/186.34 [3750]E(f862(f862(f73(a1),f862(f93(a1),x37501)),f862(f93(a1),x37502)),f862(f93(a1),f862(f862(f73(a924),x37501),x37502))) % 186.59/186.34 [3751]E(f862(f862(f29(a1),f862(f93(a1),x37511)),f862(f93(a1),x37512)),f862(f93(a1),f862(f862(f29(a924),x37511),x37512))) % 186.59/186.34 [3770]E(f862(f862(f8(x37701,a924),f862(f18(a924,x37701),f71(a924))),x37702),f862(f28(x37701),x37702)) % 186.59/186.34 [3775]E(f862(f72(a1),f38(a1,f862(f72(a1),x37751),x37752)),f38(a1,x37751,f862(f72(a1),x37752))) % 186.59/186.34 [3777]E(f862(f165(a1),f171(x37771,f862(f862(f3(a1),x37772),f71(a1)))),f862(f295(a1,x37771),x37772)) % 186.59/186.34 [3782]P1(f862(f862(f227(a924),x37821),f862(f862(f73(a924),x37822),x37821))) % 186.59/186.34 [3783]P1(f862(f862(f227(a924),x37831),f862(f862(f73(a924),x37831),x37832))) % 186.59/186.34 [3785]E(f862(f862(f103(f932(x37851,a921)),f234(f932(x37851,a921))),x37852),f234(f932(x37851,a921))) % 186.59/186.34 [3786]E(f862(f862(f94(f932(x37861,a921)),f181(f932(x37861,a921))),x37862),f181(f932(x37861,a921))) % 186.59/186.34 [3787]E(f862(f862(f3(f932(x37871,a921)),f181(f932(x37871,a921))),x37872),f181(f932(x37871,a921))) % 186.59/186.34 [3794]E(f862(f862(f244(a1,a1),x37941),f862(f72(a1),x37942)),f862(a44,f862(f862(f244(a1,a1),x37941),x37942))) % 186.59/186.34 [3795]E(f862(f295(a1,f862(f862(f73(a1),x37951),f71(a1))),x37952),f298(a1,x37951,x37952)) % 186.59/186.34 [3806]E(f862(f862(f74(a924),x38061),f862(f862(f29(a924),x38062),x38061)),f862(f862(f3(a924),x38062),f38(a924,x38062,x38061))) % 186.59/186.34 [3807]E(f862(f862(f74(a1),x38071),f862(f862(f29(a1),x38072),x38071)),f862(f862(f3(a1),x38072),f38(a1,x38072,x38071))) % 186.59/186.34 [3810]E(f862(f165(a1),f171(f862(f862(f73(a1),x38101),f71(a1)),x38102)),f297(a1,x38101,x38102)) % 186.59/186.34 [3814]P1(f862(f862(f227(f932(x38141,a921)),x38142),x38142)) % 186.59/186.34 [3817]E(f862(f862(f103(f932(x38171,a921)),x38172),f862(f72(f932(x38171,a921)),x38172)),f234(f932(x38171,a921))) % 186.59/186.34 [3818]E(f862(f862(f94(f932(x38181,a921)),x38182),f862(f72(f932(x38181,a921)),x38182)),f181(f932(x38181,a921))) % 186.59/186.34 [3826]E(f862(f862(f3(a924),f862(f862(f3(a924),x38261),f71(a924))),x38262),f862(f862(f3(a924),x38261),f862(a105,x38262))) % 186.59/186.34 [3832]E(f862(f862(f3(f932(x38321,a921)),f234(f932(x38321,a921))),x38322),f862(f72(f932(x38321,a921)),x38322)) % 186.59/186.34 [3833]E(f862(f862(f3(a1),f862(f96(a1),x38331)),f862(f96(a1),x38332)),f862(f96(a1),f862(f862(f73(a1),x38331),f862(f72(a1),x38332)))) % 186.59/186.34 [3846]E(f862(f165(a924),f132(a924,f862(f295(a924,x38461),f862(a105,x38462)))),f296(a924,x38461,x38462)) % 186.59/186.34 [3862]E(f862(f182(f925(f925(x38621))),f47(x38621,x38622)),f862(f862(f236(a924),f862(a105,f862(a105,f2(a924)))),f862(f182(f925(x38621)),x38622))) % 186.59/186.34 [3880]E(f862(f862(f176(f931(x38801,x38801),a921),f2(a924)),x38802),f299(x38801,f181(f932(f931(x38801,x38801),a921)))) % 186.59/186.34 [3884]P1(f862(f130(a924),f132(a924,f862(f295(a924,x38841),x38842)))) % 186.59/186.34 [3900]E(f862(f302(a1,a924,a97),f296(a1,f862(f93(a1),x39001),f862(f93(a1),x39002))),f296(a924,x39001,x39002)) % 186.59/186.34 [3909]E(f178(a924,f2(a924),f7(a924),f862(f862(f3(a924),x39091),x39092)),f862(f862(f3(a924),x39091),f862(a105,x39092))) % 186.59/186.34 [3910]E(f862(a97,f862(f862(f3(a1),x39101),f862(f862(f73(a1),x39102),f71(a1)))),f862(f28(a1),f298(a1,x39102,x39101))) % 186.59/186.34 [3945]E(f862(f862(f147(a924,a924),a105),f132(a924,f862(f295(a924,x39451),x39452))),f132(a924,f862(f295(a924,f862(a105,x39451)),f862(a105,x39452)))) % 186.59/186.34 [3953]E(f862(f165(a1),f171(f862(f862(f73(a1),x39531),f71(a1)),f862(f862(f3(a1),x39532),f71(a1)))),f298(a1,x39531,x39532)) % 186.59/186.34 [3965]P1(f862(f862(f227(f932(x39651,a921)),f181(f932(x39651,a921))),x39652)) % 186.59/186.34 [3969]E(f78(x39691,f862(f862(f9(x39691,x39691,a921),a317),x39692)),x39692) % 186.59/186.34 [3970]E(f83(x39701,f862(f862(f9(x39701,x39701,a921),a317),x39702)),x39702) % 186.59/186.34 [3974]E(f862(f165(a924),f132(a924,f862(f295(a924,f862(a105,x39741)),f862(a105,x39742)))),f297(a924,x39741,x39742)) % 186.59/186.34 [4000]E(f862(f862(f246(x40001,x40002),f234(f932(x40001,a921))),f862(f18(f932(x40002,a921),x40001),f234(f932(x40002,a921)))),f234(f932(f931(x40001,x40002),a921))) % 186.59/186.34 [4033]E(f862(f254(x40331),f862(f862(f10(a921,a921,x40331),a314),x40332)),f862(f72(f932(x40331,a921)),f862(f254(x40331),x40332))) % 186.59/186.34 [4036]E(f862(f254(x40361),f862(f862(f9(x40361,x40361,a921),a317),x40362)),f862(f862(f301(x40361),x40362),f181(f932(x40361,a921)))) % 186.59/186.34 [4043]E(f862(f862(f73(a1),f862(f862(f3(a1),x40431),x40432)),f862(f862(f3(a1),x40431),x40432)),f862(f862(f3(a1),f862(f862(f73(a1),x40431),x40431)),f862(f862(f73(a1),x40432),x40432))) % 186.59/186.34 [4044]E(f862(f862(f73(a1),f862(f862(f73(a1),x40441),x40441)),f862(f862(f73(a1),x40442),x40442)),f862(f862(f73(a1),f862(f862(f73(a1),x40441),x40442)),f862(f862(f73(a1),x40441),x40442))) % 186.59/186.34 [4060]P1(f862(f862(f227(a924),f862(f28(x40601),f862(f165(x40601),x40602))),f862(f182(f925(x40601)),x40602))) % 186.59/186.34 [4061]P1(f862(f862(f227(a924),f862(f182(f925(x40611)),f145(x40611,x40612))),f862(f182(f925(x40611)),x40612))) % 186.59/186.34 [4071]E(f862(f254(x40711),f862(f862(f9(x40711,f932(x40711,a921),a921),f321(x40711)),x40712)),x40712) % 186.59/186.34 [4085]E(f862(f862(f168(x40851),f862(f862(f3(a924),f862(f182(f925(x40851)),x40852)),f71(a924))),x40852),f107(x40851,x40852)) % 186.59/186.34 [4105]E(f178(a924,f2(a924),f862(f862(f10(a924,a924,a924),a105),f862(f225(a924),x41051)),x41052),f862(f862(f225(a924),f862(a105,x41051)),x41052)) % 186.59/186.34 [4110]E(f30(f932(x41101,a921),f862(f302(f932(f931(x41101,x41101),a921),f932(x41101,a921),f273(x41101)),x41102)),f862(f273(x41101),f30(f932(f931(x41101,x41101),a921),x41102))) % 186.59/186.34 [4111]E(f178(a924,f862(a105,x41111),f862(f862(f10(a924,a924,a924),a105),f862(f226(a924),x41111)),x41112),f862(f862(f226(a924),f862(a105,x41111)),x41112)) % 186.59/186.34 [4113]E(f862(f862(f244(a1,a1),f862(f862(f29(a1),f862(f69(a1),x41131)),f862(f69(a1),x41132))),f38(a1,f862(f69(a1),x41131),f862(f69(a1),x41132))),f46(x41131,x41132)) % 186.59/186.34 [4136]P1(f862(f862(f227(f932(f932(x41361,a921),a921)),x41362),f862(f300(x41361),f30(f932(x41361,a921),x41362)))) % 186.59/186.34 [4168]E(f862(f862(f33(x41681,f932(x41681,a921)),x41682),f862(f862(f9(x41681,f932(x41681,a921),f932(x41681,a921)),f301(x41681)),f181(f932(x41681,a921)))),x41682) % 186.59/186.34 [4169]E(f862(f862(f280(x41691,x41691,x41691),f862(f277(x41691,x41691),x41692)),f299(x41691,f862(f277(x41691,x41691),x41692))),f862(f277(x41691,x41691),f862(f862(f280(x41691,x41691,x41691),x41692),f299(x41691,x41692)))) % 186.59/186.34 [4232]E(f862(f165(x42321),f862(f135(f925(x42321),f925(x42321),f127(x42321),f106(x42321)),x42322)),f862(f862(f33(f925(x42321),f932(x42321,a921)),f862(f165(f925(x42321)),x42322)),f165(x42321))) % 186.59/186.34 [4263]E(f862(f862(f103(f932(f931(x42631,x42631),a921)),f299(x42631,f181(f932(f931(x42631,x42631),a921)))),f862(f862(f280(x42631,x42631,x42631),f299(x42631,x42632)),x42632)),f299(x42631,x42632)) % 186.59/186.34 [4299]E(f862(f862(f174(x42991,x42991),x42992),x42992),f862(f862(f147(x42991,f931(x42991,x42991)),f862(f862(f20(x42991,x42991,f931(x42991,x42991)),f244(x42991,x42991)),f7(x42991))),x42992)) % 186.59/186.34 [4410]E(f862(f135(a924,f925(x44101),f862(f9(f925(x44101),a924,a924),f862(f862(f10(a924,f932(a924,a924),f925(x44101)),f226(a924)),f182(f925(x44101)))),f2(a924)),f862(f161(f925(x44101)),x44102)),f862(f182(f925(f925(x44101))),f172(x44101,x44102))) % 186.59/186.34 [4483]E(f862(f862(f279(f931(a924,f925(x44831)),f925(x44831)),f311(a924,f925(x44831),a232,f138(x44831,x44832))),f862(f862(f20(f925(x44831),f925(x44831),f931(a924,f925(x44831))),f862(f862(f10(a924,f932(f925(x44831),f931(a924,f925(x44831))),f925(x44831)),f244(a924,f925(x44831))),f182(f925(x44831)))),f7(f925(x44831)))),f139(x44831,x44832)) % 186.59/186.34 [4612]E(f862(f254(x46121),f862(f862(f10(f932(f932(x46121,a921),a921),a921,x46121),f81(f932(x46121,a921))),f862(f862(f10(f932(f932(x46121,a921),a921),f932(f932(x46121,a921),a921),x46121),f862(f20(f932(x46121,a921),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x46121,a921)),a322),f862(f862(f9(f932(x46121,a921),f932(f932(x46121,a921),a921),a921),f321(f932(x46121,a921))),x46122)))),f321(x46121)))),f31(f932(x46121,a921),x46122)) % 186.59/186.34 [4613]E(f862(f254(x46131),f862(f862(f10(f932(f932(x46131,a921),a921),a921,x46131),f80(f932(x46131,a921))),f862(f862(f10(f932(f932(x46131,a921),a921),f932(f932(x46131,a921),a921),x46131),f862(f20(f932(x46131,a921),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x46131,a921)),a318),f862(f862(f9(f932(x46131,a921),f932(f932(x46131,a921),a921),a921),f321(f932(x46131,a921))),x46132)))),f321(x46131)))),f30(f932(x46131,a921),x46132)) % 186.59/186.34 [4726]~P1(f862(f862(f228(a1),f862(f93(a1),x47261)),f862(f72(a1),f862(f93(a1),x47262)))) % 186.59/186.34 [4742]~P1(f862(f862(f84(a1),f862(f862(f3(a1),f862(f862(f73(a1),x47421),x47421)),a90)),f862(f862(f73(a1),x47422),x47422))) % 186.59/186.34 [3710]E(f862(f862(f3(a924),f862(f862(f73(a924),x37101),x37102)),x37102),x37101) % 186.59/186.34 [3711]E(f862(f862(f3(a924),f862(f862(f73(a924),x37111),x37112)),x37111),x37112) % 186.59/186.34 [3776]E(f862(f862(f73(a924),f862(f862(f3(a924),x37761),x37762)),x37762),f862(f862(f226(a924),x37761),x37762)) % 186.59/186.34 [3887]E(f862(f862(f74(a924),f862(f862(f29(a924),x38871),x38872)),x38872),f862(f862(f3(a924),x38871),f38(a924,x38871,x38872))) % 186.59/186.34 [3914]E(f862(f165(a924),f132(a924,f862(f295(a924,f862(a105,x39141)),x39142))),f298(a924,x39141,x39142)) % 186.59/186.34 [3922]E(f862(f93(a1),f209(f862(a97,f862(f69(a1),x39221)),f862(a97,f862(f69(a1),x39222)))),f862(f862(a210,x39221),x39222)) % 186.59/186.34 [3924]E(f862(f862(f103(f932(x39241,a921)),f862(f72(f932(x39241,a921)),x39242)),x39242),f234(f932(x39241,a921))) % 186.59/186.34 [3925]E(f862(f862(f94(f932(x39251,a921)),f862(f72(f932(x39251,a921)),x39252)),x39252),f181(f932(x39251,a921))) % 186.59/186.34 [3941]P1(f862(f862(f227(a924),f862(f862(f3(a924),x39411),x39412)),x39411)) % 186.59/186.34 [3942]P1(f862(f862(f227(a924),f862(f862(f29(a924),x39421),x39422)),x39421)) % 186.59/186.34 [3966]P1(f862(f862(f228(a924),x39661),f862(a105,f862(f862(f73(a924),x39662),x39661)))) % 186.59/186.34 [3967]P1(f862(f862(f228(a924),x39671),f862(a105,f862(f862(f73(a924),x39671),x39672)))) % 186.59/186.34 [3984]E(f862(f862(f74(a924),f862(a97,f862(f69(a1),x39841))),f862(a97,f862(f69(a1),x39842))),f862(a97,f862(f69(a1),f862(f862(f74(a1),x39841),x39842)))) % 186.59/186.34 [3996]P1(f862(f862(f227(a1),f2(a1)),f862(f862(f236(a1),f862(f69(a1),x39961)),x39962))) % 186.59/186.34 [4064]E(f862(f276(f925(x40641),f925(x40641),f151(x40641,x40642)),f862(f862(f301(f925(x40641)),f106(x40641)),f181(f932(f925(x40641),a921)))),f862(f862(f301(f925(x40641)),f106(x40641)),f181(f932(f925(x40641),a921)))) % 186.59/186.34 [4083]E(f862(f862(f103(f932(f931(x40831,x40831),a921)),f299(x40831,x40832)),f299(x40831,f181(f932(f931(x40831,x40831),a921)))),f299(x40831,x40832)) % 186.59/186.34 [4095]E(f862(f862(f29(a1),f862(f96(a1),f862(f862(f73(a1),x40951),x40951))),f862(f96(a1),f862(f862(f73(a1),x40952),x40952))),f862(f862(f29(a1),f862(f96(a1),x40951)),f862(f96(a1),x40952))) % 186.59/186.34 [4158]E(f862(f862(f236(a1),x41581),f862(f96(a924),f862(f862(f73(a1),x41582),x41582))),f862(f862(f79(a1,a1),f862(f862(f236(a1),x41581),f862(f96(a924),x41582))),f862(f862(f20(a1,a1,a1),f74(a1)),f7(a1)))) % 186.59/186.34 [4164]E(f862(f254(f932(x41641,a921)),f862(f862(f9(f932(x41641,a921),f932(x41641,a921),a921),f227(f932(x41641,a921))),x41642)),f862(f300(x41641),x41642)) % 186.59/186.34 [4180]E(f862(f862(f147(a1,a924),a97),f862(f862(f127(a1),f862(f862(f147(a924,a1),f93(a1)),x41801)),f862(f862(f147(a924,a1),f93(a1)),x41802))),f862(f862(f127(a924),x41801),x41802)) % 186.59/186.34 [4210]E(f862(f302(a1,a1,f862(f862(f9(a1,a1,a1),f73(a1)),x42101)),f862(f295(a1,f2(a1)),f862(f862(f3(a1),x42102),x42101))),f862(f295(a1,x42101),x42102)) % 186.59/186.34 [4212]P51(x42121,f862(f862(f3(f932(f931(x42121,x42121),a921)),x42122),f299(x42121,f181(f932(f931(x42121,x42121),a921))))) % 186.59/186.34 [4230]E(f862(f182(f925(x42301)),f862(f135(f925(x42301),f925(x42301),f127(x42301),f106(x42301)),x42302)),f862(f158(a924),f862(f862(f147(f925(x42301),a924),f182(f925(x42301))),x42302))) % 186.59/186.34 [4234]P50(x42341,f234(f932(x42341,a921)),f862(f862(f103(f932(f931(x42341,x42341),a921)),x42342),f299(x42341,f181(f932(f931(x42341,x42341),a921))))) % 186.59/186.34 [4279]E(f178(a924,f2(a924),f862(f862(f10(a924,a924,a924),a105),f862(f862(f9(a924,a924,a924),f225(a924)),x42791)),x42792),f862(f862(f225(a924),x42792),f862(a105,x42791))) % 186.59/186.34 [4282]E(f178(a924,f862(a105,x42821),f862(f862(f10(a924,a924,a924),a105),f862(f862(f9(a924,a924,a924),f226(a924)),x42821)),x42822),f862(f862(f226(a924),x42822),f862(a105,x42821))) % 186.59/186.34 [4285]E(f862(f302(x42851,f925(x42851),f862(f862(f9(x42851,f925(x42851),f925(x42851)),f144(x42851)),f106(x42851))),x42852),f167(x42851,x42852,f862(f862(f301(f925(x42851)),f106(x42851)),f181(f932(f925(x42851),a921))))) % 186.59/186.34 [4287]E(f862(f862(f103(f932(f931(x42871,x42871),a921)),f862(f862(f280(x42871,x42871,x42871),x42872),f299(x42871,x42872))),f299(x42871,f181(f932(f931(x42871,x42871),a921)))),f299(x42871,x42872)) % 186.59/186.34 [4294]P1(f862(f862(f227(f932(f931(x42941,x42941),a921)),f255(x42941,x42942)),f862(f862(f246(x42941,x42941),x42942),f862(f18(f932(x42941,a921),x42941),x42942)))) % 186.59/186.34 [4297]E(f862(f302(a1,a924,a97),f862(f862(f103(f932(a1,a921)),f862(f302(a924,a1,f93(a1)),x42971)),f862(f302(a924,a1,f93(a1)),x42972))),f862(f862(f103(f932(a924,a921)),x42971),x42972)) % 186.59/186.34 [4298]E(f862(f302(a1,a924,a97),f862(f862(f94(f932(a1,a921)),f862(f302(a924,a1,f93(a1)),x42981)),f862(f302(a924,a1,f93(a1)),x42982))),f862(f862(f94(f932(a924,a921)),x42981),x42982)) % 186.59/186.34 [4301]E(f862(f254(x43011),f862(f862(f10(a921,a921,x43011),a314),f862(f862(f9(x43011,f932(x43011,a921),a921),f321(x43011)),x43012))),f862(f72(f932(x43011,a921)),x43012)) % 186.59/186.34 [4328]E(f862(f135(f925(x43281),f925(x43281),f127(x43281),f106(x43281)),f862(f862(f147(f925(x43281),f925(x43281)),f161(x43281)),f862(f161(f925(x43281)),x43282))),f862(f161(x43281),f862(f135(f925(x43281),f925(x43281),f127(x43281),f106(x43281)),x43282))) % 186.59/186.34 [4354]E(f862(f862(f33(a924,f932(f931(x43541,x43541),a921)),f234(f932(a924,a921))),f862(f862(f9(a924,f932(f931(x43541,x43541),a921),f932(f931(x43541,x43541),a921)),f176(f931(x43541,x43541),a921)),x43542)),f299(x43541,x43542)) % 186.59/186.34 [4372]E(f78(x43721,f862(f862(f10(f932(x43721,a921),a921,x43721),f862(a317,x43722)),f862(f862(f9(x43721,f932(x43721,a921),f932(x43721,a921)),f301(x43721)),f181(f932(x43721,a921))))),f304(x43721,x43722)) % 186.59/186.34 [4380]E(f862(f182(f925(x43801)),f145(x43801,f862(f135(f925(x43801),f925(x43801),f127(x43801),f106(x43801)),x43802))),f862(f28(x43801),f862(f862(f33(f925(x43801),f932(x43801,a921)),f862(f165(f925(x43801)),x43802)),f165(x43801)))) % 186.59/186.34 [4394]E(f862(f862(f103(f932(f931(x43941,x43941),a921)),x43942),f862(f862(f280(x43941,x43941,x43941),f862(f862(f280(x43941,x43941,x43941),x43942),f299(x43941,x43942))),x43942)),f862(f862(f280(x43941,x43941,x43941),x43942),f299(x43941,x43942))) % 186.59/186.34 [4418]P1(f862(f862(f227(f932(f931(x44181,x44181),a921)),f862(f862(f280(x44181,x44181,x44181),x44182),f299(x44181,x44182))),f862(f862(f246(x44181,x44181),f862(f273(x44181),x44182)),f862(f18(f932(x44181,a921),x44181),f862(f273(x44181),x44182))))) % 186.59/186.34 [4460]E(f862(f254(f925(x44601)),f862(f862(f9(f925(x44601),f932(x44601,a921),a921),f862(f862(f10(f932(x44601,a921),f932(f932(x44601,a921),a921),f925(x44601)),f227(f932(x44601,a921))),f165(x44601))),x44602)),f154(x44601,x44602)) % 186.59/186.34 [4471]E(f862(f149(f925(x44711),x44711,f106(x44711),f862(f862(f10(f925(x44711),f932(f925(x44711),f925(x44711)),x44711),f862(f9(f925(x44711),f925(x44711),f925(x44711)),f127(x44711))),f862(f862(f9(x44711,f925(x44711),f925(x44711)),f144(x44711)),f106(x44711)))),x44712),f862(f160(x44711),x44712)) % 186.59/186.34 [4511]P22(f932(x45111,x45112),f932(f931(x45111,x45112),a921),f862(f862(f10(f932(f931(x45111,x45112),a921),f932(f931(x45111,x45112),a921),f932(x45111,x45112)),f254(f931(x45111,x45112))),f862(f862(f10(f932(x45111,f932(x45112,a921)),f932(f931(x45111,x45112),a921),f932(x45111,x45112)),f249(x45111,x45112,a921)),f862(f10(x45112,f932(x45112,a921),x45111),f862(f9(x45112,x45112,a921),a317)))),f234(f932(f932(x45111,x45112),a921))) % 186.59/186.34 [4516]E(f38(a1,f862(f96(a1),f862(f862(f73(a1),x45161),x45161)),f862(f96(a1),f862(f862(f73(a1),x45162),x45162))),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f38(a1,f862(f96(a1),x45161),f862(f96(a1),x45162)))) % 186.59/186.34 [4562]E(f862(f862(f33(x45621,f932(f931(x45621,x45621),a921)),x45622),f862(f862(f9(x45621,f932(f931(x45621,x45621),a921),f932(f931(x45621,x45621),a921)),f862(f862(f10(f931(x45621,x45621),f932(f932(f931(x45621,x45621),a921),f932(f931(x45621,x45621),a921)),x45621),f301(f931(x45621,x45621))),f862(f862(f20(x45621,x45621,f931(x45621,x45621)),f244(x45621,x45621)),f7(x45621)))),f181(f932(f931(x45621,x45621),a921)))),f255(x45621,x45622)) % 186.59/186.34 [4570]E(f195(x45701,f862(f862(f244(a1,a1),f862(f72(a1),f862(f862(f66(f931(a1,a1),a1,x45701,f243(a1,a1)),f205(x45701)),x45702))),f862(f862(f66(f931(a1,a1),a1,x45701,f248(a1,a1)),f205(x45701)),x45702))),f220(x45701,x45702)) % 186.59/186.34 [4651]E(f862(f254(f932(x46511,a921)),f862(f862(f10(f932(f932(x46511,a921),a921),a921,f932(x46511,a921)),f80(f932(x46511,a921))),f862(f862(f9(f932(x46511,a921),f932(f932(x46511,a921),a921),f932(f932(x46511,a921),a921)),f862(f862(f10(f932(f932(x46511,a921),f932(a921,a921)),f932(f932(f932(x46511,a921),a921),f932(f932(x46511,a921),a921)),f932(x46511,a921)),f20(f932(x46511,a921),a921,a921)),f862(f862(f10(f932(f932(x46511,a921),a921),f932(f932(x46511,a921),f932(a921,a921)),f932(x46511,a921)),f862(f10(a921,f932(a921,a921),f932(x46511,a921)),a318)),f862(f862(f9(f932(x46511,a921),f932(f932(x46511,a921),f932(x46511,a921)),f932(f932(x46511,a921),a921)),f862(f862(f10(f932(f932(x46511,a921),a921),f932(f932(f932(x46511,a921),f932(x46511,a921)),f932(f932(x46511,a921),a921)),f932(x46511,a921)),f10(f932(x46511,a921),a921,f932(x46511,a921))),a317)),f72(f932(x46511,a921)))))),f862(f862(f10(f932(f932(x46511,a921),a921),a921,f932(x46511,a921)),f862(f321(f932(x46511,a921)),x46512)),f300(x46511))))),f862(f300(x46511),f862(f72(f932(x46511,a921)),x46512))) % 186.59/186.34 [4724]~E(f862(f862(f73(a1),x47241),x47241),f862(f862(f3(a1),f862(f862(f73(a1),x47242),x47242)),a90)) % 186.59/186.34 [4729]~P1(f862(f862(f228(a924),f862(f862(f73(a924),x47291),x47292)),x47292)) % 186.59/186.34 [4730]~P1(f862(f862(f228(a924),f862(f862(f73(a924),x47301),x47302)),x47301)) % 186.59/186.34 [4001]E(f862(f862(f3(a924),x40011),f862(f862(f74(a924),f862(f862(f29(a924),x40011),x40012)),x40012)),f38(a924,x40011,x40012)) % 186.59/186.34 [4002]E(f862(f862(f3(a1),x40021),f862(f862(f74(a1),f862(f862(f29(a1),x40021),x40022)),x40022)),f38(a1,x40021,x40022)) % 186.59/186.34 [4034]E(f862(f862(f147(a924,x40341),f862(f157(x40341),x40342)),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(x40341)),x40342)))),x40342) % 186.59/186.34 [4091]E(f862(f276(x40911,x40911,f299(x40911,f181(f932(f931(x40911,x40911),a921)))),x40912),x40912) % 186.59/186.34 [4215]E(f299(x42151,f862(f862(f103(f932(f931(x42151,x42151),a921)),x42152),f299(x42151,f181(f932(f931(x42151,x42151),a921))))),f299(x42151,x42152)) % 186.59/186.34 [4216]E(f299(x42161,f862(f862(f3(f932(f931(x42161,x42161),a921)),x42162),f299(x42161,f181(f932(f931(x42161,x42161),a921))))),f299(x42161,x42162)) % 186.59/186.34 [4266]E(f862(f862(f3(a1),f862(f862(f3(a1),f862(f862(f73(a1),x42661),x42661)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x42662),x42662)),a90)),f862(f862(f73(a1),f862(f862(f3(a1),x42661),x42662)),f862(f862(f3(a1),x42661),x42662))) % 186.59/186.34 [4306]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f73(a1),x43061),x43062)),f862(f862(f73(a1),x43061),x43062))),a90),f862(f862(f73(a1),f862(f862(f73(a1),x43061),x43061)),f862(f862(f3(a1),f862(f862(f73(a1),x43062),x43062)),a90))) % 186.59/186.34 [4331]E(f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),x43311),x43311)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x43312),x43312)),a90)),f862(f862(f73(a1),f862(f862(f73(a1),x43311),f862(f862(f3(a1),x43312),a90))),f862(f862(f73(a1),x43311),f862(f862(f3(a1),x43312),a90)))) % 186.59/186.34 [4342]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),x43421),x43422)),f862(f862(f3(a1),x43421),x43422))),a90),f862(f862(f3(a1),f862(f862(f3(a1),f862(f862(f73(a1),x43421),x43421)),a90)),f862(f862(f73(a1),x43422),x43422))) % 186.59/186.34 [4343]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f73(a1),x43431),x43432)),f862(f862(f73(a1),x43431),x43432))),a90),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),x43431),x43431)),a90)),f862(f862(f73(a1),x43432),x43432))) % 186.59/186.34 [4391]E(f862(f93(a1),f862(f862(f29(a924),f862(f862(f74(a924),f862(a97,f862(f69(a1),x43911))),f862(a97,f862(f69(a1),x43912)))),f209(f862(a97,f862(f69(a1),x43911)),f862(a97,f862(f69(a1),x43912))))),f211(x43911,x43912)) % 186.59/186.34 [4437]E(f862(f862(f251(f931(a92,a92),a92,f931(a92,a92),f931(x44371,f931(a92,a92))),f259(f862(a5,f862(f182(f925(x44371)),x44372)))),f862(f862(f10(x44371,f932(f931(a92,a92),f931(x44371,f931(a92,a92))),a92),f244(x44371,f931(a92,a92))),f862(f862(f10(a924,x44371,a92),f862(f157(x44371),x44372)),a22))),f267(x44371,x44372)) % 186.59/186.34 [4517]E(f862(f135(a924,f925(x45171),f862(f9(f925(x45171),a924,a924),f862(f862(f10(a924,f932(a924,a924),f925(x45171)),f226(a924)),f182(f925(x45171)))),f2(a924)),f862(f161(f925(x45171)),f172(x45171,x45172))),f862(f182(f925(f925(x45171))),f862(f129(f925(x45171),f862(f862(f10(a921,a921,f925(x45171)),a314),f862(f862(f9(f925(x45171),f925(x45171),a921),a317),f106(x45171)))),x45172))) % 186.59/186.34 [4523]E(f862(f862(f33(a924,f932(x45231,a921)),f234(f932(a924,a921))),f862(f862(f9(a924,f932(a924,f932(x45231,a921)),f932(x45231,a921)),f862(f862(f10(f932(a924,a921),f932(f932(a924,f932(x45231,a921)),f932(x45231,a921)),a924),f33(a924,f932(x45231,a921))),f295(a924,f2(a924)))),x45232)),f862(f862(f33(a924,f932(x45231,a921)),f234(f932(a924,a921))),x45232)) % 186.59/186.34 [4547]P1(f862(f54(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),x45471)),f862(f862(f9(a924,a924,a921),f228(a924)),x45472))))) % 186.59/186.34 [4659]E(f862(f254(f931(f925(x46591),f925(x46591))),f862(f249(f925(x46591),f925(x46591),a921),f862(f862(f20(f925(x46591),f932(f925(x46591),a921),f932(f925(x46591),a921)),f862(f862(f10(f932(f925(x46591),f932(a921,a921)),f932(f932(f925(x46591),a921),f932(f925(x46591),a921)),f925(x46591)),f20(f925(x46591),a921,a921)),f862(f862(f10(f932(f925(x46591),a921),f932(f925(x46591),f932(a921,a921)),f925(x46591)),f862(f10(a921,f932(a921,a921),f925(x46591)),a319)),f862(f862(f9(f925(x46591),f932(f925(x46591),a924),f932(f925(x46591),a921)),f862(f862(f10(f932(a924,a921),f932(f932(f925(x46591),a924),f932(f925(x46591),a921)),f925(x46591)),f10(a924,a921,f925(x46591))),f862(f862(f10(a924,f932(a924,a921),f925(x46591)),f228(a924)),f182(f925(x46591))))),f182(f925(x46591)))))),f862(f862(f20(f925(x46591),f932(f925(x46591),a921),f932(f925(x46591),a921)),f862(f862(f10(f932(f925(x46591),f932(a921,a921)),f932(f932(f925(x46591),a921),f932(f925(x46591),a921)),f925(x46591)),f20(f925(x46591),a921,a921)),f862(f862(f10(f932(f925(x46591),a921),f932(f925(x46591),f932(a921,a921)),f925(x46591)),f862(f10(a921,f932(a921,a921),f925(x46591)),a318)),f862(f862(f9(f925(x46591),f932(f925(x46591),a924),f932(f925(x46591),a921)),f862(f862(f10(f932(a924,a921),f932(f932(f925(x46591),a924),f932(f925(x46591),a921)),f925(x46591)),f10(a924,a921,f925(x46591))),f862(f862(f10(a924,f932(a924,a921),f925(x46591)),a317),f182(f925(x46591))))),f182(f925(x46591)))))),f862(f862(f9(f925(x46591),f932(f931(f925(x46591),f925(x46591)),a921),f932(f925(x46591),a921)),f862(f862(f10(f932(f925(x46591),f932(f932(f931(f925(x46591),f925(x46591)),a921),a921)),f932(f932(f931(f925(x46591),f925(x46591)),a921),f932(f925(x46591),a921)),f925(x46591)),f9(f925(x46591),f932(f931(f925(x46591),f925(x46591)),a921),a921)),f862(f862(f10(f932(f925(x46591),f931(f925(x46591),f925(x46591))),f932(f925(x46591),f932(f932(f931(f925(x46591),f925(x46591)),a921),a921)),f925(x46591)),f862(f10(f931(f925(x46591),f925(x46591)),f932(f932(f931(f925(x46591),f925(x46591)),a921),a921),f925(x46591)),f321(f931(f925(x46591),f925(x46591))))),f244(f925(x46591),f925(x46591))))),f138(x46591,x46592)))))),f139(x46591,x46592)) % 186.59/186.34 [4735]~P1(f862(f862(f84(a1),f862(f862(f73(a1),x47351),x47351)),f862(f862(f3(a1),f862(f862(f73(a1),x47352),x47352)),a90))) % 186.59/186.34 [4334]E(f862(f862(f73(a1),f862(f862(f73(a1),f862(f862(f74(a1),x43341),x43342)),f862(f862(f74(a1),x43341),x43342))),x43342),f862(f862(f74(a1),f862(f862(f3(a1),f862(f862(f73(a1),x43341),x43341)),a90)),x43342)) % 186.59/186.34 [4436]E(f862(a97,f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x44361),x44362)),f181(f932(f931(a924,a924),a921)))))),f862(f862(f3(a924),x44361),x44362)) % 186.59/186.34 [4440]E(f862(f862(f280(x44401,x44401,x44401),f862(f862(f103(f932(f931(x44401,x44401),a921)),x44402),f299(x44401,f181(f932(f931(x44401,x44401),a921))))),f299(x44401,f862(f862(f103(f932(f931(x44401,x44401),a921)),x44402),f299(x44401,f181(f932(f931(x44401,x44401),a921)))))),f299(x44401,x44402)) % 186.59/186.34 [4477]E(f260(x44771,f862(f129(f931(a92,x44771),f862(f249(a92,x44771,a921),f862(f862(f10(a921,f932(x44771,a921),a92),f18(a921,x44771)),f862(f228(a92),f2(a92))))),x44772)),f260(x44771,x44772)) % 186.59/186.34 [4478]E(f258(x44781,f862(f129(f931(a92,x44781),f862(f249(a92,x44781,a921),f862(f862(f10(a921,f932(x44781,a921),a92),f18(a921,x44781)),f862(f228(a92),f2(a92))))),x44782)),f258(x44781,x44782)) % 186.59/186.34 [4480]E(f862(f72(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x44801),x44802)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x44802),x44801)),f181(f932(f931(a924,a924),a921)))))) % 186.59/186.34 [4538]E(f862(f862(f279(f925(a924),x45381),f138(a924,a232)),f862(f862(f9(x45381,f925(f932(x45381,a924)),f925(a924)),f862(f862(f10(f932(f932(x45381,a924),a924),f932(f925(f932(x45381,a924)),f925(a924)),x45381),f147(f932(x45381,a924),a924)),f862(f9(f932(x45381,a924),x45381,a924),f7(f932(x45381,a924))))),x45382)),f146(x45381,x45382)) % 186.59/186.34 [4559]E(f862(f862(f79(a1,a924),f862(f96(a1),f862(f862(f73(a1),x45591),a90))),f862(f862(f20(a1,a924,a924),f862(f862(f9(a1,a924,f932(a924,a924)),f862(f862(f10(a921,f932(a924,f932(a924,a924)),a1),f89(a924)),a186)),f2(a924))),f862(f862(f10(a924,a924,a1),a105),f862(f862(f10(a924,a924,a1),f862(f225(a924),x45592)),a97)))),f862(f862(f225(a924),f862(a105,x45592)),f862(f96(a924),x45591))) % 186.59/186.34 [4560]E(f862(f862(f79(a1,a924),f862(f96(a1),f862(f862(f73(a1),x45601),a90))),f862(f862(f20(a1,a924,a924),f862(f862(f9(a1,a924,f932(a924,a924)),f862(f862(f10(a921,f932(a924,f932(a924,a924)),a1),f89(a924)),a186)),f862(a105,x45602))),f862(f862(f10(a924,a924,a1),a105),f862(f862(f10(a924,a924,a1),f862(f226(a924),x45602)),a97)))),f862(f862(f226(a924),f862(a105,x45602)),f862(f96(a924),x45601))) % 186.59/186.34 [4580]E(f862(f135(f925(x45801),f925(x45801),f127(x45801),f106(x45801)),f862(f862(f147(f925(x45801),f925(x45801)),f149(f925(x45801),x45801,f106(x45801),f862(f862(f10(f925(x45801),f932(f925(x45801),f925(x45801)),x45801),f18(f925(x45801),f925(x45801))),f862(f862(f9(x45801,f925(x45801),f925(x45801)),f144(x45801)),f106(x45801))))),x45802)),f862(f862(f147(f925(x45801),x45801),f134(x45801)),f862(f129(f925(x45801),f862(f862(f10(a921,a921,f925(x45801)),a314),f862(f862(f9(f925(x45801),f925(x45801),a921),a317),f106(x45801)))),x45802))) % 186.59/186.34 [4642]E(f862(f249(a1,a1,a921),f862(f862(f9(a1,f932(a1,a921),f932(a1,a921)),f862(f862(f10(f932(a1,f932(a921,a921)),f932(f932(a1,a921),f932(a1,a921)),a1),f20(a1,a921,a921)),f862(f862(f10(f932(a1,a921),f932(a1,f932(a921,a921)),a1),f862(f10(a921,f932(a921,a921),a1),a318)),f862(f862(f10(f932(a1,a1),f932(a1,a921),a1),f862(f10(a1,a921,a1),f862(a317,x46421))),f862(f862(f10(a1,f932(a1,a1),a1),f73(a1)),f862(f74(a1),x46422)))))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),f862(a322,f862(f862(f228(a1),f2(a1)),x46422))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),f862(f862(f9(a1,a1,a921),f228(a1)),x46422))))),f862(f862(f10(a921,a921,a1),f862(a322,f862(a314,f862(f862(f228(a1),f2(a1)),x46422)))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f228(a1),x46422))),f862(f862(f9(a1,a1,a921),f227(a1)),f2(a1))))))),f42(x46421,x46422)) % 186.59/186.34 [4645]E(f862(f254(x46451),f862(f862(f10(f932(a924,a921),a921,x46451),f80(a924)),f862(f862(f9(x46451,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),x46451),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),x46451),f862(f10(a921,f932(a921,a921),a924),a318)),f862(f862(f9(x46451,f932(a924,x46451),f932(a924,a921)),f862(f862(f10(f932(x46451,a921),f932(f932(a924,x46451),f932(a924,a921)),x46451),f10(x46451,a921,a924)),a317)),f862(f157(x46451),x46452))))),f862(f862(f9(a924,a924,a921),f228(a924)),f862(f182(f925(x46451)),x46452))))),f862(f165(x46451),x46452)) % 186.59/186.34 [4450]E(f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),x44501),a90)),x44502)),f862(f862(f3(a1),f862(f862(f73(a1),x44501),a90)),x44502))),a90),f862(f862(f3(a1),f862(f862(f73(a1),x44501),x44501)),f862(f862(f3(a1),f862(f862(f73(a1),x44502),x44502)),a90))) % 186.59/186.34 [4575]E(f862(f135(f925(f925(x45751)),f925(f925(x45751)),f127(f925(x45751)),f106(f925(x45751))),f862(f862(f147(f925(x45751),f925(f925(x45751))),f149(f925(f925(x45751)),x45751,f106(f925(x45751)),f862(f18(f932(f925(x45751),f925(f925(x45751))),x45751),f862(f862(f9(f925(x45751),f925(f925(x45751)),f925(f925(x45751))),f144(f925(x45751))),f106(f925(x45751)))))),x45752)),f862(f862(f147(f925(x45751),f925(x45751)),f164(x45751)),f862(f129(f925(x45751),f862(f862(f10(a921,a921,f925(x45751)),a314),f862(f862(f9(f925(x45751),f925(x45751),a921),a317),f106(x45751)))),x45752))) % 186.59/186.34 [4585]E(f862(f862(f79(a1,a924),f862(f96(a1),f862(f862(f73(a1),x45851),a90))),f862(f862(f20(a1,a924,a924),f862(f862(f9(a1,a924,f932(a924,a924)),f862(f862(f10(a921,f932(a924,f932(a924,a924)),a1),f89(a924)),a186)),f2(a924))),f862(f862(f10(a924,a924,a1),a105),f862(f862(f9(a1,a924,a924),f862(f862(f10(a924,f932(a924,a924),a1),f225(a924)),a97)),x45852)))),f862(f862(f225(a924),f862(f96(a924),x45851)),f862(a105,x45852))) % 186.59/186.34 [4586]E(f862(f862(f79(a1,a924),f862(f96(a1),f862(f862(f73(a1),x45861),a90))),f862(f862(f20(a1,a924,a924),f862(f862(f9(a1,a924,f932(a924,a924)),f862(f862(f10(a921,f932(a924,f932(a924,a924)),a1),f89(a924)),a186)),f862(a105,x45862))),f862(f862(f10(a924,a924,a1),a105),f862(f862(f9(a1,a924,a924),f862(f862(f10(a924,f932(a924,a924),a1),f226(a924)),a97)),x45862)))),f862(f862(f226(a924),f862(f96(a924),x45861)),f862(a105,x45862))) % 186.59/186.34 [4574]E(f862(f249(x45741,x45741,a921),f862(f862(f20(x45741,a921,f932(x45741,a921)),f862(f862(f10(f932(x45741,f932(a921,a921)),f932(a921,f932(x45741,a921)),x45741),f9(x45741,a921,a921)),f862(f862(f10(f932(x45741,a921),f932(x45741,f932(a921,a921)),x45741),f862(f10(a921,f932(a921,a921),x45741),a318)),a317))),x45742)),f255(x45741,x45742)) % 186.59/186.34 [4619]E(f862(f862(f29(a924),x46191),f862(f862(f73(a924),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),x46192)),f862(f862(f29(a924),x46191),f862(a105,f862(a105,f862(a105,x46192))))) % 186.59/186.34 [4620]E(f38(a924,x46201,f862(f862(f73(a924),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),x46202)),f38(a924,x46201,f862(a105,f862(a105,f862(a105,x46202))))) % 186.59/186.34 [4621]E(f38(a924,f862(f862(f73(a924),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),x46211),x46212),f38(a924,f862(a105,f862(a105,f862(a105,x46211))),x46212)) % 186.59/186.34 [4633]E(f116(f862(x46331,f862(f862(f74(a92),f862(f96(a92),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),x46332))),f862(f193(x46331),x46332)) % 186.59/186.34 [4634]E(f862(f862(f29(a924),f862(f862(f73(a924),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),x46341)),x46342),f862(f862(f29(a924),f862(a105,f862(a105,f862(a105,x46341)))),x46342)) % 186.59/186.34 [4688]~E(f119(x46881,x46882,x46883),f112(x46881)) % 186.59/186.34 [3436]E(f862(f185(x34361,x34362),x34363),f114(x34361,x34362)) % 186.59/186.34 [3456]E(f862(f192(x34561,x34562),x34563),f862(f122(x34561),x34562)) % 186.59/186.34 [3535]E(f862(f862(f147(x35351,x35352),x35353),f106(x35351)),f106(x35352)) % 186.59/186.34 [3574]E(f862(f177(x35741,x35742,x35743),f2(a924)),x35742) % 186.59/186.34 [3576]E(f862(f862(f174(x35761,x35762),x35763),f106(x35762)),f106(f931(x35761,x35762))) % 186.59/186.34 [3589]E(f862(f182(f925(x35891)),f162(x35891,x35892,x35893)),x35892) % 186.59/186.34 [3608]E(f78(x36081,f55(x36081,x36082,x36083)),f862(f56(x36081,x36082),x36083)) % 186.59/186.34 [3612]E(f235(x36121,x36122,f235(x36122,x36121,x36123)),x36123) % 186.59/186.34 [3632]E(f862(f161(x36321),f162(x36321,x36322,x36323)),f162(x36321,x36322,x36323)) % 186.59/186.34 [3657]E(f133(x36571,x36572,f145(x36571,x36573)),f145(x36571,f133(x36571,x36572,x36573))) % 186.59/186.34 [3676]E(f862(f243(f925(x36761),f925(x36761)),f159(x36761,x36762,x36763)),f862(f129(x36761,x36762),x36763)) % 186.59/186.34 [3720]E(f862(f862(f144(x37201),x37202),f162(x37201,x37203,x37202)),f162(x37201,f862(a105,x37203),x37202)) % 186.59/186.34 [3752]E(f19(x37521,x37522,x37523,f2(a92)),x37522) % 186.59/186.34 [3753]E(f178(x37531,x37532,x37533,f2(a924)),x37532) % 186.59/186.34 [3754]E(f21(x37541,x37542,x37543,f2(a92)),x37542) % 186.59/186.34 [3761]E(f156(x37611,x37612,x37613,f106(x37611)),f106(x37612)) % 186.59/186.34 [3762]E(f123(x37621,x37622,x37623,f112(x37621)),f112(x37622)) % 186.59/186.34 [3768]E(f862(f862(f157(x37681),f862(f862(f144(x37681),x37682),x37683)),f2(a924)),x37682) % 186.59/186.34 [3796]E(f52(x37961,x37962,f106(x37961),x37963),f106(f931(x37961,x37962))) % 186.59/186.34 [3816]P22(x38161,x38162,x38163,f181(f932(x38161,a921))) % 186.59/186.34 [3918]E(f257(x39181,x39182,x39183),f862(f244(f932(a92,f932(a921,f928(f926(x39181)))),f931(a92,a92)),f34(x39181))) % 186.59/186.34 [3975]E(f862(f66(x39751,x39752,x39751,x39753),f25(x39751)),x39753) % 186.59/186.34 [4150]P1(f862(f862(f321(f931(x41501,x41501)),f862(f862(f244(x41501,x41501),x41502),x41502)),f299(x41501,x41503))) % 186.59/186.34 [4736]~P1(f862(f862(f321(f931(f925(x47361),f925(x47361))),f862(f862(f244(f925(x47361),f925(x47361)),x47362),f106(x47361))),f138(x47361,x47363))) % 186.59/186.34 [4737]~P1(f862(f862(f321(f931(f925(x47371),f925(x47371))),f862(f862(f244(f925(x47371),f925(x47371)),x47372),f106(x47371))),f140(x47371,x47373))) % 186.59/186.34 [4738]~P1(f862(f862(f321(f931(f925(x47381),f925(x47381))),f862(f862(f244(f925(x47381),f925(x47381)),x47382),f106(x47381))),f150(x47381,x47383))) % 186.59/186.34 [4739]~P1(f862(f862(f321(f931(f925(x47391),f925(x47391))),f862(f862(f244(f925(x47391),f925(x47391)),f106(x47391)),x47392)),f138(x47391,x47393))) % 186.59/186.34 [4740]~P1(f862(f862(f321(f931(f925(x47401),f925(x47401))),f862(f862(f244(f925(x47401),f925(x47401)),f106(x47401)),x47402)),f150(x47401,x47403))) % 186.59/186.34 [3509]E(f862(f862(f194(x35091),x35092),x35093),f195(x35091,f208(x35092,x35093))) % 186.59/186.34 [3563]E(f862(f277(x35631,x35632),f862(f277(x35632,x35631),x35633)),x35633) % 186.59/186.34 [3584]E(f862(f862(f174(x35841,x35842),f106(x35841)),x35843),f106(f931(x35841,x35842))) % 186.59/186.34 [3587]E(f169(x35871,x35872,f862(f292(a924),x35873)),f862(f862(f168(x35871),x35873),x35872)) % 186.59/186.34 [3605]E(f145(x36051,f862(f129(x36051,x36052),x36053)),f862(f129(x36051,x36052),f145(x36051,x36053))) % 186.59/186.34 [3606]E(f862(f275(x36061,x36062),f862(f277(x36062,x36061),x36063)),f862(f256(x36062,x36061),x36063)) % 186.59/186.34 [3607]E(f862(f256(x36071,x36072),f862(f277(x36072,x36071),x36073)),f862(f275(x36072,x36071),x36073)) % 186.59/186.34 [3625]E(f862(f129(x36251,x36252),f862(f161(x36251),x36253)),f862(f161(x36251),f862(f129(x36251,x36252),x36253))) % 186.59/186.34 [3637]E(f862(f862(f131(x36371),x36372),f862(f164(x36371),x36373)),f862(f862(f131(x36371),f862(a105,x36372)),x36373)) % 186.59/186.34 [3653]E(f862(f302(x36531,x36532,x36533),f181(f932(x36531,a921))),f181(f932(x36532,a921))) % 186.59/186.34 [3654]E(f862(f276(x36541,x36542,x36543),f181(f932(x36541,a921))),f181(f932(x36542,a921))) % 186.59/186.34 [3655]E(f862(f303(x36551,x36552,x36553),f181(f932(x36552,a921))),f181(f932(x36551,a921))) % 186.59/186.34 [3656]E(f862(f303(x36561,x36562,x36563),f234(f932(x36562,a921))),f234(f932(x36561,a921))) % 186.59/186.34 [3682]E(f113(x36821,f119(f926(x36821),x36822,x36823)),f109(x36821,x36822,f113(x36821,x36823))) % 186.59/186.34 [3684]E(f862(f862(f301(x36841),x36842),f862(f165(x36841),x36843)),f862(f165(x36841),f133(x36841,x36842,x36843))) % 186.59/186.34 [3772]E(f862(f302(f931(x37721,x37722),x37722,f248(x37721,x37722)),x37723),f862(f275(x37721,x37722),x37723)) % 186.59/186.34 [3773]E(f862(f302(f931(x37731,x37732),x37731,f243(x37731,x37732)),x37733),f862(f256(x37731,x37732),x37733)) % 186.59/186.34 [3788]E(f862(f165(x37881),f162(x37881,f862(a105,x37882),x37883)),f862(f862(f301(x37881),x37883),f181(f932(x37881,a921)))) % 186.59/186.34 [3845]E(f862(f862(f244(x38451,x38452),f862(f243(x38451,x38452),x38453)),f862(f248(x38451,x38452),x38453)),x38453) % 186.59/186.34 [3852]E(f862(f182(f926(x38521)),f119(x38521,x38522,x38523)),f862(f862(f73(a924),f862(f182(f926(x38521)),x38523)),f862(a105,f2(a924)))) % 186.59/186.34 [3854]E(f862(f862(f249(x38541,x38542,x38541),f18(x38541,x38542)),x38543),f862(f243(x38541,x38542),x38543)) % 186.59/186.34 [3980]E(f862(f66(x39801,x39801,x39802,f25(x39801)),x39803),x39803) % 186.59/186.34 [3987]E(f862(f862(f127(x39871),f162(x39871,x39872,x39873)),f862(f862(f144(x39871),x39873),f106(x39871))),f862(f862(f144(x39871),x39873),f162(x39871,x39872,x39873))) % 186.59/186.34 [4159]P1(f862(f862(f227(f932(x41591,a921)),f862(f165(x41591),f862(f129(x41591,x41592),x41593))),f862(f165(x41591),x41593))) % 186.59/186.34 [4201]P1(f862(f862(f227(f932(x42011,a921)),f862(f165(x42011),f862(f862(f168(x42011),x42012),x42013))),f862(f165(x42011),x42013))) % 186.59/186.34 [4202]P1(f862(f862(f227(f932(x42021,a921)),f862(f165(x42021),f862(f862(f131(x42021),x42022),x42023))),f862(f165(x42021),x42023))) % 186.59/186.34 [4206]P1(f862(f862(f227(f932(x42061,a921)),f862(f165(x42061),f169(x42061,x42062,x42063))),f862(f165(x42061),x42062))) % 186.59/186.34 [4207]P1(f862(f862(f227(f932(x42071,a921)),f862(f165(x42071),f163(x42071,x42072,x42073))),f862(f165(x42071),x42073))) % 186.59/186.34 [4228]P22(f931(x42281,x42282),f931(x42282,x42281),f862(f249(x42281,x42282,f931(x42282,x42281)),f862(f9(x42282,x42281,f931(x42282,x42281)),f244(x42282,x42281))),x42283) % 186.59/186.34 [4239]E(f862(f862(f862(f176(f925(x42391),f925(x42391)),f38(a924,x42392,f862(f182(f925(x42391)),x42393))),f160(x42391)),x42393),f862(f862(f862(f176(f925(x42391),f925(x42391)),x42392),f160(x42391)),x42393)) % 186.59/186.34 [4283]P1(f862(f862(f321(f931(f925(x42831),f925(x42831))),f862(f862(f244(f925(x42831),f925(x42831)),x42832),x42832)),f151(x42831,f299(x42831,x42833)))) % 186.59/186.34 [4422]E(f78(f931(x44221,x44222),f862(f862(f20(f931(x44221,x44222),x44222,a921),f862(f862(f10(x44221,f932(x44222,a921),f931(x44221,x44222)),x44223),f243(x44221,x44222))),f248(x44221,x44222))),f78(f931(x44221,x44222),f862(f249(x44221,x44222,a921),x44223))) % 186.59/186.34 [4423]E(f83(f931(x44231,x44232),f862(f862(f20(f931(x44231,x44232),x44232,a921),f862(f862(f10(x44231,f932(x44232,a921),f931(x44231,x44232)),x44233),f243(x44231,x44232))),f248(x44231,x44232))),f83(f931(x44231,x44232),f862(f249(x44231,x44232,a921),x44233))) % 186.59/186.34 [4457]E(f862(f862(f279(f931(a924,x44571),x44571),f311(a924,x44571,a232,x44572)),f862(f862(f20(x44571,x44571,f931(a924,x44571)),f862(f862(f10(a924,f932(x44571,f931(a924,x44571)),x44571),f244(a924,x44571)),x44573)),f7(x44571))),f313(x44571,x44573,x44572)) % 186.59/186.34 [4519]E(f862(f250(x45191,x45191,x45192,x45192,f7(x45191),f7(x45192)),x45193),x45193) % 186.59/186.34 [4594]E(f862(f135(f925(f925(x45941)),f925(f925(x45941)),f127(f925(x45941)),f106(f925(x45941))),f862(f862(f147(f925(x45941),f925(f925(x45941))),f862(f862(f9(f925(x45941),f925(x45941),f925(f925(x45941))),f862(f862(f10(f932(x45941,f925(x45941)),f932(f925(x45941),f925(f925(x45941))),f925(x45941)),f147(x45941,f925(x45941))),f862(f9(x45941,f925(x45941),f925(x45941)),f144(x45941)))),x45942)),f48(x45941,x45943,x45942))),f48(x45941,f862(a105,x45943),x45942)) % 186.59/186.34 [4650]E(f216(a924,f931(x46501,f926(x46501)),f2(a924),f862(f249(x46501,f926(x46501),a924),f862(f862(f9(x46501,a924,f932(f926(x46501),a924)),f862(f862(f10(f932(f926(x46501),f932(a924,a924)),f932(a924,f932(f926(x46501),a924)),x46501),f9(f926(x46501),a924,a924)),f862(f862(f10(f932(f926(x46501),a924),f932(f926(x46501),f932(a924,a924)),x46501),f862(f10(a924,f932(a924,a924),f926(x46501)),f73(a924))),f862(f862(f9(x46501,f932(f926(x46501),a924),f932(f926(x46501),a924)),f862(f862(f10(f932(a924,a924),f932(f932(f926(x46501),a924),f932(f926(x46501),a924)),x46501),f10(a924,a924,f926(x46501))),f862(f862(f10(a924,f932(a924,a924),x46501),f73(a924)),x46502))),f118(x46501,x46502))))),f71(a924))),f862(f128(x46501),x46503)),f862(f118(x46501,x46502),x46503)) % 186.59/186.34 [4658]E(f862(f862(f79(a1,x46581),f211(f862(f862(f66(f931(a1,a1),a1,x46581,f248(a1,a1)),f205(x46581)),x46582),f862(f862(f66(f931(a1,a1),a1,x46581,f248(a1,a1)),f205(x46581)),x46583))),f862(f862(f20(a1,a1,x46581),f862(f862(f10(a1,f932(a1,x46581),a1),f194(x46581)),f862(f862(f20(a1,a1,a1),f862(f862(f10(a1,f932(a1,a1),a1),f73(a1)),f862(f862(f10(a1,a1,a1),f862(f74(a1),f862(f862(f66(f931(a1,a1),a1,x46581,f243(a1,a1)),f205(x46581)),x46582))),f862(f862(f9(a1,a1,a1),f29(a1)),f862(f862(f66(f931(a1,a1),a1,x46581,f248(a1,a1)),f205(x46581)),x46582))))),f862(f862(f10(a1,a1,a1),f862(f74(a1),f862(f862(f66(f931(a1,a1),a1,x46581,f243(a1,a1)),f205(x46581)),x46583))),f862(f862(f9(a1,a1,a1),f29(a1)),f862(f862(f66(f931(a1,a1),a1,x46581,f248(a1,a1)),f205(x46581)),x46583)))))),f7(a1))),f223(x46581,x46582,x46583)) % 186.59/186.34 [4683]~E(f862(f862(f144(x46831),x46832),x46833),x46833) % 186.59/186.34 [4686]~E(f862(f862(f144(x46861),x46862),x46863),f106(x46861)) % 186.59/186.34 [4692]~E(f862(f862(f301(x46921),x46922),x46923),f181(f932(x46921,a921))) % 186.59/186.34 [4714]~E(f862(f302(x47141,f932(x47141,a921),x47142),x47143),f862(f300(x47141),x47143)) % 186.59/186.34 [3568]E(f862(f862(f152(x35681,f106(x35681)),x35682),x35683),f106(x35681)) % 186.59/186.34 [3569]E(f862(f134(x35691),f862(f862(f144(x35691),x35692),x35693)),x35692) % 186.59/186.34 [3570]E(f862(f164(x35701),f862(f862(f144(x35701),x35702),x35703)),x35703) % 186.59/186.34 [3611]E(f862(f862(f131(x36111),f71(a924)),f862(f862(f144(x36111),x36112),x36113)),x36113) % 186.59/186.34 [3644]E(f107(x36441,f862(f862(f131(x36441),x36442),x36443)),f862(f862(f131(x36441),x36442),f107(x36441,x36443))) % 186.59/186.34 [3646]E(f862(f862(f152(x36461,x36462),x36463),f862(f862(f157(x36461),x36462),x36463)),x36462) % 186.59/186.34 [3666]E(f862(f862(f301(x36661),x36662),f862(f862(f301(x36661),x36662),x36663)),f862(f862(f301(x36661),x36662),x36663)) % 186.59/186.34 [3679]E(f862(f862(f301(x36791),x36792),f862(f165(x36791),x36793)),f862(f165(x36791),f862(f862(f144(x36791),x36792),x36793))) % 186.59/186.34 [3681]E(f862(f862(f131(x36811),x36812),f862(f164(x36811),x36813)),f862(f164(x36811),f862(f862(f131(x36811),x36812),x36813))) % 186.59/186.34 [3693]E(f862(f862(f168(x36931),f71(a924)),f862(f862(f144(x36931),x36932),x36933)),f862(f862(f144(x36931),x36932),f106(x36931))) % 186.59/186.34 [3737]E(f862(f56(x37371,x37372),f862(f862(f301(x37371),x37373),f181(f932(x37371,a921)))),x37373) % 186.59/186.34 [3778]E(f862(f862(f73(a924),x37781),f862(f862(f73(a924),x37782),x37783)),f862(f862(f73(a924),x37782),f862(f862(f73(a924),x37781),x37783))) % 186.59/186.34 [3779]E(f862(f862(f73(a1),x37791),f862(f862(f73(a1),x37792),x37793)),f862(f862(f73(a1),x37792),f862(f862(f73(a1),x37791),x37793))) % 186.59/186.34 [3784]E(f862(f862(f246(x37841,x37842),f181(f932(x37841,a921))),x37843),f181(f932(f931(x37841,x37842),a921))) % 186.59/186.34 [3808]E(f862(f862(f103(f932(x38081,a921)),x38082),x38083),f862(f862(f103(f932(x38081,a921)),x38083),x38082)) % 186.59/186.34 [3809]E(f862(f862(f94(f932(x38091,a921)),x38092),x38093),f862(f862(f94(f932(x38091,a921)),x38093),x38092)) % 186.59/186.34 [3811]E(f862(f862(f127(x38111),x38112),f862(f862(f144(x38111),x38113),f106(x38111))),f862(f160(x38111),f862(f862(f144(x38111),x38113),x38112))) % 186.59/186.34 [3812]E(f862(f862(f127(x38121),f862(f161(x38121),x38122)),f862(f161(x38121),x38123)),f862(f161(x38121),f862(f862(f127(x38121),x38123),x38122))) % 186.59/186.34 [3822]E(f862(f164(x38221),f862(f862(f168(x38221),f862(a105,x38222)),x38223)),f862(f862(f168(x38221),x38222),f862(f164(x38221),x38223))) % 186.59/186.34 [3830]P1(f862(f862(f321(x38301),x38302),f862(f862(f301(x38301),x38302),x38303))) % 186.59/186.34 [3834]E(f862(f862(f32(x38341,f932(x38342,a921)),f181(f932(x38341,a921))),x38343),f234(f932(x38342,a921))) % 186.59/186.34 [3837]E(f862(f276(x38371,x38371,f255(x38371,x38372)),x38373),f862(f862(f94(f932(x38371,a921)),x38372),x38373)) % 186.59/186.34 [3851]E(f862(f182(f925(x38511)),f862(f862(f144(x38511),x38512),x38513)),f862(f862(f73(a924),f862(f182(f925(x38511)),x38513)),f862(a105,f2(a924)))) % 186.59/186.34 [3856]E(f107(x38561,f862(f862(f127(x38561),x38562),f862(f862(f144(x38561),x38563),f106(x38561)))),x38562) % 186.59/186.34 [3857]E(f137(x38571,f862(f862(f127(x38571),x38572),f862(f862(f144(x38571),x38573),f106(x38571)))),x38573) % 186.59/186.34 [3865]E(f862(f862(f127(x38651),f862(f862(f168(x38651),x38652),x38653)),f862(f862(f131(x38651),x38652),x38653)),x38653) % 186.59/186.34 [3874]E(f862(f862(f3(a924),f862(f862(f73(a924),x38741),x38742)),f862(f862(f73(a924),x38743),x38742)),f862(f862(f3(a924),x38741),x38743)) % 186.59/186.34 [3875]E(f862(f862(f3(a924),f862(f862(f73(a924),x38751),x38752)),f862(f862(f73(a924),x38751),x38753)),f862(f862(f3(a924),x38752),x38753)) % 186.59/186.34 [3881]E(f862(f862(f127(x38811),f862(f161(x38811),x38812)),f862(f862(f144(x38811),x38813),f106(x38811))),f862(f161(x38811),f862(f862(f144(x38811),x38813),x38812))) % 186.59/186.34 [3883]E(f862(f862(f73(a924),f862(f182(f925(x38831)),x38832)),f862(f182(f925(x38831)),x38833)),f862(f182(f925(x38831)),f862(f862(f127(x38831),x38832),x38833))) % 186.59/186.34 [3886]E(f862(f862(f73(a924),f862(f182(f925(x38861)),x38862)),f862(f182(f925(x38861)),x38863)),f862(f182(f925(x38861)),f166(x38861,x38862,x38863))) % 186.59/186.34 [3893]E(f862(f862(f103(f932(x38931,a921)),f862(f165(x38931),x38932)),f862(f165(x38931),x38933)),f862(f165(x38931),f862(f862(f127(x38931),x38932),x38933))) % 186.59/186.34 [3894]E(f38(a924,f862(f862(f74(a924),x38941),x38942),f862(f862(f74(a924),x38941),x38943)),f862(f862(f74(a924),x38941),f38(a924,x38942,x38943))) % 186.59/186.34 [3906]E(f862(f862(f168(x39061),f862(f862(f3(a924),x39062),f71(a924))),f862(f164(x39061),x39063)),f862(f164(x39061),f862(f862(f168(x39061),x39062),x39063))) % 186.59/186.34 [3911]E(f862(f862(f94(f932(x39111,a921)),x39112),f862(f72(f932(x39111,a921)),x39113)),f862(f862(f3(f932(x39111,a921)),x39112),x39113)) % 186.59/186.34 [3912]E(f862(f862(f3(f932(x39121,a921)),x39122),f862(f72(f932(x39121,a921)),x39123)),f862(f862(f94(f932(x39121,a921)),x39122),x39123)) % 186.59/186.34 [3934]E(f862(f862(f246(x39341,x39342),x39343),f862(f18(f932(x39342,a921),x39341),f181(f932(x39342,a921)))),f181(f932(f931(x39341,x39342),a921))) % 186.59/186.34 [3936]E(f862(f862(f3(a924),f862(f862(f74(a924),x39361),x39362)),f862(f862(f74(a924),x39361),x39363)),f862(f862(f74(a924),x39361),f862(f862(f3(a924),x39362),x39363))) % 186.59/186.34 [3937]E(f862(f862(f73(a924),f862(f862(f74(a924),x39371),x39372)),f862(f862(f74(a924),x39371),x39373)),f862(f862(f74(a924),x39371),f862(f862(f73(a924),x39372),x39373))) % 186.59/186.34 [3938]E(f862(f862(f3(a1),f862(f862(f74(a1),x39381),x39382)),f862(f862(f74(a1),x39381),x39383)),f862(f862(f74(a1),x39381),f862(f862(f3(a1),x39382),x39383))) % 186.59/186.34 [3939]E(f862(f862(f73(a1),f862(f862(f74(a1),x39391),x39392)),f862(f862(f74(a1),x39391),x39393)),f862(f862(f74(a1),x39391),f862(f862(f73(a1),x39392),x39393))) % 186.59/186.34 [3940]E(f862(f862(f74(a1),f862(f862(f236(a1),x39401),x39402)),f862(f862(f236(a1),x39401),x39403)),f862(f862(f236(a1),x39401),f862(f862(f73(a924),x39402),x39403))) % 186.59/186.34 [3954]E(f862(f862(f33(x39541,f932(x39542,a921)),x39543),f862(f18(f932(x39542,a921),x39541),f181(f932(x39542,a921)))),f181(f932(x39542,a921))) % 186.59/186.34 [3956]E(f38(a924,f862(f862(f74(a924),x39561),x39562),f862(f862(f74(a924),x39563),x39562)),f862(f862(f74(a924),f38(a924,x39561,x39563)),x39562)) % 186.59/186.34 [3961]E(f38(a1,f862(f862(f3(a1),x39611),f38(a1,x39612,x39613)),x39613),f38(a1,f862(f862(f3(a1),x39611),x39612),x39613)) % 186.59/186.34 [3962]E(f38(a1,f862(f862(f74(a1),x39621),f38(a1,x39622,x39623)),x39623),f38(a1,f862(f862(f74(a1),x39621),x39622),x39623)) % 186.59/186.34 [3963]P1(f862(f862(f227(f932(x39631,a921)),x39632),f862(f862(f301(x39631),x39633),x39632))) % 186.59/186.34 [4038]E(f862(f862(f32(f932(x40381,a921),f932(x40381,a921)),x40382),f862(f103(f932(x40381,a921)),x40383)),f862(f862(f103(f932(x40381,a921)),x40383),f31(f932(x40381,a921),x40382))) % 186.59/186.34 [4039]E(f862(f862(f33(f932(x40391,a921),f932(x40391,a921)),x40392),f862(f94(f932(x40391,a921)),x40393)),f862(f862(f94(f932(x40391,a921)),x40393),f30(f932(x40391,a921),x40392))) % 186.59/186.34 [4051]E(f862(f165(x40511),f862(f862(f862(f176(f925(x40511),f925(x40511)),x40512),f160(x40511)),x40513)),f862(f165(x40511),x40513)) % 186.59/186.34 [4055]E(f862(f862(f168(x40551),f862(f182(f925(x40551)),f170(x40551,x40552,x40553))),x40553),f170(x40551,x40552,x40553)) % 186.59/186.34 [4059]E(f862(f182(f925(x40591)),f862(f862(f862(f176(f925(x40591),f925(x40591)),x40592),f160(x40591)),x40593)),f862(f182(f925(x40591)),x40593)) % 186.59/186.34 [4062]E(f862(f862(f249(x40621,x40622,x40622),f862(f18(f932(x40622,x40622),x40621),f7(x40622))),x40623),f862(f248(x40621,x40622),x40623)) % 186.59/186.34 [4068]E(f38(a1,f862(f862(f3(a1),f38(a1,x40681,x40682)),x40683),x40682),f38(a1,f862(f862(f3(a1),x40681),x40683),x40682)) % 186.59/186.34 [4069]E(f38(a1,f862(f862(f236(a1),f38(a1,x40691,x40692)),x40693),x40692),f38(a1,f862(f862(f236(a1),x40691),x40693),x40692)) % 186.59/186.34 [4072]E(f862(f862(f33(f932(f931(x40721,x40722),a921),f932(x40722,a921)),x40723),f275(x40721,x40722)),f862(f275(x40721,x40722),f30(f932(f931(x40721,x40722),a921),x40723))) % 186.59/186.34 [4073]E(f862(f862(f33(f932(f931(x40731,x40732),a921),f932(x40731,a921)),x40733),f256(x40731,x40732)),f862(f256(x40731,x40732),f30(f932(f931(x40731,x40732),a921),x40733))) % 186.59/186.34 [4096]E(f862(f66(x40961,x40961,x40961,x40962),f862(f862(f176(x40961,x40961),x40963),x40962)),f862(f862(f176(x40961,x40961),f862(a105,x40963)),x40962)) % 186.59/186.34 [4114]E(f862(f862(f131(x41141),f862(f862(f3(a924),f862(f182(f925(x41141)),x41142)),x41143)),f862(f161(x41141),x41142)),f862(f161(x41141),f862(f862(f168(x41141),x41143),x41142))) % 186.59/186.34 [4115]E(f862(f862(f168(x41151),f862(f862(f3(a924),f862(f182(f925(x41151)),x41152)),x41153)),f862(f161(x41151),x41152)),f862(f161(x41151),f862(f862(f131(x41151),x41153),x41152))) % 186.59/186.34 [4117]E(f862(f862(f73(a924),f862(f158(a924),f862(f862(f147(x41171,a924),x41172),x41173))),f862(f182(f925(x41171)),x41173)),f148(x41171,x41172,x41173)) % 186.59/186.34 [4137]E(f862(f160(x41371),f862(f862(f862(f176(f925(x41371),f925(x41371)),x41372),f160(x41371)),x41373)),f862(f862(f862(f176(f925(x41371),f925(x41371)),f862(a105,x41372)),f160(x41371)),x41373)) % 186.59/186.34 [4151]P1(f862(f862(f227(a924),f862(f182(f925(x41511)),f862(f129(x41511,x41512),x41513))),f862(f182(f925(x41511)),x41513))) % 186.59/186.34 [4167]E(f862(f862(f103(f932(f932(x41671,a921),a921)),f862(f300(x41671),x41672)),f862(f302(f932(x41671,a921),f932(x41671,a921),f862(f301(x41671),x41673)),f862(f300(x41671),x41672))),f862(f300(x41671),f862(f862(f301(x41671),x41673),x41672))) % 186.59/186.34 [4198]P1(f862(f862(f227(a924),f862(f182(f925(x41981)),f170(x41981,x41982,x41983))),f862(f182(f925(x41981)),x41983))) % 186.59/186.34 [4205]E(f862(f256(x42051,x42052),f862(f254(f931(x42051,x42052)),f862(f249(x42051,x42052,a921),x42053))),f862(f254(x42051),f862(f862(f10(f932(x42052,a921),a921,x42051),f80(x42052)),x42053))) % 186.59/186.34 [4217]E(f862(f302(a924,a924,f862(f862(f9(a924,a924,a924),f73(a924)),x42171)),f296(a924,x42172,x42173)),f296(a924,f862(f862(f73(a924),x42172),x42171),f862(f862(f73(a924),x42173),x42171))) % 186.59/186.34 [4231]E(f862(f302(a924,a924,f862(f862(f9(a924,a924,a924),f73(a924)),x42311)),f862(f295(a924,x42312),x42313)),f862(f295(a924,f862(f862(f73(a924),x42312),x42311)),f862(f862(f73(a924),x42313),x42311))) % 186.59/186.34 [4249]E(f862(f862(f174(x42491,x42492),f862(f862(f147(f931(x42491,x42492),x42491),f243(x42491,x42492)),x42493)),f862(f862(f147(f931(x42491,x42492),x42492),f248(x42491,x42492)),x42493)),x42493) % 186.59/186.34 [4254]E(f862(f862(f73(a924),f862(f862(f74(a924),x42541),f38(a924,f862(f862(f29(a924),x42542),x42541),x42543))),f38(a924,x42542,x42541)),f38(a924,x42542,f862(f862(f74(a924),x42541),x42543))) % 186.59/186.34 [4267]E(f862(f862(f127(x42671),x42672),f862(f135(f925(x42671),f925(x42671),f127(x42671),f106(x42671)),x42673)),f862(f135(f925(x42671),f925(x42671),f127(x42671),x42672),x42673)) % 186.59/186.34 [4288]P1(f862(f862(f321(f931(x42881,x42881)),f862(f862(f244(x42881,x42881),x42882),x42882)),f862(f862(f176(f931(x42881,x42881),a921),f2(a924)),x42883))) % 186.59/186.34 [4293]E(f862(f254(x42931),f862(f862(f10(f932(x42932,a921),a921,x42931),f80(x42932)),f862(f9(x42932,x42931,a921),x42933))),f862(f275(x42932,x42931),f862(f254(f931(x42932,x42931)),f862(f249(x42932,x42931,a921),x42933)))) % 186.59/186.34 [4310]E(f862(f862(f103(f932(x43101,a921)),f862(f862(f33(a924,f932(x43101,a921)),f296(a924,f71(a924),x43102)),x43103)),f862(x43103,f2(a924))),f862(f862(f33(a924,f932(x43101,a921)),f862(f294(a924),x43102)),x43103)) % 186.59/186.34 [4325]E(f862(f135(f925(x43251),f925(x43251),f127(x43251),f106(x43251)),f862(f862(f147(f925(x43251),f925(x43251)),f129(x43251,x43252)),x43253)),f862(f129(x43251,x43252),f862(f135(f925(x43251),f925(x43251),f127(x43251),f106(x43251)),x43253))) % 186.59/186.34 [4329]E(f862(f248(f925(x43291),f925(x43291)),f159(x43291,x43292,x43293)),f862(f129(x43291,f862(f66(a921,a921,x43291,a314),x43292)),x43293)) % 186.59/186.34 [4374]E(f862(f862(f73(a1),f862(f862(f73(a1),f862(f862(f74(a1),x43741),f862(f862(f29(a1),x43742),x43741))),f38(a1,x43742,x43741))),x43743),f862(f862(f73(a1),x43742),x43743)) % 186.59/186.34 [4411]E(f862(f862(f73(a1),f862(f862(f73(a1),f862(f862(f74(a1),f862(f862(f29(a1),x44111),x44112)),x44112)),f38(a1,x44111,x44112))),x44113),f862(f862(f73(a1),x44111),x44113)) % 186.59/186.34 [4438]E(f78(f931(x44381,x44382),f862(f249(x44381,x44382,a921),f862(f862(f10(f932(x44382,f931(x44381,x44382)),f932(x44382,a921),x44381),f862(f10(f931(x44381,x44382),a921,x44382),x44383)),f244(x44381,x44382)))),f78(f931(x44381,x44382),x44383)) % 186.59/186.34 [4439]E(f83(f931(x44391,x44392),f862(f249(x44391,x44392,a921),f862(f862(f10(f932(x44392,f931(x44391,x44392)),f932(x44392,a921),x44391),f862(f10(f931(x44391,x44392),a921,x44392),x44393)),f244(x44391,x44392)))),f83(f931(x44391,x44392),x44393)) % 186.59/186.34 [4466]P1(f862(f862(f227(f932(x44661,a921)),f30(f932(x44661,a921),f862(f862(f94(f932(f932(x44661,a921),a921)),x44662),x44663))),f862(f862(f94(f932(x44661,a921)),f30(f932(x44661,a921),x44662)),f30(f932(x44661,a921),x44663)))) % 186.59/186.34 [4467]E(f862(f161(x44671),f862(f862(f862(f176(f925(x44671),f925(x44671)),f862(f862(f3(a924),f862(f182(f925(x44671)),x44672)),f38(a924,x44673,f862(f182(f925(x44671)),x44672)))),f160(x44671)),x44672)),f862(f862(f862(f176(f925(x44671),f925(x44671)),x44673),f160(x44671)),f862(f161(x44671),x44672))) % 186.59/186.34 [4504]P1(f862(f862(f227(a924),f862(f182(f925(x45041)),f862(f862(f131(x45041),f862(f182(f925(x45041)),f170(x45041,x45042,x45043))),x45043))),f862(f182(f925(x45041)),x45043))) % 186.59/186.34 [4727]~P1(f862(f55(x47271,x47272,f181(f932(x47271,a921))),x47273)) % 186.59/186.34 [4734]~P1(f862(f862(f321(f931(x47341,x47341)),f862(f862(f244(x47341,x47341),x47342),x47343)),f146(x47341,f106(f932(x47341,a924))))) % 186.59/186.34 [3823]E(f862(f182(f925(x38231)),f862(f862(f168(x38231),x38232),x38233)),f862(f862(f225(a924),f862(f182(f925(x38231)),x38233)),x38232)) % 186.59/186.34 [3824]E(f862(f182(f925(x38241)),f862(f862(f131(x38241),x38242),x38243)),f862(f862(f3(a924),f862(f182(f925(x38241)),x38243)),x38242)) % 186.59/186.34 [3850]E(f862(f182(f925(f925(x38501))),f48(x38501,x38502,x38503)),f862(f862(f236(a924),f862(f182(f925(x38501)),x38503)),x38502)) % 186.59/186.34 [3867]E(f862(f862(f29(a924),f862(f862(f29(a924),x38671),x38672)),x38673),f862(f862(f29(a924),x38671),f862(f862(f74(a924),x38672),x38673))) % 186.59/186.34 [3868]E(f862(f862(f3(a924),f862(f862(f3(a924),x38681),x38682)),x38683),f862(f862(f3(a924),x38681),f862(f862(f73(a924),x38682),x38683))) % 186.59/186.34 [3869]E(f862(f862(f74(a924),f862(f862(f74(a924),x38691),x38692)),x38693),f862(f862(f74(a924),x38691),f862(f862(f74(a924),x38692),x38693))) % 186.59/186.34 [3870]E(f862(f862(f74(a1),f862(f862(f74(a1),x38701),x38702)),x38703),f862(f862(f74(a1),x38701),f862(f862(f74(a1),x38702),x38703))) % 186.59/186.34 [3871]E(f862(f862(f73(a924),f862(f862(f73(a924),x38711),x38712)),x38713),f862(f862(f73(a924),x38711),f862(f862(f73(a924),x38712),x38713))) % 186.59/186.34 [3872]E(f862(f862(f73(a1),f862(f862(f73(a1),x38721),x38722)),x38723),f862(f862(f73(a1),x38721),f862(f862(f73(a1),x38722),x38723))) % 186.59/186.34 [3873]E(f862(f862(f236(a1),f862(f862(f236(a1),x38731),x38732)),x38733),f862(f862(f236(a1),x38731),f862(f862(f74(a924),x38732),x38733))) % 186.59/186.34 [3892]E(f155(x38921,f862(f862(f144(f932(x38921,a921)),x38922),x38923)),f167(x38921,x38922,f155(x38921,x38923))) % 186.59/186.34 [3935]E(f862(f862(f3(a924),f862(f862(f3(a924),x39351),x39352)),x39353),f862(f862(f3(a924),f862(f862(f3(a924),x39351),x39353)),x39352)) % 186.59/186.34 [3943]E(f862(f862(f94(f932(x39431,a921)),x39432),f862(f862(f3(f932(x39431,a921)),x39433),x39432)),f181(f932(x39431,a921))) % 186.59/186.34 [3947]E(f862(f862(f147(a924,x39471),f862(f18(x39471,a924),x39472)),f132(a924,f862(f295(a924,f2(a924)),x39473))),f162(x39471,x39473,x39472)) % 186.59/186.34 [3985]E(f31(f932(x39851,a921),f862(f862(f301(f932(x39851,a921)),x39852),x39853)),f862(f862(f94(f932(x39851,a921)),x39852),f31(f932(x39851,a921),x39853))) % 186.59/186.34 [3986]E(f30(f932(x39861,a921),f862(f862(f301(f932(x39861,a921)),x39862),x39863)),f862(f862(f103(f932(x39861,a921)),x39862),f30(f932(x39861,a921),x39863))) % 186.59/186.34 [3988]E(f162(x39881,f862(f182(f925(x39881)),f862(f129(x39881,f862(a317,x39882)),x39883)),x39882),f862(f129(x39881,f862(a317,x39882)),x39883)) % 186.59/186.34 [3990]E(f862(f862(f3(a924),f862(f862(f74(a924),x39901),x39902)),f862(f862(f74(a924),x39903),x39902)),f862(f862(f74(a924),f862(f862(f3(a924),x39901),x39903)),x39902)) % 186.59/186.34 [3991]E(f862(f862(f73(a924),f862(f862(f74(a924),x39911),x39912)),f862(f862(f74(a924),x39913),x39912)),f862(f862(f74(a924),f862(f862(f73(a924),x39911),x39913)),x39912)) % 186.59/186.34 [3992]E(f862(f862(f3(a1),f862(f862(f74(a1),x39921),x39922)),f862(f862(f74(a1),x39923),x39922)),f862(f862(f74(a1),f862(f862(f3(a1),x39921),x39923)),x39922)) % 186.59/186.34 [3993]E(f862(f862(f73(a1),f862(f862(f74(a1),x39931),x39932)),f862(f862(f74(a1),x39933),x39932)),f862(f862(f74(a1),f862(f862(f73(a1),x39931),x39933)),x39932)) % 186.59/186.34 [3995]E(f862(f862(f225(a924),f862(f862(f3(a924),x39951),x39952)),f862(f862(f3(a924),x39953),x39952)),f862(f862(f3(a924),f862(f862(f225(a924),x39951),x39953)),x39952)) % 186.59/186.34 [4015]E(f862(f862(f94(f932(f925(x40151),a921)),f153(x40151,x40152)),f153(x40151,x40153)),f153(x40151,f862(f862(f94(f932(x40151,a921)),x40152),x40153))) % 186.59/186.34 [4018]E(f862(f862(f103(f932(x40181,a921)),x40182),f862(f862(f103(f932(x40181,a921)),x40182),x40183)),f862(f862(f103(f932(x40181,a921)),x40182),x40183)) % 186.59/186.34 [4019]E(f862(f862(f103(f932(x40191,a921)),x40192),f862(f862(f3(f932(x40191,a921)),x40193),x40192)),f862(f862(f103(f932(x40191,a921)),x40192),x40193)) % 186.59/186.34 [4020]E(f862(f862(f94(f932(x40201,a921)),x40202),f862(f862(f94(f932(x40201,a921)),x40202),x40203)),f862(f862(f94(f932(x40201,a921)),x40202),x40203)) % 186.59/186.34 [4032]E(f862(f862(f280(x40321,x40322,x40322),x40323),f299(x40322,f181(f932(f931(x40322,x40322),a921)))),x40323) % 186.59/186.34 [4035]E(f862(f862(f103(f932(x40351,a921)),f862(f862(f301(x40351),x40352),f181(f932(x40351,a921)))),x40353),f862(f862(f301(x40351),x40352),x40353)) % 186.59/186.34 [4054]E(f862(f862(f3(a924),f862(f862(f3(a924),f862(a105,x40541)),x40542)),f862(a105,x40543)),f862(f862(f3(a924),f862(f862(f3(a924),x40541),x40542)),x40543)) % 186.59/186.34 [4081]E(f862(f862(f94(f932(f932(x40811,a921),a921)),f862(f300(x40811),x40812)),f862(f300(x40811),x40813)),f862(f300(x40811),f862(f862(f94(f932(x40811,a921)),x40812),x40813))) % 186.59/186.34 [4084]E(f862(f862(f103(f932(x40841,a921)),f862(f72(f932(x40841,a921)),x40842)),x40843),f862(f72(f932(x40841,a921)),f862(f862(f3(f932(x40841,a921)),x40842),x40843))) % 186.59/186.34 [4093]E(f862(f862(f301(x40931),x40932),f862(f862(f3(f932(x40931,a921)),x40933),f862(f862(f301(x40931),x40932),f181(f932(x40931,a921))))),f862(f862(f301(x40931),x40932),x40933)) % 186.59/186.34 [4103]P1(f862(f862(f227(f932(x41031,a921)),x41032),f862(f862(f103(f932(x41031,a921)),x41033),x41032))) % 186.59/186.34 [4104]P1(f862(f862(f227(f932(x41041,a921)),x41042),f862(f862(f103(f932(x41041,a921)),x41042),x41043))) % 186.59/186.34 [4108]E(f862(f862(f94(f932(x41081,a921)),f862(f72(f932(x41081,a921)),x41082)),f862(f72(f932(x41081,a921)),x41083)),f862(f72(f932(x41081,a921)),f862(f862(f103(f932(x41081,a921)),x41082),x41083))) % 186.59/186.34 [4109]E(f862(f862(f103(f932(x41091,a921)),f862(f72(f932(x41091,a921)),x41092)),f862(f72(f932(x41091,a921)),x41093)),f862(f72(f932(x41091,a921)),f862(f862(f94(f932(x41091,a921)),x41092),x41093))) % 186.59/186.34 [4123]P1(f862(f862(f227(f932(x41231,a921)),f862(f165(x41231),x41232)),f862(f165(x41231),f862(f862(f144(x41231),x41233),x41232)))) % 186.59/186.34 [4135]E(f862(f862(f103(f932(x41351,a921)),f862(f862(f3(f932(x41351,a921)),x41352),x41353)),f862(f862(f94(f932(x41351,a921)),x41352),x41353)),x41352) % 186.59/186.34 [4185]E(f862(f862(f8(x41851,a1),f862(f862(f10(a924,a1,x41851),f93(a1)),x41852)),x41853),f862(f93(a1),f862(f862(f8(x41851,a924),x41852),x41853))) % 186.59/186.34 [4186]E(f862(f862(f11(x41861,a1),f862(f862(f10(a924,a1,x41861),f93(a1)),x41862)),x41863),f862(f93(a1),f862(f862(f11(x41861,a924),x41862),x41863))) % 186.59/186.34 [4233]E(f862(f862(f127(x42331),f170(x42331,x42332,x42333)),f862(f862(f131(x42331),f862(f182(f925(x42331)),f170(x42331,x42332,x42333))),x42333)),x42333) % 186.59/186.34 [4237]E(f862(f72(f932(f931(x42371,x42372),a921)),f862(f862(f246(x42371,x42372),x42373),f862(f18(f932(x42372,a921),x42371),f234(f932(x42372,a921))))),f862(f862(f246(x42371,x42372),f862(f72(f932(x42371,a921)),x42373)),f862(f18(f932(x42372,a921),x42371),f234(f932(x42372,a921))))) % 186.59/186.34 [4238]E(f862(f72(f932(f931(x42381,x42382),a921)),f862(f862(f246(x42381,x42382),f234(f932(x42381,a921))),f862(f18(f932(x42382,a921),x42381),x42383))),f862(f862(f246(x42381,x42382),f234(f932(x42381,a921))),f862(f18(f932(x42382,a921),x42381),f862(f72(f932(x42382,a921)),x42383)))) % 186.59/186.34 [4289]E(f862(f862(f33(f932(x42891,a921),f932(x42891,a921)),x42892),f862(f862(f9(f932(x42891,a921),f932(x42891,a921),f932(x42891,a921)),f94(f932(x42891,a921))),x42893)),f862(f862(f94(f932(x42891,a921)),f30(f932(x42891,a921),x42892)),x42893)) % 186.59/186.34 [4295]E(f862(f135(f925(x42951),f925(x42951),f127(x42951),f106(x42951)),f862(f862(f144(f925(x42951)),x42952),x42953)),f862(f862(f127(x42951),x42952),f862(f135(f925(x42951),f925(x42951),f127(x42951),f106(x42951)),x42953))) % 186.59/186.34 [4316]E(f862(f862(f301(f932(x43161,a921)),f862(f276(x43161,x43161,x43162),f862(f862(f301(x43161),x43163),f181(f932(x43161,a921))))),f181(f932(f932(x43161,a921),a921))),f862(f862(f53(x43161),f862(f862(f301(x43161),x43163),f181(f932(x43161,a921)))),x43162)) % 186.59/186.34 [4326]E(f862(f862(f73(a924),f862(f862(f74(a924),x43261),f862(f862(f29(a924),x43262),x43263))),f862(f862(f29(a924),f862(f862(f74(a924),x43261),f38(a924,x43262,x43263))),x43263)),f862(f862(f29(a924),f862(f862(f74(a924),x43261),x43262)),x43263)) % 186.59/186.34 [4327]E(f862(f862(f73(a1),f862(f862(f74(a1),x43271),f862(f862(f29(a1),x43272),x43273))),f862(f862(f29(a1),f862(f862(f74(a1),x43271),f38(a1,x43272,x43273))),x43273)),f862(f862(f29(a1),f862(f862(f74(a1),x43271),x43272)),x43273)) % 186.59/186.34 [4359]E(f862(f862(f3(f932(x43591,a921)),f862(f165(x43591),x43592)),f862(f862(f301(x43591),x43593),f181(f932(x43591,a921)))),f862(f165(x43591),f862(f129(x43591,f862(f862(f10(a921,a921,x43591),a314),f862(a317,x43593))),x43592))) % 186.59/186.34 [4409]E(f862(f862(f127(x44091),f862(f135(f925(x44091),f925(x44091),f127(x44091),f106(x44091)),x44092)),f862(f135(f925(x44091),f925(x44091),f127(x44091),f106(x44091)),x44093)),f862(f135(f925(x44091),f925(x44091),f127(x44091),f106(x44091)),f862(f862(f127(f925(x44091)),x44092),x44093))) % 186.59/186.34 [4412]E(f862(f862(f244(f925(x44121),f925(x44121)),f862(f129(x44121,x44122),x44123)),f862(f129(x44121,f862(f66(a921,a921,x44121,a314),x44122)),x44123)),f159(x44121,x44122,x44123)) % 186.59/186.34 [4415]E(f862(f862(f73(a924),f862(f862(f73(a924),f862(f862(f29(a924),x44151),x44152)),f862(f862(f29(a924),x44153),x44152))),f862(f862(f29(a924),f862(f862(f73(a924),f38(a924,x44151,x44152)),f38(a924,x44153,x44152))),x44152)),f862(f862(f29(a924),f862(f862(f73(a924),x44151),x44153)),x44152)) % 186.59/186.34 [4416]E(f862(f862(f73(a1),f862(f862(f73(a1),f862(f862(f29(a1),x44161),x44162)),f862(f862(f29(a1),x44163),x44162))),f862(f862(f29(a1),f862(f862(f73(a1),f38(a1,x44161,x44162)),f38(a1,x44163,x44162))),x44162)),f862(f862(f29(a1),f862(f862(f73(a1),x44161),x44163)),x44162)) % 186.59/186.34 [4470]E(f862(f862(f94(f932(f925(x44701),a921)),f862(f862(f9(f925(x44701),f932(f925(x44701),a921),a921),f321(f925(x44701))),f154(x44701,x44702))),f862(f862(f9(f925(x44701),f932(f925(x44701),a921),a921),f321(f925(x44701))),f154(x44701,x44703))),f153(x44701,f862(f862(f94(f932(x44701,a921)),f862(f862(f9(x44701,f932(x44701,a921),a921),f321(x44701)),x44702)),f862(f862(f9(x44701,f932(x44701,a921),a921),f321(x44701)),x44703)))) % 186.59/186.34 [4482]E(f862(f254(x44821),f862(f862(f20(x44821,a921,a921),f862(f862(f10(a921,f932(a921,a921),x44821),a319),f862(f862(f9(x44821,x44821,a921),a317),x44822))),f862(f862(f9(x44821,f932(x44821,a921),a921),f321(x44821)),x44823))),f862(f862(f301(x44821),x44822),x44823)) % 186.59/186.34 [4502]E(f862(f862(f79(f925(f925(x45021)),f925(f925(x45021))),f47(x45021,x45022)),f862(f862(f20(f925(f925(x45021)),f925(f925(x45021)),f925(f925(x45021))),f862(f862(f10(f925(f925(x45021)),f932(f925(f925(x45021)),f925(f925(x45021))),f925(f925(x45021))),f127(f925(x45021))),f862(f147(f925(x45021),f925(x45021)),f862(f144(x45021),x45023)))),f7(f925(f925(x45021))))),f47(x45021,f862(f862(f144(x45021),x45023),x45022))) % 186.59/186.34 [4505]E(f862(f254(x45051),f862(f862(f20(x45051,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45051),a319),f862(f862(f9(x45051,f932(x45051,a921),a921),f321(x45051)),x45052))),f862(f862(f9(x45051,f932(x45051,a921),a921),f321(x45051)),x45053))),f862(f862(f103(f932(x45051,a921)),x45052),x45053)) % 186.59/186.34 [4506]E(f862(f254(x45061),f862(f862(f20(x45061,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45061),a318),f862(f862(f9(x45061,f932(x45061,a921),a921),f321(x45061)),x45062))),f862(f862(f9(x45061,f932(x45061,a921),a921),f321(x45061)),x45063))),f862(f862(f94(f932(x45061,a921)),x45062),x45063)) % 186.59/186.34 [4597]E(f862(f862(f33(x45971,f932(f932(x45971,a921),a921)),x45972),f862(f862(f9(x45971,f932(f932(x45971,a921),a921),f932(f932(x45971,a921),a921)),f862(f862(f10(f932(x45971,a921),f932(f932(f932(x45971,a921),a921),f932(f932(x45971,a921),a921)),x45971),f301(f932(x45971,a921))),f862(f862(f10(f932(x45971,a921),f932(x45971,a921),x45971),f276(x45971,x45971,x45973)),f862(f862(f9(x45971,f932(x45971,a921),f932(x45971,a921)),f301(x45971)),f181(f932(x45971,a921)))))),f181(f932(f932(x45971,a921),a921)))),f862(f862(f53(x45971),x45972),x45973)) % 186.59/186.34 [4599]E(f862(f862(f194(x45991),f862(f862(f74(a1),f862(f862(f66(f931(a1,a1),a1,x45991,f243(a1,a1)),f205(x45991)),x45992)),f862(f862(f66(f931(a1,a1),a1,x45991,f243(a1,a1)),f205(x45991)),x45993))),f862(f862(f74(a1),f862(f862(f66(f931(a1,a1),a1,x45991,f248(a1,a1)),f205(x45991)),x45992)),f862(f862(f66(f931(a1,a1),a1,x45991,f248(a1,a1)),f205(x45991)),x45993))),f221(x45991,x45992,x45993)) % 186.59/186.34 [4602]E(f862(f254(f925(x46021)),f862(f862(f20(f925(x46021),a921,a921),f862(f862(f10(a921,f932(a921,a921),f925(x46021)),a318),f862(f862(f9(f925(x46021),a924,a921),f862(f862(f10(a924,f932(a924,a921),f925(x46021)),a317),f182(f925(x46021)))),x46022))),f862(f862(f9(f925(x46021),f932(x46021,a921),a921),f862(f862(f10(f932(x46021,a921),f932(f932(x46021,a921),a921),f925(x46021)),f227(f932(x46021,a921))),f165(x46021))),f862(f165(x46021),x46023)))),f862(f165(f925(x46021)),f48(x46021,x46022,x46023))) % 186.59/186.34 [4008]E(f38(a924,f862(f862(f73(a924),f862(f862(f74(a924),x40081),x40082)),x40083),x40082),f38(a924,x40083,x40082)) % 186.59/186.34 [4053]E(f132(a924,f862(f295(a924,f862(f862(f73(a924),x40531),x40532)),x40533)),f862(f862(f131(a924),x40532),f132(a924,f862(f295(a924,x40531),x40533)))) % 186.59/186.34 [4092]E(f862(f862(f73(a1),f862(f93(a1),x40921)),f862(f862(f73(a1),f862(f93(a1),x40922)),x40923)),f862(f862(f73(a1),f862(f93(a1),f862(f862(f73(a924),x40921),x40922))),x40923)) % 186.59/186.34 [4099]E(f862(f862(f103(f932(x40991,a921)),f862(f862(f3(f932(x40991,a921)),x40992),x40993)),x40993),f862(f862(f103(f932(x40991,a921)),x40992),x40993)) % 186.59/186.34 [4100]E(f862(f862(f3(f932(x41001,a921)),f862(f862(f3(f932(x41001,a921)),x41002),x41003)),x41003),f862(f862(f3(f932(x41001,a921)),x41002),x41003)) % 186.59/186.34 [4124]E(f862(f862(f280(x41241,x41241,x41242),f299(x41241,f181(f932(f931(x41241,x41241),a921)))),x41243),x41243) % 186.59/186.34 [4132]E(f862(f862(f103(f932(x41321,a921)),f862(f273(x41321),x41322)),f862(f273(x41321),x41323)),f862(f273(x41321),f862(f862(f103(f932(f931(x41321,x41321),a921)),x41322),x41323))) % 186.59/186.34 [4142]E(f258(x41421,f862(f862(f144(f931(a92,x41421)),f862(f862(f244(a92,x41421),f2(a92)),x41422)),x41423)),f258(x41421,x41423)) % 186.59/186.34 [4144]E(f862(f862(f94(f932(x41441,a921)),f31(f932(x41441,a921),x41442)),f31(f932(x41441,a921),x41443)),f31(f932(x41441,a921),f862(f862(f103(f932(f932(x41441,a921),a921)),x41442),x41443))) % 186.59/186.34 [4145]E(f862(f862(f103(f932(x41451,a921)),f30(f932(x41451,a921),x41452)),f30(f932(x41451,a921),x41453)),f30(f932(x41451,a921),f862(f862(f103(f932(f932(x41451,a921),a921)),x41452),x41453))) % 186.59/186.34 [4182]E(f862(f862(f280(x41821,x41821,x41821),f862(f862(f176(f931(x41821,x41821),a921),x41822),x41823)),x41823),f862(f862(f176(f931(x41821,x41821),a921),f862(a105,x41822)),x41823)) % 186.59/186.34 [4225]P1(f862(f862(f227(f932(x42251,a921)),f862(f862(f94(f932(x42251,a921)),x42252),x42253)),x42253)) % 186.59/186.34 [4226]P1(f862(f862(f227(f932(x42261,a921)),f862(f862(f94(f932(x42261,a921)),x42262),x42263)),x42262)) % 186.59/186.34 [4227]P1(f862(f862(f227(f932(x42271,a921)),f862(f862(f3(f932(x42271,a921)),x42272),x42273)),x42272)) % 186.59/186.34 [4251]E(f299(x42511,f862(f862(f103(f932(f931(x42511,x42511),a921)),f299(x42511,x42512)),f299(x42511,x42513))),f299(x42511,f862(f862(f103(f932(f931(x42511,x42511),a921)),x42512),x42513))) % 186.59/186.34 [4255]E(f30(f932(x42551,a921),f862(f862(f301(f932(x42551,a921)),x42552),f862(f862(f301(f932(x42551,a921)),x42553),f181(f932(f932(x42551,a921),a921))))),f862(f862(f103(f932(x42551,a921)),x42552),x42553)) % 186.59/186.34 [4256]E(f31(f932(x42561,a921),f862(f862(f301(f932(x42561,a921)),x42562),f862(f862(f301(f932(x42561,a921)),x42563),f181(f932(f932(x42561,a921),a921))))),f862(f862(f94(f932(x42561,a921)),x42562),x42563)) % 186.59/186.34 [4261]E(f862(f862(f280(x42611,x42611,x42611),f862(f862(f176(f931(x42611,x42611),a921),x42612),x42613)),x42613),f862(f862(f280(x42611,x42611,x42611),x42613),f862(f862(f176(f931(x42611,x42611),a921),x42612),x42613))) % 186.59/186.34 [4330]E(f862(f862(f103(f932(x43301,a921)),f862(f254(x43301),f862(f862(f9(x43301,x43301,a921),a317),x43302))),x43303),f862(f862(f301(x43301),x43302),x43303)) % 186.59/186.34 [4332]E(f862(a97,f862(f862(f8(x43321,a1),f862(f862(f10(a924,a1,x43321),f93(a1)),x43322)),x43323)),f862(f862(f8(x43321,a924),x43322),x43323)) % 186.59/186.34 [4333]E(f862(a97,f862(f862(f11(x43331,a1),f862(f862(f10(a924,a1,x43331),f93(a1)),x43332)),x43333)),f862(f862(f11(x43331,a924),x43332),x43333)) % 186.59/186.34 [4406]E(f862(f149(f925(x44061),x44061,f862(f164(x44061),x44062),f862(f18(f932(f925(x44061),f925(x44061)),x44061),f862(f862(f9(f925(x44061),f925(x44061),f925(x44061)),f127(x44061)),x44062))),x44063),f862(f164(x44061),f862(f862(f127(x44061),x44063),x44062))) % 186.59/186.34 [4435]P1(f862(f862(f227(f932(f932(x44351,a921),a921)),f862(f862(f103(f932(f932(x44351,a921),a921)),f862(f300(x44351),x44352)),f862(f300(x44351),x44353))),f862(f300(x44351),f862(f862(f103(f932(x44351,a921)),x44352),x44353)))) % 186.59/186.34 [4524]E(f862(f254(x45241),f862(f862(f20(x45241,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45241),a318),f862(f862(f9(x45241,f932(x45241,a921),a921),f321(x45241)),x45242))),f862(f862(f10(a921,a921,x45241),a314),f862(f862(f9(x45241,f932(x45241,a921),a921),f321(x45241)),x45243)))),f862(f862(f3(f932(x45241,a921)),x45242),x45243)) % 186.59/186.34 [4550]E(f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,a924,a921),f228(a924)),f862(f182(f925(x45501)),x45502)))),f862(f862(f10(x45501,a921,a924),x45503),f862(f157(x45501),x45502))))),f862(f182(f925(x45501)),f862(f129(x45501,x45503),x45502))) % 186.59/186.34 [4552]E(f862(f182(f925(x45521)),f169(x45521,x45522,x45523)),f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,a924,a921),f228(a924)),f862(f182(f925(x45521)),x45522)))),f862(f862(f9(a924,f932(a924,a921),a921),f321(a924)),x45523))))) % 186.59/186.34 [4648]E(f862(f862(f94(f932(f931(f925(x46481),f925(x46481)),a921)),f862(f302(f931(f931(x46481,f925(x46481)),f931(x46481,f925(x46481))),f931(f925(x46481),f925(x46481)),f250(f931(x46481,f925(x46481)),f925(x46481),f931(x46481,f925(x46481)),f925(x46481),f862(f249(x46481,f925(x46481),f925(x46481)),f144(x46481)),f862(f249(x46481,f925(x46481),f925(x46481)),f144(x46481)))),f311(x46481,f925(x46481),x46482,f862(f136(x46481,x46482),x46483)))),f862(f254(f931(f925(x46481),f925(x46481))),f862(f249(f925(x46481),f925(x46481),a921),f862(f862(f9(f925(x46481),f932(f925(x46481),a921),f932(f925(x46481),a921)),f862(f862(f10(f932(a921,a921),f932(f932(f925(x46481),a921),f932(f925(x46481),a921)),f925(x46481)),f10(a921,a921,f925(x46481))),f862(f862(f10(a921,f932(a921,a921),f925(x46481)),a318),f862(f862(f9(f925(x46481),a924,a921),f862(f862(f10(a924,f932(a924,a921),f925(x46481)),a317),f182(f925(x46481)))),f862(a105,x46483))))),f862(f862(f9(f925(x46481),a924,a921),f862(f862(f10(a924,f932(a924,a921),f925(x46481)),a317),f182(f925(x46481)))),f862(a105,x46483)))))),f862(f136(x46481,x46482),f862(a105,x46483))) % 186.59/186.34 [4146]E(f38(a924,f862(a105,f862(f862(f73(a924),f862(f862(f74(a924),x41461),x41462)),x41463)),x41462),f38(a924,f862(a105,x41463),x41462)) % 186.59/186.34 [4392]E(f862(f254(x43921),f862(f862(f20(x43921,a921,a921),f862(f862(f10(a921,f932(a921,a921),x43921),a318),x43922)),x43923)),f862(f862(f94(f932(x43921,a921)),f862(f254(x43921),x43922)),f862(f254(x43921),x43923))) % 186.59/186.34 [4393]E(f862(f254(x43931),f862(f862(f20(x43931,a921,a921),f862(f862(f10(a921,f932(a921,a921),x43931),a319),x43932)),x43933)),f862(f862(f103(f932(x43931,a921)),f862(f254(x43931),x43932)),f862(f254(x43931),x43933))) % 186.59/186.34 [4395]E(f862(f862(f127(x43951),f862(f862(f131(x43951),f38(a924,x43952,f862(f182(f925(x43951)),x43953))),x43953)),f862(f862(f168(x43951),f38(a924,x43952,f862(f182(f925(x43951)),x43953))),x43953)),f862(f862(f862(f176(f925(x43951),f925(x43951)),x43952),f160(x43951)),x43953)) % 186.59/186.34 [4401]E(f862(f254(x44011),f862(f862(f20(x44011,a921,a921),f862(f862(f10(a921,f932(a921,a921),x44011),a322),x44012)),x44013)),f862(f862(f103(f932(x44011,a921)),f862(f72(f932(x44011,a921)),f862(f254(x44011),x44012))),f862(f254(x44011),x44013))) % 186.59/186.34 [4417]E(f862(f862(f73(a924),f862(f182(f925(x44171)),f862(f129(x44171,x44172),x44173))),f862(f182(f925(x44171)),f862(f129(x44171,f862(f862(f10(a921,a921,x44171),a314),x44172)),x44173))),f862(f182(f925(x44171)),x44173)) % 186.59/186.34 [4441]P1(f862(f862(f227(f932(x44411,a921)),f862(f862(f103(f932(x44411,a921)),f31(f932(x44411,a921),x44412)),f31(f932(x44411,a921),x44413))),f31(f932(x44411,a921),f862(f862(f94(f932(f932(x44411,a921),a921)),x44412),x44413)))) % 186.59/186.34 [4455]E(f862(f165(x44551),f862(f129(x44551,f862(f862(f10(a921,a921,x44551),a314),f862(f862(f9(x44551,x44551,a921),a317),x44552))),x44553)),f862(f862(f3(f932(x44551,a921)),f862(f165(x44551),x44553)),f862(f862(f301(x44551),x44552),f181(f932(x44551,a921))))) % 186.59/186.34 [4464]P1(f862(f862(f227(f932(f931(x44641,x44641),a921)),f862(f862(f103(f932(f931(x44641,x44641),a921)),f299(x44641,x44642)),f299(x44641,x44643))),f299(x44641,f862(f862(f103(f932(f931(x44641,x44641),a921)),x44642),x44643)))) % 186.59/186.34 [4487]E(f862(f862(f74(a924),f862(a105,f862(a105,f2(a924)))),f862(f862(f8(a924,a924),f862(f862(f10(a924,a924,a924),f862(f73(a924),x44871)),f862(f862(f9(a924,a924,a924),f74(a924)),x44872))),f862(f292(a924),x44873))),f862(f862(f74(a924),x44873),f862(f862(f73(a924),x44871),f862(f862(f73(a924),x44871),f862(f862(f74(a924),f862(f862(f3(a924),x44873),f71(a924))),x44872))))) % 186.59/186.34 [4497]E(f862(f254(x44971),f862(f862(f20(x44971,a921,a921),f862(f862(f10(a921,f932(a921,a921),x44971),a318),f862(f862(f9(x44971,f932(x44971,a921),a921),f321(x44971)),f862(f165(x44971),x44972)))),x44973)),f862(f165(x44971),f862(f129(x44971,x44973),x44972))) % 186.59/186.34 [4647]E(f862(f254(x46471),f862(f862(f10(f932(a924,a921),a921,x46471),f80(a924)),f862(f862(f9(x46471,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),x46471),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),x46471),f862(f10(a921,f932(a921,a921),a924),a318)),f862(f862(f9(x46471,f932(a924,x46471),f932(a924,a921)),f862(f862(f10(f932(x46471,a921),f932(f932(a924,x46471),f932(a924,a921)),x46471),f10(x46471,a921,a924)),a317)),f862(f157(x46471),x46472))))),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,a924,a921),f228(a924)),f862(f182(f925(x46471)),x46472)))),f862(f862(f9(a924,f932(a924,a921),a921),f321(a924)),x46473))))),f862(f165(x46471),f169(x46471,x46472,x46473))) % 186.59/186.34 [4539]E(f862(f254(x45391),f862(f862(f20(x45391,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45391),a322),f862(f862(f10(a921,a921,x45391),a314),f862(f862(f9(x45391,x45391,a921),a317),x45392)))),x45393)),f862(f862(f301(x45391),x45392),f862(f254(x45391),x45393))) % 186.59/186.34 [4571]E(f862(f862(f147(f931(x45711,a924),x45711),f243(x45711,a924)),f862(f129(f931(x45711,a924),f862(f862(f9(f931(x45711,a924),f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),f931(x45711,a924)),f321(a924)),f248(x45711,a924))),x45712)),f862(f862(f174(x45711,a924),x45713),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(x45711)),x45713)))))),f169(x45711,x45713,x45712)) % 186.59/186.34 [4598]E(f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f8(a924,a1),f862(f862(f10(a1,a1,a924),f862(f73(a1),x45981)),f862(f862(f9(a924,a1,a1),f862(f862(f10(a1,f932(a1,a1),a924),f74(a1)),f93(a1))),x45982))),f862(f292(a924),x45983))),f862(f862(f74(a1),f862(f93(a1),x45983)),f862(f862(f73(a1),x45981),f862(f862(f73(a1),x45981),f862(f862(f74(a1),f862(f93(a1),f862(f862(f3(a924),x45983),f71(a924)))),x45982))))) % 186.59/186.34 [4640]E(f862(f254(f931(x46401,x46402)),f862(f249(x46401,x46402,a921),f862(f862(f9(x46401,f932(f931(x46402,x46401),a921),f932(x46402,a921)),f862(f862(f10(f932(x46402,f932(f932(f931(x46402,x46401),a921),a921)),f932(f932(f931(x46402,x46401),a921),f932(x46402,a921)),x46401),f9(x46402,f932(f931(x46402,x46401),a921),a921)),f862(f862(f10(f932(x46402,f931(x46402,x46401)),f932(x46402,f932(f932(f931(x46402,x46401),a921),a921)),x46401),f862(f10(f931(x46402,x46401),f932(f932(f931(x46402,x46401),a921),a921),x46402),f321(f931(x46402,x46401)))),f862(f9(x46402,x46401,f931(x46402,x46401)),f244(x46402,x46401))))),x46403))),f862(f277(x46402,x46401),x46403)) % 186.59/186.34 [4660]E(f862(f254(f925(x46601)),f862(f862(f10(f932(x46601,a921),a921,f925(x46601)),f80(x46601)),f862(f862(f10(f932(x46601,f932(f925(x46601),a921)),f932(x46601,a921),f925(x46601)),f862(f10(f932(f925(x46601),a921),a921,x46601),f80(f925(x46601)))),f862(f862(f9(f925(x46601),f932(x46601,f932(f925(x46601),a921)),f932(x46601,f932(f925(x46601),a921))),f862(f862(f10(f932(x46601,f932(f932(f925(x46601),a921),f932(f925(x46601),a921))),f932(f932(x46601,f932(f925(x46601),a921)),f932(x46601,f932(f925(x46601),a921))),f925(x46601)),f20(x46601,f932(f925(x46601),a921),f932(f925(x46601),a921))),f862(f862(f10(f932(x46601,f932(f925(x46601),f932(a921,a921))),f932(x46601,f932(f932(f925(x46601),a921),f932(f925(x46601),a921))),f925(x46601)),f862(f10(f932(f925(x46601),f932(a921,a921)),f932(f932(f925(x46601),a921),f932(f925(x46601),a921)),x46601),f20(f925(x46601),a921,a921))),f862(f862(f10(f932(x46601,f932(f925(x46601),a921)),f932(x46601,f932(f925(x46601),f932(a921,a921))),f925(x46601)),f862(f10(f932(f925(x46601),a921),f932(f925(x46601),f932(a921,a921)),x46601),f862(f10(a921,f932(a921,a921),f925(x46601)),a318))),f862(f862(f9(f925(x46601),f932(x46601,f932(f925(x46601),f925(x46601))),f932(x46601,f932(f925(x46601),a921))),f862(f862(f10(f932(f932(f925(x46601),f925(x46601)),f932(f925(x46601),a921)),f932(f932(x46601,f932(f925(x46601),f925(x46601))),f932(x46601,f932(f925(x46601),a921))),f925(x46601)),f10(f932(f925(x46601),f925(x46601)),f932(f925(x46601),a921),x46601)),f862(f862(f10(f932(f925(x46601),a921),f932(f932(f925(x46601),f925(x46601)),f932(f925(x46601),a921)),f925(x46601)),f10(f925(x46601),a921,f925(x46601))),a317))),f144(x46601)))))),f862(f862(f9(x46601,f932(f925(x46601),a921),f932(f925(x46601),a921)),f862(f862(f10(f932(a921,a921),f932(f932(f925(x46601),a921),f932(f925(x46601),a921)),x46601),f10(a921,a921,f925(x46601))),f862(f862(f10(a921,f932(a921,a921),x46601),a318),f862(f862(f9(x46601,f932(x46601,a921),a921),f321(x46601)),x46602)))),f862(f862(f9(f925(x46601),f932(f925(x46601),a921),a921),f321(f925(x46601))),x46603)))))),f167(x46601,x46602,x46603)) % 186.59/186.34 [4657]E(f862(f862(f79(a1,f931(a1,a1)),f862(f862(f3(a1),x46571),x46572)),f862(f862(f9(a1,f931(a1,a1),f931(a1,a1)),f862(f862(f20(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f862(f862(f10(a921,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f89(f931(a1,a1))),f862(f227(a1),f2(a1)))),f862(f244(a1,a1),f862(f862(f73(a1),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x46573)),f71(a1))))),f862(f862(f244(a1,a1),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x46573)),x46571))),f862(f36(x46572),f862(f862(f244(a1,a1),x46573),x46571))) % 186.59/186.34 [3709]E(f109(x37091,f862(x37092,x37093),f862(x37094,x37093)),f862(f196(x37091,x37092,x37094),x37093)) % 186.59/186.34 [3763]E(f862(f862(f237(x37631,x37632,x37633),x37634),f2(a924)),x37632) % 186.59/186.34 [3801]E(f178(x38011,x38012,x38013,f862(a105,x38014)),f862(x38013,x38014)) % 186.59/186.34 [3842]E(f163(x38421,x38422,f163(x38421,x38423,x38424)),f163(x38421,x38423,f163(x38421,x38422,x38424))) % 186.59/186.34 [3843]E(f119(x38431,x38432,f109(x38431,x38433,x38434)),f109(x38431,f119(x38431,x38432,x38433),x38434)) % 186.59/186.34 [3976]E(f862(f149(x39761,x39762,x39763,x39764),f106(x39762)),x39763) % 186.59/186.34 [3977]E(f862(f135(x39771,x39772,x39773,x39774),f106(x39772)),x39774) % 186.59/186.34 [4014]E(f862(f182(f929(x40141,x40142)),f213(x40141,x40142,x40143,x40144)),f2(a924)) % 186.59/186.34 [4037]E(f862(f249(x40371,x40372,x40373),f247(x40371,x40372,x40373,x40374)),x40374) % 186.59/186.34 [4080]E(f862(f862(f127(x40801),f162(x40801,x40802,x40803)),f162(x40801,x40804,x40803)),f862(f862(f127(x40801),f162(x40801,x40804,x40803)),f162(x40801,x40802,x40803))) % 186.59/186.34 [4165]E(f862(f862(f251(x41651,x41652,x41653,f931(x41652,x41653)),x41654),f244(x41652,x41653)),x41654) % 186.59/186.34 [4175]E(f120(x41751,x41752,x41753,x41754,f112(x41752)),x41753) % 186.59/186.34 [4181]E(f68(x41811,x41812,x41813,x41814,f862(x41813,x41814)),x41813) % 186.59/186.34 [4448]P40(x44481,x44482,x44483,x44484,f181(f932(x44481,a921)),x44484) % 186.59/186.34 [3515]E(f862(f862(f18(x35151,x35152),x35153),x35154),x35153) % 186.59/186.34 [3791]E(f163(x37911,x37912,f862(f129(x37911,x37913),x37914)),f862(f129(x37911,x37913),f163(x37911,x37912,x37914))) % 186.59/186.34 [3825]E(f862(f862(f57(x38251,x38252,x38253),x38254),f181(f932(x38251,a921))),x38254) % 186.59/186.34 [3849]E(f862(f862(f157(x38491),f862(f862(f144(x38491),x38492),x38493)),f862(a105,x38494)),f862(f862(f157(x38491),x38493),x38494)) % 186.59/186.34 [3916]E(f862(f862(x39161,x39162),f862(f177(x39163,x39164,x39161),x39162)),f862(f177(x39163,x39164,x39161),f862(a105,x39162))) % 186.59/186.34 [3957]E(f247(x39571,x39572,x39573,f862(f249(x39571,x39572,x39573),x39574)),x39574) % 186.59/186.34 [4012]E(f862(f862(f152(x40121,f862(f862(f144(x40121),x40122),x40123)),f2(a924)),x40124),f862(f862(f144(x40121),x40124),x40123)) % 186.59/186.34 [4022]E(f862(f862(f33(f932(x40221,a921),f932(x40222,a921)),x40223),f302(x40221,x40222,x40224)),f862(f302(x40221,x40222,x40224),f30(f932(x40221,a921),x40223))) % 186.59/186.34 [4023]E(f862(f862(f33(f932(x40231,a921),f932(x40232,a921)),x40233),f303(x40232,x40231,x40234)),f862(f303(x40232,x40231,x40234),f30(f932(x40231,a921),x40233))) % 186.59/186.34 [4048]E(f113(x40481,f123(x40482,f926(x40481),x40483,x40484)),f862(f111(x40482,x40481,x40484),x40483)) % 186.59/186.34 [4120]E(f862(f118(x41201,x41202),f119(x41201,x41203,x41204)),f862(f862(f73(a924),f862(f862(f73(a924),f862(x41202,x41203)),f862(f118(x41201,x41202),x41204))),f862(a105,f2(a924)))) % 186.59/186.34 [4141]E(f862(f135(x41411,x41412,f862(f9(x41412,x41411,x41411),x41413),x41414),f862(f161(x41412),f106(x41412))),x41414) % 186.59/186.34 [4245]E(f216(x42451,f931(x42452,f926(x42452)),x42453,f862(f249(x42452,f926(x42452),x42451),x42454),f862(f128(x42452),f112(x42452))),x42453) % 186.59/186.34 [4377]E(f862(f249(x43771,x43772,x43773),f862(f862(f10(f932(x43772,f931(x43771,x43772)),f932(x43772,x43773),x43771),f862(f10(f931(x43771,x43772),x43773,x43772),x43774)),f244(x43771,x43772))),x43774) % 186.59/186.34 [3700]E(f862(f248(x37001,x37002),f862(f862(f244(x37001,x37002),x37003),x37004)),x37004) % 186.59/186.34 [3701]E(f862(f243(x37011,x37012),f862(f862(f244(x37011,x37012),x37013),x37014)),x37013) % 186.59/186.34 [3735]E(f862(f182(f925(x37351)),f862(f862(f152(x37351,x37352),x37353),x37354)),f862(f182(f925(x37351)),x37352)) % 186.59/186.34 [3736]E(f862(f182(f925(x37361)),f862(f862(f147(x37362,x37361),x37363),x37364)),f862(f182(f925(x37362)),x37364)) % 186.59/186.34 [3757]E(f862(f862(f131(x37571),f862(a105,x37572)),f862(f862(f144(x37571),x37573),x37574)),f862(f862(f131(x37571),x37572),x37574)) % 186.59/186.34 [3820]E(f862(f862(f168(x38201),x38202),f162(x38201,x38203,x38204)),f162(x38201,f862(f862(f225(a924),x38202),x38203),x38204)) % 186.59/186.34 [3821]E(f862(f862(f131(x38211),x38212),f162(x38211,x38213,x38214)),f162(x38211,f862(f862(f3(a924),x38213),x38212),x38214)) % 186.59/186.34 [3827]E(f862(f862(f301(x38271),x38272),f862(f862(f301(x38271),x38273),x38274)),f862(f862(f301(x38271),x38273),f862(f862(f301(x38271),x38272),x38274))) % 186.59/186.34 [3831]E(f862(f862(f147(x38311,x38312),x38313),f107(x38311,x38314)),f107(x38312,f862(f862(f147(x38311,x38312),x38313),x38314))) % 186.59/186.34 [3847]E(f862(f161(x38471),f862(f862(f147(x38472,x38471),x38473),x38474)),f862(f862(f147(x38472,x38471),x38473),f862(f161(x38472),x38474))) % 186.59/186.34 [3848]E(f862(f862(f147(x38481,x38482),x38483),f862(f164(x38481),x38484)),f862(f164(x38482),f862(f862(f147(x38481,x38482),x38483),x38484))) % 186.59/186.34 [3863]E(f862(f862(f168(x38631),f862(a105,x38632)),f862(f862(f144(x38631),x38633),x38634)),f862(f862(f144(x38631),x38633),f862(f862(f168(x38631),x38632),x38634))) % 186.59/186.34 [3866]E(f862(f165(x38661),f862(f862(f147(x38662,x38661),x38663),x38664)),f862(f302(x38662,x38661,x38663),f862(f165(x38662),x38664))) % 186.59/186.34 [3879]E(f862(f862(f147(x38791,x38792),f862(f18(x38792,x38791),x38793)),x38794),f162(x38792,f862(f182(f925(x38791)),x38794),x38793)) % 186.59/186.34 [3915]E(f19(x39151,x39152,x39153,f862(a5,f862(a105,f862(a22,x39154)))),f862(x39153,x39154)) % 186.59/186.34 [3919]E(f862(f862(f127(x39191),f862(f129(x39191,x39192),x39193)),f862(f129(x39191,x39192),x39194)),f862(f129(x39191,x39192),f862(f862(f127(x39191),x39193),x39194))) % 186.59/186.34 [3931]E(f145(x39311,f862(f862(f147(x39312,x39311),x39313),f145(x39312,x39314))),f145(x39311,f862(f862(f147(x39312,x39311),x39313),x39314))) % 186.59/186.34 [3946]E(f862(f277(x39461,x39461),f862(f862(f279(x39462,x39461),x39463),x39464)),f862(f862(f279(x39462,x39461),f862(f277(x39462,x39462),x39463)),x39464)) % 186.59/186.34 [3958]E(f862(f862(f280(x39581,x39582,x39583),x39584),f181(f932(f931(x39582,x39583),a921))),f181(f932(f931(x39581,x39583),a921))) % 186.59/186.34 [3959]E(f862(f862(f168(x39591),f862(f862(f3(a924),x39592),x39593)),f862(f862(f131(x39591),x39593),x39594)),f862(f862(f131(x39591),x39593),f862(f862(f168(x39591),x39592),x39594))) % 186.59/186.34 [3978]E(f862(f862(f127(x39781),f162(x39781,x39782,x39783)),f162(x39781,x39784,x39783)),f162(x39781,f862(f862(f73(a924),x39782),x39784),x39783)) % 186.59/186.34 [3979]E(f862(f862(f862(f270(x39791),x39792),x39793),x39794),f862(f244(f932(a92,f932(a921,f928(f926(x39791)))),f931(a92,a92)),f862(f35(x39791),x39792))) % 186.59/186.34 [4005]E(f31(f932(x40051,a921),f862(f302(x40052,f932(x40051,a921),x40053),x40054)),f862(f862(f32(x40052,f932(x40051,a921)),x40054),x40053)) % 186.59/186.34 [4006]E(f30(f932(x40061,a921),f862(f302(x40062,f932(x40061,a921),x40063),x40064)),f862(f862(f33(x40062,f932(x40061,a921)),x40064),x40063)) % 186.59/186.34 [4007]E(f862(f182(f925(f931(x40071,x40072))),f862(f862(f174(x40071,x40072),x40073),x40074)),f862(f862(f225(a924),f862(f182(f925(x40071)),x40073)),f862(f182(f925(x40072)),x40074))) % 186.59/186.34 [4009]E(f862(f303(x40091,x40092,x40093),f862(f72(f932(x40092,a921)),x40094)),f862(f72(f932(x40091,a921)),f862(f303(x40091,x40092,x40093),x40094))) % 186.59/186.34 [4058]E(f862(f303(x40581,x40582,x40583),f862(f254(x40582),x40584)),f862(f254(x40581),f862(f862(f10(x40582,a921,x40581),x40584),x40583))) % 186.59/186.34 [4075]E(f862(f862(f157(x40751),f862(f862(f127(x40751),x40752),f862(f862(f144(x40751),x40753),x40754))),f862(f182(f925(x40751)),x40752)),x40753) % 186.59/186.34 [4097]E(f862(f302(x40971,x40972,x40973),f862(f303(x40971,x40972,x40973),x40974)),f862(f862(f94(f932(x40972,a921)),x40974),f862(f302(x40971,x40972,x40973),f234(f932(x40971,a921))))) % 186.59/186.34 [4116]P1(f862(f862(f321(x41161),f862(x41162,x41163)),f862(f302(x41164,x41161,x41162),f234(f932(x41164,a921))))) % 186.59/186.34 [4125]E(f21(x41251,x41252,x41253,f862(a5,f862(a105,f862(a22,x41254)))),f862(f862(x41253,x41254),f21(x41251,x41252,x41253,x41254))) % 186.59/186.34 [4129]E(f862(f862(f127(x41291),f162(x41291,x41292,x41293)),f862(f862(f144(x41291),x41293),x41294)),f862(f862(f144(x41291),x41293),f862(f862(f127(x41291),f162(x41291,x41292,x41293)),x41294))) % 186.59/186.34 [4131]E(f862(f862(f246(x41311,x41312),f862(f165(x41311),x41313)),f862(f18(f932(x41312,a921),x41311),f862(f165(x41312),x41314))),f862(f165(f931(x41311,x41312)),f52(x41311,x41312,x41313,x41314))) % 186.59/186.34 [4143]E(f148(x41431,x41432,f862(f862(f144(x41431),x41433),x41434)),f862(f862(f73(a924),f862(f862(f73(a924),f862(x41432,x41433)),f148(x41431,x41432,x41434))),f862(a105,f2(a924)))) % 186.59/186.34 [4156]E(f178(f925(x41561),f862(f862(f144(x41561),x41562),x41563),f862(f862(f9(a924,f925(x41561),f925(x41561)),f131(x41561)),x41563),x41564),f862(f862(f131(x41561),x41564),f862(f862(f144(x41561),x41562),x41563))) % 186.59/186.34 [4157]P22(x41571,f931(x41572,x41571),f556(x41573,x41574,x41572,x41571),f862(f862(f33(x41572,f932(x41571,a921)),x41574),x41573)) % 186.59/186.34 [4166]E(f862(f862(f3(f932(x41661,a921)),f862(f862(f3(f932(x41661,a921)),x41662),x41663)),f862(f862(f301(x41661),x41664),f181(f932(x41661,a921)))),f862(f862(f3(f932(x41661,a921)),x41662),f862(f862(f301(x41661),x41664),x41663))) % 186.59/186.34 [4179]E(f862(f862(f176(f932(x41791,x41792),f932(x41791,x41792)),x41793),f66(x41792,x41792,x41791,x41794)),f66(x41792,x41792,x41791,f862(f862(f176(x41792,x41792),x41793),x41794))) % 186.59/186.34 [4250]E(f862(f862(f862(f176(f925(x42501),f925(x42501)),x42502),f160(x42501)),f862(f862(f862(f176(f925(x42501),f925(x42501)),x42503),f160(x42501)),x42504)),f862(f862(f862(f176(f925(x42501),f925(x42501)),f862(f862(f73(a924),x42502),x42503)),f160(x42501)),x42504)) % 186.59/186.34 [4335]P1(f862(f862(f227(f932(x43351,a921)),f862(f165(x43351),f862(f862(f152(x43351,x43352),x43353),x43354))),f862(f862(f301(x43351),x43354),f862(f165(x43351),x43352)))) % 186.59/186.34 [4367]E(f862(f862(f33(f932(x43671,a921),f932(f931(x43671,x43672),a921)),x43673),f862(f862(f9(f932(x43671,a921),f932(x43671,f932(x43672,a921)),f932(f931(x43671,x43672),a921)),f246(x43671,x43672)),x43674)),f862(f862(f246(x43671,x43672),f30(f932(x43671,a921),x43673)),x43674)) % 186.59/186.34 [4405]E(f202(x44051,x44052,x44053,f862(f66(x44052,f932(a92,f932(a92,f932(f931(a92,a92),f932(a92,f926(x44052))))),x44051,f201(x44052)),x44054)),f203(x44051,x44052,x44054,x44053)) % 186.59/186.34 [4420]E(f198(x44201,x44202,x44203,f862(f66(x44202,f932(a92,f932(a92,f932(f931(a92,a92),f932(a92,f926(f928(x44202)))))),x44201,f197(x44202)),x44204)),f199(x44201,x44202,x44204,x44203)) % 186.59/186.34 [4425]P1(f862(f59(x44251,x44252,x44253,x44254,f181(f932(x44251,a921))),x44254)) % 186.59/186.34 [4465]E(f862(f862(f33(x44651,f932(x44652,a921)),x44653),f862(f862(f9(x44651,f932(x44652,a921),f932(x44652,a921)),f862(f862(f10(x44652,f932(f932(x44652,a921),f932(x44652,a921)),x44651),f301(x44652)),x44654)),f181(f932(x44652,a921)))),f862(f302(x44651,x44652,x44654),x44653)) % 186.59/186.34 [4472]P1(f862(f862(f227(f932(x44721,a921)),f862(f275(x44722,x44721),f862(f862(f94(f932(f931(x44722,x44721),a921)),x44723),x44724))),f862(f862(f94(f932(x44721,a921)),f862(f275(x44722,x44721),x44723)),f862(f275(x44722,x44721),x44724)))) % 186.59/186.34 [4473]P1(f862(f862(f227(f932(x44731,a921)),f862(f256(x44731,x44732),f862(f862(f94(f932(f931(x44731,x44732),a921)),x44733),x44734))),f862(f862(f94(f932(x44731,a921)),f862(f256(x44731,x44732),x44733)),f862(f256(x44731,x44732),x44734)))) % 186.59/186.34 [4535]P1(f862(f862(f227(f932(f931(x45351,x45352),a921)),f862(f302(x45352,f931(x45351,x45352),f556(x45353,x45354,x45351,x45352)),f862(f862(f33(x45351,f932(x45352,a921)),x45354),x45353))),f862(f862(f246(x45351,x45352),x45354),x45353))) % 186.59/186.34 [4536]E(f862(f111(x45361,f931(x45361,x45362),x45363),f862(f862(f10(f932(x45362,f926(f931(x45361,x45362))),f926(f931(x45361,x45362)),x45361),f111(x45362,f931(x45361,x45362),x45364)),f862(f862(f10(f932(x45362,f931(x45361,x45362)),f932(x45362,f926(f931(x45361,x45362))),x45361),f862(f10(f931(x45361,x45362),f926(f931(x45361,x45362)),x45362),f122(f931(x45361,x45362)))),f244(x45361,x45362)))),f124(x45361,x45362,x45363,x45364)) % 186.59/186.34 [4537]E(f268(x45371,x45372,x45373,f862(f66(x45372,f932(a92,f932(a92,f932(f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x45372)))),f931(a92,a92))))),x45371,f270(x45372)),x45374)),f271(x45371,x45372,x45374,x45373)) % 186.59/186.34 [4577]E(f78(f931(x45771,x45772),f862(f249(x45771,x45772,a921),f862(f862(f9(x45771,f932(x45772,a921),f932(x45772,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x45772,a921),f932(x45772,a921)),x45771),f10(a921,a921,x45772)),f862(f862(f10(a921,f932(a921,a921),x45771),a318),f862(a317,x45773)))),f862(a317,x45774)))),f862(f862(f244(x45771,x45772),x45773),x45774)) % 186.59/186.34 [4578]E(f83(f931(x45781,x45782),f862(f249(x45781,x45782,a921),f862(f862(f9(x45781,f932(x45782,a921),f932(x45782,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x45782,a921),f932(x45782,a921)),x45781),f10(a921,a921,x45782)),f862(f862(f10(a921,f932(a921,a921),x45781),a318),f862(a317,x45783)))),f862(a317,x45784)))),f862(f862(f244(x45781,x45782),x45783),x45784)) % 186.59/186.34 [4649]E(f862(f862(f249(f925(x46491),f925(x46491),f931(f925(x46491),f925(x46491))),f862(f862(f20(f925(x46491),f932(f925(x46491),f931(f925(x46491),f925(x46491))),f932(f925(x46491),f931(f925(x46491),f925(x46491)))),f862(f862(f10(f932(f925(x46491),f932(f931(f925(x46491),f925(x46491)),f931(f925(x46491),f925(x46491)))),f932(f932(f925(x46491),f931(f925(x46491),f925(x46491))),f932(f925(x46491),f931(f925(x46491),f925(x46491)))),f925(x46491)),f20(f925(x46491),f931(f925(x46491),f925(x46491)),f931(f925(x46491),f925(x46491)))),f862(f862(f10(f932(f925(x46491),f931(f925(x46491),f925(x46491))),f932(f925(x46491),f932(f931(f925(x46491),f925(x46491)),f931(f925(x46491),f925(x46491)))),f925(x46491)),f862(f10(f931(f925(x46491),f925(x46491)),f932(f931(f925(x46491),f925(x46491)),f931(f925(x46491),f925(x46491))),f925(x46491)),f862(f89(f931(f925(x46491),f925(x46491))),f862(x46492,x46493)))),f862(f862(f10(f925(x46491),f932(f925(x46491),f931(f925(x46491),f925(x46491))),f925(x46491)),f244(f925(x46491),f925(x46491))),f862(f144(x46491),x46493))))),f862(f862(f9(f925(x46491),f932(f925(x46491),f925(x46491)),f932(f925(x46491),f931(f925(x46491),f925(x46491)))),f862(f862(f10(f932(f925(x46491),f931(f925(x46491),f925(x46491))),f932(f932(f925(x46491),f925(x46491)),f932(f925(x46491),f931(f925(x46491),f925(x46491)))),f925(x46491)),f10(f925(x46491),f931(f925(x46491),f925(x46491)),f925(x46491))),f244(f925(x46491),f925(x46491)))),f862(f144(x46491),x46493)))),f159(x46491,x46492,x46494)),f159(x46491,x46492,f862(f862(f144(x46491),x46493),x46494))) % 186.59/186.34 [3895]E(f862(f862(f168(x38951),x38952),f862(f862(f168(x38951),x38953),x38954)),f862(f862(f168(x38951),f862(f862(f225(a924),x38952),x38953)),x38954)) % 186.59/186.34 [3896]E(f862(f862(f131(x38961),x38962),f862(f862(f131(x38961),x38963),x38964)),f862(f862(f131(x38961),f862(f862(f73(a924),x38962),x38963)),x38964)) % 186.59/186.34 [3907]E(f862(f862(f127(x39071),f862(f862(f144(x39071),x39072),x39073)),x39074),f862(f862(f144(x39071),x39072),f862(f862(f127(x39071),x39073),x39074))) % 186.59/186.34 [3908]E(f862(f862(f127(x39081),f862(f862(f127(x39081),x39082),x39083)),x39084),f862(f862(f127(x39081),x39082),f862(f862(f127(x39081),x39083),x39084))) % 186.59/186.34 [3989]E(f862(f862(f157(x39891),f862(f862(f144(x39891),x39892),x39893)),x39894),f178(x39891,x39892,f862(f157(x39891),x39893),x39894)) % 186.59/186.34 [3998]E(f862(f862(f176(x39981,x39981),x39982),f862(f862(f176(x39981,x39981),x39983),x39984)),f862(f862(f176(x39981,x39981),f862(f862(f74(a924),x39983),x39982)),x39984)) % 186.59/186.34 [4025]E(f862(f862(f103(f932(x40251,a921)),x40252),f862(f862(f301(x40251),x40253),x40254)),f862(f862(f301(x40251),x40253),f862(f862(f103(f932(x40251,a921)),x40252),x40254))) % 186.59/186.34 [4040]E(f862(f862(f862(f176(x40401,x40401),x40402),x40403),f862(x40403,x40404)),f862(x40403,f862(f862(f862(f176(x40401,x40401),x40402),x40403),x40404))) % 186.59/186.34 [4049]E(f862(f862(f280(x40491,x40492,x40493),f181(f932(f931(x40491,x40492),a921))),x40494),f181(f932(f931(x40491,x40493),a921))) % 186.59/186.34 [4063]E(f862(f862(f103(f932(x40631,a921)),f862(f862(f301(x40631),x40632),x40633)),x40634),f862(f862(f301(x40631),x40632),f862(f862(f103(f932(x40631,a921)),x40633),x40634))) % 186.59/186.34 [4082]E(f862(f28(f931(x40821,x40822)),f862(f862(f246(x40821,x40822),x40823),f862(f18(f932(x40822,a921),x40821),x40824))),f862(f862(f74(a924),f862(f28(x40821),x40823)),f862(f28(x40822),x40824))) % 186.59/186.34 [4088]E(f862(f862(f94(f932(x40881,a921)),f862(f862(f301(x40881),x40882),x40883)),f862(f862(f301(x40881),x40882),x40884)),f862(f862(f301(x40881),x40882),f862(f862(f94(f932(x40881,a921)),x40883),x40884))) % 186.59/186.34 [4101]E(f862(f862(f103(f932(x41011,a921)),x41012),f862(f862(f103(f932(x41011,a921)),x41013),x41014)),f862(f862(f103(f932(x41011,a921)),x41013),f862(f862(f103(f932(x41011,a921)),x41012),x41014))) % 186.59/186.34 [4102]E(f862(f862(f94(f932(x41021,a921)),x41022),f862(f862(f94(f932(x41021,a921)),x41023),x41024)),f862(f862(f94(f932(x41021,a921)),x41023),f862(f862(f94(f932(x41021,a921)),x41022),x41024))) % 186.59/186.34 [4112]E(f57(x41121,x41122,f862(f862(f10(x41122,f932(x41122,x41122),x41121),x41123),x41124)),f862(f58(x41122,x41121,x41123),x41124)) % 186.59/186.34 [4121]E(f172(x41211,f862(f862(f147(f925(x41212),f925(x41211)),f862(f147(x41212,x41211),x41213)),x41214)),f862(f862(f147(f925(x41212),f925(x41211)),f862(f147(x41212,x41211),x41213)),f172(x41212,x41214))) % 186.59/186.34 [4140]E(f862(f135(f925(x41401),f925(x41401),f127(x41401),f106(x41401)),f862(f862(f147(x41402,f925(x41401)),x41403),x41404)),f156(x41402,x41401,x41403,x41404)) % 186.59/186.34 [4197]E(f862(f66(x41971,x41971,x41971,f862(f862(f176(x41971,x41971),x41972),x41973)),f862(f862(f176(x41971,x41971),x41974),x41973)),f862(f862(f176(x41971,x41971),f862(f862(f73(a924),x41972),x41974)),x41973)) % 186.59/186.34 [4220]E(f862(f862(f94(f932(x42201,a921)),f862(f862(f103(f932(x42201,a921)),x42202),x42203)),f862(f862(f103(f932(x42201,a921)),x42202),x42204)),f862(f862(f103(f932(x42201,a921)),x42202),f862(f862(f94(f932(x42201,a921)),x42203),x42204))) % 186.59/186.34 [4221]E(f862(f862(f103(f932(x42211,a921)),f862(f862(f94(f932(x42211,a921)),x42212),x42213)),f862(f862(f94(f932(x42211,a921)),x42212),x42214)),f862(f862(f94(f932(x42211,a921)),x42212),f862(f862(f103(f932(x42211,a921)),x42213),x42214))) % 186.59/186.34 [4222]E(f862(f862(f3(f932(x42221,a921)),f862(f862(f94(f932(x42221,a921)),x42222),x42223)),f862(f862(f94(f932(x42221,a921)),x42222),x42224)),f862(f862(f94(f932(x42221,a921)),x42222),f862(f862(f3(f932(x42221,a921)),x42223),x42224))) % 186.59/186.34 [4223]E(f862(f862(f94(f932(x42231,a921)),f862(f862(f3(f932(x42231,a921)),x42232),x42233)),f862(f862(f3(f932(x42231,a921)),x42232),x42234)),f862(f862(f3(f932(x42231,a921)),x42232),f862(f862(f103(f932(x42231,a921)),x42233),x42234))) % 186.59/186.34 [4224]E(f862(f862(f103(f932(x42241,a921)),f862(f862(f3(f932(x42241,a921)),x42242),x42243)),f862(f862(f3(f932(x42241,a921)),x42242),x42244)),f862(f862(f3(f932(x42241,a921)),x42242),f862(f862(f94(f932(x42241,a921)),x42243),x42244))) % 186.59/186.34 [4229]E(f862(f28(f931(x42291,x42292)),f862(f862(f246(x42291,x42292),f862(f862(f301(x42291),x42293),f181(f932(x42291,a921)))),f862(f18(f932(x42292,a921),x42291),x42294))),f862(f28(x42292),x42294)) % 186.59/186.34 [4264]E(f862(f862(f33(x42641,f932(x42642,a921)),x42643),f862(f862(f10(f932(x42642,a921),f932(x42642,a921),x42641),f72(f932(x42642,a921))),x42644)),f862(f72(f932(x42642,a921)),f862(f862(f32(x42641,f932(x42642,a921)),x42643),x42644))) % 186.59/186.34 [4265]E(f862(f862(f32(x42651,f932(x42652,a921)),x42653),f862(f862(f10(f932(x42652,a921),f932(x42652,a921),x42651),f72(f932(x42652,a921))),x42654)),f862(f72(f932(x42652,a921)),f862(f862(f33(x42651,f932(x42652,a921)),x42653),x42654))) % 186.59/186.34 [4281]E(f862(f862(f280(x42811,x42811,x42811),f862(f862(f176(f931(x42811,x42811),a921),x42812),x42813)),f862(f862(f176(f931(x42811,x42811),a921),x42814),x42813)),f862(f862(f176(f931(x42811,x42811),a921),f862(f862(f73(a924),x42812),x42814)),x42813)) % 186.59/186.34 [4311]E(f862(f862(f32(x43111,f932(f932(x43112,a921),a921)),x43113),f862(f862(f10(f932(x43112,a921),f932(f932(x43112,a921),a921),x43111),f300(x43112)),x43114)),f862(f300(x43112),f862(f862(f32(x43111,f932(x43112,a921)),x43113),x43114))) % 186.59/186.34 [4340]E(f862(f862(f32(f932(x43401,a921),f932(x43402,a921)),x43403),f862(f862(f9(f932(x43401,a921),f932(x43401,f932(x43402,a921)),f932(x43402,a921)),f32(x43401,f932(x43402,a921))),x43404)),f862(f862(f32(x43401,f932(x43402,a921)),f30(f932(x43401,a921),x43403)),x43404)) % 186.59/186.34 [4341]E(f862(f862(f33(f932(x43411,a921),f932(x43412,a921)),x43413),f862(f862(f9(f932(x43411,a921),f932(x43411,f932(x43412,a921)),f932(x43412,a921)),f33(x43411,f932(x43412,a921))),x43414)),f862(f862(f33(x43411,f932(x43412,a921)),f30(f932(x43411,a921),x43413)),x43414)) % 186.59/186.34 [4346]E(f862(f862(f147(x43461,x43462),x43463),f862(f135(f925(x43461),f925(x43461),f127(x43461),f106(x43461)),x43464)),f862(f135(f925(x43462),f925(x43462),f127(x43462),f106(x43462)),f862(f862(f147(f925(x43461),f925(x43462)),f862(f147(x43461,x43462),x43463)),x43464))) % 186.59/186.34 [4348]E(f178(f925(x43481),f106(x43481),f862(f862(f10(f925(x43481),f925(x43481),a924),f862(f144(x43481),x43482)),f862(f862(f9(a924,f925(x43481),f925(x43481)),f168(x43481)),x43483)),x43484),f862(f862(f168(x43481),x43484),f862(f862(f144(x43481),x43482),x43483))) % 186.59/186.34 [4386]P1(f862(f862(f227(f932(x43861,a921)),f862(f302(x43862,x43861,x43863),f862(f303(x43862,x43861,x43863),x43864))),x43864)) % 186.59/186.34 [4388]E(f862(f302(f931(x43881,x43882),f931(x43882,x43881),f862(f249(x43881,x43882,f931(x43882,x43881)),f862(f9(x43882,x43881,f931(x43882,x43881)),f244(x43882,x43881)))),f862(f862(f246(x43881,x43882),x43883),f862(f18(f932(x43882,a921),x43881),x43884))),f862(f862(f246(x43882,x43881),x43884),f862(f18(f932(x43881,a921),x43882),x43883))) % 186.59/186.34 [4397]E(f862(f862(f33(x43971,f932(x43972,a921)),x43973),f862(f862(f10(f932(x43971,a921),f932(x43972,a921),x43971),f276(x43971,x43972,x43974)),f862(f862(f9(x43971,f932(x43971,a921),f932(x43971,a921)),f301(x43971)),f181(f932(x43971,a921))))),f862(f276(x43971,x43972,x43974),x43973)) % 186.59/186.34 [4398]E(f862(f862(f33(x43981,f932(x43982,a921)),x43983),f862(f862(f10(f932(x43981,a921),f932(x43982,a921),x43981),f303(x43982,x43981,x43984)),f862(f862(f9(x43981,f932(x43981,a921),f932(x43981,a921)),f301(x43981)),f181(f932(x43981,a921))))),f862(f303(x43982,x43981,x43984),x43983)) % 186.59/186.34 [4486]E(f862(f862(f103(f932(x44861,a921)),f862(f862(f103(f932(x44861,a921)),f862(f862(f94(f932(x44861,a921)),x44862),x44863)),f862(f862(f94(f932(x44861,a921)),x44863),x44864))),f862(f862(f94(f932(x44861,a921)),x44864),x44862)),f862(f862(f94(f932(x44861,a921)),f862(f862(f94(f932(x44861,a921)),f862(f862(f103(f932(x44861,a921)),x44862),x44863)),f862(f862(f103(f932(x44861,a921)),x44863),x44864))),f862(f862(f103(f932(x44861,a921)),x44864),x44862))) % 186.59/186.34 [4551]E(f862(f135(f925(x45511),f925(x45511),f127(x45511),f106(x45511)),f862(f862(f147(x45512,f925(x45511)),f862(f862(f9(x45512,f925(x45511),f925(x45511)),f862(f862(f10(x45511,f932(f925(x45511),f925(x45511)),x45512),f144(x45511)),x45513)),f106(x45511))),x45514)),f862(f862(f147(x45512,x45511),x45513),x45514)) % 186.59/186.34 [4561]E(f862(f862(f79(a1,x45611),f862(f96(a1),f862(f862(f73(a1),x45612),a90))),f862(f862(f20(a1,x45611,x45611),f862(f862(f9(a1,x45611,f932(x45611,x45611)),f862(f862(f10(a921,f932(x45611,f932(x45611,x45611)),a1),f89(x45611)),a186)),x45613)),f862(f862(f10(a924,x45611,a1),x45614),a97))),f178(x45611,x45613,x45614,f862(f96(a924),x45612))) % 186.59/186.34 [4592]E(f862(f254(x45921),f862(f862(f10(f932(x45922,a921),a921,x45921),f80(x45922)),f862(f862(f10(f932(x45922,a921),f932(x45922,a921),x45921),f862(f20(x45922,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45922),a318),f862(f862(f9(x45922,f932(x45922,a921),a921),f321(x45922)),x45923)))),f862(f9(x45922,x45921,a921),x45924)))),f862(f276(x45922,x45921,f862(f254(f931(x45922,x45921)),f862(f249(x45922,x45921,a921),x45924))),x45923)) % 186.59/186.34 [4732]~P1(f862(f862(f181(f932(x47321,f932(x47322,a921))),x47323),x47324)) % 186.59/186.34 [4052]E(f862(f862(f157(x40521),f862(f862(f127(x40521),x40522),x40523)),f862(f862(f73(a924),f862(f182(f925(x40521)),x40522)),x40524)),f862(f862(f157(x40521),x40523),x40524)) % 186.59/186.34 [4057]E(f862(f862(f131(x40571),x40572),f862(f862(f168(x40571),f862(f862(f73(a924),x40573),x40572)),x40574)),f862(f862(f168(x40571),x40573),f862(f862(f131(x40571),x40572),x40574))) % 186.59/186.34 [4154]E(f862(f862(f103(f932(x41541,a921)),f862(f275(x41542,x41541),x41543)),f862(f275(x41542,x41541),x41544)),f862(f275(x41542,x41541),f862(f862(f103(f932(f931(x41542,x41541),a921)),x41543),x41544))) % 186.59/186.34 [4155]E(f862(f862(f103(f932(x41551,a921)),f862(f256(x41551,x41552),x41553)),f862(f256(x41551,x41552),x41554)),f862(f256(x41551,x41552),f862(f862(f103(f932(f931(x41551,x41552),a921)),x41553),x41554))) % 186.59/186.34 [4160]E(f862(f862(f103(f932(x41601,a921)),f862(f862(f103(f932(x41601,a921)),x41602),x41603)),x41604),f862(f862(f103(f932(x41601,a921)),x41602),f862(f862(f103(f932(x41601,a921)),x41603),x41604))) % 186.59/186.34 [4161]E(f862(f862(f94(f932(x41611,a921)),f862(f862(f94(f932(x41611,a921)),x41612),x41613)),x41614),f862(f862(f94(f932(x41611,a921)),x41612),f862(f862(f94(f932(x41611,a921)),x41613),x41614))) % 186.59/186.34 [4162]E(f862(f862(f3(f932(x41621,a921)),f862(f862(f94(f932(x41621,a921)),x41622),x41623)),x41624),f862(f862(f94(f932(x41621,a921)),x41622),f862(f862(f3(f932(x41621,a921)),x41623),x41624))) % 186.59/186.34 [4199]E(f862(f862(f103(f932(f931(x41991,x41992),a921)),f862(f277(x41992,x41991),x41993)),f862(f277(x41992,x41991),x41994)),f862(f277(x41992,x41991),f862(f862(f103(f932(f931(x41992,x41991),a921)),x41993),x41994))) % 186.59/186.34 [4200]E(f862(f862(f94(f932(f931(x42001,x42002),a921)),f862(f277(x42002,x42001),x42003)),f862(f277(x42002,x42001),x42004)),f862(f277(x42002,x42001),f862(f862(f94(f932(f931(x42002,x42001),a921)),x42003),x42004))) % 186.59/186.34 [4213]E(f862(f862(f103(f932(x42131,f932(x42132,a921))),f235(x42132,x42131,x42133)),f235(x42132,x42131,x42134)),f235(x42132,x42131,f862(f862(f103(f932(x42132,f932(x42131,a921))),x42133),x42134))) % 186.59/186.34 [4214]E(f862(f862(f94(f932(x42141,f932(x42142,a921))),f235(x42142,x42141,x42143)),f235(x42142,x42141,x42144)),f235(x42142,x42141,f862(f862(f94(f932(x42142,f932(x42141,a921))),x42143),x42144))) % 186.59/186.34 [4268]E(f862(f862(f94(f932(x42681,a921)),f862(f862(f103(f932(x42681,a921)),x42682),x42683)),f862(f862(f103(f932(x42681,a921)),x42684),x42683)),f862(f862(f103(f932(x42681,a921)),f862(f862(f94(f932(x42681,a921)),x42682),x42684)),x42683)) % 186.59/186.34 [4269]E(f862(f862(f103(f932(x42691,a921)),f862(f862(f94(f932(x42691,a921)),x42692),x42693)),f862(f862(f94(f932(x42691,a921)),x42694),x42693)),f862(f862(f94(f932(x42691,a921)),f862(f862(f103(f932(x42691,a921)),x42692),x42694)),x42693)) % 186.59/186.34 [4270]E(f862(f862(f3(f932(x42701,a921)),f862(f862(f94(f932(x42701,a921)),x42702),x42703)),f862(f862(f94(f932(x42701,a921)),x42704),x42703)),f862(f862(f94(f932(x42701,a921)),f862(f862(f3(f932(x42701,a921)),x42702),x42704)),x42703)) % 186.59/186.34 [4271]E(f862(f862(f103(f932(x42711,a921)),f862(f862(f3(f932(x42711,a921)),x42712),x42713)),f862(f862(f3(f932(x42711,a921)),x42714),x42713)),f862(f862(f3(f932(x42711,a921)),f862(f862(f103(f932(x42711,a921)),x42712),x42714)),x42713)) % 186.59/186.34 [4272]E(f862(f862(f3(f932(x42721,a921)),f862(f862(f94(f932(x42721,a921)),x42722),x42723)),f862(f862(f94(f932(x42721,a921)),x42724),x42723)),f862(f862(f3(f932(x42721,a921)),f862(f862(f94(f932(x42721,a921)),x42722),x42723)),x42724)) % 186.59/186.34 [4284]E(f862(f862(f3(f932(x42841,a921)),f862(f862(f3(f932(x42841,a921)),x42842),f862(f862(f301(x42841),x42843),f181(f932(x42841,a921))))),x42844),f862(f862(f3(f932(x42841,a921)),x42842),f862(f862(f301(x42841),x42843),x42844))) % 186.59/186.34 [4337]E(f862(f862(f103(f932(x43371,a921)),f862(f862(f301(x43371),x43372),f862(f862(f301(x43371),x43373),f181(f932(x43371,a921))))),f862(f273(x43371),x43374)),f862(f273(x43371),f862(f862(f301(f931(x43371,x43371)),f862(f862(f244(x43371,x43371),x43372),x43373)),x43374))) % 186.59/186.34 [4362]E(f862(f862(f33(a924,f932(x43621,a921)),f862(f294(a924),x43622)),f862(f862(f10(a924,f932(x43621,a921),a924),x43623),f862(f862(f9(a924,a924,a924),f73(a924)),x43624))),f862(f862(f33(a924,f932(x43621,a921)),f296(a924,x43624,f862(f862(f73(a924),x43622),x43624))),x43623)) % 186.59/186.34 [4363]E(f167(x43631,f862(f276(x43631,x43631,x43632),f862(f862(f301(x43631),x43633),f181(f932(x43631,a921)))),f862(f276(f925(x43631),f925(x43631),f151(x43631,x43632)),f862(f862(f301(f925(x43631)),x43634),f181(f932(f925(x43631),a921))))),f862(f276(f925(x43631),f925(x43631),f151(x43631,x43632)),f862(f862(f301(f925(x43631)),f862(f862(f144(x43631),x43633),x43634)),f181(f932(f925(x43631),a921))))) % 186.59/186.34 [4427]E(f862(f254(x44271),f862(f862(f9(x44271,f932(x44272,a921),a921),f862(f862(f10(x44272,f932(f932(x44272,a921),a921),x44271),f321(x44272)),x44273)),x44274)),f862(f303(x44271,x44272,x44273),x44274)) % 186.59/186.34 [4518]E(f862(f254(x45181),f862(f862(f9(x45181,f932(f931(x45182,x45181),a921),a921),f862(f862(f10(f931(x45182,x45181),f932(f932(f931(x45182,x45181),a921),a921),x45181),f321(f931(x45182,x45181))),f862(f244(x45182,x45181),x45183))),x45184)),f862(f276(x45182,x45181,x45184),f862(f862(f301(x45182),x45183),f181(f932(x45182,a921))))) % 186.59/186.34 [4534]E(f862(f862(f147(f931(x45341,a924),x45341),f243(x45341,a924)),f862(f129(f931(x45341,a924),f862(f862(f10(a924,a921,f931(x45341,a924)),x45342),f862(f862(f10(a924,a924,f931(x45341,a924)),a105),f248(x45341,a924)))),f862(f862(f174(x45341,a924),x45343),x45344))),f862(f862(f147(f931(x45341,a924),x45341),f243(x45341,a924)),f862(f129(f931(x45341,a924),f862(f862(f10(a924,a921,f931(x45341,a924)),x45342),f248(x45341,a924))),f862(f862(f174(x45341,a924),x45343),f862(f862(f147(a924,a924),a105),x45344))))) % 186.59/186.34 [4543]P1(f862(f862(f227(f932(f932(x45431,a921),a921)),f862(f862(f33(x45432,f932(f932(x45431,a921),a921)),x45433),f862(f862(f10(f932(x45431,a921),f932(f932(x45431,a921),a921),x45432),f300(x45431)),x45434))),f862(f300(x45431),f862(f862(f33(x45432,f932(x45431,a921)),x45433),x45434)))) % 186.59/186.34 [4584]E(f862(f862(f79(a1,x45841),f862(f96(a1),f862(f862(f73(a1),x45842),a90))),f862(f862(f20(a1,x45841,x45841),f862(f862(f9(a1,x45841,f932(x45841,x45841)),f862(f862(f10(a921,f932(x45841,f932(x45841,x45841)),a1),f89(x45841)),a186)),x45843)),f862(f862(f20(a1,x45841,x45841),f862(f862(f10(a924,f932(x45841,x45841),a1),x45844),a97)),f862(f862(f10(a924,x45841,a1),f177(x45841,x45843,x45844)),a97)))),f862(f177(x45841,x45843,x45844),f862(f96(a924),x45842))) % 186.59/186.34 [4608]E(f862(f254(f931(x46081,x46082)),f862(f249(x46081,x46082,a921),f862(f862(f9(x46081,f932(x46082,a921),f932(x46082,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x46082,a921),f932(x46082,a921)),x46081),f10(a921,a921,x46082)),f862(f862(f10(a921,f932(a921,a921),x46081),a318),f862(f862(f9(x46081,f932(x46081,a921),a921),f321(x46081)),x46083)))),f862(f862(f9(x46082,f932(x46082,a921),a921),f321(x46082)),x46084)))),f222(x46081,x46082,x46083,x46084)) % 186.59/186.34 [4644]E(f862(f862(f33(x46441,f932(f931(x46441,x46442),a921)),x46443),f862(f862(f20(x46441,f932(x46442,f932(f931(x46441,x46442),a921)),f932(f931(x46441,x46442),a921)),f862(f862(f10(f932(x46442,a921),f932(f932(x46442,f932(f931(x46441,x46442),a921)),f932(f931(x46441,x46442),a921)),x46441),f33(x46442,f932(f931(x46441,x46442),a921))),x46444)),f862(f862(f9(x46441,f932(f931(x46441,x46442),a921),f932(x46442,f932(f931(x46441,x46442),a921))),f862(f862(f10(f932(x46442,f932(f932(f931(x46441,x46442),a921),f932(f931(x46441,x46442),a921))),f932(f932(f931(x46441,x46442),a921),f932(x46442,f932(f931(x46441,x46442),a921))),x46441),f9(x46442,f932(f931(x46441,x46442),a921),f932(f931(x46441,x46442),a921))),f862(f862(f10(f932(x46442,f931(x46441,x46442)),f932(x46442,f932(f932(f931(x46441,x46442),a921),f932(f931(x46441,x46442),a921))),x46441),f862(f10(f931(x46441,x46442),f932(f932(f931(x46441,x46442),a921),f932(f931(x46441,x46442),a921)),x46442),f301(f931(x46441,x46442)))),f244(x46441,x46442)))),f181(f932(f931(x46441,x46442),a921))))),f862(f862(f246(x46441,x46442),x46443),x46444)) % 186.59/186.34 [4208]E(f862(f862(f127(x42081),f862(f862(f168(x42081),x42082),x42083)),f862(f862(f168(x42081),f862(f862(f3(a924),x42082),f862(f182(f925(x42081)),x42083))),x42084)),f862(f862(f168(x42081),x42082),f862(f862(f127(x42081),x42083),x42084))) % 186.59/186.34 [4209]E(f862(f862(f127(x42091),f862(f862(f131(x42091),x42092),x42093)),f862(f862(f131(x42091),f862(f862(f3(a924),x42092),f862(f182(f925(x42091)),x42093))),x42094)),f862(f862(f131(x42091),x42092),f862(f862(f127(x42091),x42093),x42094))) % 186.59/186.34 [4258]E(f862(f862(f73(a924),f862(f862(f74(a924),x42581),x42582)),f862(f862(f73(a924),f862(f862(f74(a924),x42583),x42582)),x42584)),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f73(a924),x42581),x42583)),x42582)),x42584)) % 186.59/186.34 [4403]E(f83(x44031,f862(f862(f9(x44031,x44032,a921),f862(f862(f10(x44032,f932(x44032,a921),x44031),a317),x44033)),x44034)),f862(f86(x44031,x44032,f234(f932(x44031,a921)),x44033),x44034)) % 186.59/186.34 [4452]P1(f862(f862(f227(f932(x44521,a921)),f862(f862(f3(f932(x44521,a921)),f862(f275(x44522,x44521),x44523)),f862(f275(x44522,x44521),x44524))),f862(f275(x44522,x44521),f862(f862(f3(f932(f931(x44522,x44521),a921)),x44523),x44524)))) % 186.59/186.34 [4453]P1(f862(f862(f227(f932(x44531,a921)),f862(f862(f3(f932(x44531,a921)),f862(f256(x44531,x44532),x44533)),f862(f256(x44531,x44532),x44534))),f862(f256(x44531,x44532),f862(f862(f3(f932(f931(x44531,x44532),a921)),x44533),x44534)))) % 186.59/186.34 [4563]E(f862(f862(f73(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x45631),x45632)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x45633),x45634)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),f862(f862(f73(a924),x45631),x45633)),f862(f862(f73(a924),x45632),x45634))),f181(f932(f931(a924,a924),a921)))))) % 186.59/186.34 [4603]E(f862(f862(f74(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x46031),x46032)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x46033),x46034)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),f862(f862(f73(a924),f862(f862(f74(a924),x46031),x46033)),f862(f862(f74(a924),x46032),x46034))),f862(f862(f73(a924),f862(f862(f74(a924),x46031),x46034)),f862(f862(f74(a924),x46032),x46033)))),f181(f932(f931(a924,a924),a921)))))) % 186.59/186.34 [4624]E(f862(f254(x46241),f862(f862(f10(f932(x46242,a921),a921,x46241),f81(x46242)),f862(f862(f10(f932(x46242,a921),f932(x46242,a921),x46241),f862(f20(x46242,a921,a921),f862(f862(f10(a921,f932(a921,a921),x46242),a322),f862(f862(f9(x46242,f932(x46242,a921),a921),f321(x46242)),x46243)))),f862(f862(f9(x46241,f932(x46242,f932(x46241,a921)),f932(x46242,a921)),f862(f862(f10(f932(f932(x46241,a921),a921),f932(f932(x46242,f932(x46241,a921)),f932(x46242,a921)),x46241),f10(f932(x46241,a921),a921,x46242)),f321(x46241))),x46244)))),f862(f862(f32(x46242,f932(x46241,a921)),x46243),x46244)) % 186.59/186.34 [4656]E(f862(f862(f280(x46561,x46561,x46561),f862(f862(f301(f931(x46561,x46561)),f862(f862(f244(x46561,x46561),x46562),x46563)),x46564)),f299(x46561,f862(f862(f301(f931(x46561,x46561)),f862(f862(f244(x46561,x46561),x46562),x46563)),x46564))),f862(f862(f103(f932(f931(x46561,x46561),a921)),f862(f862(f280(x46561,x46561,x46561),x46564),f299(x46561,x46564))),f862(f254(f931(x46561,x46561)),f862(f249(x46561,x46561,a921),f862(f862(f9(x46561,f932(x46561,a921),f932(x46561,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x46561,a921),f932(x46561,a921)),x46561),f10(a921,a921,x46561)),f862(f862(f10(a921,f932(a921,a921),x46561),a318),f862(f862(f9(x46561,f932(f931(x46561,x46561),a921),a921),f862(f862(f10(f931(x46561,x46561),f932(f932(f931(x46561,x46561),a921),a921),x46561),f321(f931(x46561,x46561))),f862(f862(f9(x46561,x46561,f931(x46561,x46561)),f244(x46561,x46561)),x46562))),f299(x46561,x46564))))),f862(f862(f9(x46561,f932(f931(x46561,x46561),a921),a921),f862(f862(f10(f931(x46561,x46561),f932(f932(f931(x46561,x46561),a921),a921),x46561),f321(f931(x46561,x46561))),f862(f244(x46561,x46561),x46563))),f299(x46561,x46564))))))) % 186.59/186.34 [4454]E(f862(f129(x44541,f862(f862(f20(x44541,a921,a921),f862(f862(f10(a921,f932(a921,a921),x44541),a318),x44542)),x44543)),x44544),f862(f129(x44541,x44543),f862(f129(x44541,x44542),x44544))) % 186.59/186.34 [4557]E(f862(f862(f127(x45571),f862(f862(f862(f89(f925(x45571)),f862(f862(f321(a924),f2(a924)),x45572)),f862(f862(f144(x45571),x45573),f106(x45571))),f106(x45571))),f169(x45571,x45574,f862(f254(a924),f862(f862(f9(a924,f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),a924),f321(a924)),a105)),x45572)))),f169(x45571,f862(f862(f144(x45571),x45573),x45574),x45572)) % 186.59/186.34 [4652]E(f862(f254(f931(x46521,x46522)),f862(f862(f10(f932(a924,a921),a921,f931(x46521,x46522)),f80(a924)),f862(f862(f9(f931(x46521,x46522),f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),f931(x46521,x46522)),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),f931(x46521,x46522)),f862(f10(a921,f932(a921,a921),a924),a318)),f862(f862(f9(f931(x46521,x46522),f932(a924,f931(x46521,x46522)),f932(a924,a921)),f862(f862(f10(f932(f931(x46521,x46522),a921),f932(f932(a924,f931(x46521,x46522)),f932(a924,a921)),f931(x46521,x46522)),f10(f931(x46521,x46522),a921,a924)),a317)),f862(f862(f20(a924,x46522,f931(x46521,x46522)),f862(f862(f10(x46521,f932(x46522,f931(x46521,x46522)),a924),f244(x46521,x46522)),f862(f157(x46521),x46523))),f862(f157(x46522),x46524)))))),f862(f862(f9(a924,a924,a921),f228(a924)),f862(f862(f225(a924),f862(f182(f925(x46521)),x46523)),f862(f182(f925(x46522)),x46524)))))),f862(f165(f931(x46521,x46522)),f862(f862(f174(x46521,x46522),x46523),x46524))) % 186.59/186.34 [4576]E(f862(f254(f931(x45761,x45762)),f862(f249(x45761,x45762,a921),f862(f862(f9(x45761,f932(x45762,a921),f932(x45762,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x45762,a921),f932(x45762,a921)),x45761),f10(a921,a921,x45762)),f862(f862(f10(a921,f932(a921,a921),x45761),a318),x45763))),x45764))),f862(f862(f246(x45761,x45762),f862(f254(x45761),x45763)),f862(f18(f932(x45762,a921),x45761),f862(f254(x45762),x45764)))) % 186.59/186.34 [4579]E(f862(f254(f931(x45791,x45792)),f862(f249(x45791,x45792,a921),f862(f862(f20(x45791,f932(x45792,a921),f932(x45792,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x45792,a921),f932(x45792,a921)),x45791),f10(a921,a921,x45792)),f862(f862(f10(a921,f932(a921,a921),x45791),a318),x45793))),x45794))),f862(f862(f246(x45791,x45792),f862(f254(x45791),x45793)),f862(f862(f10(f932(x45792,a921),f932(x45792,a921),x45791),f254(x45792)),x45794))) % 186.59/186.34 [4591]E(f862(f254(x45911),f862(f862(f10(f932(x45912,a921),a921,x45911),f81(x45912)),f862(f862(f10(f932(x45912,a921),f932(x45912,a921),x45911),f862(f20(x45912,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45912),a322),f862(f862(f9(x45912,f932(x45912,a921),a921),f321(x45912)),x45913)))),x45914))),f862(f862(f32(x45912,f932(x45911,a921)),x45913),f862(f862(f10(f932(x45911,a921),f932(x45911,a921),x45912),f254(x45911)),f862(f9(x45911,x45912,a921),x45914)))) % 186.59/186.34 [4636]E(f862(f862(f147(f931(x46361,a924),x46361),f243(x46361,a924)),f862(f129(f931(x46361,a924),f862(f862(f9(f931(x46361,a924),f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),f931(x46361,a924)),f321(a924)),f248(x46361,a924))),x46362)),f862(f862(f174(x46361,a924),x46363),f132(a924,f862(f295(a924,x46364),f862(f862(f73(a924),x46364),f862(f182(f925(x46361)),x46363))))))),f862(f862(f147(f931(x46361,a924),x46361),f243(x46361,a924)),f862(f129(f931(x46361,a924),f862(f862(f9(f931(x46361,a924),f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),f931(x46361,a924)),f321(a924)),f862(f862(f9(f931(x46361,a924),a924,a924),f862(f862(f10(a924,f932(a924,a924),f931(x46361,a924)),f73(a924)),f248(x46361,a924))),x46364))),x46362)),f862(f862(f174(x46361,a924),x46363),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(x46361)),x46363))))))) % 186.59/186.34 [4637]E(f862(a105,f862(f862(f226(a924),f862(f182(f925(x46371)),x46372)),f862(f135(a924,f925(x46373),f862(f9(f925(x46373),a924,a924),f862(f862(f10(a924,f932(a924,a924),f925(x46373)),f226(a924)),f862(f862(f9(f925(x46373),a924,a924),f862(f862(f10(a924,f932(a924,a924),f925(x46373)),f3(a924)),f182(f925(x46373)))),f862(a105,f2(a924))))),f2(a924)),f862(f161(f925(x46373)),f862(f129(f925(x46373),f862(f862(f10(a921,a921,f925(x46373)),a314),f862(f862(f9(f925(x46373),f925(x46373),a921),a317),f106(x46373)))),x46374))))),f862(f862(f226(a924),f862(a105,f862(f182(f925(x46371)),x46372))),f862(f135(a924,f925(x46373),f862(f9(f925(x46373),a924,a924),f862(f862(f10(a924,f932(a924,a924),f925(x46373)),f226(a924)),f182(f925(x46373)))),f2(a924)),f862(f161(f925(x46373)),x46374)))) % 186.59/186.34 [4590]E(f862(f862(f127(x45901),f169(x45901,x45902,x45903)),f169(x45901,x45904,f862(f254(a924),f862(f862(f9(a924,f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),a924),f321(a924)),f862(f862(f9(a924,a924,a924),f73(a924)),f862(f182(f925(x45901)),x45902)))),x45903)))),f169(x45901,f862(f862(f127(x45901),x45902),x45904),x45903)) % 186.59/186.34 [4638]E(f31(f932(x46381,a921),f862(f254(f932(x46381,a921)),f862(f862(f10(f932(x46382,a921),a921,f932(x46381,a921)),f80(x46382)),f862(f862(f10(f932(x46382,a921),f932(x46382,a921),f932(x46381,a921)),f862(f20(x46382,a921,a921),f862(f862(f10(a921,f932(a921,a921),x46382),a318),f862(f862(f9(x46382,f932(x46382,a921),a921),f321(x46382)),x46383)))),f862(f862(f9(f932(x46381,a921),f932(x46382,f932(x46381,a921)),f932(x46382,a921)),f862(f862(f10(f932(f932(x46381,a921),a921),f932(f932(x46382,f932(x46381,a921)),f932(x46382,a921)),f932(x46381,a921)),f10(f932(x46381,a921),a921,x46382)),a317)),x46384))))),f862(f862(f32(x46382,f932(x46381,a921)),x46383),x46384)) % 186.59/186.34 [4639]E(f30(f932(x46391,a921),f862(f254(f932(x46391,a921)),f862(f862(f10(f932(x46392,a921),a921,f932(x46391,a921)),f80(x46392)),f862(f862(f10(f932(x46392,a921),f932(x46392,a921),f932(x46391,a921)),f862(f20(x46392,a921,a921),f862(f862(f10(a921,f932(a921,a921),x46392),a318),f862(f862(f9(x46392,f932(x46392,a921),a921),f321(x46392)),x46393)))),f862(f862(f9(f932(x46391,a921),f932(x46392,f932(x46391,a921)),f932(x46392,a921)),f862(f862(f10(f932(f932(x46391,a921),a921),f932(f932(x46392,f932(x46391,a921)),f932(x46392,a921)),f932(x46391,a921)),f10(f932(x46391,a921),a921,x46392)),a317)),x46394))))),f862(f862(f33(x46392,f932(x46391,a921)),x46393),x46394)) % 186.59/186.34 [4646]E(f862(f862(f144(f925(x46461)),f862(f862(f144(x46461),x46462),f862(f135(f925(x46461),f925(x46461),f127(x46461),f106(x46461)),f862(f862(f147(f925(x46461),f925(x46461)),f149(f925(x46461),x46461,f106(x46461),f862(f862(f10(f925(x46461),f932(f925(x46461),f925(x46461)),x46461),f18(f925(x46461),f925(x46461))),f862(f862(f9(x46461,f925(x46461),f925(x46461)),f144(x46461)),f106(x46461))))),x46463)))),f172(x46461,f862(f862(f144(f925(x46461)),x46464),f862(f135(f925(f925(x46461)),f925(f925(x46461)),f127(f925(x46461)),f106(f925(x46461))),f862(f862(f147(f925(x46461),f925(f925(x46461))),f149(f925(f925(x46461)),x46461,f106(f925(x46461)),f862(f18(f932(f925(x46461),f925(f925(x46461))),x46461),f862(f862(f9(f925(x46461),f925(f925(x46461)),f925(f925(x46461))),f144(f925(x46461))),f106(f925(x46461)))))),x46463))))),f172(x46461,f862(f862(f144(f925(x46461)),f862(f862(f144(x46461),x46462),x46464)),x46463))) % 186.59/186.34 [4653]E(f862(f254(f931(x46531,x46531)),f862(f249(x46531,x46531,a921),f862(f862(f9(x46531,f932(f931(x46532,x46532),a921),f932(x46531,a921)),f862(f862(f10(f932(x46531,f932(f932(f931(x46532,x46532),a921),a921)),f932(f932(f931(x46532,x46532),a921),f932(x46531,a921)),x46531),f9(x46531,f932(f931(x46532,x46532),a921),a921)),f862(f862(f10(f932(x46531,f931(x46532,x46532)),f932(x46531,f932(f932(f931(x46532,x46532),a921),a921)),x46531),f862(f10(f931(x46532,x46532),f932(f932(f931(x46532,x46532),a921),a921),x46531),f321(f931(x46532,x46532)))),f862(f862(f9(x46531,f932(x46531,x46532),f932(x46531,f931(x46532,x46532))),f862(f862(f10(f932(x46532,f931(x46532,x46532)),f932(f932(x46531,x46532),f932(x46531,f931(x46532,x46532))),x46531),f10(x46532,f931(x46532,x46532),x46531)),f862(f862(f10(x46532,f932(x46532,f931(x46532,x46532)),x46531),f244(x46532,x46532)),x46533))),x46533)))),x46534))),f862(f862(f279(x46532,x46531),x46534),x46533)) % 186.59/186.34 [3792]E(f862(f862(f147(x37921,x37922),x37923),f162(x37921,x37924,x37925)),f162(x37922,x37924,f862(x37923,x37925))) % 186.59/186.34 [4122]E(f123(x41221,x41222,x41223,f119(x41221,x41224,x41225)),f119(x41222,f862(x41223,x41224),f123(x41221,x41222,x41223,x41225))) % 186.59/186.34 [4352]E(f862(f68(x43521,x43522,x43523,x43524,x43525),x43524),x43525) % 186.59/186.34 [4404]E(f245(x44041,x44042,x44043,f235(x44042,x44041,x44044),f235(x44043,x44042,x44045)),f235(x44043,x44041,f245(x44043,x44042,x44041,x44045,x44044))) % 186.59/186.34 [3983]E(f862(f862(f249(x39831,x39832,x39833),x39834),x39835),f862(f862(x39834,f862(f243(x39831,x39832),x39835)),f862(f248(x39831,x39832),x39835))) % 186.59/186.34 [4017]E(f862(f862(f862(f58(x40171,x40172,x40173),x40174),x40175),f181(f932(x40172,a921))),x40175) % 186.59/186.34 [4292]E(f862(f66(f925(x42921),f925(x42922),f925(x42923),f862(f147(x42921,x42922),x42924)),f862(f147(x42923,x42921),x42925)),f862(f147(x42923,x42922),f862(f66(x42921,x42922,x42923,x42924),x42925))) % 186.59/186.34 [4366]E(f78(x43661,f59(x43662,x43661,x43663,x43664,x43665)),f862(f862(f57(x43662,x43661,x43663),x43664),x43665)) % 186.59/186.34 [4400]E(f862(f862(f73(a924),f862(f862(f73(a924),f862(x44001,f862(f243(x44002,x44003),x44004))),f862(x44005,f862(f248(x44002,x44003),x44004)))),f862(a105,f2(a924))),f253(x44002,x44003,x44001,x44005,x44004)) % 186.59/186.34 [3920]E(f862(f862(f168(x39201),x39202),f862(f862(f147(x39203,x39201),x39204),x39205)),f862(f862(f147(x39203,x39201),x39204),f862(f862(f168(x39203),x39202),x39205))) % 186.59/186.34 [3921]E(f862(f862(f131(x39211),x39212),f862(f862(f147(x39213,x39211),x39214),x39215)),f862(f862(f147(x39213,x39211),x39214),f862(f862(f131(x39213),x39212),x39215))) % 186.59/186.34 [3952]E(f862(f862(f147(x39521,x39522),x39523),f862(f862(f144(x39521),x39524),x39525)),f862(f862(f144(x39522),f862(x39523,x39524)),f862(f862(f147(x39521,x39522),x39523),x39525))) % 186.59/186.34 [4013]E(f862(f302(x40131,x40132,x40133),f862(f862(f301(x40131),x40134),x40135)),f862(f862(f301(x40132),f862(x40133,x40134)),f862(f302(x40131,x40132,x40133),x40135))) % 186.59/186.34 [4041]E(f166(x40411,f862(f862(f144(x40411),x40412),x40413),f862(f862(f144(x40411),x40414),x40415)),f862(f862(f144(x40411),x40412),f862(f862(f144(x40411),x40414),f166(x40411,x40413,x40415)))) % 186.59/186.34 [4077]E(f862(f862(f174(x40771,x40772),f862(f862(f168(x40771),x40773),x40774)),f862(f862(f168(x40772),x40773),x40775)),f862(f862(f168(f931(x40771,x40772)),x40773),f862(f862(f174(x40771,x40772),x40774),x40775))) % 186.59/186.34 [4078]E(f862(f862(f174(x40781,x40782),f862(f862(f131(x40781),x40783),x40784)),f862(f862(f131(x40782),x40783),x40785)),f862(f862(f131(f931(x40781,x40782)),x40783),f862(f862(f174(x40781,x40782),x40784),x40785))) % 186.59/186.34 [4087]E(f862(f862(f152(x40871,f862(f862(f144(x40871),x40872),x40873)),f862(a105,x40874)),x40875),f862(f862(f144(x40871),x40872),f862(f862(f152(x40871,x40873),x40874),x40875))) % 186.59/186.34 [4090]E(f862(f862(f127(x40901),f862(f862(f147(x40902,x40901),x40903),x40904)),f862(f862(f147(x40902,x40901),x40903),x40905)),f862(f862(f147(x40902,x40901),x40903),f862(f862(f127(x40902),x40904),x40905))) % 186.59/186.34 [4094]E(f862(f862(x40941,x40942),f862(f862(f237(x40943,x40944,x40941),x40942),x40945)),f862(f862(f237(x40943,x40944,x40941),x40942),f862(a105,x40945))) % 186.59/186.34 [4126]E(f156(x41261,x41262,x41263,f862(f862(f144(x41261),x41264),x41265)),f862(f862(f127(x41262),f862(x41263,x41264)),f156(x41261,x41262,x41263,x41265))) % 186.59/186.34 [4138]E(f862(f862(f280(x41381,x41382,x41383),f862(f277(x41382,x41381),x41384)),f862(f277(x41383,x41382),x41385)),f862(f277(x41383,x41381),f862(f862(f280(x41383,x41382,x41381),x41385),x41384))) % 186.59/186.34 [4170]E(f862(f862(f862(f176(f925(x41701),f925(x41701)),x41702),f160(x41701)),f862(f862(f147(x41703,x41701),x41704),x41705)),f862(f862(f147(x41703,x41701),x41704),f862(f862(f862(f176(f925(x41703),f925(x41703)),x41702),f160(x41703)),x41705))) % 186.59/186.34 [4171]E(f862(f862(f251(x41711,x41712,x41711,x41713),f862(f244(x41712,x41711),x41714)),x41715),f862(x41715,x41714)) % 186.59/186.34 [4194]E(f148(x41941,x41942,f862(f862(f147(x41943,x41941),x41944),x41945)),f148(x41943,f862(f66(x41941,a924,x41943,x41942),x41944),x41945)) % 186.59/186.34 [4257]E(f170(f931(x42571,x42572),f862(f66(x42572,a921,f931(x42571,x42572),x42573),f248(x42571,x42572)),f862(f862(f174(x42571,x42572),x42574),x42575)),f862(f862(f174(x42571,x42572),x42574),f170(x42572,x42573,x42575))) % 186.59/186.34 [4262]E(f862(f302(x42621,x42622,f862(f862(f10(x42623,x42622,x42621),x42624),x42625)),f234(f932(x42621,a921))),f862(f302(x42623,x42622,x42624),f862(f302(x42621,x42623,x42625),f234(f932(x42621,a921))))) % 186.59/186.34 [4275]E(f170(f931(x42751,x42752),f862(f66(x42751,a921,f931(x42751,x42752),x42753),f243(x42751,x42752)),f862(f862(f174(x42751,x42752),x42754),x42755)),f862(f862(f174(x42751,x42752),f170(x42751,x42753,x42754)),x42755)) % 186.59/186.34 [4296]E(f862(f862(f103(f932(x42961,a921)),f862(f303(x42961,x42962,x42963),f862(f862(f301(x42962),x42964),f181(f932(x42962,a921))))),f862(f303(x42961,x42962,x42963),x42965)),f862(f303(x42961,x42962,x42963),f862(f862(f301(x42962),x42964),x42965))) % 186.59/186.34 [4351]E(f862(f862(f127(f931(x43511,x43512)),f862(f862(f147(x43512,f931(x43511,x43512)),f862(f244(x43511,x43512),x43513)),x43514)),f52(x43511,x43512,x43515,x43514)),f52(x43511,x43512,f862(f862(f144(x43511),x43513),x43515),x43514)) % 186.59/186.34 [4353]E(f862(f862(f147(x43531,x43532),x43533),f170(x43531,f862(f66(x43532,a921,x43531,x43534),x43533),x43535)),f170(x43532,x43534,f862(f862(f147(x43531,x43532),x43533),x43535))) % 186.59/186.34 [4358]E(f862(f135(x43581,x43582,f862(f9(x43582,x43581,x43581),f862(f9(x43581,x43582,x43581),x43583)),x43584),f862(f161(x43582),f862(f161(x43582),x43585))),f862(f135(x43581,x43582,x43583,x43584),x43585)) % 186.59/186.34 [4462]P1(f862(f862(f227(f932(x44621,a921)),f862(f302(x44622,x44621,x44623),f862(f862(f94(f932(x44622,a921)),x44624),x44625))),f862(f862(f94(f932(x44621,a921)),f862(f302(x44622,x44621,x44623),x44624)),f862(f302(x44622,x44621,x44623),x44625)))) % 186.59/186.34 [4463]P1(f862(f862(f227(f932(x44631,a921)),f862(f276(x44632,x44631,x44633),f862(f862(f94(f932(x44632,a921)),x44634),x44635))),f862(f862(f94(f932(x44631,a921)),f862(f276(x44632,x44631,x44633),x44634)),f862(f276(x44632,x44631,x44633),x44635)))) % 186.59/186.34 [4564]E(f862(f248(x45641,x45642),f862(f250(x45643,x45641,x45642,x45642,x45644,f25(x45642)),x45645)),f862(f248(x45643,x45642),x45645)) % 186.59/186.34 [4565]E(f862(f243(x45651,x45652),f862(f250(x45651,x45651,x45653,x45652,f25(x45651),x45654),x45655)),f862(f243(x45651,x45653),x45655)) % 186.59/186.34 [3764]E(f862(f862(f862(f862(f197(x37641),x37642),x37643),x37644),x37645),f185(x37641,x37642)) % 186.59/186.34 [3765]E(f862(f862(f862(f862(f201(x37651),x37652),x37653),x37654),x37655),f192(x37651,x37652)) % 186.59/186.34 [4127]E(f862(f862(f32(x41271,f932(x41272,a921)),f862(f862(f301(x41271),x41273),x41274)),x41275),f862(f862(f94(f932(x41272,a921)),f862(x41275,x41273)),f862(f862(f32(x41271,f932(x41272,a921)),x41274),x41275))) % 186.59/186.34 [4128]E(f862(f862(f33(x41281,f932(x41282,a921)),f862(f862(f301(x41281),x41283),x41284)),x41285),f862(f862(f103(f932(x41282,a921)),f862(x41285,x41283)),f862(f862(f33(x41281,f932(x41282,a921)),x41284),x41285))) % 186.59/186.34 [4178]E(f862(f111(x41781,x41782,f862(x41783,x41784)),f862(f862(f9(x41781,a92,f926(x41782)),x41785),x41784)),f862(f190(x41781,x41782,x41783,x41785),x41784)) % 186.59/186.34 [4188]E(f862(f862(f103(f932(x41881,a921)),f862(f302(x41882,x41881,x41883),x41884)),f862(f302(x41882,x41881,x41883),x41885)),f862(f302(x41882,x41881,x41883),f862(f862(f103(f932(x41882,a921)),x41884),x41885))) % 186.59/186.34 [4189]E(f862(f862(f103(f932(x41891,a921)),f862(f276(x41892,x41891,x41893),x41894)),f862(f276(x41892,x41891,x41893),x41895)),f862(f276(x41892,x41891,x41893),f862(f862(f103(f932(x41892,a921)),x41894),x41895))) % 186.59/186.34 [4190]E(f862(f862(f103(f932(x41901,a921)),f862(f303(x41901,x41902,x41903),x41904)),f862(f303(x41901,x41902,x41903),x41905)),f862(f303(x41901,x41902,x41903),f862(f862(f103(f932(x41902,a921)),x41904),x41905))) % 186.59/186.34 [4191]E(f862(f862(f94(f932(x41911,a921)),f862(f303(x41911,x41912,x41913),x41914)),f862(f303(x41911,x41912,x41913),x41915)),f862(f303(x41911,x41912,x41913),f862(f862(f94(f932(x41912,a921)),x41914),x41915))) % 186.59/186.34 [4192]E(f862(f862(f3(f932(x41921,a921)),f862(f303(x41921,x41922,x41923),x41924)),f862(f303(x41921,x41922,x41923),x41925)),f862(f303(x41921,x41922,x41923),f862(f862(f3(f932(x41922,a921)),x41924),x41925))) % 186.59/186.34 [4253]E(f862(f862(f152(x42531,f862(f862(f127(x42531),x42532),f862(f862(f144(x42531),x42533),x42534))),f862(f182(f925(x42531)),x42532)),x42535),f862(f862(f127(x42531),x42532),f862(f862(f144(x42531),x42535),x42534))) % 186.59/186.34 [4260]E(f862(f862(f32(x42601,f932(x42602,a921)),x42603),f862(f862(f10(f932(x42602,a921),f932(x42602,a921),x42601),f862(f301(x42602),x42604)),x42605)),f862(f862(f301(x42602),x42604),f862(f862(f32(x42601,f932(x42602,a921)),x42603),x42605))) % 186.59/186.34 [4413]E(f862(f862(f147(x44131,x44132),x44133),f862(f129(x44131,f862(f66(x44132,a921,x44131,x44134),x44133)),x44135)),f862(f129(x44132,x44134),f862(f862(f147(x44131,x44132),x44133),x44135))) % 186.59/186.34 [4419]E(f862(f182(f925(x44191)),f862(f129(x44191,x44192),f862(f862(f147(x44193,x44191),x44194),x44195))),f862(f182(f925(x44193)),f862(f129(x44193,f862(f66(x44191,a921,x44193,x44192),x44194)),x44195))) % 186.59/186.34 [4629]E(f862(f149(f925(f931(x46291,x46292)),x46292,f106(f931(x46291,x46292)),f862(f862(f9(x46292,f932(f925(x46292),f925(f931(x46291,x46292))),f932(f925(x46292),f925(f931(x46291,x46292)))),f862(f862(f10(f932(f925(f931(x46291,x46292)),f925(f931(x46291,x46292))),f932(f932(f925(x46292),f925(f931(x46291,x46292))),f932(f925(x46292),f925(f931(x46291,x46292)))),x46292),f10(f925(f931(x46291,x46292)),f925(f931(x46291,x46292)),f925(x46292))),f862(f862(f10(f931(x46291,x46292),f932(f925(f931(x46291,x46292)),f925(f931(x46291,x46292))),x46292),f144(f931(x46291,x46292))),f862(f244(x46291,x46292),x46293)))),f862(f174(x46291,x46292),x46294))),x46295),f862(f862(f174(x46291,x46292),f862(f862(f144(x46291),x46293),x46294)),x46295)) % 186.59/186.34 [4119]E(f862(f862(f152(x41191,f862(f862(f152(x41191,x41192),x41193),x41194)),x41193),x41195),f862(f862(f152(x41191,x41192),x41193),x41195)) % 186.59/186.34 [4172]E(f862(f275(x41721,x41722),f862(f862(f301(f931(x41721,x41722)),f862(f862(f244(x41721,x41722),x41723),x41724)),x41725)),f862(f862(f301(x41722),x41724),f862(f275(x41721,x41722),x41725))) % 186.59/186.34 [4173]E(f862(f256(x41731,x41732),f862(f862(f301(f931(x41731,x41732)),f862(f862(f244(x41731,x41732),x41733),x41734)),x41735)),f862(f862(f301(x41731),x41733),f862(f256(x41731,x41732),x41735))) % 186.59/186.34 [4218]E(f115(x42181,x42182,f862(x42183,x42184),f862(f862(f9(x42181,a92,f926(f928(x42182))),x42185),x42184)),f862(f188(x42181,x42182,x42183,x42185),x42184)) % 186.59/186.34 [4246]E(f862(f862(f103(f932(f931(x42461,x42462),a921)),f862(f862(f246(x42461,x42462),x42463),x42464)),f862(f862(f246(x42461,x42462),x42465),x42464)),f862(f862(f246(x42461,x42462),f862(f862(f103(f932(x42461,a921)),x42463),x42465)),x42464)) % 186.59/186.34 [4247]E(f862(f862(f94(f932(f931(x42471,x42472),a921)),f862(f862(f246(x42471,x42472),x42473),x42474)),f862(f862(f246(x42471,x42472),x42475),x42474)),f862(f862(f246(x42471,x42472),f862(f862(f94(f932(x42471,a921)),x42473),x42475)),x42474)) % 186.59/186.34 [4248]E(f862(f862(f3(f932(f931(x42481,x42482),a921)),f862(f862(f246(x42481,x42482),x42483),x42484)),f862(f862(f246(x42481,x42482),x42485),x42484)),f862(f862(f246(x42481,x42482),f862(f862(f3(f932(x42481,a921)),x42483),x42485)),x42484)) % 186.59/186.34 [4307]E(f862(f862(f94(f932(x43071,a921)),f862(f862(f32(x43072,f932(x43071,a921)),x43073),x43074)),f862(f862(f32(x43072,f932(x43071,a921)),x43075),x43074)),f862(f862(f32(x43072,f932(x43071,a921)),f862(f862(f103(f932(x43072,a921)),x43073),x43075)),x43074)) % 186.59/186.34 [4308]E(f862(f862(f103(f932(x43081,a921)),f862(f862(f33(x43082,f932(x43081,a921)),x43083),x43084)),f862(f862(f33(x43082,f932(x43081,a921)),x43085),x43084)),f862(f862(f33(x43082,f932(x43081,a921)),f862(f862(f103(f932(x43082,a921)),x43083),x43085)),x43084)) % 186.59/186.34 [4322]E(f862(f862(f32(x43221,f932(x43222,a921)),x43223),f862(f862(f10(f932(x43222,a921),f932(x43222,a921),x43221),f862(f103(f932(x43222,a921)),x43224)),x43225)),f862(f862(f103(f932(x43222,a921)),x43224),f862(f862(f32(x43221,f932(x43222,a921)),x43223),x43225))) % 186.59/186.34 [4323]E(f862(f862(f33(x43231,f932(x43232,a921)),x43233),f862(f862(f10(f932(x43232,a921),f932(x43232,a921),x43231),f862(f94(f932(x43232,a921)),x43234)),x43235)),f862(f862(f94(f932(x43232,a921)),x43234),f862(f862(f33(x43231,f932(x43232,a921)),x43233),x43235))) % 186.59/186.34 [4324]E(f862(f862(f33(x43241,f932(x43242,a921)),x43243),f862(f862(f10(f932(x43242,a921),f932(x43242,a921),x43241),f862(f3(f932(x43242,a921)),x43244)),x43245)),f862(f862(f3(f932(x43242,a921)),x43244),f862(f862(f32(x43241,f932(x43242,a921)),x43243),x43245))) % 186.59/186.34 [4378]E(f178(f925(x43781),f862(f862(f144(x43781),x43782),x43783),f862(f862(f10(f925(x43781),f925(x43781),a924),f862(f144(x43781),x43784)),f862(f862(f9(a924,x43781,f925(x43781)),f152(x43781,x43783)),x43782)),x43785),f862(f862(f152(x43781,f862(f862(f144(x43781),x43784),x43783)),x43785),x43782)) % 186.59/186.34 [4382]E(f862(f862(f32(x43821,f932(f931(x43822,x43823),a921)),x43824),f862(f862(f10(f932(f931(x43823,x43822),a921),f932(f931(x43822,x43823),a921),x43821),f277(x43823,x43822)),x43825)),f862(f277(x43823,x43822),f862(f862(f32(x43821,f932(f931(x43823,x43822),a921)),x43824),x43825))) % 186.59/186.34 [4383]E(f862(f862(f33(x43831,f932(f931(x43832,x43833),a921)),x43834),f862(f862(f10(f932(f931(x43833,x43832),a921),f932(f931(x43832,x43833),a921),x43831),f277(x43833,x43832)),x43835)),f862(f277(x43833,x43832),f862(f862(f33(x43831,f932(f931(x43833,x43832),a921)),x43834),x43835))) % 186.59/186.34 [4485]P1(f862(f862(f227(f932(x44851,a921)),f862(f862(f3(f932(x44851,a921)),f862(f302(x44852,x44851,x44853),x44854)),f862(f302(x44852,x44851,x44853),x44855))),f862(f302(x44852,x44851,x44853),f862(f862(f3(f932(x44852,a921)),x44854),x44855)))) % 186.59/186.34 [4632]E(f862(f149(f925(f931(x46321,x46322)),x46321,f106(f931(x46321,x46322)),f862(f862(f9(x46321,f932(f925(x46321),f925(f931(x46321,x46322))),f932(f925(x46321),f925(f931(x46321,x46322)))),f862(f862(f10(f932(f925(f931(x46321,x46322)),f925(f931(x46321,x46322))),f932(f932(f925(x46321),f925(f931(x46321,x46322))),f932(f925(x46321),f925(f931(x46321,x46322)))),x46321),f10(f925(f931(x46321,x46322)),f925(f931(x46321,x46322)),f925(x46321))),f862(f862(f10(f931(x46321,x46322),f932(f925(f931(x46321,x46322)),f925(f931(x46321,x46322))),x46321),f144(f931(x46321,x46322))),f862(f862(f9(x46321,x46322,f931(x46321,x46322)),f244(x46321,x46322)),x46323)))),f862(f862(f9(f925(x46321),f925(x46322),f925(f931(x46321,x46322))),f174(x46321,x46322)),x46324))),x46325),f862(f862(f174(x46321,x46322),x46325),f862(f862(f144(x46322),x46323),x46324))) % 186.59/186.34 [4347]E(f862(f862(f103(f932(x43471,a921)),f862(f276(x43472,x43471,x43473),x43474)),f862(f276(x43472,x43471,x43475),x43474)),f862(f276(x43472,x43471,f862(f862(f103(f932(f931(x43472,x43471),a921)),x43473),x43475)),x43474)) % 186.59/186.34 [4384]E(f862(f862(f127(f931(x43841,x43842)),f862(f862(f174(x43841,x43842),x43843),f862(f862(f168(x43842),f862(f182(f925(x43841)),x43843)),x43844))),f862(f862(f174(x43841,x43842),x43845),f862(f862(f131(x43842),f862(f182(f925(x43841)),x43843)),x43844))),f862(f862(f174(x43841,x43842),f862(f862(f127(x43841),x43843),x43845)),x43844)) % 186.59/186.34 [4488]E(f862(f862(f246(x44881,x44882),x44883),f862(f862(f20(x44881,f932(x44882,a921),f932(x44882,a921)),f862(f862(f10(f932(x44882,a921),f932(f932(x44882,a921),f932(x44882,a921)),x44881),f103(f932(x44882,a921))),x44884)),x44885)),f862(f862(f103(f932(f931(x44881,x44882),a921)),f862(f862(f246(x44881,x44882),x44883),x44884)),f862(f862(f246(x44881,x44882),x44883),x44885))) % 186.59/186.34 [4489]E(f862(f862(f246(x44891,x44892),x44893),f862(f862(f20(x44891,f932(x44892,a921),f932(x44892,a921)),f862(f862(f10(f932(x44892,a921),f932(f932(x44892,a921),f932(x44892,a921)),x44891),f94(f932(x44892,a921))),x44894)),x44895)),f862(f862(f94(f932(f931(x44891,x44892),a921)),f862(f862(f246(x44891,x44892),x44893),x44894)),f862(f862(f246(x44891,x44892),x44893),x44895))) % 186.59/186.34 [4490]E(f862(f862(f246(x44901,x44902),x44903),f862(f862(f20(x44901,f932(x44902,a921),f932(x44902,a921)),f862(f862(f10(f932(x44902,a921),f932(f932(x44902,a921),f932(x44902,a921)),x44901),f3(f932(x44902,a921))),x44904)),x44905)),f862(f862(f3(f932(f931(x44901,x44902),a921)),f862(f862(f246(x44901,x44902),x44903),x44904)),f862(f862(f246(x44901,x44902),x44903),x44905))) % 186.59/186.34 [4494]E(f862(f862(f32(x44941,f932(x44942,a921)),x44943),f862(f862(f9(x44941,f932(x44942,a921),f932(x44942,a921)),f862(f862(f10(f932(x44942,a921),f932(f932(x44942,a921),f932(x44942,a921)),x44941),f103(f932(x44942,a921))),x44944)),x44945)),f862(f862(f103(f932(x44942,a921)),f862(f862(f32(x44941,f932(x44942,a921)),x44943),x44944)),x44945)) % 186.59/186.34 [4495]E(f862(f862(f33(x44951,f932(x44952,a921)),x44953),f862(f862(f9(x44951,f932(x44952,a921),f932(x44952,a921)),f862(f862(f10(f932(x44952,a921),f932(f932(x44952,a921),f932(x44952,a921)),x44951),f94(f932(x44952,a921))),x44954)),x44955)),f862(f862(f94(f932(x44952,a921)),f862(f862(f33(x44951,f932(x44952,a921)),x44953),x44954)),x44955)) % 186.59/186.34 [4496]E(f862(f862(f33(x44961,f932(x44962,a921)),x44963),f862(f862(f9(x44961,f932(x44962,a921),f932(x44962,a921)),f862(f862(f10(f932(x44962,a921),f932(f932(x44962,a921),f932(x44962,a921)),x44961),f3(f932(x44962,a921))),x44964)),x44965)),f862(f862(f3(f932(x44962,a921)),f862(f862(f33(x44961,f932(x44962,a921)),x44963),x44964)),x44965)) % 186.59/186.34 [4500]E(f862(f862(f32(x45001,f932(x45002,a921)),x45003),f862(f862(f20(x45001,f932(x45002,a921),f932(x45002,a921)),f862(f862(f10(f932(x45002,a921),f932(f932(x45002,a921),f932(x45002,a921)),x45001),f94(f932(x45002,a921))),x45004)),x45005)),f862(f862(f94(f932(x45002,a921)),f862(f862(f32(x45001,f932(x45002,a921)),x45003),x45004)),f862(f862(f32(x45001,f932(x45002,a921)),x45003),x45005))) % 186.59/186.34 [4501]E(f862(f862(f33(x45011,f932(x45012,a921)),x45013),f862(f862(f20(x45011,f932(x45012,a921),f932(x45012,a921)),f862(f862(f10(f932(x45012,a921),f932(f932(x45012,a921),f932(x45012,a921)),x45011),f103(f932(x45012,a921))),x45014)),x45015)),f862(f862(f103(f932(x45012,a921)),f862(f862(f33(x45011,f932(x45012,a921)),x45013),x45014)),f862(f862(f33(x45011,f932(x45012,a921)),x45013),x45015))) % 186.59/186.34 [4514]E(f862(f862(f32(x45141,f932(x45142,a921)),x45143),f862(f862(f20(x45141,f932(x45142,a921),f932(x45142,a921)),f862(f862(f10(f932(x45142,a921),f932(f932(x45142,a921),f932(x45142,a921)),x45141),f94(f932(x45142,a921))),x45144)),x45145)),f862(f862(f94(f932(x45142,a921)),f31(f932(x45142,a921),f862(f302(x45141,f932(x45142,a921),x45144),x45143))),f31(f932(x45142,a921),f862(f302(x45141,f932(x45142,a921),x45145),x45143)))) % 186.59/186.34 [4515]E(f862(f862(f33(x45151,f932(x45152,a921)),x45153),f862(f862(f20(x45151,f932(x45152,a921),f932(x45152,a921)),f862(f862(f10(f932(x45152,a921),f932(f932(x45152,a921),f932(x45152,a921)),x45151),f103(f932(x45152,a921))),x45154)),x45155)),f862(f862(f103(f932(x45152,a921)),f30(f932(x45152,a921),f862(f302(x45151,f932(x45152,a921),x45154),x45153))),f30(f932(x45152,a921),f862(f302(x45151,f932(x45152,a921),x45155),x45153)))) % 186.59/186.34 [4553]E(f862(f862(f131(x45531),f862(f182(f925(x45531)),f170(x45531,x45532,f862(f862(f147(x45533,x45531),x45534),x45535)))),f862(f862(f147(x45533,x45531),x45534),x45535)),f862(f862(f147(x45533,x45531),x45534),f862(f862(f131(x45533),f862(f182(f925(x45533)),f170(x45533,f862(f66(x45531,a921,x45533,x45532),x45534),x45535))),x45535))) % 186.59/186.34 [4426]E(f862(f862(f127(f931(x44261,x44262)),f862(f862(f174(x44261,x44262),f862(f862(f168(x44261),f862(f182(f925(x44262)),x44263)),x44264)),x44263)),f862(f862(f174(x44261,x44262),f862(f862(f131(x44261),f862(f182(f925(x44262)),x44263)),x44264)),x44265)),f862(f862(f174(x44261,x44262),x44264),f862(f862(f127(x44262),x44263),x44265))) % 186.59/186.34 [4544]E(f78(x45441,f862(f862(f20(x45441,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45441),a318),f862(f862(f9(x45441,f932(x45441,a921),a921),f321(x45441)),x45442))),f862(f862(f9(x45441,x45443,a921),f862(f862(f10(x45443,f932(x45443,a921),x45441),a317),x45444)),x45445))),f862(f70(x45441,x45443,x45442,x45444),x45445)) % 186.59/186.34 [4545]E(f83(x45451,f862(f862(f20(x45451,a921,a921),f862(f862(f10(a921,f932(a921,a921),x45451),a318),f862(f862(f9(x45451,f932(x45451,a921),a921),f321(x45451)),x45452))),f862(f862(f9(x45451,x45453,a921),f862(f862(f10(x45453,f932(x45453,a921),x45451),a317),x45454)),x45455))),f862(f86(x45451,x45453,x45452,x45454),x45455)) % 186.59/186.34 [4593]E(f862(f862(f79(a1,x45931),f862(f96(a1),f862(f862(f73(a1),x45932),a90))),f862(f862(f20(a1,x45931,x45931),f862(f862(f9(a1,x45931,f932(x45931,x45931)),f862(f862(f10(a921,f932(x45931,f932(x45931,x45931)),a1),f89(x45931)),a186)),f178(x45931,x45933,x45934,x45935))),f862(f862(f10(a924,x45931,a1),x45934),f862(f862(f9(a1,a924,a924),f862(f862(f10(a924,f932(a924,a924),a1),f73(a924)),a97)),x45935)))),f178(x45931,x45933,x45934,f862(f862(f73(a924),f862(f96(a924),x45932)),x45935))) % 186.59/186.34 [4628]E(f862(f862(f79(a1,x46281),f862(f96(a1),f862(f862(f73(a1),x46282),a90))),f862(f862(f20(a1,x46281,x46281),f862(f862(f9(a1,x46281,f932(x46281,x46281)),f862(f862(f10(a921,f932(x46281,f932(x46281,x46281)),a1),f89(x46281)),a186)),f862(f177(x46281,x46283,x46284),x46285))),f862(f862(f20(a1,x46281,x46281),f862(f862(f10(a924,f932(x46281,x46281),a1),x46284),f862(f862(f9(a1,a924,a924),f862(f862(f10(a924,f932(a924,a924),a1),f73(a924)),a97)),x46285))),f862(f862(f10(a924,x46281,a1),f177(x46281,x46283,x46284)),f862(f862(f9(a1,a924,a924),f862(f862(f10(a924,f932(a924,a924),a1),f73(a924)),a97)),x46285))))),f862(f177(x46281,x46283,x46284),f862(f862(f73(a924),f862(f96(a924),x46282)),x46285))) % 186.59/186.34 [4661]E(f862(f254(f931(x46611,x46612)),f862(f249(x46611,x46612,a921),f862(f862(f10(f932(x46612,f932(x46613,a921)),f932(x46612,a921),x46611),f862(f10(f932(x46613,a921),a921,x46612),f80(x46613))),f862(f862(f9(x46611,f932(x46612,f932(x46613,a921)),f932(x46612,f932(x46613,a921))),f862(f862(f10(f932(f932(x46613,a921),f932(x46613,a921)),f932(f932(x46612,f932(x46613,a921)),f932(x46612,f932(x46613,a921))),x46611),f10(f932(x46613,a921),f932(x46613,a921),x46612)),f862(f862(f10(f932(x46613,f932(a921,a921)),f932(f932(x46613,a921),f932(x46613,a921)),x46611),f20(x46613,a921,a921)),f862(f862(f10(f932(x46613,a921),f932(x46613,f932(a921,a921)),x46611),f862(f10(a921,f932(a921,a921),x46613),a318)),f862(f862(f9(x46611,f932(f931(x46611,x46613),a921),f932(x46613,a921)),f862(f862(f10(f932(x46613,f932(f932(f931(x46611,x46613),a921),a921)),f932(f932(f931(x46611,x46613),a921),f932(x46613,a921)),x46611),f9(x46613,f932(f931(x46611,x46613),a921),a921)),f862(f862(f10(f932(x46613,f931(x46611,x46613)),f932(x46613,f932(f932(f931(x46611,x46613),a921),a921)),x46611),f862(f10(f931(x46611,x46613),f932(f932(f931(x46611,x46613),a921),a921),x46613),f321(f931(x46611,x46613)))),f244(x46611,x46613)))),x46614))))),f862(f862(f9(x46612,f932(f931(x46613,x46612),a921),f932(x46613,a921)),f862(f862(f10(f932(x46613,f932(f932(f931(x46613,x46612),a921),a921)),f932(f932(f931(x46613,x46612),a921),f932(x46613,a921)),x46612),f9(x46613,f932(f931(x46613,x46612),a921),a921)),f862(f862(f10(f932(x46613,f931(x46613,x46612)),f932(x46613,f932(f932(f931(x46613,x46612),a921),a921)),x46612),f862(f10(f931(x46613,x46612),f932(f932(f931(x46613,x46612),a921),a921),x46613),f321(f931(x46613,x46612)))),f862(f9(x46613,x46612,f931(x46613,x46612)),f244(x46613,x46612))))),x46615))))),f862(f862(f280(x46611,x46613,x46612),x46614),x46615)) % 186.59/186.35 [4276]E(f217(x42761,x42762,x42763,x42764,f213(x42761,x42762,x42765,x42766)),f862(f862(x42764,x42765),x42766)) % 186.59/186.35 [4277]E(f218(x42771,x42772,x42773,x42774,f213(x42771,x42772,x42775,x42776)),f862(f862(x42774,x42775),x42776)) % 186.59/186.35 [4402]E(f120(x44021,x44022,x44023,x44024,f119(x44022,x44025,x44026)),f862(f862(f862(x44024,x44025),x44026),f120(x44021,x44022,x44023,x44024,x44026))) % 186.59/186.35 [4421]E(f68(x44211,x44212,f68(x44211,x44212,x44213,x44214,x44215),x44214,x44216),f68(x44211,x44212,x44213,x44214,x44216)) % 186.59/186.35 [4532]E(f862(f66(f931(x45321,x45322),x45322,f931(x45323,x45324),f248(x45321,x45322)),f250(x45323,x45321,x45324,x45322,x45325,x45326)),f862(f66(x45324,x45322,f931(x45323,x45324),x45326),f248(x45323,x45324))) % 186.59/186.35 [4533]E(f862(f66(f931(x45331,x45332),x45331,f931(x45333,x45334),f243(x45331,x45332)),f250(x45333,x45331,x45334,x45332,x45335,x45336)),f862(f66(x45333,x45331,f931(x45333,x45334),x45335),f243(x45333,x45334))) % 186.59/186.35 [4148]E(f862(f862(f66(x41481,x41482,x41483,x41484),x41485),x41486),f862(x41484,f862(x41485,x41486))) % 186.59/186.35 [4286]E(f216(x42861,f931(x42862,f926(x42862)),x42863,f862(f249(x42862,f926(x42862),x42861),x42864),f862(f128(x42862),f119(x42862,x42865,x42866))),f862(f862(x42864,x42865),x42866)) % 186.59/186.35 [4336]E(f219(x43361,x43362,x43363,x43364,f213(x43361,x43362,x43365,x43366)),f862(f862(f73(a924),f862(f862(f73(a924),f862(x43363,x43365)),f862(x43364,x43366))),f862(a105,f2(a924)))) % 186.59/186.35 [3950]E(f862(f862(f249(x39501,x39502,x39503),x39504),f862(f862(f244(x39501,x39502),x39505),x39506)),f862(f862(x39504,x39505),x39506)) % 186.59/186.35 [4010]E(f862(f862(f862(f10(x40101,x40102,x40103),x40104),x40105),x40106),f862(x40104,f862(x40105,x40106))) % 186.59/186.35 [4011]E(f862(f862(f862(f9(x40111,x40112,x40113),x40114),x40115),x40116),f862(f862(x40114,x40116),x40115)) % 186.59/186.35 [4027]E(f862(f862(f862(f20(x40271,x40272,x40273),x40274),x40275),x40276),f862(f862(x40274,x40276),f862(x40275,x40276))) % 186.59/186.35 [4050]E(f862(f149(x40501,x40502,x40503,x40504),f862(f862(f144(x40502),x40505),x40506)),f862(f862(x40504,x40505),x40506)) % 186.59/186.35 [4086]E(f162(f931(x40861,x40862),f862(f862(f225(a924),x40863),x40864),f862(f862(f244(x40861,x40862),x40865),x40866)),f862(f862(f174(x40861,x40862),f162(x40861,x40863,x40865)),f162(x40862,x40864,x40866))) % 186.59/186.35 [4152]E(f862(f862(f144(f931(x41521,x41522)),f862(f862(f244(x41521,x41522),x41523),x41524)),f862(f862(f174(x41521,x41522),x41525),x41526)),f862(f862(f174(x41521,x41522),f862(f862(f144(x41521),x41523),x41525)),f862(f862(f144(x41522),x41524),x41526))) % 186.59/186.35 [4153]E(f862(f862(f147(x41531,x41532),x41533),f862(f862(f152(x41531,x41534),x41535),x41536)),f862(f862(f152(x41532,f862(f862(f147(x41531,x41532),x41533),x41534)),x41535),f862(x41533,x41536))) % 186.59/186.35 [4177]E(f862(f862(f247(x41771,x41772,x41773,x41774),x41775),x41776),f862(x41774,f862(f862(f244(x41771,x41772),x41775),x41776))) % 186.59/186.35 [4193]E(f862(f135(x41931,x41932,x41933,x41934),f862(f862(f144(x41932),x41935),x41936)),f862(f135(x41931,x41932,x41933,f862(f862(x41933,x41934),x41935)),x41936)) % 186.59/186.35 [4219]E(f252(x42191,x42192,x42193,x42194,f862(f862(f244(x42191,x42192),x42195),x42196)),f862(f862(x42194,x42195),x42196)) % 186.59/186.35 [4300]E(f862(f862(f33(x43001,f932(x43002,a921)),x43003),f862(f66(x43004,f932(x43002,a921),x43001,x43005),x43006)),f862(f862(f33(x43004,f932(x43002,a921)),f862(f302(x43001,x43004,x43006),x43003)),x43005)) % 186.59/186.35 [4350]E(f862(f862(f147(x43501,x43502),x43503),f862(f862(f147(x43504,x43501),x43505),x43506)),f862(f862(f147(x43504,x43502),f862(f66(x43501,x43502,x43504,x43503),x43505)),x43506)) % 186.59/186.35 [4356]E(f862(f302(x43561,x43562,f862(f66(x43563,x43562,x43561,x43564),x43565)),x43566),f862(f302(x43563,x43562,x43564),f862(f302(x43561,x43563,x43565),x43566))) % 186.59/186.35 [4357]E(f862(f303(x43571,x43572,f862(f66(x43573,x43572,x43571,x43574),x43575)),x43576),f862(f303(x43571,x43573,x43575),f862(f303(x43573,x43572,x43574),x43576))) % 186.59/186.35 [4385]E(f862(f135(x43851,x43852,x43853,f862(f135(x43851,x43852,x43853,x43854),x43855)),x43856),f862(f135(x43851,x43852,x43853,x43854),f862(f862(f127(x43852),x43855),x43856))) % 186.59/186.35 [4520]E(f862(f250(x45201,x45201,x45202,x45203,f25(x45201),x45204),f862(f862(f244(x45201,x45202),x45205),x45206)),f862(f862(f244(x45201,x45203),x45205),f862(x45204,x45206))) % 186.59/186.35 [4521]E(f862(f250(x45211,x45212,x45213,x45213,x45214,f25(x45213)),f862(f862(f244(x45211,x45213),x45215),x45216)),f862(f862(f244(x45212,x45213),f862(x45214,x45215)),x45216)) % 186.59/186.35 [4611]E(f862(f862(f147(f931(x46111,x46112),f931(x46111,x46113)),f862(f249(x46111,x46112,f931(x46111,x46113)),f862(f862(f9(x46111,f932(x46112,x46113),f932(x46112,f931(x46111,x46113))),f862(f862(f10(f932(x46113,f931(x46111,x46113)),f932(f932(x46112,x46113),f932(x46112,f931(x46111,x46113))),x46111),f10(x46113,f931(x46111,x46113),x46112)),f244(x46111,x46113))),x46114))),f862(f862(f174(x46111,x46112),x46115),x46116)),f862(f862(f174(x46111,x46113),x46115),f862(f862(f147(x46112,x46113),x46114),x46116))) % 186.59/186.35 [4203]E(f862(f862(f66(x42031,x42032,x42033,f862(f18(x42032,x42031),x42034)),x42035),x42036),x42034) % 186.59/186.35 [4235]E(f862(f302(x42351,x42352,x42353),f862(f302(x42354,x42351,x42355),x42356)),f862(f302(x42354,x42352,f862(f862(f10(x42351,x42352,x42354),x42353),x42355)),x42356)) % 186.59/186.35 [4241]E(f862(f862(f32(x42411,f932(x42412,a921)),f862(f302(x42413,x42411,x42414),x42415)),x42416),f862(f862(f32(x42413,f932(x42412,a921)),x42415),f862(f862(f10(x42411,f932(x42412,a921),x42413),x42416),x42414))) % 186.59/186.35 [4242]E(f862(f862(f33(x42421,f932(x42422,a921)),f862(f302(x42423,x42421,x42424),x42425)),x42426),f862(f862(f33(x42423,f932(x42422,a921)),x42425),f862(f862(f10(x42421,f932(x42422,a921),x42423),x42426),x42424))) % 186.59/186.35 [4243]E(f862(f862(f32(x42431,f932(x42432,a921)),x42433),f862(f862(f10(x42434,f932(x42432,a921),x42431),x42435),x42436)),f862(f862(f32(x42434,f932(x42432,a921)),f862(f302(x42431,x42434,x42436),x42433)),x42435)) % 186.59/186.35 [4244]E(f862(f862(f33(x42441,f932(x42442,a921)),x42443),f862(f862(f10(x42444,f932(x42442,a921),x42441),x42445),x42446)),f862(f862(f33(x42444,f932(x42442,a921)),f862(f302(x42441,x42444,x42446),x42443)),x42445)) % 186.59/186.35 [4302]E(f862(f862(f33(x43021,f932(x43022,a921)),x43023),f862(f862(f10(f932(x43024,a921),f932(x43022,a921),x43021),f302(x43024,x43022,x43025)),x43026)),f862(f302(x43024,x43022,x43025),f862(f862(f33(x43021,f932(x43024,a921)),x43023),x43026))) % 186.59/186.35 [4303]E(f862(f862(f33(x43031,f932(x43032,a921)),x43033),f862(f862(f10(f932(x43034,a921),f932(x43032,a921),x43031),f276(x43034,x43032,x43035)),x43036)),f862(f276(x43034,x43032,x43035),f862(f862(f33(x43031,f932(x43034,a921)),x43033),x43036))) % 186.59/186.35 [4304]E(f862(f862(f32(x43041,f932(x43042,a921)),x43043),f862(f862(f10(f932(x43044,a921),f932(x43042,a921),x43041),f303(x43042,x43044,x43045)),x43046)),f862(f303(x43042,x43044,x43045),f862(f862(f32(x43041,f932(x43044,a921)),x43043),x43046))) % 186.59/186.35 [4305]E(f862(f862(f33(x43051,f932(x43052,a921)),x43053),f862(f862(f10(f932(x43054,a921),f932(x43052,a921),x43051),f303(x43052,x43054,x43055)),x43056)),f862(f303(x43052,x43054,x43055),f862(f862(f33(x43051,f932(x43054,a921)),x43053),x43056))) % 186.59/186.35 [4390]E(f862(f135(x43901,x43902,f862(f9(x43902,x43901,x43901),x43903),x43904),f862(f161(x43902),f862(f862(f144(x43902),x43905),x43906))),f862(f862(x43903,x43905),f862(f135(x43901,x43902,f862(f9(x43902,x43901,x43901),x43903),x43904),f862(f161(x43902),x43906)))) % 186.59/186.35 [4449]E(f862(f862(f20(f931(x44491,x44492),x44492,x44493),f862(f862(f10(x44494,f932(x44492,x44493),f931(x44491,x44492)),x44495),f862(f862(f10(x44491,x44494,f931(x44491,x44492)),x44496),f243(x44491,x44492)))),f248(x44491,x44492)),f862(f249(x44491,x44492,x44493),f862(f862(f10(x44494,f932(x44492,x44493),x44491),x44495),x44496))) % 186.59/186.35 [4456]E(f862(f135(x44561,x44562,f862(f9(x44562,x44561,x44561),x44563),f862(f135(x44561,x44562,f862(f9(x44562,x44561,x44561),x44563),x44564),f862(f161(x44562),x44565))),f862(f161(x44562),x44566)),f862(f135(x44561,x44562,f862(f9(x44562,x44561,x44561),x44563),x44564),f862(f161(x44562),f862(f862(f127(x44562),x44566),x44565)))) % 186.59/186.35 [4458]E(f862(f862(f147(f931(x44581,x44582),f931(x44583,x44582)),f862(f249(x44581,x44582,f931(x44583,x44582)),f862(f862(f10(x44583,f932(x44582,f931(x44583,x44582)),x44581),f244(x44583,x44582)),x44584))),f862(f862(f174(x44581,x44582),x44585),x44586)),f862(f862(f174(x44583,x44582),f862(f862(f147(x44581,x44583),x44584),x44585)),x44586)) % 186.59/186.35 [4503]P1(f862(f862(f227(f932(x45031,a921)),f862(f276(x45032,x45031,x45033),f862(f862(f32(x45034,f932(x45032,a921)),x45035),x45036))),f862(f862(f32(x45034,f932(x45031,a921)),x45035),f862(f862(f10(f932(x45032,a921),f932(x45031,a921),x45034),f276(x45032,x45031,x45033)),x45036)))) % 186.59/186.35 [4315]E(f862(f862(f174(x43151,x43152),f862(f862(f152(x43151,x43153),x43154),f862(f243(x43151,x43152),x43155))),f862(f862(f152(x43152,x43156),x43154),f862(f248(x43151,x43152),x43155))),f862(f862(f152(f931(x43151,x43152),f862(f862(f174(x43151,x43152),x43153),x43156)),x43154),x43155)) % 186.59/186.35 [4373]E(f862(f862(f103(f932(f931(x43731,x43732),a921)),f862(f862(f280(x43731,x43733,x43732),x43734),x43735)),f862(f862(f280(x43731,x43733,x43732),x43734),x43736)),f862(f862(f280(x43731,x43733,x43732),x43734),f862(f862(f103(f932(f931(x43733,x43732),a921)),x43735),x43736))) % 186.59/186.35 [4468]E(f862(f862(f301(f931(x44681,x44682)),f862(f862(f244(x44681,x44682),x44683),x44684)),f862(f862(f103(f932(f931(x44681,x44682),a921)),f862(f862(f246(x44681,x44682),x44685),f862(f18(f932(x44682,a921),x44681),f862(f862(f301(x44682),x44684),x44686)))),f862(f862(f246(x44681,x44682),f862(f862(f301(x44681),x44683),x44685)),f862(f18(f932(x44682,a921),x44681),x44686)))),f862(f862(f246(x44681,x44682),f862(f862(f301(x44681),x44683),x44685)),f862(f18(f932(x44682,a921),x44681),f862(f862(f301(x44682),x44684),x44686)))) % 186.59/186.35 [4549]E(f862(f862(f94(f932(x45491,a921)),f862(f303(x45491,x45492,f862(f66(f931(x45492,x45493),x45492,x45491,f243(x45492,x45493)),x45494)),x45495)),f862(f303(x45491,x45493,f862(f66(f931(x45492,x45493),x45493,x45491,f248(x45492,x45493)),x45494)),x45496)),f862(f303(x45491,f931(x45492,x45493),x45494),f862(f862(f246(x45492,x45493),x45495),f862(f18(f932(x45493,a921),x45492),x45496)))) % 186.59/186.35 [4396]E(f862(f862(f103(f932(f931(x43961,x43962),a921)),f862(f862(f280(x43961,x43963,x43962),x43964),x43965)),f862(f862(f280(x43961,x43963,x43962),x43966),x43965)),f862(f862(f280(x43961,x43963,x43962),f862(f862(f103(f932(f931(x43961,x43963),a921)),x43964),x43966)),x43965)) % 186.59/186.35 [4530]E(f862(f862(f32(x45301,f932(x45302,a921)),x45303),f862(f862(f9(x45301,f932(x45304,f932(x45302,a921)),f932(x45302,a921)),f862(f862(f10(f932(x45304,a921),f932(f932(x45304,f932(x45302,a921)),f932(x45302,a921)),x45301),f32(x45304,f932(x45302,a921))),x45305)),x45306)),f862(f862(f32(x45304,f932(x45302,a921)),f862(f862(f33(x45301,f932(x45304,a921)),x45303),x45305)),x45306)) % 186.59/186.35 [4531]E(f862(f862(f33(x45311,f932(x45312,a921)),x45313),f862(f862(f9(x45311,f932(x45314,f932(x45312,a921)),f932(x45312,a921)),f862(f862(f10(f932(x45314,a921),f932(f932(x45314,f932(x45312,a921)),f932(x45312,a921)),x45311),f33(x45314,f932(x45312,a921))),x45315)),x45316)),f862(f862(f33(x45314,f932(x45312,a921)),f862(f862(f33(x45311,f932(x45314,a921)),x45313),x45315)),x45316)) % 186.59/186.35 [4583]E(f862(f249(x45831,x45832,f931(x45833,x45834)),f862(f862(f9(x45831,f932(x45832,x45834),f932(x45832,f931(x45833,x45834))),f862(f862(f10(f932(x45834,f931(x45833,x45834)),f932(f932(x45832,x45834),f932(x45832,f931(x45833,x45834))),x45831),f10(x45834,f931(x45833,x45834),x45832)),f862(f862(f10(x45833,f932(x45834,f931(x45833,x45834)),x45831),f244(x45833,x45834)),x45835))),x45836)),f250(x45831,x45833,x45832,x45834,x45835,x45836)) % 186.59/186.35 [4606]E(f862(f302(x46061,x46062,f862(f862(f20(x46061,x46062,x46062),f862(f862(f20(x46061,x46062,f932(x46062,x46062)),f862(f862(f10(a921,f932(x46062,f932(x46062,x46062)),x46061),f89(x46062)),x46063)),x46064)),x46065)),x46066),f862(f862(f103(f932(x46062,a921)),f862(f302(x46061,x46062,x46064),f862(f862(f94(f932(x46061,a921)),x46066),f862(f254(x46061),x46063)))),f862(f302(x46061,x46062,x46065),f862(f862(f94(f932(x46061,a921)),x46066),f862(f254(x46061),f862(f862(f10(a921,a921,x46061),a314),x46063)))))) % 186.59/186.35 [4618]E(f862(f302(x46181,f931(x46182,x46183),f862(f862(f20(x46181,x46183,f931(x46182,x46183)),f862(f862(f10(x46182,f932(x46183,f931(x46182,x46183)),x46181),f244(x46182,x46183)),x46184)),x46185)),x46186),f862(f862(f246(x46182,x46183),f862(f302(x46181,x46182,x46184),x46186)),f862(f862(f10(f932(x46181,a921),f932(x46183,a921),x46182),f302(x46181,x46183,x46185)),f862(f862(f9(x46182,f932(x46181,a921),f932(x46181,a921)),f862(f862(f10(f932(x46181,a921),f932(f932(x46181,a921),f932(x46181,a921)),x46182),f94(f932(x46181,a921))),f862(f862(f10(f932(x46182,a921),f932(x46181,a921),x46182),f303(x46181,x46182,x46184)),f862(f862(f9(x46182,f932(x46182,a921),f932(x46182,a921)),f301(x46182)),f181(f932(x46182,a921)))))),x46186)))) % 186.59/186.35 [4643]E(f238(x46431,x46432,x46433,x46434,x46435,x46436),f862(x46434,f862(f254(x46431),f862(f862(f10(f932(f932(x46433,x46431),a921),a921,x46431),f80(f932(x46433,x46431))),f862(f862(f10(f932(f932(x46433,x46431),a921),f932(f932(x46433,x46431),a921),x46431),f862(f20(f932(x46433,x46431),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x46433,x46431)),a318),f862(f862(f9(f932(x46433,x46431),f932(f932(x46433,x46431),a921),a921),f321(f932(x46433,x46431))),x46435)))),f862(f862(f9(x46431,f932(f932(x46433,x46431),x46431),f932(f932(x46433,x46431),a921)),f862(f862(f10(f932(x46431,a921),f932(f932(f932(x46433,x46431),x46431),f932(f932(x46433,x46431),a921)),x46431),f10(x46431,a921,f932(x46433,x46431))),a317)),f862(f862(f9(f932(x46433,x46431),x46433,x46431),f7(f932(x46433,x46431))),x46436))))))) % 186.59/186.35 [4429]E(f862(f66(x44291,x44292,x44293,x44294),f68(x44293,x44291,x44295,x44296,x44297)),f68(x44293,x44292,f862(f66(x44291,x44292,x44293,x44294),x44295),x44296,f862(x44294,x44297))) % 186.59/186.35 [4566]E(f862(f248(x45661,x45662),f862(f250(x45663,x45661,x45664,x45662,x45665,x45666),x45667)),f862(x45666,f862(f248(x45663,x45664),x45667))) % 186.59/186.35 [4567]E(f862(f243(x45671,x45672),f862(f250(x45673,x45671,x45674,x45672,x45675,x45676),x45677)),f862(x45675,f862(f243(x45673,x45674),x45677))) % 186.59/186.35 [4278]E(f862(f862(f174(x42781,x42782),f862(f862(f152(x42781,x42783),x42784),x42785)),f862(f862(f152(x42782,x42786),x42784),x42787)),f862(f862(f152(f931(x42781,x42782),f862(f862(f174(x42781,x42782),x42783),x42786)),x42784),f862(f862(f244(x42781,x42782),x42785),x42787))) % 186.59/186.35 [4345]E(f862(f862(f862(f251(x43451,x43452,x43453,x43454),x43455),x43456),x43457),f862(f862(f249(x43452,x43453,x43454),x43456),f862(x43455,x43457))) % 186.59/186.35 [4355]E(f862(f862(f862(f251(x43551,x43552,x43553,x43554),x43555),x43556),x43557),f862(f862(x43556,f862(f243(x43552,x43553),f862(x43555,x43557))),f862(f248(x43552,x43553),f862(x43555,x43557)))) % 186.59/186.35 [4407]E(f862(f66(x44071,x44072,x44073,x44074),f862(f66(x44075,x44071,x44073,x44076),x44077)),f862(f66(x44075,x44072,x44073,f862(f66(x44071,x44072,x44075,x44074),x44076)),x44077)) % 186.59/186.35 [4587]E(f862(f250(x45871,x45872,x45873,x45873,x45874,f25(x45873)),f862(f250(x45871,x45871,x45875,x45873,f25(x45871),x45876),x45877)),f862(f862(f244(x45872,x45873),f862(x45874,f862(f243(x45871,x45875),x45877))),f862(x45876,f862(f248(x45871,x45875),x45877)))) % 186.59/186.35 [4588]E(f862(f250(x45881,x45881,x45882,x45883,f25(x45881),x45884),f862(f250(x45885,x45881,x45882,x45882,x45886,f25(x45882)),x45887)),f862(f862(f244(x45881,x45883),f862(x45886,f862(f243(x45885,x45882),x45887))),f862(x45884,f862(f248(x45885,x45882),x45887)))) % 186.59/186.35 [4604]E(f862(f250(x46041,x46042,x46043,x46043,x46044,f25(x46043)),f862(f250(x46045,x46041,x46043,x46043,x46046,f25(x46043)),x46047)),f862(f250(x46045,x46042,x46043,x46043,f862(f66(x46041,x46042,x46045,x46044),x46046),f25(x46043)),x46047)) % 186.59/186.35 [4605]E(f862(f250(x46051,x46051,x46052,x46053,f25(x46051),x46054),f862(f250(x46051,x46051,x46055,x46052,f25(x46051),x46056),x46057)),f862(f250(x46051,x46051,x46055,x46053,f25(x46051),f862(f66(x46052,x46053,x46055,x46054),x46056)),x46057)) % 186.59/186.35 [4615]E(f862(f250(x46151,x46152,x46153,x46153,x46154,f25(x46153)),f862(f250(x46151,x46151,x46155,x46153,f25(x46151),x46156),x46157)),f862(f250(x46152,x46152,x46155,x46153,f25(x46152),x46156),f862(f250(x46151,x46152,x46155,x46155,x46154,f25(x46155)),x46157))) % 186.59/186.35 [4312]E(f862(f862(f280(x43121,x43122,x43123),f862(f862(f280(x43121,x43124,x43122),x43125),x43126)),x43127),f862(f862(f280(x43121,x43124,x43123),x43125),f862(f862(f280(x43124,x43122,x43123),x43126),x43127))) % 186.59/186.35 [4379]E(f862(f862(f249(x43791,x43792,x43793),f862(f66(x43794,f932(x43792,x43793),x43791,x43795),x43796)),x43797),f862(f862(x43795,f862(x43796,f862(f243(x43791,x43792),x43797))),f862(f248(x43791,x43792),x43797))) % 186.59/186.35 [4461]E(f862(f135(x44611,x44612,f862(f9(x44612,x44611,x44611),x44613),x44614),f862(f161(x44612),f862(f862(f147(x44615,x44612),x44616),x44617))),f862(f135(x44611,x44615,f862(f9(x44615,x44611,x44611),f862(f66(x44612,f932(x44611,x44611),x44615,x44613),x44616)),x44614),f862(f161(x44615),x44617))) % 186.59/186.35 [4408]E(f862(f862(f33(x44081,f932(f931(x44082,x44083),a921)),x44084),f862(f862(f10(f932(f931(x44085,x44083),a921),f932(f931(x44082,x44083),a921),x44081),f862(f280(x44082,x44085,x44083),x44086)),x44087)),f862(f862(f280(x44082,x44085,x44083),x44086),f862(f862(f33(x44081,f932(f931(x44085,x44083),a921)),x44084),x44087))) % 186.59/186.35 [4554]E(f862(f862(f33(x45541,f932(f931(x45542,x45543),a921)),x45544),f862(f862(f9(x45541,f932(f931(x45545,x45543),a921),f932(f931(x45542,x45543),a921)),f862(f862(f10(f932(f931(x45542,x45545),a921),f932(f932(f931(x45545,x45543),a921),f932(f931(x45542,x45543),a921)),x45541),f280(x45542,x45545,x45543)),x45546)),x45547)),f862(f862(f280(x45542,x45545,x45543),f862(f862(f33(x45541,f932(f931(x45542,x45545),a921)),x45544),x45546)),x45547)) % 186.59/186.35 [4555]E(f862(f135(x45551,x45552,f862(f862(f9(x45551,f932(x45552,x45553),f932(x45552,x45551)),f862(f862(f10(f932(x45553,x45551),f932(f932(x45552,x45553),f932(x45552,x45551)),x45551),f10(x45553,x45551,x45552)),x45554)),x45555),x45556),x45557),f862(f135(x45551,x45553,x45554,x45556),f862(f862(f147(x45552,x45553),x45555),x45557))) % 186.59/186.35 [4616]E(f862(f862(f32(x46161,f932(x46162,a921)),x46163),f862(f862(f10(f932(x46164,f932(x46162,a921)),f932(x46162,a921),x46161),f862(f32(x46164,f932(x46162,a921)),x46165)),f862(f862(f9(x46161,f932(x46164,f932(x46162,a921)),f932(x46164,f932(x46162,a921))),f862(f862(f10(f932(f932(x46162,a921),f932(x46162,a921)),f932(f932(x46164,f932(x46162,a921)),f932(x46164,f932(x46162,a921))),x46161),f10(f932(x46162,a921),f932(x46162,a921),x46164)),f862(f862(f10(f932(x46162,a921),f932(f932(x46162,a921),f932(x46162,a921)),x46161),f103(f932(x46162,a921))),x46166))),x46167))),f862(f862(f103(f932(x46162,a921)),f862(f862(f32(x46161,f932(x46162,a921)),x46163),x46166)),f862(f862(f32(x46164,f932(x46162,a921)),x46165),x46167))) % 186.59/186.35 [4617]E(f862(f862(f33(x46171,f932(x46172,a921)),x46173),f862(f862(f10(f932(x46174,f932(x46172,a921)),f932(x46172,a921),x46171),f862(f33(x46174,f932(x46172,a921)),x46175)),f862(f862(f9(x46171,f932(x46174,f932(x46172,a921)),f932(x46174,f932(x46172,a921))),f862(f862(f10(f932(f932(x46172,a921),f932(x46172,a921)),f932(f932(x46174,f932(x46172,a921)),f932(x46174,f932(x46172,a921))),x46171),f10(f932(x46172,a921),f932(x46172,a921),x46174)),f862(f862(f10(f932(x46172,a921),f932(f932(x46172,a921),f932(x46172,a921)),x46171),f94(f932(x46172,a921))),x46176))),x46177))),f862(f862(f94(f932(x46172,a921)),f862(f862(f33(x46171,f932(x46172,a921)),x46173),x46176)),f862(f862(f33(x46174,f932(x46172,a921)),x46175),x46177))) % 186.59/186.35 [4609]E(f190(x46091,x46092,f862(f862(f862(x46093,x46094),x46095),x46096),f862(f862(f9(x46091,f931(a92,a92),f932(a92,f926(x46092))),f862(f862(f9(x46091,a92,f932(f931(a92,a92),f932(a92,f926(x46092)))),f862(f862(f9(x46091,a92,f932(a92,f932(f931(a92,a92),f932(a92,f926(x46092))))),x46097),x46094)),x46095)),x46096)),f862(f862(f862(f202(x46091,x46092,x46093,x46097),x46094),x46095),x46096)) % 186.59/186.35 [4623]E(f191(x46231,x46232,f862(f862(f862(x46233,x46234),x46235),x46236),f862(f862(f9(x46231,f931(a92,a92),f932(a92,f926(x46232))),f862(f862(f9(x46231,a92,f932(f931(a92,a92),f932(a92,f926(x46232)))),f862(f862(f9(x46231,a92,f932(a92,f932(f931(a92,a92),f932(a92,f926(x46232))))),x46237),x46234)),x46235)),x46236)),f204(x46231,x46232,x46233,x46237,x46234,x46235,x46236)) % 186.59/186.35 [4614]E(f188(x46141,x46142,f862(f862(f862(x46143,x46144),x46145),x46146),f862(f862(f9(x46141,f931(a92,a92),f932(a92,f926(f928(x46142)))),f862(f862(f9(x46141,a92,f932(f931(a92,a92),f932(a92,f926(f928(x46142))))),f862(f862(f9(x46141,a92,f932(a92,f932(f931(a92,a92),f932(a92,f926(f928(x46142)))))),x46147),x46144)),x46145)),x46146)),f862(f862(f862(f198(x46141,x46142,x46143,x46147),x46144),x46145),x46146)) % 186.59/186.35 [4625]E(f189(x46251,x46252,f862(f862(f862(x46253,x46254),x46255),x46256),f862(f862(f9(x46251,f931(a92,a92),f932(a92,f926(f928(x46252)))),f862(f862(f9(x46251,a92,f932(f931(a92,a92),f932(a92,f926(f928(x46252))))),f862(f862(f9(x46251,a92,f932(a92,f932(f931(a92,a92),f932(a92,f926(f928(x46252)))))),x46257),x46254)),x46255)),x46256)),f200(x46251,x46252,x46253,x46257,x46254,x46255,x46256)) % 186.59/186.35 [4522]E(f862(f250(x45221,x45222,x45223,x45224,x45225,x45226),f862(f862(f244(x45221,x45223),x45227),x45228)),f862(f862(f244(x45222,x45224),f862(x45225,x45227)),f862(x45226,x45228))) % 186.59/186.35 [4627]E(f862(f862(f147(f931(x46271,x46272),f931(x46273,x46274)),f862(f249(x46271,x46272,f931(x46273,x46274)),f862(f862(f9(x46271,f932(x46272,x46274),f932(x46272,f931(x46273,x46274))),f862(f862(f10(f932(x46274,f931(x46273,x46274)),f932(f932(x46272,x46274),f932(x46272,f931(x46273,x46274))),x46271),f10(x46274,f931(x46273,x46274),x46272)),f862(f862(f10(x46273,f932(x46274,f931(x46273,x46274)),x46271),f244(x46273,x46274)),x46275))),x46276))),f862(f862(f174(x46271,x46272),x46277),x46278)),f862(f862(f174(x46273,x46274),f862(f862(f147(x46271,x46273),x46275),x46277)),f862(f862(f147(x46272,x46274),x46276),x46278))) % 186.59/186.35 [4630]E(f862(f862(f147(f931(x46301,x46302),x46303),f862(f249(x46301,x46302,x46303),f862(f862(f10(f932(x46302,f931(x46301,x46304)),f932(x46302,x46303),x46301),f862(f10(f931(x46301,x46304),x46303,x46302),x46305)),f862(f862(f9(x46301,f932(x46302,x46304),f932(x46302,f931(x46301,x46304))),f862(f862(f10(f932(x46304,f931(x46301,x46304)),f932(f932(x46302,x46304),f932(x46302,f931(x46301,x46304))),x46301),f10(x46304,f931(x46301,x46304),x46302)),f244(x46301,x46304))),x46306)))),f862(f862(f174(x46301,x46302),x46307),x46308)),f862(f862(f147(f931(x46301,x46304),x46303),x46305),f862(f862(f174(x46301,x46304),x46307),f862(f862(f147(x46302,x46304),x46306),x46308)))) % 186.59/186.35 [4558]E(f862(f862(f147(f931(x45581,x45582),x45583),f862(f249(x45581,x45582,x45583),f862(f862(f10(f932(x45582,f931(x45584,x45582)),f932(x45582,x45583),x45581),f862(f10(f931(x45584,x45582),x45583,x45582),x45585)),f862(f862(f10(x45584,f932(x45582,f931(x45584,x45582)),x45581),f244(x45584,x45582)),x45586)))),f862(f862(f174(x45581,x45582),x45587),x45588)),f862(f862(f147(f931(x45584,x45582),x45583),x45585),f862(f862(f174(x45584,x45582),f862(f862(f147(x45581,x45584),x45586),x45587)),x45588))) % 186.59/186.35 [4513]E(f862(f862(f249(x45131,x45132,x45133),f862(f862(f10(f932(x45132,f931(x45134,x45135)),f932(x45132,x45133),x45131),f862(f10(f931(x45134,x45135),x45133,x45132),f862(f249(x45134,x45135,x45133),x45136))),x45137)),x45138),f862(f862(f249(x45134,x45135,x45133),x45136),f862(f862(f249(x45131,x45132,f931(x45134,x45135)),x45137),x45138))) % 186.59/186.35 [4631]E(f862(f862(f33(f931(x46311,x46312),f932(f931(x46313,x46314),a921)),f862(f862(f246(x46311,x46312),x46315),f862(f18(f932(x46312,a921),x46311),x46316))),f862(f249(x46311,x46312,f932(f931(x46313,x46314),a921)),f862(f862(f9(x46311,f932(x46312,f932(x46313,f932(x46314,a921))),f932(x46312,f932(f931(x46313,x46314),a921))),f862(f862(f10(f932(f932(x46313,f932(x46314,a921)),f932(f931(x46313,x46314),a921)),f932(f932(x46312,f932(x46313,f932(x46314,a921))),f932(x46312,f932(f931(x46313,x46314),a921))),x46311),f10(f932(x46313,f932(x46314,a921)),f932(f931(x46313,x46314),a921),x46312)),f862(f862(f10(f932(x46313,a921),f932(f932(x46313,f932(x46314,a921)),f932(f931(x46313,x46314),a921)),x46311),f246(x46313,x46314)),x46317))),f862(f862(f10(f932(x46314,a921),f932(x46313,f932(x46314,a921)),x46312),f18(f932(x46314,a921),x46313)),x46318)))),f862(f862(f246(x46313,x46314),f862(f862(f33(x46311,f932(x46313,a921)),x46315),x46317)),f862(f18(f932(x46314,a921),x46313),f862(f862(f33(x46312,f932(x46314,a921)),x46316),x46318)))) % 186.59/186.35 [4572]E(f862(f862(f251(x45721,x45722,x45723,x45724),f862(f862(f251(x45721,x45725,x45726,f931(x45722,x45723)),x45727),x45728)),x45729),f862(f862(f251(x45721,x45725,x45726,x45724),x45727),f862(f862(f9(x45725,f932(x45722,f932(x45723,x45724)),f932(x45726,x45724)),f862(f862(f10(f932(x45726,f931(x45722,x45723)),f932(f932(x45722,f932(x45723,x45724)),f932(x45726,x45724)),x45725),f251(x45726,x45722,x45723,x45724)),x45728)),x45729))) % 186.59/186.35 [4601]E(f862(f66(f931(x46011,x46012),f931(x46013,x46014),f931(x46015,x46016),f250(x46011,x46013,x46012,x46014,x46017,x46018)),f250(x46015,x46011,x46016,x46012,x46019,x460110)),f250(x46015,x46013,x46016,x46014,f862(f66(x46011,x46013,x46015,x46017),x46019),f862(f66(x46012,x46014,x46016,x46018),x460110))) % 186.59/186.35 [4607]E(f862(f250(x46071,x46072,x46073,x46074,x46075,x46076),f862(f250(x46077,x46071,x46078,x46073,x46079,x460710),x460711)),f862(f250(x46077,x46072,x46078,x46074,f862(f66(x46071,x46072,x46077,x46075),x46079),f862(f66(x46073,x46074,x46078,x46076),x460710)),x460711)) % 186.59/186.35 [4774]~P152(x47741,a861)+P152(x47741,a863) % 186.59/186.35 [4744]~P2(x47441)+E(f84(x47441),a317) % 186.59/186.35 [4745]~P60(x47451)+P60(f928(x47451)) % 186.59/186.35 [4746]~P63(x47461)+P63(f928(x47461)) % 186.59/186.35 [4747]~P106(x47471)+P106(f925(x47471)) % 186.59/186.35 [4750]~P145(x47501)+~E(f71(x47501),f2(x47501)) % 186.59/186.35 [4752]~E(x47521,f2(a92))+E(f862(a24,x47521),f2(a1)) % 186.59/186.35 [4753]~E(x47531,f2(a1))+E(f75(a1,x47531),f2(a1)) % 186.59/186.35 [4759]~P147(x47591)+P26(x47591,f2(x47591)) % 186.59/186.35 [4761]~P109(x47611)+P11(x47611,f106(x47611)) % 186.59/186.35 [4770]P1(x47701)+P1(f862(a314,x47701)) % 186.59/186.35 [4826]~P147(x48261)+~P26(x48261,f71(x48261)) % 186.59/186.35 [4864]~P1(x48641)+~P1(f862(a314,x48641)) % 186.59/186.35 [4885]E(f862(a97,x48851),f2(a924))+~P1(f862(a186,x48851)) % 186.59/186.35 [4952]~P69(x49521)+P14(x49521,x49521,f74(x49521)) % 186.59/186.35 [4953]~P103(x49531)+P12(x49531,x49531,f103(x49531)) % 186.59/186.35 [4954]~P104(x49541)+P12(x49541,x49541,f94(x49541)) % 186.59/186.35 [4955]~P100(x49551)+P12(x49551,x49551,f74(x49551)) % 186.59/186.35 [4956]~P109(x49561)+P12(x49561,x49561,f225(x49561)) % 186.59/186.35 [4957]~P109(x49571)+P12(x49571,x49571,f226(x49571)) % 186.59/186.35 [4756]~E(x47561,f2(a924))+E(f862(f93(a1),x47561),f2(a1)) % 186.59/186.35 [4763]~P98(x47631)+E(f862(f96(x47631),a76),f2(x47631)) % 186.59/186.35 [4766]~E(f656(x47661),f2(a924))+E(f862(f158(a924),x47661),f2(a924)) % 186.59/186.35 [4767]~P108(x47671)+E(f229(x47671,f227(x47671)),f225(x47671)) % 186.59/186.35 [4768]~P108(x47681)+E(f230(x47681,f227(x47681)),f226(x47681)) % 186.59/186.35 [4769]~P88(x47691)+E(f75(x47691,f2(x47691)),f2(x47691)) % 186.59/186.35 [4779]~P147(x47791)+E(f862(f93(x47791),f71(a924)),f71(x47791)) % 186.59/186.35 [4780]~P147(x47801)+E(f862(f93(x47801),f2(a924)),f2(x47801)) % 186.59/186.35 [4781]~P142(x47811)+E(f862(f95(x47811),f71(a1)),f71(x47811)) % 186.59/186.35 [4782]~P142(x47821)+E(f862(f95(x47821),f2(a1)),f2(x47821)) % 186.59/186.35 [4783]E(x47831,f2(a924))+~E(f862(f93(a1),x47831),f2(a1)) % 186.59/186.35 [4820]~P96(x48201)+E(f862(f72(x48201),f181(x48201)),f234(x48201)) % 186.59/186.35 [4821]~P96(x48211)+E(f862(f72(x48211),f234(x48211)),f181(x48211)) % 186.59/186.35 [4822]~P68(x48221)+E(f862(f72(x48221),f2(x48221)),f2(x48221)) % 186.59/186.35 [4823]~P112(x48231)+E(f862(f69(x48231),f71(x48231)),f71(x48231)) % 186.59/186.35 [4824]~P86(x48241)+E(f862(f69(x48241),f2(x48241)),f2(x48241)) % 186.59/186.35 [4825]~P81(x48251)+E(f862(f158(x48251),f106(x48251)),f2(x48251)) % 186.59/186.35 [4843]~P34(x48431)+P38(f862(f165(a1),x48431)) % 186.59/186.35 [4869]~P98(x48691)+E(f862(f72(x48691),f71(x48691)),f862(f96(x48691),a90)) % 186.59/186.35 [4884]~P98(x48841)+P26(x48841,f862(f96(x48841),a76)) % 186.59/186.35 [4910]P34(x49101)+~P38(f862(f165(a1),x49101)) % 186.59/186.35 [4958]E(f862(f93(a1),f862(a97,x49581)),x49581)+P1(f862(a186,x49581)) % 186.59/186.35 [5028]~P116(x50281)+E(f237(x50281,f71(x50281),f74(x50281)),f236(x50281)) % 186.59/186.35 [5061]~P98(x50611)+~P26(x50611,f862(f96(x50611),a90)) % 186.59/186.35 [5210]E(f862(f69(a1),x52101),x52101)+P1(f862(f862(f228(a1),x52101),f2(a1))) % 186.59/186.35 [5228]~E(f862(a97,x52281),f2(a924))+P1(f862(f862(f227(a1),x52281),f2(a1))) % 186.59/186.35 [5293]~P1(f862(a186,x52931))+P1(f862(f862(f228(a1),x52931),f2(a1))) % 186.59/186.35 [5333]~P142(x53331)+P1(f862(f862(f321(x53331),f71(x53331)),f102(x53331))) % 186.59/186.35 [5334]~P147(x53341)+P1(f862(f862(f321(x53341),f71(x53341)),f179(x53341))) % 186.59/186.35 [5335]~P142(x53351)+P1(f862(f862(f321(x53351),f2(x53351)),f102(x53351))) % 186.59/186.35 [5336]~P147(x53361)+P1(f862(f862(f321(x53361),f2(x53361)),f179(x53361))) % 186.59/186.35 [5337]~P127(x53371)+P1(f862(f862(f227(x53371),f2(x53371)),f71(x53371))) % 186.59/186.35 [5338]~P127(x53381)+P1(f862(f862(f228(x53381),f2(x53381)),f71(x53381))) % 186.59/186.35 [5392]E(x53921,f2(a924))+~P1(f862(f862(f227(a924),x53921),f2(a924))) % 186.59/186.35 [5435]E(f862(a97,x54351),f2(a924))+~P1(f862(f862(f227(a1),x54351),f2(a1))) % 186.59/186.35 [5493]P1(f862(a186,x54931))+~P1(f862(f862(f228(a1),x54931),f2(a1))) % 186.59/186.35 [5500]~P109(x55001)+P14(x55001,f925(x55001),f141(x55001,x55001,f7(x55001))) % 186.59/186.35 [5518]P38(x55181)+~P1(f862(f862(f227(a1),f2(a1)),f424(x55181))) % 186.59/186.35 [5523]E(f862(f69(a1),x55231),f862(f72(a1),x55231))+~P1(f862(f862(f228(a1),x55231),f2(a1))) % 186.59/186.35 [5694]~P127(x56941)+~P1(f862(f862(f227(x56941),f71(x56941)),f2(x56941))) % 186.59/186.35 [5695]~P127(x56951)+~P1(f862(f862(f228(x56951),f71(x56951)),f2(x56951))) % 186.59/186.35 [5709]~E(x57091,f2(a924))+P1(f862(f862(f227(a1),f862(f93(a1),x57091)),f2(a1))) % 186.59/186.35 [5710]~E(x57101,f2(a1))+P1(f862(f862(f228(a1),f862(f69(a1),x57101)),f71(a1))) % 186.59/186.35 [5835]~P81(x58351)+E(f135(x58351,x58351,f73(x58351),f2(x58351)),f158(x58351)) % 186.59/186.35 [6009]~P105(x60091)+P22(a924,x60091,f93(x60091),f234(f932(a924,a921))) % 186.59/186.35 [6216]E(x62161,f2(a924))+~P1(f862(f862(f227(a1),f862(f93(a1),x62161)),f2(a1))) % 186.59/186.35 [6217]E(x62171,f2(a1))+~P1(f862(f862(f228(a1),f862(f69(a1),x62171)),f71(a1))) % 186.59/186.35 [7033]~P1(f862(f862(f228(a1),x70331),f2(a1)))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x70331),x70331)),f2(a1))) % 186.59/186.35 [7592]P1(f862(f862(f228(a1),x75921),f2(a1)))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),x75921),x75921)),f2(a1))) % 186.59/186.35 [8141]E(x81411,f862(a5,f2(a924)))+P1(f862(f862(f228(a924),f862(f862(f3(a924),f862(a22,x81411)),f862(a105,f2(a924)))),f862(a22,x81411))) % 186.59/186.35 [8914]~P1(f862(f862(f228(a1),x89141),f2(a1)))+P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x89141),x89141)),a90)),f2(a1))) % 186.59/186.35 [9011]~P1(f862(f862(f228(a1),x90111),f2(a1)))+P1(f862(f862(f228(a1),f862(f862(f73(a1),f862(f862(f73(a1),f71(a1)),x90111)),x90111)),f2(a1))) % 186.59/186.35 [9333]P1(f862(f862(f228(a1),x93331),f2(a1)))+~P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93331),x93331)),a90)),f2(a1))) % 186.59/186.35 [9394]P1(f862(f862(f228(a1),x93941),f2(a1)))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),f862(f862(f73(a1),f71(a1)),x93941)),x93941)),f2(a1))) % 186.59/186.35 [4858]~E(a76,x48581)+E(f862(f862(f73(a1),x48581),x48581),a76) % 186.59/186.35 [4859]~E(x48591,a76)+E(f862(f862(f73(a1),x48591),x48591),a76) % 186.59/186.35 [4870]E(x48701,f2(a1))+E(f862(f862(f29(a1),x48701),x48701),f71(a1)) % 186.59/186.35 [5005]E(x50051,a76)+~E(f862(f862(f73(a1),x50051),x50051),a76) % 186.59/186.35 [5006]E(a76,x50061)+~E(f862(f862(f73(a1),x50061),x50061),a76) % 186.59/186.35 [5018]~P3(x50181)+E(f31(x50181,f181(f932(x50181,a921))),f234(x50181)) % 186.59/186.35 [5019]~P3(x50191)+E(f31(x50191,f234(f932(x50191,a921))),f181(x50191)) % 186.59/186.35 [5020]~P3(x50201)+E(f30(x50201,f181(f932(x50201,a921))),f181(x50201)) % 186.59/186.35 [5021]~P3(x50211)+E(f30(x50211,f234(f932(x50211,a921))),f234(x50211)) % 186.59/186.35 [5022]~P109(x50221)+E(f132(x50221,f181(f932(x50221,a921))),f106(x50221)) % 186.59/186.35 [5164]E(x51641,f2(a924))+P1(f862(f862(f228(a924),f2(a924)),x51641)) % 186.59/186.35 [5184]~P4(x51841)+P1(f862(f862(f227(a1),f2(a1)),x51841)) % 186.59/186.35 [5219]~E(f862(f96(a924),x52191),f2(a924))+P1(f862(f862(f227(a1),x52191),a76)) % 186.59/186.35 [5224]P38(x52241)+P1(f862(f862(f321(a1),f424(x52241)),x52241)) % 186.59/186.35 [5225]E(x52251,f862(a5,f2(a924)))+P1(f862(f862(f227(a92),f71(a92)),x52251)) % 186.59/186.35 [5266]P1(f862(a186,x52661))+P1(f862(f862(f227(a1),f2(a1)),x52661)) % 186.59/186.35 [5315]E(f862(f93(a1),f862(a97,x53151)),f2(a1))+P1(f862(f862(f227(a1),f2(a1)),x53151)) % 186.59/186.35 [5372]E(f862(f93(a1),f862(f96(a924),x53721)),f862(f96(a1),x53721))+P1(f862(a186,f862(f96(a1),x53721))) % 186.59/186.35 [5398]E(f862(f96(a924),x53981),f2(a924))+~P1(f862(a186,f862(f96(a1),x53981))) % 186.59/186.35 [5399]E(f862(f96(a924),x53991),f2(a924))+~P1(f862(f862(f227(a1),x53991),a76)) % 186.59/186.35 [5432]P4(x54321)+~P1(f862(f862(f227(a1),f2(a1)),x54321)) % 186.59/186.35 [5469]~E(x54691,f862(a105,f2(a924)))+P1(f862(f862(f278(a924),x54691),f862(a105,f2(a924)))) % 186.59/186.35 [5503]E(f862(a105,f328(x55031)),x55031)+~P1(f862(f862(f228(a924),f2(a924)),x55031)) % 186.59/186.35 [5512]E(f862(a105,f862(f96(a924),x55121)),f71(a924))+~P1(f862(a186,f862(f96(a1),x55121))) % 186.59/186.35 [5519]E(f862(f93(a1),f432(x55191)),x55191)+~P1(f862(f862(f228(a1),f2(a1)),x55191)) % 186.59/186.35 [5526]~E(x55261,f862(a5,f2(a924)))+~P1(f862(f862(f227(a92),f71(a92)),x55261)) % 186.59/186.35 [5533]E(f862(f93(a1),f862(f96(a924),x55331)),f2(a1))+~P1(f862(a186,f862(f96(a1),x55331))) % 186.59/186.35 [5560]E(f862(f158(a924),x55601),f2(a924))+P1(f862(f862(f321(a924),f656(x55601)),f862(f165(a924),x55601))) % 186.59/186.35 [5580]E(f862(f93(a1),f862(a97,x55801)),x55801)+~P1(f862(f862(f227(a1),f2(a1)),x55801)) % 186.59/186.35 [5588]~P1(f862(a186,x55881))+~P1(f862(f862(f227(a1),f2(a1)),x55881)) % 186.59/186.35 [5687]E(f862(f862(f73(a924),f71(a924)),f862(f96(a924),x56871)),f71(a924))+~P1(f862(f862(f228(a1),x56871),a76)) % 186.59/186.35 [5753]E(x57531,f2(a924))+~P1(f862(f862(f228(a924),x57531),f862(a105,f2(a924)))) % 186.59/186.35 [5776]E(x57761,f862(a105,f2(a924)))+~P1(f862(f862(f278(a924),x57761),f862(a105,f2(a924)))) % 186.59/186.35 [5794]E(f862(f862(f3(a924),f862(f96(a924),x57941)),f71(a924)),f2(a924))+~P1(f862(f862(f227(a1),x57941),a76)) % 186.59/186.35 [5795]E(f862(f862(f73(a924),f862(f96(a924),x57951)),f71(a924)),f71(a924))+~P1(f862(f862(f228(a1),x57951),a76)) % 186.59/186.35 [5807]~P38(x58071)+E(f862(f28(a924),f862(f302(a1,a924,a97),x58071)),f862(f28(a1),x58071)) % 186.59/186.35 [5836]~P109(x58361)+E(f229(x58361,f862(f9(x58361,x58361,a921),f227(x58361))),f226(x58361)) % 186.59/186.35 [5837]~P109(x58371)+E(f230(x58371,f862(f9(x58371,x58371,a921),f227(x58371))),f225(x58371)) % 186.59/186.35 [5847]E(f38(a924,f862(a105,f2(a924)),f862(f96(a924),x58471)),f862(a105,f2(a924)))+~P1(f862(a186,f862(f96(a1),x58471))) % 186.59/186.35 [5856]~P1(f862(f862(f228(a1),f2(a1)),x58561))+P1(f862(f862(f227(a1),f71(a1)),x58561)) % 186.59/186.35 [5857]P1(f862(f862(f228(a1),f2(a1)),x58571))+~P1(f862(f862(f227(a1),f71(a1)),x58571)) % 186.59/186.35 [5868]E(f862(a105,f862(f862(f3(a924),x58681),f71(a924))),x58681)+~P1(f862(f862(f228(a924),f2(a924)),x58681)) % 186.59/186.35 [5924]P1(f862(f862(f228(a924),f2(a924)),f432(x59241)))+~P1(f862(f862(f228(a1),f2(a1)),x59241)) % 186.59/186.35 [5985]E(f38(a1,f862(f96(a1),a90),x59851),f862(f862(f3(a1),x59851),f71(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x59851)) % 186.59/186.35 [6022]~P1(f862(f862(f228(a1),a76),x60221))+P1(f862(f862(f228(a924),f2(a924)),f862(f96(a924),x60221))) % 186.59/186.35 [6027]E(f862(a22,f814(x60271)),x60271)+~P1(f862(f862(f321(a924),x60271),f234(f932(a924,a921)))) % 186.59/186.35 [6080]P1(f862(f862(f228(a924),f2(a924)),f862(a97,x60801)))+~P1(f862(f862(f228(a1),f2(a1)),x60801)) % 186.59/186.35 [6130]~P1(f862(f862(f228(a924),f2(a924)),x61301))+P1(f862(f862(f228(a1),f2(a1)),f862(f93(a1),x61301))) % 186.59/186.35 [6166]~P1(f862(f862(f228(a924),f2(a924)),f862(a97,x61661)))+P1(f862(f862(f228(a1),f2(a1)),x61661)) % 186.59/186.35 [6181]~P38(x61811)+E(f862(f302(a924,a1,f93(a1)),f862(f302(a1,a924,a97),x61811)),x61811) % 186.59/186.35 [6194]P1(f862(f862(f228(a1),a76),x61941))+~P1(f862(f862(f228(a924),f2(a924)),f862(f96(a924),x61941))) % 186.59/186.35 [6254]P1(f862(f862(f228(a924),f2(a924)),x62541))+~P1(f862(f862(f228(a1),f2(a1)),f862(f93(a1),x62541))) % 186.59/186.35 [6371]E(f862(f302(a924,a1,f93(a1)),f862(f292(a924),f862(a97,x63711))),f862(f295(a1,f2(a1)),x63711))+~P1(f862(f862(f227(a1),f2(a1)),x63711)) % 186.59/186.35 [6388]~P127(x63881)+P1(f862(f862(f228(x63881),f2(x63881)),f862(f862(f73(x63881),f71(x63881)),f71(x63881)))) % 186.59/186.35 [6438]P1(f862(f862(f228(a924),f862(a105,f2(a924))),f862(a97,x64381)))+~P1(f862(f862(f228(a1),f71(a1)),x64381)) % 186.59/186.35 [6541]E(x65411,f2(a1))+P1(f862(f42(f2(a1),x65411),f862(f862(f244(a1,a1),f2(a1)),f2(a1)))) % 186.59/186.35 [6711]~P1(f862(f862(f228(a924),f862(a105,f2(a924))),f862(a97,x67111)))+P1(f862(f862(f228(a1),f71(a1)),x67111)) % 186.59/186.35 [7148]~P117(x71481)+P35(x71481,f862(f254(f931(x71481,x71481)),f862(f249(x71481,x71481,a921),f228(x71481)))) % 186.59/186.35 [5740]E(f862(f96(a924),f862(f862(f3(a1),x57401),a90)),f862(a105,f862(f96(a924),x57401)))+P1(f862(a186,f862(f96(a1),x57401))) % 186.59/186.35 [5756]~P34(x57561)+E(f862(f862(f147(a924,a1),f93(a1)),f862(f862(f147(a1,a924),a97),x57561)),x57561) % 186.59/186.35 [5874]E(f862(f72(a1),f862(f93(a1),f862(a105,f419(x58741)))),x58741)+~P1(f862(f862(f228(a1),x58741),f2(a1))) % 186.59/186.35 [5884]E(f862(f862(f73(a924),f71(a924)),f862(f96(a924),x58841)),f862(f96(a924),f862(f862(f3(a1),x58841),a90)))+P1(f862(f862(f228(a1),x58841),a76)) % 186.59/186.35 [5926]E(f862(f862(f29(a1),f862(f96(a1),a90)),x59261),f862(f96(a1),a90))+~P1(f862(f862(f228(a1),f2(a1)),x59261)) % 186.59/186.35 [6018]E(f862(f862(f3(a924),f862(f96(a924),x60181)),f71(a924)),f862(f96(a924),f862(f862(f73(a1),x60181),a90)))+P1(f862(f862(f227(a1),x60181),a76)) % 186.59/186.35 [6019]E(f862(f862(f73(a924),f862(f96(a924),x60191)),f71(a924)),f862(f96(a924),f862(f862(f3(a1),x60191),a90)))+P1(f862(f862(f228(a1),x60191),a76)) % 186.59/186.35 [6065]E(f862(a97,f862(f862(f73(a1),f71(a1)),x60651)),f862(a105,f862(a97,x60651)))+~P1(f862(f862(f227(a1),f2(a1)),x60651)) % 186.59/186.35 [6101]E(f862(a105,f862(f862(f3(a924),x61011),f862(a105,f2(a924)))),x61011)+~P1(f862(f862(f228(a924),f2(a924)),x61011)) % 186.59/186.35 [6319]E(f38(a924,f862(a105,f2(a924)),f862(f96(a924),x63191)),f862(a97,f38(a1,f71(a1),f862(f96(a1),x63191))))+P1(f862(a186,f862(f96(a1),x63191))) % 186.59/186.35 [6363]~P1(f862(f862(f84(a1),a76),x63631))+P1(f862(f862(f84(a1),a76),f862(f862(f73(a1),x63631),x63631))) % 186.59/186.35 [6364]~P1(f862(f862(f228(a1),a90),x63641))+P1(f862(f862(f227(a1),a90),f862(f862(f73(a1),x63641),x63641))) % 186.59/186.35 [6365]~P1(f862(f862(f227(a1),a76),x63651))+P1(f862(f862(f227(a1),a76),f862(f862(f73(a1),x63651),x63651))) % 186.59/186.35 [6366]~P1(f862(f862(f228(a1),a90),x63661))+P1(f862(f862(f228(a1),a90),f862(f862(f73(a1),x63661),x63661))) % 186.59/186.35 [6367]~P1(f862(f862(f228(a1),a76),x63671))+P1(f862(f862(f228(a1),a76),f862(f862(f73(a1),x63671),x63671))) % 186.59/186.35 [6554]~P1(f862(f54(x65541),f234(f932(x65541,a921))))+P1(f862(f54(f928(x65541)),f234(f932(f928(x65541),a921)))) % 186.59/186.35 [6640]~P1(f862(f862(f227(a1),f2(a1)),x66401))+P1(f862(f862(f228(a1),f2(a1)),f862(f862(f73(a1),f71(a1)),x66401))) % 186.59/186.35 [6647]E(f862(f243(a1,a1),f40(f71(a1),f862(f96(a1),x66471))),f862(f862(f29(a1),f71(a1)),f862(f96(a1),x66471)))+~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x66471))) % 186.59/186.35 [6670]E(f862(f248(a1,a1),f40(f71(a1),f862(f96(a1),x66701))),f38(a1,f71(a1),f862(f96(a1),x66701)))+~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x66701))) % 186.59/186.35 [6682]P1(f862(f54(x66821),f234(f932(x66821,a921))))+~P1(f862(f54(f928(x66821)),f234(f932(f928(x66821),a921)))) % 186.59/186.35 [6712]P1(f862(f862(f84(a1),a76),x67121))+~P1(f862(f862(f84(a1),a76),f862(f862(f73(a1),x67121),x67121))) % 186.59/186.35 [6713]P1(f862(f862(f227(a1),a76),x67131))+~P1(f862(f862(f227(a1),a76),f862(f862(f73(a1),x67131),x67131))) % 186.59/186.35 [6714]P1(f862(f862(f228(a1),a90),x67141))+~P1(f862(f862(f227(a1),a90),f862(f862(f73(a1),x67141),x67141))) % 186.59/186.35 [6715]P1(f862(f862(f228(a1),a90),x67151))+~P1(f862(f862(f228(a1),a90),f862(f862(f73(a1),x67151),x67151))) % 186.59/186.35 [6716]P1(f862(f862(f228(a1),a76),x67161))+~P1(f862(f862(f228(a1),a76),f862(f862(f73(a1),x67161),x67161))) % 186.59/186.35 [7037]~P1(f862(f54(x70371),f234(f932(x70371,a921))))+P1(f862(f862(f228(a924),f2(a924)),f862(f28(x70371),f234(f932(x70371,a921))))) % 186.59/186.35 [7630]P1(f862(f54(a924),x76301))+~P1(f862(f54(a1),f862(f302(a924,a1,f93(a1)),x76301))) % 186.59/186.35 [5663]~E(a90,x56631)+E(f862(f862(f3(a1),f862(f862(f73(a1),x56631),x56631)),a90),a90) % 186.59/186.35 [5664]~E(x56641,a90)+E(f862(f862(f3(a1),f862(f862(f73(a1),x56641),x56641)),a90),a90) % 186.59/186.35 [6189]E(x61891,a90)+~E(f862(f862(f3(a1),f862(f862(f73(a1),x61891),x61891)),a90),a90) % 186.59/186.35 [6190]E(a90,x61901)+~E(f862(f862(f3(a1),f862(f862(f73(a1),x61901),x61901)),a90),a90) % 186.59/186.35 [6609]~E(f862(f96(a924),x66091),f2(a924))+P1(f862(a186,f862(f96(a1),f862(f862(f73(a1),x66091),a90)))) % 186.59/186.35 [6966]~P1(f862(a186,f862(f96(a1),x69661)))+P1(f862(a186,f862(f96(a1),f862(f862(f73(a1),x69661),x69661)))) % 186.59/186.35 [6967]~P1(f862(f862(f84(a1),x69671),a76))+P1(f862(f862(f84(a1),f862(f862(f73(a1),x69671),x69671)),a76)) % 186.59/186.35 [6968]~P1(f862(f862(f227(a1),x69681),a90))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x69681),x69681)),a90)) % 186.59/186.35 [6969]~P1(f862(f862(f227(a1),x69691),a76))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x69691),x69691)),a76)) % 186.59/186.35 [6970]~P1(f862(f862(f227(a1),x69701),a90))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x69701),x69701)),a90)) % 186.59/186.35 [6971]~P1(f862(f862(f228(a1),x69711),a76))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x69711),x69711)),a76)) % 186.59/186.35 [7293]E(f862(f96(a924),x72931),f2(a924))+~P1(f862(a186,f862(f96(a1),f862(f862(f73(a1),x72931),a90)))) % 186.59/186.35 [7546]~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x75461)))+P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),f862(f862(f73(a1),x75461),x75461)))) % 186.59/186.35 [7547]P1(f862(a186,f862(f96(a1),x75471)))+~P1(f862(a186,f862(f96(a1),f862(f862(f73(a1),x75471),x75471)))) % 186.59/186.35 [7548]P1(f862(f862(f84(a1),x75481),a76))+~P1(f862(f862(f84(a1),f862(f862(f73(a1),x75481),x75481)),a76)) % 186.59/186.35 [7549]P1(f862(f862(f227(a1),x75491),a90))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x75491),x75491)),a90)) % 186.59/186.35 [7550]P1(f862(f862(f227(a1),x75501),a90))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),x75501),x75501)),a90)) % 186.59/186.35 [7551]P1(f862(f862(f227(a1),x75511),a76))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x75511),x75511)),a76)) % 186.59/186.35 [7552]P1(f862(f862(f228(a1),x75521),a76))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),x75521),x75521)),a76)) % 186.59/186.35 [7910]E(f862(a100,f567(x79101)),x79101)+~P1(f862(f862(f321(f932(f931(a924,a924),a921)),x79101),a91)) % 186.59/186.35 [6528]~P98(x65281)+E(f862(f96(x65281),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f71(x65281)) % 186.59/186.35 [7017]~P1(f862(a186,f862(f96(a1),x70171)))+E(f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),x70171),x70171)),a90)),f2(a924)) % 186.59/186.35 [8085]~P1(f862(f862(f228(a1),f862(f96(a1),x80851)),f2(a1)))+E(f862(f243(a1,a1),f862(a44,f43(f862(f72(a1),f71(a1)),f862(f72(a1),f862(f96(a1),x80851))))),f862(f862(f29(a1),f71(a1)),f862(f96(a1),x80851))) % 186.59/186.35 [8099]~P1(f862(f862(f228(a1),f862(f96(a1),x80991)),f2(a1)))+E(f862(f248(a1,a1),f862(a44,f43(f862(f72(a1),f71(a1)),f862(f72(a1),f862(f96(a1),x80991))))),f38(a1,f71(a1),f862(f96(a1),x80991))) % 186.59/186.35 [8148]~P1(f862(f862(f84(a1),a90),x81481))+P1(f862(f862(f84(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x81481),x81481)),a90))) % 186.59/186.35 [8149]~P1(f862(f862(f227(a1),a90),x81491))+P1(f862(f862(f227(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x81491),x81491)),a90))) % 186.59/186.35 [8150]~P1(f862(f862(f227(a1),a76),x81501))+P1(f862(f862(f227(a1),a76),f862(f862(f3(a1),f862(f862(f73(a1),x81501),x81501)),a90))) % 186.59/186.35 [8151]~P1(f862(f862(f228(a1),a90),x81511))+P1(f862(f862(f228(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x81511),x81511)),a90))) % 186.59/186.35 [8152]~P1(f862(f862(f227(a1),a76),x81521))+P1(f862(f862(f228(a1),a76),f862(f862(f3(a1),f862(f862(f73(a1),x81521),x81521)),a90))) % 186.59/186.35 [8453]~P98(x84531)+~P26(x84531,f862(f96(x84531),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))) % 186.59/186.35 [8635]P1(f862(f862(f84(a1),a90),x86351))+~P1(f862(f862(f84(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x86351),x86351)),a90))) % 186.59/186.35 [8636]P1(f862(f862(f227(a1),a90),x86361))+~P1(f862(f862(f227(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x86361),x86361)),a90))) % 186.59/186.35 [8637]P1(f862(f862(f227(a1),a76),x86371))+~P1(f862(f862(f227(a1),a76),f862(f862(f3(a1),f862(f862(f73(a1),x86371),x86371)),a90))) % 186.59/186.35 [8638]P1(f862(f862(f227(a1),a76),x86381))+~P1(f862(f862(f228(a1),a76),f862(f862(f3(a1),f862(f862(f73(a1),x86381),x86381)),a90))) % 186.59/186.35 [8639]P1(f862(f862(f228(a1),a90),x86391))+~P1(f862(f862(f228(a1),a90),f862(f862(f3(a1),f862(f862(f73(a1),x86391),x86391)),a90))) % 186.59/186.35 [8961]E(f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),x89611),x89611)),a90)),f862(f862(f79(a924,a924),f862(f96(a924),x89611)),f862(f862(f10(a924,a924,a924),a105),f862(f862(f20(a924,a924,a924),f73(a924)),f7(a924)))))+P1(f862(a186,f862(f96(a1),x89611))) % 186.59/186.35 [9830]E(x98301,f181(f932(f931(a924,a924),a921)))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x98301),f181(f932(f931(a924,a924),a921)))),a62)) % 186.59/186.35 [8887]~P1(f862(a186,f862(f96(a1),x88871)))+P1(f862(a186,f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x88871),x88871)),a90)))) % 186.59/186.35 [8888]~P1(f862(f862(f84(a1),x88881),a90))+P1(f862(f862(f84(a1),f862(f862(f3(a1),f862(f862(f73(a1),x88881),x88881)),a90)),a90)) % 186.59/186.35 [8889]~P1(f862(f862(f227(a1),x88891),a90))+P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x88891),x88891)),a90)),a90)) % 186.59/186.35 [8890]~P1(f862(f862(f228(a1),x88901),a76))+P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x88901),x88901)),a90)),a76)) % 186.59/186.35 [8891]~P1(f862(f862(f228(a1),x88911),a90))+P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x88911),x88911)),a90)),a90)) % 186.59/186.35 [8892]~P1(f862(f862(f228(a1),x88921),a76))+P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x88921),x88921)),a90)),a76)) % 186.59/186.35 [9002]~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x90021)))+P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x90021),x90021)),a90)))) % 186.59/186.35 [9162]~P98(x91621)+E(f862(f862(f73(x91621),f71(x91621)),f71(x91621)),f862(f96(x91621),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))) % 186.59/186.35 [9316]P1(f862(a186,f862(f96(a1),x93161)))+~P1(f862(a186,f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93161),x93161)),a90)))) % 186.59/186.35 [9317]P1(f862(f862(f84(a1),x93171),a90))+~P1(f862(f862(f84(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93171),x93171)),a90)),a90)) % 186.59/186.35 [9318]P1(f862(f862(f227(a1),x93181),a90))+~P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93181),x93181)),a90)),a90)) % 186.59/186.35 [9319]P1(f862(f862(f228(a1),x93191),a90))+~P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93191),x93191)),a90)),a90)) % 186.59/186.35 [9320]P1(f862(f862(f228(a1),x93201),a76))+~P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93201),x93201)),a90)),a76)) % 186.59/186.35 [9321]P1(f862(f862(f228(a1),x93211),a76))+~P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93211),x93211)),a90)),a76)) % 186.59/186.35 [9875]~P1(f862(f54(f931(a924,a924)),x98751))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),f181(f932(f931(a924,a924),a921))),x98751)),a63)) % 186.59/186.35 [9654]~P147(x96541)+E(f862(f862(f236(x96541),f71(x96541)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f71(x96541)) % 186.59/186.35 [9655]~P147(x96551)+E(f862(f862(f236(x96551),f2(x96551)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f2(x96551)) % 186.59/186.35 [10104]~P1(f862(f862(f228(a924),f71(a924)),x101041))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f29(a924),x101041),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.35 [10110]~P1(f862(f862(f228(a924),f2(a924)),x101101))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f29(a924),f862(f862(f73(a924),x101101),f71(a924))),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.35 [10148]~E(f38(a924,x101481,f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f71(a924))+P1(f862(f862(f228(a924),f2(a924)),f38(a924,x101481,f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.35 [10178]E(f38(a924,x101781,f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f71(a924))+~P1(f862(f862(f228(a924),f2(a924)),f38(a924,x101781,f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.35 [4787]~P35(x47871,x47872)+P55(x47871,x47872) % 186.59/186.35 [4788]~P41(x47881,x47882)+P55(x47881,x47882) % 186.59/186.35 [4790]~P5(x47901,x47902)+P46(x47901,x47902) % 186.59/186.35 [4792]~P5(x47921,x47922)+P47(x47921,x47922) % 186.59/186.35 [4794]~P13(x47941,x47942)+P47(x47941,x47942) % 186.59/186.35 [4796]~P5(x47961,x47962)+P48(x47961,x47962) % 186.59/186.35 [4798]~P13(x47981,x47982)+P48(x47981,x47982) % 186.59/186.35 [4799]~P5(x47991,x47992)+P13(x47991,x47992) % 186.59/186.35 [4800]~P150(x48001,x48002)+P151(x48001,x48002) % 186.59/186.35 [4748]~E(x47481,x47482)+E(f261(x47481,x47482),f71(a92)) % 186.59/186.35 [4751]E(f209(x47511,x47512),x47511)+~E(x47512,f2(a924)) % 186.59/186.35 [4758]~E(x47582,f106(x47581))+E(f145(x47581,x47582),f106(x47581)) % 186.59/186.35 [4778]~E(f145(x47782,x47781),f106(x47782))+E(x47781,f106(x47782)) % 186.59/186.35 [4804]~P3(x48042)+P3(f932(x48041,x48042)) % 186.59/186.35 [4805]~P91(x48052)+P91(f932(x48051,x48052)) % 186.59/186.35 [4806]~P111(x48062)+P111(f932(x48061,x48062)) % 186.59/186.35 [4807]~P92(x48072)+P92(f932(x48071,x48072)) % 186.59/186.35 [4808]~P108(x48082)+P108(f932(x48081,x48082)) % 186.59/186.35 [4809]~P110(x48092)+P110(f932(x48091,x48092)) % 186.59/186.35 [4810]~P93(x48102)+P93(f932(x48101,x48102)) % 186.59/186.35 [4811]~P58(x48112)+P58(f932(x48111,x48112)) % 186.59/186.35 [4812]~P101(x48122)+P94(f932(x48121,x48122)) % 186.59/186.35 [4813]~P93(x48132)+P103(f932(x48131,x48132)) % 186.59/186.35 [4814]~P93(x48142)+P104(f932(x48141,x48142)) % 186.59/186.35 [4815]~P101(x48152)+P95(f932(x48151,x48152)) % 186.59/186.35 [4816]~P102(x48162)+P102(f932(x48161,x48162)) % 186.59/186.35 [4817]~P96(x48172)+P96(f932(x48171,x48172)) % 186.59/186.35 [4818]~P82(x48182)+P82(f932(x48181,x48182)) % 186.59/186.35 [4819]~P101(x48192)+P101(f932(x48191,x48192)) % 186.59/186.35 [4832]E(x48321,x48322)+~E(f862(a105,x48321),f862(a105,x48322)) % 186.59/186.35 [4833]E(x48331,x48332)+~E(f862(a100,x48331),f862(a100,x48332)) % 186.59/186.35 [4834]E(x48341,x48342)+~E(f862(a5,x48341),f862(a5,x48342)) % 186.59/186.35 [4836]E(x48361,x48362)+~E(f862(a22,x48361),f862(a22,x48362)) % 186.59/186.35 [4886]P37(x48861,x48862)+~E(f712(x48862,x48861),f713(x48862,x48861)) % 186.59/186.35 [4916]~P55(x49161,x49162)+P37(x49161,f299(x49161,x49162)) % 186.59/186.35 [4917]~P49(x49171,x49172)+P49(x49171,f299(x49171,x49172)) % 186.59/186.35 [4931]~P61(x49311)+E(f38(x49311,x49312,x49312),f2(x49311)) % 186.59/186.35 [4965]~P35(x49651,x49652)+P35(f925(x49651),f139(x49651,x49652)) % 186.59/186.35 [4966]~P35(x49661,x49662)+P35(f925(x49661),f138(x49661,x49662)) % 186.59/186.35 [4967]~P36(x49671,x49672)+P36(f925(x49671),f140(x49671,x49672)) % 186.59/186.35 [4968]~P36(x49681,x49682)+P36(f925(x49681),f151(x49681,x49682)) % 186.59/186.35 [4969]~P49(x49691,x49692)+P49(f925(x49691),f151(x49691,x49692)) % 186.59/186.35 [5066]~P35(x50661,x50662)+P35(f932(x50661,a921),f310(x50661,x50662)) % 186.59/186.35 [5067]~P35(x50671,x50672)+P35(f932(x50671,a921),f312(x50671,x50672)) % 186.59/186.35 [5193]~P4(x51931)+P38(f296(a1,x51931,x51932)) % 186.59/186.35 [5296]~P35(x52961,x52962)+P57(x52961,f60(x52961,x52961,x52962)) % 186.59/186.35 [5801]~P78(x58011)+P22(x58011,x58011,f72(x58011),x58012) % 186.59/186.35 [4772]~E(x47722,f106(x47721))+E(f862(f160(x47721),x47722),f106(x47721)) % 186.59/186.35 [4773]~E(x47732,f106(x47731))+E(f862(f161(x47731),x47732),f106(x47731)) % 186.59/186.35 [4838]E(x48381,f862(a97,x48382))+~E(f862(f93(a1),x48381),x48382) % 186.59/186.35 [4841]E(x48411,f106(x48412))+~E(f862(f160(x48412),x48411),f106(x48412)) % 186.59/186.35 [4842]E(x48421,f106(x48422))+~E(f862(f161(x48422),x48421),f106(x48422)) % 186.59/186.35 [4855]~P98(x48551)+E(f862(f96(x48551),x48552),f862(f95(x48551),x48552)) % 186.59/186.35 [4863]~P60(x48631)+P1(f862(f54(x48631),x48632)) % 186.59/186.35 [4871]~E(f672(x48712,x48711),f106(x48711))+E(f172(x48711,x48712),f106(f925(x48711))) % 186.59/186.35 [4880]~E(x48802,f106(x48801))+E(f862(f165(x48801),x48802),f181(f932(x48801,a921))) % 186.59/186.35 [4881]~E(x48812,f106(x48811))+E(f181(f932(x48811,a921)),f862(f165(x48811),x48812)) % 186.59/186.35 [4883]E(x48831,x48832)+~E(f862(f93(a1),x48831),f862(f93(a1),x48832)) % 186.59/186.35 [4887]E(f207(x48871,x48872),f2(a924))+P1(f862(f54(x48871),x48872)) % 186.59/186.35 [4905]~P112(x49051)+E(f75(x49051,f75(x49051,x49052)),f75(x49051,x49052)) % 186.59/186.35 [4919]~P119(x49191)+E(f862(f862(f236(x49191),x49192),f71(a924)),x49192) % 186.59/186.35 [4920]~P80(x49201)+E(f862(f862(f236(x49201),x49202),f71(a924)),x49202) % 186.59/186.35 [4921]~P49(x49211,x49212)+E(f862(f277(x49211,x49211),x49212),x49212) % 186.59/186.35 [4925]E(x49251,x49252)+E(f261(x49251,x49252),f862(f862(f73(a92),x49252),f71(a92))) % 186.59/186.35 [4928]E(f862(f28(x49281),x49282),f2(a924))+P1(f862(f54(x49281),x49282)) % 186.59/186.35 [4932]~E(f145(x49321,x49322),x49322)+P1(f862(f130(x49321),x49322)) % 186.59/186.35 [4935]~P95(x49351)+E(f862(f862(f103(x49351),x49352),f181(x49351)),x49352) % 186.59/186.35 [4936]~P94(x49361)+E(f862(f862(f94(x49361),x49362),f234(x49361)),x49362) % 186.59/186.35 [4937]~P68(x49371)+E(f862(f862(f3(x49371),x49372),f2(x49371)),x49372) % 186.59/186.35 [4938]~P71(x49381)+E(f862(f862(f74(x49381),x49382),f71(x49381)),x49382) % 186.59/186.35 [4939]~P119(x49391)+E(f862(f862(f74(x49391),x49392),f71(x49391)),x49392) % 186.59/186.35 [4940]~P80(x49401)+E(f862(f862(f74(x49401),x49402),f71(x49401)),x49402) % 186.59/186.35 [4941]~P72(x49411)+E(f862(f862(f73(x49411),x49412),f2(x49411)),x49412) % 186.59/186.35 [4942]~P119(x49421)+E(f862(f862(f73(x49421),x49422),f2(x49421)),x49422) % 186.59/186.35 [4943]~P81(x49431)+E(f862(f862(f73(x49431),x49432),f2(x49431)),x49432) % 186.59/186.35 [4944]~P121(x49441)+E(f862(f862(f282(x49441),x49442),f71(x49441)),x49442) % 186.59/186.35 [4945]~P61(x49451)+E(f862(f862(f29(x49451),x49452),f71(x49451)),x49452) % 186.59/186.35 [4946]~P119(x49461)+E(f862(f862(f236(x49461),x49462),f2(a924)),f71(x49461)) % 186.59/186.35 [4947]~P116(x49471)+E(f862(f862(f236(x49471),x49472),f2(a924)),f71(x49471)) % 186.59/186.35 [4948]~E(x49482,f181(f932(x49481,a921)))+E(f862(f28(x49481),x49482),f2(a924)) % 186.59/186.35 [4959]~P61(x49591)+E(f38(x49591,x49592,f2(x49591)),x49592) % 186.59/186.35 [4970]~P94(x49701)+E(f862(f862(f103(x49701),x49702),f234(x49701)),f234(x49701)) % 186.59/186.35 [4971]~P95(x49711)+E(f862(f862(f94(x49711),x49712),f181(x49711)),f181(x49711)) % 186.59/186.35 [4972]~P119(x49721)+E(f862(f862(f74(x49721),x49722),f2(x49721)),f2(x49721)) % 186.59/186.35 [4973]~P134(x49731)+E(f862(f862(f74(x49731),x49732),f2(x49731)),f2(x49731)) % 186.59/186.35 [4974]~P122(x49741)+E(f862(f862(f282(x49741),x49742),f2(x49741)),f2(x49741)) % 186.59/186.35 [4975]~P61(x49751)+E(f862(f862(f29(x49751),x49752),f2(x49751)),f2(x49751)) % 186.59/186.35 [4977]~P61(x49771)+E(f38(x49771,x49772,f71(x49771)),f2(x49771)) % 186.59/186.35 [4978]~P61(x49781)+E(f38(x49781,f2(x49781),x49782),f2(x49781)) % 186.59/186.35 [5007]E(x50071,f2(a924))+E(f48(x50072,x50071,f106(x50072)),f106(f925(x50072))) % 186.59/186.35 [5030]P49(x50301,x50302)+~E(f862(f277(x50301,x50301),x50302),x50302) % 186.59/186.35 [5031]P35(x50311,x50312)+~E(f589(x50312,x50311),f181(f932(x50311,a921))) % 186.59/186.35 [5032]E(x50321,f106(x50322))+~E(f862(f165(x50322),x50321),f181(f932(x50322,a921))) % 186.59/186.35 [5033]E(x50331,f106(x50332))+~E(f181(f932(x50332,a921)),f862(f165(x50332),x50331)) % 186.59/186.35 [5036]~E(x50361,x50362)+P1(f862(f862(a317,x50361),x50362)) % 186.59/186.35 [5046]P1(x50461)+P1(f862(f862(a322,x50461),x50462)) % 186.59/186.35 [5047]E(x50471,f106(x50472))+E(f862(f862(f157(x50472),x50471),f2(a924)),f862(f134(x50472),x50471)) % 186.59/186.35 [5050]E(f145(x50501,x50502),x50502)+~P1(f862(f130(x50501),x50502)) % 186.59/186.35 [5057]~P1(x50572)+P1(f862(f862(a322,x50571),x50572)) % 186.59/186.35 [5058]~P1(x50582)+P1(f862(f862(a319,x50581),x50582)) % 186.59/186.35 [5059]~P1(x50591)+P1(f862(f862(a319,x50591),x50592)) % 186.59/186.35 [5069]~E(f673(x50692,x50691),f677(x50692,x50691))+P1(f862(f130(x50691),x50692)) % 186.59/186.35 [5076]E(f862(f254(x50761),x50762),f181(f932(x50761,a921)))+P1(f862(x50762,f325(x50762))) % 186.59/186.35 [5077]E(f181(f932(x50771,a921)),f862(f254(x50771),x50772))+P1(f862(x50772,f326(x50772))) % 186.59/186.35 [5146]~P112(x51461)+E(f862(f862(f74(x51461),x51462),f75(x51461,x51462)),f862(f69(x51461),x51462)) % 186.59/186.35 [5157]~E(x51571,f2(a1))+E(f39(x51571,x51572),f862(f862(f244(a1,a1),f2(a1)),f2(a1))) % 186.59/186.35 [5189]~P55(x51891,x51892)+P55(x51891,f862(f277(x51891,x51891),x51892)) % 186.59/186.35 [5190]~P36(x51901,x51902)+P36(x51901,f862(f277(x51901,x51901),x51902)) % 186.59/186.35 [5191]~P37(x51911,x51912)+P37(x51911,f862(f277(x51911,x51911),x51912)) % 186.59/186.35 [5192]~P49(x51921,x51922)+P49(x51921,f862(f277(x51921,x51921),x51922)) % 186.59/186.35 [5215]E(x52151,x52152)+~P1(f862(f862(a317,x52151),x52152)) % 186.59/186.35 [5226]P1(x52261)+~P1(f862(f862(a318,x52262),x52261)) % 186.59/186.35 [5227]P1(x52271)+~P1(f862(f862(a318,x52271),x52272)) % 186.59/186.35 [5232]~P111(x52321)+P1(f862(f862(f227(x52321),x52322),f234(x52321))) % 186.59/186.35 [5233]~P119(x52331)+P1(f862(f862(f278(x52331),x52332),f2(x52331))) % 186.59/186.35 [5237]E(x52371,x52372)+~E(f862(x52371,f431(x52372,x52371)),f862(x52372,f431(x52372,x52371))) % 186.59/186.35 [5268]E(x52681,f2(a924))+E(f209(x52681,f38(a924,x52682,x52681)),f209(x52682,x52681)) % 186.59/186.35 [5273]~P109(x52731)+P11(x52731,f862(f862(f144(x52731),x52732),f106(x52731))) % 186.59/186.35 [5275]E(x52751,f2(a1))+P1(f862(f42(x52752,x52751),f39(x52752,x52751))) % 186.59/186.35 [5291]~P13(x52912,x52911)+P1(f862(f862(x52911,f806(x52911)),f806(x52911))) % 186.59/186.35 [5294]~E(x52941,x52942)+P1(f862(f862(f228(a924),x52941),f862(a105,x52942))) % 186.59/186.35 [5304]~E(x53041,f2(a924))+P1(f862(f862(f228(a924),x53041),f862(a105,x53042))) % 186.59/186.35 [5314]P1(f862(x53141,x53142))+P1(f862(f862(f227(a1),f2(a1)),f425(x53141))) % 186.59/186.35 [5378]E(f862(f862(f301(x53782),f745(x53782,x53781)),f788(x53782,x53781)),x53781)+E(x53781,f181(f932(x53782,a921))) % 186.59/186.35 [5379]P55(x53791,x53792)+~P55(x53791,f862(f277(x53791,x53791),x53792)) % 186.59/186.35 [5380]P36(x53801,x53802)+~P36(x53801,f862(f277(x53801,x53801),x53802)) % 186.59/186.35 [5381]P37(x53811,x53812)+~P37(x53811,f862(f277(x53811,x53811),x53812)) % 186.59/186.35 [5382]P49(x53821,x53822)+~P49(x53821,f862(f277(x53821,x53821),x53822)) % 186.59/186.35 [5385]~E(f38(a924,x53852,x53851),f2(a924))+E(f862(f862(f74(a924),x53851),f427(x53851,x53852)),x53852) % 186.59/186.35 [5386]~E(f38(a1,x53862,x53861),f2(a1))+E(f862(f862(f74(a1),x53861),f415(x53861,x53862)),x53862) % 186.59/186.35 [5412]~P1(f862(x54121,x54122))+P1(f862(f862(f227(a1),f2(a1)),f414(x54121))) % 186.59/186.35 [5423]E(f862(f862(f3(a924),f862(a97,x54231)),f862(a97,x54232)),f862(a97,x54231))+~P1(f862(a186,x54232)) % 186.59/186.35 [5447]E(f264(x54471,x54472),f71(a92))+~P1(f862(f862(f227(a92),x54471),f71(a92))) % 186.59/186.35 [5546]E(f862(f862(f157(x55461),x55462),f673(x55462,x55461)),f862(f862(f157(x55461),x55462),f677(x55462,x55461)))+P1(f862(f130(x55461),x55462)) % 186.59/186.35 [5589]~P1(f862(x55891,f83(x55892,x55891)))+P1(f862(x55891,f606(x55892,x55891))) % 186.59/186.35 [5653]P57(x56531,x56532)+~P1(f862(f307(x56531,x56532),f557(x56532,x56531))) % 186.59/186.35 [5798]~P13(x57982,x57981)+P1(f862(f862(x57981,f807(x57981,x57982)),f807(x57981,x57982))) % 186.59/186.35 [5799]~P13(x57992,x57991)+P1(f862(f862(x57991,f810(x57991,x57992)),f810(x57991,x57992))) % 186.59/186.35 [5808]~E(f862(a105,f38(a924,x58081,x58082)),x58082)+E(f38(a924,f862(a105,x58081),x58082),f2(a924)) % 186.59/186.35 [5863]P35(x58631,x58632)+P1(f862(f862(f321(x58631),f609(x58632,x58631)),f610(x58632,x58631))) % 186.59/186.35 [5870]~P98(x58701)+P1(f862(f862(f321(x58701),f862(f96(x58701),x58702)),f102(x58701))) % 186.59/186.35 [5871]~P142(x58711)+P1(f862(f862(f321(x58711),f862(f93(x58711),x58712)),f102(x58711))) % 186.59/186.35 [5872]~P147(x58721)+P1(f862(f862(f321(x58721),f862(f93(x58721),x58722)),f179(x58721))) % 186.59/186.35 [5873]~P142(x58731)+P1(f862(f862(f321(x58731),f862(f95(x58731),x58732)),f102(x58731))) % 186.59/186.35 [6007]~P36(x60071,x60072)+E(f862(f862(f280(x60071,x60071,x60071),x60072),f299(x60071,x60072)),x60072) % 186.59/186.35 [6021]E(f862(a105,f38(a924,x60211,x60212)),x60212)+E(f38(a924,f862(a105,x60211),x60212),f862(a105,f38(a924,x60211,x60212))) % 186.59/186.35 [6451]P35(x64511,x64512)+~P1(f862(f862(f321(x64511),f545(x64512,x64511)),f308(x64511,x64512))) % 186.59/186.35 [6489]~P127(x64891)+~P1(f862(f862(f228(x64891),f862(f93(x64891),x64892)),f2(x64891))) % 186.59/186.35 [6490]~P86(x64901)+~P1(f862(f862(f228(x64901),f862(f69(x64901),x64902)),f2(x64901))) % 186.59/186.35 [6524]E(x65241,f181(f932(x65242,a921)))+~P1(f862(f862(f321(x65242),f745(x65242,x65241)),f788(x65242,x65241))) % 186.59/186.35 [6582]P1(f862(f862(f228(a1),x65821),f38(a1,x65822,x65821)))+~P1(f862(f862(f228(a1),x65821),f2(a1))) % 186.59/186.35 [6684]E(f862(f862(f301(a924),f862(a105,x66841)),f296(a924,x66842,x66841)),f296(a924,x66842,f862(a105,x66841)))+~P1(f862(f862(f227(a924),x66842),f862(a105,x66841))) % 186.59/186.35 [6777]~P109(x67771)+P11(x67771,f143(x67771,x67771,f7(x67771),x67772)) % 186.59/186.35 [6908]E(f862(f160(x69081),x69082),x69082)+~P1(f862(f862(f227(a924),f862(f182(f925(x69081)),x69082)),f71(a924))) % 186.59/186.35 [6930]~P86(x69301)+P1(f862(f862(f227(x69301),f862(f72(x69301),f862(f69(x69301),x69302))),f2(x69301))) % 186.59/186.35 [6962]~P35(x69621,x69622)+P35(x69621,f862(f862(f280(x69621,x69621,x69621),x69622),f299(x69621,x69622))) % 186.59/186.35 [6963]~P49(x69631,x69632)+P49(x69631,f862(f862(f280(x69631,x69631,x69631),x69632),f299(x69631,x69632))) % 186.59/186.35 [7187]~P1(f862(f862(f228(a1),x71872),f2(a1)))+P1(f862(f862(f227(a1),f38(a1,x71871,x71872)),f2(a1))) % 186.59/186.35 [7588]~P147(x75881)+E(f183(x75881,f862(f862(f9(x75881,x75881,x75881),f73(x75881)),f71(x75881)),x75882,f2(x75881)),f862(f93(x75881),x75882)) % 186.59/186.35 [7616]~P129(x76161)+~P1(f862(f862(f228(x76161),f862(f862(f74(x76161),x76162),x76162)),f2(x76161))) % 186.59/186.35 [10271]~P112(x102711)+~P1(f862(f862(f228(x102711),f862(f862(f236(x102711),x102712),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f2(x102711))) % 186.59/186.35 [4839]~E(x48392,f106(x48391))+E(f862(f182(f925(x48391)),x48392),f2(a924)) % 186.59/186.35 [4872]~E(x48721,f2(a924))+E(f862(f862(f73(a924),x48721),x48722),x48722) % 186.59/186.35 [4873]~E(x48732,f2(a924))+E(f862(f862(f74(a924),x48731),x48732),f2(a924)) % 186.59/186.35 [4875]~E(x48751,f2(a924))+E(f862(f862(f74(a924),x48751),x48752),f2(a924)) % 186.59/186.35 [4876]~E(x48762,f2(a924))+E(f862(f862(f236(a924),x48761),x48762),f71(a924)) % 186.59/186.35 [4877]~E(x48772,f2(a1))+E(f862(f862(f29(a1),x48771),x48772),f2(a1)) % 186.59/186.35 [4888]E(x48881,f106(x48882))+~E(f862(f182(f925(x48882)),x48881),f2(a924)) % 186.59/186.35 [4889]~P93(x48891)+E(f862(f862(f103(x48891),x48892),x48892),x48892) % 186.59/186.35 [4891]~P103(x48911)+E(f862(f862(f103(x48911),x48912),x48912),x48912) % 186.59/186.35 [4892]~P93(x48921)+E(f862(f862(f94(x48921),x48922),x48922),x48922) % 186.59/186.35 [4894]~P104(x48941)+E(f862(f862(f94(x48941),x48942),x48942),x48942) % 186.59/186.35 [4896]~P100(x48961)+E(f862(f862(f74(x48961),x48962),x48962),x48962) % 186.59/186.35 [4898]~P109(x48981)+E(f862(f862(f225(x48981),x48982),x48982),x48982) % 186.59/186.35 [4900]~P109(x49001)+E(f862(f862(f226(x49001),x49002),x49002),x49002) % 186.59/186.35 [4918]~P68(x49181)+E(f862(f862(f3(x49181),x49182),x49182),f2(x49181)) % 186.59/186.35 [4933]~P96(x49331)+E(f862(f72(x49331),f862(f72(x49331),x49332)),x49332) % 186.59/186.35 [4934]~P68(x49341)+E(f862(f72(x49341),f862(f72(x49341),x49342)),x49342) % 186.59/186.35 [4951]~E(x49512,f2(a924))+E(f862(f862(f236(a924),x49511),x49512),f862(a105,f2(a924))) % 186.59/186.35 [4986]~P95(x49861)+E(f862(f862(f103(x49861),f181(x49861)),x49862),x49862) % 186.59/186.35 [4987]~P94(x49871)+E(f862(f862(f94(x49871),f234(x49871)),x49872),x49872) % 186.59/186.35 [4988]~P71(x49881)+E(f862(f862(f74(x49881),f71(x49881)),x49882),x49882) % 186.59/186.35 [4989]~P119(x49891)+E(f862(f862(f74(x49891),f71(x49891)),x49892),x49892) % 186.59/186.35 [4990]~P80(x49901)+E(f862(f862(f74(x49901),f71(x49901)),x49902),x49902) % 186.59/186.35 [4991]~P72(x49911)+E(f862(f862(f73(x49911),f2(x49911)),x49912),x49912) % 186.59/186.35 [4992]~P119(x49921)+E(f862(f862(f73(x49921),f2(x49921)),x49922),x49922) % 186.59/186.35 [4993]~P81(x49931)+E(f862(f862(f73(x49931),f2(x49931)),x49932),x49932) % 186.59/186.35 [5011]~P94(x50111)+E(f862(f862(f103(x50111),f234(x50111)),x50112),f234(x50111)) % 186.59/186.35 [5012]~P95(x50121)+E(f862(f862(f94(x50121),f181(x50121)),x50122),f181(x50121)) % 186.59/186.35 [5013]~P119(x50131)+E(f862(f862(f74(x50131),f2(x50131)),x50132),f2(x50131)) % 186.59/186.35 [5014]~P134(x50141)+E(f862(f862(f74(x50141),f2(x50141)),x50142),f2(x50141)) % 186.59/186.35 [5015]~P121(x50151)+E(f862(f862(f282(x50151),f2(x50151)),x50152),f2(x50151)) % 186.59/186.35 [5016]~P80(x50161)+E(f862(f862(f236(x50161),f71(x50161)),x50162),f71(x50161)) % 186.59/186.35 [5017]~P61(x50171)+E(f862(f862(f29(x50171),f2(x50171)),x50172),f2(x50171)) % 186.59/186.35 [5025]E(x50251,f106(x50252))+E(f137(x50252,f862(f161(x50252),x50251)),f862(f134(x50252),x50251)) % 186.59/186.35 [5026]E(x50261,f106(x50262))+E(f862(f134(x50262),f862(f161(x50262),x50261)),f137(x50262,x50261)) % 186.59/186.35 [5027]E(x50271,f2(a924))+~E(f862(f862(f73(a924),x50272),x50271),x50272) % 186.59/186.35 [5034]~P98(x50341)+E(f862(f95(x50341),f862(f96(a1),x50342)),f862(f96(x50341),x50342)) % 186.59/186.35 [5035]~P142(x50351)+E(f862(f95(x50351),f862(f93(a1),x50352)),f862(f93(x50351),x50352)) % 186.59/186.35 [5042]E(x50421,f71(a924))+~E(f862(f862(f74(a924),x50422),x50421),f71(a924)) % 186.59/186.35 [5043]E(x50431,f71(a924))+~E(f862(f862(f74(a924),x50431),x50432),f71(a924)) % 186.59/186.35 [5044]E(x50441,f2(a924))+~E(f862(f862(f73(a924),x50442),x50441),f2(a924)) % 186.59/186.35 [5045]E(x50451,f2(a924))+~E(f862(f862(f73(a924),x50451),x50452),f2(a924)) % 186.59/186.35 [5062]~P86(x50621)+E(f862(f69(x50621),f862(f72(x50621),x50622)),f862(f69(x50621),x50622)) % 186.59/186.35 [5063]~P112(x50631)+E(f862(f69(x50631),f862(f93(x50631),x50632)),f862(f93(x50631),x50632)) % 186.59/186.35 [5064]~P86(x50641)+E(f862(f69(x50641),f862(f69(x50641),x50642)),f862(f69(x50641),x50642)) % 186.59/186.35 [5065]~P72(x50651)+E(f862(f158(x50651),f862(f161(x50651),x50652)),f862(f158(x50651),x50652)) % 186.59/186.35 [5070]~E(x50701,f862(a105,f2(a924)))+E(f862(f862(f236(a924),x50701),x50702),f862(a105,f2(a924))) % 186.59/186.35 [5079]~P68(x50791)+E(f862(f862(f3(x50791),f2(x50791)),x50792),f862(f72(x50791),x50792)) % 186.59/186.35 [5080]~E(x50802,f2(a924))+E(f132(a924,f862(f295(a924,x50801),x50802)),f106(a924)) % 186.59/186.35 [5089]~P98(x50891)+E(f862(f862(f73(x50891),x50892),f862(f96(x50891),a76)),x50892) % 186.59/186.35 [5090]E(x50901,f2(a1))+E(f40(f862(f69(a1),x50902),f862(f69(a1),x50901)),f46(x50902,x50901)) % 186.59/186.35 [5106]~E(x51061,x51062)+P1(f862(f862(f227(a924),x51061),x51062)) % 186.59/186.35 [5113]~E(x51131,f2(a92))+E(f862(f862(f73(a924),f862(a22,x51131)),x51132),x51132) % 186.59/186.35 [5127]~P4(x51271)+P4(f862(f862(f236(a1),x51271),x51272)) % 186.59/186.35 [5128]~P96(x51281)+E(f862(f862(f103(x51281),x51282),f862(f72(x51281),x51282)),f234(x51281)) % 186.59/186.35 [5129]~P96(x51291)+E(f862(f862(f94(x51291),x51292),f862(f72(x51291),x51292)),f181(x51291)) % 186.59/186.35 [5130]~P68(x51301)+E(f862(f862(f73(x51301),x51302),f862(f72(x51301),x51302)),f2(x51301)) % 186.59/186.35 [5154]E(x51541,f2(a924))+~E(f862(f72(a1),f862(f93(a1),x51542)),f862(f93(a1),x51541)) % 186.59/186.35 [5155]E(x51551,f2(a924))+~E(f862(f72(a1),f862(f93(a1),x51551)),f862(f93(a1),x51552)) % 186.59/186.35 [5165]E(f187(x51651,x51652),f2(a1))+P1(f862(f862(f227(a1),x51652),x51651)) % 186.59/186.35 [5166]E(f171(x51661,x51662),f106(a1))+P1(f862(f862(f227(a1),x51661),x51662)) % 186.59/186.35 [5167]E(f233(x51671,x51672),f2(a92))+P1(f862(f862(f228(a92),x51671),x51672)) % 186.59/186.35 [5180]E(x51801,f862(a105,f2(a924)))+~E(f862(f862(f74(a924),x51802),x51801),f862(a105,f2(a924))) % 186.59/186.35 [5181]E(x51811,f862(a105,f2(a924)))+~E(f862(f862(f74(a924),x51811),x51812),f862(a105,f2(a924))) % 186.59/186.35 [5182]~P2(x51821)+P1(f862(f862(f84(x51821),x51822),x51822)) % 186.59/186.35 [5183]~P91(x51831)+P1(f862(f862(f227(x51831),x51832),x51832)) % 186.59/186.35 [5186]~P98(x51861)+E(f862(f862(f74(x51861),x51862),f862(f96(x51861),a90)),f862(f72(x51861),x51862)) % 186.59/186.35 [5207]~P98(x52071)+E(f862(f72(x52071),f862(f96(x52071),x52072)),f862(f96(x52071),f862(f72(a1),x52072))) % 186.59/186.35 [5208]~P142(x52081)+E(f862(f72(x52081),f862(f95(x52081),x52082)),f862(f95(x52081),f862(f72(a1),x52082))) % 186.59/186.35 [5238]~E(x52381,f862(a105,x52382))+P1(f862(f862(f228(a924),f2(a924)),x52381)) % 186.59/186.35 [5256]~P109(x52561)+E(f862(f72(f932(x52561,a921)),f862(f293(x52561),x52562)),f862(f294(x52561),x52562)) % 186.59/186.35 [5257]~P109(x52571)+E(f862(f72(f932(x52571,a921)),f862(f294(x52571),x52572)),f862(f293(x52571),x52572)) % 186.59/186.35 [5258]~P109(x52581)+E(f862(f72(f932(x52581,a921)),f862(f274(x52581),x52582)),f862(f292(x52581),x52582)) % 186.59/186.35 [5259]~P109(x52591)+E(f862(f72(f932(x52591,a921)),f862(f292(x52591),x52592)),f862(f274(x52591),x52592)) % 186.59/186.35 [5267]~E(f862(f93(a1),x52672),x52671)+P1(f862(f862(f227(a1),f2(a1)),x52671)) % 186.59/186.35 [5274]~E(x52742,f2(a1))+E(f46(x52741,x52742),f862(f862(f244(a1,a1),f2(a1)),f862(f69(a1),x52741))) % 186.59/186.35 [5276]~P92(x52761)+P1(f862(f862(f227(x52761),f181(x52761)),x52762)) % 186.59/186.35 [5309]E(x53091,x53092)+~E(f862(f862(f73(a1),x53091),x53091),f862(f862(f73(a1),x53092),x53092)) % 186.59/186.35 [5313]~P1(f862(x53131,x53132))+P1(f862(x53131,f862(a97,f414(x53131)))) % 186.59/186.35 [5339]~P112(x53391)+E(f862(f862(f74(x53391),f75(x53391,x53392)),f862(f69(x53391),x53392)),x53392) % 186.59/186.35 [5346]~E(x53462,f2(a924))+E(f78(f931(a924,a924),f41(x53461,x53462)),f862(f862(f244(a924,a924),f2(a924)),x53461)) % 186.59/186.35 [5351]~E(x53511,x53512)+~P1(f862(f862(f228(a924),x53511),x53512)) % 186.59/186.35 [5352]~E(x53521,x53522)+~P1(f862(f862(f228(a1),x53521),x53522)) % 186.59/186.35 [5355]~P147(x53551)+E(f862(f862(f73(x53551),f71(x53551)),f862(f93(x53551),x53552)),f862(f93(x53551),f862(a105,x53552))) % 186.59/186.35 [5359]~E(x53591,f2(a924))+~P1(f862(f862(f228(a924),x53592),x53591)) % 186.59/186.35 [5373]E(f145(x53731,x53732),x53732)+~E(f862(f182(f925(x53731)),f145(x53731,x53732)),f862(f182(f925(x53731)),x53732)) % 186.59/186.35 [5374]E(f862(f28(x53741),f862(f165(x53741),x53742)),f862(f182(f925(x53741)),x53742))+~P1(f862(f130(x53741),x53742)) % 186.59/186.35 [5390]~P1(f862(x53901,f357(x53901)))+P1(f862(x53901,f862(f93(a1),x53902))) % 186.59/186.35 [5400]E(f233(x54001,x54002),x54002)+~P1(f862(f862(f228(a92),x54001),x54002)) % 186.59/186.35 [5402]E(f264(x54021,x54022),f71(a92))+~P1(f862(f862(f228(a92),x54022),x54021)) % 186.59/186.35 [5403]E(f171(x54031,x54032),f106(a1))+~P1(f862(f862(f228(a1),x54032),x54031)) % 186.59/186.35 [5404]E(f121(x54041,x54042),f108(a1))+~P1(f862(f862(f228(a1),x54041),x54042)) % 186.59/186.35 [5406]~P110(x54061)+E(f296(x54061,x54062,x54062),f862(f862(f301(x54061),x54062),f181(f932(x54061,a921)))) % 186.59/186.35 [5426]~E(f862(f862(f3(a1),x54261),x54262),f2(a1))+P1(f862(f862(f84(a1),x54261),x54262)) % 186.59/186.35 [5427]~E(f862(f862(f3(a924),x54271),x54272),f2(a924))+P1(f862(f862(f227(a924),x54271),x54272)) % 186.59/186.35 [5444]~E(x54442,f2(a924))+E(f48(x54441,x54442,f106(x54441)),f862(f862(f144(f925(x54441)),f106(x54441)),f106(f925(x54441)))) % 186.59/186.35 [5448]~P91(x54481)+~P1(f862(f862(f228(x54481),x54482),x54482)) % 186.59/186.35 [5450]~E(f38(a1,x54501,x54502),f2(a1))+E(f38(a1,x54501,f862(f72(a1),x54502)),f2(a1)) % 186.59/186.35 [5452]~E(f38(a1,x54521,x54522),f2(a1))+E(f38(a1,f862(f72(a1),x54521),x54522),f2(a1)) % 186.59/186.35 [5461]E(f862(f295(a924,x54611),f862(a105,x54612)),f181(f932(a924,a921)))+P1(f862(f862(f227(a924),x54611),x54612)) % 186.59/186.35 [5485]E(f132(a924,f862(f295(a924,x54851),x54852)),f106(a924))+P1(f862(f862(f228(a924),x54851),x54852)) % 186.59/186.35 [5490]~E(f862(f28(x54901),f862(f165(x54901),x54902)),f862(f182(f925(x54901)),x54902))+P1(f862(f130(x54901),x54902)) % 186.59/186.35 [5494]~P1(f862(f130(x54941),x54942))+P1(f862(f130(x54941),f862(f160(x54941),x54942))) % 186.59/186.35 [5495]~P1(f862(f130(x54951),x54952))+P1(f862(f130(x54951),f862(f164(x54951),x54952))) % 186.59/186.35 [5496]~P1(f862(f130(x54961),x54962))+P1(f862(f130(x54961),f862(f161(x54961),x54962))) % 186.59/186.35 [5504]P1(f862(x55041,x55042))+~P1(f862(x55041,f862(a97,f425(x55041)))) % 186.59/186.35 [5505]P1(f862(f862(f227(a924),x55052),x55051))+P1(f862(f862(f227(a924),x55051),x55052)) % 186.59/186.35 [5506]P1(f862(f862(f227(a1),x55062),x55061))+P1(f862(f862(f227(a1),x55061),x55062)) % 186.59/186.35 [5510]~P86(x55101)+P1(f862(f862(f227(x55101),x55102),f862(f69(x55101),x55102))) % 186.59/186.35 [5513]P1(f862(x55131,f358(x55131)))+~P1(f862(x55131,f862(f93(a1),x55132))) % 186.59/186.35 [5537]E(f862(f862(f3(a924),x55371),x55372),f2(a924))+~P1(f862(f862(f227(a924),x55371),x55372)) % 186.59/186.35 [5538]E(f862(f862(f3(a1),x55381),x55382),f2(a1))+~P1(f862(f862(f84(a1),x55381),x55382)) % 186.59/186.35 [5539]E(f862(f862(f29(a924),x55391),x55392),f2(a924))+~P1(f862(f862(f228(a924),x55391),x55392)) % 186.59/186.35 [5558]E(f38(a924,x55581,x55582),x55581)+~P1(f862(f862(f228(a924),x55581),x55582)) % 186.59/186.35 [5566]E(f38(a1,x55661,f862(f72(a1),x55662)),f283(x55661,x55662))+P1(f862(f862(f227(a1),f2(a1)),x55662)) % 186.59/186.35 [5578]E(f862(f862(f3(a1),x55781),x55782),f187(x55781,x55782))+~P1(f862(f862(f227(a1),x55782),x55781)) % 186.59/186.35 [5598]P1(f862(f862(f227(a1),f2(a1)),f357(x55981)))+P1(f862(x55981,f862(f93(a1),x55982))) % 186.59/186.35 [5611]~P127(x56111)+P1(f862(f862(f227(x56111),f2(x56111)),f862(f93(x56111),x56112))) % 186.59/186.35 [5612]~P86(x56121)+P1(f862(f862(f227(x56121),f2(x56121)),f862(f69(x56121),x56122))) % 186.59/186.35 [5639]E(f862(f862(f73(a924),x56391),f864(x56392,x56391)),x56392)+~P1(f862(f862(f227(a924),x56391),x56392)) % 186.59/186.35 [5654]E(f296(a1,x56541,x56542),f181(f932(a1,a921)))+~P1(f862(f862(f228(a1),x56542),x56541)) % 186.59/186.35 [5657]~P112(x56571)+E(f862(f862(f74(x56571),f862(f69(x56571),x56572)),f862(f69(x56571),x56572)),f862(f862(f74(x56571),x56572),x56572)) % 186.59/186.35 [5662]E(f132(a924,f862(f295(a924,x56621),f862(a105,x56622))),f106(a924))+P1(f862(f862(f227(a924),x56621),x56622)) % 186.59/186.35 [5665]E(f862(f862(f29(a1),x56651),x56652),f284(x56651,x56652))+~P1(f862(f862(f227(a1),f2(a1)),x56652)) % 186.59/186.35 [5685]P1(f862(f130(x56851),x56852))+~P1(f862(f130(x56851),f862(f160(x56851),x56852))) % 186.59/186.35 [5686]P1(f862(f130(x56861),x56862))+~P1(f862(f130(x56861),f862(f161(x56861),x56862))) % 186.59/186.35 [5711]P1(f862(f54(a924),x57111))+P1(f862(f862(f321(a924),f865(x57111,x57112)),x57111)) % 186.59/186.35 [5712]P1(f862(f54(a924),x57121))+P1(f862(f862(f321(a924),f912(x57121,x57122)),x57121)) % 186.59/186.35 [5715]P1(f862(f862(f228(a924),x57152),f862(a105,x57151)))+P1(f862(f862(f228(a924),x57151),x57152)) % 186.59/186.35 [5716]E(f38(a1,x57161,x57162),f283(x57161,x57162))+~P1(f862(f862(f227(a1),f2(a1)),x57162)) % 186.59/186.35 [5720]E(f132(a924,f862(f295(a924,x57201),x57202)),f106(a924))+~P1(f862(f862(f227(a924),x57202),x57201)) % 186.59/186.35 [5721]~P78(x57211)+E(f862(f302(x57211,x57211,f72(x57211)),f862(f293(x57211),x57212)),f862(f292(x57211),f862(f72(x57211),x57212))) % 186.59/186.35 [5722]~P78(x57221)+E(f862(f302(x57221,x57221,f72(x57221)),f862(f294(x57221),x57222)),f862(f274(x57221),f862(f72(x57221),x57222))) % 186.59/186.35 [5723]~P78(x57231)+E(f862(f302(x57231,x57231,f72(x57231)),f862(f274(x57231),x57232)),f862(f294(x57231),f862(f72(x57231),x57232))) % 186.59/186.35 [5724]~P78(x57241)+E(f862(f302(x57241,x57241,f72(x57241)),f862(f292(x57241),x57242)),f862(f293(x57241),f862(f72(x57241),x57242))) % 186.59/186.35 [5735]E(x57351,f181(f932(x57352,a921)))+P1(f862(f862(f321(x57352),f359(x57351,x57352)),x57351)) % 186.59/186.35 [5736]E(x57361,f181(f932(x57362,a921)))+P1(f862(f862(f321(x57362),f570(x57361,x57362)),x57361)) % 186.59/186.35 [5737]E(x57371,f181(f932(x57372,a921)))+P1(f862(f862(f321(x57372),f395(x57371,x57372)),x57371)) % 186.59/186.35 [5748]~P1(f862(f862(f228(a924),x57481),x57482))+P1(f862(f862(f227(a924),x57481),x57482)) % 186.59/186.35 [5749]~P1(f862(f862(f228(a1),x57491),x57492))+P1(f862(f862(f227(a1),x57491),x57492)) % 186.59/186.35 [5766]E(f40(x57661,x57662),f862(f862(f244(a1,a1),f2(a1)),x57661))+~P1(f862(f862(f228(a1),x57661),x57662)) % 186.59/186.35 [5768]E(f208(f862(f72(a1),x57681),f862(f72(a1),x57682)),f208(x57681,x57682))+~P1(f862(f862(f228(a1),x57682),f2(a1))) % 186.59/186.35 [5780]E(x57801,x57802)+~E(f862(a5,f862(a105,f862(a22,x57801))),f862(a5,f862(a105,f862(a22,x57802)))) % 186.59/186.35 [5785]E(f40(x57851,x57852),f862(f862(f244(a1,a1),f2(a1)),x57851))+~P1(f862(f862(f227(a1),x57852),f2(a1))) % 186.59/186.35 [5814]E(f38(a924,f862(f96(a924),x58141),f862(f96(a924),x58142)),f2(a924))+~P1(f862(a186,f862(f96(a1),x58141))) % 186.59/186.35 [5828]P1(f862(f862(f227(a1),f2(a1)),f358(x58281)))+~P1(f862(x58281,f862(f93(a1),x58282))) % 186.59/186.35 [5861]P38(f296(a1,x58611,x58612))+~P1(f862(f862(f227(a1),f2(a1)),x58611)) % 186.59/186.35 [5866]~P1(f862(f54(x58661),x58662))+P1(f862(f54(f932(x58661,a921)),f862(f300(x58661),x58662))) % 186.59/186.35 [5879]E(f862(f862(f73(a1),x58791),f862(f93(a1),f409(x58792,x58791))),x58792)+~P1(f862(f862(f227(a1),x58791),x58792)) % 186.59/186.35 [5887]P1(f862(f862(f227(a924),x58871),x58872))+P1(f862(f862(f227(a924),f862(a105,x58872)),x58871)) % 186.59/186.35 [5931]E(f862(f862(f29(a924),f862(f96(a924),x59311)),f862(f96(a924),x59312)),f2(a924))+~P1(f862(a186,f862(f96(a1),x59311))) % 186.59/186.35 [5932]E(f862(f862(f74(a924),f862(f96(a924),x59321)),f862(f96(a924),x59322)),f2(a924))+~P1(f862(f862(f228(a1),x59321),a76)) % 186.59/186.35 [5934]P1(f862(f862(f227(a924),x59341),f862(a105,x59342)))+~P1(f862(f862(f227(a924),x59341),x59342)) % 186.59/186.35 [5936]P1(f862(f862(f228(a924),x59361),f862(a105,x59362)))+~P1(f862(f862(f227(a924),x59361),x59362)) % 186.59/186.35 [5938]P1(f862(f862(f228(a924),x59381),f862(a105,x59382)))+~P1(f862(f862(f228(a924),x59381),x59382)) % 186.59/186.35 [5941]~E(x59411,x59412)+P1(f862(f862(f228(a1),x59411),f862(f862(f73(a1),x59412),f71(a1)))) % 186.59/186.35 [5944]E(f38(a1,x59441,x59442),f2(a1))+E(f862(f862(f3(a1),x59442),f38(a1,x59441,x59442)),f38(a1,f862(f72(a1),x59441),x59442)) % 186.59/186.35 [5953]E(x59531,f106(x59532))+P1(f862(f862(f321(x59532),f137(x59532,x59531)),f862(f165(x59532),x59531))) % 186.59/186.35 [5965]E(f78(f931(a924,a924),f41(x59651,x59652)),f862(f862(f244(a924,a924),f2(a924)),x59651))+~P1(f862(f862(f228(a924),x59651),x59652)) % 186.59/186.35 [6000]E(f862(f862(f3(a924),f862(f96(a924),x60001)),f862(f96(a924),x60002)),f862(f96(a924),x60001))+~P1(f862(f862(f228(a1),x60002),a76)) % 186.59/186.35 [6001]E(f862(f862(f73(a924),f862(f96(a924),x60011)),f862(f96(a924),x60012)),f862(f96(a924),x60012))+~P1(f862(f862(f228(a1),x60011),a76)) % 186.59/186.35 [6008]E(f862(a105,f862(f862(f73(a924),x60081),f332(x60082,x60081))),x60082)+~P1(f862(f862(f228(a924),x60081),x60082)) % 186.59/186.35 [6032]P1(f862(x60321,x60322))+~P1(f862(x60321,f862(a82,f578(x60322,x60321)))) % 186.59/186.35 [6033]P1(f862(x60331,x60332))+~P1(f862(x60331,f862(a5,f823(x60332,x60331)))) % 186.59/186.35 [6042]~P1(f862(f862(f228(a924),x60421),f862(a105,x60422)))+P1(f862(f862(f227(a924),x60421),x60422)) % 186.59/186.35 [6092]E(f862(f862(f301(a924),x60921),f862(f295(a924,x60922),x60921)),f862(f295(a924,x60922),f862(a105,x60921)))+~P1(f862(f862(f227(a924),x60922),x60921)) % 186.59/186.35 [6094]E(x60941,f106(x60942))+E(f862(f862(f127(x60942),f107(x60942,x60941)),f862(f862(f144(x60942),f137(x60942,x60941)),f106(x60942))),x60941) % 186.59/186.35 [6111]P1(f862(f54(x61111),x61112))+~P1(f862(f862(f228(a924),f2(a924)),f862(f28(x61111),x61112))) % 186.59/186.35 [6115]~E(x61151,f181(f932(x61152,a921)))+~P1(f862(f862(f228(a924),f2(a924)),f862(f28(x61152),x61151))) % 186.59/186.35 [6127]~P1(f862(f862(f228(a924),x61271),x61272))+P1(f862(f862(f227(a924),f862(a105,x61271)),x61272)) % 186.59/186.35 [6131]~P109(x61311)+E(f143(x61311,x61311,f7(x61311),f145(x61311,x61312)),f132(x61311,f862(f165(x61311),x61312))) % 186.59/186.35 [6134]E(x61341,f106(x61342))+P1(f862(f862(f321(x61342),f862(f134(x61342),x61341)),f862(f165(x61342),x61341))) % 186.59/186.35 [6140]~P127(x61401)+P1(f862(f862(f228(x61401),x61402),f862(f862(f73(x61401),x61402),f71(x61401)))) % 186.59/186.35 [6142]~P86(x61421)+P1(f862(f862(f227(x61421),f862(f72(x61421),x61422)),f862(f69(x61421),x61422))) % 186.59/186.35 [6156]~E(x61561,x61562)+E(f281(a924,f278(a924),x61561,x61562),f862(f862(f301(a924),x61561),f181(f932(a924,a921)))) % 186.59/186.35 [6174]P1(f862(f54(a924),x61741))+~P1(f862(f862(f227(a924),f865(x61741,x61742)),x61742)) % 186.59/186.35 [6175]P1(f862(f54(a924),x61751))+~P1(f862(f862(f228(a924),f912(x61751,x61752)),x61752)) % 186.59/186.35 [6178]~P1(f862(f54(f931(x61781,x61781)),x61782))+P1(f862(f54(x61781),f862(f273(x61781),x61782))) % 186.59/186.35 [6202]E(f234(f932(x62021,a921)),x62022)+~P1(f862(f862(f321(x62021),f528(x62022,x62021)),x62022)) % 186.59/186.35 [6235]E(f281(a924,f278(a924),x62351,x62352),f181(f932(a924,a921)))+P1(f862(f862(f278(a924),x62351),x62352)) % 186.59/186.35 [6238]~P1(f862(f862(f228(a924),x62382),f862(a105,x62381)))+~P1(f862(f862(f228(a924),x62381),x62382)) % 186.59/186.35 [6239]~P110(x62391)+E(f862(f862(f94(f932(x62391,a921)),f862(f294(x62391),x62392)),f862(f274(x62391),x62392)),f862(f862(f301(x62391),x62392),f181(f932(x62391,a921)))) % 186.59/186.35 [6251]P1(f862(f54(x62511),x62512))+~P1(f862(f54(f932(x62511,a921)),f862(f300(x62511),x62512))) % 186.59/186.35 [6273]P1(f862(f862(f227(a924),f862(a105,x62731)),f862(a105,x62732)))+~P1(f862(f862(f227(a924),x62731),x62732)) % 186.59/186.35 [6274]P1(f862(f862(f227(a924),f862(a22,x62741)),f862(a22,x62742)))+~P1(f862(f862(f227(a92),x62741),x62742)) % 186.59/186.35 [6275]P1(f862(f862(f227(a92),f862(a5,x62751)),f862(a5,x62752)))+~P1(f862(f862(f227(a924),x62751),x62752)) % 186.59/186.35 [6277]P1(f862(f862(f228(a924),f862(a105,x62771)),f862(a105,x62772)))+~P1(f862(f862(f228(a924),x62771),x62772)) % 186.59/186.35 [6278]P1(f862(f862(f228(a924),f862(a22,x62781)),f862(a22,x62782)))+~P1(f862(f862(f228(a92),x62781),x62782)) % 186.59/186.35 [6279]P1(f862(f862(f228(a92),f862(a5,x62791)),f862(a5,x62792)))+~P1(f862(f862(f228(a924),x62791),x62792)) % 186.59/186.35 [6284]E(x62841,x62842)+~E(f862(f302(a924,a1,f93(a1)),x62841),f862(f302(a924,a1,f93(a1)),x62842)) % 186.59/186.35 [6300]P1(f862(f862(f227(a924),x63001),x63002))+~P1(f862(f862(f227(a924),f862(a105,x63001)),x63002)) % 186.59/186.35 [6303]P1(f862(f862(f228(a924),x63031),x63032))+~P1(f862(f862(f227(a924),f862(a105,x63031)),x63032)) % 186.59/186.35 [6304]P1(f862(f862(f228(a924),x63041),x63042))+~P1(f862(f862(f228(a924),f862(a105,x63041)),x63042)) % 186.59/186.35 [6322]E(f38(a1,x63221,x63222),f2(a1))+E(f862(f862(f3(a1),f38(a1,x63221,x63222)),x63222),f38(a1,x63221,f862(f72(a1),x63222))) % 186.59/186.35 [6391]E(f862(f28(f932(x63911,a921)),f862(f300(x63911),x63912)),f862(f862(f236(a924),f862(a105,f862(a105,f2(a924)))),f862(f28(x63911),x63912)))+~P1(f862(f54(x63911),x63912)) % 186.59/186.35 [6394]E(x63941,f106(x63942))+E(f862(f862(f157(x63942),x63941),f862(f862(f3(a924),f862(f182(f925(x63942)),x63941)),f71(a924))),f137(x63942,x63941)) % 186.59/186.35 [6416]E(x64161,f106(x64162))+E(f862(f862(f127(x64162),f862(f164(x64162),x64161)),f862(f862(f144(x64162),f862(f134(x64162),x64161)),f106(x64162))),f862(f160(x64162),x64161)) % 186.59/186.35 [6448]~P1(f862(f54(x64481),f30(f932(x64481,a921),x64482)))+P1(f862(f54(f932(x64481,a921)),x64482)) % 186.59/186.35 [6470]P1(f862(f862(f227(a924),f862(f96(a924),x64701)),f862(f96(a924),x64702)))+~P1(f862(f862(f227(a1),x64701),a76)) % 186.59/186.35 [6493]~P1(f862(f862(f228(a1),x64931),x64932))+P1(f862(f862(f227(a1),x64931),f862(f862(f3(a1),x64932),f71(a1)))) % 186.59/186.35 [6494]~P1(f862(f862(f227(a1),x64941),x64942))+P1(f862(f862(f228(a1),x64941),f862(f862(f73(a1),x64942),f71(a1)))) % 186.59/186.35 [6495]~P1(f862(f862(f228(a1),x64951),x64952))+P1(f862(f862(f228(a1),x64951),f862(f862(f73(a1),x64952),f71(a1)))) % 186.59/186.35 [6497]~P1(f862(f862(f84(a1),x64971),x64972))+P1(f862(f862(f84(a1),f862(f96(a1),x64971)),f862(f96(a1),x64972))) % 186.59/186.35 [6498]~P1(f862(f862(f227(a1),x64981),x64982))+P1(f862(f862(f227(a924),f862(f96(a924),x64981)),f862(f96(a924),x64982))) % 186.59/186.35 [6499]~P1(f862(f862(f227(a1),x64991),x64992))+P1(f862(f862(f227(a1),f862(f96(a1),x64991)),f862(f96(a1),x64992))) % 186.59/186.35 [6501]~P1(f862(f862(f227(a924),x65011),x65012))+P1(f862(f862(f227(a1),f862(f93(a1),x65011)),f862(f93(a1),x65012))) % 186.59/186.35 [6502]~P1(f862(f862(f228(a1),x65021),x65022))+P1(f862(f862(f228(a1),f862(f96(a1),x65021)),f862(f96(a1),x65022))) % 186.59/186.35 [6504]~P1(f862(f862(f228(a924),x65041),x65042))+P1(f862(f862(f228(a1),f862(f93(a1),x65041)),f862(f93(a1),x65042))) % 186.59/186.35 [6525]~P1(f862(f862(f227(a924),x65251),x65252))+~P1(f862(f862(f227(a924),f862(a105,x65252)),x65251)) % 186.59/186.35 [6567]~P1(f862(f862(f227(a924),f862(a105,x65671)),f862(a105,x65672)))+P1(f862(f862(f227(a924),x65671),x65672)) % 186.59/186.35 [6568]~P1(f862(f862(f227(a92),f862(a5,x65681)),f862(a5,x65682)))+P1(f862(f862(f227(a924),x65681),x65682)) % 186.59/186.35 [6569]~P1(f862(f862(f227(a924),f862(a22,x65691)),f862(a22,x65692)))+P1(f862(f862(f227(a92),x65691),x65692)) % 186.59/186.35 [6571]~P1(f862(f862(f228(a924),f862(a105,x65711)),f862(a105,x65712)))+P1(f862(f862(f228(a924),x65711),x65712)) % 186.59/186.35 [6572]~P1(f862(f862(f228(a92),f862(a5,x65721)),f862(a5,x65722)))+P1(f862(f862(f228(a924),x65721),x65722)) % 186.59/186.35 [6573]~P1(f862(f862(f228(a924),f862(a97,x65731)),f862(a97,x65732)))+P1(f862(f862(f228(a1),x65731),x65732)) % 186.59/186.35 [6574]~P1(f862(f862(f228(a924),f862(a22,x65741)),f862(a22,x65742)))+P1(f862(f862(f228(a92),x65741),x65742)) % 186.59/186.35 [6615]~P1(f862(f862(f228(a924),f862(a97,x66152)),f862(a97,x66151)))+P1(f862(f862(f228(a1),f2(a1)),x66151)) % 186.59/186.35 [6646]P1(f862(f862(f227(a1),f2(a1)),f38(a1,x66461,x66462)))+~P1(f862(f862(f228(a1),f2(a1)),x66462)) % 186.59/186.35 [6811]P35(x68111,x68112)+~E(f862(f862(f280(x68111,x68111,x68111),x68112),x68112),f181(f932(f931(x68111,x68111),a921))) % 186.59/186.35 [6826]~P35(x68261,x68262)+P35(x68261,f862(f862(f280(x68261,x68261,x68261),x68262),x68262)) % 186.59/186.35 [6837]P1(f862(f862(f227(a1),x68371),x68372))+~P1(f862(f862(f228(a1),x68371),f862(f862(f73(a1),x68372),f71(a1)))) % 186.59/186.35 [6838]P1(f862(f862(f228(a1),x68381),x68382))+~P1(f862(f862(f227(a1),x68381),f862(f862(f3(a1),x68382),f71(a1)))) % 186.59/186.35 [6840]P1(f862(f862(f84(a1),x68401),x68402))+~P1(f862(f862(f84(a1),f862(f96(a1),x68401)),f862(f96(a1),x68402))) % 186.59/186.35 [6842]P1(f862(f862(f227(a924),x68421),x68422))+~P1(f862(f862(f227(a1),f862(f93(a1),x68421)),f862(f93(a1),x68422))) % 186.59/186.35 [6843]P1(f862(f862(f227(a1),x68431),x68432))+~P1(f862(f862(f227(a1),f862(f96(a1),x68431)),f862(f96(a1),x68432))) % 186.59/186.35 [6845]P1(f862(f862(f228(a924),x68451),x68452))+~P1(f862(f862(f228(a1),f862(f93(a1),x68451)),f862(f93(a1),x68452))) % 186.59/186.35 [6846]P1(f862(f862(f228(a1),x68461),x68462))+~P1(f862(f862(f228(a924),f862(f96(a924),x68461)),f862(f96(a924),x68462))) % 186.59/186.35 [6847]P1(f862(f862(f228(a1),x68471),x68472))+~P1(f862(f862(f228(a1),f862(f96(a1),x68471)),f862(f96(a1),x68472))) % 186.59/186.35 [6919]~E(f281(a924,f278(a924),x69191,x69192),f181(f932(a924,a921)))+~P1(f862(f862(f278(a924),x69191),x69192)) % 186.59/186.35 [6944]~E(f702(x69442,x69441),f106(x69441))+E(f862(f135(f925(x69441),f925(x69441),f127(x69441),f106(x69441)),x69442),f106(x69441)) % 186.59/186.35 [6945]~E(f703(x69452,x69451),f106(x69451))+E(f862(f135(f925(x69451),f925(x69451),f127(x69451),f106(x69451)),x69452),f106(x69451)) % 186.59/186.35 [6949]~P3(x69491)+E(f862(f135(x69491,x69491,f94(x69491),f234(x69491)),x69492),f31(x69491,f862(f165(x69491),x69492))) % 186.59/186.35 [6950]~P3(x69501)+E(f862(f135(x69501,x69501,f103(x69501),f181(x69501)),x69502),f30(x69501,f862(f165(x69501),x69502))) % 186.59/186.35 [6964]E(x69641,f2(a92))+E(f862(f862(f73(a924),f862(a22,f862(f862(f3(a92),x69641),f71(a92)))),f862(a105,x69642)),f862(f862(f73(a924),f862(a22,x69641)),x69642)) % 186.59/186.35 [7014]P1(f862(f862(f228(a1),f862(f862(f3(a1),x70141),x70142)),f2(a1)))+~P1(f862(f862(f228(a1),x70141),x70142)) % 186.59/186.35 [7039]~P109(x70391)+E(f862(f862(f103(f932(x70391,a921)),f862(f862(f301(x70391),x70392),f181(f932(x70391,a921)))),f862(f293(x70391),x70392)),f862(f274(x70391),x70392)) % 186.59/186.35 [7116]~P57(x71161,x71162)+P35(x71161,f862(f254(f931(x71161,x71161)),f862(f249(x71161,x71161,a921),x71162))) % 186.59/186.35 [7117]~P57(x71171,x71172)+P55(x71171,f862(f254(f931(x71171,x71171)),f862(f249(x71171,x71171,a921),x71172))) % 186.59/186.35 [7118]~P47(x71181,x71182)+P36(x71181,f862(f254(f931(x71181,x71181)),f862(f249(x71181,x71181,a921),x71182))) % 186.59/186.35 [7119]~P48(x71191,x71192)+P49(x71191,f862(f254(f931(x71191,x71191)),f862(f249(x71191,x71191,a921),x71192))) % 186.59/186.35 [7120]E(x71201,f181(f932(x71202,a921)))+~P1(f862(f862(f227(f932(x71202,a921)),x71201),f181(f932(x71202,a921)))) % 186.59/186.35 [7202]~P1(f862(f862(f228(a924),f2(a924)),x72022))+P1(f862(f862(f227(a924),f38(a924,x72021,x72022)),x72022)) % 186.59/186.35 [7203]~P1(f862(f862(f227(a1),f2(a1)),x72031))+P1(f862(f862(f227(a1),f38(a1,x72031,x72032)),x72031)) % 186.59/186.35 [7204]~P1(f862(f862(f228(a924),f2(a924)),x72042))+P1(f862(f862(f228(a924),f38(a924,x72041,x72042)),x72042)) % 186.59/186.35 [7206]~P1(f862(f862(f228(a1),f2(a1)),x72062))+P1(f862(f862(f228(a1),f38(a1,x72061,x72062)),x72062)) % 186.59/186.35 [7283]~P110(x72831)+E(f862(f862(f3(f932(x72831,a921)),f862(f862(f301(x72831),x72832),f181(f932(x72831,a921)))),f862(f292(x72831),x72832)),f862(f862(f301(x72831),x72832),f181(f932(x72831,a921)))) % 186.59/186.35 [7358]~P46(x73581,x73582)+P50(x73581,f234(f932(x73581,a921)),f862(f254(f931(x73581,x73581)),f862(f249(x73581,x73581,a921),x73582))) % 186.59/186.35 [7359]P1(f862(x73591,x73592))+P1(f862(f862(f321(f932(f931(a924,a924),a921)),f578(x73592,x73591)),a91)) % 186.59/186.35 [7404]E(f862(f862(f127(a924),f132(a924,f862(f295(a924,x74041),x74042))),f862(f862(f144(a924),x74042),f106(a924))),f132(a924,f862(f295(a924,x74041),f862(a105,x74042))))+~P1(f862(f862(f227(a924),x74041),x74042)) % 186.59/186.35 [7556]E(x75561,f2(a924))+~E(f862(f135(a924,a924,f73(a924),x75561),x75562),f2(a924)) % 186.59/186.35 [7580]~P1(f862(f862(f228(a1),f862(f862(f3(a1),x75801),x75802)),f2(a1)))+P1(f862(f862(f228(a1),x75801),x75802)) % 186.59/186.35 [7608]P35(x76081,x76082)+~P35(x76081,f862(f862(f280(x76081,x76081,x76081),x76082),x76082)) % 186.59/186.35 [7633]~P1(f862(f862(f227(a924),f862(a105,x76331)),x76332))+P1(f178(a921,a231,f862(f227(a924),x76331),x76332)) % 186.59/186.35 [7786]P22(a924,a924,f862(f862(f9(a924,a924,a924),f3(a924)),x77861),x77862)+P1(f862(f862(f321(a924),f592(x77861,x77862)),x77862)) % 186.59/186.35 [7844]E(f862(f862(f862(f58(a924,x78441,f73(a924)),f862(f18(a924,x78441),f71(a924))),f2(a924)),x78442),f862(f28(x78441),x78442))+~P1(f862(f54(x78441),x78442)) % 186.59/186.35 [7886]P22(a924,a924,f862(f862(f9(a924,a924,a924),f3(a924)),x78861),x78862)+~P1(f862(f862(f227(a924),x78861),f592(x78861,x78862))) % 186.59/186.35 [7942]P35(x79421,x79422)+P1(f862(f862(f227(f932(x79421,a921)),f589(x79422,x79421)),f862(f276(x79421,x79421,x79422),f589(x79422,x79421)))) % 186.59/186.35 [7947]P57(x79471,x79472)+~P35(x79471,f862(f254(f931(x79471,x79471)),f862(f249(x79471,x79471,a921),x79472))) % 186.59/186.35 [7948]P47(x79481,x79482)+~P36(x79481,f862(f254(f931(x79481,x79481)),f862(f249(x79481,x79481,a921),x79482))) % 186.59/186.35 [7949]P48(x79491,x79492)+~P49(x79491,f862(f254(f931(x79491,x79491)),f862(f249(x79491,x79491,a921),x79492))) % 186.59/186.35 [8016]P1(f862(f862(f227(a924),f862(a105,x80161)),x80162))+~P1(f178(a921,a231,f862(f227(a924),x80161),x80162)) % 186.59/186.35 [8073]P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),x80731),x80732)),f299(a924,a309)))+~P1(f862(f862(f227(a924),x80731),x80732)) % 186.59/186.35 [8172]P46(x81721,x81722)+~P50(x81721,f234(f932(x81721,a921)),f862(f254(f931(x81721,x81721)),f862(f249(x81721,x81721,a921),x81722))) % 186.59/186.35 [8228]~P1(f862(f130(x82281),x82282))+P1(f862(f130(f932(x82281,a921)),f862(f862(f147(f925(x82281),f932(x82281,a921)),f165(x82281)),f47(x82281,x82282)))) % 186.59/186.35 [8431]~P35(x84311,f862(f277(x84311,x84311),x84312))+P35(x84311,f862(f277(x84311,x84311),f862(f862(f280(x84311,x84311,x84311),x84312),f299(x84311,x84312)))) % 186.59/186.35 [8529]P23(x85291,a924,f826(x85292,x85291),x85292,f862(f295(a924,f2(a924)),f862(f28(x85291),x85292)))+~P1(f862(f54(x85291),x85292)) % 186.59/186.35 [8530]P23(a924,x85301,f827(x85302,x85301),f862(f295(a924,f2(a924)),f862(f28(x85301),x85302)),x85302)+~P1(f862(f54(x85301),x85302)) % 186.59/186.35 [8547]P23(a924,x85471,f828(x85472,x85471),f296(a924,f71(a924),f862(f28(x85471),x85472)),x85472)+~P1(f862(f54(x85471),x85472)) % 186.59/186.35 [8556]P1(f862(f54(f931(x85561,x85561)),f862(f862(f280(x85561,x85561,x85561),x85562),f299(x85561,x85562))))+~P1(f862(f54(f931(x85561,x85561)),x85562)) % 186.59/186.35 [8583]E(x85831,f2(a1))+P1(f862(f42(x85832,x85831),f862(f862(f244(a1,a1),f862(f862(f29(a1),x85832),x85831)),f38(a1,x85832,x85831)))) % 186.59/186.35 [8597]~P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),x85971),x85972)),f299(a924,a309)))+P1(f862(f862(f227(a924),x85971),x85972)) % 186.59/186.35 [8613]~P81(x86131)+E(f862(f135(x86131,x86131,f862(f9(x86131,x86131,x86131),f73(x86131)),f2(x86131)),f862(f161(x86131),x86132)),f862(f135(x86131,x86131,f73(x86131),f2(x86131)),x86132)) % 186.59/186.35 [8787]~P109(x87871)+E(f862(f135(f925(x87871),x87871,f862(f9(x87871,f925(x87871),f925(x87871)),f141(x87871,x87871,f7(x87871))),f106(x87871)),x87872),f143(x87871,x87871,f7(x87871),x87872)) % 186.59/186.35 [8899]~P55(x88991,f862(f254(f931(x88991,x88991)),f862(f249(x88991,x88991,a921),x88992)))+P55(x88991,f862(f254(f931(x88991,x88991)),f862(f249(x88991,x88991,a921),f235(x88991,x88991,x88992)))) % 186.59/186.35 [8913]P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),x89131),x89132)),f862(f862(f280(a924,a924,a924),a309),f299(a924,a309))))+~P1(f862(f862(f228(a924),x89131),x89132)) % 186.59/186.35 [8959]~P1(f862(f54(f931(x89591,x89591)),f862(f862(f280(x89591,x89591,x89591),x89592),f299(x89591,x89592))))+P1(f862(f54(f931(x89591,x89591)),x89592)) % 186.59/186.35 [9017]~P55(x90171,f862(f254(f931(x90171,x90171)),f862(f249(x90171,x90171,a921),f235(x90171,x90171,x90172))))+P55(x90171,f862(f254(f931(x90171,x90171)),f862(f249(x90171,x90171,a921),x90172))) % 186.59/186.35 [9216]P55(x92161,x92162)+P1(f862(f862(f321(f931(x92161,x92161)),f862(f862(f244(x92161,x92161),f621(x92162,x92161)),f621(x92162,x92161))),f862(f862(f280(x92161,x92161,x92161),x92162),f299(x92161,x92162)))) % 186.59/186.35 [9217]P55(x92171,x92172)+P1(f862(f862(f321(f931(x92171,x92171)),f862(f862(f244(x92171,x92171),f630(x92172,x92171)),f630(x92172,x92171))),f862(f862(f280(x92171,x92171,x92171),x92172),f299(x92171,x92172)))) % 186.59/186.35 [9336]~P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),x93361),x93362)),f862(f862(f280(a924,a924,a924),a309),f299(a924,a309))))+P1(f862(f862(f228(a924),x93361),x93362)) % 186.59/186.35 [10091]E(f862(f87(x100911),f879(x100912,x100911)),x100912)+~P1(f862(f862(f321(f932(f922(f930(a919,f932(x100911,f932(a920,a921))),f930(a920,x100911)),a921)),x100912),f862(f254(f932(f922(f930(a919,f932(x100911,f932(a920,a921))),f930(a920,x100911)),a921)),f88(x100911)))) % 186.59/186.35 [10092]E(f862(f87(x100921),f862(f85(x100921),x100922)),x100922)+~P1(f862(f862(f321(f932(f922(f930(a919,f932(x100921,f932(a920,a921))),f930(a920,x100921)),a921)),x100922),f862(f254(f932(f922(f930(a919,f932(x100921,f932(a920,a921))),f930(a920,x100921)),a921)),f88(x100921)))) % 186.59/186.35 [5252]~P98(x52521)+E(f862(f862(f73(x52521),f862(f96(x52521),a76)),x52522),x52522) % 186.59/186.35 [5281]~P96(x52811)+E(f862(f862(f103(x52811),f862(f72(x52811),x52812)),x52812),f234(x52811)) % 186.59/186.35 [5282]~P96(x52821)+E(f862(f862(f94(x52821),f862(f72(x52821),x52822)),x52822),f181(x52821)) % 186.59/186.35 [5283]~P59(x52831)+E(f862(f862(f73(x52831),f862(f72(x52831),x52832)),x52832),f2(x52831)) % 186.59/186.35 [5284]~P68(x52841)+E(f862(f862(f73(x52841),f862(f72(x52841),x52842)),x52842),f2(x52841)) % 186.59/186.35 [5317]~P98(x53171)+E(f862(f862(f74(x53171),f862(f96(x53171),a90)),x53172),f862(f72(x53171),x53172)) % 186.59/186.35 [5477]~P115(x54771)+E(f862(f862(f74(x54771),f862(f72(x54771),f71(x54771))),x54772),f862(f72(x54771),x54772)) % 186.59/186.35 [5522]E(f862(f69(a1),x55221),f71(a1))+~E(f862(f69(a1),f862(f862(f74(a1),x55221),x55222)),f71(a1)) % 186.59/186.35 [5614]~P98(x56141)+E(f862(f862(f73(x56141),f71(x56141)),f862(f96(x56141),x56142)),f862(f96(x56141),f862(f862(f3(a1),x56142),a90))) % 186.59/186.35 [5666]~P3(x56661)+E(f31(x56661,f862(f862(f301(x56661),x56662),f181(f932(x56661,a921)))),x56662) % 186.59/186.35 [5667]~P3(x56671)+E(f30(x56671,f862(f862(f301(x56671),x56672),f181(f932(x56671,a921)))),x56672) % 186.59/186.35 [5668]~P93(x56681)+E(f12(x56681,f862(f862(f301(x56681),x56682),f181(f932(x56681,a921)))),x56682) % 186.59/186.35 [5669]~P93(x56691)+E(f15(x56691,f862(f862(f301(x56691),x56692),f181(f932(x56691,a921)))),x56692) % 186.59/186.35 [5670]~P109(x56701)+E(f16(x56701,f862(f862(f301(x56701),x56702),f181(f932(x56701,a921)))),x56702) % 186.59/186.35 [5671]~P109(x56711)+E(f17(x56711,f862(f862(f301(x56711),x56712),f181(f932(x56711,a921)))),x56712) % 186.59/186.35 [5693]E(f862(f862(f73(a924),x56931),f862(f862(f3(a924),x56932),x56931)),x56932)+P1(f862(f862(f228(a924),x56932),x56931)) % 186.59/186.35 [5730]E(x57301,f106(x57302))+P1(f862(f862(f228(a924),f2(a924)),f862(f182(f925(x57302)),x57301))) % 186.59/186.35 [5858]~P109(x58581)+E(f13(x58581,f225(x58581),f862(f862(f301(x58581),x58582),f181(f932(x58581,a921)))),x58582) % 186.59/186.35 [5859]~P109(x58591)+E(f14(x58591,f226(x58591),f862(f862(f301(x58591),x58592),f181(f932(x58591,a921)))),x58592) % 186.59/186.35 [5920]E(f862(f862(f3(a924),x59201),f862(f862(f3(a924),x59201),x59202)),x59202)+~P1(f862(f862(f227(a924),x59202),x59201)) % 186.59/186.35 [5921]E(f862(f862(f73(a924),x59211),f862(f862(f3(a924),x59212),x59211)),x59212)+~P1(f862(f862(f227(a924),x59211),x59212)) % 186.59/186.35 [5943]E(f38(a924,f862(f862(f3(a924),x59431),x59432),x59432),f38(a924,x59431,x59432))+P1(f862(f862(f228(a924),x59431),x59432)) % 186.59/186.35 [5954]E(f862(f72(a1),f862(f862(f29(a1),x59541),f862(f72(a1),x59542))),f284(x59541,x59542))+P1(f862(f862(f227(a1),f2(a1)),x59542)) % 186.59/186.35 [5956]~E(x59562,f2(a924))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f236(a924),x59561),x59562))) % 186.59/186.35 [6010]~P98(x60101)+E(f862(f862(f73(x60101),f862(f72(x60101),f71(x60101))),f862(f96(x60101),x60102)),f862(f96(x60101),f862(f862(f73(a1),x60102),a90))) % 186.59/186.35 [6012]E(f862(f862(f236(a924),f862(f96(a924),x60121)),x60122),f862(f862(f236(a924),f2(a924)),x60122))+~P1(f862(a186,f862(f96(a1),x60121))) % 186.59/186.35 [6119]E(f862(f134(a924),f132(a924,f862(f295(a924,x61191),x61192))),x61191)+~P1(f862(f862(f228(a924),x61191),x61192)) % 186.59/186.35 [6135]E(f862(f862(f74(a924),f862(f96(a924),x61351)),f862(f96(a924),x61352)),f862(f96(a924),f862(f862(f74(a1),x61351),x61352)))+P1(f862(f862(f228(a1),x61351),a76)) % 186.59/186.35 [6141]~P129(x61411)+P1(f862(f862(f227(x61411),f2(x61411)),f862(f862(f74(x61411),x61412),x61412))) % 186.59/186.35 [6153]E(f862(f862(f3(a924),f862(a105,x61531)),x61532),f862(a105,f862(f862(f3(a924),x61531),x61532)))+~P1(f862(f862(f227(a924),x61532),x61531)) % 186.59/186.35 [6157]E(f38(a924,f862(f862(f3(a924),x61571),x61572),x61572),f38(a924,x61571,x61572))+~P1(f862(f862(f227(a924),x61572),x61571)) % 186.59/186.35 [6212]E(f862(f862(f236(a924),f862(a97,x62121)),x62122),f862(a97,f862(f862(f236(a1),x62121),x62122)))+~P1(f862(f862(f227(a1),f2(a1)),x62121)) % 186.59/186.35 [6230]P1(f862(f130(x62301),x62302))+P1(f862(f862(f228(a924),f673(x62302,x62301)),f862(f182(f925(x62301)),x62302))) % 186.59/186.35 [6231]P1(f862(f130(x62311),x62312))+P1(f862(f862(f228(a924),f677(x62312,x62311)),f862(f182(f925(x62311)),x62312))) % 186.59/186.35 [6245]~E(x62451,f106(x62452))+~P1(f862(f862(f228(a924),f2(a924)),f862(f182(f925(x62452)),x62451))) % 186.59/186.35 [6256]E(f137(a924,f132(a924,f862(f295(a924,x62561),x62562))),f862(f862(f3(a924),x62562),f71(a924)))+~P1(f862(f862(f228(a924),x62561),x62562)) % 186.59/186.35 [6259]E(f862(f862(f73(a1),x62591),f862(f93(a1),f862(a105,f411(x62592,x62591)))),x62592)+~P1(f862(f862(f228(a1),x62591),x62592)) % 186.59/186.35 [6266]E(x62661,f2(a924))+E(f862(f862(f74(a924),x62662),f862(f862(f236(a924),x62662),f862(f862(f3(a924),x62661),f71(a924)))),f862(f862(f236(a924),x62662),x62661)) % 186.59/186.35 [6294]E(f862(f862(f74(a924),f862(a97,x62941)),f862(a97,x62942)),f862(a97,f862(f862(f74(a1),x62941),x62942)))+~P1(f862(f862(f227(a1),f2(a1)),x62941)) % 186.59/186.35 [6295]E(f862(f862(f29(a924),f862(a97,x62951)),f862(a97,x62952)),f862(a97,f862(f862(f29(a1),x62951),x62952)))+~P1(f862(f862(f227(a1),f2(a1)),x62951)) % 186.59/186.35 [6310]~P119(x63101)+E(f862(f862(f73(x63101),x63102),x63102),f862(f862(f74(x63101),f862(f862(f73(x63101),f71(x63101)),f71(x63101))),x63102)) % 186.59/186.35 [6331]E(f862(f862(f3(a1),f862(f93(a1),x63311)),f862(f93(a1),x63312)),f862(f93(a1),f862(f862(f3(a924),x63311),x63312)))+~P1(f862(f862(f227(a924),x63312),x63311)) % 186.59/186.35 [6333]E(f862(f862(f244(a1,a1),f862(f96(a1),a90)),f862(f862(f73(a1),x63331),x63332)),f43(x63331,x63332))+~P1(f862(f862(f227(a1),x63332),f2(a1))) % 186.59/186.35 [6368]E(f172(x63681,x63682),f106(f925(x63681)))+P1(f862(f862(f321(f925(x63681)),f672(x63682,x63681)),f862(f165(f925(x63681)),x63682))) % 186.59/186.35 [6378]E(f109(a1,f862(f122(a1),x63781),f121(x63782,f862(f862(f73(a1),x63781),f71(a1)))),f121(x63782,x63781))+P1(f862(f862(f228(a1),x63782),x63781)) % 186.59/186.35 [6432]~P1(f862(f862(f278(a924),x64321),x64322))+P1(f862(f862(f278(a924),x64321),f862(f862(f73(a924),x64322),x64321))) % 186.59/186.35 [6454]E(f862(f862(f144(a1),x64541),f171(f862(f862(f73(a1),x64541),f71(a1)),x64542)),f171(x64541,x64542))+~P1(f862(f862(f227(a1),x64541),x64542)) % 186.59/186.35 [6496]~P1(f862(f862(f228(a924),x64962),x64961))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f3(a924),x64961),x64962))) % 186.59/186.35 [6530]~P1(f862(f862(f228(a924),x65301),f862(a97,x65302)))+P1(f862(f862(f228(a1),f862(f93(a1),x65301)),x65302)) % 186.59/186.35 [6558]~P109(x65581)+E(f862(f862(f103(f932(x65581,a921)),f862(f292(x65581),x65582)),f862(f862(f301(x65581),x65582),f181(f932(x65581,a921)))),f862(f294(x65581),x65582)) % 186.59/186.35 [6559]~P1(f862(f862(f227(a1),f2(a1)),x65591))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f236(a1),x65591),x65592))) % 186.59/186.35 [6562]~P1(f862(f862(f228(a924),f2(a924)),x65621))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f236(a924),x65621),x65622))) % 186.59/186.35 [6590]~E(f862(x65901,f2(a924)),f2(a924))+E(f862(f862(f8(a924,a924),x65901),f296(a924,f862(a105,f2(a924)),x65902)),f862(f862(f8(a924,a924),x65901),f296(a924,f2(a924),x65902))) % 186.59/186.35 [6654]~P98(x66541)+E(f862(f862(f74(x66541),f862(f862(f73(x66541),f71(x66541)),f71(x66541))),f862(f96(x66541),x66542)),f862(f96(x66541),f862(f862(f73(a1),x66542),x66542))) % 186.59/186.35 [6672]E(f862(f862(f301(a1),x66721),f296(a1,f862(f862(f73(a1),x66721),f71(a1)),x66722)),f296(a1,x66721,x66722))+P1(f862(f862(f228(a1),x66722),x66721)) % 186.59/186.35 [6673]P1(f862(f862(f228(a924),x66731),f862(a97,x66732)))+~P1(f862(f862(f228(a1),f862(f93(a1),x66731)),x66732)) % 186.59/186.35 [6774]P1(f862(f862(f278(a924),x67741),x67742))+~P1(f862(f862(f278(a924),x67741),f862(f862(f73(a924),x67742),x67741))) % 186.59/186.35 [6780]E(f862(a97,f862(f862(f29(a1),f862(f96(a1),x67801)),f862(f96(a1),x67802))),f862(f862(f29(a924),f862(f96(a924),x67801)),f862(f96(a924),x67802)))+P1(f862(a186,f862(f96(a1),x67801))) % 186.59/186.35 [6839]P1(f862(f862(f228(a924),x68391),x68392))+~P1(f862(f862(f228(a924),f2(a924)),f862(f862(f3(a924),x68392),x68391))) % 186.59/186.35 [6883]P1(f862(f862(f228(a924),f2(a924)),x68831))+~P1(f862(f862(f228(a924),f2(a924)),f862(f862(f74(a924),x68832),x68831))) % 186.59/186.35 [6884]P1(f862(f862(f228(a924),f2(a924)),x68841))+~P1(f862(f862(f228(a924),f2(a924)),f862(f862(f74(a924),x68841),x68842))) % 186.59/186.35 [6902]~P1(f862(f862(f227(a1),x69021),f2(a1)))+E(f862(f862(f74(a924),f862(a97,f862(f72(a1),x69021))),f862(a97,f862(f72(a1),x69022))),f862(a97,f862(f862(f74(a1),x69021),x69022))) % 186.59/186.35 [6961]~E(x69612,f181(f932(x69611,a921)))+P1(f862(f862(f227(f932(x69611,a921)),x69612),f862(f72(f932(x69611,a921)),x69612))) % 186.59/186.35 [7024]~P98(x70241)+E(f862(f862(f73(x70241),f862(f862(f73(x70241),f2(x70241)),f862(f96(x70241),x70242))),f862(f96(x70241),x70242)),f862(f96(x70241),f862(f862(f73(a1),x70242),x70242))) % 186.59/186.35 [7080]~P1(f862(f862(f228(a1),x70801),x70802))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x70801),f71(a1))),x70802)) % 186.59/186.35 [7149]E(x71491,f2(a924))+~P1(f862(f862(f227(a1),f862(f93(a1),x71492)),f862(f72(a1),f862(f93(a1),x71491)))) % 186.59/186.35 [7150]E(x71501,f2(a924))+~P1(f862(f862(f227(a1),f862(f93(a1),x71501)),f862(f72(a1),f862(f93(a1),x71502)))) % 186.59/186.35 [7250]E(f862(f862(f244(a1,a1),f862(f96(a1),a90)),f862(f862(f73(a1),x72501),x72502)),f43(x72501,x72502))+~P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),x72501),x72502))) % 186.59/186.35 [7295]~P24(x72951,x72952)+P35(x72951,f862(f243(f932(f931(x72951,x72951),a921),f932(f931(x72951,x72951),a921)),x72952)) % 186.59/186.35 [7314]~P1(f862(f862(f227(a924),f862(a105,f2(a924))),x73141))+P1(f862(f862(f227(a924),f862(a105,f2(a924))),f862(f862(f236(a924),x73141),x73142))) % 186.59/186.35 [7484]~P1(f862(f862(f84(a1),x74841),x74842))+P1(f862(f862(f84(a1),f862(f862(f73(a1),x74841),x74841)),f862(f862(f73(a1),x74842),x74842))) % 186.59/186.35 [7496]~P1(f862(f862(f227(a1),x74961),x74962))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x74961),x74961)),f862(f862(f73(a1),x74962),x74962))) % 186.59/186.35 [7501]~P1(f862(f862(f228(a1),x75011),x75012))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x75011),x75011)),f862(f862(f73(a1),x75012),x75012))) % 186.59/186.35 [7557]~P1(f862(f862(f228(a924),f2(a924)),x75571))+P1(f862(f862(f228(a924),f862(f862(f3(a924),x75571),f862(a105,x75572))),x75571)) % 186.59/186.35 [7590]P1(f862(f862(f227(a924),f862(a105,f2(a924))),x75901))+~P1(f862(f862(f227(a924),f862(a105,f2(a924))),f862(f862(f74(a924),x75902),x75901))) % 186.59/186.35 [7591]P1(f862(f862(f227(a924),f862(a105,f2(a924))),x75911))+~P1(f862(f862(f227(a924),f862(a105,f2(a924))),f862(f862(f74(a924),x75911),x75912))) % 186.59/186.35 [7595]P1(f862(f862(f227(a924),f862(f862(f157(a924),x75951),x75952)),f862(f158(a924),x75951)))+~P1(f862(f862(f228(a924),x75952),f862(f182(f925(a924)),x75951))) % 186.59/186.35 [7632]P1(f862(f862(f228(a1),x76321),x76322))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x76321),f71(a1))),x76322)) % 186.59/186.35 [7673]P1(f862(f54(x76731),f234(f932(x76731,a921))))+~P1(f862(f54(f932(x76732,x76731)),f234(f932(f932(x76732,x76731),a921)))) % 186.59/186.35 [7674]P1(f862(f54(x76741),f234(f932(x76741,a921))))+~P1(f862(f54(f930(x76742,x76741)),f234(f932(f930(x76742,x76741),a921)))) % 186.59/186.35 [7675]P1(f862(f54(x76751),f234(f932(x76751,a921))))+~P1(f862(f54(f930(x76751,x76752)),f234(f932(f930(x76751,x76752),a921)))) % 186.59/186.35 [7713]E(x77131,f181(f932(x77132,a921)))+~P1(f862(f862(f227(f932(x77132,a921)),x77131),f862(f72(f932(x77132,a921)),x77131))) % 186.59/186.35 [7854]E(f862(f135(f925(x78541),f925(x78541),f127(x78541),f106(x78541)),x78542),f106(x78541))+P1(f862(f862(f321(f925(x78541)),f702(x78542,x78541)),f862(f165(f925(x78541)),x78542))) % 186.59/186.35 [7855]E(f862(f135(f925(x78551),f925(x78551),f127(x78551),f106(x78551)),x78552),f106(x78551))+P1(f862(f862(f321(f925(x78551)),f703(x78552,x78551)),f862(f165(f925(x78551)),x78552))) % 186.59/186.35 [8089]P1(f862(f862(f84(a1),x80891),x80892))+~P1(f862(f862(f84(a1),f862(f862(f73(a1),x80891),x80891)),f862(f862(f73(a1),x80892),x80892))) % 186.59/186.35 [8092]P1(f862(f862(f227(a1),x80921),x80922))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x80921),x80921)),f862(f862(f73(a1),x80922),x80922))) % 186.59/186.35 [8097]P1(f862(f862(f228(a1),x80971),x80972))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),x80971),x80971)),f862(f862(f73(a1),x80972),x80972))) % 186.59/186.35 [8192]~P119(x81921)+E(f862(f862(f74(x81921),f862(f862(f73(x81921),f71(x81921)),f71(x81921))),f862(f862(f8(a924,x81921),f93(x81921)),f296(a924,f71(a924),x81922))),f862(f862(f74(x81921),f862(f93(x81921),x81922)),f862(f862(f73(x81921),f862(f93(x81921),x81922)),f71(x81921)))) % 186.59/186.35 [8242]P1(f862(f862(f321(a924),x82421),x82422))+~P1(f862(f862(f321(a1),f862(f93(a1),x82421)),f862(f302(a924,a1,f93(a1)),x82422))) % 186.59/186.35 [8403]~P1(f862(f54(x84031),x84032))+E(f862(f302(a924,x84031,f548(x84032,x84031)),f862(f254(a924),f862(f862(f9(a924,a924,a921),f228(a924)),f542(x84032,x84031)))),x84032) % 186.59/186.35 [8682]P51(x86821,x86822)+P1(f862(f862(f321(f931(x86821,x86821)),f862(f862(f244(x86821,x86821),f513(x86822,x86821)),f513(x86822,x86821))),x86822)) % 186.59/186.35 [8683]P36(x86831,x86832)+P1(f862(f862(f321(f931(x86831,x86831)),f862(f862(f244(x86831,x86831),f794(x86832,x86831)),f797(x86832,x86831))),x86832)) % 186.59/186.35 [8684]P36(x86841,x86842)+P1(f862(f862(f321(f931(x86841,x86841)),f862(f862(f244(x86841,x86841),f797(x86842,x86841)),f798(x86842,x86841))),x86842)) % 186.59/186.35 [8685]P37(x86851,x86852)+P1(f862(f862(f321(f931(x86851,x86851)),f862(f862(f244(x86851,x86851),f713(x86852,x86851)),f712(x86852,x86851))),x86852)) % 186.59/186.35 [8686]P37(x86861,x86862)+P1(f862(f862(f321(f931(x86861,x86861)),f862(f862(f244(x86861,x86861),f712(x86862,x86861)),f713(x86862,x86861))),x86862)) % 186.59/186.35 [8687]P49(x86871,x86872)+P1(f862(f862(f321(f931(x86871,x86871)),f862(f862(f244(x86871,x86871),f808(x86872,x86871)),f809(x86872,x86871))),x86872)) % 186.59/186.35 [8830]~P98(x88301)+E(f862(f862(f3(x88301),f71(x88301)),f862(f96(x88301),x88302)),f862(f96(x88301),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f72(a1),x88302)))) % 186.59/186.35 [8956]~P1(f862(f862(f228(f932(a924,a921)),x89561),x89562))+P1(f862(f862(f228(f932(a1,a921)),f862(f302(a924,a1,f93(a1)),x89561)),f862(f302(a924,a1,f93(a1)),x89562))) % 186.59/186.35 [8990]~P1(f862(f862(f228(a1),x89901),x89902))+P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x89901),x89901)),a90)),f862(f862(f73(a1),x89902),x89902))) % 186.59/186.35 [8992]~P1(f862(f862(f228(a1),x89921),x89922))+P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x89921),x89921)),a90)),f862(f862(f73(a1),x89922),x89922))) % 186.59/186.35 [9067]~P1(f862(f862(f321(a924),x90671),f862(f165(a924),x90672)))+P1(f862(f862(f227(a924),x90671),f862(f135(a924,a924,f73(a924),f2(a924)),x90672))) % 186.59/186.35 [9156]P43(x91561,x91562)+~P1(f862(f862(f321(f931(x91561,x91561)),f862(f862(f244(x91561,x91561),f493(x91562,x91561)),f493(x91562,x91561))),x91562)) % 186.59/186.35 [9157]P36(x91571,x91572)+~P1(f862(f862(f321(f931(x91571,x91571)),f862(f862(f244(x91571,x91571),f794(x91572,x91571)),f798(x91572,x91571))),x91572)) % 186.59/186.35 [9158]P49(x91581,x91582)+~P1(f862(f862(f321(f931(x91581,x91581)),f862(f862(f244(x91581,x91581),f809(x91582,x91581)),f808(x91582,x91581))),x91582)) % 186.59/186.35 [9298]~P1(f862(f862(f227(f932(a1,a921)),f862(f302(a924,a1,f93(a1)),x92981)),f862(f302(a924,a1,f93(a1)),x92982)))+P1(f862(f862(f227(f932(a924,a921)),x92981),x92982)) % 186.59/186.35 [9299]~P1(f862(f862(f228(f932(a1,a921)),f862(f302(a924,a1,f93(a1)),x92991)),f862(f302(a924,a1,f93(a1)),x92992)))+P1(f862(f862(f228(f932(a924,a921)),x92991),x92992)) % 186.59/186.35 [9384]P1(f862(f862(f228(a1),x93841),x93842))+~P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93841),x93841)),a90)),f862(f862(f73(a1),x93842),x93842))) % 186.59/186.35 [9386]P1(f862(f862(f228(a1),x93861),x93862))+~P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x93861),x93861)),a90)),f862(f862(f73(a1),x93862),x93862))) % 186.59/186.35 [10291]~P106(x102911)+E(f109(f925(x102911),f862(f122(f925(x102911)),f106(x102911)),f862(f862(f862(f89(f926(f925(x102911))),f862(f862(f228(a1),f2(a1)),x102912)),f862(f111(f931(x102911,f925(x102911)),f925(x102911),f124(x102911,f925(x102911),f125(x102911,f862(f862(f3(a1),x102912),f71(a1))),f125(f925(x102911),f862(f862(f3(a1),x102912),f71(a1))))),f862(f249(x102911,f925(x102911),f926(f925(x102911))),f862(f862(f10(f932(f925(x102911),f925(x102911)),f932(f925(x102911),f926(f925(x102911))),x102911),f862(f10(f925(x102911),f926(f925(x102911)),f925(x102911)),f122(f925(x102911)))),f144(x102911))))),f108(f925(x102911)))),f125(f925(x102911),x102912)) % 186.59/186.35 [10313]~P1(f862(f54(x103131),x103132))+E(f862(f182(f925(x103131)),f83(f925(x103131),f862(f862(f20(f925(x103131),a921,a921),f862(f862(f10(a921,f932(a921,a921),f925(x103131)),a318),f862(f862(f9(f925(x103131),f932(x103131,a921),a921),f862(f862(f10(f932(x103131,a921),f932(f932(x103131,a921),a921),f925(x103131)),a317),f165(x103131))),x103132))),f130(x103131)))),f207(x103131,x103132)) % 186.59/186.35 [6255]E(f862(f862(f73(a924),f862(f862(f3(a924),x62551),x62552)),x62552),x62551)+~P1(f862(f862(f227(a924),x62552),x62551)) % 186.59/186.35 [6327]E(f862(f862(f29(a924),f862(f862(f74(a924),x63271),x63272)),x63272),x63271)+~P1(f862(f862(f228(a924),f2(a924)),x63272)) % 186.59/186.35 [6328]E(f862(f862(f29(a924),f862(f862(f74(a924),x63281),x63282)),x63281),x63282)+~P1(f862(f862(f228(a924),f2(a924)),x63281)) % 186.59/186.35 [6332]~P72(x63321)+E(f862(f862(f8(a924,x63321),f862(f157(x63321),x63322)),f862(f295(a924,f2(a924)),f862(f182(f925(x63321)),x63322))),f862(f158(x63321),x63322)) % 186.59/186.35 [6446]E(f38(a924,f862(a105,f862(f862(f74(a924),x64461),x64462)),x64461),f71(a924))+~P1(f862(f862(f228(a924),f71(a924)),x64461)) % 186.59/186.35 [6452]E(f862(a105,f862(f862(f73(a924),f862(f96(a924),x64521)),x64522)),f862(f862(f73(a924),f71(a924)),x64522))+~P1(f862(a186,f862(f96(a1),x64521))) % 186.59/186.35 [6481]E(f862(a97,f862(f862(f236(a1),f862(f96(a1),x64811)),x64812)),f862(f862(f236(a924),f862(f96(a924),x64811)),x64812))+P1(f862(a186,f862(f96(a1),x64811))) % 186.59/186.35 [6728]E(f862(f862(f3(a924),x67281),f862(f96(a924),f862(f862(f73(a1),x67282),a90))),f862(f862(f3(a924),f862(a105,x67281)),f862(f96(a924),x67282)))+~P1(f862(f862(f228(a1),a76),x67282)) % 186.59/186.35 [6810]E(x68101,f2(a924))+E(f862(a105,f862(f862(f73(a924),f862(f862(f3(a924),x68101),f71(a924))),x68102)),f862(f862(f73(a924),x68101),x68102)) % 186.59/186.35 [6853]E(x68531,f2(a1))+P1(f862(f862(f228(a1),f2(a1)),f862(f862(f236(a1),f862(f69(a1),x68531)),x68532))) % 186.59/186.35 [6868]~E(x68682,f2(a924))+P1(f862(f862(f228(a1),f2(a1)),f862(f862(f236(a1),f862(f69(a1),x68681)),x68682))) % 186.59/186.35 [6905]E(x69051,f2(a924))+E(f862(f862(f73(a924),x69052),f862(f862(f74(a924),f862(f862(f3(a924),x69051),f71(a924))),x69052)),f862(f862(f74(a924),x69051),x69052)) % 186.59/186.35 [6954]~P1(f862(f862(f227(a1),x69541),x69542))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x69541),a90)),x69542)) % 186.59/186.35 [7084]E(f862(f862(f144(a924),x70841),f132(a924,f862(f295(a924,f862(a105,x70841)),x70842))),f132(a924,f862(f295(a924,x70841),x70842)))+~P1(f862(f862(f228(a924),x70841),x70842)) % 186.59/186.35 [7286]E(x72861,x72862)+~E(f862(f862(f3(a1),f862(f862(f73(a1),x72861),x72861)),a90),f862(f862(f3(a1),f862(f862(f73(a1),x72862),x72862)),a90)) % 186.59/186.35 [7289]E(x72891,f106(x72892))+E(f258(x72892,f862(f862(f147(x72892,f931(a92,x72892)),f862(f244(a92,x72892),f71(a92))),x72891)),f267(x72892,x72891)) % 186.59/186.35 [7527]P1(f862(f862(f227(a1),x75271),x75272))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),x75271),a90)),x75272)) % 186.59/186.35 [7995]~P1(f862(f862(f228(a924),x79951),x79952))+P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),x79951),x79952)),a232)) % 186.59/186.35 [8219]~P1(f862(f862(f228(a92),f2(a92)),x82191))+P1(f862(f862(f228(a92),f862(f243(a92,f931(a92,a92)),f862(f259(x82191),x82192))),x82191)) % 186.59/186.35 [8484]~P36(x84841,x84842)+P36(x84841,f862(f862(f103(f932(f931(x84841,x84841),a921)),x84842),f299(x84841,f181(f932(f931(x84841,x84841),a921))))) % 186.59/186.35 [8485]~P37(x84851,x84852)+P37(x84851,f862(f862(f103(f932(f931(x84851,x84851),a921)),x84852),f299(x84851,f181(f932(f931(x84851,x84851),a921))))) % 186.59/186.35 [8533]~P86(x85331)+P1(f862(f862(f227(x85331),f862(f69(x85331),f862(f158(x85331),x85332))),f862(f158(x85331),f862(f862(f147(x85331,x85331),f69(x85331)),x85332)))) % 186.59/186.35 [8558]P1(f862(f862(f228(a924),x85581),x85582))+~P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),x85581),x85582)),a232)) % 186.59/186.35 [8707]E(f862(f862(f244(x87071,x87071),f646(x87072,x87071)),f646(x87072,x87071)),x87072)+~P1(f862(f862(f321(f931(x87071,x87071)),x87072),f299(x87071,f181(f932(f931(x87071,x87071),a921))))) % 186.59/186.35 [8752]E(f862(f295(a924,x87521),f862(f862(f73(a924),x87521),f862(f28(a924),x87522))),x87522)+~P1(f862(f862(f227(f932(a924,a921)),x87522),f862(f295(a924,x87521),f862(f862(f73(a924),x87521),f862(f28(a924),x87522))))) % 186.59/186.35 [8983]P37(x89831,x89832)+~P37(x89831,f862(f862(f103(f932(f931(x89831,x89831),a921)),x89832),f299(x89831,f181(f932(f931(x89831,x89831),a921))))) % 186.59/186.35 [9111]E(f862(f862(f29(a1),f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x91111),x91111)),a90))),f862(f96(a1),f862(f862(f73(a1),x91112),x91112))),f862(f862(f29(a1),f862(f96(a1),x91111)),f862(f96(a1),x91112)))+~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x91112))) % 186.59/186.35 [9201]~P36(x92011,x92012)+P1(f862(f862(f227(f932(f931(x92011,x92011),a921)),f862(f862(f280(x92011,x92011,x92011),x92012),x92012)),x92012)) % 186.59/186.35 [9227]E(f170(f925(x92271),f862(f862(f10(a921,a921,f925(x92271)),a314),f862(f862(f9(f925(x92271),f925(x92271),a921),a317),f106(x92271))),x92272),f172(x92271,f172(x92271,x92272)))+~P11(a924,f862(f161(a924),f862(f862(f147(f925(x92271),a924),f182(f925(x92271))),x92272))) % 186.59/186.35 [9230]E(f862(f862(f29(a1),f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x92301),x92301)),a90))),f862(f96(a1),f862(f862(f73(a1),x92302),x92302))),f862(f862(f29(a1),f862(f862(f73(a1),f862(f96(a1),x92301)),f71(a1))),f862(f96(a1),x92302)))+P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x92302))) % 186.59/186.35 [10082]P1(f862(a186,x100822))+E(f862(f862(f79(a1,a924),f862(f862(f3(a1),x100821),x100822)),f862(f862(f20(a1,a924,a924),f862(f862(f9(a1,a924,f932(a924,a924)),f862(f862(f10(a921,f932(a924,f932(a924,a924)),a1),f89(a924)),a186)),f2(a924))),a97)),f862(f862(f3(a924),f862(a97,x100821)),f862(a97,x100822))) % 186.59/186.35 [10090]E(f862(f862(f79(a1,a924),f862(f96(a1),f862(f862(f73(a1),x100901),f862(f72(a1),x100902)))),f862(f862(f20(a1,a924,a924),f862(f862(f9(a1,a924,f932(a924,a924)),f862(f862(f10(a921,f932(a924,f932(a924,a924)),a1),f89(a924)),a186)),f2(a924))),a97)),f862(f862(f3(a924),f862(f96(a924),x100901)),f862(f96(a924),x100902)))+P1(f862(f862(f228(a1),x100902),a76)) % 186.59/186.35 [10093]~P24(x100931,x100932)+P1(f862(f862(f227(f932(f931(x100931,x100931),a921)),f862(f862(f280(x100931,x100931,x100931),f862(f243(f932(f931(x100931,x100931),a921),f932(f931(x100931,x100931),a921)),x100932)),f862(f248(f932(f931(x100931,x100931),a921),f932(f931(x100931,x100931),a921)),x100932))),f862(f243(f932(f931(x100931,x100931),a921),f932(f931(x100931,x100931),a921)),x100932))) % 186.59/186.35 [10149]~E(f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,f932(a924,a921),a921),f321(a924)),x101491))),f862(f862(f9(a924,a924,a921),f228(a924)),f862(a105,x101492))))),f2(a924))+~P1(f862(f862(f321(a924),f2(a924)),x101491)) % 186.59/186.35 [10160]E(f290(a924,f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x101601,x101602),f181(f932(a924,a921)))+~P1(f862(f862(f278(a924),x101602),x101601)) % 186.59/186.35 [10165]E(f291(a924,f278(a924),f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x101651,x101652),f181(f932(a924,a921)))+P1(f862(f862(f278(a924),x101651),x101652)) % 186.59/186.35 [10166]E(f288(a924,f278(a924),f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x101661,x101662),f181(f932(a924,a921)))+P1(f862(f862(f278(a924),x101661),x101662)) % 186.59/186.35 [10170]E(f291(a924,f278(a924),f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x101701,x101702),f181(f932(a924,a921)))+~P1(f862(f862(f278(a924),x101702),x101701)) % 186.59/186.35 [10172]E(f288(a924,f278(a924),f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x101721,x101722),f181(f932(a924,a921)))+~P1(f862(f862(f278(a924),x101722),x101721)) % 186.59/186.35 [10216]E(f38(a1,f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x102161),x102161)),a90)),f862(f96(a1),f862(f862(f73(a1),x102162),x102162))),f862(f862(f73(a1),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f38(a1,f862(f96(a1),x102161),f862(f96(a1),x102162)))),f71(a1)))+~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x102162))) % 186.59/186.35 [10225]E(f38(a1,f862(f96(a1),f862(f862(f3(a1),f862(f862(f73(a1),x102251),x102251)),a90)),f862(f96(a1),f862(f862(f73(a1),x102252),x102252))),f862(f862(f3(a1),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f38(a1,f862(f862(f73(a1),f862(f96(a1),x102251)),f71(a1)),f862(f96(a1),x102252)))),f71(a1)))+P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x102252))) % 186.59/186.35 [10280]~P3(x102801)+E(f30(x102801,f862(f254(x102801),f862(f862(f10(f932(x102801,a921),a921,x102801),f81(x102801)),f862(f862(f10(f932(x102801,a921),f932(x102801,a921),x102801),f862(f20(x102801,a921,a921),f862(f862(f10(a921,f932(a921,a921),x102801),a322),f862(f862(f9(x102801,f932(x102801,a921),a921),f321(x102801)),x102802)))),f227(x102801))))),f31(x102801,x102802)) % 186.59/186.35 [10306]~P35(x103061,x103062)+P57(x103061,f862(f862(f9(x103061,f932(f931(x103061,x103061),a921),f932(x103061,a921)),f862(f862(f10(f932(x103061,f932(f932(f931(x103061,x103061),a921),a921)),f932(f932(f931(x103061,x103061),a921),f932(x103061,a921)),x103061),f9(x103061,f932(f931(x103061,x103061),a921),a921)),f862(f862(f10(f932(x103061,f931(x103061,x103061)),f932(x103061,f932(f932(f931(x103061,x103061),a921),a921)),x103061),f862(f10(f931(x103061,x103061),f932(f932(f931(x103061,x103061),a921),a921),x103061),f321(f931(x103061,x103061)))),f244(x103061,x103061)))),x103062)) % 186.59/186.35 [10307]~P6(x103071,f234(f932(x103071,a921)),x103072)+P5(x103071,f862(f862(f9(x103071,f932(f931(x103071,x103071),a921),f932(x103071,a921)),f862(f862(f10(f932(x103071,f932(f932(f931(x103071,x103071),a921),a921)),f932(f932(f931(x103071,x103071),a921),f932(x103071,a921)),x103071),f9(x103071,f932(f931(x103071,x103071),a921),a921)),f862(f862(f10(f932(x103071,f931(x103071,x103071)),f932(x103071,f932(f932(f931(x103071,x103071),a921),a921)),x103071),f862(f10(f931(x103071,x103071),f932(f932(f931(x103071,x103071),a921),a921),x103071),f321(f931(x103071,x103071)))),f244(x103071,x103071)))),x103072)) % 186.59/186.35 [10348]P35(x103481,x103482)+~P57(x103481,f862(f862(f9(x103481,f932(f931(x103481,x103481),a921),f932(x103481,a921)),f862(f862(f10(f932(x103481,f932(f932(f931(x103481,x103481),a921),a921)),f932(f932(f931(x103481,x103481),a921),f932(x103481,a921)),x103481),f9(x103481,f932(f931(x103481,x103481),a921),a921)),f862(f862(f10(f932(x103481,f931(x103481,x103481)),f932(x103481,f932(f932(f931(x103481,x103481),a921),a921)),x103481),f862(f10(f931(x103481,x103481),f932(f932(f931(x103481,x103481),a921),a921),x103481),f321(f931(x103481,x103481)))),f244(x103481,x103481)))),x103482)) % 186.59/186.35 [10349]P6(x103491,f234(f932(x103491,a921)),x103492)+~P5(x103491,f862(f862(f9(x103491,f932(f931(x103491,x103491),a921),f932(x103491,a921)),f862(f862(f10(f932(x103491,f932(f932(f931(x103491,x103491),a921),a921)),f932(f932(f931(x103491,x103491),a921),f932(x103491,a921)),x103491),f9(x103491,f932(f931(x103491,x103491),a921),a921)),f862(f862(f10(f932(x103491,f931(x103491,x103491)),f932(x103491,f932(f932(f931(x103491,x103491),a921),a921)),x103491),f862(f10(f931(x103491,x103491),f932(f932(f931(x103491,x103491),a921),a921),x103491),f321(f931(x103491,x103491)))),f244(x103491,x103491)))),x103492)) % 186.59/186.35 [7475]E(f862(f862(f73(a924),f862(f96(a924),f862(f862(f3(a1),x74751),a90))),x74752),f862(a105,f862(f862(f73(a924),f862(f96(a924),x74751)),x74752)))+P1(f862(a186,f862(f96(a1),x74751))) % 186.59/186.35 [7913]~P98(x79131)+E(f862(f862(f73(x79131),f862(f862(f73(x79131),f71(x79131)),f862(f96(x79131),x79132))),f862(f96(x79131),x79132)),f862(f96(x79131),f862(f862(f3(a1),f862(f862(f73(a1),x79132),x79132)),a90))) % 186.59/186.35 [8560]~P1(f862(f862(f227(a1),x85601),x85602))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x85601),x85601)),f862(f862(f3(a1),f862(f862(f73(a1),x85602),x85602)),a90))) % 186.59/186.35 [8562]~P1(f862(f862(f227(a1),x85621),x85622))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x85621),x85621)),f862(f862(f3(a1),f862(f862(f73(a1),x85622),x85622)),a90))) % 186.59/186.35 [8994]P1(f862(f862(f227(a1),x89941),x89942))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x89941),x89941)),f862(f862(f3(a1),f862(f862(f73(a1),x89942),x89942)),a90))) % 186.59/186.35 [8996]P1(f862(f862(f227(a1),x89961),x89962))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),x89961),x89961)),f862(f862(f3(a1),f862(f862(f73(a1),x89962),x89962)),a90))) % 186.59/186.35 [9285]~P1(f862(f862(f84(a1),x92851),x92852))+P1(f862(f862(f84(a1),f862(f862(f3(a1),f862(f862(f73(a1),x92851),x92851)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x92852),x92852)),a90))) % 186.59/186.35 [9287]~P1(f862(f862(f227(a1),x92871),x92872))+P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x92871),x92871)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x92872),x92872)),a90))) % 186.59/186.35 [9289]~P1(f862(f862(f228(a1),x92891),x92892))+P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x92891),x92891)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x92892),x92892)),a90))) % 186.59/186.35 [9559]P1(f862(f862(f84(a1),x95591),x95592))+~P1(f862(f862(f84(a1),f862(f862(f3(a1),f862(f862(f73(a1),x95591),x95591)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x95592),x95592)),a90))) % 186.59/186.35 [9561]P1(f862(f862(f227(a1),x95611),x95612))+~P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),x95611),x95611)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x95612),x95612)),a90))) % 186.59/186.35 [9563]P1(f862(f862(f228(a1),x95631),x95632))+~P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),x95631),x95631)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),x95632),x95632)),a90))) % 186.59/186.35 [9597]~P1(f862(f54(x95971),x95972))+P1(f862(f54(f932(x95971,a921)),f862(f254(f932(x95971,a921)),f862(f862(f9(f932(x95971,a921),f932(x95971,a921),a921),f227(f932(x95971,a921))),x95972)))) % 186.59/186.35 [9649]~E(f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),x96491),f181(f932(f931(a924,a924),a921)))),f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),x96492),f181(f932(f931(a924,a924),a921)))))+P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),x96491),x96492)),a101)) % 186.59/186.35 [9741]E(f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),x97411),f181(f932(f931(a924,a924),a921)))),f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),x97412),f181(f932(f931(a924,a924),a921)))))+~P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),x97411),x97412)),a101)) % 186.59/186.35 [9777]P1(f862(f862(f227(a1),f2(a1)),f649(x97771,x97772)))+E(f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x97771)),f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x97772))) % 186.59/186.35 [10288]~P3(x102881)+E(f31(x102881,f862(f254(x102881),f862(f862(f10(f932(x102881,a921),a921,x102881),f81(x102881)),f862(f862(f10(f932(x102881,a921),f932(x102881,a921),x102881),f862(f20(x102881,a921,a921),f862(f862(f10(a921,f932(a921,a921),x102881),a322),f862(f862(f9(x102881,f932(x102881,a921),a921),f321(x102881)),x102882)))),f862(f9(x102881,x102881,a921),f227(x102881)))))),f30(x102881,x102882)) % 186.59/186.35 [10312]P1(f862(f862(f321(a924),f2(a924)),x103121))+E(f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),a924),f321(a924)),a105)),x103121))),f862(f862(f9(a924,a924,a921),f228(a924)),x103122)))),f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,f932(a924,a921),a921),f321(a924)),x103121))),f862(f862(f9(a924,a924,a921),f228(a924)),f862(a105,x103122)))))) % 186.59/186.35 [7780]~P98(x77801)+E(f862(f862(f74(x77801),x77802),f862(f96(x77801),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),x77802) % 186.59/186.35 [8043]~P98(x80431)+E(f862(f862(f73(x80431),f862(f96(x80431),x80432)),f71(x80431)),f862(f96(x80431),f862(f862(f73(a1),x80432),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))) % 186.59/186.35 [8190]P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x81902)))+E(f862(f862(f236(a1),x81901),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),x81902),x81902)),a90))),f71(a1)) % 186.59/186.35 [9624]~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x96242)))+E(f862(f862(f236(a1),x96241),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),x96242),x96242)),a90))),f862(f862(f79(a1,a1),f862(f862(f236(a1),x96241),f862(f96(a924),x96242))),f862(f862(f20(a1,a1,a1),f862(f862(f10(a1,f932(a1,a1),a1),f74(a1)),f862(f74(a1),x96241))),f7(a1)))) % 186.59/186.35 [10000]~P1(f862(f862(f227(a924),f651(x100002,x100001)),f862(x100001,f651(x100002,x100001))))+P1(f862(f54(a924),f862(f254(a924),f862(f862(f9(a924,a924,a921),f862(f862(f10(a924,f932(a924,a921),a924),f227(a924)),x100001)),x100002)))) % 186.59/186.35 [10139]~P1(f862(f862(f227(a924),f862(f96(a924),x101391)),f862(a105,x101392)))+P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x101391),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),f227(a924)),a97)),x101392)))) % 186.59/186.35 [10140]~P1(f862(f862(f228(a924),f862(f96(a924),x101401)),f862(a105,x101402)))+P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x101401),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),f228(a924)),a97)),x101402)))) % 186.59/186.35 [10200]P1(f862(f862(f227(a924),f862(f96(a924),x102001)),f862(a105,x102002)))+~P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102001),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),f227(a924)),a97)),x102002)))) % 186.59/186.35 [10201]P1(f862(f862(f228(a924),f862(f96(a924),x102011)),f862(a105,x102012)))+~P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102011),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),f228(a924)),a97)),x102012)))) % 186.59/186.35 [10231]~P1(f862(f862(f227(a924),f862(a105,x102312)),f862(f96(a924),x102311)))+P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102311),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f10(a924,a921,a1),f862(f227(a924),x102312)),a97))))) % 186.59/186.35 [10232]~P1(f862(f862(f228(a924),f862(a105,x102322)),f862(f96(a924),x102321)))+P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102321),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f10(a924,a921,a1),f862(f228(a924),x102322)),a97))))) % 186.59/186.35 [10278]P1(f862(f862(f227(a924),f862(a105,x102781)),f862(f96(a924),x102782)))+~P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102782),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f10(a924,a921,a1),f862(f227(a924),x102781)),a97))))) % 186.59/186.35 [10279]P1(f862(f862(f228(a924),f862(a105,x102791)),f862(f96(a924),x102792)))+~P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102792),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f10(a924,a921,a1),f862(f228(a924),x102791)),a97))))) % 186.59/186.35 [10358]~P1(f862(f862(f321(a924),f2(a924)),x103581))+E(f862(a105,f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,f932(a924,a921),a921),f862(f862(f10(a924,f932(f932(a924,a921),a921),a924),f321(a924)),a105)),x103581))),f862(f862(f9(a924,a924,a921),f228(a924)),x103582))))),f862(f28(a924),f862(f254(a924),f862(f862(f20(a924,a921,a921),f862(f862(f10(a921,f932(a921,a921),a924),a318),f862(f862(f9(a924,f932(a924,a921),a921),f321(a924)),x103581))),f862(f862(f9(a924,a924,a921),f228(a924)),f862(a105,x103582)))))) % 186.59/186.35 [8734]~P98(x87341)+E(f862(f862(f74(x87341),f862(f96(x87341),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),x87342),x87342) % 186.59/186.35 [8796]~P98(x87961)+E(f862(f862(f73(x87961),f71(x87961)),f862(f96(x87961),x87962)),f862(f96(x87961),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),x87962))) % 186.59/186.35 [8858]~P98(x88581)+E(f862(f862(f3(x88581),f862(f96(x88581),x88582)),f71(x88581)),f862(f96(x88581),f862(f862(f73(a1),x88582),f862(f72(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [9013]~P1(f862(f862(f228(a924),f862(f96(a924),a76)),x90132))+E(f862(f862(f3(a924),x90131),f862(f862(f3(a924),x90132),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f3(a924),f862(a105,x90131)),x90132)) % 186.59/186.35 [9667]~P119(x96671)+E(f862(f862(f74(x96671),x96672),x96672),f862(f862(f236(x96671),x96672),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [9668]~P80(x96681)+E(f862(f862(f236(x96681),x96682),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f74(x96681),x96682),x96682)) % 186.59/186.35 [9670]~P98(x96701)+E(f862(f862(f74(x96701),x96702),f862(f96(x96701),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f73(x96701),x96702),x96702)) % 186.59/186.35 [9917]~P142(x99171)+E(f862(f862(f236(x99171),f862(f72(x99171),x99172)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f236(x99171),x99172),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [9918]~P112(x99181)+E(f862(f862(f236(x99181),f862(f69(x99181),x99182)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f236(x99181),x99182),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [9914]~P98(x99141)+E(f862(f862(f74(x99141),f862(f96(x99141),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x99142),f862(f862(f73(x99141),x99142),x99142)) % 186.59/186.35 [10034]~P112(x100341)+E(f862(f69(x100341),f862(f862(f236(x100341),x100342),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x100341),x100342),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [10101]~P112(x101011)+P1(f862(f862(f227(x101011),f2(x101011)),f862(f862(f236(x101011),x101012),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.35 [10269]~E(f862(a105,x102692),f862(f96(a924),x102691))+P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102691),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),a317),a97)),x102692))))) % 186.59/186.35 [10270]~E(f862(f96(a924),x102701),f862(a105,x102702))+P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x102701),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),a317),a97)),x102702))))) % 186.59/186.35 [10315]E(f862(a105,x103151),f862(f96(a924),x103152))+~P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x103152),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),a317),a97)),x103151))))) % 186.59/186.35 [10316]E(f862(f96(a924),x103161),f862(a105,x103162))+~P1(f862(f862(f79(a1,a921),f862(f96(a1),f862(f862(f73(a1),x103161),a90))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a322),f862(f862(f10(a921,a921,a1),a314),a186))),f862(f862(f9(a1,a924,a921),f862(f862(f10(a924,f932(a924,a921),a1),a317),a97)),x103162))))) % 186.59/186.35 [10359]~P13(x103591,x103592)+P1(f862(f862(f321(f932(x103591,a921)),f816(x103592,x103591)),f862(f862(f10(f932(x103591,a921),a921,f932(x103591,a921)),f80(x103591)),f862(f862(f10(f932(x103591,a921),f932(x103591,a921),f932(x103591,a921)),f862(f20(x103591,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103591),a318),f862(f862(f20(x103591,x103591,a921),x103592),f7(x103591))))),f862(f862(f9(f932(x103591,a921),f932(x103591,f932(x103591,a921)),f932(x103591,a921)),f862(f862(f10(f932(f932(x103591,a921),a921),f932(f932(x103591,f932(x103591,a921)),f932(x103591,a921)),f932(x103591,a921)),f10(f932(x103591,a921),a921,x103591)),a317)),x103592))))) % 186.59/186.35 [10098]~P98(x100981)+E(f862(f862(f236(x100981),f862(f96(x100981),a90)),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x100982)),f71(x100981)) % 186.59/186.35 [10099]~P142(x100991)+E(f862(f862(f236(x100991),f862(f72(x100991),f71(x100991))),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x100992)),f71(x100991)) % 186.59/186.35 [10103]~P80(x101031)+E(f862(f862(f236(x101031),x101032),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),a90))),f862(f862(f74(x101031),f862(f862(f74(x101031),x101032),x101032)),x101032)) % 186.59/186.35 [10295]~P1(f862(f862(f227(a1),f2(a1)),x102952))+E(f38(a1,f862(f862(f73(a1),f71(a1)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x102951)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x102952)),f862(f862(f73(a1),f71(a1)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f38(a1,x102951,x102952)))) % 186.59/186.35 [10318]~P1(f862(f862(f227(a1),f2(a1)),x103182))+E(f862(f862(f29(a1),f862(f862(f73(a1),f71(a1)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103181))),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103182)),f862(f862(f29(a1),x103181),x103182)) % 186.59/186.35 [10320]~P1(f862(f862(f227(a1),x103202),f2(a1)))+E(f862(f862(f29(a1),f862(f862(f73(a1),f71(a1)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103201))),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103202)),f862(f862(f29(a1),f862(f862(f73(a1),x103201),f71(a1))),x103202)) % 186.59/186.35 [10321]~P1(f862(f862(f227(a1),x103212),f2(a1)))+E(f38(a1,f862(f862(f73(a1),f71(a1)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103211)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103212)),f862(f862(f3(a1),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f38(a1,f862(f862(f73(a1),x103211),f71(a1)),x103212))),f71(a1))) % 186.59/186.35 [10191]~P98(x101911)+E(f862(f862(f236(x101911),f862(f96(x101911),a90)),f862(a105,f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101912))),f862(f96(x101911),a90)) % 186.59/186.35 [10193]~P142(x101931)+E(f862(f862(f236(x101931),f862(f72(x101931),f71(x101931))),f862(a105,f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101932))),f862(f72(x101931),f71(x101931))) % 186.59/186.35 [5116]P36(x51161,x51162)+~P6(x51161,x51163,x51162) % 186.59/186.35 [5118]P49(x51181,x51182)+~P6(x51181,x51183,x51182) % 186.59/186.35 [5290]~P6(x52901,x52902,x52903)+P50(x52901,x52902,x52903) % 186.59/186.35 [8257]~E(x82572,x82573)+P32(x82571,x82571,a317,x82572,x82573) % 186.59/186.35 [8809]E(x88091,x88092)+~P32(x88093,x88093,a317,x88091,x88092) % 186.59/186.35 [4923]E(f162(x49231,x49232,x49233),f106(x49231))+~E(x49232,f2(a924)) % 186.59/186.35 [5092]~E(f162(x50922,x50921,x50923),f106(x50922))+E(x50921,f2(a924)) % 186.59/186.35 [5295]~P35(x52951,x52953)+P35(x52951,f313(x52951,x52952,x52953)) % 186.59/186.35 [5405]~P27(x54051,x54052,x54053)+P29(a1,x54051,f171(x54052,x54053)) % 186.59/186.35 [5475]P27(x54751,x54752,x54753)+~P29(a1,x54751,f171(x54752,x54753)) % 186.59/186.35 [5547]~P6(x55471,x55472,x55473)+P6(f925(x55471),f154(x55471,x55472),f151(x55471,x55473)) % 186.59/186.35 [5548]~P50(x55481,x55482,x55483)+P50(f925(x55481),f154(x55481,x55482),f151(x55481,x55483)) % 186.59/186.35 [5659]P52(x56591,x56592,x56593)+~E(f607(x56593,x56592,x56591),f608(x56593,x56592,x56591)) % 186.59/186.35 [5660]P53(x56601,x56602,x56603)+~E(f625(x56603,x56602,x56601),f626(x56603,x56602,x56601)) % 186.59/186.35 [8263]~E(x82632,x82633)+P23(x82631,x82631,f25(x82631),x82632,x82633) % 186.59/186.35 [8817]E(x88171,x88172)+~P23(x88173,x88173,f25(x88173),x88171,x88172) % 186.59/186.35 [4878]~E(f862(f161(x48782),x48781),x48783)+E(x48781,f862(f161(x48782),x48783)) % 186.59/186.35 [4879]~E(x48792,f862(f161(x48791),x48793))+E(f862(f161(x48791),x48792),x48793) % 186.59/186.35 [4929]E(x49291,x49292)+~E(f862(f87(x49293),x49291),f862(f87(x49293),x49292)) % 186.59/186.35 [4930]E(x49301,x49302)+~E(f862(f161(x49303),x49301),f862(f161(x49303),x49302)) % 186.59/186.35 [5142]~P5(x51423,x51421)+P1(f862(f862(x51421,x51422),x51422)) % 186.59/186.35 [5143]~P46(x51433,x51431)+P1(f862(f862(x51431,x51432),x51432)) % 186.59/186.35 [5145]~P57(x51451,x51452)+P1(f862(f307(x51451,x51452),x51453)) % 186.59/186.35 [5211]~P35(x52111,x52112)+P35(f925(x52111),f862(f136(x52111,x52112),x52113)) % 186.59/186.35 [5216]~P1(f862(x52162,x52163))+~E(f862(f254(x52161),x52162),f181(f932(x52161,a921))) % 186.59/186.35 [5217]~P1(f862(x52172,x52173))+~E(f181(f932(x52171,a921)),f862(f254(x52171),x52172)) % 186.59/186.35 [5229]E(x52291,f2(a924))+E(f137(x52292,f162(x52292,x52291,x52293)),x52293) % 186.59/186.35 [5248]~P1(f862(x52481,x52483))+P1(f862(x52481,f83(x52482,x52481))) % 186.59/186.35 [5249]~P1(f862(x52491,x52493))+P1(f862(x52491,f743(x52491,x52492))) % 186.59/186.35 [5261]E(x52611,f2(a924))+E(f862(f134(x52612),f162(x52612,x52611,x52613)),x52613) % 186.59/186.35 [5366]~E(x53662,x53663)+P1(f862(f862(f321(x53661),x53662),f862(a317,x53663))) % 186.59/186.35 [5383]~E(x53832,f2(a924))+E(f862(f165(x53831),f162(x53831,x53832,x53833)),f181(f932(x53831,a921))) % 186.59/186.35 [5428]E(f862(f161(x54281),x54282),f862(f862(f144(x54281),x54283),f106(x54281)))+~E(x54282,f862(f862(f144(x54281),x54283),f106(x54281))) % 186.59/186.35 [5429]~E(x54293,f862(f862(f144(x54291),x54292),f106(x54291)))+E(f862(f862(f144(x54291),x54292),f106(x54291)),f862(f161(x54291),x54293)) % 186.59/186.35 [5471]~P31(x54711,x54712,x54713)+P31(x54711,x54712,f862(f161(x54711),x54713)) % 186.59/186.35 [5472]~P29(x54721,x54722,x54723)+P29(x54721,x54722,f862(f161(x54721),x54723)) % 186.59/186.35 [5476]E(f862(f28(x54761),f327(x54762,x54763,x54761)),x54762)+~E(f862(f28(x54761),x54763),f862(a105,x54762)) % 186.59/186.35 [5483]~P35(x54831,x54833)+P1(f862(f862(f321(x54831),x54832),f308(x54831,x54833))) % 186.59/186.35 [5487]~E(f862(f161(x54872),x54871),f862(f862(f144(x54872),x54873),f106(x54872)))+E(x54871,f862(f862(f144(x54872),x54873),f106(x54872))) % 186.59/186.35 [5488]~E(f862(f862(f144(x54882),x54883),f106(x54882)),f862(f161(x54882),x54881))+E(x54881,f862(f862(f144(x54882),x54883),f106(x54882))) % 186.59/186.35 [5511]E(f78(f931(a924,a924),f41(x55111,x55112)),x55113)+~P1(f862(f41(x55111,x55112),x55113)) % 186.59/186.35 [5551]P31(x55511,x55512,x55513)+~P31(x55511,x55512,f862(f161(x55511),x55513)) % 186.59/186.35 [5552]P29(x55521,x55522,x55523)+~P29(x55521,x55522,f862(f161(x55521),x55523)) % 186.59/186.35 [5590]P1(f862(f862(x55901,x55902),x55902))+~P1(f862(f262(x55903,x55901),x55902)) % 186.59/186.35 [5591]~P1(f862(f862(x55912,x55913),x55913))+P1(f862(f262(x55911,x55912),x55913)) % 186.59/186.35 [5613]~E(x56132,f106(x56131))+P1(f862(f862(f321(f925(x56131)),x56132),f154(x56131,x56133))) % 186.59/186.35 [5622]~P50(x56221,x56222,x56223)+P50(x56221,x56222,f862(f277(x56221,x56221),x56223)) % 186.59/186.35 [5623]~P53(x56231,x56232,x56233)+P53(x56231,x56232,f862(f277(x56231,x56231),x56233)) % 186.59/186.35 [5640]~P61(x56401)+E(f38(x56401,f38(x56401,x56402,x56403),x56403),f38(x56401,x56402,x56403)) % 186.59/186.35 [5742]E(x57421,x57422)+~P1(f862(f862(f321(x57423),x57421),f862(a317,x57422))) % 186.59/186.35 [5790]~P147(x57901)+E(f183(x57901,x57902,f2(a924),x57903),x57903) % 186.59/186.35 [5812]P50(x58121,x58122,x58123)+~P50(x58121,x58122,f862(f277(x58121,x58121),x58123)) % 186.59/186.35 [5813]P53(x58131,x58132,x58133)+~P53(x58131,x58132,f862(f277(x58131,x58131),x58133)) % 186.59/186.35 [5817]~P109(x58172)+E(f143(x58171,x58172,x58173,f106(x58171)),f106(x58171)) % 186.59/186.35 [5829]E(f163(x58291,x58292,f145(x58291,x58293)),f145(x58291,f163(x58291,x58292,x58293)))+~P1(f862(f130(x58291),x58293)) % 186.59/186.35 [5928]~P1(f862(f862(x59283,x59282),x59282))+P1(f862(f862(f321(x59281),x59282),f262(x59281,x59283))) % 186.59/186.35 [5930]E(f862(f129(x59301,x59302),x59303),f106(x59301))+P1(f862(x59302,f678(x59303,x59302,x59301))) % 186.59/186.35 [5989]E(f61(x59891,x59892,x59893),x59892)+P1(f862(x59893,f744(x59892,x59891,x59893))) % 186.59/186.35 [6085]~P1(f862(f130(x60851),x60852))+P1(f862(f130(x60851),f169(x60851,x60852,x60853))) % 186.59/186.35 [6086]~P1(f862(f130(x60861),x60863))+P1(f862(f130(x60861),f163(x60861,x60862,x60863))) % 186.59/186.35 [6087]~P1(f862(f130(x60871),x60873))+P1(f862(f130(x60871),f170(x60871,x60872,x60873))) % 186.59/186.35 [6088]~P1(f862(f130(x60881),x60883))+P1(f862(f130(x60881),f133(x60881,x60882,x60883))) % 186.59/186.35 [6089]~P148(x60891,x60893,x60892)+P1(f862(x60891,f38(a1,x60892,x60893))) % 186.59/186.35 [6105]~P31(x61053,x61051,x61052)+P1(f862(x61051,f757(x61052,x61051,x61053))) % 186.59/186.35 [6106]~P33(x61063,x61061,x61062)+P1(f862(x61061,f764(x61062,x61061,x61063))) % 186.59/186.35 [6107]~P33(x61073,x61071,x61072)+P1(f862(x61071,f775(x61072,x61071,x61073))) % 186.59/186.35 [6108]~P31(x61083,x61081,x61082)+P1(f862(x61081,f800(x61081,x61082,x61083))) % 186.59/186.35 [6109]~P31(x61093,x61091,x61092)+P1(f862(x61091,f801(x61092,x61091,x61093))) % 186.59/186.35 [6114]P1(f862(f862(x61141,x61142),x61142))+~P1(f862(f862(f321(x61143),x61142),f262(x61143,x61141))) % 186.59/186.35 [6129]E(f862(f129(x61291,x61292),x61293),f170(x61291,x61292,x61293))+P1(f862(x61292,f728(x61293,x61292,x61291))) % 186.59/186.35 [6169]~P1(f862(f130(x61691),x61693))+P1(f862(f130(f925(x61691)),f48(x61691,x61692,x61693))) % 186.59/186.35 [6206]~P110(x62061)+E(f862(f862(f94(f932(x62061,a921)),f862(f294(x62061),x62062)),f298(x62061,x62062,x62063)),f181(f932(x62061,a921))) % 186.59/186.35 [6207]~P110(x62071)+E(f862(f862(f94(f932(x62071,a921)),f862(f294(x62071),x62072)),f297(x62071,x62072,x62073)),f181(f932(x62071,a921))) % 186.59/186.35 [6208]~P110(x62081)+E(f862(f862(f94(f932(x62081,a921)),f862(f292(x62081),x62082)),f296(x62081,x62082,x62083)),f181(f932(x62081,a921))) % 186.59/186.35 [6441]E(f862(f129(x64411,x64412),x64413),x64413)+~P1(f862(x64412,f679(x64413,x64412,x64411))) % 186.59/186.35 [6443]E(f862(f862(f301(x64431),f351(x64432,x64433,x64431)),f327(x64432,x64433,x64431)),x64433)+~E(f862(f28(x64431),x64433),f862(a105,x64432)) % 186.59/186.35 [6459]P148(x64591,x64592,x64593)+~P1(f862(x64591,f38(a1,x64593,x64592))) % 186.59/186.35 [6512]P29(x65121,x65122,x65123)+~P1(f862(x65122,f765(x65123,x65122,x65121))) % 186.59/186.35 [6513]P29(x65131,x65132,x65133)+~P1(f862(x65132,f771(x65132,x65133,x65131))) % 186.59/186.35 [6514]P29(x65141,x65142,x65143)+~P1(f862(x65142,f774(x65143,x65142,x65141))) % 186.59/186.35 [6515]P27(x65151,x65152,x65153)+~P1(f862(x65151,f793(x65153,x65152,x65151))) % 186.59/186.35 [6516]P28(x65161,x65162,x65163)+~P1(f862(x65161,f833(x65163,x65162,x65161))) % 186.59/186.35 [6518]E(f170(x65181,x65182,x65183),x65183)+~P1(f862(x65182,f723(x65183,x65182,x65181))) % 186.59/186.35 [6598]~P1(f862(x65982,f590(x65983,x65982,x65981)))+P1(f862(f240(x65981,x65982),x65983)) % 186.59/186.35 [6599]~P1(f862(x65992,f680(x65993,x65992,x65991)))+P1(f862(f153(x65991,x65992),x65993)) % 186.59/186.35 [6854]~P1(f862(f307(x68541,x68542),f448(x68543,x68542,x68541)))+P1(f862(f307(x68541,x68542),x68543)) % 186.59/186.35 [6855]~P1(f862(f307(x68551,x68552),f497(x68553,x68552,x68551)))+P1(f862(f307(x68551,x68552),x68553)) % 186.59/186.35 [7476]~P61(x74761)+E(f862(f862(f73(x74761),f862(f862(f74(x74761),x74762),f862(f862(f29(x74761),x74763),x74762))),f38(x74761,x74763,x74762)),x74763) % 186.59/186.35 [7507]P27(x75071,x75072,x75073)+P1(f862(f862(f321(a1),f793(x75073,x75072,x75071)),f296(a1,x75072,x75073))) % 186.59/186.35 [7934]E(f862(f862(f244(x79341,x79341),f536(x79342,x79343,x79341)),f536(x79342,x79343,x79341)),x79343)+~P1(f862(f862(f321(f931(x79341,x79341)),x79343),f255(x79341,x79342))) % 186.59/186.35 [8051]~P1(f862(f862(f321(x80511),f547(x80513,x80512,x80511)),f308(x80511,x80513)))+P1(f862(f862(f321(x80511),x80512),f308(x80511,x80513))) % 186.59/186.35 [8052]~P1(f862(f862(f321(x80521),f612(x80523,x80522,x80521)),f308(x80521,x80523)))+P1(f862(f862(f321(x80521),x80522),f308(x80521,x80523))) % 186.59/186.35 [8053]~P1(f862(f862(f321(x80531),f614(x80533,x80532,x80531)),f308(x80531,x80533)))+P1(f862(f862(f321(x80531),x80532),f308(x80531,x80533))) % 186.59/186.35 [8147]P31(a1,x81471,f171(x81472,x81473))+P27(f862(f66(a921,a921,a1,a314),x81471),x81472,x81473) % 186.59/186.35 [8238]~P61(x82381)+E(f862(f862(f73(x82381),f862(f862(f74(x82381),f862(f862(f29(x82381),x82382),x82383)),x82383)),f38(x82381,x82382,x82383)),x82382) % 186.59/186.35 [8285]~E(f862(f28(x82851),x82852),f862(a105,x82853))+~P1(f862(f862(f321(x82851),f351(x82853,x82852,x82851)),f327(x82853,x82852,x82851))) % 186.59/186.35 [8726]~P31(a1,x87261,f171(x87262,x87263))+~P27(f862(f66(a921,a921,a1,a314),x87261),x87262,x87263) % 186.59/186.35 [8915]P1(f862(f862(f227(f932(f931(x89151,x89151),a921)),f299(x89151,x89152)),f299(x89151,x89153)))+~P1(f862(f862(f227(f932(f931(x89151,x89151),a921)),x89152),f299(x89151,x89153))) % 186.59/186.35 [9197]E(x91971,f106(x91972))+~P1(f862(f862(f321(f931(f925(x91972),f925(x91972))),f862(f862(f244(f925(x91972),f925(x91972)),x91971),f106(x91972))),f151(x91972,x91973))) % 186.59/186.35 [9221]E(x92211,f106(x92212))+~P1(f862(f862(f321(f931(f925(x92212),f925(x92212))),f862(f862(f244(f925(x92212),f925(x92212)),f106(x92212)),x92211)),f151(x92212,x92213))) % 186.59/186.35 [9348]E(f862(f862(f144(x93481),f697(x93482,x93483,x93481)),f698(x93482,x93483,x93481)),x93483)+~P1(f862(f862(f321(f931(f925(x93481),f925(x93481))),f862(f862(f244(f925(x93481),f925(x93481)),f106(x93481)),x93483)),f140(x93481,x93482))) % 186.59/186.35 [9590]~P129(x95901)+~P1(f862(f862(f228(x95901),f862(f862(f73(x95901),f862(f862(f74(x95901),x95902),x95902)),f862(f862(f74(x95901),x95903),x95903))),f2(x95901))) % 186.59/186.35 [9641]P1(f862(f54(x96411),x96412))+~P1(f862(f862(f321(f931(f932(x96411,a921),f932(x96411,a921))),f862(f862(f244(f932(x96411,a921),f932(x96411,a921)),x96413),x96412)),f306(x96411))) % 186.59/186.35 [9943]~P44(x99431,x99432,x99433)+P1(f862(f862(f227(a1),f862(f862(f66(f931(a1,a1),a1,x99431,f243(a1,a1)),f205(x99431)),f223(x99431,x99432,f220(x99431,x99433)))),f2(a1))) % 186.59/186.35 [9944]~P45(x99441,x99442,x99443)+P1(f862(f862(f228(a1),f862(f862(f66(f931(a1,a1),a1,x99441,f243(a1,a1)),f205(x99441)),f223(x99441,x99442,f220(x99441,x99443)))),f2(a1))) % 186.59/186.35 [10064]P45(x100641,x100642,x100643)+~P1(f862(f862(f228(a1),f862(f862(f66(f931(a1,a1),a1,x100641,f243(a1,a1)),f205(x100641)),f223(x100641,x100642,f220(x100641,x100643)))),f2(a1))) % 186.59/186.35 [10065]P44(x100651,x100652,x100653)+~P1(f862(f862(f227(a1),f862(f862(f66(f931(a1,a1),a1,x100651,f243(a1,a1)),f205(x100651)),f223(x100651,x100652,f220(x100651,x100653)))),f2(a1))) % 186.59/186.35 [10417]~P112(x104171)+~P1(f862(f862(f228(x104171),f862(f862(f73(x104171),f862(f862(f236(x104171),x104172),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x104171),x104173),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f2(x104171))) % 186.59/186.35 [4908]~E(x49083,f106(x49081))+E(f862(f862(f127(x49081),x49082),x49083),x49082) % 186.59/186.35 [4909]~E(x49092,f106(x49091))+E(f862(f862(f127(x49091),x49092),x49093),x49093) % 186.59/186.35 [4915]~E(x49152,f2(a924))+E(f862(f862(f168(x49151),x49152),x49153),f106(x49151)) % 186.59/186.35 [4924]~E(x49243,f106(x49241))+E(f862(f862(f168(x49241),x49242),x49243),f106(x49241)) % 186.59/186.35 [4964]~E(x49641,x49643)+E(x49641,f862(f862(f127(x49642),f106(x49642)),x49643)) % 186.59/186.35 [5055]~P92(x50552)+E(f862(f181(f932(x50551,x50552)),x50553),f181(x50552)) % 186.59/186.35 [5056]~P111(x50562)+E(f862(f234(f932(x50561,x50562)),x50563),f234(x50562)) % 186.59/186.35 [5074]E(x50741,f106(x50742))+~E(f862(f862(f127(x50742),x50743),x50741),x50743) % 186.59/186.35 [5075]E(x50751,f106(x50752))+~E(f862(f862(f127(x50752),x50751),x50753),x50753) % 186.59/186.35 [5083]E(x50831,f106(x50832))+~E(f862(f862(f127(x50832),x50833),x50831),f106(x50832)) % 186.59/186.35 [5084]E(x50841,f106(x50842))+~E(f862(f862(f127(x50842),x50841),x50843),f106(x50842)) % 186.59/186.35 [5109]~E(x51092,f2(a924))+E(f862(f862(f74(a924),x51091),x51092),f862(f862(f74(a924),x51093),x51092)) % 186.59/186.35 [5111]~E(x51111,f2(a924))+E(f862(f862(f74(a924),x51111),x51112),f862(f862(f74(a924),x51111),x51113)) % 186.59/186.35 [5168]~P93(x51681)+E(f862(f862(f103(x51681),x51682),x51683),f862(f862(f103(x51681),x51683),x51682)) % 186.59/186.35 [5170]~P103(x51701)+E(f862(f862(f103(x51701),x51702),x51703),f862(f862(f103(x51701),x51703),x51702)) % 186.59/186.35 [5171]~P93(x51711)+E(f862(f862(f94(x51711),x51712),x51713),f862(f862(f94(x51711),x51713),x51712)) % 186.59/186.35 [5173]~P104(x51731)+E(f862(f862(f94(x51731),x51732),x51733),f862(f862(f94(x51731),x51733),x51732)) % 186.59/186.35 [5174]~P119(x51741)+E(f862(f862(f74(x51741),x51742),x51743),f862(f862(f74(x51741),x51743),x51742)) % 186.59/186.35 [5175]~P119(x51751)+E(f862(f862(f73(x51751),x51752),x51753),f862(f862(f73(x51751),x51753),x51752)) % 186.59/186.35 [5177]~P109(x51771)+E(f862(f862(f225(x51771),x51772),x51773),f862(f862(f225(x51771),x51773),x51772)) % 186.59/186.35 [5179]~P109(x51791)+E(f862(f862(f226(x51791),x51792),x51793),f862(f862(f226(x51791),x51793),x51792)) % 186.59/186.35 [5243]E(f38(a924,x52431,x52432),f2(a924))+~E(x52431,f862(f862(f74(a924),x52432),x52433)) % 186.59/186.35 [5244]E(f38(a1,x52441,x52442),f2(a1))+~E(x52441,f862(f862(f74(a1),x52442),x52443)) % 186.59/186.35 [5307]E(x53071,x53072)+~E(f862(f862(f73(a924),x53073),x53071),f862(f862(f73(a924),x53073),x53072)) % 186.59/186.35 [5308]E(x53081,x53082)+~E(f862(f862(f73(a924),x53081),x53083),f862(f862(f73(a924),x53082),x53083)) % 186.59/186.35 [5318]~P96(x53181)+E(f862(f862(f94(x53181),x53182),f862(f72(x53181),x53183)),f862(f862(f3(x53181),x53182),x53183)) % 186.59/186.35 [5319]~P59(x53191)+E(f862(f862(f73(x53191),x53192),f862(f72(x53191),x53193)),f862(f862(f3(x53191),x53192),x53193)) % 186.59/186.35 [5320]~P68(x53201)+E(f862(f862(f73(x53201),x53202),f862(f72(x53201),x53203)),f862(f862(f3(x53201),x53202),x53203)) % 186.59/186.35 [5321]~P115(x53211)+E(f862(f862(f73(x53211),x53212),f862(f72(x53211),x53213)),f862(f862(f3(x53211),x53212),x53213)) % 186.59/186.35 [5322]~P68(x53221)+E(f862(f862(f3(x53221),x53222),f862(f72(x53221),x53223)),f862(f862(f73(x53221),x53222),x53223)) % 186.59/186.35 [5360]~P1(f862(x53603,x53602))+P1(f862(f862(f321(x53601),x53602),x53603)) % 186.59/186.35 [5362]~P72(x53622)+E(f862(f862(f8(x53621,x53622),x53623),f181(f932(x53621,a921))),f2(x53622)) % 186.59/186.35 [5364]~P71(x53642)+E(f862(f862(f11(x53641,x53642),x53643),f181(f932(x53641,a921))),f71(x53642)) % 186.59/186.35 [5417]~E(x54172,f862(f862(f73(a924),x54171),x54173))+P1(f862(f862(f227(a924),x54171),x54172)) % 186.59/186.35 [5420]~E(x54202,f181(f932(x54201,a921)))+E(f862(f862(f53(x54201),x54202),x54203),f181(f932(f932(x54201,a921),a921))) % 186.59/186.35 [5421]~E(x54212,f181(f932(x54211,a921)))+E(f181(f932(f932(x54211,a921),a921)),f862(f862(f53(x54211),x54212),x54213)) % 186.59/186.35 [5491]~E(f862(f275(x54912,x54913),x54911),f181(f932(x54913,a921)))+E(x54911,f181(f932(f931(x54912,x54913),a921))) % 186.59/186.35 [5492]~E(f862(f256(x54922,x54923),x54921),f181(f932(x54922,a921)))+E(x54921,f181(f932(f931(x54922,x54923),a921))) % 186.59/186.35 [5524]E(f862(f275(x55241,x55242),x55243),f181(f932(x55242,a921)))+~E(x55243,f181(f932(f931(x55241,x55242),a921))) % 186.59/186.35 [5525]E(f862(f256(x55251,x55252),x55253),f181(f932(x55251,a921)))+~E(x55253,f181(f932(f931(x55251,x55252),a921))) % 186.59/186.35 [5528]E(f266(x55281,x55282,x55283),f862(f862(f3(a92),x55282),x55283))+P1(f862(f862(f228(a92),x55282),x55283)) % 186.59/186.35 [5545]P1(f862(x55451,x55452))+~P1(f862(f862(f321(x55453),x55452),x55451)) % 186.59/186.35 [5583]E(x55831,x55832)+~E(f862(f72(f932(x55833,a921)),x55831),f862(f72(f932(x55833,a921)),x55832)) % 186.59/186.35 [5594]~E(x55941,f181(f932(x55942,a921)))+~P1(f862(f862(f321(x55942),x55943),x55941)) % 186.59/186.35 [5624]~E(x56242,f862(f862(f73(a1),x56241),f862(f93(a1),x56243)))+P1(f862(f862(f227(a1),x56241),x56242)) % 186.59/186.35 [5638]E(f862(f862(f301(x56381),x56382),x56383),x56383)+~P1(f862(f862(f321(x56381),x56382),x56383)) % 186.59/186.35 [5649]E(x56491,f181(f932(x56492,a921)))+~E(f862(f862(f53(x56492),x56491),x56493),f181(f932(f932(x56492,a921),a921))) % 186.59/186.35 [5650]E(x56501,f181(f932(x56502,a921)))+~E(f181(f932(f932(x56502,a921),a921)),f862(f862(f53(x56502),x56501),x56503)) % 186.59/186.35 [5656]~P125(x56561)+E(f862(f862(f74(x56561),f862(f72(x56561),x56562)),f862(f72(x56561),x56563)),f862(f862(f74(x56561),x56562),x56563)) % 186.59/186.35 [5658]~P64(x56581)+E(f862(f862(f282(x56581),f862(f72(x56581),x56582)),f862(f72(x56581),x56583)),f862(f862(f282(x56581),x56582),x56583)) % 186.59/186.35 [5689]~P1(f862(x56893,x56892))+P1(f862(f862(f321(x56891),x56892),f862(f254(x56891),x56893))) % 186.59/186.35 [5714]E(x57141,f2(a924))+E(f862(f165(x57142),f162(x57142,x57141,x57143)),f862(f862(f301(x57142),x57143),f181(f932(x57142,a921)))) % 186.59/186.35 [5734]E(f163(x57341,x57342,x57343),x57343)+P1(f862(f862(f321(x57341),x57342),f862(f165(x57341),x57343))) % 186.59/186.35 [5821]~P1(f862(f130(x58211),x58213))+P1(f862(f130(x58211),f862(f129(x58211,x58212),x58213))) % 186.59/186.35 [5864]~P61(x58641)+E(f862(f862(f29(x58641),f38(x58641,x58642,x58643)),x58643),f2(x58641)) % 186.59/186.35 [5883]E(f169(x58831,f862(f862(f144(x58831),x58832),f106(x58831)),x58833),f106(x58831))+P1(f862(f862(f321(a924),f2(a924)),x58833)) % 186.59/186.35 [5889]E(x58891,f2(a924))+E(f862(f164(x58892),f162(x58892,x58891,x58893)),f162(x58892,f862(f862(f3(a924),x58891),f71(a924)),x58893)) % 186.59/186.35 [5940]E(f862(f862(f144(x59401),x59402),x59403),f133(x59401,x59402,x59403))+P1(f862(f862(f321(x59401),x59402),f862(f165(x59401),x59403))) % 186.59/186.35 [5949]E(x59491,x59492)+~E(f862(f862(f74(a924),f862(a105,x59493)),x59491),f862(f862(f74(a924),f862(a105,x59493)),x59492)) % 186.59/186.35 [5950]~E(x59502,f862(f862(f73(a1),x59501),f862(f93(a1),f862(a105,x59503))))+P1(f862(f862(f228(a1),x59501),x59502)) % 186.59/186.35 [6011]~P28(x60111,x60112,x60113)+P29(a924,x60111,f132(a924,f862(f295(a924,x60112),x60113))) % 186.59/186.35 [6064]~E(x60643,f106(x60641))+E(f862(f862(f862(f176(f925(x60641),f925(x60641)),x60642),f160(x60641)),x60643),f106(x60641)) % 186.59/186.35 [6068]P1(f862(x60681,x60682))+~P1(f862(f862(f321(x60683),x60682),f862(f254(x60683),x60681))) % 186.59/186.35 [6100]E(x61001,x61002)+~E(f862(f862(f301(x61003),x61001),f181(f932(x61003,a921))),f862(f862(f301(x61003),x61002),f181(f932(x61003,a921)))) % 186.59/186.35 [6116]~P110(x61161)+E(f862(f862(f94(f932(x61161,a921)),f862(f292(x61161),x61162)),f862(f295(x61161,x61162),x61163)),f181(f932(x61161,a921))) % 186.59/186.35 [6155]E(f133(x61551,x61552,x61553),x61553)+~P1(f862(f862(f321(x61551),x61552),f862(f165(x61551),x61553))) % 186.59/186.35 [6177]~P78(x61771)+E(f862(f302(x61771,x61771,f72(x61771)),f862(f295(x61771,x61772),x61773)),f297(x61771,f862(f72(x61771),x61773),f862(f72(x61771),x61772))) % 186.59/186.35 [6188]E(f862(f182(f925(x61881)),f163(x61881,x61882,x61883)),f862(f182(f925(x61881)),x61883))+P1(f862(f862(f321(x61881),x61882),f862(f165(x61881),x61883))) % 186.59/186.35 [6244]~P110(x62441)+E(f862(f862(f94(f932(x62441,a921)),f862(f295(x62441,x62442),x62443)),f862(f274(x62441),x62443)),f181(f932(x62441,a921))) % 186.59/186.35 [6264]~P78(x62641)+E(f862(f302(x62641,x62641,f72(x62641)),f298(x62641,x62642,x62643)),f298(x62641,f862(f72(x62641),x62643),f862(f72(x62641),x62642))) % 186.59/186.35 [6265]~P78(x62651)+E(f862(f302(x62651,x62651,f72(x62651)),f296(x62651,x62652,x62653)),f296(x62651,f862(f72(x62651),x62653),f862(f72(x62651),x62652))) % 186.59/186.35 [6329]E(f169(x63291,f862(f862(f144(x63291),x63292),f106(x63291)),x63293),f862(f862(f144(x63291),x63292),f106(x63291)))+~P1(f862(f862(f321(a924),f2(a924)),x63293)) % 186.59/186.35 [6334]P28(x63341,x63342,x63343)+~P29(a924,x63341,f132(a924,f862(f295(a924,x63342),x63343))) % 186.59/186.35 [6337]~P78(x63371)+E(f862(f302(x63371,x63371,f72(x63371)),f297(x63371,x63372,x63373)),f862(f295(x63371,f862(f72(x63371),x63373)),f862(f72(x63371),x63372))) % 186.59/186.35 [6359]~P62(x63591)+E(f38(x63591,f862(f72(x63591),f38(x63591,x63592,x63593)),x63593),f38(x63591,f862(f72(x63591),x63592),x63593)) % 186.59/186.35 [6457]~P1(f862(f54(f931(x64572,x64571)),x64573))+P1(f862(f54(x64571),f862(f275(x64572,x64571),x64573))) % 186.59/186.35 [6458]~P1(f862(f54(f931(x64581,x64582)),x64583))+P1(f862(f54(x64581),f862(f256(x64581,x64582),x64583))) % 186.59/186.35 [6463]~P110(x64631)+E(f862(f862(f94(f932(x64631,a921)),f298(x64631,x64632,x64633)),f862(f274(x64631),x64633)),f181(f932(x64631,a921))) % 186.59/186.35 [6464]~P110(x64641)+E(f862(f862(f94(f932(x64641,a921)),f297(x64641,x64642,x64643)),f862(f293(x64641),x64643)),f181(f932(x64641,a921))) % 186.59/186.35 [6465]~P110(x64651)+E(f862(f862(f94(f932(x64651,a921)),f296(x64651,x64652,x64653)),f862(f293(x64651),x64653)),f181(f932(x64651,a921))) % 186.59/186.35 [6539]E(f862(f862(f157(x65391),x65392),f668(x65392,x65393,x65391)),x65393)+~P1(f862(f862(f321(x65391),x65393),f862(f165(x65391),x65392))) % 186.59/186.35 [6683]E(x66831,f106(x66832))+~E(f862(f862(f862(f176(f925(x66832),f925(x66832)),x66833),f160(x66832)),x66831),f106(x66832)) % 186.59/186.35 [6790]~P1(f862(f54(f931(x67902,x67901)),x67903))+P1(f862(f54(f931(x67901,x67902)),f862(f277(x67902,x67901),x67903))) % 186.59/186.35 [6813]E(x68131,x68132)+~E(f281(a924,f278(a924),x68133,x68131),f862(f862(f301(a924),x68132),f181(f932(a924,a921)))) % 186.59/186.35 [6814]E(x68141,x68142)+~E(f281(a924,f278(a924),x68141,x68142),f862(f862(f301(a924),x68143),f181(f932(a924,a921)))) % 186.59/186.35 [6946]P53(x69461,x69462,x69463)+P1(f862(f862(f321(x69461),f626(x69463,x69462,x69461)),x69462)) % 186.59/186.35 [6947]P53(x69471,x69472,x69473)+P1(f862(f862(f321(x69471),f625(x69473,x69472,x69471)),x69472)) % 186.59/186.35 [6957]P1(f862(f307(x69571,x69572),x69573))+P1(f862(f862(x69572,f448(x69573,x69572,x69571)),x69573)) % 186.59/186.35 [6958]P1(f862(f307(x69581,x69582),x69583))+P1(f862(f862(x69582,f497(x69583,x69582,x69581)),x69583)) % 186.59/186.35 [6990]E(f862(f182(f925(x69901)),f163(x69901,x69902,x69903)),f862(f862(f3(a924),f862(f182(f925(x69901)),x69903)),f71(a924)))+~P1(f862(f862(f321(x69901),x69902),f862(f165(x69901),x69903))) % 186.59/186.35 [7029]P1(f862(f240(x70291,x70292),x70293))+P1(f862(f862(f321(x70291),f590(x70293,x70292,x70291)),x70293)) % 186.59/186.35 [7038]~P1(f862(f54(f931(x70382,x70381)),f862(f277(x70381,x70382),x70383)))+P1(f862(f54(f931(x70381,x70382)),x70383)) % 186.59/186.35 [7096]~P1(f862(f862(f321(x70961),x70962),f862(f165(x70961),f107(x70961,x70963))))+P1(f862(f862(f321(x70961),x70962),f862(f165(x70961),x70963))) % 186.59/186.35 [7131]E(f862(f129(x71311,x71312),x71313),x71313)+P1(f862(f862(f321(x71311),f679(x71313,x71312,x71311)),f862(f165(x71311),x71313))) % 186.59/186.35 [7147]E(f862(f129(x71471,x71472),x71473),f106(x71471))+P1(f862(f862(f321(x71471),f678(x71473,x71472,x71471)),f862(f165(x71471),x71473))) % 186.59/186.35 [7170]P29(x71701,x71702,x71703)+P1(f862(f862(f321(x71701),f765(x71703,x71702,x71701)),f862(f165(x71701),x71703))) % 186.59/186.35 [7171]P29(x71711,x71712,x71713)+P1(f862(f862(f321(x71711),f774(x71713,x71712,x71711)),f862(f165(x71711),x71713))) % 186.59/186.35 [7172]P29(x71721,x71722,x71723)+P1(f862(f862(f321(x71721),f771(x71722,x71723,x71721)),f862(f165(x71721),x71723))) % 186.59/186.35 [7175]E(f170(x71751,x71752,x71753),x71753)+P1(f862(f862(f321(x71751),f723(x71753,x71752,x71751)),f862(f165(x71751),x71753))) % 186.59/186.35 [7251]P1(f862(f153(x72511,x72512),x72513))+P1(f862(f862(f321(x72511),f680(x72513,x72512,x72511)),f862(f165(x72511),x72513))) % 186.59/186.35 [7260]~P31(x72601,x72603,x72602)+P1(f862(f862(f321(x72601),f757(x72602,x72603,x72601)),f862(f165(x72601),x72602))) % 186.59/186.35 [7261]~P33(x72611,x72613,x72612)+P1(f862(f862(f321(x72611),f764(x72612,x72613,x72611)),f862(f165(x72611),x72612))) % 186.59/186.35 [7262]~P33(x72621,x72623,x72622)+P1(f862(f862(f321(x72621),f775(x72622,x72623,x72621)),f862(f165(x72621),x72622))) % 186.59/186.35 [7263]~P31(x72631,x72632,x72633)+P1(f862(f862(f321(x72631),f800(x72632,x72633,x72631)),f862(f165(x72631),x72633))) % 186.59/186.35 [7264]~P31(x72641,x72643,x72642)+P1(f862(f862(f321(x72641),f801(x72642,x72643,x72641)),f862(f165(x72641),x72642))) % 186.59/186.35 [7299]P1(f862(f862(f321(x72991),x72992),f449(x72993,x72992,x72991)))+~P1(f862(f862(f321(x72991),x72992),f30(f932(x72991,a921),x72993))) % 186.59/186.35 [7300]~P72(x73001)+E(f862(f862(f73(x73001),f862(f862(f8(a924,x73001),x73002),f862(f292(a924),x73003))),f862(x73002,x73003)),f862(f862(f8(a924,x73001),x73002),f862(f292(a924),f862(a105,x73003)))) % 186.59/186.35 [7312]P28(x73121,x73122,x73123)+P1(f862(f862(f321(a924),f833(x73123,x73122,x73121)),f862(f295(a924,x73122),x73123))) % 186.59/186.35 [7392]~P31(x73922,x73921,x73923)+P1(f862(x73921,f862(f862(f157(x73922),x73923),f760(x73923,x73921,x73922)))) % 186.59/186.35 [7405]~P1(f862(f862(f321(x74051),x74052),f447(x74052,x74053,x74051)))+P1(f862(f862(f321(x74051),x74052),f31(f932(x74051,a921),x74053))) % 186.59/186.35 [7438]~P72(x74381)+E(f862(f862(f73(x74381),f862(f862(f8(a924,x74381),x74382),f862(f294(a924),x74383))),f862(x74382,f862(a105,x74383))),f862(f862(f8(a924,x74381),x74382),f862(f294(a924),f862(a105,x74383)))) % 186.59/186.35 [7444]P1(f862(x74441,f529(x74442,x74443,x74441)))+P1(f862(f862(f227(f932(x74442,a921)),f862(f254(x74442),x74441)),f862(f254(x74442),x74443))) % 186.59/186.35 [7578]P1(f862(f862(f321(f925(x75781)),x75782),f154(x75781,x75783)))+P1(f862(f862(f321(x75781),f669(x75783,x75782,x75781)),f862(f165(x75781),x75782))) % 186.59/186.35 [7593]~P1(f862(f862(f321(f925(x75931)),x75932),f154(x75931,f308(x75931,x75933))))+P1(f862(f862(f321(f925(x75931)),x75932),f308(f925(x75931),f150(x75931,x75933)))) % 186.59/186.35 [7617]~P1(f862(f862(f321(f925(x76171)),x76172),f308(f925(x76171),f150(x76171,x76173))))+P1(f862(f862(f321(f925(x76171)),x76172),f154(x76171,f308(x76171,x76173)))) % 186.59/186.35 [7649]E(f862(f862(f862(f176(f925(x76491),f925(x76491)),x76492),f160(x76491)),x76493),x76493)+~P1(f862(f862(f227(a924),f862(f182(f925(x76491)),x76493)),f71(a924))) % 186.59/186.35 [7681]P1(f862(x76811,x76812))+~P1(f862(x76811,f862(f85(x76813),f546(x76812,x76811,x76813)))) % 186.59/186.35 [7683]E(f862(f862(f127(x76831),f767(x76832,x76833,x76831)),f862(f862(f144(x76831),x76833),f768(x76832,x76833,x76831))),x76832)+~P1(f862(f862(f321(x76831),x76833),f862(f165(x76831),x76832))) % 186.59/186.35 [7684]E(f862(f862(f127(x76841),f762(x76842,x76843,x76841)),f862(f862(f144(x76841),x76843),f763(x76842,x76843,x76841))),x76842)+~P1(f862(f862(f321(x76841),x76843),f862(f165(x76841),x76842))) % 186.59/186.35 [7685]E(f862(f862(f127(x76851),f769(x76852,x76853,x76851)),f862(f862(f144(x76851),x76853),f770(x76852,x76853,x76851))),x76852)+~P1(f862(f862(f321(x76851),x76853),f862(f165(x76851),x76852))) % 186.59/186.35 [7705]~P22(x77051,x77052,x77053,f234(f932(x77051,a921)))+P22(f925(x77051),f925(x77052),f862(f147(x77051,x77052),x77053),f234(f932(f925(x77051),a921))) % 186.59/186.35 [7742]~P1(f862(x77423,f529(x77421,x77423,x77422)))+P1(f862(f862(f227(f932(x77421,a921)),f862(f254(x77421),x77422)),f862(f254(x77421),x77423))) % 186.59/186.35 [7856]E(x78561,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x78562)),x78563)),f862(f248(a924,a924),x78562)))+~P1(f862(f41(x78561,x78563),x78562)) % 186.59/186.35 [7864]P22(x78641,x78642,x78643,f234(f932(x78641,a921)))+~P22(f925(x78641),f925(x78642),f862(f147(x78641,x78642),x78643),f234(f932(f925(x78641),a921))) % 186.59/186.35 [7909]P1(f862(f862(f321(f932(x79091,a921)),f447(x79092,x79093,x79091)),x79093))+P1(f862(f862(f321(x79091),x79092),f31(f932(x79091,a921),x79093))) % 186.59/186.35 [7998]P1(f862(f862(f321(f925(x79981)),x79982),f154(x79981,x79983)))+~P1(f862(f862(f321(x79981),f669(x79983,x79982,x79981)),x79983)) % 186.59/186.35 [8101]P29(x81011,x81012,x81013)+~P1(f862(x81012,f862(f862(f157(x81011),x81013),f766(x81013,x81012,x81011)))) % 186.59/186.35 [8126]E(x81261,x81262)+~E(f862(f862(f9(x81263,f932(x81263,a921),a921),f321(x81263)),x81261),f862(f862(f9(x81263,f932(x81263,a921),a921),f321(x81263)),x81262)) % 186.59/186.35 [8134]~P1(f862(f862(f321(f931(x81341,x81341)),x81343),f255(x81341,x81342)))+P1(f862(f862(f321(x81341),f536(x81342,x81343,x81341)),x81342)) % 186.59/186.35 [8136]~P1(f862(f862(f321(x81361),x81363),f30(f932(x81361,a921),x81362)))+P1(f862(f862(f321(f932(x81361,a921)),f449(x81362,x81363,x81361)),x81362)) % 186.59/186.35 [8194]P1(f862(f862(f227(f932(x81941,a921)),x81942),f31(f932(x81941,a921),x81943)))+P1(f862(f862(f321(f932(x81941,a921)),f467(x81942,x81943,x81941)),x81943)) % 186.59/186.35 [8258]P22(x82581,x82582,f86(x82582,x82581,f234(f932(x82582,a921)),x82583),f234(f932(x82581,a921)))+~E(f862(f302(x82582,x82581,x82583),f234(f932(x82582,a921))),f234(f932(x82581,a921))) % 186.59/186.35 [8284]~P1(f862(f862(f227(f932(x82841,a921)),x82842),f467(x82842,x82843,x82841)))+P1(f862(f862(f227(f932(x82841,a921)),x82842),f31(f932(x82841,a921),x82843))) % 186.59/186.35 [8313]~P1(f862(f862(f321(x83131),x83132),f862(f165(x83131),f762(x83133,x83132,x83131))))+~P1(f862(f862(f321(x83131),x83132),f862(f165(x83131),x83133))) % 186.59/186.35 [8314]~P1(f862(f862(f321(x83141),x83142),f862(f165(x83141),f770(x83143,x83142,x83141))))+~P1(f862(f862(f321(x83141),x83142),f862(f165(x83141),x83143))) % 186.59/186.35 [8343]P28(f862(f66(a921,a921,a924,a314),x83431),x83432,x83433)+P31(a924,x83431,f132(a924,f862(f295(a924,x83432),x83433))) % 186.59/186.35 [8504]E(x85041,f106(x85042))+P1(f862(f862(f321(x85042),f862(f243(x85042,f931(a92,a92)),f862(f267(x85042,x85041),x85043))),f862(f165(x85042),x85041))) % 186.59/186.35 [8603]~P70(x86031)+E(f862(f135(x86031,x86031,f862(f9(x86031,x86031,x86031),f73(x86031)),x86032),f862(f161(x86031),x86033)),f862(f135(x86031,x86031,f73(x86031),x86032),x86033)) % 186.59/186.35 [8797]~P22(x87972,x87971,x87973,f234(f932(x87972,a921)))+E(f862(f302(x87971,x87972,f86(x87972,x87971,f234(f932(x87972,a921)),x87973)),f234(f932(x87971,a921))),f234(f932(x87972,a921))) % 186.59/186.35 [8867]~P28(f862(f66(a921,a921,a924,a314),x88671),x88672,x88673)+~P31(a924,x88671,f132(a924,f862(f295(a924,x88672),x88673))) % 186.59/186.35 [9117]~P109(x91171)+E(f862(f165(x91171),f142(x91171,x91171,f7(x91171),x91172,x91173)),f862(f862(f301(x91171),x91172),f862(f165(x91171),x91173))) % 186.59/186.35 [9126]~E(f862(x91263,f862(f86(x91261,x91262,f234(f932(x91261,a921)),x91263),f815(x91263,x91262,x91261))),f815(x91263,x91262,x91261))+E(f862(f302(x91261,x91262,x91263),f234(f932(x91261,a921))),f234(f932(x91262,a921))) % 186.59/186.35 [9128]P1(f862(f862(f228(a924),f2(a924)),f631(x91281,x91282,x91283)))+~P1(f862(f862(f321(f931(x91283,x91283)),x91282),f862(f862(f280(x91283,x91283,x91283),x91281),f299(x91283,x91281)))) % 186.59/186.35 [9405]~P55(x94051,x94052)+~P1(f862(f862(f321(f931(x94051,x94051)),f862(f862(f244(x94051,x94051),x94053),x94053)),f862(f862(f280(x94051,x94051,x94051),x94052),f299(x94051,x94052)))) % 186.59/186.35 [9543]~E(f862(f862(f94(f932(f931(x95431,x95431),a921)),f862(f277(x95431,x95431),x95432)),f299(x95431,x95432)),f181(f932(f931(x95431,x95431),a921)))+~P1(f862(f862(f321(f931(x95431,x95431)),f862(f862(f244(x95431,x95431),x95433),x95433)),f862(f862(f280(x95431,x95431,x95431),x95432),f299(x95431,x95432)))) % 186.59/186.35 [9734]~P1(f862(f54(x97341),x97342))+P1(f862(f862(f227(a924),f862(f28(x97341),f862(f862(f3(f932(x97341,a921)),x97342),f862(f862(f301(x97341),x97343),f181(f932(x97341,a921)))))),f862(f28(x97341),x97342))) % 186.59/186.35 [10003]P1(f862(x100031,x100032))+P1(f862(f862(f321(f932(f922(f930(a919,f932(x100033,f932(a920,a921))),f930(a920,x100033)),a921)),f546(x100032,x100031,x100033)),f862(f254(f932(f922(f930(a919,f932(x100033,f932(a920,a921))),f930(a920,x100033)),a921)),f88(x100033)))) % 186.59/186.35 [5231]~E(x52313,f106(x52311))+E(f137(x52311,f862(f862(f144(x52311),x52312),x52313)),x52312) % 186.59/186.35 [5240]~E(x52403,f106(x52401))+E(f107(x52401,f862(f862(f144(x52401),x52402),x52403)),f106(x52401)) % 186.59/186.35 [5270]E(x52701,f106(x52702))+E(f137(x52702,f862(f862(f144(x52702),x52703),x52701)),f137(x52702,x52701)) % 186.59/186.35 [5272]E(x52721,f106(x52722))+E(f137(x52722,f862(f862(f127(x52722),x52723),x52721)),f137(x52722,x52721)) % 186.59/186.35 [5277]~E(x52773,f106(x52771))+E(f107(x52771,f862(f862(f127(x52771),x52772),x52773)),f107(x52771,x52772)) % 186.59/186.35 [5279]~E(x52793,f106(x52791))+E(f137(x52791,f862(f862(f127(x52791),x52792),x52793)),f137(x52791,x52792)) % 186.59/186.35 [5312]E(x53121,f106(x53122))+E(f862(f134(x53122),f862(f862(f127(x53122),x53121),x53123)),f862(f134(x53122),x53121)) % 186.59/186.35 [5340]~E(x53402,f106(x53401))+E(f862(f134(x53401),f862(f862(f127(x53401),x53402),x53403)),f862(f134(x53401),x53403)) % 186.59/186.35 [5376]~E(x53762,x53763)+P1(f862(f862(f84(f923(x53761)),x53762),x53763)) % 186.59/186.35 [5393]~P93(x53931)+E(f862(f862(f103(x53931),x53932),f862(f862(f94(x53931),x53932),x53933)),x53932) % 186.59/186.35 [5394]~P93(x53941)+E(f862(f862(f94(x53941),x53942),f862(f862(f103(x53941),x53942),x53943)),x53942) % 186.59/186.35 [5395]~P109(x53951)+E(f862(f862(f225(x53951),x53952),f862(f862(f226(x53951),x53952),x53953)),x53952) % 186.59/186.35 [5396]~P109(x53961)+E(f862(f862(f226(x53961),x53962),f862(f862(f225(x53961),x53962),x53963)),x53962) % 186.59/186.35 [5415]~P61(x54151)+E(f38(x54151,f862(f862(f74(x54151),x54152),x54153),x54153),f2(x54151)) % 186.59/186.35 [5416]~P61(x54161)+E(f38(x54161,f862(f862(f74(x54161),x54162),x54163),x54162),f2(x54161)) % 186.59/186.35 [5486]~P59(x54861)+E(f862(f72(x54861),f862(f862(f3(x54861),x54862),x54863)),f862(f862(f3(x54861),x54863),x54862)) % 186.59/186.35 [5549]E(x55491,f106(x55492))+E(f107(x55492,f862(f862(f144(x55492),x55493),x55491)),f862(f862(f144(x55492),x55493),f107(x55492,x55491))) % 186.59/186.35 [5550]E(x55501,f106(x55502))+E(f107(x55502,f862(f862(f127(x55502),x55503),x55501)),f862(f862(f127(x55502),x55503),f107(x55502,x55501))) % 186.59/186.35 [5553]~P3(x55531)+E(f31(x55531,f862(f862(f301(x55531),x55532),x55533)),f862(f862(f94(x55531),x55532),f31(x55531,x55533))) % 186.59/186.35 [5554]~P3(x55541)+E(f30(x55541,f862(f862(f301(x55541),x55542),x55543)),f862(f862(f103(x55541),x55542),f30(x55541,x55543))) % 186.59/186.35 [5599]~P93(x55991)+E(f862(f862(f103(x55991),x55992),f862(f862(f103(x55991),x55992),x55993)),f862(f862(f103(x55991),x55992),x55993)) % 186.59/186.35 [5601]~P103(x56011)+E(f862(f862(f103(x56011),x56012),f862(f862(f103(x56011),x56012),x56013)),f862(f862(f103(x56011),x56012),x56013)) % 186.59/186.35 [5602]~P93(x56021)+E(f862(f862(f94(x56021),x56022),f862(f862(f94(x56021),x56022),x56023)),f862(f862(f94(x56021),x56022),x56023)) % 186.59/186.35 [5604]~P104(x56041)+E(f862(f862(f94(x56041),x56042),f862(f862(f94(x56041),x56042),x56043)),f862(f862(f94(x56041),x56042),x56043)) % 186.59/186.35 [5605]~P100(x56051)+E(f862(f862(f74(x56051),x56052),f862(f862(f74(x56051),x56052),x56053)),f862(f862(f74(x56051),x56052),x56053)) % 186.59/186.35 [5607]~P109(x56071)+E(f862(f862(f225(x56071),x56072),f862(f862(f225(x56071),x56072),x56073)),f862(f862(f225(x56071),x56072),x56073)) % 186.59/186.35 [5609]~P109(x56091)+E(f862(f862(f226(x56091),x56092),f862(f862(f226(x56091),x56092),x56093)),f862(f862(f226(x56091),x56092),x56093)) % 186.59/186.35 [5616]~P61(x56161)+E(f38(x56161,f862(f862(f73(x56161),x56162),x56163),x56163),f38(x56161,x56162,x56163)) % 186.59/186.35 [5617]~P61(x56171)+E(f38(x56171,f862(f862(f73(x56171),x56172),x56173),x56172),f38(x56171,x56173,x56172)) % 186.59/186.35 [5625]~P125(x56251)+E(f862(f862(f74(x56251),x56252),f862(f72(x56251),x56253)),f862(f72(x56251),f862(f862(f74(x56251),x56252),x56253))) % 186.59/186.35 [5626]~P64(x56261)+E(f862(f862(f282(x56261),x56262),f862(f72(x56261),x56263)),f862(f72(x56261),f862(f862(f282(x56261),x56262),x56263))) % 186.59/186.35 [5627]~P81(x56271)+E(f862(f862(f73(x56271),x56272),f862(f158(x56271),x56273)),f862(f158(x56271),f862(f862(f144(x56271),x56272),x56273))) % 186.59/186.35 [5655]~P125(x56551)+E(f862(f862(f74(x56551),f862(f72(x56551),x56552)),x56553),f862(f862(f74(x56551),x56552),f862(f72(x56551),x56553))) % 186.59/186.35 [5661]~P6(x56611,x56612,x56613)+E(f30(f932(x56611,a921),f862(f862(f53(x56611),x56612),x56613)),x56612) % 186.59/186.35 [5726]~P116(x57261)+E(f862(f862(f74(x57261),x57262),f862(f862(f236(x57261),x57262),x57263)),f862(f862(f236(x57261),x57262),f862(a105,x57263))) % 186.59/186.35 [5727]~P119(x57271)+E(f862(f862(f74(x57271),x57272),f862(f862(f236(x57271),x57272),x57273)),f862(f862(f236(x57271),x57272),f862(a105,x57273))) % 186.59/186.35 [5738]~P68(x57381)+E(f862(f862(f73(x57381),f862(f72(x57381),x57382)),f862(f862(f73(x57381),x57382),x57383)),x57383) % 186.59/186.35 [5761]~P147(x57611)+E(f862(f862(f236(x57611),f862(f93(x57611),x57612)),x57613),f862(f93(x57611),f862(f862(f236(a924),x57612),x57613))) % 186.59/186.35 [5762]~P142(x57621)+E(f862(f862(f236(x57621),f862(f95(x57621),x57622)),x57623),f862(f95(x57621),f862(f862(f236(a1),x57622),x57623))) % 186.59/186.35 [5763]E(x57631,x57632)+~P1(f862(f862(f84(f923(x57633)),x57631),x57632)) % 186.59/186.35 [5769]~P86(x57691)+E(f862(f69(x57691),f862(f862(f3(x57691),x57692),x57693)),f862(f69(x57691),f862(f862(f3(x57691),x57693),x57692))) % 186.59/186.35 [5771]~P112(x57711)+E(f862(f862(f74(x57711),f75(x57711,x57712)),f75(x57711,x57713)),f75(x57711,f862(f862(f74(x57711),x57712),x57713))) % 186.59/186.35 [5775]E(x57751,f106(x57752))+E(f862(f862(f127(x57752),f862(f164(x57752),x57751)),x57753),f862(f164(x57752),f862(f862(f127(x57752),x57751),x57753))) % 186.59/186.35 [5781]~E(x57812,f862(a105,f862(f862(f73(a924),x57811),x57813)))+P1(f862(f862(f228(a924),x57811),x57812)) % 186.59/186.35 [5782]~P125(x57821)+E(f862(f862(f74(x57821),f862(f72(x57821),x57822)),x57823),f862(f72(x57821),f862(f862(f74(x57821),x57822),x57823))) % 186.59/186.35 [5783]~P121(x57831)+E(f862(f862(f282(x57831),f862(f72(x57831),x57832)),x57833),f862(f72(x57831),f862(f862(f282(x57831),x57832),x57833))) % 186.59/186.35 [5784]~P112(x57841)+E(f862(f862(f236(x57841),f862(f69(x57841),x57842)),x57843),f862(f69(x57841),f862(f862(f236(x57841),x57842),x57843))) % 186.59/186.35 [5882]E(f627(x58821,x58822,x58823),f657(x58821,x58822,x58823))+E(f862(f862(f94(f932(x58823,a921)),x58822),x58821),f181(f932(x58823,a921))) % 186.59/186.35 [5897]~P72(x58972)+E(f862(f862(f8(x58971,x58972),f862(f18(x58972,x58971),f2(x58972))),x58973),f2(x58972)) % 186.59/186.35 [5898]~P71(x58982)+E(f862(f862(f11(x58981,x58982),f862(f18(x58982,x58981),f71(x58982))),x58983),f71(x58982)) % 186.59/186.35 [5900]~P98(x59001)+E(f862(f862(f3(x59001),f862(f96(x59001),x59002)),f862(f96(x59001),x59003)),f862(f96(x59001),f862(f862(f3(a1),x59002),x59003))) % 186.59/186.35 [5903]~P147(x59031)+E(f862(f862(f74(x59031),f862(f93(x59031),x59032)),f862(f93(x59031),x59033)),f862(f93(x59031),f862(f862(f74(a924),x59032),x59033))) % 186.59/186.35 [5904]~P147(x59041)+E(f862(f862(f73(x59041),f862(f93(x59041),x59042)),f862(f93(x59041),x59043)),f862(f93(x59041),f862(f862(f73(a924),x59042),x59043))) % 186.59/186.35 [5905]~P142(x59051)+E(f862(f862(f3(x59051),f862(f95(x59051),x59052)),f862(f95(x59051),x59053)),f862(f95(x59051),f862(f862(f3(a1),x59052),x59053))) % 186.59/186.35 [5906]~P142(x59061)+E(f862(f862(f74(x59061),f862(f95(x59061),x59062)),f862(f95(x59061),x59063)),f862(f95(x59061),f862(f862(f74(a1),x59062),x59063))) % 186.59/186.35 [5907]~P142(x59071)+E(f862(f862(f73(x59071),f862(f95(x59071),x59072)),f862(f95(x59071),x59073)),f862(f95(x59071),f862(f862(f73(a1),x59072),x59073))) % 186.59/186.35 [5908]~P98(x59081)+E(f862(f862(f74(x59081),f862(f96(x59081),x59082)),f862(f96(x59081),x59083)),f862(f96(x59081),f862(f862(f74(a1),x59082),x59083))) % 186.59/186.35 [5909]~P98(x59091)+E(f862(f862(f73(x59091),f862(f96(x59091),x59092)),f862(f96(x59091),x59093)),f862(f96(x59091),f862(f862(f73(a1),x59092),x59093))) % 186.59/186.35 [5957]~E(x59573,x59572)+P1(f862(f862(f227(f932(x59571,a921)),x59572),x59573)) % 186.59/186.35 [5963]~E(x59632,x59633)+P1(f862(f862(f227(f932(x59631,a921)),x59632),x59633)) % 186.59/186.35 [5968]~P96(x59681)+E(f862(f862(f94(x59681),f862(f72(x59681),x59682)),f862(f72(x59681),x59683)),f862(f72(x59681),f862(f862(f103(x59681),x59682),x59683))) % 186.59/186.35 [5969]~P96(x59691)+E(f862(f862(f103(x59691),f862(f72(x59691),x59692)),f862(f72(x59691),x59693)),f862(f72(x59691),f862(f862(f94(x59691),x59692),x59693))) % 186.59/186.35 [5970]~P68(x59701)+E(f862(f862(f73(x59701),f862(f72(x59701),x59702)),f862(f72(x59701),x59703)),f862(f72(x59701),f862(f862(f73(x59701),x59703),x59702))) % 186.59/186.35 [5971]~P59(x59711)+E(f862(f862(f73(x59711),f862(f72(x59711),x59712)),f862(f72(x59711),x59713)),f862(f72(x59711),f862(f862(f73(x59711),x59712),x59713))) % 186.59/186.35 [5972]~P76(x59721)+E(f862(f862(f226(x59721),f862(f72(x59721),x59722)),f862(f72(x59721),x59723)),f862(f72(x59721),f862(f862(f225(x59721),x59722),x59723))) % 186.59/186.35 [5973]~P76(x59731)+E(f862(f862(f225(x59731),f862(f72(x59731),x59732)),f862(f72(x59731),x59733)),f862(f72(x59731),f862(f862(f226(x59731),x59732),x59733))) % 186.59/186.35 [5974]~P112(x59741)+E(f862(f862(f74(x59741),f862(f69(x59741),x59742)),f862(f69(x59741),x59743)),f862(f69(x59741),f862(f862(f74(x59741),x59742),x59743))) % 186.59/186.35 [5975]~P66(x59751)+E(f862(f862(f282(x59751),f862(f69(x59751),x59752)),f862(f69(x59751),x59753)),f862(f69(x59751),f862(f862(f282(x59751),x59752),x59753))) % 186.59/186.35 [5976]~P81(x59761)+E(f862(f862(f73(x59761),f862(f158(x59761),x59762)),f862(f158(x59761),x59763)),f862(f158(x59761),f862(f862(f127(x59761),x59762),x59763))) % 186.59/186.35 [5977]E(x59771,f181(f932(x59772,a921)))+~E(f862(f862(f103(f932(x59772,a921)),x59773),x59771),f181(f932(x59772,a921))) % 186.59/186.35 [5978]E(x59781,f181(f932(x59782,a921)))+~E(f862(f862(f103(f932(x59782,a921)),x59781),x59783),f181(f932(x59782,a921))) % 186.59/186.35 [5979]~P149(x59791,x59793,x59792)+P1(f862(x59791,f862(f862(f29(a1),x59792),x59793))) % 186.59/186.35 [6035]~P1(f862(f54(x60351),x60353))+P1(f862(f54(x60351),f862(f862(f301(x60351),x60352),x60353))) % 186.59/186.35 [6036]~P1(f862(f130(x60361),x60363))+P1(f862(f130(x60361),f862(f862(f168(x60361),x60362),x60363))) % 186.59/186.35 [6037]~P1(f862(f130(x60371),x60373))+P1(f862(f130(x60371),f862(f862(f131(x60371),x60372),x60373))) % 186.59/186.35 [6069]~P93(x60691)+P1(f862(f862(f227(x60691),x60692),f862(f862(f103(x60691),x60693),x60692))) % 186.59/186.35 [6070]~P103(x60701)+P1(f862(f862(f227(x60701),x60702),f862(f862(f103(x60701),x60703),x60702))) % 186.59/186.35 [6071]~P93(x60711)+P1(f862(f862(f227(x60711),x60712),f862(f862(f103(x60711),x60712),x60713))) % 186.59/186.35 [6072]~P103(x60721)+P1(f862(f862(f227(x60721),x60722),f862(f862(f103(x60721),x60722),x60723))) % 186.59/186.35 [6073]~P109(x60731)+P1(f862(f862(f227(x60731),x60732),f862(f862(f226(x60731),x60733),x60732))) % 186.59/186.35 [6074]~P109(x60741)+P1(f862(f862(f227(x60741),x60742),f862(f862(f226(x60741),x60742),x60743))) % 186.59/186.35 [6075]~P119(x60751)+P1(f862(f862(f278(x60751),x60752),f862(f862(f74(x60751),x60753),x60752))) % 186.59/186.35 [6076]~P119(x60761)+P1(f862(f862(f278(x60761),x60762),f862(f862(f74(x60761),x60762),x60763))) % 186.59/186.35 [6090]~E(x60901,f2(a924))+E(f862(f862(f29(a924),f862(f862(f74(a924),x60901),x60902)),f862(f862(f74(a924),x60901),x60903)),f2(a924)) % 186.59/186.35 [6171]~P98(x61711)+E(f862(f862(f3(x61711),f862(f96(x61711),x61712)),f862(f96(x61711),x61713)),f862(f96(x61711),f862(f862(f73(a1),x61712),f862(f72(a1),x61713)))) % 186.59/186.35 [6232]E(x62321,f2(a924))+E(f862(f862(f29(a924),f862(f862(f74(a924),x62321),x62322)),f862(f862(f74(a924),x62321),x62323)),f862(f862(f29(a924),x62322),x62323)) % 186.59/186.35 [6262]E(f145(x62621,f862(f862(f144(x62621),x62622),x62623)),f862(f862(f144(x62621),x62622),f145(x62621,x62623)))+P1(f862(f862(f321(x62621),x62622),f862(f165(x62621),x62623))) % 186.59/186.35 [6298]P149(x62981,x62982,x62983)+~P1(f862(x62981,f862(f862(f29(a1),x62983),x62982))) % 186.59/186.35 [6373]E(x63731,f106(x63732))+E(f862(f862(f144(x63732),f862(f134(x63732),x63731)),f862(f862(f168(x63732),x63733),f862(f164(x63732),x63731))),f862(f862(f168(x63732),f862(a105,x63733)),x63731)) % 186.59/186.35 [6381]E(f862(f862(f3(f932(x63811,a921)),x63812),x63813),x63812)+~E(f862(f862(f94(f932(x63811,a921)),x63812),x63813),f181(f932(x63811,a921))) % 186.59/186.35 [6395]E(f145(x63951,f862(f862(f144(x63951),x63952),x63953)),f145(x63951,x63953))+~P1(f862(f862(f321(x63951),x63952),f862(f165(x63951),x63953))) % 186.59/186.35 [6425]~P1(f862(f862(f227(a924),x64251),x64253))+P1(f862(f862(f227(a924),x64251),f862(f862(f73(a924),x64252),x64253))) % 186.59/186.35 [6427]~P1(f862(f862(f227(a924),x64271),x64272))+P1(f862(f862(f227(a924),x64271),f862(f862(f73(a924),x64272),x64273))) % 186.59/186.35 [6429]~P1(f862(f862(f228(a924),x64291),x64293))+P1(f862(f862(f228(a924),x64291),f862(f862(f73(a924),x64292),x64293))) % 186.59/186.35 [6431]~P1(f862(f862(f228(a924),x64311),x64312))+P1(f862(f862(f228(a924),x64311),f862(f862(f73(a924),x64312),x64313))) % 186.59/186.35 [6471]P1(f862(f54(x64711),x64712))+~P1(f862(f54(x64711),f862(f862(f301(x64711),x64713),x64712))) % 186.59/186.35 [6472]P1(f862(f130(x64721),x64722))+~P1(f862(f130(x64721),f862(f862(f144(x64721),x64723),x64722))) % 186.59/186.35 [6473]P1(f862(f130(x64731),x64732))+~P1(f862(f130(x64731),f862(f862(f127(x64731),x64733),x64732))) % 186.59/186.35 [6474]P1(f862(f130(x64741),x64742))+~P1(f862(f130(x64741),f862(f862(f127(x64741),x64742),x64743))) % 186.59/186.35 [6529]~P119(x65291)+E(f862(f862(f73(x65291),x65292),f862(f862(f74(x65291),x65293),x65292)),f862(f862(f74(x65291),f862(f862(f73(x65291),x65293),f71(x65291))),x65292)) % 186.59/186.35 [6575]~E(x65751,x65752)+~P1(f862(f862(f228(f932(x65753,a921)),x65751),x65752)) % 186.59/186.35 [6620]P1(f862(f862(f321(x66201),x66202),x66203))+P1(f862(f862(f321(x66201),x66202),f862(f72(f932(x66201,a921)),x66203))) % 186.59/186.35 [6626]E(f137(x66261,f862(f862(f131(x66261),x66262),x66263)),f137(x66261,x66263))+~P1(f862(f862(f228(a924),x66262),f862(f182(f925(x66261)),x66263))) % 186.59/186.35 [6627]E(f862(f862(f168(x66271),x66272),f107(x66271,x66273)),f862(f862(f168(x66271),x66272),x66273))+~P1(f862(f862(f228(a924),x66272),f862(f182(f925(x66271)),x66273))) % 186.59/186.35 [6685]E(f862(f862(f862(f176(f925(x66851),f925(x66851)),x66852),f160(x66851)),x66853),x66853)+~E(f38(a924,x66852,f862(f182(f925(x66851)),x66853)),f2(a924)) % 186.59/186.35 [6692]~P6(x66921,x66923,x66922)+E(f862(f862(f280(x66921,x66921,x66921),f862(f277(x66921,x66921),x66922)),x66922),x66922) % 186.59/186.35 [6736]~E(f862(f862(f103(f932(x67361,a921)),x67362),x67363),x67363)+P1(f862(f862(f227(f932(x67361,a921)),x67362),x67363)) % 186.59/186.35 [6741]~P52(x67411,x67411,x67413)+P52(x67411,x67411,f862(f862(f176(f931(x67411,x67411),a921),x67412),x67413)) % 186.59/186.35 [6744]~P1(f862(f862(f321(x67441),x67443),f862(f165(x67441),x67442)))+P1(f862(f862(f228(a924),f2(a924)),f862(f182(f925(x67441)),x67442))) % 186.59/186.35 [6772]~P86(x67721)+E(f862(f69(x67721),f862(f862(f73(x67721),f862(f69(x67721),x67722)),f862(f69(x67721),x67723))),f862(f862(f73(x67721),f862(f69(x67721),x67722)),f862(f69(x67721),x67723))) % 186.59/186.35 [6783]E(f862(f862(f29(a924),f862(f862(f74(a924),x67831),x67832)),f862(f862(f74(a924),x67831),x67833)),f862(f862(f29(a924),x67832),x67833))+~P1(f862(f862(f228(a924),f2(a924)),x67831)) % 186.59/186.35 [6925]~P1(f862(f54(x69251),x69253))+E(f862(f862(f57(x69251,f932(x69251,a921),f301(x69251)),x69252),x69253),f862(f862(f103(f932(x69251,a921)),x69253),x69252)) % 186.59/186.35 [6983]E(f862(f862(f103(f932(x69831,a921)),x69832),x69833),x69832)+~P1(f862(f862(f227(f932(x69831,a921)),x69833),x69832)) % 186.59/186.35 [6985]E(f862(f862(f103(f932(x69851,a921)),x69852),x69853),x69853)+~P1(f862(f862(f227(f932(x69851,a921)),x69852),x69853)) % 186.59/186.35 [6986]E(f862(f862(f94(f932(x69861,a921)),x69862),x69863),x69863)+~P1(f862(f862(f227(f932(x69861,a921)),x69863),x69862)) % 186.59/186.35 [6987]E(f862(f862(f94(f932(x69871,a921)),x69872),x69873),x69872)+~P1(f862(f862(f227(f932(x69871,a921)),x69872),x69873)) % 186.59/186.35 [7036]~P1(f862(f130(x70361),x70362))+E(f862(f862(f3(f932(x70361,a921)),f862(f165(x70361),x70362)),f862(f862(f301(x70361),x70363),f181(f932(x70361,a921)))),f862(f165(x70361),f163(x70361,x70363,x70362))) % 186.59/186.35 [7091]P35(x70911,x70912)+~P35(x70911,f862(f862(f176(f931(x70911,x70911),a921),x70913),x70912)) % 186.59/186.35 [7108]~E(x71081,f2(a924))+P1(f862(f862(f278(a924),f862(f862(f74(a924),x71081),x71082)),f862(f862(f74(a924),x71081),x71083))) % 186.59/186.35 [7159]P1(f862(f42(x71591,x71592),f862(a44,x71593)))+~P1(f862(f42(f862(f72(a1),x71591),f862(f72(a1),x71592)),x71593)) % 186.59/186.35 [7164]E(f862(f862(f3(f932(x71641,a921)),f862(f862(f301(x71641),x71642),x71643)),f862(f862(f301(x71641),x71642),f181(f932(x71641,a921)))),x71643)+P1(f862(f862(f321(x71641),x71642),x71643)) % 186.59/186.35 [7185]E(f862(f862(f94(f932(x71851,a921)),f862(f165(x71851),x71852)),f862(f165(x71851),x71853)),f181(f932(x71851,a921)))+~P1(f862(f130(x71851),f862(f862(f127(x71851),x71852),x71853))) % 186.59/186.35 [7200]~P1(f862(f862(f321(x72001),x72002),f862(f165(x72001),x72003)))+~P1(f862(f130(x72001),f862(f862(f144(x72001),x72002),x72003))) % 186.59/186.35 [7271]P29(x72711,x72712,x72713)+P1(f862(f862(f228(a924),f766(x72713,x72712,x72711)),f862(f182(f925(x72711)),x72713))) % 186.59/186.35 [7281]E(f862(f862(f94(f932(x72811,a921)),x72812),x72813),f181(f932(x72811,a921)))+P1(f862(f862(f321(x72811),f627(x72813,x72812,x72811)),x72812)) % 186.59/186.35 [7282]E(f862(f862(f94(f932(x72821,a921)),x72822),x72823),f181(f932(x72821,a921)))+P1(f862(f862(f321(x72821),f657(x72823,x72822,x72821)),x72823)) % 186.59/186.35 [7285]E(f107(x72851,f862(f862(f168(x72851),x72852),x72853)),f862(f862(f168(x72851),f862(f862(f3(a924),x72852),f71(a924))),x72853))+~P1(f862(f862(f227(a924),x72852),f862(f182(f925(x72851)),x72853))) % 186.59/186.35 [7345]~P31(x73453,x73452,x73451)+P1(f862(f862(f228(a924),f760(x73451,x73452,x73453)),f862(f182(f925(x73453)),x73451))) % 186.59/186.35 [7365]P1(f862(f862(f228(a924),f2(a924)),x73651))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x73652),x73651)),f862(f862(f74(a924),x73653),x73651))) % 186.59/186.35 [7366]P1(f862(f862(f228(a924),f2(a924)),x73661))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x73661),x73662)),f862(f862(f74(a924),x73661),x73663))) % 186.59/186.35 [7369]~P1(f862(f862(f321(x73691),x73692),x73693))+~P1(f862(f862(f321(x73691),x73692),f862(f72(f932(x73691,a921)),x73693))) % 186.59/186.35 [7375]~P1(f862(f862(f228(f932(x73751,a921)),x73752),x73753))+P1(f862(f862(f227(f932(x73751,a921)),x73752),x73753)) % 186.59/186.35 [7485]~P1(f862(f862(f227(a924),x74853),x74852))+P1(f862(f862(f227(a924),f862(f862(f3(a924),x74851),x74852)),f862(f862(f3(a924),x74851),x74853))) % 186.59/186.35 [7486]~P1(f862(f862(f227(a924),x74861),x74863))+P1(f862(f862(f227(a924),f862(f862(f3(a924),x74861),x74862)),f862(f862(f3(a924),x74863),x74862))) % 186.59/186.35 [7488]~P1(f862(f862(f227(a924),x74882),x74883))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x74881),x74882)),f862(f862(f74(a924),x74881),x74883))) % 186.59/186.35 [7490]~P1(f862(f862(f227(a924),x74901),x74903))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x74901),x74902)),f862(f862(f74(a924),x74903),x74902))) % 186.59/186.35 [7491]~P1(f862(f862(f227(a924),x74912),x74913))+P1(f862(f862(f227(a924),f862(f862(f73(a924),x74911),x74912)),f862(f862(f73(a924),x74911),x74913))) % 186.59/186.35 [7492]~P1(f862(f862(f227(a924),x74921),x74923))+P1(f862(f862(f227(a924),f862(f862(f73(a924),x74921),x74922)),f862(f862(f73(a924),x74923),x74922))) % 186.59/186.35 [7493]~P1(f862(f862(f227(a924),x74931),x74933))+P1(f862(f862(f227(a924),f862(f862(f29(a924),x74931),x74932)),f862(f862(f29(a924),x74933),x74932))) % 186.59/186.35 [7494]~P1(f862(f862(f227(a1),x74942),x74943))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x74941),x74942)),f862(f862(f73(a1),x74941),x74943))) % 186.59/186.35 [7497]~P1(f862(f862(f228(a924),x74972),x74973))+P1(f862(f862(f228(a924),f862(f862(f73(a924),x74971),x74972)),f862(f862(f73(a924),x74971),x74973))) % 186.59/186.35 [7498]~P1(f862(f862(f228(a924),x74981),x74983))+P1(f862(f862(f228(a924),f862(f862(f73(a924),x74981),x74982)),f862(f862(f73(a924),x74983),x74982))) % 186.59/186.35 [7499]~P1(f862(f862(f228(a1),x74991),x74993))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x74991),x74992)),f862(f862(f73(a1),x74993),x74992))) % 186.59/186.35 [7502]~P1(f862(f862(f278(a924),x75022),x75023))+P1(f862(f862(f278(a924),f862(f862(f74(a924),x75021),x75022)),f862(f862(f74(a924),x75021),x75023))) % 186.59/186.35 [7577]E(x75771,x75772)+~P1(f862(f862(f321(x75773),x75771),f862(f862(f301(x75773),x75772),f181(f932(x75773,a921))))) % 186.59/186.35 [7579]~E(f862(f862(f94(f932(x75791,a921)),x75792),x75793),f181(f932(x75791,a921)))+P1(f862(f862(f227(f932(x75791,a921)),x75792),f862(f72(f932(x75791,a921)),x75793))) % 186.59/186.35 [7584]P1(f862(f862(f321(f932(x75841,a921)),x75842),f862(f300(x75841),x75843)))+~P1(f862(f862(f227(f932(x75841,a921)),x75842),x75843)) % 186.59/186.35 [7589]P1(f862(f862(f321(x75891),f523(x75892,x75893,x75891)),x75893))+P1(f862(f862(f227(f932(x75891,a921)),x75893),x75892)) % 186.59/186.35 [7634]E(f862(f862(f144(x76341),f862(f862(f157(x76341),x76342),x76343)),f862(f862(f131(x76341),f862(a105,x76343)),x76342)),f862(f862(f131(x76341),x76343),x76342))+~P1(f862(f862(f228(a924),x76343),f862(f182(f925(x76341)),x76342))) % 186.59/186.35 [7659]P1(f862(f862(f321(f931(x76591,x76591)),x76592),f299(x76591,x76593)))+~P1(f862(f862(f321(f931(x76591,x76591)),x76592),x76593)) % 186.59/186.35 [7668]~P1(f862(f862(f321(f932(x76681,a921)),x76682),f862(f300(x76681),x76683)))+P1(f862(f862(f227(f932(x76681,a921)),x76682),x76683)) % 186.59/186.35 [7711]P1(f862(f862(f227(f932(x77111,a921)),x77112),f30(f932(x77111,a921),x77113)))+~P1(f862(f862(f321(f932(x77111,a921)),x77112),x77113)) % 186.59/186.35 [7735]~P142(x77351)+E(f862(f862(f74(x77351),f862(f862(f236(x77351),f862(f72(x77351),f71(x77351))),x77352)),f862(f862(f236(x77351),x77353),x77352)),f862(f862(f236(x77351),f862(f72(x77351),x77353)),x77352)) % 186.59/186.35 [7758]E(f862(f862(f157(x77581),x77582),f862(f862(f3(a924),f862(f182(f925(x77581)),x77582)),f862(a105,x77583))),f862(f862(f157(x77581),f862(f161(x77581),x77582)),x77583))+~P1(f862(f862(f228(a924),x77583),f862(f182(f925(x77581)),x77582))) % 186.59/186.35 [7775]~E(f862(f862(f94(f932(x77751,a921)),f682(x77753,x77752,x77751)),x77753),f181(f932(x77751,a921)))+E(f862(f862(f94(f932(x77751,a921)),f30(f932(x77751,a921),x77752)),x77753),f181(f932(x77751,a921))) % 186.59/186.35 [7839]~P1(f862(f862(f321(x78393),x78392),f862(f165(x78393),x78391)))+P1(f862(f862(f228(a924),f668(x78391,x78392,x78393)),f862(f182(f925(x78393)),x78391))) % 186.59/186.35 [7847]P1(f862(f862(f321(x78471),f862(f862(f157(x78471),x78472),x78473)),f862(f165(x78471),x78472)))+~P1(f862(f862(f228(a924),x78473),f862(f182(f925(x78471)),x78472))) % 186.59/186.35 [7945]~P1(f862(x79452,f725(x79453,x79452,x79451)))+E(f862(f862(f131(x79451),f862(f182(f925(x79451)),f170(x79451,x79452,x79453))),x79453),f106(x79451)) % 186.59/186.35 [7958]P1(f862(f862(f227(f932(f925(x79581),a921)),f154(x79581,x79582)),f154(x79581,x79583)))+~P1(f862(f862(f227(f932(x79581,a921)),x79582),x79583)) % 186.59/186.35 [7959]P1(f862(f862(f227(f932(f925(x79591),a921)),f153(x79591,x79592)),f153(x79591,x79593)))+~P1(f862(f862(f227(f932(x79591,a921)),x79592),x79593)) % 186.59/186.35 [7985]E(f862(f862(f94(f932(x79851,a921)),f30(f932(x79851,a921),x79852)),x79853),f181(f932(x79851,a921)))+P1(f862(f862(f321(f932(x79851,a921)),f682(x79853,x79852,x79851)),x79852)) % 186.59/186.35 [7987]~P1(f862(f862(f321(f932(x79871,a921)),x79873),x79872))+P1(f862(f862(f227(f932(x79871,a921)),f31(f932(x79871,a921),x79872)),x79873)) % 186.59/186.35 [7989]E(f862(f862(f94(f932(x79891,a921)),x79892),x79893),f181(f932(x79891,a921)))+~P1(f862(f862(f227(f932(x79891,a921)),x79892),f862(f72(f932(x79891,a921)),x79893))) % 186.59/186.35 [8038]E(f862(f862(f3(a924),f862(f862(f73(a924),f862(f158(a924),x80381)),x80382)),f862(f862(f157(a924),x80381),x80383)),f862(f158(a924),f862(f862(f152(a924,x80381),x80383),x80382)))+~P1(f862(f862(f228(a924),x80383),f862(f182(f925(a924)),x80381))) % 186.59/186.35 [8090]P1(f862(f862(f227(a924),x80901),x80902))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x80903),x80901)),f862(f862(f73(a924),x80903),x80902))) % 186.59/186.35 [8093]P1(f862(f862(f228(a924),x80931),x80932))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),x80933),x80931)),f862(f862(f73(a924),x80933),x80932))) % 186.59/186.35 [8094]P1(f862(f862(f228(a924),x80941),x80942))+~P1(f862(f862(f228(a924),f862(f862(f74(a924),x80943),x80941)),f862(f862(f74(a924),x80943),x80942))) % 186.59/186.35 [8095]P1(f862(f862(f228(a924),x80951),x80952))+~P1(f862(f862(f228(a924),f862(f862(f74(a924),x80951),x80953)),f862(f862(f74(a924),x80952),x80953))) % 186.59/186.35 [8124]P1(f862(f862(f228(a924),f2(a924)),x81241))+~P1(f862(f862(f228(a924),f862(f862(f74(a924),x81242),x81241)),f862(f862(f74(a924),x81243),x81241))) % 186.59/186.35 [8125]P1(f862(f862(f228(a924),f2(a924)),x81251))+~P1(f862(f862(f228(a924),f862(f862(f74(a924),x81251),x81252)),f862(f862(f74(a924),x81251),x81253))) % 186.59/186.35 [8164]~P1(f862(f862(f321(x81641),f523(x81643,x81642,x81641)),x81643))+P1(f862(f862(f227(f932(x81641,a921)),x81642),x81643)) % 186.59/186.35 [8201]E(f239(x82011,x82012,x82013),x82012)+~P1(f862(f862(f227(f932(x82011,a921)),x82013),f862(f862(f301(x82011),x82012),f181(f932(x82011,a921))))) % 186.59/186.35 [8251]~P1(f862(f130(x82511),x82513))+E(f862(f129(x82511,f862(f862(f10(a921,a921,x82511),a314),f862(a317,x82512))),x82513),f163(x82511,x82512,x82513)) % 186.59/186.35 [8276]E(f862(f862(f131(x82761),f862(f182(f925(x82761)),f170(x82761,x82762,x82763))),x82763),f106(x82761))+P1(f862(f862(f321(x82761),f725(x82763,x82762,x82761)),f862(f165(x82761),x82763))) % 186.59/186.35 [8280]E(f862(f862(f127(x82801),f862(f862(f168(x82801),x82802),x82803)),f862(f862(f144(x82801),f862(f862(f157(x82801),x82803),x82802)),f106(x82801))),f862(f862(f168(x82801),f862(a105,x82802)),x82803))+~P1(f862(f862(f228(a924),x82802),f862(f182(f925(x82801)),x82803))) % 186.59/186.35 [8348]E(f862(f129(x83481,f862(f862(f10(a921,a921,x83481),a314),f862(a317,x83482))),x83483),x83483)+P1(f862(f862(f321(x83481),x83482),f862(f165(x83481),x83483))) % 186.59/186.35 [8354]P1(f862(f862(f227(f932(f932(x83541,a921),a921)),f240(x83541,x83542)),f240(x83541,x83543)))+~P1(f862(f862(f227(f932(x83541,a921)),x83542),x83543)) % 186.59/186.35 [8373]P1(f862(f862(f321(f932(x83731,a921)),f490(x83732,x83733,x83731)),x83733))+P1(f862(f862(f227(f932(x83731,a921)),f30(f932(x83731,a921),x83733)),x83732)) % 186.59/186.35 [8394]~P1(f862(f130(x83941),x83943))+P1(f862(f130(x83941),f862(f862(f862(f176(f925(x83941),f925(x83941)),x83942),f160(x83941)),x83943))) % 186.59/186.35 [8400]~P1(f862(f862(f228(a924),x84002),x84003))+P1(f862(f862(f228(a924),f862(f862(f74(a924),f862(a105,x84001)),x84002)),f862(f862(f74(a924),f862(a105,x84001)),x84003))) % 186.59/186.35 [8420]P1(f862(f862(f227(f932(f932(x84201,a921),a921)),f862(f300(x84201),x84202)),f862(f300(x84201),x84203)))+~P1(f862(f862(f227(f932(x84201,a921)),x84202),x84203)) % 186.59/186.35 [8489]~E(f862(f302(x84891,x84892,x84893),f234(f932(x84891,a921))),f234(f932(x84892,a921)))+E(f862(f66(x84891,x84892,x84892,x84893),f86(x84891,x84892,f234(f932(x84891,a921)),x84893)),f25(x84892)) % 186.59/186.35 [8582]~P1(f862(f862(f227(f932(x85821,a921)),x85823),x85822))+P1(f862(f862(f227(f932(x85821,a921)),f862(f72(f932(x85821,a921)),x85822)),f862(f72(f932(x85821,a921)),x85823))) % 186.59/186.35 [8616]E(f862(f302(a924,a924,f862(f862(f9(a924,a924,a924),f3(a924)),x86161)),f862(f295(a924,x86162),x86163)),f862(f295(a924,f862(f862(f3(a924),x86162),x86161)),f862(f862(f3(a924),x86163),x86161)))+~P1(f862(f862(f228(a924),x86161),x86163)) % 186.59/186.35 [8643]~P81(x86431)+E(f862(f862(f73(x86431),x86432),f862(f135(x86431,x86431,f73(x86431),f2(x86431)),x86433)),f862(f135(x86431,x86431,f73(x86431),x86432),x86433)) % 186.59/186.35 [8698]~P1(f862(f862(f227(f932(x86981,a921)),f490(x86983,x86982,x86981)),x86983))+P1(f862(f862(f227(f932(x86981,a921)),f30(f932(x86981,a921),x86982)),x86983)) % 186.59/186.35 [8720]~P86(x87201)+P1(f862(f862(f227(x87201),f862(f69(x87201),f862(f862(f3(x87201),x87202),x87203))),f862(f862(f73(x87201),f862(f69(x87201),x87202)),f862(f69(x87201),x87203)))) % 186.59/186.35 [8721]~P86(x87211)+P1(f862(f862(f227(x87211),f862(f69(x87211),f862(f862(f73(x87211),x87212),x87213))),f862(f862(f73(x87211),f862(f69(x87211),x87212)),f862(f69(x87211),x87213)))) % 186.59/186.35 [8732]E(f862(f862(f73(a1),f862(f862(f74(a1),x87321),f38(a1,f862(f862(f29(a1),x87322),x87321),x87323))),f38(a1,x87322,x87321)),f38(a1,x87322,f862(f862(f74(a1),x87321),x87323)))+~P1(f862(f862(f228(a1),f2(a1)),x87323)) % 186.59/186.35 [8738]E(f862(f862(f127(x87381),f862(f862(f168(x87381),x87382),x87383)),f862(f862(f144(x87381),f862(f134(x87381),f862(f862(f131(x87381),x87382),x87383))),f106(x87381))),f862(f862(f168(x87381),f862(a105,x87382)),x87383))+~P1(f862(f862(f228(a924),x87382),f862(f182(f925(x87381)),x87383))) % 186.59/186.35 [8759]E(f862(f260(x87591,f862(f862(f147(x87591,f931(a92,x87591)),f862(f244(a92,x87591),f71(a92))),x87592)),f862(a5,x87593)),f862(f862(f157(x87591),x87592),x87593))+~P1(f862(f862(f228(a924),x87593),f862(f182(f925(x87591)),x87592))) % 186.59/186.35 [8827]P1(f862(f862(f321(f931(x88271,x88271)),x88272),f862(f862(f280(x88271,x88271,x88271),x88273),f299(x88271,x88273))))+~P1(f862(f862(f321(f931(x88271,x88271)),x88272),x88273)) % 186.59/186.35 [8838]E(f862(f302(x88381,x88382,x88383),f234(f932(x88381,a921))),f234(f932(x88382,a921)))+~E(f862(f66(x88381,x88382,x88382,x88383),f86(x88381,x88382,f234(f932(x88381,a921)),x88383)),f25(x88382)) % 186.59/186.35 [8847]P1(f862(f862(f227(a924),x88471),x88472))+~P1(f862(f862(f227(a924),f862(f862(f74(a924),f862(a105,x88473)),x88471)),f862(f862(f74(a924),f862(a105,x88473)),x88472))) % 186.59/186.35 [8863]P1(f862(f862(f227(f932(x88631,a921)),x88632),x88633))+~P1(f862(f862(f227(f932(x88631,a921)),f862(f72(f932(x88631,a921)),x88633)),f862(f72(f932(x88631,a921)),x88632))) % 186.59/186.35 [8886]P1(f862(f130(x88861),x88862))+~P1(f862(f130(x88861),f862(f862(f862(f176(f925(x88861),f925(x88861)),x88863),f160(x88861)),x88862))) % 186.59/186.35 [8960]E(f862(f276(x89601,x89601,f299(x89601,x89602)),x89603),x89603)+~P1(f862(f862(f227(f932(x89601,a921)),f862(f276(x89601,x89601,x89602),x89603)),x89603)) % 186.59/186.35 [9008]~P109(x90081)+P11(x90081,f862(f129(x90081,f862(f862(f9(x90081,x90081,a921),a317),f862(x90082,x90083))),x90083)) % 186.59/186.35 [9015]~P1(f862(f862(f227(a924),x90151),x90152))+P1(f862(f862(f227(a924),x90151),f862(f135(a924,a924,f73(a924),x90152),x90153))) % 186.59/186.35 [9103]~P1(f862(f862(f321(f931(x91031,x91031)),x91032),f299(x91031,x91033)))+P1(f862(f862(f321(f931(x91031,x91031)),x91032),f862(f862(f176(f931(x91031,x91031),a921),f629(x91033,x91032,x91031)),x91033))) % 186.59/186.35 [9184]~P81(x91841)+E(f862(f862(f73(x91841),x91842),f862(f135(x91841,x91841,f862(f9(x91841,x91841,x91841),f73(x91841)),f2(x91841)),f862(f161(x91841),x91843))),f862(f135(x91841,x91841,f73(x91841),x91842),x91843)) % 186.59/186.35 [9302]~P23(x93022,x93021,x93023,f234(f932(x93022,a921)),f234(f932(x93021,a921)))+E(f86(x93021,x93022,f234(f932(x93021,a921)),f86(x93022,x93021,f234(f932(x93022,a921)),x93023)),x93023) % 186.59/186.35 [9456]P52(x94561,x94562,x94563)+P1(f862(f862(f321(f931(x94561,x94562)),f862(f862(f244(x94561,x94562),f623(x94563,x94562,x94561)),f608(x94563,x94562,x94561))),x94563)) % 186.59/186.35 [9457]P52(x94571,x94572,x94573)+P1(f862(f862(f321(f931(x94571,x94572)),f862(f862(f244(x94571,x94572),f623(x94573,x94572,x94571)),f607(x94573,x94572,x94571))),x94573)) % 186.59/186.35 [9527]~P1(f862(f862(f321(f931(x95271,x95271)),x95272),f862(f862(f280(x95271,x95271,x95271),x95273),f299(x95271,x95273))))+P1(f862(f862(f321(f931(x95271,x95271)),x95272),f862(f862(f176(f931(x95271,x95271),a921),f631(x95273,x95272,x95271)),x95273))) % 186.59/186.35 [9528]~P1(f862(x95281,f862(f862(f157(x95282),x95283),f862(f182(f925(x95282)),f170(x95282,x95281,x95283)))))+~P1(f862(f862(f228(a924),f862(f182(f925(x95282)),f170(x95282,x95281,x95283))),f862(f182(f925(x95282)),x95283))) % 186.59/186.35 [9622]~P1(f862(f862(f227(f932(x96221,a921)),x96222),x96223))+P1(f862(f862(f227(f932(x96221,a921)),f862(f862(f9(x96221,f932(x96221,a921),a921),f321(x96221)),x96222)),f862(f862(f9(x96221,f932(x96221,a921),a921),f321(x96221)),x96223))) % 186.59/186.35 [9682]~P1(f862(f862(f321(f931(f932(x96821,a921),f932(x96821,a921))),f862(f862(f244(f932(x96821,a921),f932(x96821,a921)),x96822),x96823)),f306(x96821)))+P1(f862(f862(f228(f932(x96821,a921)),x96822),x96823)) % 186.59/186.35 [9710]P53(x97101,x97102,x97103)+~P1(f862(f862(f321(f931(x97101,x97101)),f862(f862(f244(x97101,x97101),f626(x97103,x97102,x97101)),f625(x97103,x97102,x97101))),x97103)) % 186.59/186.35 [9711]P53(x97111,x97112,x97113)+~P1(f862(f862(f321(f931(x97111,x97111)),f862(f862(f244(x97111,x97111),f625(x97113,x97112,x97111)),f626(x97113,x97112,x97111))),x97113)) % 186.59/186.35 [9748]~P1(f862(f862(f321(f931(f925(x97481),f925(x97481))),f862(f862(f244(f925(x97481),f925(x97481)),x97482),x97482)),f140(x97481,x97483)))+P1(f862(f862(f321(f931(x97481,x97481)),f862(f862(f244(x97481,x97481),f664(x97482,x97483,x97481)),f664(x97482,x97483,x97481))),x97483)) % 186.59/186.35 [9798]P1(f862(f862(f227(f932(x97981,a921)),x97982),x97983))+~P1(f862(f862(f227(f932(x97981,a921)),f862(f862(f9(x97981,f932(x97981,a921),a921),f321(x97981)),x97982)),f862(f862(f9(x97981,f932(x97981,a921),a921),f321(x97981)),x97983))) % 186.59/186.35 [9879]E(f862(f862(f3(a924),f862(f862(f8(a924,a924),x98791),f862(f292(a924),x98792))),f862(f862(f8(a924,a924),x98793),f862(f292(a924),x98792))),f862(f862(f8(a924,a924),f862(f862(f20(a924,a924,a924),f862(f862(f10(a924,f932(a924,a924),a924),f3(a924)),x98791)),x98793)),f862(f292(a924),x98792)))+~P1(f862(f862(f227(a924),f862(x98793,f515(x98792,x98791,x98793))),f862(x98791,f515(x98792,x98791,x98793)))) % 186.59/186.35 [5818]~P68(x58181)+E(f862(f862(f3(x58181),f862(f862(f73(x58181),x58182),x58183)),x58183),x58182) % 186.59/186.35 [5819]~P68(x58191)+E(f862(f862(f73(x58191),f862(f862(f3(x58191),x58192),x58193)),x58193),x58192) % 186.59/186.35 [6044]~P68(x60441)+E(f862(f862(f73(x60441),x60442),f862(f862(f73(x60441),f862(f72(x60441),x60442)),x60443)),x60443) % 186.59/186.35 [6132]~P80(x61321)+E(f862(f862(f74(x61321),f862(f862(f236(x61321),x61322),x61323)),x61322),f862(f862(f236(x61321),x61322),f862(a105,x61323))) % 186.59/186.35 [6133]~P119(x61331)+E(f862(f862(f74(x61331),f862(f862(f236(x61331),x61332),x61333)),x61332),f862(f862(f236(x61331),x61332),f862(a105,x61333))) % 186.59/186.35 [6356]~P112(x63561)+E(f862(f69(x63561),f862(f862(f236(x63561),f862(f72(x63561),x63562)),x63563)),f862(f69(x63561),f862(f862(f236(x63561),x63562),x63563))) % 186.59/186.35 [6407]~P80(x64071)+E(f862(f862(f74(x64071),f862(f862(f236(x64071),x64072),x64073)),x64072),f862(f862(f74(x64071),x64072),f862(f862(f236(x64071),x64072),x64073))) % 186.59/186.35 [6462]E(f862(f862(f3(a92),f862(f862(f73(a92),x64621),x64622)),x64623),f266(x64621,x64622,x64623))+~P1(f862(f862(f228(a92),x64622),x64623)) % 186.59/186.35 [6486]~E(f862(f862(f131(x64861),x64863),x64862),f106(x64861))+P1(f862(f862(f227(a924),f862(f182(f925(x64861)),x64862)),x64863)) % 186.59/186.35 [6625]E(f862(f862(f74(a924),f862(f96(a924),x66251)),f862(f862(f74(a924),f862(f96(a924),x66252)),x66253)),f2(a924))+~P1(f862(f862(f228(a1),x66251),a76)) % 186.59/186.35 [6641]~P64(x66411)+E(f862(f862(f236(x66411),f862(f862(f282(x66411),f71(x66411)),x66412)),x66413),f862(f862(f282(x66411),f71(x66411)),f862(f862(f236(x66411),x66412),x66413))) % 186.59/186.35 [6722]E(f862(f862(f3(a924),f862(f862(f73(a924),x67221),x67222)),x67223),f862(f862(f3(a924),x67221),f862(f862(f3(a924),x67223),x67222)))+~P1(f862(f862(f227(a924),x67222),x67223)) % 186.59/186.35 [6724]E(f862(f862(f3(a924),f862(f862(f73(a924),x67241),x67242)),x67243),f862(f862(f73(a924),x67241),f862(f862(f3(a924),x67242),x67243)))+~P1(f862(f862(f227(a924),x67243),x67242)) % 186.59/186.35 [6763]~P93(x67631)+P1(f862(f862(f227(x67631),f862(f862(f94(x67631),x67632),x67633)),x67633)) % 186.59/186.35 [6764]~P104(x67641)+P1(f862(f862(f227(x67641),f862(f862(f94(x67641),x67642),x67643)),x67643)) % 186.59/186.35 [6765]~P93(x67651)+P1(f862(f862(f227(x67651),f862(f862(f94(x67651),x67652),x67653)),x67652)) % 186.59/186.35 [6766]~P104(x67661)+P1(f862(f862(f227(x67661),f862(f862(f94(x67661),x67662),x67663)),x67662)) % 186.59/186.35 [6767]~P109(x67671)+P1(f862(f862(f227(x67671),f862(f862(f225(x67671),x67672),x67673)),x67673)) % 186.59/186.35 [6768]~P109(x67681)+P1(f862(f862(f227(x67681),f862(f862(f225(x67681),x67682),x67683)),x67682)) % 186.59/186.35 [6782]E(f862(f862(f29(a1),f862(f862(f29(a1),x67821),x67822)),x67823),f862(f862(f29(a1),x67821),f862(f862(f74(a1),x67822),x67823)))+~P1(f862(f862(f228(a1),f2(a1)),x67823)) % 186.59/186.35 [6835]~P119(x68351)+E(f862(f862(f73(x68351),f862(f862(f74(x68351),x68352),x68353)),x68353),f862(f862(f74(x68351),f862(f862(f73(x68351),x68352),f71(x68351))),x68353)) % 186.59/186.35 [6836]~P98(x68361)+E(f862(f862(f74(x68361),f862(f72(x68361),f862(f96(x68361),x68362))),x68363),f862(f862(f74(x68361),f862(f96(x68361),f862(f72(a1),x68362))),x68363)) % 186.59/186.35 [6909]~P81(x69091)+E(f862(f158(x69091),f862(f862(f147(x69092,x69091),f862(f18(x69091,x69092),f2(x69091))),x69093)),f2(x69091)) % 186.59/186.35 [6927]E(f862(f862(f73(a924),f862(f96(a924),x69271)),f862(f862(f73(a924),f862(f96(a924),x69272)),x69273)),f862(f862(f73(a924),f862(f96(a924),x69272)),x69273))+~P1(f862(a186,f862(f96(a1),x69271))) % 186.59/186.35 [6942]~P3(x69421)+E(f31(x69421,f862(f862(f301(x69421),x69422),f862(f862(f301(x69421),x69423),f181(f932(x69421,a921))))),f862(f862(f94(x69421),x69422),x69423)) % 186.59/186.35 [6943]~P3(x69431)+E(f30(x69431,f862(f862(f301(x69431),x69432),f862(f862(f301(x69431),x69433),f181(f932(x69431,a921))))),f862(f862(f103(x69431),x69432),x69433)) % 186.59/186.35 [6965]E(f862(f862(f168(x69651),x69652),x69653),x69653)+~P1(f862(f862(f227(a924),f862(f182(f925(x69651)),x69653)),x69652)) % 186.59/186.35 [6978]E(f862(f862(f131(x69781),x69782),x69783),f106(x69781))+~P1(f862(f862(f227(a924),f862(f182(f925(x69781)),x69783)),x69782)) % 186.59/186.35 [6989]E(f862(f862(f73(a924),f862(f862(f3(a924),x69891),x69892)),x69893),f862(f862(f3(a924),f862(f862(f73(a924),x69891),x69893)),x69892))+~P1(f862(f862(f227(a924),x69892),x69891)) % 186.59/186.35 [7003]~P1(f862(f862(f228(a924),x70031),x70033))+P1(f862(f862(f228(a924),f862(f862(f3(a924),x70031),x70032)),x70033)) % 186.59/186.35 [7030]~P109(x70301)+E(f163(x70301,x70302,f862(f862(f141(x70301,x70301,f7(x70301)),x70302),x70303)),x70303) % 186.59/186.35 [7121]E(f862(f862(f3(a924),f862(f862(f73(a924),x71211),x71212)),f862(a105,x71213)),f862(f862(f3(a924),x71211),f862(a105,f862(f862(f3(a924),x71213),x71212))))+~P1(f862(f862(f227(a924),x71212),x71213)) % 186.59/186.35 [7122]~P112(x71221)+P1(f862(f862(f227(x71221),f2(x71221)),f862(f862(f236(x71221),f862(f69(x71221),x71222)),x71223))) % 186.59/186.35 [7211]~P1(f862(f54(x72111),x72113))+P1(f862(f54(x72111),f862(f862(f94(f932(x72111,a921)),x72112),x72113))) % 186.59/186.35 [7212]~P1(f862(f54(x72121),x72122))+P1(f862(f54(x72121),f862(f862(f94(f932(x72121,a921)),x72122),x72123))) % 186.59/186.35 [7213]~P1(f862(f54(x72131),x72132))+P1(f862(f54(x72131),f862(f862(f3(f932(x72131,a921)),x72132),x72133))) % 186.59/186.35 [7355]~P35(x73551,x73553)+P35(x73551,f862(f862(f94(f932(f931(x73551,x73551),a921)),x73552),x73553)) % 186.59/186.35 [7356]~P35(x73561,x73562)+P35(x73561,f862(f862(f94(f932(f931(x73561,x73561),a921)),x73562),x73563)) % 186.59/186.35 [7480]~P93(x74801)+E(f12(x74801,f862(f165(x74801),f862(f862(f144(x74801),x74802),x74803))),f862(f135(x74801,x74801,f94(x74801),x74802),x74803)) % 186.59/186.35 [7481]~P93(x74811)+E(f15(x74811,f862(f165(x74811),f862(f862(f144(x74811),x74812),x74813))),f862(f135(x74811,x74811,f103(x74811),x74812),x74813)) % 186.59/186.35 [7482]~P109(x74821)+E(f16(x74821,f862(f165(x74821),f862(f862(f144(x74821),x74822),x74823))),f862(f135(x74821,x74821,f225(x74821),x74822),x74823)) % 186.59/186.35 [7483]~P109(x74831)+E(f17(x74831,f862(f165(x74831),f862(f862(f144(x74831),x74832),x74833))),f862(f135(x74831,x74831,f226(x74831),x74832),x74833)) % 186.59/186.35 [7545]~P1(f862(f54(x75451),x75452))+P1(f862(f862(f227(a924),f862(f28(x75451),x75452)),f862(f28(x75451),f862(f862(f301(x75451),x75453),x75452)))) % 186.59/186.35 [7553]E(f862(f862(f103(f932(a924,a921)),f862(f295(a924,x75531),x75532)),f862(f295(a924,x75532),f862(f862(f73(a924),x75532),x75533))),f862(f295(a924,x75531),f862(f862(f73(a924),x75532),x75533)))+~P1(f862(f862(f227(a924),x75531),x75532)) % 186.59/186.35 [7562]P1(f862(f862(f227(a924),x75621),x75622))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x75623),x75621)),x75622)) % 186.59/186.35 [7563]P1(f862(f862(f227(a924),x75631),x75632))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x75631),x75633)),x75632)) % 186.59/186.35 [7564]P1(f862(f862(f228(a924),x75641),x75642))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),x75641),x75643)),x75642)) % 186.59/186.35 [7602]~P109(x76021)+E(f13(x76021,f225(x76021),f862(f165(x76021),f862(f862(f144(x76021),x76022),x76023))),f862(f135(x76021,x76021,f225(x76021),x76022),x76023)) % 186.59/186.35 [7603]~P109(x76031)+E(f14(x76031,f226(x76031),f862(f165(x76031),f862(f862(f144(x76031),x76032),x76033))),f862(f135(x76031,x76031,f226(x76031),x76032),x76033)) % 186.59/186.35 [7607]~E(x76072,f181(f932(f931(x76071,x76071),a921)))+P1(f862(f862(f227(f932(f931(x76071,x76071),a921)),x76072),x76073)) % 186.59/186.35 [7706]E(f862(f862(f103(f932(x77061,a921)),x77062),f862(f862(f3(f932(x77061,a921)),x77063),x77062)),x77063)+~P1(f862(f862(f227(f932(x77061,a921)),x77062),x77063)) % 186.59/186.35 [7707]~P1(f862(f862(f227(a924),x77071),f862(f862(f73(a924),x77073),x77072)))+P1(f862(f862(f227(a924),f862(f862(f3(a924),x77071),x77072)),x77073)) % 186.59/186.35 [7708]~P1(f862(f862(f228(a924),x77081),f862(f862(f3(a924),x77083),x77082)))+P1(f862(f862(f228(a924),f862(f862(f73(a924),x77081),x77082)),x77083)) % 186.59/186.35 [7765]E(x77651,f106(x77652))+E(f862(f134(x77652),f862(f862(f862(f176(f925(x77652),f925(x77652)),x77653),f160(x77652)),x77651)),f862(f862(f157(x77652),x77651),f38(a924,x77653,f862(f182(f925(x77652)),x77651)))) % 186.59/186.35 [7774]E(f862(f862(f301(x77741),x77742),f862(f862(f3(f932(x77741,a921)),x77743),f862(f862(f301(x77741),x77742),f181(f932(x77741,a921))))),x77743)+~P1(f862(f862(f321(x77741),x77742),x77743)) % 186.59/186.35 [7936]P1(f862(f862(f227(a924),x79361),f862(f862(f73(a924),x79362),x79363)))+~P1(f862(f862(f227(a924),f862(f862(f3(a924),x79361),x79363)),x79362)) % 186.59/186.35 [7937]P1(f862(f862(f228(a924),x79371),f862(f862(f3(a924),x79372),x79373)))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),x79371),x79373)),x79372)) % 186.59/186.35 [7962]P1(f862(f54(x79621),x79622))+~P1(f862(f54(x79621),f862(f862(f103(f932(x79621,a921)),x79623),x79622))) % 186.59/186.35 [7963]P1(f862(f54(x79631),x79632))+~P1(f862(f54(x79631),f862(f862(f103(f932(x79631,a921)),x79632),x79633))) % 186.59/186.35 [8037]~P43(x80371,x80373)+P1(f862(f862(f321(f931(x80371,x80371)),f862(f862(f244(x80371,x80371),x80372),x80372)),x80373)) % 186.59/186.35 [8173]E(f862(f862(f157(a924),f132(a924,f862(f295(a924,x81731),x81732))),x81733),f862(f862(f73(a924),x81731),x81733))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),x81731),x81733)),x81732)) % 186.59/186.35 [8240]E(f862(f862(f168(a924),x82401),f132(a924,f862(f295(a924,x82402),x82403))),f132(a924,f862(f295(a924,x82402),f862(f862(f73(a924),x82402),x82401))))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x82402),x82401)),x82403)) % 186.59/186.35 [8298]~P98(x82981)+E(f862(f862(f236(x82981),x82982),f862(f96(a924),f862(f862(f73(a1),x82983),x82983))),f862(f862(f79(x82981,x82981),f862(f862(f236(x82981),x82982),f862(f96(a924),x82983))),f862(f862(f20(x82981,x82981,x82981),f74(x82981)),f7(x82981)))) % 186.59/186.35 [8563]E(f862(f862(f127(x85631),f862(f862(f168(x85631),x85632),x85633)),f862(f862(f144(x85631),f862(f862(f157(x85631),x85633),x85632)),f862(f862(f131(x85631),f862(a105,x85632)),x85633))),x85633)+~P1(f862(f862(f228(a924),x85632),f862(f182(f925(x85631)),x85633))) % 186.59/186.35 [8570]P1(f862(f862(f227(f932(x85701,a921)),f307(x85701,x85702)),f307(x85701,x85703)))+~P1(f862(f862(f227(f932(x85701,f932(x85701,a921))),x85703),x85702)) % 186.59/186.35 [8571]~P53(x85711,x85712,x85713)+P53(x85711,x85712,f862(f862(f3(f932(f931(x85711,x85711),a921)),x85713),f299(x85711,f181(f932(f931(x85711,x85711),a921))))) % 186.59/186.35 [8590]P1(f862(f862(f227(f932(x85901,a921)),f308(x85901,x85902)),f308(x85901,x85903)))+~P1(f862(f862(f227(f932(f931(x85901,x85901),a921)),x85903),x85902)) % 186.59/186.35 [8596]~P1(f862(f862(f228(f932(x85961,a921)),x85963),x85962))+P1(f862(f862(f321(x85961),f772(x85962,x85963,x85961)),f862(f862(f3(f932(x85961,a921)),x85962),x85963))) % 186.59/186.35 [8598]~P129(x85981)+P1(f862(f862(f227(x85981),f2(x85981)),f862(f862(f73(x85981),f862(f862(f74(x85981),x85982),x85982)),f862(f862(f74(x85981),x85983),x85983)))) % 186.59/186.35 [8631]P1(f862(f862(f227(f932(x86311,a921)),f862(f273(x86311),x86312)),f862(f273(x86311),x86313)))+~P1(f862(f862(f227(f932(f931(x86311,x86311),a921)),x86312),x86313)) % 186.59/186.35 [8661]~P51(x86611,x86612)+~P1(f862(f862(f321(f931(x86611,x86611)),f862(f862(f244(x86611,x86611),x86613),x86613)),x86612)) % 186.59/186.35 [8663]~P35(x86631,x86632)+~P1(f862(f862(f321(f931(x86631,x86631)),f862(f862(f244(x86631,x86631),x86633),x86633)),x86632)) % 186.59/186.35 [8722]P1(f862(f862(f227(f932(x87221,a921)),f31(f932(x87221,a921),x87222)),f31(f932(x87221,a921),x87223)))+~P1(f862(f862(f227(f932(f932(x87221,a921),a921)),x87223),x87222)) % 186.59/186.35 [8723]P1(f862(f862(f227(f932(x87231,a921)),f30(f932(x87231,a921),x87232)),f30(f932(x87231,a921),x87233)))+~P1(f862(f862(f227(f932(f932(x87231,a921),a921)),x87232),x87233)) % 186.59/186.35 [8778]~P6(x87781,x87783,x87782)+P1(f862(f862(f227(f932(f931(x87781,x87781),a921)),x87782),f862(f862(f246(x87781,x87781),x87783),f862(f18(f932(x87781,a921),x87781),x87783)))) % 186.59/186.35 [8779]~P50(x87791,x87793,x87792)+P1(f862(f862(f227(f932(f931(x87791,x87791),a921)),x87792),f862(f862(f246(x87791,x87791),x87793),f862(f18(f932(x87791,a921),x87791),x87793)))) % 186.59/186.35 [8828]~P86(x88281)+P1(f862(f862(f227(x88281),f862(f862(f3(x88281),f862(f69(x88281),x88282)),f862(f69(x88281),x88283))),f862(f69(x88281),f862(f862(f3(x88281),x88283),x88282)))) % 186.59/186.35 [8829]~P86(x88291)+P1(f862(f862(f227(x88291),f862(f862(f3(x88291),f862(f69(x88291),x88292)),f862(f69(x88291),x88293))),f862(f69(x88291),f862(f862(f3(x88291),x88292),x88293)))) % 186.59/186.35 [8861]P1(f862(f862(f227(f932(f931(x88611,x88611),a921)),f299(x88611,x88612)),f299(x88611,x88613)))+~P1(f862(f862(f227(f932(f931(x88611,x88611),a921)),x88612),x88613)) % 186.59/186.35 [8973]~P22(x89732,x89731,x89733,f234(f932(x89732,a921)))+E(f862(f66(x89731,x89732,x89732,f86(x89732,x89731,f234(f932(x89732,a921)),x89733)),x89733),f25(x89732)) % 186.59/186.35 [9035]P53(x90351,x90352,x90353)+~P53(x90351,x90352,f862(f862(f3(f932(f931(x90351,x90351),a921)),x90353),f299(x90351,f181(f932(f931(x90351,x90351),a921))))) % 186.59/186.35 [9055]P1(f862(f862(f227(f932(f931(f925(x90551),f925(x90551)),a921)),f150(x90551,x90552)),f150(x90551,x90553)))+~P1(f862(f862(f227(f932(f931(x90551,x90551),a921)),x90552),x90553)) % 186.59/186.35 [9056]P1(f862(f862(f227(f932(f931(f925(x90561),f925(x90561)),a921)),f151(x90561,x90562)),f151(x90561,x90563)))+~P1(f862(f862(f227(f932(f931(x90561,x90561),a921)),x90562),x90563)) % 186.59/186.35 [9077]~P50(x90771,x90773,x90772)+P1(f862(f862(f227(f932(f931(x90771,x90771),a921)),x90772),f862(f862(f280(x90771,x90771,x90771),f862(f277(x90771,x90771),x90772)),x90772))) % 186.59/186.35 [9129]~P1(f862(f130(x91291),x91292))+E(f862(f129(x91291,f862(f862(f9(x91291,f932(x91291,a921),a921),f321(x91291)),f862(f165(x91291),f169(x91291,x91292,x91293)))),x91292),f169(x91291,x91292,x91293)) % 186.59/186.35 [9182]E(x91821,x91822)+~P1(f862(f862(f321(f931(x91823,x91823)),f862(f862(f244(x91823,x91823),x91821),x91822)),f299(x91823,f181(f932(f931(x91823,x91823),a921))))) % 186.59/186.35 [9264]P1(f862(f862(f321(x92641),x92642),f308(x92641,x92643)))+P1(f862(f862(f321(f931(x92641,x92641)),f862(f862(f244(x92641,x92641),f547(x92643,x92642,x92641)),x92642)),x92643)) % 186.59/186.35 [9265]P1(f862(f862(f321(x92651),x92652),f308(x92651,x92653)))+P1(f862(f862(f321(f931(x92651,x92651)),f862(f862(f244(x92651,x92651),f612(x92653,x92652,x92651)),x92652)),x92653)) % 186.59/186.35 [9266]P1(f862(f862(f321(x92661),x92662),f308(x92661,x92663)))+P1(f862(f862(f321(f931(x92661,x92661)),f862(f862(f244(x92661,x92661),f614(x92663,x92662,x92661)),x92662)),x92663)) % 186.59/186.35 [9303]P22(x93031,x93032,x93033,f234(f932(x93031,a921)))+~E(f862(f66(x93032,x93031,x93031,f86(x93031,x93032,f234(f932(x93031,a921)),x93033)),x93033),f25(x93031)) % 186.59/186.35 [9357]~P1(f862(f862(f321(f925(x93571)),x93573),f154(x93571,x93572)))+P1(f862(f153(x93571,f862(f862(f9(x93571,f932(x93571,a921),a921),f321(x93571)),x93572)),x93573)) % 186.59/186.35 [9380]P1(f862(x93803,x93802))+E(f862(f254(x93801),f862(f862(f20(x93801,a921,a921),f862(f862(f10(a921,f932(a921,a921),x93801),a318),f862(a317,x93802))),x93803)),f181(f932(x93801,a921))) % 186.59/186.35 [9396]~P86(x93961)+P1(f862(f862(f227(x93961),f862(f69(x93961),f862(f862(f3(x93961),f862(f69(x93961),x93962)),f862(f69(x93961),x93963)))),f862(f69(x93961),f862(f862(f3(x93961),x93962),x93963)))) % 186.59/186.35 [9410]~P1(f862(x94103,x94102))+E(f862(f254(x94101),f862(f862(f20(x94101,a921,a921),f862(f862(f10(a921,f932(a921,a921),x94101),a318),f862(a317,x94102))),x94103)),f862(f862(f301(x94101),x94102),f181(f932(x94101,a921)))) % 186.59/186.35 [9419]~P1(f862(f862(f321(f932(x94191,a921)),x94193),f862(f300(x94191),x94192)))+P1(f862(f240(x94191,f862(f862(f9(x94191,f932(x94191,a921),a921),f321(x94191)),x94192)),x94193)) % 186.59/186.35 [9455]P35(x94551,x94552)+P1(f862(f862(f321(f931(x94551,x94551)),f862(f862(f244(x94551,x94551),f862(f553(x94552,x94551),f862(a105,x94553))),f862(f553(x94552,x94551),x94553))),x94552)) % 186.59/186.35 [9599]P1(f862(f862(f321(f925(x95991)),x95992),f154(x95991,x95993)))+~P1(f862(f153(x95991,f862(f862(f9(x95991,f932(x95991,a921),a921),f321(x95991)),x95993)),x95992)) % 186.59/186.35 [9614]P1(f862(f862(f321(f932(x96141,a921)),x96142),f862(f300(x96141),x96143)))+~P1(f862(f240(x96141,f862(f862(f9(x96141,f932(x96141,a921),a921),f321(x96141)),x96143)),x96142)) % 186.59/186.35 [9677]P1(f862(f862(f321(x96771),f862(f260(x96771,x96772),x96773)),f862(f165(x96771),f862(f862(f147(f931(a92,x96771),x96771),f248(a92,x96771)),x96772))))+~P1(f862(f862(f228(a92),x96773),f862(f158(a92),f862(f862(f147(f931(a92,x96771),a92),f243(a92,x96771)),x96772)))) % 186.59/186.35 [9727]P1(f862(f862(f227(f932(f931(f925(x97271),f925(x97271)),a921)),f151(x97271,x97272)),f862(f862(f246(f925(x97271),f925(x97271)),f154(x97271,x97273)),f862(f18(f932(f925(x97271),a921),f925(x97271)),f154(x97271,x97273)))))+~P1(f862(f862(f227(f932(f931(x97271,x97271),a921)),x97272),f862(f862(f246(x97271,x97271),x97273),f862(f18(f932(x97271,a921),x97271),x97273)))) % 186.59/186.35 [9751]P1(f862(f862(f321(x97511),f862(f243(x97511,f931(a92,a92)),f862(f258(x97511,x97512),x97513))),f862(f165(x97511),f862(f862(f147(f931(a92,x97511),x97511),f248(a92,x97511)),x97512))))+~P1(f862(f862(f228(a92),f2(a92)),f862(f158(a92),f862(f862(f147(f931(a92,x97511),a92),f243(a92,x97511)),x97512)))) % 186.59/186.35 [9766]~P1(f862(f862(f227(f932(f931(x97661,x97661),a921)),x97662),f862(f862(f246(x97661,x97661),x97663),f862(f18(f932(x97661,a921),x97661),x97663))))+P1(f862(f862(f227(f932(f931(x97661,x97661),a921)),f862(f862(f280(x97661,x97661,x97661),x97662),f299(x97661,x97662))),f862(f862(f246(x97661,x97661),x97663),f862(f18(f932(x97661,a921),x97661),x97663)))) % 186.59/186.35 [10067]~P35(x100671,x100672)+~P1(f862(f862(f321(f931(x100671,x100671)),f862(f862(f244(x100671,x100671),f862(x100673,f862(a105,f554(x100672,x100671,x100673)))),f862(x100673,f554(x100672,x100671,x100673)))),x100672)) % 186.59/186.35 [10068]~P35(x100681,x100682)+~P1(f862(f862(f321(f931(x100681,x100681)),f862(f862(f244(x100681,x100681),f862(x100683,f862(a105,f618(x100683,x100682,x100681)))),f862(x100683,f618(x100683,x100682,x100681)))),x100682)) % 186.59/186.35 [10329]P1(f862(f862(f227(f932(f931(f932(x103291,a921),f932(x103291,a921)),a921)),f862(f862(f280(f932(x103291,a921),f932(x103291,a921),f932(x103291,a921)),f310(x103291,x103292)),f862(f862(f103(f932(f931(f932(x103291,a921),f932(x103291,a921)),a921)),f310(x103291,x103293)),f862(f862(f301(f931(f932(x103291,a921),f932(x103291,a921))),f862(f862(f244(f932(x103291,a921),f932(x103291,a921)),f181(f932(x103291,a921))),f181(f932(x103291,a921)))),f181(f932(f931(f932(x103291,a921),f932(x103291,a921)),a921)))))),f310(x103291,x103292)))+~P1(f862(f862(f227(f932(f931(x103291,x103291),a921)),f862(f862(f280(x103291,x103291,x103291),x103292),x103293)),x103292)) % 186.59/186.35 [10330]P1(f862(f862(f227(f932(f931(f932(x103301,a921),f932(x103301,a921)),a921)),f862(f862(f280(f932(x103301,a921),f932(x103301,a921),f932(x103301,a921)),f312(x103301,x103302)),f862(f862(f103(f932(f931(f932(x103301,a921),f932(x103301,a921)),a921)),f312(x103301,x103303)),f862(f862(f301(f931(f932(x103301,a921),f932(x103301,a921))),f862(f862(f244(f932(x103301,a921),f932(x103301,a921)),f181(f932(x103301,a921))),f181(f932(x103301,a921)))),f181(f932(f931(f932(x103301,a921),f932(x103301,a921)),a921)))))),f312(x103301,x103302)))+~P1(f862(f862(f227(f932(f931(x103301,x103301),a921)),f862(f862(f280(x103301,x103301,x103301),x103302),x103303)),x103302)) % 186.59/186.35 [7479]~P1(f862(f862(f227(a924),x74792),x74791))+E(f862(f862(f3(a924),f862(a105,f862(f862(f3(a924),x74791),x74792))),x74793),f862(f862(f3(a924),f862(a105,x74791)),f862(f862(f73(a924),x74792),x74793))) % 186.59/186.35 [7520]~P61(x75201)+E(f862(f862(f73(x75201),f38(x75201,x75202,x75203)),f862(f862(f74(x75201),f862(f862(f29(x75201),x75202),x75203)),x75203)),x75202) % 186.59/186.35 [7712]E(f862(f862(f74(a924),f862(f96(a924),x77121)),f862(f862(f74(a924),f862(f96(a924),x77122)),x77123)),f862(f862(f74(a924),f862(f96(a924),f862(f862(f74(a1),x77121),x77122))),x77123))+P1(f862(f862(f228(a1),x77121),a76)) % 186.59/186.35 [8182]~P1(f862(f862(f227(a924),x81823),x81822))+P1(f862(f862(f227(a924),x81821),f862(f862(f3(a924),f862(f862(f73(a924),x81822),x81821)),x81823))) % 186.59/186.35 [8385]~P1(f862(f862(f227(a924),x83851),x83852))+E(f862(f862(f127(a924),f132(a924,f862(f295(a924,x83851),x83852))),f132(a924,f862(f295(a924,x83852),f862(f862(f73(a924),x83852),x83853)))),f132(a924,f862(f295(a924,x83851),f862(f862(f73(a924),x83852),x83853)))) % 186.59/186.35 [8640]~P1(f862(f54(x86401),x86402))+E(f862(a105,f862(f28(x86401),f862(f862(f3(f932(x86401,a921)),x86402),f862(f862(f301(x86401),x86403),f181(f932(x86401,a921)))))),f862(f28(x86401),f862(f862(f301(x86401),x86403),x86402))) % 186.59/186.35 [8679]~P1(f862(f54(x86791),x86792))+E(f862(f862(f73(a924),f71(a924)),f862(f28(x86791),f862(f862(f3(f932(x86791,a921)),x86792),f862(f862(f301(x86791),x86793),f181(f932(x86791,a921)))))),f862(f28(x86791),f862(f862(f301(x86791),x86793),x86792))) % 186.59/186.35 [8870]E(f862(f862(f3(a924),f862(f28(x88701),x88702)),f862(f28(x88701),f862(f862(f94(f932(x88701,a921)),x88702),x88703))),f862(f28(x88701),f862(f862(f3(f932(x88701,a921)),x88702),x88703)))+~P1(f862(f54(x88701),f862(f862(f94(f932(x88701,a921)),x88702),x88703))) % 186.59/186.35 [9124]~P4(f862(x91242,f505(x91242,x91243,x91241)))+E(f862(f93(a1),f862(f862(f8(x91241,a924),f862(f862(f10(a1,a924,x91241),a97),x91242)),x91243)),f862(f862(f8(x91241,a1),x91242),x91243)) % 186.59/186.35 [9125]~P4(f862(x91252,f506(x91252,x91253,x91251)))+E(f862(f93(a1),f862(f862(f11(x91251,a924),f862(f862(f10(a1,a924,x91251),a97),x91252)),x91253)),f862(f862(f11(x91251,a1),x91252),x91253)) % 186.59/186.35 [9165]~P1(f862(f54(x91651),x91653))+P1(f862(f862(f227(a924),f862(f862(f3(a924),f862(f28(x91651),x91652)),f862(f28(x91651),x91653))),f862(f28(x91651),f862(f862(f3(f932(x91651,a921)),x91652),x91653)))) % 186.59/186.35 [9192]P1(f862(f862(f321(x91921),f505(x91922,x91923,x91921)),x91923))+E(f862(f93(a1),f862(f862(f8(x91921,a924),f862(f862(f10(a1,a924,x91921),a97),x91922)),x91923)),f862(f862(f8(x91921,a1),x91922),x91923)) % 186.59/186.35 [9193]P1(f862(f862(f321(x91931),f506(x91932,x91933,x91931)),x91933))+E(f862(f93(a1),f862(f862(f11(x91931,a924),f862(f862(f10(a1,a924,x91931),a97),x91932)),x91933)),f862(f862(f11(x91931,a1),x91932),x91933)) % 186.59/186.35 [9256]E(f78(x92561,f862(f862(f9(x92561,f932(x92561,a921),a921),f321(x92561)),f862(f862(f3(f932(x92561,a921)),x92562),f862(f862(f301(x92561),x92563),f181(f932(x92561,a921)))))),f239(x92561,x92563,x92562))+P1(f862(f862(f227(f932(x92561,a921)),x92562),f862(f862(f301(x92561),x92563),f181(f932(x92561,a921))))) % 186.59/186.35 [9615]E(f862(f862(f147(f925(x96151),x96151),f862(f862(f9(f925(x96151),a924,x96151),f157(x96151)),x96152)),f862(f129(f925(x96151),f862(f862(f10(a924,a921,f925(x96151)),f862(f228(a924),x96152)),f182(f925(x96151)))),x96153)),f862(f862(f157(f925(x96151)),f172(x96151,x96153)),x96152))+~P1(f862(f862(f228(a924),x96152),f862(f182(f925(f925(x96151))),f172(x96151,x96153)))) % 186.59/186.35 [9700]E(f862(f129(x97001,x97002),x97003),f170(x97001,x97002,x97003))+P1(f862(f862(f321(x97001),f728(x97003,x97002,x97001)),f862(f165(x97001),f862(f862(f131(x97001),f862(f182(f925(x97001)),f170(x97001,x97002,x97003))),x97003)))) % 186.59/186.35 [9839]E(f862(f862(f131(x98391),f862(f182(f925(x98391)),f170(x98391,x98392,x98393))),x98393),f106(x98391))+~P1(f862(x98392,f862(f134(x98391),f862(f862(f131(x98391),f862(f182(f925(x98391)),f170(x98391,x98392,x98393))),x98393)))) % 186.59/186.35 [9932]~P1(f862(f862(f321(f931(x99321,x99321)),x99322),f299(x99321,x99323)))+P1(f862(f862(f321(f931(x99321,x99321)),x99322),f862(f862(f33(a924,f932(f931(x99321,x99321),a921)),f234(f932(a924,a921))),f862(f862(f9(a924,f932(f931(x99321,x99321),a921),f932(f931(x99321,x99321),a921)),f176(f931(x99321,x99321),a921)),x99323)))) % 186.59/186.35 [9993]~P1(f862(f862(f227(f932(x99931,a921)),f862(f862(f33(a924,f932(x99931,a921)),f862(f295(a924,f2(a924)),f517(x99933,x99932,x99931))),x99932)),x99933))+P1(f862(f862(f227(f932(x99931,a921)),f862(f862(f33(a924,f932(x99931,a921)),f234(f932(a924,a921))),x99932)),x99933)) % 186.59/186.35 [10040]~P1(f862(f862(f228(a1),f2(a1)),x100403))+P1(f862(f862(f228(a1),x100401),f862(f862(f73(a1),x100402),f862(f862(f74(a1),f862(f862(f73(a1),f862(f69(a1),f862(f862(f3(a1),x100402),x100401))),f71(a1))),x100403)))) % 186.59/186.35 [10054]~P35(x100541,f862(f862(f103(f932(f931(x100541,x100541),a921)),x100542),x100543))+P35(x100541,f862(f862(f103(f932(f931(x100541,x100541),a921)),f862(f862(f103(f932(f931(x100541,x100541),a921)),f862(f862(f280(x100541,x100541,x100541),x100542),x100542)),f862(f862(f280(x100541,x100541,x100541),x100543),x100542))),x100543)) % 186.59/186.35 [10132]P35(x101321,f862(f862(f103(f932(f931(x101321,x101321),a921)),x101322),x101323))+~P35(x101321,f862(f862(f103(f932(f931(x101321,x101321),a921)),f862(f862(f103(f932(f931(x101321,x101321),a921)),f862(f862(f280(x101321,x101321,x101321),x101322),x101322)),f862(f862(f280(x101321,x101321,x101321),x101323),x101322))),x101323)) % 186.59/186.35 [9704]~P142(x97041)+E(f862(f95(x97041),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x97042),x97043)),f181(f932(f931(a924,a924),a921)))))),f862(f862(f3(x97041),f862(f93(x97041),x97042)),f862(f93(x97041),x97043))) % 186.59/186.35 [9786]P1(f862(x97863,x97862))+E(f862(f254(x97861),f862(f862(f20(x97861,a921,a921),f862(f862(f10(a921,f932(a921,a921),x97861),a318),f862(f862(f9(x97861,x97861,a921),a317),x97862))),x97863)),f181(f932(x97861,a921))) % 186.59/186.35 [9788]~P1(f862(x97883,x97882))+E(f862(f254(x97881),f862(f862(f20(x97881,a921,a921),f862(f862(f10(a921,f932(a921,a921),x97881),a318),f862(f862(f9(x97881,x97881,a921),a317),x97882))),x97883)),f862(f862(f301(x97881),x97882),f181(f932(x97881,a921)))) % 186.59/186.35 [10020]E(x100201,x100202)+P1(f862(f862(f235(x100203,x100203,f862(f862(f10(f932(x100203,a921),f932(x100203,a921),x100203),f862(f10(a921,a921,x100203),a314)),a317)),x100201),x100202)) % 186.59/186.35 [10112]~E(x101121,x101122)+~P1(f862(f862(f235(x101123,x101123,f862(f862(f10(f932(x101123,a921),f932(x101123,a921),x101123),f862(f10(a921,a921,x101123),a314)),a317)),x101121),x101122)) % 186.59/186.35 [10124]~P1(f862(f54(x101241),x101243))+E(f862(f862(f57(x101241,f932(x101241,a921),f862(f862(f10(f932(x101241,a921),f932(f932(x101241,a921),f932(x101241,a921)),x101241),f862(f9(f932(x101241,a921),f932(x101241,a921),f932(x101241,a921)),f3(f932(x101241,a921)))),f862(f862(f9(x101241,f932(x101241,a921),f932(x101241,a921)),f301(x101241)),f181(f932(x101241,a921))))),x101242),x101243),f862(f862(f3(f932(x101241,a921)),x101242),x101243)) % 186.59/186.35 [10154]~P1(f862(f862(f228(a1),f2(a1)),x101543))+P1(f862(f862(f228(a1),f862(f862(f3(a1),x101541),f862(f862(f74(a1),f862(f862(f73(a1),f862(f69(a1),f862(f862(f3(a1),x101541),x101542))),f71(a1))),x101543))),x101542)) % 186.59/186.35 [10413]~P1(f862(f862(f321(x104131),x104133),f308(x104131,x104132)))+P1(f862(f307(x104131,f862(f862(f9(x104131,f932(f931(x104131,x104131),a921),f932(x104131,a921)),f862(f862(f10(f932(x104131,f932(f932(f931(x104131,x104131),a921),a921)),f932(f932(f931(x104131,x104131),a921),f932(x104131,a921)),x104131),f9(x104131,f932(f931(x104131,x104131),a921),a921)),f862(f862(f10(f932(x104131,f931(x104131,x104131)),f932(x104131,f932(f932(f931(x104131,x104131),a921),a921)),x104131),f862(f10(f931(x104131,x104131),f932(f932(f931(x104131,x104131),a921),a921),x104131),f321(f931(x104131,x104131)))),f244(x104131,x104131)))),x104132)),x104133)) % 186.59/186.35 [10426]P1(f862(f862(f321(x104261),x104262),f308(x104261,x104263)))+~P1(f862(f307(x104261,f862(f862(f9(x104261,f932(f931(x104261,x104261),a921),f932(x104261,a921)),f862(f862(f10(f932(x104261,f932(f932(f931(x104261,x104261),a921),a921)),f932(f932(f931(x104261,x104261),a921),f932(x104261,a921)),x104261),f9(x104261,f932(f931(x104261,x104261),a921),a921)),f862(f862(f10(f932(x104261,f931(x104261,x104261)),f932(x104261,f932(f932(f931(x104261,x104261),a921),a921)),x104261),f862(f10(f931(x104261,x104261),f932(f932(f931(x104261,x104261),a921),a921),x104261),f321(f931(x104261,x104261)))),f244(x104261,x104261)))),x104263)),x104262)) % 186.59/186.35 [9991]~P1(f862(f54(x99911),f862(f254(x99911),x99913)))+P1(f862(f54(x99911),f862(f254(x99911),f862(f862(f20(x99911,a921,a921),f862(f862(f10(a921,f932(a921,a921),x99911),a318),x99912)),x99913)))) % 186.59/186.35 [9992]~P1(f862(f54(x99921),f862(f254(x99921),x99922)))+P1(f862(f54(x99921),f862(f254(x99921),f862(f862(f20(x99921,a921,a921),f862(f862(f10(a921,f932(a921,a921),x99921),a318),x99922)),x99923)))) % 186.59/186.35 [10088]P1(f862(f54(x100881),f862(f254(x100881),x100882)))+~P1(f862(f54(x100881),f862(f254(x100881),f862(f862(f20(x100881,a921,a921),f862(f862(f10(a921,f932(a921,a921),x100881),a319),x100883)),x100882)))) % 186.59/186.35 [10089]P1(f862(f54(x100891),f862(f254(x100891),x100892)))+~P1(f862(f54(x100891),f862(f254(x100891),f862(f862(f20(x100891,a921,a921),f862(f862(f10(a921,f932(a921,a921),x100891),a319),x100892)),x100893)))) % 186.59/186.35 [10392]~P1(f862(f54(x103921),x103922))+P1(f862(f54(f925(x103921)),f862(f254(f925(x103921)),f862(f862(f20(f925(x103921),a921,a921),f862(f862(f10(a921,f932(a921,a921),f925(x103921)),a318),f862(f862(f9(f925(x103921),f932(x103921,a921),a921),f862(f862(f10(f932(x103921,a921),f932(f932(x103921,a921),a921),f925(x103921)),f227(f932(x103921,a921))),f165(x103921))),x103922))),f862(f862(f9(f925(x103921),a924,a921),f862(f862(f10(a924,f932(a924,a921),f925(x103921)),a317),f182(f925(x103921)))),x103923))))) % 186.59/186.35 [10393]~P1(f862(f54(x103931),x103932))+P1(f862(f54(f925(x103931)),f862(f254(f925(x103931)),f862(f862(f20(f925(x103931),a921,a921),f862(f862(f10(a921,f932(a921,a921),f925(x103931)),a318),f862(f862(f9(f925(x103931),f932(x103931,a921),a921),f862(f862(f10(f932(x103931,a921),f932(f932(x103931,a921),a921),f925(x103931)),f227(f932(x103931,a921))),f165(x103931))),x103932))),f862(f862(f9(f925(x103931),a924,a921),f862(f862(f10(a924,f932(a924,a921),f925(x103931)),f227(a924)),f182(f925(x103931)))),x103933))))) % 186.59/186.35 [10105]~P119(x101051)+E(f862(f862(f236(x101051),x101052),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101053)),f862(f862(f74(x101051),f862(f862(f236(x101051),x101052),x101053)),f862(f862(f236(x101051),x101052),x101053))) % 186.59/186.35 [10135]~P80(x101351)+E(f862(f862(f236(x101351),f862(f862(f236(x101351),x101352),x101353)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f236(x101351),x101352),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101353))) % 186.59/186.35 [10192]~P142(x101921)+E(f862(f862(f236(x101921),f862(f72(x101921),x101922)),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101923)),f862(f862(f236(x101921),x101922),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101923))) % 186.59/186.35 [10337]~P112(x103371)+P1(f862(f862(f227(x103371),f2(x103371)),f862(f862(f73(x103371),f862(f862(f236(x103371),x103372),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103371),x103373),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))))) % 186.59/186.35 [10202]~P119(x102021)+E(f862(f862(f236(x102021),x102022),f862(a105,f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x102023))),f862(f862(f74(x102021),x102022),f862(f862(f74(x102021),f862(f862(f236(x102021),x102022),x102023)),f862(f862(f236(x102021),x102022),x102023)))) % 186.59/186.35 [10253]~P80(x102531)+E(f862(f862(f74(x102531),x102532),f862(f862(f236(x102531),f862(f862(f236(x102531),x102532),x102533)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x102531),x102532),f862(a105,f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x102533)))) % 186.59/186.35 [10294]~P112(x102941)+P1(f862(f862(f227(x102941),f2(x102941)),f862(f862(f236(x102941),x102942),f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x102943)))) % 186.59/186.35 [10368]~P98(x103681)+E(f862(f862(f3(x103681),f862(f862(f73(x103681),f862(f862(f236(x103681),x103682),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103681),x103683),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f862(f862(f74(x103681),f862(f862(f74(x103681),f862(f96(x103681),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103682)),x103683)),f862(f862(f236(x103681),f862(f862(f3(x103681),x103682),x103683)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [10369]~P98(x103691)+E(f862(f862(f73(x103691),f862(f862(f73(x103691),f862(f862(f236(x103691),x103692),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103691),x103693),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f862(f862(f74(x103691),f862(f862(f74(x103691),f862(f96(x103691),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103692)),x103693)),f862(f862(f236(x103691),f862(f862(f73(x103691),x103692),x103693)),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [7979]P22(x79791,x79792,x79793,x79794)+~E(f537(x79794,x79793,x79792,x79791),f538(x79794,x79793,x79792,x79791)) % 186.59/186.35 [8274]P32(x82741,x82742,x82743,x82744,f106(x82742))+~E(x82744,f106(x82741)) % 186.59/186.35 [8275]P32(x82751,x82752,x82753,f106(x82751),x82754)+~E(x82754,f106(x82752)) % 186.59/186.35 [8818]~P32(x88182,x88183,x88184,x88181,f106(x88183))+E(x88181,f106(x88182)) % 186.59/186.35 [8819]~P32(x88193,x88192,x88194,f106(x88193),x88191)+E(x88191,f106(x88192)) % 186.59/186.35 [5236]~P15(x52363,x52361,x52364)+E(f862(f862(x52361,x52362),x52362),x52362) % 186.59/186.35 [5484]P1(f862(x54842,x54844))+E(f862(f129(x54841,x54842),f162(x54841,x54843,x54844)),f106(x54841)) % 186.59/186.35 [5521]~E(x55214,f181(f932(x55211,a921)))+E(f862(f302(x55211,x55212,x55213),x55214),f181(f932(x55212,a921))) % 186.59/186.35 [5767]~P1(f862(x57672,x57674))+E(f862(f129(x57671,x57672),f162(x57671,x57673,x57674)),f162(x57671,x57673,x57674)) % 186.59/186.35 [5797]~E(f862(f302(x57972,x57973,x57974),x57971),f181(f932(x57973,a921)))+E(x57971,f181(f932(x57972,a921))) % 186.59/186.35 [5984]~P5(x59841,x59843)+E(f263(x59841,x59842,f262(x59841,x59843),x59844),x59844) % 186.59/186.35 [6091]~P109(x60912)+E(f862(f862(f141(x60911,x60912,x60913),x60914),f106(x60911)),f862(f862(f144(x60911),x60914),f106(x60911))) % 186.59/186.35 [6456]~E(x64561,f181(f932(x64562,a921)))+~P1(f862(f55(x64562,x64563,x64561),x64564)) % 186.59/186.35 [6478]~P56(x64781,x64783,x64784,x64782)+P1(f862(f54(x64781),x64782)) % 186.59/186.35 [6480]~P56(x64801,x64803,x64802,x64804)+P1(f862(f54(x64801),x64802)) % 186.59/186.35 [6488]~P56(x64882,x64883,x64884,x64881)+~E(x64881,f181(f932(x64882,a921))) % 186.59/186.35 [6523]~P110(x65231)+E(f862(f862(f94(f932(x65231,a921)),f862(f295(x65231,x65232),x65233)),f296(x65231,x65233,x65234)),f181(f932(x65231,a921))) % 186.59/186.35 [6550]~P1(f862(f862(x65503,x65504),x65502))+P1(f862(f862(f321(x65501),x65502),f285(x65501,x65503,x65504))) % 186.59/186.35 [6551]~P1(f862(f862(x65513,x65514),x65512))+P1(f862(f862(f321(x65511),x65512),f286(x65511,x65513,x65514))) % 186.59/186.35 [6552]~P1(f862(f862(x65523,x65522),x65524))+P1(f862(f862(f321(x65521),x65522),f287(x65521,x65523,x65524))) % 186.59/186.35 [6553]~P1(f862(f862(x65533,x65532),x65534))+P1(f862(f862(f321(x65531),x65532),f289(x65531,x65533,x65534))) % 186.59/186.35 [6696]~P110(x66961)+E(f862(f862(f94(f932(x66961,a921)),f298(x66961,x66962,x66963)),f296(x66961,x66963,x66964)),f181(f932(x66961,a921))) % 186.59/186.35 [6697]~P110(x66971)+E(f862(f862(f94(f932(x66971,a921)),f297(x66971,x66972,x66973)),f298(x66971,x66973,x66974)),f181(f932(x66971,a921))) % 186.59/186.35 [6698]~P110(x66981)+E(f862(f862(f94(f932(x66981,a921)),f297(x66981,x66982,x66983)),f297(x66981,x66983,x66984)),f181(f932(x66981,a921))) % 186.59/186.35 [6699]~P110(x66991)+E(f862(f862(f94(f932(x66991,a921)),f296(x66991,x66992,x66993)),f298(x66991,x66993,x66994)),f181(f932(x66991,a921))) % 186.59/186.35 [6700]~P110(x67001)+E(f862(f862(f94(f932(x67001,a921)),f296(x67001,x67002,x67003)),f297(x67001,x67003,x67004)),f181(f932(x67001,a921))) % 186.59/186.35 [6739]P1(f862(f862(x67391,x67392),f561(x67392,x67391)))+~P1(f862(f241(x67393,x67394,x67391),x67392)) % 186.59/186.35 [6821]~P109(x68212)+E(f862(f165(x68211),f143(x68211,x68212,x68213,x68214)),f862(f165(x68211),x68214)) % 186.59/186.35 [6873]~P147(x68731)+E(f183(x68731,x68732,f862(a105,x68733),x68734),f183(x68731,x68732,x68733,f862(x68732,x68734))) % 186.59/186.35 [6936]~P1(f862(f862(f321(x69364),x69363),f285(x69364,x69361,x69362)))+P1(f862(f862(x69361,x69362),x69363)) % 186.59/186.35 [6937]~P1(f862(f862(f321(x69374),x69373),f286(x69374,x69371,x69372)))+P1(f862(f862(x69371,x69372),x69373)) % 186.59/186.35 [6938]~P1(f862(f862(f321(x69384),x69382),f287(x69384,x69381,x69383)))+P1(f862(f862(x69381,x69382),x69383)) % 186.59/186.35 [6939]~P1(f862(f862(f321(x69394),x69392),f289(x69394,x69391,x69393)))+P1(f862(f862(x69391,x69392),x69393)) % 186.59/186.35 [7015]E(f862(f28(f930(x70151,x70152)),f305(x70151,x70152,x70153,x70154)),f2(a924))+P1(f862(f54(x70152),x70154)) % 186.59/186.35 [7016]E(f862(f28(f930(x70161,x70162)),f305(x70161,x70162,x70163,x70164)),f2(a924))+P1(f862(f54(x70161),x70163)) % 186.59/186.35 [7219]~P12(x72194,x72191,x72192)+E(f862(f66(x72191,x72191,x72191,f862(x72192,x72193)),f862(x72192,x72193)),f862(x72192,x72193)) % 186.59/186.35 [7464]E(f269(x74641,x74642,x74643,x74644),f862(f244(f932(a92,f932(a921,f928(f926(x74641)))),f931(a92,a92)),f34(x74641)))+~P1(f862(f862(f227(a92),x74643),f2(a92))) % 186.59/186.35 [8103]~E(x81032,x81033)+P1(f862(f862(f321(f931(x81031,x81031)),f862(f862(f244(x81031,x81031),x81032),x81033)),f299(x81031,x81034))) % 186.59/186.35 [8132]~P22(x81321,x81322,x81323,f234(f932(x81321,a921)))+E(f862(f70(x81321,x81322,f234(f932(x81321,a921)),x81323),f862(x81323,x81324)),x81324) % 186.59/186.35 [8133]~P22(x81331,x81332,x81333,f234(f932(x81331,a921)))+E(f862(f86(x81331,x81332,f234(f932(x81331,a921)),x81333),f862(x81333,x81334)),x81334) % 186.59/186.35 [8223]~P1(f862(f862(f321(f925(x82231)),f862(f862(f144(x82231),x82234),x82232)),f154(x82231,x82233)))+P1(f862(f862(f321(f925(x82231)),x82232),f154(x82231,x82233))) % 186.59/186.35 [8224]~P1(f862(f862(f321(f925(x82241)),f862(f862(f127(x82241),x82244),x82242)),f154(x82241,x82243)))+P1(f862(f862(f321(f925(x82241)),x82242),f154(x82241,x82243))) % 186.59/186.35 [8225]~P1(f862(f862(f321(f925(x82251)),f862(f862(f127(x82251),x82252),x82254)),f154(x82251,x82253)))+P1(f862(f862(f321(f925(x82251)),x82252),f154(x82251,x82253))) % 186.59/186.35 [8236]~P109(x82361)+P11(x82361,f862(f862(f147(x82362,x82361),x82363),f143(x82362,x82361,x82363,x82364))) % 186.59/186.35 [8342]P22(x83424,x83423,x83421,x83422)+E(f862(x83421,f537(x83422,x83421,x83423,x83424)),f862(x83421,f538(x83422,x83421,x83423,x83424))) % 186.59/186.35 [8449]~P22(x84492,x84491,x84494,x84493)+P22(x84491,x84492,f70(x84492,x84491,x84493,x84494),f862(f302(x84492,x84491,x84494),x84493)) % 186.59/186.35 [8588]P35(f931(x85882,x85884),f272(x85882,x85884,x85881,x85883))+P1(f862(x85881,f558(x85882,x85883,x85884,x85881))) % 186.59/186.35 [8705]E(x87051,x87052)+~P1(f862(f862(f321(f931(x87053,x87053)),f862(f862(f244(x87053,x87053),x87051),x87052)),f255(x87053,x87054))) % 186.59/186.35 [8770]~P1(f862(f54(f930(x87703,x87701)),f305(x87703,x87701,x87704,x87702)))+P1(f862(f54(x87701),x87702)) % 186.59/186.35 [8771]~P1(f862(f54(f930(x87711,x87713)),f305(x87711,x87713,x87712,x87714)))+P1(f862(f54(x87711),x87712)) % 186.59/186.35 [8780]~P22(x87801,x87802,x87803,x87804)+P23(x87801,x87802,x87803,x87804,f862(f302(x87801,x87802,x87803),x87804)) % 186.59/186.35 [8781]P9(x87811,x87812,x87813,x87814)+~E(f862(x87814,f834(x87812,x87814,x87813,x87811)),f862(x87814,f835(x87812,x87814,x87813,x87811))) % 186.59/186.35 [8871]~P23(x88712,x88713,x88714,x88711,f181(f932(x88713,a921)))+E(x88711,f181(f932(x88712,a921))) % 186.59/186.35 [8872]~P23(x88723,x88722,x88724,f181(f932(x88723,a921)),x88721)+E(x88721,f181(f932(x88722,a921))) % 186.59/186.35 [8965]P35(f931(x89651,x89652),f272(x89651,x89652,x89653,x89654))+~P35(x89652,f862(x89654,f558(x89651,x89654,x89652,x89653))) % 186.59/186.35 [9532]E(f862(f862(f152(x95321,x95322),f675(x95323,x95324,x95322,x95321)),f676(x95323,x95324,x95322,x95321)),x95324)+~P1(f862(f862(f321(f931(f925(x95321),f925(x95321))),f862(f862(f244(f925(x95321),f925(x95321)),x95322),x95324)),f150(x95321,x95323))) % 186.59/186.35 [9538]~P1(f862(f862(f321(f931(f925(x95381),f925(x95381))),f862(f862(f244(f925(x95381),f925(x95381)),x95382),x95383)),f138(x95381,x95384)))+P1(f862(f862(f321(f931(f925(x95381),f925(x95381))),f862(f862(f244(f925(x95381),f925(x95381)),x95382),x95383)),f140(x95381,x95384))) % 186.59/186.35 [9652]P1(f862(f54(x96521),x96522))+~P1(f862(f862(f321(f931(f932(x96521,a921),f932(x96521,a921))),f862(f862(f244(f932(x96521,a921),f932(x96521,a921)),x96523),x96522)),f310(x96521,x96524))) % 186.59/186.35 [9653]P1(f862(f54(x96531),x96532))+~P1(f862(f862(f321(f931(f932(x96531,a921),f932(x96531,a921))),f862(f862(f244(f932(x96531,a921),f932(x96531,a921)),x96532),x96533)),f310(x96531,x96534))) % 186.59/186.35 [9656]~E(x96561,f181(f932(x96562,a921)))+~P1(f862(f862(f321(f931(f932(x96562,a921),f932(x96562,a921))),f862(f862(f244(f932(x96562,a921),f932(x96562,a921)),x96563),x96561)),f310(x96562,x96564))) % 186.59/186.35 [10305]P9(x103051,x103052,x103053,x103054)+~P1(f862(f862(f249(x103051,x103051,a921),f862(f862(f9(x103051,f932(x103051,x103052),f932(x103051,a921)),f862(f862(f10(f932(x103052,a921),f932(f932(x103051,x103052),f932(x103051,a921)),x103051),f10(x103052,a921,x103051)),f862(f862(f10(x103052,f932(x103052,a921),x103051),a317),x103054))),x103054)),f593(x103054,x103053,x103052,x103051))) % 186.59/186.35 [5134]~E(x51342,f106(x51341))+E(f862(f862(f152(x51341,x51342),x51343),x51344),f106(x51341)) % 186.59/186.35 [5135]~E(x51354,f106(x51351))+E(f862(f862(f147(x51351,x51352),x51353),x51354),f106(x51352)) % 186.59/186.35 [5368]E(x53681,f106(x53682))+~E(f862(f862(f147(x53682,x53683),x53684),x53681),f106(x53683)) % 186.59/186.35 [5369]E(x53691,f106(x53692))+~E(f862(f862(f152(x53692,x53691),x53693),x53694),f106(x53692)) % 186.59/186.35 [5407]E(x54071,x54072)+~E(f862(f862(f127(x54073),x54074),x54071),f862(f862(f127(x54073),x54074),x54072)) % 186.59/186.35 [5408]E(x54081,x54082)+~E(f862(f862(f127(x54083),x54081),x54084),f862(f862(f127(x54083),x54082),x54084)) % 186.59/186.35 [5559]P1(f862(x55593,x55592))+E(f163(x55591,x55592,f862(f129(x55591,x55593),x55594)),f862(f129(x55591,x55593),x55594)) % 186.59/186.35 [5561]~P1(f862(x55612,x55613))+P31(x55611,x55612,f862(f862(f144(x55611),x55613),x55614)) % 186.59/186.35 [5570]E(x55701,x55702)+~E(f132(a924,f862(f295(a924,x55701),x55703)),f862(f862(f144(a924),x55702),x55704)) % 186.59/186.35 [5618]~P24(x56182,x56183)+P24(x56181,f862(f862(f67(x56182,x56181),x56183),x56184)) % 186.59/186.35 [5619]~P35(x56192,x56193)+P35(x56191,f862(f862(f279(x56192,x56191),x56193),x56194)) % 186.59/186.35 [5620]~P36(x56202,x56203)+P36(x56201,f862(f862(f279(x56202,x56201),x56203),x56204)) % 186.59/186.35 [5621]~P49(x56212,x56213)+P49(x56211,f862(f862(f279(x56212,x56211),x56213),x56214)) % 186.59/186.35 [5750]~P31(x57501,x57502,x57504)+P31(x57501,x57502,f862(f862(f144(x57501),x57503),x57504)) % 186.59/186.35 [5751]~P31(x57511,x57512,x57514)+P31(x57511,x57512,f862(f862(f127(x57511),x57513),x57514)) % 186.59/186.35 [5752]~P31(x57521,x57522,x57523)+P31(x57521,x57522,f862(f862(f127(x57521),x57523),x57524)) % 186.59/186.35 [5840]~E(x58401,f106(x58402))+~E(f862(f862(f127(x58402),x58403),f862(f862(f144(x58402),x58404),f106(x58402))),x58401) % 186.59/186.35 [5865]~P29(x58653,x58651,f862(f862(f144(x58653),x58652),x58654))+P1(f862(x58651,x58652)) % 186.59/186.35 [5875]E(f107(x58751,x58752),x58753)+~E(f862(f862(f127(x58751),x58753),f862(f862(f144(x58751),x58754),f106(x58751))),x58752) % 186.59/186.35 [5876]E(f137(x58761,x58762),x58763)+~E(f862(f862(f127(x58761),x58764),f862(f862(f144(x58761),x58763),f106(x58761))),x58762) % 186.59/186.35 [5986]~E(f132(a924,f862(f295(a924,x59861),x59862)),f862(f862(f144(a924),x59863),x59864))+P1(f862(f862(f228(a924),x59861),x59862)) % 186.59/186.35 [5995]P29(x59951,x59952,x59953)+~P29(x59951,x59952,f862(f862(f144(x59951),x59954),x59953)) % 186.59/186.35 [5996]P29(x59961,x59962,x59963)+~P29(x59961,x59962,f862(f862(f127(x59961),x59964),x59963)) % 186.59/186.35 [5997]P29(x59971,x59972,x59973)+~P29(x59971,x59972,f862(f862(f127(x59971),x59973),x59974)) % 186.59/186.35 [6195]E(x61951,f862(f862(f127(x61952),f862(f161(x61952),x61953)),f862(f862(f144(x61952),x61954),f106(x61952))))+~E(f862(f161(x61952),x61951),f862(f862(f144(x61952),x61954),x61953)) % 186.59/186.35 [6376]~P110(x63761)+E(f862(f862(f94(f932(x63761,a921)),f862(f295(x63761,x63762),x63763)),f862(f295(x63761,x63763),x63764)),f181(f932(x63761,a921))) % 186.59/186.35 [6387]E(f862(f862(f157(x63871),f162(x63871,x63872,x63873)),x63874),x63873)+~P1(f862(f862(f228(a924),x63874),x63872)) % 186.59/186.35 [6414]~P72(x64141)+E(f862(f158(x64141),f862(f862(f147(a1,x64141),x64142),f171(x64143,x64144))),f862(f862(f8(a1,x64141),x64142),f862(f165(a1),f171(x64143,x64144)))) % 186.59/186.35 [6415]~P72(x64151)+E(f862(f862(f8(a1,x64151),x64152),f862(f165(a1),f171(x64153,x64154))),f862(f158(x64151),f862(f862(f147(a1,x64151),x64152),f171(x64153,x64154)))) % 186.59/186.35 [6563]~E(x65632,f862(f862(f127(x65631),f862(f161(x65631),x65634)),f862(f862(f144(x65631),x65633),f106(x65631))))+E(f862(f161(x65631),x65632),f862(f862(f144(x65631),x65633),x65634)) % 186.59/186.35 [6579]~P17(x65792,x65793,x65794,x65791)+E(f862(x65791,f181(f932(x65792,a921))),f25(x65793)) % 186.59/186.35 [6606]~P110(x66061)+E(f862(f862(f94(f932(x66061,a921)),f298(x66061,x66062,x66063)),f862(f295(x66061,x66063),x66064)),f181(f932(x66061,a921))) % 186.59/186.35 [6823]E(x68231,f181(f932(x68232,a921)))+~E(f305(x68233,x68232,x68234,x68231),f181(f932(f930(x68233,x68232),a921))) % 186.59/186.35 [6824]E(x68241,f181(f932(x68242,a921)))+~E(f305(x68242,x68243,x68241,x68244),f181(f932(f930(x68242,x68243),a921))) % 186.59/186.35 [6893]~P109(x68932)+E(f862(f182(f925(x68931)),f143(x68931,x68932,x68933,x68934)),f862(f182(f925(x68931)),x68934)) % 186.59/186.35 [6904]~P1(f862(f242(x69043,x69044,x69041),x69042))+P1(f862(f862(x69041,f562(x69042,x69041)),x69042)) % 186.59/186.35 [6948]~P1(f862(f54(x69482),x69484))+P1(f862(f54(x69481),f862(f302(x69482,x69481,x69483),x69484))) % 186.59/186.35 [7181]~P22(x71812,x71811,x71813,x71814)+E(f862(f28(x71811),f862(f302(x71812,x71811,x71813),x71814)),f862(f28(x71812),x71814)) % 186.59/186.35 [7199]E(f862(f302(x71991,x71992,x71993),f862(f303(x71991,x71992,x71993),x71994)),x71994)+~E(f862(f302(x71991,x71992,x71993),f234(f932(x71991,a921))),f234(f932(x71992,a921))) % 186.59/186.35 [7615]~P22(x76151,x76152,x76153,f234(f932(x76151,a921)))+E(f862(f303(x76151,x76152,x76153),f862(f302(x76151,x76152,x76153),x76154)),x76154) % 186.59/186.35 [7897]E(x78971,x78972)+~P1(f862(f862(f321(x78973),x78971),f862(f165(x78973),f162(x78973,x78974,x78972)))) % 186.59/186.35 [7906]~E(x79061,f2(a924))+~P1(f862(f862(f321(x79062),x79063),f862(f165(x79062),f162(x79062,x79061,x79064)))) % 186.59/186.35 [7939]P1(f862(x79391,x79392))+~P1(f862(f862(f321(x79393),x79392),f862(f165(x79393),f170(x79393,x79391,x79394)))) % 186.59/186.35 [8048]~P1(f862(f862(f321(f925(x80481)),f862(f862(f144(x80481),x80482),x80484)),f154(x80481,x80483)))+P1(f862(f862(f321(x80481),x80482),x80483)) % 186.59/186.35 [8179]~P1(f862(f862(f321(x81791),x81792),f862(f165(x81791),f169(x81791,x81793,x81794))))+P1(f862(f862(f321(x81791),x81792),f862(f165(x81791),x81793))) % 186.59/186.35 [8180]~P1(f862(f862(f321(x81801),x81802),f862(f165(x81801),f163(x81801,x81804,x81803))))+P1(f862(f862(f321(x81801),x81802),f862(f165(x81801),x81803))) % 186.59/186.35 [8181]~P1(f862(f862(f321(x81811),x81812),f862(f165(x81811),f170(x81811,x81814,x81813))))+P1(f862(f862(f321(x81811),x81812),f862(f165(x81811),x81813))) % 186.59/186.35 [8191]E(f862(f182(f925(x81911)),x81912),x81913)+~P1(f862(f862(f321(f925(x81911)),x81912),f862(f165(f925(x81911)),f48(x81911,x81913,x81914)))) % 186.59/186.35 [8288]P1(f862(x82883,x82882))+E(f862(f129(x82881,f862(f862(f10(a921,a921,x82881),a314),f862(a317,x82882))),f862(f129(x82881,x82883),x82884)),f862(f129(x82881,x82883),x82884)) % 186.59/186.35 [8401]E(f862(f862(f157(x84011),f170(x84011,x84012,x84013)),x84014),f862(f862(f157(x84011),x84013),x84014))+~P1(f862(f862(f228(a924),x84014),f862(f182(f925(x84011)),f170(x84011,x84012,x84013)))) % 186.59/186.35 [8487]~P72(x84871)+E(f862(f862(f8(a924,x84871),f862(f862(f10(a924,x84871,a924),x84872),a105)),f862(f295(a924,x84873),x84874)),f862(f862(f8(a924,x84871),x84872),f862(f295(a924,f862(a105,x84873)),f862(a105,x84874)))) % 186.59/186.35 [8496]~P72(x84961)+E(f862(f862(f8(a924,x84961),f862(f862(f10(a924,x84961,a924),x84962),a105)),f296(a924,x84963,x84964)),f862(f862(f8(a924,x84961),x84962),f296(a924,f862(a105,x84963),f862(a105,x84964)))) % 186.59/186.35 [8624]~P22(x86241,x86243,x86244,f234(f932(x86241,a921)))+P22(x86241,f932(x86242,x86243),f862(f862(f10(x86243,f932(x86242,x86243),x86241),f18(x86243,x86242)),x86244),f234(f932(x86241,a921))) % 186.59/186.35 [8711]~P22(x87112,x87111,x87114,x87113)+E(f862(f302(x87111,x87112,f70(x87112,x87111,x87113,x87114)),f862(f302(x87112,x87111,x87114),x87113)),x87113) % 186.59/186.35 [8772]~P1(f862(f862(f321(f931(x87721,x87721)),f862(f862(f244(x87721,x87721),x87722),x87724)),f255(x87721,x87723)))+P1(f862(f862(f321(x87721),x87722),x87723)) % 186.59/186.35 [8896]~P22(x88962,x88961,x88963,f234(f932(x88962,a921)))+E(f862(f302(x88961,x88962,f86(x88962,x88961,f234(f932(x88962,a921)),x88963)),f862(f302(x88962,x88961,x88963),x88964)),x88964) % 186.59/186.35 [8971]~P23(x89711,x89712,x89713,x89714,f234(f932(x89712,a921)))+E(f862(f302(x89711,x89712,x89713),f234(f932(x89711,a921))),f234(f932(x89712,a921))) % 186.59/186.35 [9004]~E(f862(f862(f8(x90041,a924),x90044),x90043),f862(a105,x90042))+P1(f862(f862(f321(x90041),f373(x90042,x90043,x90044,x90041)),x90043)) % 186.59/186.35 [9026]~E(f862(f862(f8(x90264,a924),x90261),x90263),f862(a105,x90262))+P1(f862(f862(f228(a924),f2(a924)),f862(x90261,f373(x90262,x90263,x90261,x90264)))) % 186.59/186.35 [9038]~P1(f862(f54(x90382),x90384))+P1(f862(f862(f227(a924),f862(f28(x90381),f862(f302(x90382,x90381,x90383),x90384))),f862(f28(x90382),x90384))) % 186.59/186.35 [9039]E(f862(f862(f244(x90391,x90392),f647(x90393,x90394,x90392,x90391)),f648(x90393,x90394,x90392,x90391)),x90394)+~P1(f862(f862(f321(f931(x90391,x90392)),x90394),f862(f277(x90392,x90391),x90393))) % 186.59/186.35 [9047]P22(x90471,x90472,x90473,x90474)+P1(f862(f862(f321(x90471),f537(x90474,x90473,x90472,x90471)),x90474)) % 186.59/186.35 [9048]P22(x90481,x90482,x90483,x90484)+P1(f862(f862(f321(x90481),f538(x90484,x90483,x90482,x90481)),x90484)) % 186.59/186.35 [9116]P9(x91161,x91162,x91163,x91164)+P1(f862(f862(f321(f931(x91161,x91161)),f593(x91164,x91163,x91162,x91161)),x91163)) % 186.59/186.35 [9170]P1(f862(x91701,x91702))+~P1(f862(x91701,f862(f862(f244(x91703,x91704),f495(x91704,x91703,x91701)),f496(x91704,x91703,x91701)))) % 186.59/186.35 [9187]E(f862(f182(f925(x91871)),x91872),f862(f182(f925(x91871)),x91873))+~P1(f862(f862(f321(f931(f925(x91871),f925(x91871))),f862(f862(f244(f925(x91871),f925(x91871)),x91872),x91873)),f138(x91871,x91874))) % 186.59/186.35 [9188]E(f862(f182(f925(x91881)),x91882),f862(f182(f925(x91881)),x91883))+~P1(f862(f862(f321(f931(f925(x91881),f925(x91881))),f862(f862(f244(f925(x91881),f925(x91881)),x91882),x91883)),f150(x91881,x91884))) % 186.59/186.35 [9191]E(f862(f182(f925(x91911)),x91912),f862(f182(f925(x91911)),x91913))+~P1(f862(f862(f321(f931(f925(x91911),f925(x91911))),f862(f862(f244(f925(x91911),f925(x91911)),x91912),x91913)),f151(x91911,x91914))) % 186.59/186.35 [9260]P1(f862(f862(f227(a924),f148(x92601,x92602,x92603)),f148(x92601,x92604,x92603)))+P1(f862(f862(f321(x92601),f674(x92604,x92602,x92603,x92601)),f862(f165(x92601),x92603))) % 186.59/186.35 [9263]E(f862(f182(f925(x92631)),x92632),f862(f182(f925(x92631)),x92633))+~P1(f862(f862(f321(f931(f925(x92631),f925(x92631))),f862(f862(f244(f925(x92631),f925(x92631)),x92632),x92633)),f299(f925(x92631),f150(x92631,x92634)))) % 186.59/186.35 [9503]~P22(x95031,x95032,x95033,x95034)+~P1(f862(f862(f228(a924),f862(f28(x95032),f862(f302(x95031,x95032,x95033),x95034))),f862(f28(x95031),x95034))) % 186.59/186.35 [9551]~P1(f862(f862(f321(f931(f925(x95511),f925(x95511))),f862(f862(f244(f925(x95511),f925(x95511)),x95512),x95513)),f150(x95511,x95514)))+P1(f862(f862(f321(f931(f925(x95511),f925(x95511))),f862(f862(f244(f925(x95511),f925(x95511)),x95512),x95513)),f151(x95511,f299(x95511,x95514)))) % 186.59/186.35 [9555]~P1(f862(f862(f321(f931(f925(x95551),f925(x95551))),f862(f862(f244(f925(x95551),f925(x95551)),x95552),x95553)),f151(x95551,x95554)))+P1(f862(f862(f321(f931(f925(x95551),f925(x95551))),f862(f862(f244(f925(x95551),f925(x95551)),x95552),x95553)),f299(f925(x95551),f150(x95551,x95554)))) % 186.59/186.35 [9572]P1(f862(f862(f321(f931(x95721,x95721)),f862(f862(f244(x95721,x95721),x95722),x95723)),f299(x95721,x95724)))+~P1(f862(f862(f321(f931(x95721,x95721)),f862(f862(f244(x95721,x95721),x95722),x95723)),f862(f862(f280(x95721,x95721,x95721),x95724),f299(x95721,x95724)))) % 186.59/186.35 [9647]P1(f862(f862(f278(a924),x96471),x96472))+~P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x96473,x96474)),f281(a924,f278(a924),x96471,x96472))) % 186.59/186.35 [9767]E(f862(f862(f127(x97671),f690(x97672,x97673,x97674,x97671)),f862(f862(f144(x97671),f691(x97672,x97673,x97674,x97671)),f693(x97672,x97673,x97674,x97671))),x97674)+~P1(f862(f862(f321(f931(f925(x97671),f925(x97671))),f862(f862(f244(f925(x97671),f925(x97671)),x97674),x97673)),f150(x97671,x97672))) % 186.59/186.35 [9768]E(f862(f862(f127(x97681),f690(x97682,x97683,x97684,x97681)),f862(f862(f144(x97681),f692(x97682,x97683,x97684,x97681)),f693(x97682,x97683,x97684,x97681))),x97683)+~P1(f862(f862(f321(f931(f925(x97681),f925(x97681))),f862(f862(f244(f925(x97681),f925(x97681)),x97684),x97683)),f150(x97681,x97682))) % 186.59/186.35 [9846]P1(f862(f862(f321(f931(x98461,x98461)),f862(f862(f244(x98461,x98461),x98462),f645(x98463,x98464,x98462,x98461))),f299(x98461,x98463)))+~P1(f862(f862(f321(f931(x98461,x98461)),f862(f862(f244(x98461,x98461),x98462),x98464)),f862(f862(f280(x98461,x98461,x98461),x98463),f299(x98461,x98463)))) % 186.59/186.35 [9915]P1(f862(f862(f227(a924),f148(x99151,x99152,x99153)),f148(x99151,x99154,x99153)))+~P1(f862(f862(f228(a924),f862(x99152,f674(x99154,x99152,x99153,x99151))),f862(x99154,f674(x99154,x99152,x99153,x99151)))) % 186.59/186.35 [9987]P1(f862(f862(f321(f931(x99871,x99871)),f862(f862(f244(x99871,x99871),f637(x99872,x99873,x99874,x99871)),x99873)),f299(x99871,x99872)))+~P1(f862(f862(f321(f931(x99871,x99871)),f862(f862(f244(x99871,x99871),x99874),x99873)),f862(f862(f280(x99871,x99871,x99871),x99872),f299(x99871,x99872)))) % 186.59/186.35 [5389]~E(x53892,x53893)+E(f163(x53891,x53892,f862(f862(f144(x53891),x53893),x53894)),x53894) % 186.59/186.35 [5514]P1(f862(x55142,x55143))+E(f170(x55141,x55142,f862(f862(f144(x55141),x55143),x55144)),f106(x55141)) % 186.59/186.35 [5582]~P82(x55822)+E(f862(f862(f72(f932(x55821,x55822)),x55823),x55824),f862(f72(x55822),f862(x55823,x55824))) % 186.59/186.35 [5595]~E(x55952,f2(a924))+E(f862(f862(f131(x55951),x55952),f862(f862(f144(x55951),x55953),x55954)),f862(f862(f144(x55951),x55953),x55954)) % 186.59/186.35 [5596]P1(f862(x55962,x55963))+E(f862(f129(x55961,x55962),f862(f862(f144(x55961),x55963),x55964)),f862(f129(x55961,x55962),x55964)) % 186.59/186.35 [5732]~E(x57322,x57324)+P1(f862(f862(f862(f301(x57321),x57322),x57323),x57324)) % 186.59/186.35 [5741]E(x57411,f106(x57412))+E(f137(x57413,f862(f862(f147(x57412,x57413),x57414),x57411)),f862(x57414,f137(x57412,x57411))) % 186.59/186.35 [5755]~E(x57551,f56(x57552,x57554))+E(f862(x57551,f862(f862(f301(x57552),x57553),f181(f932(x57552,a921)))),x57553) % 186.59/186.35 [5792]E(x57921,f106(x57922))+E(f862(f134(x57923),f862(f862(f147(x57922,x57923),x57924),x57921)),f862(x57924,f862(f134(x57922),x57921))) % 186.59/186.35 [5895]~P1(f862(x58953,x58954))+P1(f862(f862(f862(f301(x58951),x58952),x58953),x58954)) % 186.59/186.35 [6014]~P16(x60142,x60144,x60141)+E(f862(x60141,f862(f862(f301(x60142),x60143),f181(f932(x60142,a921)))),x60143) % 186.59/186.35 [6040]~E(x60402,x60403)+P1(f862(f862(f321(x60401),x60402),f862(f862(f301(x60401),x60403),x60404))) % 186.59/186.35 [6045]~P93(x60451)+E(f862(f862(f103(x60451),x60452),f862(f862(f103(x60451),x60453),x60454)),f862(f862(f103(x60451),x60453),f862(f862(f103(x60451),x60452),x60454))) % 186.59/186.35 [6047]~P103(x60471)+E(f862(f862(f103(x60471),x60472),f862(f862(f103(x60471),x60473),x60474)),f862(f862(f103(x60471),x60473),f862(f862(f103(x60471),x60472),x60474))) % 186.59/186.35 [6048]~P93(x60481)+E(f862(f862(f94(x60481),x60482),f862(f862(f94(x60481),x60483),x60484)),f862(f862(f94(x60481),x60483),f862(f862(f94(x60481),x60482),x60484))) % 186.59/186.35 [6050]~P104(x60501)+E(f862(f862(f94(x60501),x60502),f862(f862(f94(x60501),x60503),x60504)),f862(f862(f94(x60501),x60503),f862(f862(f94(x60501),x60502),x60504))) % 186.59/186.35 [6051]~P119(x60511)+E(f862(f862(f74(x60511),x60512),f862(f862(f74(x60511),x60513),x60514)),f862(f862(f74(x60511),x60513),f862(f862(f74(x60511),x60512),x60514))) % 186.59/186.35 [6052]~P119(x60521)+E(f862(f862(f73(x60521),x60522),f862(f862(f73(x60521),x60523),x60524)),f862(f862(f73(x60521),x60523),f862(f862(f73(x60521),x60522),x60524))) % 186.59/186.35 [6054]~P109(x60541)+E(f862(f862(f225(x60541),x60542),f862(f862(f225(x60541),x60543),x60544)),f862(f862(f225(x60541),x60543),f862(f862(f225(x60541),x60542),x60544))) % 186.59/186.35 [6056]~P109(x60561)+E(f862(f862(f226(x60561),x60562),f862(f862(f226(x60561),x60563),x60564)),f862(f862(f226(x60561),x60563),f862(f862(f226(x60561),x60562),x60564))) % 186.59/186.35 [6063]E(x60631,x60632)+E(f163(x60633,x60631,f862(f862(f144(x60633),x60632),x60634)),f862(f862(f144(x60633),x60632),f163(x60633,x60631,x60634))) % 186.59/186.35 [6078]~P1(f862(x60782,x60783))+E(f862(f129(x60781,x60782),f862(f862(f144(x60781),x60783),x60784)),f862(f862(f144(x60781),x60783),f862(f129(x60781,x60782),x60784))) % 186.59/186.35 [6218]~P1(f862(x62182,x62183))+E(f170(x62181,x62182,f862(f862(f144(x62181),x62183),x62184)),f862(f862(f144(x62181),x62183),f170(x62181,x62182,x62184))) % 186.59/186.35 [6282]E(x62821,f181(f932(x62822,a921)))+E(f862(f862(f32(x62822,f932(x62823,a921)),x62821),f862(f18(f932(x62823,a921),x62822),x62824)),x62824) % 186.59/186.35 [6283]E(x62831,f181(f932(x62832,a921)))+E(f862(f862(f33(x62832,f932(x62833,a921)),x62831),f862(f18(f932(x62833,a921),x62832),x62834)),x62834) % 186.59/186.35 [6292]~E(x62924,f181(f932(x62922,a921)))+E(f862(f862(f246(x62921,x62922),x62923),f862(f18(f932(x62922,a921),x62921),x62924)),f181(f932(f931(x62921,x62922),a921))) % 186.59/186.35 [6293]~E(x62933,f181(f932(x62931,a921)))+E(f862(f862(f246(x62931,x62932),x62933),f862(f18(f932(x62932,a921),x62931),x62934)),f181(f932(f931(x62931,x62932),a921))) % 186.59/186.35 [6347]E(x63471,f2(a924))+E(f862(f862(f131(x63472),x63471),f862(f862(f144(x63472),x63473),x63474)),f862(f862(f131(x63472),f862(f862(f3(a924),x63471),f71(a924))),x63474)) % 186.59/186.35 [6369]E(x63691,f181(f932(x63692,a921)))+E(f862(f302(x63692,x63693,f862(f18(x63693,x63692),x63694)),x63691),f862(f862(f301(x63693),x63694),f181(f932(x63693,a921)))) % 186.59/186.35 [6372]E(f862(f303(x63721,x63722,f862(f18(x63722,x63721),x63723)),x63724),f181(f932(x63721,a921)))+P1(f862(f862(f321(x63722),x63723),x63724)) % 186.59/186.35 [6439]~E(x64393,f181(f932(x64391,a921)))+E(f862(f862(f32(x64391,f932(x64392,a921)),x64393),f862(f18(f932(x64392,a921),x64391),x64394)),f234(f932(x64392,a921))) % 186.59/186.35 [6440]~E(x64403,f181(f932(x64401,a921)))+E(f862(f862(f33(x64401,f932(x64402,a921)),x64403),f862(f18(f932(x64402,a921),x64401),x64404)),f181(f932(x64402,a921))) % 186.59/186.35 [6442]~P61(x64421)+E(f38(x64421,f862(f862(f74(x64421),x64422),x64423),f862(f862(f74(x64421),x64422),x64424)),f862(f862(f74(x64421),x64422),f38(x64421,x64423,x64424))) % 186.59/186.35 [6616]E(f862(f303(x66161,x66162,f862(f18(x66162,x66161),x66163)),x66164),f234(f932(x66161,a921)))+~P1(f862(f862(f321(x66162),x66163),x66164)) % 186.59/186.35 [6639]~P1(f862(f862(f321(x66391),x66392),x66394))+P1(f862(f862(f321(x66391),x66392),f862(f862(f301(x66391),x66393),x66394))) % 186.59/186.35 [6644]P1(f862(x66441,x66442))+~P1(f862(f153(x66443,x66441),f862(f862(f144(x66443),x66442),x66444))) % 186.59/186.35 [6653]~E(x66533,f862(f862(f3(a924),f862(f182(f925(x66531)),x66532)),f71(a924)))+E(f107(x66531,f862(f862(f152(x66531,x66532),x66533),x66534)),f107(x66531,x66532)) % 186.59/186.35 [6674]~P109(x66741)+E(f862(f862(f94(f932(x66741,a921)),f862(f294(x66741),x66742)),f296(x66741,x66743,x66744)),f296(x66741,x66743,f862(f862(f225(x66741),x66742),x66744))) % 186.59/186.35 [6675]~P109(x66751)+E(f862(f862(f94(f932(x66751,a921)),f862(f274(x66751),x66752)),f296(x66751,x66753,x66754)),f296(x66751,f862(f862(f226(x66751),x66752),x66753),x66754)) % 186.59/186.35 [6691]E(f862(f862(f94(f932(x66911,a921)),x66912),f862(f862(f301(x66911),x66913),x66914)),f862(f862(f94(f932(x66911,a921)),x66912),x66914))+P1(f862(f862(f321(x66911),x66913),x66912)) % 186.59/186.35 [6703]E(f163(x67031,x67032,f862(f862(f127(x67031),x67033),x67034)),f862(f862(f127(x67031),x67033),f163(x67031,x67032,x67034)))+P1(f862(f862(f321(x67031),x67032),f862(f165(x67031),x67033))) % 186.59/186.35 [6708]~P80(x67081)+E(f862(f862(f74(x67081),f862(f862(f236(x67081),x67082),x67083)),f862(f862(f236(x67081),x67082),x67084)),f862(f862(f236(x67081),x67082),f862(f862(f73(a924),x67083),x67084))) % 186.59/186.35 [6709]~P119(x67091)+E(f862(f862(f74(x67091),f862(f862(f236(x67091),x67092),x67093)),f862(f862(f236(x67091),x67092),x67094)),f862(f862(f236(x67091),x67092),f862(f862(f73(a924),x67093),x67094))) % 186.59/186.35 [6747]~P102(x67471)+E(f862(f862(f94(x67471),f862(f862(f103(x67471),x67472),x67473)),f862(f862(f103(x67471),x67472),x67474)),f862(f862(f103(x67471),x67472),f862(f862(f94(x67471),x67473),x67474))) % 186.59/186.35 [6748]~P102(x67481)+E(f862(f862(f103(x67481),f862(f862(f94(x67481),x67482),x67483)),f862(f862(f94(x67481),x67482),x67484)),f862(f862(f94(x67481),x67482),f862(f862(f103(x67481),x67483),x67484))) % 186.59/186.35 [6749]~P119(x67491)+E(f862(f862(f73(x67491),f862(f862(f74(x67491),x67492),x67493)),f862(f862(f74(x67491),x67492),x67494)),f862(f862(f74(x67491),x67492),f862(f862(f73(x67491),x67493),x67494))) % 186.59/186.35 [6750]~P109(x67501)+E(f862(f862(f226(x67501),f862(f862(f225(x67501),x67502),x67503)),f862(f862(f225(x67501),x67502),x67504)),f862(f862(f225(x67501),x67502),f862(f862(f226(x67501),x67503),x67504))) % 186.59/186.35 [6751]~P109(x67511)+E(f862(f862(f225(x67511),f862(f862(f226(x67511),x67512),x67513)),f862(f862(f226(x67511),x67512),x67514)),f862(f862(f226(x67511),x67512),f862(f862(f225(x67511),x67513),x67514))) % 186.59/186.35 [6785]~P61(x67851)+E(f38(x67851,f862(f862(f74(x67851),x67852),x67853),f862(f862(f74(x67851),x67854),x67853)),f862(f862(f74(x67851),f38(x67851,x67852,x67854)),x67853)) % 186.59/186.35 [6788]~E(f862(f182(f925(x67881)),x67883),f862(f182(f925(x67882)),x67884))+E(f862(f862(f147(f931(x67881,x67882),x67882),f248(x67881,x67882)),f862(f862(f174(x67881,x67882),x67883),x67884)),x67884) % 186.59/186.35 [6789]~E(f862(f182(f925(x67891)),x67893),f862(f182(f925(x67892)),x67894))+E(f862(f862(f147(f931(x67891,x67892),x67891),f243(x67891,x67892)),f862(f862(f174(x67891,x67892),x67893),x67894)),x67893) % 186.59/186.35 [6794]P1(f862(f153(x67941,x67942),x67943))+~P1(f862(f153(x67941,x67942),f862(f862(f144(x67941),x67944),x67943))) % 186.59/186.35 [6795]P1(f862(f153(x67951,x67952),x67953))+~P1(f862(f153(x67951,x67952),f862(f862(f127(x67951),x67954),x67953))) % 186.59/186.35 [6796]P1(f862(f153(x67961,x67962),x67963))+~P1(f862(f153(x67961,x67962),f862(f862(f127(x67961),x67963),x67964))) % 186.59/186.35 [6801]~P62(x68011)+E(f38(x68011,f862(f862(f3(x68011),x68012),f38(x68011,x68013,x68014)),x68014),f38(x68011,f862(f862(f3(x68011),x68012),x68013),x68014)) % 186.59/186.35 [6802]~P61(x68021)+E(f38(x68021,f862(f862(f74(x68021),x68022),f38(x68021,x68023,x68024)),x68024),f38(x68021,f862(f862(f74(x68021),x68022),x68023),x68024)) % 186.59/186.35 [6804]~P61(x68041)+E(f38(x68041,f862(f862(f73(x68041),x68042),f38(x68041,x68043,x68044)),x68044),f38(x68041,f862(f862(f73(x68041),x68042),x68043),x68044)) % 186.59/186.35 [6886]~P109(x68861)+E(f862(f862(f94(f932(x68861,a921)),f296(x68861,x68862,x68863)),f862(f294(x68861),x68864)),f296(x68861,x68862,f862(f862(f225(x68861),x68863),x68864))) % 186.59/186.35 [6887]~P109(x68871)+E(f862(f862(f94(f932(x68871,a921)),f296(x68871,x68872,x68873)),f862(f274(x68871),x68874)),f296(x68871,f862(f862(f226(x68871),x68872),x68874),x68873)) % 186.59/186.35 [6890]~E(f862(f182(f925(x68901)),x68903),f862(f182(f925(x68902)),x68904))+E(f862(f862(f174(x68901,x68902),f862(f161(x68901),x68903)),f862(f161(x68902),x68904)),f862(f161(f931(x68901,x68902)),f862(f862(f174(x68901,x68902),x68903),x68904))) % 186.59/186.35 [6901]E(x69011,f862(f862(f3(a924),f862(f182(f925(x69012)),x69013)),f71(a924)))+E(f107(x69012,f862(f862(f152(x69012,x69013),x69011),x69014)),f862(f862(f152(x69012,f107(x69012,x69013)),x69011),x69014)) % 186.59/186.35 [6916]~P1(f862(f130(x69162),x69164))+P1(f862(f130(f931(x69161,x69162)),f862(f862(f174(x69161,x69162),x69163),x69164))) % 186.59/186.35 [6917]~P1(f862(f130(x69171),x69173))+P1(f862(f130(f931(x69171,x69172)),f862(f862(f174(x69171,x69172),x69173),x69174))) % 186.59/186.35 [7184]E(f862(f862(f29(a924),x71841),x71842),x71843)+~P1(f862(f41(x71841,x71842),f862(f862(f244(a924,a924),x71843),x71844))) % 186.59/186.35 [7207]E(f38(a924,x72071,x72072),x72073)+~P1(f862(f41(x72071,x72072),f862(f862(f244(a924,a924),x72074),x72073))) % 186.59/186.35 [7210]P1(f862(f130(x72101),x72102))+~P1(f862(f130(x72103),f862(f862(f147(x72101,x72103),x72104),x72102))) % 186.59/186.35 [7294]E(f163(x72941,x72942,f862(f862(f127(x72941),x72943),x72944)),f862(f862(f127(x72941),f163(x72941,x72942,x72943)),x72944))+~P1(f862(f862(f321(x72941),x72942),f862(f165(x72941),x72943))) % 186.59/186.35 [7387]~P62(x73871)+E(f38(x73871,f862(f862(f3(x73871),f38(x73871,x73872,x73873)),x73874),x73873),f38(x73871,f862(f862(f3(x73871),x73872),x73874),x73873)) % 186.59/186.35 [7390]~P61(x73901)+E(f38(x73901,f862(f862(f74(x73901),f38(x73901,x73902,x73903)),x73904),x73903),f38(x73901,f862(f862(f74(x73901),x73902),x73904),x73903)) % 186.59/186.35 [7391]~P61(x73911)+E(f38(x73911,f862(f862(f73(x73911),f38(x73911,x73912,x73913)),x73914),x73913),f38(x73911,f862(f862(f73(x73911),x73912),x73914),x73913)) % 186.59/186.35 [7586]~E(x75861,f862(f862(f144(x75862),x75863),x75864))+~P1(f862(f862(f227(a924),f862(f182(f925(x75862)),x75861)),f862(f182(f925(x75862)),x75864))) % 186.59/186.35 [7787]P22(x77871,x77872,x77873,f862(f165(x77871),x77874))+~P1(f862(f130(x77872),f862(f862(f147(x77871,x77872),x77873),x77874))) % 186.59/186.35 [7862]~P1(f862(f862(f227(f932(x78621,a921)),x78622),x78624))+P1(f862(f862(f227(f932(x78621,a921)),x78622),f862(f862(f301(x78621),x78623),x78624))) % 186.59/186.35 [7898]~P62(x78981)+E(f38(x78981,f862(f862(f3(x78981),f38(x78981,x78982,x78983)),f38(x78981,x78984,x78983)),x78983),f38(x78981,f862(f862(f3(x78981),x78982),x78984),x78983)) % 186.59/186.35 [7899]~P61(x78991)+E(f38(x78991,f862(f862(f74(x78991),f38(x78991,x78992,x78993)),f38(x78991,x78994,x78993)),x78993),f38(x78991,f862(f862(f74(x78991),x78992),x78994),x78993)) % 186.59/186.35 [7900]~P61(x79001)+E(f38(x79001,f862(f862(f73(x79001),f38(x79001,x79002,x79003)),f38(x79001,x79004,x79003)),x79003),f38(x79001,f862(f862(f73(x79001),x79002),x79004),x79003)) % 186.59/186.35 [8002]~E(f862(x80024,f466(x80024,x80023,x80021,x80022)),f181(f932(x80022,a921)))+E(f862(f862(f33(x80021,f932(x80022,a921)),x80023),x80024),f181(f932(x80022,a921))) % 186.59/186.35 [8003]~E(f862(x80034,f486(x80034,x80033,x80031,x80032)),f234(f932(x80032,a921)))+E(f862(f862(f32(x80031,f932(x80032,a921)),x80033),x80034),f234(f932(x80032,a921))) % 186.59/186.35 [8004]~E(f862(x80044,f489(x80044,x80043,x80042,x80041)),f234(f932(x80042,a921)))+E(f862(f862(f32(x80041,f932(x80042,a921)),x80043),x80044),f234(f932(x80042,a921))) % 186.59/186.35 [8005]~E(f862(x80054,f487(x80054,x80053,x80052,x80051)),f181(f932(x80052,a921)))+E(f862(f862(f33(x80051,f932(x80052,a921)),x80053),x80054),f181(f932(x80052,a921))) % 186.59/186.35 [8402]P1(f862(x84021,x84022))+~P1(f862(f862(f321(x84023),x84022),f862(f862(f94(f932(x84023,a921)),x84024),f862(f254(x84023),x84021)))) % 186.59/186.35 [8439]~P1(f862(f862(f227(f932(x84391,a921)),x84393),x84394))+P1(f862(f862(f227(f932(x84391,a921)),f862(f862(f301(x84391),x84392),x84393)),f862(f862(f301(x84391),x84392),x84394))) % 186.59/186.35 [8617]P1(f862(x86172,x86173))+E(f862(f862(f131(x86171),f862(f182(f925(x86171)),f170(x86171,x86172,f862(f862(f144(x86171),x86173),x86174)))),f862(f862(f144(x86171),x86173),x86174)),f862(f862(f144(x86171),x86173),x86174)) % 186.59/186.35 [8725]~P1(f862(f862(f228(a924),f862(x87254,x87252)),f862(x87254,x87253)))+P1(f862(f862(f321(f931(x87251,x87251)),f862(f862(f244(x87251,x87251),x87252),x87253)),f862(f862(f279(a924,x87251),a232),x87254))) % 186.59/186.35 [8822]~P1(f862(x88222,f747(x88224,x88222,x88223,x88221)))+E(f170(x88221,x88222,f862(f862(f127(x88221),x88223),x88224)),f862(f862(f127(x88221),x88223),f170(x88221,x88222,x88224))) % 186.59/186.35 [8900]P22(f925(x89001),f925(x89002),f862(f147(x89001,x89002),x89003),x89004)+~P22(x89001,x89002,x89003,f30(f932(x89001,a921),f862(f302(f925(x89001),f932(x89001,a921),f165(x89001)),x89004))) % 186.59/186.35 [8975]~P1(f862(x89752,x89753))+E(f862(f862(f131(x89751),f862(f182(f925(x89751)),f170(x89751,x89752,f862(f862(f144(x89751),x89753),x89754)))),f862(f862(f144(x89751),x89753),x89754)),f862(f862(f131(x89751),f862(f182(f925(x89751)),f170(x89751,x89752,x89754))),x89754)) % 186.59/186.35 [9016]~E(x90162,x90163)+E(f862(f129(x90161,f862(f862(f10(a921,a921,x90161),a314),f862(a317,x90162))),f862(f862(f144(x90161),x90163),x90164)),f862(f129(x90161,f862(f862(f10(a921,a921,x90161),a314),f862(a317,x90162))),x90164)) % 186.59/186.35 [9027]E(f862(f862(f33(x90271,f932(x90272,a921)),x90273),x90274),f181(f932(x90272,a921)))+P1(f862(f862(f321(x90271),f466(x90274,x90273,x90271,x90272)),x90273)) % 186.59/186.35 [9028]E(f862(f862(f32(x90281,f932(x90282,a921)),x90283),x90284),f234(f932(x90282,a921)))+P1(f862(f862(f321(x90281),f486(x90284,x90283,x90281,x90282)),x90283)) % 186.59/186.35 [9029]E(f862(f862(f32(x90291,f932(x90292,a921)),x90293),x90294),f234(f932(x90292,a921)))+P1(f862(f862(f321(x90291),f489(x90294,x90293,x90292,x90291)),x90293)) % 186.59/186.35 [9030]E(f862(f862(f33(x90301,f932(x90302,a921)),x90303),x90304),f181(f932(x90302,a921)))+P1(f862(f862(f321(x90301),f487(x90304,x90303,x90302,x90301)),x90303)) % 186.59/186.35 [9069]P1(f862(f862(f228(a924),f862(x90691,x90692)),f862(x90691,x90693)))+~P1(f862(f862(f321(f931(x90694,x90694)),f862(f862(f244(x90694,x90694),x90692),x90693)),f862(f862(f279(a924,x90694),a232),x90691))) % 186.59/186.35 [9095]E(f170(x90951,x90952,f862(f862(f127(x90951),x90953),x90954)),f862(f862(f127(x90951),x90953),f170(x90951,x90952,x90954)))+P1(f862(f862(f321(x90951),f747(x90954,x90952,x90953,x90951)),f862(f165(x90951),x90953))) % 186.59/186.35 [9146]~P23(x91461,x91462,x91463,f234(f932(x91461,a921)),f234(f932(x91462,a921)))+E(f862(f302(x91461,x91462,x91463),f862(f72(f932(x91461,a921)),x91464)),f862(f72(f932(x91462,a921)),f862(f302(x91461,x91462,x91463),x91464))) % 186.59/186.35 [9249]P1(f862(f862(f321(x92491),f525(x92492,x92493,x92494,x92491)),x92493))+~P1(f862(f862(f321(f932(x92491,a921)),x92494),f862(f862(f53(x92491),x92493),x92492))) % 186.59/186.35 [9252]E(x92521,x92522)+~P1(f862(f862(f321(f931(x92523,x92523)),f862(f862(f244(x92523,x92523),x92521),x92522)),f862(f862(f176(f931(x92523,x92523),a921),f2(a924)),x92524))) % 186.59/186.35 [9335]E(f862(f276(x93351,x93351,x93352),f862(f862(f301(x93351),f525(x93352,x93353,x93354,x93351)),f181(f932(x93351,a921)))),x93354)+~P1(f862(f862(f321(f932(x93351,a921)),x93354),f862(f862(f53(x93351),x93353),x93352))) % 186.59/186.35 [9340]~P1(f862(f862(f321(f931(x93401,x93401)),f862(f862(f244(x93401,x93401),x93403),x93402)),f299(x93401,x93404)))+P1(f862(f862(f321(f931(x93401,x93401)),f862(f862(f244(x93401,x93401),x93402),x93403)),f299(x93401,f862(f277(x93401,x93401),x93404)))) % 186.59/186.35 [9353]~P61(x93531)+E(f862(f862(f73(x93531),f862(f862(f73(x93531),f862(f862(f74(x93531),x93532),f862(f862(f29(x93531),x93533),x93532))),f38(x93531,x93533,x93532))),x93534),f862(f862(f73(x93531),x93533),x93534)) % 186.59/186.35 [9364]~P1(f862(f862(f321(x93641),x93643),x93644))+P1(f862(f862(f321(f932(x93641,a921)),f862(f276(x93641,x93641,x93642),f862(f862(f301(x93641),x93643),f181(f932(x93641,a921))))),f862(f862(f53(x93641),x93644),x93642))) % 186.59/186.35 [9376]P1(f862(f862(f321(f931(x93761,x93761)),f862(f862(f244(x93761,x93761),x93762),x93763)),f299(x93761,x93764)))+~P1(f862(f862(f321(f931(x93761,x93761)),f862(f862(f244(x93761,x93761),x93763),x93762)),f299(x93761,f862(f277(x93761,x93761),x93764)))) % 186.59/186.35 [9462]E(f862(f862(f152(x94621,f862(f161(x94621),x94622)),f862(f862(f3(a924),f862(f862(f3(a924),f862(f182(f925(x94621)),x94622)),x94623)),f71(a924))),x94624),f862(f161(x94621),f862(f862(f152(x94621,x94622),x94623),x94624)))+~P1(f862(f862(f228(a924),x94623),f862(f182(f925(x94621)),x94622))) % 186.59/186.35 [9465]~P1(f862(x94652,f741(x94654,x94652,x94653,x94651)))+E(f862(f862(f131(x94651),f862(f182(f925(x94651)),f170(x94651,x94652,f862(f862(f127(x94651),x94653),x94654)))),f862(f862(f127(x94651),x94653),x94654)),f862(f862(f131(x94651),f862(f182(f925(x94651)),f170(x94651,x94652,x94654))),x94654)) % 186.59/186.35 [9511]~P22(x95112,x95111,x95113,f234(f932(x95112,a921)))+P1(f862(f862(f227(f932(x95111,a921)),f862(f302(x95112,x95111,x95113),f862(f72(f932(x95112,a921)),x95114))),f862(f72(f932(x95111,a921)),f862(f302(x95112,x95111,x95113),x95114)))) % 186.59/186.35 [9523]~P3(x95231)+E(f862(f135(x95231,x95232,f862(f9(x95232,x95231,x95231),f862(f862(f10(x95231,f932(x95231,x95231),x95232),f94(x95231)),x95233)),f234(x95231)),x95234),f862(f862(f32(x95232,x95231),f862(f165(x95232),x95234)),x95233)) % 186.59/186.35 [9524]~P3(x95241)+E(f862(f135(x95241,x95242,f862(f9(x95242,x95241,x95241),f862(f862(f10(x95241,f932(x95241,x95241),x95242),f103(x95241)),x95243)),f181(x95241)),x95244),f862(f862(f33(x95242,x95241),f862(f165(x95242),x95244)),x95243)) % 186.59/186.35 [9534]E(f862(f862(f131(x95341),f862(f182(f925(x95341)),f170(x95341,x95342,f862(f862(f127(x95341),x95343),x95344)))),f862(f862(f127(x95341),x95343),x95344)),f862(f862(f131(x95341),f862(f182(f925(x95341)),f170(x95341,x95342,x95344))),x95344))+P1(f862(f862(f321(x95341),f741(x95344,x95342,x95343,x95341)),f862(f165(x95341),x95343))) % 186.59/186.35 [9607]~P1(f862(f862(f321(f931(f925(x96074),f925(x96074))),f862(f862(f244(f925(x96074),f925(x96074)),x96073),x96072)),f150(x96074,x96071)))+P1(f862(f862(f228(a924),f675(x96071,x96072,x96073,x96074)),f862(f182(f925(x96074)),x96073))) % 186.59/186.35 [9608]~P61(x96081)+E(f862(f862(f73(x96081),f862(f862(f73(x96081),f862(f862(f74(x96081),f862(f862(f29(x96081),x96082),x96083)),x96083)),f38(x96081,x96082,x96083))),x96084),f862(f862(f73(x96081),x96082),x96084)) % 186.59/186.35 [9637]~P1(f862(f862(f321(f931(f925(x96371),f925(x96371))),f862(f862(f244(f925(x96371),f925(x96371)),x96372),x96373)),f862(f277(f925(x96371),f925(x96371)),f150(x96371,x96374))))+P1(f862(f862(f321(f931(f925(x96371),f925(x96371))),f862(f862(f244(f925(x96371),f925(x96371)),x96372),x96373)),f150(x96371,f862(f277(x96371,x96371),x96374)))) % 186.59/186.35 [9638]P1(f862(f862(f321(f931(f925(x96381),f925(x96381))),f862(f862(f244(f925(x96381),f925(x96381)),x96382),x96383)),f862(f277(f925(x96381),f925(x96381)),f150(x96381,x96384))))+~P1(f862(f862(f321(f931(f925(x96381),f925(x96381))),f862(f862(f244(f925(x96381),f925(x96381)),x96382),x96383)),f150(x96381,f862(f277(x96381,x96381),x96384)))) % 186.59/186.35 [9680]~P1(f862(f862(f321(x96801),x96803),f862(f256(x96801,x96802),x96804)))+P1(f862(f862(f321(f931(x96801,x96802)),f862(f862(f244(x96801,x96802),x96803),f565(x96804,x96802,x96803,x96801))),x96804)) % 186.59/186.35 [9681]~P1(f862(f862(f321(x96811),x96813),f862(f256(x96811,x96812),x96814)))+P1(f862(f862(f321(f931(x96811,x96812)),f862(f862(f244(x96811,x96812),x96813),f566(x96814,x96812,x96813,x96811))),x96814)) % 186.59/186.35 [9841]~P1(f862(f862(f321(f931(x98411,x98411)),f862(f862(f244(x98411,x98411),x98412),x98414)),f862(f862(f280(x98411,x98411,x98411),x98413),f299(x98411,x98413))))+P1(f862(f862(f321(f931(x98411,x98411)),f862(f862(f244(x98411,x98411),x98412),f637(x98413,x98414,x98412,x98411))),x98413)) % 186.59/186.35 [10001]P9(x100011,x100012,x100013,x100014)+P1(f862(f862(f321(f931(x100011,x100011)),f862(f862(f244(x100011,x100011),f835(x100012,x100014,x100013,x100011)),f834(x100012,x100014,x100013,x100011))),x100013)) % 186.59/186.35 [10009]~P1(f862(f862(f321(f931(x100092,x100091)),x100094),f862(f277(x100091,x100092),x100093)))+P1(f862(f862(f321(f931(x100091,x100092)),f862(f862(f244(x100091,x100092),f648(x100093,x100094,x100091,x100092)),f647(x100093,x100094,x100091,x100092))),x100093)) % 186.59/186.35 [10033]~P1(f862(f862(f321(f931(f925(x100331),f925(x100331))),f862(f862(f244(f925(x100331),f925(x100331)),x100334),x100333)),f150(x100331,x100332)))+P1(f862(f862(f321(f931(x100331,x100331)),f862(f862(f244(x100331,x100331),f691(x100332,x100333,x100334,x100331)),f692(x100332,x100333,x100334,x100331))),x100332)) % 186.59/186.35 [10126]~P1(f862(f862(f321(f931(f925(x101261),f925(x101261))),f862(f862(f244(f925(x101261),f925(x101261)),x101262),x101264)),f150(x101261,x101263)))+P1(f862(f862(f321(f931(x101261,x101261)),f862(f862(f244(x101261,x101261),f862(f862(f157(x101261),x101262),f675(x101263,x101264,x101262,x101261))),f676(x101263,x101264,x101262,x101261))),x101263)) % 186.59/186.35 [10146]~P1(f862(f54(x101462),x101464))+E(f862(f862(f862(f58(f932(x101461,a921),x101462,f103(f932(x101461,a921))),f862(f862(f9(x101462,f932(x101461,a921),f932(x101461,a921)),f862(f862(f10(x101461,f932(f932(x101461,a921),f932(x101461,a921)),x101462),f301(x101461)),x101463)),f181(f932(x101461,a921)))),f181(f932(x101461,a921))),x101464),f862(f302(x101462,x101461,x101463),x101464)) % 186.59/186.35 [10258]~P22(x102581,x102582,x102583,f234(f932(x102581,a921)))+P1(f862(f862(f227(f932(x102581,a921)),f862(f303(x102581,x102582,x102583),f862(f862(f301(x102582),x102584),f181(f932(x102582,a921))))),f862(f862(f301(x102581),f78(x102581,f862(f862(f9(x102581,x102582,a921),f862(f862(f10(x102582,f932(x102582,a921),x102581),a317),x102583)),x102584))),f181(f932(x102581,a921))))) % 186.59/186.35 [5803]~E(f862(f862(f127(x58031),x58032),x58034),x58033)+E(f862(f862(f168(x58031),f862(f182(f925(x58031)),x58032)),x58033),x58032) % 186.59/186.35 [5804]~E(f862(f862(f127(x58042),x58043),x58041),x58044)+E(x58041,f862(f862(f131(x58042),f862(f182(f925(x58042)),x58043)),x58044)) % 186.59/186.35 [5815]~E(x58154,f2(a924))+E(f862(f862(f157(x58151),f862(f862(f144(x58151),x58152),x58153)),x58154),x58152) % 186.59/186.35 [6360]~P119(x63601)+E(f862(f862(f236(x63601),f862(f862(f236(x63601),x63602),x63603)),x63604),f862(f862(f236(x63601),x63602),f862(f862(f74(a924),x63603),x63604))) % 186.59/186.35 [6361]~P80(x63611)+E(f862(f862(f236(x63611),f862(f862(f236(x63611),x63612),x63613)),x63614),f862(f862(f236(x63611),x63612),f862(f862(f74(a924),x63613),x63614))) % 186.59/186.35 [6370]E(x63701,f2(a924))+E(f862(f862(f157(x63702),f862(f862(f144(x63702),x63703),x63704)),x63701),f862(f862(f157(x63702),x63704),f862(f862(f3(a924),x63701),f71(a924)))) % 186.59/186.35 [6397]~P121(x63971)+E(f862(f862(f282(x63971),f862(f862(f74(x63971),x63972),x63973)),x63974),f862(f862(f74(x63971),x63972),f862(f862(f282(x63971),x63973),x63974))) % 186.59/186.35 [6399]~P93(x63991)+E(f862(f862(f103(x63991),f862(f862(f103(x63991),x63992),x63993)),x63994),f862(f862(f103(x63991),x63992),f862(f862(f103(x63991),x63993),x63994))) % 186.59/186.35 [6401]~P103(x64011)+E(f862(f862(f103(x64011),f862(f862(f103(x64011),x64012),x64013)),x64014),f862(f862(f103(x64011),x64012),f862(f862(f103(x64011),x64013),x64014))) % 186.59/186.35 [6402]~P93(x64021)+E(f862(f862(f94(x64021),f862(f862(f94(x64021),x64022),x64023)),x64024),f862(f862(f94(x64021),x64022),f862(f862(f94(x64021),x64023),x64024))) % 186.59/186.35 [6404]~P104(x64041)+E(f862(f862(f94(x64041),f862(f862(f94(x64041),x64042),x64043)),x64044),f862(f862(f94(x64041),x64042),f862(f862(f94(x64041),x64043),x64044))) % 186.59/186.35 [6405]~P69(x64051)+E(f862(f862(f74(x64051),f862(f862(f74(x64051),x64052),x64053)),x64054),f862(f862(f74(x64051),x64052),f862(f862(f74(x64051),x64053),x64054))) % 186.59/186.35 [6406]~P119(x64061)+E(f862(f862(f74(x64061),f862(f862(f74(x64061),x64062),x64063)),x64064),f862(f862(f74(x64061),x64062),f862(f862(f74(x64061),x64063),x64064))) % 186.59/186.35 [6408]~P70(x64081)+E(f862(f862(f73(x64081),f862(f862(f73(x64081),x64082),x64083)),x64084),f862(f862(f73(x64081),x64082),f862(f862(f73(x64081),x64083),x64084))) % 186.59/186.35 [6409]~P119(x64091)+E(f862(f862(f73(x64091),f862(f862(f73(x64091),x64092),x64093)),x64094),f862(f862(f73(x64091),x64092),f862(f862(f73(x64091),x64093),x64094))) % 186.59/186.35 [6411]~P109(x64111)+E(f862(f862(f225(x64111),f862(f862(f225(x64111),x64112),x64113)),x64114),f862(f862(f225(x64111),x64112),f862(f862(f225(x64111),x64113),x64114))) % 186.59/186.35 [6413]~P109(x64131)+E(f862(f862(f226(x64131),f862(f862(f226(x64131),x64132),x64133)),x64134),f862(f862(f226(x64131),x64132),f862(f862(f226(x64131),x64133),x64134))) % 186.59/186.35 [6422]~P61(x64221)+E(f38(x64221,f862(f862(f73(x64221),x64222),f862(f862(f74(x64221),x64223),x64224)),x64224),f38(x64221,x64222,x64224)) % 186.59/186.35 [6423]~P61(x64231)+E(f38(x64231,f862(f862(f73(x64231),x64232),f862(f862(f74(x64231),x64233),x64234)),x64233),f38(x64231,x64232,x64233)) % 186.59/186.35 [6564]E(f862(f862(f157(x65641),f862(f862(f168(x65641),x65642),x65643)),x65644),f862(f862(f157(x65641),x65643),x65644))+~P1(f862(f862(f228(a924),x65644),x65642)) % 186.59/186.35 [6743]~E(x67432,x67434)+P1(f862(f862(f165(x67431),f862(f862(f144(x67431),x67432),x67433)),x67434)) % 186.59/186.35 [6745]~P119(x67451)+E(f862(f862(f74(x67451),f862(f862(f74(x67451),x67452),x67453)),x67454),f862(f862(f74(x67451),f862(f862(f74(x67451),x67452),x67454)),x67453)) % 186.59/186.35 [6746]~P119(x67461)+E(f862(f862(f73(x67461),f862(f862(f73(x67461),x67462),x67463)),x67464),f862(f862(f73(x67461),f862(f862(f73(x67461),x67462),x67464)),x67463)) % 186.59/186.35 [6807]~P147(x68072)+E(f862(f862(f8(x68071,x68072),f862(f18(x68072,x68071),x68073)),x68074),f862(f862(f74(x68072),f862(f93(x68072),f862(f28(x68071),x68074))),x68073)) % 186.59/186.35 [6981]E(f862(f862(f94(f932(x69811,a921)),f862(f862(f301(x69811),x69812),x69813)),x69814),f862(f862(f94(f932(x69811,a921)),x69813),x69814))+P1(f862(f862(f321(x69811),x69812),x69814)) % 186.59/186.35 [7050]~P102(x70501)+E(f862(f862(f94(x70501),f862(f862(f103(x70501),x70502),x70503)),f862(f862(f103(x70501),x70504),x70503)),f862(f862(f103(x70501),f862(f862(f94(x70501),x70502),x70504)),x70503)) % 186.59/186.35 [7051]~P102(x70511)+E(f862(f862(f103(x70511),f862(f862(f94(x70511),x70512),x70513)),f862(f862(f94(x70511),x70514),x70513)),f862(f862(f94(x70511),f862(f862(f103(x70511),x70512),x70514)),x70513)) % 186.59/186.35 [7052]~P78(x70521)+E(f862(f862(f225(x70521),f862(f862(f3(x70521),x70522),x70523)),f862(f862(f3(x70521),x70524),x70523)),f862(f862(f3(x70521),f862(f862(f225(x70521),x70522),x70524)),x70523)) % 186.59/186.35 [7053]~P78(x70531)+E(f862(f862(f226(x70531),f862(f862(f3(x70531),x70532),x70533)),f862(f862(f3(x70531),x70534),x70533)),f862(f862(f3(x70531),f862(f862(f226(x70531),x70532),x70534)),x70533)) % 186.59/186.35 [7054]~P114(x70541)+E(f862(f862(f73(x70541),f862(f862(f74(x70541),x70542),x70543)),f862(f862(f74(x70541),x70544),x70543)),f862(f862(f74(x70541),f862(f862(f73(x70541),x70542),x70544)),x70543)) % 186.59/186.35 [7056]~P84(x70561)+E(f862(f862(f225(x70561),f862(f862(f73(x70561),x70562),x70563)),f862(f862(f73(x70561),x70564),x70563)),f862(f862(f73(x70561),f862(f862(f225(x70561),x70562),x70564)),x70563)) % 186.59/186.35 [7057]~P84(x70571)+E(f862(f862(f226(x70571),f862(f862(f73(x70571),x70572),x70573)),f862(f862(f73(x70571),x70574),x70573)),f862(f862(f73(x70571),f862(f862(f226(x70571),x70572),x70574)),x70573)) % 186.59/186.35 [7058]~P121(x70581)+E(f862(f862(f3(x70581),f862(f862(f282(x70581),x70582),x70583)),f862(f862(f282(x70581),x70584),x70583)),f862(f862(f282(x70581),f862(f862(f3(x70581),x70582),x70584)),x70583)) % 186.59/186.35 [7059]~P121(x70591)+E(f862(f862(f73(x70591),f862(f862(f282(x70591),x70592),x70593)),f862(f862(f282(x70591),x70594),x70593)),f862(f862(f282(x70591),f862(f862(f73(x70591),x70592),x70594)),x70593)) % 186.59/186.35 [7060]~P71(x70601)+E(f862(f862(f74(x70601),f862(f862(f236(x70601),x70602),x70603)),f862(f862(f236(x70601),x70604),x70603)),f862(f862(f236(x70601),f862(f862(f74(x70601),x70602),x70604)),x70603)) % 186.59/186.35 [7061]~P119(x70611)+E(f862(f862(f74(x70611),f862(f862(f236(x70611),x70612),x70613)),f862(f862(f236(x70611),x70614),x70613)),f862(f862(f236(x70611),f862(f862(f74(x70611),x70612),x70614)),x70613)) % 186.59/186.35 [7062]~P64(x70621)+E(f862(f862(f282(x70621),f862(f862(f236(x70621),x70622),x70623)),f862(f862(f236(x70621),x70624),x70623)),f862(f862(f236(x70621),f862(f862(f282(x70621),x70622),x70624)),x70623)) % 186.59/186.35 [7063]~P109(x70631)+E(f862(f862(f226(x70631),f862(f862(f225(x70631),x70632),x70633)),f862(f862(f225(x70631),x70634),x70633)),f862(f862(f225(x70631),f862(f862(f226(x70631),x70632),x70634)),x70633)) % 186.59/186.35 [7064]~P109(x70641)+E(f862(f862(f225(x70641),f862(f862(f226(x70641),x70642),x70643)),f862(f862(f226(x70641),x70644),x70643)),f862(f862(f226(x70641),f862(f862(f225(x70641),x70642),x70644)),x70643)) % 186.59/186.35 [7065]~P119(x70651)+E(f862(f862(f73(x70651),f862(f862(f74(x70651),x70652),x70653)),f862(f862(f74(x70651),x70654),x70653)),f862(f862(f74(x70651),f862(f862(f73(x70651),x70652),x70654)),x70653)) % 186.59/186.35 [7097]E(f862(f862(f152(x70971,x70972),x70973),x70974),x70972)+~P1(f862(f862(f227(a924),f862(f182(f925(x70971)),x70972)),x70973)) % 186.59/186.35 [7124]~P1(f862(x71243,x71244))+P1(f862(f862(f862(f103(f932(x71241,a921)),x71242),x71243),x71244)) % 186.59/186.35 [7126]~P1(f862(x71262,x71264))+P1(f862(f862(f862(f103(f932(x71261,a921)),x71262),x71263),x71264)) % 186.59/186.35 [7146]E(f862(f862(f157(x71461),f862(f862(f127(x71461),x71462),x71463)),x71464),f862(f862(f157(x71461),x71462),x71464))+~P1(f862(f862(f228(a924),x71464),f862(f182(f925(x71461)),x71462))) % 186.59/186.35 [7157]E(f862(f862(f3(f932(x71571,a921)),f862(f862(f301(x71571),x71572),x71573)),x71574),f862(f862(f3(f932(x71571,a921)),x71573),x71574))+~P1(f862(f862(f321(x71571),x71572),x71574)) % 186.59/186.35 [7197]~E(f132(a924,f862(f295(a924,x71971),x71972)),f862(f862(f144(a924),x71974),x71973))+E(f132(a924,f862(f295(a924,f862(f862(f73(a924),x71971),f71(a924))),x71972)),x71973) % 186.59/186.35 [7218]~P1(f862(f862(f165(x72181),x72183),x72184))+P1(f862(f862(f165(x72181),f862(f862(f144(x72181),x72182),x72183)),x72184)) % 186.59/186.35 [7268]E(x72681,f2(a924))+E(f862(f862(f144(x72682),x72683),f862(f862(f168(x72682),f862(f862(f3(a924),x72681),f71(a924))),x72684)),f862(f862(f168(x72682),x72681),f862(f862(f144(x72682),x72683),x72684))) % 186.59/186.35 [7371]E(f862(f862(f157(x73711),x73712),f862(f862(f3(a924),x73713),f862(f182(f925(x73711)),x73714))),f862(f862(f157(x73711),f862(f862(f127(x73711),x73714),x73712)),x73713))+P1(f862(f862(f228(a924),x73713),f862(f182(f925(x73711)),x73714))) % 186.59/186.35 [7400]E(f862(f862(f94(f932(x74001,a921)),x74002),f862(f862(f301(x74001),x74003),x74004)),f862(f862(f301(x74001),x74003),f862(f862(f94(f932(x74001,a921)),x74002),x74004)))+~P1(f862(f862(f321(x74001),x74003),x74002)) % 186.59/186.35 [7439]E(f862(f862(f157(x74391),f862(f862(f152(x74391,x74392),x74393),x74394)),x74393),x74394)+~P1(f862(f862(f228(a924),x74393),f862(f182(f925(x74391)),x74392))) % 186.59/186.35 [7462]E(x74621,f181(f932(x74622,a921)))+E(f862(f302(f931(x74623,x74622),x74623,f243(x74623,x74622)),f862(f862(f246(x74623,x74622),x74624),f862(f18(f932(x74622,a921),x74623),x74621))),x74624) % 186.59/186.35 [7463]E(x74631,f181(f932(x74632,a921)))+E(f862(f302(f931(x74632,x74633),x74633,f248(x74632,x74633)),f862(f862(f246(x74632,x74633),x74631),f862(f18(f932(x74633,a921),x74632),x74634))),x74634) % 186.59/186.35 [7536]E(f862(f862(f3(f932(x75361,a921)),f862(f862(f301(x75361),x75362),x75363)),x75364),f862(f862(f301(x75361),x75362),f862(f862(f3(f932(x75361,a921)),x75363),x75364)))+P1(f862(f862(f321(x75361),x75362),x75364)) % 186.59/186.35 [7572]~E(x75724,f181(f932(x75722,a921)))+E(f862(f302(f931(x75721,x75722),x75721,f243(x75721,x75722)),f862(f862(f246(x75721,x75722),x75723),f862(f18(f932(x75722,a921),x75721),x75724))),f181(f932(x75721,a921))) % 186.59/186.35 [7573]~E(x75733,f181(f932(x75731,a921)))+E(f862(f302(f931(x75731,x75732),x75732,f248(x75731,x75732)),f862(f862(f246(x75731,x75732),x75733),f862(f18(f932(x75732,a921),x75731),x75734))),f181(f932(x75732,a921))) % 186.59/186.35 [7624]~P1(f862(f862(f321(x76241),x76242),x76244))+P1(f862(f862(f321(x76241),x76242),f862(f862(f103(f932(x76241,a921)),x76243),x76244))) % 186.59/186.35 [7627]~P1(f862(f862(f321(x76271),x76272),x76273))+P1(f862(f862(f321(x76271),x76272),f862(f862(f103(f932(x76271,a921)),x76273),x76274))) % 186.59/186.35 [7645]E(f862(f862(f94(f932(x76451,a921)),f862(f862(f301(x76451),x76452),x76453)),x76454),f862(f862(f301(x76451),x76452),f862(f862(f94(f932(x76451,a921)),x76453),x76454)))+~P1(f862(f862(f321(x76451),x76452),x76454)) % 186.59/186.35 [7920]P1(f862(x79201,x79202))+~P1(f862(f862(f862(f94(f932(x79203,a921)),x79204),x79201),x79202)) % 186.59/186.35 [7921]P1(f862(x79211,x79212))+~P1(f862(f862(f862(f94(f932(x79213,a921)),x79211),x79214),x79212)) % 186.59/186.35 [7922]E(f862(f862(f8(x79221,a924),x79222),f862(f862(f3(f932(x79221,a921)),x79223),f862(f862(f301(x79221),x79224),f181(f932(x79221,a921))))),f862(f862(f8(x79221,a924),x79222),x79223))+P1(f862(f862(f321(x79221),x79224),x79223)) % 186.59/186.35 [7927]~P72(x79271)+E(f862(f158(x79271),f862(f862(f147(a924,x79271),x79272),f132(a924,f862(f295(a924,x79273),x79274)))),f862(f862(f8(a924,x79271),x79272),f862(f165(a924),f132(a924,f862(f295(a924,x79273),x79274))))) % 186.59/186.35 [7928]~P72(x79281)+E(f862(f862(f8(a924,x79281),x79282),f862(f165(a924),f132(a924,f862(f295(a924,x79283),x79284)))),f862(f158(x79281),f862(f862(f147(a924,x79281),x79282),f132(a924,f862(f295(a924,x79283),x79284))))) % 186.59/186.35 [8041]~E(x80413,x80414)+P1(f862(f55(x80411,x80412,f862(f862(f301(x80411),x80413),f181(f932(x80411,a921)))),x80414)) % 186.59/186.35 [8139]P1(f862(f862(f321(x81391),x81392),f862(f165(x81391),x81393)))+~P1(f862(f862(f321(x81391),x81392),f862(f165(x81391),f862(f862(f168(x81391),x81394),x81393)))) % 186.59/186.35 [8140]P1(f862(f862(f321(x81401),x81402),f862(f165(x81401),x81403)))+~P1(f862(f862(f321(x81401),x81402),f862(f165(x81401),f862(f862(f131(x81401),x81404),x81403)))) % 186.59/186.35 [8212]P1(f862(f862(f321(x82121),x82122),x82123))+~P1(f862(f862(f321(x82121),x82122),f862(f862(f94(f932(x82121,a921)),x82124),x82123))) % 186.59/186.35 [8215]P1(f862(f862(f321(x82151),x82152),x82153))+~P1(f862(f862(f321(x82151),x82152),f862(f862(f94(f932(x82151,a921)),x82153),x82154))) % 186.59/186.35 [8218]P1(f862(f862(f321(x82181),x82182),x82183))+~P1(f862(f862(f321(x82181),x82182),f862(f862(f3(f932(x82181,a921)),x82183),x82184))) % 186.59/186.35 [8233]E(f862(f862(f127(x82331),f862(f862(f168(x82331),x82332),x82333)),f862(f862(f144(x82331),x82334),f862(f862(f131(x82331),f862(a105,x82332)),x82333))),f862(f862(f152(x82331,x82333),x82332),x82334))+~P1(f862(f862(f228(a924),x82332),f862(f182(f925(x82331)),x82333))) % 186.59/186.35 [8256]P1(f862(f862(f321(x82561),x82562),x82563))+~P1(f862(f862(f227(f932(x82561,a921)),f862(f862(f301(x82561),x82562),x82564)),x82563)) % 186.59/186.35 [8294]~P1(f862(f862(f321(x82941),x82942),x82943))+~P1(f862(f862(f321(x82941),x82942),f862(f862(f3(f932(x82941,a921)),x82944),x82943))) % 186.59/186.35 [8327]~P1(f862(f862(f228(a924),x83274),f862(f182(f925(x83271)),x83273)))+P1(f862(f862(f321(x83271),x83272),f862(f165(x83271),f862(f862(f152(x83271,x83273),x83274),x83272)))) % 186.59/186.35 [8381]E(f862(f862(f157(x83811),f862(f862(f131(x83811),x83812),x83813)),x83814),f862(f862(f157(x83811),x83813),f862(f862(f73(a924),x83812),x83814)))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x83812),x83814)),f862(f182(f925(x83811)),x83813))) % 186.59/186.35 [8390]~P147(x83902)+E(f862(f862(f8(x83901,x83902),f862(f862(f10(a924,x83902,x83901),f93(x83902)),x83903)),x83904),f862(f93(x83902),f862(f862(f8(x83901,a924),x83903),x83904))) % 186.59/186.35 [8391]~P142(x83912)+E(f862(f862(f8(x83911,x83912),f862(f862(f10(a1,x83912,x83911),f95(x83912)),x83913)),x83914),f862(f95(x83912),f862(f862(f8(x83911,a1),x83913),x83914))) % 186.59/186.35 [8441]~P67(x84412)+E(f862(f862(f11(x84411,x84412),f862(f862(f10(x84412,x84412,x84411),f69(x84412)),x84413)),x84414),f862(f69(x84412),f862(f862(f11(x84411,x84412),x84413),x84414))) % 186.59/186.35 [8442]~P59(x84422)+E(f862(f862(f8(x84421,x84422),f862(f862(f10(x84422,x84422,x84421),f72(x84422)),x84423)),x84424),f862(f72(x84422),f862(f862(f8(x84421,x84422),x84423),x84424))) % 186.59/186.35 [8444]E(f862(f862(f8(x84441,a924),x84442),f862(f862(f3(f932(x84441,a921)),x84443),f862(f862(f301(x84441),x84444),f181(f932(x84441,a921))))),f862(f862(f3(a924),f862(f862(f8(x84441,a924),x84442),x84443)),f862(x84442,x84444)))+~P1(f862(f862(f321(x84441),x84444),x84443)) % 186.59/186.35 [8463]P1(f862(f862(f227(f932(x84631,a921)),x84632),x84633))+~P1(f862(f862(f227(f932(x84631,a921)),f862(f862(f301(x84631),x84634),x84632)),x84633)) % 186.59/186.35 [8586]~E(f862(f302(x85862,x85863,x85861),f234(f932(x85862,a921))),f234(f932(x85863,a921)))+E(f862(x85861,f862(f86(x85862,x85863,f234(f932(x85862,a921)),x85861),x85864)),x85864) % 186.59/186.35 [8670]P35(x86701,x86702)+~P35(x86701,f862(f862(f301(f931(x86701,x86701)),f862(f862(f244(x86701,x86701),x86703),x86704)),x86702)) % 186.59/186.35 [8671]P55(x86711,x86712)+~P55(x86711,f862(f862(f301(f931(x86711,x86711)),f862(f862(f244(x86711,x86711),x86713),x86714)),x86712)) % 186.59/186.35 [8676]~P109(x86761)+E(f862(f862(f141(x86761,x86761,f7(x86761)),x86762),f862(f862(f141(x86761,x86761,f7(x86761)),x86763),x86764)),f862(f862(f141(x86761,x86761,f7(x86761)),x86763),f862(f862(f141(x86761,x86761,f7(x86761)),x86762),x86764))) % 186.59/186.35 [8691]E(x86911,x86912)+~P1(f862(f55(x86913,x86914,f862(f862(f301(x86913),x86911),f181(f932(x86913,a921)))),x86912)) % 186.59/186.35 [8701]E(f862(f862(f127(x87011),f862(f862(f168(x87011),x87012),x87013)),f862(f862(f168(x87011),x87014),f862(f862(f131(x87011),x87012),x87013))),f862(f862(f168(x87011),f862(f862(f73(a924),x87012),x87014)),x87013))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x87012),x87014)),f862(f182(f925(x87011)),x87013))) % 186.59/186.35 [8741]P1(f862(f54(x87411),x87412))+~E(x87412,f862(f302(a924,x87411,x87413),f862(f254(a924),f862(f862(f9(a924,a924,a921),f228(a924)),x87414)))) % 186.59/186.35 [8762]~P89(x87621)+E(f862(f135(x87621,x87621,f73(x87621),f862(f862(f73(x87621),x87622),x87623)),x87624),f862(f862(f73(x87621),x87622),f862(f135(x87621,x87621,f73(x87621),x87623),x87624))) % 186.59/186.35 [8798]P1(f862(f862(f227(f932(x87981,a921)),f862(f256(x87981,x87982),x87983)),f862(f256(x87981,x87982),x87984)))+~P1(f862(f862(f227(f932(f931(x87981,x87982),a921)),x87983),x87984)) % 186.59/186.35 [8810]~P1(f862(f862(f227(a924),x88102),x88104))+P1(f862(f862(f227(f932(x88101,a921)),f862(f165(x88101),f862(f862(f168(x88101),x88102),x88103))),f862(f165(x88101),f862(f862(f168(x88101),x88104),x88103)))) % 186.59/186.35 [8811]~P1(f862(f862(f227(a924),x88114),x88112))+P1(f862(f862(f227(f932(x88111,a921)),f862(f165(x88111),f862(f862(f131(x88111),x88112),x88113))),f862(f165(x88111),f862(f862(f131(x88111),x88114),x88113)))) % 186.59/186.35 [8868]~P1(f862(f54(x88681),f862(f862(f3(f932(x88681,a921)),x88682),x88684)))+P1(f862(f54(x88681),f862(f862(f3(f932(x88681,a921)),x88682),f862(f862(f301(x88681),x88683),x88684)))) % 186.59/186.35 [8911]P1(f862(f862(f321(f931(x89111,x89111)),x89112),f299(x89111,x89113)))+~P1(f862(f862(f321(f931(x89111,x89111)),x89112),f862(f862(f176(f931(x89111,x89111),a921),x89114),x89113))) % 186.59/186.35 [8997]~P1(f862(f54(x89971),f862(f862(f3(f932(x89971,a921)),x89972),f862(f862(f301(x89971),x89974),x89973))))+P1(f862(f54(x89971),f862(f862(f3(f932(x89971,a921)),x89972),x89973))) % 186.59/186.35 [9210]~P93(x92101)+P1(f862(f862(f227(x92101),f862(f862(f103(x92101),x92102),f862(f862(f94(x92101),x92103),x92104))),f862(f862(f94(x92101),f862(f862(f103(x92101),x92102),x92103)),f862(f862(f103(x92101),x92102),x92104)))) % 186.59/186.35 [9211]~P109(x92111)+P1(f862(f862(f227(x92111),f862(f862(f226(x92111),x92112),f862(f862(f225(x92111),x92113),x92114))),f862(f862(f225(x92111),f862(f862(f226(x92111),x92112),x92113)),f862(f862(f226(x92111),x92112),x92114)))) % 186.59/186.35 [9360]E(x93601,x93602)+~P1(f862(f862(f321(f931(x93603,x93603)),f862(f862(f244(x93603,x93603),x93601),x93602)),f862(f165(f931(x93603,x93603)),f862(f862(f174(x93603,x93603),x93604),x93604)))) % 186.59/186.35 [9390]~P1(f862(f862(f321(f931(x93901,x93901)),f862(f862(f244(x93901,x93901),x93903),x93902)),f299(x93901,x93904)))+~P35(x93901,f862(f862(f301(f931(x93901,x93901)),f862(f862(f244(x93901,x93901),x93902),x93903)),x93904)) % 186.59/186.35 [9391]~P1(f862(f862(f321(f931(x93911,x93911)),f862(f862(f244(x93911,x93911),x93913),x93912)),f299(x93911,x93914)))+~P55(x93911,f862(f862(f301(f931(x93911,x93911)),f862(f862(f244(x93911,x93911),x93912),x93913)),x93914)) % 186.59/186.35 [9395]E(x93951,x93952)+E(f862(f129(x93953,f862(f862(f10(a921,a921,x93953),a314),f862(a317,x93951))),f862(f862(f144(x93953),x93952),x93954)),f862(f862(f144(x93953),x93952),f862(f129(x93953,f862(f862(f10(a921,a921,x93953),a314),f862(a317,x93951))),x93954))) % 186.59/186.35 [9426]~P23(x94262,x94261,x94263,f234(f932(x94262,a921)),f234(f932(x94261,a921)))+E(f862(f302(x94261,x94262,f86(x94262,x94261,f234(f932(x94262,a921)),x94263)),x94264),f862(f303(x94262,x94261,x94263),x94264)) % 186.59/186.35 [9441]~P93(x94411)+P1(f862(f862(f227(x94411),f862(f862(f103(x94411),f862(f862(f94(x94411),x94412),x94413)),f862(f862(f94(x94411),x94412),x94414))),f862(f862(f94(x94411),x94412),f862(f862(f103(x94411),x94413),x94414)))) % 186.59/186.35 [9442]~P109(x94421)+P1(f862(f862(f227(x94421),f862(f862(f226(x94421),f862(f862(f225(x94421),x94422),x94423)),f862(f862(f225(x94421),x94422),x94424))),f862(f862(f225(x94421),x94422),f862(f862(f226(x94421),x94423),x94424)))) % 186.59/186.35 [9505]~P23(x95052,x95051,x95054,f234(f932(x95052,a921)),f234(f932(x95051,a921)))+E(f862(f254(x95051),f862(f862(f10(x95052,a921,x95051),x95053),f86(x95052,x95051,f234(f932(x95052,a921)),x95054))),f862(f302(x95052,x95051,x95054),f862(f254(x95052),x95053))) % 186.59/186.35 [9519]~E(f862(f302(x95192,x95191,x95193),f234(f932(x95192,a921))),f234(f932(x95191,a921)))+P1(f862(f862(f227(f932(x95191,a921)),f862(f72(f932(x95191,a921)),f862(f302(x95192,x95191,x95193),x95194))),f862(f302(x95192,x95191,x95193),f862(f72(f932(x95192,a921)),x95194)))) % 186.59/186.35 [9854]P1(f862(f862(f321(f931(x98541,x98541)),f862(f862(f244(x98541,x98541),x98542),x98543)),f862(f277(x98541,x98541),f862(f862(f280(x98541,x98541,x98541),x98544),f299(x98541,x98544)))))+~P1(f862(f862(f321(f931(x98541,x98541)),f862(f862(f244(x98541,x98541),x98542),x98543)),f862(f862(f280(x98541,x98541,x98541),f862(f277(x98541,x98541),x98544)),f299(x98541,f862(f277(x98541,x98541),x98544))))) % 186.59/186.35 [9855]~P1(f862(f862(f321(f931(x98551,x98551)),f862(f862(f244(x98551,x98551),x98552),x98553)),f862(f277(x98551,x98551),f862(f862(f280(x98551,x98551,x98551),x98554),f299(x98551,x98554)))))+P1(f862(f862(f321(f931(x98551,x98551)),f862(f862(f244(x98551,x98551),x98552),x98553)),f862(f862(f280(x98551,x98551,x98551),f862(f277(x98551,x98551),x98554)),f299(x98551,f862(f277(x98551,x98551),x98554))))) % 186.59/186.35 [9876]~P1(f862(f862(f321(x98762),x98764),f862(f275(x98761,x98762),x98763)))+P1(f862(f862(f321(f931(x98761,x98762)),f862(f862(f244(x98761,x98762),f563(x98763,x98761,x98764,x98762)),x98764)),x98763)) % 186.59/186.35 [9877]~P1(f862(f862(f321(x98772),x98774),f862(f275(x98771,x98772),x98773)))+P1(f862(f862(f321(f931(x98771,x98772)),f862(f862(f244(x98771,x98772),f564(x98773,x98771,x98774,x98772)),x98774)),x98773)) % 186.59/186.35 [9903]~P1(f862(f862(f321(x99031),x99034),f862(f862(f103(f932(x99031,a921)),x99032),x99033)))+P1(f862(f862(f862(f103(f932(x99031,a921)),f862(f862(f9(x99031,f932(x99031,a921),a921),f321(x99031)),x99032)),f862(f862(f9(x99031,f932(x99031,a921),a921),f321(x99031)),x99033)),x99034)) % 186.59/186.35 [9904]~P1(f862(f862(f321(x99041),x99044),f862(f862(f94(f932(x99041,a921)),x99042),x99043)))+P1(f862(f862(f862(f94(f932(x99041,a921)),f862(f862(f9(x99041,f932(x99041,a921),a921),f321(x99041)),x99042)),f862(f862(f9(x99041,f932(x99041,a921),a921),f321(x99041)),x99043)),x99044)) % 186.59/186.35 [9985]~P1(f862(f862(f321(f931(x99851,x99851)),f862(f862(f244(x99851,x99851),x99854),x99853)),f862(f862(f280(x99851,x99851,x99851),x99852),f299(x99851,x99852))))+P1(f862(f862(f321(f931(x99851,x99851)),f862(f862(f244(x99851,x99851),f645(x99852,x99853,x99854,x99851)),x99853)),x99852)) % 186.59/186.35 [10021]P1(f862(f862(f321(x100211),x100212),f862(f862(f103(f932(x100211,a921)),x100213),x100214)))+~P1(f862(f862(f862(f103(f932(x100211,a921)),f862(f862(f9(x100211,f932(x100211,a921),a921),f321(x100211)),x100213)),f862(f862(f9(x100211,f932(x100211,a921),a921),f321(x100211)),x100214)),x100212)) % 186.59/186.35 [10022]P1(f862(f862(f321(x100221),x100222),f862(f862(f94(f932(x100221,a921)),x100223),x100224)))+~P1(f862(f862(f862(f94(f932(x100221,a921)),f862(f862(f9(x100221,f932(x100221,a921),a921),f321(x100221)),x100223)),f862(f862(f9(x100221,f932(x100221,a921),a921),f321(x100221)),x100224)),x100222)) % 186.59/186.35 [10310]P30(x103101,f862(f862(f9(x103101,f932(f931(x103101,x103101),a921),f932(x103101,a921)),f862(f862(f10(f932(x103101,f932(f932(f931(x103101,x103101),a921),a921)),f932(f932(f931(x103101,x103101),a921),f932(x103101,a921)),x103101),f9(x103101,f932(f931(x103101,x103101),a921),a921)),f862(f862(f10(f932(x103101,f931(x103101,x103101)),f932(x103101,f932(f932(f931(x103101,x103101),a921),a921)),x103101),f862(f10(f931(x103101,x103101),f932(f932(f931(x103101,x103101),a921),a921),x103101),f321(f931(x103101,x103101)))),f244(x103101,x103101)))),x103102),x103103,x103104)+~P1(f862(f862(f321(f931(f925(x103101),f925(x103101))),f862(f862(f244(f925(x103101),f925(x103101)),x103103),x103104)),f151(x103101,x103102))) % 186.59/186.35 [10314]P56(x103141,f862(f862(f9(x103141,f932(f931(x103141,x103141),a921),f932(x103141,a921)),f862(f862(f10(f932(x103141,f932(f932(f931(x103141,x103141),a921),a921)),f932(f932(f931(x103141,x103141),a921),f932(x103141,a921)),x103141),f9(x103141,f932(f931(x103141,x103141),a921),a921)),f862(f862(f10(f932(x103141,f931(x103141,x103141)),f932(x103141,f932(f932(f931(x103141,x103141),a921),a921)),x103141),f862(f10(f931(x103141,x103141),f932(f932(f931(x103141,x103141),a921),a921),x103141),f321(f931(x103141,x103141)))),f244(x103141,x103141)))),x103142),x103143,x103144)+~P1(f862(f862(f321(f931(f932(x103141,a921),f932(x103141,a921))),f862(f862(f244(f932(x103141,a921),f932(x103141,a921)),x103143),x103144)),f310(x103141,x103142))) % 186.59/186.35 [10347]E(x103471,x103472)+~E(f862(f862(f9(x103473,f932(f931(x103473,x103474),a921),f932(x103474,a921)),f862(f862(f10(f932(x103474,f932(f932(f931(x103473,x103474),a921),a921)),f932(f932(f931(x103473,x103474),a921),f932(x103474,a921)),x103473),f9(x103474,f932(f931(x103473,x103474),a921),a921)),f862(f862(f10(f932(x103474,f931(x103473,x103474)),f932(x103474,f932(f932(f931(x103473,x103474),a921),a921)),x103473),f862(f10(f931(x103473,x103474),f932(f932(f931(x103473,x103474),a921),a921),x103474),f321(f931(x103473,x103474)))),f244(x103473,x103474)))),x103471),f862(f862(f9(x103473,f932(f931(x103473,x103474),a921),f932(x103474,a921)),f862(f862(f10(f932(x103474,f932(f932(f931(x103473,x103474),a921),a921)),f932(f932(f931(x103473,x103474),a921),f932(x103474,a921)),x103473),f9(x103474,f932(f931(x103473,x103474),a921),a921)),f862(f862(f10(f932(x103474,f931(x103473,x103474)),f932(x103474,f932(f932(f931(x103473,x103474),a921),a921)),x103473),f862(f10(f931(x103473,x103474),f932(f932(f931(x103473,x103474),a921),a921),x103474),f321(f931(x103473,x103474)))),f244(x103473,x103474)))),x103472)) % 186.59/186.35 [10350]~P30(x103501,f862(f862(f9(x103501,f932(f931(x103501,x103501),a921),f932(x103501,a921)),f862(f862(f10(f932(x103501,f932(f932(f931(x103501,x103501),a921),a921)),f932(f932(f931(x103501,x103501),a921),f932(x103501,a921)),x103501),f9(x103501,f932(f931(x103501,x103501),a921),a921)),f862(f862(f10(f932(x103501,f931(x103501,x103501)),f932(x103501,f932(f932(f931(x103501,x103501),a921),a921)),x103501),f862(f10(f931(x103501,x103501),f932(f932(f931(x103501,x103501),a921),a921),x103501),f321(f931(x103501,x103501)))),f244(x103501,x103501)))),x103504),x103502,x103503)+P1(f862(f862(f321(f931(f925(x103501),f925(x103501))),f862(f862(f244(f925(x103501),f925(x103501)),x103502),x103503)),f151(x103501,x103504))) % 186.59/186.35 [10351]~P56(x103511,f862(f862(f9(x103511,f932(f931(x103511,x103511),a921),f932(x103511,a921)),f862(f862(f10(f932(x103511,f932(f932(f931(x103511,x103511),a921),a921)),f932(f932(f931(x103511,x103511),a921),f932(x103511,a921)),x103511),f9(x103511,f932(f931(x103511,x103511),a921),a921)),f862(f862(f10(f932(x103511,f931(x103511,x103511)),f932(x103511,f932(f932(f931(x103511,x103511),a921),a921)),x103511),f862(f10(f931(x103511,x103511),f932(f932(f931(x103511,x103511),a921),a921),x103511),f321(f931(x103511,x103511)))),f244(x103511,x103511)))),x103514),x103512,x103513)+P1(f862(f862(f321(f931(f932(x103511,a921),f932(x103511,a921))),f862(f862(f244(f932(x103511,a921),f932(x103511,a921)),x103512),x103513)),f310(x103511,x103514))) % 186.59/186.35 [7694]~P98(x76941)+E(f862(f862(f74(x76941),f862(f96(x76941),x76942)),f862(f862(f74(x76941),f862(f96(x76941),x76943)),x76944)),f862(f862(f74(x76941),f862(f96(x76941),f862(f862(f74(a1),x76942),x76943))),x76944)) % 186.59/186.35 [7695]~P98(x76951)+E(f862(f862(f73(x76951),f862(f96(x76951),x76952)),f862(f862(f3(x76951),f862(f96(x76951),x76953)),x76954)),f862(f862(f3(x76951),f862(f96(x76951),f862(f862(f73(a1),x76952),x76953))),x76954)) % 186.59/186.35 [7696]~P98(x76961)+E(f862(f862(f73(x76961),f862(f96(x76961),x76962)),f862(f862(f73(x76961),f862(f96(x76961),x76963)),x76964)),f862(f862(f73(x76961),f862(f96(x76961),f862(f862(f73(a1),x76962),x76963))),x76964)) % 186.59/186.35 [7736]~P147(x77361)+E(f862(f158(x77361),f862(f862(f147(x77362,x77361),f862(f18(x77361,x77362),x77363)),x77364)),f862(f862(f74(x77361),f862(f93(x77361),f862(f182(f925(x77362)),x77364))),x77363)) % 186.59/186.35 [7976]E(f862(f260(x79761,f862(f862(f144(f931(a92,x79761)),x79762),x79763)),x79764),f862(f248(a92,x79761),x79762))+~P1(f862(f862(f228(a92),x79764),f862(f243(a92,x79761),x79762))) % 186.59/186.35 [8017]~P98(x80171)+E(f862(f862(f73(x80171),f862(f96(x80171),x80172)),f862(f862(f3(x80171),x80173),f862(f96(x80171),x80174))),f862(f862(f73(x80171),f862(f96(x80171),f862(f862(f73(a1),x80172),f862(f72(a1),x80174)))),x80173)) % 186.59/186.35 [8153]E(f862(f260(x81531,x81532),f862(f862(f3(a92),x81533),f862(f243(a92,x81531),x81534))),f862(f260(x81531,f862(f862(f144(f931(a92,x81531)),x81534),x81532)),x81533))+P1(f862(f862(f228(a92),x81533),f862(f243(a92,x81531),x81534))) % 186.59/186.35 [8592]~P1(f862(f862(f321(x85921),x85922),f862(f165(x85921),f107(x85921,x85924))))+P1(f862(f862(f321(x85921),x85922),f862(f165(x85921),f107(x85921,f862(f862(f127(x85921),x85923),x85924))))) % 186.59/186.35 [8593]~P1(f862(f862(f321(x85931),x85932),f862(f165(x85931),f107(x85931,x85933))))+P1(f862(f862(f321(x85931),x85932),f862(f165(x85931),f107(x85931,f862(f862(f127(x85931),x85933),x85934))))) % 186.59/186.35 [8612]E(f862(f862(f103(f932(x86121,a921)),f862(f862(f94(f932(x86121,a921)),x86122),x86123)),x86124),f862(f862(f94(f932(x86121,a921)),x86122),f862(f862(f103(f932(x86121,a921)),x86123),x86124)))+~P1(f862(f862(f227(f932(x86121,a921)),x86124),x86122)) % 186.59/186.35 [8925]~E(f862(f862(f103(f932(x89251,a921)),f862(f862(f94(f932(x89251,a921)),x89253),x89254)),x89252),f862(f862(f94(f932(x89251,a921)),x89253),f862(f862(f103(f932(x89251,a921)),x89254),x89252)))+P1(f862(f862(f227(f932(x89251,a921)),x89252),x89253)) % 186.59/186.35 [9215]~P1(f862(f862(f227(f932(x92151,a921)),x92152),f862(f862(f103(f932(x92151,a921)),x92153),x92154)))+P1(f862(f862(f227(f932(x92151,a921)),f862(f862(f3(f932(x92151,a921)),x92152),x92153)),x92154)) % 186.59/186.35 [9332]~E(f862(f302(x93321,x93322,x93323),f234(f932(x93321,a921))),f234(f932(x93322,a921)))+E(f862(f302(x93321,x93322,x93323),f862(f302(x93322,x93321,f86(x93321,x93322,f234(f932(x93321,a921)),x93323)),x93324)),x93324) % 186.59/186.35 [9337]P1(f862(f862(f227(f932(x93371,a921)),x93372),f862(f862(f103(f932(x93371,a921)),x93373),x93374)))+~P1(f862(f862(f227(f932(x93371,a921)),f862(f862(f3(f932(x93371,a921)),x93372),x93373)),x93374)) % 186.59/186.35 [9421]~P86(x94211)+E(f862(f69(x94211),f862(f862(f8(x94212,x94211),f862(f862(f10(x94211,x94211,x94212),f69(x94211)),x94213)),x94214)),f862(f862(f8(x94212,x94211),f862(f862(f10(x94211,x94211,x94212),f69(x94211)),x94213)),x94214)) % 186.59/186.35 [9598]~P86(x95981)+P1(f862(f862(f227(x95981),f2(x95981)),f862(f862(f8(x95982,x95981),f862(f862(f10(x95981,x95981,x95982),f69(x95981)),x95983)),x95984))) % 186.59/186.35 [9602]~P59(x96021)+E(f862(f158(x96021),f862(f862(f147(x96022,x96021),f862(f66(x96021,x96021,x96022,f72(x96021)),x96023)),x96024)),f862(f72(x96021),f862(f158(x96021),f862(f862(f147(x96022,x96021),x96023),x96024)))) % 186.59/186.35 [9750]~P86(x97501)+P1(f862(f862(f227(x97501),f862(f69(x97501),f862(f862(f8(x97502,x97501),x97503),x97504))),f862(f862(f8(x97502,x97501),f862(f862(f10(x97501,x97501,x97502),f69(x97501)),x97503)),x97504))) % 186.59/186.35 [9779]~E(f862(f862(f73(a924),x97791),x97794),f862(f862(f73(a924),x97793),x97792))+P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),f862(f862(f244(a924,a924),x97791),x97792)),f862(f862(f244(a924,a924),x97793),x97794))),a101)) % 186.59/186.35 [9780]~P1(f862(f862(f228(a924),x97801),x97803))+P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),f862(f862(f244(a924,a924),x97801),x97802)),f862(f862(f244(a924,a924),x97803),x97804))),a26)) % 186.59/186.35 [9781]~P1(f862(f862(f228(a924),x97811),x97813))+P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),f862(f862(f244(a924,a924),x97811),x97812)),f862(f862(f244(a924,a924),x97813),x97814))),a64)) % 186.59/186.35 [9928]E(f862(f862(f73(a924),x99281),x99282),f862(f862(f73(a924),x99283),x99284))+~P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),f862(f862(f244(a924,a924),x99281),x99284)),f862(f862(f244(a924,a924),x99283),x99282))),a101)) % 186.59/186.35 [9959]E(f862(f862(f157(x99591),f862(f862(f131(x99591),f862(f182(f925(x99591)),f170(x99591,x99592,x99593))),x99593)),x99594),f862(f862(f157(x99591),x99593),f862(f862(f73(a924),x99594),f862(f182(f925(x99591)),f170(x99591,x99592,x99593)))))+~P1(f862(f862(f228(a924),x99594),f862(f182(f925(x99591)),f862(f862(f131(x99591),f862(f182(f925(x99591)),f170(x99591,x99592,x99593))),x99593)))) % 186.59/186.35 [9976]~P1(f862(f862(f321(x99762),x99764),f862(f862(f32(x99761,f932(x99762,a921)),f234(f932(x99761,a921))),x99763)))+P1(f862(f862(f862(f32(x99761,f932(x99762,a921)),f234(f932(x99761,a921))),f862(f862(f10(f932(x99762,a921),f932(x99762,a921),x99761),f862(f9(x99762,f932(x99762,a921),a921),f321(x99762))),x99763)),x99764)) % 186.59/186.35 [9977]~P1(f862(f862(f321(x99772),x99774),f862(f862(f33(x99771,f932(x99772,a921)),f234(f932(x99771,a921))),x99773)))+P1(f862(f862(f862(f33(x99771,f932(x99772,a921)),f234(f932(x99771,a921))),f862(f862(f10(f932(x99772,a921),f932(x99772,a921),x99771),f862(f9(x99772,f932(x99772,a921),a921),f321(x99772))),x99773)),x99774)) % 186.59/186.35 [10047]~P1(f862(f42(x100471,x100472),f862(f862(f244(a1,a1),x100474),x100473)))+P1(f862(f42(f862(f72(a1),x100471),x100472),f862(f862(f244(a1,a1),f862(f862(f862(f89(a1),f862(f862(a317,x100473),f2(a1))),f862(f72(a1),x100474)),f862(f862(f3(a1),f862(f72(a1),x100474)),f71(a1)))),f862(f862(f862(f89(a1),f862(f862(a317,x100473),f2(a1))),f2(a1)),f862(f862(f3(a1),x100472),x100473))))) % 186.59/186.35 [10059]P1(f862(f862(f321(x100591),x100592),f862(f862(f32(x100593,f932(x100591,a921)),f234(f932(x100593,a921))),x100594)))+~P1(f862(f862(f862(f32(x100593,f932(x100591,a921)),f234(f932(x100593,a921))),f862(f862(f10(f932(x100591,a921),f932(x100591,a921),x100593),f862(f9(x100591,f932(x100591,a921),a921),f321(x100591))),x100594)),x100592)) % 186.59/186.35 [10060]P1(f862(f862(f321(x100601),x100602),f862(f862(f33(x100603,f932(x100601,a921)),f234(f932(x100603,a921))),x100604)))+~P1(f862(f862(f862(f33(x100603,f932(x100601,a921)),f234(f932(x100603,a921))),f862(f862(f10(f932(x100601,a921),f932(x100601,a921),x100603),f862(f9(x100601,f932(x100601,a921),a921),f321(x100601))),x100604)),x100602)) % 186.59/186.35 [10072]E(f862(f862(f33(a924,f932(x100721,a921)),f234(f932(a924,a921))),x100722),f862(f862(f33(a924,f932(x100721,a921)),f234(f932(a924,a921))),x100723))+~E(f862(f862(f33(a924,f932(x100721,a921)),f862(f295(a924,f2(a924)),f518(x100722,x100724,x100723,x100721))),x100723),f862(f862(f33(a924,f932(x100721,a921)),f862(f295(a924,f2(a924)),f862(f862(f73(a924),f518(x100722,x100724,x100723,x100721)),x100724))),x100722)) % 186.59/186.35 [10424]~P1(f862(f862(f227(f932(f931(x104241,x104242),a921)),x104243),x104244))+P1(f862(f862(f227(f932(x104241,f932(x104242,a921))),f862(f862(f9(x104241,f932(f931(x104241,x104242),a921),f932(x104242,a921)),f862(f862(f10(f932(x104242,f932(f932(f931(x104241,x104242),a921),a921)),f932(f932(f931(x104241,x104242),a921),f932(x104242,a921)),x104241),f9(x104242,f932(f931(x104241,x104242),a921),a921)),f862(f862(f10(f932(x104242,f931(x104241,x104242)),f932(x104242,f932(f932(f931(x104241,x104242),a921),a921)),x104241),f862(f10(f931(x104241,x104242),f932(f932(f931(x104241,x104242),a921),a921),x104242),f321(f931(x104241,x104242)))),f244(x104241,x104242)))),x104243)),f862(f862(f9(x104241,f932(f931(x104241,x104242),a921),f932(x104242,a921)),f862(f862(f10(f932(x104242,f932(f932(f931(x104241,x104242),a921),a921)),f932(f932(f931(x104241,x104242),a921),f932(x104242,a921)),x104241),f9(x104242,f932(f931(x104241,x104242),a921),a921)),f862(f862(f10(f932(x104242,f931(x104241,x104242)),f932(x104242,f932(f932(f931(x104241,x104242),a921),a921)),x104241),f862(f10(f931(x104241,x104242),f932(f932(f931(x104241,x104242),a921),a921),x104242),f321(f931(x104241,x104242)))),f244(x104241,x104242)))),x104244))) % 186.59/186.35 [10440]P1(f862(f862(f227(f932(f931(x104401,x104402),a921)),x104403),x104404))+~P1(f862(f862(f227(f932(x104401,f932(x104402,a921))),f862(f862(f9(x104401,f932(f931(x104401,x104402),a921),f932(x104402,a921)),f862(f862(f10(f932(x104402,f932(f932(f931(x104401,x104402),a921),a921)),f932(f932(f931(x104401,x104402),a921),f932(x104402,a921)),x104401),f9(x104402,f932(f931(x104401,x104402),a921),a921)),f862(f862(f10(f932(x104402,f931(x104401,x104402)),f932(x104402,f932(f932(f931(x104401,x104402),a921),a921)),x104401),f862(f10(f931(x104401,x104402),f932(f932(f931(x104401,x104402),a921),a921),x104402),f321(f931(x104401,x104402)))),f244(x104401,x104402)))),x104403)),f862(f862(f9(x104401,f932(f931(x104401,x104402),a921),f932(x104402,a921)),f862(f862(f10(f932(x104402,f932(f932(f931(x104401,x104402),a921),a921)),f932(f932(f931(x104401,x104402),a921),f932(x104402,a921)),x104401),f9(x104402,f932(f931(x104401,x104402),a921),a921)),f862(f862(f10(f932(x104402,f931(x104401,x104402)),f932(x104402,f932(f932(f931(x104401,x104402),a921),a921)),x104401),f862(f10(f931(x104401,x104402),f932(f932(f931(x104401,x104402),a921),a921),x104402),f321(f931(x104401,x104402)))),f244(x104401,x104402)))),x104404))) % 186.59/186.35 [9468]~P1(f862(f862(f321(f931(x94681,x94681)),x94682),f299(x94681,x94684)))+P1(f862(f862(f321(f931(x94681,x94681)),x94682),f299(x94681,f862(f862(f103(f932(f931(x94681,x94681),a921)),x94683),x94684)))) % 186.59/186.35 [9469]~P1(f862(f862(f321(f931(x94691,x94691)),x94692),f299(x94691,x94693)))+P1(f862(f862(f321(f931(x94691,x94691)),x94692),f299(x94691,f862(f862(f103(f932(f931(x94691,x94691),a921)),x94693),x94694)))) % 186.59/186.35 [10161]~P1(f862(f862(f227(a924),f862(f862(f73(a924),x101611),x101614)),f862(f862(f73(a924),x101613),x101612)))+P1(f862(f862(f227(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x101611),x101612)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x101613),x101614)),f181(f932(f931(a924,a924),a921))))))) % 186.59/186.35 [10162]~P1(f862(f862(f228(a924),f862(f862(f73(a924),x101621),x101624)),f862(f862(f73(a924),x101623),x101622)))+P1(f862(f862(f228(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x101621),x101622)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x101623),x101624)),f181(f932(f931(a924,a924),a921))))))) % 186.59/186.35 [10251]P1(f862(f862(f227(a924),f862(f862(f73(a924),x102511),x102512)),f862(f862(f73(a924),x102513),x102514)))+~P1(f862(f862(f227(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x102511),x102514)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x102513),x102512)),f181(f932(f931(a924,a924),a921))))))) % 186.59/186.35 [10252]P1(f862(f862(f228(a924),f862(f862(f73(a924),x102521),x102522)),f862(f862(f73(a924),x102523),x102524)))+~P1(f862(f862(f228(a1),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x102521),x102524)),f181(f932(f931(a924,a924),a921)))))),f862(a82,f862(f276(f931(a924,a924),f931(a924,a924),a101),f862(f862(f301(f931(a924,a924)),f862(f862(f244(a924,a924),x102523),x102522)),f181(f932(f931(a924,a924),a921))))))) % 186.59/186.35 [10296]P1(f862(f862(f227(f932(x102961,a921)),f862(f862(f33(a924,f932(x102961,a921)),f234(f932(a924,a921))),x102962)),f862(f862(f33(a924,f932(x102961,a921)),f234(f932(a924,a921))),x102963)))+~P1(f862(f862(f227(f932(x102961,a921)),f862(f862(f33(a924,f932(x102961,a921)),f862(f295(a924,f2(a924)),f509(x102963,x102964,x102962,x102961))),x102962)),f862(f862(f33(a924,f932(x102961,a921)),f862(f295(a924,f2(a924)),f862(f862(f73(a924),f509(x102963,x102964,x102962,x102961)),x102964))),x102963))) % 186.59/186.35 [10354]P1(f862(f862(f227(a92),x103544),f2(a92)))+E(f862(f862(f251(f931(a92,a92),f931(x103541,f932(a927,a315)),f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92))),f862(x103542,x103543)),f862(f862(f10(f932(f932(a92,f932(a921,f928(f926(x103541)))),f932(f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92)))),f932(f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92))),f931(x103541,f932(a927,a315))),f862(f251(f931(a92,a92),f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92))),f269(x103541,x103542,f862(f862(f3(a92),x103544),f71(a92)),x103543))),f862(f862(f10(f932(f932(a92,f932(a921,f928(f926(x103541)))),f932(a92,f932(a921,f928(f926(x103541))))),f932(f932(a92,f932(a921,f928(f926(x103541)))),f932(f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92)))),f931(x103541,f932(a927,a315))),f862(f10(f932(a92,f932(a921,f928(f926(x103541)))),f932(f931(a92,a92),f931(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92))),f932(a92,f932(a921,f928(f926(x103541))))),f244(f932(a92,f932(a921,f928(f926(x103541)))),f931(a92,a92)))),f862(f862(f10(f932(a92,f932(a921,f928(f926(x103541)))),f932(f932(a92,f932(a921,f928(f926(x103541)))),f932(a92,f932(a921,f928(f926(x103541))))),f931(x103541,f932(a927,a315))),f37(x103541)),f862(f862(f10(x103541,f932(a92,f932(a921,f928(f926(x103541)))),f931(x103541,f932(a927,a315))),f35(x103541)),f243(x103541,f932(a927,a315))))))),f269(x103541,x103542,x103544,x103543)) % 186.59/186.35 [10414]~P1(f862(f862(f321(x104142),x104144),f862(f275(x104141,x104142),x104143)))+P1(f862(f242(x104141,x104142,f862(f862(f9(x104141,f932(f931(x104141,x104142),a921),f932(x104142,a921)),f862(f862(f10(f932(x104142,f932(f932(f931(x104141,x104142),a921),a921)),f932(f932(f931(x104141,x104142),a921),f932(x104142,a921)),x104141),f9(x104142,f932(f931(x104141,x104142),a921),a921)),f862(f862(f10(f932(x104142,f931(x104141,x104142)),f932(x104142,f932(f932(f931(x104141,x104142),a921),a921)),x104141),f862(f10(f931(x104141,x104142),f932(f932(f931(x104141,x104142),a921),a921),x104142),f321(f931(x104141,x104142)))),f244(x104141,x104142)))),x104143)),x104144)) % 186.59/186.35 [10415]~P1(f862(f862(f321(x104151),x104154),f862(f256(x104151,x104152),x104153)))+P1(f862(f241(x104151,x104152,f862(f862(f9(x104151,f932(f931(x104151,x104152),a921),f932(x104152,a921)),f862(f862(f10(f932(x104152,f932(f932(f931(x104151,x104152),a921),a921)),f932(f932(f931(x104151,x104152),a921),f932(x104152,a921)),x104151),f9(x104152,f932(f931(x104151,x104152),a921),a921)),f862(f862(f10(f932(x104152,f931(x104151,x104152)),f932(x104152,f932(f932(f931(x104151,x104152),a921),a921)),x104151),f862(f10(f931(x104151,x104152),f932(f932(f931(x104151,x104152),a921),a921),x104152),f321(f931(x104151,x104152)))),f244(x104151,x104152)))),x104153)),x104154)) % 186.59/186.35 [10427]P1(f862(f862(f321(x104271),x104272),f862(f275(x104273,x104271),x104274)))+~P1(f862(f242(x104273,x104271,f862(f862(f9(x104273,f932(f931(x104273,x104271),a921),f932(x104271,a921)),f862(f862(f10(f932(x104271,f932(f932(f931(x104273,x104271),a921),a921)),f932(f932(f931(x104273,x104271),a921),f932(x104271,a921)),x104273),f9(x104271,f932(f931(x104273,x104271),a921),a921)),f862(f862(f10(f932(x104271,f931(x104273,x104271)),f932(x104271,f932(f932(f931(x104273,x104271),a921),a921)),x104273),f862(f10(f931(x104273,x104271),f932(f932(f931(x104273,x104271),a921),a921),x104271),f321(f931(x104273,x104271)))),f244(x104273,x104271)))),x104274)),x104272)) % 186.59/186.35 [10428]P1(f862(f862(f321(x104281),x104282),f862(f256(x104281,x104283),x104284)))+~P1(f862(f241(x104281,x104283,f862(f862(f9(x104281,f932(f931(x104281,x104283),a921),f932(x104283,a921)),f862(f862(f10(f932(x104283,f932(f932(f931(x104281,x104283),a921),a921)),f932(f932(f931(x104281,x104283),a921),f932(x104283,a921)),x104281),f9(x104283,f932(f931(x104281,x104283),a921),a921)),f862(f862(f10(f932(x104283,f931(x104281,x104283)),f932(x104283,f932(f932(f931(x104281,x104283),a921),a921)),x104281),f862(f10(f931(x104281,x104283),f932(f932(f931(x104281,x104283),a921),a921),x104283),f321(f931(x104281,x104283)))),f244(x104281,x104283)))),x104284)),x104282)) % 186.59/186.35 [10083]P1(f862(f153(x100831,x100832),x100833))+~P1(f862(f153(x100831,f862(f862(f20(x100831,a921,a921),f862(f862(f10(a921,f932(a921,a921),x100831),a318),x100834)),x100832)),x100833)) % 186.59/186.35 [10084]P1(f862(f153(x100841,x100842),x100843))+~P1(f862(f153(x100841,f862(f862(f20(x100841,a921,a921),f862(f862(f10(a921,f932(a921,a921),x100841),a318),x100842)),x100844)),x100843)) % 186.59/186.35 [10173]~P119(x101731)+E(f862(f862(f74(x101731),f862(f862(f73(x101731),f71(x101731)),f71(x101731))),f862(f862(f8(a924,x101731),f862(f862(f10(x101731,x101731,a924),f862(f73(x101731),x101732)),f862(f862(f9(a924,x101731,x101731),f862(f862(f10(x101731,f932(x101731,x101731),a924),f74(x101731)),f93(x101731))),x101733))),f862(f292(a924),x101734))),f862(f862(f74(x101731),f862(f93(x101731),x101734)),f862(f862(f73(x101731),x101732),f862(f862(f73(x101731),x101732),f862(f862(f74(x101731),f862(f93(x101731),f862(f862(f3(a924),x101734),f71(a924)))),x101733))))) % 186.59/186.35 [10317]P1(f862(x103171,f555(x103172,x103173,x103174,x103171)))+P35(x103172,f862(f254(f931(x103172,x103172)),f862(f249(x103172,x103172,a921),f862(f862(f10(f932(x103172,a921),f932(x103172,a921),x103172),f862(f20(x103172,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103172),a318),x103171))),f862(f862(f9(x103172,f932(x103172,x103172),f932(x103172,a921)),f862(f862(f10(f932(x103172,a921),f932(f932(x103172,x103172),f932(x103172,a921)),x103172),f10(x103172,a921,x103172)),a317)),x103173))))) % 186.59/186.35 [10331]~P1(f862(f862(f228(a924),f862(x103314,f862(x103313,f555(x103311,x103313,x103314,x103312)))),f862(x103314,f555(x103311,x103313,x103314,x103312))))+P35(x103311,f862(f254(f931(x103311,x103311)),f862(f249(x103311,x103311,a921),f862(f862(f10(f932(x103311,a921),f932(x103311,a921),x103311),f862(f20(x103311,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103311),a318),x103312))),f862(f862(f9(x103311,f932(x103311,x103311),f932(x103311,a921)),f862(f862(f10(f932(x103311,a921),f932(f932(x103311,x103311),f932(x103311,a921)),x103311),f10(x103311,a921,x103311)),a317)),x103313))))) % 186.59/186.35 [10401]~P3(x104011)+E(f31(x104011,f862(f254(x104011),f862(f862(f10(f932(f932(x104012,x104011),a921),a921,x104011),f80(f932(x104012,x104011))),f862(f862(f10(f932(f932(x104012,x104011),a921),f932(f932(x104012,x104011),a921),x104011),f862(f20(f932(x104012,x104011),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x104012,x104011)),a318),f862(f862(f9(f932(x104012,x104011),f932(f932(x104012,x104011),a921),a921),f321(f932(x104012,x104011))),x104013)))),f862(f862(f9(x104011,f932(f932(x104012,x104011),x104011),f932(f932(x104012,x104011),a921)),f862(f862(f10(f932(x104011,a921),f932(f932(f932(x104012,x104011),x104011),f932(f932(x104012,x104011),a921)),x104011),f10(x104011,a921,f932(x104012,x104011))),a317)),f862(f862(f9(f932(x104012,x104011),x104012,x104011),f7(f932(x104012,x104011))),x104014)))))),f862(f31(f932(x104012,x104011),x104013),x104014)) % 186.59/186.35 [10402]~P3(x104021)+E(f31(x104021,f862(f254(x104021),f862(f862(f10(f932(f932(x104022,x104021),a921),a921,x104021),f80(f932(x104022,x104021))),f862(f862(f10(f932(f932(x104022,x104021),a921),f932(f932(x104022,x104021),a921),x104021),f862(f20(f932(x104022,x104021),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x104022,x104021)),a318),f862(f862(f9(f932(x104022,x104021),f932(f932(x104022,x104021),a921),a921),f321(f932(x104022,x104021))),x104023)))),f862(f862(f9(x104021,f932(f932(x104022,x104021),x104021),f932(f932(x104022,x104021),a921)),f862(f862(f10(f932(x104021,a921),f932(f932(f932(x104022,x104021),x104021),f932(f932(x104022,x104021),a921)),x104021),f10(x104021,a921,f932(x104022,x104021))),a317)),f862(f862(f9(f932(x104022,x104021),x104022,x104021),f7(f932(x104022,x104021))),x104024)))))),f862(f31(f932(x104022,x104021),x104023),x104024)) % 186.59/186.35 [10403]~P3(x104031)+E(f30(x104031,f862(f254(x104031),f862(f862(f10(f932(f932(x104032,x104031),a921),a921,x104031),f80(f932(x104032,x104031))),f862(f862(f10(f932(f932(x104032,x104031),a921),f932(f932(x104032,x104031),a921),x104031),f862(f20(f932(x104032,x104031),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x104032,x104031)),a318),f862(f862(f9(f932(x104032,x104031),f932(f932(x104032,x104031),a921),a921),f321(f932(x104032,x104031))),x104033)))),f862(f862(f9(x104031,f932(f932(x104032,x104031),x104031),f932(f932(x104032,x104031),a921)),f862(f862(f10(f932(x104031,a921),f932(f932(f932(x104032,x104031),x104031),f932(f932(x104032,x104031),a921)),x104031),f10(x104031,a921,f932(x104032,x104031))),a317)),f862(f862(f9(f932(x104032,x104031),x104032,x104031),f7(f932(x104032,x104031))),x104034)))))),f862(f30(f932(x104032,x104031),x104033),x104034)) % 186.59/186.35 [10404]~P3(x104041)+E(f30(x104041,f862(f254(x104041),f862(f862(f10(f932(f932(x104042,x104041),a921),a921,x104041),f80(f932(x104042,x104041))),f862(f862(f10(f932(f932(x104042,x104041),a921),f932(f932(x104042,x104041),a921),x104041),f862(f20(f932(x104042,x104041),a921,a921),f862(f862(f10(a921,f932(a921,a921),f932(x104042,x104041)),a318),f862(f862(f9(f932(x104042,x104041),f932(f932(x104042,x104041),a921),a921),f321(f932(x104042,x104041))),x104043)))),f862(f862(f9(x104041,f932(f932(x104042,x104041),x104041),f932(f932(x104042,x104041),a921)),f862(f862(f10(f932(x104041,a921),f932(f932(f932(x104042,x104041),x104041),f932(f932(x104042,x104041),a921)),x104041),f10(x104041,a921,f932(x104042,x104041))),a317)),f862(f862(f9(f932(x104042,x104041),x104042,x104041),f7(f932(x104042,x104041))),x104044)))))),f862(f30(f932(x104042,x104041),x104043),x104044)) % 186.59/186.35 [10453]~P1(f862(f862(f321(f931(x104531,x104531)),f862(f862(f244(x104531,x104531),x104533),x104534)),f862(f862(f103(f932(f931(x104531,x104531),a921)),x104532),f299(x104531,f181(f932(f931(x104531,x104531),a921))))))+P1(f862(f862(f862(f862(f103(f932(x104531,f932(x104531,a921))),f862(f862(f9(x104531,f932(f931(x104531,x104531),a921),f932(x104531,a921)),f862(f862(f10(f932(x104531,f932(f932(f931(x104531,x104531),a921),a921)),f932(f932(f931(x104531,x104531),a921),f932(x104531,a921)),x104531),f9(x104531,f932(f931(x104531,x104531),a921),a921)),f862(f862(f10(f932(x104531,f931(x104531,x104531)),f932(x104531,f932(f932(f931(x104531,x104531),a921),a921)),x104531),f862(f10(f931(x104531,x104531),f932(f932(f931(x104531,x104531),a921),a921),x104531),f321(f931(x104531,x104531)))),f244(x104531,x104531)))),x104532)),a317),x104533),x104534)) % 186.59/186.35 [10463]P1(f862(f862(f321(f931(x104631,x104631)),f862(f862(f244(x104631,x104631),x104632),x104633)),f862(f862(f103(f932(f931(x104631,x104631),a921)),x104634),f299(x104631,f181(f932(f931(x104631,x104631),a921))))))+~P1(f862(f862(f862(f862(f103(f932(x104631,f932(x104631,a921))),f862(f862(f9(x104631,f932(f931(x104631,x104631),a921),f932(x104631,a921)),f862(f862(f10(f932(x104631,f932(f932(f931(x104631,x104631),a921),a921)),f932(f932(f931(x104631,x104631),a921),f932(x104631,a921)),x104631),f9(x104631,f932(f931(x104631,x104631),a921),a921)),f862(f862(f10(f932(x104631,f931(x104631,x104631)),f932(x104631,f932(f932(f931(x104631,x104631),a921),a921)),x104631),f862(f10(f931(x104631,x104631),f932(f932(f931(x104631,x104631),a921),a921),x104631),f321(f931(x104631,x104631)))),f244(x104631,x104631)))),x104634)),a317),x104632),x104633)) % 186.59/186.35 [10411]E(f862(f862(f144(f925(x104111)),f862(f862(f144(x104111),x104112),f862(f135(f925(x104111),f925(x104111),f127(x104111),f106(x104111)),f862(f862(f147(f925(x104111),f925(x104111)),f149(f925(x104111),x104111,f106(x104111),f862(f862(f10(f925(x104111),f932(f925(x104111),f925(x104111)),x104111),f18(f925(x104111),f925(x104111))),f862(f862(f9(x104111,f925(x104111),f925(x104111)),f144(x104111)),f106(x104111))))),x104113)))),f172(x104111,f862(f862(f144(f925(x104111)),x104114),f862(f135(f925(f925(x104111)),f925(f925(x104111)),f127(f925(x104111)),f106(f925(x104111))),f862(f862(f147(f925(x104111),f925(f925(x104111))),f149(f925(f925(x104111)),x104111,f106(f925(x104111)),f862(f18(f932(f925(x104111),f925(f925(x104111))),x104111),f862(f862(f9(f925(x104111),f925(f925(x104111)),f925(f925(x104111))),f144(f925(x104111))),f106(f925(x104111)))))),x104113))))),f172(x104111,f862(f862(f144(f925(x104111)),f862(f862(f144(x104111),x104112),x104114)),x104113)))+~P1(f862(f307(f925(f925(x104111)),f173(x104111)),f862(f862(f144(f925(x104111)),f862(f862(f144(x104111),x104112),x104114)),x104113))) % 186.59/186.35 [10452]~P1(f862(f54(x104522),f862(f254(x104522),x104524)))+P1(f862(f54(x104521),f862(f254(x104521),f862(f862(f10(f932(x104522,a921),a921,x104521),f80(x104522)),f862(f862(f9(x104521,f932(x104522,a921),f932(x104522,a921)),f862(f862(f10(f932(x104522,f932(a921,a921)),f932(f932(x104522,a921),f932(x104522,a921)),x104521),f20(x104522,a921,a921)),f862(f862(f10(f932(x104522,a921),f932(x104522,f932(a921,a921)),x104521),f862(f10(a921,f932(a921,a921),x104522),a318)),f862(f862(f9(x104521,f932(x104522,x104521),f932(x104522,a921)),f862(f862(f10(f932(x104521,a921),f932(f932(x104522,x104521),f932(x104522,a921)),x104521),f10(x104521,a921,x104522)),a317)),x104523)))),x104524))))) % 186.59/186.35 [8963]P22(x89631,x89632,x89633,x89634)+~P23(x89631,x89632,x89633,x89634,x89635) % 186.59/186.35 [5436]E(x54361,x54362)+~E(f162(x54363,x54361,x54364),f162(x54363,x54362,x54365)) % 186.59/186.35 [5437]E(x54371,x54372)+~E(f119(x54373,x54374,x54371),f119(x54373,x54375,x54372)) % 186.59/186.35 [5438]E(x54381,x54382)+~E(f119(x54383,x54381,x54384),f119(x54383,x54382,x54385)) % 186.59/186.35 [8287]~E(f862(x82873,x82874),x82875)+E(f68(x82871,x82872,x82873,x82874,x82875),x82873) % 186.59/186.35 [8820]~E(f68(x88204,x88205,x88201,x88202,x88203),x88201)+E(f862(x88201,x88202),x88203) % 186.59/186.35 [9439]~P23(x94392,x94391,x94394,x94393,x94395)+P23(x94391,x94392,f70(x94392,x94391,x94393,x94394),x94395,x94393) % 186.59/186.35 [9440]~P23(x94402,x94401,x94404,x94403,x94405)+P23(x94401,x94402,f86(x94402,x94401,x94403,x94404),x94405,x94403) % 186.59/186.35 [6248]P1(f862(f242(x62481,x62482,x62483),x62484))+~P1(f862(f862(x62483,x62485),x62484)) % 186.59/186.35 [6250]P1(f862(f241(x62501,x62502,x62503),x62504))+~P1(f862(f862(x62503,x62504),x62505)) % 186.59/186.35 [6734]~E(x67345,f2(a92))+E(f862(f191(x67341,x67342,x67343,x67344),x67345),f108(x67342)) % 186.59/186.35 [6735]~E(x67355,f2(a92))+E(f862(f189(x67351,x67352,x67353,x67354),x67355),f117(x67352)) % 186.59/186.35 [6875]~E(x68753,f2(a92))+E(f862(f265(x68751,x68752,x68753,x68754),x68755),f862(f244(x68751,x68752),x68755)) % 186.59/186.35 [7932]~P18(x79324,x79321,x79322,x79325)+E(f862(f66(x79321,x79321,x79321,f862(x79322,x79323)),f862(x79322,x79323)),f862(x79322,x79323)) % 186.59/186.35 [8328]~P14(x83285,x83281,x83282)+E(f862(f66(x83281,x83281,x83281,f862(x83282,x83283)),f862(x83282,x83284)),f862(f66(x83281,x83281,x83281,f862(x83282,x83284)),f862(x83282,x83283))) % 186.59/186.35 [8653]P1(f862(f862(f321(f931(x86531,x86531)),f862(f862(f244(x86531,x86531),x86532),x86533)),f313(x86531,x86534,x86535)))+~P1(f862(f862(f228(a924),f862(x86534,x86532)),f862(x86534,x86533))) % 186.59/186.35 [8748]~P1(f862(f862(f321(x87484),x87483),f281(x87484,x87481,x87482,x87485)))+P1(f862(f862(x87481,x87482),x87483)) % 186.59/186.35 [8749]~P1(f862(f862(f321(x87494),x87493),f290(x87494,x87491,x87492,x87495)))+P1(f862(f862(x87491,x87492),x87493)) % 186.59/186.35 [8750]~P1(f862(f862(f321(x87504),x87502),f281(x87504,x87501,x87505,x87503)))+P1(f862(f862(x87501,x87502),x87503)) % 186.59/186.35 [8751]~P1(f862(f862(f321(x87514),x87512),f290(x87514,x87511,x87515,x87513)))+P1(f862(f862(x87511,x87512),x87513)) % 186.59/186.35 [8832]~P23(x88321,x88323,x88325,x88322,x88324)+E(f862(f28(x88321),x88322),f862(f28(x88323),x88324)) % 186.59/186.35 [8880]~P23(x88801,x88802,x88803,x88804,x88805)+E(f862(f302(x88801,x88802,x88803),x88804),x88805) % 186.59/186.35 [8901]~P54(x89012,x89011,x89015,x89013,x89014)+E(f862(f302(x89011,x89012,x89013),x89014),f234(f932(x89012,a921))) % 186.59/186.35 [9349]~P32(x93491,x93492,x93493,x93494,x93495)+P32(x93491,x93492,x93493,f862(f161(x93491),x93494),f862(f161(x93492),x93495)) % 186.59/186.35 [9351]~P32(x93511,x93512,x93513,f862(f161(x93511),x93514),x93515)+P32(x93511,x93512,x93513,x93514,f862(f161(x93512),x93515)) % 186.59/186.35 [9352]~P32(x93521,x93522,x93523,x93524,f862(f161(x93522),x93525))+P32(x93521,x93522,x93523,f862(f161(x93521),x93524),x93525) % 186.59/186.35 [9358]P32(x93581,x93582,x93583,x93584,x93585)+~P32(x93581,x93582,x93583,f862(f161(x93581),x93584),f862(f161(x93582),x93585)) % 186.59/186.35 [9769]P1(f862(f862(f321(f931(f925(x97691),f925(x97691))),f862(f862(f244(f925(x97691),f925(x97691)),f862(f862(f144(x97691),x97692),x97693)),f862(f862(f144(x97691),x97692),x97694))),f150(x97691,x97695)))+~P1(f862(f862(f321(f931(f925(x97691),f925(x97691))),f862(f862(f244(f925(x97691),f925(x97691)),x97693),x97694)),f150(x97691,x97695))) % 186.59/186.35 [9770]P1(f862(f862(f321(f931(f925(x97701),f925(x97701))),f862(f862(f244(f925(x97701),f925(x97701)),f862(f862(f127(x97701),x97702),x97703)),f862(f862(f127(x97701),x97702),x97704))),f140(x97701,x97705)))+~P1(f862(f862(f321(f931(f925(x97701),f925(x97701))),f862(f862(f244(f925(x97701),f925(x97701)),x97703),x97704)),f140(x97701,x97705))) % 186.59/186.35 [9966]E(f862(f862(f144(x99661),f660(x99662,x99663,x99664,x99665,x99661)),f663(x99662,x99663,x99664,x99665,x99661)),x99665)+~P1(f862(f862(f321(f931(f925(x99661),f925(x99661))),f862(f862(f244(f925(x99661),f925(x99661)),x99665),f862(f862(f144(x99661),x99664),x99663))),f151(x99661,x99662))) % 186.59/186.35 [9988]E(f862(f862(f144(x99881),f661(x99882,x99883,x99884,x99885,x99881)),f662(x99882,x99883,x99884,x99885,x99881)),x99883)+~P1(f862(f862(f321(f931(f925(x99881),f925(x99881))),f862(f862(f244(f925(x99881),f925(x99881)),f862(f862(f144(x99881),x99885),x99884)),x99883)),f151(x99881,x99882))) % 186.59/186.35 [10136]~P1(f862(f862(f321(f931(f925(x101361),f925(x101361))),f862(f862(f244(f925(x101361),f925(x101361)),f862(f862(f144(x101361),x101365),x101362)),x101364)),f151(x101361,x101363)))+P1(f862(f862(f321(f931(f925(x101361),f925(x101361))),f862(f862(f244(f925(x101361),f925(x101361)),x101362),f662(x101363,x101364,x101362,x101365,x101361))),f151(x101361,x101363))) % 186.59/186.35 [10217]~P1(f862(f862(f321(f931(f925(x102171),f925(x102171))),f862(f862(f244(f925(x102171),f925(x102171)),x102175),f862(f862(f144(x102171),x102174),x102173))),f151(x102171,x102172)))+P1(f862(f862(f321(f931(f925(x102171),f925(x102171))),f862(f862(f244(f925(x102171),f925(x102171)),f663(x102172,x102173,x102174,x102175,x102171)),x102173)),f151(x102171,x102172))) % 186.59/186.35 [10405]P1(f862(f862(f321(f931(x104051,x104051)),f862(f862(f244(x104051,x104051),f862(x104052,f862(f862(f73(a924),x104053),x104054))),f862(x104052,x104053))),f299(x104051,x104055)))+~P1(f862(f862(f321(f931(x104051,x104051)),f862(f862(f244(x104051,x104051),f862(x104052,f862(a105,f624(x104054,x104053,x104055,x104052,x104051)))),f862(x104052,f624(x104054,x104053,x104055,x104052,x104051)))),f299(x104051,x104055))) % 186.59/186.35 [5409]E(x54091,x54092)+~E(f862(f862(f144(x54093),x54094),x54091),f862(f862(f144(x54093),x54095),x54092)) % 186.59/186.35 [5410]E(x54101,x54102)+~E(f862(f862(f144(x54103),x54101),x54104),f862(f862(f144(x54103),x54102),x54105)) % 186.59/186.35 [5453]P1(f862(x54531,x54532))+~E(f862(f129(x54533,x54531),x54534),f862(f862(f144(x54533),x54532),x54535)) % 186.59/186.35 [5454]P1(f862(x54541,x54542))+~E(f862(f862(f144(x54543),x54542),x54544),f862(f129(x54543,x54541),x54545)) % 186.59/186.35 [5615]~E(f862(f862(f131(x56151),x56153),x56152),f862(f862(f144(x56151),x56154),x56155))+E(f862(f862(f157(x56151),x56152),x56153),x56154) % 186.59/186.35 [5754]~P12(x57544,x57545,x57541)+E(f862(f862(x57541,x57542),f862(f862(x57541,x57542),x57543)),f862(f862(x57541,x57542),x57543)) % 186.59/186.35 [6307]~E(x63074,f2(a92))+E(f862(f862(f110(x63071,x63072,x63073),x63074),x63075),f862(f862(f244(f925(x63072),x63071),f106(x63072)),x63075)) % 186.59/186.35 [6380]~P109(x63802)+~E(f862(f862(f141(x63801,x63802,x63803),x63804),x63805),f106(x63801)) % 186.59/186.35 [6775]E(x67751,x67752)+~E(f862(f862(f127(x67753),x67754),f862(f862(f144(x67753),x67751),f106(x67753))),f862(f862(f127(x67753),x67755),f862(f862(f144(x67753),x67752),f106(x67753)))) % 186.59/186.35 [6776]E(x67761,x67762)+~E(f862(f862(f127(x67763),x67761),f862(f862(f144(x67763),x67764),f106(x67763))),f862(f862(f127(x67763),x67762),f862(f862(f144(x67763),x67765),f106(x67763)))) % 186.59/186.35 [7095]E(f862(f862(f301(x70951),f862(x70952,x70953)),f862(f302(x70954,x70951,x70952),x70955)),f862(f302(x70954,x70951,x70952),x70955))+~P1(f862(f862(f321(x70954),x70953),x70955)) % 186.59/186.35 [7102]~P1(f862(x71024,f862(x71023,x71025)))+P1(f862(f862(f303(x71021,x71022,x71023),x71024),x71025)) % 186.59/186.35 [7105]~P1(f862(f862(x71053,x71055),x71054))+P1(f862(f862(f235(x71051,x71052,x71053),x71054),x71055)) % 186.59/186.35 [7201]~E(f862(f302(x72011,x72012,x72013),x72014),x72015)+E(f862(f302(f932(x72011,a921),f932(x72012,a921),f302(x72011,x72012,x72013)),f862(f300(x72011),x72014)),f862(f300(x72012),x72015)) % 186.59/186.35 [7228]E(f862(f263(x72281,x72282,x72283,x72284),x72285),f862(x72284,x72285))+~P1(f862(f862(f321(x72281),x72285),x72283)) % 186.59/186.35 [7544]P22(x75441,x75442,x75443,x75444)+~P22(x75441,x75442,x75443,f862(f862(f301(x75441),x75445),x75444)) % 186.59/186.35 [7648]~P1(f862(f862(f321(x76484),x76483),x76485))+P1(f862(f862(f321(x76481),f862(x76482,x76483)),f862(f302(x76484,x76481,x76482),x76485))) % 186.59/186.35 [7669]~P109(x76692)+E(f143(x76691,x76692,x76693,f862(f129(x76691,x76694),x76695)),f862(f129(x76691,x76694),f143(x76691,x76692,x76693,x76695))) % 186.59/186.35 [7700]P1(f862(x77001,f862(x77002,x77003)))+~P1(f862(f862(f303(x77004,x77005,x77002),x77001),x77003)) % 186.59/186.35 [7703]P1(f862(f862(x77031,x77032),x77033))+~P1(f862(f862(f235(x77034,x77035,x77031),x77033),x77032)) % 186.59/186.35 [7767]~P1(f862(f862(f321(x77673),f862(x77674,x77672)),x77675))+P1(f862(f862(f321(x77671),x77672),f862(f303(x77671,x77673,x77674),x77675))) % 186.59/186.35 [8167]~P1(f862(f862(f321(x81675),x81673),f862(f303(x81675,x81671,x81672),x81674)))+P1(f862(f862(f321(x81671),f862(x81672,x81673)),x81674)) % 186.59/186.35 [8468]~P14(x84682,x84681,x84683)+E(f862(f135(x84681,x84682,f862(f9(x84682,x84681,x84681),x84683),x84684),f145(x84682,x84685)),f862(f862(f57(x84682,x84681,x84683),x84684),f862(f165(x84682),x84685))) % 186.59/186.35 [8490]E(f862(x84901,f812(x84902,x84901,x84903,x84904)),x84904)+~P1(f862(f862(f321(x84905),x84904),f862(f302(x84903,x84905,x84901),x84902))) % 186.59/186.35 [8795]~E(x87952,f862(f862(f144(x87951),x87954),x87955))+P1(f862(f862(f321(f931(f925(x87951),f925(x87951))),f862(f862(f244(f925(x87951),f925(x87951)),f106(x87951)),x87952)),f140(x87951,x87953))) % 186.59/186.35 [8841]E(f862(x88411,f862(f86(x88412,x88413,x88414,x88411),x88415)),x88415)+~P1(f862(f862(f321(x88413),x88415),f862(f302(x88412,x88413,x88411),x88414))) % 186.59/186.35 [8844]P22(x88441,x88442,f86(x88442,x88441,x88443,x88444),x88445)+~P1(f862(f862(f227(f932(x88441,a921)),x88445),f862(f302(x88442,x88441,x88444),x88443))) % 186.59/186.35 [8851]~P32(x88511,x88513,x88515,x88512,x88514)+E(f862(f182(f925(x88511)),x88512),f862(f182(f925(x88513)),x88514)) % 186.59/186.35 [8862]P1(f862(f862(f227(f932(x88621,a921)),f862(f862(f32(x88622,f932(x88621,a921)),x88623),x88624)),f862(x88624,x88625)))+~P1(f862(f862(f321(x88622),x88625),x88623)) % 186.59/186.35 [8917]~P54(x89171,x89172,x89173,x89175,x89174)+E(f862(f302(x89171,x89172,x89173),f234(f932(x89171,a921))),x89174) % 186.59/186.35 [9144]E(f862(f129(x91441,x91442),f748(x91443,x91444,x91445,x91442,x91441)),x91443)+~E(f862(f129(x91441,x91442),x91445),f862(f862(f144(x91441),x91444),x91443)) % 186.59/186.35 [9145]E(f862(f129(x91451,x91452),f749(x91453,x91452,x91454,x91455,x91451)),x91454)+~E(f862(f862(f144(x91451),x91455),x91454),f862(f129(x91451,x91452),x91453)) % 186.59/186.35 [9236]E(f862(f182(f925(x92361)),x92362),x92363)+~P1(f862(f862(f321(f931(f925(x92361),f925(x92361))),f862(f862(f244(f925(x92361),f925(x92361)),x92364),x92362)),f862(f136(x92361,x92365),x92363))) % 186.59/186.35 [9237]E(f862(f182(f925(x92371)),x92372),x92373)+~P1(f862(f862(f321(f931(f925(x92371),f925(x92371))),f862(f862(f244(f925(x92371),f925(x92371)),x92372),x92374)),f862(f136(x92371,x92375),x92373))) % 186.59/186.35 [9307]P1(f862(f862(f321(x93071),f812(x93072,x93073,x93071,x93074)),x93072))+~P1(f862(f862(f321(x93075),x93074),f862(f302(x93071,x93075,x93073),x93072))) % 186.59/186.35 [9466]E(f862(f302(x94661,x94662,x94663),f822(x94664,x94663,x94661,x94665,x94662)),x94665)+~P1(f862(f862(f227(f932(x94662,a921)),x94665),f862(f302(x94661,x94662,x94663),x94664))) % 186.59/186.35 [9787]P1(f862(f862(f321(f931(f925(x97871),f925(x97871))),f862(f862(f244(f925(x97871),f925(x97871)),f862(f862(f144(x97871),x97872),x97873)),f862(f862(f144(x97871),x97872),x97874))),f299(f925(x97871),f150(x97871,x97875))))+~P1(f862(f862(f321(f931(f925(x97871),f925(x97871))),f862(f862(f244(f925(x97871),f925(x97871)),x97873),x97874)),f299(f925(x97871),f150(x97871,x97875)))) % 186.59/186.35 [9818]~E(f862(x98183,f700(x98185,x98184,x98183,x98182,x98181)),f862(x98185,f700(x98185,x98184,x98183,x98182,x98181)))+E(f862(f862(f147(x98181,x98182),x98183),x98184),f862(f862(f147(x98181,x98182),x98185),x98184)) % 186.59/186.35 [9893]~E(f862(f129(x98931,x98935),x98934),f862(f862(f144(x98931),x98933),x98932))+E(f862(f862(f127(x98931),f753(x98932,x98933,x98934,x98935,x98931)),f862(f862(f144(x98931),x98933),f748(x98932,x98933,x98934,x98935,x98931))),x98934) % 186.59/186.35 [9894]~E(f862(f862(f144(x98941),x98945),x98944),f862(f129(x98941,x98943),x98942))+E(f862(f862(f127(x98941),f750(x98942,x98943,x98944,x98945,x98941)),f862(f862(f144(x98941),x98945),f749(x98942,x98943,x98944,x98945,x98941))),x98942) % 186.59/186.35 [9898]E(f862(f862(f147(x98981,x98982),x98983),x98984),f862(f862(f147(x98981,x98982),x98985),x98984))+P1(f862(f862(f321(x98981),f700(x98983,x98984,x98985,x98982,x98981)),f862(f165(x98981),x98984))) % 186.59/186.35 [9929]~P1(f862(f862(f321(x99295),x99294),f862(f276(x99291,x99295,x99293),x99292)))+P1(f862(f862(f321(x99291),f521(x99292,x99293,x99291,x99294,x99295)),x99292)) % 186.59/186.35 [9930]~P1(f862(f862(f321(x99305),x99304),f862(f276(x99301,x99305,x99303),x99302)))+P1(f862(f862(f321(x99301),f526(x99302,x99303,x99301,x99304,x99305)),x99302)) % 186.59/186.35 [9960]~P1(f862(f862(f227(f932(x99605,a921)),x99604),f862(f302(x99601,x99605,x99603),x99602)))+P1(f862(f862(f227(f932(x99601,a921)),f822(x99602,x99603,x99601,x99604,x99605)),x99602)) % 186.59/186.35 [10406]E(x104061,f2(a92))+E(f216(f931(f925(x104062),x104063),f931(x104062,x104063),f862(f862(f244(f925(x104062),x104063),f106(x104062)),x104064),f862(f249(x104062,x104063,f931(f925(x104062),x104063)),f862(f862(f9(x104062,f932(x104063,f931(f925(x104062),x104063)),f932(x104063,f931(f925(x104062),x104063))),f862(f862(f10(f932(f931(f925(x104062),x104063),f931(f925(x104062),x104063)),f932(f932(x104063,f931(f925(x104062),x104063)),f932(x104063,f931(f925(x104062),x104063))),x104062),f10(f931(f925(x104062),x104063),f931(f925(x104062),x104063),x104063)),f862(f862(f10(f932(f925(x104062),f932(x104063,f931(f925(x104062),x104063))),f932(f931(f925(x104062),x104063),f931(f925(x104062),x104063)),x104062),f249(f925(x104062),x104063,f931(f925(x104062),x104063))),f862(f862(f10(f932(f925(x104062),f925(x104062)),f932(f925(x104062),f932(x104063,f931(f925(x104062),x104063))),x104062),f862(f10(f925(x104062),f932(x104063,f931(f925(x104062),x104063)),f925(x104062)),f244(f925(x104062),x104063))),f144(x104062))))),f862(f110(x104063,x104062,x104065),f862(f862(f3(a92),x104061),f71(a92))))),f862(x104065,x104064)),f862(f862(f110(x104063,x104062,x104065),x104061),x104064)) % 186.59/186.35 [6184]E(x61841,x61842)+~E(f862(f248(x61843,x61844),f862(f862(f244(x61843,x61844),x61845),x61841)),x61842) % 186.59/186.35 [6185]E(x61851,x61852)+~E(f862(f243(x61853,x61854),f862(f862(f244(x61853,x61854),x61851),x61855)),x61852) % 186.59/186.35 [6455]~E(x64553,f862(f862(f127(x64551),x64554),f862(f862(f144(x64551),x64552),x64555)))+P1(f862(f862(f321(x64551),x64552),f862(f165(x64551),x64553))) % 186.59/186.35 [6862]E(f862(f302(x68621,x68622,f862(f18(x68622,x68621),x68623)),x68624),f862(f862(f301(x68622),x68623),f181(f932(x68622,a921))))+~P1(f862(f862(f321(x68621),x68625),x68624)) % 186.59/186.35 [6935]E(f862(f862(f103(f932(x69351,a921)),f862(f165(x69351),x69352)),f862(f165(x69351),x69353)),f862(f165(x69351),x69354))+~E(f159(x69351,x69355,x69354),f862(f862(f244(f925(x69351),f925(x69351)),x69352),x69353)) % 186.59/186.35 [7035]~P109(x70352)+E(f862(f182(f925(x70351)),f862(f862(f141(x70351,x70352,x70353),x70354),x70355)),f862(a105,f862(f182(f925(x70351)),x70355))) % 186.59/186.35 [7049]~P109(x70492)+E(f862(f165(x70491),f862(f862(f141(x70491,x70492,x70493),x70494),x70495)),f862(f862(f301(x70491),x70494),f862(f165(x70491),x70495))) % 186.59/186.35 [7323]~P119(x73231)+E(f862(f862(f74(x73231),f862(f862(f74(x73231),x73232),x73233)),f862(f862(f74(x73231),x73234),x73235)),f862(f862(f74(x73231),f862(f862(f74(x73231),x73232),x73234)),f862(f862(f74(x73231),x73233),x73235))) % 186.59/186.35 [7324]~P119(x73241)+E(f862(f862(f73(x73241),f862(f862(f73(x73241),x73242),x73243)),f862(f862(f73(x73241),x73244),x73245)),f862(f862(f73(x73241),f862(f862(f73(x73241),x73242),x73244)),f862(f862(f73(x73241),x73243),x73245))) % 186.59/186.35 [7325]~P64(x73251)+E(f862(f862(f282(x73251),f862(f862(f74(x73251),x73252),x73253)),f862(f862(f74(x73251),x73254),x73255)),f862(f862(f74(x73251),f862(f862(f282(x73251),x73252),x73254)),f862(f862(f282(x73251),x73253),x73255))) % 186.59/186.35 [7339]~P109(x73391)+E(f298(x73391,f862(f862(f226(x73391),x73392),x73393),f862(f862(f225(x73391),x73394),x73395)),f862(f862(f94(f932(x73391,a921)),f298(x73391,x73392,x73394)),f298(x73391,x73393,x73395))) % 186.59/186.35 [7340]~P109(x73401)+E(f297(x73401,f862(f862(f226(x73401),x73402),x73403),f862(f862(f225(x73401),x73404),x73405)),f862(f862(f94(f932(x73401,a921)),f297(x73401,x73402,x73404)),f297(x73401,x73403,x73405))) % 186.59/186.35 [7341]~P109(x73411)+E(f296(x73411,f862(f862(f226(x73411),x73412),x73413),f862(f862(f225(x73411),x73414),x73415)),f862(f862(f94(f932(x73411,a921)),f296(x73411,x73412,x73414)),f296(x73411,x73413,x73415))) % 186.59/186.35 [7342]~P109(x73421)+E(f862(f862(f94(f932(x73421,a921)),f862(f295(x73421,x73422),x73423)),f862(f295(x73421,x73424),x73425)),f862(f295(x73421,f862(f862(f226(x73421),x73422),x73424)),f862(f862(f225(x73421),x73423),x73425))) % 186.59/186.35 [7465]~P1(f862(x74651,f464(x74653,x74652,x74651)))+P1(f862(x74651,f862(f862(f244(x74652,x74653),x74654),x74655))) % 186.59/186.35 [7575]~E(x75752,f862(x75754,x75755))+P1(f862(f862(f321(x75751),x75752),f862(f302(x75753,x75751,x75754),f234(f932(x75753,a921))))) % 186.59/186.35 [7646]~P14(x76463,x76462,x76464)+P14(x76461,x76462,f862(f862(f10(x76463,f932(x76462,x76462),x76461),x76464),x76465)) % 186.59/186.35 [7647]~P12(x76473,x76472,x76474)+P12(x76471,x76472,f862(f862(f10(x76473,f932(x76472,x76472),x76471),x76474),x76475)) % 186.59/186.35 [7784]~P22(x77841,x77842,x77843,x77844)+P22(x77841,x77842,x77843,f862(f862(f3(f932(x77841,a921)),x77844),x77845)) % 186.59/186.35 [7941]~P1(f862(f862(x79413,x79414),x79415))+P1(f862(f862(f249(x79411,x79412,a921),x79413),f862(f862(f244(x79411,x79412),x79414),x79415))) % 186.59/186.35 [8054]~P1(f862(x80542,x80544))+~E(f862(f862(f131(x80541),f862(f182(f925(x80541)),f170(x80541,x80542,x80543))),x80543),f862(f862(f144(x80541),x80544),x80545)) % 186.59/186.35 [8074]P22(x80741,x80742,x80743,x80744)+~P22(x80741,x80742,x80743,f862(f862(f103(f932(x80741,a921)),x80745),x80744)) % 186.59/186.35 [8075]P22(x80751,x80752,x80753,x80754)+~P22(x80751,x80752,x80753,f862(f862(f103(f932(x80751,a921)),x80754),x80755)) % 186.59/186.35 [8123]~P109(x81232)+E(f862(f862(f141(x81231,x81232,x81233),x81234),f143(x81231,x81232,x81233,x81235)),f143(x81231,x81232,x81233,f862(f862(f144(x81231),x81234),x81235))) % 186.59/186.35 [8445]~P12(x84452,x84451,x84453)+E(f862(f135(x84451,x84452,f862(f9(x84452,x84451,x84451),x84453),x84454),x84455),f862(f862(f57(x84452,x84451,x84453),x84454),f862(f165(x84452),x84455))) % 186.59/186.35 [8473]~E(f862(f862(f131(x84731),f862(f182(f925(x84731)),f170(x84731,x84732,x84733))),x84733),f862(f862(f144(x84731),x84734),x84735))+E(f862(f862(f127(x84731),f170(x84731,x84732,x84733)),f862(f862(f144(x84731),x84734),x84735)),x84733) % 186.59/186.35 [8500]P1(f862(f862(x85001,x85002),x85003))+~P1(f862(f862(f249(x85004,x85005,a921),x85001),f862(f862(f244(x85004,x85005),x85002),x85003))) % 186.59/186.35 [8980]P1(f862(f862(f227(f932(x89801,a921)),f862(f302(x89802,x89801,x89803),x89804)),f862(f302(x89802,x89801,x89803),x89805)))+~P1(f862(f862(f227(f932(x89802,a921)),x89804),x89805)) % 186.59/186.35 [8981]P1(f862(f862(f227(f932(x89811,a921)),f862(f303(x89811,x89812,x89813),x89814)),f862(f303(x89811,x89812,x89813),x89815)))+~P1(f862(f862(f227(f932(x89812,a921)),x89814),x89815)) % 186.59/186.35 [9062]E(x90621,f2(a92))+E(f862(f862(f251(x90622,x90623,x90622,f931(x90623,x90622)),f862(x90624,x90625)),f265(x90623,x90622,f862(f862(f3(a92),x90621),f71(a92)),x90624)),f862(f265(x90623,x90622,x90621,x90624),x90625)) % 186.59/186.35 [9169]P1(f862(f862(f247(x91691,x91692,a921,x91693),x91694),x91695))+~P1(f862(x91693,f862(f862(f244(x91691,x91692),x91694),x91695))) % 186.59/186.35 [9445]~P1(f862(f862(f247(x94452,x94453,a921,x94451),x94454),x94455))+P1(f862(x94451,f862(f862(f244(x94452,x94453),x94454),x94455))) % 186.59/186.35 [9632]~P1(f862(f862(f321(x96322),x96325),f862(f302(x96321,x96322,x96324),x96323)))+P1(f862(f862(f321(x96321),f862(f86(x96321,x96322,x96323,x96324),x96325)),x96323)) % 186.59/186.35 [9729]~P1(f862(f54(x97293),f862(f302(x97292,x97293,x97295),f234(f932(x97292,a921)))))+P1(f862(f54(x97291),f862(f302(x97292,x97291,f862(f862(f10(x97293,x97291,x97292),x97294),x97295)),f234(f932(x97292,a921))))) % 186.59/186.35 [9754]P1(f862(f862(f227(f932(f932(x97541,a921),a921)),f862(f302(f932(x97542,a921),f932(x97541,a921),f302(x97542,x97541,x97543)),f862(f300(x97542),x97544))),f862(f300(x97541),x97545)))+~P1(f862(f862(f227(f932(x97541,a921)),f862(f302(x97542,x97541,x97543),x97544)),x97545)) % 186.59/186.35 [9826]E(x98261,x98262)+~P1(f862(f59(x98263,x98264,x98265,x98261,f181(f932(x98263,a921))),x98262)) % 186.59/186.35 [9842]E(f862(f862(f244(x98421,x98422),f576(x98423,x98424,x98425,x98422,x98421)),f577(x98423,x98424,x98425,x98422,x98421)),x98425)+~P1(f862(f862(f321(f931(x98421,x98422)),x98425),f862(f862(f246(x98421,x98422),x98424),x98423))) % 186.59/186.35 [9935]P1(f862(f862(f321(x99351),f576(x99352,x99353,x99354,x99355,x99351)),x99353))+~P1(f862(f862(f321(f931(x99351,x99355)),x99354),f862(f862(f246(x99351,x99355),x99353),x99352))) % 186.59/186.35 [10094]P1(f862(f862(f321(x100941),f577(x100942,x100943,x100944,x100941,x100945)),f862(x100942,f576(x100942,x100943,x100944,x100941,x100945))))+~P1(f862(f862(f321(f931(x100945,x100941)),x100944),f862(f862(f246(x100945,x100941),x100943),x100942))) % 186.59/186.35 [10115]P1(f862(f862(f321(f931(x101151,x101151)),f862(f862(f244(x101151,x101151),x101152),f642(x101153,x101154,x101155,x101152,x101151))),x101153))+~P1(f862(f862(f321(f931(x101151,x101151)),f862(f862(f244(x101151,x101151),x101152),x101155)),f862(f862(f176(f931(x101151,x101151),a921),f862(a105,x101154)),x101153))) % 186.59/186.35 [10116]P1(f862(f862(f321(f931(x101161,x101161)),f862(f862(f244(x101161,x101161),x101162),f643(x101163,x101164,x101165,x101162,x101161))),x101163))+~P1(f862(f862(f321(f931(x101161,x101161)),f862(f862(f244(x101161,x101161),x101162),x101165)),f862(f862(f176(f931(x101161,x101161),a921),f862(a105,x101164)),x101163))) % 186.59/186.35 [10133]~P1(f862(f862(f321(f931(f925(x101331),f925(x101331))),f862(f862(f244(f925(x101331),f925(x101331)),f862(f862(f144(x101331),x101332),x101335)),x101334)),f151(x101331,x101333)))+P1(f862(f862(f321(f931(x101331,x101331)),f862(f862(f244(x101331,x101331),x101332),f661(x101333,x101334,x101335,x101332,x101331))),x101333)) % 186.59/186.35 [6536]P1(f862(x65362,x65364))+E(f170(x65361,x65362,f862(f862(f127(x65361),x65363),f862(f862(f144(x65361),x65364),x65365))),f170(x65361,x65362,x65363)) % 186.59/186.35 [6585]~P93(x65852)+E(f862(f862(f862(f103(f932(x65851,x65852)),x65853),x65854),x65855),f862(f862(f103(x65852),f862(x65853,x65855)),f862(x65854,x65855))) % 186.59/186.35 [6587]~P93(x65872)+E(f862(f862(f862(f94(f932(x65871,x65872)),x65873),x65874),x65875),f862(f862(f94(x65872),f862(x65873,x65875)),f862(x65874,x65875))) % 186.59/186.35 [6589]~P58(x65892)+E(f862(f862(f862(f3(f932(x65891,x65892)),x65893),x65894),x65895),f862(f862(f3(x65892),f862(x65893,x65895)),f862(x65894,x65895))) % 186.59/186.35 [6607]E(x66071,x66072)+E(f862(f862(f157(x66073),f862(f862(f152(x66073,x66074),x66071),x66075)),x66072),f862(f862(f157(x66073),x66074),x66072)) % 186.59/186.35 [6880]~E(x68804,f181(f932(x68803,a921)))+E(f862(f862(f103(f932(x68801,a921)),x68802),f862(f862(f33(x68803,f932(x68801,a921)),x68804),x68805)),x68802) % 186.59/186.35 [6881]~E(x68814,f181(f932(x68813,a921)))+E(f862(f862(f94(f932(x68811,a921)),x68812),f862(f862(f32(x68813,f932(x68811,a921)),x68814),x68815)),x68812) % 186.59/186.35 [6882]~E(x68824,f181(f932(x68823,a921)))+E(f862(f862(f3(f932(x68821,a921)),x68822),f862(f862(f33(x68823,f932(x68821,a921)),x68824),x68825)),x68822) % 186.59/186.35 [6897]~E(x68974,f181(f932(x68973,a921)))+E(f862(f862(f301(x68971),x68972),f862(f862(f33(x68973,f932(x68971,a921)),x68974),x68975)),f862(f862(f301(x68971),x68972),f181(f932(x68971,a921)))) % 186.59/186.35 [7692]E(f862(f862(f157(x76921),f862(f862(f147(x76922,x76921),x76923),x76924)),x76925),f862(x76923,f862(f862(f157(x76922),x76924),x76925)))+~P1(f862(f862(f228(a924),x76925),f862(f182(f925(x76922)),x76924))) % 186.59/186.35 [7755]E(f862(f862(f103(f932(x77551,a921)),f862(x77552,x77553)),f862(f862(f33(x77554,f932(x77551,a921)),x77555),x77552)),f862(f862(f33(x77554,f932(x77551,a921)),x77555),x77552))+~P1(f862(f862(f321(x77554),x77553),x77555)) % 186.59/186.35 [7756]E(f862(f862(f94(f932(x77561,a921)),f862(x77562,x77563)),f862(f862(f32(x77564,f932(x77561,a921)),x77565),x77562)),f862(f862(f32(x77564,f932(x77561,a921)),x77565),x77562))+~P1(f862(f862(f321(x77564),x77563),x77565)) % 186.59/186.35 [8367]~E(x83673,f181(f932(x83671,a921)))+E(f862(f862(f33(x83671,f932(x83672,a921)),x83673),f862(f862(f10(f932(x83672,a921),f932(x83672,a921),x83671),f862(f301(x83672),x83674)),x83675)),f181(f932(x83672,a921))) % 186.59/186.35 [8372]~P1(f862(f862(f321(x83724),x83723),x83725))+P1(f862(f862(f227(f932(x83721,a921)),f862(x83722,x83723)),f862(f862(f33(x83724,f932(x83721,a921)),x83725),x83722))) % 186.59/186.35 [8499]~E(f862(x84994,x84992),x84995)+P1(f862(f862(f321(x84991),x84992),f862(f303(x84991,x84993,x84994),f862(f862(f301(x84993),x84995),f181(f932(x84993,a921)))))) % 186.59/186.35 [8546]~P52(x85461,x85462,f862(f277(x85462,x85461),x85463))+E(f862(f862(f94(f932(x85461,a921)),f862(f276(x85462,x85461,x85463),x85464)),f862(f276(x85462,x85461,x85463),x85465)),f862(f276(x85462,x85461,x85463),f862(f862(f94(f932(x85462,a921)),x85464),x85465))) % 186.59/186.35 [8621]E(x86211,f2(a92))+E(f862(f111(x86212,x86213,f862(x86214,f862(f862(f3(a92),x86211),f71(a92)))),f862(f862(f9(x86212,a92,f926(x86213)),x86215),x86211)),f862(f191(x86212,x86213,x86214,x86215),x86211)) % 186.59/186.35 [8660]E(x86601,f181(f932(x86602,a921)))+E(f862(f862(f33(x86602,f932(x86603,a921)),x86601),f862(f862(f10(f932(x86603,a921),f932(x86603,a921),x86602),f862(f301(x86603),x86604)),x86605)),f862(f862(f301(x86603),x86604),f862(f862(f33(x86602,f932(x86603,a921)),x86601),x86605))) % 186.59/186.35 [8712]~P22(x87122,x87121,x87123,f234(f932(x87122,a921)))+E(f862(f862(f94(f932(x87121,a921)),f862(f302(x87122,x87121,x87123),x87124)),f862(f302(x87122,x87121,x87123),x87125)),f862(f302(x87122,x87121,x87123),f862(f862(f94(f932(x87122,a921)),x87124),x87125))) % 186.59/186.35 [8713]~P22(x87132,x87131,x87133,f234(f932(x87132,a921)))+E(f862(f862(f3(f932(x87131,a921)),f862(f302(x87132,x87131,x87133),x87134)),f862(f302(x87132,x87131,x87133),x87135)),f862(f302(x87132,x87131,x87133),f862(f862(f3(f932(x87132,a921)),x87134),x87135))) % 186.59/186.35 [8782]~P1(f862(f862(f60(x87821,x87822,x87825),x87823),x87824))+P1(f862(f862(f321(f931(x87821,x87822)),f862(f862(f244(x87821,x87822),x87823),x87824)),x87825)) % 186.59/186.35 [8814]P1(f862(f862(f321(x88141),x88142),f862(f275(x88143,x88141),x88144)))+~P1(f862(f862(f321(f931(x88143,x88141)),f862(f862(f244(x88143,x88141),x88145),x88142)),x88144)) % 186.59/186.35 [8816]P1(f862(f862(f321(x88161),x88162),f862(f256(x88161,x88163),x88164)))+~P1(f862(f862(f321(f931(x88161,x88163)),f862(f862(f244(x88161,x88163),x88162),x88165)),x88164)) % 186.59/186.35 [8964]P1(f862(f862(f60(x89641,x89642,x89643),x89644),x89645))+~P1(f862(f862(f321(f931(x89641,x89642)),f862(f862(f244(x89641,x89642),x89644),x89645)),x89643)) % 186.59/186.35 [9003]E(f862(x90031,x90032),x90033)+~P1(f862(f862(f321(x90034),x90032),f862(f303(x90034,x90035,x90031),f862(f862(f301(x90035),x90033),f181(f932(x90035,a921)))))) % 186.59/186.35 [9233]P1(f862(f862(f321(f931(x92331,x92332)),f862(f862(f244(x92331,x92332),x92333),x92334)),f862(f277(x92332,x92331),x92335)))+~P1(f862(f862(f321(f931(x92332,x92331)),f862(f862(f244(x92332,x92331),x92334),x92333)),x92335)) % 186.59/186.35 [9251]~P1(f862(f862(x92511,x92515),x92514))+P1(f862(f862(x92511,f862(f248(x92512,x92513),f862(f862(f244(x92512,x92513),x92514),x92515))),f862(f243(x92512,x92513),f862(f862(f244(x92512,x92513),x92514),x92515)))) % 186.59/186.35 [9281]~P1(f862(f862(f321(f931(x92812,x92811)),f862(f862(f244(x92812,x92811),x92814),x92813)),f862(f277(x92811,x92812),x92815)))+P1(f862(f862(f321(f931(x92811,x92812)),f862(f862(f244(x92811,x92812),x92813),x92814)),x92815)) % 186.59/186.35 [9314]~P1(f862(f862(f321(f931(x93143,x93141)),f862(f862(f244(x93143,x93141),x93145),x93142)),x93144))+P1(f862(f862(f321(x93141),x93142),f862(f276(x93143,x93141,x93144),f862(f862(f301(x93143),x93145),f181(f932(x93143,a921)))))) % 186.59/186.35 [9362]P1(f862(f862(f321(f931(x93621,x93622)),f862(f862(f244(x93621,x93622),x93623),x93624)),x93625))+~P1(f862(f862(f321(x93622),x93624),f862(f276(x93621,x93622,x93625),f862(f862(f301(x93621),x93623),f181(f932(x93621,a921)))))) % 186.59/186.35 [9452]~P72(x94521)+E(f862(f862(f8(a924,x94521),x94522),f296(a924,f862(f862(f73(a924),x94523),x94524),f862(f862(f73(a924),x94525),x94524))),f862(f862(f8(a924,x94521),f862(f862(f10(a924,x94521,a924),x94522),f862(f862(f9(a924,a924,a924),f73(a924)),x94524))),f296(a924,x94523,x94525))) % 186.59/186.35 [9471]~P72(x94711)+E(f862(f862(f8(a924,x94711),x94712),f862(f295(a924,f862(f862(f73(a924),x94713),x94714)),f862(f862(f73(a924),x94715),x94714))),f862(f862(f8(a924,x94711),f862(f862(f10(a924,x94711,a924),x94712),f862(f862(f9(a924,a924,a924),f73(a924)),x94714))),f862(f295(a924,x94713),x94715))) % 186.59/186.35 [9529]~P22(x95291,x95292,x95293,f234(f932(x95291,a921)))+E(f862(f862(f147(x95291,x95292),x95293),f862(f129(x95291,f862(f862(f10(a921,a921,x95291),a314),f862(a317,x95294))),x95295)),f862(f129(x95292,f862(f862(f10(a921,a921,x95292),a314),f862(a317,f862(x95293,x95294)))),f862(f862(f147(x95291,x95292),x95293),x95295))) % 186.59/186.35 [9548]~P22(x95481,x95482,x95483,f862(f862(f301(x95481),x95484),f862(f165(x95481),x95485)))+E(f862(f862(f147(x95481,x95482),x95483),f862(f129(x95481,f862(f862(f10(a921,a921,x95481),a314),f862(a317,x95484))),x95485)),f862(f129(x95482,f862(f862(f10(a921,a921,x95482),a314),f862(a317,f862(x95483,x95484)))),f862(f862(f147(x95481,x95482),x95483),x95485))) % 186.59/186.35 [9717]P1(f862(f862(f321(f931(f925(x97171),f925(x97171))),f862(f862(f244(f925(x97171),f925(x97171)),f862(f862(f144(x97171),x97172),x97173)),f862(f862(f144(x97171),x97174),x97173))),f150(x97171,x97175)))+~P1(f862(f862(f321(f931(x97171,x97171)),f862(f862(f244(x97171,x97171),x97172),x97174)),x97175)) % 186.59/186.35 [9837]E(f862(f862(f301(x98371),f832(x98372,x98373,x98374,x98375,x98371)),f838(x98372,x98373,x98374,x98375,x98371)),f862(f862(f301(x98371),x98374),x98373))+~P1(f862(f55(x98371,x98375,f862(f862(f301(x98371),x98374),x98373)),x98372)) % 186.59/186.35 [9838]E(f862(f862(f301(x98381),f846(x98382,x98383,x98384,x98385,x98381)),f870(x98382,x98383,x98384,x98385,x98381)),f862(f862(f301(x98381),x98384),x98383))+~P1(f862(f55(x98381,x98385,f862(f862(f301(x98381),x98384),x98383)),x98382)) % 186.59/186.35 [9920]P1(f862(f862(f321(x99201),f491(x99202,x99203,x99204,x99205,x99201)),x99204))+P1(f862(f862(f862(f32(x99201,f932(x99205,a921)),x99204),x99203),x99202)) % 186.59/186.35 [9925]P1(f862(f862(f321(x99251),f483(x99252,x99253,x99251,x99254,x99255)),x99253))+P1(f862(f862(f321(x99255),x99254),f862(f862(f32(x99251,f932(x99255,a921)),x99253),x99252))) % 186.59/186.35 [9933]P1(f862(f862(f321(x99331),f482(x99332,x99333,x99331,x99334,x99335)),x99333))+P1(f862(f862(f227(f932(x99335,a921)),x99334),f862(f862(f32(x99331,f932(x99335,a921)),x99333),x99332))) % 186.59/186.35 [9934]P1(f862(f862(f321(x99341),f839(x99342,x99343,x99344,x99345,x99341)),x99345))+P1(f862(f862(f227(f932(x99344,a921)),x99343),f862(f862(f32(x99341,f932(x99344,a921)),x99345),x99342))) % 186.59/186.35 [9936]P1(f862(f862(x99361,f488(x99362,x99361,x99363,x99364,x99365)),x99362))+~P1(f862(f862(f862(f33(x99365,f932(x99364,a921)),x99363),x99361),x99362)) % 186.59/186.35 [9940]P1(f862(f862(f321(x99401),f488(x99402,x99403,x99404,x99405,x99401)),x99404))+~P1(f862(f862(f862(f33(x99401,f932(x99405,a921)),x99404),x99403),x99402)) % 186.59/186.35 [9941]P50(x99414,f862(f862(f32(x99411,f932(x99414,a921)),x99415),x99413),f862(f862(f32(x99411,f932(f931(x99414,x99414),a921)),x99415),x99412))+P1(f862(f862(f321(x99411),f781(x99412,x99413,x99414,x99415,x99411)),x99415)) % 186.59/186.35 [9942]P50(x99424,f862(f862(f33(x99421,f932(x99424,a921)),x99425),x99423),f862(f862(f33(x99421,f932(f931(x99424,x99424),a921)),x99425),x99422))+P1(f862(f862(f321(x99421),f831(x99422,x99423,x99424,x99425,x99421)),x99425)) % 186.59/186.35 [9952]P1(f862(f862(f321(x99521),f484(x99522,x99523,x99521,x99524,x99525)),x99523))+~P1(f862(f862(f321(x99525),x99524),f862(f862(f33(x99521,f932(x99525,a921)),x99523),x99522))) % 186.59/186.35 [9958]P1(f862(f862(f321(x99581),x99582),f862(x99583,f484(x99583,x99584,x99585,x99582,x99581))))+~P1(f862(f862(f321(x99581),x99582),f862(f862(f33(x99585,f932(x99581,a921)),x99584),x99583))) % 186.59/186.35 [10041]~P1(f862(f862(x100414,f491(x100415,x100414,x100413,x100412,x100411)),x100415))+P1(f862(f862(f862(f32(x100411,f932(x100412,a921)),x100413),x100414),x100415)) % 186.59/186.35 [10044]~P1(f862(f862(f321(x100441),x100442),f862(x100445,f483(x100445,x100444,x100443,x100442,x100441))))+P1(f862(f862(f321(x100441),x100442),f862(f862(f32(x100443,f932(x100441,a921)),x100444),x100445))) % 186.59/186.35 [10048]~P50(x100481,f862(x100484,f781(x100485,x100484,x100481,x100483,x100482)),f862(x100485,f781(x100485,x100484,x100481,x100483,x100482)))+P50(x100481,f862(f862(f32(x100482,f932(x100481,a921)),x100483),x100484),f862(f862(f32(x100482,f932(f931(x100481,x100481),a921)),x100483),x100485)) % 186.59/186.35 [10049]~P50(x100491,f862(x100494,f831(x100495,x100494,x100491,x100493,x100492)),f862(x100495,f831(x100495,x100494,x100491,x100493,x100492)))+P50(x100491,f862(f862(f33(x100492,f932(x100491,a921)),x100493),x100494),f862(f862(f33(x100492,f932(f931(x100491,x100491),a921)),x100493),x100495)) % 186.59/186.35 [10050]~P1(f862(f862(f227(f932(x100501,a921)),x100502),f862(x100505,f482(x100505,x100504,x100503,x100502,x100501))))+P1(f862(f862(f227(f932(x100501,a921)),x100502),f862(f862(f32(x100503,f932(x100501,a921)),x100504),x100505))) % 186.59/186.35 [10051]~P1(f862(f862(f227(f932(x100511,a921)),x100512),f862(x100515,f839(x100515,x100512,x100511,x100514,x100513))))+P1(f862(f862(f227(f932(x100511,a921)),x100512),f862(f862(f32(x100513,f932(x100511,a921)),x100514),x100515))) % 186.59/186.35 [10119]~P1(f862(f862(f321(x101191),f832(x101195,x101194,x101193,x101192,x101191)),f838(x101195,x101194,x101193,x101192,x101191)))+~P1(f862(f55(x101191,x101192,f862(f862(f301(x101191),x101193),x101194)),x101195)) % 186.59/186.35 [10120]~P1(f862(f862(f321(x101201),f846(x101205,x101204,x101203,x101202,x101201)),f870(x101205,x101204,x101203,x101202,x101201)))+~P1(f862(f55(x101201,x101202,f862(f862(f301(x101201),x101203),x101204)),x101205)) % 186.59/186.35 [10121]~P1(f862(f862(f321(f931(x101211,x101211)),f862(f862(f244(x101211,x101211),x101212),x101215)),f862(f862(f176(f931(x101211,x101211),a921),f862(a105,x101214)),x101213)))+P1(f862(f862(f321(f931(x101211,x101211)),f862(f862(f244(x101211,x101211),x101212),f644(x101213,x101214,x101215,x101212,x101211))),f862(f862(f176(f931(x101211,x101211),a921),x101214),x101213))) % 186.59/186.35 [10127]P1(f862(f59(x101271,x101271,x101272,f832(x101273,x101274,x101275,x101272,x101271),f838(x101273,x101274,x101275,x101272,x101271)),x101273))+~P1(f862(f55(x101271,x101272,f862(f862(f301(x101271),x101275),x101274)),x101273)) % 186.59/186.35 [10128]P1(f862(f59(x101281,x101281,x101282,f846(x101283,x101284,x101285,x101282,x101281),f870(x101283,x101284,x101285,x101282,x101281)),x101283))+~P1(f862(f55(x101281,x101282,f862(f862(f301(x101281),x101285),x101284)),x101283)) % 186.59/186.35 [10138]~P109(x101381)+P11(x101381,f862(f862(f147(x101382,x101381),x101383),f862(f129(x101382,f862(f862(f9(x101382,x101381,a921),f862(f862(f10(x101381,f932(x101381,a921),x101382),a317),x101383)),f862(x101384,x101385))),x101385))) % 186.59/186.35 [10189]~P1(f862(f862(f321(x101892),x101895),f862(f276(x101891,x101892,x101894),x101893)))+P1(f862(f862(f321(f931(x101891,x101892)),f862(f862(f244(x101891,x101892),f521(x101893,x101894,x101891,x101895,x101892)),x101895)),x101894)) % 186.59/186.35 [10190]~P1(f862(f862(f321(x101902),x101905),f862(f276(x101901,x101902,x101904),x101903)))+P1(f862(f862(f321(f931(x101901,x101902)),f862(f862(f244(x101901,x101902),f526(x101903,x101904,x101901,x101905,x101902)),x101905)),x101904)) % 186.59/186.35 [10210]~P1(f862(f862(f321(f931(x102101,x102101)),f862(f862(f244(x102101,x102101),x102105),x102104)),f862(f862(f176(f931(x102101,x102101),a921),f862(a105,x102103)),x102102)))+P1(f862(f862(f321(f931(x102101,x102101)),f862(f862(f244(x102101,x102101),f644(x102102,x102103,x102104,x102105,x102101)),x102104)),x102102)) % 186.59/186.35 [10213]~P1(f862(f862(f321(f931(x102131,x102131)),f862(f862(f244(x102131,x102131),x102135),x102134)),f862(f862(f176(f931(x102131,x102131),a921),f862(a105,x102133)),x102132)))+P1(f862(f862(f321(f931(x102131,x102131)),f862(f862(f244(x102131,x102131),f642(x102132,x102133,x102134,x102135,x102131)),x102134)),f862(f862(f176(f931(x102131,x102131),a921),x102133),x102132))) % 186.59/186.35 [10214]~P1(f862(f862(f321(f931(x102141,x102141)),f862(f862(f244(x102141,x102141),x102145),x102144)),f862(f862(f176(f931(x102141,x102141),a921),f862(a105,x102143)),x102142)))+P1(f862(f862(f321(f931(x102141,x102141)),f862(f862(f244(x102141,x102141),f643(x102142,x102143,x102144,x102145,x102141)),x102144)),f862(f862(f176(f931(x102141,x102141),a921),x102143),x102142))) % 186.59/186.35 [10215]~P1(f862(f862(f321(f931(f925(x102151),f925(x102151))),f862(f862(f244(f925(x102151),f925(x102151)),x102155),f862(f862(f144(x102151),x102154),x102153))),f151(x102151,x102152)))+P1(f862(f862(f321(f931(x102151,x102151)),f862(f862(f244(x102151,x102151),f660(x102152,x102153,x102154,x102155,x102151)),x102154)),x102152)) % 186.59/186.35 [7776]~E(x77763,f181(f932(x77762,a921)))+E(f862(f862(f103(f932(x77761,a921)),f862(f862(f33(x77762,f932(x77761,a921)),x77763),x77764)),x77765),x77765) % 186.59/186.35 [7777]~E(x77773,f181(f932(x77772,a921)))+E(f862(f862(f94(f932(x77771,a921)),f862(f862(f32(x77772,f932(x77771,a921)),x77773),x77774)),x77775),x77775) % 186.59/186.35 [8207]~E(x82073,f181(f932(x82072,a921)))+E(f862(f862(f3(f932(x82071,a921)),f862(f862(f32(x82072,f932(x82071,a921)),x82073),x82074)),x82075),f862(f862(f3(f932(x82071,a921)),f234(f932(x82071,a921))),x82075)) % 186.59/186.35 [8341]E(f862(f862(f152(x83411,f862(f862(f127(x83411),x83412),x83413)),x83414),x83415),f862(f862(f127(x83411),f862(f862(f152(x83411,x83412),x83414),x83415)),x83413))+~P1(f862(f862(f228(a924),x83414),f862(f182(f925(x83411)),x83412))) % 186.59/186.35 [8611]E(f862(f862(f157(x86111),f862(f862(f147(a924,x86111),x86112),f132(a924,f862(f295(a924,x86113),x86114)))),x86115),f862(x86112,f862(f862(f73(a924),x86113),x86115)))+~P1(f862(f862(f228(a924),x86115),f862(f862(f3(a924),x86114),x86113))) % 186.59/186.35 [8625]E(x86251,f2(a92))+E(f115(x86252,x86253,f862(x86254,f862(f862(f3(a92),x86251),f71(a92))),f862(f862(f9(x86252,a92,f926(f928(x86253))),x86255),x86251)),f862(f189(x86252,x86253,x86254,x86255),x86251)) % 186.59/186.35 [8650]~E(x86503,f181(f932(x86501,a921)))+E(f862(f862(f32(x86501,f932(x86502,a921)),x86503),f862(f862(f10(f932(x86502,a921),f932(x86502,a921),x86501),f862(f94(f932(x86502,a921)),x86504)),x86505)),f234(f932(x86502,a921))) % 186.59/186.35 [8651]~E(x86513,f181(f932(x86511,a921)))+E(f862(f862(f32(x86511,f932(x86512,a921)),x86513),f862(f862(f10(f932(x86512,a921),f932(x86512,a921),x86511),f862(f3(f932(x86512,a921)),x86514)),x86515)),f234(f932(x86512,a921))) % 186.59/186.35 [8652]~E(x86523,f181(f932(x86521,a921)))+E(f862(f862(f33(x86521,f932(x86522,a921)),x86523),f862(f862(f10(f932(x86522,a921),f932(x86522,a921),x86521),f862(f103(f932(x86522,a921)),x86524)),x86525)),f181(f932(x86522,a921))) % 186.59/186.35 [8654]~P146(x86542)+E(f862(f862(f8(x86541,x86542),f862(f862(f10(x86542,x86542,x86541),f862(f74(x86542),x86543)),x86544)),x86545),f862(f862(f74(x86542),x86543),f862(f862(f8(x86541,x86542),x86544),x86545))) % 186.59/186.35 [8948]E(x89481,f181(f932(x89482,a921)))+E(f862(f862(f32(x89482,f932(x89483,a921)),x89481),f862(f862(f10(f932(x89483,a921),f932(x89483,a921),x89482),f862(f94(f932(x89483,a921)),x89484)),x89485)),f862(f862(f94(f932(x89483,a921)),x89484),f862(f862(f32(x89482,f932(x89483,a921)),x89481),x89485))) % 186.59/186.35 [8949]E(x89491,f181(f932(x89492,a921)))+E(f862(f862(f32(x89492,f932(x89493,a921)),x89491),f862(f862(f10(f932(x89493,a921),f932(x89493,a921),x89492),f862(f3(f932(x89493,a921)),x89494)),x89495)),f862(f862(f3(f932(x89493,a921)),x89494),f862(f862(f33(x89492,f932(x89493,a921)),x89491),x89495))) % 186.59/186.35 [8950]E(x89501,f181(f932(x89502,a921)))+E(f862(f862(f33(x89502,f932(x89503,a921)),x89501),f862(f862(f10(f932(x89503,a921),f932(x89503,a921),x89502),f862(f103(f932(x89503,a921)),x89504)),x89505)),f862(f862(f103(f932(x89503,a921)),x89504),f862(f862(f33(x89502,f932(x89503,a921)),x89501),x89505))) % 186.59/186.35 [9151]~P1(f862(f862(f228(a924),f862(x91514,x91512)),f862(x91514,x91513)))+P1(f862(f862(f321(f931(x91511,x91511)),f862(f862(f244(x91511,x91511),x91512),x91513)),f146(x91511,f862(f862(f144(f932(x91511,a924)),x91514),x91515)))) % 186.59/186.35 [9417]~P22(x94172,x94171,x94173,f862(f862(f103(f932(x94172,a921)),x94174),x94175))+E(f862(f862(f94(f932(x94171,a921)),f862(f302(x94172,x94171,x94173),f862(f862(f3(f932(x94172,a921)),x94174),x94175))),f862(f302(x94172,x94171,x94173),f862(f862(f3(f932(x94172,a921)),x94175),x94174))),f181(f932(x94171,a921))) % 186.59/186.35 [9679]~P22(x96793,x96791,x96795,f234(f932(x96793,a921)))+E(f862(f66(x96791,x96792,x96793,f862(f66(x96793,x96792,x96791,x96794),f86(x96793,x96791,f234(f932(x96793,a921)),x96795))),x96795),x96794) % 186.59/186.35 [9713]~P1(f862(f862(f227(f932(x97133,a921)),f862(f276(x97131,x97133,x97134),x97132)),x97135))+P1(f862(f862(f227(f932(x97131,a921)),x97132),f862(f72(f932(x97131,a921)),f862(f276(x97133,x97131,f862(f277(x97131,x97133),x97134)),f862(f72(f932(x97133,a921)),x97135))))) % 186.59/186.35 [9738]~P22(x97381,x97382,x97383,f862(f862(f301(x97381),x97384),x97385))+~P1(f862(f862(f321(x97382),f862(x97383,x97384)),f862(f302(x97381,x97382,x97383),f862(f862(f3(f932(x97381,a921)),x97385),f862(f862(f301(x97381),x97384),f181(f932(x97381,a921))))))) % 186.59/186.35 [9791]P1(f862(f862(f227(f932(x97911,a921)),f862(f276(x97912,x97911,x97913),x97914)),x97915))+~P1(f862(f862(f227(f932(x97912,a921)),x97914),f862(f72(f932(x97912,a921)),f862(f276(x97911,x97912,f862(f277(x97912,x97911),x97913)),f862(f72(f932(x97911,a921)),x97915))))) % 186.59/186.35 [9864]~P86(x98641)+P1(f862(f862(f227(x98641),f862(f69(x98641),f862(f862(f3(x98641),f862(f862(f73(x98641),x98642),x98643)),f862(f862(f73(x98641),x98644),x98645)))),f862(f862(f73(x98641),f862(f69(x98641),f862(f862(f3(x98641),x98642),x98644))),f862(f69(x98641),f862(f862(f3(x98641),x98643),x98645))))) % 186.59/186.35 [9973]P1(f862(f862(f321(x99731),f485(x99732,x99733,x99734,x99731,x99735)),x99734))+P1(f862(f862(f227(f932(x99735,a921)),f862(f862(f33(x99731,f932(x99735,a921)),x99734),x99733)),x99732)) % 186.59/186.35 [10156]~P1(f862(f862(f227(f932(x101561,a921)),f862(x101564,f485(x101565,x101564,x101563,x101562,x101561))),x101565))+P1(f862(f862(f227(f932(x101561,a921)),f862(f862(f33(x101562,f932(x101561,a921)),x101563),x101564)),x101565)) % 186.59/186.35 [8761]E(f862(f862(f127(x87611),x87612),f862(f862(f152(x87611,x87613),f862(f862(f3(a924),x87614),f862(f182(f925(x87611)),x87612))),x87615)),f862(f862(f152(x87611,f862(f862(f127(x87611),x87612),x87613)),x87614),x87615))+P1(f862(f862(f228(a924),x87614),f862(f182(f925(x87611)),x87612))) % 186.59/186.35 [8789]~P140(x87891)+E(f862(f862(f73(x87891),f862(f862(f74(x87891),x87892),x87893)),f862(f862(f73(x87891),f862(f862(f74(x87891),x87894),x87893)),x87895)),f862(f862(f73(x87891),f862(f862(f74(x87891),f862(f862(f73(x87891),x87892),x87894)),x87893)),x87895)) % 186.59/186.35 [9371]~P146(x93711)+E(f862(f158(x93711),f862(f862(f147(x93712,x93711),f862(f862(f10(x93711,x93711,x93712),f862(f74(x93711),x93713)),x93714)),x93715)),f862(f862(f74(x93711),x93713),f862(f158(x93711),f862(f862(f147(x93712,x93711),x93714),x93715)))) % 186.59/186.35 [9547]E(f862(f182(f925(x95471)),f862(f862(f168(x95471),f862(f862(f225(a924),f862(f182(f925(x95471)),x95472)),f862(f182(f925(x95473)),x95474))),x95472)),f862(f182(f925(x95473)),f862(f862(f168(x95473),f862(f862(f225(a924),f862(f182(f925(x95471)),x95472)),f862(f182(f925(x95473)),x95474))),x95474)))+P1(f862(x95475,f862(f862(f174(x95471,x95473),x95472),x95474))) % 186.59/186.35 [9801]~P146(x98012)+E(f862(f862(f8(x98011,x98012),f862(f862(f9(x98011,x98012,x98012),f862(f862(f10(x98012,f932(x98012,x98012),x98011),f74(x98012)),x98013)),x98014)),x98015),f862(f862(f74(x98012),f862(f862(f8(x98011,x98012),x98013),x98015)),x98014)) % 186.59/186.35 [9802]~P65(x98022)+E(f862(f862(f8(x98021,x98022),f862(f862(f9(x98021,x98022,x98022),f862(f862(f10(x98022,f932(x98022,x98022),x98021),f282(x98022)),x98023)),x98024)),x98025),f862(f862(f282(x98022),f862(f862(f8(x98021,x98022),x98023),x98025)),x98024)) % 186.59/186.35 [9809]~P59(x98092)+E(f862(f862(f8(x98091,x98092),f862(f862(f20(x98091,x98092,x98092),f862(f862(f10(x98092,f932(x98092,x98092),x98091),f3(x98092)),x98093)),x98094)),x98095),f862(f862(f3(x98092),f862(f862(f8(x98091,x98092),x98093),x98095)),f862(f862(f8(x98091,x98092),x98094),x98095))) % 186.59/186.35 [9810]~P72(x98102)+E(f862(f862(f8(x98101,x98102),f862(f862(f20(x98101,x98102,x98102),f862(f862(f10(x98102,f932(x98102,x98102),x98101),f73(x98102)),x98103)),x98104)),x98105),f862(f862(f73(x98102),f862(f862(f8(x98101,x98102),x98103),x98105)),f862(f862(f8(x98101,x98102),x98104),x98105))) % 186.59/186.35 [9811]~P71(x98112)+E(f862(f862(f11(x98111,x98112),f862(f862(f20(x98111,x98112,x98112),f862(f862(f10(x98112,f932(x98112,x98112),x98111),f74(x98112)),x98113)),x98114)),x98115),f862(f862(f74(x98112),f862(f862(f11(x98111,x98112),x98113),x98115)),f862(f862(f11(x98111,x98112),x98114),x98115))) % 186.59/186.35 [9849]~E(x98493,f181(f932(x98491,a921)))+E(f862(f862(f32(x98491,f932(x98492,a921)),x98493),f862(f862(f9(x98491,f932(x98492,a921),f932(x98492,a921)),f862(f862(f10(f932(x98492,a921),f932(f932(x98492,a921),f932(x98492,a921)),x98491),f94(f932(x98492,a921))),x98494)),x98495)),f234(f932(x98492,a921))) % 186.59/186.35 [9850]~E(x98503,f181(f932(x98501,a921)))+E(f862(f862(f32(x98501,f932(x98502,a921)),x98503),f862(f862(f9(x98501,f932(x98502,a921),f932(x98502,a921)),f862(f862(f10(f932(x98502,a921),f932(f932(x98502,a921),f932(x98502,a921)),x98501),f3(f932(x98502,a921))),x98504)),x98505)),f234(f932(x98502,a921))) % 186.59/186.35 [9851]~E(x98513,f181(f932(x98511,a921)))+E(f862(f862(f33(x98511,f932(x98512,a921)),x98513),f862(f862(f9(x98511,f932(x98512,a921),f932(x98512,a921)),f862(f862(f10(f932(x98512,a921),f932(f932(x98512,a921),f932(x98512,a921)),x98511),f103(f932(x98512,a921))),x98514)),x98515)),f181(f932(x98512,a921))) % 186.59/186.35 [9872]E(x98721,f181(f932(x98722,a921)))+E(f862(f862(f32(x98722,f932(x98723,a921)),x98721),f862(f862(f9(x98722,f932(x98723,a921),f932(x98723,a921)),f862(f862(f10(f932(x98723,a921),f932(f932(x98723,a921),f932(x98723,a921)),x98722),f94(f932(x98723,a921))),x98724)),x98725)),f862(f862(f94(f932(x98723,a921)),f862(f862(f32(x98722,f932(x98723,a921)),x98721),x98724)),x98725)) % 186.59/186.35 [9873]E(x98731,f181(f932(x98732,a921)))+E(f862(f862(f32(x98732,f932(x98733,a921)),x98731),f862(f862(f9(x98732,f932(x98733,a921),f932(x98733,a921)),f862(f862(f10(f932(x98733,a921),f932(f932(x98733,a921),f932(x98733,a921)),x98732),f3(f932(x98733,a921))),x98734)),x98735)),f862(f862(f3(f932(x98733,a921)),f862(f862(f32(x98732,f932(x98733,a921)),x98731),x98734)),x98735)) % 186.59/186.35 [9874]E(x98741,f181(f932(x98742,a921)))+E(f862(f862(f33(x98742,f932(x98743,a921)),x98741),f862(f862(f9(x98742,f932(x98743,a921),f932(x98743,a921)),f862(f862(f10(f932(x98743,a921),f932(f932(x98743,a921),f932(x98743,a921)),x98742),f103(f932(x98743,a921))),x98744)),x98745)),f862(f862(f103(f932(x98743,a921)),f862(f862(f33(x98742,f932(x98743,a921)),x98741),x98744)),x98745)) % 186.59/186.35 [9422]~P1(f862(f862(f227(a924),x94221),x94224))+E(f862(f862(f3(a924),f862(f862(f73(a924),f862(f862(f74(a924),x94221),x94222)),x94223)),f862(f862(f73(a924),f862(f862(f74(a924),x94224),x94222)),x94225)),f862(f862(f3(a924),x94223),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x94224),x94221)),x94222)),x94225))) % 186.59/186.35 [10024]~P146(x100241)+E(f862(f158(x100241),f862(f862(f147(x100242,x100241),f862(f862(f9(x100242,x100241,x100241),f862(f862(f10(x100241,f932(x100241,x100241),x100242),f74(x100241)),x100243)),x100244)),x100245)),f862(f862(f74(x100241),f862(f158(x100241),f862(f862(f147(x100242,x100241),x100243),x100245))),x100244)) % 186.59/186.35 [10030]~P59(x100301)+E(f862(f158(x100301),f862(f862(f147(x100302,x100301),f862(f862(f20(x100302,x100301,x100301),f862(f862(f10(x100301,f932(x100301,x100301),x100302),f3(x100301)),x100303)),x100304)),x100305)),f862(f862(f3(x100301),f862(f158(x100301),f862(f862(f147(x100302,x100301),x100303),x100305))),f862(f158(x100301),f862(f862(f147(x100302,x100301),x100304),x100305)))) % 186.59/186.35 [10031]~P72(x100311)+E(f862(f158(x100311),f862(f862(f147(x100312,x100311),f862(f862(f20(x100312,x100311,x100311),f862(f862(f10(x100311,f932(x100311,x100311),x100312),f73(x100311)),x100313)),x100314)),x100315)),f862(f862(f73(x100311),f862(f158(x100311),f862(f862(f147(x100312,x100311),x100313),x100315))),f862(f158(x100311),f862(f862(f147(x100312,x100311),x100314),x100315)))) % 186.59/186.35 [10180]P1(f862(x101801,f862(f862(f174(x101802,x101803),x101804),x101805)))+~P1(f862(x101801,f862(f862(f174(x101802,x101803),f862(f862(f168(x101802),f862(f862(f225(a924),f862(f182(f925(x101802)),x101804)),f862(f182(f925(x101803)),x101805))),x101804)),f862(f862(f168(x101803),f862(f862(f225(a924),f862(f182(f925(x101802)),x101804)),f862(f182(f925(x101803)),x101805))),x101805)))) % 186.59/186.35 [10439]~P1(f862(f862(f321(f931(x104392,x104391)),f862(f862(f244(x104392,x104391),x104394),x104395)),f862(f277(x104391,x104392),x104393)))+P1(f862(f862(f235(x104391,x104392,f862(f862(f9(x104391,f932(f931(x104391,x104392),a921),f932(x104392,a921)),f862(f862(f10(f932(x104392,f932(f932(f931(x104391,x104392),a921),a921)),f932(f932(f931(x104391,x104392),a921),f932(x104392,a921)),x104391),f9(x104392,f932(f931(x104391,x104392),a921),a921)),f862(f862(f10(f932(x104392,f931(x104391,x104392)),f932(x104392,f932(f932(f931(x104391,x104392),a921),a921)),x104391),f862(f10(f931(x104391,x104392),f932(f932(f931(x104391,x104392),a921),a921),x104392),f321(f931(x104391,x104392)))),f244(x104391,x104392)))),x104393)),x104394),x104395)) % 186.59/186.35 [10449]P1(f862(f862(f321(f931(x104491,x104492)),f862(f862(f244(x104491,x104492),x104493),x104494)),f862(f277(x104492,x104491),x104495)))+~P1(f862(f862(f235(x104492,x104491,f862(f862(f9(x104492,f932(f931(x104492,x104491),a921),f932(x104491,a921)),f862(f862(f10(f932(x104491,f932(f932(f931(x104492,x104491),a921),a921)),f932(f932(f931(x104492,x104491),a921),f932(x104491,a921)),x104492),f9(x104491,f932(f931(x104492,x104491),a921),a921)),f862(f862(f10(f932(x104491,f931(x104492,x104491)),f932(x104491,f932(f932(f931(x104492,x104491),a921),a921)),x104492),f862(f10(f931(x104492,x104491),f932(f932(f931(x104492,x104491),a921),a921),x104491),f321(f931(x104492,x104491)))),f244(x104492,x104491)))),x104495)),x104493),x104494)) % 186.59/186.35 [9678]~P1(f862(f862(f227(a924),x96784),x96781))+E(f862(f862(f3(a924),f862(f862(f73(a924),f862(f862(f74(a924),x96781),x96782)),x96783)),f862(f862(f73(a924),f862(f862(f74(a924),x96784),x96782)),x96785)),f862(f862(f3(a924),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x96781),x96784)),x96782)),x96783)),x96785)) % 186.59/186.35 [7473]E(x74731,x74732)+~E(f213(x74733,x74734,x74735,x74731),f213(x74733,x74734,x74736,x74732)) % 186.59/186.35 [7474]E(x74741,x74742)+~E(f213(x74743,x74744,x74741,x74745),f213(x74743,x74744,x74742,x74746)) % 186.59/186.35 [8595]~P17(x85955,x85951,x85952,x85956)+E(f862(f66(x85951,x85951,x85951,f862(x85952,x85953)),f862(x85952,x85954)),f862(f66(x85951,x85951,x85951,f862(x85952,x85954)),f862(x85952,x85953))) % 186.59/186.35 [8833]~P54(x88334,x88335,x88332,x88331,x88336)+E(f862(x88331,f862(x88332,x88333)),x88333) % 186.59/186.35 [9001]P22(x90011,x90012,x90013,x90014)+~P22(x90011,x90015,f862(f66(x90012,x90015,x90011,x90016),x90013),x90014) % 186.59/186.35 [9076]~E(x90766,x90764)+E(f862(f68(x90761,x90762,x90763,x90764,x90765),x90766),x90765) % 186.59/186.35 [9082]E(x90821,x90822)+E(f862(f68(x90823,x90824,x90825,x90822,x90826),x90821),f862(x90825,x90821)) % 186.59/186.35 [9094]~P22(x90944,x90942,f862(f66(x90941,x90942,x90944,x90943),x90945),x90946)+P22(x90941,x90942,x90943,f862(f302(x90944,x90941,x90945),x90946)) % 186.59/186.35 [9537]~P54(x95376,x95375,x95374,x95371,x95373)+E(f862(x95371,f884(x95372,x95373,x95371,x95374,x95375)),x95372) % 186.59/186.35 [9812]P1(f862(f54(x98121),x98122))+~P1(f862(f59(x98121,x98123,x98124,x98125,x98122),x98126)) % 186.59/186.35 [9821]~P1(f862(f862(f321(x98214),x98213),f291(x98214,x98215,x98211,x98212,x98216)))+P1(f862(f862(x98211,x98212),x98213)) % 186.59/186.35 [9822]~P1(f862(f862(f321(x98224),x98223),f288(x98224,x98221,x98225,x98222,x98226)))+P1(f862(f862(x98221,x98222),x98223)) % 186.59/186.35 [9823]~P1(f862(f862(f321(x98234),x98232),f291(x98234,x98231,x98235,x98236,x98233)))+P1(f862(f862(x98231,x98232),x98233)) % 186.59/186.35 [9824]~P1(f862(f862(f321(x98244),x98242),f288(x98244,x98245,x98241,x98246,x98243)))+P1(f862(f862(x98241,x98242),x98243)) % 186.59/186.35 [10332]P10(x103321,x103322,x103323,x103324,x103325,x103326)+~E(f862(f862(x103326,f847(x103323,x103326,x103325,x103322,x103324,x103321)),f857(x103323,x103326,x103325,x103322,x103324,x103321)),f862(f862(x103326,f848(x103323,x103326,x103325,x103322,x103324,x103321)),f856(x103323,x103326,x103325,x103322,x103324,x103321))) % 186.59/186.35 [5946]E(x59461,x59462)+~E(f862(f862(f244(x59463,x59464),x59465),x59461),f862(f862(f244(x59463,x59464),x59466),x59462)) % 186.59/186.35 [5948]E(x59481,x59482)+~E(f862(f862(f244(x59483,x59484),x59481),x59485),f862(f862(f244(x59483,x59484),x59482),x59486)) % 186.59/186.35 [6084]~P14(x60845,x60846,x60841)+E(f862(f862(x60841,x60842),f862(f862(x60841,x60843),x60844)),f862(f862(x60841,x60843),f862(f862(x60841,x60842),x60844))) % 186.59/186.35 [7538]~P30(x75384,x75381,f862(f862(f144(x75384),x75382),x75385),f862(f862(f144(x75384),x75383),x75386))+P1(f862(f862(x75381,x75382),x75383)) % 186.59/186.35 [7894]P30(x78941,x78942,x78943,x78944)+~P30(x78941,x78942,f862(f862(f144(x78941),x78945),x78943),f862(f862(f144(x78941),x78946),x78944)) % 186.59/186.35 [8938]~P54(x89385,x89381,x89382,x89386,x89384)+P1(f862(f862(f321(x89381),f862(x89382,x89383)),x89384)) % 186.59/186.35 [9142]~E(x91423,f862(f862(f144(x91421),x91425),x91426))+P1(f862(f862(f321(f931(f925(x91421),f925(x91421))),f862(f862(f244(f925(x91421),f925(x91421)),x91422),f862(f862(f127(x91421),x91422),x91423))),f140(x91421,x91424))) % 186.59/186.35 [9377]~P32(x93771,x93772,x93773,x93775,x93776)+P32(x93771,x93772,x93773,f862(f862(f168(x93771),x93774),x93775),f862(f862(f168(x93772),x93774),x93776)) % 186.59/186.35 [9378]~P32(x93781,x93782,x93783,x93785,x93786)+P32(x93781,x93782,x93783,f862(f862(f131(x93781),x93784),x93785),f862(f862(f131(x93782),x93784),x93786)) % 186.59/186.35 [9642]E(f862(f302(x96421,x96422,f68(x96421,x96422,x96423,x96424,x96425)),x96426),f862(f302(x96421,x96422,x96423),x96426))+P1(f862(f862(f321(x96421),x96424),x96426)) % 186.59/186.35 [9645]E(f862(f862(f147(x96451,x96452),f68(x96451,x96452,x96453,x96454,x96455)),x96456),f862(f862(f147(x96451,x96452),x96453),x96456))+P1(f862(f862(f321(x96451),x96454),f862(f165(x96451),x96456))) % 186.59/186.35 [9884]~P21(x98844,x98842,x98845,x98843,x98846,x98841)+E(f862(x98841,f181(f932(x98842,a921))),x98843) % 186.59/186.35 [9974]~P54(x99746,x99741,x99745,x99744,x99743)+P1(f862(f862(f321(x99741),f884(x99742,x99743,x99744,x99745,x99741)),x99743)) % 186.59/186.35 [10122]~E(f862(x101224,f862(f243(x101221,x101223),x101225)),f862(x101226,f862(f243(x101221,x101223),x101225)))+E(f862(f250(x101221,x101222,x101223,x101223,x101224,f25(x101223)),x101225),f862(f250(x101221,x101222,x101223,x101223,x101226,f25(x101223)),x101225)) % 186.59/186.35 [10123]~E(f862(x101234,f862(f248(x101231,x101232),x101235)),f862(x101236,f862(f248(x101231,x101232),x101235)))+E(f862(f250(x101231,x101231,x101232,x101233,f25(x101231),x101234),x101235),f862(f250(x101231,x101231,x101232,x101233,f25(x101231),x101236),x101235)) % 186.59/186.35 [10176]~E(f862(f250(x101762,x101766,x101763,x101763,x101761,f25(x101763)),x101764),f862(f250(x101762,x101766,x101763,x101763,x101765,f25(x101763)),x101764))+E(f862(x101761,f862(f243(x101762,x101763),x101764)),f862(x101765,f862(f243(x101762,x101763),x101764))) % 186.59/186.35 [10177]~E(f862(f250(x101772,x101772,x101773,x101776,f25(x101772),x101771),x101774),f862(f250(x101772,x101772,x101773,x101776,f25(x101772),x101775),x101774))+E(f862(x101771,f862(f248(x101772,x101773),x101774)),f862(x101775,f862(f248(x101772,x101773),x101774))) % 186.59/186.35 [9043]P1(f862(f862(f321(x90431),x90432),x90433))+~P1(f862(f862(f321(f931(x90431,x90434)),f862(f862(f244(x90431,x90434),x90432),x90435)),f862(f862(f246(x90431,x90434),x90433),x90436))) % 186.59/186.35 [9059]P1(f862(f862(f321(x90591),x90592),f862(x90593,x90594)))+~P1(f862(f862(f321(f931(x90595,x90591)),f862(f862(f244(x90595,x90591),x90594),x90592)),f862(f862(f246(x90595,x90591),x90596),x90593))) % 186.59/186.35 [9496]P1(f862(f862(f321(f931(x94961,x94961)),f862(f862(f244(x94961,x94961),f862(x94962,x94963)),f862(x94962,x94964))),x94965))+~P1(f862(f862(f321(f931(x94966,x94966)),f862(f862(f244(x94966,x94966),x94963),x94964)),f862(f862(f279(x94961,x94966),x94965),x94962))) % 186.59/186.35 [9516]~P1(f862(f862(f321(f931(x95164,x95164)),f862(f862(f244(x95164,x95164),f862(x95166,x95162)),f862(x95166,x95163))),x95165))+P1(f862(f862(f321(f931(x95161,x95161)),f862(f862(f244(x95161,x95161),x95162),x95163)),f862(f862(f279(x95164,x95161),x95165),x95166))) % 186.59/186.35 [10179]E(f862(f862(f244(x101791,x101792),f652(x101793,x101794,x101795,x101796,x101792,x101791)),f653(x101793,x101794,x101795,x101796,x101792,x101791)),x101796)+~P1(f862(f862(f321(f931(x101791,x101792)),x101796),f862(f862(f280(x101791,x101795,x101792),x101794),x101793))) % 186.59/186.35 [10397]~P1(f862(f862(f321(f931(x103971,x103976)),x103975),f862(f862(f280(x103971,x103972,x103976),x103974),x103973)))+P1(f862(f862(f321(f931(x103971,x103972)),f862(f862(f244(x103971,x103972),f652(x103973,x103974,x103972,x103975,x103976,x103971)),f654(x103973,x103974,x103972,x103975,x103976,x103971))),x103974)) % 186.59/186.35 [10398]~P1(f862(f862(f321(f931(x103986,x103982)),x103985),f862(f862(f280(x103986,x103981,x103982),x103984),x103983)))+P1(f862(f862(f321(f931(x103981,x103982)),f862(f862(f244(x103981,x103982),f654(x103983,x103984,x103981,x103985,x103982,x103986)),f653(x103983,x103984,x103981,x103985,x103982,x103986))),x103983)) % 186.59/186.35 [10399]P10(x103991,x103992,x103993,x103994,x103995,x103996)+P1(f862(f862(f321(f931(x103992,x103992)),f862(f862(f244(x103992,x103992),f856(x103993,x103996,x103995,x103992,x103994,x103991)),f857(x103993,x103996,x103995,x103992,x103994,x103991))),x103995)) % 186.59/186.35 [10400]P10(x104001,x104002,x104003,x104004,x104005,x104006)+P1(f862(f862(f321(f931(x104001,x104001)),f862(f862(f244(x104001,x104001),f848(x104003,x104006,x104005,x104002,x104004,x104001)),f847(x104003,x104006,x104005,x104002,x104004,x104001))),x104004)) % 186.59/186.35 [7964]~P3(x79642)+E(f862(f862(f32(x79641,x79642),x79643),f862(f862(f9(x79641,x79644,x79642),x79645),x79646)),f862(f862(f862(f32(x79641,f932(x79644,x79642)),x79643),x79645),x79646)) % 186.59/186.35 [7965]~P3(x79652)+E(f862(f862(f33(x79651,x79652),x79653),f862(f862(f9(x79651,x79654,x79652),x79655),x79656)),f862(f862(f862(f33(x79651,f932(x79654,x79652)),x79653),x79655),x79656)) % 186.59/186.35 [8743]E(f862(f862(f33(x87431,f932(x87432,a921)),x87433),f862(f862(f10(f932(x87432,a921),f932(x87432,a921),x87431),f862(f301(x87432),x87434)),x87435)),f862(f862(f301(x87432),x87434),f862(f862(f33(x87431,f932(x87432,a921)),x87433),x87435)))+~P1(f862(f862(f321(x87431),x87436),x87433)) % 186.59/186.35 [9195]~P3(x91952)+E(f862(f862(f32(x91951,x91952),x91953),f862(f862(f10(f932(x91954,x91952),x91952,x91951),f862(f32(x91954,x91952),x91955)),f862(f9(x91954,x91951,x91952),x91956))),f862(f862(f32(x91954,x91952),x91955),f862(f862(f10(f932(x91951,x91952),x91952,x91954),f862(f32(x91951,x91952),x91953)),x91956))) % 186.59/186.35 [9196]~P3(x91962)+E(f862(f862(f33(x91961,x91962),x91963),f862(f862(f10(f932(x91964,x91962),x91962,x91961),f862(f33(x91964,x91962),x91965)),f862(f9(x91964,x91961,x91962),x91966))),f862(f862(f33(x91964,x91962),x91965),f862(f862(f10(f932(x91961,x91962),x91962,x91964),f862(f33(x91961,x91962),x91963)),x91966))) % 186.59/186.35 [9402]P1(f862(f862(f321(x94021),x94022),f862(f165(x94021),x94023)))+~P1(f862(f862(f321(f931(x94024,x94021)),f862(f862(f244(x94024,x94021),x94025),x94022)),f862(f165(f931(x94024,x94021)),f862(f862(f174(x94024,x94021),x94026),x94023)))) % 186.59/186.35 [9403]P1(f862(f862(f321(x94031),x94032),f862(f165(x94031),x94033)))+~P1(f862(f862(f321(f931(x94031,x94034)),f862(f862(f244(x94031,x94034),x94032),x94035)),f862(f165(f931(x94031,x94034)),f862(f862(f174(x94031,x94034),x94033),x94036)))) % 186.59/186.35 [9512]P1(f862(f862(f227(f932(x95121,a921)),f862(f276(x95122,x95121,x95123),x95124)),x95125))+~P1(f862(f862(f227(f932(f931(x95122,x95121),a921)),x95123),f862(f862(f246(x95122,x95121),x95126),f862(f18(f932(x95121,a921),x95122),x95125)))) % 186.59/186.35 [9517]~P23(x95174,x95172,x95175,f234(f932(x95174,a921)),f234(f932(x95172,a921)))+E(f862(f862(f32(x95171,f932(x95172,a921)),x95173),f862(f862(f10(f932(x95174,a921),f932(x95172,a921),x95171),f302(x95174,x95172,x95175)),x95176)),f862(f302(x95174,x95172,x95175),f862(f862(f32(x95171,f932(x95174,a921)),x95173),x95176))) % 186.59/186.35 [9716]P1(f862(f862(f321(f931(f925(x97161),f925(x97161))),f862(f862(f244(f925(x97161),f925(x97161)),f862(f862(f144(x97161),x97162),x97163)),f862(f862(f144(x97161),x97164),x97165))),f140(x97161,x97166)))+~P1(f862(f862(f321(f931(x97161,x97161)),f862(f862(f244(x97161,x97161),x97162),x97164)),x97166)) % 186.59/186.35 [10175]E(f862(f862(f244(x101751,x101752),f599(x101753,x101754,x101755,x101752,x101751,x101756)),f600(x101753,x101754,x101755,x101752,x101751,x101756)),x101756)+P1(f862(f862(f321(x101755),x101754),f862(f862(f249(x101751,x101752,f932(x101755,a921)),x101753),x101756))) % 186.59/186.35 [10181]E(f862(f862(f244(x101811,x101812),f601(x101813,x101814,x101812,x101811,x101815,x101816)),f604(x101813,x101814,x101812,x101811,x101815,x101816)),x101813)+~P1(f862(f862(f321(x101816),x101815),f862(f862(f249(x101811,x101812,f932(x101816,a921)),x101814),x101813))) % 186.59/186.35 [10345]P1(f862(f862(f321(x103451),x103452),f862(f862(x103453,f601(x103454,x103453,x103455,x103456,x103452,x103451)),f604(x103454,x103453,x103455,x103456,x103452,x103451))))+~P1(f862(f862(f321(x103451),x103452),f862(f862(f249(x103456,x103455,f932(x103451,a921)),x103453),x103454))) % 186.59/186.35 [10370]~P1(f862(f862(f321(x103701),x103702),f862(f862(x103705,f599(x103705,x103702,x103701,x103704,x103703,x103706)),f600(x103705,x103702,x103701,x103704,x103703,x103706))))+P1(f862(f862(f321(x103701),x103702),f862(f862(f249(x103703,x103704,f932(x103701,a921)),x103705),x103706))) % 186.59/186.35 [8642]E(x86421,x86422)+E(f862(f862(f152(x86423,f862(f862(f152(x86423,x86424),x86421),x86425)),x86422),x86426),f862(f862(f152(x86423,f862(f862(f152(x86423,x86424),x86422),x86426)),x86421),x86425)) % 186.59/186.35 [9776]~P1(f862(f862(f321(x97763),x97766),x97765))+E(f862(f862(f301(x97761),x97762),f862(f302(x97763,x97761,x97764),f862(f862(f3(f932(x97763,a921)),x97765),f862(f862(f301(x97763),x97766),f181(f932(x97763,a921)))))),f862(f302(x97763,x97761,f68(x97763,x97761,x97764,x97766,x97762)),x97765)) % 186.59/186.35 [9274]~P1(f862(f862(x92744,x92745),x92746))+P1(f862(f862(f862(f862(f103(f932(x92741,f932(x92742,a921))),x92743),x92744),x92745),x92746)) % 186.59/186.35 [9276]~P1(f862(f862(x92763,x92765),x92766))+P1(f862(f862(f862(f862(f103(f932(x92761,f932(x92762,a921))),x92763),x92764),x92765),x92766)) % 186.59/186.35 [9569]P1(f862(f862(x95691,x95692),x95693))+~P1(f862(f862(f862(f862(f94(f932(x95694,f932(x95695,a921))),x95696),x95691),x95692),x95693)) % 186.59/186.35 [9570]P1(f862(f862(x95701,x95702),x95703))+~P1(f862(f862(f862(f862(f94(f932(x95704,f932(x95705,a921))),x95701),x95706),x95702),x95703)) % 186.59/186.35 [10012]~P72(x100122)+E(f862(f862(f8(x100121,x100122),f862(f862(f9(x100121,f932(x100123,a921),x100122),f862(f862(f10(f932(x100123,x100122),f932(f932(x100123,a921),x100122),x100121),f8(x100123,x100122)),x100124)),x100125)),x100126),f862(f862(f8(f931(x100121,x100123),x100122),f862(f249(x100121,x100123,x100122),x100124)),f862(f862(f246(x100121,x100123),x100126),f862(f18(f932(x100123,a921),x100121),x100125)))) % 186.59/186.35 [10013]~P71(x100132)+E(f862(f862(f11(x100131,x100132),f862(f862(f9(x100131,f932(x100133,a921),x100132),f862(f862(f10(f932(x100133,x100132),f932(f932(x100133,a921),x100132),x100131),f11(x100133,x100132)),x100134)),x100135)),x100136),f862(f862(f11(f931(x100131,x100133),x100132),f862(f249(x100131,x100133,x100132),x100134)),f862(f862(f246(x100131,x100133),x100136),f862(f18(f932(x100133,a921),x100131),x100135)))) % 186.59/186.35 [10147]~P72(x101472)+E(f862(f862(f8(x101471,x101472),f862(f862(f9(x101471,f932(x101473,a921),x101472),f862(f862(f10(f932(x101473,x101472),f932(f932(x101473,a921),x101472),x101471),f8(x101473,x101472)),f862(f9(x101473,x101471,x101472),x101474))),x101475)),x101476),f862(f862(f8(x101473,x101472),f862(f862(f9(x101473,f932(x101471,a921),x101472),f862(f862(f10(f932(x101471,x101472),f932(f932(x101471,a921),x101472),x101473),f8(x101471,x101472)),x101474)),x101476)),x101475)) % 186.59/186.35 [10461]~P1(f862(f862(f321(f931(x104611,x104612)),f862(f862(f244(x104611,x104612),x104615),x104616)),f862(f862(f103(f932(f931(x104611,x104612),a921)),x104613),x104614)))+P1(f862(f862(f862(f862(f103(f932(x104611,f932(x104612,a921))),f862(f862(f9(x104611,f932(f931(x104611,x104612),a921),f932(x104612,a921)),f862(f862(f10(f932(x104612,f932(f932(f931(x104611,x104612),a921),a921)),f932(f932(f931(x104611,x104612),a921),f932(x104612,a921)),x104611),f9(x104612,f932(f931(x104611,x104612),a921),a921)),f862(f862(f10(f932(x104612,f931(x104611,x104612)),f932(x104612,f932(f932(f931(x104611,x104612),a921),a921)),x104611),f862(f10(f931(x104611,x104612),f932(f932(f931(x104611,x104612),a921),a921),x104612),f321(f931(x104611,x104612)))),f244(x104611,x104612)))),x104613)),f862(f862(f9(x104611,f932(f931(x104611,x104612),a921),f932(x104612,a921)),f862(f862(f10(f932(x104612,f932(f932(f931(x104611,x104612),a921),a921)),f932(f932(f931(x104611,x104612),a921),f932(x104612,a921)),x104611),f9(x104612,f932(f931(x104611,x104612),a921),a921)),f862(f862(f10(f932(x104612,f931(x104611,x104612)),f932(x104612,f932(f932(f931(x104611,x104612),a921),a921)),x104611),f862(f10(f931(x104611,x104612),f932(f932(f931(x104611,x104612),a921),a921),x104612),f321(f931(x104611,x104612)))),f244(x104611,x104612)))),x104614)),x104615),x104616)) % 186.59/186.35 [10462]~P1(f862(f862(f321(f931(x104621,x104622)),f862(f862(f244(x104621,x104622),x104625),x104626)),f862(f862(f94(f932(f931(x104621,x104622),a921)),x104623),x104624)))+P1(f862(f862(f862(f862(f94(f932(x104621,f932(x104622,a921))),f862(f862(f9(x104621,f932(f931(x104621,x104622),a921),f932(x104622,a921)),f862(f862(f10(f932(x104622,f932(f932(f931(x104621,x104622),a921),a921)),f932(f932(f931(x104621,x104622),a921),f932(x104622,a921)),x104621),f9(x104622,f932(f931(x104621,x104622),a921),a921)),f862(f862(f10(f932(x104622,f931(x104621,x104622)),f932(x104622,f932(f932(f931(x104621,x104622),a921),a921)),x104621),f862(f10(f931(x104621,x104622),f932(f932(f931(x104621,x104622),a921),a921),x104622),f321(f931(x104621,x104622)))),f244(x104621,x104622)))),x104623)),f862(f862(f9(x104621,f932(f931(x104621,x104622),a921),f932(x104622,a921)),f862(f862(f10(f932(x104622,f932(f932(f931(x104621,x104622),a921),a921)),f932(f932(f931(x104621,x104622),a921),f932(x104622,a921)),x104621),f9(x104622,f932(f931(x104621,x104622),a921),a921)),f862(f862(f10(f932(x104622,f931(x104621,x104622)),f932(x104622,f932(f932(f931(x104621,x104622),a921),a921)),x104621),f862(f10(f931(x104621,x104622),f932(f932(f931(x104621,x104622),a921),a921),x104622),f321(f931(x104621,x104622)))),f244(x104621,x104622)))),x104624)),x104625),x104626)) % 186.59/186.35 [10471]P1(f862(f862(f321(f931(x104711,x104712)),f862(f862(f244(x104711,x104712),x104713),x104714)),f862(f862(f103(f932(f931(x104711,x104712),a921)),x104715),x104716)))+~P1(f862(f862(f862(f862(f103(f932(x104711,f932(x104712,a921))),f862(f862(f9(x104711,f932(f931(x104711,x104712),a921),f932(x104712,a921)),f862(f862(f10(f932(x104712,f932(f932(f931(x104711,x104712),a921),a921)),f932(f932(f931(x104711,x104712),a921),f932(x104712,a921)),x104711),f9(x104712,f932(f931(x104711,x104712),a921),a921)),f862(f862(f10(f932(x104712,f931(x104711,x104712)),f932(x104712,f932(f932(f931(x104711,x104712),a921),a921)),x104711),f862(f10(f931(x104711,x104712),f932(f932(f931(x104711,x104712),a921),a921),x104712),f321(f931(x104711,x104712)))),f244(x104711,x104712)))),x104715)),f862(f862(f9(x104711,f932(f931(x104711,x104712),a921),f932(x104712,a921)),f862(f862(f10(f932(x104712,f932(f932(f931(x104711,x104712),a921),a921)),f932(f932(f931(x104711,x104712),a921),f932(x104712,a921)),x104711),f9(x104712,f932(f931(x104711,x104712),a921),a921)),f862(f862(f10(f932(x104712,f931(x104711,x104712)),f932(x104712,f932(f932(f931(x104711,x104712),a921),a921)),x104711),f862(f10(f931(x104711,x104712),f932(f932(f931(x104711,x104712),a921),a921),x104712),f321(f931(x104711,x104712)))),f244(x104711,x104712)))),x104716)),x104713),x104714)) % 186.59/186.35 [10472]P1(f862(f862(f321(f931(x104721,x104722)),f862(f862(f244(x104721,x104722),x104723),x104724)),f862(f862(f94(f932(f931(x104721,x104722),a921)),x104725),x104726)))+~P1(f862(f862(f862(f862(f94(f932(x104721,f932(x104722,a921))),f862(f862(f9(x104721,f932(f931(x104721,x104722),a921),f932(x104722,a921)),f862(f862(f10(f932(x104722,f932(f932(f931(x104721,x104722),a921),a921)),f932(f932(f931(x104721,x104722),a921),f932(x104722,a921)),x104721),f9(x104722,f932(f931(x104721,x104722),a921),a921)),f862(f862(f10(f932(x104722,f931(x104721,x104722)),f932(x104722,f932(f932(f931(x104721,x104722),a921),a921)),x104721),f862(f10(f931(x104721,x104722),f932(f932(f931(x104721,x104722),a921),a921),x104722),f321(f931(x104721,x104722)))),f244(x104721,x104722)))),x104725)),f862(f862(f9(x104721,f932(f931(x104721,x104722),a921),f932(x104722,a921)),f862(f862(f10(f932(x104722,f932(f932(f931(x104721,x104722),a921),a921)),f932(f932(f931(x104721,x104722),a921),f932(x104722,a921)),x104721),f9(x104722,f932(f931(x104721,x104722),a921),a921)),f862(f862(f10(f932(x104722,f931(x104721,x104722)),f932(x104722,f932(f932(f931(x104721,x104722),a921),a921)),x104721),f862(f10(f931(x104721,x104722),f932(f932(f931(x104721,x104722),a921),a921),x104722),f321(f931(x104721,x104722)))),f244(x104721,x104722)))),x104726)),x104723),x104724)) % 186.59/186.35 [10455]~P1(f862(f862(f321(f931(x104552,x104553)),f862(f862(f244(x104552,x104553),x104555),x104556)),f862(f862(f32(x104551,f932(f931(x104552,x104553),a921)),f234(f932(x104551,a921))),x104554)))+P1(f862(f862(f862(f862(f32(x104551,f932(x104552,f932(x104553,a921))),f234(f932(x104551,a921))),f862(f862(f10(f932(f931(x104552,x104553),a921),f932(x104552,f932(x104553,a921)),x104551),f862(f9(x104552,f932(f931(x104552,x104553),a921),f932(x104553,a921)),f862(f862(f10(f932(x104553,f932(f932(f931(x104552,x104553),a921),a921)),f932(f932(f931(x104552,x104553),a921),f932(x104553,a921)),x104552),f9(x104553,f932(f931(x104552,x104553),a921),a921)),f862(f862(f10(f932(x104553,f931(x104552,x104553)),f932(x104553,f932(f932(f931(x104552,x104553),a921),a921)),x104552),f862(f10(f931(x104552,x104553),f932(f932(f931(x104552,x104553),a921),a921),x104553),f321(f931(x104552,x104553)))),f244(x104552,x104553))))),x104554)),x104555),x104556)) % 186.59/186.35 [10456]~P1(f862(f862(f321(f931(x104562,x104563)),f862(f862(f244(x104562,x104563),x104565),x104566)),f862(f862(f33(x104561,f932(f931(x104562,x104563),a921)),f234(f932(x104561,a921))),x104564)))+P1(f862(f862(f862(f862(f33(x104561,f932(x104562,f932(x104563,a921))),f234(f932(x104561,a921))),f862(f862(f10(f932(f931(x104562,x104563),a921),f932(x104562,f932(x104563,a921)),x104561),f862(f9(x104562,f932(f931(x104562,x104563),a921),f932(x104563,a921)),f862(f862(f10(f932(x104563,f932(f932(f931(x104562,x104563),a921),a921)),f932(f932(f931(x104562,x104563),a921),f932(x104563,a921)),x104562),f9(x104563,f932(f931(x104562,x104563),a921),a921)),f862(f862(f10(f932(x104563,f931(x104562,x104563)),f932(x104563,f932(f932(f931(x104562,x104563),a921),a921)),x104562),f862(f10(f931(x104562,x104563),f932(f932(f931(x104562,x104563),a921),a921),x104563),f321(f931(x104562,x104563)))),f244(x104562,x104563))))),x104564)),x104565),x104566)) % 186.59/186.35 [10465]P1(f862(f862(f321(f931(x104651,x104652)),f862(f862(f244(x104651,x104652),x104653),x104654)),f862(f862(f32(x104655,f932(f931(x104651,x104652),a921)),f234(f932(x104655,a921))),x104656)))+~P1(f862(f862(f862(f862(f32(x104655,f932(x104651,f932(x104652,a921))),f234(f932(x104655,a921))),f862(f862(f10(f932(f931(x104651,x104652),a921),f932(x104651,f932(x104652,a921)),x104655),f862(f9(x104651,f932(f931(x104651,x104652),a921),f932(x104652,a921)),f862(f862(f10(f932(x104652,f932(f932(f931(x104651,x104652),a921),a921)),f932(f932(f931(x104651,x104652),a921),f932(x104652,a921)),x104651),f9(x104652,f932(f931(x104651,x104652),a921),a921)),f862(f862(f10(f932(x104652,f931(x104651,x104652)),f932(x104652,f932(f932(f931(x104651,x104652),a921),a921)),x104651),f862(f10(f931(x104651,x104652),f932(f932(f931(x104651,x104652),a921),a921),x104652),f321(f931(x104651,x104652)))),f244(x104651,x104652))))),x104656)),x104653),x104654)) % 186.59/186.35 [10466]P1(f862(f862(f321(f931(x104661,x104662)),f862(f862(f244(x104661,x104662),x104663),x104664)),f862(f862(f33(x104665,f932(f931(x104661,x104662),a921)),f234(f932(x104665,a921))),x104666)))+~P1(f862(f862(f862(f862(f33(x104665,f932(x104661,f932(x104662,a921))),f234(f932(x104665,a921))),f862(f862(f10(f932(f931(x104661,x104662),a921),f932(x104661,f932(x104662,a921)),x104665),f862(f9(x104661,f932(f931(x104661,x104662),a921),f932(x104662,a921)),f862(f862(f10(f932(x104662,f932(f932(f931(x104661,x104662),a921),a921)),f932(f932(f931(x104661,x104662),a921),f932(x104662,a921)),x104661),f9(x104662,f932(f931(x104661,x104662),a921),a921)),f862(f862(f10(f932(x104662,f931(x104661,x104662)),f932(x104662,f932(f932(f931(x104661,x104662),a921),a921)),x104661),f862(f10(f931(x104661,x104662),f932(f932(f931(x104661,x104662),a921),a921),x104662),f321(f931(x104661,x104662)))),f244(x104661,x104662))))),x104666)),x104663),x104664)) % 186.59/186.35 [7642]E(f862(x76421,f862(x76422,x76423)),f862(x76424,x76423))+~E(f862(f66(x76425,x76426,x76427,x76421),x76422),x76424) % 186.59/186.35 [9792]E(x97921,x97922)+E(f68(x97923,x97924,f68(x97923,x97924,x97925,x97921,x97926),x97922,x97927),f68(x97923,x97924,f68(x97923,x97924,x97925,x97922,x97927),x97921,x97926)) % 186.59/186.35 [9883]~P20(x98833,x98834,x98831,x98835,x98836,x98837)+E(f862(f862(x98831,x98832),x98832),x98832) % 186.59/186.35 [6186]~E(f862(f862(f147(x61861,x61865),x61866),x61862),f862(f862(f147(x61863,x61865),x61867),x61864))+E(f862(f182(f925(x61861)),x61862),f862(f182(f925(x61863)),x61864)) % 186.59/186.35 [8673]E(f862(x86731,f862(x86732,x86733)),f862(x86734,x86733))+~E(f862(f66(x86735,x86736,x86737,x86731),x86732),f862(f66(x86736,x86736,x86737,f25(x86736)),x86734)) % 186.59/186.35 [9032]~P32(x90324,x90325,x90321,f862(f862(f144(x90324),x90322),x90326),f862(f862(f144(x90325),x90323),x90327))+P1(f862(f862(x90321,x90322),x90323)) % 186.59/186.35 [9409]P32(x94091,x94092,x94093,x94094,x94095)+~P32(x94091,x94092,x94093,f862(f862(f144(x94091),x94096),x94094),f862(f862(f144(x94092),x94097),x94095)) % 186.59/186.35 [10045]P1(f862(f862(x100451,x100452),f552(x100453,x100452,x100454,x100451)))+~P1(f862(f862(f245(x100455,x100456,x100457,x100451,x100454),x100452),x100453)) % 186.59/186.35 [10069]P1(f862(f862(x100691,f552(x100692,x100693,x100691,x100694)),x100692))+~P1(f862(f862(f245(x100695,x100696,x100697,x100694,x100691),x100693),x100692)) % 186.59/186.35 [9149]~P18(x91496,x91491,x91493,x91497)+E(f862(f66(x91491,x91491,x91492,f862(x91493,x91494)),f862(f66(x91491,x91491,x91492,f862(x91493,x91494)),x91495)),f862(f66(x91491,x91491,x91492,f862(x91493,x91494)),x91495)) % 186.59/186.35 [9520]~P32(x95203,x95202,x95204,f862(f862(f147(x95201,x95203),x95205),x95206),x95207)+P32(x95201,x95202,f862(f862(f10(x95203,f932(x95202,a921),x95201),x95204),x95205),x95206,x95207) % 186.59/186.35 [9544]P32(x95441,x95442,x95443,f862(f862(f147(x95444,x95441),x95445),x95446),x95447)+~P32(x95444,x95442,f862(f862(f10(x95441,f932(x95442,a921),x95444),x95443),x95445),x95446,x95447) % 186.59/186.35 [9148]~P1(f862(f862(f321(x91481),x91482),f862(f862(x91485,x91486),x91487)))+P1(f862(f862(f321(x91481),x91482),f862(f862(f249(x91483,x91484,f932(x91481,a921)),x91485),f862(f862(f244(x91483,x91484),x91486),x91487)))) % 186.59/186.35 [9435]P1(f862(f862(f862(x94351,x94352),x94353),x94354))+~P1(f862(f862(f862(f249(x94355,x94356,f932(x94357,a921)),x94351),f862(f862(f244(x94355,x94356),x94352),x94353)),x94354)) % 186.59/186.35 [9585]P1(f862(f862(f321(x95851),f862(f862(x95852,x95853),x95854)),f862(f302(f931(x95855,x95856),x95851,f862(f249(x95855,x95856,x95851),x95852)),x95857)))+~P1(f862(f862(f321(f931(x95855,x95856)),f862(f862(f244(x95855,x95856),x95853),x95854)),x95857)) % 186.59/186.35 [9931]P1(f862(f862(f321(f931(f925(x99311),f925(x99311))),f862(f862(f244(f925(x99311),f925(x99311)),f862(f862(f127(x99311),x99312),f862(f862(f144(x99311),x99313),x99314))),f862(f862(f127(x99311),x99312),f862(f862(f144(x99311),x99315),x99316)))),f140(x99311,x99317)))+~P1(f862(f862(f321(f931(x99311,x99311)),f862(f862(f244(x99311,x99311),x99313),x99315)),x99317)) % 186.59/186.35 [9996]~P32(x99961,x99963,x99964,x99966,f862(f862(f147(x99962,x99963),x99965),x99967))+P32(x99961,x99962,f862(f862(f9(x99961,f932(x99962,x99963),f932(x99962,a921)),f862(f862(f10(f932(x99963,a921),f932(f932(x99962,x99963),f932(x99962,a921)),x99961),f10(x99963,a921,x99962)),x99964)),x99965),x99966,x99967) % 186.59/186.35 [10073]P32(x100731,x100732,x100733,x100734,f862(f862(f147(x100735,x100732),x100736),x100737))+~P32(x100731,x100735,f862(f862(f9(x100731,f932(x100735,x100732),f932(x100735,a921)),f862(f862(f10(f932(x100732,a921),f932(f932(x100735,x100732),f932(x100735,a921)),x100731),f10(x100732,a921,x100735)),x100733)),x100736),x100734,x100737) % 186.59/186.35 [10384]P1(f862(f862(f321(x103841),f492(x103842,x103843,x103844,x103845,x103846,x103847,x103841)),x103845))+P1(f862(f862(f862(f862(f32(x103841,f932(x103847,f932(x103846,a921))),x103845),x103844),x103843),x103842)) % 186.59/186.35 [10385]P1(f862(f862(f321(x103851),f790(x103852,x103853,x103854,x103855,x103856,x103857,x103851)),x103857))+P1(f862(f862(f862(f862(f32(x103851,f932(x103853,f932(x103852,a921))),x103857),x103856),x103855),x103854)) % 186.59/186.35 [10386]P1(f862(f862(f321(x103861),f494(x103862,x103863,x103864,x103865,x103866,x103867,x103861)),x103865))+~P1(f862(f862(f862(f862(f33(x103861,f932(x103867,f932(x103866,a921))),x103865),x103864),x103863),x103862)) % 186.59/186.35 [10387]P1(f862(f862(f321(x103871),f791(x103872,x103873,x103874,x103875,x103876,x103877,x103871)),x103875))+~P1(f862(f862(f862(f862(f33(x103871,f932(x103877,f932(x103876,a921))),x103875),x103874),x103873),x103872)) % 186.59/186.35 [10420]P1(f862(f862(f862(x104201,f494(x104202,x104203,x104201,x104204,x104205,x104206,x104207)),x104203),x104202))+~P1(f862(f862(f862(f862(f33(x104207,f932(x104206,f932(x104205,a921))),x104204),x104201),x104203),x104202)) % 186.59/186.35 [10421]P1(f862(f862(f862(x104211,f791(x104212,x104213,x104211,x104214,x104215,x104216,x104217)),x104213),x104212))+~P1(f862(f862(f862(f862(f33(x104217,f932(x104216,f932(x104215,a921))),x104214),x104211),x104213),x104212)) % 186.59/186.35 [10436]~P1(f862(f862(f862(x104365,f492(x104367,x104366,x104365,x104364,x104363,x104362,x104361)),x104366),x104367))+P1(f862(f862(f862(f862(f32(x104361,f932(x104362,f932(x104363,a921))),x104364),x104365),x104366),x104367)) % 186.59/186.35 [10437]~P1(f862(f862(f862(x104375,f790(x104373,x104372,x104377,x104376,x104375,x104374,x104371)),x104376),x104377))+P1(f862(f862(f862(f862(f32(x104371,f932(x104372,f932(x104373,a921))),x104374),x104375),x104376),x104377)) % 186.59/186.35 [10454]~P1(f862(f862(f321(f931(x104541,x104543)),f862(f862(f244(x104541,x104543),x104546),x104547)),f862(f862(f280(x104541,x104542,x104543),x104544),x104545)))+P1(f862(f862(f245(x104541,x104542,x104543,f862(f862(f9(x104541,f932(f931(x104541,x104542),a921),f932(x104542,a921)),f862(f862(f10(f932(x104542,f932(f932(f931(x104541,x104542),a921),a921)),f932(f932(f931(x104541,x104542),a921),f932(x104542,a921)),x104541),f9(x104542,f932(f931(x104541,x104542),a921),a921)),f862(f862(f10(f932(x104542,f931(x104541,x104542)),f932(x104542,f932(f932(f931(x104541,x104542),a921),a921)),x104541),f862(f10(f931(x104541,x104542),f932(f932(f931(x104541,x104542),a921),a921),x104542),f321(f931(x104541,x104542)))),f244(x104541,x104542)))),x104544),f862(f862(f9(x104542,f932(f931(x104542,x104543),a921),f932(x104543,a921)),f862(f862(f10(f932(x104543,f932(f932(f931(x104542,x104543),a921),a921)),f932(f932(f931(x104542,x104543),a921),f932(x104543,a921)),x104542),f9(x104543,f932(f931(x104542,x104543),a921),a921)),f862(f862(f10(f932(x104543,f931(x104542,x104543)),f932(x104543,f932(f932(f931(x104542,x104543),a921),a921)),x104542),f862(f10(f931(x104542,x104543),f932(f932(f931(x104542,x104543),a921),a921),x104543),f321(f931(x104542,x104543)))),f244(x104542,x104543)))),x104545)),x104546),x104547)) % 186.59/186.35 [10464]P1(f862(f862(f321(f931(x104641,x104642)),f862(f862(f244(x104641,x104642),x104643),x104644)),f862(f862(f280(x104641,x104645,x104642),x104646),x104647)))+~P1(f862(f862(f245(x104641,x104645,x104642,f862(f862(f9(x104641,f932(f931(x104641,x104645),a921),f932(x104645,a921)),f862(f862(f10(f932(x104645,f932(f932(f931(x104641,x104645),a921),a921)),f932(f932(f931(x104641,x104645),a921),f932(x104645,a921)),x104641),f9(x104645,f932(f931(x104641,x104645),a921),a921)),f862(f862(f10(f932(x104645,f931(x104641,x104645)),f932(x104645,f932(f932(f931(x104641,x104645),a921),a921)),x104641),f862(f10(f931(x104641,x104645),f932(f932(f931(x104641,x104645),a921),a921),x104645),f321(f931(x104641,x104645)))),f244(x104641,x104645)))),x104646),f862(f862(f9(x104645,f932(f931(x104645,x104642),a921),f932(x104642,a921)),f862(f862(f10(f932(x104642,f932(f932(f931(x104645,x104642),a921),a921)),f932(f932(f931(x104645,x104642),a921),f932(x104642,a921)),x104645),f9(x104642,f932(f931(x104645,x104642),a921),a921)),f862(f862(f10(f932(x104642,f931(x104645,x104642)),f932(x104642,f932(f932(f931(x104645,x104642),a921),a921)),x104645),f862(f10(f931(x104645,x104642),f932(f932(f931(x104645,x104642),a921),a921),x104642),f321(f931(x104645,x104642)))),f244(x104645,x104642)))),x104647)),x104643),x104644)) % 186.59/186.35 [10396]~P146(x103962)+E(f862(f862(f8(x103961,x103962),f862(f862(f9(x103961,f932(x103963,a921),x103962),f862(f862(f10(f932(x103963,x103962),f932(f932(x103963,a921),x103962),x103961),f8(x103963,x103962)),f862(f862(f9(x103961,f932(x103963,x103962),f932(x103963,x103962)),f862(f862(f10(f932(x103962,x103962),f932(f932(x103963,x103962),f932(x103963,x103962)),x103961),f10(x103962,x103962,x103963)),f862(f862(f10(x103962,f932(x103962,x103962),x103961),f74(x103962)),x103964))),x103965))),x103966)),x103967),f862(f862(f74(x103962),f862(f862(f8(x103961,x103962),x103964),x103967)),f862(f862(f8(x103963,x103962),x103965),x103966))) % 186.59/186.35 [9467]~P17(x94677,x94671,x94673,x94678)+E(f862(f66(x94671,x94671,x94672,f862(x94673,x94674)),f862(f66(x94671,x94671,x94672,f862(x94673,x94675)),x94676)),f862(f66(x94671,x94671,x94672,f862(x94673,x94675)),f862(f66(x94671,x94671,x94672,f862(x94673,x94674)),x94676))) % 186.59/186.35 [10459]E(f862(f862(f244(x104591,x104592),f862(x104593,f583(x104594,x104595,x104593,x104596,x104597,x104598,x104592,x104591))),f862(x104595,f584(x104594,x104595,x104593,x104596,x104597,x104598,x104592,x104591))),x104598)+~P1(f862(f862(f321(f931(x104591,x104592)),x104598),f862(f302(f931(x104597,x104596),f931(x104591,x104592),f250(x104597,x104591,x104596,x104592,x104593,x104595)),x104594))) % 186.59/186.35 [10477]~P1(f862(f862(f321(f931(x104778,x104777)),x104776),f862(f302(f931(x104771,x104772),f931(x104778,x104777),f250(x104771,x104778,x104772,x104777,x104775,x104774)),x104773)))+P1(f862(f862(f321(f931(x104771,x104772)),f862(f862(f244(x104771,x104772),f583(x104773,x104774,x104775,x104772,x104771,x104776,x104777,x104778)),f584(x104773,x104774,x104775,x104772,x104771,x104776,x104777,x104778))),x104773)) % 186.59/186.35 [9921]P1(f862(f862(f321(f931(f931(x99211,x99212),f931(x99211,x99212))),f862(f862(f244(f931(x99211,x99212),f931(x99211,x99212)),f862(f862(f244(x99211,x99212),x99213),x99214)),f862(f862(f244(x99211,x99212),x99215),x99216))),f311(x99211,x99212,x99217,x99218)))+~P1(f862(f862(f321(f931(x99211,x99211)),f862(f862(f244(x99211,x99211),x99213),x99215)),x99217)) % 186.59/186.35 [10448]E(f862(f135(x104481,x104482,f862(f9(x104482,x104481,x104481),x104483),f862(x104484,x104485)),x104486),f862(x104484,f862(f135(x104487,x104482,f862(f9(x104482,x104487,x104487),x104488),x104485),x104486)))+P1(f862(f862(f321(x104482),f739(x104485,x104488,x104484,x104483,x104487,x104481,x104486,x104482)),f862(f165(x104482),x104486))) % 186.59/186.35 [10467]~E(f862(f66(x104671,x104671,x104677,f862(x104673,f739(x104675,x104678,x104674,x104673,x104677,x104671,x104676,x104672))),x104674),f862(f66(x104677,x104671,x104677,x104674),f862(x104678,f739(x104675,x104678,x104674,x104673,x104677,x104671,x104676,x104672))))+E(f862(f135(x104671,x104672,f862(f9(x104672,x104671,x104671),x104673),f862(x104674,x104675)),x104676),f862(x104674,f862(f135(x104677,x104672,f862(f9(x104672,x104677,x104677),x104678),x104675),x104676))) % 186.59/186.35 [8678]E(f862(x86781,f862(x86782,x86783)),f862(x86784,f862(x86785,x86783)))+~E(f862(f66(x86786,x86787,x86788,x86781),x86782),f862(f66(x86789,x86787,x86788,x86784),x86785)) % 186.59/186.35 [10311]P1(f862(f862(f321(f931(x103111,x103112)),f862(f862(f244(x103111,x103112),f862(x103113,x103114)),f862(x103115,x103116))),f862(f302(f931(x103117,x103118),f931(x103111,x103112),f250(x103117,x103111,x103118,x103112,x103113,x103115)),x103119)))+~P1(f862(f862(f321(f931(x103117,x103118)),f862(f862(f244(x103117,x103118),x103114),x103116)),x103119)) % 186.59/186.35 [8976]~E(f862(x89764,f862(x89765,x89766)),f862(x89769,f862(x897610,x897611)))+E(f862(f862(f66(x89761,x89762,x89763,x89764),x89765),x89766),f862(f862(f66(x89767,x89762,x89768,x89769),x897610),x897611)) % 186.59/186.35 [4754]~P109(x47541)+~P104(x47541)+E(f94(x47541),f225(x47541)) % 186.59/186.35 [4755]~P109(x47551)+~P103(x47551)+E(f103(x47551),f226(x47551)) % 186.59/186.35 [5004]~P112(x50041)+~P98(x50041)+E(f862(f69(x50041),f862(f96(x50041),a90)),f71(x50041)) % 186.59/186.35 [5292]E(x52921,f2(a1))+E(f75(a1,x52921),f862(f72(a1),f71(a1)))+P1(f862(f862(f228(a1),f2(a1)),x52921)) % 186.59/186.35 [5499]E(x54991,f2(a1))+E(f75(a1,x54991),f71(a1))+~P1(f862(f862(f228(a1),f2(a1)),x54991)) % 186.59/186.35 [7542]~P38(x75421)+P1(f862(f54(a1),x75421))+~P1(f862(f54(a924),f862(f302(a1,a924,a97),x75421))) % 186.59/186.35 [9882]E(x98821,f181(f932(f931(a924,a924),a921)))+~P1(f862(f54(f931(a924,a924)),x98821))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),f181(f932(f931(a924,a924),a921))),x98821)),a27)) % 186.59/186.35 [10046]E(x100461,f2(a924))+E(x100461,f862(a105,f2(a924)))+~P1(f862(f862(f228(a924),x100461),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.35 [10340]E(x103401,f2(a92))+E(f862(f862(f73(a1),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(a24,f862(f862(f29(a92),x103401),f862(f96(a92),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))))),f71(a1)),f862(a24,x103401))+E(f38(a92,x103401,f862(f96(a92),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f2(a92)) % 186.59/186.35 [10185]E(x101851,f2(a92))+~E(f38(a92,x101851,f862(f96(a92),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f2(a92))+E(f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(a24,f862(f862(f29(a92),x101851),f862(f96(a92),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f862(a24,x101851)) % 186.59/186.35 [4837]~P55(x48371,x48372)+P41(x48371,x48372)+~P42(a921) % 186.59/186.35 [4764]~P147(x47641)+P26(x47641,x47642)+~E(x47642,f2(x47641)) % 186.59/186.35 [4765]~P109(x47651)+P11(x47651,x47652)+~E(x47652,f106(x47651)) % 186.59/186.35 [4775]~P112(x47751)+~E(x47752,f2(x47751))+E(f75(x47751,x47752),f2(x47751)) % 186.59/186.35 [4776]~P88(x47761)+~E(x47762,f2(x47761))+E(f75(x47761,x47762),f2(x47761)) % 186.59/186.35 [4784]~P147(x47842)+~P26(x47842,x47841)+E(x47841,f2(x47842)) % 186.59/186.35 [4830]~P112(x48302)+~E(f75(x48302,x48301),f2(x48302))+E(x48301,f2(x48302)) % 186.59/186.35 [4844]~P2(x48442)+~P63(x48441)+P2(f932(x48441,x48442)) % 186.59/186.35 [4845]~P60(x48452)+~P60(x48451)+P60(f932(x48451,x48452)) % 186.59/186.35 [4846]~P60(x48462)+~P60(x48461)+P60(f930(x48461,x48462)) % 186.59/186.35 [4847]~P60(x48472)+~P60(x48471)+P60(f931(x48471,x48472)) % 186.59/186.35 [4848]~P4(x48482)+~P4(x48481)+P4(f187(x48481,x48482)) % 186.59/186.35 [4849]~P63(x48492)+~P63(x48491)+P63(f932(x48491,x48492)) % 186.59/186.35 [4850]~P63(x48502)+~P63(x48501)+P63(f930(x48501,x48502)) % 186.59/186.35 [4851]~P63(x48512)+~P63(x48511)+P63(f931(x48511,x48512)) % 186.59/186.35 [4852]~P106(x48522)+~P106(x48521)+P106(f931(x48521,x48522)) % 186.59/186.35 [4976]~P109(x49761)+~P11(x49761,x49762)+P11(x49761,f145(x49761,x49762)) % 186.59/186.35 [5220]~P4(x52202)+~P4(x52201)+P4(f38(a1,x52201,x52202)) % 186.59/186.35 [4786]~P76(x47861)+~E(x47862,f2(x47861))+E(f862(f72(x47861),x47862),x47862) % 186.59/186.35 [4802]~P142(x48021)+~E(x48022,f2(a1))+E(f862(f95(x48021),x48022),f2(x48021)) % 186.59/186.35 [4803]~P97(x48031)+~E(x48032,f2(a1))+E(f862(f95(x48031),x48032),f2(x48031)) % 186.59/186.35 [4827]~P68(x48271)+~E(f2(x48271),x48272)+E(f862(f72(x48271),x48272),f2(x48271)) % 186.59/186.35 [4828]~P68(x48281)+~E(x48282,f2(x48281))+E(f862(f72(x48281),x48282),f2(x48281)) % 186.59/186.35 [4829]~P86(x48291)+~E(x48292,f2(x48291))+E(f862(f69(x48291),x48292),f2(x48291)) % 186.59/186.35 [4854]~P76(x48542)+E(x48541,f2(x48542))+~E(f862(f72(x48542),x48541),x48541) % 186.59/186.35 [4856]E(x48561,f862(a97,x48562))+~E(x48561,f2(a924))+~E(x48562,f862(f93(a1),x48561)) % 186.59/186.35 [4857]E(f862(a97,x48571),x48572)+~E(x48572,f2(a924))+~E(x48571,f862(f93(a1),x48572)) % 186.59/186.35 [4861]~P97(x48612)+E(x48611,f2(a1))+~E(f862(f95(x48612),x48611),f2(x48612)) % 186.59/186.35 [4865]~P68(x48652)+E(x48651,f2(x48652))+~E(f862(f72(x48652),x48651),f2(x48652)) % 186.59/186.35 [4866]~P86(x48662)+E(x48661,f2(x48662))+~E(f862(f69(x48662),x48661),f2(x48662)) % 186.59/186.35 [4867]~P68(x48671)+E(f2(x48671),x48672)+~E(f862(f72(x48671),x48672),f2(x48671)) % 186.59/186.35 [5051]~P109(x50511)+~P11(x50511,x50512)+P11(x50511,f862(f164(x50511),x50512)) % 186.59/186.35 [5078]~P1(x50782)+~P1(x50781)+P1(f862(f862(a318,x50781),x50782)) % 186.59/186.35 [5112]~E(f71(a924),f2(a924))+E(f862(f28(x51121),x51122),f2(a924))+~P1(f862(f54(x51121),x51122)) % 186.59/186.35 [5148]~P116(x51481)+~P146(x51481)+E(f862(f862(f236(x51481),f2(x51481)),f862(a105,x51482)),f2(x51481)) % 186.59/186.35 [5187]~P109(x51871)+P11(x51871,f132(x51871,x51872))+~P1(f862(f54(x51871),x51872)) % 186.59/186.35 [5188]~P109(x51881)+P11(x51881,f731(x51882,x51881))+~P1(f862(f54(x51881),x51882)) % 186.59/186.35 [5212]~P109(x52121)+E(f862(f165(x52121),f132(x52121,x52122)),x52122)+~P1(f862(f54(x52121),x52122)) % 186.59/186.35 [5213]~P109(x52131)+E(f862(f165(x52131),f731(x52132,x52131)),x52132)+~P1(f862(f54(x52131),x52132)) % 186.59/186.35 [5242]P1(x52421)+P1(x52422)+~P1(f862(f862(a319,x52422),x52421)) % 186.59/186.35 [5255]E(x52551,f181(f932(x52552,a921)))+~E(f862(f28(x52552),x52551),f2(a924))+~P1(f862(f54(x52552),x52551)) % 186.59/186.35 [5260]P1(x52601)+~P1(x52602)+~P1(f862(f862(a322,x52602),x52601)) % 186.59/186.35 [5310]~P75(x53101)+E(f862(f69(x53101),x53102),x53102)+P1(f862(f862(f228(x53101),x53102),f2(x53101))) % 186.59/186.35 [5370]~P63(x53702)+~P1(f862(f49(x53702),x53701))+P1(f862(x53701,f732(x53701,x53702))) % 186.59/186.35 [5371]~P63(x53712)+~P1(f862(f49(x53712),x53711))+P1(f862(x53711,f740(x53711,x53712))) % 186.59/186.35 [5413]E(x54131,f106(x54132))+P1(f862(f130(x54132),f107(x54132,x54131)))+~P1(f862(f130(x54132),x54131)) % 186.59/186.35 [5418]~P109(x54181)+~P1(f862(f54(x54181),x54182))+P1(f862(f130(x54181),f132(x54181,x54182))) % 186.59/186.35 [5419]~P109(x54191)+~P1(f862(f54(x54191),x54192))+P1(f862(f130(x54191),f731(x54192,x54191))) % 186.59/186.35 [5424]~P142(x54241)+E(f862(f93(x54241),f862(a97,x54242)),f862(f95(x54241),x54242))+P1(f862(f862(f228(a1),x54242),f2(a1))) % 186.59/186.35 [5446]P5(x54462,x54461)+E(f862(x54461,f524(x54461)),f862(x54461,f527(x54461)))+P1(f862(f862(x54461,f524(x54461)),f527(x54461))) % 186.59/186.35 [5460]E(f862(f93(a1),f428(x54601,x54602)),x54601)+P1(f862(x54602,f862(a97,x54601)))+~P1(f862(x54602,f2(a924))) % 186.59/186.35 [5473]~P63(x54731)+~P1(f862(x54732,f746(x54732,x54731)))+P1(f862(f50(x54731),x54732)) % 186.59/186.35 [5474]~P63(x54741)+~P1(f862(x54742,f756(x54742,x54741)))+P1(f862(f50(x54741),x54742)) % 186.59/186.35 [5509]~P112(x55091)+~E(f75(x55091,x55092),f862(f72(x55091),f71(x55091)))+P1(f862(f862(f228(x55091),x55092),f2(x55091))) % 186.59/186.35 [5584]~E(x55842,f2(a1))+E(f208(x55841,x55842),f862(f862(f244(a1,a1),f2(a1)),f71(a1)))+P1(f862(f862(f228(a1),x55842),f2(a1))) % 186.59/186.35 [5585]~E(x55851,f2(a1))+E(f208(x55851,x55852),f862(f862(f244(a1,a1),f2(a1)),f71(a1)))+P1(f862(f862(f228(a1),x55852),f2(a1))) % 186.59/186.35 [5637]E(f862(f93(a1),f428(x56371,x56372)),x56371)+P1(f862(x56372,f862(a97,x56371)))+P1(f862(f862(f228(a1),x56371),f2(a1))) % 186.59/186.35 [5703]~P112(x57031)+E(f75(x57031,x57032),f862(f72(x57031),f71(x57031)))+~P1(f862(f862(f228(x57031),x57032),f2(x57031))) % 186.59/186.35 [5704]~P86(x57041)+E(f862(f69(x57041),x57042),f862(f72(x57041),x57042))+~P1(f862(f862(f227(x57041),x57042),f2(x57041))) % 186.59/186.35 [5705]~P86(x57051)+E(f862(f69(x57051),x57052),f862(f72(x57051),x57052))+~P1(f862(f862(f228(x57051),x57052),f2(x57051))) % 186.59/186.35 [5706]~P75(x57061)+E(f862(f69(x57061),x57062),f862(f72(x57061),x57062))+~P1(f862(f862(f228(x57061),x57062),f2(x57061))) % 186.59/186.35 [5809]~P1(f862(x58091,f428(x58092,x58091)))+P1(f862(x58091,f862(a97,x58092)))+~P1(f862(x58091,f2(a924))) % 186.59/186.35 [5816]E(x58161,f2(a924))+E(f862(a105,f329(x58162,x58161)),x58161)+~P1(f862(f862(f228(a924),x58161),f862(a105,x58162))) % 186.59/186.35 [5820]P5(x58201,x58202)+~E(f862(x58202,f524(x58202)),f862(x58202,f527(x58202)))+~P1(f862(f862(x58202,f524(x58202)),f527(x58202))) % 186.59/186.36 [5838]~P109(x58381)+P11(x58381,x58382)+P1(f862(f862(f227(a924),f715(x58382,x58381)),f716(x58382,x58381))) % 186.59/186.36 [5839]~P109(x58391)+P11(x58391,x58392)+P1(f862(f862(f227(a924),f722(x58392,x58391)),f727(x58392,x58391))) % 186.59/186.36 [5925]~P86(x59251)+~E(x59252,f2(x59251))+P1(f862(f862(f227(x59251),f862(f69(x59251),x59252)),f2(x59251))) % 186.59/186.36 [6013]~P1(f862(x60131,f428(x60132,x60131)))+P1(f862(x60131,f862(a97,x60132)))+P1(f862(f862(f228(a1),x60132),f2(a1))) % 186.59/186.36 [6038]~P1(f862(x60381,f862(a97,x60382)))+P1(f862(x60381,f2(a924)))+~P1(f862(f862(f228(a1),x60382),f2(a1))) % 186.59/186.36 [6390]~P112(x63901)+~P1(f862(f862(f228(x63901),x63902),f2(x63901)))+P1(f862(f862(f228(x63901),f75(x63901,x63902)),f2(x63901))) % 186.59/186.36 [6509]~P112(x65091)+P1(f862(f862(f227(x65091),f862(f95(x65091),x65092)),f2(x65091)))+~P1(f862(f862(f227(a1),x65092),f2(a1))) % 186.59/186.36 [6510]~P112(x65101)+P1(f862(f862(f228(x65101),f862(f95(x65101),x65102)),f2(x65101)))+~P1(f862(f862(f228(a1),x65102),f2(a1))) % 186.59/186.36 [6519]~P86(x65192)+E(x65191,f2(x65192))+~P1(f862(f862(f227(x65192),f862(f69(x65192),x65191)),f2(x65192))) % 186.59/186.36 [6596]~P142(x65961)+~P1(f862(f862(f321(x65961),x65962),f102(x65961)))+P1(f862(f862(f321(x65961),f862(f72(x65961),x65962)),f102(x65961))) % 186.59/186.36 [6628]~P112(x66281)+~P1(f862(f862(f228(x66281),f75(x66281,x66282)),f2(x66281)))+P1(f862(f862(f228(x66281),x66282),f2(x66281))) % 186.59/186.36 [6805]~P112(x68052)+~P1(f862(f862(f227(x68052),f862(f95(x68052),x68051)),f2(x68052)))+P1(f862(f862(f227(a1),x68051),f2(a1))) % 186.59/186.36 [6806]~P112(x68062)+~P1(f862(f862(f228(x68062),f862(f95(x68062),x68061)),f2(x68062)))+P1(f862(f862(f228(a1),x68061),f2(a1))) % 186.59/186.36 [7316]~P76(x73161)+~P1(f862(f862(f227(x73161),x73162),f2(x73161)))+P1(f862(f862(f227(x73161),f862(f862(f73(x73161),x73162),x73162)),f2(x73161))) % 186.59/186.36 [7317]~P112(x73171)+~P1(f862(f862(f228(x73171),x73172),f2(x73171)))+P1(f862(f862(f228(x73171),f862(f862(f73(x73171),x73172),x73172)),f2(x73171))) % 186.59/186.36 [7318]~P76(x73181)+~P1(f862(f862(f228(x73181),x73182),f2(x73181)))+P1(f862(f862(f228(x73181),f862(f862(f73(x73181),x73182),x73182)),f2(x73181))) % 186.59/186.36 [7887]~P76(x78871)+~P1(f862(f862(f227(x78871),f862(f862(f73(x78871),x78872),x78872)),f2(x78871)))+P1(f862(f862(f227(x78871),x78872),f2(x78871))) % 186.59/186.36 [7888]~P112(x78881)+~P1(f862(f862(f228(x78881),f862(f862(f73(x78881),x78882),x78882)),f2(x78881)))+P1(f862(f862(f228(x78881),x78882),f2(x78881))) % 186.59/186.36 [7889]~P76(x78891)+~P1(f862(f862(f228(x78891),f862(f862(f73(x78891),x78892),x78892)),f2(x78891)))+P1(f862(f862(f228(x78891),x78892),f2(x78891))) % 186.59/186.36 [4902]~E(x49022,f71(a924))+~E(x49021,f71(a924))+E(f862(f862(f74(a924),x49021),x49022),f71(a924)) % 186.59/186.36 [4903]~E(x49032,f71(a1))+~E(x49031,f71(a1))+E(f862(f862(f74(a1),x49031),x49032),f71(a1)) % 186.59/186.36 [4904]~E(x49042,f2(a924))+~E(x49041,f2(a924))+E(f862(f862(f73(a924),x49041),x49042),f2(a924)) % 186.59/186.36 [4960]~P121(x49602)+E(x49601,f2(x49602))+E(f862(f862(f282(x49602),x49601),x49601),f71(x49602)) % 186.59/186.36 [4961]~P61(x49612)+E(x49611,f2(x49612))+E(f862(f862(f29(x49612),x49611),x49611),f71(x49612)) % 186.59/186.36 [4962]~P122(x49622)+E(x49621,f2(x49622))+E(f862(f862(f282(x49622),x49621),x49621),f71(x49622)) % 186.59/186.36 [4982]~P141(x49821)+~E(x49822,f71(x49821))+E(f862(f862(f74(x49821),x49822),x49822),f71(x49821)) % 186.59/186.36 [4983]~P76(x49831)+~E(x49832,f2(x49831))+E(f862(f862(f73(x49831),x49832),x49832),f2(x49831)) % 186.59/186.36 [4984]~P122(x49841)+~E(x49842,f2(x49841))+E(f862(f862(f282(x49841),x49842),x49842),f2(x49841)) % 186.59/186.36 [5029]~E(x50292,f2(a924))+~E(x50291,f2(a924))+E(f862(f72(a1),f862(f93(a1),x50291)),f862(f93(a1),x50292)) % 186.59/186.36 [5048]E(x50481,f71(a924))+E(x50482,f2(a924))+~E(f862(f862(f74(a924),x50482),x50481),x50482) % 186.59/186.36 [5060]E(x50601,f2(a924))+E(x50602,f2(a924))+~E(f862(f862(f74(a924),x50602),x50601),f2(a924)) % 186.59/186.36 [5087]~E(x50872,f2(a924))+~E(x50871,f862(a105,f2(a924)))+E(f862(f862(f73(a924),x50871),x50872),f862(a105,f2(a924))) % 186.59/186.36 [5088]~E(x50881,f2(a924))+~E(x50882,f862(a105,f2(a924)))+E(f862(f862(f73(a924),x50881),x50882),f862(a105,f2(a924))) % 186.59/186.36 [5095]E(x50951,f71(a1))+E(x50952,f862(f96(a1),a90))+~E(f862(f862(f74(a1),x50951),x50952),f71(a1)) % 186.59/186.36 [5096]E(x50961,f71(a1))+E(x50962,f862(f96(a1),a90))+~E(f862(f862(f74(a1),x50962),x50961),f71(a1)) % 186.59/186.36 [5097]E(x50971,f71(a1))+E(x50971,f862(f96(a1),a90))+~E(f862(f862(f74(a1),x50972),x50971),f71(a1)) % 186.59/186.36 [5099]E(x50991,f71(a1))+E(x50991,f862(f96(a1),a90))+~E(f862(f862(f74(a1),x50991),x50992),f71(a1)) % 186.59/186.36 [5120]~P76(x51202)+E(x51201,f2(x51202))+~E(f862(f862(f73(x51202),x51201),x51201),f2(x51202)) % 186.59/186.36 [5126]~E(x51261,f862(f96(a1),a90))+~E(x51262,f862(f96(a1),a90))+E(f862(f862(f74(a1),x51261),x51262),f71(a1)) % 186.59/186.36 [5137]E(x51371,f2(a924))+E(x51372,f2(a924))+~E(f862(f862(f73(a924),x51372),x51371),f862(a105,f2(a924))) % 186.59/186.36 [5147]~P64(x51471)+~P98(x51471)+E(f862(f862(f282(x51471),x51472),f862(f96(x51471),a76)),f2(x51471)) % 186.59/186.36 [5153]~P141(x51531)+~E(x51532,f862(f72(x51531),f71(x51531)))+E(f862(f862(f74(x51531),x51532),x51532),f71(x51531)) % 186.59/186.36 [5158]~P4(x51582)+~P4(x51581)+P4(f862(f862(f74(a1),x51581),x51582)) % 186.59/186.36 [5159]~P4(x51592)+~P4(x51591)+P4(f862(f862(f73(a1),x51591),x51592)) % 186.59/186.36 [5160]~P4(x51602)+~P4(x51601)+P4(f862(f862(f29(a1),x51601),x51602)) % 186.59/186.36 [5162]~E(x51622,f2(a1))+E(x51621,f2(a1))+E(f39(x51621,x51622),f862(f862(f244(a1,a1),f2(a1)),x51621)) % 186.59/186.36 [5185]~E(x51852,f862(a105,f2(a924)))+~E(x51851,f862(a105,f2(a924)))+E(f862(f862(f74(a924),x51851),x51852),f862(a105,f2(a924))) % 186.59/186.36 [5203]E(x52031,f2(a924))+E(x52032,f862(a105,f2(a924)))+~E(f862(f862(f236(a924),x52032),x52031),f862(a105,f2(a924))) % 186.59/186.36 [5204]E(x52041,f2(a924))+E(x52041,f862(a105,f2(a924)))+~E(f862(f862(f73(a924),x52042),x52041),f862(a105,f2(a924))) % 186.59/186.36 [5205]E(x52051,f2(a924))+E(x52051,f862(a105,f2(a924)))+~E(f862(f862(f73(a924),x52051),x52052),f862(a105,f2(a924))) % 186.59/186.36 [5214]~P64(x52141)+~P98(x52141)+E(f862(f862(f282(x52141),x52142),f862(f96(x52141),a90)),f862(f72(x52141),x52142)) % 186.59/186.36 [5234]E(x52341,f862(a97,x52342))+~E(x52341,f2(a924))+P1(f862(f862(f227(a1),f2(a1)),x52342)) % 186.59/186.36 [5235]E(f862(a97,x52351),x52352)+~E(x52352,f2(a924))+P1(f862(f862(f227(a1),f2(a1)),x52351)) % 186.59/186.36 [5251]E(x52511,f862(a105,f2(a924)))+E(x52512,f862(a105,f2(a924)))+~E(f862(f862(f73(a924),x52511),x52512),f862(a105,f2(a924))) % 186.59/186.36 [5262]~E(x52621,f862(a97,x52622))+E(x52621,f2(a924))+P1(f862(f862(f227(a1),f2(a1)),x52622)) % 186.59/186.36 [5263]~E(f862(a97,x52632),x52631)+E(x52631,f2(a924))+P1(f862(f862(f227(a1),f2(a1)),x52632)) % 186.59/186.36 [5285]~P93(x52851)+E(f862(f56(x52851,f94(x52851)),x52852),f12(x52851,x52852))+~P1(f862(f54(x52851),x52852)) % 186.59/186.36 [5286]~P93(x52861)+E(f862(f56(x52861,f103(x52861)),x52862),f15(x52861,x52862))+~P1(f862(f54(x52861),x52862)) % 186.59/186.36 [5287]~P109(x52871)+E(f862(f56(x52871,f225(x52871)),x52872),f16(x52871,x52872))+~P1(f862(f54(x52871),x52872)) % 186.59/186.36 [5288]~P109(x52881)+E(f862(f56(x52881,f226(x52881)),x52882),f17(x52881,x52882))+~P1(f862(f54(x52881),x52882)) % 186.59/186.36 [5365]E(x53651,x53652)+~E(f862(f862(f3(a924),x53652),x53651),f2(a924))+~E(f862(f862(f3(a924),x53651),x53652),f2(a924)) % 186.59/186.36 [5384]P4(x53841)+~P38(x53842)+~P1(f862(f862(f321(a1),x53841),x53842)) % 186.59/186.36 [5414]~P112(x54141)+~E(f75(x54141,x54142),f71(x54141))+P1(f862(f862(f228(x54141),f2(x54141)),x54142)) % 186.59/186.36 [5425]~P98(x54251)+E(f862(f93(x54251),f862(f96(a924),x54252)),f862(f96(x54251),x54252))+P1(f862(a186,f862(f96(a1),x54252))) % 186.59/186.36 [5431]~P41(x54311,x54312)+P42(a921)+P1(f862(f54(f931(x54311,x54311)),x54312)) % 186.59/186.36 [5501]~P109(x55011)+E(f862(f56(x55011,f225(x55011)),x55012),f13(x55011,f225(x55011),x55012))+~P1(f862(f54(x55011),x55012)) % 186.59/186.36 [5502]~P109(x55021)+E(f862(f56(x55021,f226(x55021)),x55022),f14(x55021,f226(x55021),x55022))+~P1(f862(f54(x55021),x55022)) % 186.59/186.36 [5516]E(x55161,x55162)+P1(f862(f862(f228(a924),x55162),x55161))+P1(f862(f862(f228(a924),x55161),x55162)) % 186.59/186.36 [5517]E(x55171,x55172)+P1(f862(f862(f228(a1),x55172),x55171))+P1(f862(f862(f228(a1),x55171),x55172)) % 186.59/186.36 [5571]~P98(x55711)+E(f862(f93(x55711),f862(f96(a924),x55712)),f2(x55711))+~P1(f862(a186,f862(f96(a1),x55712))) % 186.59/186.36 [5574]~E(x55742,f862(a97,x55741))+E(x55741,f862(f93(a1),x55742))+~P1(f862(f862(f227(a1),f2(a1)),x55741)) % 186.59/186.36 [5575]~E(f862(a97,x55751),x55752)+E(x55751,f862(f93(a1),x55752))+~P1(f862(f862(f227(a1),f2(a1)),x55751)) % 186.59/186.36 [5576]~E(x55761,f862(a97,x55762))+E(f862(f93(a1),x55761),x55762)+~P1(f862(f862(f227(a1),f2(a1)),x55762)) % 186.59/186.36 [5586]E(x55861,f862(a97,x55862))+~E(x55862,f862(f93(a1),x55861))+~P1(f862(f862(f227(a1),f2(a1)),x55862)) % 186.59/186.36 [5587]E(f862(a97,x55871),x55872)+~E(x55871,f862(f93(a1),x55872))+~P1(f862(f862(f227(a1),f2(a1)),x55871)) % 186.59/186.36 [5628]~P86(x56282)+E(x56281,f2(x56282))+P1(f862(f862(f228(x56282),f2(x56282)),f862(f69(x56282),x56281))) % 186.59/186.36 [5692]~P112(x56921)+E(f75(x56921,x56922),f71(x56921))+~P1(f862(f862(f228(x56921),f2(x56921)),x56922)) % 186.59/186.36 [5696]~P98(x56961)+E(f862(f93(x56961),f862(f96(a924),x56962)),f2(x56961))+P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x56962))) % 186.59/186.36 [5707]~P86(x57071)+E(f862(f69(x57071),x57072),x57072)+~P1(f862(f862(f227(x57071),f2(x57071)),x57072)) % 186.59/186.36 [5708]~P86(x57081)+E(f862(f69(x57081),x57082),x57082)+~P1(f862(f862(f228(x57081),f2(x57081)),x57082)) % 186.59/186.36 [5717]E(x57171,f2(a924))+~E(f132(a924,f862(f295(a924,x57172),x57171)),f106(a924))+P1(f862(f862(f227(a924),x57171),x57172)) % 186.59/186.36 [5728]~P72(x57281)+E(f862(f862(f8(x57281,x57281),f7(x57281)),f862(f165(x57281),x57282)),f862(f158(x57281),x57282))+~P1(f862(f130(x57281),x57282)) % 186.59/186.36 [5731]~P142(x57311)+E(f862(f93(x57311),f862(a97,x57312)),f862(f95(x57311),x57312))+~P1(f862(f862(f227(a1),f2(a1)),x57312)) % 186.59/186.36 [5759]E(x57591,x57592)+P1(f862(f862(f228(a924),x57591),x57592))+~P1(f862(f862(f227(a924),x57591),x57592)) % 186.59/186.36 [5760]E(x57601,x57602)+P1(f862(f862(f228(a1),x57601),x57602))+~P1(f862(f862(f227(a1),x57601),x57602)) % 186.59/186.36 [5764]E(x57641,f71(a1))+~E(f862(f862(f74(a1),x57642),x57641),f71(a1))+~P1(f862(f862(f228(a1),f2(a1)),x57642)) % 186.59/186.36 [5765]E(x57651,f71(a1))+~E(f862(f862(f74(a1),x57651),x57652),f71(a1))+~P1(f862(f862(f228(a1),f2(a1)),x57651)) % 186.59/186.36 [5806]~P38(x58062)+P1(f862(f862(f227(a1),f2(a1)),x58061))+~P1(f862(f862(f321(a1),x58061),x58062)) % 186.59/186.36 [5825]~P55(x58251,x58252)+P35(x58251,x58252)+~P1(f862(f54(f931(x58251,x58251)),x58252)) % 186.59/186.36 [5827]~P55(x58271,x58272)+P41(x58271,x58272)+~P1(f862(f54(f931(x58271,x58271)),x58272)) % 186.59/186.36 [5869]E(x58691,f181(f932(x58692,a921)))+~P1(f862(f54(x58692),x58691))+P1(f862(f862(f228(a924),f2(a924)),f862(f28(x58692),x58691))) % 186.59/186.36 [5896]~P1(f862(x58961,x58962))+P1(f862(x58961,f2(a924)))+P1(f862(f862(f228(a924),f360(x58962,x58961)),x58962)) % 186.59/186.36 [5919]E(x59191,f2(a924))+~E(f862(f158(a924),x59192),f2(a924))+~P1(f862(f862(f321(a924),x59191),f862(f165(a924),x59192))) % 186.59/186.36 [5987]E(x59871,x59872)+~P1(f862(f862(f227(a924),x59872),x59871))+~P1(f862(f862(f227(a924),x59871),x59872)) % 186.59/186.36 [5988]E(x59881,x59882)+~P1(f862(f862(f227(a1),x59882),x59881))+~P1(f862(f862(f227(a1),x59881),x59882)) % 186.59/186.36 [5990]E(f862(f28(x59901),x59902),f2(a924))+~P1(f862(f54(x59901),x59902))+P1(f862(f862(f321(x59901),f362(x59902,x59901)),x59902)) % 186.59/186.36 [5999]E(f43(x59991,x59992),f39(x59991,x59992))+P1(f862(f862(f227(a1),f2(a1)),x59991))+~P1(f862(f862(f228(a1),f2(a1)),x59992)) % 186.59/186.36 [6025]~P1(f862(x60251,f426(x60251)))+P1(f862(x60251,f862(a97,x60252)))+~P1(f862(f862(f227(a1),f2(a1)),x60252)) % 186.59/186.36 [6028]P1(f862(f862(f227(a924),x60281),f866(x60282)))+~P1(f862(f54(a924),x60282))+~P1(f862(f862(f321(a924),x60281),x60282)) % 186.59/186.36 [6029]P1(f862(f862(f228(a924),x60291),f913(x60292)))+~P1(f862(f54(a924),x60292))+~P1(f862(f862(f321(a924),x60291),x60292)) % 186.59/186.36 [6060]E(x60601,x60602)+~P1(f862(f862(f228(a924),x60601),f862(a105,x60602)))+P1(f862(f862(f228(a924),x60601),x60602)) % 186.59/186.36 [6096]E(x60961,f862(a105,x60962))+~P1(f862(f862(f227(a924),x60961),f862(a105,x60962)))+P1(f862(f862(f227(a924),x60961),x60962)) % 186.59/186.36 [6112]P1(f862(x61121,f423(x61121)))+~P1(f862(x61121,f862(a97,x61122)))+~P1(f862(f862(f227(a1),f2(a1)),x61122)) % 186.59/186.36 [6128]~P1(f862(x61281,x61282))+~P1(f862(f862(f227(a1),f2(a1)),x61282))+P1(f862(x61281,f862(f93(a1),f406(x61281)))) % 186.59/186.36 [6139]~P86(x61392)+~E(x61391,f2(x61392))+~P1(f862(f862(f228(x61392),f2(x61392)),f862(f69(x61392),x61391))) % 186.59/186.36 [6164]~P55(x61641,x61642)+P35(x61641,f862(f277(x61641,x61641),x61642))+~P1(f862(f54(f931(x61641,x61641)),x61642)) % 186.59/186.36 [6173]~P98(x61731)+E(f862(f93(x61731),f862(f96(a924),x61732)),f862(f96(x61731),x61732))+~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x61732))) % 186.59/186.36 [6176]E(f862(a105,x61761),x61762)+~P1(f862(f862(f228(a924),x61761),x61762))+P1(f862(f862(f228(a924),f862(a105,x61761)),x61762)) % 186.59/186.36 [6192]E(f862(f862(f29(a1),x61921),x61922),f2(a1))+~P1(f862(f862(f227(a1),x61921),f2(a1)))+~P1(f862(f862(f228(a1),x61922),x61921)) % 186.59/186.36 [6205]E(f38(a1,x62051,x62052),x62051)+~P1(f862(f862(f227(a1),x62051),f2(a1)))+~P1(f862(f862(f228(a1),x62052),x62051)) % 186.59/186.36 [6219]E(f40(x62191,x62192),f39(x62191,x62192))+~P1(f862(f862(f227(a1),f2(a1)),x62191))+~P1(f862(f862(f227(a1),f2(a1)),x62192)) % 186.59/186.36 [6229]E(f862(f862(f29(a1),x62291),x62292),f2(a1))+~P1(f862(f862(f227(a1),f2(a1)),x62291))+~P1(f862(f862(f228(a1),x62291),x62292)) % 186.59/186.36 [6240]E(f38(a924,f862(f96(a924),x62401),f862(f96(a924),x62402)),f862(f96(a924),x62401))+P1(f862(a186,f862(f96(a1),x62401)))+~P1(f862(a186,f862(f96(a1),x62402))) % 186.59/186.36 [6242]E(f38(a1,x62421,x62422),x62421)+~P1(f862(f862(f227(a1),f2(a1)),x62421))+~P1(f862(f862(f228(a1),x62421),x62422)) % 186.59/186.36 [6243]E(x62431,x62432)+~P1(f862(f862(f228(a924),x62431),f862(a105,x62432)))+~P1(f862(f862(f227(a924),x62432),x62431)) % 186.59/186.36 [6257]~P76(x62571)+~P1(f862(f862(f227(x62571),x62572),f2(x62571)))+P1(f862(f862(f227(x62571),x62572),f862(f72(x62571),x62572))) % 186.59/186.36 [6258]~P112(x62581)+~P1(f862(f862(f228(x62581),x62582),f2(x62581)))+P1(f862(f862(f228(x62581),x62582),f862(f72(x62581),x62582))) % 186.59/186.36 [6267]~P3(x62671)+E(f862(f862(f57(x62671,x62671,f94(x62671)),f234(x62671)),x62672),f31(x62671,x62672))+~P1(f862(f54(x62671),x62672)) % 186.59/186.36 [6268]~P3(x62681)+E(f862(f862(f57(x62681,x62681,f103(x62681)),f181(x62681)),x62682),f30(x62681,x62682))+~P1(f862(f54(x62681),x62682)) % 186.59/186.36 [6285]~P112(x62851)+~P1(f862(f862(f227(a1),f2(a1)),x62852))+P1(f862(f862(f227(x62851),f2(x62851)),f862(f95(x62851),x62852))) % 186.59/186.36 [6286]~P127(x62861)+~P1(f862(f862(f228(a924),f2(a924)),x62862))+P1(f862(f862(f228(x62861),f2(x62861)),f862(f93(x62861),x62862))) % 186.59/186.36 [6287]~P112(x62871)+~P1(f862(f862(f228(a1),f2(a1)),x62872))+P1(f862(f862(f228(x62871),f2(x62871)),f862(f95(x62871),x62872))) % 186.59/186.36 [6290]~P4(x62902)+~P4(x62901)+E(f862(f302(a924,a1,f93(a1)),f296(a924,f862(a97,x62901),f862(a97,x62902))),f296(a1,x62901,x62902)) % 186.59/186.36 [6296]P1(f862(x62961,x62962))+~P1(f862(f862(f227(a1),f2(a1)),x62962))+~P1(f862(x62961,f862(f93(a1),f410(x62961)))) % 186.59/186.36 [6326]E(f862(f862(f73(a924),f862(f96(a924),x63261)),f862(f96(a924),x63262)),f862(f96(a924),x63261))+P1(f862(f862(f228(a1),x63261),a76))+~P1(f862(f862(f228(a1),x63262),a76)) % 186.59/186.36 [6330]~P112(x63301)+P1(f862(f862(f228(x63301),f2(x63301)),f75(x63301,x63302)))+~P1(f862(f862(f228(x63301),f2(x63301)),x63302)) % 186.59/186.36 [6344]~P78(x63441)+~P1(f862(f862(f227(x63441),x63442),f2(x63441)))+P1(f862(f862(f227(x63441),f2(x63441)),f862(f72(x63441),x63442))) % 186.59/186.36 [6345]~P78(x63451)+~P1(f862(f862(f228(x63451),x63452),f2(x63451)))+P1(f862(f862(f228(x63451),f2(x63451)),f862(f72(x63451),x63452))) % 186.59/186.36 [6348]E(x63481,f234(f932(x63482,a921)))+~E(f862(f28(x63482),x63481),f862(f28(x63482),f234(f932(x63482,a921))))+~P1(f862(f54(x63482),f234(f932(x63482,a921)))) % 186.59/186.36 [6375]~P1(f862(f862(f228(a924),f2(a924)),x63752))+~P1(f862(f862(f278(a924),x63751),x63752))+P1(f862(f862(f227(a924),x63751),x63752)) % 186.59/186.36 [6382]~P76(x63821)+P1(f862(f862(f227(x63821),x63822),f2(x63821)))+~P1(f862(f862(f227(x63821),x63822),f862(f72(x63821),x63822))) % 186.59/186.36 [6383]~P112(x63831)+P1(f862(f862(f228(x63831),x63832),f2(x63831)))+~P1(f862(f862(f228(x63831),x63832),f862(f72(x63831),x63832))) % 186.59/186.36 [6392]~P98(x63921)+P1(f862(f862(f321(x63921),f862(f96(x63921),x63922)),f179(x63921)))+~P1(f862(f862(f227(a1),a76),x63922)) % 186.59/186.36 [6421]E(x64211,f2(a924))+~P1(f862(f862(f228(a924),x64211),f862(a105,x64212)))+P1(f862(f862(f228(a924),f329(x64212,x64211)),x64212)) % 186.59/186.36 [6445]~P112(x64451)+~P1(f862(f862(f228(x64451),f2(x64451)),f75(x64451,x64452)))+P1(f862(f862(f228(x64451),f2(x64451)),x64452)) % 186.59/186.36 [6447]~E(f862(f96(a924),x64472),f862(f96(a924),x64471))+P1(f862(f862(f227(a1),f862(f96(a1),x64471)),f2(a1)))+~P1(f862(a186,f862(f96(a1),x64472))) % 186.59/186.36 [6476]E(f862(f243(a1,a1),f43(x64761,x64762)),f862(f862(f29(a1),x64761),x64762))+~P1(f862(f862(f228(a1),x64761),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x64762)) % 186.59/186.36 [6517]E(f862(f248(a1,a1),f43(x65171,x65172)),f38(a1,x65171,x65172))+~P1(f862(f862(f228(a1),x65171),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x65172)) % 186.59/186.36 [6520]~P112(x65202)+~P1(f862(f862(f227(x65202),f2(x65202)),f862(f95(x65202),x65201)))+P1(f862(f862(f227(a1),f2(a1)),x65201)) % 186.59/186.36 [6521]~P127(x65212)+~P1(f862(f862(f228(x65212),f2(x65212)),f862(f93(x65212),x65211)))+P1(f862(f862(f228(a924),f2(a924)),x65211)) % 186.59/186.36 [6522]~P112(x65222)+~P1(f862(f862(f228(x65222),f2(x65222)),f862(f95(x65222),x65221)))+P1(f862(f862(f228(a1),f2(a1)),x65221)) % 186.59/186.36 [6526]E(f862(f243(a1,a1),f40(x65261,x65262)),f862(f862(f29(a1),x65261),x65262))+~P1(f862(f862(f227(a1),f2(a1)),x65262))+~P1(f862(f862(f228(a1),f2(a1)),x65261)) % 186.59/186.36 [6540]E(f862(f248(a1,a1),f40(x65401,x65402)),f38(a1,x65401,x65402))+~P1(f862(f862(f227(a1),f2(a1)),x65402))+~P1(f862(f862(f228(a1),f2(a1)),x65401)) % 186.59/186.36 [6555]~P78(x65551)+P1(f862(f862(f227(x65551),x65552),f2(x65551)))+~P1(f862(f862(f227(x65551),f2(x65551)),f862(f72(x65551),x65552))) % 186.59/186.36 [6556]~P78(x65561)+P1(f862(f862(f228(x65561),x65562),f2(x65561)))+~P1(f862(f862(f228(x65561),f2(x65561)),f862(f72(x65561),x65562))) % 186.59/186.36 [6583]P1(f862(f42(x65831,x65832),f43(x65831,x65832)))+~P1(f862(f862(f228(a1),x65831),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x65832)) % 186.59/186.36 [6595]~P1(f862(f862(f228(a924),f2(a924)),x65951))+~P1(f862(f862(f278(a924),x65952),x65951))+~P1(f862(f862(f228(a924),x65951),x65952)) % 186.59/186.36 [6608]P1(f862(f42(x66081,x66082),f40(x66081,x66082)))+~P1(f862(f862(f227(a1),f2(a1)),x66081))+~P1(f862(f862(f228(a1),f2(a1)),x66082)) % 186.59/186.36 [6651]~P78(x66511)+P1(f862(f862(f227(x66511),f862(f72(x66511),x66512)),f2(x66511)))+~P1(f862(f862(f227(x66511),f2(x66511)),x66512)) % 186.59/186.36 [6652]~P78(x66521)+P1(f862(f862(f228(x66521),f862(f72(x66521),x66522)),f2(x66521)))+~P1(f862(f862(f228(x66521),f2(x66521)),x66522)) % 186.59/186.36 [6671]E(f862(f862(f3(a924),f862(a97,x66711)),f862(a97,x66712)),f862(a97,f187(x66711,x66712)))+~P1(f862(f862(f227(a1),f2(a1)),x66712))+~P1(f862(f862(f227(a1),f2(a1)),x66711)) % 186.59/186.36 [6689]P1(f862(f862(f227(a1),f2(a1)),f187(x66891,x66892)))+~P1(f862(f862(f227(a1),f2(a1)),x66892))+~P1(f862(f862(f227(a1),f2(a1)),x66891)) % 186.59/186.36 [6727]~P1(f862(x67271,x67272))+P1(f862(x67271,f2(a924)))+P1(f862(x67271,f862(f862(f73(a924),f360(x67272,x67271)),f71(a924)))) % 186.59/186.36 [6812]E(f862(f96(a924),x68121),f862(f96(a924),x68122))+~P1(f862(f862(f227(a1),f862(f96(a1),x68122)),f2(a1)))+~P1(f862(a186,f862(f96(a1),x68121))) % 186.59/186.36 [6825]~E(x68251,f2(a924))+~E(f681(x68252,x68251),f2(a924))+E(f862(f135(a924,a924,f73(a924),x68251),x68252),f2(a924)) % 186.59/186.36 [6850]~P1(f862(f54(x68501),f883(x68502,x68501)))+~P1(f862(f54(f932(x68501,a921)),x68502))+P1(f862(f54(x68501),f30(f932(x68501,a921),x68502))) % 186.59/186.36 [6856]E(x68561,x68562)+P1(f862(f862(f228(a1),x68561),x68562))+~P1(f862(f862(f228(a1),x68561),f862(f862(f73(a1),x68562),f71(a1)))) % 186.59/186.36 [6857]P1(f862(f862(f227(a924),f862(a97,x68571)),f862(a97,x68572)))+~P1(f862(f862(f227(a1),f2(a1)),x68572))+~P1(f862(f862(f227(a1),x68571),x68572)) % 186.59/186.36 [6858]P1(f862(f862(f227(a924),f862(a97,x68581)),f862(a97,x68582)))+~P1(f862(f862(f228(a1),f2(a1)),x68581))+~P1(f862(f862(f227(a1),x68581),x68582)) % 186.59/186.36 [6860]P1(f862(f862(f228(a924),f862(a97,x68601)),f862(a97,x68602)))+~P1(f862(f862(f227(a1),f2(a1)),x68601))+~P1(f862(f862(f228(a1),x68601),x68602)) % 186.59/186.36 [6861]P1(f862(f862(f228(a924),f862(a97,x68611)),f862(a97,x68612)))+~P1(f862(f862(f228(a1),f2(a1)),x68612))+~P1(f862(f862(f228(a1),x68611),x68612)) % 186.59/186.36 [6872]E(f38(a924,f862(a97,x68721),f862(a97,x68722)),f862(a97,f38(a1,x68721,x68722)))+~P1(f862(f862(f227(a1),f2(a1)),x68722))+~P1(f862(f862(f227(a1),f2(a1)),x68721)) % 186.59/186.36 [6895]~P78(x68951)+~P1(f862(f862(f227(x68951),f862(f72(x68951),x68952)),f2(x68951)))+P1(f862(f862(f227(x68951),f2(x68951)),x68952)) % 186.59/186.36 [6896]~P78(x68961)+~P1(f862(f862(f228(x68961),f862(f72(x68961),x68962)),f2(x68961)))+P1(f862(f862(f228(x68961),f2(x68961)),x68962)) % 186.59/186.36 [6911]~P1(f862(f862(f228(a1),a76),x69112))+~P1(f862(f862(f228(a1),x69111),x69112))+P1(f862(f862(f228(a924),f862(f96(a924),x69111)),f862(f96(a924),x69112))) % 186.59/186.36 [7004]~P1(f862(f862(f227(a1),f2(a1)),x70041))+P1(f862(f862(f228(a924),f862(a97,x70041)),x70042))+~P1(f862(f862(f228(a1),x70041),f862(f93(a1),x70042))) % 186.59/186.36 [7009]P1(f862(x70091,x70092))+~P1(f862(x70091,f862(a22,f821(x70091,x70092))))+~P1(f862(f862(f321(a924),x70092),f234(f932(a924,a921)))) % 186.59/186.36 [7020]E(x70201,f2(a1))+E(f38(a1,x70202,x70201),f2(a1))+E(f862(f862(f3(a1),f862(f72(a1),f862(f862(f29(a1),x70202),x70201))),f71(a1)),f862(f862(f29(a1),x70202),f862(f72(a1),x70201))) % 186.59/186.36 [7034]~P1(f862(f862(f227(a1),f2(a1)),x70341))+~P1(f862(f862(f228(a924),f862(a97,x70341)),x70342))+P1(f862(f862(f228(a1),x70341),f862(f93(a1),x70342))) % 186.59/186.36 [7070]~P1(f862(f862(f227(a924),f862(a97,x70701)),f862(a97,x70702)))+~P1(f862(f862(f227(a1),f2(a1)),x70702))+P1(f862(f862(f227(a1),x70701),x70702)) % 186.59/186.36 [7071]~P1(f862(f862(f227(a924),f862(a97,x70711)),f862(a97,x70712)))+~P1(f862(f862(f228(a1),f2(a1)),x70711))+P1(f862(f862(f227(a1),x70711),x70712)) % 186.59/186.36 [7101]P1(f862(f862(f227(a1),x71011),x71012))+~P1(f862(f862(f227(a924),f862(f96(a924),x71011)),f862(f96(a924),x71012)))+P1(f862(f862(f227(a1),x71011),a76)) % 186.59/186.36 [7127]P1(f862(f862(f227(a1),f2(a1)),f38(a1,x71271,x71272)))+~P1(f862(f862(f227(a1),f2(a1)),x71272))+~P1(f862(f862(f227(a1),f2(a1)),x71271)) % 186.59/186.36 [7223]P1(f862(f862(f228(a1),a76),x72231))+~P1(f862(f862(f228(a1),x72232),x72231))+~P1(f862(f862(f228(a924),f862(f96(a924),x72232)),f862(f96(a924),x72231))) % 186.59/186.36 [7278]E(f862(f862(f244(a1,a1),f862(f862(f29(a1),x72781),x72782)),f38(a1,x72781,x72782)),f43(x72781,x72782))+~P1(f862(f862(f228(a1),x72781),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x72782)) % 186.59/186.36 [7298]E(f862(f862(f244(a1,a1),f862(f862(f29(a1),x72981),x72982)),f38(a1,x72981,x72982)),f40(x72981,x72982))+~P1(f862(f862(f227(a1),f2(a1)),x72982))+~P1(f862(f862(f227(a1),f2(a1)),x72981)) % 186.59/186.36 [7352]~P100(x73522)+E(x73521,f106(x73522))+E(f862(f135(x73522,x73522,f74(x73522),f862(f134(x73522),x73521)),f862(f164(x73522),x73521)),f862(f56(x73522,f74(x73522)),f862(f165(x73522),x73521))) % 186.59/186.36 [7470]~E(x74701,f2(a924))+E(f862(f135(a924,a924,f73(a924),x74701),x74702),f2(a924))+P1(f862(f862(f321(a924),f681(x74702,x74701)),f862(f165(a924),x74702))) % 186.59/186.36 [7522]~P1(f862(f862(f227(a1),x75221),f2(a1)))+P1(f862(f862(f227(a1),f862(f862(f29(a1),x75221),x75222)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x75222)) % 186.59/186.36 [7523]~P1(f862(f862(f228(a1),x75232),f2(a1)))+P1(f862(f862(f227(a1),f862(f862(f29(a1),x75231),x75232)),f2(a1)))+~P1(f862(f862(f227(a1),f2(a1)),x75231)) % 186.59/186.36 [7524]~P1(f862(f862(f228(a1),x75242),f2(a1)))+P1(f862(f862(f228(a1),f862(f862(f29(a1),x75241),x75242)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x75241)) % 186.59/186.36 [7526]~P1(f862(f862(f228(a1),x75261),f2(a1)))+P1(f862(f862(f228(a1),f862(f862(f29(a1),x75261),x75262)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x75262)) % 186.59/186.36 [7532]P1(f862(f862(f321(f932(x75321,a921)),f883(x75322,x75321)),x75322))+~P1(f862(f54(f932(x75321,a921)),x75322))+P1(f862(f54(x75321),f30(f932(x75321,a921),x75322))) % 186.59/186.36 [7621]P22(x76211,x76211,x76212,f234(f932(x76211,a921)))+~E(f862(f302(x76211,x76211,x76212),f234(f932(x76211,a921))),f234(f932(x76211,a921)))+~P1(f862(f54(x76211),f234(f932(x76211,a921)))) % 186.59/186.36 [7740]~P22(x77401,x77401,x77402,f234(f932(x77401,a921)))+E(f862(f302(x77401,x77401,x77402),f234(f932(x77401,a921))),f234(f932(x77401,a921)))+~P1(f862(f54(x77401),f234(f932(x77401,a921)))) % 186.59/186.36 [7881]E(f862(f862(f29(a1),x78811),x78812),f862(f96(a1),a90))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x78811),x78812)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x78811)) % 186.59/186.36 [7938]~P1(f862(f862(f228(a1),x79382),f2(a1)))+~P1(f862(f862(f228(a1),f862(f862(f29(a1),x79381),x79382)),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x79381)) % 186.59/186.36 [7943]E(f862(f862(f73(a1),x79431),x79432),f38(a1,x79431,x79432))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),x79431),x79432)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x79431)) % 186.59/186.36 [7946]P1(f862(f862(f228(a1),x79461),f2(a1)))+~P1(f862(f862(f228(a1),f862(f862(f29(a1),x79461),x79462)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x79462)) % 186.59/186.36 [8647]~P109(x86471)+P11(x86471,x86472)+~P1(f862(f862(f227(x86471),f862(f862(f157(x86471),x86472),f715(x86472,x86471))),f862(f862(f157(x86471),x86472),f716(x86472,x86471)))) % 186.59/186.36 [8648]~P109(x86481)+P11(x86481,x86482)+~P1(f862(f862(f227(x86481),f862(f862(f157(x86481),x86482),f722(x86482,x86481))),f862(f862(f157(x86481),x86482),f727(x86482,x86481)))) % 186.59/186.36 [5862]E(x58621,f2(a1))+~E(f38(a1,x58622,x58621),f2(a1))+E(f862(f862(f29(a1),x58622),f862(f72(a1),x58621)),f862(f72(a1),f862(f862(f29(a1),x58622),x58621))) % 186.59/186.36 [5880]~P38(x58802)+~P38(x58801)+P38(f862(f862(f103(f932(a1,a921)),x58801),x58802)) % 186.59/186.36 [5881]~P38(x58812)+~P38(x58811)+P38(f862(f862(f94(f932(a1,a921)),x58811),x58812)) % 186.59/186.36 [5899]~P64(x58991)+~P98(x58991)+E(f862(f72(x58991),f862(f862(f282(x58991),f71(x58991)),x58992)),f862(f862(f282(x58991),f862(f96(x58991),a90)),x58992)) % 186.59/186.36 [6017]E(x60171,f2(a1))+~E(f38(a1,x60172,x60171),f2(a1))+E(f862(f862(f29(a1),f862(f72(a1),x60172)),x60171),f862(f72(a1),f862(f862(f29(a1),x60172),x60171))) % 186.59/186.36 [6158]~P109(x61581)+P11(x61581,x61582)+P1(f862(f862(f228(a924),f716(x61582,x61581)),f862(f182(f925(x61581)),x61582))) % 186.59/186.36 [6159]~P109(x61591)+P11(x61591,x61592)+P1(f862(f862(f228(a924),f727(x61592,x61591)),f862(f182(f925(x61591)),x61592))) % 186.59/186.36 [6320]~P98(x63201)+~E(f862(f96(x63201),x63202),f2(x63201))+P26(x63201,f862(f96(x63201),f862(f862(f73(a1),x63202),f862(f72(a1),a76)))) % 186.59/186.36 [6321]~P98(x63211)+~E(f862(f96(x63211),x63212),f2(x63211))+P26(x63211,f862(f96(x63211),f862(f862(f73(a1),a76),f862(f72(a1),x63212)))) % 186.59/186.36 [6323]E(f862(a44,f40(f862(f72(a1),x63231),f862(f72(a1),x63232))),f39(x63231,x63232))+P1(f862(f862(f227(a1),f2(a1)),x63231))+P1(f862(f862(f228(a1),f2(a1)),x63232)) % 186.59/186.36 [6453]~E(x64532,f2(a924))+~E(x64531,f2(a924))+P1(f862(f862(f227(a1),f862(f93(a1),x64531)),f862(f72(a1),f862(f93(a1),x64532)))) % 186.59/186.36 [6482]E(f862(f862(f73(a924),f862(f96(a924),x64821)),f862(f96(a924),x64822)),f862(f96(a924),f862(f862(f73(a1),x64821),x64822)))+P1(f862(f862(f228(a1),x64821),a76))+P1(f862(f862(f228(a1),x64822),a76)) % 186.59/186.36 [6617]~P76(x66171)+~P1(f862(f862(f227(x66171),f2(x66171)),x66172))+P1(f862(f862(f227(x66171),f862(f72(x66171),x66172)),x66172)) % 186.59/186.36 [6618]~P76(x66181)+~P1(f862(f862(f228(x66181),f2(x66181)),x66182))+P1(f862(f862(f228(x66181),f862(f72(x66181),x66182)),x66182)) % 186.59/186.36 [6798]E(f862(f862(f3(a924),f862(a97,x67981)),f862(a97,x67982)),f862(a97,f862(f862(f3(a1),x67981),x67982)))+~P1(f862(f862(f227(a1),f2(a1)),x67982))+~P1(f862(f862(f227(a1),x67982),x67981)) % 186.59/186.36 [6833]E(f862(a97,f38(a1,f862(f96(a1),x68331),f862(f96(a1),x68332))),f38(a924,f862(f96(a924),x68331),f862(f96(a924),x68332)))+P1(f862(a186,f862(f96(a1),x68331)))+P1(f862(a186,f862(f96(a1),x68332))) % 186.59/186.36 [6851]~P76(x68511)+P1(f862(f862(f227(x68511),f2(x68511)),x68512))+~P1(f862(f862(f227(x68511),f862(f72(x68511),x68512)),x68512)) % 186.59/186.36 [6852]~P76(x68521)+P1(f862(f862(f228(x68521),f2(x68521)),x68522))+~P1(f862(f862(f228(x68521),f862(f72(x68521),x68522)),x68522)) % 186.59/186.36 [6864]~P76(x68641)+~P1(f862(f862(f227(x68641),f2(x68641)),x68642))+P1(f862(f862(f227(x68641),f2(x68641)),f862(f862(f73(x68641),x68642),x68642))) % 186.59/186.36 [6866]~P76(x68661)+~P1(f862(f862(f228(x68661),f2(x68661)),x68662))+P1(f862(f862(f228(x68661),f2(x68661)),f862(f862(f73(x68661),x68662),x68662))) % 186.59/186.36 [6878]E(f862(f862(f73(a924),f862(a97,x68781)),f862(a97,x68782)),f862(a97,f862(f862(f73(a1),x68781),x68782)))+~P1(f862(f862(f227(a1),f2(a1)),x68782))+~P1(f862(f862(f227(a1),f2(a1)),x68781)) % 186.59/186.36 [6889]E(x68891,f2(a924))+P1(f862(f862(f228(a924),f2(a924)),x68892))+~P1(f862(f862(f228(a924),f2(a924)),f862(f862(f236(a924),x68892),x68891))) % 186.59/186.36 [6923]~P98(x69231)+E(f862(f96(x69231),x69232),f2(x69231))+~P26(x69231,f862(f96(x69231),f862(f862(f73(a1),a76),f862(f72(a1),x69232)))) % 186.59/186.36 [6924]~P98(x69241)+E(f862(f96(x69241),x69242),f2(x69241))+~P26(x69241,f862(f96(x69241),f862(f862(f73(a1),x69242),f862(f72(a1),a76)))) % 186.59/186.36 [6982]~P1(f862(f54(x69821),x69822))+~P1(f862(f54(x69821),f234(f932(x69821,a921))))+P1(f862(f54(x69821),f862(f72(f932(x69821,a921)),x69822))) % 186.59/186.36 [7005]~P1(f862(f862(f228(a1),f2(a1)),x70052))+~P1(f862(f862(f227(a1),x70052),x70051))+P1(f862(f862(f228(a1),f2(a1)),f862(f862(f29(a1),x70051),x70052))) % 186.59/186.36 [7006]~P1(f862(f862(f227(a1),x70061),f2(a1)))+~P1(f862(f862(f228(a1),x70062),f2(a1)))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f29(a1),x70061),x70062))) % 186.59/186.36 [7044]~P1(f862(f862(f227(a1),f2(a1)),x70442))+~P1(f862(f862(f227(a1),f2(a1)),x70441))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f74(a1),x70441),x70442))) % 186.59/186.36 [7045]~P1(f862(f862(f227(a1),f2(a1)),x70452))+~P1(f862(f862(f227(a1),f2(a1)),x70451))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),x70451),x70452))) % 186.59/186.36 [7046]~P1(f862(f862(f227(a1),f2(a1)),x70462))+~P1(f862(f862(f227(a1),f2(a1)),x70461))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f29(a1),x70461),x70462))) % 186.59/186.36 [7047]~P1(f862(f862(f227(a1),f2(a1)),x70471))+~P1(f862(f862(f228(a1),f2(a1)),x70472))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f29(a1),x70471),x70472))) % 186.59/186.36 [7048]~P1(f862(f862(f228(a924),f2(a924)),x70482))+~P1(f862(f862(f228(a924),f2(a924)),x70481))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f74(a924),x70481),x70482))) % 186.59/186.36 [7114]E(x71141,f2(a1))+E(f38(a1,x71142,x71141),f2(a1))+E(f862(f862(f3(a1),f862(f72(a1),f862(f862(f29(a1),x71142),x71141))),f71(a1)),f862(f862(f29(a1),f862(f72(a1),x71142)),x71141)) % 186.59/186.36 [7169]P1(f862(f862(f228(a924),f2(a924)),x71691))+P1(f862(f862(f228(a924),f2(a924)),x71692))+~P1(f862(f862(f228(a924),f2(a924)),f862(f862(f73(a924),x71692),x71691))) % 186.59/186.36 [7173]~P76(x71731)+P1(f862(f862(f227(x71731),f2(x71731)),x71732))+~P1(f862(f862(f227(x71731),f2(x71731)),f862(f862(f73(x71731),x71732),x71732))) % 186.59/186.36 [7174]~P76(x71741)+P1(f862(f862(f228(x71741),f2(x71741)),x71742))+~P1(f862(f862(f228(x71741),f2(x71741)),f862(f862(f73(x71741),x71742),x71742))) % 186.59/186.36 [7224]~P1(f862(f54(x72241),x72242))+P1(f862(f54(x72241),f234(f932(x72241,a921))))+~P1(f862(f54(x72241),f862(f72(f932(x72241,a921)),x72242))) % 186.59/186.36 [7290]P1(f862(f862(f227(a1),x72901),f2(a1)))+~P1(f862(f862(f228(a1),x72902),f2(a1)))+~P1(f862(f862(f227(a1),f2(a1)),f862(f862(f29(a1),x72901),x72902))) % 186.59/186.36 [7296]~P1(f862(f862(f228(a1),f2(a1)),x72961))+P1(f862(f862(f227(a1),x72961),x72962))+~P1(f862(f862(f228(a1),f2(a1)),f862(f862(f29(a1),x72962),x72961))) % 186.59/186.36 [7297]~P1(f862(f862(f227(a1),f2(a1)),x72972))+P1(f862(f862(f227(a1),x72971),x72972))+~P1(f862(f862(f228(a1),f2(a1)),f862(f862(f29(a1),x72972),x72971))) % 186.59/186.36 [7327]P1(f862(f862(f227(a1),f2(a1)),x73271))+~P1(f862(f862(f228(a1),f2(a1)),x73272))+~P1(f862(f862(f227(a1),f2(a1)),f862(f862(f29(a1),x73271),x73272))) % 186.59/186.36 [7328]P1(f862(f862(f228(a1),f2(a1)),x73281))+~P1(f862(f862(f227(a1),f2(a1)),x73282))+~P1(f862(f862(f228(a1),f2(a1)),f862(f862(f29(a1),x73282),x73281))) % 186.59/186.36 [7772]~P1(f862(f54(x77722),f234(f932(x77722,a921))))+~P1(f862(f54(x77721),f234(f932(x77721,a921))))+P1(f862(f54(f930(x77721,x77722)),f234(f932(f930(x77721,x77722),a921)))) % 186.59/186.36 [7773]~P1(f862(f54(x77732),f234(f932(x77732,a921))))+~P1(f862(f54(x77731),f234(f932(x77731,a921))))+P1(f862(f54(f931(x77731,x77732)),f234(f932(f931(x77731,x77732),a921)))) % 186.59/186.36 [7845]~P1(f862(f862(f228(a924),f862(a105,f2(a924))),x78451))+~P1(f862(f862(f228(a924),f862(a105,f2(a924))),x78452))+P1(f862(f862(f228(a924),x78451),f862(f862(f74(a924),x78452),x78451))) % 186.59/186.36 [7846]~P1(f862(f862(f228(a924),f862(a105,f2(a924))),x78461))+~P1(f862(f862(f228(a924),f862(a105,f2(a924))),x78462))+P1(f862(f862(f228(a924),x78461),f862(f862(f74(a924),x78461),x78462))) % 186.59/186.36 [7880]E(f862(f28(x78801),f234(f932(x78801,a921))),f862(a105,f2(a924)))+P1(f862(f54(x78802),f234(f932(x78802,a921))))+~P1(f862(f54(f932(x78802,x78801)),f234(f932(f932(x78802,x78801),a921)))) % 186.59/186.36 [8006]~P1(f862(f862(f227(a924),f862(a105,f2(a924))),x80061))+~P1(f862(f862(f227(a924),f862(a105,f2(a924))),x80062))+P1(f862(f862(f227(a924),f862(a105,f2(a924))),f862(f862(f74(a924),x80061),x80062))) % 186.59/186.36 [8007]~P1(f862(f862(f228(a924),f862(a105,f2(a924))),x80072))+~P1(f862(f862(f228(a924),f862(a105,f2(a924))),x80071))+P1(f862(f862(f228(a924),f862(a105,f2(a924))),f862(f862(f74(a924),x80071),x80072))) % 186.59/186.36 [8694]E(x86941,f106(x86942))+~P1(f862(f130(x86942),x86941))+E(f170(x86942,f862(f862(f10(a921,a921,x86942),a314),f862(f862(f9(x86942,x86942,a921),a317),f137(x86942,x86941))),x86941),f107(x86942,x86941)) % 186.59/186.36 [8791]~P38(x87912)+~P38(x87911)+E(f862(f302(a924,a1,f93(a1)),f862(f862(f103(f932(a924,a921)),f862(f302(a1,a924,a97),x87911)),f862(f302(a1,a924,a97),x87912))),f862(f862(f103(f932(a1,a921)),x87911),x87912)) % 186.59/186.36 [8792]~P38(x87922)+~P38(x87921)+E(f862(f302(a924,a1,f93(a1)),f862(f862(f94(f932(a924,a921)),f862(f302(a1,a924,a97),x87921)),f862(f302(a1,a924,a97),x87922))),f862(f862(f94(f932(a1,a921)),x87921),x87922)) % 186.59/186.36 [9461]~P98(x94611)+~E(f862(f96(x94611),x94612),f71(x94611))+P26(x94611,f862(f96(x94611),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f72(a1),x94612)))) % 186.59/186.36 [9714]~P98(x97141)+E(f862(f96(x97141),x97142),f71(x97141))+~P26(x97141,f862(f96(x97141),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f72(a1),x97142)))) % 186.59/186.36 [10474]E(x104741,f2(a1))+E(x104742,f2(a1))+E(f862(f250(a1,a1,a1,a1,f25(a1),f862(f74(a1),f75(a1,x104742))),f862(f862(f862(f89(f931(a1,a1)),f862(f862(a317,f75(a1,x104741)),f75(a1,x104742))),f46(x104741,x104742)),f862(f862(f249(a1,a1,f931(a1,a1)),f862(f862(f20(a1,f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),f862(f862(f10(f932(a1,f932(f931(a1,a1),f931(a1,a1))),f932(f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),a1),f20(a1,f931(a1,a1),f931(a1,a1))),f862(f862(f10(f931(a1,a1),f932(a1,f932(f931(a1,a1),f931(a1,a1))),a1),f862(f9(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f862(f862(f10(a921,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f89(f931(a1,a1))),f862(f862(f9(a1,a1,a921),a317),f2(a1))))),f862(f862(f9(a1,a1,f931(a1,a1)),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f72(a1))),f2(a1))))),f862(f862(f9(a1,f932(a1,a1),f932(a1,f931(a1,a1))),f862(f862(f10(f932(a1,f931(a1,a1)),f932(f932(a1,a1),f932(a1,f931(a1,a1))),a1),f10(a1,f931(a1,a1),a1)),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f862(f862(f9(a1,a1,a1),f862(f862(f10(a1,f932(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f862(f3(a1),f862(f69(a1),x104742))))),f46(x104741,x104742)))),f39(x104741,x104742)) % 186.59/186.36 [10475]E(x104751,f2(a1))+E(x104752,f2(a1))+E(f862(f250(a1,a1,a1,a1,f25(a1),f862(f74(a1),f75(a1,x104752))),f862(f862(f862(f89(f931(a1,a1)),f862(f862(a319,f862(f862(a318,f862(f862(f228(a1),f2(a1)),x104752)),f862(f862(f227(a1),f2(a1)),x104751))),f862(f862(a318,f862(f862(f228(a1),x104752),f2(a1))),f862(f862(f228(a1),x104751),f2(a1))))),f46(x104751,x104752)),f862(f862(f249(a1,a1,f931(a1,a1)),f862(f862(f20(a1,f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),f862(f862(f10(f932(a1,f932(f931(a1,a1),f931(a1,a1))),f932(f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),a1),f20(a1,f931(a1,a1),f931(a1,a1))),f862(f862(f10(f931(a1,a1),f932(a1,f932(f931(a1,a1),f931(a1,a1))),a1),f862(f9(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f862(f862(f10(a921,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f89(f931(a1,a1))),f862(f862(f9(a1,a1,a921),a317),f2(a1))))),f862(f862(f9(a1,a1,f931(a1,a1)),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f72(a1))),f2(a1))))),f862(f862(f9(a1,f932(a1,a1),f932(a1,f931(a1,a1))),f862(f862(f10(f932(a1,f931(a1,a1)),f932(f932(a1,a1),f932(a1,f931(a1,a1))),a1),f10(a1,f931(a1,a1),a1)),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f862(f862(f9(a1,a1,a1),f862(f862(f10(a1,f932(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f862(f3(a1),f862(f69(a1),x104752))))),f46(x104751,x104752)))),f39(x104751,x104752)) % 186.59/186.36 [5888]~P112(x58881)+~P98(x58881)+E(f862(f69(x58881),f862(f862(f236(x58881),f862(f96(x58881),a90)),x58882)),f71(x58881)) % 186.59/186.36 [6393]~P142(x63931)+~P1(f862(f862(f228(a1),x63932),f2(a1)))+E(f862(f72(x63931),f862(f93(x63931),f862(a97,f862(f72(a1),x63932)))),f862(f95(x63931),x63932)) % 186.59/186.36 [6601]P1(f862(f862(f227(a92),x66011),f71(a92)))+E(f862(f862(f73(a92),f71(a92)),f264(x66011,f862(f862(f29(a92),x66012),x66011))),f264(x66011,x66012))+P1(f862(f862(f228(a92),x66012),x66011)) % 186.59/186.36 [7214]~P97(x72141)+~P1(f862(f862(f321(x72141),x72142),f102(x72141)))+~E(f862(f862(f73(x72141),f862(f862(f73(x72141),f71(x72141)),x72142)),x72142),f2(x72141)) % 186.59/186.36 [7329]~P1(f862(f862(f227(a1),x73292),f2(a1)))+~P1(f862(f862(f228(a1),x73291),f2(a1)))+E(f862(f243(a1,a1),f862(a44,f40(f862(f72(a1),x73291),f862(f72(a1),x73292)))),f862(f862(f29(a1),x73291),x73292)) % 186.59/186.36 [7346]~P1(f862(f862(f227(a1),x73462),f2(a1)))+~P1(f862(f862(f228(a1),x73461),f2(a1)))+E(f862(f248(a1,a1),f862(a44,f40(f862(f72(a1),x73461),f862(f72(a1),x73462)))),f38(a1,x73461,x73462)) % 186.59/186.36 [7354]~P1(f862(f862(f228(a1),x73542),f2(a1)))+E(f862(f243(a1,a1),f862(a44,f43(f862(f72(a1),x73541),f862(f72(a1),x73542)))),f862(f862(f29(a1),x73541),x73542))+~P1(f862(f862(f228(a1),f2(a1)),x73541)) % 186.59/186.36 [7372]~P1(f862(f862(f228(a1),x73722),f2(a1)))+E(f862(f248(a1,a1),f862(a44,f43(f862(f72(a1),x73721),f862(f72(a1),x73722)))),f38(a1,x73721,x73722))+~P1(f862(f862(f228(a1),f2(a1)),x73721)) % 186.59/186.36 [7425]E(f862(f862(f29(a1),f862(f862(f236(a1),x74251),x74252)),x74251),f862(f862(f236(a1),x74251),f862(f862(f3(a924),x74252),f862(a105,f2(a924)))))+~P1(f862(f862(f228(a924),f2(a924)),x74252))+~P1(f862(f862(f228(a1),f2(a1)),x74251)) % 186.59/186.36 [7529]~P1(f862(f862(f228(a924),f2(a924)),x75291))+~P1(f862(f862(f228(a924),f2(a924)),x75292))+P1(f862(f862(f228(a924),f862(f862(f3(a924),x75291),x75292)),x75291)) % 186.59/186.36 [7530]~P1(f862(f862(f228(a924),f2(a924)),x75301))+~P1(f862(f862(f228(a924),f71(a924)),x75302))+P1(f862(f862(f228(a924),f862(f862(f29(a924),x75301),x75302)),x75301)) % 186.59/186.36 [7531]~P1(f862(f862(f228(a1),f2(a1)),x75311))+~P1(f862(f862(f228(a1),f71(a1)),x75312))+P1(f862(f862(f228(a1),f862(f862(f29(a1),x75311),x75312)),x75311)) % 186.59/186.36 [7666]E(x76661,f2(a924))+~E(x76662,f2(a1))+~P1(f862(f862(f228(a1),f2(a1)),f862(f862(f236(a1),f862(f69(a1),x76662)),x76661))) % 186.59/186.36 [8086]~E(x80862,f106(f925(x80861)))+E(f862(f182(f925(f925(x80861))),f172(x80861,x80862)),f2(a924))+~P11(a924,f862(f161(a924),f862(f862(f147(f925(x80861),a924),f182(f925(x80861))),x80862))) % 186.59/186.36 [8344]P1(f862(x83441,x83442))+~P1(f862(x83441,f862(a100,f569(x83441,x83442))))+~P1(f862(f862(f321(f932(f931(a924,a924),a921)),x83442),a91)) % 186.59/186.36 [8360]E(x83601,f106(f925(x83602)))+E(f862(f182(f925(x83602)),f862(f862(f157(f925(x83602)),x83601),f2(a924))),f862(f182(f925(f925(x83602))),f172(x83602,x83601)))+~P11(a924,f862(f161(a924),f862(f862(f147(f925(x83602),a924),f182(f925(x83602))),x83601))) % 186.59/186.36 [8501]~P36(x85011,x85012)+~P37(x85011,x85012)+P36(x85011,f862(f862(f3(f932(f931(x85011,x85011),a921)),x85012),f299(x85011,f181(f932(f931(x85011,x85011),a921))))) % 186.59/186.36 [9079]~P1(f862(f54(x90791),f862(f254(x90791),x90792)))+~P1(f862(f54(x90791),f234(f932(x90791,a921))))+P1(f862(f54(x90791),f862(f254(x90791),f862(f862(f10(a921,a921,x90791),a314),x90792)))) % 186.59/186.36 [9143]E(f862(f862(f244(a924,a924),f862(a105,f862(f862(f29(a924),f862(f862(f3(a924),x91431),x91432)),x91432))),f38(a924,f862(f862(f3(a924),x91431),x91432),x91432)),f78(f931(a924,a924),f41(x91431,x91432)))+~P1(f862(f862(f228(a924),f2(a924)),x91432))+~P1(f862(f862(f227(a924),x91432),x91431)) % 186.59/186.36 [9427]~P1(f862(f54(x94271),f862(f254(x94271),x94272)))+P1(f862(f54(x94271),f234(f932(x94271,a921))))+~P1(f862(f54(x94271),f862(f254(x94271),f862(f862(f10(a921,a921,x94271),a314),x94272)))) % 186.59/186.36 [10158]P24(x101581,x101582)+~P35(x101581,f862(f243(f932(f931(x101581,x101581),a921),f932(f931(x101581,x101581),a921)),x101582))+~P1(f862(f862(f227(f932(f931(x101581,x101581),a921)),f862(f862(f280(x101581,x101581,x101581),f862(f243(f932(f931(x101581,x101581),a921),f932(f931(x101581,x101581),a921)),x101582)),f862(f248(f932(f931(x101581,x101581),a921),f932(f931(x101581,x101581),a921)),x101582))),f862(f243(f932(f931(x101581,x101581),a921),f932(f931(x101581,x101581),a921)),x101582))) % 186.59/186.36 [10256]~E(f291(a924,f278(a924),f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x102562,x102561),f181(f932(a924,a921)))+~P1(f862(f862(f278(a924),x102562),x102561))+P1(f862(f862(f278(a924),x102561),x102562)) % 186.59/186.36 [10257]~E(f288(a924,f278(a924),f862(f862(f20(a924,f932(a924,a921),f932(a924,a921)),f862(f862(f10(f932(a924,f932(a921,a921)),f932(f932(a924,a921),f932(a924,a921)),a924),f20(a924,a921,a921)),f862(f862(f10(f932(a924,a921),f932(a924,f932(a921,a921)),a924),f862(f10(a921,f932(a921,a921),a924),a318)),f278(a924)))),f862(f862(f10(f932(a924,a921),f932(a924,a921),a924),f862(f10(a921,a921,a924),a314)),f862(f9(a924,a924,a921),f278(a924)))),x102572,x102571),f181(f932(a924,a921)))+~P1(f862(f862(f278(a924),x102572),x102571))+P1(f862(f862(f278(a924),x102571),x102572)) % 186.59/186.36 [7456]~P1(f862(f862(f228(a924),f2(a924)),x74562))+P1(f862(f862(f228(a924),x74561),x74562))+E(f862(a105,f862(f862(f29(a924),f862(f862(f3(a924),x74561),x74562)),x74562)),f862(f862(f29(a924),x74561),x74562)) % 186.59/186.36 [7594]~P1(f862(f862(f228(a924),f2(a924)),x75942))+~P1(f862(f862(f227(a924),x75942),x75941))+E(f862(a105,f862(f862(f29(a924),f862(f862(f3(a924),x75941),x75942)),x75942)),f862(f862(f29(a924),x75941),x75942)) % 186.59/186.36 [8564]~P98(x85641)+~P97(x85641)+~P26(x85641,f862(f96(x85641),f862(f862(f3(a1),f862(f862(f73(a1),x85642),x85642)),a90))) % 186.59/186.36 [9334]E(x93341,f2(a924))+E(f862(f862(f249(a924,a924,f931(a924,a924)),f862(f862(f10(a924,f932(a924,f931(a924,a924)),a924),f244(a924,a924)),a105)),f78(f931(a924,a924),f41(f862(f862(f3(a924),x93342),x93341),x93341))),f78(f931(a924,a924),f41(x93342,x93341)))+P1(f862(f862(f228(a924),x93342),x93341)) % 186.59/186.36 [9515]~P36(x95151,x95152)+~P49(x95151,x95152)+P1(f862(f862(f227(f932(f931(x95151,x95151),a921)),f862(f862(f280(x95151,x95151,x95151),f862(f277(x95151,x95151),x95152)),x95152)),x95152)) % 186.59/186.36 [9778]P1(f862(x97782,f649(x97782,x97781)))+P1(f862(x97781,f649(x97782,x97781)))+E(f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x97781)),f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x97782))) % 186.59/186.36 [9782]~P1(f862(x97822,f649(x97822,x97821)))+~P1(f862(x97821,f649(x97822,x97821)))+E(f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x97821)),f862(f254(a1),f862(f862(f20(a1,a921,a921),f862(f862(f10(a921,f932(a921,a921),a1),a318),f862(f227(a1),f2(a1)))),x97822))) % 186.59/186.36 [7803]~P65(x78031)+~P98(x78031)+E(f862(f862(f282(x78031),x78032),f862(f96(x78031),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))),x78032) % 186.59/186.36 [9460]~P98(x94601)+~E(f862(f96(x94601),x94602),f71(x94601))+P26(x94601,f862(f96(x94601),f862(f862(f73(a1),x94602),f862(f72(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.36 [9650]~P141(x96501)+~E(x96502,f71(x96501))+E(f862(f862(f236(x96501),x96502),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f71(x96501)) % 186.59/186.36 [9651]~P141(x96511)+~E(x96512,f2(x96511))+E(f862(f862(f236(x96511),x96512),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f2(x96511)) % 186.59/186.36 [9666]~P141(x96661)+~E(x96662,f862(f72(x96661),f71(x96661)))+E(f862(f862(f236(x96661),x96662),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f71(x96661)) % 186.59/186.36 [9715]~P98(x97151)+E(f862(f96(x97151),x97152),f71(x97151))+~P26(x97151,f862(f96(x97151),f862(f862(f73(a1),x97152),f862(f72(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.36 [10102]~P112(x101022)+E(x101021,f2(x101022))+P1(f862(f862(f228(x101022),f2(x101022)),f862(f862(f236(x101022),x101021),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.36 [10157]~P112(x101572)+~E(x101571,f2(x101572))+~P1(f862(f862(f228(x101572),f2(x101572)),f862(f862(f236(x101572),x101571),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.36 [10194]P1(f862(f862(f227(a1),x101941),f2(a1)))+P1(f862(f862(f228(a1),x101942),x101941))+E(f862(f36(x101941),f40(x101942,f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101941))),f40(x101942,x101941)) % 186.59/186.36 [10195]~P1(f862(f862(f228(a1),f2(a1)),x101951))+P1(f862(f862(f228(a1),x101952),x101951))+E(f862(f36(x101951),f40(x101952,f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101951))),f40(x101952,x101951)) % 186.59/186.36 [10196]P1(f862(f862(f227(a1),x101961),f2(a1)))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),x101962),x101961)))+E(f862(f36(x101961),f43(x101962,f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101961))),f43(x101962,x101961)) % 186.59/186.36 [10197]~P1(f862(f862(f228(a1),f2(a1)),x101971))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),x101972),x101971)))+E(f862(f36(x101971),f43(x101972,f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101971))),f43(x101972,x101971)) % 186.59/186.36 [10198]~P147(x101981)+~P1(f862(f862(f227(a1),f2(a1)),x101982))+E(f862(f93(x101981),f862(a97,f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x101982))),f862(f862(f73(x101981),f862(f93(x101981),f862(a97,x101982))),f862(f93(x101981),f862(a97,x101982)))) % 186.59/186.36 [5221]~P148(x52211,x52213,x52212)+~E(x52213,f2(a1))+P1(f862(x52211,x52212)) % 186.59/186.36 [5344]~P109(x53441)+~P11(x53441,x53443)+P11(x53441,f163(x53441,x53442,x53443)) % 186.59/186.36 [5345]~P109(x53451)+~P11(x53451,x53453)+P11(x53451,f170(x53451,x53452,x53453)) % 186.59/186.36 [4912]~P68(x49122)+~E(x49123,f862(f72(x49122),x49121))+E(x49121,f862(f72(x49122),x49123)) % 186.59/186.36 [4914]~P68(x49141)+~E(f862(f72(x49141),x49143),x49142)+E(f862(f72(x49141),x49142),x49143) % 186.59/186.36 [4994]~P109(x49943)+E(x49941,x49942)+~E(f862(f293(x49943),x49941),f862(f293(x49943),x49942)) % 186.59/186.36 [4995]~P109(x49953)+E(x49951,x49952)+~E(f862(f294(x49953),x49951),f862(f294(x49953),x49952)) % 186.59/186.36 [4996]~P109(x49963)+E(x49961,x49962)+~E(f862(f274(x49963),x49961),f862(f274(x49963),x49962)) % 186.59/186.36 [4997]~P109(x49973)+E(x49971,x49972)+~E(f862(f292(x49973),x49971),f862(f292(x49973),x49972)) % 186.59/186.36 [4998]~P96(x49983)+E(x49981,x49982)+~E(f862(f72(x49983),x49981),f862(f72(x49983),x49982)) % 186.59/186.36 [4999]~P68(x49993)+E(x49991,x49992)+~E(f862(f72(x49993),x49991),f862(f72(x49993),x49992)) % 186.59/186.36 [5000]~P105(x50003)+E(x50001,x50002)+~E(f862(f93(x50003),x50001),f862(f93(x50003),x50002)) % 186.59/186.36 [5001]~P97(x50013)+E(x50011,x50012)+~E(f862(f95(x50013),x50011),f862(f95(x50013),x50012)) % 186.59/186.36 [5103]~P63(x51031)+~P1(f862(x51032,x51033))+P1(f862(f49(x51031),x51032)) % 186.59/186.36 [5139]~P63(x51393)+P1(f862(x51391,x51392))+~P1(f862(f50(x51393),x51391)) % 186.59/186.36 [5241]~P149(x52411,x52412,x52413)+~E(x52412,f2(a1))+P1(f862(x52411,f2(a1))) % 186.59/186.36 [5280]~E(x52801,f2(a924))+E(f327(x52801,x52802,x52803),f181(f932(x52803,a921)))+~E(f862(f28(x52803),x52802),f862(a105,x52801)) % 186.59/186.36 [5430]~E(x54302,f2(a924))+E(f862(f243(a924,a924),x54301),f2(a924))+~P1(f862(f41(x54303,x54302),x54301)) % 186.59/186.36 [5470]P1(f862(x54701,x54702))+~E(x54703,f862(f93(a1),x54702))+~P1(f862(x54701,f862(a97,x54703))) % 186.59/186.36 [5952]~E(x59523,f2(a924))+~P1(f862(x59521,x59522))+P1(f862(x59521,f38(a924,x59522,x59523))) % 186.59/186.36 [6187]~P106(x61872)+~P106(x61871)+E(f124(x61871,x61872,f125(x61871,x61873),f125(x61872,x61873)),f125(f931(x61871,x61872),x61873)) % 186.59/186.36 [6374]~E(x63743,f2(a924))+P1(f862(x63741,x63742))+~P1(f862(x63741,f38(a924,x63742,x63743))) % 186.59/186.36 [7069]E(x70691,f2(a924))+~P1(f862(x70692,f429(x70691,x70693,x70692)))+P1(f862(x70692,f38(a924,x70693,x70691))) % 186.59/186.36 [7179]~P3(x71791)+~P1(f862(f862(f227(x71791),x71792),f368(x71793,x71792,x71791)))+P1(f862(f862(f227(x71791),x71792),f31(x71791,x71793))) % 186.59/186.36 [7180]~P3(x71801)+~P1(f862(f862(f227(x71801),x71802),f498(x71802,x71803,x71801)))+P1(f862(f862(f227(x71801),x71802),f31(x71801,x71803))) % 186.59/186.36 [7182]~P1(f862(x71821,x71822))+~P1(f862(x71821,f429(x71823,x71822,x71821)))+P1(f862(x71821,f38(a924,x71822,x71823))) % 186.59/186.36 [7284]E(x72841,f106(x72842))+E(f862(f862(f144(x72842),f696(x72843,x72841,x72842)),f699(x72843,x72841,x72842)),x72841)+~P1(f862(f862(f321(f925(x72842)),x72841),f154(x72842,x72843))) % 186.59/186.36 [7315]~P142(x73151)+~P1(f862(f862(f321(x73151),x73152),f102(x73151)))+P1(f862(f862(f321(x73151),f862(f862(f236(x73151),x73152),x73153)),f102(x73151))) % 186.59/186.36 [7639]P35(x76391,x76392)+~P1(f862(f862(f321(x76391),x76393),f610(x76392,x76391)))+P1(f862(f862(f321(x76391),f620(x76392,x76391,x76393)),f610(x76392,x76391))) % 186.59/186.36 [7908]E(x79081,f106(x79082))+~P1(f862(f862(f321(f925(x79082)),x79081),f154(x79082,x79083)))+P1(f862(f862(f321(f925(x79082)),f699(x79083,x79081,x79082)),f154(x79082,x79083))) % 186.59/186.36 [7960]E(x79601,f2(a924))+E(f862(f862(f73(a924),f862(f862(f74(a924),x79601),f430(x79601,x79602,x79603))),f429(x79601,x79602,x79603)),x79602)+P1(f862(x79603,f38(a924,x79602,x79601))) % 186.59/186.36 [8001]~P1(f862(x80013,x80012))+E(f862(f862(f73(a924),f862(f862(f74(a924),x80011),f430(x80011,x80012,x80013))),f429(x80011,x80012,x80013)),x80012)+P1(f862(x80013,f38(a924,x80012,x80011))) % 186.59/186.36 [8143]P1(f862(f862(f228(a1),x81431),f416(x81432,x81433,x81431)))+P1(f862(f862(x81433,f862(f862(f29(a1),x81432),x81431)),f38(a1,x81432,x81431)))+~P1(f862(f862(f228(a1),x81431),f2(a1))) % 186.59/186.36 [8416]P1(f862(f862(x84162,f862(f862(f29(a1),x84161),x84163)),f38(a1,x84161,x84163)))+~P1(f862(f862(f228(a1),x84163),f2(a1)))+P1(f862(f862(f227(a1),f416(x84161,x84162,x84163)),f2(a1))) % 186.59/186.36 [8599]E(f862(f862(f73(a1),f862(f862(f74(a1),x85991),f412(x85992,x85993,x85991))),f416(x85992,x85993,x85991)),x85992)+P1(f862(f862(x85993,f862(f862(f29(a1),x85992),x85991)),f38(a1,x85992,x85991)))+~P1(f862(f862(f228(a1),x85991),f2(a1))) % 186.59/186.36 [8839]~P1(f862(f862(x88391,f412(x88392,x88391,x88393)),f416(x88392,x88391,x88393)))+P1(f862(f862(x88391,f862(f862(f29(a1),x88392),x88393)),f38(a1,x88392,x88393)))+~P1(f862(f862(f228(a1),x88393),f2(a1))) % 186.59/186.36 [9092]~P109(x90921)+~P11(x90921,x90923)+P11(x90921,f142(x90921,x90921,f7(x90921),x90922,x90923)) % 186.59/186.36 [9595]~P128(x95952)+E(x95951,f2(x95952))+~P1(f862(f862(f227(x95952),f862(f862(f73(x95952),f862(f862(f74(x95952),x95953),x95953)),f862(f862(f74(x95952),x95951),x95951))),f2(x95952))) % 186.59/186.36 [9596]~P128(x95962)+E(x95961,f2(x95962))+~P1(f862(f862(f227(x95962),f862(f862(f73(x95962),f862(f862(f74(x95962),x95961),x95961)),f862(f862(f74(x95962),x95963),x95963))),f2(x95962))) % 186.59/186.36 [10409]~P112(x104091)+~P1(f862(f862(f228(x104091),x104092),f2(x104091)))+P1(f862(f862(f228(x104091),f862(f862(f236(x104091),x104092),f862(a105,f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x104093)))),f2(x104091))) % 186.59/186.36 [10418]~P112(x104182)+E(x104181,f2(x104182))+~P1(f862(f862(f227(x104182),f862(f862(f73(x104182),f862(f862(f236(x104182),x104183),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x104182),x104181),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f2(x104182))) % 186.59/186.36 [10419]~P112(x104192)+E(x104191,f2(x104192))+~P1(f862(f862(f227(x104192),f862(f862(f73(x104192),f862(f862(f236(x104192),x104191),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x104192),x104193),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f2(x104192))) % 186.59/186.36 [4949]~E(x49492,x49493)+~P59(x49491)+E(f862(f862(f3(x49491),x49492),x49493),f2(x49491)) % 186.59/186.36 [4950]~E(x49502,x49503)+~P68(x49501)+E(f862(f862(f3(x49501),x49502),x49503),f2(x49501)) % 186.59/186.36 [4963]~P144(x49631)+~E(x49633,f2(x49631))+E(f862(f862(f73(x49631),x49632),x49633),x49632) % 186.59/186.36 [4980]~P143(x49801)+~E(x49803,f2(x49801))+E(f862(f862(f74(x49801),x49802),x49803),f2(x49801)) % 186.59/186.36 [4981]~P143(x49811)+~E(x49812,f2(x49811))+E(f862(f862(f74(x49811),x49812),x49813),f2(x49811)) % 186.59/186.36 [5003]~E(x50033,f106(x50031))+~E(x50032,f106(x50031))+E(f862(f862(f127(x50031),x50032),x50033),f106(x50031)) % 186.59/186.36 [5093]~P144(x50932)+E(x50931,f2(x50932))+~E(f862(f862(f73(x50932),x50933),x50931),x50933) % 186.59/186.36 [5094]~P68(x50941)+~E(x50942,f862(f72(x50941),x50943))+E(f862(f862(f73(x50941),x50942),x50943),f2(x50941)) % 186.59/186.36 [5101]E(x51011,f106(x51012))+E(x51013,f2(a924))+~E(f862(f862(f168(x51012),x51013),x51011),f106(x51012)) % 186.59/186.36 [5107]~P59(x51073)+E(x51071,x51072)+~E(f862(f862(f3(x51073),x51071),x51072),f2(x51073)) % 186.59/186.36 [5108]~P68(x51083)+E(x51081,x51082)+~E(f862(f862(f3(x51083),x51081),x51082),f2(x51083)) % 186.59/186.36 [5121]~P141(x51212)+E(x51211,f2(x51212))+~E(f862(f862(f236(x51212),x51211),x51213),f2(x51212)) % 186.59/186.36 [5122]~P95(x51222)+E(x51221,f181(x51222))+~E(f862(f862(f103(x51222),x51223),x51221),f181(x51222)) % 186.59/186.36 [5123]~P95(x51232)+E(x51231,f181(x51232))+~E(f862(f862(f103(x51232),x51231),x51233),f181(x51232)) % 186.59/186.36 [5124]~P94(x51242)+E(x51241,f234(x51242))+~E(f862(f862(f94(x51242),x51243),x51241),f234(x51242)) % 186.59/186.36 [5125]~P94(x51252)+E(x51251,f234(x51252))+~E(f862(f862(f94(x51252),x51251),x51253),f234(x51252)) % 186.59/186.36 [5194]~P68(x51942)+E(x51941,f862(f72(x51942),x51943))+~E(f862(f862(f73(x51942),x51941),x51943),f2(x51942)) % 186.59/186.36 [5195]~P68(x51951)+E(f862(f72(x51951),x51952),x51953)+~E(f862(f862(f73(x51951),x51952),x51953),f2(x51951)) % 186.59/186.36 [5196]~E(x51962,x51963)+~P2(x51961)+P1(f862(f862(f84(x51961),x51962),x51963)) % 186.59/186.36 [5198]~E(x51982,x51983)+~P91(x51981)+P1(f862(f862(f227(x51981),x51982),x51983)) % 186.59/186.36 [5200]~E(x52002,x52003)+~P110(x52001)+P1(f862(f862(f227(x52001),x52002),x52003)) % 186.59/186.36 [5297]~P113(x52971)+~E(x52972,f862(f72(x52971),x52973))+E(f862(f862(f74(x52971),x52972),x52972),f862(f862(f74(x52971),x52973),x52973)) % 186.59/186.36 [5305]~P109(x53051)+~P11(x53051,x53053)+P11(x53051,f862(f862(f168(x53051),x53052),x53053)) % 186.59/186.36 [5306]~P109(x53061)+~P11(x53061,x53063)+P11(x53061,f862(f862(f131(x53061),x53062),x53063)) % 186.59/186.36 [5342]E(x53421,x53422)+E(x53423,f2(a924))+~E(f862(f862(f74(a924),x53423),x53421),f862(f862(f74(a924),x53423),x53422)) % 186.59/186.36 [5343]E(x53431,x53432)+E(x53433,f2(a924))+~E(f862(f862(f74(a924),x53431),x53433),f862(f862(f74(a924),x53432),x53433)) % 186.59/186.36 [5422]~E(x54222,x54223)+~P110(x54221)+E(f296(x54221,x54222,x54223),f862(f862(f301(x54221),x54222),f181(f932(x54221,a921)))) % 186.59/186.36 [5455]E(x54551,x54552)+~P2(x54553)+~P1(f862(f862(f84(x54553),x54551),x54552)) % 186.59/186.36 [5459]~P112(x54591)+~E(f862(f69(x54591),x54592),f862(f69(x54591),x54593))+P1(f862(f862(f278(x54591),x54592),x54593)) % 186.59/186.36 [5467]~E(x54671,x54672)+~P109(x54673)+~P1(f862(f862(f228(x54673),x54671),x54672)) % 186.59/186.36 [5468]~E(x54681,x54682)+~P110(x54683)+~P1(f862(f862(f228(x54683),x54681),x54682)) % 186.59/186.36 [5481]~P110(x54811)+E(f862(f295(x54811,x54812),x54813),f181(f932(x54811,a921)))+P1(f862(f862(f228(x54811),x54812),x54813)) % 186.59/186.36 [5529]~P110(x55291)+E(f297(x55291,x55292,x55293),f181(f932(x55291,a921)))+P1(f862(f862(f228(x55291),x55292),x55293)) % 186.59/186.36 [5530]~P110(x55301)+E(f296(x55301,x55302,x55303),f181(f932(x55301,a921)))+P1(f862(f862(f227(x55301),x55302),x55303)) % 186.59/186.36 [5531]~P110(x55311)+E(f181(f932(x55311,a921)),f297(x55311,x55312,x55313))+P1(f862(f862(f228(x55311),x55312),x55313)) % 186.59/186.36 [5532]~P110(x55321)+E(f181(f932(x55321,a921)),f296(x55321,x55322,x55323))+P1(f862(f862(f227(x55321),x55322),x55323)) % 186.59/186.36 [5541]~P103(x55411)+~E(f862(f862(f103(x55411),x55412),x55413),x55413)+P1(f862(f862(f227(x55411),x55412),x55413)) % 186.59/186.36 [5542]~P104(x55421)+~E(f862(f862(f94(x55421),x55422),x55423),x55422)+P1(f862(f862(f227(x55421),x55422),x55423)) % 186.59/186.36 [5543]~P109(x55431)+~E(f862(f862(f225(x55431),x55432),x55433),x55432)+P1(f862(f862(f227(x55431),x55432),x55433)) % 186.59/186.36 [5544]~P109(x55441)+~E(f862(f862(f226(x55441),x55442),x55443),x55443)+P1(f862(f862(f227(x55441),x55442),x55443)) % 186.59/186.36 [5563]~P109(x55631)+P11(x55631,x55632)+~P11(x55631,f862(f862(f144(x55631),x55633),x55632)) % 186.59/186.36 [5564]~P109(x55641)+P11(x55641,x55642)+~P11(x55641,f862(f862(f127(x55641),x55643),x55642)) % 186.59/186.36 [5565]~P109(x55651)+P11(x55651,x55652)+~P11(x55651,f862(f862(f127(x55651),x55652),x55653)) % 186.59/186.36 [5630]~P109(x56301)+P1(f862(f862(f227(x56301),x56303),x56302))+P1(f862(f862(f227(x56301),x56302),x56303)) % 186.59/186.36 [5635]~P109(x56351)+P1(f862(f862(f228(x56351),x56353),x56352))+P1(f862(f862(f227(x56351),x56352),x56353)) % 186.59/186.36 [5672]~P103(x56721)+E(f862(f862(f103(x56721),x56722),x56723),x56722)+~P1(f862(f862(f227(x56721),x56723),x56722)) % 186.59/186.36 [5674]~P103(x56741)+E(f862(f862(f103(x56741),x56742),x56743),x56743)+~P1(f862(f862(f227(x56741),x56742),x56743)) % 186.59/186.36 [5675]~P104(x56751)+E(f862(f862(f94(x56751),x56752),x56753),x56753)+~P1(f862(f862(f227(x56751),x56753),x56752)) % 186.59/186.36 [5677]~P104(x56771)+E(f862(f862(f94(x56771),x56772),x56773),x56772)+~P1(f862(f862(f227(x56771),x56772),x56773)) % 186.59/186.36 [5678]~P109(x56781)+E(f862(f862(f225(x56781),x56782),x56783),x56783)+~P1(f862(f862(f227(x56781),x56783),x56782)) % 186.59/186.36 [5680]~P109(x56801)+E(f862(f862(f225(x56801),x56802),x56803),x56802)+~P1(f862(f862(f227(x56801),x56802),x56803)) % 186.59/186.36 [5681]~P109(x56811)+E(f862(f862(f226(x56811),x56812),x56813),x56812)+~P1(f862(f862(f227(x56811),x56813),x56812)) % 186.59/186.36 [5683]~P109(x56831)+E(f862(f862(f226(x56831),x56832),x56833),x56833)+~P1(f862(f862(f227(x56831),x56832),x56833)) % 186.59/186.36 [5690]~P121(x56902)+E(x56901,f2(x56902))+E(f862(f862(f282(x56902),f862(f72(x56902),x56903)),f862(f72(x56902),x56901)),f862(f862(f282(x56902),x56903),x56901)) % 186.59/186.36 [5743]~P110(x57431)+E(f862(f295(x57431,x57432),x57433),f181(f932(x57431,a921)))+~P1(f862(f862(f227(x57431),x57433),x57432)) % 186.59/186.36 [5777]~P110(x57771)+E(f298(x57771,x57772,x57773),f181(f932(x57771,a921)))+~P1(f862(f862(f227(x57771),x57773),x57772)) % 186.59/186.36 [5778]~P110(x57781)+E(f297(x57781,x57782,x57783),f181(f932(x57781,a921)))+~P1(f862(f862(f227(x57781),x57783),x57782)) % 186.59/186.36 [5779]~P110(x57791)+E(f296(x57791,x57792,x57793),f181(f932(x57791,a921)))+~P1(f862(f862(f228(x57791),x57793),x57792)) % 186.59/186.36 [5831]~E(f862(f862(f3(a924),x58311),x58313),x58312)+E(x58311,f862(f862(f73(a924),x58312),x58313))+~P1(f862(f862(f227(a924),x58313),x58311)) % 186.59/186.36 [5832]~E(x58321,f862(f862(f73(a924),x58323),x58322))+E(f862(f862(f3(a924),x58321),x58322),x58323)+~P1(f862(f862(f227(a924),x58322),x58321)) % 186.59/186.36 [5877]~P1(f862(x58771,x58773))+P1(f862(x58771,f331(x58771,x58772)))+~P1(f862(f862(f227(a924),x58773),x58772)) % 186.59/186.36 [5878]~P1(f862(x58781,x58783))+P1(f862(x58781,f343(x58781,x58782)))+~P1(f862(f862(f228(a924),x58783),x58782)) % 186.59/186.36 [5886]~P110(x58861)+~E(f862(f295(x58861,x58862),x58863),f181(f932(x58861,a921)))+~P1(f862(f862(f228(x58861),x58862),x58863)) % 186.59/186.36 [5891]~P91(x58911)+~P1(f862(f862(f228(x58911),x58912),x58913))+P1(f862(f862(f227(x58911),x58912),x58913)) % 186.59/186.36 [5893]~P110(x58931)+~P1(f862(f862(f228(x58931),x58932),x58933))+P1(f862(f862(f227(x58931),x58932),x58933)) % 186.59/186.36 [6002]~P110(x60021)+~E(f297(x60021,x60022,x60023),f181(f932(x60021,a921)))+~P1(f862(f862(f228(x60021),x60022),x60023)) % 186.59/186.36 [6003]~P110(x60031)+~E(f296(x60031,x60032,x60033),f181(f932(x60031,a921)))+~P1(f862(f862(f227(x60031),x60032),x60033)) % 186.59/186.36 [6004]~P110(x60041)+~E(f181(f932(x60041,a921)),f297(x60041,x60042,x60043))+~P1(f862(f862(f228(x60041),x60042),x60043)) % 186.59/186.36 [6005]~P110(x60051)+~E(f181(f932(x60051,a921)),f296(x60051,x60052,x60053))+~P1(f862(f862(f227(x60051),x60052),x60053)) % 186.59/186.36 [6015]P1(f862(x60151,x60152))+~P1(f862(x60151,f344(x60151,x60153)))+~P1(f862(f862(f227(a924),x60152),x60153)) % 186.59/186.36 [6016]P1(f862(x60161,x60162))+~P1(f862(x60161,f347(x60161,x60163)))+~P1(f862(f862(f228(a924),x60162),x60163)) % 186.59/186.36 [6024]~E(x60241,f862(a105,x60243))+P1(f862(f862(f228(a924),x60241),f862(a105,x60242)))+~P1(f862(f862(f228(a924),x60243),x60242)) % 186.59/186.36 [6043]E(x60431,x60432)+~E(f862(f862(f74(a924),x60433),x60431),f862(f862(f74(a924),x60433),x60432))+~P1(f862(f862(f228(a924),f2(a924)),x60433)) % 186.59/186.36 [6103]E(f862(x61031,f335(x61031,x61032,x61033)),f71(a924))+~E(f862(f862(f8(x61033,a924),x61031),x61032),f71(a924))+~P1(f862(f54(x61033),x61032)) % 186.59/186.36 [6120]~P3(x61201)+P1(f862(f862(f227(x61201),x61202),f30(x61201,x61203)))+~P1(f862(f862(f321(x61201),x61202),x61203)) % 186.59/186.36 [6143]~P91(x61431)+~P1(f862(f862(f228(x61431),x61433),x61432))+~P1(f862(f862(f227(x61431),x61432),x61433)) % 186.59/186.36 [6147]~P91(x61471)+~P1(f862(f862(f228(x61471),x61473),x61472))+~P1(f862(f862(f228(x61471),x61472),x61473)) % 186.59/186.36 [6150]~P109(x61501)+~P1(f862(f862(f228(x61501),x61503),x61502))+~P1(f862(f862(f227(x61501),x61502),x61503)) % 186.59/186.36 [6151]~P109(x61511)+~P1(f862(f862(f228(x61511),x61513),x61512))+~P1(f862(f862(f228(x61511),x61512),x61513)) % 186.59/186.36 [6152]~P110(x61521)+~P1(f862(f862(f228(x61521),x61523),x61522))+~P1(f862(f862(f228(x61521),x61522),x61523)) % 186.59/186.36 [6172]~E(x61722,x61723)+~E(x61721,x61722)+E(f281(a924,f278(a924),x61721,x61722),f862(f862(f301(a924),x61723),f181(f932(a924,a921)))) % 186.59/186.36 [6179]~E(f862(x61792,f336(x61792,x61793,x61791)),f2(a924))+E(f862(f862(f8(x61791,a924),x61792),x61793),f2(a924))+~P1(f862(f54(x61791),x61793)) % 186.59/186.36 [6180]~E(f862(x61802,f914(x61802,x61803,x61801)),f71(a924))+E(f862(f862(f11(x61801,a924),x61802),x61803),f71(a924))+~P1(f862(f54(x61801),x61803)) % 186.59/186.36 [6196]~P108(x61961)+~P1(f862(f862(f228(x61961),x61963),x61962))+P1(f862(f862(f321(x61961),x61962),f862(f293(x61961),x61963))) % 186.59/186.36 [6197]~P108(x61971)+~P1(f862(f862(f227(x61971),x61973),x61972))+P1(f862(f862(f321(x61971),x61972),f862(f274(x61971),x61973))) % 186.59/186.36 [6198]~P108(x61981)+~P1(f862(f862(f227(x61981),x61982),x61983))+P1(f862(f862(f321(x61981),x61982),f862(f294(x61981),x61983))) % 186.59/186.36 [6199]~P108(x61991)+~P1(f862(f862(f228(x61991),x61992),x61993))+P1(f862(f862(f321(x61991),x61992),f862(f292(x61991),x61993))) % 186.59/186.36 [6200]~P115(x62001)+~P1(f862(f862(f278(x62001),x62002),x62003))+P1(f862(f862(f278(x62001),x62002),f862(f72(x62001),x62003))) % 186.59/186.36 [6201]~P112(x62011)+~P1(f862(f862(f278(x62011),x62012),x62013))+P1(f862(f862(f278(x62011),x62012),f862(f69(x62011),x62013))) % 186.59/186.36 [6214]E(f862(x62141,f333(x62141,x62142,x62143)),f862(a105,f2(a924)))+~E(f862(f862(f8(x62143,a924),x62141),x62142),f862(a105,f2(a924)))+~P1(f862(f54(x62143),x62142)) % 186.59/186.36 [6297]~P3(x62971)+~P1(f862(f862(f321(x62971),x62973),x62972))+P1(f862(f862(f227(x62971),f31(x62971,x62972)),x62973)) % 186.59/186.36 [6317]~P1(f862(f862(f227(a924),x63171),x63173))+P1(f862(f862(f227(a924),x63171),x63172))+~P1(f862(f862(f227(a924),x63173),x63172)) % 186.59/186.36 [6318]~P1(f862(f862(f227(a1),x63181),x63183))+P1(f862(f862(f227(a1),x63181),x63182))+~P1(f862(f862(f227(a1),x63183),x63182)) % 186.59/186.36 [6338]~P108(x63381)+~P1(f862(f862(f321(x63381),x63383),f862(f274(x63381),x63382)))+P1(f862(f862(f227(x63381),x63382),x63383)) % 186.59/186.36 [6339]~P108(x63391)+~P1(f862(f862(f321(x63391),x63392),f862(f294(x63391),x63393)))+P1(f862(f862(f227(x63391),x63392),x63393)) % 186.59/186.36 [6340]~P108(x63401)+~P1(f862(f862(f321(x63401),x63403),f862(f293(x63401),x63402)))+P1(f862(f862(f228(x63401),x63402),x63403)) % 186.59/186.36 [6341]~P108(x63411)+~P1(f862(f862(f321(x63411),x63412),f862(f292(x63411),x63413)))+P1(f862(f862(f228(x63411),x63412),x63413)) % 186.59/186.36 [6342]~P112(x63421)+~P1(f862(f862(f278(x63421),x63422),f862(f69(x63421),x63423)))+P1(f862(f862(f278(x63421),x63422),x63423)) % 186.59/186.36 [6343]~P115(x63431)+~P1(f862(f862(f278(x63431),x63432),f862(f72(x63431),x63433)))+P1(f862(f862(f278(x63431),x63432),x63433)) % 186.59/186.36 [6418]~P1(f862(x64181,x64182))+P1(f862(x64181,f792(x64181)))+~P1(f862(f862(f321(x64183),x64182),f234(f932(x64183,a921)))) % 186.59/186.36 [6565]~P66(x65651)+P1(f862(f862(f228(x65651),f2(x65651)),f363(x65653,x65652,x65651)))+P1(f862(f862(f227(x65651),x65652),x65653)) % 186.59/186.36 [6566]~P67(x65661)+P1(f862(f862(f228(x65661),f2(x65661)),f436(x65663,x65662,x65661)))+P1(f862(f862(f227(x65661),x65662),x65663)) % 186.59/186.36 [6634]~P78(x66341)+~P1(f862(f862(f227(x66341),x66343),f862(f72(x66341),x66342)))+P1(f862(f862(f227(x66341),x66342),f862(f72(x66341),x66343))) % 186.59/186.36 [6636]~P78(x66361)+~P1(f862(f862(f228(x66361),x66363),f862(f72(x66361),x66362)))+P1(f862(f862(f228(x66361),x66362),f862(f72(x66361),x66363))) % 186.59/186.36 [6648]~P1(f862(f862(f228(a924),x66481),x66483))+~P1(f862(f862(f228(a924),x66483),x66482))+P1(f862(f862(f228(a924),f862(a105,x66481)),x66482)) % 186.59/186.36 [6677]~P127(x66771)+P1(f862(f862(f227(x66771),f862(f93(x66771),x66772)),f862(f93(x66771),x66773)))+~P1(f862(f862(f227(a924),x66772),x66773)) % 186.59/186.36 [6678]~P112(x66781)+P1(f862(f862(f227(x66781),f862(f95(x66781),x66782)),f862(f95(x66781),x66783)))+~P1(f862(f862(f227(a1),x66782),x66783)) % 186.59/186.36 [6680]~P112(x66801)+P1(f862(f862(f228(x66801),f862(f95(x66801),x66802)),f862(f95(x66801),x66803)))+~P1(f862(f862(f228(a1),x66802),x66803)) % 186.59/186.36 [6681]~P127(x66811)+P1(f862(f862(f228(x66811),f862(f93(x66811),x66812)),f862(f93(x66811),x66813)))+~P1(f862(f862(f228(a924),x66812),x66813)) % 186.59/186.36 [6687]~P109(x66871)+E(f862(f862(f103(f932(x66871,a921)),f862(f292(x66871),x66872)),f862(f295(x66871,x66872),x66873)),f862(f292(x66871),x66873))+~P1(f862(f862(f227(x66871),x66872),x66873)) % 186.59/186.36 [6718]~P78(x67181)+~P1(f862(f862(f227(x67181),x67183),x67182))+P1(f862(f862(f227(x67181),f862(f72(x67181),x67182)),f862(f72(x67181),x67183))) % 186.59/186.36 [6720]~P96(x67201)+~P1(f862(f862(f227(x67201),x67203),x67202))+P1(f862(f862(f227(x67201),f862(f72(x67201),x67202)),f862(f72(x67201),x67203))) % 186.59/186.36 [6721]~P78(x67211)+~P1(f862(f862(f228(x67211),x67213),x67212))+P1(f862(f862(f228(x67211),f862(f72(x67211),x67212)),f862(f72(x67211),x67213))) % 186.59/186.36 [6757]~P109(x67571)+E(f862(f862(f103(f932(x67571,a921)),f862(f294(x67571),x67572)),f298(x67571,x67572,x67573)),f862(f292(x67571),x67573))+~P1(f862(f862(f228(x67571),x67572),x67573)) % 186.59/186.36 [6758]~P109(x67581)+E(f862(f862(f103(f932(x67581,a921)),f862(f294(x67581),x67582)),f297(x67581,x67582,x67583)),f862(f294(x67581),x67583))+~P1(f862(f862(f227(x67581),x67582),x67583)) % 186.59/186.36 [6759]~P109(x67591)+E(f862(f862(f103(f932(x67591,a921)),f862(f292(x67591),x67592)),f296(x67591,x67592,x67593)),f862(f294(x67591),x67593))+~P1(f862(f862(f227(x67591),x67592),x67593)) % 186.59/186.36 [6793]~P109(x67931)+E(f862(f862(f103(f932(x67931,a921)),f862(f295(x67931,x67932),x67933)),f862(f274(x67931),x67933)),f862(f274(x67931),x67932))+~P1(f862(f862(f227(x67931),x67932),x67933)) % 186.59/186.36 [6951]~P109(x69511)+E(f862(f862(f103(f932(x69511,a921)),f298(x69511,x69512,x69513)),f862(f274(x69511),x69513)),f862(f293(x69511),x69512))+~P1(f862(f862(f228(x69511),x69512),x69513)) % 186.59/186.36 [6952]~P109(x69521)+E(f862(f862(f103(f932(x69521,a921)),f297(x69521,x69522,x69523)),f862(f293(x69521),x69523)),f862(f293(x69521),x69522))+~P1(f862(f862(f227(x69521),x69522),x69523)) % 186.59/186.36 [6953]~P109(x69531)+E(f862(f862(f103(f932(x69531,a921)),f296(x69531,x69532,x69533)),f862(f293(x69531),x69533)),f862(f274(x69531),x69532))+~P1(f862(f862(f227(x69531),x69532),x69533)) % 186.59/186.36 [6973]P1(f862(x69731,x69732))+~P1(f862(f862(f227(a924),x69732),x69733))+P1(f862(f862(f321(a924),f344(x69731,x69733)),f296(a924,f2(a924),x69733))) % 186.59/186.36 [7007]E(x70071,x70072)+~E(f862(f862(f157(x70073),x70071),f658(x70073,x70072,x70071)),f862(f862(f157(x70073),x70072),f658(x70073,x70072,x70071)))+~E(f862(f182(f925(x70073)),x70071),f862(f182(f925(x70073)),x70072)) % 186.59/186.36 [7012]~E(x70123,f862(f862(f29(a924),x70121),x70122))+~P1(f862(f862(f228(a924),f2(a924)),x70122))+P1(f862(f862(f228(a924),x70121),f862(f862(f74(a924),x70122),f862(a105,x70123)))) % 186.59/186.36 [7028]~P1(f862(x70281,x70283))+~P1(f862(f862(f227(a924),x70283),x70282))+P1(f862(f862(f321(a924),f331(x70281,x70282)),f296(a924,f2(a924),x70282))) % 186.59/186.36 [7067]~P1(f862(x70671,x70673))+P1(f862(x70671,f345(x70671,x70672)))+~P1(f862(f862(f321(a924),x70673),f296(a924,f2(a924),x70672))) % 186.59/186.36 [7086]~P127(x70863)+~P1(f862(f862(f227(x70863),f862(f93(x70863),x70861)),f862(f93(x70863),x70862)))+P1(f862(f862(f227(a924),x70861),x70862)) % 186.59/186.36 [7087]~P112(x70873)+~P1(f862(f862(f227(x70873),f862(f95(x70873),x70871)),f862(f95(x70873),x70872)))+P1(f862(f862(f227(a1),x70871),x70872)) % 186.59/186.36 [7089]~P127(x70893)+~P1(f862(f862(f228(x70893),f862(f93(x70893),x70891)),f862(f93(x70893),x70892)))+P1(f862(f862(f228(a924),x70891),x70892)) % 186.59/186.36 [7090]~P112(x70903)+~P1(f862(f862(f228(x70903),f862(f95(x70903),x70901)),f862(f95(x70903),x70902)))+P1(f862(f862(f228(a1),x70901),x70902)) % 186.59/186.36 [7107]~P127(x71071)+~P1(f862(f862(f228(x71071),f71(x71071)),x71072))+P1(f862(f862(f228(x71071),f71(x71071)),f862(f862(f236(x71071),x71072),f862(a105,x71073)))) % 186.59/186.36 [7110]~P78(x71101)+~P1(f862(f862(f227(x71101),f862(f72(x71101),x71103)),f862(f72(x71101),x71102)))+P1(f862(f862(f227(x71101),x71102),x71103)) % 186.59/186.36 [7111]~P96(x71111)+~P1(f862(f862(f227(x71111),f862(f72(x71111),x71113)),f862(f72(x71111),x71112)))+P1(f862(f862(f227(x71111),x71112),x71113)) % 186.59/186.36 [7112]~P78(x71121)+~P1(f862(f862(f228(x71121),f862(f72(x71121),x71123)),f862(f72(x71121),x71122)))+P1(f862(f862(f228(x71121),x71122),x71123)) % 186.59/186.36 [7136]P1(f862(x71361,x71362))+~P1(f862(x71361,f346(x71361,x71363)))+~P1(f862(f862(f321(a924),x71362),f296(a924,f2(a924),x71363))) % 186.59/186.36 [7158]~P66(x71581)+P1(f862(f862(f228(x71581),f363(x71583,x71582,x71581)),f71(x71581)))+P1(f862(f862(f227(x71581),x71582),x71583)) % 186.59/186.36 [7176]~E(f38(a924,x71763,x71762),f38(a924,x71761,x71762))+E(f862(f862(f73(a924),x71761),f862(f862(f74(a924),x71762),f438(x71761,x71762,x71763))),x71763)+~P1(f862(f862(f227(a924),x71761),x71763)) % 186.59/186.36 [7231]E(f862(f862(f8(x72311,a924),x72312),x72313),f2(a924))+~P1(f862(f54(x72311),x72313))+P1(f862(f862(f321(x72311),f336(x72312,x72313,x72311)),x72313)) % 186.59/186.36 [7232]E(f862(f862(f11(x72321,a924),x72322),x72323),f71(a924))+~P1(f862(f54(x72321),x72323))+P1(f862(f862(f321(x72321),f914(x72322,x72323,x72321)),x72323)) % 186.59/186.36 [7254]~P109(x72541)+~P1(f862(f862(f227(x72541),x72543),x72542))+P1(f862(f862(f227(f932(x72541,a921)),f862(f293(x72541),x72542)),f862(f293(x72541),x72543))) % 186.59/186.36 [7255]~P110(x72551)+~P1(f862(f862(f227(x72551),x72552),x72553))+P1(f862(f862(f227(f932(x72551,a921)),f862(f294(x72551),x72552)),f862(f294(x72551),x72553))) % 186.59/186.36 [7256]~P110(x72561)+~P1(f862(f862(f227(x72561),x72563),x72562))+P1(f862(f862(f227(f932(x72561,a921)),f862(f274(x72561),x72562)),f862(f274(x72561),x72563))) % 186.59/186.36 [7257]~P109(x72571)+~P1(f862(f862(f227(x72571),x72572),x72573))+P1(f862(f862(f227(f932(x72571,a921)),f862(f292(x72571),x72572)),f862(f292(x72571),x72573))) % 186.59/186.36 [7258]~P109(x72581)+~P1(f862(f862(f228(x72581),x72582),x72583))+P1(f862(f862(f228(f932(x72581,a921)),f862(f292(x72581),x72582)),f862(f292(x72581),x72583))) % 186.59/186.36 [7269]~P3(x72691)+P1(f862(f862(f227(x72691),x72692),f31(x72691,x72693)))+P1(f862(f862(f321(x72691),f368(x72693,x72692,x72691)),x72693)) % 186.59/186.36 [7270]~P3(x72701)+P1(f862(f862(f227(x72701),x72702),f31(x72701,x72703)))+P1(f862(f862(f321(x72701),f498(x72702,x72703,x72701)),x72703)) % 186.59/186.36 [7276]~P78(x72761)+P1(f862(f862(f227(x72761),f862(f862(f3(x72761),x72762),x72763)),f2(x72761)))+~P1(f862(f862(f227(x72761),x72762),x72763)) % 186.59/186.36 [7277]~P78(x72771)+P1(f862(f862(f228(x72771),f862(f862(f3(x72771),x72772),x72773)),f2(x72771)))+~P1(f862(f862(f228(x72771),x72772),x72773)) % 186.59/186.36 [7319]P1(f862(x73191,x73192))+P1(f862(f862(f227(a924),f346(x73191,x73193)),x73193))+~P1(f862(f862(f321(a924),x73192),f296(a924,f2(a924),x73193))) % 186.59/186.36 [7361]~E(f862(f862(f8(x73611,a924),x73612),x73613),f71(a924))+~P1(f862(f54(x73611),x73613))+P1(f862(f862(f321(x73611),f335(x73612,x73613,x73611)),x73613)) % 186.59/186.36 [7362]~P1(f862(x73621,x73623))+P1(f862(f862(f227(a924),f345(x73621,x73622)),x73622))+~P1(f862(f862(f321(a924),x73623),f296(a924,f2(a924),x73622))) % 186.59/186.36 [7401]~P3(x74011)+P1(f862(f862(f321(x74011),f375(x74013,x74012,x74011)),x74012))+P1(f862(f862(f227(x74011),f30(x74011,x74012)),x74013)) % 186.59/186.36 [7402]~P3(x74021)+P1(f862(f862(f321(x74021),f502(x74023,x74022,x74021)),x74022))+P1(f862(f862(f227(x74021),f30(x74021,x74022)),x74023)) % 186.59/186.36 [7436]~E(f862(f862(f8(x74361,a924),x74362),x74363),f862(a105,f2(a924)))+~P1(f862(f54(x74361),x74363))+P1(f862(f862(f321(x74361),f333(x74362,x74363,x74361)),x74363)) % 186.59/186.36 [7448]E(x74481,f2(a924))+P1(f862(x74482,f38(a924,x74483,x74481)))+P1(f862(f862(f228(a924),f429(x74481,x74483,x74482)),x74481)) % 186.59/186.36 [7559]~P1(f862(x75591,x75592))+P1(f862(x75591,f38(a924,x75592,x75593)))+P1(f862(f862(f228(a924),f429(x75593,x75592,x75591)),x75593)) % 186.59/186.36 [7670]E(x76701,f106(x76702))+~P1(f862(f862(f321(f925(x76702)),x76701),f154(x76702,x76703)))+P1(f862(f862(f321(x76702),f696(x76703,x76701,x76702)),x76703)) % 186.59/186.36 [7693]~P109(x76931)+E(f862(f862(f103(f932(x76931,a921)),f862(f862(f301(x76931),x76932),f181(f932(x76931,a921)))),f298(x76931,x76932,x76933)),f862(f295(x76931,x76932),x76933))+~P1(f862(f862(f228(x76931),x76932),x76933)) % 186.59/186.36 [7714]~P109(x77141)+E(f862(f862(f103(f932(x77141,a921)),f862(f862(f301(x77141),x77142),f181(f932(x77141,a921)))),f297(x77141,x77142,x77143)),f296(x77141,x77142,x77143))+~P1(f862(f862(f227(x77141),x77142),x77143)) % 186.59/186.36 [7825]~P109(x78251)+P1(f862(f862(f227(x78251),x78252),x78253))+~P1(f862(f862(f227(f932(x78251,a921)),f862(f293(x78251),x78253)),f862(f293(x78251),x78252))) % 186.59/186.36 [7826]~P110(x78261)+P1(f862(f862(f227(x78261),x78262),x78263))+~P1(f862(f862(f227(f932(x78261,a921)),f862(f274(x78261),x78263)),f862(f274(x78261),x78262))) % 186.59/186.36 [7827]~P109(x78271)+P1(f862(f862(f227(x78271),x78272),x78273))+~P1(f862(f862(f227(f932(x78271,a921)),f862(f292(x78271),x78272)),f862(f292(x78271),x78273))) % 186.59/186.36 [7828]~P110(x78281)+P1(f862(f862(f227(x78281),x78282),x78283))+~P1(f862(f862(f227(f932(x78281,a921)),f862(f294(x78281),x78282)),f862(f294(x78281),x78283))) % 186.59/186.36 [7829]~P109(x78291)+P1(f862(f862(f228(x78291),x78292),x78293))+~P1(f862(f862(f228(f932(x78291,a921)),f862(f292(x78291),x78292)),f862(f292(x78291),x78293))) % 186.59/186.36 [7852]~P78(x78521)+~P1(f862(f862(f227(x78521),f862(f862(f3(x78521),x78522),x78523)),f2(x78521)))+P1(f862(f862(f227(x78521),x78522),x78523)) % 186.59/186.36 [7853]~P78(x78531)+~P1(f862(f862(f228(x78531),f862(f862(f3(x78531),x78532),x78533)),f2(x78531)))+P1(f862(f862(f228(x78531),x78532),x78533)) % 186.59/186.36 [8008]E(x80081,f2(a924))+~E(f862(f135(a924,a924,f73(a924),x80082),x80083),f2(a924))+~P1(f862(f862(f321(a924),x80081),f862(f165(a924),x80083))) % 186.59/186.36 [8012]~P3(x80121)+~P1(f862(f862(f227(x80121),f375(x80123,x80122,x80121)),x80123))+P1(f862(f862(f227(x80121),f30(x80121,x80122)),x80123)) % 186.59/186.36 [8013]~P3(x80131)+~P1(f862(f862(f227(x80131),f502(x80133,x80132,x80131)),x80133))+P1(f862(f862(f227(x80131),f30(x80131,x80132)),x80133)) % 186.59/186.36 [8170]P1(f862(f862(f227(a1),f2(a1)),f417(x81701,x81702,x81703)))+P1(f862(f862(x81702,f862(f862(f29(a1),x81701),x81703)),f38(a1,x81701,x81703)))+~P1(f862(f862(f228(a1),f2(a1)),x81703)) % 186.59/186.36 [8259]E(x82591,x82592)+~E(f862(f182(f925(x82593)),x82591),f862(f182(f925(x82593)),x82592))+~P1(f862(f862(f249(x82593,x82593,a921),a317),f670(x82593,x82591,x82592))) % 186.59/186.36 [8331]~P35(x83312,x83313)+E(x83311,f181(f932(x83312,a921)))+~P1(f862(f862(f227(f932(x83312,a921)),x83311),f862(f276(x83312,x83312,x83313),x83311))) % 186.59/186.36 [8362]~P67(x83621)+~P1(f862(f862(f227(x83621),x83622),f862(f862(f73(x83621),x83623),f436(x83623,x83622,x83621))))+P1(f862(f862(f227(x83621),x83622),x83623)) % 186.59/186.36 [8398]P50(x83981,x83982,x83983)+P1(f862(f862(f321(x83981),f579(x83983,x83982,x83981)),x83982))+P1(f862(f862(f321(f931(x83981,x83981)),f580(x83983,x83982,x83981)),x83983)) % 186.59/186.36 [8419]P1(f862(f862(x84192,f862(f862(f29(a1),x84191),x84193)),f38(a1,x84191,x84193)))+~P1(f862(f862(f228(a1),f2(a1)),x84193))+P1(f862(f862(f228(a1),f417(x84191,x84192,x84193)),x84193)) % 186.59/186.36 [8443]E(f862(f302(a924,a924,f862(f862(f9(a924,a924,a924),f3(a924)),x84431)),f862(f295(a924,x84432),x84433)),f181(f932(a924,a921)))+P1(f862(f862(f228(a924),x84431),x84433))+P1(f862(f862(f228(a924),x84432),x84433)) % 186.59/186.36 [8553]E(f862(f302(a924,a924,f862(f862(f9(a924,a924,a924),f3(a924)),x85531)),f862(f295(a924,x85532),x85533)),f862(f862(f301(a924),f2(a924)),f181(f932(a924,a921))))+P1(f862(f862(f228(a924),x85531),x85533))+~P1(f862(f862(f228(a924),x85532),x85533)) % 186.59/186.36 [8567]~P109(x85671)+E(f142(x85671,x85671,f7(x85671),x85672,x85673),x85673)+~P1(f862(f862(f321(x85671),x85672),f862(f165(x85671),x85673))) % 186.59/186.36 [8580]P22(x85801,x85801,x85802,x85803)+~P1(f862(f54(x85801),x85803))+~P1(f862(f862(f227(f932(x85801,a921)),x85803),f862(f302(x85801,x85801,x85802),x85803))) % 186.59/186.36 [8607]E(f862(f862(f73(a1),f862(f862(f74(a1),x86071),f418(x86072,x86073,x86071))),f417(x86072,x86073,x86071)),x86072)+P1(f862(f862(x86073,f862(f862(f29(a1),x86072),x86071)),f38(a1,x86072,x86071)))+~P1(f862(f862(f228(a1),f2(a1)),x86071)) % 186.59/186.36 [8846]~P1(f862(f862(x88461,f418(x88462,x88461,x88463)),f417(x88462,x88461,x88463)))+P1(f862(f862(x88461,f862(f862(f29(a1),x88462),x88463)),f38(a1,x88462,x88463)))+~P1(f862(f862(f228(a1),f2(a1)),x88463)) % 186.59/186.36 [9746]~P1(f862(f54(x97461),x97462))+~P1(f862(f862(f321(x97461),x97463),x97462))+P1(f862(f862(f228(a924),f862(f28(x97461),f862(f862(f3(f932(x97461,a921)),x97462),f862(f862(f301(x97461),x97463),f181(f932(x97461,a921)))))),f862(f28(x97461),x97462))) % 186.59/186.36 [10100]P1(f862(x101001,x101002))+~P1(f862(x101001,f862(f87(x101003),f773(x101001,x101002,x101003))))+~P1(f862(f862(f321(f932(f922(f930(a919,f932(x101003,f932(a920,a921))),f930(a920,x101003)),a921)),x101002),f862(f254(f932(f922(f930(a919,f932(x101003,f932(a920,a921))),f930(a920,x101003)),a921)),f88(x101003)))) % 186.59/186.36 [10353]P50(x103531,x103532,x103533)+~P1(f862(f862(f249(x103531,x103531,a921),f862(f862(f9(x103531,f932(x103531,a921),f932(x103531,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x103531,a921),f932(x103531,a921)),x103531),f10(a921,a921,x103531)),f862(f862(f10(a921,f932(a921,a921),x103531),a318),f862(f862(f9(x103531,f932(x103531,a921),a921),f321(x103531)),x103532)))),f862(f862(f9(x103531,f932(x103531,a921),a921),f321(x103531)),x103532))),f580(x103533,x103532,x103531)))+P1(f862(f862(f321(x103531),f579(x103533,x103532,x103531)),x103532)) % 186.59/186.36 [5652]~P121(x56522)+E(x56521,f2(x56522))+E(f862(f862(f282(x56522),x56523),f862(f72(x56522),x56521)),f862(f72(x56522),f862(f862(f282(x56522),x56523),x56521))) % 186.59/186.36 [5793]~E(x57933,f181(f932(x57931,a921)))+~E(x57932,f181(f932(x57931,a921)))+E(f862(f862(f103(f932(x57931,a921)),x57932),x57933),f181(f932(x57931,a921))) % 186.59/186.36 [5851]~E(x58513,f2(a924))+~P1(f862(x58511,f2(a924)))+P1(f862(x58511,f862(f862(f29(a924),x58512),x58513))) % 186.59/186.36 [5994]~P67(x59942)+E(x59941,f2(x59942))+E(f862(f862(f282(x59942),f862(f69(x59942),x59943)),f862(f69(x59942),x59941)),f862(f69(x59942),f862(f862(f282(x59942),x59943),x59941))) % 186.59/186.36 [6113]~P61(x61131)+E(f862(f862(f74(x61131),x61132),f862(f862(f29(x61131),x61133),x61132)),x61133)+~P1(f862(f862(f278(x61131),x61132),x61133)) % 186.59/186.36 [6168]~P1(f862(f54(x61681),x61683))+E(f862(f28(x61681),f862(f862(f301(x61681),x61682),x61683)),f862(a105,f862(f28(x61681),x61683)))+P1(f862(f862(f321(x61681),x61682),x61683)) % 186.59/186.36 [6246]~E(x62462,f2(a924))+P1(f862(x62461,f2(a924)))+~P1(f862(x62461,f862(f862(f29(a924),x62463),x62462))) % 186.59/186.36 [6263]~P1(f862(f54(x62631),x62633))+E(f862(f28(x62631),f862(f862(f301(x62631),x62632),x62633)),f862(f28(x62631),x62633))+~P1(f862(f862(f321(x62631),x62632),x62633)) % 186.59/186.36 [6299]~P1(f862(f54(x62991),x62993))+E(f862(f28(x62991),f862(f862(f301(x62991),x62992),x62993)),f862(f862(f73(a924),f71(a924)),f862(f28(x62991),x62993)))+P1(f862(f862(f321(x62991),x62992),x62993)) % 186.59/186.36 [6306]~P62(x63061)+E(f862(f862(f29(x63061),x63062),f862(f72(x63061),x63063)),f862(f72(x63061),f862(f862(f29(x63061),x63062),x63063)))+~P1(f862(f862(f278(x63061),x63063),x63062)) % 186.59/186.36 [6419]E(f862(f862(f73(a924),x64191),f339(x64191,x64192,x64193)),x64192)+~P1(f862(x64193,f2(a924)))+P1(f862(x64193,f862(f862(f3(a924),x64192),x64191))) % 186.59/186.36 [6420]E(f862(f862(f73(a924),x64201),f340(x64201,x64202,x64203)),x64202)+~P1(f862(x64203,f2(a924)))+P1(f862(x64203,f862(f862(f3(a924),x64202),x64201))) % 186.59/186.36 [6444]~P62(x64441)+E(f862(f862(f29(x64441),f862(f72(x64441),x64442)),x64443),f862(f72(x64441),f862(f862(f29(x64441),x64442),x64443)))+~P1(f862(f862(f278(x64441),x64443),x64442)) % 186.59/186.36 [6468]~P3(x64681)+~P1(f862(f54(x64681),x64683))+E(f862(f862(f57(x64681,x64681,f103(x64681)),x64682),x64683),f862(f862(f103(x64681),x64682),f30(x64681,x64683))) % 186.59/186.36 [6469]~P3(x64691)+~P1(f862(f54(x64691),x64693))+E(f862(f862(f57(x64691,x64691,f94(x64691)),x64692),x64693),f862(f862(f94(x64691),x64692),f31(x64691,x64693))) % 186.59/186.36 [6475]~P98(x64751)+~E(f862(f96(x64751),x64752),f862(f96(x64751),x64753))+P26(x64751,f862(f96(x64751),f862(f862(f73(a1),x64752),f862(f72(a1),x64753)))) % 186.59/186.36 [6484]~P142(x64841)+E(f862(f862(f3(x64841),f862(f93(x64841),x64842)),f862(f93(x64841),x64843)),f862(f93(x64841),f862(f862(f3(a924),x64842),x64843)))+~P1(f862(f862(f227(a924),x64843),x64842)) % 186.59/186.36 [6491]~P115(x64911)+~P1(f862(f862(f278(x64911),x64912),x64913))+P1(f862(f862(f278(x64911),f862(f72(x64911),x64912)),x64913)) % 186.59/186.36 [6492]~P112(x64921)+~P1(f862(f862(f278(x64921),x64922),x64923))+P1(f862(f862(f278(x64921),f862(f69(x64921),x64922)),x64923)) % 186.59/186.36 [6576]E(f862(f862(f73(a924),x65761),f339(x65761,x65762,x65763)),x65762)+P1(f862(f862(f228(a924),x65762),x65761))+P1(f862(x65763,f862(f862(f3(a924),x65762),x65761))) % 186.59/186.36 [6577]E(f862(f862(f73(a924),x65771),f340(x65771,x65772,x65773)),x65772)+P1(f862(f862(f228(a924),x65772),x65771))+P1(f862(x65773,f862(f862(f3(a924),x65772),x65771))) % 186.59/186.36 [6592]~P112(x65921)+E(f862(f862(f74(x65921),f862(f69(x65921),x65922)),x65923),f862(f69(x65921),f862(f862(f74(x65921),x65922),x65923)))+~P1(f862(f862(f227(x65921),f2(x65921)),x65923)) % 186.59/186.36 [6593]~P66(x65931)+E(f862(f862(f282(x65931),f862(f69(x65931),x65932)),x65933),f862(f69(x65931),f862(f862(f282(x65931),x65932),x65933)))+~P1(f862(f862(f228(x65931),f2(x65931)),x65933)) % 186.59/186.36 [6602]~P93(x66021)+~P1(f862(f54(x66021),x66023))+E(f862(f862(f57(x66021,x66021,f94(x66021)),x66022),x66023),f12(x66021,f862(f862(f301(x66021),x66022),x66023))) % 186.59/186.36 [6603]~P93(x66031)+~P1(f862(f54(x66031),x66033))+E(f862(f862(f57(x66031,x66031,f103(x66031)),x66032),x66033),f15(x66031,f862(f862(f301(x66031),x66032),x66033))) % 186.59/186.36 [6604]~P109(x66041)+~P1(f862(f54(x66041),x66043))+E(f862(f862(f57(x66041,x66041,f225(x66041)),x66042),x66043),f16(x66041,f862(f862(f301(x66041),x66042),x66043))) % 186.59/186.36 [6605]~P109(x66051)+~P1(f862(f54(x66051),x66053))+E(f862(f862(f57(x66051,x66051,f226(x66051)),x66052),x66053),f17(x66051,f862(f862(f301(x66051),x66052),x66053))) % 186.59/186.36 [6650]E(x66501,f106(x66502))+~E(f172(x66502,x66503),f106(f925(x66502)))+~P1(f862(f862(f321(f925(x66502)),x66501),f862(f165(f925(x66502)),x66503))) % 186.59/186.36 [6695]~P1(f862(f130(x66951),x66953))+P1(f862(f862(f321(x66951),x66952),f862(f165(x66951),x66953)))+P1(f862(f130(x66951),f862(f862(f144(x66951),x66952),x66953))) % 186.59/186.36 [6706]~P100(x67061)+~P1(f862(f54(x67061),x67063))+E(f862(f56(x67061,f74(x67061)),f862(f862(f301(x67061),x67062),x67063)),f862(f862(f57(x67061,x67061,f74(x67061)),x67062),x67063)) % 186.59/186.36 [6729]~P109(x67291)+~P1(f862(f54(x67291),x67293))+E(f13(x67291,f225(x67291),f862(f862(f301(x67291),x67292),x67293)),f862(f862(f57(x67291,x67291,f225(x67291)),x67292),x67293)) % 186.59/186.36 [6730]~P109(x67301)+~P1(f862(f54(x67301),x67303))+E(f14(x67301,f226(x67301),f862(f862(f301(x67301),x67302),x67303)),f862(f862(f57(x67301,x67301,f226(x67301)),x67302),x67303)) % 186.59/186.36 [6732]P1(f862(x67321,f2(a924)))+~P1(f862(f862(f228(a924),x67322),x67323))+~P1(f862(x67321,f862(f862(f3(a924),x67322),x67323))) % 186.59/186.36 [6753]~P86(x67531)+P1(f862(f862(f227(x67531),x67532),x67533))+~P1(f862(f862(f227(x67531),f862(f69(x67531),x67532)),x67533)) % 186.59/186.36 [6754]~P112(x67541)+P1(f862(f862(f228(x67541),x67542),x67543))+~P1(f862(f862(f228(x67541),f862(f69(x67541),x67542)),x67543)) % 186.59/186.36 [6755]~P112(x67551)+P1(f862(f862(f278(x67551),x67552),x67553))+~P1(f862(f862(f278(x67551),f862(f69(x67551),x67552)),x67553)) % 186.59/186.36 [6756]~P115(x67561)+P1(f862(f862(f278(x67561),x67562),x67563))+~P1(f862(f862(f278(x67561),f862(f72(x67561),x67562)),x67563)) % 186.59/186.36 [6773]E(x67731,f106(x67732))+E(f862(f134(x67732),f862(f862(f131(x67732),x67733),x67731)),f862(f862(f157(x67732),x67731),x67733))+~P1(f862(f862(f228(a924),x67733),f862(f182(f925(x67732)),x67731))) % 186.59/186.36 [6827]~P1(f862(x68271,x68273))+P1(f862(x68271,f349(x68271,x68272)))+~P1(f862(f862(f321(a924),x68273),f862(f295(a924,f2(a924)),x68272))) % 186.59/186.36 [6848]P1(f862(x68481,x68482))+~P1(f862(f862(f228(a924),x68482),x68483))+P1(f862(f862(f321(a924),f347(x68481,x68483)),f862(f295(a924,f2(a924)),x68483))) % 186.59/186.36 [6863]~P127(x68631)+~P1(f862(f862(f227(x68631),f71(x68631)),x68632))+P1(f862(f862(f227(x68631),f71(x68631)),f862(f862(f236(x68631),x68632),x68633))) % 186.59/186.36 [6865]~P127(x68651)+~P1(f862(f862(f227(x68651),f2(x68651)),x68652))+P1(f862(f862(f227(x68651),f2(x68651)),f862(f862(f236(x68651),x68652),x68653))) % 186.59/186.36 [6867]~P127(x68671)+~P1(f862(f862(f228(x68671),f2(x68671)),x68672))+P1(f862(f862(f228(x68671),f2(x68671)),f862(f862(f236(x68671),x68672),x68673))) % 186.59/186.36 [6891]~P1(f862(x68911,x68913))+~P1(f862(f862(f228(a924),x68913),x68912))+P1(f862(f862(f321(a924),f343(x68911,x68912)),f862(f295(a924,f2(a924)),x68912))) % 186.59/186.36 [6899]P1(f862(f54(x68991),x68992))+~P1(f862(f54(x68991),x68993))+~P1(f862(f862(f227(f932(x68991,a921)),x68992),x68993)) % 186.59/186.36 [6906]~P1(f862(f862(f278(a924),x69061),x69062))+~P1(f862(f862(f278(a924),x69061),x69063))+P1(f862(f862(f278(a924),x69061),f862(f862(f3(a924),x69062),x69063))) % 186.59/186.36 [6907]P1(f862(x69071,x69072))+~P1(f862(x69071,f350(x69071,x69073)))+~P1(f862(f862(f321(a924),x69072),f862(f295(a924,f2(a924)),x69073))) % 186.59/186.36 [6920]E(x69201,f2(a924))+P1(f862(x69202,f420(x69201,x69203,x69202)))+~P1(f862(x69202,f862(f862(f29(a924),x69203),x69201))) % 186.59/186.36 [6928]~P128(x69282)+E(x69281,f2(x69282))+~E(f862(f862(f73(x69282),f862(f862(f74(x69282),x69283),x69283)),f862(f862(f74(x69282),x69281),x69281)),f2(x69282)) % 186.59/186.36 [6929]~P128(x69292)+E(x69291,f2(x69292))+~E(f862(f862(f73(x69292),f862(f862(f74(x69292),x69291),x69291)),f862(f862(f74(x69292),x69293),x69293)),f2(x69292)) % 186.59/186.36 [6974]E(x69741,f2(a924))+~P1(f862(x69742,f421(x69741,x69743,x69742)))+P1(f862(x69742,f862(f862(f29(a924),x69743),x69741))) % 186.59/186.36 [6979]~P109(x69791)+~P11(x69791,x69793)+P11(x69791,f862(f862(f141(x69791,x69791,f7(x69791)),x69792),x69793)) % 186.59/186.36 [7021]P1(f862(x70211,f420(x70212,x70213,x70211)))+P1(f862(x70211,f2(a924)))+~P1(f862(x70211,f862(f862(f29(a924),x70213),x70212))) % 186.59/186.36 [7027]~P98(x70271)+E(f862(f96(x70271),x70272),f862(f96(x70271),x70273))+~P26(x70271,f862(f96(x70271),f862(f862(f73(a1),x70272),f862(f72(a1),x70273)))) % 186.59/186.36 [7093]E(x70931,f2(a1))+E(x70932,f2(a1))+~P1(f862(f42(x70932,x70932),f862(f862(f244(a1,a1),x70933),x70931))) % 186.59/186.36 [7094]E(x70941,f71(a1))+E(x70942,f2(a1))+~P1(f862(f42(x70942,x70942),f862(f862(f244(a1,a1),x70941),x70943))) % 186.59/186.36 [7109]P1(f862(x71091,x71092))+P1(f862(f862(f228(a924),f350(x71091,x71093)),x71093))+~P1(f862(f862(f321(a924),x71092),f862(f295(a924,f2(a924)),x71093))) % 186.59/186.36 [7132]~P1(f862(x71321,f339(x71323,x71322,x71321)))+~P1(f862(x71321,f2(a924)))+P1(f862(x71321,f862(f862(f3(a924),x71322),x71323))) % 186.59/186.36 [7133]~P1(f862(x71331,f340(x71333,x71332,x71331)))+~P1(f862(x71331,f2(a924)))+P1(f862(x71331,f862(f862(f3(a924),x71332),x71333))) % 186.59/186.36 [7134]~P1(f862(x71341,f421(x71343,x71342,x71341)))+~P1(f862(x71341,f2(a924)))+P1(f862(x71341,f862(f862(f29(a924),x71342),x71343))) % 186.59/186.36 [7154]~P1(f862(x71541,x71543))+P1(f862(f862(f228(a924),f349(x71541,x71542)),x71542))+~P1(f862(f862(f321(a924),x71543),f862(f295(a924,f2(a924)),x71542))) % 186.59/186.36 [7155]E(f862(f862(f3(a924),f862(f862(f3(a924),x71551),x71552)),f862(f862(f3(a924),x71553),x71552)),f862(f862(f3(a924),x71551),x71553))+~P1(f862(f862(f227(a924),x71552),x71551))+~P1(f862(f862(f227(a924),x71552),x71553)) % 186.59/186.36 [7190]~P78(x71901)+~P1(f862(f862(f227(x71901),f862(f72(x71901),x71903)),x71902))+P1(f862(f862(f227(x71901),f862(f72(x71901),x71902)),x71903)) % 186.59/186.36 [7192]~P86(x71921)+~P1(f862(f862(f227(x71921),f862(f69(x71921),x71922)),x71923))+P1(f862(f862(f227(x71921),f862(f72(x71921),x71922)),x71923)) % 186.59/186.36 [7194]~P78(x71941)+~P1(f862(f862(f228(x71941),f862(f72(x71941),x71943)),x71942))+P1(f862(f862(f228(x71941),f862(f72(x71941),x71942)),x71943)) % 186.59/186.36 [7195]~P112(x71951)+~P1(f862(f862(f228(x71951),f862(f69(x71951),x71952)),x71953))+P1(f862(f862(f228(x71951),f862(f72(x71951),x71952)),x71953)) % 186.59/186.36 [7226]~P1(f862(x72263,f339(x72262,x72261,x72263)))+P1(f862(f862(f228(a924),x72261),x72262))+P1(f862(x72263,f862(f862(f3(a924),x72261),x72262))) % 186.59/186.36 [7227]~P1(f862(x72273,f340(x72272,x72271,x72273)))+P1(f862(f862(f228(a924),x72271),x72272))+P1(f862(x72273,f862(f862(f3(a924),x72271),x72272))) % 186.59/186.36 [7280]~E(f711(x72803,x72802,x72801),f704(x72803,x72802,x72801))+E(f862(f862(f94(f932(x72801,a921)),x72802),f30(f932(x72801,a921),x72803)),f181(f932(x72801,a921)))+P1(f862(f862(f321(f932(x72801,a921)),x72802),x72803)) % 186.59/186.36 [7288]~P1(f862(f54(x72881),x72883))+P1(f862(f54(x72881),f31(f932(x72881,a921),x72882)))+~P1(f862(f862(f321(f932(x72881,a921)),x72883),x72882)) % 186.59/186.36 [7348]~P109(x73481)+E(f862(f862(f103(f932(x73481,a921)),f862(f295(x73481,x73482),x73483)),f862(f862(f301(x73481),x73483),f181(f932(x73481,a921)))),f296(x73481,x73482,x73483))+~P1(f862(f862(f227(x73481),x73482),x73483)) % 186.59/186.36 [7351]E(x73511,f2(a924))+P1(f862(f862(f228(a924),f422(x73511,x73513,x73512)),x73511))+P1(f862(x73512,f862(f862(f29(a924),x73513),x73511))) % 186.59/186.36 [7380]P1(f862(f862(f228(a924),f862(f182(f925(x73801)),x73802)),f789(x73803,x73801)))+~P1(f862(f54(f925(x73801)),x73803))+~P1(f862(f862(f321(f925(x73801)),x73802),x73803)) % 186.59/186.36 [7386]E(x73861,x73862)+~P1(f862(f862(f227(f932(x73863,a921)),x73861),x73862))+P1(f862(f862(f228(f932(x73863,a921)),x73861),x73862)) % 186.59/186.36 [7398]E(x73981,x73982)+~E(f862(f182(f925(x73983)),x73981),f862(f182(f925(x73983)),x73982))+P1(f862(f862(f228(a924),f658(x73983,x73981,x73982)),f862(f182(f925(x73983)),x73982))) % 186.59/186.36 [7449]P6(x74491,x74492,x74493)+~E(f862(f256(x74491,x74491),x74493),x74492)+~E(f862(f862(f280(x74491,x74491,x74491),f862(f277(x74491,x74491),x74493)),x74493),x74493) % 186.59/186.36 [7528]~P1(f862(x75281,f2(a924)))+P1(f862(f862(f228(a924),f422(x75283,x75282,x75281)),x75283))+P1(f862(x75281,f862(f862(f29(a924),x75282),x75283))) % 186.59/186.36 [7537]~P109(x75371)+E(f862(f862(f103(f932(x75371,a921)),f298(x75371,x75372,x75373)),f862(f862(f301(x75371),x75373),f181(f932(x75371,a921)))),f297(x75371,x75372,x75373))+~P1(f862(f862(f228(x75371),x75372),x75373)) % 186.59/186.36 [7628]~P1(f862(f54(x76281),x76283))+P1(f862(f862(f227(a924),f862(f28(x76281),x76282)),f862(f28(x76281),x76283)))+~P1(f862(f862(f227(f932(x76281,a921)),x76282),x76283)) % 186.59/186.36 [7629]~P1(f862(f54(x76291),x76293))+P1(f862(f862(f228(a924),f862(f28(x76291),x76292)),f862(f28(x76291),x76293)))+~P1(f862(f862(f228(f932(x76291,a921)),x76292),x76293)) % 186.59/186.36 [7760]E(x77601,x77602)+~P1(f862(f862(f227(f932(x77603,a921)),x77602),x77601))+~P1(f862(f862(f227(f932(x77603,a921)),x77601),x77602)) % 186.59/186.36 [7763]~P109(x77631)+P11(x77631,x77632)+~P11(x77631,f862(f862(f141(x77631,x77631,f7(x77631)),x77633),x77632)) % 186.59/186.36 [7834]~P1(f862(f862(f228(a924),x78343),x78342))+~P1(f862(f862(f228(a924),x78343),x78341))+P1(f862(f862(f228(a924),f862(f862(f3(a924),x78341),x78342)),f862(f862(f3(a924),x78341),x78343))) % 186.59/186.36 [7835]~P1(f862(f862(f227(a924),x78352),x78351))+~P1(f862(f862(f228(a924),x78351),x78353))+P1(f862(f862(f228(a924),f862(f862(f3(a924),x78351),x78352)),f862(f862(f3(a924),x78353),x78352))) % 186.59/186.36 [7850]~P1(f862(f862(f228(a1),x78502),f2(a1)))+~P1(f862(f862(f227(a1),x78503),x78501))+P1(f862(f862(f227(a1),f862(f862(f29(a1),x78501),x78502)),f862(f862(f29(a1),x78503),x78502))) % 186.59/186.36 [7867]~P1(f862(f862(f228(a924),f2(a924)),x78673))+~P1(f862(f862(f227(a924),x78673),x78672))+P1(f862(f862(f227(a924),f862(f862(f29(a924),x78671),x78672)),f862(f862(f29(a924),x78671),x78673))) % 186.59/186.36 [7868]~P1(f862(f862(f228(a1),f2(a1)),x78682))+~P1(f862(f862(f227(a1),x78681),x78683))+P1(f862(f862(f227(a1),f862(f862(f29(a1),x78681),x78682)),f862(f862(f29(a1),x78683),x78682))) % 186.59/186.36 [7872]~P1(f862(f862(f228(a924),f2(a924)),x78722))+~P1(f862(f862(f228(a924),x78721),x78723))+P1(f862(f862(f228(a924),f862(f862(f74(a924),x78721),x78722)),f862(f862(f74(a924),x78723),x78722))) % 186.59/186.36 [7873]~P1(f862(f862(f228(a924),f2(a924)),x78731))+~P1(f862(f862(f228(a924),x78732),x78733))+P1(f862(f862(f228(a924),f862(f862(f74(a924),x78731),x78732)),f862(f862(f74(a924),x78731),x78733))) % 186.59/186.36 [7874]~P1(f862(f862(f228(a1),f2(a1)),x78741))+~P1(f862(f862(f228(a1),x78742),x78743))+P1(f862(f862(f228(a1),f862(f862(f74(a1),x78741),x78742)),f862(f862(f74(a1),x78741),x78743))) % 186.59/186.36 [7923]E(x79231,f2(a924))+E(f862(f862(f73(a924),f862(f862(f74(a924),x79231),f421(x79231,x79232,x79233))),f422(x79231,x79232,x79233)),x79232)+P1(f862(x79233,f862(f862(f29(a924),x79232),x79231))) % 186.59/186.36 [7982]E(f862(f862(f73(a924),f862(f862(f74(a924),x79821),f421(x79821,x79822,x79823))),f422(x79821,x79822,x79823)),x79822)+~P1(f862(x79823,f2(a924)))+P1(f862(x79823,f862(f862(f29(a924),x79822),x79821))) % 186.59/186.36 [7999]~P1(f862(f54(x79991),x79993))+P1(f862(f862(f321(x79991),f338(x79992,x79993,x79991)),x79993))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f11(x79991,a924),x79992),x79993))) % 186.59/186.36 [8000]~P1(f862(f54(x80001),x80003))+P1(f862(f862(f321(x80001),f369(x80002,x80003,x80001)),x80003))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f11(x80001,a924),x80002),x80003))) % 186.59/186.36 [8102]E(x81021,f2(a924))+P1(f862(f862(f278(a924),x81022),x81023))+~P1(f862(f862(f278(a924),f862(f862(f74(a924),x81021),x81022)),f862(f862(f74(a924),x81021),x81023))) % 186.59/186.36 [8296]E(x82961,f181(f932(x82962,a921)))+E(x82961,f862(f862(f301(x82962),x82963),f181(f932(x82962,a921))))+~P1(f862(f862(f227(f932(x82962,a921)),x82961),f862(f862(f301(x82962),x82963),f181(f932(x82962,a921))))) % 186.59/186.36 [8332]~P1(f862(f862(f228(a924),f71(a924)),x83323))+P1(f862(f862(f227(a924),x83321),x83322))+~P1(f862(f862(f278(a924),f862(f862(f236(a924),x83323),x83321)),f862(f862(f236(a924),x83323),x83322))) % 186.59/186.36 [8334]~P1(f862(f862(f228(a924),f2(a924)),x83343))+P1(f862(f862(f227(a924),x83341),x83342))+~P1(f862(f862(f227(a924),f862(f862(f74(a924),x83343),x83341)),f862(f862(f74(a924),x83343),x83342))) % 186.59/186.36 [8335]~P1(f862(f862(f228(a924),f2(a924)),x83353))+P1(f862(f862(f227(a924),x83351),x83352))+~P1(f862(f862(f227(a924),f862(f862(f74(a924),x83351),x83353)),f862(f862(f74(a924),x83352),x83353))) % 186.59/186.36 [8337]~P1(f862(f862(f228(a924),f2(a924)),x83373))+P1(f862(f862(f228(a924),x83371),x83372))+~P1(f862(f862(f228(a924),f862(f862(f236(a924),x83373),x83371)),f862(f862(f236(a924),x83373),x83372))) % 186.59/186.36 [8339]~P1(f862(f862(f228(a924),f2(a924)),x83393))+P1(f862(f862(f278(a924),x83391),x83392))+~P1(f862(f862(f278(a924),f862(f862(f74(a924),x83393),x83391)),f862(f862(f74(a924),x83393),x83392))) % 186.59/186.36 [8379]~E(f862(f862(f94(f932(x83791,a921)),f704(x83793,x83792,x83791)),f711(x83793,x83792,x83791)),f181(f932(x83791,a921)))+E(f862(f862(f94(f932(x83791,a921)),x83792),f30(f932(x83791,a921),x83793)),f181(f932(x83791,a921)))+P1(f862(f862(f321(f932(x83791,a921)),x83792),x83793)) % 186.59/186.36 [8393]E(x83931,f106(x83932))+~E(f862(f135(f925(x83932),f925(x83932),f127(x83932),f106(x83932)),x83933),f106(x83932))+~P1(f862(f862(f321(f925(x83932)),x83931),f862(f165(f925(x83932)),x83933))) % 186.59/186.36 [8448]E(x84481,f181(f932(f932(x84482,a921),a921)))+P1(f862(f862(f321(f932(x84482,a921)),f472(x84483,x84481,x84482)),x84481))+P1(f862(f862(f227(f932(x84482,a921)),f31(f932(x84482,a921),x84481)),x84483)) % 186.59/186.36 [8454]~P71(x84541)+~P72(x84541)+E(f862(f862(f8(a1,x84541),f862(f862(f10(a924,x84541,a1),x84542),a97)),f862(f302(a924,a1,f93(a1)),x84543)),f862(f862(f8(a924,x84541),x84542),x84543)) % 186.59/186.36 [8455]~P71(x84551)+~P72(x84551)+E(f862(f862(f11(a1,x84551),f862(f862(f10(a924,x84551,a1),x84552),a97)),f862(f302(a924,a1,f93(a1)),x84553)),f862(f862(f11(a924,x84551),x84552),x84553)) % 186.59/186.36 [8497]~P1(f862(f54(x84971),x84973))+~P1(f862(f862(f228(a924),f2(a924)),f862(x84972,f338(x84972,x84973,x84971))))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f11(x84971,a924),x84972),x84973))) % 186.59/186.36 [8498]~P1(f862(f54(x84981),x84983))+~P1(f862(f862(f228(a924),f2(a924)),f862(x84982,f369(x84982,x84983,x84981))))+P1(f862(f862(f228(a924),f2(a924)),f862(f862(f11(x84981,a924),x84982),x84983))) % 186.59/186.36 [8534]~P65(x85342)+E(x85341,f71(x85342))+E(f862(f862(f282(x85342),f862(f862(f3(x85342),f862(f862(f236(x85342),x85341),x85343)),f71(x85342))),f862(f862(f3(x85342),x85341),f71(x85342))),f862(f862(f8(a924,x85342),f862(f236(x85342),x85341)),f862(f295(a924,f2(a924)),x85343))) % 186.59/186.36 [8591]E(x85911,f2(a924))+~P1(f862(x85913,f862(f862(f29(a924),x85912),x85911)))+P1(f862(f862(f228(a924),x85912),f862(f862(f74(a924),x85911),f862(a105,f420(x85911,x85912,x85913))))) % 186.59/186.36 [8610]P1(f862(x86101,f2(a924)))+~P1(f862(x86101,f862(f862(f29(a924),x86102),x86103)))+P1(f862(f862(f228(a924),x86102),f862(f862(f74(a924),x86103),f862(a105,f420(x86103,x86102,x86101))))) % 186.59/186.36 [8649]E(x86491,f2(a924))+~P1(f862(x86493,f862(f862(f29(a924),x86492),x86491)))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x86491),f420(x86491,x86492,x86493))),x86492)) % 186.59/186.36 [8680]P1(f862(x86801,f2(a924)))+~P1(f862(x86801,f862(f862(f29(a924),x86803),x86802)))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x86802),f420(x86802,x86803,x86801))),x86803)) % 186.59/186.36 [8688]~P109(x86881)+E(f862(f862(f141(x86881,x86881,f7(x86881)),x86882),x86883),f142(x86881,x86881,f7(x86881),x86882,x86883))+P1(f862(f862(f321(x86881),x86882),f862(f165(x86881),x86883))) % 186.59/186.36 [8724]~E(f862(x87243,f595(x87242,x87243,x87241)),f862(x87243,f597(x87242,x87243,x87241)))+~P57(x87241,f862(x87243,f596(x87242,x87243,x87241)))+P57(x87241,f862(f862(f33(x87242,f932(x87241,f932(x87241,a921))),f234(f932(x87242,a921))),x87243)) % 186.59/186.36 [8733]E(x87331,f181(f932(f932(x87332,a921),a921)))+~P1(f862(f862(f227(f932(x87332,a921)),f472(x87333,x87331,x87332)),x87333))+P1(f862(f862(f227(f932(x87332,a921)),f31(f932(x87332,a921),x87331)),x87333)) % 186.59/186.36 [8794]~P67(x87941)+~P1(f862(f862(f228(x87941),x87942),x87943))+P1(f862(f862(f228(x87941),x87942),f862(f862(f282(x87941),f862(f862(f73(x87941),x87942),x87943)),f862(f862(f73(x87941),f71(x87941)),f71(x87941))))) % 186.59/186.36 [8852]~P1(f862(f862(x88521,f499(x88521,x88523,x88522)),f500(x88521,x88523,x88522)))+P1(f862(f862(x88521,x88522),x88523))+~P1(f862(f307(f931(a1,a1),a45),f862(f862(f244(a1,a1),x88522),x88523))) % 186.59/186.36 [8853]~P1(f862(f862(x88531,f501(x88531,x88533,x88532)),f503(x88531,x88533,x88532)))+P1(f862(f862(x88531,x88532),x88533))+~P1(f862(f307(f931(a1,a1),a51),f862(f862(f244(a1,a1),x88532),x88533))) % 186.59/186.36 [8854]~P1(f862(f862(x88541,f504(x88541,x88543,x88542)),f507(x88541,x88543,x88542)))+P1(f862(f862(x88541,x88542),x88543))+~P1(f862(f307(f931(a1,a1),a214),f862(f862(f244(a1,a1),x88542),x88543))) % 186.59/186.36 [8855]~P1(f862(f862(x88551,f508(x88551,x88553,x88552)),f510(x88551,x88553,x88552)))+P1(f862(f862(x88551,x88552),x88553))+~P1(f862(f307(f931(a924,a924),a212),f862(f862(f244(a924,a924),x88552),x88553))) % 186.59/186.36 [8856]~P1(f862(f862(x88561,f683(x88561,x88563,x88562)),f685(x88561,x88563,x88562)))+P1(f862(f862(x88561,x88562),x88563))+~P1(f862(f307(f931(a1,a1),a175),f862(f862(f244(a1,a1),x88562),x88563))) % 186.59/186.36 [8857]~P1(f862(f862(x88571,f779(x88571,x88573,x88572)),f780(x88571,x88573,x88572)))+P1(f862(f862(x88571,x88572),x88573))+~P1(f862(f307(f931(a1,a1),a126),f862(f862(f244(a1,a1),x88572),x88573))) % 186.59/186.36 [9133]P1(f862(f862(x91331,x91332),x91333))+P1(f862(f307(f931(a924,a924),a212),f862(f862(f244(a924,a924),f508(x91331,x91333,x91332)),f510(x91331,x91333,x91332))))+~P1(f862(f307(f931(a924,a924),a212),f862(f862(f244(a924,a924),x91332),x91333))) % 186.59/186.36 [9134]P1(f862(f862(x91341,x91342),x91343))+P1(f862(f307(f931(a1,a1),a45),f862(f862(f244(a1,a1),f499(x91341,x91343,x91342)),f500(x91341,x91343,x91342))))+~P1(f862(f307(f931(a1,a1),a45),f862(f862(f244(a1,a1),x91342),x91343))) % 186.59/186.36 [9135]P1(f862(f862(x91351,x91352),x91353))+P1(f862(f307(f931(a1,a1),a51),f862(f862(f244(a1,a1),f501(x91351,x91353,x91352)),f503(x91351,x91353,x91352))))+~P1(f862(f307(f931(a1,a1),a51),f862(f862(f244(a1,a1),x91352),x91353))) % 186.59/186.36 [9136]P1(f862(f862(x91361,x91362),x91363))+P1(f862(f307(f931(a1,a1),a214),f862(f862(f244(a1,a1),f504(x91361,x91363,x91362)),f507(x91361,x91363,x91362))))+~P1(f862(f307(f931(a1,a1),a214),f862(f862(f244(a1,a1),x91362),x91363))) % 186.59/186.36 [9137]P1(f862(f862(x91371,x91372),x91373))+P1(f862(f307(f931(a1,a1),a175),f862(f862(f244(a1,a1),f683(x91371,x91373,x91372)),f685(x91371,x91373,x91372))))+~P1(f862(f307(f931(a1,a1),a175),f862(f862(f244(a1,a1),x91372),x91373))) % 186.59/186.36 [9138]P1(f862(f862(x91381,x91382),x91383))+P1(f862(f307(f931(a1,a1),a126),f862(f862(f244(a1,a1),f779(x91381,x91383,x91382)),f780(x91381,x91383,x91382))))+~P1(f862(f307(f931(a1,a1),a126),f862(f862(f244(a1,a1),x91382),x91383))) % 186.59/186.36 [9473]~P1(f862(f54(x94731),x94733))+P1(f862(f862(f321(f931(f932(x94731,a921),f932(x94731,a921))),f862(f862(f244(f932(x94731,a921),f932(x94731,a921)),x94732),x94733)),f306(x94731)))+~P1(f862(f862(f228(f932(x94731,a921)),x94732),x94733)) % 186.59/186.36 [9549]~P57(x95491,f862(x95493,f596(x95492,x95493,x95491)))+P57(x95491,f862(f862(f33(x95492,f932(x95491,f932(x95491,a921))),f234(f932(x95492,a921))),x95493))+~E(f862(f862(f94(f932(x95491,a921)),f241(x95491,x95491,f862(x95493,f595(x95492,x95493,x95491)))),f242(x95491,x95491,f862(x95493,f597(x95492,x95493,x95491)))),f181(f932(x95491,a921))) % 186.59/186.36 [9759]P50(x97591,x97592,x97593)+P1(f862(f862(f321(f931(x97591,x97591)),f580(x97593,x97592,x97591)),x97593))+~P1(f862(f862(f321(f931(x97591,x97591)),f862(f862(f244(x97591,x97591),f579(x97593,x97592,x97591)),f579(x97593,x97592,x97591))),x97593)) % 186.59/186.36 [10356]P50(x103561,x103562,x103563)+~P1(f862(f862(f249(x103561,x103561,a921),f862(f862(f9(x103561,f932(x103561,a921),f932(x103561,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x103561,a921),f932(x103561,a921)),x103561),f10(a921,a921,x103561)),f862(f862(f10(a921,f932(a921,a921),x103561),a318),f862(f862(f9(x103561,f932(x103561,a921),a921),f321(x103561)),x103562)))),f862(f862(f9(x103561,f932(x103561,a921),a921),f321(x103561)),x103562))),f580(x103563,x103562,x103561)))+~P1(f862(f862(f321(f931(x103561,x103561)),f862(f862(f244(x103561,x103561),f579(x103563,x103562,x103561)),f579(x103563,x103562,x103561))),x103563)) % 186.59/186.36 [5833]~P61(x58332)+E(x58331,f2(x58332))+E(f862(f862(f29(x58332),f862(f862(f74(x58332),x58333),x58331)),x58331),x58333) % 186.59/186.36 [5834]~P61(x58342)+E(x58341,f2(x58342))+E(f862(f862(f29(x58342),f862(f862(f74(x58342),x58341),x58343)),x58341),x58343) % 186.59/186.36 [6485]~P61(x64851)+E(f862(f862(f74(x64851),f862(f862(f29(x64851),x64852),x64853)),x64853),x64852)+~P1(f862(f862(f278(x64851),x64853),x64852)) % 186.59/186.36 [6649]~P72(x66491)+~E(f862(x66492,f2(a924)),f2(x66491))+E(f862(f862(f8(a924,x66491),x66492),f862(f295(a924,f862(a105,f2(a924))),x66493)),f862(f862(f8(a924,x66491),x66492),f862(f295(a924,f2(a924)),x66493))) % 186.59/186.36 [6786]~P61(x67862)+E(x67861,f2(x67862))+E(f862(f862(f29(x67862),f862(f862(f73(x67862),x67863),x67861)),x67861),f862(f862(f73(x67862),f862(f862(f29(x67862),x67863),x67861)),f71(x67862))) % 186.59/186.36 [6787]~P61(x67872)+E(x67871,f2(x67872))+E(f862(f862(f29(x67872),f862(f862(f73(x67872),x67871),x67873)),x67871),f862(f862(f73(x67872),f862(f862(f29(x67872),x67873),x67871)),f71(x67872))) % 186.59/186.36 [7010]~P1(f862(x70103,f2(a1)))+P1(f862(f862(f227(a924),x70101),x70102))+P1(f862(x70103,f862(f93(a1),f862(f862(f3(a924),x70102),x70101)))) % 186.59/186.36 [7115]P1(f862(f862(f228(a924),x71152),x71151))+P1(f862(f862(f227(a924),x71151),x71152))+P1(f862(x71153,f862(f93(a1),f862(f862(f3(a924),x71152),x71151)))) % 186.59/186.36 [7188]E(f862(f862(f73(a924),f862(f96(a924),x71881)),f862(f862(f73(a924),f862(f96(a924),x71882)),x71883)),f862(f862(f73(a924),f862(f96(a924),x71881)),x71883))+P1(f862(a186,f862(f96(a1),x71881)))+~P1(f862(a186,f862(f96(a1),x71882))) % 186.59/186.36 [7266]~E(x72662,f862(f862(f29(a924),x72663),x72661))+~P1(f862(f862(f228(a924),f2(a924)),x72661))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x72661),x72662)),x72663)) % 186.59/186.36 [7383]~P1(f862(f54(x73831),x73833))+~P1(f862(f54(x73831),x73832))+P1(f862(f54(x73831),f862(f862(f103(f932(x73831,a921)),x73832),x73833))) % 186.59/186.36 [7433]~P36(x74331,x74333)+~P36(x74331,x74332)+P36(x74331,f862(f862(f94(f932(f931(x74331,x74331),a921)),x74332),x74333)) % 186.59/186.36 [7434]~P49(x74341,x74343)+~P49(x74341,x74342)+P49(x74341,f862(f862(f103(f932(f931(x74341,x74341),a921)),x74342),x74343)) % 186.59/186.36 [7435]~P49(x74351,x74353)+~P49(x74351,x74352)+P49(x74351,f862(f862(f94(f932(f931(x74351,x74351),a921)),x74352),x74353)) % 186.59/186.36 [7676]~P109(x76761)+~P1(f862(f54(x76761),x76762))+E(f132(x76761,f862(f862(f3(f932(x76761,a921)),x76762),f862(f862(f301(x76761),x76763),f181(f932(x76761,a921))))),f163(x76761,x76763,f132(x76761,x76762))) % 186.59/186.36 [7738]P1(f862(x77381,f2(a1)))+~P1(f862(f862(f228(a924),x77382),x77383))+~P1(f862(x77381,f862(f93(a1),f862(f862(f3(a924),x77382),x77383)))) % 186.59/186.36 [7757]~P1(f862(f54(x77571),x77572))+E(f862(f28(x77571),f862(f862(f3(f932(x77571,a921)),x77572),f862(f862(f301(x77571),x77573),f181(f932(x77571,a921))))),f862(f28(x77571),x77572))+P1(f862(f862(f321(x77571),x77573),x77572)) % 186.59/186.36 [7890]~P127(x78901)+~P1(f862(f862(f228(x78901),f71(x78901)),x78902))+P1(f862(f862(f228(x78901),f71(x78901)),f862(f862(f74(x78901),x78902),f862(f862(f236(x78901),x78902),x78903)))) % 186.59/186.36 [7933]~P1(f862(f54(x79331),x79333))+E(f862(f862(f3(a924),f862(f28(x79331),x79332)),f862(f28(x79331),x79333)),f862(f28(x79331),f862(f862(f3(f932(x79331,a921)),x79332),x79333)))+~P1(f862(f862(f227(f932(x79331,a921)),x79333),x79332)) % 186.59/186.36 [7990]~P1(f862(f862(f227(a924),x79902),x79903))+~P1(f862(f862(f227(a924),x79901),f862(f862(f3(a924),x79903),x79902)))+P1(f862(f862(f227(a924),f862(f862(f73(a924),x79901),x79902)),x79903)) % 186.59/186.36 [8044]P1(f862(f54(x80441),x80442))+~P1(f862(f54(x80441),x80443))+~P1(f862(f54(x80441),f862(f862(f3(f932(x80441,a921)),x80442),x80443))) % 186.59/186.36 [8050]~P1(f862(f54(x80501),x80502))+E(f862(f28(x80501),f862(f862(f3(f932(x80501,a921)),x80502),f862(f862(f301(x80501),x80503),f181(f932(x80501,a921))))),f862(f862(f3(a924),f862(f28(x80501),x80502)),f71(a924)))+~P1(f862(f862(f321(x80501),x80503),x80502)) % 186.59/186.36 [8127]P57(x81271,x81272)+~P57(x81271,x81273)+~P1(f862(f862(f227(f932(x81271,f932(x81271,a921))),x81272),x81273)) % 186.59/186.36 [8169]~P1(f862(f862(f227(a924),x81693),x81692))+P1(f862(f862(f227(a924),x81691),f862(f862(f3(a924),x81692),x81693)))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),x81691),x81693)),x81692)) % 186.59/186.36 [8187]P35(x81871,x81872)+~P35(x81871,x81873)+~P1(f862(f862(f227(f932(f931(x81871,x81871),a921)),x81872),x81873)) % 186.59/186.36 [8188]P55(x81881,x81882)+~P55(x81881,x81883)+~P1(f862(f862(f227(f932(f931(x81881,x81881),a921)),x81882),x81883)) % 186.59/186.36 [8189]P37(x81891,x81892)+~P37(x81891,x81893)+~P1(f862(f862(f227(f932(f931(x81891,x81891),a921)),x81892),x81893)) % 186.59/186.36 [8426]~P127(x84261)+~P1(f862(f862(f228(x84261),f71(x84261)),x84262))+P1(f862(f862(f228(x84261),f862(f862(f236(x84261),x84262),x84263)),f862(f862(f74(x84261),x84262),f862(f862(f236(x84261),x84262),x84263)))) % 186.59/186.36 [8516]~P1(f862(x85161,f2(a1)))+~P1(f862(x85161,f862(f862(f3(a1),f862(f93(a1),x85162)),f862(f93(a1),x85163))))+P1(f862(x85161,f862(f93(a1),f862(f862(f3(a924),x85162),x85163)))) % 186.59/186.36 [8531]~P1(f862(f862(f227(a924),x85313),x85312))+P1(f862(x85311,f862(f862(f3(a1),f862(f93(a1),x85312)),f862(f93(a1),x85313))))+~P1(f862(x85311,f862(f93(a1),f862(f862(f3(a924),x85312),x85313)))) % 186.59/186.36 [8550]P1(f862(f862(f228(a924),x85501),x85502))+~P1(f862(x85503,f862(f862(f3(a1),f862(f93(a1),x85501)),f862(f93(a1),x85502))))+P1(f862(x85503,f862(f93(a1),f862(f862(f3(a924),x85501),x85502)))) % 186.59/186.36 [8604]~P128(x86042)+E(x86041,f2(x86042))+P1(f862(f862(f228(x86042),f2(x86042)),f862(f862(f73(x86042),f862(f862(f74(x86042),x86043),x86043)),f862(f862(f74(x86042),x86041),x86041)))) % 186.59/186.36 [8605]~P128(x86052)+E(x86051,f2(x86052))+P1(f862(f862(f228(x86052),f2(x86052)),f862(f862(f73(x86052),f862(f862(f74(x86052),x86051),x86051)),f862(f862(f74(x86052),x86053),x86053)))) % 186.59/186.36 [8706]~P1(f862(f862(f228(a924),f2(a924)),x87061))+~P1(f862(f862(f228(a1),x87062),x87063))+P1(f862(f862(f228(a1),f862(f862(f74(a1),f862(f93(a1),x87061)),x87062)),f862(f862(f74(a1),f862(f93(a1),x87061)),x87063))) % 186.59/186.36 [8763]E(f862(f862(f94(f932(x87631,a921)),x87632),f30(f932(x87631,a921),x87633)),f181(f932(x87631,a921)))+P1(f862(f862(f321(f932(x87631,a921)),x87632),x87633))+P1(f862(f862(f321(f932(x87631,a921)),f704(x87633,x87632,x87631)),f862(f862(f301(f932(x87631,a921)),x87632),x87633))) % 186.59/186.36 [8764]E(f862(f862(f94(f932(x87641,a921)),x87642),f30(f932(x87641,a921),x87643)),f181(f932(x87641,a921)))+P1(f862(f862(f321(f932(x87641,a921)),x87642),x87643))+P1(f862(f862(f321(f932(x87641,a921)),f711(x87643,x87642,x87641)),f862(f862(f301(f932(x87641,a921)),x87642),x87643))) % 186.59/186.36 [8793]E(x87931,x87932)+~E(f862(f182(f925(x87933)),x87931),f862(f182(f925(x87933)),x87932))+P1(f862(f862(f321(f931(x87933,x87933)),f670(x87933,x87931,x87932)),f862(f165(f931(x87933,x87933)),f862(f862(f174(x87933,x87933),x87932),x87931)))) % 186.59/186.36 [9046]E(f299(x90461,x90462),f299(x90461,x90463))+~P1(f862(f862(f227(f932(f931(x90461,x90461),a921)),x90463),f299(x90461,x90462)))+~P1(f862(f862(f227(f932(f931(x90461,x90461),a921)),x90462),x90463)) % 186.59/186.36 [9113]~P50(x91131,f234(f932(x91131,a921)),x91133)+P1(f862(f862(f227(f932(f931(f925(x91131),f925(x91131)),a921)),f150(x91131,x91132)),f151(x91131,x91133)))+~P1(f862(f862(f227(f932(f931(x91131,x91131),a921)),x91132),x91133)) % 186.59/186.36 [9309]P35(x93091,x93092)+~P1(f862(f862(f321(x93091),x93093),f610(x93092,x93091)))+P1(f862(f862(f321(f931(x93091,x93091)),f862(f862(f244(x93091,x93091),f620(x93092,x93091,x93093)),x93093)),x93092)) % 186.59/186.36 [9345]~P1(f862(f54(x93451),x93452))+P1(f862(f54(f932(x93451,a921)),f862(f862(f53(x93451),x93452),x93453)))+~P1(f862(f862(f227(f932(f931(x93451,x93451),a921)),x93453),f862(f862(f246(x93451,x93451),x93452),f862(f18(f932(x93451,a921),x93451),x93452)))) % 186.59/186.36 [9381]P50(x93811,x93812,x93813)+P1(f862(f862(f321(x93811),f582(x93813,x93812,x93811)),x93812))+~P1(f862(f862(f227(f932(f931(x93811,x93811),a921)),x93813),f862(f862(f246(x93811,x93811),x93812),f862(f18(f932(x93811,a921),x93811),x93812)))) % 186.59/186.36 [9382]P50(x93821,x93822,x93823)+P1(f862(f862(f321(x93821),f585(x93822,x93823,x93821)),x93822))+~P1(f862(f862(f227(f932(f931(x93821,x93821),a921)),x93823),f862(f862(f246(x93821,x93821),x93822),f862(f18(f932(x93821,a921),x93821),x93822)))) % 186.59/186.36 [9416]~P67(x94161)+~P1(f862(f862(f228(x94161),x94162),x94163))+P1(f862(f862(f228(x94161),f862(f862(f282(x94161),f862(f862(f73(x94161),x94162),x94163)),f862(f862(f73(x94161),f71(x94161)),f71(x94161)))),x94163)) % 186.59/186.36 [9446]~P66(x94461)+P1(f862(f862(f227(x94461),x94462),x94463))+~P1(f862(f862(f227(x94461),f862(f862(f74(x94461),f363(x94463,x94462,x94461)),x94462)),x94463)) % 186.59/186.36 [9586]E(f862(f182(f925(f925(x95861))),f862(f129(f925(x95861),f862(f862(f10(a924,a921,f925(x95861)),f862(f228(a924),x95862)),f182(f925(x95861)))),f172(x95861,x95863))),f862(f182(f925(x95861)),f862(f862(f157(f925(x95861)),x95863),x95862)))+~P11(a924,f862(f161(a924),f862(f862(f147(f925(x95861),a924),f182(f925(x95861))),x95863)))+~P1(f862(f862(f228(a924),x95862),f862(f182(f925(f925(x95861))),x95863))) % 186.59/186.36 [9707]~P35(x97071,x97072)+P24(x97071,f862(f862(f244(f932(f931(x97071,x97071),a921),f932(f931(x97071,x97071),a921)),x97072),x97073))+~P1(f862(f862(f227(f932(f931(x97071,x97071),a921)),f862(f862(f280(x97071,x97071,x97071),x97072),x97073)),x97072)) % 186.59/186.36 [9712]E(f862(f862(f147(f925(x97121),x97121),f862(f862(f9(f925(x97121),a924,x97121),f157(x97121)),x97122)),f862(f129(f925(x97121),f862(f862(f10(a924,a921,f925(x97121)),f862(f228(a924),x97122)),f182(f925(x97121)))),f172(x97121,x97123))),f862(f862(f157(f925(x97121)),x97123),x97122))+~P11(a924,f862(f161(a924),f862(f862(f147(f925(x97121),a924),f182(f925(x97121))),x97123)))+~P1(f862(f862(f228(a924),x97122),f862(f182(f925(f925(x97121))),x97123))) % 186.59/186.36 [9847]P50(x98471,x98472,x98473)+~P1(f862(f862(f321(f931(x98471,x98471)),f862(f862(f244(x98471,x98471),f582(x98473,x98472,x98471)),f582(x98473,x98472,x98471))),x98473))+~P1(f862(f862(f227(f932(f931(x98471,x98471),a921)),x98473),f862(f862(f246(x98471,x98471),x98472),f862(f18(f932(x98471,a921),x98471),x98472)))) % 186.59/186.36 [9848]P50(x98481,x98482,x98483)+~P1(f862(f862(f321(f931(x98481,x98481)),f862(f862(f244(x98481,x98481),f585(x98482,x98483,x98481)),f585(x98482,x98483,x98481))),x98483))+~P1(f862(f862(f227(f932(f931(x98481,x98481),a921)),x98483),f862(f862(f246(x98481,x98481),x98482),f862(f18(f932(x98481,a921),x98481),x98482)))) % 186.59/186.36 [10019]~P142(x100191)+~P124(x100191)+E(f862(f862(f282(x100191),f862(f95(x100191),f862(f862(f66(f931(a1,a1),a1,x100192,f243(a1,a1)),f205(x100192)),x100193))),f862(f95(x100191),f862(f862(f66(f931(a1,a1),a1,x100192,f248(a1,a1)),f205(x100192)),x100193))),f215(x100192,x100191,x100193)) % 186.59/186.36 [10226]~E(x102263,f2(a924))+~E(f862(f182(f925(x102261)),f862(f862(f157(f925(x102261)),x102262),f718(x102263,x102261,x102262))),x102263)+E(f862(f862(f147(a924,f925(x102261)),f862(f862(f9(a924,f925(a924),f925(x102261)),f862(f862(f10(f932(a924,x102261),f932(f925(a924),f925(x102261)),a924),f147(a924,x102261)),f862(f9(a924,a924,x102261),f862(f862(f10(f925(x102261),f932(a924,x102261),a924),f157(x102261)),f862(f157(f925(x102261)),x102262))))),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(f925(x102261))),x102262))))),f132(a924,f862(f295(a924,f2(a924)),x102263))),f172(x102261,x102262)) % 186.59/186.36 [10227]E(x102271,f106(f925(x102272)))+~E(f862(f182(f925(x102272)),f862(f862(f157(f925(x102272)),x102271),f718(x102273,x102272,x102271))),x102273)+E(f862(f862(f147(a924,f925(x102272)),f862(f862(f9(a924,f925(a924),f925(x102272)),f862(f862(f10(f932(a924,x102272),f932(f925(a924),f925(x102272)),a924),f147(a924,x102272)),f862(f9(a924,a924,x102272),f862(f862(f10(f925(x102272),f932(a924,x102272),a924),f157(x102272)),f862(f157(f925(x102272)),x102271))))),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(f925(x102272))),x102271))))),f132(a924,f862(f295(a924,f2(a924)),x102273))),f172(x102272,x102271)) % 186.59/186.36 [10228]~E(x102283,f2(a924))+E(f862(f862(f147(a924,f925(x102281)),f862(f862(f9(a924,f925(a924),f925(x102281)),f862(f862(f10(f932(a924,x102281),f932(f925(a924),f925(x102281)),a924),f147(a924,x102281)),f862(f9(a924,a924,x102281),f862(f862(f10(f925(x102281),f932(a924,x102281),a924),f157(x102281)),f862(f157(f925(x102281)),x102282))))),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(f925(x102281))),x102282))))),f132(a924,f862(f295(a924,f2(a924)),x102283))),f172(x102281,x102282))+P1(f862(f862(f228(a924),f718(x102283,x102281,x102282)),f862(f182(f925(f925(x102281))),x102282))) % 186.59/186.36 [10229]E(x102291,f106(f925(x102292)))+E(f862(f862(f147(a924,f925(x102292)),f862(f862(f9(a924,f925(a924),f925(x102292)),f862(f862(f10(f932(a924,x102292),f932(f925(a924),f925(x102292)),a924),f147(a924,x102292)),f862(f9(a924,a924,x102292),f862(f862(f10(f925(x102292),f932(a924,x102292),a924),f157(x102292)),f862(f157(f925(x102292)),x102291))))),f132(a924,f862(f295(a924,f2(a924)),f862(f182(f925(f925(x102292))),x102291))))),f132(a924,f862(f295(a924,f2(a924)),x102293))),f172(x102292,x102291))+P1(f862(f862(f228(a924),f718(x102293,x102292,x102291)),f862(f182(f925(f925(x102292))),x102291))) % 186.59/186.36 [7930]E(f862(f862(f73(a924),f862(f96(a924),x79301)),f862(f862(f73(a924),f862(f96(a924),x79302)),x79303)),f862(f862(f73(a924),f862(f96(a924),f862(f862(f73(a1),x79301),x79302))),x79303))+P1(f862(a186,f862(f96(a1),x79301)))+P1(f862(a186,f862(f96(a1),x79302))) % 186.59/186.36 [8697]~P1(f862(f54(x86971),x86972))+~P1(f862(f862(f321(x86971),x86973),x86972))+E(f862(a105,f862(f28(x86971),f862(f862(f3(f932(x86971,a921)),x86972),f862(f862(f301(x86971),x86973),f181(f932(x86971,a921)))))),f862(f28(x86971),x86972)) % 186.59/186.36 [8714]~P1(f862(f54(x87141),x87142))+~P1(f862(f862(f321(x87141),x87143),x87142))+E(f862(f862(f73(a924),f71(a924)),f862(f28(x87141),f862(f862(f3(f932(x87141,a921)),x87142),f862(f862(f301(x87141),x87143),f181(f932(x87141,a921)))))),f862(f28(x87141),x87142)) % 186.59/186.36 [8802]~P109(x88021)+~P1(f862(f54(x88021),x88023))+E(f862(f862(f141(x88021,x88021,f7(x88021)),x88022),f132(x88021,f862(f862(f3(f932(x88021,a921)),x88023),f862(f862(f301(x88021),x88022),f181(f932(x88021,a921)))))),f132(x88021,f862(f862(f301(x88021),x88022),x88023))) % 186.59/186.36 [8969]~P1(f862(f54(x89691),x89693))+~P1(f862(f54(x89691),x89692))+E(f862(f862(f73(a924),f862(f28(x89691),f862(f862(f103(f932(x89691,a921)),x89692),x89693))),f862(f28(x89691),f862(f862(f94(f932(x89691,a921)),x89692),x89693))),f862(f862(f73(a924),f862(f28(x89691),x89692)),f862(f28(x89691),x89693))) % 186.59/186.36 [10174]~P22(x101741,f932(f932(x101741,a921),a921),f862(f862(f9(x101741,f932(f931(x101741,x101741),a921),f932(f932(x101741,a921),a921)),f862(f862(f10(f932(x101741,a921),f932(f932(f931(x101741,x101741),a921),f932(f932(x101741,a921),a921)),x101741),f53(x101741)),f862(f862(f9(x101741,f932(x101741,a921),f932(x101741,a921)),f301(x101741)),f181(f932(x101741,a921))))),x101743),x101742)+~P1(f862(f54(x101741),x101742))+E(f862(f28(f932(x101741,a921)),f862(f862(f53(x101741),x101742),x101743)),f862(f28(x101741),x101742)) % 186.59/186.36 [8202]~P98(x82021)+P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x82023)))+E(f862(f862(f236(x82021),x82022),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),x82023),x82023)),a90))),f71(x82021)) % 186.59/186.36 [9689]~P98(x96891)+~P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),x96893)))+E(f862(f862(f236(x96891),x96892),f862(f96(a924),f862(f862(f3(a1),f862(f862(f73(a1),x96893),x96893)),a90))),f862(f862(f79(x96891,x96891),f862(f862(f236(x96891),x96892),f862(f96(a924),x96893))),f862(f862(f20(x96891,x96891,x96891),f862(f862(f10(x96891,f932(x96891,x96891),x96891),f74(x96891)),f862(f74(x96891),x96892))),f7(x96891)))) % 186.59/186.36 [10081]~P1(f862(f130(x100811),x100813))+~P1(f862(f862(f321(x100811),x100812),f862(f165(x100811),x100813)))+E(f862(f862(f131(x100811),f862(f182(f925(x100811)),f170(x100811,f862(f862(f10(a921,a921,x100811),a314),f862(f862(f9(x100811,x100811,a921),a317),x100812)),f862(f161(x100811),x100813)))),f862(f161(x100811),x100813)),f862(f862(f144(x100811),x100812),f862(f161(x100811),f170(x100811,f862(f862(f10(a921,a921,x100811),a314),f862(f862(f9(x100811,x100811,a921),a317),x100812)),x100813)))) % 186.59/186.36 [10144]P1(f862(f862(f227(f932(f931(x101441,x101441),a921)),f299(x101441,x101442)),x101443))+~P1(f862(f862(f227(f932(f931(x101441,x101441),a921)),f299(x101441,f181(f932(f931(x101441,x101441),a921)))),x101443))+~P1(f862(f862(f227(f932(f931(x101441,x101441),a921)),f862(f862(f280(x101441,x101441,x101441),f862(f862(f94(f932(f931(x101441,x101441),a921)),f299(x101441,x101442)),x101443)),x101442)),x101443)) % 186.59/186.36 [9998]~P1(f862(f54(x99981),f862(f254(x99981),x99983)))+~P1(f862(f54(x99981),f862(f254(x99981),x99982)))+P1(f862(f54(x99981),f862(f254(x99981),f862(f862(f20(x99981,a921,a921),f862(f862(f10(a921,f932(a921,a921),x99981),a319),x99982)),x99983)))) % 186.59/186.36 [10293]P1(f862(f862(f227(f932(f931(x102931,x102931),a921)),f862(f862(f280(x102931,x102931,x102931),x102932),f299(x102931,x102932))),x102933))+~P1(f862(f862(f227(f932(f931(x102931,x102931),a921)),x102932),x102933))+~P1(f862(f862(f227(f932(f931(x102931,x102931),a921)),f862(f862(f280(x102931,x102931,x102931),f862(f862(f94(f932(f931(x102931,x102931),a921)),f862(f862(f280(x102931,x102931,x102931),x102932),f299(x102931,x102932))),x102933)),x102932)),x102933)) % 186.59/186.36 [10242]~P112(x102422)+E(x102421,f2(x102422))+~E(f862(f862(f73(x102422),f862(f862(f236(x102422),x102423),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x102422),x102421),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f2(x102422)) % 186.59/186.36 [10243]~P112(x102432)+E(x102431,f2(x102432))+~E(f862(f862(f73(x102432),f862(f862(f236(x102432),x102431),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x102432),x102433),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f2(x102432)) % 186.59/186.36 [10249]~P1(f862(f130(x102491),x102493))+~P1(f862(f862(f321(x102491),x102492),f862(f165(x102491),x102493)))+E(f862(f161(x102491),f862(f164(x102491),f862(f862(f131(x102491),f862(f182(f925(x102491)),f170(x102491,f862(f862(f10(a921,a921,x102491),a314),f862(f862(f9(x102491,x102491,a921),a317),x102492)),x102493))),x102493))),f170(x102491,f862(f862(f10(a921,a921,x102491),a314),f862(f862(f9(x102491,x102491,a921),a317),x102492)),f862(f161(x102491),x102493))) % 186.59/186.36 [10338]~P112(x103382)+E(x103381,f2(x103382))+P1(f862(f862(f228(x103382),f2(x103382)),f862(f862(f73(x103382),f862(f862(f236(x103382),x103383),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103382),x103381),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))))) % 186.59/186.36 [10339]~P112(x103392)+E(x103391,f2(x103392))+P1(f862(f862(f228(x103392),f2(x103392)),f862(f862(f73(x103392),f862(f862(f236(x103392),x103391),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103392),x103393),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))))) % 186.59/186.36 [10394]~P112(x103941)+P1(f862(f862(f227(x103941),f2(x103941)),x103942))+~P1(f862(f862(f227(x103941),f2(x103941)),f862(f862(f236(x103941),x103942),f862(a105,f862(f862(f74(a924),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),x103943))))) % 186.59/186.36 [5131]~E(x51312,f83(x51313,x51311))+P1(f862(x51311,x51312))+~P1(f862(x51311,x51314)) % 186.59/186.36 [5377]E(f61(x53773,x53772,x53774),x53772)+E(x53771,f744(x53772,x53773,x53774))+~P1(f862(x53774,x53771)) % 186.59/186.36 [6707]E(f61(x67071,x67072,x67073),f78(x67071,x67073))+~E(f782(x67072,x67071,x67073,x67074),x67074)+~P1(f862(x67073,x67074)) % 186.59/186.36 [6921]~P35(x69212,x69214)+~P35(x69211,x69213)+P35(f931(x69211,x69212),f311(x69211,x69212,x69213,x69214)) % 186.59/186.36 [6922]~P36(x69222,x69224)+~P36(x69221,x69223)+P36(f931(x69221,x69222),f311(x69221,x69222,x69223,x69224)) % 186.59/186.36 [5316]~P5(x53164,x53161)+~E(f862(x53161,x53162),f862(x53161,x53163))+P1(f862(f862(x53161,x53162),x53163)) % 186.59/186.36 [5478]~P5(x54784,x54781)+E(f862(x54781,x54782),f862(x54781,x54783))+~P1(f862(f862(x54781,x54782),x54783)) % 186.59/186.36 [5479]~P13(x54794,x54791)+E(f862(x54791,x54792),f862(x54791,x54793))+~P1(f862(f862(x54791,x54792),x54793)) % 186.59/186.36 [5572]~P16(x55723,x55724,x55721)+E(f862(x55721,x55722),f862(f56(x55723,x55724),x55722))+~P1(f862(f54(x55723),x55722)) % 186.59/186.36 [5573]~P7(x55733,x55734,x55731)+E(f862(x55731,x55732),f862(f56(x55733,x55734),x55732))+~P1(f862(f54(x55733),x55732)) % 186.59/186.36 [5697]~P5(x56974,x56971)+~P1(f862(f862(x56971,x56973),x56972))+P1(f862(f862(x56971,x56972),x56973)) % 186.59/186.36 [5698]~P48(x56984,x56981)+~P1(f862(f862(x56981,x56983),x56982))+P1(f862(f862(x56981,x56982),x56983)) % 186.59/186.36 [5699]~P13(x56994,x56991)+~P1(f862(f862(x56991,x56993),x56992))+P1(f862(f862(x56991,x56992),x56993)) % 186.59/186.36 [5700]~P13(x57003,x57001)+P1(f862(f862(x57001,x57002),x57002))+~P1(f862(f862(x57001,x57004),x57002)) % 186.59/186.36 [5701]~P13(x57013,x57011)+P1(f862(f862(x57011,x57012),x57012))+~P1(f862(f862(x57011,x57012),x57014)) % 186.59/186.36 [5774]E(x57741,x57742)+~E(f862(f243(x57743,x57744),x57741),f862(f243(x57743,x57744),x57742))+~E(f862(f248(x57743,x57744),x57741),f862(f248(x57743,x57744),x57742)) % 186.59/186.36 [5802]E(x58021,x58022)+~P1(f862(f41(x58023,x58024),x58022))+~P1(f862(f41(x58023,x58024),x58021)) % 186.59/186.36 [5993]~P72(x59932)+E(f224(x59931,x59932,x59933,x59934),f2(x59932))+P1(f862(f54(x59931),x59934)) % 186.59/186.36 [6041]~P5(x60413,x60412)+~P1(f862(x60411,x60414))+P1(f862(x60411,f824(x60411,x60412,x60413))) % 186.59/186.36 [6138]~P1(f862(f307(x61381,x61382),x61384))+P1(f862(f307(x61381,x61382),x61383))+~P1(f862(f862(x61382,x61383),x61384)) % 186.59/186.36 [6956]~P27(x69561,x69563,x69564)+P1(f862(x69561,x69562))+~P1(f862(f862(f321(a1),x69562),f296(a1,x69563,x69564))) % 186.59/186.36 [7151]~P5(x71511,x71513)+~P1(f862(x71512,x71514))+P1(f862(f862(f321(x71511),f824(x71512,x71513,x71511)),f262(x71511,x71513))) % 186.59/186.36 [8039]E(x80391,f2(a924))+~P1(f862(x80392,x80393))+P1(f862(x80392,f777(x80392,x80393,x80391,x80394))) % 186.59/186.36 [8122]~P109(x81222)+~P1(f862(f130(x81221),x81224))+P1(f862(f130(x81221),f143(x81221,x81222,x81223,x81224))) % 186.59/186.36 [8168]E(f61(x81681,x81682,x81683),f78(x81681,x81683))+~P1(f862(x81683,x81684))+P1(f862(x81683,f782(x81682,x81681,x81683,x81684))) % 186.59/186.36 [8352]~P1(f862(f54(x83522),x83524))+~P1(f862(f54(x83521),x83523))+P1(f862(f54(f930(x83521,x83522)),f305(x83521,x83522,x83523,x83524))) % 186.59/186.36 [8353]~P1(f862(f130(x83532),x83534))+~P1(f862(f130(x83531),x83533))+P1(f862(f130(f931(x83531,x83532)),f52(x83531,x83532,x83533,x83534))) % 186.59/186.36 [8356]P1(f862(f862(f321(f925(x83561)),f862(f862(f127(x83561),x83562),x83563)),f154(x83561,x83564)))+~P1(f862(f862(f321(f925(x83561)),x83563),f154(x83561,x83564)))+~P1(f862(f862(f321(f925(x83561)),x83562),f154(x83561,x83564))) % 186.59/186.36 [8634]E(x86341,f2(a924))+P1(f862(x86342,x86343))+~P1(f862(x86342,f778(x86342,x86343,x86341,x86344))) % 186.59/186.36 [8672]~P109(x86723)+~P1(f862(f130(x86721),f143(x86721,x86723,x86724,x86722)))+P1(f862(f130(x86721),x86722)) % 186.59/186.36 [8958]~P1(f862(f862(f321(f931(x89581,x89581)),f862(f862(f244(x89581,x89581),x89582),x89584)),f299(x89581,x89583)))+P1(f862(f862(f321(x89581),x89582),f308(x89581,x89583)))+~P1(f862(f862(f321(x89581),x89584),f308(x89581,x89583))) % 186.59/186.36 [5300]~P72(x53002)+E(f862(f862(f8(x53001,x53002),x53003),x53004),f2(x53002))+P1(f862(f54(x53001),x53004)) % 186.59/186.36 [5303]~P71(x53032)+E(f862(f862(f11(x53031,x53032),x53033),x53034),f71(x53032))+P1(f862(f54(x53031),x53034)) % 186.59/186.36 [5440]~P73(x54403)+E(x54401,x54402)+~E(f862(f862(f73(x54403),x54404),x54401),f862(f862(f73(x54403),x54404),x54402)) % 186.59/186.36 [5441]~P74(x54413)+E(x54411,x54412)+~E(f862(f862(f73(x54413),x54414),x54411),f862(f862(f73(x54413),x54414),x54412)) % 186.59/186.36 [5443]~P73(x54433)+E(x54431,x54432)+~E(f862(f862(f73(x54433),x54431),x54434),f862(f862(f73(x54433),x54432),x54434)) % 186.59/186.36 [5540]~P120(x55401)+~E(x55403,f862(f862(f74(x55401),x55402),x55404))+P1(f862(f862(f278(x55401),x55402),x55403)) % 186.59/186.36 [5568]~P3(x55683)+E(x55681,f181(f932(x55682,a921)))+E(f862(f862(f32(x55682,x55683),x55681),f862(f18(x55683,x55682),x55684)),x55684) % 186.59/186.36 [5569]~P3(x55693)+E(x55691,f181(f932(x55692,a921)))+E(f862(f862(f33(x55692,x55693),x55691),f862(f18(x55693,x55692),x55694)),x55694) % 186.59/186.36 [5718]~E(x57184,f181(f932(x57181,a921)))+~E(x57184,f862(f862(f301(x57181),x57182),x57183))+P1(f862(f862(f321(x57181),x57182),x57183)) % 186.59/186.36 [5788]~P110(x57883)+E(x57881,x57882)+~E(f296(x57883,x57884,x57881),f862(f862(f301(x57883),x57882),f181(f932(x57883,a921)))) % 186.59/186.36 [5789]~P110(x57893)+E(x57891,x57892)+~E(f296(x57893,x57891,x57892),f862(f862(f301(x57893),x57894),f181(f932(x57893,a921)))) % 186.59/186.36 [5849]~P33(x58493,x58491,x58494)+P33(x58493,x58491,f862(f862(f144(x58493),x58492),x58494))+P1(f862(x58491,x58492)) % 186.59/186.36 [5951]~P29(x59511,x59512,x59514)+~P1(f862(x59512,x59513))+P29(x59511,x59512,f862(f862(f144(x59511),x59513),x59514)) % 186.59/186.36 [6093]P1(f862(x60931,x60932))+~P1(f862(f240(x60933,x60931),x60934))+~P1(f862(f862(f321(x60933),x60932),x60934)) % 186.59/186.36 [6102]~P29(x61021,x61022,x61024)+~P29(x61021,x61022,x61023)+P29(x61021,x61022,f862(f862(f127(x61021),x61023),x61024)) % 186.59/186.36 [6117]P31(x61171,x61172,x61173)+~P31(x61171,x61172,f862(f862(f144(x61171),x61174),x61173))+P1(f862(x61172,x61174)) % 186.59/186.36 [6118]P33(x61181,x61182,x61183)+~P33(x61181,x61182,f862(f862(f144(x61181),x61184),x61183))+P1(f862(x61182,x61184)) % 186.59/186.36 [6193]P31(x61931,x61932,x61933)+P31(x61931,x61932,x61934)+~P31(x61931,x61932,f862(f862(f127(x61931),x61934),x61933)) % 186.59/186.36 [6215]~P72(x62151)+E(f862(f862(f8(a924,x62151),x62152),f862(f295(a924,x62153),f862(a105,x62154))),f2(x62151))+~P1(f862(f862(f228(a924),x62154),x62153)) % 186.59/186.36 [6220]~P62(x62201)+~E(f38(x62201,x62202,x62203),f38(x62201,x62204,x62203))+E(f38(x62201,f862(f72(x62201),x62202),x62203),f38(x62201,f862(f72(x62201),x62204),x62203)) % 186.59/186.36 [6288]P1(f862(x62881,x62882))+~E(f862(f129(x62883,x62881),x62884),x62884)+~P1(f862(f862(f321(x62883),x62882),f862(f165(x62883),x62884))) % 186.59/186.36 [6308]~E(f862(f862(f73(a924),x63083),x63082),f862(f862(f73(a924),x63081),x63084))+~P1(f862(f862(f228(a924),x63083),x63084))+P1(f862(f862(f228(a924),x63081),x63082)) % 186.59/186.36 [6314]P31(x63141,x63142,x63143)+~P1(f862(x63142,x63144))+~P1(f862(f862(f321(x63141),x63144),f862(f165(x63141),x63143))) % 186.59/186.36 [6355]~P29(x63553,x63551,x63554)+P1(f862(x63551,x63552))+~P1(f862(f862(f321(x63553),x63552),f862(f165(x63553),x63554))) % 186.59/186.36 [6357]~E(f862(f129(x63571,x63572),x63573),f106(x63571))+~P1(f862(x63572,x63574))+~P1(f862(f862(f321(x63571),x63574),f862(f165(x63571),x63573))) % 186.59/186.36 [6358]~E(f170(x63583,x63581,x63584),x63584)+P1(f862(x63581,x63582))+~P1(f862(f862(f321(x63583),x63582),f862(f165(x63583),x63584))) % 186.59/186.36 [6386]~E(x63864,f181(f932(x63862,a921)))+~E(x63863,f181(f932(x63861,a921)))+E(f305(x63861,x63862,x63863,x63864),f181(f932(f930(x63861,x63862),a921))) % 186.59/186.36 [6538]P1(f862(x65381,x65382))+~P1(f862(f153(x65383,x65381),x65384))+~P1(f862(f862(f321(x65383),x65382),f862(f165(x65383),x65384))) % 186.59/186.36 [6580]~P1(f862(x65801,x65804))+P1(f862(x65801,f348(x65801,x65802,x65803)))+~P1(f862(f862(f321(x65803),x65804),x65802)) % 186.59/186.36 [6676]~P28(x66761,x66763,x66764)+P1(f862(x66761,x66762))+~P1(f862(f862(f321(a924),x66762),f862(f295(a924,x66763),x66764))) % 186.59/186.36 [6816]~P72(x68161)+E(f862(f862(f8(a924,x68161),x68162),f296(a924,x68163,f862(a105,x68164))),f2(x68161))+~P1(f862(f862(f228(a924),f862(a105,x68164)),x68163)) % 186.59/186.36 [6959]~P109(x69591)+E(f862(f862(f3(f932(x69591,a921)),f862(f295(x69591,x69592),x69593)),f862(f295(x69591,x69592),x69594)),f862(f295(x69591,x69594),x69593))+~P1(f862(f862(f227(x69591),x69592),x69594)) % 186.59/186.36 [7031]~E(x70313,x70314)+E(x70311,f2(a924))+P1(f862(f862(f321(x70312),x70313),f862(f165(x70312),f162(x70312,x70311,x70314)))) % 186.59/186.36 [7313]~P1(f862(f862(f321(f925(x73131)),x73134),f154(x73131,x73133)))+P1(f862(f862(f321(x73131),x73132),x73133))+~P1(f862(f862(f321(x73131),x73132),f862(f165(x73131),x73134))) % 186.59/186.36 [7320]~P35(x73201,x73202)+P1(f862(f862(f321(x73201),f611(x73202,x73201,x73203)),x73203))+~P1(f862(f862(f321(x73201),x73204),x73203)) % 186.59/186.36 [7377]~P72(x73771)+E(f862(f862(f862(f58(x73771,x73772,f73(x73771)),x73773),f2(x73771)),x73774),f862(f862(f8(x73772,x73771),x73773),x73774))+~P1(f862(f54(x73772),x73774)) % 186.59/186.36 [7379]~P71(x73791)+E(f862(f862(f862(f58(x73791,x73792,f74(x73791)),x73793),f71(x73791)),x73794),f862(f862(f11(x73792,x73791),x73793),x73794))+~P1(f862(f54(x73792),x73794)) % 186.59/186.36 [7394]~P1(f862(x73942,x73944))+~P1(f862(f862(f321(x73941),x73944),x73943))+P1(f862(f862(f321(x73941),f348(x73942,x73943,x73941)),x73943)) % 186.59/186.36 [7408]P22(x74081,x74082,x74083,x74084)+~E(f862(f28(x74082),f862(f302(x74081,x74082,x74083),x74084)),f862(f28(x74081),x74084))+~P1(f862(f54(x74081),x74084)) % 186.59/186.36 [7600]~P72(x76001)+E(f862(f862(f73(x76001),f862(x76002,x76003)),f862(f862(f8(a924,x76001),x76002),f297(a924,x76003,x76004))),f862(f862(f8(a924,x76001),x76002),f296(a924,x76003,x76004)))+~P1(f862(f862(f227(a924),x76003),x76004)) % 186.59/186.36 [7609]~P72(x76091)+~P22(x76092,x76091,x76093,x76094)+E(f862(f862(f8(x76091,x76091),f25(x76091)),f862(f302(x76092,x76091,x76093),x76094)),f862(f862(f8(x76092,x76091),x76093),x76094)) % 186.59/186.36 [7610]~P71(x76101)+~P22(x76102,x76101,x76103,x76104)+E(f862(f862(f11(x76101,x76101),f25(x76101)),f862(f302(x76102,x76101,x76103),x76104)),f862(f862(f11(x76102,x76101),x76103),x76104)) % 186.59/186.36 [7658]E(f862(f28(f930(x76581,x76582)),f305(x76581,x76582,x76583,x76584)),f862(f862(f73(a924),f862(f28(x76581),x76583)),f862(f28(x76582),x76584)))+~P1(f862(f54(x76582),x76584))+~P1(f862(f54(x76581),x76583)) % 186.59/186.36 [7739]E(x77391,x77392)+P1(f862(f862(f321(x77393),x77391),f862(f165(x77393),f163(x77393,x77392,x77394))))+~P1(f862(f862(f321(x77393),x77391),f862(f165(x77393),x77394))) % 186.59/186.36 [7969]~P72(x79691)+E(f862(f862(f73(x79691),f862(f862(f8(a924,x79691),x79692),f862(f295(a924,x79693),x79694))),f862(x79692,x79694)),f862(f862(f8(a924,x79691),x79692),f862(f295(a924,x79693),f862(a105,x79694))))+P1(f862(f862(f228(a924),x79694),x79693)) % 186.59/186.36 [8019]~P22(x80191,x80192,x80193,f234(f932(x80191,a921)))+~P1(f862(f54(x80192),x80194))+P1(f862(f54(x80191),f862(f303(x80191,x80192,x80193),x80194))) % 186.59/186.36 [8137]P1(f862(f862(f321(f925(x81371)),f862(f862(f144(x81371),x81372),x81373)),f154(x81371,x81374)))+~P1(f862(f862(f321(f925(x81371)),x81373),f154(x81371,x81374)))+~P1(f862(f862(f321(x81371),x81372),x81374)) % 186.59/186.36 [8226]~E(f862(f302(x82263,x82261,x82264),f234(f932(x82263,a921))),f234(f932(x82261,a921)))+P1(f862(f54(x82261),x82262))+~P1(f862(f54(x82263),f862(f303(x82263,x82261,x82264),x82262))) % 186.59/186.36 [8289]~P1(f862(x82891,x82894))+P1(f862(x82891,f364(x82892,x82893,x82894,x82891)))+~P1(f862(f862(f321(x82893),x82894),x82892)) % 186.59/186.36 [8322]~P22(x83221,x83223,x83224,x83222)+P1(f862(f54(x83221),x83222))+~P1(f862(f54(x83223),f862(f302(x83221,x83223,x83224),x83222))) % 186.59/186.36 [8346]~E(x83462,x83463)+P1(f862(f862(f321(f931(x83461,x83461)),f862(f862(f244(x83461,x83461),x83462),x83463)),f255(x83461,x83464)))+~P1(f862(f862(f321(x83461),x83462),x83464)) % 186.59/186.36 [8380]~P72(x83801)+E(f862(f862(f73(x83801),f862(f862(f8(a924,x83801),x83802),f296(a924,x83803,x83804))),f862(x83802,f862(a105,x83804))),f862(f862(f8(a924,x83801),x83802),f296(a924,x83803,f862(a105,x83804))))+P1(f862(f862(f228(a924),f862(a105,x83804)),x83803)) % 186.59/186.36 [8440]P1(f862(x84401,x84402))+~P1(f862(x84401,f862(f862(f157(x84403),x84404),f667(x84401,x84404,x84403))))+~P1(f862(f862(f321(x84403),x84402),f862(f165(x84403),x84404))) % 186.59/186.36 [8579]~P1(f862(f862(f321(x85791),x85792),f308(x85791,x85794)))+P1(f862(f862(f321(f925(x85791)),f862(f862(f144(x85791),x85792),x85793)),f308(f925(x85791),f150(x85791,x85794))))+~P1(f862(f862(f321(f925(x85791)),x85793),f308(f925(x85791),f150(x85791,x85794)))) % 186.59/186.36 [8594]~P22(x85942,x85943,x85944,f560(x85944,x85943,x85942,x85941))+P22(x85942,x85943,x85944,f31(f932(x85942,a921),x85941))+E(x85941,f181(f932(f932(x85942,a921),a921))) % 186.59/186.36 [8747]P1(f862(x87471,x87472))+~P1(f862(x87471,f341(x87472,x87471,x87473,x87474)))+~P1(f862(f862(f321(x87474),x87472),x87473)) % 186.59/186.36 [8866]E(x88661,x88662)+~P1(f862(f862(f321(f931(x88663,x88663)),f862(f862(f244(x88663,x88663),x88661),x88662)),f299(x88663,x88664)))+P1(f862(f862(f321(x88663),x88661),f862(f256(x88663,x88663),x88664))) % 186.59/186.36 [9019]P1(f862(x90191,x90192))+P1(f862(f862(f321(x90193),f341(x90192,x90191,x90194,x90193)),x90194))+~P1(f862(f862(f321(x90193),x90192),x90194)) % 186.59/186.36 [9031]~P1(f862(x90314,x90313))+~P1(f862(f862(f321(x90311),x90313),x90312))+P1(f862(f862(f321(x90311),f364(x90312,x90311,x90313,x90314)),x90312)) % 186.59/186.36 [9147]E(x91471,f2(a924))+P1(f862(x91472,x91473))+P1(f862(f862(f321(x91474),f778(x91472,x91473,x91471,x91474)),f862(f165(x91474),f162(x91474,x91471,x91473)))) % 186.59/186.36 [9159]E(x91591,f2(a924))+~P1(f862(x91593,x91594))+P1(f862(f862(f321(x91592),f777(x91593,x91594,x91591,x91592)),f862(f165(x91592),f162(x91592,x91591,x91594)))) % 186.59/186.36 [9161]~P23(x91611,x91612,x91613,f234(f932(x91611,a921)),f234(f932(x91612,a921)))+~P1(f862(f54(x91612),x91614))+P1(f862(f54(x91611),f862(f303(x91611,x91612,x91613),x91614))) % 186.59/186.36 [9164]P22(x91642,x91643,x91644,f31(f932(x91642,a921),x91641))+E(x91641,f181(f932(f932(x91642,a921),a921)))+P1(f862(f862(f321(f932(x91642,a921)),f560(x91644,x91643,x91642,x91641)),x91641)) % 186.59/186.36 [9279]~P23(x92793,x92791,x92794,f234(f932(x92793,a921)),f234(f932(x92791,a921)))+P1(f862(f54(x92791),x92792))+~P1(f862(f54(x92793),f862(f303(x92793,x92791,x92794),x92792))) % 186.59/186.36 [9297]P1(f862(f54(x92971),x92972))+~P1(f862(f54(x92974),f862(f302(x92971,x92974,x92973),x92972)))+P1(f862(f862(f321(x92971),f581(x92973,x92974,x92972,x92971)),x92972)) % 186.59/186.36 [9392]~P3(x93922)+E(f862(f862(f57(x93921,x93922,f862(f862(f10(x93922,f932(x93922,x93922),x93921),f94(x93922)),x93923)),f234(x93922)),x93924),f862(f862(f32(x93921,x93922),x93924),x93923))+~P1(f862(f54(x93921),x93924)) % 186.59/186.36 [9393]~P3(x93932)+E(f862(f862(f57(x93931,x93932,f862(f862(f10(x93932,f932(x93932,x93932),x93931),f103(x93932)),x93933)),f181(x93932)),x93934),f862(f862(f33(x93931,x93932),x93934),x93933))+~P1(f862(f54(x93931),x93934)) % 186.59/186.36 [9423]~P1(f862(f862(f278(a924),x94233),x94234))+P1(f862(f862(f278(a924),x94231),x94232))+P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x94231,x94232)),f281(a924,f278(a924),x94233,x94234))) % 186.59/186.36 [9478]P1(f862(x94781,x94782))+~P1(f862(x94781,f862(f862(f157(x94783),x94784),f705(x94782,x94781,x94784,x94783))))+~P1(f862(f862(f321(x94783),x94782),f862(f165(x94783),x94784))) % 186.59/186.36 [9499]E(x94991,x94992)+~P1(f862(f862(f321(f931(x94993,x94993)),f862(f862(f244(x94993,x94993),x94991),x94992)),f299(x94993,x94994)))+P1(f862(f862(f321(f931(x94993,x94993)),f862(f862(f244(x94993,x94993),x94991),x94992)),f862(f862(f280(x94993,x94993,x94993),x94994),f299(x94993,x94994)))) % 186.59/186.36 [9550]~E(f862(f182(f925(x95501)),x95502),f862(f182(f925(x95501)),x95503))+~P1(f862(f862(f321(f931(f925(x95501),f925(x95501))),f862(f862(f244(f925(x95501),f925(x95501)),x95502),x95503)),f140(x95501,x95504)))+P1(f862(f862(f321(f931(f925(x95501),f925(x95501))),f862(f862(f244(f925(x95501),f925(x95501)),x95502),x95503)),f138(x95501,x95504))) % 186.59/186.36 [9675]P1(f862(f862(f278(a924),x96751),x96752))+~P1(f862(f862(f278(a924),x96753),x96751))+~P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x96753,x96751)),f281(a924,f278(a924),x96754,x96752))) % 186.59/186.36 [9676]P1(f862(f862(f278(a924),x96761),x96762))+~P1(f862(f862(f278(a924),x96762),x96763))+~P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x96762,x96763)),f281(a924,f278(a924),x96761,x96764))) % 186.59/186.36 [9795]P29(x97951,f862(f862(f20(x97951,a921,a921),f862(f862(f10(a921,f932(a921,a921),x97951),a319),f862(f862(f10(a921,a921,x97951),a314),x97952))),f862(a317,x97953)),x97954)+~P1(f862(x97952,x97953))+~P33(x97951,x97952,f862(f862(f144(x97951),x97953),x97954)) % 186.59/186.36 [9961]~P29(x99611,f862(f862(f20(x99611,a921,a921),f862(f862(f10(a921,f932(a921,a921),x99611),a319),f862(f862(f10(a921,a921,x99611),a314),x99612))),f862(a317,x99613)),x99614)+~P1(f862(x99612,x99613))+P33(x99611,x99612,f862(f862(f144(x99611),x99613),x99614)) % 186.59/186.36 [9965]~P33(x99651,x99652,x99654)+~P29(x99651,f862(f862(f20(x99651,a921,a921),f862(f862(f10(a921,f932(a921,a921),x99651),a319),f862(f862(f10(a921,a921,x99651),a314),x99652))),f862(a317,x99653)),x99654)+P33(x99651,x99652,f862(f862(f144(x99651),x99653),x99654)) % 186.59/186.36 [9999]~P59(x99991)+E(f862(f862(f8(a924,x99991),f862(f862(f20(a924,x99991,x99991),f862(f862(f10(x99991,f932(x99991,x99991),a924),f3(x99991)),x99992)),f862(f862(f10(a924,x99991,a924),x99992),f862(f862(f9(a924,a924,a924),f73(a924)),f71(a924))))),f296(a924,x99993,x99994)),f2(x99991))+P1(f862(f862(f227(a924),x99993),x99994)) % 186.59/186.36 [10241]~P35(x102412,x102414)+~P22(x102412,x102411,x102413,f234(f932(x102412,a921)))+P35(x102411,f862(f302(f931(x102412,x102412),f931(x102411,x102411),f250(x102412,x102411,x102412,x102411,x102413,x102413)),x102414)) % 186.59/186.36 [10429]~E(f862(f182(f925(x104291)),x104293),f862(f182(f925(x104291)),x104292))+P1(f862(f862(f321(f931(f925(x104291),f925(x104291))),f862(f862(f244(f925(x104291),f925(x104291)),x104292),x104293)),f151(x104291,x104294)))+~P1(f862(f862(f249(x104291,x104291,a921),f862(f862(f9(x104291,f932(f931(x104291,x104291),a921),f932(x104291,a921)),f862(f862(f10(f932(x104291,f932(f932(f931(x104291,x104291),a921),a921)),f932(f932(f931(x104291,x104291),a921),f932(x104291,a921)),x104291),f9(x104291,f932(f931(x104291,x104291),a921),a921)),f862(f862(f10(f932(x104291,f931(x104291,x104291)),f932(x104291,f932(f932(f931(x104291,x104291),a921),a921)),x104291),f862(f10(f931(x104291,x104291),f932(f932(f931(x104291,x104291),a921),a921),x104291),f321(f931(x104291,x104291)))),f244(x104291,x104291)))),x104294)),f671(x104294,x104293,x104292,x104291))) % 186.59/186.36 [6269]~P61(x62691)+~E(x62692,f2(x62691))+E(f862(f862(f29(x62691),f862(f862(f74(x62691),x62692),x62693)),f862(f862(f74(x62691),x62692),x62694)),f2(x62691)) % 186.59/186.36 [6311]E(x63111,f106(x63112))+E(x63113,f862(f862(f3(a924),f862(f182(f925(x63112)),x63111)),f71(a924)))+E(f137(x63112,f862(f862(f152(x63112,x63111),x63113),x63114)),f137(x63112,x63111)) % 186.59/186.36 [6346]E(x63461,x63462)+P1(f862(x63463,x63462))+~P1(f862(f862(f862(f301(x63464),x63461),x63463),x63462)) % 186.59/186.36 [6362]~P72(x63621)+~P1(f862(f130(x63622),x63624))+E(f862(f158(x63621),f862(f862(f147(x63622,x63621),x63623),x63624)),f862(f862(f8(x63622,x63621),x63623),f862(f165(x63622),x63624))) % 186.59/186.36 [6379]~P71(x63792)+~P1(f862(f54(x63791),x63794))+E(f862(f862(f11(x63791,x63792),f862(f18(x63792,x63791),x63793)),x63794),f862(f862(f236(x63792),x63793),f862(f28(x63791),x63794))) % 186.59/186.36 [6433]~P64(x64332)+E(x64331,f2(x64332))+E(f862(f862(f282(x64332),f862(f862(f74(x64332),x64333),x64331)),f862(f862(f74(x64332),x64334),x64331)),f862(f862(f282(x64332),x64333),x64334)) % 186.59/186.36 [6434]~P64(x64342)+E(x64341,f2(x64342))+E(f862(f862(f282(x64342),f862(f862(f74(x64342),x64341),x64343)),f862(f862(f74(x64342),x64341),x64344)),f862(f862(f282(x64342),x64343),x64344)) % 186.59/186.36 [6435]~P61(x64352)+E(x64351,f2(x64352))+E(f862(f862(f29(x64352),f862(f862(f74(x64352),x64353),x64351)),f862(f862(f74(x64352),x64354),x64351)),f862(f862(f29(x64352),x64353),x64354)) % 186.59/186.36 [6437]~P61(x64372)+E(x64371,f2(x64372))+E(f862(f862(f29(x64372),f862(f862(f74(x64372),x64371),x64373)),f862(f862(f74(x64372),x64371),x64374)),f862(f862(f29(x64372),x64373),x64374)) % 186.59/186.36 [6506]P1(f862(x65061,x65062))+~E(x65063,f862(f862(f73(a924),x65064),x65062))+~P1(f862(x65061,f862(f862(f3(a924),x65063),x65064))) % 186.59/186.36 [6591]~P1(f862(x65912,x65913))+~P1(f862(f153(x65911,x65912),x65914))+P1(f862(f153(x65911,x65912),f862(f862(f144(x65911),x65913),x65914))) % 186.59/186.36 [6632]E(x66321,f106(x66322))+~E(x66323,f862(f862(f3(a924),f862(f182(f925(x66322)),x66321)),f71(a924)))+E(f137(x66322,f862(f862(f152(x66322,x66321),x66323),x66324)),x66324) % 186.59/186.36 [6655]~P103(x66551)+~P1(f862(f862(f227(x66551),x66552),x66554))+P1(f862(f862(f227(x66551),x66552),f862(f862(f103(x66551),x66553),x66554))) % 186.59/186.36 [6656]~P103(x66561)+~P1(f862(f862(f227(x66561),x66562),x66563))+P1(f862(f862(f227(x66561),x66562),f862(f862(f103(x66561),x66563),x66564))) % 186.59/186.36 [6658]~P109(x66581)+~P1(f862(f862(f227(x66581),x66582),x66584))+P1(f862(f862(f227(x66581),x66582),f862(f862(f226(x66581),x66583),x66584))) % 186.59/186.36 [6660]~P109(x66601)+~P1(f862(f862(f227(x66601),x66602),x66603))+P1(f862(f862(f227(x66601),x66602),f862(f862(f226(x66601),x66603),x66604))) % 186.59/186.36 [6661]~P103(x66611)+~P1(f862(f862(f228(x66611),x66612),x66614))+P1(f862(f862(f228(x66611),x66612),f862(f862(f103(x66611),x66613),x66614))) % 186.59/186.36 [6662]~P103(x66621)+~P1(f862(f862(f228(x66621),x66622),x66623))+P1(f862(f862(f228(x66621),x66622),f862(f862(f103(x66621),x66623),x66624))) % 186.59/186.36 [6664]~P109(x66641)+~P1(f862(f862(f228(x66641),x66642),x66644))+P1(f862(f862(f228(x66641),x66642),f862(f862(f226(x66641),x66643),x66644))) % 186.59/186.36 [6666]~P109(x66661)+~P1(f862(f862(f228(x66661),x66662),x66663))+P1(f862(f862(f228(x66661),x66662),f862(f862(f226(x66661),x66663),x66664))) % 186.59/186.36 [6667]~P119(x66671)+~P1(f862(f862(f278(x66671),x66672),x66674))+P1(f862(f862(f278(x66671),x66672),f862(f862(f74(x66671),x66673),x66674))) % 186.59/186.36 [6668]~P119(x66681)+~P1(f862(f862(f278(x66681),x66682),x66683))+P1(f862(f862(f278(x66681),x66682),f862(f862(f74(x66681),x66683),x66684))) % 186.59/186.36 [6760]~E(f862(f862(f157(x67601),x67602),x67603),x67604)+E(f862(f862(f152(x67601,x67602),x67603),x67604),x67602)+~P1(f862(f862(f228(a924),x67603),f862(f182(f925(x67601)),x67602))) % 186.59/186.36 [6800]P1(f862(x68001,x68002))+~P1(f862(x68003,x68002))+~P1(f862(f862(f227(f932(x68004,a921)),x68003),x68001)) % 186.59/186.36 [6834]~E(f862(f862(f152(x68341,x68342),x68343),x68344),x68342)+E(f862(f862(f157(x68341),x68342),x68343),x68344)+~P1(f862(f862(f228(a924),x68343),f862(f182(f925(x68341)),x68342))) % 186.59/186.36 [6849]~P1(f862(f153(x68491,x68492),x68494))+~P1(f862(f153(x68491,x68492),x68493))+P1(f862(f153(x68491,x68492),f862(f862(f127(x68491),x68493),x68494))) % 186.59/186.36 [6955]E(x69551,f181(f932(x69552,a921)))+E(x69553,f181(f932(x69554,a921)))+~E(f862(f862(f246(x69554,x69552),x69553),f862(f18(f932(x69552,a921),x69554),x69551)),f181(f932(f931(x69554,x69552),a921))) % 186.59/186.36 [6976]E(x69761,x69762)+P1(f862(f862(f321(x69763),x69761),x69764))+~P1(f862(f862(f321(x69763),x69761),f862(f862(f301(x69763),x69762),x69764))) % 186.59/186.36 [6993]~P109(x69931)+P1(f862(f862(f227(x69931),x69932),x69933))+~P1(f862(f862(f227(x69931),x69932),f862(f862(f225(x69931),x69934),x69933))) % 186.59/186.36 [6995]~P109(x69951)+P1(f862(f862(f227(x69951),x69952),x69953))+~P1(f862(f862(f227(x69951),x69952),f862(f862(f225(x69951),x69953),x69954))) % 186.59/186.36 [6997]~P104(x69971)+P1(f862(f862(f227(x69971),x69972),x69973))+~P1(f862(f862(f227(x69971),x69972),f862(f862(f94(x69971),x69974),x69973))) % 186.59/186.36 [6999]~P104(x69991)+P1(f862(f862(f227(x69991),x69992),x69993))+~P1(f862(f862(f227(x69991),x69992),f862(f862(f94(x69991),x69993),x69994))) % 186.59/186.36 [7000]~P109(x70001)+P1(f862(f862(f228(x70001),x70002),x70003))+~P1(f862(f862(f228(x70001),x70002),f862(f862(f225(x70001),x70004),x70003))) % 186.59/186.36 [7001]~P109(x70011)+P1(f862(f862(f228(x70011),x70012),x70013))+~P1(f862(f862(f228(x70011),x70012),f862(f862(f225(x70011),x70013),x70014))) % 186.59/186.36 [7022]~E(f862(f862(f157(x70221),x70223),x70224),x70222)+P1(f862(f862(f321(x70221),x70222),f862(f165(x70221),x70223)))+~P1(f862(f862(f228(a924),x70224),f862(f182(f925(x70221)),x70223))) % 186.59/186.36 [7032]~P109(x70321)+~P11(x70321,f862(f862(f144(x70321),x70322),f862(f862(f144(x70321),x70323),x70324)))+P1(f862(f862(f227(x70321),x70322),x70323)) % 186.59/186.36 [7177]~P29(x71772,x71771,x71773)+P1(f862(x71771,f862(f862(f157(x71772),x71773),x71774)))+~P1(f862(f862(f228(a924),x71774),f862(f182(f925(x71772)),x71773))) % 186.59/186.36 [7196]E(x71961,f2(a1))+E(f862(f862(f29(a1),x71962),x71961),x71963)+~P1(f862(f42(x71962,x71961),f862(f862(f244(a1,a1),x71963),x71964))) % 186.59/186.36 [7217]E(f38(a1,x72172,x72171),x72173)+E(x72171,f2(a1))+~P1(f862(f42(x72172,x72171),f862(f862(f244(a1,a1),x72174),x72173))) % 186.59/186.36 [7337]P1(f862(f862(f321(x73371),x73372),x73373))+~P1(f862(f862(f321(x73371),x73372),x73374))+~P1(f862(f862(f228(f932(x73371,a921)),x73374),x73373)) % 186.59/186.36 [7338]P1(f862(f862(f321(x73381),x73382),x73383))+~P1(f862(f862(f321(x73381),x73382),x73384))+~P1(f862(f862(f227(f932(x73381,a921)),x73384),x73383)) % 186.59/186.36 [7349]~P113(x73491)+~E(x73493,f2(x73491))+P1(f862(f862(f278(x73491),f862(f862(f74(x73491),x73492),x73493)),f862(f862(f74(x73491),x73494),x73493))) % 186.59/186.36 [7350]~P113(x73501)+~E(x73502,f2(x73501))+P1(f862(f862(f278(x73501),f862(f862(f74(x73501),x73502),x73503)),f862(f862(f74(x73501),x73502),x73504))) % 186.59/186.36 [7453]P31(x74531,x74532,x74533)+~P1(f862(x74532,f862(f862(f157(x74531),x74533),x74534)))+~P1(f862(f862(f228(a924),x74534),f862(f182(f925(x74531)),x74533))) % 186.59/186.36 [7567]~P108(x75672)+~P1(f862(f862(f228(f932(x75671,x75672)),x75673),x75674))+P1(f862(f862(f227(f932(x75671,x75672)),x75673),x75674)) % 186.59/186.36 [7690]~P1(f862(f862(f321(x76901),x76902),x76904))+P1(f862(f862(f321(x76901),x76902),f30(f932(x76901,a921),x76903)))+~P1(f862(f862(f321(f932(x76901,a921)),x76904),x76903)) % 186.59/186.36 [7717]~P84(x77171)+~P1(f862(f862(f227(x77171),x77173),x77174))+P1(f862(f862(f227(x77171),f862(f862(f73(x77171),x77172),x77173)),f862(f862(f73(x77171),x77172),x77174))) % 186.59/186.36 [7718]~P85(x77181)+~P1(f862(f862(f227(x77181),x77183),x77184))+P1(f862(f862(f227(x77181),f862(f862(f73(x77181),x77182),x77183)),f862(f862(f73(x77181),x77182),x77184))) % 186.59/186.36 [7719]~P84(x77191)+~P1(f862(f862(f227(x77191),x77192),x77194))+P1(f862(f862(f227(x77191),f862(f862(f73(x77191),x77192),x77193)),f862(f862(f73(x77191),x77194),x77193))) % 186.59/186.36 [7720]~P85(x77201)+~P1(f862(f862(f227(x77201),x77202),x77204))+P1(f862(f862(f227(x77201),f862(f862(f73(x77201),x77202),x77203)),f862(f862(f73(x77201),x77204),x77203))) % 186.59/186.36 [7721]~P83(x77211)+~P1(f862(f862(f228(x77211),x77213),x77214))+P1(f862(f862(f228(x77211),f862(f862(f73(x77211),x77212),x77213)),f862(f862(f73(x77211),x77212),x77214))) % 186.59/186.36 [7722]~P84(x77221)+~P1(f862(f862(f228(x77221),x77223),x77224))+P1(f862(f862(f228(x77221),f862(f862(f73(x77221),x77222),x77223)),f862(f862(f73(x77221),x77222),x77224))) % 186.59/186.36 [7723]~P83(x77231)+~P1(f862(f862(f228(x77231),x77232),x77234))+P1(f862(f862(f228(x77231),f862(f862(f73(x77231),x77232),x77233)),f862(f862(f73(x77231),x77234),x77233))) % 186.59/186.36 [7724]~P84(x77241)+~P1(f862(f862(f228(x77241),x77242),x77244))+P1(f862(f862(f228(x77241),f862(f862(f73(x77241),x77242),x77243)),f862(f862(f73(x77241),x77244),x77243))) % 186.59/186.36 [7725]~P113(x77251)+~P1(f862(f862(f278(x77251),x77253),x77254))+P1(f862(f862(f278(x77251),f862(f862(f74(x77251),x77252),x77253)),f862(f862(f74(x77251),x77252),x77254))) % 186.59/186.36 [7726]~P113(x77261)+~P1(f862(f862(f278(x77261),x77262),x77264))+P1(f862(f862(f278(x77261),f862(f862(f74(x77261),x77262),x77263)),f862(f862(f74(x77261),x77264),x77263))) % 186.59/186.36 [7733]~P125(x77331)+~P99(x77331)+E(f862(f862(f3(x77331),f862(f862(f74(x77331),x77332),f862(f96(x77331),x77333))),f862(f862(f74(x77331),x77334),f862(f96(x77331),x77333))),f862(f862(f74(x77331),f862(f862(f3(x77331),x77332),x77334)),f862(f96(x77331),x77333))) % 186.59/186.36 [7734]~P140(x77341)+~P99(x77341)+E(f862(f862(f73(x77341),f862(f862(f74(x77341),x77342),f862(f96(x77341),x77343))),f862(f862(f74(x77341),x77344),f862(f96(x77341),x77343))),f862(f862(f74(x77341),f862(f862(f73(x77341),x77342),x77344)),f862(f96(x77341),x77343))) % 186.59/186.36 [7771]~P72(x77711)+E(f862(f862(f73(x77711),f862(x77712,x77713)),f862(f862(f8(a924,x77711),x77712),f296(a924,f862(a105,x77713),x77714))),f862(f862(f8(a924,x77711),x77712),f296(a924,x77713,x77714)))+~P1(f862(f862(f227(a924),x77713),x77714)) % 186.59/186.36 [7783]~P22(x77832,x77831,x77833,f862(f165(x77832),x77834))+~P1(f862(f130(x77832),x77834))+P1(f862(f130(x77831),f862(f862(f147(x77832,x77831),x77833),x77834))) % 186.59/186.36 [7832]~P1(f862(f862(f227(a924),x78322),x78324))+~P1(f862(f862(f227(a924),x78321),x78323))+P1(f862(f862(f227(a924),f862(f862(f74(a924),x78321),x78322)),f862(f862(f74(a924),x78323),x78324))) % 186.59/186.36 [7833]~P1(f862(f862(f227(a924),x78332),x78334))+~P1(f862(f862(f227(a924),x78331),x78333))+P1(f862(f862(f227(a924),f862(f862(f73(a924),x78331),x78332)),f862(f862(f73(a924),x78333),x78334))) % 186.59/186.36 [7836]~P1(f862(f862(f228(a924),x78362),x78364))+~P1(f862(f862(f228(a924),x78361),x78363))+P1(f862(f862(f228(a924),f862(f862(f73(a924),x78361),x78362)),f862(f862(f73(a924),x78363),x78364))) % 186.59/186.36 [7837]~P1(f862(f862(f227(a1),x78372),x78374))+~P1(f862(f862(f228(a1),x78371),x78373))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x78371),x78372)),f862(f862(f73(a1),x78373),x78374))) % 186.59/186.36 [7885]P1(f862(f862(f321(x78851),x78852),x78853))+~P1(f862(f862(f321(x78851),x78852),f31(f932(x78851,a921),x78854)))+~P1(f862(f862(f321(f932(x78851,a921)),x78853),x78854)) % 186.59/186.36 [7902]~P1(f862(x79021,f665(x79021,x79023,x79022)))+P1(f862(x79021,f862(f862(f157(x79022),x79023),x79024)))+~P1(f862(f862(f228(a924),x79024),f862(f182(f925(x79022)),x79023))) % 186.59/186.36 [7907]P1(f862(x79071,x79072))+~P1(f862(f862(f321(x79074),x79072),f862(f165(x79074),x79073)))+P1(f862(f862(f228(a924),f667(x79071,x79073,x79074)),f862(f182(f925(x79074)),x79073))) % 186.59/186.36 [7954]~P108(x79541)+~P1(f862(f862(f228(f932(x79542,x79541)),x79544),x79543))+~P1(f862(f862(f227(f932(x79542,x79541)),x79543),x79544)) % 186.59/186.36 [7997]~P1(f862(x79974,x79972))+~P1(f862(f862(f321(x79971),x79972),x79973))+P1(f862(f862(f321(x79971),x79972),f862(f862(f94(f932(x79971,a921)),x79973),f862(f254(x79971),x79974)))) % 186.59/186.36 [8144]~P1(f862(f862(f321(x81441),x81443),x81444))+~P1(f862(f862(f228(f932(x81441,a921)),x81442),x81444))+P1(f862(f862(f228(f932(x81441,a921)),x81442),f862(f862(f301(x81441),x81443),x81444))) % 186.59/186.36 [8146]E(f862(f862(f94(f932(x81461,a921)),x81462),x81463),f181(f932(x81461,a921)))+~E(f862(f862(f94(f932(x81461,a921)),f30(f932(x81461,a921),x81464)),x81463),f181(f932(x81461,a921)))+~P1(f862(f862(f321(f932(x81461,a921)),x81462),x81464)) % 186.59/186.36 [8222]P1(f862(f862(f321(x82221),x82222),x82223))+~P1(f862(f862(f227(f932(x82221,a921)),x82223),f862(f862(f301(x82221),x82222),x82224)))+P1(f862(f862(f227(f932(x82221,a921)),x82223),x82224)) % 186.59/186.36 [8239]P1(f862(f862(f321(x82392),f665(x82391,x82393,x82392)),f862(f165(x82392),x82393)))+P1(f862(x82391,f862(f862(f157(x82392),x82393),x82394)))+~P1(f862(f862(f228(a924),x82394),f862(f182(f925(x82392)),x82393))) % 186.59/186.36 [8247]~P1(f862(f862(f227(f932(x82471,a921)),x82472),x82474))+P1(f862(f862(f227(f932(x82471,a921)),x82472),x82473))+~P1(f862(f862(f227(f932(x82471,a921)),x82474),x82473)) % 186.59/186.36 [8248]~P1(f862(f862(f228(f932(x82481,a921)),x82482),x82484))+~P1(f862(f862(f227(f932(x82481,a921)),x82484),x82483))+P1(f862(f862(f228(f932(x82481,a921)),x82482),x82483)) % 186.59/186.36 [8249]~P1(f862(f862(f227(f932(x82491,a921)),x82492),x82494))+~P1(f862(f862(f228(f932(x82491,a921)),x82494),x82493))+P1(f862(f862(f228(f932(x82491,a921)),x82492),x82493)) % 186.59/186.36 [8250]~P1(f862(f862(f228(f932(x82501,a921)),x82502),x82504))+P1(f862(f862(f228(f932(x82501,a921)),x82502),x82503))+~P1(f862(f862(f228(f932(x82501,a921)),x82504),x82503)) % 186.59/186.36 [8295]~P1(f862(f862(f321(x82951),x82954),x82953))+~P1(f862(f862(f228(f932(x82951,a921)),x82952),f862(f862(f301(x82951),x82954),x82953)))+P1(f862(f862(f228(f932(x82951,a921)),x82952),x82953)) % 186.59/186.36 [8306]~P84(x83061)+P1(f862(f862(f227(x83061),x83062),x83063))+~P1(f862(f862(f227(x83061),f862(f862(f73(x83061),x83064),x83062)),f862(f862(f73(x83061),x83064),x83063))) % 186.59/186.36 [8308]~P84(x83081)+P1(f862(f862(f227(x83081),x83082),x83083))+~P1(f862(f862(f227(x83081),f862(f862(f73(x83081),x83082),x83084)),f862(f862(f73(x83081),x83083),x83084))) % 186.59/186.36 [8310]~P84(x83101)+P1(f862(f862(f228(x83101),x83102),x83103))+~P1(f862(f862(f228(x83101),f862(f862(f73(x83101),x83104),x83102)),f862(f862(f73(x83101),x83104),x83103))) % 186.59/186.36 [8312]~P84(x83121)+P1(f862(f862(f228(x83121),x83122),x83123))+~P1(f862(f862(f228(x83121),f862(f862(f73(x83121),x83122),x83124)),f862(f862(f73(x83121),x83123),x83124))) % 186.59/186.36 [8363]P1(f862(x83631,x83632))+~E(f862(f862(f131(x83633),f862(f182(f925(x83633)),f170(x83633,x83631,x83634))),x83634),f106(x83633))+~P1(f862(f862(f321(x83633),x83632),f862(f165(x83633),x83634))) % 186.59/186.36 [8482]P1(f862(x84821,x84822))+~P1(f862(f862(f321(x84823),x84822),f862(f165(x84823),x84824)))+P1(f862(f862(f228(a924),f862(f182(f925(x84823)),f862(f129(x84823,x84821),x84824))),f862(f182(f925(x84823)),x84824))) % 186.59/186.36 [8974]~P1(f862(x89741,f759(x89741,x89743,x89742,x89744)))+P1(f862(x89741,f862(f862(f157(x89742),x89743),x89744)))+~P1(f862(f862(f228(a924),x89744),f862(f182(f925(x89742)),x89743))) % 186.59/186.36 [8998]~P22(x89984,x89983,x89981,f234(f932(x89984,a921)))+E(f862(x89981,f539(x89982,x89981,x89983,x89984)),x89982)+~P1(f862(f862(f321(x89983),x89982),f862(f302(x89984,x89983,x89981),f234(f932(x89984,a921))))) % 186.59/186.36 [9068]E(f170(x90681,x90682,x90683),f862(f862(f168(x90681),x90684),x90683))+P1(f862(f862(f228(a924),f729(x90682,x90683,x90681,x90684)),x90684))+P1(f862(f862(f228(a924),x90684),f862(f182(f925(x90681)),x90683))) % 186.59/186.36 [9071]E(f170(x90711,x90712,x90713),f862(f862(f168(x90711),x90714),x90713))+P1(f862(f862(f228(a924),f729(x90712,x90713,x90711,x90714)),x90714))+P1(f862(x90712,f862(f862(f157(x90711),x90713),x90714))) % 186.59/186.36 [9106]P1(f862(x91061,x91062))+~P1(f862(f862(f321(x91064),x91062),f862(f165(x91064),x91063)))+P1(f862(f862(f228(a924),f705(x91062,x91061,x91063,x91064)),f862(f182(f925(x91064)),x91063))) % 186.59/186.36 [9108]E(f170(x91081,x91082,x91083),f862(f862(f168(x91081),x91084),x91083))+P1(f862(f862(f228(a924),x91084),f862(f182(f925(x91081)),x91083)))+P1(f862(f862(f228(a924),f729(x91082,x91083,x91081,x91084)),f862(f182(f925(x91081)),x91083))) % 186.59/186.36 [9115]E(f170(x91151,x91152,x91153),f862(f862(f168(x91151),x91154),x91153))+P1(f862(x91152,f862(f862(f157(x91151),x91153),x91154)))+P1(f862(f862(f228(a924),f729(x91152,x91153,x91151,x91154)),f862(f182(f925(x91151)),x91153))) % 186.59/186.36 [9140]~P127(x91404)+P1(f862(f862(f321(x91401),f445(x91402,x91403,x91401,x91404)),x91403))+P1(f862(f862(f228(x91404),f2(x91404)),f862(f862(f11(x91401,x91404),x91402),x91403))) % 186.59/186.36 [9141]~P127(x91414)+P1(f862(f862(f321(x91411),f446(x91412,x91413,x91411,x91414)),x91413))+P1(f862(f862(f227(x91414),f2(x91414)),f862(f862(f11(x91411,x91414),x91412),x91413))) % 186.59/186.36 [9166]~P1(f862(f54(x91661),x91664))+P1(f862(f862(f321(x91661),f571(x91662,x91663,x91664,x91661)),x91664))+P1(f862(f54(f931(x91661,x91663)),f862(f862(f246(x91661,x91663),x91664),x91662))) % 186.59/186.36 [9198]P1(f862(f862(f321(x91982),f759(x91981,x91983,x91982,x91984)),f862(f165(x91982),x91983)))+P1(f862(x91981,f862(f862(f157(x91982),x91983),x91984)))+~P1(f862(f862(f228(a924),x91984),f862(f182(f925(x91982)),x91983))) % 186.59/186.36 [9329]P1(f862(f862(f227(a924),x93294),f862(f182(f925(x93292)),f170(x93292,x93293,x93291))))+P1(f862(f862(f228(a924),f730(x93291,x93292,x93293,x93294)),x93294))+~P1(f862(f862(f227(a924),x93294),f862(f182(f925(x93292)),x93291))) % 186.59/186.36 [9482]E(f170(x94821,x94822,x94823),f862(f862(f168(x94821),x94824),x94823))+~P1(f862(x94822,f862(f862(f157(x94821),x94823),f729(x94822,x94823,x94821,x94824))))+P1(f862(f862(f228(a924),x94824),f862(f182(f925(x94821)),x94823))) % 186.59/186.36 [9489]E(f170(x94891,x94892,x94893),f862(f862(f168(x94891),x94894),x94893))+~P1(f862(x94892,f862(f862(f157(x94891),x94893),f729(x94892,x94893,x94891,x94894))))+P1(f862(x94892,f862(f862(f157(x94891),x94893),x94894))) % 186.59/186.36 [9493]~P1(f862(f54(x94931),x94933))+~P1(f862(f54(x94932),f862(x94934,f571(x94934,x94932,x94933,x94931))))+P1(f862(f54(f931(x94931,x94932)),f862(f862(f246(x94931,x94932),x94933),x94934))) % 186.59/186.36 [9501]~P127(x95011)+~P1(f862(f862(f227(x95011),f2(x95011)),f862(x95013,f446(x95013,x95014,x95012,x95011))))+P1(f862(f862(f227(x95011),f2(x95011)),f862(f862(f11(x95012,x95011),x95013),x95014))) % 186.59/186.36 [9502]~P127(x95021)+~P1(f862(f862(f228(x95021),f2(x95021)),f862(x95023,f445(x95023,x95024,x95022,x95021))))+P1(f862(f862(f228(x95021),f2(x95021)),f862(f862(f11(x95022,x95021),x95023),x95024))) % 186.59/186.36 [9510]~E(f862(f182(f925(x95104)),x95102),f862(f182(f925(x95104)),x95103))+P1(f862(f862(f321(f931(f925(x95104),f925(x95104))),f862(f862(f244(f925(x95104),f925(x95104)),x95103),x95102)),f151(x95104,x95101)))+P1(f862(f862(f228(a924),f659(x95101,x95102,x95103,x95104)),f862(f182(f925(x95104)),x95103))) % 186.59/186.36 [9564]~P1(f862(x95643,f862(f862(f157(x95642),x95644),f730(x95644,x95642,x95643,x95641))))+P1(f862(f862(f227(a924),x95641),f862(f182(f925(x95642)),f170(x95642,x95643,x95644))))+~P1(f862(f862(f227(a924),x95641),f862(f182(f925(x95642)),x95644))) % 186.59/186.36 [9646]E(f862(f862(f168(x96461),f666(x96462,x96463,x96464,x96461)),x96463),f862(f862(f168(x96461),f666(x96462,x96463,x96464,x96461)),x96464))+~P1(f862(f862(f321(f931(f925(x96461),f925(x96461))),f862(f862(f244(f925(x96461),f925(x96461)),x96464),x96463)),f140(x96461,x96462)))+P1(f862(f862(f228(a924),f862(f182(f925(x96461)),x96464)),f862(f182(f925(x96461)),x96463))) % 186.59/186.36 [9709]~P1(f862(f862(f228(a924),f2(a924)),x97093))+~P1(f862(f862(f228(a924),x97094),x97091))+P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),x97091),f38(a924,x97092,x97093))),x97094)),f862(f862(f74(a924),x97091),x97093))) % 186.59/186.36 [9900]~P108(x99002)+~P1(f862(f862(f227(x99002),f862(x99003,f435(x99004,x99003,x99001,x99002))),f862(x99004,f435(x99004,x99003,x99001,x99002))))+P1(f862(f862(f227(f932(x99001,x99002)),x99003),x99004)) % 186.59/186.36 [9901]~P108(x99012)+~P1(f862(f862(f227(x99012),f862(x99013,f568(x99011,x99014,x99013,x99012))),f862(x99014,f568(x99011,x99014,x99013,x99012))))+P1(f862(f862(f227(f932(x99011,x99012)),x99013),x99014)) % 186.59/186.36 [10005]~P59(x100051)+E(f862(f862(f8(a924,x100051),f862(f862(f20(a924,x100051,x100051),f862(f862(f10(x100051,f932(x100051,x100051),a924),f3(x100051)),x100052)),f862(f862(f10(a924,x100051,a924),x100052),f862(f862(f9(a924,a924,a924),f73(a924)),f71(a924))))),f296(a924,x100053,x100054)),f862(f862(f3(x100051),f862(x100052,x100053)),f862(x100052,f862(f862(f73(a924),x100054),f71(a924)))))+~P1(f862(f862(f227(a924),x100053),x100054)) % 186.59/186.36 [10080]~P35(x100803,f862(f862(f280(x100803,x100803,x100803),x100802),f299(x100803,x100802)))+~P1(f862(f862(f321(f931(x100803,x100803)),f862(f862(f244(x100803,x100803),f862(x100801,f862(a105,f841(x100802,x100801,x100803)))),f862(x100801,f841(x100802,x100801,x100803)))),f299(x100803,x100802)))+E(f862(x100801,f862(f862(f73(a924),f840(x100802,x100801,x100803)),x100804)),f862(x100801,f840(x100802,x100801,x100803))) % 186.59/186.36 [6940]~P61(x69401)+E(f862(f862(f29(x69401),f862(f862(f74(x69401),x69402),x69403)),x69404),f862(f862(f74(x69401),x69402),f862(f862(f29(x69401),x69403),x69404)))+~P1(f862(f862(f278(x69401),x69404),x69403)) % 186.59/186.36 [7026]E(f862(f862(f127(x70261),x70262),x70263),x70264)+~E(x70263,f862(f862(f131(x70261),f862(f182(f925(x70261)),x70262)),x70264))+~E(f862(f862(f168(x70261),f862(f182(f925(x70261)),x70262)),x70264),x70262) % 186.59/186.36 [7082]~P65(x70822)+E(x70821,f2(x70822))+E(f862(f862(f282(x70822),f862(f862(f236(x70822),x70823),x70824)),f862(f862(f236(x70822),x70821),x70824)),f862(f862(f236(x70822),f862(f862(f282(x70822),x70823),x70821)),x70824)) % 186.59/186.36 [7225]~P61(x72251)+E(f862(f862(f29(x72251),f862(f862(f74(x72251),x72252),x72253)),x72254),f862(f862(f74(x72251),f862(f862(f29(x72251),x72252),x72254)),x72253))+~P1(f862(f862(f278(x72251),x72254),x72252)) % 186.59/186.36 [7233]~P104(x72331)+~P1(f862(f862(f227(x72331),x72333),x72334))+P1(f862(f862(f227(x72331),f862(f862(f94(x72331),x72332),x72333)),x72334)) % 186.59/186.36 [7234]~P104(x72341)+~P1(f862(f862(f227(x72341),x72342),x72344))+P1(f862(f862(f227(x72341),f862(f862(f94(x72341),x72342),x72343)),x72344)) % 186.59/186.36 [7236]~P109(x72361)+~P1(f862(f862(f227(x72361),x72363),x72364))+P1(f862(f862(f227(x72361),f862(f862(f225(x72361),x72362),x72363)),x72364)) % 186.59/186.36 [7238]~P109(x72381)+~P1(f862(f862(f227(x72381),x72382),x72384))+P1(f862(f862(f227(x72381),f862(f862(f225(x72381),x72382),x72383)),x72384)) % 186.59/186.36 [7239]~P104(x72391)+~P1(f862(f862(f228(x72391),x72393),x72394))+P1(f862(f862(f228(x72391),f862(f862(f94(x72391),x72392),x72393)),x72394)) % 186.59/186.36 [7240]~P104(x72401)+~P1(f862(f862(f228(x72401),x72402),x72404))+P1(f862(f862(f228(x72401),f862(f862(f94(x72401),x72402),x72403)),x72404)) % 186.59/186.36 [7242]~P109(x72421)+~P1(f862(f862(f228(x72421),x72423),x72424))+P1(f862(f862(f228(x72421),f862(f862(f225(x72421),x72422),x72423)),x72424)) % 186.59/186.36 [7244]~P109(x72441)+~P1(f862(f862(f228(x72441),x72442),x72444))+P1(f862(f862(f228(x72441),f862(f862(f225(x72441),x72442),x72443)),x72444)) % 186.59/186.36 [7267]~P1(f862(x72673,x72674))+~P1(f862(x72672,x72674))+P1(f862(f862(f862(f94(f932(x72671,a921)),x72672),x72673),x72674)) % 186.59/186.36 [7761]~P72(x77611)+E(f862(f862(f73(x77611),f862(x77612,x77613)),f862(f862(f8(a924,x77611),x77612),f862(f295(a924,f862(a105,x77613)),x77614))),f862(f862(f8(a924,x77611),x77612),f862(f295(a924,x77613),x77614)))+~P1(f862(f862(f228(a924),x77613),x77614)) % 186.59/186.36 [7779]E(x77791,x77792)+P1(f862(f862(f165(x77793),x77794),x77792))+~P1(f862(f862(f165(x77793),f862(f862(f144(x77793),x77791),x77794)),x77792)) % 186.59/186.36 [7791]~P109(x77911)+P1(f862(f862(f227(x77911),x77912),x77913))+~P1(f862(f862(f227(x77911),f862(f862(f226(x77911),x77914),x77912)),x77913)) % 186.59/186.36 [7793]~P109(x77931)+P1(f862(f862(f227(x77931),x77932),x77933))+~P1(f862(f862(f227(x77931),f862(f862(f226(x77931),x77932),x77934)),x77933)) % 186.59/186.36 [7795]~P103(x77951)+P1(f862(f862(f227(x77951),x77952),x77953))+~P1(f862(f862(f227(x77951),f862(f862(f103(x77951),x77954),x77952)),x77953)) % 186.59/186.36 [7797]~P103(x77971)+P1(f862(f862(f227(x77971),x77972),x77973))+~P1(f862(f862(f227(x77971),f862(f862(f103(x77971),x77972),x77974)),x77973)) % 186.59/186.36 [7798]~P109(x77981)+P1(f862(f862(f228(x77981),x77982),x77983))+~P1(f862(f862(f228(x77981),f862(f862(f226(x77981),x77984),x77982)),x77983)) % 186.59/186.36 [7799]~P109(x77991)+P1(f862(f862(f228(x77991),x77992),x77993))+~P1(f862(f862(f228(x77991),f862(f862(f226(x77991),x77992),x77994)),x77993)) % 186.59/186.36 [7800]~P119(x78001)+P1(f862(f862(f278(x78001),x78002),x78003))+~P1(f862(f862(f278(x78001),f862(f862(f74(x78001),x78004),x78002)),x78003)) % 186.59/186.36 [7801]~P119(x78011)+P1(f862(f862(f278(x78011),x78012),x78013))+~P1(f862(f862(f278(x78011),f862(f862(f74(x78011),x78012),x78014)),x78013)) % 186.59/186.36 [7877]~P1(f862(f862(f321(x78771),x78772),x78774))+P1(f862(f862(f321(x78771),x78772),x78773))+P1(f862(f862(f321(x78771),x78772),f862(f862(f3(f932(x78771,a921)),x78774),x78773))) % 186.59/186.36 [7961]P1(f862(x79611,x79612))+P1(f862(x79613,x79612))+~P1(f862(f862(f862(f103(f932(x79614,a921)),x79613),x79611),x79612)) % 186.59/186.36 [7972]~P1(f862(f862(f321(x79721),x79722),x79724))+~P1(f862(f862(f321(x79721),x79722),x79723))+P1(f862(f862(f321(x79721),x79722),f862(f862(f94(f932(x79721,a921)),x79723),x79724))) % 186.59/186.36 [8020]~P103(x80201)+~P1(f862(f54(x80201),x80204))+E(f862(f862(f57(x80201,x80201,f103(x80201)),x80202),f862(f862(f301(x80201),x80203),x80204)),f862(f862(f103(x80201),x80203),f862(f862(f57(x80201,x80201,f103(x80201)),x80202),x80204))) % 186.59/186.36 [8021]~P104(x80211)+~P1(f862(f54(x80211),x80214))+E(f862(f862(f57(x80211,x80211,f94(x80211)),x80212),f862(f862(f301(x80211),x80213),x80214)),f862(f862(f94(x80211),x80213),f862(f862(f57(x80211,x80211,f94(x80211)),x80212),x80214))) % 186.59/186.36 [8022]~P109(x80221)+~P1(f862(f54(x80221),x80224))+E(f862(f862(f57(x80221,x80221,f225(x80221)),x80222),f862(f862(f301(x80221),x80223),x80224)),f862(f862(f225(x80221),x80223),f862(f862(f57(x80221,x80221,f225(x80221)),x80222),x80224))) % 186.59/186.36 [8023]~P109(x80231)+~P1(f862(f54(x80231),x80234))+E(f862(f862(f57(x80231,x80231,f226(x80231)),x80232),f862(f862(f301(x80231),x80233),x80234)),f862(f862(f226(x80231),x80233),f862(f862(f57(x80231,x80231,f226(x80231)),x80232),x80234))) % 186.59/186.36 [8025]~P125(x80251)+~P99(x80251)+E(f862(f862(f3(x80251),f862(f862(f74(x80251),f862(f96(x80251),x80252)),x80253)),f862(f862(f74(x80251),f862(f96(x80251),x80252)),x80254)),f862(f862(f74(x80251),f862(f96(x80251),x80252)),f862(f862(f3(x80251),x80253),x80254))) % 186.59/186.36 [8026]~P140(x80261)+~P99(x80261)+E(f862(f862(f73(x80261),f862(f862(f74(x80261),f862(f96(x80261),x80262)),x80263)),f862(f862(f74(x80261),f862(f96(x80261),x80262)),x80264)),f862(f862(f74(x80261),f862(f96(x80261),x80262)),f862(f862(f73(x80261),x80263),x80264))) % 186.59/186.36 [8142]E(x81421,x81422)+P1(f862(f862(f321(x81423),x81421),f862(f165(x81423),x81424)))+~P1(f862(f862(f321(x81423),x81421),f862(f165(x81423),f862(f862(f144(x81423),x81422),x81424)))) % 186.59/186.36 [8317]P52(x83171,x83172,x83173)+~P52(x83171,x83172,x83174)+~P1(f862(f862(f227(f932(f931(x83171,x83172),a921)),x83173),x83174)) % 186.59/186.36 [8365]P1(f862(f862(f321(x83651),x83652),x83653))+P1(f862(f862(f321(x83651),x83652),x83654))+~P1(f862(f862(f321(x83651),x83652),f862(f862(f103(f932(x83651,a921)),x83654),x83653))) % 186.59/186.36 [8376]~P50(x83761,x83764,x83763)+~P1(f862(f862(f321(x83761),x83762),x83764))+P1(f862(f862(f321(f931(x83761,x83761)),f862(f862(f244(x83761,x83761),x83762),x83762)),x83763)) % 186.59/186.36 [8388]~P1(f862(f54(x83882),x83884))+~P1(f862(f54(x83881),x83883))+P1(f862(f54(f931(x83881,x83882)),f862(f862(f246(x83881,x83882),x83883),f862(f18(f932(x83882,a921),x83881),x83884)))) % 186.59/186.36 [8389]~P1(f862(f862(f321(x83891),x83892),x83894))+~P1(f862(f862(f227(f932(x83891,a921)),x83893),x83894))+P1(f862(f862(f227(f932(x83891,a921)),f862(f862(f301(x83891),x83892),x83893)),x83894)) % 186.59/186.36 [8396]~P71(x83962)+~P147(x83962)+E(f862(f862(f11(x83961,x83962),f862(f862(f10(a924,x83962,x83961),f93(x83962)),x83963)),x83964),f862(f93(x83962),f862(f862(f11(x83961,a924),x83963),x83964))) % 186.59/186.36 [8397]~P71(x83972)+~P142(x83972)+E(f862(f862(f11(x83971,x83972),f862(f862(f10(a1,x83972,x83971),f95(x83972)),x83973)),x83974),f862(f95(x83972),f862(f862(f11(x83971,a1),x83973),x83974))) % 186.59/186.36 [8421]E(f862(f862(f3(f932(x84211,a921)),x84212),f862(f862(f3(f932(x84211,a921)),x84213),x84214)),x84214)+~P1(f862(f862(f227(f932(x84211,a921)),x84212),x84213))+~P1(f862(f862(f227(f932(x84211,a921)),x84214),x84212)) % 186.59/186.36 [8517]~P1(f862(f54(x85171),x85174))+E(f862(f862(f3(a924),f862(f862(f8(x85171,a924),x85172),x85173)),f862(f862(f8(x85171,a924),x85172),x85174)),f862(f862(f8(x85171,a924),x85172),f862(f862(f3(f932(x85171,a921)),x85173),x85174)))+~P1(f862(f862(f227(f932(x85171,a921)),x85174),x85173)) % 186.59/186.36 [8669]~P6(x86691,x86694,x86693)+~P1(f862(f862(f321(x86691),x86692),x86694))+P1(f862(f862(f321(x86691),x86692),f862(f276(x86691,x86691,x86693),f862(f862(f301(x86691),x86692),f181(f932(x86691,a921)))))) % 186.59/186.36 [8731]~P1(f862(f862(f227(f932(x87311,a921)),x87312),x87313))+~P1(f862(f862(f227(f932(x87311,a921)),x87312),x87314))+P1(f862(f862(f227(f932(x87311,a921)),x87312),f862(f862(f94(f932(x87311,a921)),x87313),x87314))) % 186.59/186.36 [8834]E(x88341,f181(f932(x88342,a921)))+P1(f862(f54(x88343),x88344))+~P1(f862(f54(f931(x88343,x88342)),f862(f862(f246(x88343,x88342),x88344),f862(f18(f932(x88342,a921),x88343),x88341)))) % 186.59/186.36 [8835]E(x88351,f181(f932(x88352,a921)))+P1(f862(f54(x88353),x88354))+~P1(f862(f54(f931(x88352,x88353)),f862(f862(f246(x88352,x88353),x88351),f862(f18(f932(x88353,a921),x88352),x88354)))) % 186.59/186.36 [8909]P1(f862(f862(f321(x89091),x89092),f308(x89091,x89093)))+~P1(f862(f862(f321(x89091),x89094),f308(x89091,x89093)))+~P1(f862(f862(f321(f931(x89091,x89091)),f862(f862(f244(x89091,x89091),x89092),x89094)),x89093)) % 186.59/186.36 [8966]~P35(x89661,x89664)+P1(f862(f862(f321(f931(x89661,x89661)),f862(f862(f244(x89661,x89661),x89663),x89662)),f299(x89661,x89664)))+P35(x89661,f862(f862(f301(f931(x89661,x89661)),f862(f862(f244(x89661,x89661),x89662),x89663)),x89664)) % 186.59/186.36 [8967]~P55(x89671,x89674)+P1(f862(f862(f321(f931(x89671,x89671)),f862(f862(f244(x89671,x89671),x89673),x89672)),f299(x89671,x89674)))+P55(x89671,f862(f862(f301(f931(x89671,x89671)),f862(f862(f244(x89671,x89671),x89672),x89673)),x89674)) % 186.59/186.36 [9051]~E(x90512,x90513)+~P1(f862(f862(f321(x90511),x90512),f862(f165(x90511),x90514)))+P1(f862(f862(f321(f931(x90511,x90511)),f862(f862(f244(x90511,x90511),x90512),x90513)),f862(f165(f931(x90511,x90511)),f862(f862(f174(x90511,x90511),x90514),x90514)))) % 186.59/186.36 [9139]~E(x91393,x91394)+P1(f862(f862(f249(x91391,x91391,a921),a317),x91392))+~P1(f862(f862(f321(f931(x91391,x91391)),x91392),f862(f165(f931(x91391,x91391)),f862(f862(f174(x91391,x91391),x91393),x91394)))) % 186.59/186.36 [9183]P1(f862(f862(f321(f931(f925(x91831),f925(x91831))),f862(f862(f244(f925(x91831),f925(x91831)),x91832),x91833)),f140(x91831,x91834)))+~E(f862(f862(f168(x91831),f862(f182(f925(x91831)),x91832)),x91833),x91832)+~P1(f862(f862(f228(a924),f862(f182(f925(x91831)),x91832)),f862(f182(f925(x91831)),x91833))) % 186.59/186.36 [9186]~P49(x91861,x91864)+~P1(f862(f862(f321(f931(x91861,x91861)),f862(f862(f244(x91861,x91861),x91863),x91862)),x91864))+P1(f862(f862(f321(f931(x91861,x91861)),f862(f862(f244(x91861,x91861),x91862),x91863)),x91864)) % 186.59/186.36 [9277]~P1(f862(f54(x92771),x92774))+P1(f862(f862(f321(x92771),f878(x92772,x92773,x92774,x92771)),x92774))+P1(f862(f54(x92773),f862(f862(f33(x92771,f932(x92773,a921)),x92774),x92772))) % 186.59/186.36 [9278]~P1(f862(f54(x92781),x92784))+P1(f862(f862(f321(x92781),f594(x92782,x92783,x92784,x92781)),x92784))+P1(f862(f54(x92783),f862(f862(f33(x92781,f932(x92783,a921)),x92784),x92782))) % 186.59/186.36 [9365]P1(f862(f862(f321(f931(x93651,x93651)),x93652),f862(f862(f280(x93651,x93651,x93651),x93653),f299(x93651,x93653))))+~P1(f862(f862(f228(a924),f2(a924)),x93654))+~P1(f862(f862(f321(f931(x93651,x93651)),x93652),f862(f862(f176(f931(x93651,x93651),a921),x93654),x93653))) % 186.59/186.36 [9373]~P35(x93731,x93732)+~P1(f862(f862(f321(f931(x93731,x93731)),f862(f862(f244(x93731,x93731),x93734),x93733)),x93732))+~P1(f862(f862(f321(f931(x93731,x93731)),f862(f862(f244(x93731,x93731),x93733),x93734)),x93732)) % 186.59/186.36 [9500]~P1(f862(f54(x95001),x95004))+E(f862(f862(f8(x95001,a924),f862(f862(f10(f932(x95002,a921),a924,x95001),f28(x95002)),x95003)),x95004),f862(f28(f931(x95001,x95002)),f862(f862(f246(x95001,x95002),x95004),x95003)))+P1(f862(f862(f321(x95001),f572(x95003,x95002,x95004,x95001)),x95004)) % 186.59/186.36 [9504]~P1(f862(f130(x95041),x95042))+P1(f862(f130(x95041),f862(f862(f152(x95041,x95042),x95043),x95044)))+P1(f862(f862(f321(x95041),x95044),f862(f862(f3(f932(x95041,a921)),f862(f165(x95041),x95042)),f862(f862(f301(x95041),f862(f862(f157(x95041),x95042),x95043)),f181(f932(x95041,a921)))))) % 186.59/186.36 [9521]~P1(f862(f54(x95212),x95213))+~P1(f862(f54(x95211),f862(x95214,f878(x95214,x95211,x95213,x95212))))+P1(f862(f54(x95211),f862(f862(f33(x95212,f932(x95211,a921)),x95213),x95214))) % 186.59/186.36 [9522]~P1(f862(f54(x95222),x95223))+~P1(f862(f54(x95221),f862(x95224,f594(x95224,x95221,x95223,x95222))))+P1(f862(f54(x95221),f862(f862(f33(x95222,f932(x95221,a921)),x95223),x95224))) % 186.59/186.36 [9603]~P1(f862(f862(f321(f931(x96031,x96031)),x96032),f862(f862(f280(x96031,x96031,x96031),x96034),f299(x96031,x96034))))+P1(f862(f862(f321(f931(x96031,x96031)),x96032),f862(f862(f280(x96031,x96031,x96031),x96033),f299(x96031,x96033))))+~P1(f862(f862(f227(f932(f931(x96031,x96031),a921)),x96034),x96033)) % 186.59/186.36 [9613]E(f862(f862(f168(x96131),f666(x96134,x96133,x96132,x96131)),x96133),f862(f862(f168(x96131),f666(x96134,x96133,x96132,x96131)),x96132))+~P1(f862(f862(f321(f931(f925(x96131),f925(x96131))),f862(f862(f244(f925(x96131),f925(x96131)),x96132),x96133)),f140(x96131,x96134)))+E(f862(f862(f168(x96131),f862(f182(f925(x96131)),x96132)),x96133),x96132) % 186.59/186.36 [9629]~P1(f862(f54(x96291),x96294))+E(f862(f862(f8(x96291,a924),f862(f862(f10(f932(x96292,a921),a924,x96291),f28(x96292)),x96293)),x96294),f862(f28(f931(x96291,x96292)),f862(f862(f246(x96291,x96292),x96294),x96293)))+~P1(f862(f54(x96292),f862(x96293,f572(x96293,x96292,x96294,x96291)))) % 186.59/186.36 [9633]~E(f862(f182(f925(x96331)),x96333),f862(f182(f925(x96331)),x96332))+P1(f862(f862(f321(f931(f925(x96331),f925(x96331))),f862(f862(f244(f925(x96331),f925(x96331)),x96332),x96333)),f151(x96331,x96334)))+P1(f862(f862(f321(f931(x96331,x96331)),f671(x96334,x96333,x96332,x96331)),f862(f165(f931(x96331,x96331)),f862(f862(f174(x96331,x96331),x96332),x96333)))) % 186.59/186.36 [9720]~P1(f862(f862(f321(f931(f925(x97201),f925(x97201))),f862(f862(f244(f925(x97201),f925(x97201)),x97202),x97203)),f140(x97201,x97204)))+E(f862(f862(f168(x97201),f862(f182(f925(x97201)),x97202)),x97203),x97202)+P1(f862(f862(f228(a924),f666(x97204,x97203,x97202,x97201)),f862(f862(f225(a924),f862(f182(f925(x97201)),x97202)),f862(f182(f925(x97201)),x97203)))) % 186.59/186.36 [9744]~P1(f862(f862(f321(f931(f925(x97441),f925(x97441))),f862(f862(f244(f925(x97441),f925(x97441)),x97442),x97443)),f140(x97441,x97444)))+P1(f862(f862(f228(a924),f862(f182(f925(x97441)),x97442)),f862(f182(f925(x97441)),x97443)))+P1(f862(f862(f228(a924),f666(x97444,x97443,x97442,x97441)),f862(f862(f225(a924),f862(f182(f925(x97441)),x97442)),f862(f182(f925(x97441)),x97443)))) % 186.59/186.36 [10150]~P1(f862(f862(f321(f931(f925(x101501),f925(x101501))),f862(f862(f244(f925(x101501),f925(x101501)),x101502),x101503)),f140(x101501,x101504)))+E(f862(f862(f168(x101501),f862(f182(f925(x101501)),x101502)),x101503),x101502)+P1(f862(f862(f321(f931(x101501,x101501)),f862(f862(f244(x101501,x101501),f862(f862(f157(x101501),x101502),f666(x101504,x101503,x101502,x101501))),f862(f862(f157(x101501),x101503),f666(x101504,x101503,x101502,x101501)))),x101504)) % 186.59/186.36 [10151]~P1(f862(f862(f321(f931(f925(x101511),f925(x101511))),f862(f862(f244(f925(x101511),f925(x101511)),x101512),x101513)),f140(x101511,x101514)))+P1(f862(f862(f228(a924),f862(f182(f925(x101511)),x101512)),f862(f182(f925(x101511)),x101513)))+P1(f862(f862(f321(f931(x101511,x101511)),f862(f862(f244(x101511,x101511),f862(f862(f157(x101511),x101512),f666(x101514,x101513,x101512,x101511))),f862(f862(f157(x101511),x101513),f666(x101514,x101513,x101512,x101511)))),x101514)) % 186.59/186.36 [10219]~E(f862(f182(f925(x102191)),x102192),f862(f182(f925(x102191)),x102193))+P1(f862(f862(f321(f931(f925(x102191),f925(x102191))),f862(f862(f244(f925(x102191),f925(x102191)),x102192),x102193)),f151(x102191,x102194)))+~P1(f862(f862(f321(f931(x102191,x102191)),f862(f862(f244(x102191,x102191),f862(f862(f157(x102191),x102192),f659(x102194,x102193,x102192,x102191))),f862(f862(f157(x102191),x102193),f659(x102194,x102193,x102192,x102191)))),x102194)) % 186.59/186.36 [10367]~P72(x103671)+~P1(f862(f54(x103672),x103674))+E(f862(f158(x103671),f862(f862(f147(x103672,x103671),x103673),f83(f925(x103672),f862(f862(f20(f925(x103672),a921,a921),f862(f862(f10(a921,f932(a921,a921),f925(x103672)),a318),f862(f862(f9(f925(x103672),f932(x103672,a921),a921),f862(f862(f10(f932(x103672,a921),f932(f932(x103672,a921),a921),f925(x103672)),a317),f165(x103672))),x103674))),f130(x103672))))),f224(x103672,x103671,x103673,x103674)) % 186.59/186.36 [7611]~P64(x76112)+E(x76111,f2(x76112))+E(f862(f862(f282(x76112),f862(f862(f73(x76112),x76113),f862(f862(f74(x76112),x76114),x76111))),x76111),f862(f862(f73(x76112),x76114),f862(f862(f282(x76112),x76113),x76111))) % 186.59/186.36 [7612]~P61(x76122)+E(x76121,f2(x76122))+E(f862(f862(f29(x76122),f862(f862(f73(x76122),x76123),f862(f862(f74(x76122),x76124),x76121))),x76121),f862(f862(f73(x76122),x76124),f862(f862(f29(x76122),x76123),x76121))) % 186.59/186.36 [7613]~P61(x76132)+E(x76131,f2(x76132))+E(f862(f862(f29(x76132),f862(f862(f73(x76132),x76133),f862(f862(f74(x76132),x76131),x76134))),x76131),f862(f862(f73(x76132),x76134),f862(f862(f29(x76132),x76133),x76131))) % 186.59/186.36 [7840]~P65(x78402)+E(x78401,f2(x78402))+E(f862(f862(f282(x78402),f862(f862(f3(x78402),x78403),f862(f862(f74(x78402),x78401),x78404))),x78401),f862(f862(f3(x78402),f862(f862(f282(x78402),x78403),x78401)),x78404)) % 186.59/186.36 [7841]~P64(x78412)+E(x78411,f2(x78412))+E(f862(f862(f282(x78412),f862(f862(f73(x78412),x78413),f862(f862(f74(x78412),x78414),x78411))),x78411),f862(f862(f73(x78412),f862(f862(f282(x78412),x78413),x78411)),x78414)) % 186.59/186.36 [7842]~P65(x78422)+E(x78421,f2(x78422))+E(f862(f862(f282(x78422),f862(f862(f73(x78422),x78423),f862(f862(f74(x78422),x78421),x78424))),x78421),f862(f862(f73(x78422),f862(f862(f282(x78422),x78423),x78421)),x78424)) % 186.59/186.36 [8548]~P1(f862(f153(x85481,x85483),x85484))+~P1(f862(f153(x85481,x85482),x85484))+P1(f862(f153(x85481,f862(f862(f94(f932(x85481,a921)),x85482),x85483)),x85484)) % 186.59/186.36 [8924]~E(f862(f862(f280(x89241,x89241,x89241),x89242),x89244),f181(f932(f931(x89241,x89241),a921)))+~E(f862(f862(f280(x89241,x89241,x89241),x89242),x89243),f181(f932(f931(x89241,x89241),a921)))+E(f862(f862(f280(x89241,x89241,x89241),x89242),f862(f862(f103(f932(f931(x89241,x89241),a921)),x89243),x89244)),f181(f932(f931(x89241,x89241),a921))) % 186.59/186.36 [9052]~P1(f862(f862(f227(f932(x90521,a921)),x90523),x90524))+~P1(f862(f862(f227(f932(x90521,a921)),x90522),x90524))+P1(f862(f862(f227(f932(x90521,a921)),f862(f862(f103(f932(x90521,a921)),x90522),x90523)),x90524)) % 186.59/186.36 [9428]~P1(f862(f54(x94281),x94284))+~P1(f862(f54(x94281),x94283))+E(f862(f862(f3(a924),f862(f862(f73(a924),f862(f862(f8(x94281,a924),x94282),x94283)),f862(f862(f8(x94281,a924),x94282),x94284))),f862(f862(f8(x94281,a924),x94282),f862(f862(f94(f932(x94281,a921)),x94283),x94284))),f862(f862(f8(x94281,a924),x94282),f862(f862(f103(f932(x94281,a921)),x94283),x94284))) % 186.59/186.36 [9518]~P1(f862(f862(f321(x95181),x95183),x95182))+~P1(f862(f862(f227(f932(x95181,a921)),x95182),f862(f862(f301(x95181),x95183),x95184)))+P1(f862(f862(f227(f932(x95181,a921)),f862(f862(f3(f932(x95181,a921)),x95182),f862(f862(f301(x95181),x95183),f181(f932(x95181,a921))))),x95184)) % 186.59/186.36 [9695]~P1(f862(f862(f321(x96951),x96953),x96952))+P1(f862(f862(f227(f932(x96951,a921)),x96952),f862(f862(f301(x96951),x96953),x96954)))+~P1(f862(f862(f227(f932(x96951,a921)),f862(f862(f3(f932(x96951,a921)),x96952),f862(f862(f301(x96951),x96953),f181(f932(x96951,a921))))),x96954)) % 186.59/186.36 [9784]~P1(f862(f862(f227(a924),x97841),x97843))+~P1(f862(f862(f228(a924),x97842),x97844))+P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),f862(f862(f244(a924,a924),x97841),x97842)),f862(f862(f244(a924,a924),x97843),x97844))),a26)) % 186.59/186.36 [9785]~P1(f862(f862(f227(a924),x97852),x97854))+~P1(f862(f862(f227(a924),x97851),x97853))+P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),f862(f862(f244(a924,a924),x97851),x97852)),f862(f862(f244(a924,a924),x97853),x97854))),a64)) % 186.59/186.36 [10078]~P1(f862(f862(f321(f925(x100781)),x100784),f154(x100781,x100783)))+~P1(f862(f862(f321(f925(x100781)),x100784),f154(x100781,x100782)))+P1(f862(f153(x100781,f862(f862(f94(f932(x100781,a921)),f862(f862(f9(x100781,f932(x100781,a921),a921),f321(x100781)),x100782)),f862(f862(f9(x100781,f932(x100781,a921),a921),f321(x100781)),x100783))),x100784)) % 186.59/186.36 [10184]~P22(x101841,f932(f932(x101841,a921),a921),f862(f862(f9(x101841,f932(f931(x101841,x101841),a921),f932(f932(x101841,a921),a921)),f862(f862(f10(f932(x101841,a921),f932(f932(f931(x101841,x101841),a921),f932(f932(x101841,a921),a921)),x101841),f53(x101841)),f862(f862(f9(x101841,f932(x101841,a921),f932(x101841,a921)),f301(x101841)),f181(f932(x101841,a921))))),x101843),x101842)+~P1(f862(f862(f321(x101841),x101844),x101842))+E(f862(f862(f3(f932(f932(x101841,a921),a921)),f862(f862(f53(x101841),x101842),x101843)),f862(f862(f53(x101841),f862(f862(f301(x101841),x101844),f181(f932(x101841,a921)))),x101843)),f862(f862(f53(x101841),f862(f862(f3(f932(x101841,a921)),x101842),f862(f862(f301(x101841),x101844),f181(f932(x101841,a921))))),x101843)) % 186.59/186.36 [10323]~P50(x103231,x103232,x103234)+~P1(f862(f862(f321(f931(x103231,x103231)),x103233),x103234))+P1(f862(f862(f249(x103231,x103231,a921),f862(f862(f9(x103231,f932(x103231,a921),f932(x103231,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x103231,a921),f932(x103231,a921)),x103231),f10(a921,a921,x103231)),f862(f862(f10(a921,f932(a921,a921),x103231),a318),f862(f862(f9(x103231,f932(x103231,a921),a921),f321(x103231)),x103232)))),f862(f862(f9(x103231,f932(x103231,a921),a921),f321(x103231)),x103232))),x103233)) % 186.59/186.36 [10335]P1(f862(f54(x103351),x103352))+~P1(f862(f54(x103353),f862(f302(x103351,x103353,x103354),x103352)))+~P1(f862(f54(x103351),f862(f254(x103351),f862(f862(f20(x103351,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103351),a318),f862(f862(f9(x103351,f932(x103351,a921),a921),f321(x103351)),x103352))),f862(f862(f9(x103351,x103353,a921),f862(f862(f10(x103353,f932(x103353,a921),x103351),a317),x103354)),f862(x103354,f581(x103354,x103353,x103352,x103351))))))) % 186.59/186.36 [8301]~P65(x83012)+E(x83011,f2(x83012))+E(f862(f862(f282(x83012),f862(f862(f3(x83012),f862(f862(f74(x83012),x83011),x83013)),x83014)),x83011),f862(f862(f3(x83012),x83013),f862(f862(f282(x83012),x83014),x83011))) % 186.59/186.36 [8302]~P65(x83022)+E(x83021,f2(x83022))+E(f862(f862(f282(x83022),f862(f862(f73(x83022),f862(f862(f74(x83022),x83021),x83023)),x83024)),x83021),f862(f862(f73(x83022),x83023),f862(f862(f282(x83022),x83024),x83021))) % 186.59/186.36 [9212]~E(f862(f862(f280(x92121,x92121,x92121),x92123),x92124),f181(f932(f931(x92121,x92121),a921)))+~E(f862(f862(f280(x92121,x92121,x92121),x92122),x92124),f181(f932(f931(x92121,x92121),a921)))+E(f862(f862(f280(x92121,x92121,x92121),f862(f862(f103(f932(f931(x92121,x92121),a921)),x92122),x92123)),x92124),f181(f932(f931(x92121,x92121),a921))) % 186.59/186.36 [9994]~P1(f862(f153(x99941,x99943),x99944))+~P1(f862(f153(x99941,x99942),x99944))+P1(f862(f153(x99941,f862(f862(f20(x99941,a921,a921),f862(f862(f10(a921,f932(a921,a921),x99941),a318),x99942)),x99943)),x99944)) % 186.59/186.36 [10259]P1(f862(x102591,f511(x102592,x102593,x102591,x102594)))+~P1(f862(f54(x102594),f862(f254(x102594),x102591)))+P1(f862(f54(x102593),f862(f254(x102593),f862(f862(f10(f932(x102594,a921),a921,x102593),f80(x102594)),f862(f862(f10(f932(x102594,a921),f932(x102594,a921),x102593),f862(f20(x102594,a921,a921),f862(f862(f10(a921,f932(a921,a921),x102594),a318),x102591))),x102592))))) % 186.59/186.36 [10277]~P1(f862(f54(x102772),f862(f254(x102772),x102773)))+~P1(f862(f54(x102771),f862(f254(x102771),f862(f862(f9(x102771,x102772,a921),x102774),f511(x102774,x102771,x102773,x102772)))))+P1(f862(f54(x102771),f862(f254(x102771),f862(f862(f10(f932(x102772,a921),a921,x102771),f80(x102772)),f862(f862(f10(f932(x102772,a921),f932(x102772,a921),x102771),f862(f20(x102772,a921,a921),f862(f862(f10(a921,f932(a921,a921),x102772),a318),x102773))),x102774))))) % 186.59/186.36 [10346]~P1(f862(f54(x103461),x103464))+P1(f862(f862(f321(x103461),f799(x103462,x103463,x103464,x103461)),x103464))+P1(f862(f54(x103463),f862(f254(x103463),f862(f862(f10(f932(x103461,a921),a921,x103463),f80(x103461)),f862(f862(f10(f932(x103461,a921),f932(x103461,a921),x103463),f862(f20(x103461,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103461),a318),f862(f862(f9(x103461,f932(x103461,a921),a921),f321(x103461)),x103464)))),x103462))))) % 186.59/186.36 [10352]~P1(f862(f54(x103522),x103523))+~P1(f862(f54(x103521),f862(f254(x103521),f862(f862(f9(x103521,x103522,a921),x103524),f799(x103524,x103521,x103523,x103522)))))+P1(f862(f54(x103521),f862(f254(x103521),f862(f862(f10(f932(x103522,a921),a921,x103521),f80(x103522)),f862(f862(f10(f932(x103522,a921),f932(x103522,a921),x103521),f862(f20(x103522,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103522),a318),f862(f862(f9(x103522,f932(x103522,a921),a921),f321(x103522)),x103523)))),x103524))))) % 186.59/186.36 [5209]~E(x52092,x52094)+E(f162(x52091,x52092,x52093),f162(x52091,x52094,x52095))+~E(x52092,f2(a924)) % 186.59/186.36 [5458]E(x54581,x54582)+~E(f162(x54584,x54583,x54581),f162(x54584,x54585,x54582))+E(x54583,f2(a924)) % 186.59/186.36 [6738]E(x67381,x67382)+~E(f862(x67383,x67381),f862(x67383,x67382))+~P22(x67384,x67385,x67383,f234(f932(x67384,a921))) % 186.59/186.36 [7643]E(x76431,x76432)+~P22(x76433,x76434,x76435,f234(f932(x76433,a921)))+~E(f862(f302(x76433,x76434,x76435),x76431),f862(f302(x76433,x76434,x76435),x76432)) % 186.59/186.36 [7895]P22(x78952,x78953,f535(x78954,x78953,x78952,x78951),x78951)+~E(f862(f302(x78953,x78952,x78955),x78954),x78951)+E(x78951,f181(f932(x78952,a921))) % 186.59/186.36 [8432]~P1(f862(f862(x84323,x84322),x84325))+~P1(f862(f862(x84323,x84324),x84322))+P1(f862(f862(f321(x84321),x84322),f281(x84321,x84323,x84324,x84325))) % 186.59/186.36 [8433]~P1(f862(f862(x84333,x84332),x84335))+~P1(f862(f862(x84333,x84334),x84332))+P1(f862(f862(f321(x84331),x84332),f290(x84331,x84333,x84334,x84335))) % 186.59/186.36 [8739]~P22(x87391,x87392,x87393,x87394)+P23(x87391,x87392,x87393,x87394,x87395)+~E(f862(f302(x87391,x87392,x87393),x87394),x87395) % 186.59/186.36 [8873]~P23(x88731,x88733,x88734,x88732,x88735)+~P1(f862(f54(x88733),x88735))+P1(f862(f54(x88731),x88732)) % 186.59/186.36 [8874]~P23(x88743,x88741,x88744,x88745,x88742)+~P1(f862(f54(x88743),x88745))+P1(f862(f54(x88741),x88742)) % 186.59/186.36 [9007]~P22(x90071,x90073,x90075,f234(f932(x90071,a921)))+~P22(x90073,x90072,x90074,f234(f932(x90073,a921)))+P22(x90071,x90072,f862(f66(x90073,x90072,x90071,x90074),x90075),f234(f932(x90071,a921))) % 186.59/186.36 [9580]P1(f862(f862(f321(f931(x95801,x95801)),f862(f862(f244(x95801,x95801),x95802),x95803)),f299(x95801,x95804)))+~P1(f862(f862(f321(f931(x95801,x95801)),f862(f862(f244(x95801,x95801),x95802),x95805)),f299(x95801,x95804)))+~P1(f862(f862(f321(f931(x95801,x95801)),f862(f862(f244(x95801,x95801),x95805),x95803)),f299(x95801,x95804))) % 186.59/186.36 [9620]~P109(x96202)+~P1(f862(f130(x96201),x96205))+P1(f862(f130(x96201),f142(x96201,x96202,x96203,x96204,x96205))) % 186.59/186.36 [5534]~E(x55342,f106(x55341))+E(f862(f862(f127(x55341),x55342),x55343),f862(f862(f144(x55341),x55344),x55345))+~E(x55343,f862(f862(f144(x55341),x55344),x55345)) % 186.59/186.36 [5535]~E(x55352,f106(x55351))+E(f862(f862(f127(x55351),x55352),x55353),f862(f862(f144(x55351),x55354),x55355))+~E(f862(f862(f144(x55351),x55354),x55355),x55353) % 186.59/186.36 [6693]~E(f862(f182(f925(x66931)),x66935),f862(f182(f925(x66932)),x66934))+E(f862(f862(f147(f931(x66931,x66932),x66932),f248(x66931,x66932)),x66933),x66934)+~E(f862(f862(f174(x66931,x66932),x66935),x66934),x66933) % 186.59/186.36 [6694]~E(f862(f182(f925(x66941)),x66944),f862(f182(f925(x66942)),x66945))+E(f862(f862(f147(f931(x66941,x66942),x66941),f243(x66941,x66942)),x66943),x66944)+~E(f862(f862(f174(x66941,x66942),x66944),x66945),x66943) % 186.59/186.36 [7178]~P109(x71781)+~P11(x71781,f862(f862(f147(x71782,x71781),x71783),x71785))+P11(x71781,f862(f862(f147(x71782,x71781),x71783),f862(f129(x71782,x71784),x71785))) % 186.59/186.36 [7321]~P109(x73211)+P11(x73211,f862(f862(f147(x73212,x73211),x73213),f163(x73212,x73214,x73215)))+~P11(x73211,f862(f862(f147(x73212,x73211),x73213),x73215)) % 186.59/186.36 [7344]~P52(x73443,x73442,x73445)+~P52(x73441,x73443,x73444)+P52(x73441,x73442,f862(f862(f280(x73441,x73443,x73442),x73444),x73445)) % 186.59/186.36 [7441]E(x74411,x74412)+~P22(x74413,x74414,x74415,f234(f932(x74413,a921)))+~E(f862(f862(f147(x74413,x74414),x74415),x74411),f862(f862(f147(x74413,x74414),x74415),x74412)) % 186.59/186.36 [7598]~P1(f862(f862(f227(a924),x75981),f862(x75983,x75985)))+P1(f862(f862(f227(a924),x75981),f148(x75982,x75983,x75984)))+~P1(f862(f862(f321(x75982),x75985),f862(f165(x75982),x75984))) % 186.59/186.36 [7599]~P1(f862(f862(f228(a924),x75991),f862(x75993,x75995)))+P1(f862(f862(f228(a924),x75991),f148(x75992,x75993,x75994)))+~P1(f862(f862(f321(x75992),x75995),f862(f165(x75992),x75994))) % 186.59/186.36 [7991]P1(f862(x79911,x79912))+~P1(f862(x79911,x79913))+~P1(f862(f862(f321(x79914),x79912),f862(f165(x79914),f162(x79914,x79915,x79913)))) % 186.59/186.36 [7992]P1(f862(x79921,x79922))+~P1(f862(x79921,x79923))+~P1(f862(f862(f321(x79924),x79923),f862(f165(x79924),f162(x79924,x79925,x79922)))) % 186.59/186.36 [7996]~P110(x79961)+P1(f862(f862(f227(f932(x79961,a921)),f296(x79961,x79962,x79963)),f296(x79961,x79964,x79965)))+P1(f862(f862(f227(x79961),x79962),x79963)) % 186.59/186.36 [8018]~P3(x80181)+P1(f862(f862(f227(x80181),f862(f862(f32(x80182,x80181),x80183),x80184)),f862(x80184,x80185)))+~P1(f862(f862(f321(x80182),x80185),x80183)) % 186.59/186.36 [8087]~P22(x80871,x80872,x80874,x80873)+E(f862(f70(x80871,x80872,x80873,x80874),f862(x80874,x80875)),x80875)+~P1(f862(f862(f321(x80871),x80875),x80873)) % 186.59/186.36 [8088]~P22(x80881,x80882,x80884,x80883)+E(f862(f86(x80881,x80882,x80883,x80884),f862(x80884,x80885)),x80885)+~P1(f862(f862(f321(x80881),x80885),x80883)) % 186.59/186.36 [8290]~P1(f862(x82901,x82905))+P1(f862(x82901,f628(x82901,x82902,x82903,x82904)))+~P1(f862(f862(f321(x82904),x82905),x82903)) % 186.59/186.36 [8291]~P1(f862(x82911,x82915))+P1(f862(x82911,f628(x82911,x82912,x82913,x82914)))+~P1(f862(f862(f321(x82914),x82915),x82912)) % 186.59/186.36 [8386]P1(f862(f54(x83861),x83862))+~P1(f862(f54(x83863),x83864))+~P1(f862(f862(f227(f932(x83861,a921)),x83862),f862(f302(x83863,x83861,x83865),x83864))) % 186.59/186.36 [8552]E(x85521,x85522)+~P22(x85523,x85524,x85525,f862(f862(f103(f932(x85523,a921)),f862(f165(x85523),x85521)),f862(f165(x85523),x85522)))+~E(f862(f862(f147(x85523,x85524),x85525),x85521),f862(f862(f147(x85523,x85524),x85525),x85522)) % 186.59/186.36 [8606]~P110(x86061)+~P1(f862(f862(f228(f932(x86061,a921)),f296(x86061,x86064,x86065)),f296(x86061,x86062,x86063)))+P1(f862(f862(f227(x86061),x86062),x86063)) % 186.59/186.36 [8668]~P22(x86681,x86684,x86685,f234(f932(x86681,a921)))+~P1(f862(f862(f321(x86684),f862(x86685,x86682)),f862(f302(x86681,x86684,x86685),x86683)))+P1(f862(f862(f321(x86681),x86682),x86683)) % 186.59/186.36 [8745]P1(f862(x87451,x87452))+~P1(f862(x87451,f591(x87451,x87453,x87454,x87455)))+~P1(f862(f862(f321(x87455),x87452),x87454)) % 186.59/186.36 [8746]P1(f862(x87461,x87462))+~P1(f862(x87461,f591(x87461,x87463,x87464,x87465)))+~P1(f862(f862(f321(x87465),x87462),x87463)) % 186.59/186.36 [9049]~P22(x90492,x90493,x90491,x90494)+E(f862(x90491,f862(f70(x90492,x90493,x90494,x90491),x90495)),x90495)+~P1(f862(f862(f321(x90493),x90495),f862(f302(x90492,x90493,x90491),x90494))) % 186.59/186.36 [9152]E(x91521,f106(x91522))+E(f862(f862(f144(x91522),x91523),f686(x91524,x91523,x91525,x91521,x91522)),x91521)+~E(f862(f862(f127(x91522),x91521),x91525),f862(f862(f144(x91522),x91523),x91524)) % 186.59/186.36 [9153]E(x91531,f106(x91532))+E(f862(f862(f144(x91532),x91533),f687(x91534,x91531,x91535,x91533,x91532)),x91531)+~E(f862(f862(f127(x91532),x91531),x91534),f862(f862(f144(x91532),x91533),x91535)) % 186.59/186.36 [9171]E(f862(f862(f144(x91712),x91713),f686(x91714,x91713,x91711,x91715,x91712)),x91715)+~E(f862(f862(f127(x91712),x91715),x91711),f862(f862(f144(x91712),x91713),x91714))+E(x91711,f862(f862(f144(x91712),x91713),x91714)) % 186.59/186.36 [9172]E(f862(f862(f144(x91721),x91722),f687(x91724,x91725,x91723,x91722,x91721)),x91725)+~E(f862(f862(f127(x91721),x91725),x91724),f862(f862(f144(x91721),x91722),x91723))+E(f862(f862(f144(x91721),x91722),x91723),x91724) % 186.59/186.36 [9248]~E(f862(f302(x92483,x92482,x92484),f234(f932(x92483,a921))),f234(f932(x92482,a921)))+~E(f862(f302(x92481,x92483,x92485),f234(f932(x92481,a921))),f234(f932(x92483,a921)))+E(f862(f302(x92481,x92482,f862(f66(x92483,x92482,x92481,x92484),x92485)),f234(f932(x92481,a921))),f234(f932(x92482,a921))) % 186.59/186.36 [9626]E(x96261,f106(x96262))+~E(f862(f862(f127(x96262),x96261),x96263),f862(f862(f144(x96262),x96265),x96264))+E(f862(f862(f127(x96262),f687(x96263,x96261,x96264,x96265,x96262)),x96263),x96264) % 186.59/186.36 [9627]E(x96271,f106(x96272))+~E(f862(f862(f127(x96272),x96271),x96275),f862(f862(f144(x96272),x96274),x96273))+E(f862(f862(f127(x96272),f686(x96273,x96274,x96275,x96271,x96272)),x96275),x96273) % 186.59/186.36 [9634]E(f862(f862(f127(x96342),f686(x96344,x96343,x96341,x96345,x96342)),x96341),x96344)+~E(f862(f862(f127(x96342),x96345),x96341),f862(f862(f144(x96342),x96343),x96344))+E(x96341,f862(f862(f144(x96342),x96343),x96344)) % 186.59/186.36 [9635]~E(f862(f862(f127(x96351),x96355),x96354),f862(f862(f144(x96351),x96352),x96353))+E(f862(f862(f127(x96351),f687(x96354,x96355,x96353,x96352,x96351)),x96354),x96353)+E(f862(f862(f144(x96351),x96352),x96353),x96354) % 186.59/186.36 [9636]E(f862(f862(f127(x96361),x96365),f689(x96363,x96362,x96364,x96365,x96361)),x96362)+E(f862(f862(f127(x96361),x96362),f688(x96363,x96362,x96364,x96365,x96361)),x96365)+~E(f862(f862(f127(x96361),x96365),x96364),f862(f862(f127(x96361),x96362),x96363)) % 186.59/186.36 [9673]~P109(x96731)+P11(x96731,f862(f862(f147(x96732,x96731),x96733),f142(x96732,x96731,x96733,x96734,x96735)))+~P11(x96731,f862(f862(f147(x96732,x96731),x96733),x96735)) % 186.59/186.36 [9690]~P56(x96905,x96901,x96904,x96903)+P1(f862(f862(x96901,x96902),f551(x96903,x96904,x96901,x96905,x96902)))+~P1(f862(f862(f321(x96905),x96902),x96904)) % 186.59/186.36 [9691]~P56(x96915,x96911,x96914,x96913)+P1(f862(f862(x96911,x96912),f805(x96913,x96914,x96911,x96915,x96912)))+~P1(f862(f862(f321(x96915),x96912),x96914)) % 186.59/186.36 [9796]~P1(f862(f862(f321(f931(x97961,x97961)),f862(f862(f244(x97961,x97961),x97965),x97963)),f299(x97961,x97964)))+P1(f862(f862(f321(f931(x97961,x97961)),f862(f862(f244(x97961,x97961),x97962),x97963)),f862(f862(f280(x97961,x97961,x97961),x97964),f299(x97961,x97964))))+~P1(f862(f862(f321(f931(x97961,x97961)),f862(f862(f244(x97961,x97961),x97962),x97965)),f862(f862(f280(x97961,x97961,x97961),x97964),f299(x97961,x97964)))) % 186.59/186.36 [9797]~P1(f862(f862(f321(f931(x97971,x97971)),f862(f862(f244(x97971,x97971),x97972),x97975)),f299(x97971,x97974)))+P1(f862(f862(f321(f931(x97971,x97971)),f862(f862(f244(x97971,x97971),x97972),x97973)),f862(f862(f280(x97971,x97971,x97971),x97974),f299(x97971,x97974))))+~P1(f862(f862(f321(f931(x97971,x97971)),f862(f862(f244(x97971,x97971),x97975),x97973)),f862(f862(f280(x97971,x97971,x97971),x97974),f299(x97971,x97974)))) % 186.59/186.36 [9799]P1(f862(f862(f321(f931(f925(x97991),f925(x97991))),f862(f862(f244(f925(x97991),f925(x97991)),x97992),x97993)),f151(x97991,f299(x97991,x97994))))+~P1(f862(f862(f321(f931(f925(x97991),f925(x97991))),f862(f862(f244(f925(x97991),f925(x97991)),x97992),x97995)),f151(x97991,f299(x97991,x97994))))+~P1(f862(f862(f321(f931(f925(x97991),f925(x97991))),f862(f862(f244(f925(x97991),f925(x97991)),x97995),x97993)),f151(x97991,f299(x97991,x97994)))) % 186.59/186.36 [9803]E(f862(f862(f127(x98031),x98032),f688(x98033,x98032,x98034,x98035,x98031)),x98035)+E(f862(f862(f127(x98031),f689(x98033,x98032,x98034,x98035,x98031)),x98033),x98034)+~E(f862(f862(f127(x98031),x98032),x98033),f862(f862(f127(x98031),x98035),x98034)) % 186.59/186.36 [9804]E(f862(f862(f127(x98041),x98042),f689(x98043,x98044,x98045,x98042,x98041)),x98044)+E(f862(f862(f127(x98041),f688(x98043,x98044,x98045,x98042,x98041)),x98045),x98043)+~E(f862(f862(f127(x98041),x98042),x98045),f862(f862(f127(x98041),x98044),x98043)) % 186.59/186.36 [9858]P1(f862(f862(f321(f931(x98581,x98581)),f862(f862(f244(x98581,x98581),x98582),x98583)),f862(f862(f280(x98581,x98581,x98581),x98584),f299(x98581,x98584))))+~P1(f862(f862(f321(f931(x98581,x98581)),f862(f862(f244(x98581,x98581),x98582),x98585)),f862(f862(f280(x98581,x98581,x98581),x98584),f299(x98581,x98584))))+~P1(f862(f862(f321(f931(x98581,x98581)),f862(f862(f244(x98581,x98581),x98585),x98583)),f862(f862(f280(x98581,x98581,x98581),x98584),f299(x98581,x98584)))) % 186.59/186.36 [9885]P32(x98851,x98852,x98853,x98854,x98855)+~E(f862(f182(f925(x98851)),x98854),f862(f182(f925(x98852)),x98855))+~P1(f862(f862(f249(x98851,x98852,a921),x98853),f706(x98855,x98854,x98853,x98852,x98851))) % 186.59/186.36 [9886]P32(x98861,x98862,x98863,x98864,x98865)+~E(f862(f182(f925(x98861)),x98864),f862(f182(f925(x98862)),x98865))+~P1(f862(f862(f249(x98861,x98862,a921),x98863),f707(x98863,x98865,x98864,x98862,x98861))) % 186.59/186.36 [9891]E(f862(f862(f127(x98911),f688(x98912,x98913,x98914,x98915,x98911)),x98914),x98912)+~E(f862(f862(f127(x98911),x98913),x98912),f862(f862(f127(x98911),x98915),x98914))+E(f862(f862(f127(x98911),f689(x98912,x98913,x98914,x98915,x98911)),x98912),x98914) % 186.59/186.36 [9907]~P109(x99072)+E(f862(f862(f141(x99071,x99072,x99073),x99074),x99075),f862(f862(f144(x99071),x99074),x99075))+P1(f862(f862(f321(x99071),f751(x99074,x99073,x99075,x99071,x99072)),f862(f165(x99071),x99075))) % 186.59/186.36 [9911]~P56(x99111,x99114,x99113,x99112)+~P1(f862(f862(f321(x99111),x99115),x99113))+P1(f862(f862(f321(x99111),f551(x99112,x99113,x99114,x99111,x99115)),x99112)) % 186.59/186.36 [9912]~P56(x99121,x99124,x99123,x99122)+~P1(f862(f862(f321(x99121),x99125),x99123))+P1(f862(f862(f321(x99121),f805(x99122,x99123,x99124,x99121,x99125)),x99122)) % 186.59/186.36 [10028]~P1(f862(f862(f321(f931(f932(x100281,a921),f932(x100281,a921))),f862(f862(f244(f932(x100281,a921),f932(x100281,a921)),x100284),x100283)),f310(x100281,x100282)))+~P1(f862(f862(f321(x100281),x100285),x100284))+P1(f862(f862(f321(x100281),f616(x100282,x100283,x100284,x100281,x100285)),x100283)) % 186.59/186.36 [10038]~P109(x100382)+E(f862(f862(f141(x100381,x100382,x100383),x100384),x100385),f862(f862(f144(x100381),x100384),x100385))+~P1(f862(f862(f227(x100382),f862(x100383,x100384)),f862(x100383,f751(x100384,x100383,x100385,x100381,x100382)))) % 186.59/186.36 [10087]~P22(x100873,x100874,x100875,f234(f932(x100873,a921)))+P1(f862(x100871,x100872))+~P1(f862(x100871,f862(f86(x100873,x100874,f234(f932(x100873,a921)),x100875),f817(x100872,x100871,x100875,x100874,x100873)))) % 186.59/186.36 [10236]P32(x102361,x102362,x102363,x102364,x102365)+~E(f862(f182(f925(x102361)),x102364),f862(f182(f925(x102362)),x102365))+~P1(f862(f862(x102363,f862(f862(f157(x102361),x102364),f708(x102365,x102364,x102363,x102362,x102361))),f862(f862(f157(x102362),x102365),f708(x102365,x102364,x102363,x102362,x102361)))) % 186.59/186.36 [10237]P32(x102371,x102372,x102373,x102374,x102375)+~E(f862(f182(f925(x102371)),x102374),f862(f182(f925(x102372)),x102375))+~P1(f862(f862(x102373,f862(f862(f157(x102371),x102374),f742(x102373,x102375,x102372,x102374,x102371))),f862(f862(f157(x102372),x102375),f742(x102373,x102375,x102372,x102374,x102371)))) % 186.59/186.36 [6769]~P15(x67692,x67695,x67691)+~P1(f862(f54(x67692),x67694))+E(f862(x67691,f862(f862(f301(x67692),x67693),x67694)),f862(f862(f57(x67692,x67692,x67695),x67693),x67694)) % 186.59/186.36 [6770]~E(x67703,x67704)+~E(x67702,x67705)+E(f862(f862(f301(x67701),x67702),f862(f862(f301(x67701),x67703),f181(f932(x67701,a921)))),f862(f862(f301(x67701),x67704),f862(f862(f301(x67701),x67705),f181(f932(x67701,a921))))) % 186.59/186.36 [6781]P1(f862(x67812,x67815))+E(f170(x67811,x67812,f862(f862(f127(x67811),x67813),x67814)),f170(x67811,x67812,x67813))+~P1(f862(f862(f321(x67811),x67815),f862(f165(x67811),x67813))) % 186.59/186.36 [6819]E(f862(x68191,x68192),f181(f932(x68193,a921)))+~E(f862(f862(f33(x68194,f932(x68193,a921)),x68195),x68191),f181(f932(x68193,a921)))+~P1(f862(f862(f321(x68194),x68192),x68195)) % 186.59/186.36 [6820]E(f862(x68201,x68202),f234(f932(x68203,a921)))+~E(f862(f862(f32(x68204,f932(x68203,a921)),x68205),x68201),f234(f932(x68203,a921)))+~P1(f862(f862(f321(x68204),x68202),x68205)) % 186.59/186.36 [7331]~E(x73312,x73314)+~P144(x73311)+E(f862(f862(f73(x73311),f862(f862(f74(x73311),x73312),x73313)),f862(f862(f74(x73311),x73314),x73315)),f862(f862(f73(x73311),f862(f862(f74(x73311),x73312),x73315)),f862(f862(f74(x73311),x73314),x73313))) % 186.59/186.36 [7393]~P3(x73931)+~P1(f862(f862(f321(x73934),x73933),x73935))+P1(f862(f862(f227(x73931),f862(x73932,x73933)),f862(f862(f33(x73934,x73931),x73935),x73932))) % 186.59/186.36 [7447]~P108(x74471)+P1(f862(f862(f227(x74471),f862(x74472,x74473)),f862(x74474,x74473)))+~P1(f862(f862(f227(f932(x74475,x74471)),x74472),x74474)) % 186.59/186.36 [7568]E(x75681,x75682)+E(x75683,x75681)+~E(f862(f862(f301(x75684),x75681),f862(f862(f301(x75684),x75685),f181(f932(x75684,a921)))),f862(f862(f301(x75684),x75682),f862(f862(f301(x75684),x75683),f181(f932(x75684,a921))))) % 186.59/186.36 [7569]E(x75691,x75692)+E(x75693,x75691)+~E(f862(f862(f301(x75694),x75693),f862(f862(f301(x75694),x75692),f181(f932(x75694,a921)))),f862(f862(f301(x75694),x75695),f862(f862(f301(x75694),x75691),f181(f932(x75694,a921))))) % 186.59/186.36 [7570]E(x75701,x75702)+E(x75701,x75703)+~E(f862(f862(f301(x75704),x75703),f862(f862(f301(x75704),x75702),f181(f932(x75704,a921)))),f862(f862(f301(x75704),x75705),f862(f862(f301(x75704),x75701),f181(f932(x75704,a921))))) % 186.59/186.36 [7571]E(x75711,x75712)+E(x75711,x75713)+~E(f862(f862(f301(x75714),x75711),f862(f862(f301(x75714),x75715),f181(f932(x75714,a921)))),f862(f862(f301(x75714),x75712),f862(f862(f301(x75714),x75713),f181(f932(x75714,a921))))) % 186.59/186.36 [8098]P22(x80981,x80982,x80983,x80984)+~P22(x80981,x80982,x80983,x80985)+~P1(f862(f862(f227(f932(x80981,a921)),x80984),x80985)) % 186.59/186.36 [8128]~E(f862(x81283,x81285),x81284)+~P22(x81281,x81282,x81283,f234(f932(x81281,a921)))+E(f862(f86(x81281,x81282,f234(f932(x81281,a921)),x81283),x81284),x81285) % 186.59/186.36 [8277]E(x82771,x82772)+~E(f862(f302(x82773,x82774,x82775),x82771),f862(f302(x82773,x82774,x82775),x82772))+~P22(x82773,x82774,x82775,f862(f862(f103(f932(x82773,a921)),x82771),x82772)) % 186.59/186.36 [8355]P1(f862(x83552,x83554))+E(f862(f862(f131(x83551),f862(f182(f925(x83551)),f170(x83551,x83552,x83553))),x83553),f862(f862(f144(x83551),x83554),x83555))+~E(f862(f862(f127(x83551),f170(x83551,x83552,x83553)),f862(f862(f144(x83551),x83554),x83555)),x83553) % 186.59/186.36 [8384]~P22(x83841,x83842,x83843,x83845)+~P22(x83841,x83842,x83843,x83844)+P22(x83841,x83842,x83843,f862(f862(f94(f932(x83841,a921)),x83844),x83845)) % 186.59/186.36 [8491]~P72(x84911)+E(f862(f862(f73(x84911),f862(x84912,x84913)),f862(f158(x84911),f862(f862(f147(x84914,x84911),x84912),f163(x84914,x84913,x84915)))),f862(f158(x84911),f862(f862(f147(x84914,x84911),x84912),x84915)))+~P1(f862(f862(f321(x84914),x84913),f862(f165(x84914),x84915))) % 186.59/186.36 [8578]~P109(x85781)+~P11(x85781,f862(f862(f147(x85782,x85781),x85783),x85785))+P11(x85781,f862(f862(f147(x85782,x85781),x85783),f862(f862(f141(x85782,x85781,x85783),x85784),x85785))) % 186.59/186.36 [8664]~P3(x86641)+P1(f862(f862(f227(x86641),f862(f862(f32(x86642,x86641),x86643),x86644)),f862(f862(f32(x86642,x86641),x86645),x86644)))+~P1(f862(f862(f227(f932(x86642,a921)),x86645),x86643)) % 186.59/186.36 [8665]~P3(x86651)+P1(f862(f862(f227(x86651),f862(f862(f33(x86652,x86651),x86653),x86654)),f862(f862(f33(x86652,x86651),x86655),x86654)))+~P1(f862(f862(f227(f932(x86652,a921)),x86653),x86655)) % 186.59/186.36 [8699]~P109(x86993)+P1(f862(f130(x86991),x86992))+~P1(f862(f130(x86991),f862(f862(f141(x86991,x86993,x86994),x86995),x86992))) % 186.59/186.36 [8845]~P109(x88451)+~P1(f862(f862(f321(x88452),x88453),f862(f165(x88452),x88454)))+~P1(f862(f130(x88452),f862(f862(f141(x88452,x88451,x88455),x88453),x88454))) % 186.59/186.36 [8936]~P109(x89361)+P11(x89361,f862(f862(f147(x89362,x89361),x89363),x89364))+~P11(x89361,f862(f862(f147(x89362,x89361),x89363),f862(f862(f141(x89362,x89361,x89363),x89365),x89364))) % 186.59/186.36 [8982]~P22(x89822,x89821,x89824,x89823)+E(f862(f302(x89821,x89822,f86(x89822,x89821,x89823,x89824)),f862(f302(x89822,x89821,x89824),x89825)),x89825)+~P1(f862(f862(f227(f932(x89822,a921)),x89825),x89823)) % 186.59/186.36 [9037]~P109(x90372)+E(f862(f862(f141(x90371,x90372,x90373),x90374),x90375),f142(x90371,x90372,x90373,x90374,x90375))+P1(f862(f862(f321(x90372),f862(x90373,x90374)),f862(f302(x90371,x90372,x90373),f862(f165(x90371),x90375)))) % 186.59/186.36 [9118]~P109(x91182)+E(f142(x91181,x91182,x91183,x91184,x91185),x91185)+~P1(f862(f862(f321(x91182),f862(x91183,x91184)),f862(f302(x91181,x91182,x91183),f862(f165(x91181),x91185)))) % 186.59/186.36 [9132]~P22(x91322,x91321,x91323,x91325)+P1(f862(f862(f228(f932(x91321,a921)),f862(f302(x91322,x91321,x91323),x91324)),f862(f302(x91322,x91321,x91323),x91325)))+~P1(f862(f862(f228(f932(x91322,a921)),x91324),x91325)) % 186.59/186.36 [9290]~P22(x92901,x92902,x92903,f234(f932(x92901,a921)))+~P1(f862(f862(f227(f932(x92902,a921)),x92904),f862(f302(x92901,x92902,x92903),x92905)))+P1(f862(f862(f227(f932(x92901,a921)),f862(f303(x92901,x92902,x92903),x92904)),x92905)) % 186.59/186.36 [9313]~E(f862(f302(x93133,x93131,x93134),f234(f932(x93133,a921))),f234(f932(x93131,a921)))+P1(f862(f862(f227(f932(x93131,a921)),x93132),f862(f302(x93133,x93131,x93134),x93135)))+~P1(f862(f862(f227(f932(x93133,a921)),f862(f303(x93133,x93131,x93134),x93132)),x93135)) % 186.59/186.36 [9420]~P22(x94201,x94204,x94205,f234(f932(x94201,a921)))+~P1(f862(f862(f227(f932(x94204,a921)),f862(f302(x94201,x94204,x94205),x94202)),f862(f302(x94201,x94204,x94205),x94203)))+P1(f862(f862(f227(f932(x94201,a921)),x94202),x94203)) % 186.59/186.36 [9546]~P81(x95461)+~E(f862(x95463,f726(x95463,x95464,x95465,x95462,x95461)),f2(x95461))+E(f862(f158(x95461),f862(f862(f147(x95462,x95461),x95463),f862(f129(x95462,x95464),x95465))),f862(f158(x95461),f862(f862(f147(x95462,x95461),x95463),x95465))) % 186.59/186.36 [9575]~P23(x95751,x95752,x95753,f234(f932(x95751,a921)),f234(f932(x95752,a921)))+~P1(f862(f862(f227(f932(x95752,a921)),x95754),f862(f302(x95751,x95752,x95753),x95755)))+P1(f862(f862(f227(f932(x95751,a921)),f862(f303(x95751,x95752,x95753),x95754)),x95755)) % 186.59/186.36 [9604]~P23(x96043,x96041,x96044,f234(f932(x96043,a921)),f234(f932(x96041,a921)))+P1(f862(f862(f227(f932(x96041,a921)),x96042),f862(f302(x96043,x96041,x96044),x96045)))+~P1(f862(f862(f227(f932(x96043,a921)),f862(f303(x96043,x96041,x96044),x96042)),x96045)) % 186.59/186.36 [9737]~P14(x97371,x97372,x97373)+~P1(f862(f54(x97371),x97375))+P1(f862(f59(x97371,x97372,x97373,x97374,x97375),f862(f862(f57(x97371,x97372,x97373),x97374),x97375))) % 186.59/186.36 [9816]~P23(x98162,x98161,x98164,f234(f932(x98162,a921)),f234(f932(x98161,a921)))+~P23(x98161,x98163,x98165,f234(f932(x98161,a921)),f234(f932(x98163,a921)))+E(f862(f66(x98161,x98162,x98163,f86(x98162,x98161,f234(f932(x98162,a921)),x98164)),f86(x98161,x98163,f234(f932(x98161,a921)),x98165)),f86(x98162,x98163,f234(f932(x98162,a921)),f862(f66(x98161,x98163,x98162,x98165),x98164))) % 186.59/186.36 [9817]P1(f862(x98171,f694(x98172,x98171,x98173,x98174,x98175)))+~P1(f862(f862(f227(f932(x98175,a921)),x98174),x98173))+P1(f862(f862(f227(f932(x98175,a921)),f862(f862(f94(f932(x98175,a921)),x98174),f862(f254(x98175),x98171))),f862(f862(f94(f932(x98175,a921)),x98173),f862(f254(x98175),x98172)))) % 186.59/186.36 [9831]~P81(x98311)+~P1(f862(x98314,f726(x98313,x98314,x98315,x98312,x98311)))+E(f862(f158(x98311),f862(f862(f147(x98312,x98311),x98313),f862(f129(x98312,x98314),x98315))),f862(f158(x98311),f862(f862(f147(x98312,x98311),x98313),x98315))) % 186.59/186.36 [9909]~P3(x99095)+P1(f862(f862(f321(x99091),f478(x99092,x99093,x99091,x99094,x99095)),x99093))+P1(f862(f862(f227(x99095),x99094),f862(f862(f32(x99091,x99095),x99093),x99092))) % 186.59/186.36 [9913]~P81(x99131)+E(f862(f158(x99131),f862(f862(f147(x99132,x99131),x99133),f862(f129(x99132,x99134),x99135))),f862(f158(x99131),f862(f862(f147(x99132,x99131),x99133),x99135)))+P1(f862(f862(f321(x99132),f726(x99133,x99134,x99135,x99132,x99131)),f862(f165(x99132),x99135))) % 186.59/186.36 [9923]~P1(f862(x99235,f694(x99235,x99233,x99234,x99232,x99231)))+~P1(f862(f862(f227(f932(x99231,a921)),x99232),x99234))+P1(f862(f862(f227(f932(x99231,a921)),f862(f862(f94(f932(x99231,a921)),x99232),f862(f254(x99231),x99233))),f862(f862(f94(f932(x99231,a921)),x99234),f862(f254(x99231),x99235)))) % 186.59/186.36 [9939]~P22(x99395,x99393,x99394,f234(f932(x99395,a921)))+P1(f862(x99391,x99392))+P1(f862(f862(f321(x99393),f817(x99392,x99391,x99394,x99393,x99395)),f862(f302(x99395,x99393,x99394),f234(f932(x99395,a921))))) % 186.59/186.36 [9962]P32(x99621,x99622,x99623,x99624,x99625)+~E(f862(f182(f925(x99622)),x99625),f862(f182(f925(x99621)),x99624))+P1(f862(f862(f228(a924),f708(x99625,x99624,x99623,x99622,x99621)),f862(f182(f925(x99621)),x99624))) % 186.59/186.36 [9963]P32(x99631,x99632,x99633,x99634,x99635)+~E(f862(f182(f925(x99632)),x99635),f862(f182(f925(x99631)),x99634))+P1(f862(f862(f228(a924),f742(x99633,x99635,x99632,x99634,x99631)),f862(f182(f925(x99631)),x99634))) % 186.59/186.36 [9995]P1(f862(f862(f321(x99951),f694(x99952,x99953,x99954,x99955,x99951)),x99955))+~P1(f862(f862(f227(f932(x99951,a921)),x99955),x99954))+P1(f862(f862(f227(f932(x99951,a921)),f862(f862(f94(f932(x99951,a921)),x99955),f862(f254(x99951),x99953))),f862(f862(f94(f932(x99951,a921)),x99954),f862(f254(x99951),x99952)))) % 186.59/186.36 [10039]~P3(x100391)+~P1(f862(f862(f227(x100391),x100392),f862(x100395,f478(x100395,x100394,x100393,x100392,x100391))))+P1(f862(f862(f227(x100391),x100392),f862(f862(f32(x100393,x100391),x100394),x100395))) % 186.59/186.36 [10076]~P71(x100761)+~P1(f862(f54(x100762),x100765))+E(f862(f862(f862(f58(x100761,x100762,f74(x100761)),f862(f862(f20(x100762,x100761,x100761),f862(f862(f10(x100761,f932(x100761,x100761),x100762),f74(x100761)),x100763)),x100764)),f71(x100761)),x100765),f862(f862(f74(x100761),f862(f862(f862(f58(x100761,x100762,f74(x100761)),x100763),f71(x100761)),x100765)),f862(f862(f862(f58(x100761,x100762,f74(x100761)),x100764),f71(x100761)),x100765))) % 186.59/186.36 [10134]~P1(f862(f862(f321(f931(f932(x101341,a921),f932(x101341,a921))),f862(f862(f244(f932(x101341,a921),f932(x101341,a921)),x101345),x101344)),f310(x101341,x101343)))+~P1(f862(f862(f321(x101341),x101342),x101345))+P1(f862(f862(f321(f931(x101341,x101341)),f862(f862(f244(x101341,x101341),x101342),f616(x101343,x101344,x101345,x101341,x101342))),x101343)) % 186.59/186.36 [10274]~P1(f862(f862(f321(f931(f925(x102741),f925(x102741))),f862(f862(f244(f925(x102741),f925(x102741)),f862(f862(f127(x102741),x102745),x102742)),f862(f862(f127(x102741),x102745),x102743))),f140(x102741,x102744)))+P1(f862(f862(f321(f931(f925(x102741),f925(x102741))),f862(f862(f244(f925(x102741),f925(x102741)),x102742),x102743)),f140(x102741,x102744)))+P1(f862(f862(f321(f931(x102741,x102741)),f862(f862(f244(x102741,x102741),f695(x102744,x102743,x102742,x102745,x102741)),f695(x102744,x102743,x102742,x102745,x102741))),x102744)) % 186.59/186.36 [7450]~E(x74503,x74505)+E(f862(f862(f157(x74501),f862(f862(f152(x74501,x74502),x74503),x74504)),x74505),x74504)+~P1(f862(f862(f228(a924),x74503),f862(f182(f925(x74501)),x74502))) % 186.59/186.36 [7565]~E(f862(f862(f127(x75651),x75652),x75654),f862(f862(f127(x75651),x75653),x75655))+E(f862(f862(f168(x75651),f862(f182(f925(x75651)),x75652)),x75653),x75652)+P1(f862(f862(f227(a924),f862(f182(f925(x75651)),x75653)),f862(f182(f925(x75651)),x75652))) % 186.59/186.36 [8058]~E(f862(f862(f127(x80581),x80582),x80584),f862(f862(f127(x80581),x80583),x80585))+E(f862(f862(f168(x80581),f862(f182(f925(x80581)),x80582)),x80583),x80582)+~P1(f862(f862(f227(a924),f862(f182(f925(x80581)),x80582)),f862(f182(f925(x80581)),x80583))) % 186.59/186.36 [8082]~P1(f862(f54(x80821),f862(x80824,x80825)))+~P1(f862(f862(f321(x80822),x80825),x80823))+P1(f862(f54(x80821),f862(f862(f32(x80822,f932(x80821,a921)),x80823),x80824))) % 186.59/186.36 [8261]~P50(x82611,x82613,x82615)+~P50(x82611,x82612,x82614)+P50(x82611,f862(f862(f103(f932(x82611,a921)),x82612),x82613),f862(f862(f103(f932(f931(x82611,x82611),a921)),x82614),x82615)) % 186.59/186.36 [8262]~P50(x82621,x82623,x82625)+~P50(x82621,x82622,x82624)+P50(x82621,f862(f862(f94(f932(x82621,a921)),x82622),x82623),f862(f862(f94(f932(f931(x82621,x82621),a921)),x82624),x82625)) % 186.59/186.36 [8618]E(f862(f862(f244(x86181,x86182),f862(f862(f157(x86181),x86183),x86184)),f862(f862(f157(x86182),x86185),x86184)),f862(f862(f157(f931(x86181,x86182)),f862(f862(f174(x86181,x86182),x86183),x86185)),x86184))+~P1(f862(f862(f228(a924),x86184),f862(f182(f925(x86181)),x86183)))+~P1(f862(f862(f228(a924),x86184),f862(f182(f925(x86182)),x86185))) % 186.59/186.36 [8774]~P50(x87741,x87743,x87744)+P1(f862(f862(f321(x87741),x87742),x87743))+~P1(f862(f862(f321(f931(x87741,x87741)),f862(f862(f244(x87741,x87741),x87745),x87742)),x87744)) % 186.59/186.36 [8775]~P50(x87751,x87753,x87754)+P1(f862(f862(f321(x87751),x87752),x87753))+~P1(f862(f862(f321(f931(x87751,x87751)),f862(f862(f244(x87751,x87751),x87752),x87755)),x87754)) % 186.59/186.36 [8776]~P6(x87761,x87763,x87764)+P1(f862(f862(f321(x87761),x87762),x87763))+~P1(f862(f862(f321(f931(x87761,x87761)),f862(f862(f244(x87761,x87761),x87765),x87762)),x87764)) % 186.59/186.36 [8777]~P6(x87771,x87773,x87774)+P1(f862(f862(f321(x87771),x87772),x87773))+~P1(f862(f862(f321(f931(x87771,x87771)),f862(f862(f244(x87771,x87771),x87772),x87775)),x87774)) % 186.59/186.36 [9061]~P6(x90611,x90615,x90612)+E(f862(f276(x90611,x90611,x90612),f862(f862(f301(x90611),x90613),f181(f932(x90611,a921)))),f862(f276(x90611,x90611,x90612),f862(f862(f301(x90611),x90614),f181(f932(x90611,a921)))))+~P1(f862(f862(f321(f931(x90611,x90611)),f862(f862(f244(x90611,x90611),x90613),x90614)),x90612)) % 186.59/186.36 [9245]P1(f862(x92451,x92452))+~P1(f862(f862(f321(x92453),x92452),x92455))+P1(f862(f862(f321(x92453),f591(x92451,x92454,x92455,x92453)),f862(f862(f103(f932(x92453,a921)),x92455),x92454))) % 186.59/186.36 [9246]P1(f862(x92461,x92462))+~P1(f862(f862(f321(x92463),x92462),x92464))+P1(f862(f862(f321(x92463),f591(x92461,x92464,x92465,x92463)),f862(f862(f103(f932(x92463,a921)),x92465),x92464))) % 186.59/186.36 [9254]~P1(f862(x92542,x92545))+~P1(f862(f862(f321(x92541),x92545),x92544))+P1(f862(f862(f321(x92541),f628(x92542,x92543,x92544,x92541)),f862(f862(f103(f932(x92541,a921)),x92544),x92543))) % 186.59/186.36 [9255]~P1(f862(x92552,x92555))+~P1(f862(f862(f321(x92551),x92555),x92553))+P1(f862(f862(f321(x92551),f628(x92552,x92553,x92554,x92551)),f862(f862(f103(f932(x92551,a921)),x92554),x92553))) % 186.59/186.36 [9270]~P1(f862(f862(f227(f932(x92701,a921)),x92703),x92705))+~P1(f862(f862(f227(f932(x92701,a921)),x92702),x92704))+P1(f862(f862(f227(f932(x92701,a921)),f862(f862(f103(f932(x92701,a921)),x92702),x92703)),f862(f862(f103(f932(x92701,a921)),x92704),x92705))) % 186.59/186.36 [9271]~P1(f862(f862(f227(f932(x92711,a921)),x92713),x92715))+~P1(f862(f862(f227(f932(x92711,a921)),x92712),x92714))+P1(f862(f862(f227(f932(x92711,a921)),f862(f862(f94(f932(x92711,a921)),x92712),x92713)),f862(f862(f94(f932(x92711,a921)),x92714),x92715))) % 186.59/186.36 [9272]~P1(f862(f862(f227(f932(x92721,a921)),x92725),x92723))+~P1(f862(f862(f227(f932(x92721,a921)),x92722),x92724))+P1(f862(f862(f227(f932(x92721,a921)),f862(f862(f3(f932(x92721,a921)),x92722),x92723)),f862(f862(f3(f932(x92721,a921)),x92724),x92725))) % 186.59/186.36 [9368]P1(f862(f862(f321(f931(x93681,x93681)),f862(f862(f244(x93681,x93681),x93682),x93683)),f313(x93681,x93684,x93685)))+~P1(f862(f862(f227(a924),f862(x93684,x93682)),f862(x93684,x93683)))+~P1(f862(f862(f321(f931(x93681,x93681)),f862(f862(f244(x93681,x93681),x93682),x93683)),x93685)) % 186.59/186.36 [9556]P1(f862(f862(f321(f931(x95561,x95561)),f862(f862(f244(x95561,x95561),x95562),x95563)),f299(x95561,x95564)))+~P1(f862(f862(f321(f931(x95561,x95561)),f862(f862(f244(x95561,x95561),x95562),x95565)),f299(x95561,x95564)))+~P1(f862(f862(f321(f931(x95561,x95561)),f862(f862(f244(x95561,x95561),x95565),x95563)),x95564)) % 186.59/186.36 [9557]P1(f862(f862(f321(f931(x95571,x95571)),f862(f862(f244(x95571,x95571),x95572),x95573)),f299(x95571,x95574)))+~P1(f862(f862(f321(f931(x95571,x95571)),f862(f862(f244(x95571,x95571),x95575),x95573)),f299(x95571,x95574)))+~P1(f862(f862(f321(f931(x95571,x95571)),f862(f862(f244(x95571,x95571),x95572),x95575)),x95574)) % 186.59/186.36 [9660]E(x96601,x96602)+E(f862(a105,f633(x96603,x96604,x96601,x96602,x96605)),x96604)+~P1(f862(f862(f321(f931(x96605,x96605)),f862(f862(f244(x96605,x96605),x96602),x96601)),f862(f862(f176(f931(x96605,x96605),a921),x96604),x96603))) % 186.59/186.36 [9661]E(x96611,x96612)+E(f862(a105,f636(x96613,x96614,x96611,x96612,x96615)),x96614)+~P1(f862(f862(f321(f931(x96615,x96615)),f862(f862(f244(x96615,x96615),x96612),x96611)),f862(f862(f176(f931(x96615,x96615),a921),x96614),x96613))) % 186.59/186.36 [9662]E(x96621,f2(a924))+E(f862(a105,f633(x96622,x96621,x96623,x96624,x96625)),x96621)+~P1(f862(f862(f321(f931(x96625,x96625)),f862(f862(f244(x96625,x96625),x96624),x96623)),f862(f862(f176(f931(x96625,x96625),a921),x96621),x96622))) % 186.59/186.36 [9663]E(x96631,f2(a924))+E(f862(a105,f636(x96632,x96631,x96633,x96634,x96635)),x96631)+~P1(f862(f862(f321(f931(x96635,x96635)),f862(f862(f244(x96635,x96635),x96634),x96633)),f862(f862(f176(f931(x96635,x96635),a921),x96631),x96632))) % 186.59/186.36 [9686]P1(f862(f862(f321(f931(x96861,x96861)),f862(f862(f244(x96861,x96861),x96862),x96863)),f862(f862(f280(x96861,x96861,x96861),x96864),f299(x96861,x96864))))+~P1(f862(f862(f321(f931(x96861,x96861)),f862(f862(f244(x96861,x96861),x96862),x96865)),x96864))+~P1(f862(f862(f321(f931(x96861,x96861)),f862(f862(f244(x96861,x96861),x96865),x96863)),x96864)) % 186.59/186.36 [9696]~P1(f862(f862(f321(f931(x96961,x96961)),f862(f862(f244(x96961,x96961),x96962),x96965)),f299(x96961,x96964)))+P1(f862(f862(f321(f931(x96961,x96961)),f862(f862(f244(x96961,x96961),x96962),x96963)),f862(f862(f280(x96961,x96961,x96961),x96964),f299(x96961,x96964))))+~P1(f862(f862(f321(f931(x96961,x96961)),f862(f862(f244(x96961,x96961),x96965),x96963)),x96964)) % 186.59/186.36 [9731]~P6(x97311,x97315,x97312)+~P1(f862(f862(f321(f931(x97311,x97311)),f862(f862(f244(x97311,x97311),x97313),x97314)),x97312))+P1(f862(f862(f227(f932(x97311,a921)),f862(f276(x97311,x97311,x97312),f862(f862(f301(x97311),x97313),f181(f932(x97311,a921))))),f862(f276(x97311,x97311,x97312),f862(f862(f301(x97311),x97314),f181(f932(x97311,a921)))))) % 186.59/186.36 [9789]P1(f862(f862(f321(f931(x97891,x97891)),f862(f862(f244(x97891,x97891),x97892),x97893)),f862(f862(f280(x97891,x97891,x97891),x97894),f299(x97891,x97894))))+~P1(f862(f862(f321(f931(x97891,x97891)),f862(f862(f244(x97891,x97891),x97892),x97895)),f862(f862(f280(x97891,x97891,x97891),x97894),f299(x97891,x97894))))+~P1(f862(f862(f321(f931(x97891,x97891)),f862(f862(f244(x97891,x97891),x97895),x97893)),x97894)) % 186.59/186.36 [9790]P1(f862(f862(f321(f931(x97901,x97901)),f862(f862(f244(x97901,x97901),x97902),x97903)),f862(f862(f280(x97901,x97901,x97901),x97904),f299(x97901,x97904))))+~P1(f862(f862(f321(f931(x97901,x97901)),f862(f862(f244(x97901,x97901),x97905),x97903)),f862(f862(f280(x97901,x97901,x97901),x97904),f299(x97901,x97904))))+~P1(f862(f862(f321(f931(x97901,x97901)),f862(f862(f244(x97901,x97901),x97902),x97905)),x97904)) % 186.59/186.36 [9840]~P1(f862(f59(x98401,x98401,x98404,x98402,x98403),x98405))+P1(f862(f862(f321(x98401),x98402),x98403))+P1(f862(f55(x98401,x98404,f862(f862(f301(x98401),x98402),x98403)),x98405)) % 186.59/186.36 [9878]~E(f862(f302(x98783,x98782,x98785),x98784),x98781)+E(x98781,f181(f932(x98782,a921)))+P1(f862(f862(f227(f932(x98783,a921)),f862(f302(x98782,x98783,f535(x98784,x98783,x98782,x98781)),x98781)),x98784)) % 186.59/186.36 [9926]~P3(x99265)+P1(f862(f862(f321(x99261),f481(x99262,x99263,x99264,x99261,x99265)),x99264))+P1(f862(f862(f227(x99265),f862(f862(f33(x99261,x99265),x99264),x99263)),x99262)) % 186.59/186.36 [9982]P32(x99821,x99822,x99823,x99824,x99825)+~E(f862(f182(f925(x99821)),x99824),f862(f182(f925(x99822)),x99825))+P1(f862(f862(f321(f931(x99821,x99822)),f706(x99825,x99824,x99823,x99822,x99821)),f862(f165(f931(x99821,x99822)),f862(f862(f174(x99821,x99822),x99824),x99825)))) % 186.59/186.36 [9983]P32(x99831,x99832,x99833,x99834,x99835)+~E(f862(f182(f925(x99831)),x99834),f862(f182(f925(x99832)),x99835))+P1(f862(f862(f321(f931(x99831,x99832)),f707(x99833,x99835,x99834,x99832,x99831)),f862(f165(f931(x99831,x99832)),f862(f862(f174(x99831,x99832),x99834),x99835)))) % 186.59/186.36 [10113]E(x101131,x101132)+P1(f862(f862(f321(f931(x101133,x101133)),f862(f862(f244(x101133,x101133),x101131),f634(x101134,x101135,x101132,x101131,x101133))),x101134))+~P1(f862(f862(f321(f931(x101133,x101133)),f862(f862(f244(x101133,x101133),x101131),x101132)),f862(f862(f176(f931(x101133,x101133),a921),x101135),x101134))) % 186.59/186.36 [10114]E(x101141,f2(a924))+P1(f862(f862(f321(f931(x101142,x101142)),f862(f862(f244(x101142,x101142),x101143),f634(x101144,x101141,x101145,x101143,x101142))),x101144))+~P1(f862(f862(f321(f931(x101142,x101142)),f862(f862(f244(x101142,x101142),x101143),x101145)),f862(f862(f176(f931(x101142,x101142),a921),x101141),x101144))) % 186.59/186.36 [10153]~P3(x101531)+~P1(f862(f862(f227(x101531),f862(x101534,f481(x101535,x101534,x101533,x101532,x101531))),x101535))+P1(f862(f862(f227(x101531),f862(f862(f33(x101532,x101531),x101533),x101534)),x101535)) % 186.59/186.36 [10206]E(x102061,x102062)+P1(f862(f862(f321(f931(x102063,x102063)),f862(f862(f244(x102063,x102063),f635(x102064,x102065,x102061,x102062,x102063)),x102061)),x102064))+~P1(f862(f862(f321(f931(x102063,x102063)),f862(f862(f244(x102063,x102063),x102062),x102061)),f862(f862(f176(f931(x102063,x102063),a921),x102065),x102064))) % 186.59/186.36 [10207]E(x102071,f2(a924))+P1(f862(f862(f321(f931(x102072,x102072)),f862(f862(f244(x102072,x102072),f635(x102073,x102071,x102074,x102075,x102072)),x102074)),x102073))+~P1(f862(f862(f321(f931(x102072,x102072)),f862(f862(f244(x102072,x102072),x102075),x102074)),f862(f862(f176(f931(x102072,x102072),a921),x102071),x102073))) % 186.59/186.36 [10211]E(x102111,x102112)+P1(f862(f862(f321(f931(x102113,x102113)),f862(f862(f244(x102113,x102113),x102111),f635(x102114,x102115,x102112,x102111,x102113))),f862(f862(f176(f931(x102113,x102113),a921),f636(x102114,x102115,x102112,x102111,x102113)),x102114)))+~P1(f862(f862(f321(f931(x102113,x102113)),f862(f862(f244(x102113,x102113),x102111),x102112)),f862(f862(f176(f931(x102113,x102113),a921),x102115),x102114))) % 186.59/186.36 [10212]E(x102121,f2(a924))+P1(f862(f862(f321(f931(x102122,x102122)),f862(f862(f244(x102122,x102122),x102123),f635(x102124,x102121,x102125,x102123,x102122))),f862(f862(f176(f931(x102122,x102122),a921),f636(x102124,x102121,x102125,x102123,x102122)),x102124)))+~P1(f862(f862(f321(f931(x102122,x102122)),f862(f862(f244(x102122,x102122),x102123),x102125)),f862(f862(f176(f931(x102122,x102122),a921),x102121),x102124))) % 186.59/186.36 [10265]E(x102651,x102652)+P1(f862(f862(f321(f931(x102653,x102653)),f862(f862(f244(x102653,x102653),f634(x102654,x102655,x102651,x102652,x102653)),x102651)),f862(f862(f176(f931(x102653,x102653),a921),f633(x102654,x102655,x102651,x102652,x102653)),x102654)))+~P1(f862(f862(f321(f931(x102653,x102653)),f862(f862(f244(x102653,x102653),x102652),x102651)),f862(f862(f176(f931(x102653,x102653),a921),x102655),x102654))) % 186.59/186.36 [10266]E(x102661,f2(a924))+P1(f862(f862(f321(f931(x102662,x102662)),f862(f862(f244(x102662,x102662),f634(x102663,x102661,x102664,x102665,x102662)),x102664)),f862(f862(f176(f931(x102662,x102662),a921),f633(x102663,x102661,x102664,x102665,x102662)),x102663)))+~P1(f862(f862(f321(f931(x102662,x102662)),f862(f862(f244(x102662,x102662),x102665),x102664)),f862(f862(f176(f931(x102662,x102662),a921),x102661),x102663))) % 186.59/186.36 [10301]~P72(x103012)+~P1(f862(f54(x103011),x103015))+E(f862(f862(f8(x103011,x103012),f862(f862(f9(x103011,x103012,x103012),f862(f862(f20(x103011,x103012,f932(x103012,x103012)),f862(f862(f10(a921,f932(x103012,f932(x103012,x103012)),x103011),f89(x103012)),f862(f862(f9(x103011,f932(x103011,a921),a921),f321(x103011)),x103013))),x103014)),f2(x103012))),x103015),f862(f862(f8(x103011,x103012),x103014),f862(f862(f94(f932(x103011,a921)),x103015),x103013))) % 186.59/186.36 [8842]~P72(x88421)+~P1(f862(f54(x88424),x88425))+E(f862(f862(f73(x88421),f862(x88422,x88423)),f862(f862(f8(x88424,x88421),x88422),f862(f862(f3(f932(x88424,a921)),x88425),f862(f862(f301(x88424),x88423),f181(f932(x88424,a921)))))),f862(f862(f8(x88424,x88421),x88422),f862(f862(f301(x88424),x88423),x88425))) % 186.59/186.36 [8843]~P71(x88431)+~P1(f862(f54(x88434),x88435))+E(f862(f862(f74(x88431),f862(x88432,x88433)),f862(f862(f11(x88434,x88431),x88432),f862(f862(f3(f932(x88434,a921)),x88435),f862(f862(f301(x88434),x88433),f181(f932(x88434,a921)))))),f862(f862(f11(x88434,x88431),x88432),f862(f862(f301(x88434),x88433),x88435))) % 186.59/186.36 [9178]~P109(x91782)+~P11(x91782,f862(f161(x91782),f862(f862(f147(x91781,x91782),x91784),x91785)))+E(f862(f129(x91781,f862(f862(f10(x91782,a921,x91781),f862(f228(x91782),x91783)),x91784)),x91785),f170(x91781,f862(f862(f10(x91782,a921,x91781),f862(f228(x91782),x91783)),x91784),x91785)) % 186.59/186.36 [9202]~P72(x92021)+E(f862(f862(f73(x92021),f862(f862(f8(a924,x92021),x92022),f296(a924,x92023,x92024))),f862(f862(f8(a924,x92021),x92022),f296(a924,f862(f862(f73(a924),x92024),f71(a924)),f862(f862(f73(a924),x92024),x92025)))),f862(f862(f8(a924,x92021),x92022),f296(a924,x92023,f862(f862(f73(a924),x92024),x92025))))+~P1(f862(f862(f227(a924),x92023),f862(f862(f73(a924),x92024),f71(a924)))) % 186.59/186.36 [9203]~P1(f862(f862(f321(x92031),x92034),x92035))+~P1(f862(f862(f227(f932(x92031,a921)),f862(f165(x92031),x92032)),x92035))+P1(f862(f862(f227(f932(x92031,a921)),f862(f165(x92031),f862(f862(f152(x92031,x92032),x92033),x92034))),x92035)) % 186.59/186.36 [9429]~P3(x94292)+~P1(f862(f54(x94291),x94295))+E(f862(f862(f57(x94291,x94292,f862(f862(f10(x94292,f932(x94292,x94292),x94291),f103(x94292)),x94293)),x94294),x94295),f862(f862(f103(x94292),x94294),f862(f862(f33(x94291,x94292),x94295),x94293))) % 186.59/186.36 [9430]~P3(x94302)+~P1(f862(f54(x94301),x94305))+E(f862(f862(f57(x94301,x94302,f862(f862(f10(x94302,f932(x94302,x94302),x94301),f94(x94302)),x94303)),x94304),x94305),f862(f862(f94(x94302),x94304),f862(f862(f32(x94301,x94302),x94305),x94303))) % 186.59/186.36 [9480]E(f862(x94801,x94802),f862(x94801,x94803))+P1(f862(f862(f228(a924),f862(x94801,x94802)),f862(x94801,x94803)))+~P1(f862(f862(f321(f931(x94804,x94804)),f862(f862(f244(x94804,x94804),x94802),x94803)),f146(x94804,f862(f862(f144(f932(x94804,a924)),x94801),x94805)))) % 186.59/186.36 [9513]~E(f862(x95134,x95132),f862(x95134,x95133))+~P1(f862(f862(f321(f931(x95131,x95131)),f862(f862(f244(x95131,x95131),x95132),x95133)),f146(x95131,x95135)))+P1(f862(f862(f321(f931(x95131,x95131)),f862(f862(f244(x95131,x95131),x95132),x95133)),f146(x95131,f862(f862(f144(f932(x95131,a924)),x95134),x95135)))) % 186.59/186.36 [9533]~P22(x95331,x95332,x95333,x95335)+P22(x95331,x95332,x95333,f862(f862(f301(x95331),x95334),x95335))+P1(f862(f862(f321(x95332),f862(x95333,x95334)),f862(f302(x95331,x95332,x95333),f862(f862(f3(f932(x95331,a921)),x95335),f862(f862(f301(x95331),x95334),f181(f932(x95331,a921))))))) % 186.59/186.36 [9536]P1(f862(x95362,x95365))+~P1(f862(f862(f321(x95361),x95365),f862(f165(x95361),x95363)))+E(f862(f862(f131(x95361),f862(f182(f925(x95361)),f170(x95361,x95362,f862(f862(f127(x95361),x95363),x95364)))),f862(f862(f127(x95361),x95363),x95364)),f862(f862(f127(x95361),f862(f862(f131(x95361),f862(f182(f925(x95361)),f170(x95361,x95362,x95363))),x95363)),x95364)) % 186.59/186.36 [9542]~P1(f862(f862(f321(f931(x95421,x95421)),f862(f862(f244(x95421,x95421),x95422),x95423)),f146(x95421,x95425)))+~P1(f862(f862(f227(a924),f862(x95424,x95422)),f862(x95424,x95423)))+P1(f862(f862(f321(f931(x95421,x95421)),f862(f862(f244(x95421,x95421),x95422),x95423)),f146(x95421,f862(f862(f144(f932(x95421,a924)),x95424),x95425)))) % 186.59/186.36 [9611]P1(f862(f862(f321(f931(x96114,x96114)),f862(f862(f244(x96114,x96114),x96112),x96113)),f146(x96114,x96115)))+P1(f862(f862(f228(a924),f862(x96111,x96112)),f862(x96111,x96113)))+~P1(f862(f862(f321(f931(x96114,x96114)),f862(f862(f244(x96114,x96114),x96112),x96113)),f146(x96114,f862(f862(f144(f932(x96114,a924)),x96111),x96115)))) % 186.59/186.36 [9761]~P1(f862(f862(f321(f931(f925(x97611),f925(x97611))),f862(f862(f244(f925(x97611),f925(x97611)),x97612),x97614)),f151(x97611,x97615)))+~P1(f862(f862(f228(a924),x97613),f862(f182(f925(x97611)),x97612)))+P1(f862(f862(f321(f931(x97611,x97611)),f862(f862(f244(x97611,x97611),f862(f862(f157(x97611),x97612),x97613)),f862(f862(f157(x97611),x97614),x97613))),x97615)) % 186.59/186.36 [10006]E(x100061,f2(a1))+~P1(f862(f42(x100063,x100061),f862(f862(f244(a1,a1),x100064),x100065)))+P1(f862(f42(f862(f862(f74(a1),x100062),x100063),x100061),f862(f862(f244(a1,a1),f862(f862(f73(a1),f862(f862(f74(a1),x100062),x100064)),f862(f862(f29(a1),f862(f862(f74(a1),x100062),x100065)),x100061))),f38(a1,f862(f862(f74(a1),x100062),x100065),x100061)))) % 186.59/186.36 [10007]~P1(f862(f862(f228(a924),f2(a924)),x100073))+~P1(f862(f41(x100072,x100073),f862(f862(f244(a924,a924),x100074),x100075)))+P1(f862(f41(f862(f862(f74(a924),x100071),x100072),x100073),f862(f862(f244(a924,a924),f862(f862(f73(a924),f862(f862(f74(a924),x100071),x100074)),f862(f862(f29(a924),f862(f862(f74(a924),x100071),x100075)),x100073))),f38(a924,f862(f862(f74(a924),x100071),x100075),x100073)))) % 186.59/186.36 [10324]~P72(x103242)+~P1(f862(f54(x103241),x103244))+E(f862(f862(f8(x103241,x103242),x103243),f862(f254(x103241),f862(f862(f20(x103241,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103241),a318),f862(f862(f9(x103241,f932(x103241,a921),a921),f321(x103241)),x103244))),f862(f862(f9(x103241,f932(x103241,a921),a921),f321(x103241)),x103245)))),f862(f862(f8(x103241,x103242),f862(f862(f9(x103241,x103242,x103242),f862(f862(f20(x103241,x103242,f932(x103242,x103242)),f862(f862(f10(a921,f932(x103242,f932(x103242,x103242)),x103241),f89(x103242)),f862(f862(f9(x103241,f932(x103241,a921),a921),f321(x103241)),x103245))),x103243)),f2(x103242))),x103244)) % 186.59/186.36 [8470]~E(f862(f862(f127(x84701),x84702),x84705),f862(f862(f127(x84701),x84703),x84704))+E(f862(f862(f127(x84701),f862(f862(f131(x84701),f862(f182(f925(x84701)),x84702)),x84703)),x84704),x84705)+P1(f862(f862(f227(a924),f862(f182(f925(x84701)),x84703)),f862(f182(f925(x84701)),x84702))) % 186.59/186.36 [8667]~E(f862(f862(f127(x86672),x86673),x86671),f862(f862(f127(x86672),x86674),x86675))+E(x86671,f862(f862(f127(x86672),f862(f862(f131(x86672),f862(f182(f925(x86672)),x86673)),x86674)),x86675))+~P1(f862(f862(f227(a924),f862(f182(f925(x86672)),x86673)),f862(f182(f925(x86672)),x86674))) % 186.59/186.36 [8757]~E(f862(f862(f73(a924),f862(f862(f74(a924),x87573),x87574)),x87571),f862(f862(f73(a924),f862(f862(f74(a924),x87572),x87574)),x87575))+~P1(f862(f862(f227(a924),x87573),x87572))+E(x87571,f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x87572),x87573)),x87574)),x87575)) % 186.59/186.36 [8758]~E(f862(f862(f73(a924),f862(f862(f74(a924),x87581),x87583)),x87584),f862(f862(f73(a924),f862(f862(f74(a924),x87582),x87583)),x87585))+~P1(f862(f862(f227(a924),x87582),x87581))+E(f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x87581),x87582)),x87583)),x87584),x87585) % 186.59/186.36 [8927]E(f862(f862(f73(a924),f862(f862(f74(a924),x89271),x89272)),x89273),f862(f862(f73(a924),f862(f862(f74(a924),x89274),x89272)),x89275))+~P1(f862(f862(f227(a924),x89274),x89271))+~E(x89275,f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x89271),x89274)),x89272)),x89273)) % 186.59/186.36 [8928]E(f862(f862(f73(a924),f862(f862(f74(a924),x89281),x89282)),x89283),f862(f862(f73(a924),f862(f862(f74(a924),x89284),x89282)),x89285))+~P1(f862(f862(f227(a924),x89284),x89281))+~E(f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x89281),x89284)),x89282)),x89283),x89285) % 186.59/186.36 [9815]~P64(x98152)+~P1(f862(f54(x98151),x98155))+E(f862(f862(f11(x98151,x98152),f862(f862(f20(x98151,x98152,x98152),f862(f862(f10(x98152,f932(x98152,x98152),x98151),f282(x98152)),x98153)),x98154)),x98155),f862(f862(f282(x98152),f862(f862(f11(x98151,x98152),x98153),x98155)),f862(f862(f11(x98151,x98152),x98154),x98155))) % 186.59/186.36 [9945]~E(f638(x99455,x99454,x99453,x99452,x99451),f639(x99455,x99454,x99453,x99452,x99451))+P1(f862(f862(f321(f931(x99451,x99451)),f862(f862(f244(x99451,x99451),x99452),x99453)),f299(x99451,x99454)))+~P1(f862(f862(f321(f931(x99451,x99451)),f862(f862(f244(x99451,x99451),x99452),x99453)),f299(x99451,f862(f862(f103(f932(f931(x99451,x99451),a921)),x99454),x99455)))) % 186.59/186.36 [9946]~E(f640(x99465,x99464,x99463,x99462,x99461),f641(x99465,x99464,x99463,x99462,x99461))+P1(f862(f862(f321(f931(x99461,x99461)),f862(f862(f244(x99461,x99461),x99462),x99463)),f299(x99461,x99464)))+~P1(f862(f862(f321(f931(x99461,x99461)),f862(f862(f244(x99461,x99461),x99462),x99463)),f299(x99461,f862(f862(f103(f932(f931(x99461,x99461),a921)),x99464),x99465)))) % 186.59/186.36 [10143]P1(f862(f862(f321(f931(x101431,x101431)),f862(f862(f244(x101431,x101431),x101432),f639(x101435,x101434,x101433,x101432,x101431))),f299(x101431,x101434)))+P1(f862(f862(f321(f931(x101431,x101431)),f862(f862(f244(x101431,x101431),x101432),x101433)),f299(x101431,x101434)))+~P1(f862(f862(f321(f931(x101431,x101431)),f862(f862(f244(x101431,x101431),x101432),x101433)),f299(x101431,f862(f862(f103(f932(f931(x101431,x101431),a921)),x101434),x101435)))) % 186.59/186.36 [10233]P1(f862(f862(f321(f931(x102331,x102331)),f862(f862(f244(x102331,x102331),f641(x102335,x102334,x102333,x102332,x102331)),x102333)),f299(x102331,x102334)))+P1(f862(f862(f321(f931(x102331,x102331)),f862(f862(f244(x102331,x102331),x102332),x102333)),f299(x102331,x102334)))+~P1(f862(f862(f321(f931(x102331,x102331)),f862(f862(f244(x102331,x102331),x102332),x102333)),f299(x102331,f862(f862(f103(f932(f931(x102331,x102331),a921)),x102334),x102335)))) % 186.59/186.36 [10272]P1(f862(f862(f321(f931(x102721,x102721)),f862(f862(f244(x102721,x102721),x102722),x102723)),f299(x102721,x102724)))+P1(f862(f862(f321(f931(x102721,x102721)),f862(f862(f244(x102721,x102721),f639(x102725,x102724,x102723,x102722,x102721)),f638(x102725,x102724,x102723,x102722,x102721))),x102725))+~P1(f862(f862(f321(f931(x102721,x102721)),f862(f862(f244(x102721,x102721),x102722),x102723)),f299(x102721,f862(f862(f103(f932(f931(x102721,x102721),a921)),x102724),x102725)))) % 186.59/186.36 [10273]P1(f862(f862(f321(f931(x102731,x102731)),f862(f862(f244(x102731,x102731),x102732),x102733)),f299(x102731,x102734)))+P1(f862(f862(f321(f931(x102731,x102731)),f862(f862(f244(x102731,x102731),f640(x102735,x102734,x102733,x102732,x102731)),f641(x102735,x102734,x102733,x102732,x102731))),x102735))+~P1(f862(f862(f321(f931(x102731,x102731)),f862(f862(f244(x102731,x102731),x102732),x102733)),f299(x102731,f862(f862(f103(f932(f931(x102731,x102731),a921)),x102734),x102735)))) % 186.59/186.36 [10416]~P1(f862(f862(f321(f931(f925(x104161),f925(x104161))),f862(f862(f244(f925(x104161),f925(x104161)),x104164),x104165)),f151(x104161,x104162)))+~P1(f862(f862(f321(f931(x104161,x104161)),x104163),f862(f165(f931(x104161,x104161)),f862(f862(f174(x104161,x104161),x104164),x104165))))+P1(f862(f862(f249(x104161,x104161,a921),f862(f862(f9(x104161,f932(f931(x104161,x104161),a921),f932(x104161,a921)),f862(f862(f10(f932(x104161,f932(f932(f931(x104161,x104161),a921),a921)),f932(f932(f931(x104161,x104161),a921),f932(x104161,a921)),x104161),f9(x104161,f932(f931(x104161,x104161),a921),a921)),f862(f862(f10(f932(x104161,f931(x104161,x104161)),f932(x104161,f932(f932(f931(x104161,x104161),a921),a921)),x104161),f862(f10(f931(x104161,x104161),f932(f932(f931(x104161,x104161),a921),a921),x104161),f321(f931(x104161,x104161)))),f244(x104161,x104161)))),x104162)),x104163)) % 186.59/186.36 [9844]~P1(f862(f862(f227(a924),x98443),x98442))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),f862(f862(f74(a924),x98443),x98444)),x98441)),f862(f862(f73(a924),f862(f862(f74(a924),x98442),x98444)),x98445)))+P1(f862(f862(f227(a924),x98441),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x98442),x98443)),x98444)),x98445))) % 186.59/186.36 [9845]~P1(f862(f862(f227(a924),x98453),x98452))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),x98453),x98454)),x98451)),f862(f862(f73(a924),f862(f862(f74(a924),x98452),x98454)),x98455)))+P1(f862(f862(f228(a924),x98451),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x98452),x98453)),x98454)),x98455))) % 186.59/186.36 [9862]~P1(f862(f862(f227(a924),x98621),x98624))+P1(f862(f862(f227(a924),f862(f862(f73(a924),f862(f862(f74(a924),x98621),x98622)),x98623)),f862(f862(f73(a924),f862(f862(f74(a924),x98624),x98622)),x98625)))+~P1(f862(f862(f227(a924),x98623),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x98624),x98621)),x98622)),x98625))) % 186.59/186.36 [9863]~P1(f862(f862(f227(a924),x98631),x98634))+P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),x98631),x98632)),x98633)),f862(f862(f73(a924),f862(f862(f74(a924),x98634),x98632)),x98635)))+~P1(f862(f862(f228(a924),x98633),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x98634),x98631)),x98632)),x98635))) % 186.59/186.36 [9980]~P1(f862(f862(f227(a924),x99802),x99801))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),f862(f862(f74(a924),x99801),x99803)),x99804)),f862(f862(f73(a924),f862(f862(f74(a924),x99802),x99803)),x99805)))+P1(f862(f862(f227(a924),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x99801),x99802)),x99803)),x99804)),x99805)) % 186.59/186.36 [9981]~P1(f862(f862(f227(a924),x99812),x99811))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),x99811),x99813)),x99814)),f862(f862(f73(a924),f862(f862(f74(a924),x99812),x99813)),x99815)))+P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x99811),x99812)),x99813)),x99814)),x99815)) % 186.59/186.36 [10025]~P1(f862(f862(f227(a924),x100254),x100251))+P1(f862(f862(f227(a924),f862(f862(f73(a924),f862(f862(f74(a924),x100251),x100252)),x100253)),f862(f862(f73(a924),f862(f862(f74(a924),x100254),x100252)),x100255)))+~P1(f862(f862(f227(a924),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x100251),x100254)),x100252)),x100253)),x100255)) % 186.59/186.36 [10026]~P1(f862(f862(f227(a924),x100264),x100261))+P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),x100261),x100262)),x100263)),f862(f862(f73(a924),f862(f862(f74(a924),x100264),x100262)),x100265)))+~P1(f862(f862(f228(a924),f862(f862(f73(a924),f862(f862(f74(a924),f862(f862(f3(a924),x100261),x100264)),x100262)),x100263)),x100265)) % 186.59/186.36 [10260]~P9(x102601,x102602,x102605,x102603)+~P1(f862(f862(f321(f931(x102601,x102601)),x102604),x102605))+P1(f862(f862(f249(x102601,x102601,a921),f862(f862(f9(x102601,f932(x102601,x102602),f932(x102601,a921)),f862(f862(f10(f932(x102602,a921),f932(f932(x102601,x102602),f932(x102601,a921)),x102601),f10(x102602,a921,x102601)),f862(f862(f10(x102602,f932(x102602,a921),x102601),a317),x102603))),x102603)),x102604)) % 186.59/186.36 [8630]~P17(x86306,x86301,x86302,x86304)+E(f862(f66(x86301,x86301,x86301,f862(x86302,x86303)),f862(x86304,x86305)),f862(f66(x86301,x86301,x86301,f862(x86304,x86305)),f862(x86302,x86303)))+~P1(f862(f54(x86306),x86305)) % 186.59/186.36 [9073]~P22(x90731,x90733,x90735,x90736)+~P22(x90733,x90732,x90734,f862(f302(x90731,x90733,x90735),x90736))+P22(x90731,x90732,f862(f66(x90733,x90732,x90731,x90734),x90735),x90736) % 186.59/186.36 [9643]~P1(f862(f862(x96433,x96432),x96436))+~P1(f862(f862(x96434,x96435),x96432))+P1(f862(f862(f321(x96431),x96432),f291(x96431,x96433,x96434,x96435,x96436))) % 186.59/186.36 [9644]~P1(f862(f862(x96444,x96442),x96446))+~P1(f862(f862(x96443,x96445),x96442))+P1(f862(f862(f321(x96441),x96442),f288(x96441,x96443,x96444,x96445,x96446))) % 186.59/186.36 [9762]E(x97621,x97622)+E(x97623,x97624)+~P1(f862(f862(f321(f931(f925(x97625),f925(x97625))),f862(f862(f244(f925(x97625),f925(x97625)),f862(f862(f144(x97625),x97623),x97621)),f862(f862(f144(x97625),x97624),x97622))),f150(x97625,x97626))) % 186.59/186.36 [9771]~E(x97712,x97714)+P1(f862(f862(f321(f931(f925(x97711),f925(x97711))),f862(f862(f244(f925(x97711),f925(x97711)),f862(f862(f144(x97711),x97712),x97713)),f862(f862(f144(x97711),x97714),x97715))),f138(x97711,x97716)))+~P1(f862(f862(f321(f931(f925(x97711),f925(x97711))),f862(f862(f244(f925(x97711),f925(x97711)),x97713),x97715)),f138(x97711,x97716))) % 186.59/186.36 [9772]~E(x97722,x97724)+P1(f862(f862(f321(f931(f925(x97721),f925(x97721))),f862(f862(f244(f925(x97721),f925(x97721)),f862(f862(f144(x97721),x97722),x97723)),f862(f862(f144(x97721),x97724),x97725))),f140(x97721,x97726)))+~P1(f862(f862(f321(f931(f925(x97721),f925(x97721))),f862(f862(f244(f925(x97721),f925(x97721)),x97723),x97725)),f140(x97721,x97726))) % 186.59/186.36 [9773]~E(x97732,x97734)+P1(f862(f862(f321(f931(f925(x97731),f925(x97731))),f862(f862(f244(f925(x97731),f925(x97731)),f862(f862(f144(x97731),x97732),x97733)),f862(f862(f144(x97731),x97734),x97735))),f150(x97731,x97736)))+~P1(f862(f862(f321(f931(f925(x97731),f925(x97731))),f862(f862(f244(f925(x97731),f925(x97731)),x97733),x97735)),f150(x97731,x97736))) % 186.59/186.36 [9774]~E(x97742,x97744)+P1(f862(f862(f321(f931(f925(x97741),f925(x97741))),f862(f862(f244(f925(x97741),f925(x97741)),f862(f862(f127(x97741),x97742),x97743)),f862(f862(f127(x97741),x97744),x97745))),f150(x97741,x97746)))+~P1(f862(f862(f321(f931(f925(x97741),f925(x97741))),f862(f862(f244(f925(x97741),f925(x97741)),x97743),x97745)),f150(x97741,x97746))) % 186.59/186.36 [9775]~E(x97753,x97755)+P1(f862(f862(f321(f931(f925(x97751),f925(x97751))),f862(f862(f244(f925(x97751),f925(x97751)),f862(f862(f127(x97751),x97752),x97753)),f862(f862(f127(x97751),x97754),x97755))),f150(x97751,x97756)))+~P1(f862(f862(f321(f931(f925(x97751),f925(x97751))),f862(f862(f244(f925(x97751),f925(x97751)),x97752),x97754)),f150(x97751,x97756))) % 186.59/186.36 [9832]E(x98321,x98322)+P1(f862(f862(f321(f931(f925(x98323),f925(x98323))),f862(f862(f244(f925(x98323),f925(x98323)),x98321),x98322)),f150(x98323,x98324)))+~P1(f862(f862(f321(f931(f925(x98323),f925(x98323))),f862(f862(f244(f925(x98323),f925(x98323)),f862(f862(f144(x98323),x98325),x98321)),f862(f862(f144(x98323),x98326),x98322))),f150(x98323,x98324))) % 186.59/186.36 [9984]~E(x99843,x99845)+P1(f862(f862(f321(f931(f925(x99841),f925(x99841))),f862(f862(f244(f925(x99841),f925(x99841)),f862(f862(f127(x99841),x99842),f862(f862(f144(x99841),x99843),f106(x99841)))),f862(f862(f127(x99841),x99844),f862(f862(f144(x99841),x99845),f106(x99841))))),f150(x99841,x99846)))+~P1(f862(f862(f321(f931(f925(x99841),f925(x99841))),f862(f862(f244(f925(x99841),f925(x99841)),x99842),x99844)),f150(x99841,x99846))) % 186.59/186.36 [10029]E(x100291,x100292)+E(x100293,x100294)+~P1(f862(f862(f321(f931(f925(x100295),f925(x100295))),f862(f862(f244(f925(x100295),f925(x100295)),f862(f862(f127(x100295),x100293),f862(f862(f144(x100295),x100291),f106(x100295)))),f862(f862(f127(x100295),x100294),f862(f862(f144(x100295),x100292),f106(x100295))))),f150(x100295,x100296))) % 186.59/186.36 [10055]E(x100551,x100552)+~P1(f862(f862(f321(f931(f925(x100553),f925(x100553))),f862(f862(f244(f925(x100553),f925(x100553)),f862(f862(f127(x100553),x100551),f862(f862(f144(x100553),x100555),f106(x100553)))),f862(f862(f127(x100553),x100552),f862(f862(f144(x100553),x100556),f106(x100553))))),f150(x100553,x100554)))+P1(f862(f862(f321(f931(f925(x100553),f925(x100553))),f862(f862(f244(f925(x100553),f925(x100553)),x100551),x100552)),f150(x100553,x100554))) % 186.59/186.36 [10095]~P1(f862(f862(f321(f931(f932(x100951,a921),f932(x100951,a921))),f862(f862(f244(f932(x100951,a921),f932(x100951,a921)),x100952),x100954)),f310(x100951,x100956)))+~P1(f862(f862(f321(f931(f932(x100951,a921),f932(x100951,a921))),f862(f862(f244(f932(x100951,a921),f932(x100951,a921)),x100953),x100955)),f310(x100951,x100956)))+P1(f862(f862(f321(f931(f932(x100951,a921),f932(x100951,a921))),f862(f862(f244(f932(x100951,a921),f932(x100951,a921)),f862(f862(f103(f932(x100951,a921)),x100952),x100953)),f862(f862(f103(f932(x100951,a921)),x100954),x100955))),f310(x100951,x100956))) % 186.59/186.36 [5841]~E(f862(f862(f127(x58411),x58416),x58413),x58415)+E(f862(f862(f127(x58411),x58412),x58413),f862(f862(f144(x58411),x58414),x58415))+~E(x58412,f862(f862(f144(x58411),x58414),x58416)) % 186.59/186.36 [5842]~E(f862(f862(f127(x58421),x58426),x58423),x58425)+E(f862(f862(f127(x58421),x58422),x58423),f862(f862(f127(x58421),x58424),x58425))+~E(x58422,f862(f862(f127(x58421),x58424),x58426)) % 186.59/186.36 [5844]E(f862(f862(f127(x58441),x58442),x58443),f862(f862(f144(x58441),x58444),x58445))+~E(f862(f862(f144(x58441),x58444),x58446),x58442)+~E(x58445,f862(f862(f127(x58441),x58446),x58443)) % 186.59/186.36 [5846]~E(f862(f862(f127(x58461),x58462),x58466),x58464)+E(f862(f862(f127(x58461),x58462),x58463),f862(f862(f127(x58461),x58464),x58465))+~E(x58463,f862(f862(f127(x58461),x58466),x58465)) % 186.59/186.36 [7008]E(f862(x70081,x70082),f862(x70083,x70082))+~E(f862(f862(f147(x70084,x70085),x70081),x70086),f862(f862(f147(x70084,x70085),x70083),x70086))+~P1(f862(f862(f321(x70084),x70082),f862(f165(x70084),x70086))) % 186.59/186.36 [7395]~P17(x73954,x73955,x73956,x73951)+E(f862(f862(x73951,x73952),x73953),f862(f862(f57(x73954,x73955,x73956),x73953),x73952))+~P1(f862(f54(x73954),x73952)) % 186.59/186.36 [7468]~E(x74682,f862(x74684,x74686))+~P1(f862(f862(f321(x74683),x74686),x74685))+P1(f862(f862(f321(x74681),x74682),f862(f302(x74683,x74681,x74684),x74685))) % 186.59/186.36 [7469]~E(f862(x74694,x74692),x74696)+~P1(f862(f862(f321(x74693),x74696),x74695))+P1(f862(f862(f321(x74691),x74692),f862(f303(x74691,x74693,x74694),x74695))) % 186.59/186.36 [7916]~P30(x79161,x79162,x79164,x79166)+P30(x79161,x79162,f862(f862(f144(x79161),x79163),x79164),f862(f862(f144(x79161),x79165),x79166))+~P1(f862(f862(x79162,x79163),x79165)) % 186.59/186.36 [8937]~P54(x89374,x89375,x89371,x89372,x89376)+E(f862(x89371,f862(x89372,x89373)),x89373)+~P1(f862(f862(f321(x89375),x89373),x89376)) % 186.59/186.36 [9438]~P23(x94382,x94381,x94385,x94384,x94383)+E(f862(f86(x94381,x94382,x94383,f86(x94382,x94381,x94384,x94385)),x94386),f862(x94385,x94386))+~P1(f862(f862(f321(x94382),x94386),x94384)) % 186.59/186.36 [9449]~P22(x94491,x94492,x94493,x94496)+P22(x94491,x94492,f68(x94491,x94492,x94493,x94494,x94495),x94496)+P1(f862(f862(f321(x94492),x94495),f862(f302(x94491,x94492,x94493),x94496))) % 186.59/186.36 [9573]~P54(x95736,x95735,x95731,x95734,x95733)+E(f862(x95731,f915(x95732,x95733,x95734,x95731,x95735)),x95732)+~P1(f862(f862(f321(x95735),x95732),x95733)) % 186.59/186.36 [9764]E(x97641,x97642)+E(f862(f182(f925(x97643)),x97644),f862(f182(f925(x97643)),x97645))+~P1(f862(f862(f321(f931(f925(x97643),f925(x97643))),f862(f862(f244(f925(x97643),f925(x97643)),f862(f862(f144(x97643),x97641),x97644)),f862(f862(f144(x97643),x97642),x97645))),f138(x97643,x97646))) % 186.59/186.36 [9827]~P14(x98271,x98272,x98273)+E(f862(f862(f57(x98271,x98272,x98273),x98274),x98275),x98276)+~P1(f862(f59(x98271,x98272,x98273,x98274,x98275),x98276)) % 186.59/186.36 [9835]E(f862(f182(f925(x98351)),x98352),f862(f182(f925(x98351)),x98353))+P1(f862(f862(f321(f931(f925(x98351),f925(x98351))),f862(f862(f244(f925(x98351),f925(x98351)),x98352),x98353)),f138(x98351,x98354)))+~P1(f862(f862(f321(f931(f925(x98351),f925(x98351))),f862(f862(f244(f925(x98351),f925(x98351)),f862(f862(f144(x98351),x98355),x98352)),f862(f862(f144(x98351),x98356),x98353))),f138(x98351,x98354))) % 186.59/186.36 [9856]~P1(f862(f862(f321(f931(x98561,x98561)),f862(f862(f244(x98561,x98561),x98562),x98564)),f299(x98561,x98566)))+P1(f862(f862(f321(f931(f925(x98561),f925(x98561))),f862(f862(f244(f925(x98561),f925(x98561)),f862(f862(f144(x98561),x98562),x98563)),f862(f862(f144(x98561),x98564),x98565))),f299(f925(x98561),f150(x98561,x98566))))+~P1(f862(f862(f321(f931(f925(x98561),f925(x98561))),f862(f862(f244(f925(x98561),f925(x98561)),x98563),x98565)),f299(f925(x98561),f150(x98561,x98566)))) % 186.59/186.36 [10035]~P1(f862(x100352,x100356))+~E(f862(f129(x100351,x100352),x100353),f862(f862(f144(x100351),x100354),x100355))+~P1(f862(f862(f321(x100351),x100356),f862(f165(x100351),f753(x100355,x100354,x100353,x100352,x100351)))) % 186.59/186.36 [10036]~P1(f862(x100364,x100366))+~E(f862(f862(f144(x100361),x100362),x100363),f862(f129(x100361,x100364),x100365))+~P1(f862(f862(f321(x100361),x100366),f862(f165(x100361),f750(x100365,x100364,x100363,x100362,x100361)))) % 186.59/186.36 [10357]~P72(x103572)+E(f862(f862(f8(x103571,x103572),f862(f862(f10(f932(x103573,a921),x103572,x103571),f862(f8(x103573,x103572),x103574)),f862(f862(f10(f932(x103573,a921),f932(x103573,a921),x103571),f254(x103573)),f862(f862(f10(f932(x103573,a921),f932(x103573,a921),x103571),f862(f20(x103573,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103573),a318),f862(f862(f9(x103573,f932(x103573,a921),a921),f321(x103573)),x103575)))),f862(f9(x103573,x103571,a921),f862(f862(f10(x103571,f932(x103571,a921),x103573),a317),x103576)))))),f862(f302(x103573,x103571,x103576),x103575)),f862(f862(f8(x103573,x103572),x103574),x103575))+~P1(f862(f54(x103573),x103575)) % 186.59/186.36 [7066]~P109(x70663)+P1(f862(x70662,x70665))+E(f862(f129(x70661,x70662),f862(f862(f141(x70661,x70663,x70664),x70665),x70666)),f862(f129(x70661,x70662),x70666)) % 186.59/186.36 [7068]P1(f862(x70681,x70682))+~E(f159(x70683,x70681,x70684),f862(f862(f244(f925(x70683),f925(x70683)),x70685),x70686))+~P1(f862(f862(f321(x70683),x70682),f862(f165(x70683),x70685))) % 186.59/186.36 [7113]~P1(f862(x71132,x71136))+~E(f159(x71131,x71132,x71133),f862(f862(f244(f925(x71131),f925(x71131)),x71134),x71135))+~P1(f862(f862(f321(x71131),x71136),f862(f165(x71131),x71135))) % 186.59/186.36 [7778]~P12(x77781,x77782,x77783)+~P1(f862(f54(x77781),x77786))+E(f862(f862(f57(x77781,x77782,x77783),x77784),f862(f862(f301(x77781),x77785),x77786)),f862(f862(f57(x77781,x77782,x77783),f862(f862(x77783,x77785),x77784)),x77786)) % 186.59/186.36 [7831]~P109(x78312)+~P1(f862(f862(f227(x78312),f862(x78313,x78314)),f862(x78313,x78315)))+E(f862(f862(f141(x78311,x78312,x78313),x78314),f862(f862(f144(x78311),x78315),x78316)),f862(f862(f144(x78311),x78314),f862(f862(f144(x78311),x78315),x78316))) % 186.59/186.36 [7944]E(x79441,x79442)+~E(f862(f862(f246(x79443,x79444),x79441),f862(f18(f932(x79444,a921),x79443),x79445)),f862(f862(f246(x79443,x79444),x79442),f862(f18(f932(x79444,a921),x79443),x79445)))+~P1(f862(f862(f321(x79444),x79446),x79445)) % 186.59/186.36 [8009]~P12(x80091,x80092,x80093)+~P1(f862(f54(x80091),x80096))+E(f862(f862(f57(x80091,x80092,x80093),x80094),f862(f862(f301(x80091),x80095),x80096)),f862(f862(x80093,x80095),f862(f862(f57(x80091,x80092,x80093),x80094),x80096))) % 186.59/186.36 [8129]~P14(x81291,x81292,x81293)+~P1(f862(f54(x81291),x81296))+E(f862(f862(f57(x81291,x81292,x81293),f862(f862(x81293,x81294),x81295)),x81296),f862(f862(x81293,x81294),f862(f862(f57(x81291,x81292,x81293),x81295),x81296))) % 186.59/186.36 [8200]~P18(x82002,x82005,x82006,x82001)+~P1(f862(f54(x82002),x82004))+E(f862(x82001,f862(f862(f301(x82002),x82003),x82004)),f862(f66(x82005,x82005,x82005,f862(x82001,x82004)),f862(x82006,x82003))) % 186.59/186.36 [8232]~P109(x82322)+P1(f862(f862(f227(x82322),f862(x82323,x82324)),f862(x82323,x82325)))+E(f862(f862(f141(x82321,x82322,x82323),x82324),f862(f862(f144(x82321),x82325),x82326)),f862(f862(f144(x82321),x82325),f862(f862(f141(x82321,x82322,x82323),x82324),x82326))) % 186.59/186.36 [8377]~E(f862(f182(f925(x83771)),x83775),f862(f182(f925(x83772)),x83776))+~E(f862(f182(f925(x83771)),x83773),f862(f182(f925(x83772)),x83774))+E(f862(f862(f127(f931(x83771,x83772)),f862(f862(f174(x83771,x83772),x83773),x83774)),f862(f862(f174(x83771,x83772),x83775),x83776)),f862(f862(f174(x83771,x83772),f862(f862(f127(x83771),x83773),x83775)),f862(f862(f127(x83772),x83774),x83776))) % 186.59/186.36 [8488]~E(x84882,f862(f302(x84883,x84881,x84884),x84886))+P1(f862(f862(f227(f932(x84881,a921)),x84882),f862(f302(x84883,x84881,x84884),x84885)))+~P1(f862(f862(f227(f932(x84883,a921)),x84886),x84885)) % 186.59/186.36 [8589]~P109(x85895)+E(f862(x85891,x85892),f862(x85891,x85893))+E(f862(f862(f141(x85894,x85895,x85891),x85892),f862(f862(f141(x85894,x85895,x85891),x85893),x85896)),f862(f862(f141(x85894,x85895,x85891),x85893),f862(f862(f141(x85894,x85895,x85891),x85892),x85896))) % 186.59/186.36 [8766]~P1(f862(f862(f321(x87662),x87664),f862(x87666,x87663)))+~P1(f862(f862(f321(x87661),x87663),x87665))+P1(f862(f862(f321(f931(x87661,x87662)),f862(f862(f244(x87661,x87662),x87663),x87664)),f862(f862(f246(x87661,x87662),x87665),x87666))) % 186.59/186.36 [9243]~P72(x92432)+~P22(x92434,x92431,x92435,x92436)+E(f862(f862(f8(x92431,x92432),x92433),f862(f302(x92434,x92431,x92435),x92436)),f862(f862(f8(x92434,x92432),f862(f66(x92431,x92432,x92434,x92433),x92435)),x92436)) % 186.59/186.36 [9244]~P71(x92442)+~P22(x92444,x92441,x92445,x92446)+E(f862(f862(f11(x92441,x92442),x92443),f862(f302(x92444,x92441,x92445),x92446)),f862(f862(f11(x92444,x92442),f862(f66(x92441,x92442,x92444,x92443),x92445)),x92446)) % 186.59/186.36 [9292]~P32(x92922,x92925,x92921,x92923,x92926)+P1(f862(f862(x92921,f862(f862(f157(x92922),x92923),x92924)),f862(f862(f157(x92925),x92926),x92924)))+~P1(f862(f862(f228(a924),x92924),f862(f182(f925(x92925)),x92926))) % 186.59/186.36 [9293]~P32(x92932,x92935,x92931,x92933,x92936)+P1(f862(f862(x92931,f862(f862(f157(x92932),x92933),x92934)),f862(f862(f157(x92935),x92936),x92934)))+~P1(f862(f862(f228(a924),x92934),f862(f182(f925(x92932)),x92933))) % 186.59/186.36 [9304]~E(f862(f302(x93041,x93042,x93043),x93044),x93046)+E(f862(f302(x93041,x93042,x93043),f862(f302(x93042,x93041,f86(x93041,x93042,x93044,x93043)),x93045)),x93045)+~P1(f862(f862(f227(f932(x93042,a921)),x93045),x93046)) % 186.59/186.36 [9508]~P17(x95083,x95081,x95086,x95082)+~P1(f862(f54(x95083),x95084))+E(f862(f66(x95081,x95081,x95081,f862(x95082,f862(f862(f3(f932(x95083,a921)),x95084),f862(f862(f301(x95083),x95085),f181(f932(x95083,a921)))))),f862(x95086,x95085)),f862(x95082,f862(f862(f301(x95083),x95085),x95084))) % 186.59/186.36 [10125]~E(f862(f302(x101252,x101254,x101256),f234(f932(x101252,a921))),f234(f932(x101254,a921)))+~E(f862(f302(x101251,x101253,x101255),f234(f932(x101251,a921))),f234(f932(x101253,a921)))+E(f862(f302(f931(x101251,x101252),f931(x101253,x101254),f250(x101251,x101253,x101252,x101254,x101255,x101256)),f234(f932(f931(x101251,x101252),a921))),f234(f932(f931(x101253,x101254),a921))) % 186.59/186.36 [10182]~P22(x101823,x101824,x101825,f862(x101826,f586(x101826,x101825,x101824,x101823,x101822,x101821)))+P22(x101823,x101824,x101825,f862(f862(f32(x101822,f932(x101823,a921)),x101821),x101826))+E(x101821,f181(f932(x101822,a921))) % 186.59/186.36 [10240]P22(x102406,x102405,x102404,f862(f862(f32(x102402,f932(x102406,a921)),x102401),x102403))+E(x102401,f181(f932(x102402,a921)))+P1(f862(f862(f321(x102402),f586(x102403,x102404,x102405,x102406,x102402,x102401)),x102401)) % 186.59/186.36 [10246]P1(f862(f862(f321(x102461),f613(x102462,x102463,x102464,x102465,x102466,x102461)),x102466))+P1(f862(f862(f227(f932(f931(x102461,x102464),a921)),f862(f862(f246(x102461,x102464),x102466),x102463)),f862(f862(f246(x102461,x102464),x102465),x102462)))+~P1(f862(f862(f227(f932(x102461,a921)),x102466),x102465)) % 186.59/186.36 [10371]~P1(f862(f862(f227(f932(x103712,a921)),f862(x103714,f613(x103716,x103714,x103712,x103715,x103713,x103711))),f862(x103716,f613(x103716,x103714,x103712,x103715,x103713,x103711))))+~P1(f862(f862(f227(f932(x103711,a921)),x103713),x103715))+P1(f862(f862(f227(f932(f931(x103711,x103712),a921)),f862(f862(f246(x103711,x103712),x103713),x103714)),f862(f862(f246(x103711,x103712),x103715),x103716))) % 186.59/186.36 [7966]~P1(f862(x79661,x79665))+~P1(f862(x79666,x79664))+P1(f862(x79661,f862(f248(x79662,x79663),f862(f862(f244(x79662,x79663),x79664),x79665)))) % 186.59/186.36 [7967]~P1(f862(x79671,x79674))+~P1(f862(x79676,x79675))+P1(f862(x79671,f862(f243(x79672,x79673),f862(f862(f244(x79672,x79673),x79674),x79675)))) % 186.59/186.36 [8015]~P1(f862(f862(x80154,x80156),x80155))+~P1(f862(f862(f321(x80151),x80156),x80153))+P1(f862(f862(f862(f33(x80151,f932(x80152,a921)),x80153),x80154),x80155)) % 186.59/186.36 [8326]~P1(f862(f862(f321(x83261),x83262),f862(x83265,x83266)))+~P1(f862(f862(f321(x83263),x83266),x83264))+P1(f862(f862(f321(x83261),x83262),f862(f862(f33(x83263,f932(x83261,a921)),x83264),x83265))) % 186.59/186.36 [8370]P1(f862(f862(x83701,x83702),x83703))+~P1(f862(f862(x83704,x83702),x83703))+~P1(f862(f862(f227(f932(x83705,f932(x83706,a921))),x83704),x83701)) % 186.59/186.36 [8511]P1(f862(f862(x85111,x85112),x85113))+~P1(f862(f862(f321(x85114),x85112),x85115))+~P1(f862(f862(f862(f32(x85114,f932(x85116,a921)),x85115),x85111),x85113)) % 186.59/186.36 [8646]P1(f862(f862(f321(x86461),x86462),f862(x86463,x86464)))+~P1(f862(f862(f321(x86465),x86464),x86466))+~P1(f862(f862(f321(x86461),x86462),f862(f862(f32(x86465,f932(x86461,a921)),x86466),x86463))) % 186.59/186.36 [8916]~P9(x89164,x89165,x89166,x89161)+E(f862(x89161,x89162),f862(x89161,x89163))+~P1(f862(f862(f321(f931(x89164,x89164)),f862(f862(f244(x89164,x89164),x89162),x89163)),x89166)) % 186.59/186.36 [8951]P1(f862(f862(f227(f932(x89511,a921)),x89512),f862(x89513,x89514)))+~P1(f862(f862(f321(x89515),x89514),x89516))+~P1(f862(f862(f227(f932(x89511,a921)),x89512),f862(f862(f32(x89515,f932(x89511,a921)),x89516),x89513))) % 186.59/186.36 [8984]~P52(x89843,x89844,f862(f277(x89844,x89843),x89845))+E(x89841,f181(f932(x89842,a921)))+E(f862(f862(f32(x89842,f932(x89843,a921)),x89841),f862(f862(f10(f932(x89844,a921),f932(x89843,a921),x89842),f276(x89844,x89843,x89845)),x89846)),f862(f276(x89844,x89843,x89845),f862(f862(f32(x89842,f932(x89844,a921)),x89841),x89846))) % 186.59/186.36 [9064]P1(f862(f862(f321(x90641),x90642),f862(f276(x90643,x90641,x90644),x90645)))+~P1(f862(f862(f321(x90643),x90646),x90645))+~P1(f862(f862(f321(f931(x90643,x90641)),f862(f862(f244(x90643,x90641),x90646),x90642)),x90644)) % 186.59/186.36 [9370]P1(f862(f862(f227(f932(x93701,a921)),f862(f276(x93702,x93701,x93703),x93704)),f862(f276(x93702,x93701,x93705),x93706)))+~P1(f862(f862(f227(f932(x93702,a921)),x93704),x93706))+~P1(f862(f862(f227(f932(f931(x93702,x93701),a921)),x93703),x93705)) % 186.59/186.36 [9558]~P1(f862(f862(f321(x95582),x95586),x95584))+~P1(f862(f862(f227(f932(x95581,a921)),x95583),x95585))+P1(f862(f862(f227(f932(f931(x95581,x95582),a921)),f862(f862(f246(x95581,x95582),x95583),f862(f18(f932(x95582,a921),x95581),x95584))),f862(f862(f246(x95581,x95582),x95585),f862(f18(f932(x95582,a921),x95581),x95584)))) % 186.59/186.36 [9571]~P32(x95711,x95712,x95713,x95715,x95716)+P1(f862(f862(f249(x95711,x95712,a921),x95713),x95714))+~P1(f862(f862(f321(f931(x95711,x95712)),x95714),f862(f165(f931(x95711,x95712)),f862(f862(f174(x95711,x95712),x95715),x95716)))) % 186.59/186.36 [9718]~E(x97183,x97185)+P1(f862(f862(f321(f931(f925(x97181),f925(x97181))),f862(f862(f244(f925(x97181),f925(x97181)),f862(f862(f144(x97181),x97182),x97183)),f862(f862(f144(x97181),x97184),x97185))),f150(x97181,x97186)))+~P1(f862(f862(f321(f931(x97181,x97181)),f862(f862(f244(x97181,x97181),x97182),x97184)),x97186)) % 186.59/186.36 [9724]~E(f862(f182(f925(x97241)),x97243),f862(f182(f925(x97241)),x97245))+P1(f862(f862(f321(f931(f925(x97241),f925(x97241))),f862(f862(f244(f925(x97241),f925(x97241)),f862(f862(f144(x97241),x97242),x97243)),f862(f862(f144(x97241),x97244),x97245))),f138(x97241,x97246)))+~P1(f862(f862(f321(f931(x97241,x97241)),f862(f862(f244(x97241,x97241),x97242),x97244)),x97246)) % 186.59/186.36 [9756]P1(f862(f862(f321(f931(x97561,x97561)),f862(f862(f244(x97561,x97561),x97562),x97563)),f862(f862(f176(f931(x97561,x97561),a921),f862(a105,x97564)),x97565)))+~P1(f862(f862(f321(f931(x97561,x97561)),f862(f862(f244(x97561,x97561),x97566),x97563)),x97565))+~P1(f862(f862(f321(f931(x97561,x97561)),f862(f862(f244(x97561,x97561),x97562),x97566)),f862(f862(f176(f931(x97561,x97561),a921),x97564),x97565))) % 186.59/186.36 [9757]P1(f862(f862(f321(f931(x97571,x97571)),f862(f862(f244(x97571,x97571),x97572),x97573)),f862(f862(f176(f931(x97571,x97571),a921),f862(a105,x97574)),x97575)))+~P1(f862(f862(f321(f931(x97571,x97571)),f862(f862(f244(x97571,x97571),x97572),x97576)),x97575))+~P1(f862(f862(f321(f931(x97571,x97571)),f862(f862(f244(x97571,x97571),x97576),x97573)),f862(f862(f176(f931(x97571,x97571),a921),x97574),x97575))) % 186.59/186.36 [9760]~P1(f862(f862(f321(x97604),x97605),x97606))+P1(f862(f862(f227(f932(x97601,a921)),x97602),x97603))+~P1(f862(f862(f227(f932(f931(x97601,x97604),a921)),f862(f862(f246(x97601,x97604),x97602),f862(f18(f932(x97604,a921),x97601),x97606))),f862(f862(f246(x97601,x97604),x97603),f862(f18(f932(x97604,a921),x97601),x97606)))) % 186.59/186.36 [9805]E(x98051,x98052)+~P1(f862(f862(f321(f931(f925(x98053),f925(x98053))),f862(f862(f244(f925(x98053),f925(x98053)),f862(f862(f144(x98053),x98051),x98055)),f862(f862(f144(x98053),x98052),x98056))),f138(x98053,x98054)))+P1(f862(f862(f321(f931(x98053,x98053)),f862(f862(f244(x98053,x98053),x98051),x98052)),x98054)) % 186.59/186.36 [9806]E(x98061,x98062)+~P1(f862(f862(f321(f931(f925(x98063),f925(x98063))),f862(f862(f244(f925(x98063),f925(x98063)),f862(f862(f144(x98063),x98061),x98065)),f862(f862(f144(x98063),x98062),x98066))),f140(x98063,x98064)))+P1(f862(f862(f321(f931(x98063,x98063)),f862(f862(f244(x98063,x98063),x98061),x98062)),x98064)) % 186.59/186.36 [9807]E(x98071,x98072)+~P1(f862(f862(f321(f931(f925(x98073),f925(x98073))),f862(f862(f244(f925(x98073),f925(x98073)),f862(f862(f144(x98073),x98071),x98075)),f862(f862(f144(x98073),x98072),x98076))),f150(x98073,x98074)))+P1(f862(f862(f321(f931(x98073,x98073)),f862(f862(f244(x98073,x98073),x98071),x98072)),x98074)) % 186.59/186.36 [9843]P1(f862(f862(f321(f931(f925(x98431),f925(x98431))),f862(f862(f244(f925(x98431),f925(x98431)),f862(f862(f144(x98431),x98432),x98433)),f862(f862(f144(x98431),x98434),x98435))),f151(x98431,x98436)))+~P1(f862(f862(f321(f931(f925(x98431),f925(x98431))),f862(f862(f244(f925(x98431),f925(x98431)),x98433),x98435)),f151(x98431,x98436)))+~P1(f862(f862(f321(f931(x98431,x98431)),f862(f862(f244(x98431,x98431),x98432),x98434)),x98436)) % 186.59/186.36 [9860]P1(f862(x98601,x98602))+~P1(f862(x98601,f887(x98601,x98603,x98604,x98605,x98606)))+~P1(f862(f862(f321(x98606),x98602),f862(f862(f33(x98605,f932(x98606,a921)),x98604),x98603))) % 186.59/186.36 [9865]~P1(f862(f862(f321(f931(f925(x98651),f925(x98651))),f862(f862(f244(f925(x98651),f925(x98651)),f862(f862(f144(x98651),x98652),x98655)),f862(f862(f144(x98651),x98653),x98656))),f138(x98651,x98654)))+P1(f862(f862(f321(f931(f925(x98651),f925(x98651))),f862(f862(f244(f925(x98651),f925(x98651)),x98655),x98656)),f138(x98651,x98654)))+P1(f862(f862(f321(f931(x98651,x98651)),f862(f862(f244(x98651,x98651),x98652),x98653)),x98654)) % 186.59/186.36 [9866]~P1(f862(f862(f321(f931(f925(x98661),f925(x98661))),f862(f862(f244(f925(x98661),f925(x98661)),f862(f862(f144(x98661),x98662),x98665)),f862(f862(f144(x98661),x98663),x98666))),f140(x98661,x98664)))+P1(f862(f862(f321(f931(f925(x98661),f925(x98661))),f862(f862(f244(f925(x98661),f925(x98661)),x98665),x98666)),f140(x98661,x98664)))+P1(f862(f862(f321(f931(x98661,x98661)),f862(f862(f244(x98661,x98661),x98662),x98663)),x98664)) % 186.59/186.36 [9867]~P1(f862(f862(f321(f931(f925(x98671),f925(x98671))),f862(f862(f244(f925(x98671),f925(x98671)),f862(f862(f144(x98671),x98672),x98675)),f862(f862(f144(x98671),x98673),x98676))),f150(x98671,x98674)))+P1(f862(f862(f321(f931(f925(x98671),f925(x98671))),f862(f862(f244(f925(x98671),f925(x98671)),x98675),x98676)),f150(x98671,x98674)))+P1(f862(f862(f321(f931(x98671,x98671)),f862(f862(f244(x98671,x98671),x98672),x98673)),x98674)) % 186.59/186.36 [9956]P1(f862(x99561,x99562))+P1(f862(f862(f321(x99563),f888(x99561,x99564,x99565,x99563,x99566)),x99565))+~P1(f862(f862(f321(x99566),x99562),f862(f862(f33(x99563,f932(x99566,a921)),x99565),x99564))) % 186.59/186.36 [9967]~E(x99672,x99674)+P1(f862(f862(f321(f931(f925(x99671),f925(x99671))),f862(f862(f244(f925(x99671),f925(x99671)),f862(f862(f127(x99671),x99672),f862(f862(f144(x99671),x99673),f106(x99671)))),f862(f862(f127(x99671),x99674),f862(f862(f144(x99671),x99675),f106(x99671))))),f150(x99671,x99676)))+~P1(f862(f862(f321(f931(x99671,x99671)),f862(f862(f244(x99671,x99671),x99673),x99675)),x99676)) % 186.59/186.36 [10043]E(x100431,x100432)+~P1(f862(f862(f321(f931(f925(x100433),f925(x100433))),f862(f862(f244(f925(x100433),f925(x100433)),f862(f862(f127(x100433),x100435),f862(f862(f144(x100433),x100431),f106(x100433)))),f862(f862(f127(x100433),x100436),f862(f862(f144(x100433),x100432),f106(x100433))))),f150(x100433,x100434)))+P1(f862(f862(f321(f931(x100433,x100433)),f862(f862(f244(x100433,x100433),x100431),x100432)),x100434)) % 186.59/186.36 [10074]~P1(f862(f862(f321(f931(f925(x100741),f925(x100741))),f862(f862(f244(f925(x100741),f925(x100741)),f862(f862(f127(x100741),x100745),f862(f862(f144(x100741),x100742),f106(x100741)))),f862(f862(f127(x100741),x100746),f862(f862(f144(x100741),x100743),f106(x100741))))),f150(x100741,x100744)))+P1(f862(f862(f321(f931(f925(x100741),f925(x100741))),f862(f862(f244(f925(x100741),f925(x100741)),x100745),x100746)),f150(x100741,x100744)))+P1(f862(f862(f321(f931(x100741,x100741)),f862(f862(f244(x100741,x100741),x100742),x100743)),x100744)) % 186.59/186.36 [10096]P1(f862(x100961,x100962))+P1(f862(f862(f321(x100963),f887(x100961,x100964,x100965,x100966,x100963)),f862(x100964,f888(x100961,x100964,x100965,x100966,x100963))))+~P1(f862(f862(f321(x100963),x100962),f862(f862(f33(x100966,f932(x100963,a921)),x100965),x100964))) % 186.59/186.36 [10250]P1(f862(f862(f321(x102501),f842(x102502,x102503,x102504,x102505,x102506,x102501)),x102505))+~P1(f862(f862(f227(f932(x102501,a921)),x102506),x102505))+P1(f862(f862(f227(f932(x102504,a921)),f862(f862(f32(x102501,f932(x102504,a921)),x102505),x102503)),f862(f862(f32(x102501,f932(x102504,a921)),x102505),x102502))) % 186.59/186.36 [10372]~P1(f862(f862(f227(f932(x103721,a921)),f862(x103724,f842(x103725,x103724,x103721,x103723,x103726,x103722))),f862(x103725,f842(x103725,x103724,x103721,x103723,x103726,x103722))))+~P1(f862(f862(f227(f932(x103722,a921)),x103726),x103723))+P1(f862(f862(f227(f932(x103721,a921)),f862(f862(f32(x103722,f932(x103721,a921)),x103723),x103724)),f862(f862(f32(x103722,f932(x103721,a921)),x103723),x103725))) % 186.59/186.36 [9084]~P14(x90843,x90844,x90841)+~P1(f862(f54(x90843),x90846))+E(f862(f862(x90841,x90842),f862(f862(f57(x90843,x90844,x90841),x90845),f862(f862(f3(f932(x90843,a921)),x90846),f862(f862(f301(x90843),x90842),f181(f932(x90843,a921)))))),f862(f862(f57(x90843,x90844,x90841),x90845),f862(f862(f301(x90843),x90842),x90846))) % 186.59/186.36 [9379]~P1(f862(f862(f321(x93795),x93793),x93796))+P1(f862(f862(f227(f932(x93791,a921)),f862(x93792,x93793)),x93794))+~P1(f862(f862(f227(f932(x93791,a921)),f862(f862(f33(x93795,f932(x93791,a921)),x93796),x93792)),x93794)) % 186.59/186.36 [10018]~P6(x100181,x100185,x100184)+P1(f862(f862(f321(f931(x100181,x100181)),f862(f862(f244(x100181,x100181),x100182),x100183)),x100184))+~P1(f862(f862(f321(x100181),x100186),f862(f862(f94(f932(x100181,a921)),f862(f276(x100181,x100181,x100184),f862(f862(f301(x100181),x100182),f181(f932(x100181,a921))))),f862(f276(x100181,x100181,x100184),f862(f862(f301(x100181),x100183),f181(f932(x100181,a921))))))) % 186.59/186.36 [8803]~P125(x88032)+~E(f862(f862(f73(x88032),f862(f862(f74(x88032),x88034),x88035)),x88031),f862(f862(f73(x88032),f862(f862(f74(x88032),x88033),x88035)),x88036))+E(x88031,f862(f862(f73(x88032),f862(f862(f74(x88032),f862(f862(f3(x88032),x88033),x88034)),x88035)),x88036)) % 186.59/186.36 [8804]~P125(x88041)+~E(f862(f862(f73(x88041),f862(f862(f74(x88041),x88042),x88044)),x88045),f862(f862(f73(x88041),f862(f862(f74(x88041),x88043),x88044)),x88046))+E(f862(f862(f73(x88041),f862(f862(f74(x88041),f862(f862(f3(x88041),x88042),x88043)),x88044)),x88045),x88046) % 186.59/186.36 [8987]~P125(x89871)+E(f862(f862(f73(x89871),f862(f862(f74(x89871),x89872),x89873)),x89874),f862(f862(f73(x89871),f862(f862(f74(x89871),x89875),x89873)),x89876))+~E(x89876,f862(f862(f73(x89871),f862(f862(f74(x89871),f862(f862(f3(x89871),x89872),x89875)),x89873)),x89874)) % 186.59/186.36 [8988]~P125(x89881)+E(f862(f862(f73(x89881),f862(f862(f74(x89881),x89882),x89883)),x89884),f862(f862(f73(x89881),f862(f862(f74(x89881),x89885),x89883)),x89886))+~E(f862(f862(f73(x89881),f862(f862(f74(x89881),f862(f862(f3(x89881),x89882),x89885)),x89883)),x89884),x89886) % 186.59/186.36 [9315]~P1(f862(f862(x93154,x93155),x93156))+~P1(f862(f862(x93153,x93155),x93156))+P1(f862(f862(f862(f862(f94(f932(x93151,f932(x93152,a921))),x93153),x93154),x93155),x93156)) % 186.59/186.36 [9581]P1(f862(f862(x95811,x95812),x95813))+P1(f862(f862(x95814,x95812),x95813))+~P1(f862(f862(f862(f862(f103(f932(x95815,f932(x95816,a921))),x95814),x95811),x95812),x95813)) % 186.59/186.36 [9880]~P126(x98801)+~P1(f862(f862(f227(x98801),f862(f862(f73(x98801),f862(f862(f74(x98801),x98804),x98805)),x98802)),f862(f862(f73(x98801),f862(f862(f74(x98801),x98803),x98805)),x98806)))+P1(f862(f862(f227(x98801),x98802),f862(f862(f73(x98801),f862(f862(f74(x98801),f862(f862(f3(x98801),x98803),x98804)),x98805)),x98806))) % 186.59/186.36 [9881]~P126(x98811)+~P1(f862(f862(f228(x98811),f862(f862(f73(x98811),f862(f862(f74(x98811),x98814),x98815)),x98812)),f862(f862(f73(x98811),f862(f862(f74(x98811),x98813),x98815)),x98816)))+P1(f862(f862(f228(x98811),x98812),f862(f862(f73(x98811),f862(f862(f74(x98811),f862(f862(f3(x98811),x98813),x98814)),x98815)),x98816))) % 186.59/186.36 [9905]~P126(x99051)+P1(f862(f862(f227(x99051),f862(f862(f73(x99051),f862(f862(f74(x99051),x99052),x99053)),x99054)),f862(f862(f73(x99051),f862(f862(f74(x99051),x99055),x99053)),x99056)))+~P1(f862(f862(f227(x99051),x99054),f862(f862(f73(x99051),f862(f862(f74(x99051),f862(f862(f3(x99051),x99055),x99052)),x99053)),x99056))) % 186.59/186.36 [9906]~P126(x99061)+P1(f862(f862(f228(x99061),f862(f862(f73(x99061),f862(f862(f74(x99061),x99062),x99063)),x99064)),f862(f862(f73(x99061),f862(f862(f74(x99061),x99065),x99063)),x99066)))+~P1(f862(f862(f228(x99061),x99064),f862(f862(f73(x99061),f862(f862(f74(x99061),f862(f862(f3(x99061),x99065),x99062)),x99063)),x99066))) % 186.59/186.36 [10010]~P126(x100101)+~P1(f862(f862(f227(x100101),f862(f862(f73(x100101),f862(f862(f74(x100101),x100102),x100104)),x100105)),f862(f862(f73(x100101),f862(f862(f74(x100101),x100103),x100104)),x100106)))+P1(f862(f862(f227(x100101),f862(f862(f73(x100101),f862(f862(f74(x100101),f862(f862(f3(x100101),x100102),x100103)),x100104)),x100105)),x100106)) % 186.59/186.36 [10011]~P126(x100111)+~P1(f862(f862(f228(x100111),f862(f862(f73(x100111),f862(f862(f74(x100111),x100112),x100114)),x100115)),f862(f862(f73(x100111),f862(f862(f74(x100111),x100113),x100114)),x100116)))+P1(f862(f862(f228(x100111),f862(f862(f73(x100111),f862(f862(f74(x100111),f862(f862(f3(x100111),x100112),x100113)),x100114)),x100115)),x100116)) % 186.59/186.36 [10057]~P126(x100571)+P1(f862(f862(f227(x100571),f862(f862(f73(x100571),f862(f862(f74(x100571),x100572),x100573)),x100574)),f862(f862(f73(x100571),f862(f862(f74(x100571),x100575),x100573)),x100576)))+~P1(f862(f862(f227(x100571),f862(f862(f73(x100571),f862(f862(f74(x100571),f862(f862(f3(x100571),x100572),x100575)),x100573)),x100574)),x100576)) % 186.59/186.36 [10058]~P126(x100581)+P1(f862(f862(f228(x100581),f862(f862(f73(x100581),f862(f862(f74(x100581),x100582),x100583)),x100584)),f862(f862(f73(x100581),f862(f862(f74(x100581),x100585),x100583)),x100586)))+~P1(f862(f862(f228(x100581),f862(f862(f73(x100581),f862(f862(f74(x100581),f862(f862(f3(x100581),x100582),x100585)),x100583)),x100584)),x100586)) % 186.59/186.36 [10234]~P72(x102342)+~P1(f862(f54(x102341),x102346))+E(f862(f862(f8(x102341,x102342),f862(f862(f20(x102341,x102342,x102342),f862(f862(f20(x102341,x102342,f932(x102342,x102342)),f862(f862(f10(a921,f932(x102342,f932(x102342,x102342)),x102341),f89(x102342)),x102343)),x102344)),x102345)),x102346),f862(f862(f73(x102342),f862(f862(f8(x102341,x102342),x102344),f862(f862(f94(f932(x102341,a921)),x102346),f862(f254(x102341),x102343)))),f862(f862(f8(x102341,x102342),x102345),f862(f862(f94(f932(x102341,a921)),x102346),f862(f72(f932(x102341,a921)),f862(f254(x102341),x102343)))))) % 186.59/186.36 [10297]P1(f862(f862(f321(x102972),x102974),x102976))+P1(f862(f862(f321(x102972),x102975),x102976))+E(f862(f303(x102971,x102972,f862(f862(f9(x102971,x102972,x102972),f862(f862(f9(x102971,x102972,f932(x102972,x102972)),f862(f862(f10(a921,f932(x102972,f932(x102972,x102972)),x102971),f89(x102972)),f862(f862(f9(x102971,f932(x102971,a921),a921),f321(x102971)),x102973))),x102974)),x102975)),x102976),f181(f932(x102971,a921))) % 186.59/186.36 [10298]P1(f862(f862(f321(x102982),x102985),x102986))+~P1(f862(f862(f321(x102982),x102984),x102986))+E(f862(f303(x102981,x102982,f862(f862(f9(x102981,x102982,x102982),f862(f862(f9(x102981,x102982,f932(x102982,x102982)),f862(f862(f10(a921,f932(x102982,f932(x102982,x102982)),x102981),f89(x102982)),f862(f862(f9(x102981,f932(x102981,a921),a921),f321(x102981)),x102983))),x102984)),x102985)),x102986),x102983) % 186.59/186.36 [10299]P1(f862(f862(f321(x102992),x102994),x102996))+~P1(f862(f862(f321(x102992),x102995),x102996))+E(f862(f303(x102991,x102992,f862(f862(f9(x102991,x102992,x102992),f862(f862(f9(x102991,x102992,f932(x102992,x102992)),f862(f862(f10(a921,f932(x102992,f932(x102992,x102992)),x102991),f89(x102992)),f862(f862(f9(x102991,f932(x102991,a921),a921),f321(x102991)),x102993))),x102994)),x102995)),x102996),f862(f72(f932(x102991,a921)),x102993)) % 186.59/186.36 [10300]~P1(f862(f862(f321(x103002),x103004),x103006))+~P1(f862(f862(f321(x103002),x103005),x103006))+E(f862(f303(x103001,x103002,f862(f862(f9(x103001,x103002,x103002),f862(f862(f9(x103001,x103002,f932(x103002,x103002)),f862(f862(f10(a921,f932(x103002,f932(x103002,x103002)),x103001),f89(x103002)),f862(f862(f9(x103001,f932(x103001,a921),a921),f321(x103001)),x103003))),x103004)),x103005)),x103006),f234(f932(x103001,a921))) % 186.59/186.36 [8836]E(x88361,x88362)+~P54(x88364,x88365,x88363,x88366,x88367)+~E(f862(x88363,x88361),f862(x88363,x88362)) % 186.59/186.36 [8865]~P8(x88656,x88655,x88657,x88654,x88651)+E(f862(f862(x88651,x88652),x88653),x88654)+P1(f862(f54(x88655),x88653)) % 186.59/186.36 [9747]P40(x97471,x97472,x97473,x97474,x97475,f862(f862(x97473,x97476),x97477))+~E(f862(f862(x97473,x97476),x97477),x97474)+~E(x97475,f181(f932(x97471,a921))) % 186.59/186.36 [9927]~P1(f862(x99276,x99273))+~P1(f862(f862(f321(f931(x99272,x99272)),f862(f862(f244(x99272,x99272),x99274),x99275)),f862(x99277,x99273)))+P1(f862(f862(f321(f931(f931(x99271,x99272),f931(x99271,x99272))),f862(f862(f244(f931(x99271,x99272),f931(x99271,x99272)),f862(f862(f244(x99271,x99272),x99273),x99274)),f862(f862(f244(x99271,x99272),x99273),x99275))),f272(x99271,x99272,x99276,x99277))) % 186.59/186.36 [10360]~P40(x103602,x103607,x103603,x103606,x103601,f862(f862(x103603,x103605),x103604))+E(f862(f862(x103603,f752(x103604,x103605,x103601,x103606,x103603,x103607,x103602)),f761(x103604,x103605,x103601,x103606,x103603,x103607,x103602)),f862(f862(x103603,x103605),x103604))+E(x103601,f181(f932(x103602,a921))) % 186.59/186.36 [10361]~P40(x103617,x103616,x103611,x103614,x103615,f862(f862(x103611,x103612),x103613))+E(f862(f862(x103611,f752(x103613,x103612,x103615,x103614,x103611,x103616,x103617)),f761(x103613,x103612,x103615,x103614,x103611,x103616,x103617)),f862(f862(x103611,x103612),x103613))+E(f862(f862(x103611,x103612),x103613),x103614) % 186.59/186.36 [9412]~P32(x94121,x94122,x94123,x94125,x94127)+P32(x94121,x94122,x94123,f862(f862(f144(x94121),x94124),x94125),f862(f862(f144(x94122),x94126),x94127))+~P1(f862(f862(x94123,x94124),x94126)) % 186.59/186.36 [9431]P32(x94311,x94312,x94313,x94314,x94315)+~P32(x94311,x94312,x94313,f862(f862(f127(x94311),x94316),x94314),f862(f862(f127(x94312),x94317),x94315))+~E(f862(f182(f925(x94311)),x94316),f862(f182(f925(x94312)),x94317)) % 186.59/186.36 [9432]P32(x94321,x94322,x94323,x94324,x94325)+~P32(x94321,x94322,x94323,f862(f862(f127(x94321),x94324),x94326),f862(f862(f127(x94322),x94325),x94327))+~E(f862(f182(f925(x94321)),x94324),f862(f182(f925(x94322)),x94325)) % 186.59/186.36 [9648]~P32(x96481,x96482,x96483,x96485,x96487)+~P32(x96481,x96482,x96483,x96484,x96486)+P32(x96481,x96482,x96483,f862(f862(f127(x96481),x96484),x96485),f862(f862(f127(x96482),x96486),x96487)) % 186.59/186.36 [10002]~P1(f862(f59(x100021,x100024,x100025,x100026,x100023),x100027))+P1(f862(f59(x100021,x100024,x100025,x100026,f862(f862(f301(x100021),x100022),x100023)),f862(f862(x100025,x100022),x100027)))+P1(f862(f862(f321(x100021),x100022),x100023)) % 186.59/186.36 [10245]~P54(x102457,x102453,x102456,x102455,x102454)+P1(f862(x102451,x102452))+P1(f862(f862(f321(x102453),f901(x102452,x102451,x102454,x102455,x102456,x102453)),x102454)) % 186.59/186.36 [10289]~P54(x102893,x102894,x102895,x102896,x102897)+P1(f862(x102891,x102892))+~P1(f862(x102891,f862(x102896,f901(x102892,x102891,x102897,x102896,x102895,x102894)))) % 186.59/186.36 [10388]~P40(x103882,x103887,x103886,x103885,x103881,f862(f862(x103886,x103884),x103883))+E(x103881,f181(f932(x103882,a921)))+P1(f862(f862(f321(x103882),f752(x103883,x103884,x103881,x103885,x103886,x103887,x103882)),x103881)) % 186.59/186.36 [10389]~P40(x103895,x103897,x103891,x103894,x103896,f862(f862(x103891,x103892),x103893))+E(f862(f862(x103891,x103892),x103893),x103894)+P1(f862(f862(f321(x103895),f752(x103893,x103892,x103896,x103894,x103891,x103897,x103895)),x103896)) % 186.59/186.36 [10476]E(f862(f862(f244(x104761,x104762),x104763),x104764),f862(f862(f244(x104761,x104762),x104765),x104766))+P1(f862(f862(f321(f931(f931(x104761,x104762),f931(x104761,x104762))),f862(f862(f244(f931(x104761,x104762),f931(x104761,x104762)),f862(f862(f244(x104761,x104762),f844(x104767,x104764,x104763,x104766,x104765,x104762,x104761)),f845(x104767,x104764,x104763,x104766,x104765,x104762,x104761))),f862(f862(f244(x104761,x104762),x104763),x104764))),f299(f931(x104761,x104762),x104767)))+~P1(f862(f862(f321(f931(f931(x104761,x104762),f931(x104761,x104762))),f862(f862(f244(f931(x104761,x104762),f931(x104761,x104762)),f862(f862(f244(x104761,x104762),x104765),x104766)),f862(f862(f244(x104761,x104762),x104763),x104764))),f299(f931(x104761,x104762),x104767))) % 186.59/186.36 [9109]~P19(x91094,x91095,x91096,x91097,x91091)+~P1(f862(f54(x91095),x91093))+E(f862(f862(x91091,x91092),x91093),f862(f862(f862(f58(x91094,x91095,x91096),x91092),x91097),x91093)) % 186.59/186.36 [9110]~P8(x91104,x91105,x91106,x91107,x91101)+~P1(f862(f54(x91105),x91103))+E(f862(f862(x91101,x91102),x91103),f862(f862(f862(f58(x91104,x91105,x91106),x91102),x91107),x91103)) % 186.59/186.36 [9899]~P21(x98993,x98994,x98995,x98997,x98996,x98991)+~P1(f862(f54(x98994),x98992))+E(f862(x98991,x98992),f862(f862(f862(f58(x98993,x98994,x98995),x98996),x98997),x98992)) % 186.59/186.36 [10052]P40(x100521,x100522,x100523,x100524,x100525,f862(f862(x100523,x100526),x100527))+~P40(x100521,x100522,x100523,x100524,f862(f862(f3(f932(x100521,a921)),x100525),f862(f862(f301(x100521),x100526),f181(f932(x100521,a921)))),x100527)+~P1(f862(f862(f321(x100521),x100526),x100525)) % 186.59/186.36 [10412]P1(f862(f862(x104127,f795(x104124,x104125,x104121,x104126,x104123,x104122,x104127)),f796(x104124,x104125,x104121,x104126,x104123,x104122,x104127)))+~P1(f862(f862(x104127,f862(f248(x104122,x104123),x104126)),f862(f243(x104122,x104123),x104126)))+P1(f862(x104121,f862(f862(f249(x104122,x104123,x104124),x104125),x104126))) % 186.59/186.36 [10422]~P40(x104222,x104223,x104224,x104225,x104221,f862(f862(x104224,x104227),x104226))+P40(x104222,x104223,x104224,x104225,f862(f862(f3(f932(x104222,a921)),x104221),f862(f862(f301(x104222),f752(x104226,x104227,x104221,x104225,x104224,x104223,x104222)),f181(f932(x104222,a921)))),f761(x104226,x104227,x104221,x104225,x104224,x104223,x104222))+E(x104221,f181(f932(x104222,a921))) % 186.59/186.36 [10423]~P40(x104235,x104236,x104231,x104234,x104237,f862(f862(x104231,x104232),x104233))+P40(x104235,x104236,x104231,x104234,f862(f862(f3(f932(x104235,a921)),x104237),f862(f862(f301(x104235),f752(x104233,x104232,x104237,x104234,x104231,x104236,x104235)),f181(f932(x104235,a921)))),f761(x104233,x104232,x104237,x104234,x104231,x104236,x104235))+E(f862(f862(x104231,x104232),x104233),x104234) % 186.59/186.36 [10443]~P1(f862(x104431,f862(f862(x104435,f796(x104434,x104435,x104431,x104436,x104433,x104432,x104437)),f795(x104434,x104435,x104431,x104436,x104433,x104432,x104437))))+~P1(f862(f862(x104437,f862(f248(x104432,x104433),x104436)),f862(f243(x104432,x104433),x104436)))+P1(f862(x104431,f862(f862(f249(x104432,x104433,x104434),x104435),x104436))) % 186.59/186.36 [9732]P1(f862(f862(f227(f932(f931(x97321,x97322),a921)),f862(f862(f280(x97321,x97323,x97322),x97324),x97325)),f862(f862(f280(x97321,x97323,x97322),x97326),x97327)))+~P1(f862(f862(f227(f932(f931(x97323,x97322),a921)),x97325),x97327))+~P1(f862(f862(f227(f932(f931(x97321,x97323),a921)),x97324),x97326)) % 186.59/186.36 [10470]E(f862(f862(f244(x104701,x104702),x104703),x104704),f862(f862(f244(x104701,x104702),x104705),x104706))+~P1(f862(f862(f321(f931(f931(x104701,x104702),f931(x104701,x104702))),f862(f862(f244(f931(x104701,x104702),f931(x104701,x104702)),f862(f862(f244(x104701,x104702),x104703),x104704)),f862(f862(f244(x104701,x104702),x104705),x104706))),f299(f931(x104701,x104702),x104707)))+P1(f862(f862(f321(f931(f931(x104701,x104702),f931(x104701,x104702))),f862(f862(f244(f931(x104701,x104702),f931(x104701,x104702)),f862(f862(f244(x104701,x104702),x104703),x104704)),f862(f862(f244(x104701,x104702),f844(x104707,x104706,x104705,x104704,x104703,x104702,x104701)),f845(x104707,x104706,x104705,x104704,x104703,x104702,x104701)))),x104707)) % 186.59/186.36 [10063]~P1(f862(f862(f321(x100631),x100636),x100635))+P1(f862(f59(x100631,x100632,x100633,x100634,x100635),f862(f862(x100633,x100636),x100637)))+~P1(f862(f59(x100631,x100632,x100633,x100634,f862(f862(f3(f932(x100631,a921)),x100635),f862(f862(f301(x100631),x100636),f181(f932(x100631,a921))))),x100637)) % 186.59/186.36 [10483]~P146(x104831)+~P22(f931(x104832,x104833),x104831,f862(f249(x104832,x104833,x104831),f862(f862(f9(x104832,f932(x104833,x104831),f932(x104833,x104831)),f862(f862(f10(f932(x104831,x104831),f932(f932(x104833,x104831),f932(x104833,x104831)),x104832),f10(x104831,x104831,x104833)),f862(f862(f10(x104831,f932(x104831,x104831),x104832),f74(x104831)),x104834))),x104835)),f862(f862(f246(x104832,x104833),x104836),f862(f18(f932(x104833,a921),x104832),x104837)))+E(f862(f862(f8(x104831,x104831),f25(x104831)),f862(f254(x104831),f862(f862(f10(f932(x104832,a921),a921,x104831),f80(x104832)),f862(f862(f10(f932(x104832,f932(x104833,a921)),f932(x104832,a921),x104831),f862(f10(f932(x104833,a921),a921,x104832),f80(x104833))),f862(f862(f9(x104831,f932(x104832,f932(x104833,a921)),f932(x104832,f932(x104833,a921))),f862(f862(f10(f932(x104832,f932(f932(x104833,a921),f932(x104833,a921))),f932(f932(x104832,f932(x104833,a921)),f932(x104832,f932(x104833,a921))),x104831),f20(x104832,f932(x104833,a921),f932(x104833,a921))),f862(f862(f10(f932(x104832,f932(x104833,f932(a921,a921))),f932(x104832,f932(f932(x104833,a921),f932(x104833,a921))),x104831),f862(f10(f932(x104833,f932(a921,a921)),f932(f932(x104833,a921),f932(x104833,a921)),x104832),f20(x104833,a921,a921))),f862(f862(f10(f932(x104832,f932(x104833,a921)),f932(x104832,f932(x104833,f932(a921,a921))),x104831),f862(f10(f932(x104833,a921),f932(x104833,f932(a921,a921)),x104832),f862(f10(a921,f932(a921,a921),x104833),a318))),f862(f862(f9(x104831,f932(x104832,f932(x104833,x104831)),f932(x104832,f932(x104833,a921))),f862(f862(f10(f932(f932(x104833,x104831),f932(x104833,a921)),f932(f932(x104832,f932(x104833,x104831)),f932(x104832,f932(x104833,a921))),x104831),f10(f932(x104833,x104831),f932(x104833,a921),x104832)),f862(f862(f10(f932(x104831,a921),f932(f932(x104833,x104831),f932(x104833,a921)),x104831),f10(x104831,a921,x104833)),a317))),f862(f862(f9(x104832,f932(x104833,x104831),f932(x104833,x104831)),f862(f862(f10(f932(x104831,x104831),f932(f932(x104833,x104831),f932(x104833,x104831)),x104832),f10(x104831,x104831,x104833)),f862(f862(f10(x104831,f932(x104831,x104831),x104832),f74(x104831)),x104834))),x104835)))))),f862(f862(f9(x104832,f932(x104833,a921),f932(x104833,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x104833,a921),f932(x104833,a921)),x104832),f10(a921,a921,x104833)),f862(f862(f10(a921,f932(a921,a921),x104832),a318),f862(f862(f9(x104832,f932(x104832,a921),a921),f321(x104832)),x104836)))),f862(f862(f9(x104833,f932(x104833,a921),a921),f321(x104833)),x104837))))))),f862(f862(f74(x104831),f862(f862(f8(x104832,x104831),x104834),x104836)),f862(f862(f8(x104833,x104831),x104835),x104837))) % 186.59/186.36 [9736]~P23(x97361,x97363,x97365,x97366,x97368)+~P23(x97363,x97362,x97364,x97368,x97367)+P23(x97361,x97362,f862(f66(x97363,x97362,x97361,x97364),x97365),x97366,x97367) % 186.59/186.36 [9765]P23(x97651,x97652,x97653,x97654,x97655)+~P23(x97656,x97651,x97657,x97658,x97654)+~P23(x97656,x97652,f862(f66(x97651,x97652,x97656,x97653),x97657),x97658,x97655) % 186.59/186.36 [9897]~P1(f862(f862(x98974,x98976),x98978))+~P1(f862(f862(x98975,x98978),x98977))+P1(f862(f862(f245(x98971,x98972,x98973,x98974,x98975),x98976),x98977)) % 186.59/186.36 [9485]~P17(x94858,x94851,x94853,x94855)+~P1(f862(f54(x94858),x94856))+E(f862(f66(x94851,x94851,x94852,f862(x94853,x94854)),f862(f66(x94851,x94851,x94852,f862(x94855,x94856)),x94857)),f862(f66(x94851,x94851,x94852,f862(x94855,x94856)),f862(f66(x94851,x94851,x94852,f862(x94853,x94854)),x94857))) % 186.59/186.36 [9887]~P20(x98877,x98872,x98875,x98878,x98876,x98871)+~P1(f862(f54(x98872),x98874))+E(f862(x98871,f862(f862(f301(x98872),x98873),x98874)),f862(f862(x98875,f862(x98876,x98873)),f862(x98871,x98874))) % 186.59/186.36 [10008]~P22(x100082,x100084,x100086,x100088)+~P22(x100081,x100083,x100085,x100087)+P22(f931(x100081,x100082),f931(x100083,x100084),f250(x100081,x100083,x100082,x100084,x100085,x100086),f862(f862(f246(x100081,x100082),x100087),f862(f18(f932(x100082,a921),x100081),x100088))) % 186.59/186.36 [9674]P1(f862(f862(f321(f931(x96741,x96742)),f862(f862(f244(x96741,x96742),x96743),x96744)),f862(f862(f280(x96741,x96745,x96742),x96746),x96747)))+~P1(f862(f862(f321(f931(x96741,x96745)),f862(f862(f244(x96741,x96745),x96743),x96748)),x96746))+~P1(f862(f862(f321(f931(x96745,x96742)),f862(f862(f244(x96745,x96742),x96748),x96744)),x96747)) % 186.59/186.36 [9868]~P1(f862(f862(f227(f932(f931(x98683,x98682),a921)),x98685),f862(f862(f246(x98683,x98682),x98688),f862(f18(f932(x98682,a921),x98683),x98687))))+~P1(f862(f862(f227(f932(f931(x98681,x98683),a921)),x98684),f862(f862(f246(x98681,x98683),x98686),f862(f18(f932(x98683,a921),x98681),x98688))))+P1(f862(f862(f227(f932(f931(x98681,x98682),a921)),f862(f862(f280(x98681,x98683,x98682),x98684),x98685)),f862(f862(f246(x98681,x98682),x98686),f862(f18(f932(x98682,a921),x98681),x98687)))) % 186.59/186.36 [9922]~E(x99223,x99225)+P1(f862(f862(f321(f931(f931(x99221,x99222),f931(x99221,x99222))),f862(f862(f244(f931(x99221,x99222),f931(x99221,x99222)),f862(f862(f244(x99221,x99222),x99223),x99224)),f862(f862(f244(x99221,x99222),x99225),x99226))),f311(x99221,x99222,x99227,x99228)))+~P1(f862(f862(f321(f931(x99222,x99222)),f862(f862(f244(x99222,x99222),x99224),x99226)),x99228)) % 186.59/186.36 [10027]E(x100271,x100272)+~P1(f862(f862(f321(f931(f931(x100273,x100275),f931(x100273,x100275))),f862(f862(f244(f931(x100273,x100275),f931(x100273,x100275)),f862(f862(f244(x100273,x100275),x100271),x100276)),f862(f862(f244(x100273,x100275),x100272),x100277))),f311(x100273,x100275,x100274,x100278)))+P1(f862(f862(f321(f931(x100273,x100273)),f862(f862(f244(x100273,x100273),x100271),x100272)),x100274)) % 186.59/186.36 [10042]~P1(f862(f862(f321(f931(f931(x100421,x100425),f931(x100421,x100425))),f862(f862(f244(f931(x100421,x100425),f931(x100421,x100425)),f862(f862(f244(x100421,x100425),x100422),x100426)),f862(f862(f244(x100421,x100425),x100423),x100427))),f311(x100421,x100425,x100424,x100428)))+P1(f862(f862(f321(f931(x100421,x100421)),f862(f862(f244(x100421,x100421),x100422),x100423)),x100424))+P1(f862(f862(f321(f931(x100425,x100425)),f862(f862(f244(x100425,x100425),x100426),x100427)),x100428)) % 186.59/186.36 [9957]~P21(x99577,x99575,x99571,x99578,x99572,x99574)+~P1(f862(f54(x99575),x99576))+E(f862(f862(x99571,f862(x99572,x99573)),f862(x99574,f862(f862(f3(f932(x99575,a921)),x99576),f862(f862(f301(x99575),x99573),f181(f932(x99575,a921)))))),f862(x99574,f862(f862(f301(x99575),x99573),x99576))) % 186.59/186.36 [9437]~P1(f862(f862(f862(x94375,x94378),x94376),x94377))+~P1(f862(f862(f321(x94371),x94378),x94374))+P1(f862(f862(f862(f862(f33(x94371,f932(x94372,f932(x94373,a921))),x94374),x94375),x94376),x94377)) % 186.59/186.36 [9659]P1(f862(f862(f862(x96591,x96592),x96593),x96594))+~P1(f862(f862(f321(x96595),x96592),x96596))+~P1(f862(f862(f862(f862(f32(x96595,f932(x96597,f932(x96598,a921))),x96596),x96591),x96593),x96594)) % 186.59/186.36 [9861]~P19(x98613,x98612,x98614,x98618,x98611)+~P1(f862(f54(x98612),x98617))+E(f862(f862(x98611,f862(f862(f20(x98612,x98613,x98613),f862(f862(f10(x98613,f932(x98613,x98613),x98612),x98614),x98615)),x98616)),x98617),f862(f862(x98614,f862(f862(x98611,x98615),x98617)),f862(f862(x98611,x98616),x98617))) % 186.59/186.36 [10131]~E(f862(f302(x101312,x101314,x101316),x101318),x1013110)+~E(f862(f302(x101311,x101313,x101315),x101317),x101319)+E(f862(f302(f931(x101311,x101312),f931(x101313,x101314),f250(x101311,x101313,x101312,x101314,x101315,x101316)),f862(f862(f246(x101311,x101312),x101317),f862(f18(f932(x101312,a921),x101311),x101318))),f862(f862(f246(x101313,x101314),x101319),f862(f18(f932(x101314,a921),x101313),x1013110))) % 186.59/186.36 [5053]~P46(x50531,x50532)+~P47(x50531,x50532)+~P48(x50531,x50532)+P5(x50531,x50532) % 186.59/186.36 [5009]~P109(x50092)+~P11(x50092,x50091)+P11(x50092,f107(x50092,x50091))+E(x50091,f106(x50092)) % 186.59/186.36 [5010]~P109(x50102)+~P11(x50102,x50101)+P11(x50102,f714(x50101,x50102))+E(x50101,f106(x50102)) % 186.59/186.36 [5253]~P3(x52532)+E(f12(x52532,x52531),f31(x52532,x52531))+E(x52531,f181(f932(x52532,a921)))+~P1(f862(f54(x52532),x52531)) % 186.59/186.36 [5254]~P3(x52542)+E(f15(x52542,x52541),f30(x52542,x52541))+E(x52541,f181(f932(x52542,a921)))+~P1(f862(f54(x52542),x52541)) % 186.59/186.36 [5411]~P109(x54112)+~P11(x54112,x54111)+E(x54111,f106(x54112))+E(f862(f862(f144(x54112),f733(x54111,x54112)),f714(x54111,x54112)),x54111) % 186.59/186.36 [6226]~P93(x62262)+E(x62261,f181(f932(x62262,a921)))+P1(f862(f862(f227(x62262),f12(x62262,x62261)),f15(x62262,x62261)))+~P1(f862(f54(x62262),x62261)) % 186.59/186.36 [6237]~P38(x62372)+~P38(x62371)+E(x62371,x62372)+~E(f862(f302(a1,a924,a97),x62371),f862(f302(a1,a924,a97),x62372)) % 186.59/186.36 [9294]~P112(x92941)+~P1(f862(f862(f321(x92941),x92942),f102(x92941)))+P1(f862(f862(f228(x92941),f862(f862(f73(x92941),f862(f862(f73(x92941),f71(x92941)),x92942)),x92942)),f2(x92941)))+~P1(f862(f862(f228(x92941),x92942),f2(x92941))) % 186.59/186.36 [9539]~P112(x95391)+~P1(f862(f862(f321(x95391),x95392),f102(x95391)))+~P1(f862(f862(f228(x95391),f862(f862(f73(x95391),f862(f862(f73(x95391),f71(x95391)),x95392)),x95392)),f2(x95391)))+P1(f862(f862(f228(x95391),x95392),f2(x95391))) % 186.59/186.36 [5068]~P116(x50682)+~P146(x50682)+E(x50681,f2(a924))+E(f862(f862(f236(x50682),f2(x50682)),x50681),f2(x50682)) % 186.59/186.36 [5071]~P116(x50711)+~P146(x50711)+~E(x50712,f2(a924))+E(f862(f862(f236(x50711),f2(x50711)),x50712),f71(x50711)) % 186.59/186.36 [5239]~P141(x52392)+E(x52391,f71(x52392))+E(x52391,f862(f72(x52392),f71(x52392)))+~E(f862(f862(f74(x52392),x52391),x52391),f71(x52392)) % 186.59/186.36 [5489]~P88(x54892)+E(x54891,f2(x54892))+E(f75(x54892,x54891),f862(f72(x54892),f71(x54892)))+P1(f862(f862(f228(x54892),f2(x54892)),x54891)) % 186.59/186.36 [5729]~P88(x57292)+E(f75(x57292,x57291),f71(x57292))+E(x57291,f2(x57292))+~P1(f862(f862(f228(x57292),f2(x57292)),x57291)) % 186.59/186.36 [5739]E(x57391,x57392)+~E(f862(f96(a924),x57391),f862(f96(a924),x57392))+P1(f862(a186,f862(f96(a1),x57392)))+P1(f862(a186,f862(f96(a1),x57391))) % 186.59/186.36 [5791]~P97(x57911)+~E(x57912,f2(x57911))+E(f862(f862(f73(x57911),x57912),x57912),f2(x57911))+~P1(f862(f862(f321(x57911),x57912),f102(x57911))) % 186.59/186.36 [5830]E(x58301,f2(a1))+~E(f862(f862(f29(a1),x58302),x58301),f2(a1))+P1(f862(f862(f228(a1),x58301),x58302))+P1(f862(f862(f228(a1),x58302),x58301)) % 186.59/186.36 [5860]E(x58601,f2(a1))+~E(f862(f862(f29(a1),x58602),x58601),f2(a1))+P1(f862(f862(f227(a1),x58602),f2(a1)))+P1(f862(f862(f228(a1),x58602),x58601)) % 186.59/186.36 [5894]E(x58941,f2(a1))+~E(f862(f862(f29(a1),x58942),x58941),f2(a1))+P1(f862(f862(f227(a1),f2(a1)),x58942))+P1(f862(f862(f228(a1),x58941),x58942)) % 186.59/186.36 [5929]~P97(x59292)+E(x59291,f2(x59292))+~E(f862(f862(f73(x59292),x59291),x59291),f2(x59292))+~P1(f862(f862(f321(x59292),x59291),f102(x59292))) % 186.59/186.36 [5991]E(f862(f96(a924),x59911),f862(f96(a924),x59912))+~E(f862(f96(a1),x59912),f2(a1))+P1(f862(a186,f862(f96(a1),x59912)))+~P1(f862(a186,f862(f96(a1),x59911))) % 186.59/186.36 [6020]~E(f862(f96(a924),x60202),f862(f96(a924),x60201))+E(f862(f96(a1),x60201),f2(a1))+P1(f862(a186,f862(f96(a1),x60201)))+~P1(f862(a186,f862(f96(a1),x60202))) % 186.59/186.36 [6030]~P109(x60302)+E(x60301,f181(f932(x60302,a921)))+~P1(f862(f54(x60302),x60301))+P1(f862(f862(f321(x60302),f16(x60302,x60301)),x60301)) % 186.59/186.36 [6031]~P109(x60312)+E(x60311,f181(f932(x60312,a921)))+~P1(f862(f54(x60312),x60311))+P1(f862(f862(f321(x60312),f17(x60312,x60311)),x60311)) % 186.59/186.36 [6203]~P112(x62031)+~P98(x62031)+P1(f862(f862(f227(x62031),f2(x62031)),f862(f96(x62031),x62032)))+~P1(f862(f862(f227(a1),a76),x62032)) % 186.59/186.36 [6204]~P112(x62041)+~P98(x62041)+P1(f862(f862(f228(x62041),f2(x62041)),f862(f96(x62041),x62042)))+~P1(f862(f862(f228(a1),a76),x62042)) % 186.59/186.36 [6225]~P112(x62251)+~P98(x62251)+E(f862(f69(x62251),f862(f96(x62251),x62252)),f862(f96(x62251),x62252))+P1(f862(f862(f228(x62251),f862(f96(x62251),x62252)),f2(x62251))) % 186.59/186.36 [6261]E(x62611,x62612)+~E(f862(a97,x62611),f862(a97,x62612))+~P1(f862(f862(f227(a1),f2(a1)),x62612))+~P1(f862(f862(f227(a1),f2(a1)),x62611)) % 186.59/186.36 [6460]~P98(x64602)+~P112(x64602)+~P1(f862(f862(f227(x64602),f2(x64602)),f862(f96(x64602),x64601)))+P1(f862(f862(f227(a1),a76),x64601)) % 186.59/186.36 [6461]~P98(x64612)+~P112(x64612)+~P1(f862(f862(f228(x64612),f2(x64612)),f862(f96(x64612),x64611)))+P1(f862(f862(f228(a1),a76),x64611)) % 186.59/186.36 [6466]~P112(x64661)+~P98(x64661)+P1(f862(f862(f227(x64661),f862(f96(x64661),x64662)),f2(x64661)))+~P1(f862(f862(f227(a1),x64662),a76)) % 186.59/186.36 [6467]~P112(x64671)+~P98(x64671)+P1(f862(f862(f228(x64671),f862(f96(x64671),x64672)),f2(x64671)))+~P1(f862(f862(f228(a1),x64672),a76)) % 186.59/186.36 [6791]~P98(x67912)+~P112(x67912)+~P1(f862(f862(f227(x67912),f862(f96(x67912),x67911)),f2(x67912)))+P1(f862(f862(f227(a1),x67911),a76)) % 186.59/186.36 [6792]~P98(x67922)+~P112(x67922)+~P1(f862(f862(f228(x67922),f862(f96(x67922),x67921)),f2(x67922)))+P1(f862(f862(f228(a1),x67921),a76)) % 186.59/186.36 [6885]~P112(x68851)+~P98(x68851)+E(f862(f69(x68851),f862(f96(x68851),x68852)),f862(f72(x68851),f862(f96(x68851),x68852)))+~P1(f862(f862(f228(x68851),f862(f96(x68851),x68852)),f2(x68851))) % 186.59/186.36 [6903]E(f862(f96(a924),x69031),f862(f96(a924),x69032))+~E(f862(f96(a1),x69032),f2(a1))+~P1(f862(f862(f227(a1),f862(f96(a1),x69031)),f2(a1)))+~P1(f862(a186,f862(f96(a1),x69031))) % 186.59/186.36 [7785]~P109(x77852)+E(x77851,f181(f932(x77852,a921)))+~P1(f862(f54(x77852),x77851))+P1(f862(f862(f227(x77852),f13(x77852,f225(x77852),x77851)),f14(x77852,f226(x77852),x77851))) % 186.59/186.36 [8105]~P4(x81051)+~P38(x81052)+P1(f862(f862(f321(a1),x81051),x81052))+~P1(f862(f862(f321(a924),f862(a97,x81051)),f862(f302(a1,a924,a97),x81052))) % 186.59/186.36 [6026]~P142(x60262)+E(x60261,f2(a1))+E(f862(f72(x60262),f862(f95(x60262),f862(f72(a1),x60261))),f862(f95(x60262),x60261))+~P1(f862(f862(f228(a1),x60261),f2(a1))) % 186.59/186.36 [6104]~P97(x61041)+~P98(x61041)+~P26(x61041,f862(f96(x61041),x61042))+P26(x61041,f862(f96(x61041),f862(f862(f73(a1),x61042),x61042))) % 186.59/186.36 [6449]~P76(x64492)+E(x64491,f181(f932(x64492,a921)))+E(f17(x64492,f862(f302(x64492,x64492,f72(x64492)),x64491)),f862(f72(x64492),f16(x64492,x64491)))+~P1(f862(f54(x64492),x64491)) % 186.59/186.36 [6450]~P76(x64502)+E(x64501,f181(f932(x64502,a921)))+E(f16(x64502,f862(f302(x64502,x64502,f72(x64502)),x64501)),f862(f72(x64502),f17(x64502,x64501)))+~P1(f862(f54(x64502),x64501)) % 186.59/186.36 [6483]~P97(x64831)+~P98(x64831)+P26(x64831,f862(f96(x64831),x64832))+~P26(x64831,f862(f96(x64831),f862(f862(f73(a1),x64832),x64832))) % 186.59/186.36 [6578]E(x65781,f2(a1))+E(f862(a44,f43(f862(f72(a1),x65781),f862(f72(a1),x65782))),f39(x65781,x65782))+P1(f862(f862(f227(a1),f2(a1)),x65782))+~P1(f862(f862(f227(a1),f2(a1)),x65781)) % 186.59/186.36 [8894]~P38(x88942)+~P38(x88941)+P1(f862(f862(f228(f932(a924,a921)),f862(f302(a1,a924,a97),x88941)),f862(f302(a1,a924,a97),x88942)))+~P1(f862(f862(f228(f932(a1,a921)),x88941),x88942)) % 186.59/186.36 [9127]~E(f737(x91272,x91271),f738(x91272,x91271))+~P1(f862(f130(x91271),f736(x91272,x91271)))+~P1(f862(f130(f925(x91271)),x91272))+P1(f862(f130(x91271),f862(f135(f925(x91271),f925(x91271),f127(x91271),f106(x91271)),x91272))) % 186.59/186.36 [9213]~P38(x92132)+~P38(x92131)+~P1(f862(f862(f227(f932(a924,a921)),f862(f302(a1,a924,a97),x92131)),f862(f302(a1,a924,a97),x92132)))+P1(f862(f862(f227(f932(a1,a921)),x92131),x92132)) % 186.59/186.36 [9214]~P38(x92142)+~P38(x92141)+~P1(f862(f862(f228(f932(a924,a921)),f862(f302(a1,a924,a97),x92141)),f862(f302(a1,a924,a97),x92142)))+P1(f862(f862(f228(f932(a1,a921)),x92141),x92142)) % 186.59/186.36 [9220]~E(f737(x92202,x92201),f738(x92202,x92201))+~P1(f862(f130(f925(x92201)),x92202))+P1(f862(f130(x92201),f862(f135(f925(x92201),f925(x92201),f127(x92201),f106(x92201)),x92202)))+P1(f862(f862(f321(f925(x92201)),f736(x92202,x92201)),f862(f165(f925(x92201)),x92202))) % 186.59/186.36 [9261]~P1(f862(f130(x92611),f736(x92612,x92611)))+~P1(f862(f130(f925(x92611)),x92612))+P1(f862(f130(x92611),f862(f135(f925(x92611),f925(x92611),f127(x92611),f106(x92611)),x92612)))+P1(f862(f862(f321(f925(x92611)),f738(x92612,x92611)),f862(f165(f925(x92611)),x92612))) % 186.59/186.36 [9262]~P1(f862(f130(x92621),f736(x92622,x92621)))+~P1(f862(f130(f925(x92621)),x92622))+P1(f862(f130(x92621),f862(f135(f925(x92621),f925(x92621),f127(x92621),f106(x92621)),x92622)))+P1(f862(f862(f321(f925(x92621)),f737(x92622,x92621)),f862(f165(f925(x92621)),x92622))) % 186.59/186.36 [9341]~P1(f862(f130(f925(x93411)),x93412))+P1(f862(f130(x93411),f862(f135(f925(x93411),f925(x93411),f127(x93411),f106(x93411)),x93412)))+P1(f862(f862(f321(f925(x93411)),f738(x93412,x93411)),f862(f165(f925(x93411)),x93412)))+P1(f862(f862(f321(f925(x93411)),f736(x93412,x93411)),f862(f165(f925(x93411)),x93412))) % 186.59/186.36 [9342]~P1(f862(f130(f925(x93421)),x93422))+P1(f862(f130(x93421),f862(f135(f925(x93421),f925(x93421),f127(x93421),f106(x93421)),x93422)))+P1(f862(f862(f321(f925(x93421)),f737(x93422,x93421)),f862(f165(f925(x93421)),x93422)))+P1(f862(f862(f321(f925(x93421)),f736(x93422,x93421)),f862(f165(f925(x93421)),x93422))) % 186.59/186.36 [9356]~E(f862(f862(f94(f932(x93561,a921)),f862(f165(x93561),f738(x93562,x93561))),f862(f165(x93561),f737(x93562,x93561))),f181(f932(x93561,a921)))+~P1(f862(f130(x93561),f736(x93562,x93561)))+~P1(f862(f130(f925(x93561)),x93562))+P1(f862(f130(x93561),f862(f135(f925(x93561),f925(x93561),f127(x93561),f106(x93561)),x93562))) % 186.59/186.36 [9418]~E(f862(f862(f94(f932(x94181,a921)),f862(f165(x94181),f738(x94182,x94181))),f862(f165(x94181),f737(x94182,x94181))),f181(f932(x94181,a921)))+~P1(f862(f130(f925(x94181)),x94182))+P1(f862(f130(x94181),f862(f135(f925(x94181),f925(x94181),f127(x94181),f106(x94181)),x94182)))+P1(f862(f862(f321(f925(x94181)),f736(x94182,x94181)),f862(f165(f925(x94181)),x94182))) % 186.59/186.36 [9705]E(x97051,f2(a1))+E(x97052,f2(a1))+E(f862(f862(f79(a1,f931(a1,a1)),f862(f862(a210,x97052),x97051)),f862(f862(f20(a1,a1,f931(a1,a1)),f862(f862(f10(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f862(f29(a1),x97052))),f862(f29(a1),x97051))),f208(x97052,x97051))+P1(f862(f862(f228(a1),x97051),f2(a1))) % 186.59/186.36 [8436]~P98(x84362)+~P112(x84362)+~P1(f862(f862(f227(x84362),f862(f96(x84362),x84361)),f71(x84362)))+P1(f862(f862(f227(a1),x84361),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))) % 186.59/186.36 [8437]~P98(x84372)+~P112(x84372)+~P1(f862(f862(f228(x84372),f862(f96(x84372),x84371)),f71(x84372)))+P1(f862(f862(f228(a1),x84371),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))) % 186.59/186.36 [8708]~P112(x87081)+~P98(x87081)+P1(f862(f862(f227(x87081),f862(f96(x87081),x87082)),f71(x87081)))+~P1(f862(f862(f227(a1),x87082),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))) % 186.59/186.36 [8709]~P112(x87091)+~P98(x87091)+P1(f862(f862(f228(x87091),f862(f96(x87091),x87092)),f71(x87091)))+~P1(f862(f862(f228(a1),x87092),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))) % 186.59/186.36 [8922]~P98(x89222)+~P112(x89222)+~P1(f862(f862(f227(x89222),f71(x89222)),f862(f96(x89222),x89221)))+P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),x89221)) % 186.59/186.36 [8923]~P98(x89232)+~P112(x89232)+~P1(f862(f862(f228(x89232),f71(x89232)),f862(f96(x89232),x89231)))+P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),x89231)) % 186.59/186.36 [9300]~P112(x93001)+~P98(x93001)+P1(f862(f862(f227(x93001),f71(x93001)),f862(f96(x93001),x93002)))+~P1(f862(f862(f227(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),x93002)) % 186.59/186.36 [9301]~P112(x93011)+~P98(x93011)+P1(f862(f862(f228(x93011),f71(x93011)),f862(f96(x93011),x93012)))+~P1(f862(f862(f228(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),x93012)) % 186.59/186.36 [9834]~P141(x98342)+E(x98341,f71(x98342))+E(x98341,f862(f72(x98342),f71(x98342)))+~E(f862(f862(f236(x98342),x98341),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f71(x98342)) % 186.59/186.36 [10107]~P66(x101071)+~P98(x101071)+~P1(f862(f862(f228(x101071),f2(x101071)),x101072))+P1(f862(f862(f228(x101071),f2(x101071)),f862(f862(f282(x101071),x101072),f862(f96(x101071),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.36 [10159]~P66(x101591)+~P98(x101591)+P1(f862(f862(f228(x101591),f2(x101591)),x101592))+~P1(f862(f862(f228(x101591),f2(x101591)),f862(f862(f282(x101591),x101592),f862(f96(x101591),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.36 [10450]~P142(x104502)+E(x104501,f2(a1))+P1(f862(f862(f228(a1),x104501),f2(a1)))+E(f862(f862(f249(a1,a1,x104502),f862(f862(f9(a1,f932(a1,f932(x104502,x104502)),f932(a1,x104502)),f862(f862(f10(f932(f932(x104502,x104502),x104502),f932(f932(a1,f932(x104502,x104502)),f932(a1,x104502)),a1),f10(f932(x104502,x104502),x104502,a1)),f862(f862(f10(x104502,f932(f932(x104502,x104502),x104502),a1),f79(x104502,x104502)),f95(x104502)))),f862(f862(f9(a1,f932(x104502,x104502),f932(x104502,x104502)),f862(f862(f10(f932(x104502,f932(x104502,x104502)),f932(f932(x104502,x104502),f932(x104502,x104502)),a1),f20(x104502,x104502,x104502)),f862(f862(f9(a1,f932(x104502,x104502),f932(x104502,f932(x104502,x104502))),f862(f862(f10(f932(x104502,f932(x104502,x104502)),f932(f932(x104502,x104502),f932(x104502,f932(x104502,x104502))),a1),f10(x104502,f932(x104502,x104502),x104502)),f862(f862(f10(a921,f932(x104502,f932(x104502,x104502)),a1),f89(x104502)),f862(f862(f9(a1,a1,a921),a317),f2(a1))))),f862(f862(f20(x104502,x104502,x104502),f73(x104502)),f7(x104502))))),f862(f862(f9(x104502,x104502,x104502),f862(f862(f10(x104502,f932(x104502,x104502),x104502),f73(x104502)),f862(f862(f20(x104502,x104502,x104502),f73(x104502)),f7(x104502)))),f71(x104502))))),f39(x104501,f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f95(x104502),x104501)) % 186.59/186.36 [5498]~P36(x54981,x54983)+~P49(x54981,x54983)+~P50(x54981,x54982,x54983)+P6(x54981,x54982,x54983) % 186.59/186.36 [5037]~P97(x50373)+~P98(x50373)+E(x50371,x50372)+~E(f862(f96(x50373),x50371),f862(f96(x50373),x50372)) % 186.59/186.36 [5508]~P47(x55081,x55082)+~P48(x55081,x55082)+P13(x55081,x55082)+~P1(f862(f862(x55082,x55083),x55083)) % 186.59/186.36 [6006]P13(x60062,x60061)+E(f862(x60061,f811(x60061)),f862(x60061,f813(x60061)))+P1(f862(f862(x60061,f811(x60061)),f813(x60061)))+~P1(f862(f862(x60061,x60063),x60063)) % 186.59/186.36 [6213]~P1(f862(x62131,x62132))+~P1(f862(x62131,x62133))+~P1(f862(f862(f227(a924),x62133),f360(x62132,x62131)))+P1(f862(x62131,f2(a924))) % 186.59/186.36 [6280]P13(x62801,x62802)+P1(f862(f862(x62802,f811(x62802)),f811(x62802)))+P1(f862(f862(x62802,f811(x62802)),f813(x62802)))+~P1(f862(f862(x62802,x62803),x62803)) % 186.59/186.36 [6281]P13(x62811,x62812)+P1(f862(f862(x62812,f811(x62812)),f813(x62812)))+P1(f862(f862(x62812,f813(x62812)),f813(x62812)))+~P1(f862(f862(x62812,x62813),x62813)) % 186.59/186.36 [6642]P149(x66422,x66421,x66423)+E(x66421,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f868(x66423,x66421,x66422)))+P1(f862(f862(f228(a1),x66421),f2(a1))) % 186.59/186.36 [6643]P148(x66432,x66431,x66433)+E(x66431,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f873(x66433,x66431,x66432)))+P1(f862(f862(f228(a1),x66431),f2(a1))) % 186.59/186.36 [6771]P148(x67711,x67712,x67713)+~P1(f862(x67711,x67713))+P1(f862(f862(f227(a1),f2(a1)),f873(x67713,x67712,x67711)))+P1(f862(f862(f228(a1),x67712),f2(a1))) % 186.59/186.36 [6797]P149(x67971,x67972,x67973)+P1(f862(f862(f227(a1),f2(a1)),f868(x67973,x67972,x67971)))+~P1(f862(x67971,f2(a1)))+P1(f862(f862(f228(a1),x67972),f2(a1))) % 186.59/186.36 [6828]P149(x68282,x68281,x68283)+E(x68281,f2(a1))+~P1(f862(x68282,f869(x68283,x68281,x68282)))+P1(f862(f862(f228(a1),x68281),f2(a1))) % 186.59/186.36 [6829]P148(x68292,x68291,x68293)+E(x68291,f2(a1))+~P1(f862(x68292,f873(x68293,x68291,x68292)))+P1(f862(f862(f228(a1),x68291),f2(a1))) % 186.59/186.36 [6931]~P3(x69311)+~P109(x69311)+~P1(f862(f862(f228(x69311),x69312),f30(x69311,x69313)))+P1(f862(f862(f228(x69311),x69312),f724(x69313,x69312,x69311))) % 186.59/186.36 [6941]P148(x69411,x69412,x69413)+~P1(f862(x69411,x69413))+~P1(f862(x69411,f873(x69413,x69412,x69411)))+P1(f862(f862(f228(a1),x69412),f2(a1))) % 186.59/186.36 [6972]P149(x69721,x69722,x69723)+~P1(f862(x69721,f869(x69723,x69722,x69721)))+~P1(f862(x69721,f2(a1)))+P1(f862(f862(f228(a1),x69722),f2(a1))) % 186.59/186.36 [7221]P149(x72212,x72211,x72213)+E(x72211,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f868(x72213,x72211,x72212)))+P1(f862(f862(f228(a1),x72211),f867(x72213,x72211,x72212))) % 186.59/186.36 [7222]P148(x72222,x72221,x72223)+E(x72221,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f873(x72223,x72221,x72222)))+P1(f862(f862(f228(a1),x72221),f872(x72223,x72221,x72222))) % 186.59/186.36 [7343]P148(x73431,x73432,x73433)+~P1(f862(x73431,x73433))+P1(f862(f862(f227(a1),f2(a1)),f873(x73433,x73432,x73431)))+P1(f862(f862(f228(a1),x73432),f872(x73433,x73432,x73431))) % 186.59/186.36 [7364]P149(x73641,x73642,x73643)+P1(f862(f862(f227(a1),f2(a1)),f868(x73643,x73642,x73641)))+P1(f862(f862(f228(a1),x73642),f867(x73643,x73642,x73641)))+~P1(f862(x73641,f2(a1))) % 186.59/186.36 [7396]P149(x73962,x73961,x73963)+E(x73961,f2(a1))+~P1(f862(x73962,f869(x73963,x73961,x73962)))+P1(f862(f862(f228(a1),x73961),f867(x73963,x73961,x73962))) % 186.59/186.36 [7397]P148(x73972,x73971,x73973)+E(x73971,f2(a1))+~P1(f862(x73972,f873(x73973,x73971,x73972)))+P1(f862(f862(f228(a1),x73971),f872(x73973,x73971,x73972))) % 186.59/186.36 [7442]P149(x74422,x74421,x74423)+E(x74421,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f868(x74423,x74421,x74422)))+~P1(f862(x74422,f871(x74423,x74421,x74422))) % 186.59/186.36 [7443]P148(x74432,x74431,x74433)+E(x74431,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f873(x74433,x74431,x74432)))+~P1(f862(x74432,f872(x74433,x74431,x74432))) % 186.59/186.36 [7539]P148(x75391,x75392,x75393)+~P1(f862(x75391,x75393))+~P1(f862(x75391,f873(x75393,x75392,x75391)))+P1(f862(f862(f228(a1),x75392),f872(x75393,x75392,x75391))) % 186.59/186.36 [7555]P149(x75551,x75552,x75553)+~P1(f862(x75551,f869(x75553,x75552,x75551)))+P1(f862(f862(f228(a1),x75552),f867(x75553,x75552,x75551)))+~P1(f862(x75551,f2(a1))) % 186.59/186.36 [7558]P148(x75581,x75582,x75583)+~P1(f862(x75581,x75583))+P1(f862(f862(f227(a1),f2(a1)),f873(x75583,x75582,x75581)))+~P1(f862(x75581,f872(x75583,x75582,x75581))) % 186.59/186.36 [7574]P149(x75741,x75742,x75743)+P1(f862(f862(f227(a1),f2(a1)),f868(x75743,x75742,x75741)))+~P1(f862(x75741,f871(x75743,x75742,x75741)))+~P1(f862(x75741,f2(a1))) % 186.59/186.36 [7596]P149(x75962,x75961,x75963)+E(x75961,f2(a1))+~P1(f862(x75962,f869(x75963,x75961,x75962)))+~P1(f862(x75962,f871(x75963,x75961,x75962))) % 186.59/186.36 [7597]P148(x75972,x75971,x75973)+E(x75971,f2(a1))+~P1(f862(x75972,f873(x75973,x75971,x75972)))+~P1(f862(x75972,f872(x75973,x75971,x75972))) % 186.59/186.36 [7682]P148(x76821,x76822,x76823)+~P1(f862(x76821,x76823))+~P1(f862(x76821,f873(x76823,x76822,x76821)))+~P1(f862(x76821,f872(x76823,x76822,x76821))) % 186.59/186.36 [7699]P149(x76991,x76992,x76993)+~P1(f862(x76991,f869(x76993,x76992,x76991)))+~P1(f862(x76991,f871(x76993,x76992,x76991)))+~P1(f862(x76991,f2(a1))) % 186.59/186.36 [7744]P149(x77442,x77441,x77443)+E(x77441,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f868(x77443,x77441,x77442)))+P1(f862(f862(f227(a1),f867(x77443,x77441,x77442)),f2(a1))) % 186.59/186.36 [7745]P148(x77452,x77451,x77453)+E(x77451,f2(a1))+P1(f862(f862(f227(a1),f2(a1)),f873(x77453,x77451,x77452)))+P1(f862(f862(f227(a1),f872(x77453,x77451,x77452)),f2(a1))) % 186.59/186.36 [7746]~P142(x77461)+~P1(f862(f862(f321(x77461),x77463),f102(x77461)))+~P1(f862(f862(f321(x77461),x77462),f102(x77461)))+P1(f862(f862(f321(x77461),f862(f862(f3(x77461),x77462),x77463)),f102(x77461))) % 186.59/186.36 [7747]~P142(x77471)+~P1(f862(f862(f321(x77471),x77473),f102(x77471)))+~P1(f862(f862(f321(x77471),x77472),f102(x77471)))+P1(f862(f862(f321(x77471),f862(f862(f74(x77471),x77472),x77473)),f102(x77471))) % 186.59/186.36 [7748]~P147(x77481)+~P1(f862(f862(f321(x77481),x77483),f179(x77481)))+~P1(f862(f862(f321(x77481),x77482),f179(x77481)))+P1(f862(f862(f321(x77481),f862(f862(f74(x77481),x77482),x77483)),f179(x77481))) % 186.59/186.36 [7749]~P142(x77491)+~P1(f862(f862(f321(x77491),x77493),f102(x77491)))+~P1(f862(f862(f321(x77491),x77492),f102(x77491)))+P1(f862(f862(f321(x77491),f862(f862(f73(x77491),x77492),x77493)),f102(x77491))) % 186.59/186.36 [7750]~P147(x77501)+~P1(f862(f862(f321(x77501),x77503),f179(x77501)))+~P1(f862(f862(f321(x77501),x77502),f179(x77501)))+P1(f862(f862(f321(x77501),f862(f862(f73(x77501),x77502),x77503)),f179(x77501))) % 186.59/186.36 [7751]~P87(x77511)+~P1(f862(f862(f227(x77511),x77513),f2(x77511)))+~P1(f862(f862(f227(x77511),x77512),f2(x77511)))+P1(f862(f862(f227(x77511),f862(f862(f73(x77511),x77512),x77513)),f2(x77511))) % 186.59/186.36 [7752]~P87(x77521)+~P1(f862(f862(f227(x77521),x77523),f2(x77521)))+~P1(f862(f862(f228(x77521),x77522),f2(x77521)))+P1(f862(f862(f228(x77521),f862(f862(f73(x77521),x77522),x77523)),f2(x77521))) % 186.59/186.36 [7753]~P87(x77531)+~P1(f862(f862(f227(x77531),x77532),f2(x77531)))+~P1(f862(f862(f228(x77531),x77533),f2(x77531)))+P1(f862(f862(f228(x77531),f862(f862(f73(x77531),x77532),x77533)),f2(x77531))) % 186.59/186.36 [7754]~P87(x77541)+~P1(f862(f862(f228(x77541),x77543),f2(x77541)))+~P1(f862(f862(f228(x77541),x77542),f2(x77541)))+P1(f862(f862(f228(x77541),f862(f862(f73(x77541),x77542),x77543)),f2(x77541))) % 186.59/186.36 [7781]P149(x77813,x77811,x77812)+E(x77811,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x77811),f869(x77812,x77811,x77813))),f868(x77812,x77811,x77813)),x77812)+P1(f862(f862(f228(a1),x77811),f2(a1))) % 186.59/186.36 [7782]P148(x77823,x77821,x77822)+E(x77821,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x77821),f874(x77822,x77821,x77823))),f873(x77822,x77821,x77823)),x77822)+P1(f862(f862(f228(a1),x77821),f2(a1))) % 186.59/186.36 [7865]P148(x78651,x78652,x78653)+~P1(f862(x78651,x78653))+P1(f862(f862(f227(a1),f2(a1)),f873(x78653,x78652,x78651)))+P1(f862(f862(f227(a1),f872(x78653,x78652,x78651)),f2(a1))) % 186.59/186.36 [7896]P149(x78961,x78962,x78963)+P1(f862(f862(f227(a1),f2(a1)),f868(x78963,x78962,x78961)))+~P1(f862(x78961,f2(a1)))+P1(f862(f862(f227(a1),f867(x78963,x78962,x78961)),f2(a1))) % 186.59/186.36 [7905]P148(x79053,x79051,x79052)+~P1(f862(x79053,x79052))+E(f862(f862(f73(a1),f862(f862(f74(a1),x79051),f874(x79052,x79051,x79053))),f873(x79052,x79051,x79053)),x79052)+P1(f862(f862(f228(a1),x79051),f2(a1))) % 186.59/186.36 [7911]P149(x79112,x79111,x79113)+E(x79111,f2(a1))+~P1(f862(x79112,f869(x79113,x79111,x79112)))+P1(f862(f862(f227(a1),f867(x79113,x79111,x79112)),f2(a1))) % 186.59/186.36 [7912]P148(x79122,x79121,x79123)+E(x79121,f2(a1))+~P1(f862(x79122,f873(x79123,x79121,x79122)))+P1(f862(f862(f227(a1),f872(x79123,x79121,x79122)),f2(a1))) % 186.59/186.36 [7917]P149(x79173,x79171,x79172)+E(f862(f862(f73(a1),f862(f862(f74(a1),x79171),f869(x79172,x79171,x79173))),f868(x79172,x79171,x79173)),x79172)+~P1(f862(x79173,f2(a1)))+P1(f862(f862(f228(a1),x79171),f2(a1))) % 186.59/186.36 [7973]P148(x79731,x79732,x79733)+~P1(f862(x79731,x79733))+~P1(f862(x79731,f873(x79733,x79732,x79731)))+P1(f862(f862(f227(a1),f872(x79733,x79732,x79731)),f2(a1))) % 186.59/186.36 [7977]P149(x79771,x79772,x79773)+~P1(f862(x79771,f869(x79773,x79772,x79771)))+~P1(f862(x79771,f2(a1)))+P1(f862(f862(f227(a1),f867(x79773,x79772,x79771)),f2(a1))) % 186.59/186.36 [8045]~P128(x80451)+~P1(f862(f862(f227(x80451),f862(f862(f74(x80451),x80453),x80452)),f2(x80451)))+P1(f862(f862(f227(x80451),x80452),f2(x80451)))+P1(f862(f862(f227(x80451),x80453),f2(x80451))) % 186.59/186.36 [8046]~P66(x80461)+~P1(f862(f862(f227(x80461),f862(f862(f282(x80461),x80463),x80462)),f2(x80461)))+P1(f862(f862(f227(x80461),x80462),f2(x80461)))+P1(f862(f862(f227(x80461),x80463),f2(x80461))) % 186.59/186.36 [8047]~P66(x80471)+~P1(f862(f862(f228(x80471),f862(f862(f282(x80471),x80473),x80472)),f2(x80471)))+P1(f862(f862(f228(x80471),x80472),f2(x80471)))+P1(f862(f862(f228(x80471),x80473),f2(x80471))) % 186.59/186.36 [8162]P149(x81623,x81621,x81622)+E(x81621,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x81621),f869(x81622,x81621,x81623))),f868(x81622,x81621,x81623)),x81622)+P1(f862(f862(f228(a1),x81621),f867(x81622,x81621,x81623))) % 186.59/186.36 [8163]P148(x81633,x81631,x81632)+E(x81631,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x81631),f874(x81632,x81631,x81633))),f873(x81632,x81631,x81633)),x81632)+P1(f862(f862(f228(a1),x81631),f872(x81632,x81631,x81633))) % 186.59/186.36 [8176]P149(x81763,x81761,x81762)+E(x81761,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x81761),f871(x81762,x81761,x81763))),f867(x81762,x81761,x81763)),x81762)+P1(f862(f862(f227(a1),f2(a1)),f868(x81762,x81761,x81763))) % 186.59/186.36 [8177]P148(x81773,x81771,x81772)+E(x81771,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x81771),f875(x81772,x81771,x81773))),f872(x81772,x81771,x81773)),x81772)+P1(f862(f862(f227(a1),f2(a1)),f873(x81772,x81771,x81773))) % 186.59/186.36 [8220]P148(x82203,x82201,x82202)+~P1(f862(x82203,x82202))+E(f862(f862(f73(a1),f862(f862(f74(a1),x82201),f874(x82202,x82201,x82203))),f873(x82202,x82201,x82203)),x82202)+P1(f862(f862(f228(a1),x82201),f872(x82202,x82201,x82203))) % 186.59/186.36 [8229]P149(x82293,x82291,x82292)+E(f862(f862(f73(a1),f862(f862(f74(a1),x82291),f869(x82292,x82291,x82293))),f868(x82292,x82291,x82293)),x82292)+P1(f862(f862(f228(a1),x82291),f867(x82292,x82291,x82293)))+~P1(f862(x82293,f2(a1))) % 186.59/186.36 [8235]P148(x82353,x82351,x82352)+~P1(f862(x82353,x82352))+E(f862(f862(f73(a1),f862(f862(f74(a1),x82351),f875(x82352,x82351,x82353))),f872(x82352,x82351,x82353)),x82352)+P1(f862(f862(f227(a1),f2(a1)),f873(x82352,x82351,x82353))) % 186.59/186.36 [8241]P149(x82413,x82411,x82412)+E(f862(f862(f73(a1),f862(f862(f74(a1),x82411),f871(x82412,x82411,x82413))),f867(x82412,x82411,x82413)),x82412)+P1(f862(f862(f227(a1),f2(a1)),f868(x82412,x82411,x82413)))+~P1(f862(x82413,f2(a1))) % 186.59/186.36 [8252]P149(x82523,x82521,x82522)+E(x82521,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x82521),f869(x82522,x82521,x82523))),f868(x82522,x82521,x82523)),x82522)+~P1(f862(x82523,f871(x82522,x82521,x82523))) % 186.59/186.36 [8253]P148(x82533,x82531,x82532)+E(x82531,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x82531),f874(x82532,x82531,x82533))),f873(x82532,x82531,x82533)),x82532)+~P1(f862(x82533,f872(x82532,x82531,x82533))) % 186.59/186.36 [8254]P149(x82543,x82541,x82542)+E(x82541,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x82541),f871(x82542,x82541,x82543))),f867(x82542,x82541,x82543)),x82542)+~P1(f862(x82543,f869(x82542,x82541,x82543))) % 186.59/186.36 [8255]P148(x82553,x82551,x82552)+E(x82551,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x82551),f875(x82552,x82551,x82553))),f872(x82552,x82551,x82553)),x82552)+~P1(f862(x82553,f873(x82552,x82551,x82553))) % 186.59/186.36 [8315]P148(x83153,x83151,x83152)+~P1(f862(x83153,x83152))+E(f862(f862(f73(a1),f862(f862(f74(a1),x83151),f874(x83152,x83151,x83153))),f873(x83152,x83151,x83153)),x83152)+~P1(f862(x83153,f872(x83152,x83151,x83153))) % 186.59/186.36 [8316]P148(x83163,x83161,x83162)+~P1(f862(x83163,x83162))+E(f862(f862(f73(a1),f862(f862(f74(a1),x83161),f875(x83162,x83161,x83163))),f872(x83162,x83161,x83163)),x83162)+~P1(f862(x83163,f873(x83162,x83161,x83163))) % 186.59/186.36 [8329]P149(x83293,x83291,x83292)+E(f862(f862(f73(a1),f862(f862(f74(a1),x83291),f869(x83292,x83291,x83293))),f868(x83292,x83291,x83293)),x83292)+~P1(f862(x83293,f871(x83292,x83291,x83293)))+~P1(f862(x83293,f2(a1))) % 186.59/186.36 [8330]P149(x83303,x83301,x83302)+E(f862(f862(f73(a1),f862(f862(f74(a1),x83301),f871(x83302,x83301,x83303))),f867(x83302,x83301,x83303)),x83302)+~P1(f862(x83303,f869(x83302,x83301,x83303)))+~P1(f862(x83303,f2(a1))) % 186.59/186.36 [8429]P149(x84293,x84291,x84292)+E(x84291,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x84291),f869(x84292,x84291,x84293))),f868(x84292,x84291,x84293)),x84292)+P1(f862(f862(f227(a1),f867(x84292,x84291,x84293)),f2(a1))) % 186.59/186.36 [8430]P148(x84303,x84301,x84302)+E(x84301,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x84301),f874(x84302,x84301,x84303))),f873(x84302,x84301,x84303)),x84302)+P1(f862(f862(f227(a1),f872(x84302,x84301,x84303)),f2(a1))) % 186.59/186.36 [8469]P148(x84693,x84691,x84692)+~P1(f862(x84693,x84692))+E(f862(f862(f73(a1),f862(f862(f74(a1),x84691),f874(x84692,x84691,x84693))),f873(x84692,x84691,x84693)),x84692)+P1(f862(f862(f227(a1),f872(x84692,x84691,x84693)),f2(a1))) % 186.59/186.36 [8474]P149(x84743,x84741,x84742)+E(f862(f862(f73(a1),f862(f862(f74(a1),x84741),f869(x84742,x84741,x84743))),f868(x84742,x84741,x84743)),x84742)+~P1(f862(x84743,f2(a1)))+P1(f862(f862(f227(a1),f867(x84742,x84741,x84743)),f2(a1))) % 186.59/186.36 [8608]P149(x86083,x86081,x86082)+E(x86081,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x86081),f871(x86082,x86081,x86083))),f867(x86082,x86081,x86083)),x86082)+E(f862(f862(f73(a1),f862(f862(f74(a1),x86081),f869(x86082,x86081,x86083))),f868(x86082,x86081,x86083)),x86082) % 186.59/186.36 [8609]P148(x86093,x86091,x86092)+E(x86091,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x86091),f875(x86092,x86091,x86093))),f872(x86092,x86091,x86093)),x86092)+E(f862(f862(f73(a1),f862(f862(f74(a1),x86091),f874(x86092,x86091,x86093))),f873(x86092,x86091,x86093)),x86092) % 186.59/186.36 [8629]P148(x86293,x86291,x86292)+~P1(f862(x86293,x86292))+E(f862(f862(f73(a1),f862(f862(f74(a1),x86291),f875(x86292,x86291,x86293))),f872(x86292,x86291,x86293)),x86292)+E(f862(f862(f73(a1),f862(f862(f74(a1),x86291),f874(x86292,x86291,x86293))),f873(x86292,x86291,x86293)),x86292) % 186.59/186.36 [8641]P149(x86413,x86411,x86412)+E(f862(f862(f73(a1),f862(f862(f74(a1),x86411),f871(x86412,x86411,x86413))),f867(x86412,x86411,x86413)),x86412)+E(f862(f862(f73(a1),f862(f862(f74(a1),x86411),f869(x86412,x86411,x86413))),f868(x86412,x86411,x86413)),x86412)+~P1(f862(x86413,f2(a1))) % 186.59/186.36 [9308]~P128(x93081)+~E(x93083,f2(x93081))+~E(x93082,f2(x93081))+P1(f862(f862(f227(x93081),f862(f862(f73(x93081),f862(f862(f74(x93081),x93082),x93082)),f862(f862(f74(x93081),x93083),x93083))),f2(x93081))) % 186.59/186.36 [10391]~P112(x103911)+~E(x103913,f2(x103911))+~E(x103912,f2(x103911))+P1(f862(f862(f227(x103911),f862(f862(f73(x103911),f862(f862(f236(x103911),x103912),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103911),x103913),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))),f2(x103911))) % 186.59/186.36 [4985]~E(x49853,x49851)+~P121(x49852)+E(x49851,f2(x49852))+E(f862(f862(f282(x49852),x49853),x49851),f71(x49852)) % 186.59/186.36 [5038]~P95(x50381)+~E(x50383,f181(x50381))+~E(x50382,f181(x50381))+E(f862(f862(f103(x50381),x50382),x50383),f181(x50381)) % 186.59/186.36 [5039]~P94(x50391)+~E(x50393,f234(x50391))+~E(x50392,f234(x50391))+E(f862(f862(f94(x50391),x50392),x50393),f234(x50391)) % 186.59/186.36 [5132]~P121(x51323)+E(x51321,x51322)+E(x51322,f2(x51323))+~E(f862(f862(f282(x51323),x51321),x51322),f71(x51323)) % 186.59/186.36 [5150]~P133(x51502)+E(x51501,f2(x51502))+E(x51503,f2(x51502))+~E(f862(f862(f74(x51502),x51503),x51501),f2(x51502)) % 186.59/186.36 [5151]~P143(x51512)+E(x51511,f2(x51512))+E(x51513,f2(x51512))+~E(f862(f862(f74(x51512),x51513),x51511),f2(x51512)) % 186.59/186.36 [5527]~P113(x55273)+E(x55271,x55272)+E(x55271,f862(f72(x55273),x55272))+~E(f862(f862(f74(x55273),x55271),x55271),f862(f862(f74(x55273),x55272),x55272)) % 186.59/186.36 [5567]~P96(x55671)+E(f862(f72(x55671),x55672),x55673)+~E(f862(f862(f103(x55671),x55672),x55673),f234(x55671))+~E(f862(f862(f94(x55671),x55672),x55673),f181(x55671)) % 186.59/186.36 [5646]~P112(x56463)+E(x56461,x56462)+P1(f862(f862(f228(x56463),x56462),x56461))+P1(f862(f862(f228(x56463),x56461),x56462)) % 186.59/186.36 [5647]~P109(x56473)+E(x56471,x56472)+P1(f862(f862(f228(x56473),x56472),x56471))+P1(f862(f862(f228(x56473),x56471),x56472)) % 186.59/186.36 [5648]~E(x56482,x56483)+~P109(x56481)+P1(f862(f862(f228(x56481),x56482),x56483))+P1(f862(f862(f227(x56481),x56482),x56483)) % 186.59/186.36 [5910]~P110(x59103)+E(x59101,x59102)+~P1(f862(f862(f227(x59103),x59102),x59101))+P1(f862(f862(f228(x59103),x59102),x59101)) % 186.59/186.36 [5912]~P109(x59123)+E(x59121,x59122)+~P1(f862(f862(f227(x59123),x59121),x59122))+P1(f862(f862(f228(x59123),x59121),x59122)) % 186.59/186.36 [5918]~P110(x59183)+E(x59181,x59182)+~P1(f862(f862(f227(x59183),x59181),x59182))+P1(f862(f862(f228(x59183),x59181),x59182)) % 186.59/186.36 [6023]P148(x60231,x60232,x60233)+~P1(f862(x60231,x60233))+P1(f862(f862(f228(a1),x60232),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x60232)) % 186.59/186.36 [6077]P149(x60771,x60772,x60773)+~P1(f862(x60771,f2(a1)))+P1(f862(f862(f228(a1),x60772),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x60772)) % 186.59/186.36 [6082]~P93(x60821)+E(f862(f862(f103(x60821),x60822),f12(x60821,x60823)),x60822)+~P1(f862(f54(x60821),x60823))+~P1(f862(f862(f321(x60821),x60822),x60823)) % 186.59/186.36 [6083]~P93(x60831)+E(f862(f862(f94(x60831),x60832),f15(x60831,x60833)),x60832)+~P1(f862(f54(x60831),x60833))+~P1(f862(f862(f321(x60831),x60832),x60833)) % 186.59/186.36 [6121]~P93(x61211)+E(f862(f862(f103(x61211),x61212),f15(x61211,x61213)),f15(x61211,x61213))+~P1(f862(f54(x61211),x61213))+~P1(f862(f862(f321(x61211),x61212),x61213)) % 186.59/186.36 [6122]~P93(x61221)+E(f862(f862(f94(x61221),x61222),f12(x61221,x61223)),f12(x61221,x61223))+~P1(f862(f54(x61221),x61223))+~P1(f862(f862(f321(x61221),x61222),x61223)) % 186.59/186.36 [6123]~P109(x61231)+E(f862(f862(f225(x61231),x61232),f16(x61231,x61233)),f16(x61231,x61233))+~P1(f862(f54(x61231),x61233))+~P1(f862(f862(f321(x61231),x61232),x61233)) % 186.59/186.36 [6124]~P109(x61241)+E(f862(f862(f226(x61241),x61242),f17(x61241,x61243)),f17(x61241,x61243))+~P1(f862(f54(x61241),x61243))+~P1(f862(f862(f321(x61241),x61242),x61243)) % 186.59/186.36 [6163]E(x61631,x61632)+~P110(x61633)+~P1(f862(f862(f227(x61633),x61632),x61631))+~P1(f862(f862(f227(x61633),x61631),x61632)) % 186.59/186.36 [6309]~P91(x63091)+P1(f862(f862(f228(x63091),x63093),x63092))+~P1(f862(f862(f227(x63091),x63093),x63092))+P1(f862(f862(f227(x63091),x63092),x63093)) % 186.59/186.36 [6335]~P109(x63351)+~P1(f862(f54(x63351),x63353))+P1(f862(f862(f227(x63351),x63352),f17(x63351,x63353)))+~P1(f862(f862(f321(x63351),x63352),x63353)) % 186.59/186.36 [6384]~P109(x63841)+E(f862(f862(f225(x63841),x63842),f14(x63841,f226(x63841),x63843)),x63842)+~P1(f862(f54(x63841),x63843))+~P1(f862(f862(f321(x63841),x63842),x63843)) % 186.59/186.36 [6385]~P109(x63851)+E(f862(f862(f226(x63851),x63852),f13(x63851,f225(x63851),x63853)),x63852)+~P1(f862(f54(x63851),x63853))+~P1(f862(f862(f321(x63851),x63852),x63853)) % 186.59/186.36 [6531]E(x65311,x65312)+~E(f862(f862(f3(a924),x65311),x65313),f862(f862(f3(a924),x65312),x65313))+~P1(f862(f862(f227(a924),x65313),x65311))+~P1(f862(f862(f227(a924),x65313),x65312)) % 186.59/186.36 [6557]~P109(x65571)+~P1(f862(f54(x65571),x65572))+~P1(f862(f862(f321(x65571),x65573),x65572))+P1(f862(f862(f227(x65571),f16(x65571,x65572)),x65573)) % 186.59/186.36 [6621]P149(x66212,x66211,x66213)+E(x66211,f2(a1))+P1(f862(f862(f228(a1),x66211),f867(x66213,x66211,x66212)))+P1(f862(f862(f228(a1),f2(a1)),x66211)) % 186.59/186.36 [6622]P148(x66222,x66221,x66223)+E(x66221,f2(a1))+P1(f862(f862(f228(a1),x66221),f872(x66223,x66221,x66222)))+P1(f862(f862(f228(a1),f2(a1)),x66221)) % 186.59/186.36 [6623]~P109(x66231)+E(f862(f862(f225(x66231),x66232),f13(x66231,f225(x66231),x66233)),f13(x66231,f225(x66231),x66233))+~P1(f862(f54(x66231),x66233))+~P1(f862(f862(f321(x66231),x66232),x66233)) % 186.59/186.36 [6624]~P109(x66241)+E(f862(f862(f226(x66241),x66242),f14(x66241,f226(x66241),x66243)),f14(x66241,f226(x66241),x66243))+~P1(f862(f54(x66241),x66243))+~P1(f862(f862(f321(x66241),x66242),x66243)) % 186.59/186.36 [6629]~P1(f862(x66291,x66292))+P1(f862(x66291,f437(x66292,x66291,x66293)))+P1(f862(x66291,f2(a924)))+~P1(f862(f862(f228(a924),x66292),x66293)) % 186.59/186.36 [6669]~P1(f862(f862(f278(a924),x66692),x66691))+~P1(f862(f862(f278(a924),x66691),x66693))+P1(f862(f862(f278(a924),x66691),x66692))+P1(f862(f862(f278(a924),x66692),x66693)) % 186.59/186.36 [6688]~P1(f862(x66881,x66882))+~P1(f862(f54(x66883),x66882))+P1(f862(x66881,f876(x66881,x66882,x66883)))+P1(f862(x66881,f181(f932(x66883,a921)))) % 186.59/186.36 [6701]~P112(x67011)+~P98(x67011)+P1(f862(f862(f227(x67011),f862(f96(x67011),x67012)),f862(f96(x67011),x67013)))+~P1(f862(f862(f227(a1),x67012),x67013)) % 186.59/186.36 [6702]~P112(x67021)+~P98(x67021)+P1(f862(f862(f228(x67021),f862(f96(x67021),x67022)),f862(f96(x67021),x67023)))+~P1(f862(f862(f228(a1),x67022),x67023)) % 186.59/186.36 [6705]~P1(f862(x67051,x67053))+~P1(f862(f54(x67052),x67053))+P1(f862(f54(x67052),f876(x67051,x67053,x67052)))+P1(f862(x67051,f181(f932(x67052,a921)))) % 186.59/186.36 [6740]P148(x67401,x67402,x67403)+~P1(f862(x67401,x67403))+P1(f862(f862(f228(a1),x67402),f872(x67403,x67402,x67401)))+P1(f862(f862(f228(a1),f2(a1)),x67402)) % 186.59/186.36 [6778]P149(x67781,x67782,x67783)+P1(f862(f862(f228(a1),x67782),f867(x67783,x67782,x67781)))+~P1(f862(x67781,f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x67782)) % 186.59/186.36 [6808]~P108(x68081)+~P99(x68081)+E(f862(f862(f225(x68081),f862(f96(x68081),x68082)),f862(f96(x68081),x68083)),f862(f96(x68081),x68083))+P1(f862(f862(f227(x68081),f862(f96(x68081),x68082)),f862(f96(x68081),x68083))) % 186.59/186.36 [6809]~P108(x68091)+~P99(x68091)+E(f862(f862(f226(x68091),f862(f96(x68091),x68092)),f862(f96(x68091),x68093)),f862(f96(x68091),x68092))+P1(f862(f862(f227(x68091),f862(f96(x68091),x68092)),f862(f96(x68091),x68093))) % 186.59/186.36 [6822]~P1(f862(f862(f278(a924),x68221),x68223))+~P1(f862(f862(f278(a924),x68222),x68221))+~P1(f862(f862(f278(a924),x68223),x68222))+P1(f862(f862(f278(a924),x68221),x68222)) % 186.59/186.36 [6869]P149(x68692,x68691,x68693)+E(x68691,f2(a1))+~P1(f862(x68692,f871(x68693,x68691,x68692)))+P1(f862(f862(f228(a1),f2(a1)),x68691)) % 186.59/186.36 [6870]P148(x68702,x68701,x68703)+E(x68701,f2(a1))+~P1(f862(x68702,f872(x68703,x68701,x68702)))+P1(f862(f862(f228(a1),f2(a1)),x68701)) % 186.59/186.36 [6874]P1(f862(x68741,x68742))+~P1(f862(f54(x68743),x68742))+P1(f862(x68741,f441(x68741,x68742,x68743)))+~P1(f862(x68741,f181(f932(x68743,a921)))) % 186.59/186.36 [6894]P1(f862(x68941,x68942))+P1(f862(f54(x68943),f441(x68941,x68942,x68943)))+~P1(f862(f54(x68943),x68942))+~P1(f862(x68941,f181(f932(x68943,a921)))) % 186.59/186.36 [6960]P148(x69601,x69602,x69603)+~P1(f862(x69601,x69603))+~P1(f862(x69601,f872(x69603,x69602,x69601)))+P1(f862(f862(f228(a1),f2(a1)),x69602)) % 186.59/186.36 [6991]P149(x69911,x69912,x69913)+~P1(f862(x69911,f871(x69913,x69912,x69911)))+~P1(f862(x69911,f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x69912)) % 186.59/186.36 [7099]~P98(x70993)+~P112(x70993)+~P1(f862(f862(f227(x70993),f862(f96(x70993),x70991)),f862(f96(x70993),x70992)))+P1(f862(f862(f227(a1),x70991),x70992)) % 186.59/186.36 [7100]~P98(x71003)+~P112(x71003)+~P1(f862(f862(f228(x71003),f862(f96(x71003),x71001)),f862(f96(x71003),x71002)))+P1(f862(f862(f228(a1),x71001),x71002)) % 186.59/186.36 [7128]~P109(x71281)+~P11(x71281,x71283)+P11(x71281,f862(f862(f144(x71281),x71282),x71283))+~P1(f862(f862(f227(x71281),x71282),f717(x71283,x71282,x71281))) % 186.59/186.36 [7129]~P109(x71291)+~P11(x71291,x71293)+P11(x71291,f862(f862(f144(x71291),x71292),x71293))+~P1(f862(f862(f227(x71291),x71292),f719(x71293,x71292,x71291))) % 186.59/186.36 [7130]~P109(x71301)+~P11(x71301,x71303)+P11(x71301,f862(f862(f144(x71301),x71302),x71303))+~P1(f862(f862(f227(x71301),x71302),f758(x71302,x71303,x71301))) % 186.59/186.36 [7215]P149(x72152,x72151,x72153)+E(x72151,f2(a1))+P1(f862(f862(f228(a1),x72151),f2(a1)))+P1(f862(f862(f228(a1),f868(x72153,x72151,x72152)),x72151)) % 186.59/186.36 [7216]P148(x72162,x72161,x72163)+E(x72161,f2(a1))+P1(f862(f862(f228(a1),x72161),f2(a1)))+P1(f862(f862(f228(a1),f873(x72163,x72161,x72162)),x72161)) % 186.59/186.36 [7252]P149(x72522,x72521,x72523)+E(x72521,f2(a1))+P1(f862(f862(f227(a1),f867(x72523,x72521,x72522)),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x72521)) % 186.59/186.36 [7253]P148(x72532,x72531,x72533)+E(x72531,f2(a1))+P1(f862(f862(f227(a1),f872(x72533,x72531,x72532)),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x72531)) % 186.59/186.36 [7279]~P109(x72791)+~P11(x72791,x72793)+E(f862(f862(f141(x72791,x72791,f7(x72791)),x72792),f163(x72791,x72792,x72793)),x72793)+~P1(f862(f862(f321(x72791),x72792),f862(f165(x72791),x72793))) % 186.59/186.36 [7326]P148(x73261,x73262,x73263)+~P1(f862(x73261,x73263))+P1(f862(f862(f228(a1),x73262),f2(a1)))+P1(f862(f862(f228(a1),f873(x73263,x73262,x73261)),x73262)) % 186.59/186.36 [7332]~P108(x73321)+~P99(x73321)+E(f862(f862(f225(x73321),f862(f96(x73321),x73322)),f862(f96(x73321),x73323)),f862(f96(x73321),x73322))+~P1(f862(f862(f227(x73321),f862(f96(x73321),x73322)),f862(f96(x73321),x73323))) % 186.59/186.36 [7333]~P108(x73331)+~P99(x73331)+E(f862(f862(f226(x73331),f862(f96(x73331),x73332)),f862(f96(x73331),x73333)),f862(f96(x73331),x73333))+~P1(f862(f862(f227(x73331),f862(f96(x73331),x73332)),f862(f96(x73331),x73333))) % 186.59/186.36 [7347]P149(x73471,x73472,x73473)+~P1(f862(x73471,f2(a1)))+P1(f862(f862(f228(a1),x73472),f2(a1)))+P1(f862(f862(f228(a1),f868(x73473,x73472,x73471)),x73472)) % 186.59/186.36 [7357]P148(x73571,x73572,x73573)+~P1(f862(x73571,x73573))+P1(f862(f862(f227(a1),f872(x73573,x73572,x73571)),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x73572)) % 186.59/186.36 [7381]P149(x73811,x73812,x73813)+~P1(f862(x73811,f2(a1)))+P1(f862(f862(f227(a1),f867(x73813,x73812,x73811)),f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x73812)) % 186.59/186.36 [7409]~P1(f862(x74091,x74092))+P1(f862(x74091,f2(a924)))+~P1(f862(f862(f228(a924),x74092),x74093))+P1(f862(f862(f228(a924),f437(x74092,x74091,x74093)),x74093)) % 186.59/186.36 [7426]~P109(x74261)+~P11(x74261,x74263)+P11(x74261,f862(f862(f144(x74261),x74262),x74263))+P1(f862(f862(f321(x74261),f717(x74263,x74262,x74261)),f862(f165(x74261),x74263))) % 186.59/186.36 [7427]~P109(x74271)+~P11(x74271,x74273)+P11(x74271,f862(f862(f144(x74271),x74272),x74273))+P1(f862(f862(f321(x74271),f719(x74273,x74272,x74271)),f862(f165(x74271),x74273))) % 186.59/186.36 [7428]~P109(x74281)+~P11(x74281,x74283)+P11(x74281,f862(f862(f144(x74281),x74282),x74283))+P1(f862(f862(f321(x74281),f758(x74282,x74283,x74281)),f862(f165(x74281),x74283))) % 186.59/186.36 [7543]~P3(x75431)+~P109(x75431)+~P1(f862(f862(f228(x75431),x75433),f30(x75431,x75432)))+P1(f862(f862(f321(x75431),f724(x75432,x75433,x75431)),x75432)) % 186.59/186.36 [7697]~P3(x76971)+~P109(x76971)+~P1(f862(f862(f228(x76971),f31(x76971,x76973)),x76972))+P1(f862(f862(f321(x76971),f734(x76972,x76973,x76971)),x76973)) % 186.59/186.36 [7698]~P3(x76981)+~P109(x76981)+~P1(f862(f862(f228(x76981),f31(x76981,x76983)),x76982))+P1(f862(f862(f228(x76981),f734(x76982,x76983,x76981)),x76982)) % 186.59/186.36 [7709]P149(x77092,x77091,x77093)+E(x77091,f2(a1))+P1(f862(f862(f228(a1),x77091),f867(x77093,x77091,x77092)))+P1(f862(f862(f228(a1),f868(x77093,x77091,x77092)),x77091)) % 186.59/186.36 [7710]P148(x77102,x77101,x77103)+E(x77101,f2(a1))+P1(f862(f862(f228(a1),x77101),f872(x77103,x77101,x77102)))+P1(f862(f862(f228(a1),f873(x77103,x77101,x77102)),x77101)) % 186.59/186.36 [7804]P149(x78043,x78041,x78042)+E(x78041,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x78041),f871(x78042,x78041,x78043))),f867(x78042,x78041,x78043)),x78042)+P1(f862(f862(f228(a1),f2(a1)),x78041)) % 186.59/186.36 [7805]P148(x78053,x78051,x78052)+E(x78051,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x78051),f875(x78052,x78051,x78053))),f872(x78052,x78051,x78053)),x78052)+P1(f862(f862(f228(a1),f2(a1)),x78051)) % 186.59/186.36 [7808]~P136(x78081)+~P1(f862(f862(f227(x78081),x78083),f2(x78081)))+P1(f862(f862(f227(x78081),f862(f862(f74(x78081),x78082),x78083)),f2(x78081)))+~P1(f862(f862(f227(x78081),f2(x78081)),x78082)) % 186.59/186.36 [7810]~P136(x78101)+~P1(f862(f862(f227(x78101),x78102),f2(x78101)))+P1(f862(f862(f227(x78101),f862(f862(f74(x78101),x78102),x78103)),f2(x78101)))+~P1(f862(f862(f227(x78101),f2(x78101)),x78103)) % 186.59/186.36 [7811]~P128(x78111)+~P1(f862(f862(f227(x78111),x78113),f2(x78111)))+P1(f862(f862(f227(x78111),f862(f862(f74(x78111),x78112),x78113)),f2(x78111)))+~P1(f862(f862(f227(x78111),f2(x78111)),x78112)) % 186.59/186.36 [7812]~P128(x78121)+~P1(f862(f862(f227(x78121),x78122),f2(x78121)))+P1(f862(f862(f227(x78121),f862(f862(f74(x78121),x78122),x78123)),f2(x78121)))+~P1(f862(f862(f227(x78121),f2(x78121)),x78123)) % 186.59/186.36 [7813]~P66(x78131)+~P1(f862(f862(f227(x78131),x78133),f2(x78131)))+P1(f862(f862(f227(x78131),f862(f862(f282(x78131),x78132),x78133)),f2(x78131)))+~P1(f862(f862(f227(x78131),f2(x78131)),x78132)) % 186.59/186.36 [7814]~P66(x78141)+~P1(f862(f862(f227(x78141),x78142),f2(x78141)))+P1(f862(f862(f227(x78141),f862(f862(f282(x78141),x78142),x78143)),f2(x78141)))+~P1(f862(f862(f227(x78141),f2(x78141)),x78143)) % 186.59/186.36 [7815]~P67(x78151)+~P1(f862(f862(f227(x78151),x78152),f2(x78151)))+P1(f862(f862(f227(x78151),f862(f862(f282(x78151),x78152),x78153)),f2(x78151)))+~P1(f862(f862(f228(x78151),f2(x78151)),x78153)) % 186.59/186.36 [7816]~P67(x78161)+~P1(f862(f862(f228(x78161),x78163),f2(x78161)))+P1(f862(f862(f227(x78161),f862(f862(f282(x78161),x78162),x78163)),f2(x78161)))+~P1(f862(f862(f227(x78161),f2(x78161)),x78162)) % 186.59/186.36 [7818]~P135(x78181)+~P1(f862(f862(f228(x78181),x78183),f2(x78181)))+P1(f862(f862(f228(x78181),f862(f862(f74(x78181),x78182),x78183)),f2(x78181)))+~P1(f862(f862(f228(x78181),f2(x78181)),x78182)) % 186.59/186.36 [7819]~P135(x78191)+~P1(f862(f862(f228(x78191),x78192),f2(x78191)))+P1(f862(f862(f228(x78191),f862(f862(f74(x78191),x78192),x78193)),f2(x78191)))+~P1(f862(f862(f228(x78191),f2(x78191)),x78193)) % 186.59/186.36 [7820]~P66(x78201)+~P1(f862(f862(f228(x78201),x78203),f2(x78201)))+P1(f862(f862(f228(x78201),f862(f862(f282(x78201),x78202),x78203)),f2(x78201)))+~P1(f862(f862(f228(x78201),f2(x78201)),x78202)) % 186.59/186.36 [7821]~P66(x78211)+~P1(f862(f862(f228(x78211),x78212),f2(x78211)))+P1(f862(f862(f228(x78211),f862(f862(f282(x78211),x78212),x78213)),f2(x78211)))+~P1(f862(f862(f228(x78211),f2(x78211)),x78213)) % 186.59/186.36 [7822]~P67(x78221)+~P1(f862(f862(f228(x78221),x78223),f2(x78221)))+P1(f862(f862(f228(x78221),f862(f862(f282(x78221),x78222),x78223)),f2(x78221)))+~P1(f862(f862(f228(x78221),f2(x78221)),x78222)) % 186.59/186.36 [7823]~P67(x78231)+~P1(f862(f862(f228(x78231),x78232),f2(x78231)))+P1(f862(f862(f228(x78231),f862(f862(f282(x78231),x78232),x78233)),f2(x78231)))+~P1(f862(f862(f228(x78231),f2(x78231)),x78233)) % 186.59/186.36 [7838]P148(x78381,x78382,x78383)+~P1(f862(x78381,x78383))+P1(f862(f862(f228(a1),x78382),f872(x78383,x78382,x78381)))+P1(f862(f862(f228(a1),f873(x78383,x78382,x78381)),x78382)) % 186.59/186.36 [7851]P149(x78511,x78512,x78513)+P1(f862(f862(f228(a1),x78512),f867(x78513,x78512,x78511)))+~P1(f862(x78511,f2(a1)))+P1(f862(f862(f228(a1),f868(x78513,x78512,x78511)),x78512)) % 186.59/186.36 [7903]P149(x79032,x79031,x79033)+E(x79031,f2(a1))+~P1(f862(x79032,f871(x79033,x79031,x79032)))+P1(f862(f862(f228(a1),f868(x79033,x79031,x79032)),x79031)) % 186.59/186.36 [7904]P148(x79042,x79041,x79043)+E(x79041,f2(a1))+~P1(f862(x79042,f872(x79043,x79041,x79042)))+P1(f862(f862(f228(a1),f873(x79043,x79041,x79042)),x79041)) % 186.59/186.36 [7914]P148(x79143,x79141,x79142)+~P1(f862(x79143,x79142))+E(f862(f862(f73(a1),f862(f862(f74(a1),x79141),f875(x79142,x79141,x79143))),f872(x79142,x79141,x79143)),x79142)+P1(f862(f862(f228(a1),f2(a1)),x79141)) % 186.59/186.36 [7929]P149(x79293,x79291,x79292)+E(f862(f862(f73(a1),f862(f862(f74(a1),x79291),f871(x79292,x79291,x79293))),f867(x79292,x79291,x79293)),x79292)+~P1(f862(x79293,f2(a1)))+P1(f862(f862(f228(a1),f2(a1)),x79291)) % 186.59/186.36 [7957]~P1(f862(x79571,x79573))+~P1(f862(f54(x79572),x79573))+P1(f862(f862(f321(x79572),f877(x79571,x79573,x79572)),f876(x79571,x79573,x79572)))+P1(f862(x79571,f181(f932(x79572,a921)))) % 186.59/186.36 [7968]P148(x79681,x79682,x79683)+~P1(f862(x79681,x79683))+~P1(f862(x79681,f872(x79683,x79682,x79681)))+P1(f862(f862(f228(a1),f873(x79683,x79682,x79681)),x79682)) % 186.59/186.36 [7974]P149(x79741,x79742,x79743)+~P1(f862(x79741,f871(x79743,x79742,x79741)))+~P1(f862(x79741,f2(a1)))+P1(f862(f862(f228(a1),f868(x79743,x79742,x79741)),x79742)) % 186.59/186.36 [8076]~P128(x80761)+~P1(f862(f862(f227(x80761),f862(f862(f74(x80761),x80763),x80762)),f2(x80761)))+P1(f862(f862(f227(x80761),x80762),f2(x80761)))+P1(f862(f862(f227(x80761),f2(x80761)),x80762)) % 186.59/186.36 [8077]~P128(x80771)+~P1(f862(f862(f227(x80771),f862(f862(f74(x80771),x80772),x80773)),f2(x80771)))+P1(f862(f862(f227(x80771),x80772),f2(x80771)))+P1(f862(f862(f227(x80771),f2(x80771)),x80772)) % 186.59/186.36 [8078]~P66(x80781)+~P1(f862(f862(f227(x80781),f862(f862(f282(x80781),x80783),x80782)),f2(x80781)))+P1(f862(f862(f227(x80781),x80782),f2(x80781)))+P1(f862(f862(f227(x80781),f2(x80781)),x80782)) % 186.59/186.36 [8079]~P66(x80791)+~P1(f862(f862(f227(x80791),f862(f862(f282(x80791),x80792),x80793)),f2(x80791)))+P1(f862(f862(f227(x80791),x80792),f2(x80791)))+P1(f862(f862(f227(x80791),f2(x80791)),x80792)) % 186.59/186.36 [8080]~P66(x80801)+~P1(f862(f862(f228(x80801),f862(f862(f282(x80801),x80803),x80802)),f2(x80801)))+P1(f862(f862(f228(x80801),x80802),f2(x80801)))+P1(f862(f862(f228(x80801),f2(x80801)),x80802)) % 186.59/186.36 [8081]~P66(x80811)+~P1(f862(f862(f228(x80811),f862(f862(f282(x80811),x80812),x80813)),f2(x80811)))+P1(f862(f862(f228(x80811),x80812),f2(x80811)))+P1(f862(f862(f228(x80811),f2(x80811)),x80812)) % 186.59/186.36 [8106]~P128(x81061)+~P1(f862(f862(f227(x81061),f862(f862(f74(x81061),x81062),x81063)),f2(x81061)))+P1(f862(f862(f227(x81061),f2(x81061)),x81062))+P1(f862(f862(f227(x81061),f2(x81061)),x81063)) % 186.59/186.36 [8107]~P66(x81071)+~P1(f862(f862(f227(x81071),f862(f862(f282(x81071),x81072),x81073)),f2(x81071)))+P1(f862(f862(f227(x81071),f2(x81071)),x81072))+P1(f862(f862(f227(x81071),f2(x81071)),x81073)) % 186.59/186.36 [8108]~P66(x81081)+~P1(f862(f862(f228(x81081),f862(f862(f282(x81081),x81082),x81083)),f2(x81081)))+P1(f862(f862(f228(x81081),f2(x81081)),x81082))+P1(f862(f862(f228(x81081),f2(x81081)),x81083)) % 186.59/186.36 [8130]P149(x81302,x81301,x81303)+E(x81301,f2(a1))+P1(f862(f862(f227(a1),f867(x81303,x81301,x81302)),f2(a1)))+P1(f862(f862(f228(a1),f868(x81303,x81301,x81302)),x81301)) % 186.59/186.36 [8131]P148(x81312,x81311,x81313)+E(x81311,f2(a1))+P1(f862(f862(f227(a1),f872(x81313,x81311,x81312)),f2(a1)))+P1(f862(f862(f228(a1),f873(x81313,x81311,x81312)),x81311)) % 186.59/186.36 [8138]~P127(x81381)+~P1(f862(f862(f228(x81381),x81382),f71(x81381)))+P1(f862(f862(f228(x81381),f862(f862(f236(x81381),x81382),f862(a105,x81383))),f71(x81381)))+~P1(f862(f862(f228(x81381),f2(x81381)),x81382)) % 186.59/186.36 [8193]~P109(x81931)+~E(x81933,f106(x81931))+~P11(x81931,f862(f161(x81931),x81933))+E(f862(f135(x81931,x81931,f862(f9(x81931,x81931,x81931),f226(x81931)),x81932),f862(f161(x81931),x81933)),x81932) % 186.59/186.36 [8197]P148(x81971,x81972,x81973)+~P1(f862(x81971,x81973))+P1(f862(f862(f227(a1),f872(x81973,x81972,x81971)),f2(a1)))+P1(f862(f862(f228(a1),f873(x81973,x81972,x81971)),x81972)) % 186.59/186.36 [8204]P149(x82041,x82042,x82043)+~P1(f862(x82041,f2(a1)))+P1(f862(f862(f227(a1),f867(x82043,x82042,x82041)),f2(a1)))+P1(f862(f862(f228(a1),f868(x82043,x82042,x82041)),x82042)) % 186.59/186.36 [8424]P149(x84243,x84241,x84242)+E(x84241,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x84241),f871(x84242,x84241,x84243))),f867(x84242,x84241,x84243)),x84242)+P1(f862(f862(f228(a1),f868(x84242,x84241,x84243)),x84241)) % 186.59/186.36 [8425]P148(x84253,x84251,x84252)+E(x84251,f2(a1))+E(f862(f862(f73(a1),f862(f862(f74(a1),x84251),f875(x84252,x84251,x84253))),f872(x84252,x84251,x84253)),x84252)+P1(f862(f862(f228(a1),f873(x84252,x84251,x84253)),x84251)) % 186.59/186.36 [8460]P148(x84603,x84601,x84602)+~P1(f862(x84603,x84602))+E(f862(f862(f73(a1),f862(f862(f74(a1),x84601),f875(x84602,x84601,x84603))),f872(x84602,x84601,x84603)),x84602)+P1(f862(f862(f228(a1),f873(x84602,x84601,x84603)),x84601)) % 186.59/186.36 [8461]~P71(x84611)+~P72(x84611)+~P38(x84613)+E(f862(f862(f8(a924,x84611),f862(f862(f10(a1,x84611,a924),x84612),f93(a1))),f862(f302(a1,a924,a97),x84613)),f862(f862(f8(a1,x84611),x84612),x84613)) % 186.59/186.36 [8462]~P71(x84621)+~P72(x84621)+~P38(x84623)+E(f862(f862(f11(a924,x84621),f862(f862(f10(a1,x84621,a924),x84622),f93(a1))),f862(f302(a1,a924,a97),x84623)),f862(f862(f11(a1,x84621),x84622),x84623)) % 186.59/186.36 [8471]P149(x84713,x84711,x84712)+E(f862(f862(f73(a1),f862(f862(f74(a1),x84711),f871(x84712,x84711,x84713))),f867(x84712,x84711,x84713)),x84712)+~P1(f862(x84713,f2(a1)))+P1(f862(f862(f228(a1),f868(x84712,x84711,x84713)),x84711)) % 186.59/186.36 [8493]~E(x84932,f2(a924))+~E(f862(f243(a924,a924),x84933),f2(a924))+~E(x84931,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x84933)),x84932)),f862(f248(a924,a924),x84933)))+P1(f862(f41(x84931,x84932),x84933)) % 186.59/186.36 [8549]P1(f862(x85491,x85492))+~P1(f862(f862(f321(x85493),f442(x85491,x85492,x85493)),f441(x85491,x85492,x85493)))+~P1(f862(f54(x85493),x85492))+~P1(f862(x85491,f181(f932(x85493,a921)))) % 186.59/186.36 [9179]P1(f862(x91791,x91792))+~P1(f862(f54(x91793),x91792))+~P1(f862(x91791,f862(f862(f301(x91793),f442(x91791,x91792,x91793)),f441(x91791,x91792,x91793))))+~P1(f862(x91791,f181(f932(x91793,a921)))) % 186.59/186.36 [9411]P1(f862(f862(f227(a1),x94111),f2(a1)))+~P1(f862(f862(f228(a1),f862(f862(f73(a1),f862(f862(f74(a1),x94113),x94111)),x94112)),f2(a1)))+~P1(f862(f862(f227(a1),f2(a1)),x94112))+~P1(f862(f862(f228(a1),f2(a1)),x94113)) % 186.59/186.36 [10187]E(x101871,x101872)+~E(f862(f85(x101873),x101871),f862(f85(x101873),x101872))+~P1(f862(f862(f321(f932(f922(f930(a919,f932(x101873,f932(a920,a921))),f930(a920,x101873)),a921)),x101871),f862(f254(f932(f922(f930(a919,f932(x101873,f932(a920,a921))),f930(a920,x101873)),a921)),f88(x101873))))+~P1(f862(f862(f321(f932(f922(f930(a919,f932(x101873,f932(a920,a921))),f930(a920,x101873)),a921)),x101872),f862(f254(f932(f922(f930(a919,f932(x101873,f932(a920,a921))),f930(a920,x101873)),a921)),f88(x101873)))) % 186.59/186.36 [5980]~P93(x59802)+E(x59801,f181(f932(x59802,a921)))+~P1(f862(f54(x59802),x59801))+E(f12(x59802,f862(f862(f301(x59802),x59803),x59801)),f862(f862(f94(x59802),x59803),f12(x59802,x59801))) % 186.59/186.36 [5981]~P93(x59812)+E(x59811,f181(f932(x59812,a921)))+~P1(f862(f54(x59812),x59811))+E(f15(x59812,f862(f862(f301(x59812),x59813),x59811)),f862(f862(f103(x59812),x59813),f15(x59812,x59811))) % 186.59/186.36 [5982]~P109(x59822)+E(x59821,f181(f932(x59822,a921)))+~P1(f862(f54(x59822),x59821))+E(f16(x59822,f862(f862(f301(x59822),x59823),x59821)),f862(f862(f225(x59822),x59823),f16(x59822,x59821))) % 186.59/186.36 [5983]~P109(x59832)+E(x59831,f181(f932(x59832,a921)))+~P1(f862(f54(x59832),x59831))+E(f17(x59832,f862(f862(f301(x59832),x59833),x59831)),f862(f862(f226(x59832),x59833),f17(x59832,x59831))) % 186.59/186.36 [6305]~P128(x63051)+~E(x63053,f2(x63051))+~E(x63052,f2(x63051))+E(f862(f862(f73(x63051),f862(f862(f74(x63051),x63052),x63052)),f862(f862(f74(x63051),x63053),x63053)),f2(x63051)) % 186.59/186.36 [6377]~P100(x63772)+E(x63771,f181(f932(x63772,a921)))+~P1(f862(f54(x63772),x63771))+E(f862(f56(x63772,f74(x63772)),f862(f862(f301(x63772),x63773),x63771)),f862(f862(f74(x63772),x63773),f862(f56(x63772,f74(x63772)),x63771))) % 186.59/186.36 [6507]~P109(x65072)+E(x65071,f181(f932(x65072,a921)))+~P1(f862(f54(x65072),x65071))+E(f13(x65072,f225(x65072),f862(f862(f301(x65072),x65073),x65071)),f862(f862(f225(x65072),x65073),f13(x65072,f225(x65072),x65071))) % 186.59/186.36 [6508]~P109(x65082)+E(x65081,f181(f932(x65082,a921)))+~P1(f862(f54(x65082),x65081))+E(f14(x65082,f226(x65082),f862(f862(f301(x65082),x65083),x65081)),f862(f862(f226(x65082),x65083),f14(x65082,f226(x65082),x65081))) % 186.59/186.36 [7025]~P69(x70251)+~P1(f862(f54(x70251),x70253))+E(f862(f56(x70251,f74(x70251)),f862(f862(f301(x70251),x70252),x70253)),f862(f862(f57(x70251,x70251,f74(x70251)),x70252),x70253))+P1(f862(f862(f321(x70251),x70252),x70253)) % 186.59/186.36 [7106]~E(f862(f862(f73(a1),x71062),f862(f862(f74(a1),x71063),x71061)),x71063)+~P1(f862(f862(f228(a1),f2(a1)),x71063))+P1(f862(f862(f227(a1),f71(a1)),x71061))+~P1(f862(f862(f228(a1),x71062),x71063)) % 186.59/186.36 [7135]~E(f862(f862(f73(a1),x71352),f862(f862(f74(a1),x71353),x71351)),x71353)+P1(f862(f862(f227(a1),x71351),f71(a1)))+~P1(f862(f862(f227(a1),f2(a1)),x71352))+~P1(f862(f862(f228(a1),f2(a1)),x71353)) % 186.59/186.36 [7153]E(x71531,f2(a924))+~P1(f862(f41(x71533,x71531),x71532))+~P1(f862(f862(f228(a924),f2(a924)),x71531))+P1(f862(f862(f228(a924),f862(f248(a924,a924),x71532)),x71531)) % 186.59/186.36 [7183]~P139(x71831)+~P1(f862(f862(f227(x71831),x71832),f2(x71831)))+~P1(f862(f862(f227(x71831),x71833),f2(x71831)))+E(f862(f862(f74(x71831),f862(f69(x71831),x71832)),f862(f69(x71831),x71833)),f862(f69(x71831),f862(f862(f74(x71831),x71832),x71833))) % 186.59/186.36 [7229]~P139(x72291)+~P1(f862(f862(f227(x72291),x72292),f2(x72291)))+E(f862(f862(f74(x72291),f862(f69(x72291),x72292)),f862(f69(x72291),x72293)),f862(f69(x72291),f862(f862(f74(x72291),x72292),x72293)))+~P1(f862(f862(f227(x72291),f2(x72291)),x72293)) % 186.59/186.36 [7230]~P139(x72301)+~P1(f862(f862(f227(x72301),x72303),f2(x72301)))+E(f862(f862(f74(x72301),f862(f69(x72301),x72302)),f862(f69(x72301),x72303)),f862(f69(x72301),f862(f862(f74(x72301),x72302),x72303)))+~P1(f862(f862(f227(x72301),f2(x72301)),x72302)) % 186.59/186.36 [7287]~P139(x72871)+E(f862(f862(f74(x72871),f862(f69(x72871),x72872)),f862(f69(x72871),x72873)),f862(f69(x72871),f862(f862(f74(x72871),x72872),x72873)))+~P1(f862(f862(f227(x72871),f2(x72871)),x72872))+~P1(f862(f862(f227(x72871),f2(x72871)),x72873)) % 186.59/186.36 [7304]~P126(x73041)+~P1(f862(f862(f227(x73041),x73043),f2(x73041)))+~P1(f862(f862(f227(x73041),x73042),f2(x73041)))+P1(f862(f862(f227(x73041),f2(x73041)),f862(f862(f74(x73041),x73042),x73043))) % 186.59/186.36 [7305]~P128(x73051)+~P1(f862(f862(f227(x73051),x73053),f2(x73051)))+~P1(f862(f862(f227(x73051),x73052),f2(x73051)))+P1(f862(f862(f227(x73051),f2(x73051)),f862(f862(f74(x73051),x73052),x73053))) % 186.59/186.36 [7306]~P66(x73061)+~P1(f862(f862(f227(x73061),x73063),f2(x73061)))+~P1(f862(f862(f227(x73061),x73062),f2(x73061)))+P1(f862(f862(f227(x73061),f2(x73061)),f862(f862(f282(x73061),x73062),x73063))) % 186.59/186.36 [7307]~P67(x73071)+~P1(f862(f862(f228(x73071),x73073),f2(x73071)))+~P1(f862(f862(f227(x73071),x73072),f2(x73071)))+P1(f862(f862(f227(x73071),f2(x73071)),f862(f862(f282(x73071),x73072),x73073))) % 186.59/186.36 [7308]~P128(x73081)+~P1(f862(f862(f228(x73081),x73083),f2(x73081)))+~P1(f862(f862(f228(x73081),x73082),f2(x73081)))+P1(f862(f862(f228(x73081),f2(x73081)),f862(f862(f74(x73081),x73082),x73083))) % 186.59/186.36 [7309]~P66(x73091)+~P1(f862(f862(f228(x73091),x73093),f2(x73091)))+~P1(f862(f862(f228(x73091),x73092),f2(x73091)))+P1(f862(f862(f228(x73091),f2(x73091)),f862(f862(f282(x73091),x73092),x73093))) % 186.59/186.36 [7310]~P67(x73101)+~P1(f862(f862(f228(x73101),x73103),f2(x73101)))+~P1(f862(f862(f228(x73101),x73102),f2(x73101)))+P1(f862(f862(f228(x73101),f2(x73101)),f862(f862(f282(x73101),x73102),x73103))) % 186.59/186.36 [7311]~P127(x73111)+~P1(f862(f862(f228(a924),f2(a924)),x73113))+~P1(f862(f862(f228(x73111),f71(x73111)),x73112))+P1(f862(f862(f228(x73111),f71(x73111)),f862(f862(f236(x73111),x73112),x73113))) % 186.59/186.36 [7410]~P126(x74101)+~P1(f862(f862(f227(x74101),f2(x74101)),x74103))+~P1(f862(f862(f227(x74101),f2(x74101)),x74102))+P1(f862(f862(f227(x74101),f2(x74101)),f862(f862(f74(x74101),x74102),x74103))) % 186.59/186.36 [7411]~P136(x74111)+~P1(f862(f862(f227(x74111),f2(x74111)),x74113))+~P1(f862(f862(f227(x74111),f2(x74111)),x74112))+P1(f862(f862(f227(x74111),f2(x74111)),f862(f862(f74(x74111),x74112),x74113))) % 186.59/186.36 [7412]~P128(x74121)+~P1(f862(f862(f227(x74121),f2(x74121)),x74123))+~P1(f862(f862(f227(x74121),f2(x74121)),x74122))+P1(f862(f862(f227(x74121),f2(x74121)),f862(f862(f74(x74121),x74122),x74123))) % 186.59/186.36 [7414]~P66(x74141)+~P1(f862(f862(f227(x74141),f2(x74141)),x74143))+~P1(f862(f862(f227(x74141),f2(x74141)),x74142))+P1(f862(f862(f227(x74141),f2(x74141)),f862(f862(f282(x74141),x74142),x74143))) % 186.59/186.36 [7415]~P67(x74151)+~P1(f862(f862(f228(x74151),f2(x74151)),x74153))+~P1(f862(f862(f227(x74151),f2(x74151)),x74152))+P1(f862(f862(f227(x74151),f2(x74151)),f862(f862(f282(x74151),x74152),x74153))) % 186.59/186.36 [7416]~P127(x74161)+~P1(f862(f862(f228(x74161),f71(x74161)),x74163))+~P1(f862(f862(f228(x74161),f71(x74161)),x74162))+P1(f862(f862(f228(x74161),f71(x74161)),f862(f862(f74(x74161),x74162),x74163))) % 186.59/186.36 [7417]~P135(x74171)+~P1(f862(f862(f228(x74171),f2(x74171)),x74173))+~P1(f862(f862(f228(x74171),f2(x74171)),x74172))+P1(f862(f862(f228(x74171),f2(x74171)),f862(f862(f74(x74171),x74172),x74173))) % 186.59/186.36 [7420]~P87(x74201)+~P1(f862(f862(f228(x74201),f2(x74201)),x74203))+~P1(f862(f862(f228(x74201),f2(x74201)),x74202))+P1(f862(f862(f228(x74201),f2(x74201)),f862(f862(f73(x74201),x74202),x74203))) % 186.59/186.36 [7421]~P66(x74211)+~P1(f862(f862(f228(x74211),f2(x74211)),x74213))+~P1(f862(f862(f228(x74211),f2(x74211)),x74212))+P1(f862(f862(f228(x74211),f2(x74211)),f862(f862(f282(x74211),x74212),x74213))) % 186.59/186.36 [7422]~P67(x74221)+~P1(f862(f862(f228(x74221),f2(x74221)),x74223))+~P1(f862(f862(f228(x74221),f2(x74221)),x74222))+P1(f862(f862(f228(x74221),f2(x74221)),f862(f862(f282(x74221),x74222),x74223))) % 186.59/186.36 [7503]~P93(x75031)+~P1(f862(f54(x75031),x75033))+E(f12(x75031,f862(f862(f301(x75031),x75032),x75033)),x75032)+~E(f862(f862(f3(f932(x75031,a921)),x75033),f862(f862(f301(x75031),x75032),f181(f932(x75031,a921)))),f181(f932(x75031,a921))) % 186.59/186.36 [7504]~P93(x75041)+~P1(f862(f54(x75041),x75043))+E(f15(x75041,f862(f862(f301(x75041),x75042),x75043)),x75042)+~E(f862(f862(f3(f932(x75041,a921)),x75043),f862(f862(f301(x75041),x75042),f181(f932(x75041,a921)))),f181(f932(x75041,a921))) % 186.59/186.36 [7505]~P109(x75051)+~P1(f862(f54(x75051),x75053))+E(f16(x75051,f862(f862(f301(x75051),x75052),x75053)),x75052)+~E(f862(f862(f3(f932(x75051,a921)),x75053),f862(f862(f301(x75051),x75052),f181(f932(x75051,a921)))),f181(f932(x75051,a921))) % 186.59/186.36 [7506]~P109(x75061)+~P1(f862(f54(x75061),x75063))+E(f17(x75061,f862(f862(f301(x75061),x75062),x75063)),x75062)+~E(f862(f862(f3(f932(x75061,a921)),x75063),f862(f862(f301(x75061),x75062),f181(f932(x75061,a921)))),f181(f932(x75061,a921))) % 186.59/186.36 [7508]~P128(x75081)+P1(f862(f862(f227(x75081),x75082),f2(x75081)))+P1(f862(f862(f227(x75081),f2(x75081)),x75083))+~P1(f862(f862(f227(x75081),f2(x75081)),f862(f862(f74(x75081),x75083),x75082))) % 186.59/186.36 [7509]~P128(x75091)+P1(f862(f862(f227(x75091),x75092),f2(x75091)))+P1(f862(f862(f227(x75091),f2(x75091)),x75093))+~P1(f862(f862(f227(x75091),f2(x75091)),f862(f862(f74(x75091),x75092),x75093))) % 186.59/186.36 [7510]~P66(x75101)+P1(f862(f862(f227(x75101),x75102),f2(x75101)))+P1(f862(f862(f227(x75101),f2(x75101)),x75103))+~P1(f862(f862(f227(x75101),f2(x75101)),f862(f862(f282(x75101),x75103),x75102))) % 186.59/186.36 [7511]~P66(x75111)+P1(f862(f862(f227(x75111),x75112),f2(x75111)))+P1(f862(f862(f227(x75111),f2(x75111)),x75113))+~P1(f862(f862(f227(x75111),f2(x75111)),f862(f862(f282(x75111),x75112),x75113))) % 186.59/186.36 [7512]~P128(x75121)+P1(f862(f862(f227(x75121),x75122),f2(x75121)))+P1(f862(f862(f227(x75121),f2(x75121)),x75122))+~P1(f862(f862(f227(x75121),f2(x75121)),f862(f862(f74(x75121),x75123),x75122))) % 186.59/186.36 [7513]~P128(x75131)+P1(f862(f862(f227(x75131),x75132),f2(x75131)))+P1(f862(f862(f227(x75131),f2(x75131)),x75132))+~P1(f862(f862(f227(x75131),f2(x75131)),f862(f862(f74(x75131),x75132),x75133))) % 186.59/186.36 [7514]~P66(x75141)+P1(f862(f862(f227(x75141),x75142),f2(x75141)))+P1(f862(f862(f227(x75141),f2(x75141)),x75142))+~P1(f862(f862(f227(x75141),f2(x75141)),f862(f862(f282(x75141),x75143),x75142))) % 186.59/186.36 [7515]~P66(x75151)+P1(f862(f862(f227(x75151),x75152),f2(x75151)))+P1(f862(f862(f227(x75151),f2(x75151)),x75152))+~P1(f862(f862(f227(x75151),f2(x75151)),f862(f862(f282(x75151),x75152),x75153))) % 186.59/186.36 [7516]~P66(x75161)+P1(f862(f862(f228(x75161),x75162),f2(x75161)))+P1(f862(f862(f228(x75161),f2(x75161)),x75163))+~P1(f862(f862(f228(x75161),f2(x75161)),f862(f862(f282(x75161),x75163),x75162))) % 186.59/186.36 [7517]~P66(x75171)+P1(f862(f862(f228(x75171),x75172),f2(x75171)))+P1(f862(f862(f228(x75171),f2(x75171)),x75173))+~P1(f862(f862(f228(x75171),f2(x75171)),f862(f862(f282(x75171),x75172),x75173))) % 186.59/186.36 [7518]~P66(x75181)+P1(f862(f862(f228(x75181),x75182),f2(x75181)))+P1(f862(f862(f228(x75181),f2(x75181)),x75182))+~P1(f862(f862(f228(x75181),f2(x75181)),f862(f862(f282(x75181),x75183),x75182))) % 186.59/186.36 [7519]~P66(x75191)+P1(f862(f862(f228(x75191),x75192),f2(x75191)))+P1(f862(f862(f228(x75191),f2(x75191)),x75192))+~P1(f862(f862(f228(x75191),f2(x75191)),f862(f862(f282(x75191),x75192),x75193))) % 186.59/186.36 [7604]~E(f862(f862(f94(f932(x76041,a921)),f862(f165(x76041),x76042)),f862(f165(x76041),x76043)),f181(f932(x76041,a921)))+~P1(f862(f130(x76041),x76043))+~P1(f862(f130(x76041),x76042))+P1(f862(f130(x76041),f862(f862(f127(x76041),x76042),x76043))) % 186.59/186.36 [7605]~P109(x76051)+~P1(f862(f54(x76051),x76053))+E(f13(x76051,f225(x76051),f862(f862(f301(x76051),x76052),x76053)),x76052)+~E(f862(f862(f3(f932(x76051,a921)),x76053),f862(f862(f301(x76051),x76052),f181(f932(x76051,a921)))),f181(f932(x76051,a921))) % 186.59/186.36 [7606]~P109(x76061)+~P1(f862(f54(x76061),x76063))+E(f14(x76061,f226(x76061),f862(f862(f301(x76061),x76062),x76063)),x76062)+~E(f862(f862(f3(f932(x76061,a921)),x76063),f862(f862(f301(x76061),x76062),f181(f932(x76061,a921)))),f181(f932(x76061,a921))) % 186.59/186.36 [7619]~P86(x76191)+~P1(f862(f862(f227(x76191),x76192),x76193))+~P1(f862(f862(f227(x76191),f862(f72(x76191),x76192)),x76193))+P1(f862(f862(f227(x76191),f862(f69(x76191),x76192)),x76193)) % 186.59/186.36 [7620]~P112(x76201)+~P1(f862(f862(f228(x76201),x76202),x76203))+~P1(f862(f862(f228(x76201),f862(f72(x76201),x76202)),x76203))+P1(f862(f862(f228(x76201),f862(f69(x76201),x76202)),x76203)) % 186.59/186.36 [7687]~P135(x76871)+P1(f862(f862(f228(x76871),f2(x76871)),x76872))+~P1(f862(f862(f228(x76871),f2(x76871)),x76873))+~P1(f862(f862(f228(x76871),f2(x76871)),f862(f862(f74(x76871),x76873),x76872))) % 186.59/186.36 [7688]~P135(x76881)+P1(f862(f862(f228(x76881),f2(x76881)),x76882))+~P1(f862(f862(f228(x76881),f2(x76881)),x76883))+~P1(f862(f862(f228(x76881),f2(x76881)),f862(f862(f74(x76881),x76882),x76883))) % 186.59/186.36 [7988]E(x79881,x79882)+~P1(f862(f54(x79883),x79881))+~P1(f862(f862(f227(a924),f862(f28(x79883),x79881)),f862(f28(x79883),x79882)))+~P1(f862(f862(f227(f932(x79883,a921)),x79882),x79881)) % 186.59/186.36 [8135]~P1(f862(f862(f228(a1),x81351),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x81352))+~P1(f862(f862(f227(a1),x81352),x81353))+P1(f862(f862(f227(a1),f862(f862(f29(a1),x81351),x81352)),f862(f862(f29(a1),x81351),x81353))) % 186.59/186.36 [8145]~P1(f862(f862(f227(a1),f2(a1)),x81451))+~P1(f862(f862(f228(a1),f2(a1)),x81453))+~P1(f862(f862(f227(a1),x81453),x81452))+P1(f862(f862(f227(a1),f862(f862(f29(a1),x81451),x81452)),f862(f862(f29(a1),x81451),x81453))) % 186.59/186.36 [8282]E(f862(x82821,f433(x82822,x82821,x82823)),x82822)+~P1(f862(f862(f227(a1),x82822),f862(x82821,x82823)))+P1(f862(f862(f228(a924),f434(x82822,x82821,x82823)),x82823))+~P1(f862(f862(f227(a1),f862(x82821,f2(a924))),x82822)) % 186.59/186.36 [8283]E(f862(x82831,f439(x82832,x82831,x82833)),x82832)+~P1(f862(f862(f227(a1),x82832),f862(x82831,x82833)))+P1(f862(f862(f228(a924),f440(x82832,x82831,x82833)),x82833))+~P1(f862(f862(f227(a1),f862(x82831,f2(a924))),x82832)) % 186.59/186.36 [8387]~P1(f862(f54(x83871),x83873))+~P1(f862(f862(f228(a924),f862(f28(x83871),x83872)),f862(f28(x83871),x83873)))+~P1(f862(f862(f227(f932(x83871,a921)),x83872),x83873))+P1(f862(f862(f228(f932(x83871,a921)),x83872),x83873)) % 186.59/186.36 [8414]E(f862(f862(f73(a1),f385(x84143,x84141,x84142)),f386(x84143,x84141,x84142)),x84141)+E(f862(f862(f3(a1),x84141),x84142),x84141)+~P1(f862(f862(f228(a1),f2(a1)),x84142))+~P1(f862(f862(f321(a1),f862(f862(f3(a1),x84141),f71(a1))),x84143)) % 186.59/186.36 [8415]E(f862(f862(f3(a1),f393(x84153,x84151,x84152)),f394(x84153,x84151,x84152)),x84151)+E(f862(f862(f73(a1),x84151),x84152),x84151)+~P1(f862(f862(f228(a1),f2(a1)),x84152))+~P1(f862(f862(f321(a1),f862(f862(f73(a1),x84151),f71(a1))),x84153)) % 186.59/186.36 [8466]~P1(f862(f862(f227(a924),x84663),x84661))+P1(f862(f862(f227(a924),x84661),x84662))+~P1(f862(f862(f227(a924),x84663),x84662))+~P1(f862(f862(f227(a924),f862(f862(f3(a924),x84661),x84663)),f862(f862(f3(a924),x84662),x84663))) % 186.59/186.36 [8467]~P1(f862(f862(f227(a924),x84673),x84671))+P1(f862(f862(f228(a924),x84671),x84672))+~P1(f862(f862(f227(a924),x84673),x84672))+~P1(f862(f862(f228(a924),f862(f862(f3(a924),x84671),x84673)),f862(f862(f3(a924),x84672),x84673))) % 186.59/186.36 [8486]~P109(x84862)+E(x84861,f106(x84862))+~P11(x84862,f862(f161(x84862),x84861))+E(f862(f135(x84862,x84862,f862(f9(x84862,x84862,x84862),f226(x84862)),x84863),f862(f161(x84862),x84861)),f862(f862(f226(x84862),f862(f862(f157(x84862),x84861),f2(a924))),x84863)) % 186.59/186.36 [8554]E(f862(f862(f3(a1),x85541),x85542),x85541)+~P1(f862(f862(f228(a1),f2(a1)),x85542))+P1(f862(f862(f321(a1),f385(x85543,x85541,x85542)),x85543))+~P1(f862(f862(f321(a1),f862(f862(f3(a1),x85541),f71(a1))),x85543)) % 186.59/186.36 [8555]E(f862(f862(f73(a1),x85551),x85552),x85551)+~P1(f862(f862(f228(a1),f2(a1)),x85552))+P1(f862(f862(f321(a1),f393(x85553,x85551,x85552)),x85553))+~P1(f862(f862(f321(a1),f862(f862(f73(a1),x85551),f71(a1))),x85553)) % 186.59/186.36 [8627]~P1(f862(f862(f227(a1),x86271),f862(x86272,x86273)))+P1(f862(f862(f228(a924),f434(x86271,x86272,x86273)),x86273))+P1(f862(f862(f227(a924),f433(x86271,x86272,x86273)),x86273))+~P1(f862(f862(f227(a1),f862(x86272,f2(a924))),x86271)) % 186.59/186.36 [8628]~P1(f862(f862(f227(a1),x86281),f862(x86282,x86283)))+P1(f862(f862(f228(a924),f440(x86281,x86282,x86283)),x86283))+P1(f862(f862(f227(a924),f439(x86281,x86282,x86283)),x86283))+~P1(f862(f862(f227(a1),f862(x86282,f2(a924))),x86281)) % 186.59/186.36 [8702]E(f862(f862(f3(a1),x87021),x87022),x87021)+~P1(f862(f862(f228(a1),f2(a1)),x87022))+P1(f862(f862(f321(a1),f386(x87023,x87021,x87022)),f296(a1,f71(a1),x87022)))+~P1(f862(f862(f321(a1),f862(f862(f3(a1),x87021),f71(a1))),x87023)) % 186.59/186.36 [8703]E(f862(f862(f73(a1),x87031),x87032),x87031)+~P1(f862(f862(f228(a1),f2(a1)),x87032))+P1(f862(f862(f321(a1),f394(x87033,x87031,x87032)),f296(a1,f71(a1),x87032)))+~P1(f862(f862(f321(a1),f862(f862(f73(a1),x87031),f71(a1))),x87033)) % 186.59/186.36 [8837]~P127(x88371)+~P1(f862(f862(f228(x88371),x88372),f71(x88371)))+~P1(f862(f862(f228(x88371),f2(x88371)),x88372))+P1(f862(f862(f228(x88371),f862(f862(f74(x88371),x88372),f862(f862(f236(x88371),x88372),x88373))),f862(f862(f236(x88371),x88372),x88373))) % 186.59/186.36 [8931]~P1(f862(x89311,x89312))+P1(f862(x89311,f2(a924)))+~P1(f862(f862(f228(a924),x89312),x89313))+~P1(f862(x89311,f38(a924,f862(a105,f437(x89312,x89311,x89313)),x89313))) % 186.59/186.36 [9085]E(f510(x90851,x90852,x90853),f2(a924))+P1(f862(f862(x90851,x90853),x90852))+P1(f862(f862(x90851,f510(x90851,x90852,x90853)),f38(a924,f508(x90851,x90852,x90853),f510(x90851,x90852,x90853))))+~P1(f862(f307(f931(a924,a924),a212),f862(f862(f244(a924,a924),x90853),x90852))) % 186.59/186.36 [9121]~P22(x91211,x91211,x91212,x91213)+E(f862(f302(x91211,x91211,x91212),x91213),x91213)+~P1(f862(f54(x91211),x91213))+~P1(f862(f862(f227(f932(x91211,a921)),f862(f302(x91211,x91211,x91212),x91213)),x91213)) % 186.59/186.36 [9338]P1(f862(f862(x93381,x93382),x93383))+P1(f862(f862(f228(a1),f779(x93381,x93383,x93382)),f780(x93381,x93383,x93382)))+P1(f862(f862(x93381,f779(x93381,x93383,x93382)),f862(f862(f73(a1),f780(x93381,x93383,x93382)),f71(a1))))+~P1(f862(f307(f931(a1,a1),a126),f862(f862(f244(a1,a1),x93382),x93383))) % 186.59/186.36 [9355]P1(f862(f862(x93551,x93552),x93553))+~P1(f862(f862(f228(a1),f507(x93551,x93553,x93552)),f2(a1)))+P1(f862(f862(x93551,f862(f72(a1),f504(x93551,x93553,x93552))),f862(f72(a1),f507(x93551,x93553,x93552))))+~P1(f862(f307(f931(a1,a1),a214),f862(f862(f244(a1,a1),x93552),x93553))) % 186.59/186.36 [9545]P1(f862(f862(x95451,x95452),x95453))+P1(f862(f862(x95451,f862(f862(f73(a1),f683(x95451,x95453,x95452)),f71(a1))),f685(x95451,x95453,x95452)))+~P1(f862(f862(f227(a1),f683(x95451,x95453,x95452)),f685(x95451,x95453,x95452)))+~P1(f862(f307(f931(a1,a1),a175),f862(f862(f244(a1,a1),x95452),x95453))) % 186.59/186.36 [9989]~P63(x99892)+~P63(x99891)+~P1(f862(f49(f931(x99891,x99892)),x99893))+P1(f862(f49(x99891),f862(f862(f10(f932(x99892,a921),a921,x99891),f49(x99892)),f862(f862(f10(f932(x99892,f931(x99891,x99892)),f932(x99892,a921),x99891),f862(f10(f931(x99891,x99892),a921,x99892),x99893)),f244(x99891,x99892))))) % 186.59/186.36 [9990]~P63(x99902)+~P63(x99901)+~P1(f862(f50(f931(x99901,x99902)),x99903))+P1(f862(f50(x99901),f862(f862(f10(f932(x99902,a921),a921,x99901),f50(x99902)),f862(f862(f10(f932(x99902,f931(x99901,x99902)),f932(x99902,a921),x99901),f862(f10(f931(x99901,x99902),a921,x99902),x99903)),f244(x99901,x99902))))) % 186.59/186.36 [10085]~P63(x100852)+~P63(x100851)+P1(f862(f49(f931(x100851,x100852)),x100853))+~P1(f862(f49(x100851),f862(f862(f10(f932(x100852,a921),a921,x100851),f49(x100852)),f862(f862(f10(f932(x100852,f931(x100851,x100852)),f932(x100852,a921),x100851),f862(f10(f931(x100851,x100852),a921,x100852),x100853)),f244(x100851,x100852))))) % 186.59/186.36 [10086]~P63(x100862)+~P63(x100861)+P1(f862(f50(f931(x100861,x100862)),x100863))+~P1(f862(f50(x100861),f862(f862(f10(f932(x100862,a921),a921,x100861),f50(x100862)),f862(f862(f10(f932(x100862,f931(x100861,x100862)),f932(x100862,a921),x100861),f862(f10(f931(x100861,x100862),a921,x100862),x100863)),f244(x100861,x100862))))) % 186.59/186.36 [10263]E(f862(x102631,f433(x102632,x102631,x102633)),x102632)+~P1(f862(f862(f227(a1),x102632),f862(x102631,x102633)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x102631,f862(f862(f73(a924),f434(x102632,x102631,x102633)),f71(a924)))),f862(x102631,f434(x102632,x102631,x102633))))),f71(a1)))+~P1(f862(f862(f227(a1),f862(x102631,f2(a924))),x102632)) % 186.59/186.36 [10264]E(f862(x102641,f439(x102642,x102641,x102643)),x102642)+~P1(f862(f862(f227(a1),x102642),f862(x102641,x102643)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x102641,f862(f862(f73(a924),f440(x102642,x102641,x102643)),f71(a924)))),f862(x102641,f440(x102642,x102641,x102643))))),f71(a1)))+~P1(f862(f862(f227(a1),f862(x102641,f2(a924))),x102642)) % 186.59/186.36 [10267]~P1(f862(f862(f227(a1),x102671),f862(x102672,x102673)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x102672,f862(f862(f73(a924),f434(x102671,x102672,x102673)),f71(a924)))),f862(x102672,f434(x102671,x102672,x102673))))),f71(a1)))+P1(f862(f862(f227(a924),f433(x102671,x102672,x102673)),x102673))+~P1(f862(f862(f227(a1),f862(x102672,f2(a924))),x102671)) % 186.59/186.36 [10268]~P1(f862(f862(f227(a1),x102681),f862(x102682,x102683)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x102682,f862(f862(f73(a924),f440(x102681,x102682,x102683)),f71(a924)))),f862(x102682,f440(x102681,x102682,x102683))))),f71(a1)))+P1(f862(f862(f227(a924),f439(x102681,x102682,x102683)),x102683))+~P1(f862(f862(f227(a1),f862(x102682,f2(a924))),x102681)) % 186.59/186.36 [10327]E(x103271,x103272)+~E(f862(f135(f925(x103273),f925(x103273),f127(x103273),f106(x103273)),x103271),f862(f135(f925(x103273),f925(x103273),f127(x103273),f106(x103273)),x103272))+~E(f862(f182(f925(f925(x103273))),x103271),f862(f182(f925(f925(x103273))),x103272))+~P1(f862(f862(f249(f925(x103273),f925(x103273),a921),f862(f862(f9(f925(x103273),f932(f925(x103273),a924),f932(f925(x103273),a921)),f862(f862(f10(f932(a924,a921),f932(f932(f925(x103273),a924),f932(f925(x103273),a921)),f925(x103273)),f10(a924,a921,f925(x103273))),f862(f862(f10(a924,f932(a924,a921),f925(x103273)),a317),f182(f925(x103273))))),f182(f925(x103273)))),f709(x103271,x103272,x103273))) % 186.59/186.36 [10328]E(x103281,x103282)+~E(f862(f135(f925(x103283),f925(x103283),f127(x103283),f106(x103283)),x103281),f862(f135(f925(x103283),f925(x103283),f127(x103283),f106(x103283)),x103282))+~E(f862(f182(f925(f925(x103283))),x103281),f862(f182(f925(f925(x103283))),x103282))+~P1(f862(f862(f249(f925(x103283),f925(x103283),a921),f862(f862(f9(f925(x103283),f932(f925(x103283),a924),f932(f925(x103283),a921)),f862(f862(f10(f932(a924,a921),f932(f932(f925(x103283),a924),f932(f925(x103283),a921)),f925(x103283)),f10(a924,a921,f925(x103283))),f862(f862(f10(a924,f932(a924,a921),f925(x103283)),a317),f182(f925(x103283))))),f182(f925(x103283)))),f710(x103282,x103281,x103283))) % 186.59/186.36 [7013]~E(f71(a924),f2(a924))+~P1(f862(f54(x70131),x70133))+~P1(f862(f54(x70131),x70132))+E(f862(f862(f73(a924),f862(f28(x70131),x70132)),f862(f28(x70131),x70133)),f862(f28(x70131),f862(f862(f103(f932(x70131,a921)),x70132),x70133))) % 186.59/186.36 [7429]~P104(x74291)+~P1(f862(f54(x74291),x74292))+~P1(f862(f862(f321(x74291),x74293),x74292))+P1(f862(f862(f227(x74291),f862(f56(x74291,f94(x74291)),x74292)),x74293)) % 186.59/186.36 [7430]~P109(x74301)+~P1(f862(f54(x74301),x74302))+~P1(f862(f862(f321(x74301),x74303),x74302))+P1(f862(f862(f227(x74301),f862(f56(x74301,f225(x74301)),x74302)),x74303)) % 186.59/186.36 [7680]~P1(f862(f54(x76801),x76803))+~P1(f862(f54(x76801),x76802))+~E(f862(f862(f94(f932(x76801,a921)),x76802),x76803),f181(f932(x76801,a921)))+E(f862(f862(f73(a924),f862(f28(x76801),x76802)),f862(f28(x76801),x76803)),f862(f28(x76801),f862(f862(f103(f932(x76801,a921)),x76802),x76803))) % 186.59/186.36 [8472]~P35(x84721,x84723)+~P35(x84721,x84722)+~E(f862(f862(f94(f932(x84721,a921)),f862(f256(x84721,x84721),x84722)),f862(f275(x84721,x84721),x84723)),f181(f932(x84721,a921)))+P35(x84721,f862(f862(f103(f932(f931(x84721,x84721),a921)),x84722),x84723)) % 186.59/186.36 [8566]E(x85661,f862(f862(f29(a924),x85662),x85663))+~P1(f862(f862(f228(a924),f2(a924)),x85663))+~P1(f862(f862(f228(a924),x85662),f862(f862(f74(a924),x85663),f862(a105,x85661))))+~P1(f862(f862(f227(a924),f862(f862(f74(a924),x85663),x85661)),x85662)) % 186.59/186.36 [8700]~P1(f862(f54(x87001),x87002))+~P1(f862(f54(x87001),x87003))+E(f862(f862(f73(a924),f862(f28(x87001),x87002)),f862(f28(x87001),x87003)),f862(f28(x87001),f862(f862(f103(f932(x87001,a921)),x87002),x87003)))+P1(f862(f862(f321(x87001),f352(x87003,x87002,x87001)),f862(f862(f94(f932(x87001,a921)),x87002),x87003))) % 186.59/186.36 [9097]~P128(x90972)+~E(x90971,f2(x90972))+~E(x90973,f2(x90972))+~P1(f862(f862(f228(x90972),f2(x90972)),f862(f862(f73(x90972),f862(f862(f74(x90972),x90973),x90973)),f862(f862(f74(x90972),x90971),x90971)))) % 186.59/186.36 [9628]~P35(x96281,x96283)+~P35(x96281,x96282)+P35(x96281,f862(f862(f103(f932(f931(x96281,x96281),a921)),x96282),x96283))+~P1(f862(f862(f227(f932(f931(x96281,x96281),a921)),f862(f862(f280(x96281,x96281,x96281),x96282),x96283)),x96282)) % 186.59/186.36 [9763]~P1(f862(x97631,x97633))+~P1(f862(f54(x97632),x97633))+P1(f862(x97631,f181(f932(x97632,a921))))+~P1(f862(x97631,f862(f862(f3(f932(x97632,a921)),f876(x97631,x97633,x97632)),f862(f862(f301(x97632),f877(x97631,x97633,x97632)),f181(f932(x97632,a921)))))) % 186.59/186.36 [8877]~P1(f862(f862(f228(a1),f2(a1)),x88773))+P1(f862(f862(f227(a1),f2(a1)),x88771))+~P1(f862(f862(f228(a1),x88772),x88773))+~P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),f862(f862(f74(a1),x88773),x88771)),x88772))) % 186.59/186.36 [8902]~P93(x89021)+~P1(f862(f54(x89021),x89022))+E(f862(f862(f3(f932(x89021,a921)),x89022),f862(f862(f301(x89021),x89023),f181(f932(x89021,a921)))),f181(f932(x89021,a921)))+E(f862(f862(f94(x89021),x89023),f12(x89021,f862(f862(f3(f932(x89021,a921)),x89022),f862(f862(f301(x89021),x89023),f181(f932(x89021,a921)))))),f12(x89021,f862(f862(f301(x89021),x89023),x89022))) % 186.59/186.36 [8903]~P93(x89031)+~P1(f862(f54(x89031),x89032))+E(f862(f862(f3(f932(x89031,a921)),x89032),f862(f862(f301(x89031),x89033),f181(f932(x89031,a921)))),f181(f932(x89031,a921)))+E(f862(f862(f103(x89031),x89033),f15(x89031,f862(f862(f3(f932(x89031,a921)),x89032),f862(f862(f301(x89031),x89033),f181(f932(x89031,a921)))))),f15(x89031,f862(f862(f301(x89031),x89033),x89032))) % 186.59/186.36 [8904]~P109(x89041)+~P1(f862(f54(x89041),x89042))+E(f862(f862(f3(f932(x89041,a921)),x89042),f862(f862(f301(x89041),x89043),f181(f932(x89041,a921)))),f181(f932(x89041,a921)))+E(f862(f862(f225(x89041),x89043),f16(x89041,f862(f862(f3(f932(x89041,a921)),x89042),f862(f862(f301(x89041),x89043),f181(f932(x89041,a921)))))),f16(x89041,f862(f862(f301(x89041),x89043),x89042))) % 186.59/186.36 [8905]~P109(x89051)+~P1(f862(f54(x89051),x89052))+E(f862(f862(f3(f932(x89051,a921)),x89052),f862(f862(f301(x89051),x89053),f181(f932(x89051,a921)))),f181(f932(x89051,a921)))+E(f862(f862(f226(x89051),x89053),f17(x89051,f862(f862(f3(f932(x89051,a921)),x89052),f862(f862(f301(x89051),x89053),f181(f932(x89051,a921)))))),f17(x89051,f862(f862(f301(x89051),x89053),x89052))) % 186.59/186.36 [8977]~P109(x89771)+~P1(f862(f54(x89771),x89772))+E(f862(f862(f3(f932(x89771,a921)),x89772),f862(f862(f301(x89771),x89773),f181(f932(x89771,a921)))),f181(f932(x89771,a921)))+E(f862(f862(f225(x89771),x89773),f13(x89771,f225(x89771),f862(f862(f3(f932(x89771,a921)),x89772),f862(f862(f301(x89771),x89773),f181(f932(x89771,a921)))))),f13(x89771,f225(x89771),f862(f862(f301(x89771),x89773),x89772))) % 186.59/186.36 [8978]~P109(x89781)+~P1(f862(f54(x89781),x89782))+E(f862(f862(f3(f932(x89781,a921)),x89782),f862(f862(f301(x89781),x89783),f181(f932(x89781,a921)))),f181(f932(x89781,a921)))+E(f862(f862(f226(x89781),x89783),f14(x89781,f226(x89781),f862(f862(f3(f932(x89781,a921)),x89782),f862(f862(f301(x89781),x89783),f181(f932(x89781,a921)))))),f14(x89781,f226(x89781),f862(f862(f301(x89781),x89783),x89782))) % 186.59/186.36 [9565]E(x95651,x95652)+~E(f862(f135(f925(x95653),f925(x95653),f127(x95653),f106(x95653)),x95651),f862(f135(f925(x95653),f925(x95653),f127(x95653),f106(x95653)),x95652))+~E(f862(f182(f925(f925(x95653))),x95651),f862(f182(f925(f925(x95653))),x95652))+P1(f862(f862(f321(f931(f925(x95653),f925(x95653))),f709(x95651,x95652,x95653)),f862(f165(f931(f925(x95653),f925(x95653))),f862(f862(f174(f925(x95653),f925(x95653)),x95652),x95651)))) % 186.59/186.36 [9566]E(x95661,x95662)+~E(f862(f135(f925(x95663),f925(x95663),f127(x95663),f106(x95663)),x95661),f862(f135(f925(x95663),f925(x95663),f127(x95663),f106(x95663)),x95662))+~E(f862(f182(f925(f925(x95663))),x95661),f862(f182(f925(f925(x95663))),x95662))+P1(f862(f862(f321(f931(f925(x95663),f925(x95663))),f710(x95662,x95661,x95663)),f862(f165(f931(f925(x95663),f925(x95663))),f862(f862(f174(f925(x95663),f925(x95663)),x95661),x95662)))) % 186.59/186.36 [10430]~P102(x104302)+E(x104301,f181(f932(x104302,a921)))+~P1(f862(f54(x104302),x104301))+E(f12(x104302,f862(f254(x104302),f862(f862(f10(f932(x104302,a921),a921,x104302),f80(x104302)),f862(f862(f9(x104302,f932(x104302,a921),f932(x104302,a921)),f862(f862(f10(f932(x104302,f932(a921,a921)),f932(f932(x104302,a921),f932(x104302,a921)),x104302),f20(x104302,a921,a921)),f862(f862(f10(f932(x104302,a921),f932(x104302,f932(a921,a921)),x104302),f862(f10(a921,f932(a921,a921),x104302),a318)),f862(f862(f9(x104302,f932(x104302,x104302),f932(x104302,a921)),f862(f862(f10(f932(x104302,a921),f932(f932(x104302,x104302),f932(x104302,a921)),x104302),f10(x104302,a921,x104302)),a317)),f862(f103(x104302),x104303))))),f862(f862(f9(x104302,f932(x104302,a921),a921),f321(x104302)),x104301))))),f862(f862(f103(x104302),x104303),f12(x104302,x104301))) % 186.59/186.36 [10431]~P102(x104312)+E(x104311,f181(f932(x104312,a921)))+~P1(f862(f54(x104312),x104311))+E(f15(x104312,f862(f254(x104312),f862(f862(f10(f932(x104312,a921),a921,x104312),f80(x104312)),f862(f862(f9(x104312,f932(x104312,a921),f932(x104312,a921)),f862(f862(f10(f932(x104312,f932(a921,a921)),f932(f932(x104312,a921),f932(x104312,a921)),x104312),f20(x104312,a921,a921)),f862(f862(f10(f932(x104312,a921),f932(x104312,f932(a921,a921)),x104312),f862(f10(a921,f932(a921,a921),x104312),a318)),f862(f862(f9(x104312,f932(x104312,x104312),f932(x104312,a921)),f862(f862(f10(f932(x104312,a921),f932(f932(x104312,x104312),f932(x104312,a921)),x104312),f10(x104312,a921,x104312)),a317)),f862(f94(x104312),x104313))))),f862(f862(f9(x104312,f932(x104312,a921),a921),f321(x104312)),x104311))))),f862(f862(f94(x104312),x104313),f15(x104312,x104311))) % 186.59/186.36 [10432]~P77(x104322)+E(x104321,f181(f932(x104322,a921)))+~P1(f862(f54(x104322),x104321))+E(f16(x104322,f862(f254(x104322),f862(f862(f10(f932(x104322,a921),a921,x104322),f80(x104322)),f862(f862(f9(x104322,f932(x104322,a921),f932(x104322,a921)),f862(f862(f10(f932(x104322,f932(a921,a921)),f932(f932(x104322,a921),f932(x104322,a921)),x104322),f20(x104322,a921,a921)),f862(f862(f10(f932(x104322,a921),f932(x104322,f932(a921,a921)),x104322),f862(f10(a921,f932(a921,a921),x104322),a318)),f862(f862(f9(x104322,f932(x104322,x104322),f932(x104322,a921)),f862(f862(f10(f932(x104322,a921),f932(f932(x104322,x104322),f932(x104322,a921)),x104322),f10(x104322,a921,x104322)),a317)),f862(f73(x104322),x104323))))),f862(f862(f9(x104322,f932(x104322,a921),a921),f321(x104322)),x104321))))),f862(f862(f73(x104322),x104323),f16(x104322,x104321))) % 186.59/186.36 [10433]~P77(x104332)+E(x104331,f181(f932(x104332,a921)))+~P1(f862(f54(x104332),x104331))+E(f17(x104332,f862(f254(x104332),f862(f862(f10(f932(x104332,a921),a921,x104332),f80(x104332)),f862(f862(f9(x104332,f932(x104332,a921),f932(x104332,a921)),f862(f862(f10(f932(x104332,f932(a921,a921)),f932(f932(x104332,a921),f932(x104332,a921)),x104332),f20(x104332,a921,a921)),f862(f862(f10(f932(x104332,a921),f932(x104332,f932(a921,a921)),x104332),f862(f10(a921,f932(a921,a921),x104332),a318)),f862(f862(f9(x104332,f932(x104332,x104332),f932(x104332,a921)),f862(f862(f10(f932(x104332,a921),f932(f932(x104332,x104332),f932(x104332,a921)),x104332),f10(x104332,a921,x104332)),a317)),f862(f73(x104332),x104333))))),f862(f862(f9(x104332,f932(x104332,a921),a921),f321(x104332)),x104331))))),f862(f862(f73(x104332),x104333),f17(x104332,x104331))) % 186.59/186.36 [10434]~P109(x104342)+E(x104341,f181(f932(x104342,a921)))+~P1(f862(f54(x104342),x104341))+E(f14(x104342,f226(x104342),f862(f254(x104342),f862(f862(f10(f932(x104342,a921),a921,x104342),f80(x104342)),f862(f862(f9(x104342,f932(x104342,a921),f932(x104342,a921)),f862(f862(f10(f932(x104342,f932(a921,a921)),f932(f932(x104342,a921),f932(x104342,a921)),x104342),f20(x104342,a921,a921)),f862(f862(f10(f932(x104342,a921),f932(x104342,f932(a921,a921)),x104342),f862(f10(a921,f932(a921,a921),x104342),a318)),f862(f862(f9(x104342,f932(x104342,x104342),f932(x104342,a921)),f862(f862(f10(f932(x104342,a921),f932(f932(x104342,x104342),f932(x104342,a921)),x104342),f10(x104342,a921,x104342)),a317)),f862(f225(x104342),x104343))))),f862(f862(f9(x104342,f932(x104342,a921),a921),f321(x104342)),x104341))))),f862(f862(f225(x104342),x104343),f14(x104342,f226(x104342),x104341))) % 186.59/186.36 [10435]~P109(x104352)+E(x104351,f181(f932(x104352,a921)))+~P1(f862(f54(x104352),x104351))+E(f13(x104352,f225(x104352),f862(f254(x104352),f862(f862(f10(f932(x104352,a921),a921,x104352),f80(x104352)),f862(f862(f9(x104352,f932(x104352,a921),f932(x104352,a921)),f862(f862(f10(f932(x104352,f932(a921,a921)),f932(f932(x104352,a921),f932(x104352,a921)),x104352),f20(x104352,a921,a921)),f862(f862(f10(f932(x104352,a921),f932(x104352,f932(a921,a921)),x104352),f862(f10(a921,f932(a921,a921),x104352),a318)),f862(f862(f9(x104352,f932(x104352,x104352),f932(x104352,a921)),f862(f862(f10(f932(x104352,a921),f932(f932(x104352,x104352),f932(x104352,a921)),x104352),f10(x104352,a921,x104352)),a317)),f862(f226(x104352),x104353))))),f862(f862(f9(x104352,f932(x104352,a921),a921),f321(x104352)),x104351))))),f862(f862(f226(x104352),x104353),f13(x104352,f225(x104352),x104351))) % 186.59/186.36 [10152]~P112(x101521)+~E(x101523,f2(x101521))+~E(x101522,f2(x101521))+E(f862(f862(f73(x101521),f862(f862(f236(x101521),x101522),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x101521),x101523),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f2(x101521)) % 186.59/186.36 [10308]~P127(x103081)+~P1(f862(f862(f227(x103081),f2(x103081)),x103083))+P1(f862(f862(f227(x103081),x103082),x103083))+~P1(f862(f862(f227(x103081),f862(f862(f236(x103081),x103082),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103081),x103083),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))))) % 186.59/186.36 [10363]~P112(x103632)+~E(x103631,f2(x103632))+~E(x103633,f2(x103632))+~P1(f862(f862(f228(x103632),f2(x103632)),f862(f862(f73(x103632),f862(f862(f236(x103632),x103633),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))),f862(f862(f236(x103632),x103631),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))))) % 186.59/186.36 [6892]~P5(x68923,x68922)+~P1(f862(x68921,x68924))+~P1(f862(f862(f321(x68923),x68924),f262(x68923,x68922)))+P1(f862(x68921,f825(x68921,x68922,x68923))) % 186.59/186.36 [8812]P23(x88121,x88122,f829(x88123,x88122,x88124,x88121),x88124,x88123)+~E(f862(f28(x88121),x88124),f862(f28(x88122),x88123))+~P1(f862(f54(x88122),x88123))+~P1(f862(f54(x88121),x88124)) % 186.59/186.36 [9526]E(x95261,x95262)+~E(f650(x95261,x95262,x95264,x95263),f655(x95261,x95262,x95264,x95263))+P1(f862(f862(f321(f931(f925(x95263),f925(x95263))),f862(f862(f244(f925(x95263),f925(x95263)),x95262),x95261)),f140(x95263,x95264)))+P1(f862(f862(f321(f931(f925(x95263),f925(x95263))),f862(f862(f244(f925(x95263),f925(x95263)),x95261),x95262)),f140(x95263,x95264))) % 186.59/186.36 [5023]~P64(x50232)+~E(x50234,f2(x50232))+~E(x50231,f2(x50232))+E(x50231,f862(f862(f282(x50232),x50233),x50234)) % 186.59/186.36 [5024]~P64(x50241)+~E(x50243,f2(x50241))+~E(x50244,f2(x50241))+E(f862(f862(f282(x50241),x50242),x50243),x50244) % 186.59/186.36 [5140]~P64(x51402)+E(x51401,f2(x51402))+~E(x51403,f2(x51402))+~E(x51401,f862(f862(f282(x51402),x51404),x51403)) % 186.59/186.36 [5141]~P64(x51412)+E(x51411,f2(x51412))+~E(x51413,f2(x51412))+~E(f862(f862(f282(x51412),x51414),x51413),x51411) % 186.59/186.36 [5323]~P121(x53232)+E(x53231,f2(x53232))+~E(f862(f862(f282(x53232),x53233),x53231),x53234)+E(x53233,f862(f862(f74(x53232),x53234),x53231)) % 186.59/186.36 [5325]~P121(x53252)+E(x53251,f2(x53252))+~E(f862(f862(f74(x53252),x53253),x53251),x53254)+E(x53253,f862(f862(f282(x53252),x53254),x53251)) % 186.59/186.36 [5326]~P64(x53262)+E(x53261,f2(x53262))+~E(f862(f862(f282(x53262),x53263),x53261),x53264)+E(x53263,f862(f862(f74(x53262),x53264),x53261)) % 186.59/186.36 [5327]~P64(x53272)+E(x53271,f2(x53272))+~E(f862(f862(f74(x53272),x53273),x53271),x53274)+E(x53273,f862(f862(f282(x53272),x53274),x53271)) % 186.59/186.36 [5328]~P121(x53282)+E(x53281,f2(x53282))+~E(x53283,f862(f862(f282(x53282),x53284),x53281))+E(f862(f862(f74(x53282),x53283),x53281),x53284) % 186.59/186.36 [5330]~P121(x53302)+E(x53301,f2(x53302))+~E(x53303,f862(f862(f74(x53302),x53304),x53301))+E(f862(f862(f282(x53302),x53303),x53301),x53304) % 186.59/186.36 [5331]~P64(x53312)+E(x53311,f2(x53312))+~E(x53313,f862(f862(f282(x53312),x53314),x53311))+E(f862(f862(f74(x53312),x53313),x53311),x53314) % 186.59/186.36 [5332]~P64(x53322)+E(x53321,f2(x53322))+~E(x53323,f862(f862(f74(x53322),x53324),x53321))+E(f862(f862(f282(x53322),x53323),x53321),x53324) % 186.59/186.36 [5356]~P64(x53562)+~E(x53561,f2(x53562))+~E(f862(f862(f74(x53562),x53561),x53564),x53563)+E(x53561,f862(f862(f282(x53562),x53563),x53564)) % 186.59/186.36 [5357]~P64(x53571)+~E(x53574,f2(x53571))+~E(x53572,f862(f862(f74(x53571),x53574),x53573))+E(f862(f862(f282(x53571),x53572),x53573),x53574) % 186.59/186.36 [5433]~E(x54333,x54334)+~E(x54332,x54333)+~P110(x54331)+E(f296(x54331,x54332,x54333),f862(f862(f301(x54331),x54334),f181(f932(x54331,a921)))) % 186.59/186.36 [5636]~E(f107(x56362,x56361),x56363)+~E(f137(x56362,x56361),x56364)+E(x56361,f106(x56362))+E(f862(f862(f127(x56362),x56363),f862(f862(f144(x56362),x56364),f106(x56362))),x56361) % 186.59/186.36 [6271]~P127(x62713)+E(x62711,x62712)+~E(f862(f862(f236(x62713),x62714),x62711),f862(f862(f236(x62713),x62714),x62712))+~P1(f862(f862(f228(x62713),f71(x62713)),x62714)) % 186.59/186.36 [6272]E(x62721,x62722)+~E(f862(f862(f301(x62723),x62724),x62721),f862(f862(f301(x62723),x62724),x62722))+P1(f862(f862(f321(x62723),x62724),x62722))+P1(f862(f862(f321(x62723),x62724),x62721)) % 186.59/186.36 [6315]E(f862(x63151,x63152),f71(a924))+~E(f862(f862(f11(x63153,a924),x63151),x63154),f71(a924))+~P1(f862(f54(x63153),x63154))+~P1(f862(f862(f321(x63153),x63152),x63154)) % 186.59/186.36 [6316]E(f862(x63161,x63162),f2(a924))+~E(f862(f862(f8(x63163,a924),x63161),x63164),f2(a924))+~P1(f862(f54(x63163),x63164))+~P1(f862(f862(f321(x63163),x63162),x63164)) % 186.59/186.36 [6542]~P110(x65421)+~P1(f862(f862(f227(x65421),x65424),x65423))+P1(f862(f862(f227(x65421),x65422),x65423))+~P1(f862(f862(f227(x65421),x65422),x65424)) % 186.59/186.36 [6543]~P91(x65431)+~P1(f862(f862(f227(x65431),x65432),x65434))+P1(f862(f862(f227(x65431),x65432),x65433))+~P1(f862(f862(f227(x65431),x65434),x65433)) % 186.59/186.36 [6544]~P110(x65441)+~P1(f862(f862(f228(x65441),x65444),x65443))+P1(f862(f862(f228(x65441),x65442),x65443))+~P1(f862(f862(f227(x65441),x65442),x65444)) % 186.59/186.36 [6545]~P110(x65451)+~P1(f862(f862(f228(x65451),x65452),x65454))+P1(f862(f862(f228(x65451),x65452),x65453))+~P1(f862(f862(f227(x65451),x65454),x65453)) % 186.59/186.36 [6546]~P110(x65461)+~P1(f862(f862(f228(x65461),x65464),x65463))+P1(f862(f862(f228(x65461),x65462),x65463))+~P1(f862(f862(f228(x65461),x65462),x65464)) % 186.59/186.36 [6547]~P91(x65471)+~P1(f862(f862(f228(x65471),x65472),x65474))+P1(f862(f862(f228(x65471),x65472),x65473))+~P1(f862(f862(f227(x65471),x65474),x65473)) % 186.59/186.36 [6548]~P91(x65481)+~P1(f862(f862(f228(x65481),x65484),x65483))+P1(f862(f862(f228(x65481),x65482),x65483))+~P1(f862(f862(f227(x65481),x65482),x65484)) % 186.59/186.36 [6549]~P91(x65491)+~P1(f862(f862(f228(x65491),x65492),x65494))+P1(f862(f862(f228(x65491),x65492),x65493))+~P1(f862(f862(f228(x65491),x65494),x65493)) % 186.59/186.36 [6630]~P33(x66304,x66303,x66302)+E(x66301,f764(x66302,x66303,x66304))+~P1(f862(x66303,x66301))+~P1(f862(f862(f321(x66304),x66301),f862(f165(x66304),x66302))) % 186.59/186.36 [6631]~P33(x66314,x66313,x66312)+E(x66311,f775(x66312,x66313,x66314))+~P1(f862(x66313,x66311))+~P1(f862(f862(f321(x66314),x66311),f862(f165(x66314),x66312))) % 186.59/186.36 [6784]~P3(x67841)+~P1(f862(f862(f227(x67841),x67842),f31(x67841,x67844)))+P1(f862(f862(f227(x67841),x67842),x67843))+~P1(f862(f862(f321(x67841),x67843),x67844)) % 186.59/186.36 [6934]~P109(x69341)+~P11(x69341,f862(f862(f144(x69341),x69342),x69344))+~P1(f862(f862(f321(x69341),x69343),f862(f165(x69341),x69344)))+P1(f862(f862(f227(x69341),x69342),x69343)) % 186.59/186.36 [7023]~P3(x70231)+~P1(f862(f862(f227(x70231),f30(x70231,x70234)),x70233))+P1(f862(f862(f227(x70231),x70232),x70233))+~P1(f862(f862(f321(x70231),x70232),x70234)) % 186.59/186.36 [7432]~P109(x74321)+E(f862(f862(f103(f932(x74321,a921)),f862(f295(x74321,x74322),x74323)),f862(f295(x74321,x74323),x74324)),f862(f295(x74321,x74322),x74324))+~P1(f862(f862(f227(x74321),x74323),x74324))+~P1(f862(f862(f227(x74321),x74322),x74323)) % 186.59/186.36 [7477]P33(x74771,x74772,x74773)+~E(f776(x74773,x74772,x74771,x74774),x74774)+~P1(f862(x74772,x74774))+~P1(f862(f862(f321(x74771),x74774),f862(f165(x74771),x74773))) % 186.59/186.36 [7478]P33(x74781,x74782,x74783)+~E(f783(x74783,x74782,x74781,x74784),x74784)+~P1(f862(x74782,x74784))+~P1(f862(f862(f321(x74781),x74784),f862(f165(x74781),x74783))) % 186.59/186.36 [7554]~P109(x75541)+E(f862(f862(f103(f932(x75541,a921)),f862(f295(x75541,x75542),x75543)),f296(x75541,x75543,x75544)),f296(x75541,x75542,x75544))+~P1(f862(f862(f227(x75541),x75543),x75544))+~P1(f862(f862(f227(x75541),x75542),x75543)) % 186.59/186.36 [7614]~P109(x76141)+E(f862(f862(f103(f932(x76141,a921)),f298(x76141,x76142,x76143)),f862(f295(x76141,x76143),x76144)),f298(x76141,x76142,x76144))+~P1(f862(f862(f227(x76141),x76143),x76144))+~P1(f862(f862(f228(x76141),x76142),x76143)) % 186.59/186.36 [7631]~P109(x76311)+E(f862(f862(f103(f932(x76311,a921)),f296(x76311,x76312,x76313)),f298(x76311,x76313,x76314)),f862(f295(x76311,x76312),x76314))+~P1(f862(f862(f227(x76311),x76312),x76313))+~P1(f862(f862(f228(x76311),x76313),x76314)) % 186.59/186.36 [7661]~P109(x76611)+E(f862(f862(f103(f932(x76611,a921)),f298(x76611,x76612,x76613)),f296(x76611,x76613,x76614)),f297(x76611,x76612,x76614))+~P1(f862(f862(f227(x76611),x76613),x76614))+~P1(f862(f862(f228(x76611),x76612),x76613)) % 186.59/186.36 [7662]~P109(x76621)+E(f862(f862(f103(f932(x76621,a921)),f297(x76621,x76622,x76623)),f298(x76621,x76623,x76624)),f298(x76621,x76622,x76624))+~P1(f862(f862(f227(x76621),x76622),x76623))+~P1(f862(f862(f228(x76621),x76623),x76624)) % 186.59/186.36 [7663]~P109(x76631)+E(f862(f862(f103(f932(x76631,a921)),f297(x76631,x76632,x76633)),f297(x76631,x76633,x76634)),f297(x76631,x76632,x76634))+~P1(f862(f862(f227(x76631),x76633),x76634))+~P1(f862(f862(f227(x76631),x76632),x76633)) % 186.59/186.36 [7664]~P109(x76641)+E(f862(f862(f103(f932(x76641,a921)),f296(x76641,x76642,x76643)),f297(x76641,x76643,x76644)),f296(x76641,x76642,x76644))+~P1(f862(f862(f227(x76641),x76643),x76644))+~P1(f862(f862(f227(x76641),x76642),x76643)) % 186.59/186.36 [8456]P22(x84561,x84562,f543(x84563,x84562,x84564,x84561),x84564)+~P1(f862(f54(x84562),x84563))+~P1(f862(f54(x84561),x84564))+~P1(f862(f862(f227(a924),f862(f28(x84561),x84564)),f862(f28(x84562),x84563))) % 186.59/186.36 [8477]P33(x84771,x84772,x84773)+~P1(f862(x84772,x84774))+P1(f862(x84772,f776(x84773,x84772,x84771,x84774)))+~P1(f862(f862(f321(x84771),x84774),f862(f165(x84771),x84773))) % 186.59/186.36 [8478]P33(x84781,x84782,x84783)+~P1(f862(x84782,x84784))+P1(f862(x84782,f783(x84783,x84782,x84781,x84784)))+~P1(f862(f862(f321(x84781),x84784),f862(f165(x84781),x84783))) % 186.59/186.36 [8532]~P71(x85321)+~E(f862(x85323,f374(x85323,x85324,x85322,x85321)),f71(x85321))+E(f862(f862(f862(f58(x85321,x85322,f74(x85321)),x85323),f71(x85321)),x85324),f71(x85321))+~P1(f862(f54(x85322),x85324)) % 186.59/186.36 [8801]~P127(x88011)+~P1(f862(f862(f227(x88011),f2(x88011)),x88013))+P1(f862(f862(f227(x88011),x88012),x88013))+~P1(f862(f862(f227(x88011),f862(f862(f236(x88011),x88012),f862(a105,x88014))),f862(f862(f236(x88011),x88013),f862(a105,x88014)))) % 186.59/186.36 [9122]P33(x91221,x91222,x91223)+~P1(f862(x91222,x91224))+~P1(f862(f862(f321(x91221),x91224),f862(f165(x91221),x91223)))+P1(f862(f862(f321(x91221),f776(x91223,x91222,x91221,x91224)),f862(f165(x91221),x91223))) % 186.59/186.36 [9123]P33(x91231,x91232,x91233)+~P1(f862(x91232,x91234))+~P1(f862(f862(f321(x91231),x91234),f862(f165(x91231),x91233)))+P1(f862(f862(f321(x91231),f783(x91233,x91232,x91231,x91234)),f862(f165(x91231),x91233))) % 186.59/186.36 [9199]~P71(x91991)+E(f862(f862(f862(f58(x91991,x91992,f74(x91991)),x91993),f71(x91991)),x91994),f71(x91991))+~P1(f862(f54(x91992),x91994))+P1(f862(f862(f321(x91992),f374(x91993,x91994,x91992,x91991)),x91994)) % 186.59/186.36 [9701]~P1(f862(f862(f278(a924),x97011),x97013))+~P1(f862(f862(f278(a924),x97011),x97012))+~P1(f862(f862(f278(a924),x97014),x97013))+~P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x97011,x97013)),f281(a924,f278(a924),x97012,x97014))) % 186.59/186.36 [9706]~P1(f862(f862(f227(a1),x97064),f2(a1)))+P1(f862(f862(f227(a1),f862(f862(f73(a1),f862(f862(f74(a1),x97061),f38(a1,x97062,x97063))),x97064)),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x97063))+~P1(f862(f862(f228(a1),x97061),x97064)) % 186.59/186.36 [10145]~P1(f862(f54(x101451),x101452))+~P1(f862(f862(f321(x101451),x101454),x101452))+~P1(f862(f862(f321(x101451),x101453),x101452))+P1(f862(f862(f228(a924),f862(f28(x101451),f862(f862(f3(f932(x101451,a921)),f862(f862(f3(f932(x101451,a921)),x101452),f862(f862(f301(x101451),x101453),f181(f932(x101451,a921))))),f862(f862(f301(x101451),x101454),f181(f932(x101451,a921)))))),f862(f28(x101451),x101452))) % 186.59/186.36 [7081]~P146(x70813)+~P120(x70813)+P1(f862(x70811,f858(x70812,x70811,x70813)))+~P1(f862(x70811,f862(f862(f74(x70813),x70812),x70814))) % 186.59/186.36 [7139]~P104(x71391)+~P1(f862(f862(f227(x71391),x71392),x71394))+~P1(f862(f862(f227(x71391),x71392),x71393))+P1(f862(f862(f227(x71391),x71392),f862(f862(f94(x71391),x71393),x71394))) % 186.59/186.36 [7142]~P109(x71421)+~P1(f862(f862(f227(x71421),x71422),x71424))+~P1(f862(f862(f227(x71421),x71422),x71423))+P1(f862(f862(f227(x71421),x71422),f862(f862(f225(x71421),x71423),x71424))) % 186.59/186.36 [7143]~P109(x71431)+~P1(f862(f862(f228(x71431),x71432),x71434))+~P1(f862(f862(f228(x71431),x71432),x71433))+P1(f862(f862(f228(x71431),x71432),f862(f862(f225(x71431),x71433),x71434))) % 186.59/186.36 [7144]~P115(x71441)+~P1(f862(f862(f278(x71441),x71442),x71444))+~P1(f862(f862(f278(x71441),x71442),x71443))+P1(f862(f862(f278(x71441),x71442),f862(f862(f3(x71441),x71443),x71444))) % 186.59/186.36 [7145]~P119(x71451)+~P1(f862(f862(f278(x71451),x71452),x71454))+~P1(f862(f862(f278(x71451),x71452),x71453))+P1(f862(f862(f278(x71451),x71452),f862(f862(f73(x71451),x71453),x71454))) % 186.59/186.36 [7165]~P65(x71652)+E(x71651,f2(x71652))+E(f862(f862(f282(x71652),f862(f862(f236(x71652),x71651),x71653)),f862(f862(f236(x71652),x71651),x71654)),f862(f862(f236(x71652),x71651),f862(f862(f3(a924),x71653),x71654)))+~P1(f862(f862(f227(a924),x71654),x71653)) % 186.59/186.36 [7209]~P109(x72091)+~P11(x72091,f862(f862(f144(x72091),x72093),x72094))+P11(x72091,f862(f862(f144(x72091),x72092),f862(f862(f144(x72091),x72093),x72094)))+~P1(f862(f862(f227(x72091),x72092),x72093)) % 186.59/186.36 [7245]~P87(x72451)+~P1(f862(f862(f227(x72451),f2(x72451)),x72454))+~P1(f862(f862(f227(x72451),x72452),x72453))+P1(f862(f862(f227(x72451),x72452),f862(f862(f73(x72451),x72453),x72454))) % 186.59/186.36 [7246]~P87(x72461)+~P1(f862(f862(f227(x72461),f2(x72461)),x72463))+~P1(f862(f862(f227(x72461),x72462),x72464))+P1(f862(f862(f227(x72461),x72462),f862(f862(f73(x72461),x72463),x72464))) % 186.59/186.36 [7247]~P127(x72471)+~P1(f862(f862(f228(x72471),f2(x72471)),x72473))+~P1(f862(f862(f228(x72471),x72472),x72474))+P1(f862(f862(f228(x72471),x72472),f862(f862(f73(x72471),x72473),x72474))) % 186.59/186.36 [7248]~P87(x72481)+~P1(f862(f862(f227(x72481),x72482),x72484))+~P1(f862(f862(f228(x72481),f2(x72481)),x72483))+P1(f862(f862(f228(x72481),x72482),f862(f862(f73(x72481),x72483),x72484))) % 186.59/186.36 [7249]~P87(x72491)+~P1(f862(f862(f227(x72491),f2(x72491)),x72493))+~P1(f862(f862(f228(x72491),x72492),x72494))+P1(f862(f862(f228(x72491),x72492),f862(f862(f73(x72491),x72493),x72494))) % 186.59/186.36 [7291]~P109(x72911)+P1(f862(f862(f227(x72911),x72912),x72913))+P1(f862(f862(f227(x72911),x72912),x72914))+~P1(f862(f862(f227(x72911),x72912),f862(f862(f226(x72911),x72914),x72913))) % 186.59/186.36 [7292]~P109(x72921)+P1(f862(f862(f228(x72921),x72922),x72923))+P1(f862(f862(f228(x72921),x72922),x72924))+~P1(f862(f862(f228(x72921),x72922),f862(f862(f226(x72921),x72924),x72923))) % 186.59/186.36 [7587]~P110(x75872)+~P63(x75871)+~P1(f862(f862(f228(f932(x75871,x75872)),x75873),x75874))+P1(f862(f862(f227(f932(x75871,x75872)),x75873),x75874)) % 186.59/186.36 [7950]~P67(x79501)+~P1(f862(f862(f228(x79501),x79504),f2(x79501)))+~P1(f862(f862(f227(x79501),x79503),f862(f862(f282(x79501),x79502),x79504)))+P1(f862(f862(f227(x79501),x79502),f862(f862(f74(x79501),x79503),x79504))) % 186.59/186.36 [7951]~P67(x79511)+~P1(f862(f862(f228(x79511),x79514),f2(x79511)))+~P1(f862(f862(f227(x79511),x79513),f862(f862(f74(x79511),x79512),x79514)))+P1(f862(f862(f227(x79511),x79512),f862(f862(f282(x79511),x79513),x79514))) % 186.59/186.36 [7952]~P67(x79521)+~P1(f862(f862(f228(x79521),x79524),f2(x79521)))+~P1(f862(f862(f228(x79521),x79523),f862(f862(f282(x79521),x79522),x79524)))+P1(f862(f862(f228(x79521),x79522),f862(f862(f74(x79521),x79523),x79524))) % 186.59/186.36 [7953]~P67(x79531)+~P1(f862(f862(f228(x79531),x79534),f2(x79531)))+~P1(f862(f862(f228(x79531),x79533),f862(f862(f74(x79531),x79532),x79534)))+P1(f862(f862(f228(x79531),x79532),f862(f862(f282(x79531),x79533),x79534))) % 186.59/186.36 [8059]~P126(x80591)+~P1(f862(f862(f227(x80591),x80592),f2(x80591)))+~P1(f862(f862(f227(x80591),x80594),x80593))+P1(f862(f862(f227(x80591),f862(f862(f74(x80591),x80592),x80593)),f862(f862(f74(x80591),x80592),x80594))) % 186.59/186.36 [8060]~P128(x80601)+~P1(f862(f862(f228(x80601),x80602),f2(x80601)))+~P1(f862(f862(f227(x80601),x80604),x80603))+P1(f862(f862(f227(x80601),f862(f862(f74(x80601),x80602),x80603)),f862(f862(f74(x80601),x80602),x80604))) % 186.59/186.36 [8061]~P126(x80611)+~P1(f862(f862(f227(x80611),x80613),f2(x80611)))+~P1(f862(f862(f227(x80611),x80614),x80612))+P1(f862(f862(f227(x80611),f862(f862(f74(x80611),x80612),x80613)),f862(f862(f74(x80611),x80614),x80613))) % 186.59/186.36 [8062]~P66(x80621)+~P1(f862(f862(f227(x80621),x80623),f2(x80621)))+~P1(f862(f862(f227(x80621),x80624),x80622))+P1(f862(f862(f227(x80621),f862(f862(f282(x80621),x80622),x80623)),f862(f862(f282(x80621),x80624),x80623))) % 186.59/186.36 [8066]~P128(x80661)+~P1(f862(f862(f228(x80661),x80663),f2(x80661)))+~P1(f862(f862(f228(x80661),x80664),x80662))+P1(f862(f862(f228(x80661),f862(f862(f74(x80661),x80662),x80663)),f862(f862(f74(x80661),x80664),x80663))) % 186.59/186.36 [8067]~P128(x80671)+~P1(f862(f862(f228(x80671),x80672),f2(x80671)))+~P1(f862(f862(f228(x80671),x80674),x80673))+P1(f862(f862(f228(x80671),f862(f862(f74(x80671),x80672),x80673)),f862(f862(f74(x80671),x80672),x80674))) % 186.59/186.36 [8068]~P67(x80681)+~P1(f862(f862(f228(x80681),x80683),f2(x80681)))+~P1(f862(f862(f228(x80681),x80684),x80682))+P1(f862(f862(f228(x80681),f862(f862(f282(x80681),x80682),x80683)),f862(f862(f282(x80681),x80684),x80683))) % 186.59/186.36 [8069]~P127(x80691)+~P1(f862(f862(f228(x80691),f71(x80691)),x80692))+~P1(f862(f862(f227(a924),x80693),x80694))+P1(f862(f862(f227(x80691),f862(f862(f236(x80691),x80692),x80693)),f862(f862(f236(x80691),x80692),x80694))) % 186.59/186.36 [8070]~P127(x80701)+~P1(f862(f862(f227(x80701),f71(x80701)),x80702))+~P1(f862(f862(f227(a924),x80703),x80704))+P1(f862(f862(f227(x80701),f862(f862(f236(x80701),x80702),x80703)),f862(f862(f236(x80701),x80702),x80704))) % 186.59/186.36 [8072]~P127(x80721)+~P1(f862(f862(f228(x80721),f71(x80721)),x80722))+~P1(f862(f862(f228(a924),x80723),x80724))+P1(f862(f862(f228(x80721),f862(f862(f236(x80721),x80722),x80723)),f862(f862(f236(x80721),x80722),x80724))) % 186.59/186.36 [8100]P1(f862(f862(f228(a924),f2(a924)),f862(x81001,x81002)))+~P1(f862(f54(x81003),x81004))+~P1(f862(f862(f321(x81003),x81002),x81004))+~P1(f862(f862(f228(a924),f2(a924)),f862(f862(f11(x81003,a924),x81001),x81004))) % 186.59/186.36 [8109]~P138(x81091)+~P1(f862(f862(f227(x81091),x81093),x81094))+~P1(f862(f862(f227(x81091),f2(x81091)),x81092))+P1(f862(f862(f227(x81091),f862(f862(f74(x81091),x81092),x81093)),f862(f862(f74(x81091),x81092),x81094))) % 186.59/186.36 [8110]~P137(x81101)+~P1(f862(f862(f227(x81101),x81103),x81104))+~P1(f862(f862(f227(x81101),f2(x81101)),x81102))+P1(f862(f862(f227(x81101),f862(f862(f74(x81101),x81102),x81103)),f862(f862(f74(x81101),x81102),x81104))) % 186.59/186.36 [8111]~P128(x81111)+~P1(f862(f862(f228(x81111),f2(x81111)),x81112))+~P1(f862(f862(f227(x81111),x81113),x81114))+P1(f862(f862(f227(x81111),f862(f862(f74(x81111),x81112),x81113)),f862(f862(f74(x81111),x81112),x81114))) % 186.59/186.36 [8112]~P138(x81121)+~P1(f862(f862(f227(x81121),x81122),x81124))+~P1(f862(f862(f227(x81121),f2(x81121)),x81123))+P1(f862(f862(f227(x81121),f862(f862(f74(x81121),x81122),x81123)),f862(f862(f74(x81121),x81124),x81123))) % 186.59/186.36 [8113]~P66(x81131)+~P1(f862(f862(f227(x81131),x81132),x81134))+~P1(f862(f862(f227(x81131),f2(x81131)),x81133))+P1(f862(f862(f227(x81131),f862(f862(f282(x81131),x81132),x81133)),f862(f862(f282(x81131),x81134),x81133))) % 186.59/186.36 [8114]~P127(x81141)+~P1(f862(f862(f227(x81141),x81142),x81144))+~P1(f862(f862(f227(x81141),f2(x81141)),x81142))+P1(f862(f862(f227(x81141),f862(f862(f236(x81141),x81142),x81143)),f862(f862(f236(x81141),x81144),x81143))) % 186.59/186.36 [8116]~P123(x81161)+~P1(f862(f862(f228(x81161),x81163),x81164))+~P1(f862(f862(f228(x81161),f2(x81161)),x81162))+P1(f862(f862(f228(x81161),f862(f862(f74(x81161),x81162),x81163)),f862(f862(f74(x81161),x81162),x81164))) % 186.59/186.36 [8117]~P135(x81171)+~P1(f862(f862(f228(x81171),x81173),x81174))+~P1(f862(f862(f228(x81171),f2(x81171)),x81172))+P1(f862(f862(f228(x81171),f862(f862(f74(x81171),x81172),x81173)),f862(f862(f74(x81171),x81172),x81174))) % 186.59/186.36 [8118]~P128(x81181)+~P1(f862(f862(f228(x81181),x81182),x81184))+~P1(f862(f862(f228(x81181),f2(x81181)),x81183))+P1(f862(f862(f228(x81181),f862(f862(f74(x81181),x81182),x81183)),f862(f862(f74(x81181),x81184),x81183))) % 186.59/186.36 [8119]~P135(x81191)+~P1(f862(f862(f228(x81191),x81192),x81194))+~P1(f862(f862(f228(x81191),f2(x81191)),x81193))+P1(f862(f862(f228(x81191),f862(f862(f74(x81191),x81192),x81193)),f862(f862(f74(x81191),x81194),x81193))) % 186.59/186.36 [8120]~P128(x81201)+~P1(f862(f862(f228(x81201),x81203),x81204))+~P1(f862(f862(f228(x81201),f2(x81201)),x81202))+P1(f862(f862(f228(x81201),f862(f862(f74(x81201),x81202),x81203)),f862(f862(f74(x81201),x81202),x81204))) % 186.59/186.36 [8121]~P67(x81211)+~P1(f862(f862(f228(x81211),x81212),x81214))+~P1(f862(f862(f228(x81211),f2(x81211)),x81213))+P1(f862(f862(f228(x81211),f862(f862(f282(x81211),x81212),x81213)),f862(f862(f282(x81211),x81214),x81213))) % 186.59/186.36 [8165]~P108(x81652)+P1(f862(f862(f228(f932(x81651,x81652)),x81654),x81653))+~P1(f862(f862(f227(f932(x81651,x81652)),x81654),x81653))+P1(f862(f862(f227(f932(x81651,x81652)),x81653),x81654)) % 186.59/186.36 [8206]P1(f862(f862(f321(x82061),x82062),x82063))+P1(f862(f862(f321(x82061),x82062),x82064))+~P1(f862(f862(f227(f932(x82061,a921)),x82064),x82063))+P1(f862(f862(f228(f932(x82061,a921)),x82064),f862(f862(f301(x82061),x82062),x82063))) % 186.59/186.36 [8318]~P113(x83182)+E(x83181,f2(x83182))+P1(f862(f862(f278(x83182),x83183),x83184))+~P1(f862(f862(f278(x83182),f862(f862(f74(x83182),x83183),x83181)),f862(f862(f74(x83182),x83184),x83181))) % 186.59/186.36 [8319]~P113(x83192)+E(x83191,f2(x83192))+P1(f862(f862(f278(x83192),x83193),x83194))+~P1(f862(f862(f278(x83192),f862(f862(f74(x83192),x83191),x83193)),f862(f862(f74(x83192),x83191),x83194))) % 186.59/186.36 [8368]P1(f862(f862(f321(x83681),x83682),x83683))+P1(f862(f862(f321(x83681),x83682),x83684))+~P1(f862(f862(f228(f932(x83681,a921)),x83684),f862(f862(f301(x83681),x83682),x83683)))+P1(f862(f862(f227(f932(x83681,a921)),x83684),x83683)) % 186.59/186.36 [8434]~P128(x84341)+P1(f862(f862(f228(x84341),x84343),x84342))+P1(f862(f862(f228(x84341),x84342),x84343))+~P1(f862(f862(f228(x84341),f862(f862(f74(x84341),x84344),x84342)),f862(f862(f74(x84341),x84344),x84343))) % 186.59/186.36 [8435]~P128(x84351)+P1(f862(f862(f228(x84351),x84353),x84352))+P1(f862(f862(f228(x84351),x84352),x84353))+~P1(f862(f862(f228(x84351),f862(f862(f74(x84351),x84352),x84354)),f862(f862(f74(x84351),x84353),x84354))) % 186.59/186.36 [8446]~P128(x84461)+P1(f862(f862(f228(x84461),x84464),f2(x84461)))+P1(f862(f862(f228(x84461),x84462),x84463))+~P1(f862(f862(f228(x84461),f862(f862(f74(x84461),x84462),x84464)),f862(f862(f74(x84461),x84463),x84464))) % 186.59/186.36 [8447]~P128(x84471)+P1(f862(f862(f228(x84471),x84474),f2(x84471)))+P1(f862(f862(f228(x84471),x84472),x84473))+~P1(f862(f862(f228(x84471),f862(f862(f74(x84471),x84474),x84472)),f862(f862(f74(x84471),x84474),x84473))) % 186.59/186.36 [8450]~P128(x84501)+P1(f862(f862(f228(x84501),x84502),x84503))+P1(f862(f862(f228(x84501),f2(x84501)),x84504))+~P1(f862(f862(f228(x84501),f862(f862(f74(x84501),x84504),x84503)),f862(f862(f74(x84501),x84504),x84502))) % 186.59/186.36 [8451]~P128(x84511)+P1(f862(f862(f228(x84511),x84512),x84513))+P1(f862(f862(f228(x84511),f2(x84511)),x84514))+~P1(f862(f862(f228(x84511),f862(f862(f74(x84511),x84513),x84514)),f862(f862(f74(x84511),x84512),x84514))) % 186.59/186.36 [8464]~P128(x84641)+P1(f862(f862(f228(x84641),x84642),f2(x84641)))+P1(f862(f862(f228(x84641),f2(x84641)),x84642))+~P1(f862(f862(f228(x84641),f862(f862(f74(x84641),x84643),x84642)),f862(f862(f74(x84641),x84644),x84642))) % 186.59/186.36 [8465]~P128(x84651)+P1(f862(f862(f228(x84651),x84652),f2(x84651)))+P1(f862(f862(f228(x84651),f2(x84651)),x84652))+~P1(f862(f862(f228(x84651),f862(f862(f74(x84651),x84652),x84653)),f862(f862(f74(x84651),x84652),x84654))) % 186.59/186.36 [8494]~P128(x84941)+~P1(f862(f862(f228(x84941),x84944),f2(x84941)))+P1(f862(f862(f227(x84941),x84942),x84943))+~P1(f862(f862(f227(x84941),f862(f862(f74(x84941),x84944),x84943)),f862(f862(f74(x84941),x84944),x84942))) % 186.59/186.36 [8495]~P128(x84951)+~P1(f862(f862(f228(x84951),x84954),f2(x84951)))+P1(f862(f862(f228(x84951),x84952),x84953))+~P1(f862(f862(f228(x84951),f862(f862(f74(x84951),x84954),x84953)),f862(f862(f74(x84951),x84954),x84952))) % 186.59/186.36 [8506]~P127(x85063)+~P1(f862(f862(f228(x85063),f71(x85063)),x85064))+P1(f862(f862(f227(a924),x85061),x85062))+~P1(f862(f862(f227(x85063),f862(f862(f236(x85063),x85064),x85061)),f862(f862(f236(x85063),x85064),x85062))) % 186.59/186.36 [8508]~P127(x85083)+~P1(f862(f862(f228(x85083),f71(x85083)),x85084))+P1(f862(f862(f228(a924),x85081),x85082))+~P1(f862(f862(f228(x85083),f862(f862(f236(x85083),x85084),x85081)),f862(f862(f236(x85083),x85084),x85082))) % 186.59/186.36 [8518]~P128(x85181)+P1(f862(f862(f227(x85181),x85182),x85183))+~P1(f862(f862(f228(x85181),f2(x85181)),x85184))+~P1(f862(f862(f227(x85181),f862(f862(f74(x85181),x85184),x85182)),f862(f862(f74(x85181),x85184),x85183))) % 186.59/186.36 [8519]~P135(x85191)+P1(f862(f862(f227(x85191),x85192),x85193))+~P1(f862(f862(f228(x85191),f2(x85191)),x85194))+~P1(f862(f862(f227(x85191),f862(f862(f74(x85191),x85194),x85192)),f862(f862(f74(x85191),x85194),x85193))) % 186.59/186.36 [8520]~P135(x85201)+P1(f862(f862(f227(x85201),x85202),x85203))+~P1(f862(f862(f228(x85201),f2(x85201)),x85204))+~P1(f862(f862(f227(x85201),f862(f862(f74(x85201),x85202),x85204)),f862(f862(f74(x85201),x85203),x85204))) % 186.59/186.36 [8521]~P128(x85211)+P1(f862(f862(f228(x85211),x85212),x85213))+~P1(f862(f862(f228(x85211),f2(x85211)),x85214))+~P1(f862(f862(f228(x85211),f862(f862(f74(x85211),x85214),x85212)),f862(f862(f74(x85211),x85214),x85213))) % 186.59/186.36 [8522]~P135(x85221)+P1(f862(f862(f228(x85221),x85222),x85223))+~P1(f862(f862(f227(x85221),f2(x85221)),x85224))+~P1(f862(f862(f228(x85221),f862(f862(f74(x85221),x85224),x85222)),f862(f862(f74(x85221),x85224),x85223))) % 186.59/186.36 [8523]~P131(x85231)+P1(f862(f862(f228(x85231),x85232),x85233))+~P1(f862(f862(f227(x85231),f2(x85231)),x85234))+~P1(f862(f862(f228(x85231),f862(f862(f74(x85231),x85234),x85232)),f862(f862(f74(x85231),x85234),x85233))) % 186.59/186.36 [8524]~P127(x85241)+~P1(f862(f862(f227(x85241),f2(x85241)),x85243))+P1(f862(f862(f228(x85241),x85242),x85243))+~P1(f862(f862(f228(x85241),f862(f862(f236(x85241),x85242),x85244)),f862(f862(f236(x85241),x85243),x85244))) % 186.59/186.36 [8525]~P135(x85251)+P1(f862(f862(f228(x85251),x85252),x85253))+~P1(f862(f862(f227(x85251),f2(x85251)),x85254))+~P1(f862(f862(f228(x85251),f862(f862(f74(x85251),x85252),x85254)),f862(f862(f74(x85251),x85253),x85254))) % 186.59/186.36 [8526]~P131(x85261)+P1(f862(f862(f228(x85261),x85262),x85263))+~P1(f862(f862(f227(x85261),f2(x85261)),x85264))+~P1(f862(f862(f228(x85261),f862(f862(f74(x85261),x85262),x85264)),f862(f862(f74(x85261),x85263),x85264))) % 186.59/186.36 [8569]P1(f862(f862(f321(x85691),x85692),x85693))+~P1(f862(f862(f227(f932(x85691,a921)),x85693),x85694))+~P1(f862(f862(f228(f932(x85691,a921)),x85693),x85694))+P1(f862(f862(f228(f932(x85691,a921)),x85693),f862(f862(f301(x85691),x85692),x85694))) % 186.59/186.36 [8602]~P146(x86021)+~P120(x86021)+P1(f862(f862(f278(x86021),x86022),f862(f862(f73(x86021),f858(x86022,x86023,x86021)),f2(x86021))))+~P1(f862(x86023,f862(f862(f74(x86021),x86022),x86024))) % 186.59/186.36 [8952]E(f862(f862(f3(a1),f376(x89521,x89522,x89523,x89524)),f377(x89521,x89522,x89523,x89524)),x89524)+~P1(f862(f862(f228(a1),f2(a1)),x89523))+~P1(f862(f862(f227(a1),x89521),x89524))+P1(f862(f862(f227(a1),x89521),f862(f862(f73(a1),x89524),x89523))) % 186.59/186.36 [8953]E(f862(f862(f3(a1),f402(x89531,x89532,x89533,x89534)),f403(x89531,x89532,x89533,x89534)),x89534)+~P1(f862(f862(f228(a1),f2(a1)),x89533))+~P1(f862(f862(f228(a1),x89531),x89534))+P1(f862(f862(f228(a1),x89531),f862(f862(f73(a1),x89534),x89533))) % 186.59/186.36 [9105]~E(f862(f862(f157(x91051),x91053),f684(x91054,x91053,x91051,x91052)),f862(f862(f157(x91051),x91054),f684(x91054,x91053,x91051,x91052)))+E(f862(f862(f168(x91051),x91052),x91053),f862(f862(f168(x91051),x91052),x91054))+~P1(f862(f862(f227(a924),x91052),f862(f182(f925(x91051)),x91053)))+~P1(f862(f862(f227(a924),x91052),f862(f182(f925(x91051)),x91054))) % 186.59/186.36 [9167]~P1(f862(f862(f228(a1),f2(a1)),x91673))+~P1(f862(f862(f227(a1),x91671),x91674))+P1(f862(f862(f321(a1),f376(x91671,x91672,x91673,x91674)),x91672))+P1(f862(f862(f227(a1),x91671),f862(f862(f73(a1),x91674),x91673))) % 186.59/186.36 [9168]~P1(f862(f862(f228(a1),f2(a1)),x91683))+~P1(f862(f862(f228(a1),x91681),x91684))+P1(f862(f862(f321(a1),f402(x91681,x91682,x91683,x91684)),x91682))+P1(f862(f862(f228(a1),x91681),f862(f862(f73(a1),x91684),x91683))) % 186.59/186.36 [9208]~P104(x92081)+~P1(f862(f54(x92081),x92083))+~P1(f862(f862(f321(x92081),x92084),x92083))+P1(f862(f862(f227(x92081),f862(f862(f57(x92081,x92081,f94(x92081)),x92082),x92083)),f862(f862(f94(x92081),x92084),x92082))) % 186.59/186.36 [9209]~P109(x92091)+~P1(f862(f54(x92091),x92093))+~P1(f862(f862(f321(x92091),x92094),x92093))+P1(f862(f862(f227(x92091),f862(f862(f57(x92091,x92091,f225(x92091)),x92092),x92093)),f862(f862(f225(x92091),x92094),x92092))) % 186.59/186.36 [9253]E(f862(f862(f168(x92531),x92532),x92533),f862(f862(f168(x92531),x92532),x92534))+P1(f862(f862(f228(a924),f684(x92533,x92534,x92531,x92532)),x92532))+~P1(f862(f862(f227(a924),x92532),f862(f182(f925(x92531)),x92533)))+~P1(f862(f862(f227(a924),x92532),f862(f182(f925(x92531)),x92534))) % 186.59/186.36 [9258]~P1(f862(f862(f228(a1),f2(a1)),x92583))+~P1(f862(f862(f227(a1),x92581),x92582))+P1(f862(f862(f321(a1),f377(x92581,x92584,x92583,x92582)),f296(a1,f71(a1),x92583)))+P1(f862(f862(f227(a1),x92581),f862(f862(f73(a1),x92582),x92583))) % 186.59/186.36 [9259]~P1(f862(f862(f228(a1),f2(a1)),x92593))+~P1(f862(f862(f228(a1),x92591),x92592))+P1(f862(f862(f321(a1),f403(x92591,x92594,x92593,x92592)),f296(a1,f71(a1),x92593)))+P1(f862(f862(f228(a1),x92591),f862(f862(f73(a1),x92592),x92593))) % 186.59/186.36 [9587]~P103(x95871)+~P1(f862(f54(x95871),x95874))+P1(f862(f862(f321(x95871),f909(x95872,x95873,x95874,x95871)),x95874))+P1(f862(f862(f227(x95871),f862(f862(f57(x95871,x95871,f103(x95871)),x95872),x95874)),f862(f862(f103(x95871),x95873),x95872))) % 186.59/186.36 [9588]~P109(x95881)+~P1(f862(f54(x95881),x95884))+P1(f862(f862(f321(x95881),f477(x95882,x95883,x95884,x95881)),x95884))+P1(f862(f862(f227(x95881),f862(f862(f57(x95881,x95881,f226(x95881)),x95882),x95884)),f862(f862(f226(x95881),x95883),x95882))) % 186.59/186.36 [9722]~P103(x97221)+~P1(f862(f54(x97221),x97223))+~P1(f862(f862(f227(x97221),f909(x97222,x97224,x97223,x97221)),x97224))+P1(f862(f862(f227(x97221),f862(f862(f57(x97221,x97221,f103(x97221)),x97222),x97223)),f862(f862(f103(x97221),x97224),x97222))) % 186.59/186.36 [9723]~P109(x97231)+~P1(f862(f54(x97231),x97233))+~P1(f862(f862(f227(x97231),f477(x97232,x97234,x97233,x97231)),x97234))+P1(f862(f862(f227(x97231),f862(f862(f57(x97231,x97231,f226(x97231)),x97232),x97233)),f862(f862(f226(x97231),x97234),x97232))) % 186.59/186.36 [9725]~P1(f862(f862(f227(a1),f2(a1)),x97254))+~P1(f862(f862(f228(a1),f2(a1)),x97253))+~P1(f862(f862(f228(a1),x97254),x97251))+P1(f862(f862(f228(a1),f862(f862(f73(a1),f862(f862(f74(a1),x97251),f38(a1,x97252,x97253))),x97254)),f862(f862(f74(a1),x97251),x97253))) % 186.59/186.36 [10117]E(x101171,x101172)+P1(f862(f862(f321(f931(f925(x101173),f925(x101173))),f862(f862(f244(f925(x101173),f925(x101173)),x101172),x101171)),f140(x101173,x101174)))+P1(f862(f862(f321(f931(f925(x101173),f925(x101173))),f862(f862(f244(f925(x101173),f925(x101173)),x101171),x101172)),f140(x101173,x101174)))+~P1(f862(f862(f321(f931(x101173,x101173)),f862(f862(f244(x101173,x101173),f650(x101171,x101172,x101174,x101173)),f655(x101171,x101172,x101174,x101173))),x101174)) % 186.59/186.36 [10118]E(x101181,x101182)+P1(f862(f862(f321(f931(f925(x101183),f925(x101183))),f862(f862(f244(f925(x101183),f925(x101183)),x101182),x101181)),f140(x101183,x101184)))+P1(f862(f862(f321(f931(f925(x101183),f925(x101183))),f862(f862(f244(f925(x101183),f925(x101183)),x101181),x101182)),f140(x101183,x101184)))+~P1(f862(f862(f321(f931(x101183,x101183)),f862(f862(f244(x101183,x101183),f655(x101181,x101182,x101184,x101183)),f650(x101181,x101182,x101184,x101183))),x101184)) % 186.59/186.36 [7652]~P103(x76521)+~P1(f862(f862(f227(x76521),x76523),x76524))+~P1(f862(f862(f227(x76521),x76522),x76524))+P1(f862(f862(f227(x76521),f862(f862(f103(x76521),x76522),x76523)),x76524)) % 186.59/186.36 [7655]~P109(x76551)+~P1(f862(f862(f227(x76551),x76553),x76554))+~P1(f862(f862(f227(x76551),x76552),x76554))+P1(f862(f862(f227(x76551),f862(f862(f226(x76551),x76552),x76553)),x76554)) % 186.59/186.36 [7656]~P109(x76561)+~P1(f862(f862(f228(x76561),x76563),x76564))+~P1(f862(f862(f228(x76561),x76562),x76564))+P1(f862(f862(f228(x76561),f862(f862(f226(x76561),x76562),x76563)),x76564)) % 186.59/186.36 [7893]~P61(x78931)+E(f862(f862(f73(x78931),f862(f862(f29(x78931),x78932),x78933)),f862(f862(f29(x78931),x78934),x78933)),f862(f862(f29(x78931),f862(f862(f73(x78931),x78932),x78934)),x78933))+~P1(f862(f862(f278(x78931),x78933),x78934))+~P1(f862(f862(f278(x78931),x78933),x78932)) % 186.59/186.36 [7975]~E(x79751,x79753)+E(f132(a924,f862(f295(a924,x79751),x79752)),f862(f862(f144(a924),x79753),x79754))+~E(f132(a924,f862(f295(a924,f862(f862(f73(a924),x79751),f71(a924))),x79752)),x79754)+~P1(f862(f862(f228(a924),x79751),x79752)) % 186.59/186.36 [7983]~P109(x79831)+P1(f862(f862(f227(x79831),x79832),x79833))+P1(f862(f862(f227(x79831),x79834),x79833))+~P1(f862(f862(f227(x79831),f862(f862(f225(x79831),x79834),x79832)),x79833)) % 186.59/186.36 [7984]~P109(x79841)+P1(f862(f862(f228(x79841),x79842),x79843))+P1(f862(f862(f228(x79841),x79844),x79843))+~P1(f862(f862(f228(x79841),f862(f862(f225(x79841),x79844),x79842)),x79843)) % 186.59/186.36 [8264]~P66(x82641)+~P1(f862(f862(f228(x82641),f2(x82641)),x82643))+~P1(f862(f862(f227(x82641),x82642),f862(f862(f282(x82641),x82644),x82643)))+P1(f862(f862(f227(x82641),f862(f862(f74(x82641),x82642),x82643)),x82644)) % 186.59/186.36 [8265]~P67(x82651)+~P1(f862(f862(f228(x82651),f2(x82651)),x82653))+~P1(f862(f862(f227(x82651),x82652),f862(f862(f282(x82651),x82654),x82653)))+P1(f862(f862(f227(x82651),f862(f862(f74(x82651),x82652),x82653)),x82654)) % 186.59/186.36 [8266]~P66(x82661)+~P1(f862(f862(f228(x82661),f2(x82661)),x82663))+~P1(f862(f862(f227(x82661),x82662),f862(f862(f74(x82661),x82664),x82663)))+P1(f862(f862(f227(x82661),f862(f862(f282(x82661),x82662),x82663)),x82664)) % 186.59/186.36 [8268]~P67(x82681)+~P1(f862(f862(f228(x82681),f2(x82681)),x82683))+~P1(f862(f862(f227(x82681),x82682),f862(f862(f74(x82681),x82684),x82683)))+P1(f862(f862(f227(x82681),f862(f862(f282(x82681),x82682),x82683)),x82684)) % 186.59/186.36 [8269]~P66(x82691)+~P1(f862(f862(f228(x82691),f2(x82691)),x82693))+~P1(f862(f862(f228(x82691),x82692),f862(f862(f282(x82691),x82694),x82693)))+P1(f862(f862(f228(x82691),f862(f862(f74(x82691),x82692),x82693)),x82694)) % 186.59/186.36 [8270]~P67(x82701)+~P1(f862(f862(f228(x82701),f2(x82701)),x82703))+~P1(f862(f862(f228(x82701),x82702),f862(f862(f282(x82701),x82704),x82703)))+P1(f862(f862(f228(x82701),f862(f862(f74(x82701),x82702),x82703)),x82704)) % 186.59/186.36 [8271]~P66(x82711)+~P1(f862(f862(f228(x82711),f2(x82711)),x82713))+~P1(f862(f862(f228(x82711),x82712),f862(f862(f74(x82711),x82714),x82713)))+P1(f862(f862(f228(x82711),f862(f862(f282(x82711),x82712),x82713)),x82714)) % 186.59/186.36 [8273]~P67(x82731)+~P1(f862(f862(f228(x82731),f2(x82731)),x82733))+~P1(f862(f862(f228(x82731),x82732),f862(f862(f74(x82731),x82734),x82733)))+P1(f862(f862(f228(x82731),f862(f862(f282(x82731),x82732),x82733)),x82734)) % 186.59/186.36 [8404]~P66(x84041)+~P1(f862(f862(f228(x84041),f2(x84041)),x84044))+P1(f862(f862(f227(x84041),x84042),f862(f862(f74(x84041),x84043),x84044)))+~P1(f862(f862(f227(x84041),f862(f862(f282(x84041),x84042),x84044)),x84043)) % 186.59/186.36 [8405]~P66(x84051)+~P1(f862(f862(f228(x84051),f2(x84051)),x84054))+P1(f862(f862(f227(x84051),x84052),f862(f862(f282(x84051),x84053),x84054)))+~P1(f862(f862(f227(x84051),f862(f862(f74(x84051),x84052),x84054)),x84053)) % 186.59/186.36 [8407]~P67(x84071)+~P1(f862(f862(f228(x84071),f2(x84071)),x84074))+P1(f862(f862(f227(x84071),x84072),f862(f862(f74(x84071),x84073),x84074)))+~P1(f862(f862(f227(x84071),f862(f862(f282(x84071),x84072),x84074)),x84073)) % 186.59/186.36 [8408]~P67(x84081)+~P1(f862(f862(f228(x84081),f2(x84081)),x84084))+P1(f862(f862(f227(x84081),x84082),f862(f862(f282(x84081),x84083),x84084)))+~P1(f862(f862(f227(x84081),f862(f862(f74(x84081),x84082),x84084)),x84083)) % 186.59/186.36 [8409]~P66(x84091)+~P1(f862(f862(f228(x84091),f2(x84091)),x84094))+P1(f862(f862(f228(x84091),x84092),f862(f862(f74(x84091),x84093),x84094)))+~P1(f862(f862(f228(x84091),f862(f862(f282(x84091),x84092),x84094)),x84093)) % 186.59/186.36 [8410]~P66(x84101)+~P1(f862(f862(f228(x84101),f2(x84101)),x84104))+P1(f862(f862(f228(x84101),x84102),f862(f862(f282(x84101),x84103),x84104)))+~P1(f862(f862(f228(x84101),f862(f862(f74(x84101),x84102),x84104)),x84103)) % 186.59/186.36 [8412]~P67(x84121)+~P1(f862(f862(f228(x84121),f2(x84121)),x84124))+P1(f862(f862(f228(x84121),x84122),f862(f862(f74(x84121),x84123),x84124)))+~P1(f862(f862(f228(x84121),f862(f862(f282(x84121),x84122),x84124)),x84123)) % 186.59/186.36 [8413]~P67(x84131)+~P1(f862(f862(f228(x84131),f2(x84131)),x84134))+P1(f862(f862(f228(x84131),x84132),f862(f862(f282(x84131),x84133),x84134)))+~P1(f862(f862(f228(x84131),f862(f862(f74(x84131),x84132),x84134)),x84133)) % 186.59/186.36 [8572]~P67(x85721)+~P1(f862(f862(f228(x85721),x85723),f2(x85721)))+~P1(f862(f862(f227(x85721),f862(f862(f282(x85721),x85724),x85723)),x85722))+P1(f862(f862(f227(x85721),f862(f862(f74(x85721),x85722),x85723)),x85724)) % 186.59/186.36 [8573]~P67(x85731)+~P1(f862(f862(f228(x85731),x85733),f2(x85731)))+~P1(f862(f862(f227(x85731),f862(f862(f74(x85731),x85734),x85733)),x85732))+P1(f862(f862(f227(x85731),f862(f862(f282(x85731),x85732),x85733)),x85734)) % 186.59/186.36 [8574]~P67(x85741)+~P1(f862(f862(f228(x85741),x85743),f2(x85741)))+~P1(f862(f862(f228(x85741),f862(f862(f282(x85741),x85744),x85743)),x85742))+P1(f862(f862(f228(x85741),f862(f862(f74(x85741),x85742),x85743)),x85744)) % 186.59/186.36 [8575]~P67(x85751)+~P1(f862(f862(f228(x85751),x85753),f2(x85751)))+~P1(f862(f862(f228(x85751),f862(f862(f74(x85751),x85754),x85753)),x85752))+P1(f862(f862(f228(x85751),f862(f862(f282(x85751),x85752),x85753)),x85754)) % 186.59/186.36 [8587]~P1(f862(x85871,x85874))+~P1(f862(f862(f228(a924),x85872),f862(f862(f74(a924),x85873),f862(a105,x85874))))+P1(f862(x85871,f862(f862(f29(a924),x85872),x85873)))+~P1(f862(f862(f227(a924),f862(f862(f74(a924),x85873),x85874)),x85872)) % 186.59/186.36 [8799]~P103(x87991)+~P1(f862(f54(x87991),x87994))+~P1(f862(f862(f321(x87991),x87992),x87994))+P1(f862(f862(f227(x87991),f862(f862(f103(x87991),x87992),x87993)),f862(f862(f57(x87991,x87991,f103(x87991)),x87993),x87994))) % 186.59/186.36 [8800]~P109(x88001)+~P1(f862(f54(x88001),x88004))+~P1(f862(f862(f321(x88001),x88002),x88004))+P1(f862(f862(f227(x88001),f862(f862(f226(x88001),x88002),x88003)),f862(f862(f57(x88001,x88001,f226(x88001)),x88003),x88004))) % 186.59/186.36 [8954]~P1(f862(f54(x89541),x89542))+E(f862(f28(x89541),f862(f862(f3(f932(x89541,a921)),x89542),f862(f862(f301(x89541),x89543),x89544))),f862(f862(f3(a924),f862(f28(x89541),f862(f862(f3(f932(x89541,a921)),x89542),x89544))),f71(a924)))+P1(f862(f862(f321(x89541),x89543),x89544))+~P1(f862(f862(f321(x89541),x89543),x89542)) % 186.59/186.36 [9033]E(f862(f862(f73(a1),f378(x90331,x90332,x90333,x90334)),f379(x90331,x90332,x90333,x90334)),x90334)+~P1(f862(f862(f228(a1),f2(a1)),x90333))+~P1(f862(f862(f227(a1),x90334),x90331))+P1(f862(f862(f227(a1),f862(f862(f3(a1),x90334),x90333)),x90331)) % 186.59/186.36 [9034]E(f862(f862(f73(a1),f404(x90341,x90342,x90343,x90344)),f405(x90341,x90342,x90343,x90344)),x90344)+~P1(f862(f862(f228(a1),f2(a1)),x90343))+~P1(f862(f862(f228(a1),x90344),x90341))+P1(f862(f862(f228(a1),f862(f862(f3(a1),x90344),x90343)),x90341)) % 186.59/186.36 [9238]~P1(f862(f862(f228(a1),f2(a1)),x92383))+~P1(f862(f862(f227(a1),x92384),x92381))+P1(f862(f862(f321(a1),f378(x92381,x92382,x92383,x92384)),x92382))+P1(f862(f862(f227(a1),f862(f862(f3(a1),x92384),x92383)),x92381)) % 186.59/186.36 [9239]~P1(f862(f862(f228(a1),f2(a1)),x92393))+~P1(f862(f862(f228(a1),x92394),x92391))+P1(f862(f862(f321(a1),f404(x92391,x92392,x92393,x92394)),x92392))+P1(f862(f862(f228(a1),f862(f862(f3(a1),x92394),x92393)),x92391)) % 186.59/186.36 [9327]~P1(f862(f862(f228(a1),f2(a1)),x93272))+~P1(f862(f862(f227(a1),x93271),x93273))+P1(f862(f862(f321(a1),f379(x93273,x93274,x93272,x93271)),f296(a1,f71(a1),x93272)))+P1(f862(f862(f227(a1),f862(f862(f3(a1),x93271),x93272)),x93273)) % 186.59/186.36 [9328]~P1(f862(f862(f228(a1),f2(a1)),x93282))+~P1(f862(f862(f228(a1),x93281),x93283))+P1(f862(f862(f321(a1),f405(x93283,x93284,x93282,x93281)),f296(a1,f71(a1),x93282)))+P1(f862(f862(f228(a1),f862(f862(f3(a1),x93281),x93282)),x93283)) % 186.59/186.36 [9346]~P1(f862(f862(f227(a1),f2(a1)),x93464))+~P1(f862(f862(f228(a1),f2(a1)),x93463))+~P1(f862(f862(f228(a1),x93464),x93461))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),f862(f862(f74(a1),x93461),f38(a1,x93462,x93463))),x93464))) % 186.59/186.36 [9375]E(x93751,x93752)+~P37(x93753,x93754)+~P1(f862(f862(f321(f931(x93753,x93753)),f862(f862(f244(x93753,x93753),x93752),x93751)),x93754))+~P1(f862(f862(f321(f931(x93753,x93753)),f862(f862(f244(x93753,x93753),x93751),x93752)),x93754)) % 186.59/186.36 [9407]~P104(x94071)+~P1(f862(f54(x94071),x94074))+~P1(f862(f862(f227(x94071),x94072),f906(x94073,x94072,x94074,x94071)))+P1(f862(f862(f227(x94071),f862(f862(f94(x94071),x94072),x94073)),f862(f862(f57(x94071,x94071,f94(x94071)),x94073),x94074))) % 186.59/186.36 [9408]~P109(x94081)+~P1(f862(f54(x94081),x94084))+~P1(f862(f862(f227(x94081),x94082),f463(x94083,x94082,x94084,x94081)))+P1(f862(f862(f227(x94081),f862(f862(f225(x94081),x94082),x94083)),f862(f862(f57(x94081,x94081,f225(x94081)),x94083),x94084))) % 186.59/186.36 [9425]~P1(f862(f862(f227(a1),x94254),f2(a1)))+~P1(f862(f862(f228(a1),f2(a1)),x94252))+~P1(f862(f862(f228(a1),x94251),x94254))+P1(f862(f862(f228(a1),f862(f862(f74(a1),x94251),x94252)),f862(f862(f73(a1),f862(f862(f74(a1),x94251),f38(a1,x94253,x94252))),x94254))) % 186.59/186.36 [9450]P1(f862(f54(x94501),x94502))+~P1(f862(f54(x94501),x94503))+~P1(f862(f862(f321(f932(x94501,a921)),x94502),f862(f862(f53(x94501),x94503),x94504)))+~P1(f862(f862(f227(f932(f931(x94501,x94501),a921)),x94504),f862(f862(f246(x94501,x94501),x94503),f862(f18(f932(x94501,a921),x94501),x94503)))) % 186.59/186.36 [9474]~P104(x94741)+~P1(f862(f54(x94741),x94744))+P1(f862(f862(f321(x94741),f906(x94742,x94743,x94744,x94741)),x94744))+P1(f862(f862(f227(x94741),f862(f862(f94(x94741),x94743),x94742)),f862(f862(f57(x94741,x94741,f94(x94741)),x94742),x94744))) % 186.59/186.36 [9475]~P109(x94751)+~P1(f862(f54(x94751),x94754))+P1(f862(f862(f321(x94751),f463(x94752,x94753,x94754,x94751)),x94754))+P1(f862(f862(f227(x94751),f862(f862(f225(x94751),x94753),x94752)),f862(f862(f57(x94751,x94751,f225(x94751)),x94752),x94754))) % 186.59/186.36 [9889]~P1(f862(f54(x98892),x98894))+~P1(f862(f54(x98891),x98893))+~P1(f862(f862(f227(a924),f862(f28(x98892),x98894)),f862(f28(x98891),x98893)))+P1(f862(f862(f227(f932(x98891,a921)),f862(f302(x98892,x98891,f543(x98893,x98891,x98894,x98892)),x98894)),x98893)) % 186.59/186.36 [9525]~P1(f862(f862(f321(x95251),x95252),x95254))+P1(f862(f862(f321(x95251),x95252),x95253))+~P1(f862(f862(f228(f932(x95251,a921)),x95254),f862(f862(f301(x95251),x95252),x95253)))+P1(f862(f862(f228(f932(x95251,a921)),f862(f862(f3(f932(x95251,a921)),x95254),f862(f862(f301(x95251),x95252),f181(f932(x95251,a921))))),x95253)) % 186.59/186.36 [9703]~P1(f862(f862(f321(x97031),x97032),x97034))+P1(f862(f862(f321(x97031),x97032),x97033))+P1(f862(f862(f228(f932(x97031,a921)),x97034),f862(f862(f301(x97031),x97032),x97033)))+~P1(f862(f862(f228(f932(x97031,a921)),f862(f862(f3(f932(x97031,a921)),x97034),f862(f862(f301(x97031),x97032),f181(f932(x97031,a921))))),x97033)) % 186.59/186.36 [9728]P1(f862(f862(f321(x97281),x97282),x97283))+~P1(f862(f862(f227(f932(x97281,a921)),x97284),x97283))+P1(f862(f862(f228(f932(x97281,a921)),x97284),f862(f862(f301(x97281),x97282),x97283)))+~P1(f862(f862(f228(f932(x97281,a921)),f862(f862(f3(f932(x97281,a921)),x97284),f862(f862(f301(x97281),x97282),f181(f932(x97281,a921))))),x97283)) % 186.59/186.36 [9733]~P1(f862(f862(f321(x97331),x97333),x97332))+~P1(f862(f862(f228(f932(x97331,a921)),x97332),x97334))+P1(f862(f862(f228(f932(x97331,a921)),x97332),f862(f862(f301(x97331),x97333),x97334)))+~P1(f862(f862(f228(f932(x97331,a921)),f862(f862(f3(f932(x97331,a921)),x97332),f862(f862(f301(x97331),x97333),f181(f932(x97331,a921))))),x97334)) % 186.59/186.36 [9749]~P1(f862(f862(f227(f932(x97491,a921)),x97492),x97494))+~P1(f862(f862(f228(f932(x97491,a921)),x97492),x97494))+P1(f862(f862(f228(f932(x97491,a921)),x97492),f862(f862(f301(x97491),x97493),x97494)))+~P1(f862(f862(f228(f932(x97491,a921)),f862(f862(f3(f932(x97491,a921)),x97492),f862(f862(f301(x97491),x97493),f181(f932(x97491,a921))))),x97494)) % 186.59/186.36 [9794]~P110(x97942)+~P63(x97941)+~P1(f862(f862(f227(f932(x97941,x97942)),x97943),x97944))+P1(f862(f50(x97941),f862(f862(f20(x97941,x97942,a921),f862(f862(f10(x97942,f932(x97942,a921),x97941),f227(x97942)),x97943)),x97944))) % 186.59/186.36 [9938]~P110(x99382)+~P63(x99381)+P1(f862(f862(f227(f932(x99381,x99382)),x99383),x99384))+~P1(f862(f50(x99381),f862(f862(f20(x99381,x99382,a921),f862(f862(f10(x99382,f932(x99382,a921),x99381),f227(x99382)),x99383)),x99384))) % 186.59/186.36 [10108]E(f862(f862(f157(x101081),f862(f862(f157(f925(x101081)),f172(x101081,x101082)),x101083)),x101084),f862(f862(f157(x101081),f862(f862(f157(f925(x101081)),x101082),x101084)),x101083))+~P1(f862(f862(f228(a924),x101083),f862(f182(f925(f925(x101081))),f172(x101081,x101082))))+~P11(a924,f862(f161(a924),f862(f862(f147(f925(x101081),a924),f182(f925(x101081))),x101082)))+~P1(f862(f862(f228(a924),x101084),f862(f182(f925(f925(x101081))),f862(f129(f925(x101081),f862(f862(f10(a924,a921,f925(x101081)),f862(f228(a924),x101083)),f182(f925(x101081)))),x101082)))) % 186.59/186.36 [10129]~P1(f862(f862(f321(f931(a924,a924)),x101294),x101291))+~P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),x101294),x101292)),a64))+~P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x101291),x101293)),a65))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x101291),f862(f862(f301(f931(a924,a924)),x101292),x101293))),a65)) % 186.59/186.36 [10130]~P1(f862(f862(f321(f931(a924,a924)),x101304),x101301))+~P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),x101304),x101302)),a26))+~P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x101301),x101303)),a62))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x101301),f862(f862(f301(f931(a924,a924)),x101302),x101303))),a62)) % 186.59/186.36 [10017]~P110(x100172)+~P63(x100171)+~P1(f862(f862(f228(f932(x100171,x100172)),x100173),x100174))+P1(f862(f49(x100171),f862(f862(f10(a921,a921,x100171),a314),f862(f862(f20(x100171,x100172,a921),f862(f862(f10(x100172,f932(x100172,a921),x100171),a317),x100173)),x100174)))) % 186.59/186.36 [10141]~P1(f862(f862(f321(f931(a924,a924)),x101414),x101413))+~P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),x101411),x101414)),a26))+~P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x101412),x101413)),a27))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),f862(f862(f301(f931(a924,a924)),x101411),x101412)),x101413)),a27)) % 186.59/186.36 [10142]~P1(f862(f862(f321(f931(a924,a924)),x101424),x101423))+~P1(f862(f862(f321(f931(f931(a924,a924),f931(a924,a924))),f862(f862(f244(f931(a924,a924),f931(a924,a924)),x101421),x101424)),a64))+~P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),x101422),x101423)),a63))+P1(f862(f862(f321(f931(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921))),f862(f862(f244(f932(f931(a924,a924),a921),f932(f931(a924,a924),a921)),f862(f862(f301(f931(a924,a924)),x101421),x101422)),x101423)),a63)) % 186.59/186.36 [6222]~P5(x62224,x62221)+~P1(f862(f862(x62221,x62222),x62225))+P1(f862(f862(x62221,x62222),x62223))+~P1(f862(f862(x62221,x62225),x62223)) % 186.59/186.36 [6223]~P47(x62234,x62231)+~P1(f862(f862(x62231,x62232),x62235))+P1(f862(f862(x62231,x62232),x62233))+~P1(f862(f862(x62231,x62235),x62233)) % 186.59/186.36 [6224]~P13(x62244,x62241)+~P1(f862(f862(x62241,x62242),x62245))+P1(f862(f862(x62241,x62242),x62243))+~P1(f862(f862(x62241,x62245),x62243)) % 186.59/186.36 [8939]~P5(x89394,x89393)+~P1(f862(x89391,x89395))+P1(f862(x89392,f837(x89392,x89391,x89393,x89394)))+P1(f862(x89391,f836(x89392,x89391,x89393,x89394))) % 186.59/186.36 [9175]~P5(x91754,x91753)+~P1(f862(x91752,x91755))+~P1(f862(x91751,f836(x91751,x91752,x91753,x91754)))+P1(f862(x91751,f837(x91751,x91752,x91753,x91754))) % 186.59/186.36 [9359]~P5(x93594,x93593)+~P1(f862(x93591,x93595))+P1(f862(f862(f321(x93594),f837(x93592,x93591,x93593,x93594)),f262(x93594,x93593)))+P1(f862(x93591,f836(x93592,x93591,x93593,x93594))) % 186.59/186.36 [9483]~P5(x94831,x94834)+~P1(f862(x94833,x94835))+~P1(f862(x94832,f836(x94832,x94833,x94834,x94831)))+P1(f862(f862(f321(x94831),f837(x94832,x94833,x94834,x94831)),f262(x94831,x94834))) % 186.59/186.36 [9783]~P36(x97831,x97834)+P1(f862(f862(f321(f931(f925(x97831),f925(x97831))),f862(f862(f244(f925(x97831),f925(x97831)),x97832),x97833)),f140(x97831,x97834)))+~P1(f862(f862(f321(f931(f925(x97831),f925(x97831))),f862(f862(f244(f925(x97831),f925(x97831)),x97832),x97835)),f140(x97831,x97834)))+~P1(f862(f862(f321(f931(f925(x97831),f925(x97831))),f862(f862(f244(f925(x97831),f925(x97831)),x97835),x97833)),f140(x97831,x97834))) % 186.59/186.36 [5457]~P59(x54575)+E(x54571,x54572)+~E(x54573,x54574)+~E(f862(f862(f3(x54575),x54573),x54574),f862(f862(f3(x54575),x54571),x54572)) % 186.59/186.36 [6336]~P15(x63365,x63361,x63363)+E(f862(f862(x63361,x63362),f862(x63363,x63364)),f862(x63363,x63364))+~P1(f862(f54(x63365),x63364))+~P1(f862(f862(f321(x63365),x63362),x63364)) % 186.59/186.36 [6533]~P78(x65331)+~E(f862(f862(f3(x65331),x65334),x65335),f862(f862(f3(x65331),x65332),x65333))+~P1(f862(f862(f227(x65331),x65334),x65335))+P1(f862(f862(f227(x65331),x65332),x65333)) % 186.59/186.36 [6535]~P78(x65351)+~E(f862(f862(f3(x65351),x65354),x65355),f862(f862(f3(x65351),x65352),x65353))+~P1(f862(f862(f228(x65351),x65354),x65355))+P1(f862(f862(f228(x65351),x65352),x65353)) % 186.59/186.36 [7521]~E(x75212,f862(f862(f144(x75211),x75214),x75215))+P1(f862(f862(f321(f925(x75211)),x75212),f154(x75211,x75213)))+~P1(f862(f862(f321(f925(x75211)),x75215),f154(x75211,x75213)))+~P1(f862(f862(f321(x75211),x75214),x75213)) % 186.59/186.36 [7924]~E(f862(f182(f925(x79241)),x79243),f862(f182(f925(x79242)),x79244))+~E(f862(f862(f147(f931(x79241,x79242),x79242),f248(x79241,x79242)),x79245),x79244)+~E(f862(f862(f147(f931(x79241,x79242),x79241),f243(x79241,x79242)),x79245),x79243)+E(f862(f862(f174(x79241,x79242),x79243),x79244),x79245) % 186.59/186.36 [8260]~P110(x82601)+P1(f862(f862(f228(f932(x82601,a921)),f296(x82601,x82602,x82603)),f296(x82601,x82604,x82605)))+~P1(f862(f862(f227(x82601),x82604),x82605))+P1(f862(f862(f227(x82601),x82602),x82603)) % 186.59/186.36 [8361]~P110(x83611)+P1(f862(f862(f227(f932(x83611,a921)),f296(x83611,x83612,x83613)),f296(x83611,x83614,x83615)))+~P1(f862(f862(f227(x83611),x83613),x83615))+~P1(f862(f862(f227(x83611),x83614),x83612)) % 186.59/186.36 [8480]~P109(x84801)+P1(f862(f862(f227(x84801),x84802),x84803))+P1(f862(f862(f227(x84801),x84804),x84803))+~P1(f862(f862(f227(f932(x84801,a921)),f862(f295(x84801,x84803),x84802)),f862(f295(x84801,x84804),x84805))) % 186.59/186.36 [8481]~P109(x84811)+P1(f862(f862(f227(x84811),x84812),x84813))+P1(f862(f862(f227(x84811),x84812),x84814))+~P1(f862(f862(f227(f932(x84811,a921)),f862(f295(x84811,x84813),x84812)),f862(f295(x84811,x84815),x84814))) % 186.59/186.36 [8715]~P110(x87151)+~P1(f862(f862(f227(f932(x87151,a921)),f296(x87151,x87154,x87152)),f296(x87151,x87155,x87153)))+P1(f862(f862(f227(x87151),x87152),x87153))+~P1(f862(f862(f227(x87151),x87154),x87152)) % 186.59/186.36 [8716]~P110(x87161)+~P1(f862(f862(f228(f932(x87161,a921)),f296(x87161,x87164,x87162)),f296(x87161,x87165,x87163)))+P1(f862(f862(f227(x87161),x87162),x87163))+~P1(f862(f862(f227(x87161),x87164),x87162)) % 186.59/186.36 [8717]~P110(x87171)+~P1(f862(f862(f227(f932(x87171,a921)),f296(x87171,x87173,x87174)),f296(x87171,x87172,x87175)))+P1(f862(f862(f227(x87171),x87172),x87173))+~P1(f862(f862(f227(x87171),x87173),x87174)) % 186.59/186.36 [8718]~P110(x87181)+~P1(f862(f862(f228(f932(x87181,a921)),f296(x87181,x87183,x87184)),f296(x87181,x87182,x87185)))+P1(f862(f862(f227(x87181),x87182),x87183))+~P1(f862(f862(f227(x87181),x87183),x87184)) % 186.59/186.36 [6221]~P15(x62212,x62215,x62213)+E(x62211,f181(f932(x62212,a921)))+~P1(f862(f54(x62212),x62211))+E(f862(x62213,f862(f862(f301(x62212),x62214),x62211)),f862(f862(x62215,x62214),f862(x62213,x62211))) % 186.59/186.36 [7011]~E(x70111,x70112)+~E(f862(f862(f94(f932(x70113,a921)),x70114),x70115),f181(f932(x70113,a921)))+~P1(f862(f862(f321(x70113),x70112),x70115))+~P1(f862(f862(f321(x70113),x70111),x70114)) % 186.59/186.36 [7092]~P16(x70922,x70925,x70921)+~P1(f862(f54(x70922),x70924))+E(f862(x70921,f862(f862(f301(x70922),x70923),x70924)),f862(f862(f57(x70922,x70922,x70925),x70923),x70924))+P1(f862(f862(f321(x70922),x70923),x70924)) % 186.59/186.36 [7161]~P72(x71612)+~P1(f862(f54(x71611),x71615))+E(f862(f862(f8(x71611,x71612),x71613),f862(f862(f301(x71611),x71614),x71615)),f862(f862(f73(x71612),f862(x71613,x71614)),f862(f862(f8(x71611,x71612),x71613),x71615)))+P1(f862(f862(f321(x71611),x71614),x71615)) % 186.59/186.36 [7163]~P71(x71632)+~P1(f862(f54(x71631),x71635))+E(f862(f862(f11(x71631,x71632),x71633),f862(f862(f301(x71631),x71634),x71635)),f862(f862(f74(x71632),f862(x71633,x71634)),f862(f862(f11(x71631,x71632),x71633),x71635)))+P1(f862(f862(f321(x71631),x71634),x71635)) % 186.59/186.36 [7665]~P16(x76652,x76655,x76651)+~P1(f862(f54(x76652),x76654))+E(f862(x76651,f862(f862(f301(x76652),x76653),x76654)),x76653)+~E(f862(f862(f3(f932(x76652,a921)),x76654),f862(f862(f301(x76652),x76653),f181(f932(x76652,a921)))),f181(f932(x76652,a921))) % 186.59/186.36 [8024]~P61(x80241)+E(f862(f862(f29(x80241),f862(f862(f74(x80241),x80242),x80243)),f862(f862(f74(x80241),x80244),x80245)),f862(f862(f74(x80241),f862(f862(f29(x80241),x80242),x80244)),f862(f862(f29(x80241),x80243),x80245)))+~P1(f862(f862(f278(x80241),x80245),x80243))+~P1(f862(f862(f278(x80241),x80244),x80242)) % 186.59/186.36 [8028]~P103(x80281)+~P1(f862(f862(f227(x80281),x80283),x80285))+~P1(f862(f862(f227(x80281),x80282),x80284))+P1(f862(f862(f227(x80281),f862(f862(f103(x80281),x80282),x80283)),f862(f862(f103(x80281),x80284),x80285))) % 186.59/186.36 [8029]~P104(x80291)+~P1(f862(f862(f227(x80291),x80293),x80295))+~P1(f862(f862(f227(x80291),x80292),x80294))+P1(f862(f862(f227(x80291),f862(f862(f94(x80291),x80292),x80293)),f862(f862(f94(x80291),x80294),x80295))) % 186.59/186.36 [8030]~P85(x80301)+~P1(f862(f862(f227(x80301),x80303),x80305))+~P1(f862(f862(f227(x80301),x80302),x80304))+P1(f862(f862(f227(x80301),f862(f862(f73(x80301),x80302),x80303)),f862(f862(f73(x80301),x80304),x80305))) % 186.59/186.36 [8031]~P109(x80311)+~P1(f862(f862(f227(x80311),x80313),x80315))+~P1(f862(f862(f227(x80311),x80312),x80314))+P1(f862(f862(f227(x80311),f862(f862(f225(x80311),x80312),x80313)),f862(f862(f225(x80311),x80314),x80315))) % 186.59/186.36 [8032]~P109(x80321)+~P1(f862(f862(f227(x80321),x80323),x80325))+~P1(f862(f862(f227(x80321),x80322),x80324))+P1(f862(f862(f227(x80321),f862(f862(f226(x80321),x80322),x80323)),f862(f862(f226(x80321),x80324),x80325))) % 186.59/186.36 [8033]~P83(x80331)+~P1(f862(f862(f227(x80331),x80333),x80335))+~P1(f862(f862(f228(x80331),x80332),x80334))+P1(f862(f862(f228(x80331),f862(f862(f73(x80331),x80332),x80333)),f862(f862(f73(x80331),x80334),x80335))) % 186.59/186.36 [8034]~P83(x80341)+~P1(f862(f862(f227(x80341),x80342),x80344))+~P1(f862(f862(f228(x80341),x80343),x80345))+P1(f862(f862(f228(x80341),f862(f862(f73(x80341),x80342),x80343)),f862(f862(f73(x80341),x80344),x80345))) % 186.59/186.36 [8035]~P83(x80351)+~P1(f862(f862(f228(x80351),x80353),x80355))+~P1(f862(f862(f228(x80351),x80352),x80354))+P1(f862(f862(f228(x80351),f862(f862(f73(x80351),x80352),x80353)),f862(f862(f73(x80351),x80354),x80355))) % 186.59/186.36 [8036]~P119(x80361)+~P1(f862(f862(f278(x80361),x80363),x80365))+~P1(f862(f862(f278(x80361),x80362),x80364))+P1(f862(f862(f278(x80361),f862(f862(f74(x80361),x80362),x80363)),f862(f862(f74(x80361),x80364),x80365))) % 186.59/186.36 [8175]~P144(x81755)+E(x81751,x81752)+E(x81753,x81754)+~E(f862(f862(f73(x81755),f862(f862(f74(x81755),x81753),x81751)),f862(f862(f74(x81755),x81754),x81752)),f862(f862(f73(x81755),f862(f862(f74(x81755),x81753),x81752)),f862(f862(f74(x81755),x81754),x81751))) % 186.59/186.36 [8382]~P109(x83824)+~P1(f862(f130(x83821),x83823))+P1(f862(f862(f321(x83821),x83822),f862(f165(x83821),x83823)))+P1(f862(f130(x83821),f862(f862(f141(x83821,x83824,x83825),x83822),x83823))) % 186.59/186.36 [8527]~P59(x85271)+E(f862(f862(f3(x85271),f862(f862(f8(a924,x85271),x85272),f862(f295(a924,x85273),x85274))),f862(f862(f8(a924,x85271),x85272),f862(f295(a924,x85273),x85275))),f862(f862(f8(a924,x85271),x85272),f862(f295(a924,x85275),x85274)))+~P1(f862(f862(f227(a924),x85275),x85274))+~P1(f862(f862(f227(a924),x85273),x85275)) % 186.59/186.36 [8528]~P72(x85281)+E(f862(f862(f73(x85281),f862(f862(f8(a924,x85281),x85282),f862(f295(a924,x85283),x85284))),f862(f862(f8(a924,x85281),x85282),f862(f295(a924,x85284),x85285))),f862(f862(f8(a924,x85281),x85282),f862(f295(a924,x85283),x85285)))+~P1(f862(f862(f227(a924),x85284),x85285))+~P1(f862(f862(f227(a924),x85283),x85284)) % 186.59/186.36 [8859]~P65(x88592)+E(x88591,f2(x88592))+E(x88593,f2(x88592))+E(f862(f862(f282(x88592),f862(f862(f3(x88592),f862(f862(f74(x88592),x88594),x88591)),f862(f862(f74(x88592),x88595),x88593))),f862(f862(f74(x88592),x88593),x88591)),f862(f862(f3(x88592),f862(f862(f282(x88592),x88594),x88593)),f862(f862(f282(x88592),x88595),x88591))) % 186.59/186.36 [8860]~P65(x88602)+E(x88601,f2(x88602))+E(x88603,f2(x88602))+E(f862(f862(f282(x88602),f862(f862(f73(x88602),f862(f862(f74(x88602),x88604),x88601)),f862(f862(f74(x88602),x88605),x88603))),f862(f862(f74(x88602),x88603),x88601)),f862(f862(f73(x88602),f862(f862(f282(x88602),x88604),x88603)),f862(f862(f282(x88602),x88605),x88601))) % 186.59/186.36 [8869]~E(x88692,f862(x88693,x88691))+E(x88691,f539(x88692,x88693,x88694,x88695))+~P22(x88695,x88694,x88693,f234(f932(x88695,a921)))+~P1(f862(f862(f321(x88694),x88692),f862(f302(x88695,x88694,x88693),f234(f932(x88695,a921))))) % 186.59/186.36 [9089]~P112(x90891)+~P1(f862(f862(f228(x90891),f862(f69(x90891),x90892)),x90894))+P1(f862(f862(f228(x90891),f862(f862(f74(x90891),f862(f69(x90891),x90892)),f862(f69(x90891),x90893))),f862(f862(f74(x90891),x90894),x90895)))+~P1(f862(f862(f228(x90891),f862(f69(x90891),x90893)),x90895)) % 186.59/186.36 [9200]~P22(x92001,x92003,x92005,x92002)+~P1(f862(f54(x92003),x92004))+P1(f862(f862(f227(a924),f862(f28(x92001),x92002)),f862(f28(x92003),x92004)))+~P1(f862(f862(f227(f932(x92003,a921)),f862(f302(x92001,x92003,x92005),x92002)),x92004)) % 186.59/186.36 [9267]~P72(x92672)+~P22(x92671,x92671,x92674,x92675)+~P1(f862(f54(x92671),x92675))+E(f862(f862(f8(x92671,x92672),f862(f66(x92671,x92672,x92671,x92673),x92674)),x92675),f862(f862(f8(x92671,x92672),x92673),f862(f302(x92671,x92671,x92674),x92675))) % 186.59/186.36 [9268]~P71(x92682)+~P22(x92681,x92681,x92684,x92685)+~P1(f862(f54(x92681),x92685))+E(f862(f862(f11(x92681,x92682),f862(f66(x92681,x92682,x92681,x92683),x92684)),x92685),f862(f862(f11(x92681,x92682),x92683),f862(f302(x92681,x92681,x92684),x92685))) % 186.59/186.36 [9387]~P35(x93871,x93872)+~P1(f862(f862(f321(x93871),x93873),x93874))+~P1(f862(f862(f321(x93871),x93875),x93874))+~P1(f862(f862(f321(f931(x93871,x93871)),f862(f862(f244(x93871,x93871),x93875),f611(x93872,x93871,x93874))),x93872)) % 186.59/186.36 [9424]~P22(x94242,x94243,x94245,x94241)+E(x94241,f181(f932(x94242,a921)))+E(f862(f302(x94243,x94242,f541(x94244,x94243,x94242,x94241)),x94244),x94241)+~P1(f862(f862(f227(f932(x94243,a921)),f862(f302(x94242,x94243,x94245),x94241)),x94244)) % 186.59/186.36 [9919]~P3(x99195)+~P109(x99195)+P1(f862(f862(f321(x99191),f479(x99192,x99193,x99191,x99194,x99195)),x99193))+~P1(f862(f862(f228(x99195),x99194),f862(f862(f33(x99191,x99195),x99193),x99192))) % 186.59/186.36 [9924]~P3(x99241)+~P109(x99241)+P1(f862(f862(f228(x99241),x99242),f862(x99243,f479(x99243,x99244,x99245,x99242,x99241))))+~P1(f862(f862(f228(x99241),x99242),f862(f862(f33(x99245,x99241),x99244),x99243))) % 186.59/186.36 [10004]~P69(x100041)+~P1(f862(f59(x100041,x100041,f74(x100041),x100042,x100043),x100045))+P1(f862(f862(f321(x100041),x100042),x100043))+P1(f862(f59(x100041,x100041,f74(x100041),x100044,f862(f862(f301(x100041),x100042),x100043)),f862(f862(f74(x100041),x100044),x100045))) % 186.59/186.36 [10220]~P72(x102202)+~P1(f862(f54(x102201),x102205))+E(f862(f862(f8(x102201,x102202),f862(f862(f9(x102201,x102202,x102202),f862(f862(f20(x102201,x102202,f932(x102202,x102202)),f862(f862(f10(a921,f932(x102202,f932(x102202,x102202)),x102201),f89(x102202)),f862(a317,x102203))),x102204)),f2(x102202))),x102205),f2(x102202))+P1(f862(f862(f321(x102201),x102203),x102205)) % 186.59/186.36 [10221]~P71(x102212)+~P1(f862(f54(x102211),x102215))+E(f862(f862(f11(x102211,x102212),f862(f862(f9(x102211,x102212,x102212),f862(f862(f20(x102211,x102212,f932(x102212,x102212)),f862(f862(f10(a921,f932(x102212,f932(x102212,x102212)),x102211),f89(x102212)),f862(a317,x102213))),x102214)),f71(x102212))),x102215),f71(x102212))+P1(f862(f862(f321(x102211),x102213),x102215)) % 186.59/186.36 [10222]~P72(x102222)+~P1(f862(f54(x102221),x102225))+E(f862(f862(f8(x102221,x102222),f862(f862(f9(x102221,x102222,x102222),f862(f862(f20(x102221,x102222,f932(x102222,x102222)),f862(f862(f10(a921,f932(x102222,f932(x102222,x102222)),x102221),f89(x102222)),f862(a317,x102223))),x102224)),f2(x102222))),x102225),f862(x102224,x102223))+~P1(f862(f862(f321(x102221),x102223),x102225)) % 186.59/186.36 [10223]~P71(x102232)+~P1(f862(f54(x102231),x102235))+E(f862(f862(f11(x102231,x102232),f862(f862(f9(x102231,x102232,x102232),f862(f862(f20(x102231,x102232,f932(x102232,x102232)),f862(f862(f10(a921,f932(x102232,f932(x102232,x102232)),x102231),f89(x102232)),f862(a317,x102233))),x102234)),f71(x102232))),x102235),f862(x102234,x102233))+~P1(f862(f862(f321(x102231),x102233),x102235)) % 186.59/186.36 [10281]~P72(x102812)+~P1(f862(f54(x102811),x102815))+E(f862(f862(f8(x102811,x102812),f862(f862(f9(x102811,x102812,x102812),f862(f862(f20(x102811,x102812,f932(x102812,x102812)),f862(f862(f10(a921,f932(x102812,f932(x102812,x102812)),x102811),f89(x102812)),f862(f862(f9(x102811,x102811,a921),a317),x102813))),x102814)),f2(x102812))),x102815),f2(x102812))+P1(f862(f862(f321(x102811),x102813),x102815)) % 186.59/186.36 [10282]~P71(x102822)+~P1(f862(f54(x102821),x102825))+E(f862(f862(f11(x102821,x102822),f862(f862(f9(x102821,x102822,x102822),f862(f862(f20(x102821,x102822,f932(x102822,x102822)),f862(f862(f10(a921,f932(x102822,f932(x102822,x102822)),x102821),f89(x102822)),f862(f862(f9(x102821,x102821,a921),a317),x102823))),x102824)),f71(x102822))),x102825),f71(x102822))+P1(f862(f862(f321(x102821),x102823),x102825)) % 186.59/186.36 [10284]~P72(x102842)+~P1(f862(f54(x102841),x102845))+E(f862(f862(f8(x102841,x102842),f862(f862(f9(x102841,x102842,x102842),f862(f862(f20(x102841,x102842,f932(x102842,x102842)),f862(f862(f10(a921,f932(x102842,f932(x102842,x102842)),x102841),f89(x102842)),f862(f862(f9(x102841,x102841,a921),a317),x102843))),x102844)),f2(x102842))),x102845),f862(x102844,x102843))+~P1(f862(f862(f321(x102841),x102843),x102845)) % 186.59/186.36 [10285]~P71(x102852)+~P1(f862(f54(x102851),x102855))+E(f862(f862(f11(x102851,x102852),f862(f862(f9(x102851,x102852,x102852),f862(f862(f20(x102851,x102852,f932(x102852,x102852)),f862(f862(f10(a921,f932(x102852,f932(x102852,x102852)),x102851),f89(x102852)),f862(f862(f9(x102851,x102851,a921),a317),x102853))),x102854)),f71(x102852))),x102855),f862(x102854,x102853))+~P1(f862(f862(f321(x102851),x102853),x102855)) % 186.59/186.36 [8027]~P59(x80272)+~P1(f862(f54(x80271),x80274))+E(f862(f862(f8(x80271,x80272),x80273),f862(f862(f3(f932(x80271,a921)),x80274),f862(f862(f301(x80271),x80275),f181(f932(x80271,a921))))),f862(f862(f8(x80271,x80272),x80273),x80274))+P1(f862(f862(f321(x80271),x80275),x80274)) % 186.59/186.36 [8535]~P125(x85352)+~P1(f862(f54(x85351),x85354))+E(f862(f862(f8(x85351,x85352),x85353),f862(f862(f3(f932(x85351,a921)),x85354),f862(f862(f301(x85351),x85355),f181(f932(x85351,a921))))),f862(f862(f3(x85352),f862(f862(f8(x85351,x85352),x85353),x85354)),f862(x85353,x85355)))+~P1(f862(f862(f321(x85351),x85355),x85354)) % 186.59/186.36 [8536]~P59(x85362)+~P1(f862(f54(x85361),x85364))+E(f862(f862(f8(x85361,x85362),x85363),f862(f862(f3(f932(x85361,a921)),x85364),f862(f862(f301(x85361),x85365),f181(f932(x85361,a921))))),f862(f862(f3(x85362),f862(f862(f8(x85361,x85362),x85363),x85364)),f862(x85363,x85365)))+~P1(f862(f862(f321(x85361),x85365),x85364)) % 186.59/186.36 [8565]~P59(x85651)+~P1(f862(f54(x85652),x85654))+E(f862(f862(f3(x85651),f862(f862(f8(x85652,x85651),x85653),x85654)),f862(f862(f8(x85652,x85651),x85653),x85655)),f862(f862(f8(x85652,x85651),x85653),f862(f862(f3(f932(x85652,a921)),x85654),x85655)))+~P1(f862(f862(f227(f932(x85652,a921)),x85655),x85654)) % 186.59/186.36 [8584]P1(f862(f54(x85841),f862(x85842,x85843)))+~P1(f862(f54(x85844),x85845))+~P1(f862(f862(f321(x85844),x85843),x85845))+~P1(f862(f54(x85841),f862(f862(f33(x85844,f932(x85841,a921)),x85845),x85842))) % 186.59/186.36 [9045]~P6(x90451,x90455,x90454)+~E(f862(f276(x90451,x90451,x90454),f862(f862(f301(x90451),x90452),f181(f932(x90451,a921)))),f862(f276(x90451,x90451,x90454),f862(f862(f301(x90451),x90453),f181(f932(x90451,a921)))))+~P1(f862(f862(f321(x90451),x90453),x90455))+P1(f862(f862(f321(f931(x90451,x90451)),f862(f862(f244(x90451,x90451),x90452),x90453)),x90454)) % 186.59/186.36 [9344]~P1(f862(x93441,x93445))+P1(f862(x93441,f632(x93441,x93442,x93443,x93444)))+P1(f862(x93441,f622(x93441,x93442,x93443,x93444)))+~P1(f862(f862(f321(x93444),x93445),f862(f862(f103(f932(x93444,a921)),x93443),x93442))) % 186.59/186.36 [9530]~P1(f862(x95301,x95305))+P1(f862(x95301,f622(x95301,x95302,x95303,x95304)))+P1(f862(f862(f321(x95304),f632(x95301,x95302,x95303,x95304)),x95302))+~P1(f862(f862(f321(x95304),x95305),f862(f862(f103(f932(x95304,a921)),x95303),x95302))) % 186.59/186.36 [9531]~P1(f862(x95311,x95315))+P1(f862(x95311,f632(x95311,x95312,x95313,x95314)))+P1(f862(f862(f321(x95314),f622(x95311,x95312,x95313,x95314)),x95313))+~P1(f862(f862(f321(x95314),x95315),f862(f862(f103(f932(x95314,a921)),x95313),x95312))) % 186.59/186.36 [9535]P1(f862(x95351,x95352))+~P1(f862(x95351,f615(x95351,x95353,x95354,x95355)))+~P1(f862(x95351,f598(x95351,x95353,x95354,x95355)))+~P1(f862(f862(f321(x95355),x95352),f862(f862(f103(f932(x95355,a921)),x95354),x95353))) % 186.59/186.36 [9541]~P36(x95411,x95414)+~P1(f862(f862(f321(f931(x95411,x95411)),f862(f862(f244(x95411,x95411),x95412),x95415)),x95414))+P1(f862(f862(f321(f931(x95411,x95411)),f862(f862(f244(x95411,x95411),x95412),x95413)),x95414))+~P1(f862(f862(f321(f931(x95411,x95411)),f862(f862(f244(x95411,x95411),x95415),x95413)),x95414)) % 186.59/186.36 [9582]E(x95821,x95822)+~P1(f862(f862(f321(f931(x95823,x95823)),f862(f862(f244(x95823,x95823),x95821),x95822)),f299(x95823,x95825)))+P1(f862(f862(f321(x95823),x95821),x95824))+~P1(f862(f862(f227(f932(f931(x95823,x95823),a921)),x95825),f862(f862(f246(x95823,x95823),x95824),f862(f18(f932(x95823,a921),x95823),x95824)))) % 186.59/186.36 [9600]P1(f862(x96001,x96002))+~P1(f862(x96001,f598(x96001,x96004,x96005,x96003)))+P1(f862(f862(f321(x96003),f615(x96001,x96004,x96005,x96003)),x96004))+~P1(f862(f862(f321(x96003),x96002),f862(f862(f103(f932(x96003,a921)),x96005),x96004))) % 186.59/186.36 [9601]P1(f862(x96011,x96012))+~P1(f862(x96011,f615(x96011,x96014,x96015,x96013)))+P1(f862(f862(f321(x96013),f598(x96011,x96014,x96015,x96013)),x96015))+~P1(f862(f862(f321(x96013),x96012),f862(f862(f103(f932(x96013,a921)),x96015),x96014))) % 186.59/186.36 [9669]P1(f862(x96691,x96692))+P1(f862(f862(f321(x96693),f615(x96691,x96694,x96695,x96693)),x96694))+P1(f862(f862(f321(x96693),f598(x96691,x96694,x96695,x96693)),x96695))+~P1(f862(f862(f321(x96693),x96692),f862(f862(f103(f932(x96693,a921)),x96695),x96694))) % 186.59/186.36 [9671]~P1(f862(x96712,x96715))+P1(f862(f862(f321(x96711),f632(x96712,x96713,x96714,x96711)),x96713))+P1(f862(f862(f321(x96711),f622(x96712,x96713,x96714,x96711)),x96714))+~P1(f862(f862(f321(x96711),x96715),f862(f862(f103(f932(x96711,a921)),x96714),x96713))) % 186.59/186.36 [9825]~P6(x98251,x98255,x98254)+~P1(f862(f862(f321(x98251),x98253),x98255))+P1(f862(f862(f321(f931(x98251,x98251)),f862(f862(f244(x98251,x98251),x98252),x98253)),x98254))+~P1(f862(f862(f227(f932(x98251,a921)),f862(f276(x98251,x98251,x98254),f862(f862(f301(x98251),x98253),f181(f932(x98251,a921))))),f862(f276(x98251,x98251,x98254),f862(f862(f301(x98251),x98252),f181(f932(x98251,a921)))))) % 186.59/186.36 [9953]~P3(x99535)+~P109(x99535)+P1(f862(f862(f321(x99531),f480(x99532,x99533,x99534,x99531,x99535)),x99534))+~P1(f862(f862(f228(x99535),f862(f862(f32(x99531,x99535),x99534),x99533)),x99532)) % 186.59/186.36 [9986]~P85(x99865)+~P81(x99865)+P1(f862(f862(f321(x99861),f701(x99862,x99863,x99864,x99861,x99865)),f862(f165(x99861),x99864)))+P1(f862(f862(f227(x99865),f862(f158(x99865),f862(f862(f147(x99861,x99865),x99863),x99864))),f862(f158(x99865),f862(f862(f147(x99861,x99865),x99862),x99864)))) % 186.59/186.36 [10097]~P3(x100971)+~P109(x100971)+P1(f862(f862(f228(x100971),f862(x100972,f480(x100973,x100972,x100974,x100975,x100971))),x100973))+~P1(f862(f862(f228(x100971),f862(f862(f32(x100975,x100971),x100974),x100972)),x100973)) % 186.59/186.36 [10238]~P85(x102381)+~P81(x102381)+~P1(f862(f862(f227(x102381),f862(x102383,f701(x102385,x102383,x102384,x102382,x102381))),f862(x102385,f701(x102385,x102383,x102384,x102382,x102381))))+P1(f862(f862(f227(x102381),f862(f158(x102381),f862(f862(f147(x102382,x102381),x102383),x102384))),f862(f158(x102381),f862(f862(f147(x102382,x102381),x102385),x102384)))) % 186.59/186.36 [8882]~P72(x88821)+~P1(f862(f54(x88824),x88825))+~P1(f862(f862(f321(x88824),x88823),x88825))+E(f862(f862(f73(x88821),f862(x88822,x88823)),f862(f862(f8(x88824,x88821),x88822),f862(f862(f3(f932(x88824,a921)),x88825),f862(f862(f301(x88824),x88823),f181(f932(x88824,a921)))))),f862(f862(f8(x88824,x88821),x88822),x88825)) % 186.59/186.36 [8883]~P71(x88831)+~P1(f862(f54(x88834),x88835))+~P1(f862(f862(f321(x88834),x88833),x88835))+E(f862(f862(f74(x88831),f862(x88832,x88833)),f862(f862(f11(x88834,x88831),x88832),f862(f862(f3(f932(x88834,a921)),x88835),f862(f862(f301(x88834),x88833),f181(f932(x88834,a921)))))),f862(f862(f11(x88834,x88831),x88832),x88835)) % 186.59/186.36 [8944]~P16(x89441,x89444,x89445)+~P1(f862(f54(x89441),x89442))+E(f862(f862(f3(f932(x89441,a921)),x89442),f862(f862(f301(x89441),x89443),f181(f932(x89441,a921)))),f181(f932(x89441,a921)))+E(f862(f862(x89444,x89443),f862(x89445,f862(f862(f3(f932(x89441,a921)),x89442),f862(f862(f301(x89441),x89443),f181(f932(x89441,a921)))))),f862(x89445,f862(f862(f301(x89441),x89443),x89442))) % 186.59/186.36 [9323]~P71(x93231)+~P1(f862(f54(x93232),x93235))+~P1(f862(f54(x93232),x93234))+E(f862(f862(f74(x93231),f862(f862(f11(x93232,x93231),x93233),f862(f862(f103(f932(x93232,a921)),x93234),x93235))),f862(f862(f11(x93232,x93231),x93233),f862(f862(f94(f932(x93232,a921)),x93234),x93235))),f862(f862(f74(x93231),f862(f862(f11(x93232,x93231),x93233),x93234)),f862(f862(f11(x93232,x93231),x93233),x93235))) % 186.59/186.36 [9324]~P72(x93241)+~P1(f862(f54(x93242),x93245))+~P1(f862(f54(x93242),x93244))+E(f862(f862(f73(x93241),f862(f862(f8(x93242,x93241),x93243),f862(f862(f103(f932(x93242,a921)),x93244),x93245))),f862(f862(f8(x93242,x93241),x93243),f862(f862(f94(f932(x93242,a921)),x93244),x93245))),f862(f862(f73(x93241),f862(f862(f8(x93242,x93241),x93243),x93244)),f862(f862(f8(x93242,x93241),x93243),x93245))) % 186.59/186.36 [9463]~P59(x94631)+~P1(f862(f54(x94632),x94635))+~P1(f862(f54(x94632),x94634))+E(f862(f862(f3(x94631),f862(f862(f73(x94631),f862(f862(f8(x94632,x94631),x94633),x94634)),f862(f862(f8(x94632,x94631),x94633),x94635))),f862(f862(f8(x94632,x94631),x94633),f862(f862(f94(f932(x94632,a921)),x94634),x94635))),f862(f862(f8(x94632,x94631),x94633),f862(f862(f103(f932(x94632,a921)),x94634),x94635))) % 186.59/186.36 [9683]~P22(x96831,x96832,x96833,x96835)+~P22(x96831,x96832,x96833,x96834)+P22(x96831,x96832,x96833,f862(f862(f103(f932(x96831,a921)),x96834),x96835))+~E(f862(f862(f94(f932(x96832,a921)),f862(f302(x96831,x96832,x96833),f862(f862(f3(f932(x96831,a921)),x96834),x96835))),f862(f302(x96831,x96832,x96833),f862(f862(f3(f932(x96831,a921)),x96835),x96834))),f181(f932(x96832,a921))) % 186.59/186.36 [9800]E(x98001,f2(a1))+~P1(f862(f862(f228(a1),f2(a1)),x98003))+~P1(f862(f42(x98002,x98001),f862(f862(f244(a1,a1),x98004),x98005)))+P1(f862(f42(x98002,f862(f862(f74(a1),x98001),x98003)),f862(f862(f244(a1,a1),f862(f862(f29(a1),x98004),x98003)),f862(f862(f73(a1),f862(f862(f74(a1),x98001),f38(a1,x98004,x98003))),x98005)))) % 186.59/186.36 [9808]~P1(f862(f862(f228(a924),f2(a924)),x98083))+~P1(f862(f862(f228(a924),f2(a924)),x98082))+~P1(f862(f41(x98081,x98082),f862(f862(f244(a924,a924),x98084),x98085)))+P1(f862(f41(x98081,f862(f862(f74(a924),x98082),x98083)),f862(f862(f244(a924,a924),f862(f862(f29(a924),x98084),x98083)),f862(f862(f73(a924),f862(f862(f74(a924),x98082),f38(a924,x98084,x98083))),x98085)))) % 186.59/186.36 [9857]~P71(x98571)+~P1(f862(f54(x98572),x98575))+~P1(f862(f54(x98572),x98574))+E(f862(f862(f74(x98571),f862(f862(f862(f58(x98571,x98572,f74(x98571)),x98573),f71(x98571)),f862(f862(f103(f932(x98572,a921)),x98574),x98575))),f862(f862(f862(f58(x98571,x98572,f74(x98571)),x98573),f71(x98571)),f862(f862(f94(f932(x98572,a921)),x98574),x98575))),f862(f862(f74(x98571),f862(f862(f862(f58(x98571,x98572,f74(x98571)),x98573),f71(x98571)),x98574)),f862(f862(f862(f58(x98571,x98572,f74(x98571)),x98573),f71(x98571)),x98575))) % 186.59/186.36 [9859]~E(f862(f862(f168(x98591),x98595),x98592),f862(f862(f168(x98591),x98595),x98593))+P1(f862(f862(f321(f931(f925(x98591),f925(x98591))),f862(f862(f244(f925(x98591),f925(x98591)),x98592),x98593)),f140(x98591,x98594)))+~P1(f862(f862(f228(a924),x98595),f862(f862(f225(a924),f862(f182(f925(x98591)),x98592)),f862(f182(f925(x98591)),x98593))))+~P1(f862(f862(f321(f931(x98591,x98591)),f862(f862(f244(x98591,x98591),f862(f862(f157(x98591),x98592),x98595)),f862(f862(f157(x98591),x98593),x98595))),x98594)) % 186.59/186.36 [9975]~P85(x99755)+~P147(x99755)+P1(f862(f862(f321(x99751),f413(x99752,x99753,x99754,x99751,x99755)),x99754))+P1(f862(f862(f227(x99755),f862(f862(f8(x99751,x99755),x99753),x99754)),f862(f862(f74(x99755),f862(f93(x99755),f862(f28(x99751),x99754))),x99752))) % 186.59/186.36 [10155]~P85(x101551)+~P147(x101551)+~P1(f862(f862(f227(x101551),f862(x101553,f413(x101555,x101553,x101554,x101552,x101551))),x101555))+P1(f862(f862(f227(x101551),f862(f862(f8(x101552,x101551),x101553),x101554)),f862(f862(f74(x101551),f862(f93(x101551),f862(f28(x101552),x101554))),x101555))) % 186.59/186.36 [8912]E(f862(f862(f127(x89121),x89122),x89123),f862(f862(f127(x89121),x89124),x89125))+~E(f862(f862(f168(x89121),f862(f182(f925(x89121)),x89122)),x89124),x89122)+~E(f862(f862(f127(x89121),f862(f862(f131(x89121),f862(f182(f925(x89121)),x89122)),x89124)),x89125),x89123)+P1(f862(f862(f227(a924),f862(f182(f925(x89121)),x89124)),f862(f182(f925(x89121)),x89122))) % 186.59/186.36 [9044]E(f862(f862(f127(x90441),x90442),x90443),f862(f862(f127(x90441),x90444),x90445))+~E(f862(f862(f168(x90441),f862(f182(f925(x90441)),x90442)),x90444),x90442)+~E(x90443,f862(f862(f127(x90441),f862(f862(f131(x90441),f862(f182(f925(x90441)),x90442)),x90444)),x90445))+~P1(f862(f862(f227(a924),f862(f182(f925(x90441)),x90442)),f862(f182(f925(x90441)),x90444))) % 186.59/186.36 [10304]~P1(f862(x103045,x103044))+~P1(f862(f54(x103042),f862(f254(x103042),x103045)))+P1(f862(f54(x103041),f862(f254(x103041),f862(f862(f9(x103041,x103042,a921),x103043),x103044))))+~P1(f862(f54(x103041),f862(f254(x103041),f862(f862(f10(f932(x103042,a921),a921,x103041),f80(x103042)),f862(f862(f10(f932(x103042,a921),f932(x103042,a921),x103041),f862(f20(x103042,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103042),a318),x103045))),x103043))))) % 186.59/186.36 [10374]~P1(f862(f54(x103742),x103745))+~P1(f862(f862(f321(x103742),x103744),x103745))+P1(f862(f54(x103741),f862(f254(x103741),f862(f862(f9(x103741,x103742,a921),x103743),x103744))))+~P1(f862(f54(x103741),f862(f254(x103741),f862(f862(f10(f932(x103742,a921),a921,x103741),f80(x103742)),f862(f862(f10(f932(x103742,a921),f932(x103742,a921),x103741),f862(f20(x103742,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103742),a318),f862(f862(f9(x103742,f932(x103742,a921),a921),f321(x103742)),x103745)))),x103743))))) % 186.59/186.36 [8695]~P17(x86955,x86951,x86956,x86952)+E(f862(f66(x86951,x86951,x86951,f862(x86952,x86953)),f862(x86952,x86954)),f862(f66(x86951,x86951,x86951,f862(x86952,x86954)),f862(x86952,x86953)))+~P1(f862(f54(x86955),x86954))+~P1(f862(f54(x86955),x86953)) % 186.59/186.36 [8083]~P22(x80831,x80832,x80834,x80833)+~E(f862(x80834,x80836),x80835)+E(f862(f70(x80831,x80832,x80833,x80834),x80835),x80836)+~P1(f862(f862(f321(x80831),x80836),x80833)) % 186.59/186.36 [8084]~P22(x80841,x80842,x80844,x80843)+~E(f862(x80844,x80846),x80845)+E(f862(f86(x80841,x80842,x80843,x80844),x80845),x80846)+~P1(f862(f862(f321(x80841),x80846),x80843)) % 186.59/186.36 [8281]~P18(x82816,x82811,x82814,x82812)+E(f862(f66(x82811,x82811,x82811,f862(x82812,x82813)),f862(x82814,x82815)),f862(x82812,x82813))+~P1(f862(f54(x82816),x82813))+~P1(f862(f862(f321(x82816),x82815),x82813)) % 186.59/186.36 [9415]E(x94151,x94152)+~E(f862(f86(x94153,x94154,x94155,x94156),x94151),f862(f86(x94153,x94154,x94155,x94156),x94152))+~P1(f862(f862(f321(x94154),x94152),f862(f302(x94153,x94154,x94156),x94155)))+~P1(f862(f862(f321(x94154),x94151),f862(f302(x94153,x94154,x94156),x94155))) % 186.59/186.36 [9514]~P17(x95143,x95141,x95146,x95142)+E(f862(f66(x95141,x95141,x95141,f862(x95142,f862(f862(f3(f932(x95143,a921)),x95144),f862(f862(f301(x95143),x95145),f181(f932(x95143,a921)))))),f862(x95146,x95145)),f862(x95142,x95144))+~P1(f862(f54(x95143),x95144))+~P1(f862(f862(f321(x95143),x95145),x95144)) % 186.59/186.36 [7166]~P62(x71661)+~E(f38(x71661,x71663,x71664),f38(x71661,x71666,x71664))+~E(f38(x71661,x71662,x71664),f38(x71661,x71665,x71664))+E(f38(x71661,f862(f862(f3(x71661),x71662),x71663),x71664),f38(x71661,f862(f862(f3(x71661),x71665),x71666),x71664)) % 186.59/186.36 [7167]~P61(x71671)+~E(f38(x71671,x71673,x71674),f38(x71671,x71676,x71674))+~E(f38(x71671,x71672,x71674),f38(x71671,x71675,x71674))+E(f38(x71671,f862(f862(f74(x71671),x71672),x71673),x71674),f38(x71671,f862(f862(f74(x71671),x71675),x71676),x71674)) % 186.59/186.36 [7168]~P61(x71681)+~E(f38(x71681,x71683,x71684),f38(x71681,x71686,x71684))+~E(f38(x71681,x71682,x71684),f38(x71681,x71685,x71684))+E(f38(x71681,f862(f862(f73(x71681),x71682),x71683),x71684),f38(x71681,f862(f862(f73(x71681),x71685),x71686),x71684)) % 186.59/186.36 [7978]~P14(x79781,x79782,x79783)+~P1(f862(f54(x79781),x79786))+E(f862(f862(f57(x79781,x79782,x79783),x79784),f862(f862(f301(x79781),x79785),x79786)),f862(f862(f57(x79781,x79782,x79783),f862(f862(x79783,x79785),x79784)),x79786))+P1(f862(f862(f321(x79781),x79785),x79786)) % 186.59/186.36 [8042]~P3(x80421)+P1(f862(f862(f227(x80421),x80422),f862(x80423,x80424)))+~P1(f862(f862(f321(x80425),x80424),x80426))+~P1(f862(f862(f227(x80421),x80422),f862(f862(f32(x80425,x80421),x80426),x80423))) % 186.59/186.36 [8203]~P14(x82031,x82032,x82033)+~P1(f862(f54(x82031),x82036))+E(f862(f862(f57(x82031,x82032,x82033),x82034),f862(f862(f301(x82031),x82035),x82036)),f862(f862(x82033,x82035),f862(f862(f57(x82031,x82032,x82033),x82034),x82036)))+P1(f862(f862(f321(x82031),x82035),x82036)) % 186.59/186.36 [8300]~P109(x83003)+~P1(f862(x83002,x83005))+~P11(x83003,f862(f862(f147(x83001,x83003),x83004),x83006))+E(f862(f129(x83001,x83002),f862(f862(f141(x83001,x83003,x83004),x83005),x83006)),f862(f862(f141(x83001,x83003,x83004),x83005),f862(f129(x83001,x83002),x83006))) % 186.59/186.36 [8323]E(x83231,x83232)+E(x83233,f2(a1))+~P1(f862(f42(x83234,x83233),f862(f862(f244(a1,a1),x83235),x83232)))+~P1(f862(f42(x83234,x83233),f862(f862(f244(a1,a1),x83236),x83231))) % 186.59/186.36 [8324]E(x83241,x83242)+E(x83243,f2(a1))+~P1(f862(f42(x83244,x83243),f862(f862(f244(a1,a1),x83242),x83245)))+~P1(f862(f42(x83244,x83243),f862(f862(f244(a1,a1),x83241),x83246))) % 186.59/186.36 [8347]~P17(x83472,x83475,x83476,x83471)+~P1(f862(f54(x83472),x83474))+E(f862(x83471,f862(f862(f301(x83472),x83473),x83474)),f862(f66(x83475,x83475,x83475,f862(x83471,x83474)),f862(x83476,x83473)))+P1(f862(f862(f321(x83472),x83473),x83474)) % 186.59/186.36 [8568]~P18(x85685,x85681,x85686,x85682)+E(f862(f66(x85681,x85681,x85681,f862(x85682,x85683)),f862(x85682,x85684)),f862(x85682,x85683))+~P1(f862(f54(x85685),x85683))+~P1(f862(f862(f227(f932(x85685,a921)),x85684),x85683)) % 186.59/186.36 [9730]~P22(x97301,x97302,x97304,x97303)+~P1(f862(f862(f321(x97302),x97305),f862(f302(x97301,x97302,x97304),x97303)))+P1(f862(f862(f321(x97301),f862(f70(x97301,x97302,x97303,x97304),x97305)),x97306))+~P1(f862(f862(f227(f932(x97301,a921)),x97303),x97306)) % 186.59/186.36 [10109]~P72(x101092)+~E(f602(x101091,x101093,x101095,x101096,x101094,x101092),f603(x101091,x101093,x101095,x101096,x101094,x101092))+~P1(f862(f54(x101094),x101096))+E(f862(f862(f8(x101091,x101092),x101093),f862(f302(x101094,x101091,x101095),x101096)),f862(f862(f8(x101094,x101092),f862(f66(x101091,x101092,x101094,x101093),x101095)),x101096)) % 186.59/186.36 [10137]~P72(x101376)+E(f862(x101371,f602(x101372,x101373,x101371,x101374,x101375,x101376)),f862(x101371,f603(x101372,x101373,x101371,x101374,x101375,x101376)))+E(f862(f862(f8(x101372,x101376),x101373),f862(f302(x101375,x101372,x101371),x101374)),f862(f862(f8(x101375,x101376),f862(f66(x101372,x101376,x101375,x101373),x101371)),x101374))+~P1(f862(f54(x101375),x101374)) % 186.59/186.36 [10188]~P72(x101882)+~E(f862(x101883,f862(x101885,f603(x101881,x101883,x101885,x101886,x101884,x101882))),f2(x101882))+~P1(f862(f54(x101884),x101886))+E(f862(f862(f8(x101881,x101882),x101883),f862(f302(x101884,x101881,x101885),x101886)),f862(f862(f8(x101884,x101882),f862(f66(x101881,x101882,x101884,x101883),x101885)),x101886)) % 186.59/186.36 [10247]~P72(x102472)+~P1(f862(f54(x102474),x102476))+E(f862(f862(f8(x102471,x102472),x102473),f862(f302(x102474,x102471,x102475),x102476)),f862(f862(f8(x102474,x102472),f862(f66(x102471,x102472,x102474,x102473),x102475)),x102476))+P1(f862(f862(f321(x102474),f603(x102471,x102473,x102475,x102476,x102474,x102472)),x102476)) % 186.59/186.36 [10248]~P72(x102482)+~P1(f862(f54(x102484),x102486))+E(f862(f862(f8(x102481,x102482),x102483),f862(f302(x102484,x102481,x102485),x102486)),f862(f862(f8(x102484,x102482),f862(f66(x102481,x102482,x102484,x102483),x102485)),x102486))+P1(f862(f862(f321(x102484),f602(x102481,x102483,x102485,x102486,x102484,x102482)),x102486)) % 186.59/186.36 [10373]~P71(x103731)+~P1(f862(f54(x103732),x103736))+E(f862(f862(f862(f58(x103731,x103732,f74(x103731)),f862(f862(f20(x103732,f932(x103733,a921),x103731),f862(f862(f9(x103732,x103731,f932(f932(x103733,a921),x103731)),f862(f862(f10(f932(x103733,x103731),f932(x103731,f932(f932(x103733,a921),x103731)),x103732),f58(x103731,x103733,f74(x103731))),x103734)),f71(x103731))),x103735)),f71(x103731)),x103736),f862(f862(f862(f58(x103731,f931(x103732,x103733),f74(x103731)),f862(f249(x103732,x103733,x103731),x103734)),f71(x103731)),f862(f862(f246(x103732,x103733),x103736),x103735)))+P1(f862(f862(f321(x103732),f575(x103734,x103735,x103733,x103736,x103732,x103731)),x103736)) % 186.59/186.36 [10395]~P71(x103951)+~P1(f862(f54(x103952),x103956))+E(f862(f862(f862(f58(x103951,x103952,f74(x103951)),f862(f862(f20(x103952,f932(x103953,a921),x103951),f862(f862(f9(x103952,x103951,f932(f932(x103953,a921),x103951)),f862(f862(f10(f932(x103953,x103951),f932(x103951,f932(f932(x103953,a921),x103951)),x103952),f58(x103951,x103953,f74(x103951))),x103954)),f71(x103951))),x103955)),f71(x103951)),x103956),f862(f862(f862(f58(x103951,f931(x103952,x103953),f74(x103951)),f862(f249(x103952,x103953,x103951),x103954)),f71(x103951)),f862(f862(f246(x103952,x103953),x103956),x103955)))+~P1(f862(f54(x103953),f862(x103955,f575(x103954,x103955,x103953,x103956,x103952,x103951)))) % 186.59/186.36 [8479]~P18(x84792,x84795,x84796,x84791)+~P1(f862(f54(x84792),x84794))+~P1(f862(f54(x84792),x84793))+E(f862(x84791,f862(f862(f103(f932(x84792,a921)),x84793),x84794)),f862(f66(x84795,x84795,x84795,f862(x84791,x84793)),f862(x84791,x84794))) % 186.59/186.36 [8696]~P3(x86961)+P1(f862(f862(f227(x86961),f862(x86962,x86963)),x86964))+~P1(f862(f862(f321(x86965),x86963),x86966))+~P1(f862(f862(f227(x86961),f862(f862(f33(x86965,x86961),x86966),x86962)),x86964)) % 186.59/186.36 [9130]~P22(x91302,x91301,x91303,x91306)+E(f862(f862(f94(f932(x91301,a921)),f862(f302(x91302,x91301,x91303),x91304)),f862(f302(x91302,x91301,x91303),x91305)),f862(f302(x91302,x91301,x91303),f862(f862(f94(f932(x91302,a921)),x91304),x91305)))+~P1(f862(f862(f227(f932(x91302,a921)),x91305),x91306))+~P1(f862(f862(f227(f932(x91302,a921)),x91304),x91306)) % 186.59/186.36 [9131]~P22(x91312,x91311,x91313,x91316)+E(f862(f862(f3(f932(x91311,a921)),f862(f302(x91312,x91311,x91313),x91314)),f862(f302(x91312,x91311,x91313),x91315)),f862(f302(x91312,x91311,x91313),f862(f862(f3(f932(x91312,a921)),x91314),x91315)))+~P1(f862(f862(f227(f932(x91312,a921)),x91315),x91316))+~P1(f862(f862(f227(f932(x91312,a921)),x91314),x91316)) % 186.59/186.36 [9389]E(x93891,x93892)+~P52(x93893,x93894,x93895)+~P1(f862(f862(f321(f931(x93893,x93894)),f862(f862(f244(x93893,x93894),x93896),x93892)),x93895))+~P1(f862(f862(f321(f931(x93893,x93894)),f862(f862(f244(x93893,x93894),x93896),x93891)),x93895)) % 186.59/186.36 [10183]~P69(x101831)+~E(f862(x101833,f384(x101834,x101836,x101833,x101835,x101832,x101831)),f862(x101836,f384(x101834,x101836,x101833,x101835,x101832,x101831)))+~P1(f862(f54(x101832),x101835))+E(f862(f862(f862(f58(x101831,x101832,f74(x101831)),x101833),x101834),x101835),f862(f862(f862(f58(x101831,x101832,f74(x101831)),x101836),x101834),x101835)) % 186.59/186.36 [10244]~P69(x102441)+~P1(f862(f54(x102442),x102445))+E(f862(f862(f862(f58(x102441,x102442,f74(x102441)),x102443),x102444),x102445),f862(f862(f862(f58(x102441,x102442,f74(x102441)),x102446),x102444),x102445))+P1(f862(f862(f321(x102442),f384(x102444,x102443,x102446,x102445,x102442,x102441)),x102445)) % 186.59/186.36 [8926]~P69(x89261)+~P1(f862(f54(x89262),x89266))+P1(f862(f862(f321(x89262),x89265),x89266))+E(f862(f862(f862(f58(x89261,x89262,f74(x89261)),x89263),x89264),f862(f862(f301(x89262),x89265),x89266)),f862(f862(f74(x89261),f862(x89263,x89265)),f862(f862(f862(f58(x89261,x89262,f74(x89261)),x89263),x89264),x89266))) % 186.59/186.36 [8979]~P6(x89791,x89796,x89793)+~P9(x89791,f932(x89792,a921),x89793,x89795)+~P1(f862(f862(f321(x89791),x89794),x89796))+E(f862(f862(f33(x89791,f932(x89792,a921)),f862(f276(x89791,x89791,x89793),f862(f862(f301(x89791),x89794),f181(f932(x89791,a921))))),x89795),f862(x89795,x89794)) % 186.59/186.36 [9107]~P14(x91073,x91074,x91071)+~P1(f862(f54(x91073),x91076))+~P1(f862(f862(f321(x91073),x91072),x91076))+E(f862(f862(x91071,x91072),f862(f862(f57(x91073,x91074,x91071),x91075),f862(f862(f3(f932(x91073,a921)),x91076),f862(f862(f301(x91073),x91072),f181(f932(x91073,a921)))))),f862(f862(f57(x91073,x91074,x91071),x91075),x91076)) % 186.59/186.36 [9399]~P17(x93993,x93991,x93996,x93992)+~P1(f862(f54(x93993),x93995))+~P1(f862(f54(x93993),x93994))+E(f862(f66(x93991,x93991,x93991,f862(x93992,f862(f862(f103(f932(x93993,a921)),x93994),x93995))),f862(x93992,f862(f862(f94(f932(x93993,a921)),x93994),x93995))),f862(f66(x93991,x93991,x93991,f862(x93992,x93994)),f862(x93992,x93995))) % 186.59/186.36 [9753]~E(x97533,f862(f862(f152(x97531,x97532),x97535),x97536))+P1(f862(f862(f321(f931(f925(x97531),f925(x97531))),f862(f862(f244(f925(x97531),f925(x97531)),x97532),x97533)),f150(x97531,x97534)))+~P1(f862(f862(f228(a924),x97535),f862(f182(f925(x97531)),x97532)))+~P1(f862(f862(f321(f931(x97531,x97531)),f862(f862(f244(x97531,x97531),f862(f862(f157(x97531),x97532),x97535)),x97536)),x97534)) % 186.59/186.36 [10261]~P72(x102612)+~P1(f862(f54(x102611),x102616))+P1(f862(f862(f321(x102611),f573(x102614,x102615,x102613,x102616,x102611,x102612)),x102616))+E(f862(f862(f8(x102611,x102612),f862(f862(f20(x102611,f932(x102613,a921),x102612),f862(f862(f10(f932(x102613,x102612),f932(f932(x102613,a921),x102612),x102611),f8(x102613,x102612)),x102614)),x102615)),x102616),f862(f862(f8(f931(x102611,x102613),x102612),f862(f249(x102611,x102613,x102612),x102614)),f862(f862(f246(x102611,x102613),x102616),x102615))) % 186.59/186.36 [10262]~P71(x102622)+~P1(f862(f54(x102621),x102626))+P1(f862(f862(f321(x102621),f574(x102624,x102625,x102623,x102626,x102621,x102622)),x102626))+E(f862(f862(f11(x102621,x102622),f862(f862(f20(x102621,f932(x102623,a921),x102622),f862(f862(f10(f932(x102623,x102622),f932(f932(x102623,a921),x102622),x102621),f11(x102623,x102622)),x102624)),x102625)),x102626),f862(f862(f11(f931(x102621,x102623),x102622),f862(f249(x102621,x102623,x102622),x102624)),f862(f862(f246(x102621,x102623),x102626),x102625))) % 186.59/186.36 [10302]~P72(x103022)+~P1(f862(f54(x103021),x103026))+~P1(f862(f54(x103023),f862(x103025,f573(x103024,x103025,x103023,x103026,x103021,x103022))))+E(f862(f862(f8(x103021,x103022),f862(f862(f20(x103021,f932(x103023,a921),x103022),f862(f862(f10(f932(x103023,x103022),f932(f932(x103023,a921),x103022),x103021),f8(x103023,x103022)),x103024)),x103025)),x103026),f862(f862(f8(f931(x103021,x103023),x103022),f862(f249(x103021,x103023,x103022),x103024)),f862(f862(f246(x103021,x103023),x103026),x103025))) % 186.59/186.36 [10303]~P71(x103032)+~P1(f862(f54(x103031),x103036))+~P1(f862(f54(x103033),f862(x103035,f574(x103034,x103035,x103033,x103036,x103031,x103032))))+E(f862(f862(f11(x103031,x103032),f862(f862(f20(x103031,f932(x103033,a921),x103032),f862(f862(f10(f932(x103033,x103032),f932(f932(x103033,a921),x103032),x103031),f11(x103033,x103032)),x103034)),x103035)),x103036),f862(f862(f11(f931(x103031,x103033),x103032),f862(f249(x103031,x103033,x103032),x103034)),f862(f862(f246(x103031,x103033),x103036),x103035))) % 186.59/186.36 [10283]~P71(x102832)+~P1(f862(f54(x102831),x102836))+P1(f862(f862(f321(x102831),x102833),x102836))+E(f862(f862(f11(x102831,x102832),f862(f862(f9(x102831,x102832,x102832),f862(f862(f20(x102831,x102832,f932(x102832,x102832)),f862(f862(f10(a921,f932(x102832,f932(x102832,x102832)),x102831),f89(x102832)),f862(f862(f9(x102831,x102831,a921),a317),x102833))),x102834)),x102835)),x102836),f862(f862(f236(x102832),x102835),f862(f28(x102831),x102836))) % 186.59/186.36 [10286]~P71(x102862)+~P1(f862(f54(x102861),x102866))+~P1(f862(f862(f321(x102861),x102863),x102866))+E(f862(f862(f11(x102861,x102862),f862(f862(f9(x102861,x102862,x102862),f862(f862(f20(x102861,x102862,f932(x102862,x102862)),f862(f862(f10(a921,f932(x102862,f932(x102862,x102862)),x102861),f89(x102862)),f862(f862(f9(x102861,x102861,a921),a317),x102863))),x102864)),x102865)),x102866),f862(f862(f74(x102862),f862(x102864,x102863)),f862(f862(f236(x102862),x102865),f862(f862(f3(a924),f862(f28(x102861),x102866)),f71(a924))))) % 186.59/186.36 [10364]~P1(f862(f54(x103641),x103645))+~P1(f862(f54(x103642),x103643))+P1(f862(f862(f321(x103642),f512(x103646,x103644,x103643,x103642,x103645,x103641)),x103643))+E(f862(f862(f8(x103641,a924),f862(f862(f10(f932(x103642,a921),a924,x103641),f28(x103642)),f862(f862(f10(f932(x103642,a921),f932(x103642,a921),x103641),f254(x103642)),f862(f862(f10(f932(x103642,a921),f932(x103642,a921),x103641),f862(f20(x103642,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103642),a318),f862(f862(f9(x103642,f932(x103642,a921),a921),f321(x103642)),x103643)))),x103644)))),x103645),f862(f862(f74(a924),x103646),f862(f28(x103642),x103643))) % 186.59/186.36 [10365]~P1(f862(f54(x103651),x103655))+~P1(f862(f54(x103652),x103653))+P1(f862(f862(f321(x103652),f519(x103656,x103654,x103653,x103652,x103655,x103651)),x103653))+E(f862(f862(f8(x103651,a924),f862(f862(f10(f932(x103652,a921),a924,x103651),f28(x103652)),f862(f862(f10(f932(x103652,a921),f932(x103652,a921),x103651),f254(x103652)),f862(f862(f10(f932(x103652,a921),f932(x103652,a921),x103651),f862(f20(x103652,a921,a921),f862(f862(f10(a921,f932(a921,a921),x103652),a318),f862(f862(f9(x103652,f932(x103652,a921),a921),f321(x103652)),x103653)))),x103654)))),x103655),f862(f862(f8(x103652,a924),x103656),x103653)) % 186.59/186.36 [10408]~P1(f862(f54(x104082),x104083))+~P1(f862(f54(x104081),x104085))+~E(f862(f28(x104081),f862(f254(x104081),f862(f862(f20(x104081,a921,a921),f862(f862(f10(a921,f932(a921,a921),x104081),a318),f862(f862(f9(x104081,f932(x104081,a921),a921),f321(x104081)),x104085))),f862(f862(f9(x104081,x104082,a921),x104084),f512(x104086,x104084,x104083,x104082,x104085,x104081))))),x104086)+E(f862(f862(f8(x104081,a924),f862(f862(f10(f932(x104082,a921),a924,x104081),f28(x104082)),f862(f862(f10(f932(x104082,a921),f932(x104082,a921),x104081),f254(x104082)),f862(f862(f10(f932(x104082,a921),f932(x104082,a921),x104081),f862(f20(x104082,a921,a921),f862(f862(f10(a921,f932(a921,a921),x104082),a318),f862(f862(f9(x104082,f932(x104082,a921),a921),f321(x104082)),x104083)))),x104084)))),x104085),f862(f862(f74(a924),x104086),f862(f28(x104082),x104083))) % 186.59/186.36 [10410]~P1(f862(f54(x104102),x104103))+~P1(f862(f54(x104101),x104105))+~E(f862(f28(x104101),f862(f254(x104101),f862(f862(f20(x104101,a921,a921),f862(f862(f10(a921,f932(a921,a921),x104101),a318),f862(f862(f9(x104101,f932(x104101,a921),a921),f321(x104101)),x104105))),f862(f862(f9(x104101,x104102,a921),x104104),f519(x104106,x104104,x104103,x104102,x104105,x104101))))),f862(x104106,f519(x104106,x104104,x104103,x104102,x104105,x104101)))+E(f862(f862(f8(x104101,a924),f862(f862(f10(f932(x104102,a921),a924,x104101),f28(x104102)),f862(f862(f10(f932(x104102,a921),f932(x104102,a921),x104101),f254(x104102)),f862(f862(f10(f932(x104102,a921),f932(x104102,a921),x104101),f862(f20(x104102,a921,a921),f862(f862(f10(a921,f932(a921,a921),x104102),a318),f862(f862(f9(x104102,f932(x104102,a921),a921),f321(x104102)),x104103)))),x104104)))),x104105),f862(f862(f8(x104102,a924),x104106),x104103)) % 186.59/186.36 [10032]E(x100321,x100322)+~P14(x100323,x100324,x100325)+~P1(f862(f59(x100323,x100324,x100325,x100326,x100327),x100322))+~P1(f862(f59(x100323,x100324,x100325,x100326,x100327),x100321)) % 186.59/186.36 [9829]P1(f862(x98291,x98292))+~P1(f862(f862(f321(x98297),x98292),f862(x98296,x98294)))+~P1(f862(x98291,f886(x98291,x98296,x98295,x98293,x98297)))+~P1(f862(f862(f321(x98293),x98294),x98295)) % 186.59/186.36 [10275]~P14(x102757,x102756,x102751)+E(f862(f862(x102751,x102752),f802(x102752,x102753,x102754,x102755,x102751,x102756,x102757)),x102753)+~P1(f862(f59(x102757,x102756,x102751,x102755,x102754),x102753))+~P1(f862(f862(f321(x102757),x102752),x102754)) % 186.59/186.36 [10290]~P54(x102903,x102904,x102905,x102906,x102907)+P1(f862(x102901,x102902))+~P1(f862(f862(f321(x102904),x102902),x102907))+~P1(f862(x102901,f862(x102905,f910(x102901,x102902,x102907,x102906,x102905,x102904)))) % 186.59/186.36 [10342]~P14(x103421,x103422,x103423)+~P1(f862(f59(x103421,x103422,x103423,x103424,x103425),x103427))+P1(f862(f59(x103421,x103422,x103423,x103424,f862(f862(f3(f932(x103421,a921)),x103425),f862(f862(f301(x103421),x103426),f181(f932(x103421,a921))))),f802(x103426,x103427,x103425,x103424,x103423,x103422,x103421)))+~P1(f862(f862(f321(x103421),x103426),x103425)) % 186.59/186.36 [9470]P23(x94701,x94702,x94703,x94704,x94705)+~P23(x94701,x94702,x94703,x94706,x94707)+~E(f862(f302(x94701,x94702,x94703),x94704),x94705)+~P1(f862(f862(f227(f932(x94701,a921)),x94704),x94706)) % 186.59/186.36 [9721]~P23(x97211,x97212,x97213,x97215,x97217)+~P23(x97211,x97212,x97213,x97214,x97216)+P23(x97211,x97212,x97213,f862(f862(f103(f932(x97211,a921)),x97214),x97215),f862(f862(f103(f932(x97212,a921)),x97216),x97217))+~E(f862(f862(f94(f932(x97212,a921)),x97216),x97217),f181(f932(x97212,a921))) % 186.59/186.36 [9726]~P69(x97261)+~P22(x97265,x97262,x97266,x97267)+~P1(f862(f54(x97265),x97267))+E(f862(f862(f862(f58(x97261,x97262,f74(x97261)),x97263),x97264),f862(f302(x97265,x97262,x97266),x97267)),f862(f862(f862(f58(x97261,x97265,f74(x97261)),f862(f66(x97262,x97261,x97265,x97263),x97266)),x97264),x97267)) % 186.59/186.36 [9852]~E(f862(f862(f301(x98521),x98525),x98526),f862(f862(f301(x98521),x98522),x98523))+~P1(f862(f59(x98521,x98521,x98524,x98522,x98523),x98527))+P1(f862(f862(f321(x98521),x98522),x98523))+P1(f862(f55(x98521,x98524,f862(f862(f301(x98521),x98525),x98526)),x98527)) % 186.59/186.36 [9937]P1(f862(x99371,x99372))+~P1(f862(f862(f321(x99373),x99372),f862(x99374,x99377)))+~P1(f862(f862(f321(x99376),x99377),x99375))+P1(f862(f862(f321(x99373),f886(x99371,x99374,x99375,x99376,x99373)),f862(f862(f33(x99376,f932(x99373,a921)),x99375),x99374))) % 186.59/186.36 [9954]~P22(x99542,x99541,x99545,x99544)+~P22(x99541,x99543,x99546,f862(f302(x99542,x99541,x99545),x99544))+E(f862(f862(f66(x99541,x99542,x99543,f70(x99542,x99541,x99544,x99545)),f70(x99541,x99543,f862(f302(x99542,x99541,x99545),x99544),x99546)),x99547),f862(f70(x99542,x99543,x99544,f862(f66(x99541,x99543,x99542,x99546),x99545)),x99547))+~P1(f862(f862(f321(x99543),x99547),f862(f302(x99541,x99543,x99546),f862(f302(x99542,x99541,x99545),x99544)))) % 186.59/186.36 [9955]~P22(x99552,x99551,x99555,x99554)+~P22(x99551,x99553,x99556,f862(f302(x99552,x99551,x99555),x99554))+E(f862(f862(f66(x99551,x99552,x99553,f86(x99552,x99551,x99554,x99555)),f86(x99551,x99553,f862(f302(x99552,x99551,x99555),x99554),x99556)),x99557),f862(f86(x99552,x99553,x99554,f862(f66(x99551,x99553,x99552,x99556),x99555)),x99557))+~P1(f862(f862(f321(x99553),x99557),f862(f302(x99551,x99553,x99556),f862(f302(x99552,x99551,x99555),x99554)))) % 186.59/186.36 [10276]~P14(x102767,x102766,x102761)+E(f862(f862(x102761,x102762),f880(x102763,x102764,x102762,x102765,x102761,x102766,x102767)),x102763)+P1(f862(f862(f321(x102767),x102762),x102764))+~P1(f862(f59(x102767,x102766,x102761,x102765,f862(f862(f301(x102767),x102762),x102764)),x102763)) % 186.59/186.36 [10341]~P14(x103411,x103414,x103415)+P1(f862(f59(x103411,x103414,x103415,x103416,x103413),f880(x103417,x103413,x103412,x103416,x103415,x103414,x103411)))+P1(f862(f862(f321(x103411),x103412),x103413))+~P1(f862(f59(x103411,x103414,x103415,x103416,f862(f862(f301(x103411),x103412),x103413)),x103417)) % 186.59/186.36 [10014]E(x100141,f2(a1))+~P1(f862(f42(x100143,x100141),f862(f862(f244(a1,a1),x100145),x100147)))+~P1(f862(f42(x100142,x100141),f862(f862(f244(a1,a1),x100144),x100146)))+P1(f862(f42(f862(f862(f73(a1),x100142),x100143),x100141),f862(f862(f244(a1,a1),f862(f862(f73(a1),f862(f862(f73(a1),x100144),x100145)),f862(f862(f29(a1),f862(f862(f73(a1),x100146),x100147)),x100141))),f38(a1,f862(f862(f73(a1),x100146),x100147),x100141)))) % 186.59/186.36 [10016]~P1(f862(f862(f228(a924),f2(a924)),x100163))+~P1(f862(f41(x100162,x100163),f862(f862(f244(a924,a924),x100165),x100167)))+~P1(f862(f41(x100161,x100163),f862(f862(f244(a924,a924),x100164),x100166)))+P1(f862(f41(f862(f862(f73(a924),x100161),x100162),x100163),f862(f862(f244(a924,a924),f862(f862(f73(a924),f862(f862(f73(a924),x100164),x100165)),f862(f862(f29(a924),f862(f862(f73(a924),x100166),x100167)),x100163))),f38(a924,f862(f862(f73(a924),x100166),x100167),x100163)))) % 186.59/186.36 [10407]~P72(x104072)+~P1(f862(f54(x104073),x104075))+~P1(f862(f54(x104071),x104077))+E(f862(f862(f8(x104071,x104072),f862(f862(f20(x104071,f932(x104073,a921),x104072),f862(f862(f10(f932(x104073,x104072),f932(f932(x104073,a921),x104072),x104071),f8(x104073,x104072)),x104074)),f862(f862(f10(f932(x104073,a921),f932(x104073,a921),x104071),f254(x104073)),f862(f862(f10(f932(x104073,a921),f932(x104073,a921),x104071),f862(f20(x104073,a921,a921),f862(f862(f10(a921,f932(a921,a921),x104073),a318),f862(f862(f9(x104073,f932(x104073,a921),a921),f321(x104073)),x104075)))),x104076)))),x104077),f862(f862(f8(x104073,x104072),f862(f862(f20(x104073,f932(x104071,a921),x104072),f862(f862(f10(f932(x104071,x104072),f932(f932(x104071,a921),x104072),x104073),f8(x104071,x104072)),f862(f9(x104071,x104073,x104072),x104074))),f862(f862(f10(f932(x104071,a921),f932(x104071,a921),x104073),f254(x104071)),f862(f862(f10(f932(x104071,a921),f932(x104071,a921),x104073),f862(f20(x104071,a921,a921),f862(f862(f10(a921,f932(a921,a921),x104071),a318),f862(f862(f9(x104071,f932(x104071,a921),a921),f321(x104071)),x104077)))),f862(f9(x104071,x104073,a921),x104076))))),x104075)) % 186.59/186.36 [10362]~P19(x103628,x103627,x103626,x103625,x103621)+~E(f862(x103622,f859(x103624,x103622,x103623,x103621,x103625,x103626,x103627)),f862(x103624,f859(x103624,x103622,x103623,x103621,x103625,x103626,x103627)))+E(f862(f862(x103621,x103622),x103623),f862(f862(x103621,x103624),x103623))+~P1(f862(f54(x103627),x103623)) % 186.59/186.36 [9888]~P20(x98887,x98886,x98881,x98888,x98882,x98884)+E(f862(f862(x98881,f862(x98882,x98883)),f862(x98884,x98885)),f862(x98884,x98885))+~P1(f862(f54(x98886),x98885))+~P1(f862(f862(f321(x98886),x98883),x98885)) % 186.59/186.36 [9892]~P10(x98926,x98921,x98922,x98928,x98923,x98924)+~P6(x98926,x98927,x98928)+P9(x98921,x98922,x98923,f862(x98924,x98925))+~P1(f862(f862(f321(x98926),x98925),x98927)) % 186.59/186.36 [10380]~P19(x103808,x103805,x103807,x103806,x103801)+E(f862(f862(x103801,x103802),x103803),f862(f862(x103801,x103804),x103803))+~P1(f862(f54(x103805),x103803))+P1(f862(f862(f321(x103805),f859(x103802,x103804,x103803,x103801,x103806,x103807,x103805)),x103803)) % 186.59/186.36 [10457]~P1(f862(f862(x104571,x104576),x104575))+P1(f862(f862(x104571,f849(x104571,x104574,x104575,x104576,x104573,x104572,x104577,x104578)),f855(x104571,x104574,x104575,x104576,x104573,x104572,x104577,x104578)))+P1(f862(f862(x104571,x104572),x104573))+~P1(f862(f862(f321(f931(f931(x104578,x104577),f931(x104578,x104577))),f862(f862(f244(f931(x104578,x104577),f931(x104578,x104577)),f862(f862(f244(x104578,x104577),x104572),x104573)),f862(f862(f244(x104578,x104577),x104576),x104575))),f299(f931(x104578,x104577),x104574))) % 186.59/186.36 [10458]~P1(f862(f862(x104581,x104586),x104585))+P1(f862(f862(x104581,f843(x104581,x104584,x104583,x104582,x104585,x104586,x104587,x104588)),f850(x104581,x104584,x104583,x104582,x104585,x104586,x104587,x104588)))+P1(f862(f862(x104581,x104582),x104583))+~P1(f862(f862(f321(f931(f931(x104588,x104587),f931(x104588,x104587))),f862(f862(f244(f931(x104588,x104587),f931(x104588,x104587)),f862(f862(f244(x104588,x104587),x104586),x104585)),f862(f862(f244(x104588,x104587),x104582),x104583))),f299(f931(x104588,x104587),x104584))) % 186.59/186.36 [10468]~P1(f862(f862(x104681,f851(x104681,x104686,x104685,x104684,x104683,x104682,x104687,x104688)),f854(x104681,x104686,x104685,x104684,x104683,x104682,x104687,x104688)))+P1(f862(f862(x104681,x104682),x104683))+~P1(f862(f862(x104681,x104684),x104685))+~P1(f862(f862(f321(f931(f931(x104688,x104687),f931(x104688,x104687))),f862(f862(f244(f931(x104688,x104687),f931(x104688,x104687)),f862(f862(f244(x104688,x104687),x104682),x104683)),f862(f862(f244(x104688,x104687),x104684),x104685))),f299(f931(x104688,x104687),x104686))) % 186.59/186.36 [10469]~P1(f862(f862(x104691,f852(x104691,x104696,x104693,x104692,x104695,x104694,x104697,x104698)),f853(x104691,x104696,x104693,x104692,x104695,x104694,x104697,x104698)))+P1(f862(f862(x104691,x104692),x104693))+~P1(f862(f862(x104691,x104694),x104695))+~P1(f862(f862(f321(f931(f931(x104698,x104697),f931(x104698,x104697))),f862(f862(f244(f931(x104698,x104697),f931(x104698,x104697)),f862(f862(f244(x104698,x104697),x104694),x104695)),f862(f862(f244(x104698,x104697),x104692),x104693))),f299(f931(x104698,x104697),x104696))) % 186.59/186.36 [10482]~P1(f862(f862(x104821,x104826),x104827))+P1(f862(f862(x104821,x104822),x104823))+P1(f862(f862(f321(f931(f931(x104824,x104825),f931(x104824,x104825))),f862(f862(f244(f931(x104824,x104825),f931(x104824,x104825)),f862(f862(f244(x104824,x104825),x104826),x104827)),f862(f862(f244(x104824,x104825),f843(x104821,x104828,x104823,x104822,x104827,x104826,x104825,x104824)),f850(x104821,x104828,x104823,x104822,x104827,x104826,x104825,x104824)))),f299(f931(x104824,x104825),x104828)))+~P1(f862(f862(f321(f931(f931(x104824,x104825),f931(x104824,x104825))),f862(f862(f244(f931(x104824,x104825),f931(x104824,x104825)),f862(f862(f244(x104824,x104825),x104826),x104827)),f862(f862(f244(x104824,x104825),x104822),x104823))),f299(f931(x104824,x104825),x104828))) % 186.59/186.36 [10484]~P1(f862(f862(x104841,x104848),x104847))+P1(f862(f862(x104841,x104842),x104843))+P1(f862(f862(f321(f931(f931(x104844,x104845),f931(x104844,x104845))),f862(f862(f244(f931(x104844,x104845),f931(x104844,x104845)),f862(f862(f244(x104844,x104845),f849(x104841,x104846,x104847,x104848,x104843,x104842,x104845,x104844)),f855(x104841,x104846,x104847,x104848,x104843,x104842,x104845,x104844))),f862(f862(f244(x104844,x104845),x104848),x104847))),f299(f931(x104844,x104845),x104846)))+~P1(f862(f862(f321(f931(f931(x104844,x104845),f931(x104844,x104845))),f862(f862(f244(f931(x104844,x104845),f931(x104844,x104845)),f862(f862(f244(x104844,x104845),x104842),x104843)),f862(f862(f244(x104844,x104845),x104848),x104847))),f299(f931(x104844,x104845),x104846))) % 186.59/186.36 [9497]~P17(x94977,x94971,x94978,x94973)+~P1(f862(f54(x94977),x94975))+~P1(f862(f54(x94977),x94974))+E(f862(f66(x94971,x94971,x94972,f862(x94973,x94974)),f862(f66(x94971,x94971,x94972,f862(x94973,x94975)),x94976)),f862(f66(x94971,x94971,x94972,f862(x94973,x94975)),f862(f66(x94971,x94971,x94972,f862(x94973,x94974)),x94976))) % 186.59/186.36 [9506]~P32(x95061,x95062,x95063,x95064,x95067)+P32(x95061,x95062,x95063,f862(f862(f152(x95061,x95064),x95065),x95066),f862(f862(f152(x95062,x95067),x95065),x95068))+~P1(f862(f862(x95063,x95066),x95068))+~P1(f862(f862(f228(a924),x95065),f862(f182(f925(x95061)),x95064))) % 186.59/186.36 [9507]~P32(x95071,x95072,x95073,x95074,x95077)+P32(x95071,x95072,x95073,f862(f862(f152(x95071,x95074),x95075),x95076),f862(f862(f152(x95072,x95077),x95075),x95078))+~P1(f862(f862(x95073,x95076),x95078))+~P1(f862(f862(f228(a924),x95075),f862(f182(f925(x95072)),x95077))) % 186.59/186.36 [9589]~P22(x95892,x95892,x95895,x95896)+~P19(x95893,x95892,x95897,x95898,x95891)+~P1(f862(f54(x95892),x95896))+E(f862(f862(x95891,f862(f66(x95892,x95893,x95892,x95894),x95895)),x95896),f862(f862(x95891,x95894),f862(f302(x95892,x95892,x95895),x95896))) % 186.59/186.36 [9853]P23(x98531,x98532,x98533,x98534,x98535)+~P23(x98532,x98536,x98537,x98535,x98538)+~P23(x98531,x98536,f862(f66(x98532,x98536,x98531,x98537),x98533),x98534,x98538)+~P1(f862(f862(f227(f932(x98532,a921)),f862(f302(x98531,x98532,x98533),x98534)),x98535)) % 186.59/186.36 [9890]~P21(x98907,x98902,x98905,x98908,x98906,x98901)+~P1(f862(f54(x98902),x98904))+E(f862(x98901,f862(f862(f301(x98902),x98903),x98904)),f862(f862(x98905,f862(x98906,x98903)),f862(x98901,x98904)))+P1(f862(f862(f321(x98902),x98903),x98904)) % 186.59/186.36 [9902]~P20(x99026,x99025,x99021,x99027,x99028,x99022)+E(f862(f862(x99021,f862(x99022,x99023)),f862(x99022,x99024)),f862(x99022,x99024))+~P1(f862(f54(x99025),x99024))+~P1(f862(f862(f227(f932(x99025,a921)),x99023),x99024)) % 186.59/186.36 [9484]P1(f862(f862(f321(f931(f925(x94841),f925(x94841))),f862(f862(f244(f925(x94841),f925(x94841)),x94842),x94843)),f150(x94841,x94844)))+~E(x94843,f862(f862(f127(x94841),x94845),f862(f862(f144(x94841),x94846),x94847)))+~E(x94842,f862(f862(f127(x94841),x94845),f862(f862(f144(x94841),x94848),x94847)))+~P1(f862(f862(f321(f931(x94841,x94841)),f862(f862(f244(x94841,x94841),x94848),x94846)),x94844)) % 186.59/186.36 [9895]~P20(x98956,x98952,x98955,x98957,x98958,x98951)+~P1(f862(f54(x98952),x98954))+~P1(f862(f54(x98952),x98953))+E(f862(x98951,f862(f862(f103(f932(x98952,a921)),x98953),x98954)),f862(f862(x98955,f862(x98951,x98953)),f862(x98951,x98954))) % 186.59/186.36 [10447]~P22(x104474,x104472,x104475,x104478)+E(f862(f862(f32(x104471,f932(x104472,a921)),x104473),f862(f862(f10(f932(x104474,a921),f932(x104472,a921),x104471),f302(x104474,x104472,x104475)),x104476)),f862(f302(x104474,x104472,x104475),f862(f862(f32(x104471,f932(x104474,a921)),x104473),x104476)))+~P1(f862(f862(f321(x104471),x104477),x104473))+P1(f862(f862(f321(x104471),f544(x104477,x104476,x104473,x104471,x104478,x104475,x104472,x104474)),x104473)) % 186.59/186.36 [10473]~P22(x104734,x104732,x104735,x104737)+E(f862(f862(f32(x104731,f932(x104732,a921)),x104733),f862(f862(f10(f932(x104734,a921),f932(x104732,a921),x104731),f302(x104734,x104732,x104735)),x104736)),f862(f302(x104734,x104732,x104735),f862(f862(f32(x104731,f932(x104734,a921)),x104733),x104736)))+~P1(f862(f862(f321(x104731),x104738),x104733))+~P1(f862(f862(f227(f932(x104734,a921)),f862(x104736,f544(x104738,x104736,x104733,x104731,x104737,x104735,x104732,x104734))),x104737)) % 186.59/186.36 [10485]~P1(f862(f862(x104851,x104858),x104857))+P1(f862(f862(x104851,x104852),x104853))+~P1(f862(f862(f321(f931(f931(x104854,x104855),f931(x104854,x104855))),f862(f862(f244(f931(x104854,x104855),f931(x104854,x104855)),f862(f862(f244(x104854,x104855),x104852),x104853)),f862(f862(f244(x104854,x104855),x104858),x104857))),f299(f931(x104854,x104855),x104856)))+P1(f862(f862(f321(f931(f931(x104854,x104855),f931(x104854,x104855))),f862(f862(f244(f931(x104854,x104855),f931(x104854,x104855)),f862(f862(f244(x104854,x104855),f851(x104851,x104856,x104857,x104858,x104853,x104852,x104855,x104854)),f854(x104851,x104856,x104857,x104858,x104853,x104852,x104855,x104854))),f862(f862(f244(x104854,x104855),f849(x104851,x104856,x104857,x104858,x104853,x104852,x104855,x104854)),f855(x104851,x104856,x104857,x104858,x104853,x104852,x104855,x104854)))),x104856)) % 186.59/186.36 [10486]~P1(f862(f862(x104861,x104868),x104867))+P1(f862(f862(x104861,x104862),x104863))+~P1(f862(f862(f321(f931(f931(x104864,x104865),f931(x104864,x104865))),f862(f862(f244(f931(x104864,x104865),f931(x104864,x104865)),f862(f862(f244(x104864,x104865),x104868),x104867)),f862(f862(f244(x104864,x104865),x104862),x104863))),f299(f931(x104864,x104865),x104866)))+P1(f862(f862(f321(f931(f931(x104864,x104865),f931(x104864,x104865))),f862(f862(f244(f931(x104864,x104865),f931(x104864,x104865)),f862(f862(f244(x104864,x104865),f843(x104861,x104866,x104863,x104862,x104867,x104868,x104865,x104864)),f850(x104861,x104866,x104863,x104862,x104867,x104868,x104865,x104864))),f862(f862(f244(x104864,x104865),f852(x104861,x104866,x104863,x104862,x104867,x104868,x104865,x104864)),f853(x104861,x104866,x104863,x104862,x104867,x104868,x104865,x104864)))),x104866)) % 186.59/186.36 [9964]~P21(x99647,x99645,x99641,x99648,x99642,x99644)+~P1(f862(f54(x99645),x99646))+~P1(f862(f862(f321(x99645),x99643),x99646))+E(f862(f862(x99641,f862(x99642,x99643)),f862(x99644,f862(f862(f3(f932(x99645,a921)),x99646),f862(f862(f301(x99645),x99643),f181(f932(x99645,a921)))))),f862(x99644,x99646)) % 186.59/186.36 [9972]~P21(x99726,x99723,x99721,x99727,x99728,x99722)+~P1(f862(f54(x99723),x99725))+~P1(f862(f54(x99723),x99724))+E(f862(f862(x99721,f862(x99722,f862(f862(f103(f932(x99723,a921)),x99724),x99725))),f862(x99722,f862(f862(f94(f932(x99723,a921)),x99724),x99725))),f862(f862(x99721,f862(x99722,x99724)),f862(x99722,x99725))) % 186.59/186.36 [10056]P40(x100561,x100562,x100563,x100564,x100565,f862(f862(x100563,x100566),x100567))+~P40(x100561,x100562,x100563,x100564,f862(f862(f3(f932(x100561,a921)),x100565),f862(f862(f301(x100561),x100568),f181(f932(x100561,a921)))),x100569)+~E(f862(f862(x100563,x100566),x100567),f862(f862(x100563,x100568),x100569))+~P1(f862(f862(f321(x100561),x100568),x100565)) % 186.59/186.36 [9997]~P10(x99976,x99977,x99978,x99979,x999710,x99971)+E(f862(f862(x99971,x99972),x99973),f862(f862(x99971,x99974),x99975))+~P1(f862(f862(f321(f931(x99977,x99977)),f862(f862(f244(x99977,x99977),x99973),x99975)),x999710))+~P1(f862(f862(f321(f931(x99976,x99976)),f862(f862(f244(x99976,x99976),x99972),x99974)),x99979)) % 186.59/186.36 [9591]~P93(x95912)+E(x95911,f181(f932(x95912,a921)))+~P1(f862(f54(x95912),x95911))+P1(f862(f862(f321(x95912),f12(x95912,x95911)),x95911))+~P1(f862(f862(f321(x95912),f862(f862(f94(x95912),f885(x95911,x95912)),f889(x95911,x95912))),f862(f862(f301(x95912),f885(x95911,x95912)),f862(f862(f301(x95912),f889(x95911,x95912)),f181(f932(x95912,a921)))))) % 186.59/186.36 [9592]~P93(x95922)+E(x95921,f181(f932(x95922,a921)))+~P1(f862(f54(x95922),x95921))+P1(f862(f862(f321(x95922),f15(x95922,x95921)),x95921))+~P1(f862(f862(f321(x95922),f862(f862(f103(x95922),f890(x95921,x95922)),f891(x95921,x95922))),f862(f862(f301(x95922),f890(x95921,x95922)),f862(f862(f301(x95922),f891(x95921,x95922)),f181(f932(x95922,a921)))))) % 186.59/186.36 [9625]~P69(x96252)+E(x96251,f181(f932(x96252,a921)))+~P1(f862(f54(x96252),x96251))+P1(f862(f862(f321(x96252),f862(f56(x96252,f74(x96252)),x96251)),x96251))+~P1(f862(f862(f321(x96252),f862(f862(f74(x96252),f903(x96251,x96252)),f904(x96251,x96252))),f862(f862(f301(x96252),f903(x96251,x96252)),f862(f862(f301(x96252),f904(x96251,x96252)),f181(f932(x96252,a921)))))) % 186.59/186.36 [9630]~P109(x96302)+E(x96301,f181(f932(x96302,a921)))+~P1(f862(f54(x96302),x96301))+P1(f862(f862(f321(x96302),f13(x96302,f225(x96302),x96301)),x96301))+~P1(f862(f862(f321(x96302),f862(f862(f225(x96302),f456(x96301,x96302)),f457(x96301,x96302))),f862(f862(f301(x96302),f456(x96301,x96302)),f862(f862(f301(x96302),f457(x96301,x96302)),f181(f932(x96302,a921)))))) % 186.59/186.36 [9631]~P109(x96312)+E(x96311,f181(f932(x96312,a921)))+~P1(f862(f54(x96312),x96311))+P1(f862(f862(f321(x96312),f14(x96312,f226(x96312),x96311)),x96311))+~P1(f862(f862(f321(x96312),f862(f862(f226(x96312),f470(x96311,x96312)),f471(x96311,x96312))),f862(f862(f301(x96312),f470(x96311,x96312)),f862(f862(f301(x96312),f471(x96311,x96312)),f181(f932(x96312,a921)))))) % 186.59/186.36 [6725]~P87(x67252)+E(x67251,f2(x67252))+~E(f862(f862(f73(x67252),x67253),x67251),f2(x67252))+~P1(f862(f862(f227(x67252),f2(x67252)),x67253))+~P1(f862(f862(f227(x67252),f2(x67252)),x67251)) % 186.59/186.36 [6726]~P87(x67262)+E(x67261,f2(x67262))+~E(f862(f862(f73(x67262),x67261),x67263),f2(x67262))+~P1(f862(f862(f227(x67262),f2(x67262)),x67263))+~P1(f862(f862(f227(x67262),f2(x67262)),x67261)) % 186.59/186.36 [7265]~P109(x72652)+~P11(x72652,x72651)+E(x72651,f106(x72652))+~P1(f862(f862(f321(x72652),x72653),f862(f165(x72652),f714(x72651,x72652))))+P1(f862(f862(f227(x72652),f733(x72651,x72652)),x72653)) % 186.59/186.36 [7437]~P109(x74371)+E(f16(x74371,x74372),x74373)+~P1(f862(f54(x74371),x74372))+~P1(f862(f862(f227(x74371),x74373),f459(x74373,x74372,x74371)))+~P1(f862(f862(f321(x74371),x74373),x74372)) % 186.59/186.36 [7471]~P109(x74711)+~P11(x74711,x74712)+~P11(x74711,x74713)+P11(x74711,f862(f862(f127(x74711),x74712),x74713))+P1(f862(f862(f321(x74711),f720(x74713,x74712,x74711)),f862(f165(x74711),x74712))) % 186.59/186.36 [7472]~P109(x74721)+~P11(x74721,x74722)+~P11(x74721,x74723)+P11(x74721,f862(f862(f127(x74721),x74722),x74723))+P1(f862(f862(f321(x74721),f721(x74723,x74722,x74721)),f862(f165(x74721),x74723))) % 186.59/186.36 [7533]~P109(x75331)+E(f16(x75331,x75332),x75333)+~P1(f862(f54(x75331),x75332))+P1(f862(f862(f321(x75331),f459(x75333,x75332,x75331)),x75332))+~P1(f862(f862(f321(x75331),x75333),x75332)) % 186.59/186.36 [7534]~P109(x75341)+E(f17(x75341,x75342),x75343)+~P1(f862(f54(x75341),x75342))+P1(f862(f862(f321(x75341),f465(x75343,x75342,x75341)),x75342))+~P1(f862(f862(f321(x75341),x75343),x75342)) % 186.59/186.36 [8104]~P109(x81041)+E(f17(x81041,x81042),x81043)+~P1(f862(f54(x81041),x81042))+~P1(f862(f862(f321(x81041),x81043),x81042))+~P1(f862(f862(f227(x81041),f465(x81043,x81042,x81041)),x81043)) % 186.59/186.36 [8427]~P109(x84271)+~P11(x84271,x84272)+~P11(x84271,x84273)+P11(x84271,f862(f862(f127(x84271),x84272),x84273))+~P1(f862(f862(f227(x84271),f720(x84273,x84272,x84271)),f721(x84273,x84272,x84271))) % 186.59/186.36 [9223]~P93(x92232)+E(x92231,f181(f932(x92232,a921)))+~E(f862(f862(f94(x92232),f862(x92233,f894(x92231,x92233,x92232))),f862(x92233,f895(x92231,x92233,x92232))),f862(x92233,f862(f862(f94(x92232),f894(x92231,x92233,x92232)),f895(x92231,x92233,x92232))))+E(f12(x92232,f862(f302(x92232,x92232,x92233),x92231)),f862(x92233,f12(x92232,x92231)))+~P1(f862(f54(x92232),x92231)) % 186.59/186.36 [9224]~P93(x92242)+E(x92241,f181(f932(x92242,a921)))+~E(f862(f862(f103(x92242),f862(x92243,f896(x92241,x92243,x92242))),f862(x92243,f897(x92241,x92243,x92242))),f862(x92243,f862(f862(f103(x92242),f896(x92241,x92243,x92242)),f897(x92241,x92243,x92242))))+E(f15(x92242,f862(f302(x92242,x92242,x92243),x92241)),f862(x92243,f15(x92242,x92241)))+~P1(f862(f54(x92242),x92241)) % 186.59/186.36 [9225]~P109(x92252)+E(x92251,f181(f932(x92252,a921)))+~E(f862(f862(f225(x92252),f862(x92253,f460(x92251,x92253,x92252))),f862(x92253,f462(x92251,x92253,x92252))),f862(x92253,f862(f862(f225(x92252),f460(x92251,x92253,x92252)),f462(x92251,x92253,x92252))))+E(f16(x92252,f862(f302(x92252,x92252,x92253),x92251)),f862(x92253,f16(x92252,x92251)))+~P1(f862(f54(x92252),x92251)) % 186.59/186.36 [9226]~P109(x92262)+E(x92261,f181(f932(x92262,a921)))+~E(f862(f862(f226(x92262),f862(x92263,f473(x92261,x92263,x92262))),f862(x92263,f476(x92261,x92263,x92262))),f862(x92263,f862(f862(f226(x92262),f473(x92261,x92263,x92262)),f476(x92261,x92263,x92262))))+E(f17(x92262,f862(f302(x92262,x92262,x92263),x92261)),f862(x92263,f17(x92262,x92261)))+~P1(f862(f54(x92262),x92261)) % 186.59/186.36 [9295]~P109(x92952)+E(x92951,f181(f932(x92952,a921)))+~E(f862(f862(f225(x92952),f862(x92953,f454(x92951,x92953,x92952))),f862(x92953,f461(x92951,x92953,x92952))),f862(x92953,f862(f862(f225(x92952),f454(x92951,x92953,x92952)),f461(x92951,x92953,x92952))))+E(f13(x92952,f225(x92952),f862(f302(x92952,x92952,x92953),x92951)),f862(x92953,f13(x92952,f225(x92952),x92951)))+~P1(f862(f54(x92952),x92951)) % 186.59/186.36 [9296]~P109(x92962)+E(x92961,f181(f932(x92962,a921)))+~E(f862(f862(f226(x92962),f862(x92963,f474(x92961,x92963,x92962))),f862(x92963,f475(x92961,x92963,x92962))),f862(x92963,f862(f862(f226(x92962),f474(x92961,x92963,x92962)),f475(x92961,x92963,x92962))))+E(f14(x92962,f226(x92962),f862(f302(x92962,x92962,x92963),x92961)),f862(x92963,f14(x92962,f226(x92962),x92961)))+~P1(f862(f54(x92962),x92961)) % 186.59/186.36 [6742]~P69(x67422)+E(x67421,f181(f932(x67422,a921)))+~P1(f862(f54(x67422),x67421))+E(f862(f56(x67422,f74(x67422)),f862(f862(f301(x67422),x67423),x67421)),f862(f862(f74(x67422),x67423),f862(f56(x67422,f74(x67422)),x67421)))+P1(f862(f862(f321(x67422),x67423),x67421)) % 186.59/186.36 [7272]~P93(x72722)+E(f862(f862(f103(x72722),f15(x72722,x72721)),f15(x72722,x72723)),f15(x72722,x72723))+E(x72721,f181(f932(x72722,a921)))+~P1(f862(f54(x72722),x72723))+~P1(f862(f862(f227(f932(x72722,a921)),x72721),x72723)) % 186.59/186.36 [7273]~P93(x72732)+E(f862(f862(f94(x72732),f12(x72732,x72731)),f12(x72732,x72733)),f12(x72732,x72733))+E(x72731,f181(f932(x72732,a921)))+~P1(f862(f54(x72732),x72733))+~P1(f862(f862(f227(f932(x72732,a921)),x72731),x72733)) % 186.59/186.36 [7274]~P109(x72742)+E(f862(f862(f225(x72742),f16(x72742,x72741)),f16(x72742,x72743)),f16(x72742,x72743))+E(x72741,f181(f932(x72742,a921)))+~P1(f862(f54(x72742),x72743))+~P1(f862(f862(f227(f932(x72742,a921)),x72741),x72743)) % 186.59/186.36 [7275]~P109(x72752)+E(f862(f862(f226(x72752),f17(x72752,x72751)),f17(x72752,x72753)),f17(x72752,x72753))+E(x72751,f181(f932(x72752,a921)))+~P1(f862(f54(x72752),x72753))+~P1(f862(f862(f227(f932(x72752,a921)),x72751),x72753)) % 186.59/186.36 [7581]~P109(x75812)+E(x75811,f181(f932(x75812,a921)))+~P1(f862(f54(x75812),x75813))+P1(f862(f862(f227(x75812),f16(x75812,x75813)),f16(x75812,x75811)))+~P1(f862(f862(f227(f932(x75812,a921)),x75811),x75813)) % 186.59/186.36 [7582]~P109(x75822)+E(x75821,f181(f932(x75822,a921)))+~P1(f862(f54(x75822),x75823))+P1(f862(f862(f227(x75822),f17(x75822,x75821)),f17(x75822,x75823)))+~P1(f862(f862(f227(f932(x75822,a921)),x75821),x75823)) % 186.59/186.36 [7635]~P93(x76351)+E(f12(x76351,x76352),x76353)+~P1(f862(f54(x76351),x76352))+~E(f862(f862(f3(f932(x76351,a921)),x76352),f862(f862(f301(x76351),x76353),f181(f932(x76351,a921)))),f181(f932(x76351,a921)))+~P1(f862(f862(f321(x76351),x76353),x76352)) % 186.59/186.36 [7636]~P93(x76361)+E(f15(x76361,x76362),x76363)+~P1(f862(f54(x76361),x76362))+~E(f862(f862(f3(f932(x76361,a921)),x76362),f862(f862(f301(x76361),x76363),f181(f932(x76361,a921)))),f181(f932(x76361,a921)))+~P1(f862(f862(f321(x76361),x76363),x76362)) % 186.59/186.36 [7637]~P109(x76371)+E(f16(x76371,x76372),x76373)+~P1(f862(f54(x76371),x76372))+~E(f862(f862(f3(f932(x76371,a921)),x76372),f862(f862(f301(x76371),x76373),f181(f932(x76371,a921)))),f181(f932(x76371,a921)))+~P1(f862(f862(f321(x76371),x76373),x76372)) % 186.59/186.36 [7638]~P109(x76381)+E(f17(x76381,x76382),x76383)+~P1(f862(f54(x76381),x76382))+~E(f862(f862(f3(f932(x76381,a921)),x76382),f862(f862(f301(x76381),x76383),f181(f932(x76381,a921)))),f181(f932(x76381,a921)))+~P1(f862(f862(f321(x76381),x76383),x76382)) % 186.59/186.36 [7731]~P109(x77311)+E(f13(x77311,f225(x77311),x77312),x77313)+~P1(f862(f54(x77311),x77312))+~E(f862(f862(f3(f932(x77311,a921)),x77312),f862(f862(f301(x77311),x77313),f181(f932(x77311,a921)))),f181(f932(x77311,a921)))+~P1(f862(f862(f321(x77311),x77313),x77312)) % 186.59/186.36 [7732]~P109(x77321)+E(f14(x77321,f226(x77321),x77322),x77323)+~P1(f862(f54(x77321),x77322))+~E(f862(f862(f3(f932(x77321,a921)),x77322),f862(f862(f301(x77321),x77323),f181(f932(x77321,a921)))),f181(f932(x77321,a921)))+~P1(f862(f862(f321(x77321),x77323),x77322)) % 186.59/186.36 [7768]~P104(x77682)+E(x77681,f181(f932(x77682,a921)))+~P1(f862(f54(x77682),x77681))+~P1(f862(f862(f227(x77682),x77683),f892(x77683,x77681,x77682)))+P1(f862(f862(f227(x77682),x77683),f862(f56(x77682,f94(x77682)),x77681))) % 186.59/186.36 [7769]~P109(x77692)+E(x77691,f181(f932(x77692,a921)))+~P1(f862(f54(x77692),x77691))+~P1(f862(f862(f227(x77692),x77693),f450(x77693,x77691,x77692)))+P1(f862(f862(f227(x77692),x77693),f862(f56(x77692,f225(x77692)),x77691))) % 186.59/186.36 [7770]~P109(x77702)+E(x77701,f181(f932(x77702,a921)))+~P1(f862(f54(x77702),x77701))+~P1(f862(f862(f228(x77702),x77703),f451(x77703,x77701,x77702)))+P1(f862(f862(f228(x77702),x77703),f862(f56(x77702,f225(x77702)),x77701))) % 186.59/186.36 [7857]~P104(x78572)+E(x78571,f181(f932(x78572,a921)))+~P1(f862(f54(x78572),x78571))+P1(f862(f862(f321(x78572),f892(x78573,x78571,x78572)),x78571))+P1(f862(f862(f227(x78572),x78573),f862(f56(x78572,f94(x78572)),x78571))) % 186.59/186.36 [7858]~P109(x78582)+E(x78581,f181(f932(x78582,a921)))+~P1(f862(f54(x78582),x78581))+P1(f862(f862(f321(x78582),f450(x78583,x78581,x78582)),x78581))+P1(f862(f862(f227(x78582),x78583),f862(f56(x78582,f225(x78582)),x78581))) % 186.59/186.36 [7859]~P109(x78592)+E(x78591,f181(f932(x78592,a921)))+~P1(f862(f54(x78592),x78591))+P1(f862(f862(f321(x78592),f451(x78593,x78591,x78592)),x78591))+P1(f862(f862(f228(x78592),x78593),f862(f56(x78592,f225(x78592)),x78591))) % 186.59/186.36 [7980]~P109(x79802)+E(x79801,f181(f932(x79802,a921)))+E(f862(f862(f225(x79802),f13(x79802,f225(x79802),x79801)),f13(x79802,f225(x79802),x79803)),f13(x79802,f225(x79802),x79803))+~P1(f862(f54(x79802),x79803))+~P1(f862(f862(f227(f932(x79802,a921)),x79801),x79803)) % 186.59/186.36 [7981]~P109(x79812)+E(x79811,f181(f932(x79812,a921)))+E(f862(f862(f226(x79812),f14(x79812,f226(x79812),x79811)),f14(x79812,f226(x79812),x79813)),f14(x79812,f226(x79812),x79813))+~P1(f862(f54(x79812),x79813))+~P1(f862(f862(f227(f932(x79812,a921)),x79811),x79813)) % 186.59/186.36 [8183]~E(f370(x81831,x81833,x81832),f371(x81831,x81833,x81832))+~E(f862(f28(x81832),f372(x81831,x81833,x81832)),x81831)+E(f862(f862(f74(a924),x81831),f862(f28(f932(x81832,a921)),x81833)),f862(f28(x81832),f30(f932(x81832,a921),x81833)))+~P1(f862(f54(x81832),f30(f932(x81832,a921),x81833)))+~P1(f862(f54(f932(x81832,a921)),x81833)) % 186.59/186.36 [8366]~P109(x83662)+E(x83661,f181(f932(x83662,a921)))+~P1(f862(f54(x83662),x83663))+P1(f862(f862(f227(x83662),f862(f56(x83662,f225(x83662)),x83663)),f862(f56(x83662,f225(x83662)),x83661)))+~P1(f862(f862(f227(f932(x83662,a921)),x83661),x83663)) % 186.59/186.36 [8666]~E(f370(x86661,x86663,x86662),f371(x86661,x86663,x86662))+E(f862(f862(f74(a924),x86661),f862(f28(f932(x86662,a921)),x86663)),f862(f28(x86662),f30(f932(x86662,a921),x86663)))+P1(f862(f862(f321(f932(x86662,a921)),f372(x86661,x86663,x86662)),x86663))+~P1(f862(f54(x86662),f30(f932(x86662,a921),x86663)))+~P1(f862(f54(f932(x86662,a921)),x86663)) % 186.59/186.36 [8692]~E(f862(f28(x86922),f372(x86921,x86923,x86922)),x86921)+E(f862(f862(f74(a924),x86921),f862(f28(f932(x86922,a921)),x86923)),f862(f28(x86922),f30(f932(x86922,a921),x86923)))+P1(f862(f862(f321(f932(x86922,a921)),f371(x86921,x86923,x86922)),x86923))+~P1(f862(f54(x86922),f30(f932(x86922,a921),x86923)))+~P1(f862(f54(f932(x86922,a921)),x86923)) % 186.59/186.36 [8693]~E(f862(f28(x86932),f372(x86931,x86933,x86932)),x86931)+E(f862(f862(f74(a924),x86931),f862(f28(f932(x86932,a921)),x86933)),f862(f28(x86932),f30(f932(x86932,a921),x86933)))+P1(f862(f862(f321(f932(x86932,a921)),f370(x86931,x86933,x86932)),x86933))+~P1(f862(f54(x86932),f30(f932(x86932,a921),x86933)))+~P1(f862(f54(f932(x86932,a921)),x86933)) % 186.59/186.36 [8719]~E(f862(f28(x87192),f372(x87191,x87193,x87192)),x87191)+~E(f862(f862(f94(f932(x87192,a921)),f371(x87191,x87193,x87192)),f370(x87191,x87193,x87192)),f181(f932(x87192,a921)))+E(f862(f862(f74(a924),x87191),f862(f28(f932(x87192,a921)),x87193)),f862(f28(x87192),f30(f932(x87192,a921),x87193)))+~P1(f862(f54(f932(x87192,a921)),x87193))+~P1(f862(f54(x87192),f30(f932(x87192,a921),x87193))) % 186.59/186.36 [8985]E(f862(f862(f74(a924),x89851),f862(f28(f932(x89852,a921)),x89853)),f862(f28(x89852),f30(f932(x89852,a921),x89853)))+P1(f862(f862(f321(f932(x89852,a921)),f372(x89851,x89853,x89852)),x89853))+P1(f862(f862(f321(f932(x89852,a921)),f371(x89851,x89853,x89852)),x89853))+~P1(f862(f54(f932(x89852,a921)),x89853))+~P1(f862(f54(x89852),f30(f932(x89852,a921),x89853))) % 186.59/186.36 [8986]E(f862(f862(f74(a924),x89861),f862(f28(f932(x89862,a921)),x89863)),f862(f28(x89862),f30(f932(x89862,a921),x89863)))+P1(f862(f862(f321(f932(x89862,a921)),f372(x89861,x89863,x89862)),x89863))+P1(f862(f862(f321(f932(x89862,a921)),f370(x89861,x89863,x89862)),x89863))+~P1(f862(f54(f932(x89862,a921)),x89863))+~P1(f862(f54(x89862),f30(f932(x89862,a921),x89863))) % 186.59/186.36 [9012]~E(f862(f862(f94(f932(x90122,a921)),f371(x90121,x90123,x90122)),f370(x90121,x90123,x90122)),f181(f932(x90122,a921)))+E(f862(f862(f74(a924),x90121),f862(f28(f932(x90122,a921)),x90123)),f862(f28(x90122),f30(f932(x90122,a921),x90123)))+~P1(f862(f54(f932(x90122,a921)),x90123))+P1(f862(f862(f321(f932(x90122,a921)),f372(x90121,x90123,x90122)),x90123))+~P1(f862(f54(x90122),f30(f932(x90122,a921),x90123))) % 186.59/186.36 [9269]~P100(x92692)+E(x92691,f181(f932(x92692,a921)))+~E(f862(f862(f74(x92692),f862(x92693,f902(x92691,x92693,x92692))),f862(x92693,f905(x92691,x92693,x92692))),f862(x92693,f862(f862(f74(x92692),f902(x92691,x92693,x92692)),f905(x92691,x92693,x92692))))+~P1(f862(f54(x92692),x92691))+E(f862(f56(x92692,f74(x92692)),f862(f302(x92692,x92692,x92693),x92691)),f862(x92693,f862(f56(x92692,f74(x92692)),x92691))) % 186.59/186.36 [10218]P1(f862(f862(x102181,x102182),x102183))+P1(f862(f862(f228(a1),f501(x102181,x102183,x102182)),f503(x102181,x102183,x102182)))+P1(f862(f862(f227(a1),f503(x102181,x102183,x102182)),f2(a1)))+P1(f862(f862(x102181,f501(x102181,x102183,x102182)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f503(x102181,x102183,x102182))))+~P1(f862(f307(f931(a1,a1),a51),f862(f862(f244(a1,a1),x102182),x102183))) % 186.59/186.36 [10224]P1(f862(f862(x102241,x102242),x102243))+P1(f862(f862(f227(a1),f500(x102241,x102243,x102242)),f2(a1)))+P1(f862(f862(x102241,f499(x102241,x102243,x102242)),f862(f862(f74(a1),f862(f96(a1),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f500(x102241,x102243,x102242))))+P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),f499(x102241,x102243,x102242)),f500(x102241,x102243,x102242))))+~P1(f862(f307(f931(a1,a1),a45),f862(f862(f244(a1,a1),x102242),x102243))) % 186.59/186.36 [8154]~P112(x81541)+~P1(f862(f862(f227(x81541),x81542),f71(x81541)))+~P1(f862(f862(f227(x81541),f2(x81541)),x81542))+~P1(f862(f862(f227(x81541),f2(x81541)),x81543))+P1(f862(f862(f227(x81541),f862(f862(f74(x81541),x81542),x81543)),x81543)) % 186.59/186.36 [8155]~P112(x81551)+~P1(f862(f862(f227(x81551),x81553),f71(x81551)))+~P1(f862(f862(f227(x81551),f2(x81551)),x81553))+~P1(f862(f862(f227(x81551),f2(x81551)),x81552))+P1(f862(f862(f227(x81551),f862(f862(f74(x81551),x81552),x81553)),x81552)) % 186.59/186.36 [8512]~P109(x85122)+E(x85121,f181(f932(x85122,a921)))+~P1(f862(f54(x85122),x85121))+P1(f862(f862(f321(x85122),f452(x85123,x85121,x85122)),x85121))+~P1(f862(f862(f227(x85122),f862(f56(x85122,f225(x85122)),x85121)),x85123)) % 186.59/186.36 [8513]~P109(x85132)+E(x85131,f181(f932(x85132,a921)))+~P1(f862(f54(x85132),x85131))+P1(f862(f862(f321(x85132),f453(x85133,x85131,x85132)),x85131))+~P1(f862(f862(f228(x85132),f862(f56(x85132,f225(x85132)),x85131)),x85133)) % 186.59/186.36 [8514]~P109(x85142)+E(x85141,f181(f932(x85142,a921)))+~P1(f862(f54(x85142),x85141))+P1(f862(f862(f227(x85142),f452(x85143,x85141,x85142)),x85143))+~P1(f862(f862(f227(x85142),f862(f56(x85142,f225(x85142)),x85141)),x85143)) % 186.59/186.36 [8515]~P109(x85152)+E(x85151,f181(f932(x85152,a921)))+~P1(f862(f54(x85152),x85151))+P1(f862(f862(f228(x85152),f453(x85153,x85151,x85152)),x85153))+~P1(f862(f862(f228(x85152),f862(f56(x85152,f225(x85152)),x85151)),x85153)) % 186.59/186.36 [8601]~P1(f862(x86011,x86013))+P1(f862(x86011,f388(x86011,x86012)))+P1(f862(x86011,f387(x86011,x86012)))+~P1(f862(f862(f228(a1),f2(a1)),x86012))+P1(f862(x86011,f862(f862(f3(a1),f387(x86011,x86012)),f862(f862(f74(a1),f389(x86011,x86012)),x86012)))) % 186.59/186.36 [8821]~P1(f862(x88211,x88213))+P1(f862(x88211,f387(x88211,x88212)))+~P1(f862(f862(f228(a1),f2(a1)),x88212))+P1(f862(f862(f321(a1),f388(x88211,x88212)),f296(a1,f71(a1),x88212)))+P1(f862(x88211,f862(f862(f3(a1),f387(x88211,x88212)),f862(f862(f74(a1),f389(x88211,x88212)),x88212)))) % 186.59/186.36 [9036]~P1(f862(x90361,x90363))+~P1(f862(x90361,f387(x90361,x90362)))+P1(f862(x90361,f388(x90361,x90362)))+~P1(f862(f862(f228(a1),f2(a1)),x90362))+~P1(f862(x90361,f862(f862(f3(a1),f387(x90361,x90362)),f862(f862(f74(a1),f389(x90361,x90362)),x90362)))) % 186.59/186.36 [9160]~P1(f862(x91601,x91603))+~P1(f862(x91601,f387(x91601,x91602)))+~P1(f862(f862(f228(a1),f2(a1)),x91602))+P1(f862(f862(f321(a1),f388(x91601,x91602)),f296(a1,f71(a1),x91602)))+~P1(f862(x91601,f862(f862(f3(a1),f387(x91601,x91602)),f862(f862(f74(a1),f389(x91601,x91602)),x91602)))) % 186.59/186.36 [8940]~P93(x89401)+~P1(f862(f54(x89401),x89402))+E(f862(f862(f3(f932(x89401,a921)),x89402),f862(f862(f301(x89401),x89403),f181(f932(x89401,a921)))),f181(f932(x89401,a921)))+~P1(f862(f862(f321(x89401),x89403),x89402))+E(f862(f862(f94(x89401),x89403),f12(x89401,f862(f862(f3(f932(x89401,a921)),x89402),f862(f862(f301(x89401),x89403),f181(f932(x89401,a921)))))),f12(x89401,x89402)) % 186.59/186.36 [8941]~P93(x89411)+~P1(f862(f54(x89411),x89412))+E(f862(f862(f3(f932(x89411,a921)),x89412),f862(f862(f301(x89411),x89413),f181(f932(x89411,a921)))),f181(f932(x89411,a921)))+~P1(f862(f862(f321(x89411),x89413),x89412))+E(f862(f862(f103(x89411),x89413),f15(x89411,f862(f862(f3(f932(x89411,a921)),x89412),f862(f862(f301(x89411),x89413),f181(f932(x89411,a921)))))),f15(x89411,x89412)) % 186.59/186.36 [8942]~P109(x89421)+~P1(f862(f54(x89421),x89422))+E(f862(f862(f3(f932(x89421,a921)),x89422),f862(f862(f301(x89421),x89423),f181(f932(x89421,a921)))),f181(f932(x89421,a921)))+~P1(f862(f862(f321(x89421),x89423),x89422))+E(f862(f862(f225(x89421),x89423),f16(x89421,f862(f862(f3(f932(x89421,a921)),x89422),f862(f862(f301(x89421),x89423),f181(f932(x89421,a921)))))),f16(x89421,x89422)) % 186.59/186.36 [8943]~P109(x89431)+~P1(f862(f54(x89431),x89432))+E(f862(f862(f3(f932(x89431,a921)),x89432),f862(f862(f301(x89431),x89433),f181(f932(x89431,a921)))),f181(f932(x89431,a921)))+~P1(f862(f862(f321(x89431),x89433),x89432))+E(f862(f862(f226(x89431),x89433),f17(x89431,f862(f862(f3(f932(x89431,a921)),x89432),f862(f862(f301(x89431),x89433),f181(f932(x89431,a921)))))),f17(x89431,x89432)) % 186.59/186.36 [9005]~P109(x90051)+~P1(f862(f54(x90051),x90052))+E(f862(f862(f3(f932(x90051,a921)),x90052),f862(f862(f301(x90051),x90053),f181(f932(x90051,a921)))),f181(f932(x90051,a921)))+~P1(f862(f862(f321(x90051),x90053),x90052))+E(f862(f862(f225(x90051),x90053),f13(x90051,f225(x90051),f862(f862(f3(f932(x90051,a921)),x90052),f862(f862(f301(x90051),x90053),f181(f932(x90051,a921)))))),f13(x90051,f225(x90051),x90052)) % 186.59/186.36 [9006]~P109(x90061)+~P1(f862(f54(x90061),x90062))+E(f862(f862(f3(f932(x90061,a921)),x90062),f862(f862(f301(x90061),x90063),f181(f932(x90061,a921)))),f181(f932(x90061,a921)))+~P1(f862(f862(f321(x90061),x90063),x90062))+E(f862(f862(f226(x90061),x90063),f14(x90061,f226(x90061),f862(f862(f3(f932(x90061,a921)),x90062),f862(f862(f301(x90061),x90063),f181(f932(x90061,a921)))))),f14(x90061,f226(x90061),x90062)) % 186.59/186.36 [9022]~P93(x90221)+~P1(f862(f54(x90221),x90223))+~P1(f862(f54(x90221),x90222))+E(f862(f862(f94(f932(x90221,a921)),x90222),x90223),f181(f932(x90221,a921)))+E(f862(f862(f103(x90221),f15(x90221,f862(f862(f103(f932(x90221,a921)),x90222),x90223))),f15(x90221,f862(f862(f94(f932(x90221,a921)),x90222),x90223))),f862(f862(f103(x90221),f15(x90221,x90222)),f15(x90221,x90223))) % 186.59/186.36 [9023]~P93(x90231)+~P1(f862(f54(x90231),x90233))+~P1(f862(f54(x90231),x90232))+E(f862(f862(f94(f932(x90231,a921)),x90232),x90233),f181(f932(x90231,a921)))+E(f862(f862(f94(x90231),f12(x90231,f862(f862(f103(f932(x90231,a921)),x90232),x90233))),f12(x90231,f862(f862(f94(f932(x90231,a921)),x90232),x90233))),f862(f862(f94(x90231),f12(x90231,x90232)),f12(x90231,x90233))) % 186.59/186.36 [9024]~P109(x90241)+~P1(f862(f54(x90241),x90243))+~P1(f862(f54(x90241),x90242))+E(f862(f862(f94(f932(x90241,a921)),x90242),x90243),f181(f932(x90241,a921)))+E(f862(f862(f225(x90241),f16(x90241,f862(f862(f103(f932(x90241,a921)),x90242),x90243))),f16(x90241,f862(f862(f94(f932(x90241,a921)),x90242),x90243))),f862(f862(f225(x90241),f16(x90241,x90242)),f16(x90241,x90243))) % 186.59/186.36 [9025]~P109(x90251)+~P1(f862(f54(x90251),x90253))+~P1(f862(f54(x90251),x90252))+E(f862(f862(f94(f932(x90251,a921)),x90252),x90253),f181(f932(x90251,a921)))+E(f862(f862(f226(x90251),f17(x90251,f862(f862(f103(f932(x90251,a921)),x90252),x90253))),f17(x90251,f862(f862(f94(f932(x90251,a921)),x90252),x90253))),f862(f862(f226(x90251),f17(x90251,x90252)),f17(x90251,x90253))) % 186.59/186.36 [9241]~P109(x92411)+~P1(f862(f54(x92411),x92413))+~P1(f862(f54(x92411),x92412))+E(f862(f862(f94(f932(x92411,a921)),x92412),x92413),f181(f932(x92411,a921)))+E(f862(f862(f225(x92411),f13(x92411,f225(x92411),f862(f862(f103(f932(x92411,a921)),x92412),x92413))),f13(x92411,f225(x92411),f862(f862(f94(f932(x92411,a921)),x92412),x92413))),f862(f862(f225(x92411),f13(x92411,f225(x92411),x92412)),f13(x92411,f225(x92411),x92413))) % 186.59/186.36 [9242]~P109(x92421)+~P1(f862(f54(x92421),x92423))+~P1(f862(f54(x92421),x92422))+E(f862(f862(f94(f932(x92421,a921)),x92422),x92423),f181(f932(x92421,a921)))+E(f862(f862(f226(x92421),f14(x92421,f226(x92421),f862(f862(f103(f932(x92421,a921)),x92422),x92423))),f14(x92421,f226(x92421),f862(f862(f94(f932(x92421,a921)),x92422),x92423))),f862(f862(f226(x92421),f14(x92421,f226(x92421),x92422)),f14(x92421,f226(x92421),x92423))) % 186.59/186.36 [10053]~P127(x100533)+E(x100531,x100532)+~P1(f862(f862(f227(x100533),f2(x100533)),x100532))+~P1(f862(f862(f227(x100533),f2(x100533)),x100531))+~E(f862(f862(f236(x100533),x100531),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)))),f862(f862(f236(x100533),x100532),f862(f96(a924),f862(f862(f73(a1),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90)),f862(f862(f3(a1),f862(f862(f73(a1),a76),a76)),a90))))) % 186.59/186.36 [6061]~P61(x60612)+E(x60611,f2(x60612))+~E(f862(f862(f29(x60612),x60613),x60611),x60614)+E(x60613,f862(f862(f74(x60612),x60614),x60611))+~P1(f862(f862(f278(x60612),x60611),x60613)) % 186.59/186.36 [6062]~P61(x60622)+E(x60621,f2(x60622))+~E(x60623,f862(f862(f74(x60622),x60624),x60621))+E(f862(f862(f29(x60622),x60623),x60621),x60624)+~P1(f862(f862(f278(x60622),x60621),x60623)) % 186.59/186.36 [6537]E(f335(x65371,x65372,x65373),x65374)+E(f862(x65371,x65374),f2(a924))+~E(f862(f862(f8(x65373,a924),x65371),x65372),f71(a924))+~P1(f862(f54(x65373),x65372))+~P1(f862(f862(f321(x65373),x65374),x65372)) % 186.59/186.36 [6600]E(f333(x66001,x66002,x66003),x66004)+E(f862(x66001,x66004),f2(a924))+~E(f862(f862(f8(x66003,a924),x66001),x66002),f862(a105,f2(a924)))+~P1(f862(f54(x66003),x66002))+~P1(f862(f862(f321(x66003),x66004),x66002)) % 186.59/186.36 [6710]~P3(x67101)+~P109(x67101)+P1(f862(f862(f228(x67101),x67102),f30(x67101,x67103)))+~P1(f862(f862(f228(x67101),x67102),x67104))+~P1(f862(f862(f321(x67101),x67104),x67103)) % 186.59/186.36 [6888]~P3(x68881)+~P109(x68881)+~P1(f862(f862(f228(x68881),x68884),x68883))+P1(f862(f862(f228(x68881),f31(x68881,x68882)),x68883))+~P1(f862(f862(f321(x68881),x68884),x68882)) % 186.59/186.36 [7152]~P127(x71523)+E(x71521,x71522)+~E(f862(f862(f236(x71523),x71521),f862(a105,x71524)),f862(f862(f236(x71523),x71522),f862(a105,x71524)))+~P1(f862(f862(f227(x71523),f2(x71523)),x71522))+~P1(f862(f862(f227(x71523),f2(x71523)),x71521)) % 186.59/186.36 [7363]~E(f342(x73632,x73633,x73631,x73634),x73634)+~E(f862(x73632,x73634),f71(a924))+E(f862(f862(f8(x73631,a924),x73632),x73633),f71(a924))+~P1(f862(f54(x73631),x73633))+~P1(f862(f862(f321(x73631),x73634),x73633)) % 186.59/186.36 [7370]~P119(x73704)+~P133(x73704)+E(f862(x73701,f337(x73701,x73702,x73703,x73704)),f2(x73704))+~E(f862(f862(f11(x73703,x73704),x73701),x73702),f2(x73704))+~P1(f862(f54(x73703),x73702)) % 186.59/186.36 [7461]~E(f334(x74612,x74613,x74611,x74614),x74614)+~E(f862(x74612,x74614),f862(a105,f2(a924)))+E(f862(f862(f8(x74611,a924),x74612),x74613),f862(a105,f2(a924)))+~P1(f862(f54(x74611),x74613))+~P1(f862(f862(f321(x74611),x74614),x74613)) % 186.59/186.36 [8196]~E(f862(x81962,x81964),f71(a924))+~E(f862(x81962,f342(x81962,x81963,x81961,x81964)),f2(a924))+E(f862(f862(f8(x81961,a924),x81962),x81963),f71(a924))+~P1(f862(f54(x81961),x81963))+~P1(f862(f862(f321(x81961),x81964),x81963)) % 186.59/186.36 [8234]~E(f862(x82342,x82344),f862(a105,f2(a924)))+~E(f862(x82342,f334(x82342,x82343,x82341,x82344)),f2(a924))+E(f862(f862(f8(x82341,a924),x82342),x82343),f862(a105,f2(a924)))+~P1(f862(f54(x82341),x82343))+~P1(f862(f862(f321(x82341),x82344),x82343)) % 186.59/186.36 [8321]~P146(x83212)+~P120(x83212)+~P1(f862(x83211,x83214))+~P1(f862(f862(f278(x83212),x83213),f862(f862(f73(x83212),x83214),f2(x83212))))+P1(f862(x83211,f862(f862(f74(x83212),x83213),f860(x83213,x83211,x83212)))) % 186.59/186.36 [8788]~P109(x87881)+~P11(x87881,x87884)+P11(x87881,x87882)+~E(x87882,f862(f862(f144(x87881),x87883),x87884))+~P1(f862(f862(f227(x87881),x87883),f735(x87882,x87881,x87884,x87883))) % 186.59/186.36 [8825]E(x88251,x88252)+E(f862(f862(f3(a1),f390(x88253,x88252,x88254,x88251)),f391(x88253,x88252,x88254,x88251)),x88251)+~E(f862(f862(f73(a1),x88251),x88254),x88252)+~P1(f862(f862(f228(a1),f2(a1)),x88254))+~P1(f862(f862(f321(a1),x88252),x88253)) % 186.59/186.36 [8826]E(x88261,x88262)+E(f862(f862(f73(a1),f396(x88263,x88262,x88264,x88261)),f397(x88263,x88262,x88264,x88261)),x88261)+~E(f862(f862(f3(a1),x88261),x88264),x88262)+~P1(f862(f862(f228(a1),f2(a1)),x88264))+~P1(f862(f862(f321(a1),x88262),x88263)) % 186.59/186.36 [9020]E(f862(x90201,f443(x90202,x90201,x90203,x90204)),x90202)+P1(f862(f862(f227(a924),x90204),f444(x90202,x90201,x90203,x90204)))+~P1(f862(f862(f227(a1),x90202),f862(x90201,x90203)))+~P1(f862(f862(f228(a924),x90204),x90203))+~P1(f862(f862(f227(a1),f862(x90201,x90204)),x90202)) % 186.59/186.36 [9021]~P109(x90211)+~P11(x90211,x90213)+P11(x90211,x90212)+~E(x90212,f862(f862(f144(x90211),x90214),x90213))+P1(f862(f862(f321(x90211),f735(x90212,x90211,x90213,x90214)),f862(f165(x90211),x90213))) % 186.59/186.36 [9040]~P119(x90404)+~P133(x90404)+~E(f862(f862(f11(x90401,x90404),x90402),x90403),f2(x90404))+~P1(f862(f54(x90401),x90403))+P1(f862(f862(f321(x90401),f337(x90402,x90403,x90401,x90404)),x90403)) % 186.59/186.36 [9078]~E(f862(x90782,x90784),f71(a924))+E(f862(f862(f8(x90781,a924),x90782),x90783),f71(a924))+~P1(f862(f54(x90781),x90783))+~P1(f862(f862(f321(x90781),x90784),x90783))+P1(f862(f862(f321(x90781),f342(x90782,x90783,x90781,x90784)),x90783)) % 186.59/186.36 [9090]E(x90901,x90902)+~E(f862(f862(f73(a1),x90902),x90904),x90901)+~P1(f862(f862(f228(a1),f2(a1)),x90904))+~P1(f862(f862(f321(a1),x90901),x90903))+P1(f862(f862(f321(a1),f390(x90903,x90901,x90904,x90902)),x90903)) % 186.59/186.36 [9091]E(x90911,x90912)+~E(f862(f862(f3(a1),x90912),x90914),x90911)+~P1(f862(f862(f228(a1),f2(a1)),x90914))+~P1(f862(f862(f321(a1),x90911),x90913))+P1(f862(f862(f321(a1),f396(x90913,x90911,x90914,x90912)),x90913)) % 186.59/186.36 [9093]~E(f862(x90932,x90934),f862(a105,f2(a924)))+E(f862(f862(f8(x90931,a924),x90932),x90933),f862(a105,f2(a924)))+~P1(f862(f54(x90931),x90933))+~P1(f862(f862(f321(x90931),x90934),x90933))+P1(f862(f862(f321(x90931),f334(x90932,x90933,x90931,x90934)),x90933)) % 186.59/186.36 [9098]P56(x90982,x90983,x90984,x90981)+E(x90981,f181(f932(x90982,a921)))+~P1(f862(f54(x90982),x90984))+~P1(f862(f54(x90982),x90981))+P1(f862(f862(f321(x90982),f803(x90983,x90981,x90984,x90982)),x90984)) % 186.59/186.36 [9099]P56(x90992,x90993,x90994,x90991)+E(x90991,f181(f932(x90992,a921)))+~P1(f862(f54(x90992),x90994))+~P1(f862(f54(x90992),x90991))+P1(f862(f862(f321(x90992),f550(x90991,x90994,x90993,x90992)),x90994)) % 186.59/186.36 [9100]P56(x91002,x91003,x91004,x91001)+E(x91001,f181(f932(x91002,a921)))+~P1(f862(f54(x91002),x91004))+~P1(f862(f54(x91002),x91001))+P1(f862(f862(f321(x91002),f804(x91001,x91004,x91003,x91002)),x91004)) % 186.59/186.36 [9173]E(x91731,x91732)+~E(f862(f862(f73(a1),x91732),x91734),x91731)+~P1(f862(f862(f228(a1),f2(a1)),x91734))+~P1(f862(f862(f321(a1),x91731),x91733))+P1(f862(f862(f321(a1),f391(x91733,x91731,x91734,x91732)),f296(a1,f71(a1),x91734))) % 186.59/186.36 [9174]E(x91741,x91742)+~E(f862(f862(f3(a1),x91742),x91744),x91741)+~P1(f862(f862(f228(a1),f2(a1)),x91744))+~P1(f862(f862(f321(a1),x91741),x91743))+P1(f862(f862(f321(a1),f397(x91743,x91741,x91744,x91742)),f296(a1,f71(a1),x91744))) % 186.59/186.36 [9247]P1(f862(f862(f227(a924),x92471),f443(x92472,x92473,x92474,x92471)))+~P1(f862(f862(f227(a1),x92472),f862(x92473,x92474)))+P1(f862(f862(f227(a924),x92471),f444(x92472,x92473,x92474,x92471)))+~P1(f862(f862(f228(a924),x92471),x92474))+~P1(f862(f862(f227(a1),f862(x92473,x92471)),x92472)) % 186.59/186.36 [9363]E(f862(x93631,f443(x93632,x93631,x93633,x93634)),x93632)+~P1(f862(f862(f227(a1),x93632),f862(x93631,x93633)))+P1(f862(f862(f228(a924),f444(x93632,x93631,x93633,x93634)),x93633))+~P1(f862(f862(f228(a924),x93634),x93633))+~P1(f862(f862(f227(a1),f862(x93631,x93634)),x93632)) % 186.59/186.36 [9476]~P1(f862(f862(f278(a924),x94764),x94761))+~P1(f862(f862(f278(a924),x94764),x94763))+~P1(f862(f862(f278(a924),x94762),x94761))+P1(f862(f862(f278(a924),x94761),x94762))+P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x94763,x94762)),f281(a924,f278(a924),x94764,x94761))) % 186.59/186.36 [9477]~P1(f862(f862(f278(a924),x94772),x94771))+~P1(f862(f862(f278(a924),x94773),x94774))+~P1(f862(f862(f278(a924),x94772),x94774))+P1(f862(f862(f278(a924),x94771),x94772))+P1(f862(f862(f228(f932(a924,a921)),f281(a924,f278(a924),x94771,x94773)),f281(a924,f278(a924),x94772,x94774))) % 186.59/186.36 [9494]~P1(f862(f862(f227(a1),x94942),f862(x94943,x94944)))+P1(f862(f862(f227(a924),x94941),f444(x94942,x94943,x94944,x94941)))+P1(f862(f862(f227(a924),f443(x94942,x94943,x94944,x94941)),x94944))+~P1(f862(f862(f228(a924),x94941),x94944))+~P1(f862(f862(f227(a1),f862(x94943,x94941)),x94942)) % 186.59/186.36 [9495]~P1(f862(f862(f227(a1),x94952),f862(x94953,x94954)))+P1(f862(f862(f227(a924),x94951),f443(x94952,x94953,x94954,x94951)))+P1(f862(f862(f228(a924),f444(x94952,x94953,x94954,x94951)),x94954))+~P1(f862(f862(f228(a924),x94951),x94954))+~P1(f862(f862(f227(a1),f862(x94953,x94951)),x94952)) % 186.59/186.36 [9606]~P1(f862(f862(f227(a1),x96061),f862(x96062,x96063)))+P1(f862(f862(f228(a924),f444(x96061,x96062,x96063,x96064)),x96063))+~P1(f862(f862(f228(a924),x96064),x96063))+~P1(f862(f862(f227(a1),f862(x96062,x96064)),x96061))+P1(f862(f862(f227(a924),f443(x96061,x96062,x96063,x96064)),x96063)) % 186.59/186.36 [9698]E(x96981,f181(f932(x96982,a921)))+~P1(f862(f54(x96982),x96984))+~P1(f862(f54(x96982),x96981))+P1(f862(f862(f321(f931(f932(x96982,a921),f932(x96982,a921))),f862(f862(f244(f932(x96982,a921),f932(x96982,a921)),x96984),x96981)),f310(x96982,x96983)))+P1(f862(f862(f321(x96982),f559(x96983,x96981,x96984,x96982)),x96984)) % 186.59/186.36 [9699]E(x96991,f181(f932(x96992,a921)))+~P1(f862(f54(x96992),x96994))+~P1(f862(f54(x96992),x96991))+P1(f862(f862(f321(f931(f932(x96992,a921),f932(x96992,a921))),f862(f862(f244(f932(x96992,a921),f932(x96992,a921)),x96994),x96991)),f310(x96992,x96993)))+P1(f862(f862(f321(x96992),f617(x96993,x96991,x96994,x96992)),x96994)) % 186.59/186.36 [10375]E(f862(x103751,f443(x103752,x103751,x103753,x103754)),x103752)+~P1(f862(f862(f227(a1),x103752),f862(x103751,x103753)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x103751,f862(f862(f73(a924),f444(x103752,x103751,x103753,x103754)),f71(a924)))),f862(x103751,f444(x103752,x103751,x103753,x103754))))),f71(a1)))+~P1(f862(f862(f228(a924),x103754),x103753))+~P1(f862(f862(f227(a1),f862(x103751,x103754)),x103752)) % 186.59/186.36 [10376]~P1(f862(f862(f227(a1),x103762),f862(x103763,x103764)))+P1(f862(f862(f227(a924),x103761),f443(x103762,x103763,x103764,x103761)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x103763,f862(f862(f73(a924),f444(x103762,x103763,x103764,x103761)),f71(a924)))),f862(x103763,f444(x103762,x103763,x103764,x103761))))),f71(a1)))+~P1(f862(f862(f228(a924),x103761),x103764))+~P1(f862(f862(f227(a1),f862(x103763,x103761)),x103762)) % 186.59/186.36 [10377]~P1(f862(f862(f227(a1),x103771),f862(x103772,x103773)))+~P1(f862(f862(f227(a1),f862(f69(a1),f862(f862(f3(a1),f862(x103772,f862(f862(f73(a924),f444(x103771,x103772,x103773,x103774)),f71(a924)))),f862(x103772,f444(x103771,x103772,x103773,x103774))))),f71(a1)))+~P1(f862(f862(f228(a924),x103774),x103773))+~P1(f862(f862(f227(a1),f862(x103772,x103774)),x103771))+P1(f862(f862(f227(a924),f443(x103771,x103772,x103773,x103774)),x103773)) % 186.59/186.36 [7423]~P66(x74231)+P1(f862(f862(f228(x74231),x74232),f2(x74231)))+~P1(f862(f862(f227(x74231),x74233),f2(x74231)))+P1(f862(f862(f228(x74231),f2(x74231)),x74232))+P1(f862(f862(f227(x74231),x74233),f862(f862(f282(x74231),x74234),x74232))) % 186.59/186.36 [7424]~P66(x74241)+P1(f862(f862(f228(x74241),x74242),f2(x74241)))+~P1(f862(f862(f228(x74241),x74243),f2(x74241)))+P1(f862(f862(f228(x74241),f2(x74241)),x74242))+P1(f862(f862(f228(x74241),x74243),f862(f862(f282(x74241),x74244),x74242))) % 186.59/186.36 [7671]~P66(x76711)+P1(f862(f862(f227(x76711),x76712),f2(x76711)))+P1(f862(f862(f228(x76711),x76713),f2(x76711)))+P1(f862(f862(f228(x76711),f2(x76711)),x76713))+~P1(f862(f862(f227(x76711),x76712),f862(f862(f282(x76711),x76714),x76713))) % 186.59/186.36 [7672]~P66(x76721)+P1(f862(f862(f228(x76721),x76722),f2(x76721)))+P1(f862(f862(f228(x76721),x76723),f2(x76721)))+P1(f862(f862(f228(x76721),f2(x76721)),x76723))+~P1(f862(f862(f228(x76721),x76722),f862(f862(f282(x76721),x76724),x76723))) % 186.59/186.36 [7789]E(x77891,x77892)+~E(f862(f862(f157(x77893),x77894),x77891),f862(f862(f157(x77893),x77894),x77892))+~P1(f862(f130(x77893),x77894))+~P1(f862(f862(f228(a924),x77892),f862(f182(f925(x77893)),x77894)))+~P1(f862(f862(f228(a924),x77891),f862(f182(f925(x77893)),x77894))) % 186.59/186.36 [8156]~P66(x81561)+~P1(f862(f862(f227(x81561),x81563),f2(x81561)))+P1(f862(f862(f228(x81561),f2(x81561)),x81562))+~P1(f862(f862(f227(x81561),x81564),f862(f862(f74(x81561),x81563),x81562)))+P1(f862(f862(f227(x81561),x81563),f862(f862(f282(x81561),x81564),x81562))) % 186.59/186.36 [8157]~P66(x81571)+~P1(f862(f862(f228(x81571),x81573),f2(x81571)))+P1(f862(f862(f228(x81571),f2(x81571)),x81572))+~P1(f862(f862(f228(x81571),x81574),f862(f862(f74(x81571),x81573),x81572)))+P1(f862(f862(f228(x81571),x81573),f862(f862(f282(x81571),x81574),x81572))) % 186.59/186.36 [8158]~P66(x81581)+~P1(f862(f862(f228(x81581),x81582),f2(x81581)))+P1(f862(f862(f228(x81581),f2(x81581)),x81582))+~P1(f862(f862(f227(x81581),x81584),f862(f862(f74(x81581),x81583),x81582)))+P1(f862(f862(f227(x81581),x81583),f862(f862(f282(x81581),x81584),x81582))) % 186.59/186.36 [8159]~P66(x81591)+~P1(f862(f862(f228(x81591),x81592),f2(x81591)))+P1(f862(f862(f228(x81591),f2(x81591)),x81592))+~P1(f862(f862(f227(x81591),x81594),f862(f862(f282(x81591),x81593),x81592)))+P1(f862(f862(f227(x81591),x81593),f862(f862(f74(x81591),x81594),x81592))) % 186.59/186.36 [8160]~P66(x81601)+~P1(f862(f862(f228(x81601),x81602),f2(x81601)))+P1(f862(f862(f228(x81601),f2(x81601)),x81602))+~P1(f862(f862(f228(x81601),x81604),f862(f862(f74(x81601),x81603),x81602)))+P1(f862(f862(f228(x81601),x81603),f862(f862(f282(x81601),x81604),x81602))) % 186.59/186.36 [8161]~P66(x81611)+~P1(f862(f862(f228(x81611),x81612),f2(x81611)))+P1(f862(f862(f228(x81611),f2(x81611)),x81612))+~P1(f862(f862(f228(x81611),x81614),f862(f862(f282(x81611),x81613),x81612)))+P1(f862(f862(f228(x81611),x81613),f862(f862(f74(x81611),x81614),x81612))) % 186.59/186.36 [8304]~P109(x83041)+~P11(x83041,x83042)+~P1(f862(f862(f227(a924),x83043),x83044))+P1(f862(f862(f227(x83041),f862(f862(f157(x83041),x83042),x83043)),f862(f862(f157(x83041),x83042),x83044)))+~P1(f862(f862(f228(a924),x83044),f862(f182(f925(x83041)),x83042))) % 186.59/186.36 [8357]~P127(x83571)+~P1(f862(f862(f227(x83571),x83572),f71(x83571)))+~P1(f862(f862(f227(x83571),f2(x83571)),x83572))+~P1(f862(f862(f227(a924),x83574),x83573))+P1(f862(f862(f227(x83571),f862(f862(f236(x83571),x83572),x83573)),f862(f862(f236(x83571),x83572),x83574))) % 186.59/186.36 [8358]~P127(x83581)+~P1(f862(f862(f228(x83581),x83582),f71(x83581)))+~P1(f862(f862(f228(x83581),f2(x83581)),x83582))+~P1(f862(f862(f228(a924),x83584),x83583))+P1(f862(f862(f228(x83581),f862(f862(f236(x83581),x83582),x83583)),f862(f862(f236(x83581),x83582),x83584))) % 186.59/186.36 [8359]~P127(x83591)+~P1(f862(f862(f227(x83591),f2(x83591)),x83592))+~P1(f862(f862(f228(a924),f2(a924)),x83593))+~P1(f862(f862(f228(x83591),x83592),x83594))+P1(f862(f862(f228(x83591),f862(f862(f236(x83591),x83592),x83593)),f862(f862(f236(x83591),x83594),x83593))) % 186.59/186.36 [8378]~P109(x83781)+~P11(x83781,f862(f161(x83781),x83782))+~P1(f862(f862(f227(a924),x83784),x83783))+P1(f862(f862(f227(x83781),f862(f862(f157(x83781),x83782),x83783)),f862(f862(f157(x83781),x83782),x83784)))+~P1(f862(f862(f228(a924),x83783),f862(f182(f925(x83781)),x83782))) % 186.59/186.36 [8622]~P66(x86221)+~P1(f862(f862(f227(x86221),x86222),f2(x86221)))+~P1(f862(f862(f227(x86221),x86223),x86224))+~P1(f862(f862(f228(x86221),f2(x86221)),f862(f862(f74(x86221),x86223),x86224)))+P1(f862(f862(f227(x86221),f862(f862(f282(x86221),x86222),x86223)),f862(f862(f282(x86221),x86222),x86224))) % 186.59/186.36 [8623]~P67(x86231)+~P1(f862(f862(f228(x86231),x86232),f2(x86231)))+~P1(f862(f862(f228(x86231),x86233),x86234))+~P1(f862(f862(f228(x86231),f2(x86231)),f862(f862(f74(x86231),x86233),x86234)))+P1(f862(f862(f228(x86231),f862(f862(f282(x86231),x86232),x86233)),f862(f862(f282(x86231),x86232),x86234))) % 186.59/186.36 [8632]~P67(x86321)+~P1(f862(f862(f227(x86321),x86324),x86323))+~P1(f862(f862(f227(x86321),f2(x86321)),x86322))+~P1(f862(f862(f228(x86321),f2(x86321)),f862(f862(f74(x86321),x86323),x86324)))+P1(f862(f862(f227(x86321),f862(f862(f282(x86321),x86322),x86323)),f862(f862(f282(x86321),x86322),x86324))) % 186.59/186.36 [8633]~P67(x86331)+~P1(f862(f862(f228(x86331),x86334),x86333))+~P1(f862(f862(f228(x86331),f2(x86331)),x86332))+~P1(f862(f862(f228(x86331),f2(x86331)),f862(f862(f74(x86331),x86333),x86334)))+P1(f862(f862(f228(x86331),f862(f862(f282(x86331),x86332),x86333)),f862(f862(f282(x86331),x86332),x86334))) % 186.59/186.36 [8735]P1(f862(x87351,x87352))+~P1(f862(f54(x87354),x87352))+P1(f862(x87351,f893(x87351,x87353,x87352,x87354)))+~P1(f862(x87351,f181(f932(x87354,a921))))+~P1(f862(f862(f227(f932(x87354,a921)),x87352),x87353)) % 186.59/186.36 [8744]P1(f862(x87441,x87442))+P1(f862(f54(x87443),f893(x87441,x87444,x87442,x87443)))+~P1(f862(f54(x87443),x87442))+~P1(f862(x87441,f181(f932(x87443,a921))))+~P1(f862(f862(f227(f932(x87443,a921)),x87442),x87444)) % 186.59/186.36 [9014]E(f862(f862(f73(a1),f398(x90141,x90142,x90143,x90144)),f399(x90141,x90142,x90143,x90144)),x90144)+~P1(f862(f862(f228(a1),f2(a1)),x90143))+~P1(f862(f862(f228(a1),x90142),x90144))+~P1(f862(f862(f321(a1),x90142),x90141))+P1(f862(f862(f228(a1),x90142),f862(f862(f3(a1),x90144),x90143))) % 186.59/186.36 [9229]~P1(f862(f862(f228(a1),f2(a1)),x92293))+~P1(f862(f862(f228(a1),x92292),x92294))+~P1(f862(f862(f321(a1),x92292),x92291))+P1(f862(f862(f321(a1),f398(x92291,x92292,x92293,x92294)),x92291))+P1(f862(f862(f228(a1),x92292),f862(f862(f3(a1),x92294),x92293))) % 186.59/186.36 [9240]P1(f862(x92401,x92402))+~P1(f862(f54(x92403),x92402))+P1(f862(f862(f321(x92403),f898(x92401,x92404,x92402,x92403)),x92404))+~P1(f862(x92401,f181(f932(x92403,a921))))+~P1(f862(f862(f227(f932(x92403,a921)),x92402),x92404)) % 186.59/186.36 [9257]E(f862(f862(f73(a1),f380(x92571,x92572,x92573,x92574)),f381(x92571,x92572,x92573,x92574)),x92574)+~P1(f862(f862(f228(a1),f2(a1)),x92573))+~P1(f862(f862(f227(a1),x92572),x92574))+P1(f862(f862(f227(a1),x92572),f862(f862(f3(a1),x92574),x92573)))+~P1(f862(f862(f321(a1),f862(f862(f3(a1),x92572),f71(a1))),x92571)) % 186.59/186.36 [9312]~P1(f862(f862(f228(a1),f2(a1)),x93123))+~P1(f862(f862(f228(a1),x93121),x93122))+~P1(f862(f862(f321(a1),x93121),x93124))+P1(f862(f862(f321(a1),f399(x93124,x93121,x93123,x93122)),f296(a1,f71(a1),x93123)))+P1(f862(f862(f228(a1),x93121),f862(f862(f3(a1),x93122),x93123))) % 186.59/186.36 [9339]~P72(x93392)+~E(f784(x93393,x93394,x93391,x93392),f785(x93393,x93394,x93391,x93392))+~P1(f862(f54(x93391),f786(x93393,x93394,x93391,x93392)))+E(f862(f862(f8(f932(x93391,a921),x93392),f862(f8(x93391,x93392),x93393)),x93394),f862(f862(f8(x93391,x93392),x93393),f30(f932(x93391,a921),x93394)))+~P1(f862(f54(f932(x93391,a921)),x93394)) % 186.59/186.36 [9343]~P72(x93432)+~E(f862(x93433,f787(x93433,x93434,x93431,x93432)),f2(x93432))+~P1(f862(f54(x93431),f786(x93433,x93434,x93431,x93432)))+E(f862(f862(f8(f932(x93431,a921),x93432),f862(f8(x93431,x93432),x93433)),x93434),f862(f862(f8(x93431,x93432),x93433),f30(f932(x93431,a921),x93434)))+~P1(f862(f54(f932(x93431,a921)),x93434)) % 186.59/186.36 [9406]~P1(f862(f862(f228(a1),f2(a1)),x94063))+~P1(f862(f862(f227(a1),x94062),x94064))+P1(f862(f862(f321(a1),f380(x94061,x94062,x94063,x94064)),x94061))+P1(f862(f862(f227(a1),x94062),f862(f862(f3(a1),x94064),x94063)))+~P1(f862(f862(f321(a1),f862(f862(f3(a1),x94062),f71(a1))),x94061)) % 186.59/186.36 [9451]~P1(f862(f862(f228(a1),f2(a1)),x94513))+~P1(f862(f862(f227(a1),x94511),x94512))+P1(f862(f862(f321(a1),f381(x94514,x94511,x94513,x94512)),f296(a1,f71(a1),x94513)))+P1(f862(f862(f227(a1),x94511),f862(f862(f3(a1),x94512),x94513)))+~P1(f862(f862(f321(a1),f862(f862(f3(a1),x94511),f71(a1))),x94514)) % 186.59/186.36 [9472]~P72(x94722)+~E(f784(x94723,x94724,x94721,x94722),f785(x94723,x94724,x94721,x94722))+E(f862(f862(f8(f932(x94721,a921),x94722),f862(f8(x94721,x94722),x94723)),x94724),f862(f862(f8(x94721,x94722),x94723),f30(f932(x94721,a921),x94724)))+P1(f862(f862(f321(f932(x94721,a921)),f786(x94723,x94724,x94721,x94722)),x94724))+~P1(f862(f54(f932(x94721,a921)),x94724)) % 186.59/186.36 [9479]~P72(x94792)+~E(f862(x94793,f787(x94793,x94794,x94791,x94792)),f2(x94792))+E(f862(f862(f8(f932(x94791,a921),x94792),f862(f8(x94791,x94792),x94793)),x94794),f862(f862(f8(x94791,x94792),x94793),f30(f932(x94791,a921),x94794)))+P1(f862(f862(f321(f932(x94791,a921)),f786(x94793,x94794,x94791,x94792)),x94794))+~P1(f862(f54(f932(x94791,a921)),x94794)) % 186.59/186.36 [9583]~P72(x95832)+~P1(f862(f54(x95831),f786(x95833,x95834,x95831,x95832)))+E(f862(f862(f8(f932(x95831,a921),x95832),f862(f8(x95831,x95832),x95833)),x95834),f862(f862(f8(x95831,x95832),x95833),f30(f932(x95831,a921),x95834)))+P1(f862(f862(f321(f932(x95831,a921)),f785(x95833,x95834,x95831,x95832)),x95834))+~P1(f862(f54(f932(x95831,a921)),x95834)) % 186.59/186.36 [9584]~P72(x95842)+~P1(f862(f54(x95841),f786(x95843,x95844,x95841,x95842)))+E(f862(f862(f8(f932(x95841,a921),x95842),f862(f8(x95841,x95842),x95843)),x95844),f862(f862(f8(x95841,x95842),x95843),f30(f932(x95841,a921),x95844)))+P1(f862(f862(f321(f932(x95841,a921)),f784(x95843,x95844,x95841,x95842)),x95844))+~P1(f862(f54(f932(x95841,a921)),x95844)) % 186.59/186.36 [9664]~P72(x96642)+E(f862(f862(f8(f932(x96641,a921),x96642),f862(f8(x96641,x96642),x96643)),x96644),f862(f862(f8(x96641,x96642),x96643),f30(f932(x96641,a921),x96644)))+P1(f862(f862(f321(f932(x96641,a921)),f786(x96643,x96644,x96641,x96642)),x96644))+P1(f862(f862(f321(f932(x96641,a921)),f785(x96643,x96644,x96641,x96642)),x96644))+~P1(f862(f54(f932(x96641,a921)),x96644)) % 186.59/186.36 [9665]~P72(x96652)+E(f862(f862(f8(f932(x96651,a921),x96652),f862(f8(x96651,x96652),x96653)),x96654),f862(f862(f8(x96651,x96652),x96653),f30(f932(x96651,a921),x96654)))+P1(f862(f862(f321(f932(x96651,a921)),f786(x96653,x96654,x96651,x96652)),x96654))+P1(f862(f862(f321(f932(x96651,a921)),f784(x96653,x96654,x96651,x96652)),x96654))+~P1(f862(f54(f932(x96651,a921)),x96654)) % 186.59/186.36 [9684]~P72(x96842)+P1(f862(f862(f321(x96841),f787(x96843,x96844,x96841,x96842)),f785(x96843,x96844,x96841,x96842)))+~P1(f862(f54(x96841),f786(x96843,x96844,x96841,x96842)))+E(f862(f862(f8(f932(x96841,a921),x96842),f862(f8(x96841,x96842),x96843)),x96844),f862(f862(f8(x96841,x96842),x96843),f30(f932(x96841,a921),x96844)))+~P1(f862(f54(f932(x96841,a921)),x96844)) % 186.59/186.36 [9685]~P72(x96852)+P1(f862(f862(f321(x96851),f787(x96853,x96854,x96851,x96852)),f784(x96853,x96854,x96851,x96852)))+~P1(f862(f54(x96851),f786(x96853,x96854,x96851,x96852)))+E(f862(f862(f8(f932(x96851,a921),x96852),f862(f8(x96851,x96852),x96853)),x96854),f862(f862(f8(x96851,x96852),x96853),f30(f932(x96851,a921),x96854)))+~P1(f862(f54(f932(x96851,a921)),x96854)) % 186.59/186.36 [9702]P1(f862(x97021,x97022))+~P1(f862(f862(f321(x97023),f898(x97021,x97024,x97022,x97023)),f893(x97021,x97024,x97022,x97023)))+~P1(f862(f54(x97023),x97022))+~P1(f862(x97021,f181(f932(x97023,a921))))+~P1(f862(f862(f227(f932(x97023,a921)),x97022),x97024)) % 186.59/186.36 [9739]~P72(x97392)+P1(f862(f862(f321(x97391),f787(x97393,x97394,x97391,x97392)),f785(x97393,x97394,x97391,x97392)))+E(f862(f862(f8(f932(x97391,a921),x97392),f862(f8(x97391,x97392),x97393)),x97394),f862(f862(f8(x97391,x97392),x97393),f30(f932(x97391,a921),x97394)))+P1(f862(f862(f321(f932(x97391,a921)),f786(x97393,x97394,x97391,x97392)),x97394))+~P1(f862(f54(f932(x97391,a921)),x97394)) % 186.59/186.36 [9740]~P72(x97402)+P1(f862(f862(f321(x97401),f787(x97403,x97404,x97401,x97402)),f784(x97403,x97404,x97401,x97402)))+E(f862(f862(f8(f932(x97401,a921),x97402),f862(f8(x97401,x97402),x97403)),x97404),f862(f862(f8(x97401,x97402),x97403),f30(f932(x97401,a921),x97404)))+P1(f862(f862(f321(f932(x97401,a921)),f786(x97403,x97404,x97401,x97402)),x97404))+~P1(f862(f54(f932(x97401,a921)),x97404)) % 186.59/186.36 [9916]P1(f862(x99161,x99162))+~P1(f862(f54(x99163),x99162))+~P1(f862(x99161,f862(f862(f301(x99163),f898(x99161,x99164,x99162,x99163)),f893(x99161,x99164,x99162,x99163))))+~P1(f862(x99161,f181(f932(x99163,a921))))+~P1(f862(f862(f227(f932(x99163,a921)),x99162),x99164)) % 186.59/186.36 [7925]~P66(x79251)+P1(f862(f862(f228(x79251),x79252),f2(x79251)))+~P1(f862(f862(f227(x79251),f2(x79251)),x79254))+P1(f862(f862(f228(x79251),f2(x79251)),x79252))+P1(f862(f862(f227(x79251),f862(f862(f282(x79251),x79253),x79252)),x79254)) % 186.59/186.36 [7926]~P66(x79261)+P1(f862(f862(f228(x79261),x79262),f2(x79261)))+P1(f862(f862(f228(x79261),f2(x79261)),x79262))+~P1(f862(f862(f228(x79261),f2(x79261)),x79264))+P1(f862(f862(f228(x79261),f862(f862(f282(x79261),x79263),x79262)),x79264)) % 186.59/186.36 [8209]~P1(f862(f862(f227(a1),x82094),f2(a1)))+~E(x82092,f862(f862(f73(a1),f862(f862(f74(a1),x82091),x82093)),x82094))+P1(f862(f862(f228(a1),f2(a1)),x82091))+~P1(f862(f862(f228(a1),x82091),x82094))+P1(f862(f42(x82092,x82091),f862(f862(f244(a1,a1),x82093),x82094))) % 186.59/186.36 [8243]~P1(f862(x82431,x82434))+P1(f862(x82431,f407(x82432,x82431,x82433)))+~P1(f862(f862(f227(a1),f2(a1)),x82432))+~P1(f862(f862(f228(a1),f2(a1)),x82433))+P1(f862(x82431,f862(f862(f3(a1),x82434),f862(f862(f74(a1),x82432),x82433)))) % 186.59/186.36 [8244]~P1(f862(x82441,x82444))+P1(f862(x82441,f408(x82442,x82441,x82443)))+~P1(f862(f862(f227(a1),f2(a1)),x82442))+~P1(f862(f862(f228(a1),f2(a1)),x82443))+P1(f862(x82441,f862(f862(f73(a1),x82444),f862(f862(f74(a1),x82442),x82443)))) % 186.59/186.36 [8245]~P66(x82451)+P1(f862(f862(f228(x82451),x82452),f2(x82451)))+P1(f862(f862(f228(x82451),f2(x82451)),x82452))+P1(f862(f862(f227(x82451),f2(x82451)),x82453))+~P1(f862(f862(f227(x82451),f862(f862(f282(x82451),x82454),x82452)),x82453)) % 186.59/186.36 [8246]~P66(x82461)+P1(f862(f862(f228(x82461),x82462),f2(x82461)))+P1(f862(f862(f228(x82461),f2(x82461)),x82462))+P1(f862(f862(f228(x82461),f2(x82461)),x82463))+~P1(f862(f862(f228(x82461),f862(f862(f282(x82461),x82464),x82462)),x82463)) % 186.59/186.36 [8299]~E(x82991,f862(f862(f73(a1),f862(f862(f74(a1),x82992),x82993)),x82994))+~P1(f862(f862(f227(a1),f2(a1)),x82994))+~P1(f862(f862(f228(a1),f2(a1)),x82992))+~P1(f862(f862(f228(a1),x82994),x82992))+P1(f862(f42(x82991,x82992),f862(f862(f244(a1,a1),x82993),x82994))) % 186.59/186.36 [8417]~P66(x84171)+P1(f862(f862(f228(x84171),x84172),f2(x84171)))+~P1(f862(f862(f227(x84171),f2(x84171)),x84174))+~P1(f862(f862(f227(x84171),x84173),f862(f862(f74(x84171),x84174),x84172)))+P1(f862(f862(f227(x84171),f862(f862(f282(x84171),x84173),x84172)),x84174)) % 186.59/186.36 [8418]~P66(x84181)+P1(f862(f862(f228(x84181),x84182),f2(x84181)))+~P1(f862(f862(f228(x84181),f2(x84181)),x84184))+~P1(f862(f862(f228(x84181),x84183),f862(f862(f74(x84181),x84184),x84182)))+P1(f862(f862(f228(x84181),f862(f862(f282(x84181),x84183),x84182)),x84184)) % 186.59/186.36 [8502]~P66(x85021)+P1(f862(f862(f228(x85021),x85022),f2(x85021)))+~P1(f862(f862(f227(x85021),x85023),f2(x85021)))+P1(f862(f862(f227(x85021),x85023),f862(f862(f282(x85021),x85024),x85022)))+~P1(f862(f862(f227(x85021),f862(f862(f74(x85021),x85023),x85022)),x85024)) % 186.59/186.36 [8503]~P66(x85031)+P1(f862(f862(f228(x85031),x85032),f2(x85031)))+~P1(f862(f862(f228(x85031),x85033),f2(x85031)))+P1(f862(f862(f228(x85031),x85033),f862(f862(f282(x85031),x85034),x85032)))+~P1(f862(f862(f228(x85031),f862(f862(f74(x85031),x85033),x85032)),x85034)) % 186.59/186.36 [8655]~P66(x86551)+~P1(f862(f862(f228(x86551),x86552),f2(x86551)))+P1(f862(f862(f228(x86551),f2(x86551)),x86552))+~P1(f862(f862(f227(x86551),f862(f862(f282(x86551),x86554),x86552)),x86553))+P1(f862(f862(f227(x86551),f862(f862(f74(x86551),x86553),x86552)),x86554)) % 186.59/186.36 [8656]~P66(x86561)+~P1(f862(f862(f228(x86561),x86562),f2(x86561)))+P1(f862(f862(f228(x86561),f2(x86561)),x86562))+~P1(f862(f862(f227(x86561),f862(f862(f74(x86561),x86564),x86562)),x86563))+P1(f862(f862(f227(x86561),f862(f862(f282(x86561),x86563),x86562)),x86564)) % 186.59/186.36 [8657]~P66(x86571)+~P1(f862(f862(f228(x86571),x86572),f2(x86571)))+P1(f862(f862(f228(x86571),f2(x86571)),x86572))+~P1(f862(f862(f228(x86571),f862(f862(f282(x86571),x86574),x86572)),x86573))+P1(f862(f862(f228(x86571),f862(f862(f74(x86571),x86573),x86572)),x86574)) % 186.59/186.36 [8658]~P66(x86581)+~P1(f862(f862(f228(x86581),x86582),f2(x86581)))+P1(f862(f862(f228(x86581),f2(x86581)),x86582))+~P1(f862(f862(f228(x86581),f862(f862(f74(x86581),x86584),x86582)),x86583))+P1(f862(f862(f228(x86581),f862(f862(f282(x86581),x86583),x86582)),x86584)) % 186.59/186.36 [8674]~P66(x86741)+~P1(f862(f862(f227(x86741),f2(x86741)),x86744))+P1(f862(f862(f228(x86741),f2(x86741)),x86742))+~P1(f862(f862(f227(x86741),f862(f862(f74(x86741),x86744),x86742)),x86743))+P1(f862(f862(f227(x86741),f862(f862(f282(x86741),x86743),x86742)),x86744)) % 186.59/186.36 [8675]~P66(x86751)+~P1(f862(f862(f228(x86751),f2(x86751)),x86754))+P1(f862(f862(f228(x86751),f2(x86751)),x86752))+~P1(f862(f862(f228(x86751),f862(f862(f74(x86751),x86754),x86752)),x86753))+P1(f862(f862(f228(x86751),f862(f862(f282(x86751),x86753),x86752)),x86754)) % 186.59/186.36 [8753]~P66(x87531)+~P1(f862(f862(f228(x87531),x87534),f2(x87531)))+~P1(f862(f862(f227(x87531),x87533),f862(f862(f74(x87531),x87532),x87534)))+P1(f862(f862(f227(x87531),x87532),f862(f862(f282(x87531),x87533),x87534)))+~P1(f862(f862(f227(x87531),f862(f862(f74(x87531),x87532),x87534)),x87533)) % 186.59/186.36 [8754]~P66(x87541)+~P1(f862(f862(f227(x87541),x87542),f2(x87541)))+~P1(f862(f862(f227(x87541),x87543),f862(f862(f74(x87541),x87542),x87544)))+P1(f862(f862(f227(x87541),x87542),f862(f862(f282(x87541),x87543),x87544)))+~P1(f862(f862(f227(x87541),f862(f862(f74(x87541),x87542),x87544)),x87543)) % 186.59/186.36 [8755]~P66(x87551)+~P1(f862(f862(f228(x87551),x87554),f2(x87551)))+~P1(f862(f862(f228(x87551),x87553),f862(f862(f74(x87551),x87552),x87554)))+P1(f862(f862(f228(x87551),x87552),f862(f862(f282(x87551),x87553),x87554)))+~P1(f862(f862(f228(x87551),f862(f862(f74(x87551),x87552),x87554)),x87553)) % 186.59/186.36 [8756]~P66(x87561)+~P1(f862(f862(f228(x87561),x87562),f2(x87561)))+~P1(f862(f862(f228(x87561),x87563),f862(f862(f74(x87561),x87562),x87564)))+P1(f862(f862(f228(x87561),x87562),f862(f862(f282(x87561),x87563),x87564)))+~P1(f862(f862(f228(x87561),f862(f862(f74(x87561),x87562),x87564)),x87563)) % 186.59/186.36 [8878]~P66(x88781)+~P1(f862(f862(f228(x88781),x88783),f2(x88781)))+~P1(f862(f862(f227(x88781),x88782),f862(f862(f74(x88781),x88784),x88783)))+~P1(f862(f862(f227(x88781),f862(f862(f74(x88781),x88784),x88783)),x88782))+P1(f862(f862(f227(x88781),f862(f862(f282(x88781),x88782),x88783)),x88784)) % 186.59/186.36 [8879]~P66(x88791)+~P1(f862(f862(f228(x88791),x88793),f2(x88791)))+~P1(f862(f862(f228(x88791),x88792),f862(f862(f74(x88791),x88794),x88793)))+~P1(f862(f862(f228(x88791),f862(f862(f74(x88791),x88794),x88793)),x88792))+P1(f862(f862(f228(x88791),f862(f862(f282(x88791),x88792),x88793)),x88794)) % 186.59/186.36 [8897]~P66(x88971)+~P1(f862(f862(f227(x88971),f2(x88971)),x88974))+~P1(f862(f862(f227(x88971),x88972),f862(f862(f74(x88971),x88974),x88973)))+~P1(f862(f862(f227(x88971),f862(f862(f74(x88971),x88974),x88973)),x88972))+P1(f862(f862(f227(x88971),f862(f862(f282(x88971),x88972),x88973)),x88974)) % 186.59/186.36 [8898]~P66(x88981)+~P1(f862(f862(f228(x88981),f2(x88981)),x88984))+~P1(f862(f862(f228(x88981),x88982),f862(f862(f74(x88981),x88984),x88983)))+~P1(f862(f862(f228(x88981),f862(f862(f74(x88981),x88984),x88983)),x88982))+P1(f862(f862(f228(x88981),f862(f862(f282(x88981),x88982),x88983)),x88984)) % 186.59/186.36 [9083]E(f862(f862(f3(a1),f400(x90831,x90832,x90833,x90834)),f401(x90831,x90832,x90833,x90834)),x90834)+~P1(f862(f862(f228(a1),f2(a1)),x90833))+~P1(f862(f862(f321(a1),x90832),x90831))+~P1(f862(f862(f228(a1),x90834),x90832))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x90834),x90833)),x90832)) % 186.59/186.36 [9154]~P1(f862(x91541,x91542))+~P1(f862(f862(f227(a1),f2(a1)),x91543))+~P1(f862(f862(f228(a1),f2(a1)),x91544))+~P1(f862(x91541,f862(f862(f3(a1),f407(x91543,x91541,x91544)),x91544)))+P1(f862(x91541,f862(f862(f3(a1),x91542),f862(f862(f74(a1),x91543),x91544)))) % 186.59/186.36 [9155]~P1(f862(x91551,x91552))+~P1(f862(f862(f227(a1),f2(a1)),x91553))+~P1(f862(f862(f228(a1),f2(a1)),x91554))+~P1(f862(x91551,f862(f862(f73(a1),f408(x91553,x91551,x91554)),x91554)))+P1(f862(x91551,f862(f862(f73(a1),x91552),f862(f862(f74(a1),x91553),x91554)))) % 186.59/186.36 [9306]~P1(f862(f862(f228(a1),f2(a1)),x93063))+~P1(f862(f862(f321(a1),x93062),x93061))+~P1(f862(f862(f228(a1),x93064),x93062))+P1(f862(f862(f321(a1),f400(x93061,x93062,x93063,x93064)),x93061))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x93064),x93063)),x93062)) % 186.59/186.36 [9326]E(f862(f862(f3(a1),f382(x93261,x93262,x93263,x93264)),f383(x93261,x93262,x93263,x93264)),x93264)+~P1(f862(f862(f228(a1),f2(a1)),x93263))+~P1(f862(f862(f227(a1),x93264),x93262))+~P1(f862(f862(f321(a1),f862(f862(f73(a1),x93262),f71(a1))),x93261))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x93264),x93263)),x93262)) % 186.59/186.36 [9354]~P1(f862(f862(f228(a1),f2(a1)),x93542))+~P1(f862(f862(f321(a1),x93543),x93544))+~P1(f862(f862(f228(a1),x93541),x93543))+P1(f862(f862(f321(a1),f401(x93544,x93543,x93542,x93541)),f296(a1,f71(a1),x93542)))+P1(f862(f862(f228(a1),f862(f862(f73(a1),x93541),x93542)),x93543)) % 186.59/186.36 [9443]~P1(f862(f862(f228(a1),f2(a1)),x94433))+~P1(f862(f862(f227(a1),x94434),x94432))+P1(f862(f862(f321(a1),f382(x94431,x94432,x94433,x94434)),x94431))+~P1(f862(f862(f321(a1),f862(f862(f73(a1),x94432),f71(a1))),x94431))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x94434),x94433)),x94432)) % 186.59/186.36 [9490]~P1(f862(f862(f228(a1),f2(a1)),x94902))+~P1(f862(f862(f227(a1),x94901),x94903))+P1(f862(f862(f321(a1),f383(x94904,x94903,x94902,x94901)),f296(a1,f71(a1),x94902)))+~P1(f862(f862(f321(a1),f862(f862(f73(a1),x94903),f71(a1))),x94904))+P1(f862(f862(f227(a1),f862(f862(f73(a1),x94901),x94902)),x94903)) % 186.59/186.36 [9793]~P35(x97931,x97933)+~P24(x97931,x97934)+P35(x97931,f862(f862(f103(f932(f931(x97931,x97931),a921)),x97932),x97933))+~P1(f862(f862(f227(f932(f931(x97931,x97931),a921)),x97932),f862(f243(f932(f931(x97931,x97931),a921),f932(f931(x97931,x97931),a921)),x97934)))+~P1(f862(f862(f227(f932(f931(x97931,x97931),a921)),x97933),f862(f248(f932(f931(x97931,x97931),a921),f932(f931(x97931,x97931),a921)),x97934))) % 186.59/186.36 [10186]~P16(x101862,x101864,x101863)+E(x101861,f181(f932(x101862,a921)))+~P1(f862(f54(x101862),x101861))+P1(f862(f862(f321(x101862),f862(x101863,x101861)),x101861))+~P1(f862(f862(f321(x101862),f862(f862(x101864,f881(x101861,x101863,x101864,x101862)),f882(x101861,x101863,x101864,x101862))),f862(f862(f301(x101862),f881(x101861,x101863,x101864,x101862)),f862(f862(f301(x101862),f882(x101861,x101863,x101864,x101862)),f181(f932(x101862,a921)))))) % 186.59/186.36 [10111]~P110(x101112)+~P63(x101111)+~P1(f862(f862(f227(f932(x101111,x101112)),x101113),x101114))+P1(f862(f862(f228(f932(x101111,x101112)),x101113),x101114))+~P1(f862(f49(x101111),f862(f862(f10(a921,a921,x101111),a314),f862(f862(f20(x101111,x101112,a921),f862(f862(f10(x101112,f932(x101112,a921),x101111),a317),x101113)),x101114)))) % 186.59/186.36 [9708]~P52(x97081,x97081,x97084)+P1(f862(f862(f321(f931(x97081,x97081)),f862(f862(f244(x97081,x97081),x97082),x97083)),f299(x97081,x97084)))+P1(f862(f862(f321(f931(x97081,x97081)),f862(f862(f244(x97081,x97081),x97083),x97082)),f299(x97081,x97084)))+~P1(f862(f862(f321(f931(x97081,x97081)),f862(f862(f244(x97081,x97081),x97085),x97082)),f299(x97081,x97084)))+~P1(f862(f862(f321(f931(x97081,x97081)),f862(f862(f244(x97081,x97081),x97085),x97083)),f299(x97081,x97084))) % 186.59/186.36 [5800]E(x58001,f2(a924))+~E(f862(f28(x58002),x58005),x58001)+E(f862(f28(x58002),x58003),f862(a105,x58001))+~E(x58003,f862(f862(f301(x58002),x58004),x58005))+P1(f862(f862(f321(x58002),x58004),x58005)) % 186.59/186.36 [5922]~P65(x59222)+E(x59221,f2(x59222))+E(x59223,f2(x59222))+~E(f862(f862(f282(x59222),x59224),x59223),f862(f862(f282(x59222),x59225),x59221))+E(f862(f862(f74(x59222),x59224),x59221),f862(f862(f74(x59222),x59225),x59223)) % 186.59/186.36 [5923]~P65(x59232)+E(x59231,f2(x59232))+E(x59233,f2(x59232))+~E(f862(f862(f74(x59232),x59234),x59233),f862(f862(f74(x59232),x59235),x59231))+E(f862(f862(f282(x59232),x59234),x59231),f862(f862(f282(x59232),x59235),x59233)) % 186.59/186.36 [5992]~E(f862(f28(x59921),x59925),x59923)+~E(x59925,f181(f932(x59921,a921)))+E(f862(f28(x59921),x59922),f862(a105,x59923))+~E(x59922,f862(f862(f301(x59921),x59924),x59925))+P1(f862(f862(f321(x59921),x59924),x59925)) % 186.59/186.36 [6233]~P119(x62332)+~E(f862(x62333,x62335),f2(x62332))+E(f862(f862(f11(x62331,x62332),x62333),x62334),f2(x62332))+~P1(f862(f54(x62331),x62334))+~P1(f862(f862(f321(x62331),x62335),x62334)) % 186.59/186.36 [6613]~P109(x66133)+E(x66131,x66132)+~E(f862(f295(x66133,x66134),x66131),f862(f295(x66133,x66135),x66132))+~P1(f862(f862(f228(x66133),x66135),x66132))+~P1(f862(f862(f228(x66133),x66134),x66131)) % 186.59/186.36 [6614]~P109(x66143)+E(x66141,x66142)+~E(f862(f295(x66143,x66141),x66144),f862(f295(x66143,x66142),x66145))+~P1(f862(f862(f228(x66143),x66142),x66145))+~P1(f862(f862(f228(x66143),x66141),x66144)) % 186.59/186.36 [7689]~P109(x76891)+~P11(x76891,f862(f862(f127(x76891),x76894),x76895))+~P1(f862(f862(f321(x76891),x76893),f862(f165(x76891),x76895)))+~P1(f862(f862(f321(x76891),x76892),f862(f165(x76891),x76894)))+P1(f862(f862(f227(x76891),x76892),x76893)) % 186.59/186.36 [8790]~P110(x87901)+~P1(f862(f862(f228(f932(x87901,a921)),f296(x87901,x87905,x87902)),f296(x87901,x87904,x87903)))+~P1(f862(f862(f227(x87901),x87905),x87902))+P1(f862(f862(f228(x87901),x87902),x87903))+P1(f862(f862(f228(x87901),x87904),x87905)) % 186.59/186.36 [10230]~P15(x102302,x102305,x102303)+E(x102301,f181(f932(x102302,a921)))+~E(f862(f862(x102305,f862(x102304,f899(x102301,x102304,x102303,x102305,x102302))),f862(x102304,f900(x102301,x102304,x102303,x102305,x102302))),f862(x102304,f862(f862(x102305,f899(x102301,x102304,x102303,x102305,x102302)),f900(x102301,x102304,x102303,x102305,x102302))))+E(f862(x102303,f862(f302(x102302,x102302,x102304),x102301)),f862(x102304,f862(x102303,x102301)))+~P1(f862(f54(x102302),x102301)) % 186.59/186.36 [6610]~P16(x66102,x66105,x66103)+E(x66101,f181(f932(x66102,a921)))+~P1(f862(f54(x66102),x66101))+E(f862(x66103,f862(f862(f301(x66102),x66104),x66101)),f862(f862(x66105,x66104),f862(x66103,x66101)))+P1(f862(f862(f321(x66102),x66104),x66101)) % 186.59/186.36 [7452]~P15(x74522,x74523,x74524)+E(f862(f862(x74523,f862(x74524,x74521)),f862(x74524,x74525)),f862(x74524,x74525))+E(x74521,f181(f932(x74522,a921)))+~P1(f862(f54(x74522),x74525))+~P1(f862(f862(f227(f932(x74522,a921)),x74521),x74525)) % 186.59/186.36 [7824]~P16(x78244,x78245,x78241)+E(f862(x78241,x78242),x78243)+~P1(f862(f54(x78244),x78242))+~E(f862(f862(f3(f932(x78244,a921)),x78242),f862(f862(f301(x78244),x78243),f181(f932(x78244,a921)))),f181(f932(x78244,a921)))+~P1(f862(f862(f321(x78244),x78243),x78242)) % 186.59/186.36 [8710]~P71(x87101)+~P120(x87101)+~P1(f862(f54(x87102),x87105))+P1(f862(f862(f278(x87101),f862(f862(f11(x87102,x87101),x87103),x87104)),f862(f862(f11(x87102,x87101),x87103),x87105)))+~P1(f862(f862(f227(f932(x87102,a921)),x87104),x87105)) % 186.59/186.36 [8760]E(x87601,x87602)+~P6(x87603,x87604,x87605)+E(f862(f862(f94(f932(x87603,a921)),x87601),x87602),f181(f932(x87603,a921)))+~P1(f862(f862(f321(f932(x87603,a921)),x87602),f862(f862(f53(x87603),x87604),x87605)))+~P1(f862(f862(f321(f932(x87603,a921)),x87601),f862(f862(f53(x87603),x87604),x87605))) % 186.59/186.36 [9576]~P72(x95762)+~E(f862(x95763,f365(x95763,x95764,x95765,x95761,x95762)),f2(x95762))+E(f862(f862(f8(x95761,x95762),x95763),x95764),f862(f862(f8(x95761,x95762),x95763),x95765))+~P1(f862(f54(x95761),x95765))+~P1(f862(f862(f227(f932(x95761,a921)),x95764),x95765)) % 186.59/186.36 [9577]~P72(x95772)+~E(f862(x95773,f366(x95773,x95774,x95775,x95771,x95772)),f2(x95772))+E(f862(f862(f8(x95771,x95772),x95773),x95774),f862(f862(f8(x95771,x95772),x95773),x95775))+~P1(f862(f54(x95771),x95775))+~P1(f862(f862(f227(f932(x95771,a921)),x95774),x95775)) % 186.59/186.36 [9578]~P71(x95782)+~E(f862(x95783,f916(x95783,x95784,x95785,x95781,x95782)),f71(x95782))+E(f862(f862(f11(x95781,x95782),x95783),x95784),f862(f862(f11(x95781,x95782),x95783),x95785))+~P1(f862(f54(x95781),x95785))+~P1(f862(f862(f227(f932(x95781,a921)),x95784),x95785)) % 186.59/186.36 [9579]~P71(x95792)+~E(f862(x95793,f330(x95793,x95794,x95795,x95791,x95792)),f71(x95792))+E(f862(f862(f11(x95791,x95792),x95793),x95794),f862(f862(f11(x95791,x95792),x95793),x95795))+~P1(f862(f54(x95791),x95795))+~P1(f862(f862(f227(f932(x95791,a921)),x95794),x95795)) % 186.59/186.36 [10061]~P87(x100611)+~P1(f862(f54(x100612),x100615))+~P1(f862(f862(f227(x100611),f2(x100611)),f862(x100613,f355(x100613,x100614,x100615,x100612,x100611))))+P1(f862(f862(f227(x100611),f862(f862(f8(x100612,x100611),x100613),x100614)),f862(f862(f8(x100612,x100611),x100613),x100615)))+~P1(f862(f862(f227(f932(x100612,a921)),x100614),x100615)) % 186.59/186.36 [7686]E(x76861,f2(a924))+P1(f862(x76862,x76863))+~E(x76864,f862(f862(f73(a924),f862(f862(f74(a924),x76861),x76863)),x76865))+~P1(f862(f862(f228(a924),x76865),x76861))+~P1(f862(x76862,f862(f862(f29(a924),x76864),x76861))) % 186.59/186.36 [7762]E(x77621,f2(a924))+P1(f862(x77622,x77623))+~P1(f862(x77622,f38(a924,x77624,x77621)))+~E(x77624,f862(f862(f73(a924),f862(f862(f74(a924),x77621),x77625)),x77623))+~P1(f862(f862(f228(a924),x77623),x77621)) % 186.59/186.36 [8055]~P65(x80553)+E(f862(x80551,x80552),f2(x80553))+~P1(f862(f54(x80554),x80555))+E(f862(f862(f11(x80554,x80553),x80551),f862(f862(f3(f932(x80554,a921)),x80555),f862(f862(f301(x80554),x80552),f181(f932(x80554,a921))))),f862(f862(f11(x80554,x80553),x80551),x80555))+P1(f862(f862(f321(x80554),x80552),x80555)) % 186.59/186.36 [8457]~P72(x84571)+~P1(f862(f54(x84572),x84575))+~P1(f862(f54(x84572),x84574))+~E(f862(f862(f94(f932(x84572,a921)),x84574),x84575),f181(f932(x84572,a921)))+E(f862(f862(f73(x84571),f862(f862(f8(x84572,x84571),x84573),x84574)),f862(f862(f8(x84572,x84571),x84573),x84575)),f862(f862(f8(x84572,x84571),x84573),f862(f862(f103(f932(x84572,a921)),x84574),x84575))) % 186.59/186.36 [8459]~P71(x84591)+~P1(f862(f54(x84592),x84595))+~P1(f862(f54(x84592),x84594))+~E(f862(f862(f94(f932(x84592,a921)),x84594),x84595),f181(f932(x84592,a921)))+E(f862(f862(f74(x84591),f862(f862(f11(x84592,x84591),x84593),x84594)),f862(f862(f11(x84592,x84591),x84593),x84595)),f862(f862(f11(x84592,x84591),x84593),f862(f862(f103(f932(x84592,a921)),x84594),x84595))) % 186.59/186.36 [8557]~P65(x85573)+E(f862(x85571,x85572),f2(x85573))+~P1(f862(f54(x85574),x85575))+E(f862(f862(f11(x85574,x85573),x85571),f862(f862(f3(f932(x85574,a921)),x85575),f862(f862(f301(x85574),x85572),f181(f932(x85574,a921))))),f862(f862(f282(x85573),f862(f862(f11(x85574,x85573),x85571),x85575)),f862(x85571,x85572)))+~P1(f862(f862(f321(x85574),x85572),x85575)) % 186.59/186.36 [9282]~P6(x92821,x92825,x92824)+~E(f862(f862(f53(x92821),f862(f862(f301(x92821),x92822),f181(f932(x92821,a921)))),x92824),f862(f862(f53(x92821),f862(f862(f301(x92821),x92823),f181(f932(x92821,a921)))),x92824))+~P1(f862(f862(f321(x92821),x92823),x92825))+~P1(f862(f862(f321(x92821),x92822),x92825))+P1(f862(f862(f321(f931(x92821,x92821)),f862(f862(f244(x92821,x92821),x92822),x92823)),x92824)) % 186.59/186.36 [9305]~P6(x93051,x93055,x93053)+E(f862(f862(f53(x93051),f862(f862(f301(x93051),x93052),f181(f932(x93051,a921)))),x93053),f862(f862(f53(x93051),f862(f862(f301(x93051),x93054),f181(f932(x93051,a921)))),x93053))+~P1(f862(f862(f321(x93051),x93054),x93055))+~P1(f862(f862(f321(x93051),x93052),x93055))+~P1(f862(f862(f321(f931(x93051,x93051)),f862(f862(f244(x93051,x93051),x93052),x93054)),x93053)) % 186.59/186.36 [9605]~P71(x96051)+~P1(f862(f54(x96052),x96055))+~P1(f862(f54(x96052),x96054))+~E(f862(f862(f94(f932(x96052,a921)),x96054),x96055),f181(f932(x96052,a921)))+E(f862(f862(f74(x96051),f862(f862(f862(f58(x96051,x96052,f74(x96051)),x96053),f71(x96051)),x96054)),f862(f862(f862(f58(x96051,x96052,f74(x96051)),x96053),f71(x96051)),x96055)),f862(f862(f862(f58(x96051,x96052,f74(x96051)),x96053),f71(x96051)),f862(f862(f103(f932(x96052,a921)),x96054),x96055))) % 186.59/186.36 [9616]~P72(x96161)+~E(f862(x96163,f353(x96163,x96165,x96164,x96162,x96161)),f2(x96161))+~P1(f862(f54(x96162),x96164))+~P1(f862(f54(x96162),x96165))+E(f862(f862(f73(x96161),f862(f862(f8(x96162,x96161),x96163),x96164)),f862(f862(f8(x96162,x96161),x96163),x96165)),f862(f862(f8(x96162,x96161),x96163),f862(f862(f103(f932(x96162,a921)),x96164),x96165))) % 186.59/186.36 [9617]~P72(x96171)+~E(f862(x96173,f356(x96173,x96175,x96174,x96172,x96171)),f2(x96171))+~P1(f862(f54(x96172),x96174))+~P1(f862(f54(x96172),x96175))+E(f862(f862(f73(x96171),f862(f862(f8(x96172,x96171),x96173),x96174)),f862(f862(f8(x96172,x96171),x96173),x96175)),f862(f862(f8(x96172,x96171),x96173),f862(f862(f103(f932(x96172,a921)),x96174),x96175))) % 186.59/186.36 [9618]~P71(x96181)+~E(f862(x96183,f917(x96183,x96185,x96184,x96182,x96181)),f71(x96181))+~P1(f862(f54(x96182),x96184))+~P1(f862(f54(x96182),x96185))+E(f862(f862(f74(x96181),f862(f862(f11(x96182,x96181),x96183),x96184)),f862(f862(f11(x96182,x96181),x96183),x96185)),f862(f862(f11(x96182,x96181),x96183),f862(f862(f103(f932(x96182,a921)),x96184),x96185))) % 186.59/186.36 [9619]~P71(x96191)+~E(f862(x96193,f918(x96193,x96195,x96194,x96192,x96191)),f71(x96191))+~P1(f862(f54(x96192),x96194))+~P1(f862(f54(x96192),x96195))+E(f862(f862(f74(x96191),f862(f862(f11(x96192,x96191),x96193),x96194)),f862(f862(f11(x96192,x96191),x96193),x96195)),f862(f862(f11(x96192,x96191),x96193),f862(f862(f103(f932(x96192,a921)),x96194),x96195))) % 186.59/186.36 [9836]~P71(x98361)+~E(f862(x98363,f354(x98363,x98365,x98364,x98362,x98361)),f71(x98361))+~P1(f862(f54(x98362),x98364))+~P1(f862(f54(x98362),x98365))+E(f862(f862(f74(x98361),f862(f862(f862(f58(x98361,x98362,f74(x98361)),x98363),f71(x98361)),x98364)),f862(f862(f862(f58(x98361,x98362,f74(x98361)),x98363),f71(x98361)),x98365)),f862(f862(f862(f58(x98361,x98362,f74(x98361)),x98363),f71(x98361)),f862(f862(f103(f932(x98362,a921)),x98364),x98365))) % 186.59/186.36 [9947]~P72(x99472)+E(f862(f862(f8(x99471,x99472),x99473),x99474),f862(f862(f8(x99471,x99472),x99473),x99475))+~P1(f862(f54(x99471),x99475))+~P1(f862(f862(f227(f932(x99471,a921)),x99474),x99475))+P1(f862(f862(f321(x99471),f365(x99473,x99474,x99475,x99471,x99472)),f862(f862(f3(f932(x99471,a921)),x99475),x99474))) % 186.59/186.36 [9948]~P72(x99482)+E(f862(f862(f8(x99481,x99482),x99483),x99484),f862(f862(f8(x99481,x99482),x99483),x99485))+~P1(f862(f54(x99481),x99485))+~P1(f862(f862(f227(f932(x99481,a921)),x99484),x99485))+P1(f862(f862(f321(x99481),f366(x99483,x99484,x99485,x99481,x99482)),f862(f862(f3(f932(x99481,a921)),x99485),x99484))) % 186.59/186.36 [9949]~P71(x99492)+E(f862(f862(f11(x99491,x99492),x99493),x99494),f862(f862(f11(x99491,x99492),x99493),x99495))+~P1(f862(f54(x99491),x99495))+~P1(f862(f862(f227(f932(x99491,a921)),x99494),x99495))+P1(f862(f862(f321(x99491),f916(x99493,x99494,x99495,x99491,x99492)),f862(f862(f3(f932(x99491,a921)),x99495),x99494))) % 186.59/186.36 [9950]~P71(x99502)+E(f862(f862(f11(x99501,x99502),x99503),x99504),f862(f862(f11(x99501,x99502),x99503),x99505))+~P1(f862(f54(x99501),x99505))+~P1(f862(f862(f227(f932(x99501,a921)),x99504),x99505))+P1(f862(f862(f321(x99501),f330(x99503,x99504,x99505,x99501,x99502)),f862(f862(f3(f932(x99501,a921)),x99505),x99504))) % 186.59/186.36 [9968]~P72(x99681)+~P1(f862(f54(x99682),x99684))+~P1(f862(f54(x99682),x99685))+E(f862(f862(f73(x99681),f862(f862(f8(x99682,x99681),x99683),x99684)),f862(f862(f8(x99682,x99681),x99683),x99685)),f862(f862(f8(x99682,x99681),x99683),f862(f862(f103(f932(x99682,a921)),x99684),x99685)))+P1(f862(f862(f321(x99682),f353(x99683,x99685,x99684,x99682,x99681)),f862(f862(f94(f932(x99682,a921)),x99684),x99685))) % 186.59/186.36 [9969]~P72(x99691)+~P1(f862(f54(x99692),x99694))+~P1(f862(f54(x99692),x99695))+E(f862(f862(f73(x99691),f862(f862(f8(x99692,x99691),x99693),x99694)),f862(f862(f8(x99692,x99691),x99693),x99695)),f862(f862(f8(x99692,x99691),x99693),f862(f862(f103(f932(x99692,a921)),x99694),x99695)))+P1(f862(f862(f321(x99692),f356(x99693,x99695,x99694,x99692,x99691)),f862(f862(f94(f932(x99692,a921)),x99694),x99695))) % 186.59/186.36 [9970]~P71(x99701)+~P1(f862(f54(x99702),x99704))+~P1(f862(f54(x99702),x99705))+E(f862(f862(f74(x99701),f862(f862(f11(x99702,x99701),x99703),x99704)),f862(f862(f11(x99702,x99701),x99703),x99705)),f862(f862(f11(x99702,x99701),x99703),f862(f862(f103(f932(x99702,a921)),x99704),x99705)))+P1(f862(f862(f321(x99702),f917(x99703,x99705,x99704,x99702,x99701)),f862(f862(f94(f932(x99702,a921)),x99704),x99705))) % 186.59/186.36 [9971]~P71(x99711)+~P1(f862(f54(x99712),x99714))+~P1(f862(f54(x99712),x99715))+E(f862(f862(f74(x99711),f862(f862(f11(x99712,x99711),x99713),x99714)),f862(f862(f11(x99712,x99711),x99713),x99715)),f862(f862(f11(x99712,x99711),x99713),f862(f862(f103(f932(x99712,a921)),x99714),x99715)))+P1(f862(f862(f321(x99712),f918(x99713,x99715,x99714,x99712,x99711)),f862(f862(f94(f932(x99712,a921)),x99714),x99715))) % 186.59/186.36 [9978]~P87(x99785)+~P1(f862(f54(x99781),x99784))+P1(f862(f862(f227(x99785),f862(f862(f8(x99781,x99785),x99782),x99783)),f862(f862(f8(x99781,x99785),x99782),x99784)))+~P1(f862(f862(f227(f932(x99781,a921)),x99783),x99784))+P1(f862(f862(f321(x99781),f355(x99782,x99783,x99784,x99781,x99785)),f862(f862(f3(f932(x99781,a921)),x99784),x99783))) % 186.59/186.36 [10023]~P71(x100231)+~P1(f862(f54(x100232),x100234))+~P1(f862(f54(x100232),x100235))+E(f862(f862(f74(x100231),f862(f862(f862(f58(x100231,x100232,f74(x100231)),x100233),f71(x100231)),x100234)),f862(f862(f862(f58(x100231,x100232,f74(x100231)),x100233),f71(x100231)),x100235)),f862(f862(f862(f58(x100231,x100232,f74(x100231)),x100233),f71(x100231)),f862(f862(f103(f932(x100232,a921)),x100234),x100235)))+P1(f862(f862(f321(x100232),f354(x100233,x100235,x100234,x100232,x100231)),f862(f862(f94(f932(x100232,a921)),x100234),x100235))) % 186.59/186.36 [8970]~P16(x89701,x89704,x89705)+~P1(f862(f54(x89701),x89702))+E(f862(f862(f3(f932(x89701,a921)),x89702),f862(f862(f301(x89701),x89703),f181(f932(x89701,a921)))),f181(f932(x89701,a921)))+~P1(f862(f862(f321(x89701),x89703),x89702))+E(f862(f862(x89704,x89703),f862(x89705,f862(f862(f3(f932(x89701,a921)),x89702),f862(f862(f301(x89701),x89703),f181(f932(x89701,a921)))))),f862(x89705,x89702)) % 186.59/186.36 [9050]~P16(x90501,x90504,x90505)+~P1(f862(f54(x90501),x90503))+~P1(f862(f54(x90501),x90502))+E(f862(f862(f94(f932(x90501,a921)),x90502),x90503),f181(f932(x90501,a921)))+E(f862(f862(x90504,f862(x90505,f862(f862(f103(f932(x90501,a921)),x90502),x90503))),f862(x90505,f862(f862(f94(f932(x90501,a921)),x90502),x90503))),f862(f862(x90504,f862(x90505,x90502)),f862(x90505,x90503))) % 186.59/186.36 [9621]~P1(f862(f862(f227(a1),x96214),f2(a1)))+~P1(f862(f862(f228(a1),x96213),x96215))+P1(f862(f862(f227(a1),x96211),x96212))+~P1(f862(f862(f228(a1),x96213),x96214))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),f862(f862(f74(a1),x96213),x96212)),x96215)),f862(f862(f73(a1),f862(f862(f74(a1),x96213),x96211)),x96214))) % 186.59/186.36 [9623]~P1(f862(f862(f227(a1),f2(a1)),x96235))+P1(f862(f862(f227(a1),x96231),x96232))+~P1(f862(f862(f228(a1),x96233),x96234))+~P1(f862(f862(f228(a1),x96235),x96234))+~P1(f862(f862(f227(a1),f862(f862(f73(a1),f862(f862(f74(a1),x96234),x96231)),x96235)),f862(f862(f73(a1),f862(f862(f74(a1),x96234),x96232)),x96233))) % 186.59/186.36 [9745]~P65(x97455)+E(f862(x97451,f367(x97451,x97452,x97453,x97454,x97455)),f2(x97455))+~P1(f862(f54(x97454),x97453))+~P1(f862(f54(x97454),x97452))+E(f862(f862(f282(x97455),f862(f862(f74(x97455),f862(f862(f11(x97454,x97455),x97451),x97453)),f862(f862(f11(x97454,x97455),x97451),x97452))),f862(f862(f11(x97454,x97455),x97451),f862(f862(f94(f932(x97454,a921)),x97453),x97452))),f862(f862(f11(x97454,x97455),x97451),f862(f862(f103(f932(x97454,a921)),x97453),x97452))) % 186.59/186.36 [10015]~P65(x100151)+~P1(f862(f54(x100152),x100154))+~P1(f862(f54(x100152),x100155))+E(f862(f862(f282(x100151),f862(f862(f74(x100151),f862(f862(f11(x100152,x100151),x100153),x100154)),f862(f862(f11(x100152,x100151),x100153),x100155))),f862(f862(f11(x100152,x100151),x100153),f862(f862(f94(f932(x100152,a921)),x100154),x100155))),f862(f862(f11(x100152,x100151),x100153),f862(f862(f103(f932(x100152,a921)),x100154),x100155)))+P1(f862(f862(f321(x100152),f367(x100153,x100155,x100154,x100152,x100151)),f862(f862(f94(f932(x100152,a921)),x100154),x100155))) % 186.59/186.36 [9325]E(f862(f862(f127(x93251),x93252),x93253),f862(f862(f127(x93251),x93254),x93255))+~E(f862(f862(f168(x93251),f862(f182(f925(x93251)),x93254)),x93252),x93254)+~E(f862(f862(f168(x93251),f862(f182(f925(x93251)),x93252)),x93254),x93252)+~E(x93255,f862(f862(f127(x93251),f862(f862(f131(x93251),f862(f182(f925(x93251)),x93254)),x93252)),x93253))+~E(f862(f862(f127(x93251),f862(f862(f131(x93251),f862(f182(f925(x93251)),x93252)),x93254)),x93255),x93253) % 186.59/186.36 [9743]~P109(x97432)+E(f862(f862(f141(x97431,x97432,x97433),x97434),f163(x97431,x97434,x97435)),x97435)+~P11(x97432,f862(f862(f147(x97431,x97432),x97433),x97435))+~P1(f862(f862(f321(x97431),x97434),f862(f165(x97431),x97435)))+~E(f862(f134(x97431),f862(f129(x97431,f862(f862(f10(x97432,a921,x97431),f862(a317,f862(x97433,x97434))),x97433)),x97435)),x97434) % 186.59/186.36 [10079]~P69(x100791)+~P1(f862(f59(x100791,x100791,f74(x100791),x100792,x100793),x100795))+~P1(f862(f862(f321(x100791),x100794),x100793))+P1(f862(f862(f321(x100791),x100792),x100793))+P1(f862(f59(x100791,x100791,f74(x100791),x100794,f862(f862(f301(x100791),x100792),f862(f862(f3(f932(x100791,a921)),x100793),f862(f862(f301(x100791),x100794),f181(f932(x100791,a921)))))),x100795)) % 186.59/186.36 [7460]E(x74601,x74602)+~P22(x74604,x74605,x74603,x74606)+~E(f862(x74603,x74601),f862(x74603,x74602))+~P1(f862(f862(f321(x74604),x74602),x74606))+~P1(f862(f862(f321(x74604),x74601),x74606)) % 186.59/186.36 [6704]~P144(x67044)+E(x67041,x67042)+~E(x67045,x67046)+E(x67043,f2(x67044))+~E(f862(f862(f73(x67044),x67045),f862(f862(f74(x67044),x67043),x67041)),f862(f862(f73(x67044),x67046),f862(f862(f74(x67044),x67043),x67042))) % 186.59/186.36 [7741]~P3(x77411)+~P109(x77411)+~P1(f862(f862(f228(x77411),x77412),f862(x77415,x77416)))+~P1(f862(f862(f321(x77413),x77416),x77414))+P1(f862(f862(f228(x77411),x77412),f862(f862(f33(x77413,x77411),x77414),x77415))) % 186.59/186.36 [10075]~P22(x100752,x100751,x100753,x100754)+~P22(x100751,x100752,x100756,x100755)+P23(x100751,x100752,f830(x100753,x100754,x100755,x100756,x100752,x100751),x100755,x100754)+~P1(f862(f862(f227(f932(x100752,a921)),f862(f302(x100751,x100752,x100756),x100755)),x100754))+~P1(f862(f862(f227(f932(x100751,a921)),f862(f302(x100752,x100751,x100753),x100754)),x100755)) % 186.59/186.36 [8428]~P3(x84281)+~P109(x84281)+~P1(f862(f862(f228(x84281),f862(x84284,x84286)),x84285))+~P1(f862(f862(f321(x84282),x84286),x84283))+P1(f862(f862(f228(x84281),f862(f862(f32(x84282,x84281),x84283),x84284)),x84285)) % 186.59/186.36 [8681]~P17(x86812,x86815,x86816,x86811)+~P1(f862(f54(x86812),x86814))+~P1(f862(f54(x86812),x86813))+~E(f862(f862(f94(f932(x86812,a921)),x86813),x86814),f181(f932(x86812,a921)))+E(f862(x86811,f862(f862(f103(f932(x86812,a921)),x86813),x86814)),f862(f66(x86815,x86815,x86815,f862(x86811,x86813)),f862(x86811,x86814))) % 186.59/186.36 [10292]~P71(x102921)+~E(f819(x102924,x102925,x102923,x102926,x102922,x102921),f820(x102924,x102925,x102923,x102926,x102922,x102921))+~P1(f862(f54(x102922),x102926))+E(f862(f862(f862(f58(x102921,x102922,f74(x102921)),f862(f862(f10(f932(x102923,a921),x102921,x102922),f862(f862(f58(x102921,x102923,f74(x102921)),x102924),f71(x102921))),x102925)),f71(x102921)),x102926),f862(f862(f862(f58(x102921,x102923,f74(x102921)),x102924),f71(x102921)),f862(f862(f33(x102922,f932(x102923,a921)),x102926),x102925)))+P1(f862(f862(f321(x102922),f818(x102924,x102925,x102923,x102926,x102922,x102921)),x102926)) % 186.59/186.36 [10322]~P71(x103221)+~E(f819(x103224,x103225,x103223,x103226,x103222,x103221),f820(x103224,x103225,x103223,x103226,x103222,x103221))+~P1(f862(f54(x103222),x103226))+E(f862(f862(f862(f58(x103221,x103222,f74(x103221)),f862(f862(f10(f932(x103223,a921),x103221,x103222),f862(f862(f58(x103221,x103223,f74(x103221)),x103224),f71(x103221))),x103225)),f71(x103221)),x103226),f862(f862(f862(f58(x103221,x103223,f74(x103221)),x103224),f71(x103221)),f862(f862(f33(x103222,f932(x103223,a921)),x103226),x103225)))+~P1(f862(f54(x103223),f862(x103225,f818(x103224,x103225,x103223,x103226,x103222,x103221)))) % 186.59/186.36 [10325]~P71(x103251)+~P1(f862(f54(x103252),x103256))+E(f862(f862(f862(f58(x103251,x103252,f74(x103251)),f862(f862(f10(f932(x103253,a921),x103251,x103252),f862(f862(f58(x103251,x103253,f74(x103251)),x103254),f71(x103251))),x103255)),f71(x103251)),x103256),f862(f862(f862(f58(x103251,x103253,f74(x103251)),x103254),f71(x103251)),f862(f862(f33(x103252,f932(x103253,a921)),x103256),x103255)))+P1(f862(f862(f321(x103252),f818(x103254,x103255,x103253,x103256,x103252,x103251)),x103256))+P1(f862(f862(f321(x103252),f820(x103254,x103255,x103253,x103256,x103252,x103251)),x103256)) % 186.59/186.36 [10326]~P71(x103261)+~P1(f862(f54(x103262),x103266))+E(f862(f862(f862(f58(x103261,x103262,f74(x103261)),f862(f862(f10(f932(x103263,a921),x103261,x103262),f862(f862(f58(x103261,x103263,f74(x103261)),x103264),f71(x103261))),x103265)),f71(x103261)),x103266),f862(f862(f862(f58(x103261,x103263,f74(x103261)),x103264),f71(x103261)),f862(f862(f33(x103262,f932(x103263,a921)),x103266),x103265)))+P1(f862(f862(f321(x103262),f818(x103264,x103265,x103263,x103266,x103262,x103261)),x103266))+P1(f862(f862(f321(x103262),f819(x103264,x103265,x103263,x103266,x103262,x103261)),x103266)) % 186.59/186.36 [10343]~P71(x103431)+~P1(f862(f54(x103432),x103436))+E(f862(f862(f862(f58(x103431,x103432,f74(x103431)),f862(f862(f10(f932(x103433,a921),x103431,x103432),f862(f862(f58(x103431,x103433,f74(x103431)),x103434),f71(x103431))),x103435)),f71(x103431)),x103436),f862(f862(f862(f58(x103431,x103433,f74(x103431)),x103434),f71(x103431)),f862(f862(f33(x103432,f932(x103433,a921)),x103436),x103435)))+P1(f862(f862(f321(x103432),f820(x103434,x103435,x103433,x103436,x103432,x103431)),x103436))+~P1(f862(f54(x103433),f862(x103435,f818(x103434,x103435,x103433,x103436,x103432,x103431)))) % 186.59/186.36 [10344]~P71(x103441)+~P1(f862(f54(x103442),x103446))+E(f862(f862(f862(f58(x103441,x103442,f74(x103441)),f862(f862(f10(f932(x103443,a921),x103441,x103442),f862(f862(f58(x103441,x103443,f74(x103441)),x103444),f71(x103441))),x103445)),f71(x103441)),x103446),f862(f862(f862(f58(x103441,x103443,f74(x103441)),x103444),f71(x103441)),f862(f862(f33(x103442,f932(x103443,a921)),x103446),x103445)))+P1(f862(f862(f321(x103442),f819(x103444,x103445,x103443,x103446,x103442,x103441)),x103446))+~P1(f862(f54(x103443),f862(x103445,f818(x103444,x103445,x103443,x103446,x103442,x103441)))) % 186.59/186.36 [10355]~P71(x103551)+~E(f862(f862(f94(f932(x103553,a921)),f862(x103555,f820(x103554,x103555,x103553,x103556,x103552,x103551))),f862(x103555,f819(x103554,x103555,x103553,x103556,x103552,x103551))),f181(f932(x103553,a921)))+~P1(f862(f54(x103552),x103556))+E(f862(f862(f862(f58(x103551,x103552,f74(x103551)),f862(f862(f10(f932(x103553,a921),x103551,x103552),f862(f862(f58(x103551,x103553,f74(x103551)),x103554),f71(x103551))),x103555)),f71(x103551)),x103556),f862(f862(f862(f58(x103551,x103553,f74(x103551)),x103554),f71(x103551)),f862(f862(f33(x103552,f932(x103553,a921)),x103556),x103555)))+P1(f862(f862(f321(x103552),f818(x103554,x103555,x103553,x103556,x103552,x103551)),x103556)) % 186.59/186.36 [10366]~P71(x103661)+~E(f862(f862(f94(f932(x103663,a921)),f862(x103665,f820(x103664,x103665,x103663,x103666,x103662,x103661))),f862(x103665,f819(x103664,x103665,x103663,x103666,x103662,x103661))),f181(f932(x103663,a921)))+~P1(f862(f54(x103662),x103666))+E(f862(f862(f862(f58(x103661,x103662,f74(x103661)),f862(f862(f10(f932(x103663,a921),x103661,x103662),f862(f862(f58(x103661,x103663,f74(x103661)),x103664),f71(x103661))),x103665)),f71(x103661)),x103666),f862(f862(f862(f58(x103661,x103663,f74(x103661)),x103664),f71(x103661)),f862(f862(f33(x103662,f932(x103663,a921)),x103666),x103665)))+~P1(f862(f54(x103663),f862(x103665,f818(x103664,x103665,x103663,x103666,x103662,x103661)))) % 186.59/186.36 [9414]~P120(x94141)+~P118(x94141)+~P1(f862(f862(f278(x94141),x94142),x94145))+~P1(f862(f862(f278(x94141),x94142),f862(f862(f73(x94141),x94143),x94146)))+P1(f862(f862(f278(x94141),x94142),f862(f862(f73(x94141),f862(f862(f3(x94141),x94143),f862(f862(f74(x94141),x94144),x94145))),x94146))) % 186.59/186.36 [9610]~P120(x96101)+~P118(x96101)+~P1(f862(f862(f278(x96101),x96102),x96105))+P1(f862(f862(f278(x96101),x96102),f862(f862(f73(x96101),x96103),x96104)))+~P1(f862(f862(f278(x96101),x96102),f862(f862(f73(x96101),f862(f862(f3(x96101),x96103),f862(f862(f74(x96101),x96106),x96105))),x96104))) % 186.59/186.36 [9018]E(x90181,x90182)+~P54(x90184,x90185,x90186,x90183,x90187)+~E(f862(x90183,x90181),f862(x90183,x90182))+~P1(f862(f862(f321(x90185),x90182),x90187))+~P1(f862(f862(f321(x90185),x90181),x90187)) % 186.59/186.36 [10333]~P1(f862(x103332,x103334))+~E(x103335,f862(f129(x103331,x103332),x103337))+E(f862(f129(x103331,x103332),x103333),f862(f862(f144(x103331),x103334),x103335))+~E(x103333,f862(f862(f127(x103331),x103336),f862(f862(f144(x103331),x103334),x103337)))+P1(f862(x103332,f755(x103335,x103334,x103333,x103332,x103331,x103336,x103337))) % 186.59/186.36 [10334]~P1(f862(x103344,x103342))+~E(x103343,f862(f129(x103341,x103344),x103347))+E(f862(f862(f144(x103341),x103342),x103343),f862(f129(x103341,x103344),x103345))+~E(x103345,f862(f862(f127(x103341),x103346),f862(f862(f144(x103341),x103342),x103347)))+P1(f862(x103344,f754(x103345,x103344,x103343,x103342,x103341,x103346,x103347))) % 186.59/186.36 [10378]~P1(f862(x103782,x103784))+~E(x103785,f862(f129(x103781,x103782),x103787))+E(f862(f129(x103781,x103782),x103783),f862(f862(f144(x103781),x103784),x103785))+~E(x103783,f862(f862(f127(x103781),x103786),f862(f862(f144(x103781),x103784),x103787)))+P1(f862(f862(f321(x103781),f755(x103785,x103784,x103783,x103782,x103781,x103786,x103787)),f862(f165(x103781),x103786))) % 186.59/186.36 [10379]~P1(f862(x103794,x103792))+~E(x103793,f862(f129(x103791,x103794),x103797))+E(f862(f862(f144(x103791),x103792),x103793),f862(f129(x103791,x103794),x103795))+~E(x103795,f862(f862(f127(x103791),x103796),f862(f862(f144(x103791),x103792),x103797)))+P1(f862(f862(f321(x103791),f754(x103795,x103794,x103793,x103792,x103791,x103796,x103797)),f862(f165(x103791),x103796))) % 186.59/186.36 [10383]~P6(x103831,x103837,x103836)+~P9(x103831,f932(x103835,a921),x103836,x103834)+P1(f862(f862(f321(x103831),f532(x103832,x103833,x103834,x103835,x103836,x103837,x103831)),x103837))+~P1(f862(f862(f321(f932(x103831,a921)),x103833),f862(f862(f53(x103831),x103837),x103836)))+P1(f862(f862(f321(f932(x103835,a921)),f862(f862(f33(x103831,f932(x103835,a921)),x103833),x103834)),x103832)) % 186.59/186.36 [10438]~P6(x104382,x104386,x104387)+~P9(x104382,f932(x104381,a921),x104387,x104384)+~P1(f862(f862(f321(f932(x104382,a921)),x104383),f862(f862(f53(x104382),x104386),x104387)))+~P1(f862(f862(f321(f932(x104381,a921)),f862(x104384,f532(x104385,x104383,x104384,x104381,x104387,x104386,x104382))),x104385))+P1(f862(f862(f321(f932(x104381,a921)),f862(f862(f33(x104382,f932(x104381,a921)),x104383),x104384)),x104385)) % 186.59/186.36 [8600]~P71(x86002)+~P22(x86001,x86005,x86008,x86004)+~E(x86003,f862(f66(x86005,x86002,x86001,x86006),x86008))+~E(x86007,f862(f302(x86001,x86005,x86008),x86004))+E(f862(f862(f11(x86001,x86002),x86003),x86004),f862(f862(f11(x86005,x86002),x86006),x86007)) % 186.59/186.36 [10442]~P71(x104422)+~P22(x104425,x104421,x104428,x104427)+~E(f862(x104426,f605(x104423,x104426,x104424,x104427,x104428,x104421,x104425,x104422)),f862(f862(f66(x104421,x104422,x104425,x104423),x104428),f605(x104423,x104426,x104424,x104427,x104428,x104421,x104425,x104422)))+~E(x104424,f862(f302(x104425,x104421,x104428),x104427))+E(f862(f862(f11(x104421,x104422),x104423),x104424),f862(f862(f11(x104425,x104422),x104426),x104427)) % 186.59/186.36 [10445]~P72(x104452)+~P22(x104451,x104455,x104458,x104454)+~E(x104457,f862(f302(x104451,x104455,x104458),x104454))+E(f862(f862(f8(x104451,x104452),x104453),x104454),f862(f862(f8(x104455,x104452),x104456),x104457))+P1(f862(f862(f321(x104451),f619(x104456,x104453,x104457,x104454,x104458,x104455,x104451,x104452)),x104454)) % 186.59/186.36 [10446]~P71(x104462)+~P22(x104461,x104465,x104468,x104464)+~E(x104467,f862(f302(x104461,x104465,x104468),x104464))+E(f862(f862(f11(x104461,x104462),x104463),x104464),f862(f862(f11(x104465,x104462),x104466),x104467))+P1(f862(f862(f321(x104461),f605(x104466,x104463,x104467,x104464,x104468,x104465,x104461,x104462)),x104464)) % 186.59/186.36 [10451]~P72(x104512)+~P22(x104515,x104511,x104518,x104517)+~E(x104514,f862(f302(x104515,x104511,x104518),x104517))+~E(f862(x104516,f619(x104513,x104516,x104514,x104517,x104518,x104511,x104515,x104512)),f862(x104513,f862(x104518,f619(x104513,x104516,x104514,x104517,x104518,x104511,x104515,x104512))))+E(f862(f862(f8(x104511,x104512),x104513),x104514),f862(f862(f8(x104515,x104512),x104516),x104517)) % 186.59/186.36 [9910]~P21(x99106,x99102,x99105,x99107,x99108,x99101)+~P1(f862(f54(x99102),x99104))+~P1(f862(f54(x99102),x99103))+~E(f862(f862(f94(f932(x99102,a921)),x99103),x99104),f181(f932(x99102,a921)))+E(f862(x99101,f862(f862(f103(f932(x99102,a921)),x99103),x99104)),f862(f862(x99105,f862(x99101,x99103)),f862(x99101,x99104))) % 186.59/186.36 [10319]~P21(x103198,x103192,x103195,x103197,x103196,x103191)+~E(f862(x103196,f908(x103194,x103193,x103191,x103196,x103197,x103195,x103192)),x103197)+~P1(f862(f54(x103192),x103193))+~P1(f862(f54(x103192),x103194))+E(f862(x103191,f862(f862(f103(f932(x103192,a921)),x103193),x103194)),f862(f862(x103195,f862(x103191,x103193)),f862(x103191,x103194))) % 186.59/186.36 [10390]~P21(x103908,x103902,x103905,x103907,x103906,x103901)+~P1(f862(f54(x103902),x103903))+~P1(f862(f54(x103902),x103904))+E(f862(x103901,f862(f862(f103(f932(x103902,a921)),x103903),x103904)),f862(f862(x103905,f862(x103901,x103903)),f862(x103901,x103904)))+P1(f862(f862(f321(x103902),f908(x103904,x103903,x103901,x103906,x103907,x103905,x103902)),f862(f862(f94(f932(x103902,a921)),x103903),x103904))) % 186.59/186.36 [10066]~P6(x100664,x100668,x100665)+~P6(x100661,x100669,x100663)+~P10(x100661,x100664,f932(x100662,a921),x100663,x100665,x100667)+P9(x100661,f932(x100662,a921),x100663,f862(f862(f10(f932(x100664,f932(x100662,a921)),f932(x100662,a921),x100661),f862(f33(x100664,f932(x100662,a921)),f862(f276(x100664,x100664,x100665),f862(f862(f301(x100664),x100666),f181(f932(x100664,a921)))))),x100667))+~P1(f862(f862(f321(x100664),x100666),x100668)) % 186.59/186.36 [5597]~P109(x55973)+~P11(x55973,x55971)+E(x55971,f731(x55972,x55973))+~E(f862(f165(x55973),x55971),x55972)+~P1(f862(f54(x55973),x55972))+~P1(f862(f130(x55973),x55971)) % 186.59/186.36 [7451]P13(x74511,x74512)+~E(f862(x74512,f811(x74512)),f862(x74512,f813(x74512)))+~P1(f862(f862(x74512,f811(x74512)),f811(x74512)))+~P1(f862(f862(x74512,f811(x74512)),f813(x74512)))+~P1(f862(f862(x74512,f813(x74512)),f813(x74512)))+~P1(f862(f862(x74512,x74513),x74513)) % 186.59/186.36 [5222]~P133(x52222)+~P134(x52222)+~P145(x52222)+~P116(x52222)+E(x52221,f2(x52222))+~E(f862(f862(f236(x52222),x52221),x52223),f2(x52222)) % 186.59/186.36 [5223]~P133(x52232)+~P134(x52232)+~P145(x52232)+~P116(x52232)+~E(x52231,f2(a924))+~E(f862(f862(f236(x52232),x52233),x52231),f2(x52232)) % 186.59/186.36 [6686]~P87(x66861)+~E(x66863,f2(x66861))+~E(x66862,f2(x66861))+E(f862(f862(f73(x66861),x66862),x66863),f2(x66861))+~P1(f862(f862(f227(x66861),f2(x66861)),x66863))+~P1(f862(f862(f227(x66861),f2(x66861)),x66862)) % 186.59/186.36 [9088]~E(f862(f243(a924,a924),x90883),f2(a924))+~E(x90881,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x90883)),x90882)),f862(f248(a924,a924),x90883)))+P1(f862(f41(x90881,x90882),x90883))+~P1(f862(f862(f227(a924),f862(f248(a924,a924),x90883)),f2(a924)))+P1(f862(f862(f228(a924),f2(a924)),x90882))+~P1(f862(f862(f228(a924),x90882),f862(f248(a924,a924),x90883))) % 186.59/186.36 [9096]E(x90961,f2(a924))+~E(x90962,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x90963)),x90961)),f862(f248(a924,a924),x90963)))+P1(f862(f41(x90962,x90961),x90963))+~P1(f862(f862(f228(a924),f2(a924)),x90961))+~P1(f862(f862(f227(a924),f2(a924)),f862(f248(a924,a924),x90963)))+~P1(f862(f862(f228(a924),f862(f248(a924,a924),x90963)),x90961)) % 186.59/186.36 [9114]~E(f862(f243(a924,a924),x91143),f2(a924))+~E(x91141,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x91143)),x91142)),f862(f248(a924,a924),x91143)))+P1(f862(f41(x91141,x91142),x91143))+~P1(f862(f862(f228(a924),f2(a924)),x91142))+~P1(f862(f862(f227(a924),f2(a924)),f862(f248(a924,a924),x91143)))+~P1(f862(f862(f228(a924),f862(f248(a924,a924),x91143)),x91142)) % 186.59/186.36 [7075]~P93(x70752)+E(x70751,f181(f932(x70752,a921)))+E(x70753,f181(f932(x70752,a921)))+~P1(f862(f54(x70752),x70751))+~P1(f862(f54(x70752),x70753))+E(f12(x70752,f862(f862(f103(f932(x70752,a921)),x70753),x70751)),f862(f862(f94(x70752),f12(x70752,x70753)),f12(x70752,x70751))) % 186.59/186.36 [7076]~P93(x70762)+E(x70761,f181(f932(x70762,a921)))+E(x70763,f181(f932(x70762,a921)))+~P1(f862(f54(x70762),x70761))+~P1(f862(f54(x70762),x70763))+E(f15(x70762,f862(f862(f103(f932(x70762,a921)),x70763),x70761)),f862(f862(f103(x70762),f15(x70762,x70763)),f15(x70762,x70761))) % 186.59/186.36 [7077]~P109(x70772)+E(x70771,f181(f932(x70772,a921)))+E(x70773,f181(f932(x70772,a921)))+~P1(f862(f54(x70772),x70771))+~P1(f862(f54(x70772),x70773))+E(f16(x70772,f862(f862(f103(f932(x70772,a921)),x70773),x70771)),f862(f862(f225(x70772),f16(x70772,x70773)),f16(x70772,x70771))) % 186.59/186.36 [7078]~P109(x70782)+E(x70781,f181(f932(x70782,a921)))+E(x70783,f181(f932(x70782,a921)))+~P1(f862(f54(x70782),x70781))+~P1(f862(f54(x70782),x70783))+E(f17(x70782,f862(f862(f103(f932(x70782,a921)),x70783),x70781)),f862(f862(f226(x70782),f17(x70782,x70783)),f17(x70782,x70781))) % 186.59/186.36 [7716]~P100(x77162)+E(x77161,f181(f932(x77162,a921)))+E(x77163,f181(f932(x77162,a921)))+~P1(f862(f54(x77162),x77161))+~P1(f862(f54(x77162),x77163))+E(f862(f862(f74(x77162),f862(f56(x77162,f74(x77162)),x77163)),f862(f56(x77162,f74(x77162)),x77161)),f862(f56(x77162,f74(x77162)),f862(f862(f103(f932(x77162,a921)),x77163),x77161))) % 186.59/186.36 [7878]~P109(x78782)+E(x78781,f181(f932(x78782,a921)))+E(x78783,f181(f932(x78782,a921)))+~P1(f862(f54(x78782),x78781))+~P1(f862(f54(x78782),x78783))+E(f862(f862(f225(x78782),f13(x78782,f225(x78782),x78783)),f13(x78782,f225(x78782),x78781)),f13(x78782,f225(x78782),f862(f862(f103(f932(x78782,a921)),x78783),x78781))) % 186.59/186.36 [7879]~P109(x78792)+E(x78791,f181(f932(x78792,a921)))+E(x78793,f181(f932(x78792,a921)))+~P1(f862(f54(x78792),x78791))+~P1(f862(f54(x78792),x78793))+E(f862(f862(f226(x78792),f14(x78792,f226(x78792),x78793)),f14(x78792,f226(x78792),x78791)),f14(x78792,f226(x78792),f862(f862(f103(f932(x78792,a921)),x78793),x78791))) % 186.59/186.36 [8919]~P1(f862(x89191,x89193))+P1(f862(x89191,f392(x89191,x89192)))+P1(f862(x89191,f387(x89191,x89192)))+~P1(f862(f862(f228(a1),f2(a1)),x89192))+~P1(f862(f862(f321(a1),x89193),f296(a1,f71(a1),x89192)))+P1(f862(x89191,f862(f862(f3(a1),f387(x89191,x89192)),f862(f862(f74(a1),f389(x89191,x89192)),x89192)))) % 186.59/186.36 [9222]~P1(f862(x92221,x92223))+~P1(f862(x92221,f387(x92221,x92222)))+P1(f862(x92221,f392(x92221,x92222)))+~P1(f862(f862(f228(a1),f2(a1)),x92222))+~P1(f862(f862(f321(a1),x92223),f296(a1,f71(a1),x92222)))+~P1(f862(x92221,f862(f862(f3(a1),f387(x92221,x92222)),f862(f862(f74(a1),f389(x92221,x92222)),x92222)))) % 186.59/186.36 [10478]~P102(x104782)+E(x104781,f181(f932(x104782,a921)))+E(x104783,f181(f932(x104782,a921)))+~P1(f862(f54(x104782),x104781))+~P1(f862(f54(x104782),x104783))+E(f12(x104782,f862(f254(x104782),f862(f862(f10(f932(x104782,a921),a921,x104782),f80(x104782)),f862(f862(f10(f932(x104782,f932(x104782,a921)),f932(x104782,a921),x104782),f862(f10(f932(x104782,a921),a921,x104782),f80(x104782))),f862(f862(f9(x104782,f932(x104782,f932(x104782,a921)),f932(x104782,f932(x104782,a921))),f862(f862(f10(f932(x104782,f932(f932(x104782,a921),f932(x104782,a921))),f932(f932(x104782,f932(x104782,a921)),f932(x104782,f932(x104782,a921))),x104782),f20(x104782,f932(x104782,a921),f932(x104782,a921))),f862(f862(f10(f932(x104782,f932(x104782,f932(a921,a921))),f932(x104782,f932(f932(x104782,a921),f932(x104782,a921))),x104782),f862(f10(f932(x104782,f932(a921,a921)),f932(f932(x104782,a921),f932(x104782,a921)),x104782),f20(x104782,a921,a921))),f862(f862(f10(f932(x104782,f932(x104782,a921)),f932(x104782,f932(x104782,f932(a921,a921))),x104782),f862(f10(f932(x104782,a921),f932(x104782,f932(a921,a921)),x104782),f862(f10(a921,f932(a921,a921),x104782),a318))),f862(f862(f9(x104782,f932(x104782,f932(x104782,x104782)),f932(x104782,f932(x104782,a921))),f862(f862(f10(f932(f932(x104782,x104782),f932(x104782,a921)),f932(f932(x104782,f932(x104782,x104782)),f932(x104782,f932(x104782,a921))),x104782),f10(f932(x104782,x104782),f932(x104782,a921),x104782)),f862(f862(f10(f932(x104782,a921),f932(f932(x104782,x104782),f932(x104782,a921)),x104782),f10(x104782,a921,x104782)),a317))),f103(x104782)))))),f862(f862(f9(x104782,f932(x104782,a921),f932(x104782,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x104782,a921),f932(x104782,a921)),x104782),f10(a921,a921,x104782)),f862(f862(f10(a921,f932(a921,a921),x104782),a318),f862(f862(f9(x104782,f932(x104782,a921),a921),f321(x104782)),x104783)))),f862(f862(f9(x104782,f932(x104782,a921),a921),f321(x104782)),x104781))))))),f862(f862(f103(x104782),f12(x104782,x104783)),f12(x104782,x104781))) % 186.59/186.36 [10479]~P102(x104792)+E(x104791,f181(f932(x104792,a921)))+E(x104793,f181(f932(x104792,a921)))+~P1(f862(f54(x104792),x104791))+~P1(f862(f54(x104792),x104793))+E(f15(x104792,f862(f254(x104792),f862(f862(f10(f932(x104792,a921),a921,x104792),f80(x104792)),f862(f862(f10(f932(x104792,f932(x104792,a921)),f932(x104792,a921),x104792),f862(f10(f932(x104792,a921),a921,x104792),f80(x104792))),f862(f862(f9(x104792,f932(x104792,f932(x104792,a921)),f932(x104792,f932(x104792,a921))),f862(f862(f10(f932(x104792,f932(f932(x104792,a921),f932(x104792,a921))),f932(f932(x104792,f932(x104792,a921)),f932(x104792,f932(x104792,a921))),x104792),f20(x104792,f932(x104792,a921),f932(x104792,a921))),f862(f862(f10(f932(x104792,f932(x104792,f932(a921,a921))),f932(x104792,f932(f932(x104792,a921),f932(x104792,a921))),x104792),f862(f10(f932(x104792,f932(a921,a921)),f932(f932(x104792,a921),f932(x104792,a921)),x104792),f20(x104792,a921,a921))),f862(f862(f10(f932(x104792,f932(x104792,a921)),f932(x104792,f932(x104792,f932(a921,a921))),x104792),f862(f10(f932(x104792,a921),f932(x104792,f932(a921,a921)),x104792),f862(f10(a921,f932(a921,a921),x104792),a318))),f862(f862(f9(x104792,f932(x104792,f932(x104792,x104792)),f932(x104792,f932(x104792,a921))),f862(f862(f10(f932(f932(x104792,x104792),f932(x104792,a921)),f932(f932(x104792,f932(x104792,x104792)),f932(x104792,f932(x104792,a921))),x104792),f10(f932(x104792,x104792),f932(x104792,a921),x104792)),f862(f862(f10(f932(x104792,a921),f932(f932(x104792,x104792),f932(x104792,a921)),x104792),f10(x104792,a921,x104792)),a317))),f94(x104792)))))),f862(f862(f9(x104792,f932(x104792,a921),f932(x104792,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x104792,a921),f932(x104792,a921)),x104792),f10(a921,a921,x104792)),f862(f862(f10(a921,f932(a921,a921),x104792),a318),f862(f862(f9(x104792,f932(x104792,a921),a921),f321(x104792)),x104793)))),f862(f862(f9(x104792,f932(x104792,a921),a921),f321(x104792)),x104791))))))),f862(f862(f94(x104792),f15(x104792,x104793)),f15(x104792,x104791))) % 186.59/186.36 [10480]~P109(x104802)+E(x104801,f181(f932(x104802,a921)))+E(x104803,f181(f932(x104802,a921)))+~P1(f862(f54(x104802),x104801))+~P1(f862(f54(x104802),x104803))+E(f14(x104802,f226(x104802),f862(f254(x104802),f862(f862(f10(f932(x104802,a921),a921,x104802),f80(x104802)),f862(f862(f10(f932(x104802,f932(x104802,a921)),f932(x104802,a921),x104802),f862(f10(f932(x104802,a921),a921,x104802),f80(x104802))),f862(f862(f9(x104802,f932(x104802,f932(x104802,a921)),f932(x104802,f932(x104802,a921))),f862(f862(f10(f932(x104802,f932(f932(x104802,a921),f932(x104802,a921))),f932(f932(x104802,f932(x104802,a921)),f932(x104802,f932(x104802,a921))),x104802),f20(x104802,f932(x104802,a921),f932(x104802,a921))),f862(f862(f10(f932(x104802,f932(x104802,f932(a921,a921))),f932(x104802,f932(f932(x104802,a921),f932(x104802,a921))),x104802),f862(f10(f932(x104802,f932(a921,a921)),f932(f932(x104802,a921),f932(x104802,a921)),x104802),f20(x104802,a921,a921))),f862(f862(f10(f932(x104802,f932(x104802,a921)),f932(x104802,f932(x104802,f932(a921,a921))),x104802),f862(f10(f932(x104802,a921),f932(x104802,f932(a921,a921)),x104802),f862(f10(a921,f932(a921,a921),x104802),a318))),f862(f862(f9(x104802,f932(x104802,f932(x104802,x104802)),f932(x104802,f932(x104802,a921))),f862(f862(f10(f932(f932(x104802,x104802),f932(x104802,a921)),f932(f932(x104802,f932(x104802,x104802)),f932(x104802,f932(x104802,a921))),x104802),f10(f932(x104802,x104802),f932(x104802,a921),x104802)),f862(f862(f10(f932(x104802,a921),f932(f932(x104802,x104802),f932(x104802,a921)),x104802),f10(x104802,a921,x104802)),a317))),f225(x104802)))))),f862(f862(f9(x104802,f932(x104802,a921),f932(x104802,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x104802,a921),f932(x104802,a921)),x104802),f10(a921,a921,x104802)),f862(f862(f10(a921,f932(a921,a921),x104802),a318),f862(f862(f9(x104802,f932(x104802,a921),a921),f321(x104802)),x104803)))),f862(f862(f9(x104802,f932(x104802,a921),a921),f321(x104802)),x104801))))))),f862(f862(f225(x104802),f14(x104802,f226(x104802),x104803)),f14(x104802,f226(x104802),x104801))) % 186.59/186.36 [10481]~P109(x104812)+E(x104811,f181(f932(x104812,a921)))+E(x104813,f181(f932(x104812,a921)))+~P1(f862(f54(x104812),x104811))+~P1(f862(f54(x104812),x104813))+E(f13(x104812,f225(x104812),f862(f254(x104812),f862(f862(f10(f932(x104812,a921),a921,x104812),f80(x104812)),f862(f862(f10(f932(x104812,f932(x104812,a921)),f932(x104812,a921),x104812),f862(f10(f932(x104812,a921),a921,x104812),f80(x104812))),f862(f862(f9(x104812,f932(x104812,f932(x104812,a921)),f932(x104812,f932(x104812,a921))),f862(f862(f10(f932(x104812,f932(f932(x104812,a921),f932(x104812,a921))),f932(f932(x104812,f932(x104812,a921)),f932(x104812,f932(x104812,a921))),x104812),f20(x104812,f932(x104812,a921),f932(x104812,a921))),f862(f862(f10(f932(x104812,f932(x104812,f932(a921,a921))),f932(x104812,f932(f932(x104812,a921),f932(x104812,a921))),x104812),f862(f10(f932(x104812,f932(a921,a921)),f932(f932(x104812,a921),f932(x104812,a921)),x104812),f20(x104812,a921,a921))),f862(f862(f10(f932(x104812,f932(x104812,a921)),f932(x104812,f932(x104812,f932(a921,a921))),x104812),f862(f10(f932(x104812,a921),f932(x104812,f932(a921,a921)),x104812),f862(f10(a921,f932(a921,a921),x104812),a318))),f862(f862(f9(x104812,f932(x104812,f932(x104812,x104812)),f932(x104812,f932(x104812,a921))),f862(f862(f10(f932(f932(x104812,x104812),f932(x104812,a921)),f932(f932(x104812,f932(x104812,x104812)),f932(x104812,f932(x104812,a921))),x104812),f10(f932(x104812,x104812),f932(x104812,a921),x104812)),f862(f862(f10(f932(x104812,a921),f932(f932(x104812,x104812),f932(x104812,a921)),x104812),f10(x104812,a921,x104812)),a317))),f226(x104812)))))),f862(f862(f9(x104812,f932(x104812,a921),f932(x104812,a921)),f862(f862(f10(f932(a921,a921),f932(f932(x104812,a921),f932(x104812,a921)),x104812),f10(a921,a921,x104812)),f862(f862(f10(a921,f932(a921,a921),x104812),a318),f862(f862(f9(x104812,f932(x104812,a921),a921),f321(x104812)),x104813)))),f862(f862(f9(x104812,f932(x104812,a921),a921),f321(x104812)),x104811))))))),f862(f862(f226(x104812),f13(x104812,f225(x104812),x104813)),f13(x104812,f225(x104812),x104811))) % 186.59/186.36 [7406]~P127(x74063)+E(x74061,x74062)+~E(f862(f862(f236(x74063),x74061),x74064),f862(f862(f236(x74063),x74062),x74064))+~P1(f862(f862(f227(x74063),f2(x74063)),x74062))+~P1(f862(f862(f227(x74063),f2(x74063)),x74061))+~P1(f862(f862(f228(a924),f2(a924)),x74064)) % 186.59/186.36 [7677]~P109(x76772)+E(x76771,f181(f932(x76772,a921)))+~P1(f862(f54(x76772),x76771))+~P1(f862(f862(f321(x76772),x76774),x76771))+P1(f862(f862(f227(x76772),x76773),x76774))+~P1(f862(f862(f227(x76772),x76773),f862(f56(x76772,f225(x76772)),x76771))) % 186.59/186.36 [7678]~P104(x76782)+E(x76781,f181(f932(x76782,a921)))+~P1(f862(f54(x76782),x76781))+~P1(f862(f862(f321(x76782),x76784),x76781))+P1(f862(f862(f227(x76782),x76783),x76784))+~P1(f862(f862(f227(x76782),x76783),f862(f56(x76782,f94(x76782)),x76781))) % 186.59/186.36 [7679]~P109(x76792)+E(x76791,f181(f932(x76792,a921)))+~P1(f862(f54(x76792),x76791))+~P1(f862(f862(f321(x76792),x76794),x76791))+P1(f862(f862(f228(x76792),x76793),x76794))+~P1(f862(f862(f228(x76792),x76793),f862(f56(x76792,f225(x76792)),x76791))) % 186.59/186.36 [7585]E(x75851,f2(a1))+E(f862(f862(f29(a1),x75852),x75851),x75853)+~P1(f862(f862(f227(a1),x75854),f2(a1)))+~E(x75852,f862(f862(f73(a1),f862(f862(f74(a1),x75851),x75853)),x75854))+P1(f862(f862(f228(a1),f2(a1)),x75851))+~P1(f862(f862(f228(a1),x75851),x75854)) % 186.59/186.36 [7601]E(f38(a1,x76012,x76011),x76013)+E(x76011,f2(a1))+~P1(f862(f862(f227(a1),x76013),f2(a1)))+~E(x76012,f862(f862(f73(a1),f862(f862(f74(a1),x76011),x76014)),x76013))+P1(f862(f862(f228(a1),f2(a1)),x76011))+~P1(f862(f862(f228(a1),x76011),x76013)) % 186.59/186.36 [7715]E(x77151,f2(a1))+E(f862(f862(f29(a1),x77152),x77151),x77153)+~E(x77152,f862(f862(f73(a1),f862(f862(f74(a1),x77151),x77153)),x77154))+~P1(f862(f862(f227(a1),f2(a1)),x77154))+~P1(f862(f862(f228(a1),f2(a1)),x77151))+~P1(f862(f862(f228(a1),x77154),x77151)) % 186.59/186.36 [7737]E(f38(a1,x77372,x77371),x77373)+E(x77371,f2(a1))+~E(x77372,f862(f862(f73(a1),f862(f862(f74(a1),x77371),x77374)),x77373))+~P1(f862(f862(f227(a1),f2(a1)),x77373))+~P1(f862(f862(f228(a1),f2(a1)),x77371))+~P1(f862(f862(f228(a1),x77373),x77371)) % 186.59/186.36 [7882]~P109(x78822)+E(x78821,f181(f932(x78822,a921)))+~P1(f862(f54(x78822),x78821))+~P1(f862(f862(f227(x78822),x78824),x78823))+~P1(f862(f862(f321(x78822),x78824),x78821))+P1(f862(f862(f227(x78822),f862(f56(x78822,f225(x78822)),x78821)),x78823)) % 186.59/186.36 [7883]~P109(x78832)+E(x78831,f181(f932(x78832,a921)))+~P1(f862(f54(x78832),x78831))+~P1(f862(f862(f228(x78832),x78834),x78833))+~P1(f862(f862(f321(x78832),x78834),x78831))+P1(f862(f862(f228(x78832),f862(f56(x78832,f225(x78832)),x78831)),x78833)) % 186.59/186.36 [8452]~P1(f862(f862(f227(a1),x84524),f2(a1)))+~E(x84521,f862(f862(f73(a1),f862(f862(f74(a1),x84522),x84523)),x84524))+~P1(f862(f862(f227(a1),f2(a1)),x84524))+~P1(f862(f862(f228(a1),x84524),x84522))+~P1(f862(f862(f228(a1),x84522),x84524))+P1(f862(f42(x84521,x84522),f862(f862(f244(a1,a1),x84523),x84524))) % 186.59/186.36 [8619]~P110(x86191)+P1(f862(f862(f228(f932(x86191,a921)),f296(x86191,x86192,x86193)),f296(x86191,x86194,x86195)))+~P1(f862(f862(f227(x86191),x86194),x86192))+~P1(f862(f862(f227(x86191),x86194),x86195))+~P1(f862(f862(f227(x86191),x86193),x86195))+~P1(f862(f862(f228(x86191),x86193),x86195)) % 186.59/186.36 [8620]~P110(x86201)+P1(f862(f862(f228(f932(x86201,a921)),f296(x86201,x86202,x86203)),f296(x86201,x86204,x86205)))+~P1(f862(f862(f227(x86201),x86203),x86205))+~P1(f862(f862(f227(x86201),x86204),x86205))+~P1(f862(f862(f227(x86201),x86204),x86202))+~P1(f862(f862(f228(x86201),x86204),x86202)) % 186.59/186.36 [9486]P56(x94862,x94863,x94864,x94861)+E(x94861,f181(f932(x94862,a921)))+~P1(f862(f54(x94862),x94864))+~P1(f862(f54(x94862),x94861))+~P1(f862(f862(x94863,f550(x94861,x94864,x94863,x94862)),x94865))+~P1(f862(f862(f321(x94862),x94865),x94861)) % 186.59/186.36 [9487]P56(x94872,x94873,x94874,x94871)+E(x94871,f181(f932(x94872,a921)))+~P1(f862(f54(x94872),x94874))+~P1(f862(f54(x94872),x94871))+~P1(f862(f862(x94873,f803(x94873,x94871,x94874,x94872)),x94875))+~P1(f862(f862(f321(x94872),x94875),x94871)) % 186.59/186.36 [9488]P56(x94882,x94883,x94884,x94881)+E(x94881,f181(f932(x94882,a921)))+~P1(f862(f54(x94882),x94884))+~P1(f862(f54(x94882),x94881))+~P1(f862(f862(x94883,f804(x94881,x94884,x94883,x94882)),x94885))+~P1(f862(f862(f321(x94882),x94885),x94881)) % 186.59/186.36 [9639]~E(x96393,x96395)+~P71(x96391)+~P72(x96391)+~P38(x96393)+E(f862(f862(f8(a1,x96391),x96392),x96393),f862(f862(f8(a1,x96391),x96394),x96395))+P1(f862(f862(f227(a1),f2(a1)),f549(x96392,x96394,x96393,x96395,x96391))) % 186.59/186.36 [9640]~E(x96403,x96405)+~P71(x96401)+~P72(x96401)+~P38(x96403)+E(f862(f862(f11(a1,x96401),x96402),x96403),f862(f862(f11(a1,x96401),x96404),x96405))+P1(f862(f862(f227(a1),f2(a1)),f514(x96402,x96404,x96403,x96405,x96401))) % 186.59/186.36 [9819]~E(x98195,x98193)+~P71(x98191)+~P72(x98191)+~P38(x98195)+~E(f862(x98192,f549(x98194,x98192,x98195,x98193,x98191)),f862(x98194,f549(x98194,x98192,x98195,x98193,x98191)))+E(f862(f862(f8(a1,x98191),x98192),x98193),f862(f862(f8(a1,x98191),x98194),x98195)) % 186.59/186.36 [9820]~E(x98205,x98203)+~P71(x98201)+~P72(x98201)+~P38(x98205)+~E(f862(x98202,f514(x98204,x98202,x98205,x98203,x98201)),f862(x98204,f514(x98204,x98202,x98205,x98203,x98201)))+E(f862(f862(f11(a1,x98201),x98202),x98203),f862(f862(f11(a1,x98201),x98204),x98205)) % 186.59/186.36 [9908]~P78(x99083)+E(f862(x99081,x99082),f2(x99083))+~E(f862(f862(f8(x99084,x99083),x99081),x99085),f2(x99083))+~P1(f862(f54(x99084),x99085))+P1(f862(f862(f321(x99084),f516(x99082,x99081,x99085,x99084,x99083)),x99085))+~P1(f862(f862(f321(x99084),x99082),x99085)) % 186.59/186.36 [10037]~P78(x100373)+E(f862(x100371,x100372),f2(x100373))+~E(f862(f862(f8(x100374,x100373),x100371),x100375),f2(x100373))+~P1(f862(f54(x100374),x100375))+~P1(f862(f862(f321(x100374),x100372),x100375))+~P1(f862(f862(f227(x100373),f2(x100373)),f862(x100371,f516(x100372,x100371,x100375,x100374,x100373)))) % 186.59/186.36 [8537]~P138(x85371)+~P1(f862(f862(f227(x85371),x85373),x85375))+~P1(f862(f862(f227(x85371),x85372),x85374))+~P1(f862(f862(f227(x85371),f2(x85371)),x85373))+~P1(f862(f862(f227(x85371),f2(x85371)),x85374))+P1(f862(f862(f227(x85371),f862(f862(f74(x85371),x85372),x85373)),f862(f862(f74(x85371),x85374),x85375))) % 186.59/186.36 [8538]~P138(x85381)+~P1(f862(f862(f227(x85381),x85383),x85385))+~P1(f862(f862(f227(x85381),x85382),x85384))+~P1(f862(f862(f227(x85381),f2(x85381)),x85383))+~P1(f862(f862(f227(x85381),f2(x85381)),x85382))+P1(f862(f862(f227(x85381),f862(f862(f74(x85381),x85382),x85383)),f862(f862(f74(x85381),x85384),x85385))) % 186.59/186.36 [8539]~P67(x85391)+~P1(f862(f862(f228(x85391),f2(x85391)),x85395))+~P1(f862(f862(f227(x85391),x85395),x85393))+~P1(f862(f862(f227(x85391),x85392),x85394))+~P1(f862(f862(f227(x85391),f2(x85391)),x85392))+P1(f862(f862(f227(x85391),f862(f862(f282(x85391),x85392),x85393)),f862(f862(f282(x85391),x85394),x85395))) % 186.59/186.36 [8540]~P135(x85401)+~P1(f862(f862(f227(x85401),x85403),x85405))+~P1(f862(f862(f227(x85401),f2(x85401)),x85402))+~P1(f862(f862(f228(x85401),x85402),x85404))+~P1(f862(f862(f228(x85401),f2(x85401)),x85403))+P1(f862(f862(f228(x85401),f862(f862(f74(x85401),x85402),x85403)),f862(f862(f74(x85401),x85404),x85405))) % 186.59/186.36 [8541]~P135(x85411)+~P1(f862(f862(f227(x85411),x85412),x85414))+~P1(f862(f862(f227(x85411),f2(x85411)),x85413))+~P1(f862(f862(f228(x85411),x85413),x85415))+~P1(f862(f862(f228(x85411),f2(x85411)),x85412))+P1(f862(f862(f228(x85411),f862(f862(f74(x85411),x85412),x85413)),f862(f862(f74(x85411),x85414),x85415))) % 186.59/186.36 [8542]~P135(x85421)+~P1(f862(f862(f227(x85421),f2(x85421)),x85423))+~P1(f862(f862(f227(x85421),f2(x85421)),x85422))+~P1(f862(f862(f228(x85421),x85423),x85425))+~P1(f862(f862(f228(x85421),x85422),x85424))+P1(f862(f862(f228(x85421),f862(f862(f74(x85421),x85422),x85423)),f862(f862(f74(x85421),x85424),x85425))) % 186.59/186.36 [8543]~P135(x85431)+~P1(f862(f862(f227(x85431),f2(x85431)),x85433))+~P1(f862(f862(f228(x85431),x85433),x85435))+~P1(f862(f862(f228(x85431),x85432),x85434))+~P1(f862(f862(f228(x85431),f2(x85431)),x85434))+P1(f862(f862(f228(x85431),f862(f862(f74(x85431),x85432),x85433)),f862(f862(f74(x85431),x85434),x85435))) % 186.59/186.36 [8544]~P67(x85441)+~P1(f862(f862(f227(x85441),x85445),x85443))+~P1(f862(f862(f227(x85441),f2(x85441)),x85442))+~P1(f862(f862(f228(x85441),x85442),x85444))+~P1(f862(f862(f228(x85441),f2(x85441)),x85445))+P1(f862(f862(f228(x85441),f862(f862(f282(x85441),x85442),x85443)),f862(f862(f282(x85441),x85444),x85445))) % 186.59/186.36 [8545]~P67(x85451)+~P1(f862(f862(f227(x85451),x85452),x85454))+~P1(f862(f862(f228(x85451),x85455),x85453))+~P1(f862(f862(f228(x85451),f2(x85451)),x85455))+~P1(f862(f862(f228(x85451),f2(x85451)),x85452))+P1(f862(f862(f228(x85451),f862(f862(f282(x85451),x85452),x85453)),f862(f862(f282(x85451),x85454),x85455))) % 186.59/186.36 [9951]~P72(x99515)+~P83(x99515)+E(x99511,f181(f932(x99512,a921)))+~P1(f862(f54(x99512),x99511))+P1(f862(f862(f321(x99512),f907(x99513,x99514,x99511,x99512,x99515)),x99511))+P1(f862(f862(f228(x99515),f862(f862(f8(x99512,x99515),x99514),x99511)),f862(f862(f8(x99512,x99515),x99513),x99511))) % 186.59/186.36 [10062]~P72(x100621)+~P85(x100621)+~P1(f862(f54(x100622),x100625))+~P1(f862(f862(f227(x100621),f2(x100621)),f862(x100623,f361(x100623,x100624,x100625,x100622,x100621))))+P1(f862(f862(f227(x100621),f862(f862(f8(x100622,x100621),x100623),x100624)),f862(f862(f8(x100622,x100621),x100623),x100625)))+~P1(f862(f862(f227(f932(x100622,a921)),x100624),x100625)) % 186.59/186.36 [10235]~P72(x102353)+~P83(x102353)+E(x102351,f181(f932(x102352,a921)))+~P1(f862(f54(x102352),x102351))+~P1(f862(f862(f228(x102353),f862(x102354,f907(x102355,x102354,x102351,x102352,x102353))),f862(x102355,f907(x102355,x102354,x102351,x102352,x102353))))+P1(f862(f862(f228(x102353),f862(f862(f8(x102352,x102353),x102354),x102351)),f862(f862(f8(x102352,x102353),x102355),x102351))) % 186.59/186.36 [7259]~P15(x72592,x72595,x72594)+E(x72591,f181(f932(x72592,a921)))+E(x72593,f181(f932(x72592,a921)))+~P1(f862(f54(x72592),x72591))+~P1(f862(f54(x72592),x72593))+E(f862(x72594,f862(f862(f103(f932(x72592,a921)),x72593),x72591)),f862(f862(x72595,f862(x72594,x72593)),f862(x72594,x72591))) % 186.59/186.36 [7848]~P149(x78481,x78484,x78483)+P1(f862(x78481,x78482))+~P1(f862(f862(f228(a1),x78484),f2(a1)))+~P1(f862(f862(f227(a1),x78485),f2(a1)))+~E(x78483,f862(f862(f73(a1),f862(f862(f74(a1),x78484),x78482)),x78485))+~P1(f862(f862(f228(a1),x78484),x78485)) % 186.59/186.36 [7849]~P148(x78491,x78494,x78493)+P1(f862(x78491,x78492))+~P1(f862(f862(f228(a1),x78494),f2(a1)))+~P1(f862(f862(f227(a1),x78492),f2(a1)))+~E(x78493,f862(f862(f73(a1),f862(f862(f74(a1),x78494),x78495)),x78492))+~P1(f862(f862(f228(a1),x78494),x78492)) % 186.59/186.36 [7891]~P149(x78911,x78914,x78913)+P1(f862(x78911,x78912))+~E(x78913,f862(f862(f73(a1),f862(f862(f74(a1),x78914),x78912)),x78915))+~P1(f862(f862(f227(a1),f2(a1)),x78915))+~P1(f862(f862(f228(a1),f2(a1)),x78914))+~P1(f862(f862(f228(a1),x78915),x78914)) % 186.59/186.36 [7892]~P148(x78921,x78924,x78923)+P1(f862(x78921,x78922))+~E(x78923,f862(f862(f73(a1),f862(f862(f74(a1),x78924),x78925)),x78922))+~P1(f862(f862(f227(a1),f2(a1)),x78922))+~P1(f862(f862(f228(a1),f2(a1)),x78924))+~P1(f862(f862(f228(a1),x78922),x78924)) % 186.59/186.36 [8831]P1(f862(f862(x88311,x88312),x88313))+~P1(f862(f862(x88311,f862(f862(f29(a1),x88314),x88315)),f38(a1,x88314,x88315)))+~P1(f862(f862(f228(a1),x88315),f2(a1)))+~P1(f862(f862(f227(a1),x88313),f2(a1)))+~E(x88314,f862(f862(f73(a1),f862(f862(f74(a1),x88315),x88312)),x88313))+~P1(f862(f862(f228(a1),x88315),x88313)) % 186.59/186.36 [8840]P1(f862(f862(x88401,x88402),x88403))+~P1(f862(f862(x88401,f862(f862(f29(a1),x88404),x88405)),f38(a1,x88404,x88405)))+~E(x88404,f862(f862(f73(a1),f862(f862(f74(a1),x88405),x88402)),x88403))+~P1(f862(f862(f227(a1),f2(a1)),x88403))+~P1(f862(f862(f228(a1),f2(a1)),x88405))+~P1(f862(f862(f228(a1),x88403),x88405)) % 186.59/186.36 [9104]E(x91041,x91042)+~P53(x91043,x91045,x91044)+~P1(f862(f862(f321(x91043),x91042),x91045))+~P1(f862(f862(f321(x91043),x91041),x91045))+P1(f862(f862(f321(f931(x91043,x91043)),f862(f862(f244(x91043,x91043),x91041),x91042)),x91044))+P1(f862(f862(f321(f931(x91043,x91043)),f862(f862(f244(x91043,x91043),x91042),x91041)),x91044)) % 186.59/186.36 [9979]~P72(x99795)+~P85(x99795)+~P1(f862(f54(x99791),x99794))+P1(f862(f862(f227(x99795),f862(f862(f8(x99791,x99795),x99792),x99793)),f862(f862(f8(x99791,x99795),x99792),x99794)))+~P1(f862(f862(f227(f932(x99791,a921)),x99793),x99794))+P1(f862(f862(f321(x99791),f361(x99792,x99793,x99794,x99791,x99795)),f862(f862(f3(f932(x99791,a921)),x99794),x99793))) % 186.59/186.37 [10070]E(x100701,f181(f932(x100702,a921)))+~P1(f862(f54(x100702),x100703))+~P1(f862(f54(x100702),x100701))+P1(f862(f862(f321(f931(f932(x100702,a921),f932(x100702,a921))),f862(f862(f244(f932(x100702,a921),f932(x100702,a921)),x100703),x100701)),f310(x100702,x100704)))+~P1(f862(f862(f321(x100702),x100705),x100701))+~P1(f862(f862(f321(f931(x100702,x100702)),f862(f862(f244(x100702,x100702),f559(x100704,x100701,x100703,x100702)),x100705)),x100704)) % 186.59/186.37 [10071]E(x100711,f181(f932(x100712,a921)))+~P1(f862(f54(x100712),x100713))+~P1(f862(f54(x100712),x100711))+P1(f862(f862(f321(f931(f932(x100712,a921),f932(x100712,a921))),f862(f862(f244(f932(x100712,a921),f932(x100712,a921)),x100713),x100711)),f310(x100712,x100714)))+~P1(f862(f862(f321(x100712),x100715),x100711))+~P1(f862(f862(f321(f931(x100712,x100712)),f862(f862(f244(x100712,x100712),f617(x100714,x100711,x100713,x100712)),x100715)),x100714)) % 186.59/186.37 [10239]~P78(x102391)+~E(f862(f862(f8(x102395,x102391),x102392),x102396),x102394)+~P1(f862(f54(x102395),x102396))+P1(f862(f862(f321(x102395),f520(x102393,x102394,x102392,x102396,x102395,x102391)),x102396))+P1(f862(f862(f227(x102391),f862(x102392,x102393)),x102394))+~P1(f862(f862(f321(x102395),x102393),x102396)) % 186.59/186.37 [10287]~P78(x102871)+~E(f862(f862(f8(x102875,x102871),x102872),x102876),x102874)+~P1(f862(f54(x102875),x102876))+~P1(f862(f862(f321(x102875),x102873),x102876))+~P1(f862(f862(f227(x102871),f2(x102871)),f862(x102872,f520(x102873,x102874,x102872,x102876,x102875,x102871))))+P1(f862(f862(f227(x102871),f862(x102872,x102873)),x102874)) % 186.59/186.37 [10425]~E(x104255,x104258)+~E(x104254,x104257)+~P108(x104251)+~P72(x104252)+E(f862(f862(f8(x104251,x104252),x104253),f862(f295(x104251,x104254),x104255)),f862(f862(f8(x104251,x104252),x104256),f862(f295(x104251,x104257),x104258)))+P1(f862(f862(f227(x104251),x104254),f911(x104253,x104256,x104255,x104258,x104254,x104257,x104251,x104252))) % 186.59/186.37 [10441]~E(x104417,x104414)+~E(x104418,x104415)+~P108(x104411)+~P72(x104412)+~E(f862(x104413,f911(x104416,x104413,x104418,x104415,x104417,x104414,x104411,x104412)),f862(x104416,f911(x104416,x104413,x104418,x104415,x104417,x104414,x104411,x104412)))+E(f862(f862(f8(x104411,x104412),x104413),f862(f295(x104411,x104414),x104415)),f862(f862(f8(x104411,x104412),x104416),f862(f295(x104411,x104417),x104418))) % 186.59/186.37 [10444]~E(x104444,x104447)+~E(x104445,x104448)+~P108(x104441)+~P72(x104442)+E(f862(f862(f8(x104441,x104442),x104443),f862(f295(x104441,x104444),x104445)),f862(f862(f8(x104441,x104442),x104446),f862(f295(x104441,x104447),x104448)))+P1(f862(f862(f228(x104441),f911(x104443,x104446,x104445,x104448,x104444,x104447,x104441,x104442)),x104445)) % 186.59/186.37 [10077]~P6(x100775,x100779,x100776)+~P6(x100771,x1007710,x100773)+~P10(x100771,x100775,f932(x100772,a921),x100773,x100776,x100778)+~P1(f862(f862(f321(x100775),x100777),x100779))+~P1(f862(f862(f321(x100771),x100774),x1007710))+E(f862(f862(f33(x100771,f932(x100772,a921)),f862(f276(x100771,x100771,x100773),f862(f862(f301(x100771),x100774),f181(f932(x100771,a921))))),f862(f862(f10(f932(x100775,f932(x100772,a921)),f932(x100772,a921),x100771),f862(f33(x100775,f932(x100772,a921)),f862(f276(x100775,x100775,x100776),f862(f862(f301(x100775),x100777),f181(f932(x100775,a921)))))),x100778)),f862(f862(x100778,x100774),x100777)) % 186.59/186.37 [5770]~P109(x57703)+~P11(x57703,x57702)+~P11(x57703,x57701)+E(x57701,x57702)+~E(f862(f165(x57703),x57701),f862(f165(x57703),x57702))+~P1(f862(f130(x57703),x57702))+~P1(f862(f130(x57703),x57701)) % 186.59/186.37 [5100]~P133(x51002)+~P134(x51002)+~P145(x51002)+~P116(x51002)+~E(x51003,f2(x51002))+E(x51001,f2(a924))+E(f862(f862(f236(x51002),x51003),x51001),f2(x51002)) % 186.59/186.37 [9361]E(x93611,f2(a924))+~E(x93612,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x93613)),x93611)),f862(f248(a924,a924),x93613)))+P1(f862(f41(x93612,x93611),x93613))+~P1(f862(f862(f227(a924),f862(f248(a924,a924),x93613)),f2(a924)))+~P1(f862(f862(f227(a924),f2(a924)),f862(f248(a924,a924),x93613)))+~P1(f862(f862(f228(a924),x93611),f862(f248(a924,a924),x93613)))+~P1(f862(f862(f228(a924),f862(f248(a924,a924),x93613)),x93611)) % 186.59/186.37 [9369]~E(f862(f243(a924,a924),x93693),f2(a924))+~E(x93691,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),x93693)),x93692)),f862(f248(a924,a924),x93693)))+P1(f862(f41(x93691,x93692),x93693))+~P1(f862(f862(f227(a924),f862(f248(a924,a924),x93693)),f2(a924)))+~P1(f862(f862(f227(a924),f2(a924)),f862(f248(a924,a924),x93693)))+~P1(f862(f862(f228(a924),x93692),f862(f248(a924,a924),x93693)))+~P1(f862(f862(f228(a924),f862(f248(a924,a924),x93693)),x93692)) % 186.59/186.37 [8205]~P69(x82052)+E(x82051,f181(f932(x82052,a921)))+E(x82053,f181(f932(x82052,a921)))+~P1(f862(f54(x82052),x82051))+~P1(f862(f54(x82052),x82053))+~E(f862(f862(f94(f932(x82052,a921)),x82053),x82051),f181(f932(x82052,a921)))+E(f862(f862(f74(x82052),f862(f56(x82052,f74(x82052)),x82053)),f862(f56(x82052,f74(x82052)),x82051)),f862(f56(x82052,f74(x82052)),f862(f862(f103(f932(x82052,a921)),x82053),x82051))) % 186.59/186.37 [7986]E(x79861,f2(a1))+E(f862(f862(f29(a1),x79862),x79861),x79863)+~P1(f862(f862(f227(a1),x79864),f2(a1)))+~E(x79862,f862(f862(f73(a1),f862(f862(f74(a1),x79861),x79863)),x79864))+~P1(f862(f862(f227(a1),f2(a1)),x79864))+~P1(f862(f862(f228(a1),x79864),x79861))+~P1(f862(f862(f228(a1),x79861),x79864)) % 186.59/186.37 [7994]E(f38(a1,x79942,x79941),x79943)+E(x79941,f2(a1))+~P1(f862(f862(f227(a1),x79943),f2(a1)))+~E(x79942,f862(f862(f73(a1),f862(f862(f74(a1),x79941),x79944)),x79943))+~P1(f862(f862(f227(a1),f2(a1)),x79943))+~P1(f862(f862(f228(a1),x79943),x79941))+~P1(f862(f862(f228(a1),x79941),x79943)) % 186.59/186.37 [7042]~P61(x70422)+E(x70421,f2(x70422))+E(x70423,f2(x70422))+~E(f862(f862(f29(x70422),x70424),x70423),f862(f862(f29(x70422),x70425),x70421))+E(f862(f862(f74(x70422),x70424),x70421),f862(f862(f74(x70422),x70423),x70425))+~P1(f862(f862(f278(x70422),x70421),x70425))+~P1(f862(f862(f278(x70422),x70423),x70424)) % 186.59/186.37 [7043]~P61(x70432)+E(x70431,f2(x70432))+E(x70433,f2(x70432))+~E(f862(f862(f74(x70432),x70434),x70433),f862(f862(f74(x70432),x70431),x70435))+E(f862(f862(f29(x70432),x70434),x70431),f862(f862(f29(x70432),x70435),x70433))+~P1(f862(f862(f278(x70432),x70431),x70434))+~P1(f862(f862(f278(x70432),x70433),x70435)) % 186.59/186.37 [7901]~P16(x79012,x79015,x79014)+E(x79011,f181(f932(x79012,a921)))+E(x79013,f181(f932(x79012,a921)))+~P1(f862(f54(x79012),x79011))+~P1(f862(f54(x79012),x79013))+~E(f862(f862(f94(f932(x79012,a921)),x79013),x79011),f181(f932(x79012,a921)))+E(f862(x79014,f862(f862(f103(f932(x79012,a921)),x79013),x79011)),f862(f862(x79015,f862(x79014,x79013)),f862(x79014,x79011))) % 186.59/186.37 [9612]~P22(x96123,x96121,x96125,x96124)+~P22(x96121,x96123,x96126,x96122)+E(f862(f28(x96121),x96122),f862(f28(x96123),x96124))+~P1(f862(f54(x96123),x96124))+~P1(f862(f54(x96121),x96122))+~P1(f862(f862(f227(f932(x96123,a921)),f862(f302(x96121,x96123,x96126),x96122)),x96124))+~P1(f862(f862(f227(f932(x96121,a921)),f862(f302(x96123,x96121,x96125),x96124)),x96122)) % 186.59/186.37 [9552]~P1(f862(f862(f228(a1),f862(f862(f73(a1),f862(f862(f74(a1),x95525),x95521)),x95526)),f2(a1)))+~E(f862(f862(f73(a1),f862(f862(f74(a1),x95523),x95522)),x95524),f862(f862(f73(a1),f862(f862(f74(a1),x95525),x95521)),x95526))+~P1(f862(f862(f227(a1),f2(a1)),x95526))+~P1(f862(f862(f228(a1),f2(a1)),x95525))+~P1(f862(f862(f227(a1),x95525),x95523))+~P1(f862(f862(f228(a1),x95524),x95523))+P1(f862(f862(f227(a1),x95521),x95522)) % 186.59/186.37 [9311]~E(f862(f862(f73(a1),f862(f862(f74(a1),x93113),x93111)),x93114),f862(f862(f73(a1),f862(f862(f74(a1),x93115),x93112)),x93116))+~P1(f862(f862(f227(a1),f2(a1)),x93114))+~P1(f862(f862(f228(a1),f2(a1)),x93115))+~P1(f862(f862(f227(a1),x93115),x93113))+~P1(f862(f862(f228(a1),x93116),x93115))+P1(f862(f862(f227(a1),x93111),x93112))+~P1(f862(f862(f227(a1),f2(a1)),f862(f862(f73(a1),f862(f862(f74(a1),x93115),x93112)),x93116))) % 186.59/186.37 [9491]~P132(x94911)+~E(f862(f862(f73(x94911),x94912),x94914),f71(x94911))+~P1(f862(f862(f227(x94911),x94915),x94916))+~P1(f862(f862(f227(x94911),x94913),x94916))+~P1(f862(f862(f227(x94911),f2(x94911)),x94914))+~P1(f862(f862(f227(x94911),f2(x94911)),x94912))+P1(f862(f862(f227(x94911),f862(f862(f73(x94911),f862(f862(f74(x94911),x94912),x94913)),f862(f862(f74(x94911),x94914),x94915))),x94916)) % 186.59/186.37 [9492]~P130(x94921)+~E(f862(f862(f73(x94921),x94922),x94924),f71(x94921))+~P1(f862(f862(f227(x94921),f2(x94921)),x94924))+~P1(f862(f862(f227(x94921),f2(x94921)),x94922))+~P1(f862(f862(f228(x94921),x94925),x94926))+~P1(f862(f862(f228(x94921),x94923),x94926))+P1(f862(f862(f228(x94921),f862(f862(f73(x94921),f862(f862(f74(x94921),x94922),x94923)),f862(f862(f74(x94921),x94924),x94925))),x94926)) % 186.59/186.37 [10336]~P6(x103367,x103366,x103365)+E(x103361,x103362)+~P9(x103367,f932(x103364,a921),x103365,x103363)+E(f862(x103363,f530(x103361,x103362,x103363,x103364,x103365,x103366,x103367)),f862(x103363,f531(x103361,x103362,x103363,x103364,x103365,x103366,x103367)))+~E(f862(f862(f33(x103367,f932(x103364,a921)),x103361),x103363),f862(f862(f33(x103367,f932(x103364,a921)),x103362),x103363))+~P1(f862(f862(f321(f932(x103367,a921)),x103362),f862(f862(f53(x103367),x103366),x103365)))+~P1(f862(f862(f321(f932(x103367,a921)),x103361),f862(f862(f53(x103367),x103366),x103365))) % 186.59/186.37 [10381]~P6(x103813,x103817,x103816)+E(x103811,x103812)+~P9(x103813,f932(x103815,a921),x103816,x103814)+~E(f862(f862(f33(x103813,f932(x103815,a921)),x103811),x103814),f862(f862(f33(x103813,f932(x103815,a921)),x103812),x103814))+P1(f862(f862(f321(x103813),f531(x103811,x103812,x103814,x103815,x103816,x103817,x103813)),x103817))+~P1(f862(f862(f321(f932(x103813,a921)),x103812),f862(f862(f53(x103813),x103817),x103816)))+~P1(f862(f862(f321(f932(x103813,a921)),x103811),f862(f862(f53(x103813),x103817),x103816))) % 186.59/186.37 [10382]~P6(x103823,x103827,x103826)+E(x103821,x103822)+~P9(x103823,f932(x103825,a921),x103826,x103824)+~E(f862(f862(f33(x103823,f932(x103825,a921)),x103821),x103824),f862(f862(f33(x103823,f932(x103825,a921)),x103822),x103824))+P1(f862(f862(f321(x103823),f530(x103821,x103822,x103824,x103825,x103826,x103827,x103823)),x103827))+~P1(f862(f862(f321(f932(x103823,a921)),x103822),f862(f862(f53(x103823),x103827),x103826)))+~P1(f862(f862(f321(f932(x103823,a921)),x103821),f862(f862(f53(x103823),x103827),x103826))) % 186.59/186.37 [10460]E(x104601,x104602)+~P6(x104603,x104606,x104607)+~P9(x104603,f932(x104604,a921),x104607,x104605)+~E(f862(f862(f33(x104603,f932(x104604,a921)),x104601),x104605),f862(f862(f33(x104603,f932(x104604,a921)),x104602),x104605))+~P1(f862(f862(f321(f931(x104603,x104603)),f862(f862(f244(x104603,x104603),f531(x104601,x104602,x104605,x104604,x104607,x104606,x104603)),f530(x104601,x104602,x104605,x104604,x104607,x104606,x104603))),x104607))+~P1(f862(f862(f321(f932(x104603,a921)),x104602),f862(f862(f53(x104603),x104606),x104607)))+~P1(f862(f862(f321(f932(x104603,a921)),x104601),f862(f862(f53(x104603),x104606),x104607))) % 186.59/186.37 [9310]~P6(x93101,x93107,x93104)+~E(x93105,x93106)+~P1(f862(f862(f321(x93101),x93103),x93106))+~P1(f862(f862(f321(x93101),x93102),x93105))+~P1(f862(f862(f321(f932(x93101,a921)),x93106),f862(f862(f53(x93101),x93107),x93104)))+~P1(f862(f862(f321(f932(x93101,a921)),x93105),f862(f862(f53(x93101),x93107),x93104)))+P1(f862(f862(f321(f931(x93101,x93101)),f862(f862(f244(x93101,x93101),x93102),x93103)),x93104)) % 186.59/186.37 [9448]E(x94481,x94482)+~P6(x94483,x94484,x94485)+~P1(f862(f862(f321(x94483),x94486),x94482))+~P1(f862(f862(f321(x94483),x94487),x94481))+~P1(f862(f862(f321(f932(x94483,a921)),x94482),f862(f862(f53(x94483),x94484),x94485)))+~P1(f862(f862(f321(f932(x94483,a921)),x94481),f862(f862(f53(x94483),x94484),x94485)))+~P1(f862(f862(f321(f931(x94483,x94483)),f862(f862(f244(x94483,x94483),x94487),x94486)),x94485)) % 186.59/186.37 [10487]~P6(x104879,x104878,x104877)+~P6(x104871,x1048711,x1048710)+~P10(x104871,x104879,f932(x104876,a921),x1048710,x104877,x104875)+P1(f862(f862(f321(x104871),f533(x104872,x104873,x104874,x104875,x104876,x104877,x104878,x104879,x1048710,x1048711,x104871)),x1048711))+~P1(f862(f862(f321(f932(x104879,a921)),x104873),f862(f862(f53(x104879),x104878),x104877)))+~P1(f862(f862(f321(f932(x104871,a921)),x104874),f862(f862(f53(x104871),x1048711),x1048710)))+P1(f862(f862(f321(f932(x104876,a921)),f862(f862(f33(x104871,f932(x104876,a921)),x104874),f862(f862(f10(f932(x104879,f932(x104876,a921)),f932(x104876,a921),x104871),f862(f33(x104879,f932(x104876,a921)),x104873)),x104875))),x104872)) % 186.59/186.37 [10488]~P6(x1048811,x1048810,x104889)+~P6(x104881,x104888,x104887)+~P10(x1048811,x104881,f932(x104886,a921),x104889,x104887,x104885)+P1(f862(f862(f321(x104881),f534(x104882,x104883,x104884,x104885,x104886,x104887,x104888,x104881,x104889,x1048810,x1048811)),x104888))+~P1(f862(f862(f321(f932(x1048811,a921)),x104884),f862(f862(f53(x1048811),x1048810),x104889)))+~P1(f862(f862(f321(f932(x104881,a921)),x104883),f862(f862(f53(x104881),x104888),x104887)))+P1(f862(f862(f321(f932(x104886,a921)),f862(f862(f33(x1048811,f932(x104886,a921)),x104884),f862(f862(f10(f932(x104881,f932(x104886,a921)),f932(x104886,a921),x1048811),f862(f33(x104881,f932(x104886,a921)),x104883)),x104885))),x104882)) % 186.59/186.37 [10489]~P6(x104892,x104898,x104899)+~P6(x104894,x1048910,x1048911)+~P10(x104892,x104894,f932(x104891,a921),x104899,x1048911,x104896)+~P1(f862(f862(f321(f932(x104892,a921)),x104893),f862(f862(f53(x104892),x104898),x104899)))+~P1(f862(f862(f321(f932(x104894,a921)),x104895),f862(f862(f53(x104894),x1048910),x1048911)))+~P1(f862(f862(f321(f932(x104891,a921)),f862(f862(x104896,f533(x104897,x104895,x104893,x104896,x104891,x1048911,x1048910,x104894,x104899,x104898,x104892)),f534(x104897,x104895,x104893,x104896,x104891,x1048911,x1048910,x104894,x104899,x104898,x104892))),x104897))+P1(f862(f862(f321(f932(x104891,a921)),f862(f862(f33(x104892,f932(x104891,a921)),x104893),f862(f862(f10(f932(x104894,f932(x104891,a921)),f932(x104891,a921),x104892),f862(f33(x104894,f932(x104891,a921)),x104895)),x104896))),x104897)) % 186.59/186.37 [9347]E(x93471,x93472)+~P109(x93474)+~P22(x93473,x93474,x93475,f862(f862(f103(f932(x93473,a921)),f862(f165(x93473),x93471)),f862(f165(x93473),x93472)))+~E(f862(f165(x93473),x93471),f862(f165(x93473),x93472))+~P11(x93474,f862(f862(f147(x93473,x93474),x93475),x93472))+~P11(x93474,f862(f862(f147(x93473,x93474),x93475),x93471))+~P1(f862(f130(x93474),f862(f862(f147(x93473,x93474),x93475),x93472)))+~P1(f862(f130(x93474),f862(f862(f147(x93473,x93474),x93475),x93471))) % 186.59/186.37 %EqnAxiom % 186.59/186.37 [1]E(x11,x11) % 186.59/186.37 [2]E(x22,x21)+~E(x21,x22) % 186.59/186.37 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 186.59/186.37 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 186.59/186.37 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 186.59/186.37 [6]~E(x61,x62)+E(f93(x61),f93(x62)) % 186.59/186.37 [7]~E(x71,x72)+E(f181(x71),f181(x72)) % 186.59/186.37 [8]~E(x81,x82)+E(f862(x81,x83),f862(x82,x83)) % 186.59/186.37 [9]~E(x91,x92)+E(f862(x93,x91),f862(x93,x92)) % 186.59/186.37 [10]~E(x101,x102)+E(f94(x101),f94(x102)) % 186.59/186.37 [11]~E(x111,x112)+E(f225(x111),f225(x112)) % 186.59/186.37 [12]~E(x121,x122)+E(f103(x121),f103(x122)) % 186.59/186.37 [13]~E(x131,x132)+E(f226(x131),f226(x132)) % 186.59/186.37 [14]~E(x141,x142)+E(f95(x141),f95(x142)) % 186.59/186.37 [15]~E(x151,x152)+E(f25(x151),f25(x152)) % 186.59/186.37 [16]~E(x161,x162)+E(f77(x161),f77(x162)) % 186.59/186.37 [17]~E(x171,x172)+E(f20(x171,x173,x174),f20(x172,x173,x174)) % 186.59/186.37 [18]~E(x181,x182)+E(f20(x183,x181,x184),f20(x183,x182,x184)) % 186.59/186.37 [19]~E(x191,x192)+E(f20(x193,x194,x191),f20(x193,x194,x192)) % 186.59/186.37 [20]~E(x201,x202)+E(f227(x201),f227(x202)) % 186.59/186.37 [21]~E(x211,x212)+E(f925(x211),f925(x212)) % 186.59/186.37 [22]~E(x221,x222)+E(f71(x221),f71(x222)) % 186.59/186.37 [23]~E(x231,x232)+E(f534(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f534(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 186.59/186.37 [24]~E(x241,x242)+E(f534(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f534(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 186.59/186.37 [25]~E(x251,x252)+E(f534(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f534(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 186.59/186.37 [26]~E(x261,x262)+E(f534(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f534(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612)) % 186.59/186.37 [27]~E(x271,x272)+E(f534(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f534(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712)) % 186.59/186.37 [28]~E(x281,x282)+E(f534(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f534(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812)) % 186.59/186.37 [29]~E(x291,x292)+E(f534(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f534(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912)) % 186.59/186.37 [30]~E(x301,x302)+E(f534(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f534(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012)) % 186.59/186.37 [31]~E(x311,x312)+E(f534(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f534(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112)) % 186.59/186.37 [32]~E(x321,x322)+E(f534(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f534(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212)) % 186.59/186.37 [33]~E(x331,x332)+E(f534(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f534(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332)) % 186.59/186.37 [34]~E(x341,x342)+E(f254(x341),f254(x342)) % 186.59/186.37 [35]~E(x351,x352)+E(f6(x351),f6(x352)) % 186.59/186.37 [36]~E(x361,x362)+E(f533(x361,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f533(x362,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612)) % 186.59/186.37 [37]~E(x371,x372)+E(f533(x373,x371,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f533(x373,x372,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 186.59/186.37 [38]~E(x381,x382)+E(f533(x383,x384,x381,x385,x386,x387,x388,x389,x3810,x3811,x3812),f533(x383,x384,x382,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 186.59/186.37 [39]~E(x391,x392)+E(f533(x393,x394,x395,x391,x396,x397,x398,x399,x3910,x3911,x3912),f533(x393,x394,x395,x392,x396,x397,x398,x399,x3910,x3911,x3912)) % 186.59/186.37 [40]~E(x401,x402)+E(f533(x403,x404,x405,x406,x401,x407,x408,x409,x4010,x4011,x4012),f533(x403,x404,x405,x406,x402,x407,x408,x409,x4010,x4011,x4012)) % 186.59/186.37 [41]~E(x411,x412)+E(f533(x413,x414,x415,x416,x417,x411,x418,x419,x4110,x4111,x4112),f533(x413,x414,x415,x416,x417,x412,x418,x419,x4110,x4111,x4112)) % 186.59/186.37 [42]~E(x421,x422)+E(f533(x423,x424,x425,x426,x427,x428,x421,x429,x4210,x4211,x4212),f533(x423,x424,x425,x426,x427,x428,x422,x429,x4210,x4211,x4212)) % 186.59/186.37 [43]~E(x431,x432)+E(f533(x433,x434,x435,x436,x437,x438,x439,x431,x4310,x4311,x4312),f533(x433,x434,x435,x436,x437,x438,x439,x432,x4310,x4311,x4312)) % 186.59/186.37 [44]~E(x441,x442)+E(f533(x443,x444,x445,x446,x447,x448,x449,x4410,x441,x4411,x4412),f533(x443,x444,x445,x446,x447,x448,x449,x4410,x442,x4411,x4412)) % 186.59/186.37 [45]~E(x451,x452)+E(f533(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x451,x4512),f533(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x452,x4512)) % 186.59/186.37 [46]~E(x461,x462)+E(f533(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x461),f533(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x462)) % 186.59/186.37 [47]~E(x471,x472)+E(f321(x471),f321(x472)) % 186.59/186.37 [48]~E(x481,x482)+E(f104(x481),f104(x482)) % 186.59/186.37 [49]~E(x491,x492)+E(f932(x491,x493),f932(x492,x493)) % 186.59/186.37 [50]~E(x501,x502)+E(f932(x503,x501),f932(x503,x502)) % 186.59/186.37 [51]~E(x511,x512)+E(f923(x511),f923(x512)) % 186.59/186.37 [52]~E(x521,x522)+E(f928(x521),f928(x522)) % 186.59/186.37 [53]~E(x531,x532)+E(f84(x531),f84(x532)) % 186.59/186.37 [54]~E(x541,x542)+E(f926(x541),f926(x542)) % 186.59/186.37 [55]~E(x551,x552)+E(f299(x551,x553),f299(x552,x553)) % 186.59/186.37 [56]~E(x561,x562)+E(f299(x563,x561),f299(x563,x562)) % 186.59/186.37 [57]~E(x571,x572)+E(f10(x571,x573,x574),f10(x572,x573,x574)) % 186.59/186.37 [58]~E(x581,x582)+E(f10(x583,x581,x584),f10(x583,x582,x584)) % 186.59/186.37 [59]~E(x591,x592)+E(f10(x593,x594,x591),f10(x593,x594,x592)) % 186.59/186.37 [60]~E(x601,x602)+E(f301(x601),f301(x602)) % 186.59/186.37 [61]~E(x611,x612)+E(f54(x611),f54(x612)) % 186.59/186.37 [62]~E(x621,x622)+E(f72(x621),f72(x622)) % 186.59/186.37 [63]~E(x631,x632)+E(f74(x631),f74(x632)) % 186.59/186.37 [64]~E(x641,x642)+E(f96(x641),f96(x642)) % 186.59/186.37 [65]~E(x651,x652)+E(f313(x651,x653,x654),f313(x652,x653,x654)) % 186.59/186.37 [66]~E(x661,x662)+E(f313(x663,x661,x664),f313(x663,x662,x664)) % 186.59/186.37 [67]~E(x671,x672)+E(f313(x673,x674,x671),f313(x673,x674,x672)) % 186.59/186.37 [68]~E(x681,x682)+E(f182(x681),f182(x682)) % 186.59/186.37 [69]~E(x691,x692)+E(f73(x691),f73(x692)) % 186.59/186.37 [70]~E(x701,x702)+E(f228(x701),f228(x702)) % 186.59/186.37 [71]~E(x711,x712)+E(f931(x711,x713),f931(x712,x713)) % 186.59/186.37 [72]~E(x721,x722)+E(f931(x723,x721),f931(x723,x722)) % 186.59/186.37 [73]~E(x731,x732)+E(f165(x731),f165(x732)) % 186.59/186.37 [74]~E(x741,x742)+E(f787(x741,x743,x744,x745),f787(x742,x743,x744,x745)) % 186.59/186.37 [75]~E(x751,x752)+E(f787(x753,x751,x754,x755),f787(x753,x752,x754,x755)) % 186.59/186.37 [76]~E(x761,x762)+E(f787(x763,x764,x761,x765),f787(x763,x764,x762,x765)) % 186.59/186.37 [77]~E(x771,x772)+E(f787(x773,x774,x775,x771),f787(x773,x774,x775,x772)) % 186.59/186.37 [78]~E(x781,x782)+E(f9(x781,x783,x784),f9(x782,x783,x784)) % 186.59/186.37 [79]~E(x791,x792)+E(f9(x793,x791,x794),f9(x793,x792,x794)) % 186.59/186.37 [80]~E(x801,x802)+E(f9(x803,x804,x801),f9(x803,x804,x802)) % 186.59/186.37 [81]~E(x811,x812)+E(f243(x811,x813),f243(x812,x813)) % 186.59/186.37 [82]~E(x821,x822)+E(f243(x823,x821),f243(x823,x822)) % 186.59/186.37 [83]~E(x831,x832)+E(f58(x831,x833,x834),f58(x832,x833,x834)) % 186.59/186.37 [84]~E(x841,x842)+E(f58(x843,x841,x844),f58(x843,x842,x844)) % 186.59/186.37 [85]~E(x851,x852)+E(f58(x853,x854,x851),f58(x853,x854,x852)) % 186.59/186.37 [86]~E(x861,x862)+E(f127(x861),f127(x862)) % 186.59/186.37 [87]~E(x871,x872)+E(f786(x871,x873,x874,x875),f786(x872,x873,x874,x875)) % 186.59/186.37 [88]~E(x881,x882)+E(f786(x883,x881,x884,x885),f786(x883,x882,x884,x885)) % 186.59/186.37 [89]~E(x891,x892)+E(f786(x893,x894,x891,x895),f786(x893,x894,x892,x895)) % 186.59/186.37 [90]~E(x901,x902)+E(f786(x903,x904,x905,x901),f786(x903,x904,x905,x902)) % 186.59/186.37 [91]~E(x911,x912)+E(f815(x911,x913,x914),f815(x912,x913,x914)) % 186.59/186.37 [92]~E(x921,x922)+E(f815(x923,x921,x924),f815(x923,x922,x924)) % 186.59/186.37 [93]~E(x931,x932)+E(f815(x933,x934,x931),f815(x933,x934,x932)) % 186.59/186.37 [94]~E(x941,x942)+E(f420(x941,x943,x944),f420(x942,x943,x944)) % 186.59/186.37 [95]~E(x951,x952)+E(f420(x953,x951,x954),f420(x953,x952,x954)) % 186.59/186.37 [96]~E(x961,x962)+E(f420(x963,x964,x961),f420(x963,x964,x962)) % 186.59/186.37 [97]~E(x971,x972)+E(f629(x971,x973,x974),f629(x972,x973,x974)) % 186.59/186.37 [98]~E(x981,x982)+E(f629(x983,x981,x984),f629(x983,x982,x984)) % 186.59/186.37 [99]~E(x991,x992)+E(f629(x993,x994,x991),f629(x993,x994,x992)) % 186.59/186.37 [100]~E(x1001,x1002)+E(f53(x1001),f53(x1002)) % 186.59/186.37 [101]~E(x1011,x1012)+E(f302(x1011,x1013,x1014),f302(x1012,x1013,x1014)) % 186.59/186.37 [102]~E(x1021,x1022)+E(f302(x1023,x1021,x1024),f302(x1023,x1022,x1024)) % 186.59/186.37 [103]~E(x1031,x1032)+E(f302(x1033,x1034,x1031),f302(x1033,x1034,x1032)) % 186.59/186.37 [104]~E(x1041,x1042)+E(f280(x1041,x1043,x1044),f280(x1042,x1043,x1044)) % 186.59/186.37 [105]~E(x1051,x1052)+E(f280(x1053,x1051,x1054),f280(x1053,x1052,x1054)) % 186.59/186.37 [106]~E(x1061,x1062)+E(f280(x1063,x1064,x1061),f280(x1063,x1064,x1062)) % 186.59/186.37 [107]~E(x1071,x1072)+E(f277(x1071,x1073),f277(x1072,x1073)) % 186.59/186.37 [108]~E(x1081,x1082)+E(f277(x1083,x1081),f277(x1083,x1082)) % 186.59/186.37 [109]~E(x1091,x1092)+E(f868(x1091,x1093,x1094),f868(x1092,x1093,x1094)) % 186.59/186.37 [110]~E(x1101,x1102)+E(f868(x1103,x1101,x1104),f868(x1103,x1102,x1104)) % 186.59/186.37 [111]~E(x1111,x1112)+E(f868(x1113,x1114,x1111),f868(x1113,x1114,x1112)) % 186.59/186.37 [112]~E(x1121,x1122)+E(f150(x1121,x1123),f150(x1122,x1123)) % 186.59/186.37 [113]~E(x1131,x1132)+E(f150(x1133,x1131),f150(x1133,x1132)) % 186.59/186.37 [114]~E(x1141,x1142)+E(f30(x1141,x1143),f30(x1142,x1143)) % 186.59/186.37 [115]~E(x1151,x1152)+E(f30(x1153,x1151),f30(x1153,x1152)) % 186.59/186.37 [116]~E(x1161,x1162)+E(f29(x1161),f29(x1162)) % 186.59/186.37 [117]~E(x1171,x1172)+E(f363(x1171,x1173,x1174),f363(x1172,x1173,x1174)) % 186.59/186.37 [118]~E(x1181,x1182)+E(f363(x1183,x1181,x1184),f363(x1183,x1182,x1184)) % 186.59/186.37 [119]~E(x1191,x1192)+E(f363(x1193,x1194,x1191),f363(x1193,x1194,x1192)) % 186.59/186.37 [120]~E(x1201,x1202)+E(f734(x1201,x1203,x1204),f734(x1202,x1203,x1204)) % 186.59/186.37 [121]~E(x1211,x1212)+E(f734(x1213,x1211,x1214),f734(x1213,x1212,x1214)) % 186.59/186.37 [122]~E(x1221,x1222)+E(f734(x1223,x1224,x1221),f734(x1223,x1224,x1222)) % 186.59/186.37 [123]~E(x1231,x1232)+E(f307(x1231,x1233),f307(x1232,x1233)) % 186.59/186.37 [124]~E(x1241,x1242)+E(f307(x1243,x1241),f307(x1243,x1242)) % 186.59/186.37 [125]~E(x1251,x1252)+E(f678(x1251,x1253,x1254),f678(x1252,x1253,x1254)) % 186.59/186.37 [126]~E(x1261,x1262)+E(f678(x1263,x1261,x1264),f678(x1263,x1262,x1264)) % 186.59/186.37 [127]~E(x1271,x1272)+E(f678(x1273,x1274,x1271),f678(x1273,x1274,x1272)) % 186.59/186.37 [128]~E(x1281,x1282)+E(f157(x1281),f157(x1282)) % 186.59/186.37 [129]~E(x1291,x1292)+E(f295(x1291,x1293),f295(x1292,x1293)) % 186.59/186.37 [130]~E(x1301,x1302)+E(f295(x1303,x1301),f295(x1303,x1302)) % 186.59/186.37 [131]~E(x1311,x1312)+E(f147(x1311,x1313),f147(x1312,x1313)) % 186.59/186.37 [132]~E(x1321,x1322)+E(f147(x1323,x1321),f147(x1323,x1322)) % 186.59/186.37 [133]~E(x1331,x1332)+E(f143(x1331,x1333,x1334,x1335),f143(x1332,x1333,x1334,x1335)) % 186.59/186.37 [134]~E(x1341,x1342)+E(f143(x1343,x1341,x1344,x1345),f143(x1343,x1342,x1344,x1345)) % 186.59/186.37 [135]~E(x1351,x1352)+E(f143(x1353,x1354,x1351,x1355),f143(x1353,x1354,x1352,x1355)) % 186.59/186.37 [136]~E(x1361,x1362)+E(f143(x1363,x1364,x1365,x1361),f143(x1363,x1364,x1365,x1362)) % 186.59/186.37 [137]~E(x1371,x1372)+E(f161(x1371),f161(x1372)) % 186.59/186.37 [138]~E(x1381,x1382)+E(f256(x1381,x1383),f256(x1382,x1383)) % 186.59/186.37 [139]~E(x1391,x1392)+E(f256(x1393,x1391),f256(x1393,x1392)) % 186.59/186.37 [140]~E(x1401,x1402)+E(f7(x1401),f7(x1402)) % 186.59/186.37 [141]~E(x1411,x1412)+E(f486(x1411,x1413,x1414,x1415),f486(x1412,x1413,x1414,x1415)) % 186.59/186.37 [142]~E(x1421,x1422)+E(f486(x1423,x1421,x1424,x1425),f486(x1423,x1422,x1424,x1425)) % 186.59/186.37 [143]~E(x1431,x1432)+E(f486(x1433,x1434,x1431,x1435),f486(x1433,x1434,x1432,x1435)) % 186.59/186.37 [144]~E(x1441,x1442)+E(f486(x1443,x1444,x1445,x1441),f486(x1443,x1444,x1445,x1442)) % 186.59/186.37 [145]~E(x1451,x1452)+E(f18(x1451,x1453),f18(x1452,x1453)) % 186.59/186.37 [146]~E(x1461,x1462)+E(f18(x1463,x1461),f18(x1463,x1462)) % 186.59/186.37 [147]~E(x1471,x1472)+E(f11(x1471,x1473),f11(x1472,x1473)) % 186.59/186.37 [148]~E(x1481,x1482)+E(f11(x1483,x1481),f11(x1483,x1482)) % 186.59/186.37 [149]~E(x1491,x1492)+E(f282(x1491),f282(x1492)) % 186.59/186.37 [150]~E(x1501,x1502)+E(f106(x1501),f106(x1502)) % 186.59/186.37 [151]~E(x1511,x1512)+E(f98(x1511),f98(x1512)) % 186.59/186.37 [152]~E(x1521,x1522)+E(f99(x1521),f99(x1522)) % 186.59/186.37 [153]~E(x1531,x1532)+E(f320(x1531),f320(x1532)) % 186.59/186.37 [154]~E(x1541,x1542)+E(f131(x1541),f131(x1542)) % 186.59/186.37 [155]~E(x1551,x1552)+E(f587(x1551),f587(x1552)) % 186.59/186.37 [156]~E(x1561,x1562)+E(f132(x1561,x1563),f132(x1562,x1563)) % 186.59/186.37 [157]~E(x1571,x1572)+E(f132(x1573,x1571),f132(x1573,x1572)) % 186.59/186.37 [158]~E(x1581,x1582)+E(f129(x1581,x1583),f129(x1582,x1583)) % 186.59/186.37 [159]~E(x1591,x1592)+E(f129(x1593,x1591),f129(x1593,x1592)) % 186.59/186.37 [160]~E(x1601,x1602)+E(f233(x1601,x1603),f233(x1602,x1603)) % 186.59/186.37 [161]~E(x1611,x1612)+E(f233(x1613,x1611),f233(x1613,x1612)) % 186.59/186.37 [162]~E(x1621,x1622)+E(f244(x1621,x1623),f244(x1622,x1623)) % 186.59/186.37 [163]~E(x1631,x1632)+E(f244(x1633,x1631),f244(x1633,x1632)) % 186.59/186.37 [164]~E(x1641,x1642)+E(f78(x1641,x1643),f78(x1642,x1643)) % 186.59/186.37 [165]~E(x1651,x1652)+E(f78(x1653,x1651),f78(x1653,x1652)) % 186.59/186.37 [166]~E(x1661,x1662)+E(f130(x1661),f130(x1662)) % 186.59/186.37 [167]~E(x1671,x1672)+E(f672(x1671,x1673),f672(x1672,x1673)) % 186.59/186.37 [168]~E(x1681,x1682)+E(f672(x1683,x1681),f672(x1683,x1682)) % 186.59/186.37 [169]~E(x1691,x1692)+E(f840(x1691,x1693,x1694),f840(x1692,x1693,x1694)) % 186.59/186.37 [170]~E(x1701,x1702)+E(f840(x1703,x1701,x1704),f840(x1703,x1702,x1704)) % 186.59/186.37 [171]~E(x1711,x1712)+E(f840(x1713,x1714,x1711),f840(x1713,x1714,x1712)) % 186.59/186.37 [172]~E(x1721,x1722)+E(f170(x1721,x1723,x1724),f170(x1722,x1723,x1724)) % 186.59/186.37 [173]~E(x1731,x1732)+E(f170(x1733,x1731,x1734),f170(x1733,x1732,x1734)) % 186.59/186.37 [174]~E(x1741,x1742)+E(f170(x1743,x1744,x1741),f170(x1743,x1744,x1742)) % 186.59/186.37 [175]~E(x1751,x1752)+E(f144(x1751),f144(x1752)) % 186.59/186.37 [176]~E(x1761,x1762)+E(f622(x1761,x1763,x1764,x1765),f622(x1762,x1763,x1764,x1765)) % 186.59/186.37 [177]~E(x1771,x1772)+E(f622(x1773,x1771,x1774,x1775),f622(x1773,x1772,x1774,x1775)) % 186.59/186.37 [178]~E(x1781,x1782)+E(f622(x1783,x1784,x1781,x1785),f622(x1783,x1784,x1782,x1785)) % 186.59/186.37 [179]~E(x1791,x1792)+E(f622(x1793,x1794,x1795,x1791),f622(x1793,x1794,x1795,x1792)) % 186.59/186.37 [180]~E(x1801,x1802)+E(f57(x1801,x1803,x1804),f57(x1802,x1803,x1804)) % 186.59/186.37 [181]~E(x1811,x1812)+E(f57(x1813,x1811,x1814),f57(x1813,x1812,x1814)) % 186.59/186.37 [182]~E(x1821,x1822)+E(f57(x1823,x1824,x1821),f57(x1823,x1824,x1822)) % 186.59/186.37 [183]~E(x1831,x1832)+E(f497(x1831,x1833,x1834),f497(x1832,x1833,x1834)) % 186.59/186.37 [184]~E(x1841,x1842)+E(f497(x1843,x1841,x1844),f497(x1843,x1842,x1844)) % 186.59/186.37 [185]~E(x1851,x1852)+E(f497(x1853,x1854,x1851),f497(x1853,x1854,x1852)) % 186.59/186.37 [186]~E(x1861,x1862)+E(f172(x1861,x1863),f172(x1862,x1863)) % 186.59/186.37 [187]~E(x1871,x1872)+E(f172(x1873,x1871),f172(x1873,x1872)) % 186.59/186.37 [188]~E(x1881,x1882)+E(f79(x1881,x1883),f79(x1882,x1883)) % 186.59/186.37 [189]~E(x1891,x1892)+E(f79(x1893,x1891),f79(x1893,x1892)) % 186.59/186.37 [190]~E(x1901,x1902)+E(f38(x1901,x1903,x1904),f38(x1902,x1903,x1904)) % 186.59/186.37 [191]~E(x1911,x1912)+E(f38(x1913,x1911,x1914),f38(x1913,x1912,x1914)) % 186.59/186.37 [192]~E(x1921,x1922)+E(f38(x1923,x1924,x1921),f38(x1923,x1924,x1922)) % 186.59/186.37 [193]~E(x1931,x1932)+E(f234(x1931),f234(x1932)) % 186.59/186.37 [194]~E(x1941,x1942)+E(f873(x1941,x1943,x1944),f873(x1942,x1943,x1944)) % 186.59/186.37 [195]~E(x1951,x1952)+E(f873(x1953,x1951,x1954),f873(x1953,x1952,x1954)) % 186.59/186.37 [196]~E(x1961,x1962)+E(f873(x1963,x1964,x1961),f873(x1963,x1964,x1962)) % 186.59/186.37 [197]~E(x1971,x1972)+E(f66(x1971,x1973,x1974,x1975),f66(x1972,x1973,x1974,x1975)) % 186.59/186.37 [198]~E(x1981,x1982)+E(f66(x1983,x1981,x1984,x1985),f66(x1983,x1982,x1984,x1985)) % 186.59/186.37 [199]~E(x1991,x1992)+E(f66(x1993,x1994,x1991,x1995),f66(x1993,x1994,x1992,x1995)) % 186.59/186.37 [200]~E(x2001,x2002)+E(f66(x2003,x2004,x2005,x2001),f66(x2003,x2004,x2005,x2002)) % 186.59/186.37 [201]~E(x2011,x2012)+E(f408(x2011,x2013,x2014),f408(x2012,x2013,x2014)) % 186.59/186.37 [202]~E(x2021,x2022)+E(f408(x2023,x2021,x2024),f408(x2023,x2022,x2024)) % 186.59/186.37 [203]~E(x2031,x2032)+E(f408(x2033,x2034,x2031),f408(x2033,x2034,x2032)) % 186.59/186.37 [204]~E(x2041,x2042)+E(f249(x2041,x2043,x2044),f249(x2042,x2043,x2044)) % 186.59/186.37 [205]~E(x2051,x2052)+E(f249(x2053,x2051,x2054),f249(x2053,x2052,x2054)) % 186.59/186.37 [206]~E(x2061,x2062)+E(f249(x2063,x2064,x2061),f249(x2063,x2064,x2062)) % 186.59/186.37 [207]~E(x2071,x2072)+E(f236(x2071),f236(x2072)) % 186.59/186.37 [208]~E(x2081,x2082)+E(f872(x2081,x2083,x2084),f872(x2082,x2083,x2084)) % 186.59/186.37 [209]~E(x2091,x2092)+E(f872(x2093,x2091,x2094),f872(x2093,x2092,x2094)) % 186.59/186.37 [210]~E(x2101,x2102)+E(f872(x2103,x2104,x2101),f872(x2103,x2104,x2102)) % 186.59/186.37 [211]~E(x2111,x2112)+E(f14(x2111,x2113,x2114),f14(x2112,x2113,x2114)) % 186.59/186.37 [212]~E(x2121,x2122)+E(f14(x2123,x2121,x2124),f14(x2123,x2122,x2124)) % 186.59/186.37 [213]~E(x2131,x2132)+E(f14(x2133,x2134,x2131),f14(x2133,x2134,x2132)) % 186.59/186.37 [214]~E(x2141,x2142)+E(f784(x2141,x2143,x2144,x2145),f784(x2142,x2143,x2144,x2145)) % 186.59/186.37 [215]~E(x2151,x2152)+E(f784(x2153,x2151,x2154,x2155),f784(x2153,x2152,x2154,x2155)) % 186.59/186.37 [216]~E(x2161,x2162)+E(f784(x2163,x2164,x2161,x2165),f784(x2163,x2164,x2162,x2165)) % 186.59/186.37 [217]~E(x2171,x2172)+E(f784(x2173,x2174,x2175,x2171),f784(x2173,x2174,x2175,x2172)) % 186.59/186.37 [218]~E(x2181,x2182)+E(f298(x2181,x2183,x2184),f298(x2182,x2183,x2184)) % 186.59/186.37 [219]~E(x2191,x2192)+E(f298(x2193,x2191,x2194),f298(x2193,x2192,x2194)) % 186.59/186.37 [220]~E(x2201,x2202)+E(f298(x2203,x2204,x2201),f298(x2203,x2204,x2202)) % 186.59/186.37 [221]~E(x2211,x2212)+E(f8(x2211,x2213),f8(x2212,x2213)) % 186.59/186.37 [222]~E(x2221,x2222)+E(f8(x2223,x2221),f8(x2223,x2222)) % 186.59/186.37 [223]~E(x2231,x2232)+E(f28(x2231),f28(x2232)) % 186.59/186.37 [224]~E(x2241,x2242)+E(f747(x2241,x2243,x2244,x2245),f747(x2242,x2243,x2244,x2245)) % 186.59/186.37 [225]~E(x2251,x2252)+E(f747(x2253,x2251,x2254,x2255),f747(x2253,x2252,x2254,x2255)) % 186.59/186.37 [226]~E(x2261,x2262)+E(f747(x2263,x2264,x2261,x2265),f747(x2263,x2264,x2262,x2265)) % 186.59/186.37 [227]~E(x2271,x2272)+E(f747(x2273,x2274,x2275,x2271),f747(x2273,x2274,x2275,x2272)) % 186.59/186.37 [228]~E(x2281,x2282)+E(f178(x2281,x2283,x2284,x2285),f178(x2282,x2283,x2284,x2285)) % 186.59/186.37 [229]~E(x2291,x2292)+E(f178(x2293,x2291,x2294,x2295),f178(x2293,x2292,x2294,x2295)) % 186.59/186.37 [230]~E(x2301,x2302)+E(f178(x2303,x2304,x2301,x2305),f178(x2303,x2304,x2302,x2305)) % 186.59/186.37 [231]~E(x2311,x2312)+E(f178(x2313,x2314,x2315,x2311),f178(x2313,x2314,x2315,x2312)) % 186.59/186.37 [232]~E(x2321,x2322)+E(f33(x2321,x2323),f33(x2322,x2323)) % 186.59/186.37 [233]~E(x2331,x2332)+E(f33(x2333,x2331),f33(x2333,x2332)) % 186.59/186.37 [234]~E(x2341,x2342)+E(f213(x2341,x2343,x2344,x2345),f213(x2342,x2343,x2344,x2345)) % 186.59/186.37 [235]~E(x2351,x2352)+E(f213(x2353,x2351,x2354,x2355),f213(x2353,x2352,x2354,x2355)) % 186.59/186.37 [236]~E(x2361,x2362)+E(f213(x2363,x2364,x2361,x2365),f213(x2363,x2364,x2362,x2365)) % 186.59/186.37 [237]~E(x2371,x2372)+E(f213(x2373,x2374,x2375,x2371),f213(x2373,x2374,x2375,x2372)) % 186.59/186.37 [238]~E(x2381,x2382)+E(f909(x2381,x2383,x2384,x2385),f909(x2382,x2383,x2384,x2385)) % 186.59/186.37 [239]~E(x2391,x2392)+E(f909(x2393,x2391,x2394,x2395),f909(x2393,x2392,x2394,x2395)) % 186.59/186.37 [240]~E(x2401,x2402)+E(f909(x2403,x2404,x2401,x2405),f909(x2403,x2404,x2402,x2405)) % 186.59/186.37 [241]~E(x2411,x2412)+E(f909(x2413,x2414,x2415,x2411),f909(x2413,x2414,x2415,x2412)) % 186.59/186.37 [242]~E(x2421,x2422)+E(f152(x2421,x2423),f152(x2422,x2423)) % 186.59/186.37 [243]~E(x2431,x2432)+E(f152(x2433,x2431),f152(x2433,x2432)) % 186.59/186.37 [244]~E(x2441,x2442)+E(f86(x2441,x2443,x2444,x2445),f86(x2442,x2443,x2444,x2445)) % 186.59/186.37 [245]~E(x2451,x2452)+E(f86(x2453,x2451,x2454,x2455),f86(x2453,x2452,x2454,x2455)) % 186.59/186.37 [246]~E(x2461,x2462)+E(f86(x2463,x2464,x2461,x2465),f86(x2463,x2464,x2462,x2465)) % 186.59/186.37 [247]~E(x2471,x2472)+E(f86(x2473,x2474,x2475,x2471),f86(x2473,x2474,x2475,x2472)) % 186.59/186.37 [248]~E(x2481,x2482)+E(f327(x2481,x2483,x2484),f327(x2482,x2483,x2484)) % 186.59/186.37 [249]~E(x2491,x2492)+E(f327(x2493,x2491,x2494),f327(x2493,x2492,x2494)) % 186.59/186.37 [250]~E(x2501,x2502)+E(f327(x2503,x2504,x2501),f327(x2503,x2504,x2502)) % 186.59/186.37 [251]~E(x2511,x2512)+E(f52(x2511,x2513,x2514,x2515),f52(x2512,x2513,x2514,x2515)) % 186.59/186.37 [252]~E(x2521,x2522)+E(f52(x2523,x2521,x2524,x2525),f52(x2523,x2522,x2524,x2525)) % 186.59/186.37 [253]~E(x2531,x2532)+E(f52(x2533,x2534,x2531,x2535),f52(x2533,x2534,x2532,x2535)) % 186.59/186.37 [254]~E(x2541,x2542)+E(f52(x2543,x2544,x2545,x2541),f52(x2543,x2544,x2545,x2542)) % 186.59/186.37 [255]~E(x2551,x2552)+E(f148(x2551,x2553,x2554),f148(x2552,x2553,x2554)) % 186.59/186.37 [256]~E(x2561,x2562)+E(f148(x2563,x2561,x2564),f148(x2563,x2562,x2564)) % 186.59/186.37 [257]~E(x2571,x2572)+E(f148(x2573,x2574,x2571),f148(x2573,x2574,x2572)) % 186.59/186.37 [258]~E(x2581,x2582)+E(f448(x2581,x2583,x2584),f448(x2582,x2583,x2584)) % 186.59/186.37 [259]~E(x2591,x2592)+E(f448(x2593,x2591,x2594),f448(x2593,x2592,x2594)) % 186.59/186.37 [260]~E(x2601,x2602)+E(f448(x2603,x2604,x2601),f448(x2603,x2604,x2602)) % 186.59/186.37 [261]~E(x2611,x2612)+E(f17(x2611,x2613),f17(x2612,x2613)) % 186.59/186.37 [262]~E(x2621,x2622)+E(f17(x2623,x2621),f17(x2623,x2622)) % 186.59/186.37 [263]~E(x2631,x2632)+E(f276(x2631,x2633,x2634),f276(x2632,x2633,x2634)) % 186.59/186.37 [264]~E(x2641,x2642)+E(f276(x2643,x2641,x2644),f276(x2643,x2642,x2644)) % 186.59/186.37 [265]~E(x2651,x2652)+E(f276(x2653,x2654,x2651),f276(x2653,x2654,x2652)) % 186.59/186.37 [266]~E(x2661,x2662)+E(f402(x2661,x2663,x2664,x2665),f402(x2662,x2663,x2664,x2665)) % 186.59/186.37 [267]~E(x2671,x2672)+E(f402(x2673,x2671,x2674,x2675),f402(x2673,x2672,x2674,x2675)) % 186.59/186.37 [268]~E(x2681,x2682)+E(f402(x2683,x2684,x2681,x2685),f402(x2683,x2684,x2682,x2685)) % 186.59/186.37 [269]~E(x2691,x2692)+E(f402(x2693,x2694,x2695,x2691),f402(x2693,x2694,x2695,x2692)) % 186.59/186.37 [270]~E(x2701,x2702)+E(f89(x2701),f89(x2702)) % 186.59/186.37 [271]~E(x2711,x2712)+E(f681(x2711,x2713),f681(x2712,x2713)) % 186.59/186.37 [272]~E(x2721,x2722)+E(f681(x2723,x2721),f681(x2723,x2722)) % 186.59/186.37 [273]~E(x2731,x2732)+E(f107(x2731,x2733),f107(x2732,x2733)) % 186.59/186.37 [274]~E(x2741,x2742)+E(f107(x2743,x2741),f107(x2743,x2742)) % 186.59/186.37 [275]~E(x2751,x2752)+E(f393(x2751,x2753,x2754),f393(x2752,x2753,x2754)) % 186.59/186.37 [276]~E(x2761,x2762)+E(f393(x2763,x2761,x2764),f393(x2763,x2762,x2764)) % 186.59/186.37 [277]~E(x2771,x2772)+E(f393(x2773,x2774,x2771),f393(x2773,x2774,x2772)) % 186.59/186.37 [278]~E(x2781,x2782)+E(f278(x2781),f278(x2782)) % 186.59/186.37 [279]~E(x2791,x2792)+E(f145(x2791,x2793),f145(x2792,x2793)) % 186.59/186.37 [280]~E(x2801,x2802)+E(f145(x2803,x2801),f145(x2803,x2802)) % 186.59/186.37 [281]~E(x2811,x2812)+E(f120(x2811,x2813,x2814,x2815,x2816),f120(x2812,x2813,x2814,x2815,x2816)) % 186.59/186.37 [282]~E(x2821,x2822)+E(f120(x2823,x2821,x2824,x2825,x2826),f120(x2823,x2822,x2824,x2825,x2826)) % 186.59/186.37 [283]~E(x2831,x2832)+E(f120(x2833,x2834,x2831,x2835,x2836),f120(x2833,x2834,x2832,x2835,x2836)) % 186.59/186.37 [284]~E(x2841,x2842)+E(f120(x2843,x2844,x2845,x2841,x2846),f120(x2843,x2844,x2845,x2842,x2846)) % 186.59/186.37 [285]~E(x2851,x2852)+E(f120(x2853,x2854,x2855,x2856,x2851),f120(x2853,x2854,x2855,x2856,x2852)) % 186.59/186.37 [286]~E(x2861,x2862)+E(f184(x2861),f184(x2862)) % 186.59/186.37 [287]~E(x2871,x2872)+E(f208(x2871,x2873),f208(x2872,x2873)) % 186.59/186.37 [288]~E(x2881,x2882)+E(f208(x2883,x2881),f208(x2883,x2882)) % 186.59/186.37 [289]~E(x2891,x2892)+E(f108(x2891),f108(x2892)) % 186.59/186.37 [290]~E(x2901,x2902)+E(f930(x2901,x2903),f930(x2902,x2903)) % 186.59/186.37 [291]~E(x2911,x2912)+E(f930(x2913,x2911),f930(x2913,x2912)) % 186.59/186.37 [292]~E(x2921,x2922)+E(f250(x2921,x2923,x2924,x2925,x2926,x2927),f250(x2922,x2923,x2924,x2925,x2926,x2927)) % 186.59/186.37 [293]~E(x2931,x2932)+E(f250(x2933,x2931,x2934,x2935,x2936,x2937),f250(x2933,x2932,x2934,x2935,x2936,x2937)) % 186.59/186.37 [294]~E(x2941,x2942)+E(f250(x2943,x2944,x2941,x2945,x2946,x2947),f250(x2943,x2944,x2942,x2945,x2946,x2947)) % 186.59/186.37 [295]~E(x2951,x2952)+E(f250(x2953,x2954,x2955,x2951,x2956,x2957),f250(x2953,x2954,x2955,x2952,x2956,x2957)) % 186.59/186.37 [296]~E(x2961,x2962)+E(f250(x2963,x2964,x2965,x2966,x2961,x2967),f250(x2963,x2964,x2965,x2966,x2962,x2967)) % 186.59/186.37 [297]~E(x2971,x2972)+E(f250(x2973,x2974,x2975,x2976,x2977,x2971),f250(x2973,x2974,x2975,x2976,x2977,x2972)) % 186.59/186.37 [298]~E(x2981,x2982)+E(f929(x2981,x2983),f929(x2982,x2983)) % 186.59/186.37 [299]~E(x2991,x2992)+E(f929(x2993,x2991),f929(x2993,x2992)) % 186.59/186.37 [300]~E(x3001,x3002)+E(f68(x3001,x3003,x3004,x3005,x3006),f68(x3002,x3003,x3004,x3005,x3006)) % 186.59/186.37 [301]~E(x3011,x3012)+E(f68(x3013,x3011,x3014,x3015,x3016),f68(x3013,x3012,x3014,x3015,x3016)) % 186.59/186.37 [302]~E(x3021,x3022)+E(f68(x3023,x3024,x3021,x3025,x3026),f68(x3023,x3024,x3022,x3025,x3026)) % 186.59/186.37 [303]~E(x3031,x3032)+E(f68(x3033,x3034,x3035,x3031,x3036),f68(x3033,x3034,x3035,x3032,x3036)) % 186.59/186.37 [304]~E(x3041,x3042)+E(f68(x3043,x3044,x3045,x3046,x3041),f68(x3043,x3044,x3045,x3046,x3042)) % 186.59/186.37 [305]~E(x3051,x3052)+E(f112(x3051),f112(x3052)) % 186.59/186.37 [306]~E(x3061,x3062)+E(f69(x3061),f69(x3062)) % 186.59/186.37 [307]~E(x3071,x3072)+E(f160(x3071),f160(x3072)) % 186.59/186.37 [308]~E(x3081,x3082)+E(f248(x3081,x3083),f248(x3082,x3083)) % 186.59/186.37 [309]~E(x3091,x3092)+E(f248(x3093,x3091),f248(x3093,x3092)) % 186.59/186.37 [310]~E(x3101,x3102)+E(f720(x3101,x3103,x3104),f720(x3102,x3103,x3104)) % 186.59/186.37 [311]~E(x3111,x3112)+E(f720(x3113,x3111,x3114),f720(x3113,x3112,x3114)) % 186.59/186.37 [312]~E(x3121,x3122)+E(f720(x3123,x3124,x3121),f720(x3123,x3124,x3122)) % 186.59/186.37 [313]~E(x3131,x3132)+E(f727(x3131,x3133),f727(x3132,x3133)) % 186.59/186.37 [314]~E(x3141,x3142)+E(f727(x3143,x3141),f727(x3143,x3142)) % 186.59/186.37 [315]~E(x3151,x3152)+E(f164(x3151),f164(x3152)) % 186.59/186.37 [316]~E(x3161,x3162)+E(f158(x3161),f158(x3162)) % 186.59/186.37 [317]~E(x3171,x3172)+E(f124(x3171,x3173,x3174,x3175),f124(x3172,x3173,x3174,x3175)) % 186.59/186.37 [318]~E(x3181,x3182)+E(f124(x3183,x3181,x3184,x3185),f124(x3183,x3182,x3184,x3185)) % 186.59/186.37 [319]~E(x3191,x3192)+E(f124(x3193,x3194,x3191,x3195),f124(x3193,x3194,x3192,x3195)) % 186.59/186.37 [320]~E(x3201,x3202)+E(f124(x3203,x3204,x3205,x3201),f124(x3203,x3204,x3205,x3202)) % 186.59/186.37 [321]~E(x3211,x3212)+E(f141(x3211,x3213,x3214),f141(x3212,x3213,x3214)) % 186.59/186.37 [322]~E(x3221,x3222)+E(f141(x3223,x3221,x3224),f141(x3223,x3222,x3224)) % 186.59/186.37 [323]~E(x3231,x3232)+E(f141(x3233,x3234,x3231),f141(x3233,x3234,x3232)) % 186.59/186.37 [324]~E(x3241,x3242)+E(f119(x3241,x3243,x3244),f119(x3242,x3243,x3244)) % 186.59/186.37 [325]~E(x3251,x3252)+E(f119(x3253,x3251,x3254),f119(x3253,x3252,x3254)) % 186.59/186.37 [326]~E(x3261,x3262)+E(f119(x3263,x3264,x3261),f119(x3263,x3264,x3262)) % 186.59/186.37 [327]~E(x3271,x3272)+E(f32(x3271,x3273),f32(x3272,x3273)) % 186.59/186.37 [328]~E(x3281,x3282)+E(f32(x3283,x3281),f32(x3283,x3282)) % 186.59/186.37 [329]~E(x3291,x3292)+E(f908(x3291,x3293,x3294,x3295,x3296,x3297,x3298),f908(x3292,x3293,x3294,x3295,x3296,x3297,x3298)) % 186.59/186.37 [330]~E(x3301,x3302)+E(f908(x3303,x3301,x3304,x3305,x3306,x3307,x3308),f908(x3303,x3302,x3304,x3305,x3306,x3307,x3308)) % 186.59/186.37 [331]~E(x3311,x3312)+E(f908(x3313,x3314,x3311,x3315,x3316,x3317,x3318),f908(x3313,x3314,x3312,x3315,x3316,x3317,x3318)) % 186.59/186.37 [332]~E(x3321,x3322)+E(f908(x3323,x3324,x3325,x3321,x3326,x3327,x3328),f908(x3323,x3324,x3325,x3322,x3326,x3327,x3328)) % 186.59/186.37 [333]~E(x3331,x3332)+E(f908(x3333,x3334,x3335,x3336,x3331,x3337,x3338),f908(x3333,x3334,x3335,x3336,x3332,x3337,x3338)) % 186.59/186.37 [334]~E(x3341,x3342)+E(f908(x3343,x3344,x3345,x3346,x3347,x3341,x3348),f908(x3343,x3344,x3345,x3346,x3347,x3342,x3348)) % 186.59/186.37 [335]~E(x3351,x3352)+E(f908(x3353,x3354,x3355,x3356,x3357,x3358,x3351),f908(x3353,x3354,x3355,x3356,x3357,x3358,x3352)) % 186.59/186.37 [336]~E(x3361,x3362)+E(f434(x3361,x3363,x3364),f434(x3362,x3363,x3364)) % 186.59/186.37 [337]~E(x3371,x3372)+E(f434(x3373,x3371,x3374),f434(x3373,x3372,x3374)) % 186.59/186.37 [338]~E(x3381,x3382)+E(f434(x3383,x3384,x3381),f434(x3383,x3384,x3382)) % 186.59/186.37 [339]~E(x3391,x3392)+E(f31(x3391,x3393),f31(x3392,x3393)) % 186.59/186.37 [340]~E(x3401,x3402)+E(f31(x3403,x3401),f31(x3403,x3402)) % 186.59/186.37 [341]~E(x3411,x3412)+E(f897(x3411,x3413,x3414),f897(x3412,x3413,x3414)) % 186.59/186.37 [342]~E(x3421,x3422)+E(f897(x3423,x3421,x3424),f897(x3423,x3422,x3424)) % 186.59/186.37 [343]~E(x3431,x3432)+E(f897(x3433,x3434,x3431),f897(x3433,x3434,x3432)) % 186.59/186.37 [344]~E(x3441,x3442)+E(f296(x3441,x3443,x3444),f296(x3442,x3443,x3444)) % 186.59/186.37 [345]~E(x3451,x3452)+E(f296(x3453,x3451,x3454),f296(x3453,x3452,x3454)) % 186.59/186.37 [346]~E(x3461,x3462)+E(f296(x3463,x3464,x3461),f296(x3463,x3464,x3462)) % 186.59/186.37 [347]~E(x3471,x3472)+E(f501(x3471,x3473,x3474),f501(x3472,x3473,x3474)) % 186.59/186.37 [348]~E(x3481,x3482)+E(f501(x3483,x3481,x3484),f501(x3483,x3482,x3484)) % 186.59/186.37 [349]~E(x3491,x3492)+E(f501(x3493,x3494,x3491),f501(x3493,x3494,x3492)) % 186.59/186.37 [350]~E(x3501,x3502)+E(f245(x3501,x3503,x3504,x3505,x3506),f245(x3502,x3503,x3504,x3505,x3506)) % 186.59/186.37 [351]~E(x3511,x3512)+E(f245(x3513,x3511,x3514,x3515,x3516),f245(x3513,x3512,x3514,x3515,x3516)) % 186.59/186.37 [352]~E(x3521,x3522)+E(f245(x3523,x3524,x3521,x3525,x3526),f245(x3523,x3524,x3522,x3525,x3526)) % 186.59/186.37 [353]~E(x3531,x3532)+E(f245(x3533,x3534,x3535,x3531,x3536),f245(x3533,x3534,x3535,x3532,x3536)) % 186.59/186.37 [354]~E(x3541,x3542)+E(f245(x3543,x3544,x3545,x3546,x3541),f245(x3543,x3544,x3545,x3546,x3542)) % 186.59/186.37 [355]~E(x3551,x3552)+E(f310(x3551,x3553),f310(x3552,x3553)) % 186.59/186.37 [356]~E(x3561,x3562)+E(f310(x3563,x3561),f310(x3563,x3562)) % 186.59/186.37 [357]~E(x3571,x3572)+E(f308(x3571,x3573),f308(x3572,x3573)) % 186.59/186.37 [358]~E(x3581,x3582)+E(f308(x3583,x3581),f308(x3583,x3582)) % 186.59/186.37 [359]~E(x3591,x3592)+E(f312(x3591,x3593),f312(x3592,x3593)) % 186.59/186.37 [360]~E(x3601,x3602)+E(f312(x3603,x3601),f312(x3603,x3602)) % 186.59/186.37 [361]~E(x3611,x3612)+E(f281(x3611,x3613,x3614,x3615),f281(x3612,x3613,x3614,x3615)) % 186.59/186.37 [362]~E(x3621,x3622)+E(f281(x3623,x3621,x3624,x3625),f281(x3623,x3622,x3624,x3625)) % 186.59/186.37 [363]~E(x3631,x3632)+E(f281(x3633,x3634,x3631,x3635),f281(x3633,x3634,x3632,x3635)) % 186.59/186.37 [364]~E(x3641,x3642)+E(f281(x3643,x3644,x3645,x3641),f281(x3643,x3644,x3645,x3642)) % 186.59/186.37 [365]~E(x3651,x3652)+E(f738(x3651,x3653),f738(x3652,x3653)) % 186.59/186.37 [366]~E(x3661,x3662)+E(f738(x3663,x3661),f738(x3663,x3662)) % 186.59/186.37 [367]~E(x3671,x3672)+E(f154(x3671,x3673),f154(x3672,x3673)) % 186.59/186.37 [368]~E(x3681,x3682)+E(f154(x3683,x3681),f154(x3683,x3682)) % 186.59/186.37 [369]~E(x3691,x3692)+E(f871(x3691,x3693,x3694),f871(x3692,x3693,x3694)) % 186.59/186.37 [370]~E(x3701,x3702)+E(f871(x3703,x3701,x3704),f871(x3703,x3702,x3704)) % 186.59/186.37 [371]~E(x3711,x3712)+E(f871(x3713,x3714,x3711),f871(x3713,x3714,x3712)) % 186.59/186.37 [372]~E(x3721,x3722)+E(f752(x3721,x3723,x3724,x3725,x3726,x3727,x3728),f752(x3722,x3723,x3724,x3725,x3726,x3727,x3728)) % 186.59/186.37 [373]~E(x3731,x3732)+E(f752(x3733,x3731,x3734,x3735,x3736,x3737,x3738),f752(x3733,x3732,x3734,x3735,x3736,x3737,x3738)) % 186.59/186.37 [374]~E(x3741,x3742)+E(f752(x3743,x3744,x3741,x3745,x3746,x3747,x3748),f752(x3743,x3744,x3742,x3745,x3746,x3747,x3748)) % 186.59/186.37 [375]~E(x3751,x3752)+E(f752(x3753,x3754,x3755,x3751,x3756,x3757,x3758),f752(x3753,x3754,x3755,x3752,x3756,x3757,x3758)) % 186.59/186.37 [376]~E(x3761,x3762)+E(f752(x3763,x3764,x3765,x3766,x3761,x3767,x3768),f752(x3763,x3764,x3765,x3766,x3762,x3767,x3768)) % 186.59/186.37 [377]~E(x3771,x3772)+E(f752(x3773,x3774,x3775,x3776,x3777,x3771,x3778),f752(x3773,x3774,x3775,x3776,x3777,x3772,x3778)) % 186.59/186.37 [378]~E(x3781,x3782)+E(f752(x3783,x3784,x3785,x3786,x3787,x3788,x3781),f752(x3783,x3784,x3785,x3786,x3787,x3788,x3782)) % 186.59/186.37 [379]~E(x3791,x3792)+E(f685(x3791,x3793,x3794),f685(x3792,x3793,x3794)) % 186.59/186.37 [380]~E(x3801,x3802)+E(f685(x3803,x3801,x3804),f685(x3803,x3802,x3804)) % 186.59/186.37 [381]~E(x3811,x3812)+E(f685(x3813,x3814,x3811),f685(x3813,x3814,x3812)) % 186.59/186.37 [382]~E(x3821,x3822)+E(f268(x3821,x3823,x3824,x3825),f268(x3822,x3823,x3824,x3825)) % 186.59/186.37 [383]~E(x3831,x3832)+E(f268(x3833,x3831,x3834,x3835),f268(x3833,x3832,x3834,x3835)) % 186.59/186.37 [384]~E(x3841,x3842)+E(f268(x3843,x3844,x3841,x3845),f268(x3843,x3844,x3842,x3845)) % 186.59/186.37 [385]~E(x3851,x3852)+E(f268(x3853,x3854,x3855,x3851),f268(x3853,x3854,x3855,x3852)) % 186.59/186.37 [386]~E(x3861,x3862)+E(f416(x3861,x3863,x3864),f416(x3862,x3863,x3864)) % 186.59/186.37 [387]~E(x3871,x3872)+E(f416(x3873,x3871,x3874),f416(x3873,x3872,x3874)) % 186.59/186.37 [388]~E(x3881,x3882)+E(f416(x3883,x3884,x3881),f416(x3883,x3884,x3882)) % 186.59/186.37 [389]~E(x3891,x3892)+E(f174(x3891,x3893),f174(x3892,x3893)) % 186.59/186.37 [390]~E(x3901,x3902)+E(f174(x3903,x3901),f174(x3903,x3902)) % 186.59/186.37 [391]~E(x3911,x3912)+E(f246(x3911,x3913),f246(x3912,x3913)) % 186.59/186.37 [392]~E(x3921,x3922)+E(f246(x3923,x3921),f246(x3923,x3922)) % 186.59/186.37 [393]~E(x3931,x3932)+E(f303(x3931,x3933,x3934),f303(x3932,x3933,x3934)) % 186.59/186.37 [394]~E(x3941,x3942)+E(f303(x3943,x3941,x3944),f303(x3943,x3942,x3944)) % 186.59/186.37 [395]~E(x3951,x3952)+E(f303(x3953,x3954,x3951),f303(x3953,x3954,x3952)) % 186.59/186.37 [396]~E(x3961,x3962)+E(f40(x3961,x3963),f40(x3962,x3963)) % 186.59/186.37 [397]~E(x3971,x3972)+E(f40(x3973,x3971),f40(x3973,x3972)) % 186.59/186.37 [398]~E(x3981,x3982)+E(f922(x3981,x3983),f922(x3982,x3983)) % 186.59/186.37 [399]~E(x3991,x3992)+E(f922(x3993,x3991),f922(x3993,x3992)) % 186.59/186.37 [400]~E(x4001,x4002)+E(f151(x4001,x4003),f151(x4002,x4003)) % 186.59/186.37 [401]~E(x4011,x4012)+E(f151(x4013,x4011),f151(x4013,x4012)) % 186.59/186.37 [402]~E(x4021,x4022)+E(f153(x4021,x4023),f153(x4022,x4023)) % 186.59/186.37 [403]~E(x4031,x4032)+E(f153(x4033,x4031),f153(x4033,x4032)) % 186.59/186.37 [404]~E(x4041,x4042)+E(f113(x4041,x4043),f113(x4042,x4043)) % 186.59/186.37 [405]~E(x4051,x4052)+E(f113(x4053,x4051),f113(x4053,x4052)) % 186.59/186.37 [406]~E(x4061,x4062)+E(f219(x4061,x4063,x4064,x4065,x4066),f219(x4062,x4063,x4064,x4065,x4066)) % 186.59/186.37 [407]~E(x4071,x4072)+E(f219(x4073,x4071,x4074,x4075,x4076),f219(x4073,x4072,x4074,x4075,x4076)) % 186.59/186.37 [408]~E(x4081,x4082)+E(f219(x4083,x4084,x4081,x4085,x4086),f219(x4083,x4084,x4082,x4085,x4086)) % 186.59/186.37 [409]~E(x4091,x4092)+E(f219(x4093,x4094,x4095,x4091,x4096),f219(x4093,x4094,x4095,x4092,x4096)) % 186.59/186.37 [410]~E(x4101,x4102)+E(f219(x4103,x4104,x4105,x4106,x4101),f219(x4103,x4104,x4105,x4106,x4102)) % 186.59/186.37 [411]~E(x4111,x4112)+E(f791(x4111,x4113,x4114,x4115,x4116,x4117,x4118),f791(x4112,x4113,x4114,x4115,x4116,x4117,x4118)) % 186.59/186.37 [412]~E(x4121,x4122)+E(f791(x4123,x4121,x4124,x4125,x4126,x4127,x4128),f791(x4123,x4122,x4124,x4125,x4126,x4127,x4128)) % 186.59/186.37 [413]~E(x4131,x4132)+E(f791(x4133,x4134,x4131,x4135,x4136,x4137,x4138),f791(x4133,x4134,x4132,x4135,x4136,x4137,x4138)) % 186.59/186.37 [414]~E(x4141,x4142)+E(f791(x4143,x4144,x4145,x4141,x4146,x4147,x4148),f791(x4143,x4144,x4145,x4142,x4146,x4147,x4148)) % 186.59/186.37 [415]~E(x4151,x4152)+E(f791(x4153,x4154,x4155,x4156,x4151,x4157,x4158),f791(x4153,x4154,x4155,x4156,x4152,x4157,x4158)) % 186.59/186.37 [416]~E(x4161,x4162)+E(f791(x4163,x4164,x4165,x4166,x4167,x4161,x4168),f791(x4163,x4164,x4165,x4166,x4167,x4162,x4168)) % 186.59/186.37 [417]~E(x4171,x4172)+E(f791(x4173,x4174,x4175,x4176,x4177,x4178,x4171),f791(x4173,x4174,x4175,x4176,x4177,x4178,x4172)) % 186.59/186.37 [418]~E(x4181,x4182)+E(f163(x4181,x4183,x4184),f163(x4182,x4183,x4184)) % 186.59/186.37 [419]~E(x4191,x4192)+E(f163(x4193,x4191,x4194),f163(x4193,x4192,x4194)) % 186.59/186.37 [420]~E(x4201,x4202)+E(f163(x4203,x4204,x4201),f163(x4203,x4204,x4202)) % 186.59/186.37 [421]~E(x4211,x4212)+E(f294(x4211),f294(x4212)) % 186.59/186.37 [422]~E(x4221,x4222)+E(f171(x4221,x4223),f171(x4222,x4223)) % 186.59/186.37 [423]~E(x4231,x4232)+E(f171(x4233,x4231),f171(x4233,x4232)) % 186.59/186.37 [424]~E(x4241,x4242)+E(f514(x4241,x4243,x4244,x4245,x4246),f514(x4242,x4243,x4244,x4245,x4246)) % 186.59/186.37 [425]~E(x4251,x4252)+E(f514(x4253,x4251,x4254,x4255,x4256),f514(x4253,x4252,x4254,x4255,x4256)) % 186.59/186.37 [426]~E(x4261,x4262)+E(f514(x4263,x4264,x4261,x4265,x4266),f514(x4263,x4264,x4262,x4265,x4266)) % 186.59/186.37 [427]~E(x4271,x4272)+E(f514(x4273,x4274,x4275,x4271,x4276),f514(x4273,x4274,x4275,x4272,x4276)) % 186.59/186.37 [428]~E(x4281,x4282)+E(f514(x4283,x4284,x4285,x4286,x4281),f514(x4283,x4284,x4285,x4286,x4282)) % 186.59/186.37 [429]~E(x4291,x4292)+E(f83(x4291,x4293),f83(x4292,x4293)) % 186.59/186.37 [430]~E(x4301,x4302)+E(f83(x4303,x4301),f83(x4303,x4302)) % 186.59/186.37 [431]~E(x4311,x4312)+E(f88(x4311),f88(x4312)) % 186.59/186.37 [432]~E(x4321,x4322)+E(f146(x4321,x4323),f146(x4322,x4323)) % 186.59/186.37 [433]~E(x4331,x4332)+E(f146(x4333,x4331),f146(x4333,x4332)) % 186.59/186.37 [434]~E(x4341,x4342)+E(f255(x4341,x4343),f255(x4342,x4343)) % 186.59/186.37 [435]~E(x4351,x4352)+E(f255(x4353,x4351),f255(x4353,x4352)) % 186.59/186.37 [436]~E(x4361,x4362)+E(f460(x4361,x4363,x4364),f460(x4362,x4363,x4364)) % 186.59/186.37 [437]~E(x4371,x4372)+E(f460(x4373,x4371,x4374),f460(x4373,x4372,x4374)) % 186.59/186.37 [438]~E(x4381,x4382)+E(f460(x4383,x4384,x4381),f460(x4383,x4384,x4382)) % 186.59/186.37 [439]~E(x4391,x4392)+E(f713(x4391,x4393),f713(x4392,x4393)) % 186.59/186.37 [440]~E(x4401,x4402)+E(f713(x4403,x4401),f713(x4403,x4402)) % 186.59/186.37 [441]~E(x4411,x4412)+E(f273(x4411),f273(x4412)) % 186.59/186.37 [442]~E(x4421,x4422)+E(f690(x4421,x4423,x4424,x4425),f690(x4422,x4423,x4424,x4425)) % 186.59/186.37 [443]~E(x4431,x4432)+E(f690(x4433,x4431,x4434,x4435),f690(x4433,x4432,x4434,x4435)) % 186.59/186.37 [444]~E(x4441,x4442)+E(f690(x4443,x4444,x4441,x4445),f690(x4443,x4444,x4442,x4445)) % 186.59/186.37 [445]~E(x4451,x4452)+E(f690(x4453,x4454,x4455,x4451),f690(x4453,x4454,x4455,x4452)) % 186.59/186.37 [446]~E(x4461,x4462)+E(f176(x4461,x4463),f176(x4462,x4463)) % 186.59/186.37 [447]~E(x4471,x4472)+E(f176(x4473,x4471),f176(x4473,x4472)) % 186.59/186.37 [448]~E(x4481,x4482)+E(f417(x4481,x4483,x4484),f417(x4482,x4483,x4484)) % 186.59/186.37 [449]~E(x4491,x4492)+E(f417(x4493,x4491,x4494),f417(x4493,x4492,x4494)) % 186.59/186.37 [450]~E(x4501,x4502)+E(f417(x4503,x4504,x4501),f417(x4503,x4504,x4502)) % 186.59/186.37 [451]~E(x4511,x4512)+E(f894(x4511,x4513,x4514),f894(x4512,x4513,x4514)) % 186.59/186.37 [452]~E(x4521,x4522)+E(f894(x4523,x4521,x4524),f894(x4523,x4522,x4524)) % 186.59/186.37 [453]~E(x4531,x4532)+E(f894(x4533,x4534,x4531),f894(x4533,x4534,x4532)) % 186.59/186.37 [454]~E(x4541,x4542)+E(f85(x4541),f85(x4542)) % 186.59/186.37 [455]~E(x4551,x4552)+E(f392(x4551,x4553),f392(x4552,x4553)) % 186.59/186.37 [456]~E(x4561,x4562)+E(f392(x4563,x4561),f392(x4563,x4562)) % 186.59/186.37 [457]~E(x4571,x4572)+E(f42(x4571,x4573),f42(x4572,x4573)) % 186.59/186.37 [458]~E(x4581,x4582)+E(f42(x4583,x4581),f42(x4583,x4582)) % 186.59/186.37 [459]~E(x4591,x4592)+E(f142(x4591,x4593,x4594,x4595,x4596),f142(x4592,x4593,x4594,x4595,x4596)) % 186.59/186.37 [460]~E(x4601,x4602)+E(f142(x4603,x4601,x4604,x4605,x4606),f142(x4603,x4602,x4604,x4605,x4606)) % 186.59/186.37 [461]~E(x4611,x4612)+E(f142(x4613,x4614,x4611,x4615,x4616),f142(x4613,x4614,x4612,x4615,x4616)) % 186.59/186.37 [462]~E(x4621,x4622)+E(f142(x4623,x4624,x4625,x4621,x4626),f142(x4623,x4624,x4625,x4622,x4626)) % 186.59/186.37 [463]~E(x4631,x4632)+E(f142(x4633,x4634,x4635,x4636,x4631),f142(x4633,x4634,x4635,x4636,x4632)) % 186.59/186.37 [464]~E(x4641,x4642)+E(f494(x4641,x4643,x4644,x4645,x4646,x4647,x4648),f494(x4642,x4643,x4644,x4645,x4646,x4647,x4648)) % 186.59/186.37 [465]~E(x4651,x4652)+E(f494(x4653,x4651,x4654,x4655,x4656,x4657,x4658),f494(x4653,x4652,x4654,x4655,x4656,x4657,x4658)) % 186.59/186.37 [466]~E(x4661,x4662)+E(f494(x4663,x4664,x4661,x4665,x4666,x4667,x4668),f494(x4663,x4664,x4662,x4665,x4666,x4667,x4668)) % 186.59/186.37 [467]~E(x4671,x4672)+E(f494(x4673,x4674,x4675,x4671,x4676,x4677,x4678),f494(x4673,x4674,x4675,x4672,x4676,x4677,x4678)) % 186.59/186.37 [468]~E(x4681,x4682)+E(f494(x4683,x4684,x4685,x4686,x4681,x4687,x4688),f494(x4683,x4684,x4685,x4686,x4682,x4687,x4688)) % 186.59/186.37 [469]~E(x4691,x4692)+E(f494(x4693,x4694,x4695,x4696,x4697,x4691,x4698),f494(x4693,x4694,x4695,x4696,x4697,x4692,x4698)) % 186.59/186.37 [470]~E(x4701,x4702)+E(f494(x4703,x4704,x4705,x4706,x4707,x4708,x4701),f494(x4703,x4704,x4705,x4706,x4707,x4708,x4702)) % 186.59/186.37 [471]~E(x4711,x4712)+E(f288(x4711,x4713,x4714,x4715,x4716),f288(x4712,x4713,x4714,x4715,x4716)) % 186.59/186.37 [472]~E(x4721,x4722)+E(f288(x4723,x4721,x4724,x4725,x4726),f288(x4723,x4722,x4724,x4725,x4726)) % 186.59/186.37 [473]~E(x4731,x4732)+E(f288(x4733,x4734,x4731,x4735,x4736),f288(x4733,x4734,x4732,x4735,x4736)) % 186.59/186.37 [474]~E(x4741,x4742)+E(f288(x4743,x4744,x4745,x4741,x4746),f288(x4743,x4744,x4745,x4742,x4746)) % 186.59/186.37 [475]~E(x4751,x4752)+E(f288(x4753,x4754,x4755,x4756,x4751),f288(x4753,x4754,x4755,x4756,x4752)) % 186.59/186.37 [476]~E(x4761,x4762)+E(f297(x4761,x4763,x4764),f297(x4762,x4763,x4764)) % 186.59/186.37 [477]~E(x4771,x4772)+E(f297(x4773,x4771,x4774),f297(x4773,x4772,x4774)) % 186.59/186.37 [478]~E(x4781,x4782)+E(f297(x4783,x4784,x4781),f297(x4783,x4784,x4782)) % 186.59/186.37 [479]~E(x4791,x4792)+E(f579(x4791,x4793,x4794),f579(x4792,x4793,x4794)) % 186.59/186.37 [480]~E(x4801,x4802)+E(f579(x4803,x4801,x4804),f579(x4803,x4802,x4804)) % 186.59/186.37 [481]~E(x4811,x4812)+E(f579(x4813,x4814,x4811),f579(x4813,x4814,x4812)) % 186.59/186.37 [482]~E(x4821,x4822)+E(f366(x4821,x4823,x4824,x4825,x4826),f366(x4822,x4823,x4824,x4825,x4826)) % 186.59/186.37 [483]~E(x4831,x4832)+E(f366(x4833,x4831,x4834,x4835,x4836),f366(x4833,x4832,x4834,x4835,x4836)) % 186.59/186.37 [484]~E(x4841,x4842)+E(f366(x4843,x4844,x4841,x4845,x4846),f366(x4843,x4844,x4842,x4845,x4846)) % 186.59/186.37 [485]~E(x4851,x4852)+E(f366(x4853,x4854,x4855,x4851,x4856),f366(x4853,x4854,x4855,x4852,x4856)) % 186.59/186.37 [486]~E(x4861,x4862)+E(f366(x4863,x4864,x4865,x4866,x4861),f366(x4863,x4864,x4865,x4866,x4862)) % 186.59/186.37 [487]~E(x4871,x4872)+E(f137(x4871,x4873),f137(x4872,x4873)) % 186.59/186.37 [488]~E(x4881,x4882)+E(f137(x4883,x4881),f137(x4883,x4882)) % 186.59/186.37 [489]~E(x4891,x4892)+E(f135(x4891,x4893,x4894,x4895),f135(x4892,x4893,x4894,x4895)) % 186.59/186.37 [490]~E(x4901,x4902)+E(f135(x4903,x4901,x4904,x4905),f135(x4903,x4902,x4904,x4905)) % 186.59/186.37 [491]~E(x4911,x4912)+E(f135(x4913,x4914,x4911,x4915),f135(x4913,x4914,x4912,x4915)) % 186.59/186.37 [492]~E(x4921,x4922)+E(f135(x4923,x4924,x4925,x4921),f135(x4923,x4924,x4925,x4922)) % 186.59/186.37 [493]~E(x4931,x4932)+E(f790(x4931,x4933,x4934,x4935,x4936,x4937,x4938),f790(x4932,x4933,x4934,x4935,x4936,x4937,x4938)) % 186.59/186.37 [494]~E(x4941,x4942)+E(f790(x4943,x4941,x4944,x4945,x4946,x4947,x4948),f790(x4943,x4942,x4944,x4945,x4946,x4947,x4948)) % 186.59/186.37 [495]~E(x4951,x4952)+E(f790(x4953,x4954,x4951,x4955,x4956,x4957,x4958),f790(x4953,x4954,x4952,x4955,x4956,x4957,x4958)) % 186.59/186.37 [496]~E(x4961,x4962)+E(f790(x4963,x4964,x4965,x4961,x4966,x4967,x4968),f790(x4963,x4964,x4965,x4962,x4966,x4967,x4968)) % 186.59/186.37 [497]~E(x4971,x4972)+E(f790(x4973,x4974,x4975,x4976,x4971,x4977,x4978),f790(x4973,x4974,x4975,x4976,x4972,x4977,x4978)) % 186.59/186.37 [498]~E(x4981,x4982)+E(f790(x4983,x4984,x4985,x4986,x4987,x4981,x4988),f790(x4983,x4984,x4985,x4986,x4987,x4982,x4988)) % 186.59/186.37 [499]~E(x4991,x4992)+E(f790(x4993,x4994,x4995,x4996,x4997,x4998,x4991),f790(x4993,x4994,x4995,x4996,x4997,x4998,x4992)) % 186.59/186.37 [500]~E(x5001,x5002)+E(f675(x5001,x5003,x5004,x5005),f675(x5002,x5003,x5004,x5005)) % 186.59/186.37 [501]~E(x5011,x5012)+E(f675(x5013,x5011,x5014,x5015),f675(x5013,x5012,x5014,x5015)) % 186.59/186.37 [502]~E(x5021,x5022)+E(f675(x5023,x5024,x5021,x5025),f675(x5023,x5024,x5022,x5025)) % 186.59/186.37 [503]~E(x5031,x5032)+E(f675(x5033,x5034,x5035,x5031),f675(x5033,x5034,x5035,x5032)) % 186.59/186.37 [504]~E(x5041,x5042)+E(f509(x5041,x5043,x5044,x5045),f509(x5042,x5043,x5044,x5045)) % 186.59/186.37 [505]~E(x5051,x5052)+E(f509(x5053,x5051,x5054,x5055),f509(x5053,x5052,x5054,x5055)) % 186.59/186.37 [506]~E(x5061,x5062)+E(f509(x5063,x5064,x5061,x5065),f509(x5063,x5064,x5062,x5065)) % 186.59/186.37 [507]~E(x5071,x5072)+E(f509(x5073,x5074,x5075,x5071),f509(x5073,x5074,x5075,x5072)) % 186.59/186.37 [508]~E(x5081,x5082)+E(f876(x5081,x5083,x5084),f876(x5082,x5083,x5084)) % 186.59/186.37 [509]~E(x5091,x5092)+E(f876(x5093,x5091,x5094),f876(x5093,x5092,x5094)) % 186.59/186.37 [510]~E(x5101,x5102)+E(f876(x5103,x5104,x5101),f876(x5103,x5104,x5102)) % 186.59/186.37 [511]~E(x5111,x5112)+E(f805(x5111,x5113,x5114,x5115,x5116),f805(x5112,x5113,x5114,x5115,x5116)) % 186.59/186.37 [512]~E(x5121,x5122)+E(f805(x5123,x5121,x5124,x5125,x5126),f805(x5123,x5122,x5124,x5125,x5126)) % 186.59/186.37 [513]~E(x5131,x5132)+E(f805(x5133,x5134,x5131,x5135,x5136),f805(x5133,x5134,x5132,x5135,x5136)) % 186.59/186.37 [514]~E(x5141,x5142)+E(f805(x5143,x5144,x5145,x5141,x5146),f805(x5143,x5144,x5145,x5142,x5146)) % 186.59/186.37 [515]~E(x5151,x5152)+E(f805(x5153,x5154,x5155,x5156,x5151),f805(x5153,x5154,x5155,x5156,x5152)) % 186.59/186.37 [516]~E(x5161,x5162)+E(f605(x5161,x5163,x5164,x5165,x5166,x5167,x5168,x5169),f605(x5162,x5163,x5164,x5165,x5166,x5167,x5168,x5169)) % 186.59/186.37 [517]~E(x5171,x5172)+E(f605(x5173,x5171,x5174,x5175,x5176,x5177,x5178,x5179),f605(x5173,x5172,x5174,x5175,x5176,x5177,x5178,x5179)) % 186.59/186.37 [518]~E(x5181,x5182)+E(f605(x5183,x5184,x5181,x5185,x5186,x5187,x5188,x5189),f605(x5183,x5184,x5182,x5185,x5186,x5187,x5188,x5189)) % 186.59/186.37 [519]~E(x5191,x5192)+E(f605(x5193,x5194,x5195,x5191,x5196,x5197,x5198,x5199),f605(x5193,x5194,x5195,x5192,x5196,x5197,x5198,x5199)) % 186.59/186.37 [520]~E(x5201,x5202)+E(f605(x5203,x5204,x5205,x5206,x5201,x5207,x5208,x5209),f605(x5203,x5204,x5205,x5206,x5202,x5207,x5208,x5209)) % 186.59/186.37 [521]~E(x5211,x5212)+E(f605(x5213,x5214,x5215,x5216,x5217,x5211,x5218,x5219),f605(x5213,x5214,x5215,x5216,x5217,x5212,x5218,x5219)) % 186.59/186.37 [522]~E(x5221,x5222)+E(f605(x5223,x5224,x5225,x5226,x5227,x5228,x5221,x5229),f605(x5223,x5224,x5225,x5226,x5227,x5228,x5222,x5229)) % 186.59/186.37 [523]~E(x5231,x5232)+E(f605(x5233,x5234,x5235,x5236,x5237,x5238,x5239,x5231),f605(x5233,x5234,x5235,x5236,x5237,x5238,x5239,x5232)) % 186.59/186.37 [524]~E(x5241,x5242)+E(f835(x5241,x5243,x5244,x5245),f835(x5242,x5243,x5244,x5245)) % 186.59/186.37 [525]~E(x5251,x5252)+E(f835(x5253,x5251,x5254,x5255),f835(x5253,x5252,x5254,x5255)) % 186.59/186.37 [526]~E(x5261,x5262)+E(f835(x5263,x5264,x5261,x5265),f835(x5263,x5264,x5262,x5265)) % 186.59/186.37 [527]~E(x5271,x5272)+E(f835(x5273,x5274,x5275,x5271),f835(x5273,x5274,x5275,x5272)) % 186.59/186.37 [528]~E(x5281,x5282)+E(f47(x5281,x5283),f47(x5282,x5283)) % 186.59/186.37 [529]~E(x5291,x5292)+E(f47(x5293,x5291),f47(x5293,x5292)) % 186.59/186.37 [530]~E(x5301,x5302)+E(f602(x5301,x5303,x5304,x5305,x5306,x5307),f602(x5302,x5303,x5304,x5305,x5306,x5307)) % 186.59/186.37 [531]~E(x5311,x5312)+E(f602(x5313,x5311,x5314,x5315,x5316,x5317),f602(x5313,x5312,x5314,x5315,x5316,x5317)) % 186.59/186.37 [532]~E(x5321,x5322)+E(f602(x5323,x5324,x5321,x5325,x5326,x5327),f602(x5323,x5324,x5322,x5325,x5326,x5327)) % 186.59/186.37 [533]~E(x5331,x5332)+E(f602(x5333,x5334,x5335,x5331,x5336,x5337),f602(x5333,x5334,x5335,x5332,x5336,x5337)) % 186.59/186.37 [534]~E(x5341,x5342)+E(f602(x5343,x5344,x5345,x5346,x5341,x5347),f602(x5343,x5344,x5345,x5346,x5342,x5347)) % 186.59/186.37 [535]~E(x5351,x5352)+E(f602(x5353,x5354,x5355,x5356,x5357,x5351),f602(x5353,x5354,x5355,x5356,x5357,x5352)) % 186.59/186.37 [536]~E(x5361,x5362)+E(f603(x5361,x5363,x5364,x5365,x5366,x5367),f603(x5362,x5363,x5364,x5365,x5366,x5367)) % 186.59/186.37 [537]~E(x5371,x5372)+E(f603(x5373,x5371,x5374,x5375,x5376,x5377),f603(x5373,x5372,x5374,x5375,x5376,x5377)) % 186.59/186.37 [538]~E(x5381,x5382)+E(f603(x5383,x5384,x5381,x5385,x5386,x5387),f603(x5383,x5384,x5382,x5385,x5386,x5387)) % 186.59/186.37 [539]~E(x5391,x5392)+E(f603(x5393,x5394,x5395,x5391,x5396,x5397),f603(x5393,x5394,x5395,x5392,x5396,x5397)) % 186.59/186.37 [540]~E(x5401,x5402)+E(f603(x5403,x5404,x5405,x5406,x5401,x5407),f603(x5403,x5404,x5405,x5406,x5402,x5407)) % 186.59/186.37 [541]~E(x5411,x5412)+E(f603(x5413,x5414,x5415,x5416,x5417,x5411),f603(x5413,x5414,x5415,x5416,x5417,x5412)) % 186.59/186.37 [542]~E(x5421,x5422)+E(f306(x5421),f306(x5422)) % 186.59/186.37 [543]~E(x5431,x5432)+E(f524(x5431),f524(x5432)) % 186.59/186.37 [544]~E(x5441,x5442)+E(f705(x5441,x5443,x5444,x5445),f705(x5442,x5443,x5444,x5445)) % 186.59/186.37 [545]~E(x5451,x5452)+E(f705(x5453,x5451,x5454,x5455),f705(x5453,x5452,x5454,x5455)) % 186.59/186.37 [546]~E(x5461,x5462)+E(f705(x5463,x5464,x5461,x5465),f705(x5463,x5464,x5462,x5465)) % 186.59/186.37 [547]~E(x5471,x5472)+E(f705(x5473,x5474,x5475,x5471),f705(x5473,x5474,x5475,x5472)) % 186.59/186.37 [548]~E(x5481,x5482)+E(f458(x5481,x5483),f458(x5482,x5483)) % 186.59/186.37 [549]~E(x5491,x5492)+E(f458(x5493,x5491),f458(x5493,x5492)) % 186.59/186.37 [550]~E(x5501,x5502)+E(f404(x5501,x5503,x5504,x5505),f404(x5502,x5503,x5504,x5505)) % 186.59/186.37 [551]~E(x5511,x5512)+E(f404(x5513,x5511,x5514,x5515),f404(x5513,x5512,x5514,x5515)) % 186.59/186.37 [552]~E(x5521,x5522)+E(f404(x5523,x5524,x5521,x5525),f404(x5523,x5524,x5522,x5525)) % 186.59/186.37 [553]~E(x5531,x5532)+E(f404(x5533,x5534,x5535,x5531),f404(x5533,x5534,x5535,x5532)) % 186.59/186.37 [554]~E(x5541,x5542)+E(f530(x5541,x5543,x5544,x5545,x5546,x5547,x5548),f530(x5542,x5543,x5544,x5545,x5546,x5547,x5548)) % 186.59/186.37 [555]~E(x5551,x5552)+E(f530(x5553,x5551,x5554,x5555,x5556,x5557,x5558),f530(x5553,x5552,x5554,x5555,x5556,x5557,x5558)) % 186.59/186.37 [556]~E(x5561,x5562)+E(f530(x5563,x5564,x5561,x5565,x5566,x5567,x5568),f530(x5563,x5564,x5562,x5565,x5566,x5567,x5568)) % 186.59/186.37 [557]~E(x5571,x5572)+E(f530(x5573,x5574,x5575,x5571,x5576,x5577,x5578),f530(x5573,x5574,x5575,x5572,x5576,x5577,x5578)) % 186.59/186.37 [558]~E(x5581,x5582)+E(f530(x5583,x5584,x5585,x5586,x5581,x5587,x5588),f530(x5583,x5584,x5585,x5586,x5582,x5587,x5588)) % 186.59/186.37 [559]~E(x5591,x5592)+E(f530(x5593,x5594,x5595,x5596,x5597,x5591,x5598),f530(x5593,x5594,x5595,x5596,x5597,x5592,x5598)) % 186.59/186.37 [560]~E(x5601,x5602)+E(f530(x5603,x5604,x5605,x5606,x5607,x5608,x5601),f530(x5603,x5604,x5605,x5606,x5607,x5608,x5602)) % 186.59/186.37 [561]~E(x5611,x5612)+E(f56(x5611,x5613),f56(x5612,x5613)) % 186.59/186.37 [562]~E(x5621,x5622)+E(f56(x5623,x5621),f56(x5623,x5622)) % 186.59/186.37 [563]~E(x5631,x5632)+E(f492(x5631,x5633,x5634,x5635,x5636,x5637,x5638),f492(x5632,x5633,x5634,x5635,x5636,x5637,x5638)) % 186.59/186.37 [564]~E(x5641,x5642)+E(f492(x5643,x5641,x5644,x5645,x5646,x5647,x5648),f492(x5643,x5642,x5644,x5645,x5646,x5647,x5648)) % 186.59/186.37 [565]~E(x5651,x5652)+E(f492(x5653,x5654,x5651,x5655,x5656,x5657,x5658),f492(x5653,x5654,x5652,x5655,x5656,x5657,x5658)) % 186.59/186.37 [566]~E(x5661,x5662)+E(f492(x5663,x5664,x5665,x5661,x5666,x5667,x5668),f492(x5663,x5664,x5665,x5662,x5666,x5667,x5668)) % 186.59/186.37 [567]~E(x5671,x5672)+E(f492(x5673,x5674,x5675,x5676,x5671,x5677,x5678),f492(x5673,x5674,x5675,x5676,x5672,x5677,x5678)) % 186.59/186.37 [568]~E(x5681,x5682)+E(f492(x5683,x5684,x5685,x5686,x5687,x5681,x5688),f492(x5683,x5684,x5685,x5686,x5687,x5682,x5688)) % 186.59/186.37 [569]~E(x5691,x5692)+E(f492(x5693,x5694,x5695,x5696,x5697,x5698,x5691),f492(x5693,x5694,x5695,x5696,x5697,x5698,x5692)) % 186.59/186.37 [570]~E(x5701,x5702)+E(f217(x5701,x5703,x5704,x5705,x5706),f217(x5702,x5703,x5704,x5705,x5706)) % 186.59/186.37 [571]~E(x5711,x5712)+E(f217(x5713,x5711,x5714,x5715,x5716),f217(x5713,x5712,x5714,x5715,x5716)) % 186.59/186.37 [572]~E(x5721,x5722)+E(f217(x5723,x5724,x5721,x5725,x5726),f217(x5723,x5724,x5722,x5725,x5726)) % 186.59/186.37 [573]~E(x5731,x5732)+E(f217(x5733,x5734,x5735,x5731,x5736),f217(x5733,x5734,x5735,x5732,x5736)) % 186.59/186.37 [574]~E(x5741,x5742)+E(f217(x5743,x5744,x5745,x5746,x5741),f217(x5743,x5744,x5745,x5746,x5742)) % 186.59/186.37 [575]~E(x5751,x5752)+E(f274(x5751),f274(x5752)) % 186.59/186.37 [576]~E(x5761,x5762)+E(f324(x5761),f324(x5762)) % 186.59/186.37 [577]~E(x5771,x5772)+E(f305(x5771,x5773,x5774,x5775),f305(x5772,x5773,x5774,x5775)) % 186.59/186.37 [578]~E(x5781,x5782)+E(f305(x5783,x5781,x5784,x5785),f305(x5783,x5782,x5784,x5785)) % 186.59/186.37 [579]~E(x5791,x5792)+E(f305(x5793,x5794,x5791,x5795),f305(x5793,x5794,x5792,x5795)) % 186.59/186.37 [580]~E(x5801,x5802)+E(f305(x5803,x5804,x5805,x5801),f305(x5803,x5804,x5805,x5802)) % 186.59/186.37 [581]~E(x5811,x5812)+E(f499(x5811,x5813,x5814),f499(x5812,x5813,x5814)) % 186.59/186.37 [582]~E(x5821,x5822)+E(f499(x5823,x5821,x5824),f499(x5823,x5822,x5824)) % 186.59/186.37 [583]~E(x5831,x5832)+E(f499(x5833,x5834,x5831),f499(x5833,x5834,x5832)) % 186.59/186.37 [584]~E(x5841,x5842)+E(f168(x5841),f168(x5842)) % 186.59/186.37 [585]~E(x5851,x5852)+E(f292(x5851),f292(x5852)) % 186.59/186.37 [586]~E(x5861,x5862)+E(f75(x5861,x5863),f75(x5862,x5863)) % 186.59/186.37 [587]~E(x5871,x5872)+E(f75(x5873,x5871),f75(x5873,x5872)) % 186.59/186.37 [588]~E(x5881,x5882)+E(f425(x5881),f425(x5882)) % 186.59/186.37 [589]~E(x5891,x5892)+E(f205(x5891),f205(x5892)) % 186.59/186.37 [590]~E(x5901,x5902)+E(f162(x5901,x5903,x5904),f162(x5902,x5903,x5904)) % 186.59/186.37 [591]~E(x5911,x5912)+E(f162(x5913,x5911,x5914),f162(x5913,x5912,x5914)) % 186.59/186.37 [592]~E(x5921,x5922)+E(f162(x5923,x5924,x5921),f162(x5923,x5924,x5922)) % 186.59/186.37 [593]~E(x5931,x5932)+E(f500(x5931,x5933,x5934),f500(x5932,x5933,x5934)) % 186.59/186.37 [594]~E(x5941,x5942)+E(f500(x5943,x5941,x5944),f500(x5943,x5942,x5944)) % 186.59/186.37 [595]~E(x5951,x5952)+E(f500(x5953,x5954,x5951),f500(x5953,x5954,x5952)) % 186.59/186.37 [596]~E(x5961,x5962)+E(f898(x5961,x5963,x5964,x5965),f898(x5962,x5963,x5964,x5965)) % 186.59/186.37 [597]~E(x5971,x5972)+E(f898(x5973,x5971,x5974,x5975),f898(x5973,x5972,x5974,x5975)) % 186.59/186.37 [598]~E(x5981,x5982)+E(f898(x5983,x5984,x5981,x5985),f898(x5983,x5984,x5982,x5985)) % 186.59/186.37 [599]~E(x5991,x5992)+E(f898(x5993,x5994,x5995,x5991),f898(x5993,x5994,x5995,x5992)) % 186.59/186.37 [600]~E(x6001,x6002)+E(f687(x6001,x6003,x6004,x6005,x6006),f687(x6002,x6003,x6004,x6005,x6006)) % 186.59/186.37 [601]~E(x6011,x6012)+E(f687(x6013,x6011,x6014,x6015,x6016),f687(x6013,x6012,x6014,x6015,x6016)) % 186.59/186.37 [602]~E(x6021,x6022)+E(f687(x6023,x6024,x6021,x6025,x6026),f687(x6023,x6024,x6022,x6025,x6026)) % 186.59/186.37 [603]~E(x6031,x6032)+E(f687(x6033,x6034,x6035,x6031,x6036),f687(x6033,x6034,x6035,x6032,x6036)) % 186.59/186.37 [604]~E(x6041,x6042)+E(f687(x6043,x6044,x6045,x6046,x6041),f687(x6043,x6044,x6045,x6046,x6042)) % 186.59/186.37 [605]~E(x6051,x6052)+E(f502(x6051,x6053,x6054),f502(x6052,x6053,x6054)) % 186.59/186.37 [606]~E(x6061,x6062)+E(f502(x6063,x6061,x6064),f502(x6063,x6062,x6064)) % 186.59/186.37 [607]~E(x6071,x6072)+E(f502(x6073,x6074,x6071),f502(x6073,x6074,x6072)) % 186.59/186.37 [608]~E(x6081,x6082)+E(f41(x6081,x6083),f41(x6082,x6083)) % 186.59/186.37 [609]~E(x6091,x6092)+E(f41(x6093,x6091),f41(x6093,x6092)) % 186.59/186.37 [610]~E(x6101,x6102)+E(f46(x6101,x6103),f46(x6102,x6103)) % 186.59/186.37 [611]~E(x6111,x6112)+E(f46(x6113,x6111),f46(x6113,x6112)) % 186.59/186.37 [612]~E(x6121,x6122)+E(f689(x6121,x6123,x6124,x6125,x6126),f689(x6122,x6123,x6124,x6125,x6126)) % 186.59/186.37 [613]~E(x6131,x6132)+E(f689(x6133,x6131,x6134,x6135,x6136),f689(x6133,x6132,x6134,x6135,x6136)) % 186.59/186.37 [614]~E(x6141,x6142)+E(f689(x6143,x6144,x6141,x6145,x6146),f689(x6143,x6144,x6142,x6145,x6146)) % 186.59/186.37 [615]~E(x6151,x6152)+E(f689(x6153,x6154,x6155,x6151,x6156),f689(x6153,x6154,x6155,x6152,x6156)) % 186.59/186.37 [616]~E(x6161,x6162)+E(f689(x6163,x6164,x6165,x6166,x6161),f689(x6163,x6164,x6165,x6166,x6162)) % 186.59/186.37 [617]~E(x6171,x6172)+E(f15(x6171,x6173),f15(x6172,x6173)) % 186.59/186.37 [618]~E(x6181,x6182)+E(f15(x6183,x6181),f15(x6183,x6182)) % 186.59/186.37 [619]~E(x6191,x6192)+E(f293(x6191),f293(x6192)) % 186.59/186.37 [620]~E(x6201,x6202)+E(f81(x6201),f81(x6202)) % 186.59/186.37 [621]~E(x6211,x6212)+E(f588(x6211,x6213),f588(x6212,x6213)) % 186.59/186.37 [622]~E(x6221,x6222)+E(f588(x6223,x6221),f588(x6223,x6222)) % 186.59/186.37 [623]~E(x6231,x6232)+E(f532(x6231,x6233,x6234,x6235,x6236,x6237,x6238),f532(x6232,x6233,x6234,x6235,x6236,x6237,x6238)) % 186.59/186.37 [624]~E(x6241,x6242)+E(f532(x6243,x6241,x6244,x6245,x6246,x6247,x6248),f532(x6243,x6242,x6244,x6245,x6246,x6247,x6248)) % 186.59/186.37 [625]~E(x6251,x6252)+E(f532(x6253,x6254,x6251,x6255,x6256,x6257,x6258),f532(x6253,x6254,x6252,x6255,x6256,x6257,x6258)) % 186.59/186.37 [626]~E(x6261,x6262)+E(f532(x6263,x6264,x6265,x6261,x6266,x6267,x6268),f532(x6263,x6264,x6265,x6262,x6266,x6267,x6268)) % 186.59/186.37 [627]~E(x6271,x6272)+E(f532(x6273,x6274,x6275,x6276,x6271,x6277,x6278),f532(x6273,x6274,x6275,x6276,x6272,x6277,x6278)) % 186.59/186.37 [628]~E(x6281,x6282)+E(f532(x6283,x6284,x6285,x6286,x6287,x6281,x6288),f532(x6283,x6284,x6285,x6286,x6287,x6282,x6288)) % 186.59/186.37 [629]~E(x6291,x6292)+E(f532(x6293,x6294,x6295,x6296,x6297,x6298,x6291),f532(x6293,x6294,x6295,x6296,x6297,x6298,x6292)) % 186.59/186.37 [630]~E(x6301,x6302)+E(f118(x6301,x6303),f118(x6302,x6303)) % 186.59/186.37 [631]~E(x6311,x6312)+E(f118(x6313,x6311),f118(x6313,x6312)) % 186.59/186.37 [632]~E(x6321,x6322)+E(f804(x6321,x6323,x6324,x6325),f804(x6322,x6323,x6324,x6325)) % 186.59/186.37 [633]~E(x6331,x6332)+E(f804(x6333,x6331,x6334,x6335),f804(x6333,x6332,x6334,x6335)) % 186.59/186.37 [634]~E(x6341,x6342)+E(f804(x6343,x6344,x6341,x6345),f804(x6343,x6344,x6342,x6345)) % 186.59/186.37 [635]~E(x6351,x6352)+E(f804(x6353,x6354,x6355,x6351),f804(x6353,x6354,x6355,x6352)) % 186.59/186.37 [636]~E(x6361,x6362)+E(f650(x6361,x6363,x6364,x6365),f650(x6362,x6363,x6364,x6365)) % 186.59/186.37 [637]~E(x6371,x6372)+E(f650(x6373,x6371,x6374,x6375),f650(x6373,x6372,x6374,x6375)) % 186.59/186.37 [638]~E(x6381,x6382)+E(f650(x6383,x6384,x6381,x6385),f650(x6383,x6384,x6382,x6385)) % 186.59/186.37 [639]~E(x6391,x6392)+E(f650(x6393,x6394,x6395,x6391),f650(x6393,x6394,x6395,x6392)) % 186.59/186.37 [640]~E(x6401,x6402)+E(f12(x6401,x6403),f12(x6402,x6403)) % 186.59/186.37 [641]~E(x6411,x6412)+E(f12(x6413,x6411),f12(x6413,x6412)) % 186.59/186.37 [642]~E(x6421,x6422)+E(f13(x6421,x6423,x6424),f13(x6422,x6423,x6424)) % 186.59/186.37 [643]~E(x6431,x6432)+E(f13(x6433,x6431,x6434),f13(x6433,x6432,x6434)) % 186.59/186.37 [644]~E(x6441,x6442)+E(f13(x6443,x6444,x6441),f13(x6443,x6444,x6442)) % 186.59/186.37 [645]~E(x6451,x6452)+E(f455(x6451,x6453),f455(x6452,x6453)) % 186.59/186.37 [646]~E(x6461,x6462)+E(f455(x6463,x6461),f455(x6463,x6462)) % 186.59/186.37 [647]~E(x6471,x6472)+E(f893(x6471,x6473,x6474,x6475),f893(x6472,x6473,x6474,x6475)) % 186.59/186.37 [648]~E(x6481,x6482)+E(f893(x6483,x6481,x6484,x6485),f893(x6483,x6482,x6484,x6485)) % 186.59/186.37 [649]~E(x6491,x6492)+E(f893(x6493,x6494,x6491,x6495),f893(x6493,x6494,x6492,x6495)) % 186.59/186.37 [650]~E(x6501,x6502)+E(f893(x6503,x6504,x6505,x6501),f893(x6503,x6504,x6505,x6502)) % 186.59/186.37 [651]~E(x6511,x6512)+E(f275(x6511,x6513),f275(x6512,x6513)) % 186.59/186.37 [652]~E(x6521,x6522)+E(f275(x6523,x6521),f275(x6523,x6522)) % 186.59/186.37 [653]~E(x6531,x6532)+E(f472(x6531,x6533,x6534),f472(x6532,x6533,x6534)) % 186.59/186.37 [654]~E(x6541,x6542)+E(f472(x6543,x6541,x6544),f472(x6543,x6542,x6544)) % 186.59/186.37 [655]~E(x6551,x6552)+E(f472(x6553,x6554,x6551),f472(x6553,x6554,x6552)) % 186.59/186.37 [656]~E(x6561,x6562)+E(f756(x6561,x6563),f756(x6562,x6563)) % 186.59/186.37 [657]~E(x6571,x6572)+E(f756(x6573,x6571),f756(x6573,x6572)) % 186.59/186.37 [658]~E(x6581,x6582)+E(f372(x6581,x6583,x6584),f372(x6582,x6583,x6584)) % 186.59/186.37 [659]~E(x6591,x6592)+E(f372(x6593,x6591,x6594),f372(x6593,x6592,x6594)) % 186.59/186.37 [660]~E(x6601,x6602)+E(f372(x6603,x6604,x6601),f372(x6603,x6604,x6602)) % 186.59/186.37 [661]~E(x6611,x6612)+E(f201(x6611),f201(x6612)) % 186.59/186.37 [662]~E(x6621,x6622)+E(f550(x6621,x6623,x6624,x6625),f550(x6622,x6623,x6624,x6625)) % 186.59/186.37 [663]~E(x6631,x6632)+E(f550(x6633,x6631,x6634,x6635),f550(x6633,x6632,x6634,x6635)) % 186.59/186.37 [664]~E(x6641,x6642)+E(f550(x6643,x6644,x6641,x6645),f550(x6643,x6644,x6642,x6645)) % 186.59/186.37 [665]~E(x6651,x6652)+E(f550(x6653,x6654,x6655,x6651),f550(x6653,x6654,x6655,x6652)) % 186.59/186.37 [666]~E(x6661,x6662)+E(f265(x6661,x6663,x6664,x6665),f265(x6662,x6663,x6664,x6665)) % 186.59/186.37 [667]~E(x6671,x6672)+E(f265(x6673,x6671,x6674,x6675),f265(x6673,x6672,x6674,x6675)) % 186.59/186.37 [668]~E(x6681,x6682)+E(f265(x6683,x6684,x6681,x6685),f265(x6683,x6684,x6682,x6685)) % 186.59/186.37 [669]~E(x6691,x6692)+E(f265(x6693,x6694,x6695,x6691),f265(x6693,x6694,x6695,x6692)) % 186.59/186.37 [670]~E(x6701,x6702)+E(f560(x6701,x6703,x6704,x6705),f560(x6702,x6703,x6704,x6705)) % 186.59/186.37 [671]~E(x6711,x6712)+E(f560(x6713,x6711,x6714,x6715),f560(x6713,x6712,x6714,x6715)) % 186.59/186.37 [672]~E(x6721,x6722)+E(f560(x6723,x6724,x6721,x6725),f560(x6723,x6724,x6722,x6725)) % 186.59/186.37 [673]~E(x6731,x6732)+E(f560(x6733,x6734,x6735,x6731),f560(x6733,x6734,x6735,x6732)) % 186.59/186.37 [674]~E(x6741,x6742)+E(f573(x6741,x6743,x6744,x6745,x6746,x6747),f573(x6742,x6743,x6744,x6745,x6746,x6747)) % 186.59/186.37 [675]~E(x6751,x6752)+E(f573(x6753,x6751,x6754,x6755,x6756,x6757),f573(x6753,x6752,x6754,x6755,x6756,x6757)) % 186.59/186.37 [676]~E(x6761,x6762)+E(f573(x6763,x6764,x6761,x6765,x6766,x6767),f573(x6763,x6764,x6762,x6765,x6766,x6767)) % 186.59/186.37 [677]~E(x6771,x6772)+E(f573(x6773,x6774,x6775,x6771,x6776,x6777),f573(x6773,x6774,x6775,x6772,x6776,x6777)) % 186.59/186.37 [678]~E(x6781,x6782)+E(f573(x6783,x6784,x6785,x6786,x6781,x6787),f573(x6783,x6784,x6785,x6786,x6782,x6787)) % 186.59/186.37 [679]~E(x6791,x6792)+E(f573(x6793,x6794,x6795,x6796,x6797,x6791),f573(x6793,x6794,x6795,x6796,x6797,x6792)) % 186.59/186.37 [680]~E(x6801,x6802)+E(f260(x6801,x6803),f260(x6802,x6803)) % 186.59/186.37 [681]~E(x6811,x6812)+E(f260(x6813,x6811),f260(x6813,x6812)) % 186.59/186.37 [682]~E(x6821,x6822)+E(f102(x6821),f102(x6822)) % 186.59/186.37 [683]~E(x6831,x6832)+E(f632(x6831,x6833,x6834,x6835),f632(x6832,x6833,x6834,x6835)) % 186.59/186.37 [684]~E(x6841,x6842)+E(f632(x6843,x6841,x6844,x6845),f632(x6843,x6842,x6844,x6845)) % 186.59/186.37 [685]~E(x6851,x6852)+E(f632(x6853,x6854,x6851,x6855),f632(x6853,x6854,x6852,x6855)) % 186.59/186.37 [686]~E(x6861,x6862)+E(f632(x6863,x6864,x6865,x6861),f632(x6863,x6864,x6865,x6862)) % 186.59/186.37 [687]~E(x6871,x6872)+E(f900(x6871,x6873,x6874,x6875,x6876),f900(x6872,x6873,x6874,x6875,x6876)) % 186.59/186.37 [688]~E(x6881,x6882)+E(f900(x6883,x6881,x6884,x6885,x6886),f900(x6883,x6882,x6884,x6885,x6886)) % 186.59/186.37 [689]~E(x6891,x6892)+E(f900(x6893,x6894,x6891,x6895,x6896),f900(x6893,x6894,x6892,x6895,x6896)) % 186.59/186.37 [690]~E(x6901,x6902)+E(f900(x6903,x6904,x6905,x6901,x6906),f900(x6903,x6904,x6905,x6902,x6906)) % 186.59/186.37 [691]~E(x6911,x6912)+E(f900(x6913,x6914,x6915,x6916,x6911),f900(x6913,x6914,x6915,x6916,x6912)) % 186.59/186.37 [692]~E(x6921,x6922)+E(f625(x6921,x6923,x6924),f625(x6922,x6923,x6924)) % 186.59/186.37 [693]~E(x6931,x6932)+E(f625(x6933,x6931,x6934),f625(x6933,x6932,x6934)) % 186.59/186.37 [694]~E(x6941,x6942)+E(f625(x6943,x6944,x6941),f625(x6943,x6944,x6942)) % 186.59/186.37 [695]~E(x6951,x6952)+E(f284(x6951,x6953),f284(x6952,x6953)) % 186.59/186.37 [696]~E(x6961,x6962)+E(f284(x6963,x6961),f284(x6963,x6962)) % 186.59/186.37 [697]~E(x6971,x6972)+E(f635(x6971,x6973,x6974,x6975,x6976),f635(x6972,x6973,x6974,x6975,x6976)) % 186.59/186.37 [698]~E(x6981,x6982)+E(f635(x6983,x6981,x6984,x6985,x6986),f635(x6983,x6982,x6984,x6985,x6986)) % 186.59/186.37 [699]~E(x6991,x6992)+E(f635(x6993,x6994,x6991,x6995,x6996),f635(x6993,x6994,x6992,x6995,x6996)) % 186.59/186.37 [700]~E(x7001,x7002)+E(f635(x7003,x7004,x7005,x7001,x7006),f635(x7003,x7004,x7005,x7002,x7006)) % 186.59/186.37 [701]~E(x7011,x7012)+E(f635(x7013,x7014,x7015,x7016,x7011),f635(x7013,x7014,x7015,x7016,x7012)) % 186.59/186.37 [702]~E(x7021,x7022)+E(f688(x7021,x7023,x7024,x7025,x7026),f688(x7022,x7023,x7024,x7025,x7026)) % 186.59/186.37 [703]~E(x7031,x7032)+E(f688(x7033,x7031,x7034,x7035,x7036),f688(x7033,x7032,x7034,x7035,x7036)) % 186.59/186.37 [704]~E(x7041,x7042)+E(f688(x7043,x7044,x7041,x7045,x7046),f688(x7043,x7044,x7042,x7045,x7046)) % 186.59/186.37 [705]~E(x7051,x7052)+E(f688(x7053,x7054,x7055,x7051,x7056),f688(x7053,x7054,x7055,x7052,x7056)) % 186.59/186.37 [706]~E(x7061,x7062)+E(f688(x7063,x7064,x7065,x7066,x7061),f688(x7063,x7064,x7065,x7066,x7062)) % 186.59/186.37 [707]~E(x7071,x7072)+E(f697(x7071,x7073,x7074),f697(x7072,x7073,x7074)) % 186.59/186.37 [708]~E(x7081,x7082)+E(f697(x7083,x7081,x7084),f697(x7083,x7082,x7084)) % 186.59/186.37 [709]~E(x7091,x7092)+E(f697(x7093,x7094,x7091),f697(x7093,x7094,x7092)) % 186.59/186.37 [710]~E(x7101,x7102)+E(f300(x7101),f300(x7102)) % 186.59/186.37 [711]~E(x7111,x7112)+E(f16(x7111,x7113),f16(x7112,x7113)) % 186.59/186.37 [712]~E(x7121,x7122)+E(f16(x7123,x7121),f16(x7123,x7122)) % 186.59/186.37 [713]~E(x7131,x7132)+E(f200(x7131,x7133,x7134,x7135,x7136,x7137,x7138),f200(x7132,x7133,x7134,x7135,x7136,x7137,x7138)) % 186.59/186.37 [714]~E(x7141,x7142)+E(f200(x7143,x7141,x7144,x7145,x7146,x7147,x7148),f200(x7143,x7142,x7144,x7145,x7146,x7147,x7148)) % 186.59/186.37 [715]~E(x7151,x7152)+E(f200(x7153,x7154,x7151,x7155,x7156,x7157,x7158),f200(x7153,x7154,x7152,x7155,x7156,x7157,x7158)) % 186.59/186.37 [716]~E(x7161,x7162)+E(f200(x7163,x7164,x7165,x7161,x7166,x7167,x7168),f200(x7163,x7164,x7165,x7162,x7166,x7167,x7168)) % 186.59/186.37 [717]~E(x7171,x7172)+E(f200(x7173,x7174,x7175,x7176,x7171,x7177,x7178),f200(x7173,x7174,x7175,x7176,x7172,x7177,x7178)) % 186.59/186.37 [718]~E(x7181,x7182)+E(f200(x7183,x7184,x7185,x7186,x7187,x7181,x7188),f200(x7183,x7184,x7185,x7186,x7187,x7182,x7188)) % 186.59/186.37 [719]~E(x7191,x7192)+E(f200(x7193,x7194,x7195,x7196,x7197,x7198,x7191),f200(x7193,x7194,x7195,x7196,x7197,x7198,x7192)) % 186.59/186.37 [720]~E(x7201,x7202)+E(f80(x7201),f80(x7202)) % 186.59/186.37 [721]~E(x7211,x7212)+E(f48(x7211,x7213,x7214),f48(x7212,x7213,x7214)) % 186.59/186.37 [722]~E(x7221,x7222)+E(f48(x7223,x7221,x7224),f48(x7223,x7222,x7224)) % 186.59/186.37 [723]~E(x7231,x7232)+E(f48(x7233,x7234,x7231),f48(x7233,x7234,x7232)) % 186.59/186.37 [724]~E(x7241,x7242)+E(f59(x7241,x7243,x7244,x7245,x7246),f59(x7242,x7243,x7244,x7245,x7246)) % 186.59/186.37 [725]~E(x7251,x7252)+E(f59(x7253,x7251,x7254,x7255,x7256),f59(x7253,x7252,x7254,x7255,x7256)) % 186.59/186.37 [726]~E(x7261,x7262)+E(f59(x7263,x7264,x7261,x7265,x7266),f59(x7263,x7264,x7262,x7265,x7266)) % 186.59/186.37 [727]~E(x7271,x7272)+E(f59(x7273,x7274,x7275,x7271,x7276),f59(x7273,x7274,x7275,x7272,x7276)) % 186.59/186.37 [728]~E(x7281,x7282)+E(f59(x7283,x7284,x7285,x7286,x7281),f59(x7283,x7284,x7285,x7286,x7282)) % 186.59/186.37 [729]~E(x7291,x7292)+E(f584(x7291,x7293,x7294,x7295,x7296,x7297,x7298,x7299),f584(x7292,x7293,x7294,x7295,x7296,x7297,x7298,x7299)) % 186.59/186.37 [730]~E(x7301,x7302)+E(f584(x7303,x7301,x7304,x7305,x7306,x7307,x7308,x7309),f584(x7303,x7302,x7304,x7305,x7306,x7307,x7308,x7309)) % 186.59/186.37 [731]~E(x7311,x7312)+E(f584(x7313,x7314,x7311,x7315,x7316,x7317,x7318,x7319),f584(x7313,x7314,x7312,x7315,x7316,x7317,x7318,x7319)) % 186.59/186.37 [732]~E(x7321,x7322)+E(f584(x7323,x7324,x7325,x7321,x7326,x7327,x7328,x7329),f584(x7323,x7324,x7325,x7322,x7326,x7327,x7328,x7329)) % 186.59/186.37 [733]~E(x7331,x7332)+E(f584(x7333,x7334,x7335,x7336,x7331,x7337,x7338,x7339),f584(x7333,x7334,x7335,x7336,x7332,x7337,x7338,x7339)) % 186.59/186.37 [734]~E(x7341,x7342)+E(f584(x7343,x7344,x7345,x7346,x7347,x7341,x7348,x7349),f584(x7343,x7344,x7345,x7346,x7347,x7342,x7348,x7349)) % 186.59/186.37 [735]~E(x7351,x7352)+E(f584(x7353,x7354,x7355,x7356,x7357,x7358,x7351,x7359),f584(x7353,x7354,x7355,x7356,x7357,x7358,x7352,x7359)) % 186.59/186.37 [736]~E(x7361,x7362)+E(f584(x7363,x7364,x7365,x7366,x7367,x7368,x7369,x7361),f584(x7363,x7364,x7365,x7366,x7367,x7368,x7369,x7362)) % 186.59/186.37 [737]~E(x7371,x7372)+E(f419(x7371),f419(x7372)) % 186.59/186.37 [738]~E(x7381,x7382)+E(f510(x7381,x7383,x7384),f510(x7382,x7383,x7384)) % 186.59/186.37 [739]~E(x7391,x7392)+E(f510(x7393,x7391,x7394),f510(x7393,x7392,x7394)) % 186.59/186.37 [740]~E(x7401,x7402)+E(f510(x7403,x7404,x7401),f510(x7403,x7404,x7402)) % 186.59/186.37 [741]~E(x7411,x7412)+E(f536(x7411,x7413,x7414),f536(x7412,x7413,x7414)) % 186.59/186.37 [742]~E(x7421,x7422)+E(f536(x7423,x7421,x7424),f536(x7423,x7422,x7424)) % 186.59/186.37 [743]~E(x7431,x7432)+E(f536(x7433,x7434,x7431),f536(x7433,x7434,x7432)) % 186.59/186.37 [744]~E(x7441,x7442)+E(f370(x7441,x7443,x7444),f370(x7442,x7443,x7444)) % 186.59/186.37 [745]~E(x7451,x7452)+E(f370(x7453,x7451,x7454),f370(x7453,x7452,x7454)) % 186.59/186.37 [746]~E(x7461,x7462)+E(f370(x7463,x7464,x7461),f370(x7463,x7464,x7462)) % 186.59/186.37 [747]~E(x7471,x7472)+E(f753(x7471,x7473,x7474,x7475,x7476),f753(x7472,x7473,x7474,x7475,x7476)) % 186.59/186.37 [748]~E(x7481,x7482)+E(f753(x7483,x7481,x7484,x7485,x7486),f753(x7483,x7482,x7484,x7485,x7486)) % 186.59/186.37 [749]~E(x7491,x7492)+E(f753(x7493,x7494,x7491,x7495,x7496),f753(x7493,x7494,x7492,x7495,x7496)) % 186.59/186.37 [750]~E(x7501,x7502)+E(f753(x7503,x7504,x7505,x7501,x7506),f753(x7503,x7504,x7505,x7502,x7506)) % 186.59/186.37 [751]~E(x7511,x7512)+E(f753(x7513,x7514,x7515,x7516,x7511),f753(x7513,x7514,x7515,x7516,x7512)) % 186.59/186.37 [752]~E(x7521,x7522)+E(f592(x7521,x7523),f592(x7522,x7523)) % 186.59/186.37 [753]~E(x7531,x7532)+E(f592(x7533,x7531),f592(x7533,x7532)) % 186.59/186.37 [754]~E(x7541,x7542)+E(f389(x7541,x7543),f389(x7542,x7543)) % 186.59/186.37 [755]~E(x7551,x7552)+E(f389(x7553,x7551),f389(x7553,x7552)) % 186.59/186.37 [756]~E(x7561,x7562)+E(f513(x7561,x7563),f513(x7562,x7563)) % 186.59/186.37 [757]~E(x7571,x7572)+E(f513(x7573,x7571),f513(x7573,x7572)) % 186.59/186.37 [758]~E(x7581,x7582)+E(f731(x7581,x7583),f731(x7582,x7583)) % 186.59/186.37 [759]~E(x7591,x7592)+E(f731(x7593,x7591),f731(x7593,x7592)) % 186.59/186.37 [760]~E(x7601,x7602)+E(f111(x7601,x7603,x7604),f111(x7602,x7603,x7604)) % 186.59/186.37 [761]~E(x7611,x7612)+E(f111(x7613,x7611,x7614),f111(x7613,x7612,x7614)) % 186.59/186.37 [762]~E(x7621,x7622)+E(f111(x7623,x7624,x7621),f111(x7623,x7624,x7622)) % 186.59/186.37 [763]~E(x7631,x7632)+E(f252(x7631,x7633,x7634,x7635,x7636),f252(x7632,x7633,x7634,x7635,x7636)) % 186.59/186.37 [764]~E(x7641,x7642)+E(f252(x7643,x7641,x7644,x7645,x7646),f252(x7643,x7642,x7644,x7645,x7646)) % 186.59/186.37 [765]~E(x7651,x7652)+E(f252(x7653,x7654,x7651,x7655,x7656),f252(x7653,x7654,x7652,x7655,x7656)) % 186.59/186.37 [766]~E(x7661,x7662)+E(f252(x7663,x7664,x7665,x7661,x7666),f252(x7663,x7664,x7665,x7662,x7666)) % 186.59/186.37 [767]~E(x7671,x7672)+E(f252(x7673,x7674,x7675,x7676,x7671),f252(x7673,x7674,x7675,x7676,x7672)) % 186.59/186.37 [768]~E(x7681,x7682)+E(f860(x7681,x7683,x7684),f860(x7682,x7683,x7684)) % 186.59/186.37 [769]~E(x7691,x7692)+E(f860(x7693,x7691,x7694),f860(x7693,x7692,x7694)) % 186.59/186.37 [770]~E(x7701,x7702)+E(f860(x7703,x7704,x7701),f860(x7703,x7704,x7702)) % 186.59/186.37 [771]~E(x7711,x7712)+E(f187(x7711,x7713),f187(x7712,x7713)) % 186.59/186.37 [772]~E(x7721,x7722)+E(f187(x7723,x7721),f187(x7723,x7722)) % 186.59/186.37 [773]~E(x7731,x7732)+E(f813(x7731),f813(x7732)) % 186.59/186.37 [774]~E(x7741,x7742)+E(f761(x7741,x7743,x7744,x7745,x7746,x7747,x7748),f761(x7742,x7743,x7744,x7745,x7746,x7747,x7748)) % 186.59/186.37 [775]~E(x7751,x7752)+E(f761(x7753,x7751,x7754,x7755,x7756,x7757,x7758),f761(x7753,x7752,x7754,x7755,x7756,x7757,x7758)) % 186.59/186.37 [776]~E(x7761,x7762)+E(f761(x7763,x7764,x7761,x7765,x7766,x7767,x7768),f761(x7763,x7764,x7762,x7765,x7766,x7767,x7768)) % 186.59/186.37 [777]~E(x7771,x7772)+E(f761(x7773,x7774,x7775,x7771,x7776,x7777,x7778),f761(x7773,x7774,x7775,x7772,x7776,x7777,x7778)) % 186.59/186.37 [778]~E(x7781,x7782)+E(f761(x7783,x7784,x7785,x7786,x7781,x7787,x7788),f761(x7783,x7784,x7785,x7786,x7782,x7787,x7788)) % 186.59/186.37 [779]~E(x7791,x7792)+E(f761(x7793,x7794,x7795,x7796,x7797,x7791,x7798),f761(x7793,x7794,x7795,x7796,x7797,x7792,x7798)) % 186.59/186.37 [780]~E(x7801,x7802)+E(f761(x7803,x7804,x7805,x7806,x7807,x7808,x7801),f761(x7803,x7804,x7805,x7806,x7807,x7808,x7802)) % 186.59/186.37 [781]~E(x7811,x7812)+E(f726(x7811,x7813,x7814,x7815,x7816),f726(x7812,x7813,x7814,x7815,x7816)) % 186.59/186.37 [782]~E(x7821,x7822)+E(f726(x7823,x7821,x7824,x7825,x7826),f726(x7823,x7822,x7824,x7825,x7826)) % 186.59/186.37 [783]~E(x7831,x7832)+E(f726(x7833,x7834,x7831,x7835,x7836),f726(x7833,x7834,x7832,x7835,x7836)) % 186.59/186.37 [784]~E(x7841,x7842)+E(f726(x7843,x7844,x7845,x7841,x7846),f726(x7843,x7844,x7845,x7842,x7846)) % 186.59/186.37 [785]~E(x7851,x7852)+E(f726(x7853,x7854,x7855,x7856,x7851),f726(x7853,x7854,x7855,x7856,x7852)) % 186.59/186.37 [786]~E(x7861,x7862)+E(f169(x7861,x7863,x7864),f169(x7862,x7863,x7864)) % 186.59/186.37 [787]~E(x7871,x7872)+E(f169(x7873,x7871,x7874),f169(x7873,x7872,x7874)) % 186.59/186.37 [788]~E(x7881,x7882)+E(f169(x7883,x7884,x7881),f169(x7883,x7884,x7882)) % 186.59/186.37 [789]~E(x7891,x7892)+E(f914(x7891,x7893,x7894),f914(x7892,x7893,x7894)) % 186.59/186.37 [790]~E(x7901,x7902)+E(f914(x7903,x7901,x7904),f914(x7903,x7902,x7904)) % 186.59/186.37 [791]~E(x7911,x7912)+E(f914(x7913,x7914,x7911),f914(x7913,x7914,x7912)) % 186.59/186.37 [792]~E(x7921,x7922)+E(f531(x7921,x7923,x7924,x7925,x7926,x7927,x7928),f531(x7922,x7923,x7924,x7925,x7926,x7927,x7928)) % 186.59/186.37 [793]~E(x7931,x7932)+E(f531(x7933,x7931,x7934,x7935,x7936,x7937,x7938),f531(x7933,x7932,x7934,x7935,x7936,x7937,x7938)) % 186.59/186.37 [794]~E(x7941,x7942)+E(f531(x7943,x7944,x7941,x7945,x7946,x7947,x7948),f531(x7943,x7944,x7942,x7945,x7946,x7947,x7948)) % 186.59/186.37 [795]~E(x7951,x7952)+E(f531(x7953,x7954,x7955,x7951,x7956,x7957,x7958),f531(x7953,x7954,x7955,x7952,x7956,x7957,x7958)) % 186.59/186.37 [796]~E(x7961,x7962)+E(f531(x7963,x7964,x7965,x7966,x7961,x7967,x7968),f531(x7963,x7964,x7965,x7966,x7962,x7967,x7968)) % 186.59/186.37 [797]~E(x7971,x7972)+E(f531(x7973,x7974,x7975,x7976,x7977,x7971,x7978),f531(x7973,x7974,x7975,x7976,x7977,x7972,x7978)) % 186.59/186.37 [798]~E(x7981,x7982)+E(f531(x7983,x7984,x7985,x7986,x7987,x7988,x7981),f531(x7983,x7984,x7985,x7986,x7987,x7988,x7982)) % 186.59/186.37 [799]~E(x7991,x7992)+E(f598(x7991,x7993,x7994,x7995),f598(x7992,x7993,x7994,x7995)) % 186.59/186.37 [800]~E(x8001,x8002)+E(f598(x8003,x8001,x8004,x8005),f598(x8003,x8002,x8004,x8005)) % 186.59/186.37 [801]~E(x8011,x8012)+E(f598(x8013,x8014,x8011,x8015),f598(x8013,x8014,x8012,x8015)) % 186.59/186.37 [802]~E(x8021,x8022)+E(f598(x8023,x8024,x8025,x8021),f598(x8023,x8024,x8025,x8022)) % 186.59/186.37 [803]~E(x8031,x8032)+E(f35(x8031),f35(x8032)) % 186.59/186.37 [804]~E(x8041,x8042)+E(f360(x8041,x8043),f360(x8042,x8043)) % 186.59/186.37 [805]~E(x8051,x8052)+E(f360(x8053,x8051),f360(x8053,x8052)) % 186.59/186.37 [806]~E(x8061,x8062)+E(f593(x8061,x8063,x8064,x8065),f593(x8062,x8063,x8064,x8065)) % 186.59/186.37 [807]~E(x8071,x8072)+E(f593(x8073,x8071,x8074,x8075),f593(x8073,x8072,x8074,x8075)) % 186.59/186.37 [808]~E(x8081,x8082)+E(f593(x8083,x8084,x8081,x8085),f593(x8083,x8084,x8082,x8085)) % 186.59/186.37 [809]~E(x8091,x8092)+E(f593(x8093,x8094,x8095,x8091),f593(x8093,x8094,x8095,x8092)) % 186.59/186.37 [810]~E(x8101,x8102)+E(f429(x8101,x8103,x8104),f429(x8102,x8103,x8104)) % 186.59/186.37 [811]~E(x8111,x8112)+E(f429(x8113,x8111,x8114),f429(x8113,x8112,x8114)) % 186.59/186.37 [812]~E(x8121,x8122)+E(f429(x8123,x8124,x8121),f429(x8123,x8124,x8122)) % 186.59/186.37 [813]~E(x8131,x8132)+E(f134(x8131),f134(x8132)) % 186.59/186.37 [814]~E(x8141,x8142)+E(f859(x8141,x8143,x8144,x8145,x8146,x8147,x8148),f859(x8142,x8143,x8144,x8145,x8146,x8147,x8148)) % 186.59/186.37 [815]~E(x8151,x8152)+E(f859(x8153,x8151,x8154,x8155,x8156,x8157,x8158),f859(x8153,x8152,x8154,x8155,x8156,x8157,x8158)) % 186.59/186.37 [816]~E(x8161,x8162)+E(f859(x8163,x8164,x8161,x8165,x8166,x8167,x8168),f859(x8163,x8164,x8162,x8165,x8166,x8167,x8168)) % 186.59/186.37 [817]~E(x8171,x8172)+E(f859(x8173,x8174,x8175,x8171,x8176,x8177,x8178),f859(x8173,x8174,x8175,x8172,x8176,x8177,x8178)) % 186.59/186.37 [818]~E(x8181,x8182)+E(f859(x8183,x8184,x8185,x8186,x8181,x8187,x8188),f859(x8183,x8184,x8185,x8186,x8182,x8187,x8188)) % 186.59/186.37 [819]~E(x8191,x8192)+E(f859(x8193,x8194,x8195,x8196,x8197,x8191,x8198),f859(x8193,x8194,x8195,x8196,x8197,x8192,x8198)) % 186.59/186.37 [820]~E(x8201,x8202)+E(f859(x8203,x8204,x8205,x8206,x8207,x8208,x8201),f859(x8203,x8204,x8205,x8206,x8207,x8208,x8202)) % 186.59/186.37 [821]~E(x8211,x8212)+E(f50(x8211),f50(x8212)) % 186.59/186.37 [822]~E(x8221,x8222)+E(f367(x8221,x8223,x8224,x8225,x8226),f367(x8222,x8223,x8224,x8225,x8226)) % 186.59/186.37 [823]~E(x8231,x8232)+E(f367(x8233,x8231,x8234,x8235,x8236),f367(x8233,x8232,x8234,x8235,x8236)) % 186.59/186.37 [824]~E(x8241,x8242)+E(f367(x8243,x8244,x8241,x8245,x8246),f367(x8243,x8244,x8242,x8245,x8246)) % 186.59/186.37 [825]~E(x8251,x8252)+E(f367(x8253,x8254,x8255,x8251,x8256),f367(x8253,x8254,x8255,x8252,x8256)) % 186.59/186.37 [826]~E(x8261,x8262)+E(f367(x8263,x8264,x8265,x8266,x8261),f367(x8263,x8264,x8265,x8266,x8262)) % 186.59/186.37 [827]~E(x8271,x8272)+E(f440(x8271,x8273,x8274),f440(x8272,x8273,x8274)) % 186.59/186.37 [828]~E(x8281,x8282)+E(f440(x8283,x8281,x8284),f440(x8283,x8282,x8284)) % 186.59/186.37 [829]~E(x8291,x8292)+E(f440(x8293,x8294,x8291),f440(x8293,x8294,x8292)) % 186.59/186.37 [830]~E(x8301,x8302)+E(f183(x8301,x8303,x8304,x8305),f183(x8302,x8303,x8304,x8305)) % 186.59/186.37 [831]~E(x8311,x8312)+E(f183(x8313,x8311,x8314,x8315),f183(x8313,x8312,x8314,x8315)) % 186.59/186.37 [832]~E(x8321,x8322)+E(f183(x8323,x8324,x8321,x8325),f183(x8323,x8324,x8322,x8325)) % 186.59/186.37 [833]~E(x8331,x8332)+E(f183(x8333,x8334,x8335,x8331),f183(x8333,x8334,x8335,x8332)) % 186.59/186.37 [834]~E(x8341,x8342)+E(f712(x8341,x8343),f712(x8342,x8343)) % 186.59/186.37 [835]~E(x8351,x8352)+E(f712(x8353,x8351),f712(x8353,x8352)) % 186.59/186.37 [836]~E(x8361,x8362)+E(f192(x8361,x8363),f192(x8362,x8363)) % 186.59/186.37 [837]~E(x8371,x8372)+E(f192(x8373,x8371),f192(x8373,x8372)) % 186.59/186.37 [838]~E(x8381,x8382)+E(f754(x8381,x8383,x8384,x8385,x8386,x8387,x8388),f754(x8382,x8383,x8384,x8385,x8386,x8387,x8388)) % 186.59/186.37 [839]~E(x8391,x8392)+E(f754(x8393,x8391,x8394,x8395,x8396,x8397,x8398),f754(x8393,x8392,x8394,x8395,x8396,x8397,x8398)) % 186.59/186.37 [840]~E(x8401,x8402)+E(f754(x8403,x8404,x8401,x8405,x8406,x8407,x8408),f754(x8403,x8404,x8402,x8405,x8406,x8407,x8408)) % 186.59/186.37 [841]~E(x8411,x8412)+E(f754(x8413,x8414,x8415,x8411,x8416,x8417,x8418),f754(x8413,x8414,x8415,x8412,x8416,x8417,x8418)) % 186.59/186.37 [842]~E(x8421,x8422)+E(f754(x8423,x8424,x8425,x8426,x8421,x8427,x8428),f754(x8423,x8424,x8425,x8426,x8422,x8427,x8428)) % 186.59/186.37 [843]~E(x8431,x8432)+E(f754(x8433,x8434,x8435,x8436,x8437,x8431,x8438),f754(x8433,x8434,x8435,x8436,x8437,x8432,x8438)) % 186.59/186.37 [844]~E(x8441,x8442)+E(f754(x8443,x8444,x8445,x8446,x8447,x8448,x8441),f754(x8443,x8444,x8445,x8446,x8447,x8448,x8442)) % 186.59/186.37 [845]~E(x8451,x8452)+E(f867(x8451,x8453,x8454),f867(x8452,x8453,x8454)) % 186.59/186.37 [846]~E(x8461,x8462)+E(f867(x8463,x8461,x8464),f867(x8463,x8462,x8464)) % 186.59/186.37 [847]~E(x8471,x8472)+E(f867(x8473,x8474,x8471),f867(x8473,x8474,x8472)) % 186.59/186.37 [848]~E(x8481,x8482)+E(f235(x8481,x8483,x8484),f235(x8482,x8483,x8484)) % 186.59/186.37 [849]~E(x8491,x8492)+E(f235(x8493,x8491,x8494),f235(x8493,x8492,x8494)) % 186.59/186.37 [850]~E(x8501,x8502)+E(f235(x8503,x8504,x8501),f235(x8503,x8504,x8502)) % 186.59/186.37 [851]~E(x8511,x8512)+E(f875(x8511,x8513,x8514),f875(x8512,x8513,x8514)) % 186.59/186.37 [852]~E(x8521,x8522)+E(f875(x8523,x8521,x8524),f875(x8523,x8522,x8524)) % 186.59/186.37 [853]~E(x8531,x8532)+E(f875(x8533,x8534,x8531),f875(x8533,x8534,x8532)) % 186.59/186.37 [854]~E(x8541,x8542)+E(f262(x8541,x8543),f262(x8542,x8543)) % 186.59/186.37 [855]~E(x8551,x8552)+E(f262(x8553,x8551),f262(x8553,x8552)) % 186.59/186.37 [856]~E(x8561,x8562)+E(f290(x8561,x8563,x8564,x8565),f290(x8562,x8563,x8564,x8565)) % 186.59/186.37 [857]~E(x8571,x8572)+E(f290(x8573,x8571,x8574,x8575),f290(x8573,x8572,x8574,x8575)) % 186.59/186.37 [858]~E(x8581,x8582)+E(f290(x8583,x8584,x8581,x8585),f290(x8583,x8584,x8582,x8585)) % 186.59/186.37 [859]~E(x8591,x8592)+E(f290(x8593,x8594,x8595,x8591),f290(x8593,x8594,x8595,x8592)) % 186.59/186.37 [860]~E(x8601,x8602)+E(f351(x8601,x8603,x8604),f351(x8602,x8603,x8604)) % 186.59/186.37 [861]~E(x8611,x8612)+E(f351(x8613,x8611,x8614),f351(x8613,x8612,x8614)) % 186.59/186.37 [862]~E(x8621,x8622)+E(f351(x8623,x8624,x8621),f351(x8623,x8624,x8622)) % 186.59/186.37 [863]~E(x8631,x8632)+E(f43(x8631,x8633),f43(x8632,x8633)) % 186.59/186.37 [864]~E(x8641,x8642)+E(f43(x8643,x8641),f43(x8643,x8642)) % 186.59/186.37 [865]~E(x8651,x8652)+E(f435(x8651,x8653,x8654,x8655),f435(x8652,x8653,x8654,x8655)) % 186.59/186.37 [866]~E(x8661,x8662)+E(f435(x8663,x8661,x8664,x8665),f435(x8663,x8662,x8664,x8665)) % 186.59/186.37 [867]~E(x8671,x8672)+E(f435(x8673,x8674,x8671,x8675),f435(x8673,x8674,x8672,x8675)) % 186.59/186.37 [868]~E(x8681,x8682)+E(f435(x8683,x8684,x8685,x8681),f435(x8683,x8684,x8685,x8682)) % 186.59/186.37 [869]~E(x8691,x8692)+E(f682(x8691,x8693,x8694),f682(x8692,x8693,x8694)) % 186.59/186.37 [870]~E(x8701,x8702)+E(f682(x8703,x8701,x8704),f682(x8703,x8702,x8704)) % 186.59/186.37 [871]~E(x8711,x8712)+E(f682(x8713,x8714,x8711),f682(x8713,x8714,x8712)) % 186.59/186.37 [872]~E(x8721,x8722)+E(f140(x8721,x8723),f140(x8722,x8723)) % 186.59/186.37 [873]~E(x8731,x8732)+E(f140(x8733,x8731),f140(x8733,x8732)) % 186.59/186.37 [874]~E(x8741,x8742)+E(f61(x8741,x8743,x8744),f61(x8742,x8743,x8744)) % 186.59/186.37 [875]~E(x8751,x8752)+E(f61(x8753,x8751,x8754),f61(x8753,x8752,x8754)) % 186.59/186.37 [876]~E(x8761,x8762)+E(f61(x8763,x8764,x8761),f61(x8763,x8764,x8762)) % 186.59/186.37 [877]~E(x8771,x8772)+E(f332(x8771,x8773),f332(x8772,x8773)) % 186.59/186.37 [878]~E(x8781,x8782)+E(f332(x8783,x8781),f332(x8783,x8782)) % 186.59/186.37 [879]~E(x8791,x8792)+E(f839(x8791,x8793,x8794,x8795,x8796),f839(x8792,x8793,x8794,x8795,x8796)) % 186.59/186.37 [880]~E(x8801,x8802)+E(f839(x8803,x8801,x8804,x8805,x8806),f839(x8803,x8802,x8804,x8805,x8806)) % 186.59/186.37 [881]~E(x8811,x8812)+E(f839(x8813,x8814,x8811,x8815,x8816),f839(x8813,x8814,x8812,x8815,x8816)) % 186.59/186.37 [882]~E(x8821,x8822)+E(f839(x8823,x8824,x8825,x8821,x8826),f839(x8823,x8824,x8825,x8822,x8826)) % 186.59/186.37 [883]~E(x8831,x8832)+E(f839(x8833,x8834,x8835,x8836,x8831),f839(x8833,x8834,x8835,x8836,x8832)) % 186.59/186.37 [884]~E(x8841,x8842)+E(f371(x8841,x8843,x8844),f371(x8842,x8843,x8844)) % 186.59/186.37 [885]~E(x8851,x8852)+E(f371(x8853,x8851,x8854),f371(x8853,x8852,x8854)) % 186.59/186.37 [886]~E(x8861,x8862)+E(f371(x8863,x8864,x8861),f371(x8863,x8864,x8862)) % 186.59/186.37 [887]~E(x8871,x8872)+E(f138(x8871,x8873),f138(x8872,x8873)) % 186.59/186.37 [888]~E(x8881,x8882)+E(f138(x8883,x8881),f138(x8883,x8882)) % 186.59/186.37 [889]~E(x8891,x8892)+E(f874(x8891,x8893,x8894),f874(x8892,x8893,x8894)) % 186.59/186.37 [890]~E(x8901,x8902)+E(f874(x8903,x8901,x8904),f874(x8903,x8902,x8904)) % 186.59/186.37 [891]~E(x8911,x8912)+E(f874(x8913,x8914,x8911),f874(x8913,x8914,x8912)) % 186.59/186.37 [892]~E(x8921,x8922)+E(f755(x8921,x8923,x8924,x8925,x8926,x8927,x8928),f755(x8922,x8923,x8924,x8925,x8926,x8927,x8928)) % 186.59/186.37 [893]~E(x8931,x8932)+E(f755(x8933,x8931,x8934,x8935,x8936,x8937,x8938),f755(x8933,x8932,x8934,x8935,x8936,x8937,x8938)) % 186.59/186.37 [894]~E(x8941,x8942)+E(f755(x8943,x8944,x8941,x8945,x8946,x8947,x8948),f755(x8943,x8944,x8942,x8945,x8946,x8947,x8948)) % 186.59/186.37 [895]~E(x8951,x8952)+E(f755(x8953,x8954,x8955,x8951,x8956,x8957,x8958),f755(x8953,x8954,x8955,x8952,x8956,x8957,x8958)) % 186.59/186.37 [896]~E(x8961,x8962)+E(f755(x8963,x8964,x8965,x8966,x8961,x8967,x8968),f755(x8963,x8964,x8965,x8966,x8962,x8967,x8968)) % 186.59/186.37 [897]~E(x8971,x8972)+E(f755(x8973,x8974,x8975,x8976,x8977,x8971,x8978),f755(x8973,x8974,x8975,x8976,x8977,x8972,x8978)) % 186.59/186.37 [898]~E(x8981,x8982)+E(f755(x8983,x8984,x8985,x8986,x8987,x8988,x8981),f755(x8983,x8984,x8985,x8986,x8987,x8988,x8982)) % 186.59/186.37 [899]~E(x8991,x8992)+E(f261(x8991,x8993),f261(x8992,x8993)) % 186.59/186.37 [900]~E(x9001,x9002)+E(f261(x9003,x9001),f261(x9003,x9002)) % 186.59/186.37 [901]~E(x9011,x9012)+E(f179(x9011),f179(x9012)) % 186.59/186.37 [902]~E(x9021,x9022)+E(f891(x9021,x9023),f891(x9022,x9023)) % 186.59/186.37 [903]~E(x9031,x9032)+E(f891(x9033,x9031),f891(x9033,x9032)) % 186.59/186.37 [904]~E(x9041,x9042)+E(f781(x9041,x9043,x9044,x9045,x9046),f781(x9042,x9043,x9044,x9045,x9046)) % 186.59/186.37 [905]~E(x9051,x9052)+E(f781(x9053,x9051,x9054,x9055,x9056),f781(x9053,x9052,x9054,x9055,x9056)) % 186.59/186.37 [906]~E(x9061,x9062)+E(f781(x9063,x9064,x9061,x9065,x9066),f781(x9063,x9064,x9062,x9065,x9066)) % 186.59/186.37 [907]~E(x9071,x9072)+E(f781(x9073,x9074,x9075,x9071,x9076),f781(x9073,x9074,x9075,x9072,x9076)) % 186.59/186.37 [908]~E(x9081,x9082)+E(f781(x9083,x9084,x9085,x9086,x9081),f781(x9083,x9084,x9085,x9086,x9082)) % 186.59/186.37 [909]~E(x9091,x9092)+E(f670(x9091,x9093,x9094),f670(x9092,x9093,x9094)) % 186.59/186.37 [910]~E(x9101,x9102)+E(f670(x9103,x9101,x9104),f670(x9103,x9102,x9104)) % 186.59/186.37 [911]~E(x9111,x9112)+E(f670(x9113,x9114,x9111),f670(x9113,x9114,x9112)) % 186.59/186.37 [912]~E(x9121,x9122)+E(f377(x9121,x9123,x9124,x9125),f377(x9122,x9123,x9124,x9125)) % 186.59/186.37 [913]~E(x9131,x9132)+E(f377(x9133,x9131,x9134,x9135),f377(x9133,x9132,x9134,x9135)) % 186.59/186.37 [914]~E(x9141,x9142)+E(f377(x9143,x9144,x9141,x9145),f377(x9143,x9144,x9142,x9145)) % 186.59/186.37 [915]~E(x9151,x9152)+E(f377(x9153,x9154,x9155,x9151),f377(x9153,x9154,x9155,x9152)) % 186.59/186.37 [916]~E(x9161,x9162)+E(f199(x9161,x9163,x9164,x9165),f199(x9162,x9163,x9164,x9165)) % 186.59/186.37 [917]~E(x9171,x9172)+E(f199(x9173,x9171,x9174,x9175),f199(x9173,x9172,x9174,x9175)) % 186.59/186.37 [918]~E(x9181,x9182)+E(f199(x9183,x9184,x9181,x9185),f199(x9183,x9184,x9182,x9185)) % 186.59/186.37 [919]~E(x9191,x9192)+E(f199(x9193,x9194,x9195,x9191),f199(x9193,x9194,x9195,x9192)) % 186.59/186.37 [920]~E(x9201,x9202)+E(f224(x9201,x9203,x9204,x9205),f224(x9202,x9203,x9204,x9205)) % 186.59/186.37 [921]~E(x9211,x9212)+E(f224(x9213,x9211,x9214,x9215),f224(x9213,x9212,x9214,x9215)) % 186.59/186.37 [922]~E(x9221,x9222)+E(f224(x9223,x9224,x9221,x9225),f224(x9223,x9224,x9222,x9225)) % 186.59/186.37 [923]~E(x9231,x9232)+E(f224(x9233,x9234,x9235,x9231),f224(x9233,x9234,x9235,x9232)) % 186.59/186.37 [924]~E(x9241,x9242)+E(f663(x9241,x9243,x9244,x9245,x9246),f663(x9242,x9243,x9244,x9245,x9246)) % 186.59/186.37 [925]~E(x9251,x9252)+E(f663(x9253,x9251,x9254,x9255,x9256),f663(x9253,x9252,x9254,x9255,x9256)) % 186.59/186.37 [926]~E(x9261,x9262)+E(f663(x9263,x9264,x9261,x9265,x9266),f663(x9263,x9264,x9262,x9265,x9266)) % 186.59/186.37 [927]~E(x9271,x9272)+E(f663(x9273,x9274,x9275,x9271,x9276),f663(x9273,x9274,x9275,x9272,x9276)) % 186.59/186.37 [928]~E(x9281,x9282)+E(f663(x9283,x9284,x9285,x9286,x9281),f663(x9283,x9284,x9285,x9286,x9282)) % 186.59/186.37 [929]~E(x9291,x9292)+E(f329(x9291,x9293),f329(x9292,x9293)) % 186.59/186.37 [930]~E(x9301,x9302)+E(f329(x9303,x9301),f329(x9303,x9302)) % 186.59/186.37 [931]~E(x9311,x9312)+E(f462(x9311,x9313,x9314),f462(x9312,x9313,x9314)) % 186.59/186.37 [932]~E(x9321,x9322)+E(f462(x9323,x9321,x9324),f462(x9323,x9322,x9324)) % 186.59/186.37 [933]~E(x9331,x9332)+E(f462(x9333,x9334,x9331),f462(x9333,x9334,x9332)) % 186.59/186.37 [934]~E(x9341,x9342)+E(f686(x9341,x9343,x9344,x9345,x9346),f686(x9342,x9343,x9344,x9345,x9346)) % 186.59/186.37 [935]~E(x9351,x9352)+E(f686(x9353,x9351,x9354,x9355,x9356),f686(x9353,x9352,x9354,x9355,x9356)) % 186.59/186.37 [936]~E(x9361,x9362)+E(f686(x9363,x9364,x9361,x9365,x9366),f686(x9363,x9364,x9362,x9365,x9366)) % 186.59/186.37 [937]~E(x9371,x9372)+E(f686(x9373,x9374,x9375,x9371,x9376),f686(x9373,x9374,x9375,x9372,x9376)) % 186.59/186.37 [938]~E(x9381,x9382)+E(f686(x9383,x9384,x9385,x9386,x9381),f686(x9383,x9384,x9385,x9386,x9382)) % 186.59/186.37 [939]~E(x9391,x9392)+E(f537(x9391,x9393,x9394,x9395),f537(x9392,x9393,x9394,x9395)) % 186.59/186.37 [940]~E(x9401,x9402)+E(f537(x9403,x9401,x9404,x9405),f537(x9403,x9402,x9404,x9405)) % 186.59/186.37 [941]~E(x9411,x9412)+E(f537(x9413,x9414,x9411,x9415),f537(x9413,x9414,x9412,x9415)) % 186.59/186.37 [942]~E(x9421,x9422)+E(f537(x9423,x9424,x9425,x9421),f537(x9423,x9424,x9425,x9422)) % 186.59/186.37 [943]~E(x9431,x9432)+E(f704(x9431,x9433,x9434),f704(x9432,x9433,x9434)) % 186.59/186.37 [944]~E(x9441,x9442)+E(f704(x9443,x9441,x9444),f704(x9443,x9442,x9444)) % 186.59/186.37 [945]~E(x9451,x9452)+E(f704(x9453,x9454,x9451),f704(x9453,x9454,x9452)) % 186.59/186.37 [946]~E(x9461,x9462)+E(f918(x9461,x9463,x9464,x9465,x9466),f918(x9462,x9463,x9464,x9465,x9466)) % 186.59/186.37 [947]~E(x9471,x9472)+E(f918(x9473,x9471,x9474,x9475,x9476),f918(x9473,x9472,x9474,x9475,x9476)) % 186.59/186.37 [948]~E(x9481,x9482)+E(f918(x9483,x9484,x9481,x9485,x9486),f918(x9483,x9484,x9482,x9485,x9486)) % 186.59/186.37 [949]~E(x9491,x9492)+E(f918(x9493,x9494,x9495,x9491,x9496),f918(x9493,x9494,x9495,x9492,x9496)) % 186.59/186.37 [950]~E(x9501,x9502)+E(f918(x9503,x9504,x9505,x9506,x9501),f918(x9503,x9504,x9505,x9506,x9502)) % 186.59/186.37 [951]~E(x9511,x9512)+E(f452(x9511,x9513,x9514),f452(x9512,x9513,x9514)) % 186.59/186.37 [952]~E(x9521,x9522)+E(f452(x9523,x9521,x9524),f452(x9523,x9522,x9524)) % 186.59/186.37 [953]~E(x9531,x9532)+E(f452(x9533,x9534,x9531),f452(x9533,x9534,x9532)) % 186.59/186.37 [954]~E(x9541,x9542)+E(f185(x9541,x9543),f185(x9542,x9543)) % 186.59/186.37 [955]~E(x9551,x9552)+E(f185(x9553,x9551),f185(x9553,x9552)) % 186.59/186.37 [956]~E(x9561,x9562)+E(f444(x9561,x9563,x9564,x9565),f444(x9562,x9563,x9564,x9565)) % 186.59/186.37 [957]~E(x9571,x9572)+E(f444(x9573,x9571,x9574,x9575),f444(x9573,x9572,x9574,x9575)) % 186.59/186.37 [958]~E(x9581,x9582)+E(f444(x9583,x9584,x9581,x9585),f444(x9583,x9584,x9582,x9585)) % 186.59/186.37 [959]~E(x9591,x9592)+E(f444(x9593,x9594,x9595,x9591),f444(x9593,x9594,x9595,x9592)) % 186.59/186.37 [960]~E(x9601,x9602)+E(f114(x9601,x9603),f114(x9602,x9603)) % 186.59/186.37 [961]~E(x9611,x9612)+E(f114(x9613,x9611),f114(x9613,x9612)) % 186.59/186.37 [962]~E(x9621,x9622)+E(f736(x9621,x9623),f736(x9622,x9623)) % 186.59/186.37 [963]~E(x9631,x9632)+E(f736(x9633,x9631),f736(x9633,x9632)) % 186.59/186.37 [964]~E(x9641,x9642)+E(f198(x9641,x9643,x9644,x9645),f198(x9642,x9643,x9644,x9645)) % 186.59/186.37 [965]~E(x9651,x9652)+E(f198(x9653,x9651,x9654,x9655),f198(x9653,x9652,x9654,x9655)) % 186.59/186.37 [966]~E(x9661,x9662)+E(f198(x9663,x9664,x9661,x9665),f198(x9663,x9664,x9662,x9665)) % 186.59/186.37 [967]~E(x9671,x9672)+E(f198(x9673,x9674,x9675,x9671),f198(x9673,x9674,x9675,x9672)) % 186.59/186.37 [968]~E(x9681,x9682)+E(f856(x9681,x9683,x9684,x9685,x9686,x9687),f856(x9682,x9683,x9684,x9685,x9686,x9687)) % 186.59/186.37 [969]~E(x9691,x9692)+E(f856(x9693,x9691,x9694,x9695,x9696,x9697),f856(x9693,x9692,x9694,x9695,x9696,x9697)) % 186.59/186.37 [970]~E(x9701,x9702)+E(f856(x9703,x9704,x9701,x9705,x9706,x9707),f856(x9703,x9704,x9702,x9705,x9706,x9707)) % 186.59/186.37 [971]~E(x9711,x9712)+E(f856(x9713,x9714,x9715,x9711,x9716,x9717),f856(x9713,x9714,x9715,x9712,x9716,x9717)) % 186.59/186.37 [972]~E(x9721,x9722)+E(f856(x9723,x9724,x9725,x9726,x9721,x9727),f856(x9723,x9724,x9725,x9726,x9722,x9727)) % 186.59/186.37 [973]~E(x9731,x9732)+E(f856(x9733,x9734,x9735,x9736,x9737,x9731),f856(x9733,x9734,x9735,x9736,x9737,x9732)) % 186.59/186.37 [974]~E(x9741,x9742)+E(f272(x9741,x9743,x9744,x9745),f272(x9742,x9743,x9744,x9745)) % 186.59/186.37 [975]~E(x9751,x9752)+E(f272(x9753,x9751,x9754,x9755),f272(x9753,x9752,x9754,x9755)) % 186.59/186.37 [976]~E(x9761,x9762)+E(f272(x9763,x9764,x9761,x9765),f272(x9763,x9764,x9762,x9765)) % 186.59/186.37 [977]~E(x9771,x9772)+E(f272(x9773,x9774,x9775,x9771),f272(x9773,x9774,x9775,x9772)) % 186.59/186.37 [978]~E(x9781,x9782)+E(f279(x9781,x9783),f279(x9782,x9783)) % 186.59/186.37 [979]~E(x9791,x9792)+E(f279(x9793,x9791),f279(x9793,x9792)) % 186.59/186.37 [980]~E(x9801,x9802)+E(f333(x9801,x9803,x9804),f333(x9802,x9803,x9804)) % 186.59/186.37 [981]~E(x9811,x9812)+E(f333(x9813,x9811,x9814),f333(x9813,x9812,x9814)) % 186.59/186.37 [982]~E(x9821,x9822)+E(f333(x9823,x9824,x9821),f333(x9823,x9824,x9822)) % 186.59/186.37 [983]~E(x9831,x9832)+E(f49(x9831),f49(x9832)) % 186.59/186.37 [984]~E(x9841,x9842)+E(f877(x9841,x9843,x9844),f877(x9842,x9843,x9844)) % 186.59/186.37 [985]~E(x9851,x9852)+E(f877(x9853,x9851,x9854),f877(x9853,x9852,x9854)) % 186.59/186.37 [986]~E(x9861,x9862)+E(f877(x9863,x9864,x9861),f877(x9863,x9864,x9862)) % 186.59/186.37 [987]~E(x9871,x9872)+E(f508(x9871,x9873,x9874),f508(x9872,x9873,x9874)) % 186.59/186.37 [988]~E(x9881,x9882)+E(f508(x9883,x9881,x9884),f508(x9883,x9882,x9884)) % 186.59/186.37 [989]~E(x9891,x9892)+E(f508(x9893,x9894,x9891),f508(x9893,x9894,x9892)) % 186.59/186.37 [990]~E(x9901,x9902)+E(f339(x9901,x9903,x9904),f339(x9902,x9903,x9904)) % 186.59/186.37 [991]~E(x9911,x9912)+E(f339(x9913,x9911,x9914),f339(x9913,x9912,x9914)) % 186.59/186.37 [992]~E(x9921,x9922)+E(f339(x9923,x9924,x9921),f339(x9923,x9924,x9922)) % 186.59/186.37 [993]~E(x9931,x9932)+E(f777(x9931,x9933,x9934,x9935),f777(x9932,x9933,x9934,x9935)) % 186.59/186.37 [994]~E(x9941,x9942)+E(f777(x9943,x9941,x9944,x9945),f777(x9943,x9942,x9944,x9945)) % 186.59/186.37 [995]~E(x9951,x9952)+E(f777(x9953,x9954,x9951,x9955),f777(x9953,x9954,x9952,x9955)) % 186.59/186.37 [996]~E(x9961,x9962)+E(f777(x9963,x9964,x9965,x9961),f777(x9963,x9964,x9965,x9962)) % 186.59/186.37 [997]~E(x9971,x9972)+E(f55(x9971,x9973,x9974),f55(x9972,x9973,x9974)) % 186.59/186.37 [998]~E(x9981,x9982)+E(f55(x9983,x9981,x9984),f55(x9983,x9982,x9984)) % 186.59/186.37 [999]~E(x9991,x9992)+E(f55(x9993,x9994,x9991),f55(x9993,x9994,x9992)) % 186.59/186.37 [1000]~E(x10001,x10002)+E(f521(x10001,x10003,x10004,x10005,x10006),f521(x10002,x10003,x10004,x10005,x10006)) % 186.59/186.37 [1001]~E(x10011,x10012)+E(f521(x10013,x10011,x10014,x10015,x10016),f521(x10013,x10012,x10014,x10015,x10016)) % 186.59/186.37 [1002]~E(x10021,x10022)+E(f521(x10023,x10024,x10021,x10025,x10026),f521(x10023,x10024,x10022,x10025,x10026)) % 186.59/186.37 [1003]~E(x10031,x10032)+E(f521(x10033,x10034,x10035,x10031,x10036),f521(x10033,x10034,x10035,x10032,x10036)) % 186.59/186.37 [1004]~E(x10041,x10042)+E(f521(x10043,x10044,x10045,x10046,x10041),f521(x10043,x10044,x10045,x10046,x10042)) % 186.59/186.37 [1005]~E(x10051,x10052)+E(f758(x10051,x10053,x10054),f758(x10052,x10053,x10054)) % 186.59/186.37 [1006]~E(x10061,x10062)+E(f758(x10063,x10061,x10064),f758(x10063,x10062,x10064)) % 186.59/186.37 [1007]~E(x10071,x10072)+E(f758(x10073,x10074,x10071),f758(x10073,x10074,x10072)) % 186.59/186.37 [1008]~E(x10081,x10082)+E(f443(x10081,x10083,x10084,x10085),f443(x10082,x10083,x10084,x10085)) % 186.59/186.37 [1009]~E(x10091,x10092)+E(f443(x10093,x10091,x10094,x10095),f443(x10093,x10092,x10094,x10095)) % 186.59/186.37 [1010]~E(x10101,x10102)+E(f443(x10103,x10104,x10101,x10105),f443(x10103,x10104,x10102,x10105)) % 186.59/186.37 [1011]~E(x10111,x10112)+E(f443(x10113,x10114,x10115,x10111),f443(x10113,x10114,x10115,x10112)) % 186.59/186.37 [1012]~E(x10121,x10122)+E(f865(x10121,x10123),f865(x10122,x10123)) % 186.59/186.37 [1013]~E(x10131,x10132)+E(f865(x10133,x10131),f865(x10133,x10132)) % 186.59/186.37 [1014]~E(x10141,x10142)+E(f379(x10141,x10143,x10144,x10145),f379(x10142,x10143,x10144,x10145)) % 186.59/186.37 [1015]~E(x10151,x10152)+E(f379(x10153,x10151,x10154,x10155),f379(x10153,x10152,x10154,x10155)) % 186.59/186.37 [1016]~E(x10161,x10162)+E(f379(x10163,x10164,x10161,x10165),f379(x10163,x10164,x10162,x10165)) % 186.59/186.37 [1017]~E(x10171,x10172)+E(f379(x10173,x10174,x10175,x10171),f379(x10173,x10174,x10175,x10172)) % 186.59/186.37 [1018]~E(x10181,x10182)+E(f481(x10181,x10183,x10184,x10185,x10186),f481(x10182,x10183,x10184,x10185,x10186)) % 186.59/186.37 [1019]~E(x10191,x10192)+E(f481(x10193,x10191,x10194,x10195,x10196),f481(x10193,x10192,x10194,x10195,x10196)) % 186.59/186.37 [1020]~E(x10201,x10202)+E(f481(x10203,x10204,x10201,x10205,x10206),f481(x10203,x10204,x10202,x10205,x10206)) % 186.59/186.37 [1021]~E(x10211,x10212)+E(f481(x10213,x10214,x10215,x10211,x10216),f481(x10213,x10214,x10215,x10212,x10216)) % 186.59/186.37 [1022]~E(x10221,x10222)+E(f481(x10223,x10224,x10225,x10226,x10221),f481(x10223,x10224,x10225,x10226,x10222)) % 186.59/186.37 [1023]~E(x10231,x10232)+E(f223(x10231,x10233,x10234),f223(x10232,x10233,x10234)) % 186.59/186.37 [1024]~E(x10241,x10242)+E(f223(x10243,x10241,x10244),f223(x10243,x10242,x10244)) % 186.59/186.37 [1025]~E(x10251,x10252)+E(f223(x10253,x10254,x10251),f223(x10253,x10254,x10252)) % 186.59/186.37 [1026]~E(x10261,x10262)+E(f518(x10261,x10263,x10264,x10265),f518(x10262,x10263,x10264,x10265)) % 186.59/186.37 [1027]~E(x10271,x10272)+E(f518(x10273,x10271,x10274,x10275),f518(x10273,x10272,x10274,x10275)) % 186.59/186.37 [1028]~E(x10281,x10282)+E(f518(x10283,x10284,x10281,x10285),f518(x10283,x10284,x10282,x10285)) % 186.59/186.37 [1029]~E(x10291,x10292)+E(f518(x10293,x10294,x10295,x10291),f518(x10293,x10294,x10295,x10292)) % 186.59/186.37 [1030]~E(x10301,x10302)+E(f159(x10301,x10303,x10304),f159(x10302,x10303,x10304)) % 186.59/186.37 [1031]~E(x10311,x10312)+E(f159(x10313,x10311,x10314),f159(x10313,x10312,x10314)) % 186.59/186.37 [1032]~E(x10321,x10322)+E(f159(x10323,x10324,x10321),f159(x10323,x10324,x10322)) % 186.59/186.37 [1033]~E(x10331,x10332)+E(f356(x10331,x10333,x10334,x10335,x10336),f356(x10332,x10333,x10334,x10335,x10336)) % 186.59/186.37 [1034]~E(x10341,x10342)+E(f356(x10343,x10341,x10344,x10345,x10346),f356(x10343,x10342,x10344,x10345,x10346)) % 186.59/186.37 [1035]~E(x10351,x10352)+E(f356(x10353,x10354,x10351,x10355,x10356),f356(x10353,x10354,x10352,x10355,x10356)) % 186.59/186.37 [1036]~E(x10361,x10362)+E(f356(x10363,x10364,x10365,x10361,x10366),f356(x10363,x10364,x10365,x10362,x10366)) % 186.59/186.37 [1037]~E(x10371,x10372)+E(f356(x10373,x10374,x10375,x10376,x10371),f356(x10373,x10374,x10375,x10376,x10372)) % 186.59/186.37 [1038]~E(x10381,x10382)+E(f699(x10381,x10383,x10384),f699(x10382,x10383,x10384)) % 186.59/186.37 [1039]~E(x10391,x10392)+E(f699(x10393,x10391,x10394),f699(x10393,x10392,x10394)) % 186.59/186.37 [1040]~E(x10401,x10402)+E(f699(x10403,x10404,x10401),f699(x10403,x10404,x10402)) % 186.59/186.37 [1041]~E(x10411,x10412)+E(f741(x10411,x10413,x10414,x10415),f741(x10412,x10413,x10414,x10415)) % 186.59/186.37 [1042]~E(x10421,x10422)+E(f741(x10423,x10421,x10424,x10425),f741(x10423,x10422,x10424,x10425)) % 186.59/186.37 [1043]~E(x10431,x10432)+E(f741(x10433,x10434,x10431,x10435),f741(x10433,x10434,x10432,x10435)) % 186.59/186.37 [1044]~E(x10441,x10442)+E(f741(x10443,x10444,x10445,x10441),f741(x10443,x10444,x10445,x10442)) % 186.59/186.37 [1045]~E(x10451,x10452)+E(f247(x10451,x10453,x10454,x10455),f247(x10452,x10453,x10454,x10455)) % 186.59/186.37 [1046]~E(x10461,x10462)+E(f247(x10463,x10461,x10464,x10465),f247(x10463,x10462,x10464,x10465)) % 186.59/186.37 [1047]~E(x10471,x10472)+E(f247(x10473,x10474,x10471,x10475),f247(x10473,x10474,x10472,x10475)) % 186.59/186.37 [1048]~E(x10481,x10482)+E(f247(x10483,x10484,x10485,x10481),f247(x10483,x10484,x10485,x10482)) % 186.59/186.37 [1049]~E(x10491,x10492)+E(f798(x10491,x10493),f798(x10492,x10493)) % 186.59/186.37 [1050]~E(x10501,x10502)+E(f798(x10503,x10501),f798(x10503,x10502)) % 186.59/186.37 [1051]~E(x10511,x10512)+E(f364(x10511,x10513,x10514,x10515),f364(x10512,x10513,x10514,x10515)) % 186.59/186.37 [1052]~E(x10521,x10522)+E(f364(x10523,x10521,x10524,x10525),f364(x10523,x10522,x10524,x10525)) % 186.59/186.37 [1053]~E(x10531,x10532)+E(f364(x10533,x10534,x10531,x10535),f364(x10533,x10534,x10532,x10535)) % 186.59/186.37 [1054]~E(x10541,x10542)+E(f364(x10543,x10544,x10545,x10541),f364(x10543,x10544,x10545,x10542)) % 186.59/186.37 [1055]~E(x10551,x10552)+E(f647(x10551,x10553,x10554,x10555),f647(x10552,x10553,x10554,x10555)) % 186.59/186.37 [1056]~E(x10561,x10562)+E(f647(x10563,x10561,x10564,x10565),f647(x10563,x10562,x10564,x10565)) % 186.59/186.37 [1057]~E(x10571,x10572)+E(f647(x10573,x10574,x10571,x10575),f647(x10573,x10574,x10572,x10575)) % 186.59/186.37 [1058]~E(x10581,x10582)+E(f647(x10583,x10584,x10585,x10581),f647(x10583,x10584,x10585,x10582)) % 186.59/186.37 [1059]~E(x10591,x10592)+E(f544(x10591,x10593,x10594,x10595,x10596,x10597,x10598,x10599),f544(x10592,x10593,x10594,x10595,x10596,x10597,x10598,x10599)) % 186.59/186.37 [1060]~E(x10601,x10602)+E(f544(x10603,x10601,x10604,x10605,x10606,x10607,x10608,x10609),f544(x10603,x10602,x10604,x10605,x10606,x10607,x10608,x10609)) % 186.59/186.37 [1061]~E(x10611,x10612)+E(f544(x10613,x10614,x10611,x10615,x10616,x10617,x10618,x10619),f544(x10613,x10614,x10612,x10615,x10616,x10617,x10618,x10619)) % 186.59/186.37 [1062]~E(x10621,x10622)+E(f544(x10623,x10624,x10625,x10621,x10626,x10627,x10628,x10629),f544(x10623,x10624,x10625,x10622,x10626,x10627,x10628,x10629)) % 186.59/186.37 [1063]~E(x10631,x10632)+E(f544(x10633,x10634,x10635,x10636,x10631,x10637,x10638,x10639),f544(x10633,x10634,x10635,x10636,x10632,x10637,x10638,x10639)) % 186.59/186.37 [1064]~E(x10641,x10642)+E(f544(x10643,x10644,x10645,x10646,x10647,x10641,x10648,x10649),f544(x10643,x10644,x10645,x10646,x10647,x10642,x10648,x10649)) % 186.59/186.37 [1065]~E(x10651,x10652)+E(f544(x10653,x10654,x10655,x10656,x10657,x10658,x10651,x10659),f544(x10653,x10654,x10655,x10656,x10657,x10658,x10652,x10659)) % 186.59/186.37 [1066]~E(x10661,x10662)+E(f544(x10663,x10664,x10665,x10666,x10667,x10668,x10669,x10661),f544(x10663,x10664,x10665,x10666,x10667,x10668,x10669,x10662)) % 186.59/186.37 [1067]~E(x10671,x10672)+E(f397(x10671,x10673,x10674,x10675),f397(x10672,x10673,x10674,x10675)) % 186.59/186.37 [1068]~E(x10681,x10682)+E(f397(x10683,x10681,x10684,x10685),f397(x10683,x10682,x10684,x10685)) % 186.59/186.37 [1069]~E(x10691,x10692)+E(f397(x10693,x10694,x10691,x10695),f397(x10693,x10694,x10692,x10695)) % 186.59/186.37 [1070]~E(x10701,x10702)+E(f397(x10703,x10704,x10705,x10701),f397(x10703,x10704,x10705,x10702)) % 186.59/186.37 [1071]~E(x10711,x10712)+E(f691(x10711,x10713,x10714,x10715),f691(x10712,x10713,x10714,x10715)) % 186.59/186.37 [1072]~E(x10721,x10722)+E(f691(x10723,x10721,x10724,x10725),f691(x10723,x10722,x10724,x10725)) % 186.59/186.37 [1073]~E(x10731,x10732)+E(f691(x10733,x10734,x10731,x10735),f691(x10733,x10734,x10732,x10735)) % 186.59/186.37 [1074]~E(x10741,x10742)+E(f691(x10743,x10744,x10745,x10741),f691(x10743,x10744,x10745,x10742)) % 186.59/186.37 [1075]~E(x10751,x10752)+E(f774(x10751,x10753,x10754),f774(x10752,x10753,x10754)) % 186.59/186.37 [1076]~E(x10761,x10762)+E(f774(x10763,x10761,x10764),f774(x10763,x10762,x10764)) % 186.59/186.37 [1077]~E(x10771,x10772)+E(f774(x10773,x10774,x10771),f774(x10773,x10774,x10772)) % 186.59/186.37 [1078]~E(x10781,x10782)+E(f773(x10781,x10783,x10784),f773(x10782,x10783,x10784)) % 186.59/186.37 [1079]~E(x10791,x10792)+E(f773(x10793,x10791,x10794),f773(x10793,x10792,x10794)) % 186.59/186.37 [1080]~E(x10801,x10802)+E(f773(x10803,x10804,x10801),f773(x10803,x10804,x10802)) % 186.59/186.37 [1081]~E(x10811,x10812)+E(f852(x10811,x10813,x10814,x10815,x10816,x10817,x10818,x10819),f852(x10812,x10813,x10814,x10815,x10816,x10817,x10818,x10819)) % 186.59/186.37 [1082]~E(x10821,x10822)+E(f852(x10823,x10821,x10824,x10825,x10826,x10827,x10828,x10829),f852(x10823,x10822,x10824,x10825,x10826,x10827,x10828,x10829)) % 186.59/186.37 [1083]~E(x10831,x10832)+E(f852(x10833,x10834,x10831,x10835,x10836,x10837,x10838,x10839),f852(x10833,x10834,x10832,x10835,x10836,x10837,x10838,x10839)) % 186.59/186.37 [1084]~E(x10841,x10842)+E(f852(x10843,x10844,x10845,x10841,x10846,x10847,x10848,x10849),f852(x10843,x10844,x10845,x10842,x10846,x10847,x10848,x10849)) % 186.59/186.37 [1085]~E(x10851,x10852)+E(f852(x10853,x10854,x10855,x10856,x10851,x10857,x10858,x10859),f852(x10853,x10854,x10855,x10856,x10852,x10857,x10858,x10859)) % 186.59/186.37 [1086]~E(x10861,x10862)+E(f852(x10863,x10864,x10865,x10866,x10867,x10861,x10868,x10869),f852(x10863,x10864,x10865,x10866,x10867,x10862,x10868,x10869)) % 186.59/186.37 [1087]~E(x10871,x10872)+E(f852(x10873,x10874,x10875,x10876,x10877,x10878,x10871,x10879),f852(x10873,x10874,x10875,x10876,x10877,x10878,x10872,x10879)) % 186.59/186.37 [1088]~E(x10881,x10882)+E(f852(x10883,x10884,x10885,x10886,x10887,x10888,x10889,x10881),f852(x10883,x10884,x10885,x10886,x10887,x10888,x10889,x10882)) % 186.59/186.37 [1089]~E(x10891,x10892)+E(f853(x10891,x10893,x10894,x10895,x10896,x10897,x10898,x10899),f853(x10892,x10893,x10894,x10895,x10896,x10897,x10898,x10899)) % 186.59/186.37 [1090]~E(x10901,x10902)+E(f853(x10903,x10901,x10904,x10905,x10906,x10907,x10908,x10909),f853(x10903,x10902,x10904,x10905,x10906,x10907,x10908,x10909)) % 186.59/186.37 [1091]~E(x10911,x10912)+E(f853(x10913,x10914,x10911,x10915,x10916,x10917,x10918,x10919),f853(x10913,x10914,x10912,x10915,x10916,x10917,x10918,x10919)) % 186.59/186.37 [1092]~E(x10921,x10922)+E(f853(x10923,x10924,x10925,x10921,x10926,x10927,x10928,x10929),f853(x10923,x10924,x10925,x10922,x10926,x10927,x10928,x10929)) % 186.59/186.37 [1093]~E(x10931,x10932)+E(f853(x10933,x10934,x10935,x10936,x10931,x10937,x10938,x10939),f853(x10933,x10934,x10935,x10936,x10932,x10937,x10938,x10939)) % 186.59/186.37 [1094]~E(x10941,x10942)+E(f853(x10943,x10944,x10945,x10946,x10947,x10941,x10948,x10949),f853(x10943,x10944,x10945,x10946,x10947,x10942,x10948,x10949)) % 186.59/186.37 [1095]~E(x10951,x10952)+E(f853(x10953,x10954,x10955,x10956,x10957,x10958,x10951,x10959),f853(x10953,x10954,x10955,x10956,x10957,x10958,x10952,x10959)) % 186.59/186.37 [1096]~E(x10961,x10962)+E(f853(x10963,x10964,x10965,x10966,x10967,x10968,x10969,x10961),f853(x10963,x10964,x10965,x10966,x10967,x10968,x10969,x10962)) % 186.59/186.37 [1097]~E(x10971,x10972)+E(f783(x10971,x10973,x10974,x10975),f783(x10972,x10973,x10974,x10975)) % 186.59/186.37 [1098]~E(x10981,x10982)+E(f783(x10983,x10981,x10984,x10985),f783(x10983,x10982,x10984,x10985)) % 186.59/186.37 [1099]~E(x10991,x10992)+E(f783(x10993,x10994,x10991,x10995),f783(x10993,x10994,x10992,x10995)) % 186.59/186.37 [1100]~E(x11001,x11002)+E(f783(x11003,x11004,x11005,x11001),f783(x11003,x11004,x11005,x11002)) % 186.59/186.37 [1101]~E(x11011,x11012)+E(f743(x11011,x11013),f743(x11012,x11013)) % 186.59/186.37 [1102]~E(x11021,x11022)+E(f743(x11023,x11021),f743(x11023,x11022)) % 186.59/186.37 [1103]~E(x11031,x11032)+E(f665(x11031,x11033,x11034),f665(x11032,x11033,x11034)) % 186.59/186.37 [1104]~E(x11041,x11042)+E(f665(x11043,x11041,x11044),f665(x11043,x11042,x11044)) % 186.59/186.37 [1105]~E(x11051,x11052)+E(f665(x11053,x11054,x11051),f665(x11053,x11054,x11052)) % 186.59/186.37 [1106]~E(x11061,x11062)+E(f638(x11061,x11063,x11064,x11065,x11066),f638(x11062,x11063,x11064,x11065,x11066)) % 186.59/186.37 [1107]~E(x11071,x11072)+E(f638(x11073,x11071,x11074,x11075,x11076),f638(x11073,x11072,x11074,x11075,x11076)) % 186.59/186.37 [1108]~E(x11081,x11082)+E(f638(x11083,x11084,x11081,x11085,x11086),f638(x11083,x11084,x11082,x11085,x11086)) % 186.59/186.37 [1109]~E(x11091,x11092)+E(f638(x11093,x11094,x11095,x11091,x11096),f638(x11093,x11094,x11095,x11092,x11096)) % 186.59/186.37 [1110]~E(x11101,x11102)+E(f638(x11103,x11104,x11105,x11106,x11101),f638(x11103,x11104,x11105,x11106,x11102)) % 186.59/186.37 [1111]~E(x11111,x11112)+E(f751(x11111,x11113,x11114,x11115,x11116),f751(x11112,x11113,x11114,x11115,x11116)) % 186.59/186.37 [1112]~E(x11121,x11122)+E(f751(x11123,x11121,x11124,x11125,x11126),f751(x11123,x11122,x11124,x11125,x11126)) % 186.59/186.37 [1113]~E(x11131,x11132)+E(f751(x11133,x11134,x11131,x11135,x11136),f751(x11133,x11134,x11132,x11135,x11136)) % 186.59/186.37 [1114]~E(x11141,x11142)+E(f751(x11143,x11144,x11145,x11141,x11146),f751(x11143,x11144,x11145,x11142,x11146)) % 186.59/186.37 [1115]~E(x11151,x11152)+E(f751(x11153,x11154,x11155,x11156,x11151),f751(x11153,x11154,x11155,x11156,x11152)) % 186.59/186.37 [1116]~E(x11161,x11162)+E(f357(x11161),f357(x11162)) % 186.59/186.37 [1117]~E(x11171,x11172)+E(f796(x11171,x11173,x11174,x11175,x11176,x11177,x11178),f796(x11172,x11173,x11174,x11175,x11176,x11177,x11178)) % 186.59/186.37 [1118]~E(x11181,x11182)+E(f796(x11183,x11181,x11184,x11185,x11186,x11187,x11188),f796(x11183,x11182,x11184,x11185,x11186,x11187,x11188)) % 186.59/186.37 [1119]~E(x11191,x11192)+E(f796(x11193,x11194,x11191,x11195,x11196,x11197,x11198),f796(x11193,x11194,x11192,x11195,x11196,x11197,x11198)) % 186.59/186.37 [1120]~E(x11201,x11202)+E(f796(x11203,x11204,x11205,x11201,x11206,x11207,x11208),f796(x11203,x11204,x11205,x11202,x11206,x11207,x11208)) % 186.59/186.37 [1121]~E(x11211,x11212)+E(f796(x11213,x11214,x11215,x11216,x11211,x11217,x11218),f796(x11213,x11214,x11215,x11216,x11212,x11217,x11218)) % 186.59/186.37 [1122]~E(x11221,x11222)+E(f796(x11223,x11224,x11225,x11226,x11227,x11221,x11228),f796(x11223,x11224,x11225,x11226,x11227,x11222,x11228)) % 186.59/186.37 [1123]~E(x11231,x11232)+E(f796(x11233,x11234,x11235,x11236,x11237,x11238,x11231),f796(x11233,x11234,x11235,x11236,x11237,x11238,x11232)) % 186.59/186.37 [1124]~E(x11241,x11242)+E(f139(x11241,x11243),f139(x11242,x11243)) % 186.59/186.37 [1125]~E(x11251,x11252)+E(f139(x11253,x11251),f139(x11253,x11252)) % 186.59/186.37 [1126]~E(x11261,x11262)+E(f661(x11261,x11263,x11264,x11265,x11266),f661(x11262,x11263,x11264,x11265,x11266)) % 186.59/186.37 [1127]~E(x11271,x11272)+E(f661(x11273,x11271,x11274,x11275,x11276),f661(x11273,x11272,x11274,x11275,x11276)) % 186.59/186.37 [1128]~E(x11281,x11282)+E(f661(x11283,x11284,x11281,x11285,x11286),f661(x11283,x11284,x11282,x11285,x11286)) % 186.59/186.37 [1129]~E(x11291,x11292)+E(f661(x11293,x11294,x11295,x11291,x11296),f661(x11293,x11294,x11295,x11292,x11296)) % 186.59/186.37 [1130]~E(x11301,x11302)+E(f661(x11303,x11304,x11305,x11306,x11301),f661(x11303,x11304,x11305,x11306,x11302)) % 186.59/186.37 [1131]~E(x11311,x11312)+E(f348(x11311,x11313,x11314),f348(x11312,x11313,x11314)) % 186.59/186.37 [1132]~E(x11321,x11322)+E(f348(x11323,x11321,x11324),f348(x11323,x11322,x11324)) % 186.59/186.37 [1133]~E(x11331,x11332)+E(f348(x11333,x11334,x11331),f348(x11333,x11334,x11332)) % 186.59/186.37 [1134]~E(x11341,x11342)+E(f470(x11341,x11343),f470(x11342,x11343)) % 186.59/186.37 [1135]~E(x11351,x11352)+E(f470(x11353,x11351),f470(x11353,x11352)) % 186.59/186.37 [1136]~E(x11361,x11362)+E(f671(x11361,x11363,x11364,x11365),f671(x11362,x11363,x11364,x11365)) % 186.59/186.37 [1137]~E(x11371,x11372)+E(f671(x11373,x11371,x11374,x11375),f671(x11373,x11372,x11374,x11375)) % 186.59/186.37 [1138]~E(x11381,x11382)+E(f671(x11383,x11384,x11381,x11385),f671(x11383,x11384,x11382,x11385)) % 186.59/186.37 [1139]~E(x11391,x11392)+E(f671(x11393,x11394,x11395,x11391),f671(x11393,x11394,x11395,x11392)) % 186.59/186.37 [1140]~E(x11401,x11402)+E(f711(x11401,x11403,x11404),f711(x11402,x11403,x11404)) % 186.59/186.37 [1141]~E(x11411,x11412)+E(f711(x11413,x11411,x11414),f711(x11413,x11412,x11414)) % 186.59/186.37 [1142]~E(x11421,x11422)+E(f711(x11423,x11424,x11421),f711(x11423,x11424,x11422)) % 186.59/186.37 [1143]~E(x11431,x11432)+E(f680(x11431,x11433,x11434),f680(x11432,x11433,x11434)) % 186.59/186.37 [1144]~E(x11441,x11442)+E(f680(x11443,x11441,x11444),f680(x11443,x11442,x11444)) % 186.59/186.37 [1145]~E(x11451,x11452)+E(f680(x11453,x11454,x11451),f680(x11453,x11454,x11452)) % 186.59/186.37 [1146]~E(x11461,x11462)+E(f882(x11461,x11463,x11464,x11465),f882(x11462,x11463,x11464,x11465)) % 186.59/186.37 [1147]~E(x11471,x11472)+E(f882(x11473,x11471,x11474,x11475),f882(x11473,x11472,x11474,x11475)) % 186.59/186.37 [1148]~E(x11481,x11482)+E(f882(x11483,x11484,x11481,x11485),f882(x11483,x11484,x11482,x11485)) % 186.59/186.37 [1149]~E(x11491,x11492)+E(f882(x11493,x11494,x11495,x11491),f882(x11493,x11494,x11495,x11492)) % 186.59/186.37 [1150]~E(x11501,x11502)+E(f495(x11501,x11503,x11504),f495(x11502,x11503,x11504)) % 186.59/186.37 [1151]~E(x11511,x11512)+E(f495(x11513,x11511,x11514),f495(x11513,x11512,x11514)) % 186.59/186.37 [1152]~E(x11521,x11522)+E(f495(x11523,x11524,x11521),f495(x11523,x11524,x11522)) % 186.59/186.37 [1153]~E(x11531,x11532)+E(f194(x11531),f194(x11532)) % 186.59/186.37 [1154]~E(x11541,x11542)+E(f623(x11541,x11543,x11544),f623(x11542,x11543,x11544)) % 186.59/186.37 [1155]~E(x11551,x11552)+E(f623(x11553,x11551,x11554),f623(x11553,x11552,x11554)) % 186.59/186.37 [1156]~E(x11561,x11562)+E(f623(x11563,x11564,x11561),f623(x11563,x11564,x11562)) % 186.59/186.37 [1157]~E(x11571,x11572)+E(f311(x11571,x11573,x11574,x11575),f311(x11572,x11573,x11574,x11575)) % 186.59/186.37 [1158]~E(x11581,x11582)+E(f311(x11583,x11581,x11584,x11585),f311(x11583,x11582,x11584,x11585)) % 186.59/186.37 [1159]~E(x11591,x11592)+E(f311(x11593,x11594,x11591,x11595),f311(x11593,x11594,x11592,x11595)) % 186.59/186.37 [1160]~E(x11601,x11602)+E(f311(x11603,x11604,x11605,x11601),f311(x11603,x11604,x11605,x11602)) % 186.59/186.37 [1161]~E(x11611,x11612)+E(f563(x11611,x11613,x11614,x11615),f563(x11612,x11613,x11614,x11615)) % 186.59/186.37 [1162]~E(x11621,x11622)+E(f563(x11623,x11621,x11624,x11625),f563(x11623,x11622,x11624,x11625)) % 186.59/186.37 [1163]~E(x11631,x11632)+E(f563(x11633,x11634,x11631,x11635),f563(x11633,x11634,x11632,x11635)) % 186.59/186.37 [1164]~E(x11641,x11642)+E(f563(x11643,x11644,x11645,x11641),f563(x11643,x11644,x11645,x11642)) % 186.59/186.37 [1165]~E(x11651,x11652)+E(f399(x11651,x11653,x11654,x11655),f399(x11652,x11653,x11654,x11655)) % 186.59/186.37 [1166]~E(x11661,x11662)+E(f399(x11663,x11661,x11664,x11665),f399(x11663,x11662,x11664,x11665)) % 186.59/186.37 [1167]~E(x11671,x11672)+E(f399(x11673,x11674,x11671,x11675),f399(x11673,x11674,x11672,x11675)) % 186.59/186.37 [1168]~E(x11681,x11682)+E(f399(x11683,x11684,x11685,x11681),f399(x11683,x11684,x11685,x11682)) % 186.59/186.37 [1169]~E(x11691,x11692)+E(f849(x11691,x11693,x11694,x11695,x11696,x11697,x11698,x11699),f849(x11692,x11693,x11694,x11695,x11696,x11697,x11698,x11699)) % 186.59/186.37 [1170]~E(x11701,x11702)+E(f849(x11703,x11701,x11704,x11705,x11706,x11707,x11708,x11709),f849(x11703,x11702,x11704,x11705,x11706,x11707,x11708,x11709)) % 186.59/186.37 [1171]~E(x11711,x11712)+E(f849(x11713,x11714,x11711,x11715,x11716,x11717,x11718,x11719),f849(x11713,x11714,x11712,x11715,x11716,x11717,x11718,x11719)) % 186.59/186.37 [1172]~E(x11721,x11722)+E(f849(x11723,x11724,x11725,x11721,x11726,x11727,x11728,x11729),f849(x11723,x11724,x11725,x11722,x11726,x11727,x11728,x11729)) % 186.59/186.37 [1173]~E(x11731,x11732)+E(f849(x11733,x11734,x11735,x11736,x11731,x11737,x11738,x11739),f849(x11733,x11734,x11735,x11736,x11732,x11737,x11738,x11739)) % 186.59/186.37 [1174]~E(x11741,x11742)+E(f849(x11743,x11744,x11745,x11746,x11747,x11741,x11748,x11749),f849(x11743,x11744,x11745,x11746,x11747,x11742,x11748,x11749)) % 186.59/186.37 [1175]~E(x11751,x11752)+E(f849(x11753,x11754,x11755,x11756,x11757,x11758,x11751,x11759),f849(x11753,x11754,x11755,x11756,x11757,x11758,x11752,x11759)) % 186.59/186.37 [1176]~E(x11761,x11762)+E(f849(x11763,x11764,x11765,x11766,x11767,x11768,x11769,x11761),f849(x11763,x11764,x11765,x11766,x11767,x11768,x11769,x11762)) % 186.59/186.37 [1177]~E(x11771,x11772)+E(f869(x11771,x11773,x11774),f869(x11772,x11773,x11774)) % 186.59/186.37 [1178]~E(x11781,x11782)+E(f869(x11783,x11781,x11784),f869(x11783,x11782,x11784)) % 186.59/186.37 [1179]~E(x11791,x11792)+E(f869(x11793,x11794,x11791),f869(x11793,x11794,x11792)) % 186.59/186.37 [1180]~E(x11801,x11802)+E(f589(x11801,x11803),f589(x11802,x11803)) % 186.59/186.37 [1181]~E(x11811,x11812)+E(f589(x11813,x11811),f589(x11813,x11812)) % 186.59/186.37 [1182]~E(x11821,x11822)+E(f776(x11821,x11823,x11824,x11825),f776(x11822,x11823,x11824,x11825)) % 186.59/186.37 [1183]~E(x11831,x11832)+E(f776(x11833,x11831,x11834,x11835),f776(x11833,x11832,x11834,x11835)) % 186.59/186.37 [1184]~E(x11841,x11842)+E(f776(x11843,x11844,x11841,x11845),f776(x11843,x11844,x11842,x11845)) % 186.59/186.37 [1185]~E(x11851,x11852)+E(f776(x11853,x11854,x11855,x11851),f776(x11853,x11854,x11855,x11852)) % 186.59/186.37 [1186]~E(x11861,x11862)+E(f837(x11861,x11863,x11864,x11865),f837(x11862,x11863,x11864,x11865)) % 186.59/186.37 [1187]~E(x11871,x11872)+E(f837(x11873,x11871,x11874,x11875),f837(x11873,x11872,x11874,x11875)) % 186.59/186.37 [1188]~E(x11881,x11882)+E(f837(x11883,x11884,x11881,x11885),f837(x11883,x11884,x11882,x11885)) % 186.59/186.37 [1189]~E(x11891,x11892)+E(f837(x11893,x11894,x11895,x11891),f837(x11893,x11894,x11895,x11892)) % 186.59/186.37 [1190]~E(x11901,x11902)+E(f439(x11901,x11903,x11904),f439(x11902,x11903,x11904)) % 186.59/186.37 [1191]~E(x11911,x11912)+E(f439(x11913,x11911,x11914),f439(x11913,x11912,x11914)) % 186.59/186.37 [1192]~E(x11921,x11922)+E(f439(x11923,x11924,x11921),f439(x11923,x11924,x11922)) % 186.59/186.37 [1193]~E(x11931,x11932)+E(f543(x11931,x11933,x11934,x11935),f543(x11932,x11933,x11934,x11935)) % 186.59/186.37 [1194]~E(x11941,x11942)+E(f543(x11943,x11941,x11944,x11945),f543(x11943,x11942,x11944,x11945)) % 186.59/186.37 [1195]~E(x11951,x11952)+E(f543(x11953,x11954,x11951,x11955),f543(x11953,x11954,x11952,x11955)) % 186.59/186.37 [1196]~E(x11961,x11962)+E(f543(x11963,x11964,x11965,x11961),f543(x11963,x11964,x11965,x11962)) % 186.59/186.37 [1197]~E(x11971,x11972)+E(f121(x11971,x11973),f121(x11972,x11973)) % 186.59/186.37 [1198]~E(x11981,x11982)+E(f121(x11983,x11981),f121(x11983,x11982)) % 186.59/186.37 [1199]~E(x11991,x11992)+E(f125(x11991,x11993),f125(x11992,x11993)) % 186.59/186.37 [1200]~E(x12001,x12002)+E(f125(x12003,x12001),f125(x12003,x12002)) % 186.59/186.37 [1201]~E(x12011,x12012)+E(f633(x12011,x12013,x12014,x12015,x12016),f633(x12012,x12013,x12014,x12015,x12016)) % 186.59/186.37 [1202]~E(x12021,x12022)+E(f633(x12023,x12021,x12024,x12025,x12026),f633(x12023,x12022,x12024,x12025,x12026)) % 186.59/186.37 [1203]~E(x12031,x12032)+E(f633(x12033,x12034,x12031,x12035,x12036),f633(x12033,x12034,x12032,x12035,x12036)) % 186.59/186.37 [1204]~E(x12041,x12042)+E(f633(x12043,x12044,x12045,x12041,x12046),f633(x12043,x12044,x12045,x12042,x12046)) % 186.59/186.37 [1205]~E(x12051,x12052)+E(f633(x12053,x12054,x12055,x12056,x12051),f633(x12053,x12054,x12055,x12056,x12052)) % 186.59/186.37 [1206]~E(x12061,x12062)+E(f87(x12061),f87(x12062)) % 186.59/186.37 [1207]~E(x12071,x12072)+E(f437(x12071,x12073,x12074),f437(x12072,x12073,x12074)) % 186.59/186.37 [1208]~E(x12081,x12082)+E(f437(x12083,x12081,x12084),f437(x12083,x12082,x12084)) % 186.59/186.37 [1209]~E(x12091,x12092)+E(f437(x12093,x12094,x12091),f437(x12093,x12094,x12092)) % 186.59/186.37 [1210]~E(x12101,x12102)+E(f850(x12101,x12103,x12104,x12105,x12106,x12107,x12108,x12109),f850(x12102,x12103,x12104,x12105,x12106,x12107,x12108,x12109)) % 186.59/186.37 [1211]~E(x12111,x12112)+E(f850(x12113,x12111,x12114,x12115,x12116,x12117,x12118,x12119),f850(x12113,x12112,x12114,x12115,x12116,x12117,x12118,x12119)) % 186.59/186.37 [1212]~E(x12121,x12122)+E(f850(x12123,x12124,x12121,x12125,x12126,x12127,x12128,x12129),f850(x12123,x12124,x12122,x12125,x12126,x12127,x12128,x12129)) % 186.59/186.37 [1213]~E(x12131,x12132)+E(f850(x12133,x12134,x12135,x12131,x12136,x12137,x12138,x12139),f850(x12133,x12134,x12135,x12132,x12136,x12137,x12138,x12139)) % 186.59/186.37 [1214]~E(x12141,x12142)+E(f850(x12143,x12144,x12145,x12146,x12141,x12147,x12148,x12149),f850(x12143,x12144,x12145,x12146,x12142,x12147,x12148,x12149)) % 186.59/186.37 [1215]~E(x12151,x12152)+E(f850(x12153,x12154,x12155,x12156,x12157,x12151,x12158,x12159),f850(x12153,x12154,x12155,x12156,x12157,x12152,x12158,x12159)) % 186.59/186.37 [1216]~E(x12161,x12162)+E(f850(x12163,x12164,x12165,x12166,x12167,x12168,x12161,x12169),f850(x12163,x12164,x12165,x12166,x12167,x12168,x12162,x12169)) % 186.59/186.37 [1217]~E(x12171,x12172)+E(f850(x12173,x12174,x12175,x12176,x12177,x12178,x12179,x12171),f850(x12173,x12174,x12175,x12176,x12177,x12178,x12179,x12172)) % 186.59/186.37 [1218]~E(x12181,x12182)+E(f347(x12181,x12183),f347(x12182,x12183)) % 186.59/186.37 [1219]~E(x12191,x12192)+E(f347(x12193,x12191),f347(x12193,x12192)) % 186.59/186.37 [1220]~E(x12201,x12202)+E(f427(x12201,x12203),f427(x12202,x12203)) % 186.59/186.37 [1221]~E(x12211,x12212)+E(f427(x12213,x12211),f427(x12213,x12212)) % 186.59/186.37 [1222]~E(x12221,x12222)+E(f512(x12221,x12223,x12224,x12225,x12226,x12227),f512(x12222,x12223,x12224,x12225,x12226,x12227)) % 186.59/186.37 [1223]~E(x12231,x12232)+E(f512(x12233,x12231,x12234,x12235,x12236,x12237),f512(x12233,x12232,x12234,x12235,x12236,x12237)) % 186.59/186.37 [1224]~E(x12241,x12242)+E(f512(x12243,x12244,x12241,x12245,x12246,x12247),f512(x12243,x12244,x12242,x12245,x12246,x12247)) % 186.59/186.37 [1225]~E(x12251,x12252)+E(f512(x12253,x12254,x12255,x12251,x12256,x12257),f512(x12253,x12254,x12255,x12252,x12256,x12257)) % 186.59/186.37 [1226]~E(x12261,x12262)+E(f512(x12263,x12264,x12265,x12266,x12261,x12267),f512(x12263,x12264,x12265,x12266,x12262,x12267)) % 186.59/186.37 [1227]~E(x12271,x12272)+E(f512(x12273,x12274,x12275,x12276,x12277,x12271),f512(x12273,x12274,x12275,x12276,x12277,x12272)) % 186.59/186.37 [1228]~E(x12281,x12282)+E(f608(x12281,x12283,x12284),f608(x12282,x12283,x12284)) % 186.59/186.37 [1229]~E(x12291,x12292)+E(f608(x12293,x12291,x12294),f608(x12293,x12292,x12294)) % 186.59/186.37 [1230]~E(x12301,x12302)+E(f608(x12303,x12304,x12301),f608(x12303,x12304,x12302)) % 186.59/186.37 [1231]~E(x12311,x12312)+E(f778(x12311,x12313,x12314,x12315),f778(x12312,x12313,x12314,x12315)) % 186.59/186.37 [1232]~E(x12321,x12322)+E(f778(x12323,x12321,x12324,x12325),f778(x12323,x12322,x12324,x12325)) % 186.59/186.37 [1233]~E(x12331,x12332)+E(f778(x12333,x12334,x12331,x12335),f778(x12333,x12334,x12332,x12335)) % 186.59/186.37 [1234]~E(x12341,x12342)+E(f778(x12343,x12344,x12345,x12341),f778(x12343,x12344,x12345,x12342)) % 186.59/186.37 [1235]~E(x12351,x12352)+E(f523(x12351,x12353,x12354),f523(x12352,x12353,x12354)) % 186.59/186.37 [1236]~E(x12361,x12362)+E(f523(x12363,x12361,x12364),f523(x12363,x12362,x12364)) % 186.59/186.37 [1237]~E(x12371,x12372)+E(f523(x12373,x12374,x12371),f523(x12373,x12374,x12372)) % 186.59/186.37 [1238]~E(x12381,x12382)+E(f698(x12381,x12383,x12384),f698(x12382,x12383,x12384)) % 186.59/186.37 [1239]~E(x12391,x12392)+E(f698(x12393,x12391,x12394),f698(x12393,x12392,x12394)) % 186.59/186.37 [1240]~E(x12401,x12402)+E(f698(x12403,x12404,x12401),f698(x12403,x12404,x12402)) % 186.59/186.37 [1241]~E(x12411,x12412)+E(f269(x12411,x12413,x12414,x12415),f269(x12412,x12413,x12414,x12415)) % 186.59/186.37 [1242]~E(x12421,x12422)+E(f269(x12423,x12421,x12424,x12425),f269(x12423,x12422,x12424,x12425)) % 186.59/186.37 [1243]~E(x12431,x12432)+E(f269(x12433,x12434,x12431,x12435),f269(x12433,x12434,x12432,x12435)) % 186.59/186.37 [1244]~E(x12441,x12442)+E(f269(x12443,x12444,x12445,x12441),f269(x12443,x12444,x12445,x12442)) % 186.59/186.37 [1245]~E(x12451,x12452)+E(f36(x12451),f36(x12452)) % 186.59/186.37 [1246]~E(x12461,x12462)+E(f737(x12461,x12463),f737(x12462,x12463)) % 186.59/186.37 [1247]~E(x12471,x12472)+E(f737(x12473,x12471),f737(x12473,x12472)) % 186.59/186.37 [1248]~E(x12481,x12482)+E(f116(x12481),f116(x12482)) % 186.59/186.37 [1249]~E(x12491,x12492)+E(f517(x12491,x12493,x12494),f517(x12492,x12493,x12494)) % 186.59/186.37 [1250]~E(x12501,x12502)+E(f517(x12503,x12501,x12504),f517(x12503,x12502,x12504)) % 186.59/186.37 [1251]~E(x12511,x12512)+E(f517(x12513,x12514,x12511),f517(x12513,x12514,x12512)) % 186.59/186.37 [1252]~E(x12521,x12522)+E(f128(x12521),f128(x12522)) % 186.59/186.37 [1253]~E(x12531,x12532)+E(f836(x12531,x12533,x12534,x12535),f836(x12532,x12533,x12534,x12535)) % 186.59/186.37 [1254]~E(x12541,x12542)+E(f836(x12543,x12541,x12544,x12545),f836(x12543,x12542,x12544,x12545)) % 186.59/186.37 [1255]~E(x12551,x12552)+E(f836(x12553,x12554,x12551,x12555),f836(x12553,x12554,x12552,x12555)) % 186.59/186.37 [1256]~E(x12561,x12562)+E(f836(x12563,x12564,x12565,x12561),f836(x12563,x12564,x12565,x12562)) % 186.59/186.37 [1257]~E(x12571,x12572)+E(f122(x12571),f122(x12572)) % 186.59/186.37 [1258]~E(x12581,x12582)+E(f601(x12581,x12583,x12584,x12585,x12586,x12587),f601(x12582,x12583,x12584,x12585,x12586,x12587)) % 186.59/186.37 [1259]~E(x12591,x12592)+E(f601(x12593,x12591,x12594,x12595,x12596,x12597),f601(x12593,x12592,x12594,x12595,x12596,x12597)) % 186.59/186.37 [1260]~E(x12601,x12602)+E(f601(x12603,x12604,x12601,x12605,x12606,x12607),f601(x12603,x12604,x12602,x12605,x12606,x12607)) % 186.59/186.37 [1261]~E(x12611,x12612)+E(f601(x12613,x12614,x12615,x12611,x12616,x12617),f601(x12613,x12614,x12615,x12612,x12616,x12617)) % 186.59/186.37 [1262]~E(x12621,x12622)+E(f601(x12623,x12624,x12625,x12626,x12621,x12627),f601(x12623,x12624,x12625,x12626,x12622,x12627)) % 186.59/186.37 [1263]~E(x12631,x12632)+E(f601(x12633,x12634,x12635,x12636,x12637,x12631),f601(x12633,x12634,x12635,x12636,x12637,x12632)) % 186.59/186.37 [1264]~E(x12641,x12642)+E(f710(x12641,x12643,x12644),f710(x12642,x12643,x12644)) % 186.59/186.37 [1265]~E(x12651,x12652)+E(f710(x12653,x12651,x12654),f710(x12653,x12652,x12654)) % 186.59/186.37 [1266]~E(x12661,x12662)+E(f710(x12663,x12664,x12661),f710(x12663,x12664,x12662)) % 186.59/186.37 [1267]~E(x12671,x12672)+E(f732(x12671,x12673),f732(x12672,x12673)) % 186.59/186.37 [1268]~E(x12681,x12682)+E(f732(x12683,x12681),f732(x12683,x12682)) % 186.59/186.37 [1269]~E(x12691,x12692)+E(f611(x12691,x12693,x12694),f611(x12692,x12693,x12694)) % 186.59/186.37 [1270]~E(x12701,x12702)+E(f611(x12703,x12701,x12704),f611(x12703,x12702,x12704)) % 186.59/186.37 [1271]~E(x12711,x12712)+E(f611(x12713,x12714,x12711),f611(x12713,x12714,x12712)) % 186.59/186.37 [1272]~E(x12721,x12722)+E(f889(x12721,x12723),f889(x12722,x12723)) % 186.59/186.37 [1273]~E(x12731,x12732)+E(f889(x12733,x12731),f889(x12733,x12732)) % 186.59/186.37 [1274]~E(x12741,x12742)+E(f242(x12741,x12743,x12744),f242(x12742,x12743,x12744)) % 186.59/186.37 [1275]~E(x12751,x12752)+E(f242(x12753,x12751,x12754),f242(x12753,x12752,x12754)) % 186.59/186.37 [1276]~E(x12761,x12762)+E(f242(x12763,x12764,x12761),f242(x12763,x12764,x12762)) % 186.59/186.37 [1277]~E(x12771,x12772)+E(f196(x12771,x12773,x12774),f196(x12772,x12773,x12774)) % 186.59/186.37 [1278]~E(x12781,x12782)+E(f196(x12783,x12781,x12784),f196(x12783,x12782,x12784)) % 186.59/186.37 [1279]~E(x12791,x12792)+E(f196(x12793,x12794,x12791),f196(x12793,x12794,x12792)) % 186.59/186.37 [1280]~E(x12801,x12802)+E(f646(x12801,x12803),f646(x12802,x12803)) % 186.59/186.37 [1281]~E(x12811,x12812)+E(f646(x12813,x12811),f646(x12813,x12812)) % 186.59/186.37 [1282]~E(x12821,x12822)+E(f484(x12821,x12823,x12824,x12825,x12826),f484(x12822,x12823,x12824,x12825,x12826)) % 186.59/186.37 [1283]~E(x12831,x12832)+E(f484(x12833,x12831,x12834,x12835,x12836),f484(x12833,x12832,x12834,x12835,x12836)) % 186.59/186.37 [1284]~E(x12841,x12842)+E(f484(x12843,x12844,x12841,x12845,x12846),f484(x12843,x12844,x12842,x12845,x12846)) % 186.59/186.37 [1285]~E(x12851,x12852)+E(f484(x12853,x12854,x12855,x12851,x12856),f484(x12853,x12854,x12855,x12852,x12856)) % 186.59/186.37 [1286]~E(x12861,x12862)+E(f484(x12863,x12864,x12865,x12866,x12861),f484(x12863,x12864,x12865,x12866,x12862)) % 186.59/186.37 [1287]~E(x12871,x12872)+E(f576(x12871,x12873,x12874,x12875,x12876),f576(x12872,x12873,x12874,x12875,x12876)) % 186.59/186.37 [1288]~E(x12881,x12882)+E(f576(x12883,x12881,x12884,x12885,x12886),f576(x12883,x12882,x12884,x12885,x12886)) % 186.59/186.37 [1289]~E(x12891,x12892)+E(f576(x12893,x12894,x12891,x12895,x12896),f576(x12893,x12894,x12892,x12895,x12896)) % 186.59/186.37 [1290]~E(x12901,x12902)+E(f576(x12903,x12904,x12905,x12901,x12906),f576(x12903,x12904,x12905,x12902,x12906)) % 186.59/186.37 [1291]~E(x12911,x12912)+E(f576(x12913,x12914,x12915,x12916,x12911),f576(x12913,x12914,x12915,x12916,x12912)) % 186.59/186.37 [1292]~E(x12921,x12922)+E(f902(x12921,x12923,x12924),f902(x12922,x12923,x12924)) % 186.59/186.37 [1293]~E(x12931,x12932)+E(f902(x12933,x12931,x12934),f902(x12933,x12932,x12934)) % 186.59/186.37 [1294]~E(x12941,x12942)+E(f902(x12943,x12944,x12941),f902(x12943,x12944,x12942)) % 186.59/186.37 [1295]~E(x12951,x12952)+E(f197(x12951),f197(x12952)) % 186.59/186.37 [1296]~E(x12961,x12962)+E(f418(x12961,x12963,x12964),f418(x12962,x12963,x12964)) % 186.59/186.37 [1297]~E(x12971,x12972)+E(f418(x12973,x12971,x12974),f418(x12973,x12972,x12974)) % 186.59/186.37 [1298]~E(x12981,x12982)+E(f418(x12983,x12984,x12981),f418(x12983,x12984,x12982)) % 186.59/186.37 [1299]~E(x12991,x12992)+E(f166(x12991,x12993,x12994),f166(x12992,x12993,x12994)) % 186.59/186.37 [1300]~E(x13001,x13002)+E(f166(x13003,x13001,x13004),f166(x13003,x13002,x13004)) % 186.59/186.37 [1301]~E(x13011,x13012)+E(f166(x13013,x13014,x13011),f166(x13013,x13014,x13012)) % 186.59/186.37 [1302]~E(x13021,x13022)+E(f428(x13021,x13023),f428(x13022,x13023)) % 186.59/186.37 [1303]~E(x13031,x13032)+E(f428(x13033,x13031),f428(x13033,x13032)) % 186.59/186.37 [1304]~E(x13041,x13042)+E(f578(x13041,x13043),f578(x13042,x13043)) % 186.59/186.37 [1305]~E(x13051,x13052)+E(f578(x13053,x13051),f578(x13053,x13052)) % 186.59/186.37 [1306]~E(x13061,x13062)+E(f387(x13061,x13063),f387(x13062,x13063)) % 186.59/186.37 [1307]~E(x13071,x13072)+E(f387(x13073,x13071),f387(x13073,x13072)) % 186.59/186.37 [1308]~E(x13081,x13082)+E(f109(x13081,x13083,x13084),f109(x13082,x13083,x13084)) % 186.59/186.37 [1309]~E(x13091,x13092)+E(f109(x13093,x13091,x13094),f109(x13093,x13092,x13094)) % 186.59/186.37 [1310]~E(x13101,x13102)+E(f109(x13103,x13104,x13101),f109(x13103,x13104,x13102)) % 186.59/186.37 [1311]~E(x13111,x13112)+E(f394(x13111,x13113,x13114),f394(x13112,x13113,x13114)) % 186.59/186.37 [1312]~E(x13121,x13122)+E(f394(x13123,x13121,x13124),f394(x13123,x13122,x13124)) % 186.59/186.37 [1313]~E(x13131,x13132)+E(f394(x13133,x13134,x13131),f394(x13133,x13134,x13132)) % 186.59/186.37 [1314]~E(x13141,x13142)+E(f886(x13141,x13143,x13144,x13145,x13146),f886(x13142,x13143,x13144,x13145,x13146)) % 186.59/186.37 [1315]~E(x13151,x13152)+E(f886(x13153,x13151,x13154,x13155,x13156),f886(x13153,x13152,x13154,x13155,x13156)) % 186.59/186.37 [1316]~E(x13161,x13162)+E(f886(x13163,x13164,x13161,x13165,x13166),f886(x13163,x13164,x13162,x13165,x13166)) % 186.59/186.37 [1317]~E(x13171,x13172)+E(f886(x13173,x13174,x13175,x13171,x13176),f886(x13173,x13174,x13175,x13172,x13176)) % 186.59/186.37 [1318]~E(x13181,x13182)+E(f886(x13183,x13184,x13185,x13186,x13181),f886(x13183,x13184,x13185,x13186,x13182)) % 186.59/186.37 [1319]~E(x13191,x13192)+E(f522(x13191),f522(x13192)) % 186.59/186.37 [1320]~E(x13201,x13202)+E(f488(x13201,x13203,x13204,x13205,x13206),f488(x13202,x13203,x13204,x13205,x13206)) % 186.59/186.37 [1321]~E(x13211,x13212)+E(f488(x13213,x13211,x13214,x13215,x13216),f488(x13213,x13212,x13214,x13215,x13216)) % 186.59/186.37 [1322]~E(x13221,x13222)+E(f488(x13223,x13224,x13221,x13225,x13226),f488(x13223,x13224,x13222,x13225,x13226)) % 186.59/186.37 [1323]~E(x13231,x13232)+E(f488(x13233,x13234,x13235,x13231,x13236),f488(x13233,x13234,x13235,x13232,x13236)) % 186.59/186.37 [1324]~E(x13241,x13242)+E(f488(x13243,x13244,x13245,x13246,x13241),f488(x13243,x13244,x13245,x13246,x13242)) % 186.59/186.37 [1325]~E(x13251,x13252)+E(f676(x13251,x13253,x13254,x13255),f676(x13252,x13253,x13254,x13255)) % 186.59/186.37 [1326]~E(x13261,x13262)+E(f676(x13263,x13261,x13264,x13265),f676(x13263,x13262,x13264,x13265)) % 186.59/186.37 [1327]~E(x13271,x13272)+E(f676(x13273,x13274,x13271,x13275),f676(x13273,x13274,x13272,x13275)) % 186.59/186.37 [1328]~E(x13281,x13282)+E(f676(x13283,x13284,x13285,x13281),f676(x13283,x13284,x13285,x13282)) % 186.59/186.37 [1329]~E(x13291,x13292)+E(f376(x13291,x13293,x13294,x13295),f376(x13292,x13293,x13294,x13295)) % 186.59/186.37 [1330]~E(x13301,x13302)+E(f376(x13303,x13301,x13304,x13305),f376(x13303,x13302,x13304,x13305)) % 186.59/186.37 [1331]~E(x13311,x13312)+E(f376(x13313,x13314,x13311,x13315),f376(x13313,x13314,x13312,x13315)) % 186.59/186.37 [1332]~E(x13321,x13322)+E(f376(x13323,x13324,x13325,x13321),f376(x13323,x13324,x13325,x13322)) % 186.59/186.37 [1333]~E(x13331,x13332)+E(f503(x13331,x13333,x13334),f503(x13332,x13333,x13334)) % 186.59/186.37 [1334]~E(x13341,x13342)+E(f503(x13343,x13341,x13344),f503(x13343,x13342,x13344)) % 186.59/186.37 [1335]~E(x13351,x13352)+E(f503(x13353,x13354,x13351),f503(x13353,x13354,x13352)) % 186.59/186.37 [1336]~E(x13361,x13362)+E(f807(x13361,x13363),f807(x13362,x13363)) % 186.59/186.37 [1337]~E(x13371,x13372)+E(f807(x13373,x13371),f807(x13373,x13372)) % 186.59/186.37 [1338]~E(x13381,x13382)+E(f477(x13381,x13383,x13384,x13385),f477(x13382,x13383,x13384,x13385)) % 186.59/186.37 [1339]~E(x13391,x13392)+E(f477(x13393,x13391,x13394,x13395),f477(x13393,x13392,x13394,x13395)) % 186.59/186.37 [1340]~E(x13401,x13402)+E(f477(x13403,x13404,x13401,x13405),f477(x13403,x13404,x13402,x13405)) % 186.59/186.37 [1341]~E(x13411,x13412)+E(f477(x13413,x13414,x13415,x13411),f477(x13413,x13414,x13415,x13412)) % 186.59/186.37 [1342]~E(x13421,x13422)+E(f811(x13421),f811(x13422)) % 186.59/186.37 [1343]~E(x13431,x13432)+E(f483(x13431,x13433,x13434,x13435,x13436),f483(x13432,x13433,x13434,x13435,x13436)) % 186.59/186.37 [1344]~E(x13441,x13442)+E(f483(x13443,x13441,x13444,x13445,x13446),f483(x13443,x13442,x13444,x13445,x13446)) % 186.59/186.37 [1345]~E(x13451,x13452)+E(f483(x13453,x13454,x13451,x13455,x13456),f483(x13453,x13454,x13452,x13455,x13456)) % 186.59/186.37 [1346]~E(x13461,x13462)+E(f483(x13463,x13464,x13465,x13461,x13466),f483(x13463,x13464,x13465,x13462,x13466)) % 186.59/186.37 [1347]~E(x13471,x13472)+E(f483(x13473,x13474,x13475,x13476,x13471),f483(x13473,x13474,x13475,x13476,x13472)) % 186.59/186.37 [1348]~E(x13481,x13482)+E(f655(x13481,x13483,x13484,x13485),f655(x13482,x13483,x13484,x13485)) % 186.59/186.37 [1349]~E(x13491,x13492)+E(f655(x13493,x13491,x13494,x13495),f655(x13493,x13492,x13494,x13495)) % 186.59/186.37 [1350]~E(x13501,x13502)+E(f655(x13503,x13504,x13501,x13505),f655(x13503,x13504,x13502,x13505)) % 186.59/186.37 [1351]~E(x13511,x13512)+E(f655(x13513,x13514,x13515,x13511),f655(x13513,x13514,x13515,x13512)) % 186.59/186.37 [1352]~E(x13521,x13522)+E(f829(x13521,x13523,x13524,x13525),f829(x13522,x13523,x13524,x13525)) % 186.59/186.37 [1353]~E(x13531,x13532)+E(f829(x13533,x13531,x13534,x13535),f829(x13533,x13532,x13534,x13535)) % 186.59/186.37 [1354]~E(x13541,x13542)+E(f829(x13543,x13544,x13541,x13545),f829(x13543,x13544,x13542,x13545)) % 186.59/186.37 [1355]~E(x13551,x13552)+E(f829(x13553,x13554,x13555,x13551),f829(x13553,x13554,x13555,x13552)) % 186.59/186.37 [1356]~E(x13561,x13562)+E(f447(x13561,x13563,x13564),f447(x13562,x13563,x13564)) % 186.59/186.37 [1357]~E(x13571,x13572)+E(f447(x13573,x13571,x13574),f447(x13573,x13572,x13574)) % 186.59/186.37 [1358]~E(x13581,x13582)+E(f447(x13583,x13584,x13581),f447(x13583,x13584,x13582)) % 186.59/186.37 [1359]~E(x13591,x13592)+E(f369(x13591,x13593,x13594),f369(x13592,x13593,x13594)) % 186.59/186.37 [1360]~E(x13601,x13602)+E(f369(x13603,x13601,x13604),f369(x13603,x13602,x13604)) % 186.59/186.37 [1361]~E(x13611,x13612)+E(f369(x13613,x13614,x13611),f369(x13613,x13614,x13612)) % 186.59/186.37 [1362]~E(x13621,x13622)+E(f398(x13621,x13623,x13624,x13625),f398(x13622,x13623,x13624,x13625)) % 186.59/186.37 [1363]~E(x13631,x13632)+E(f398(x13633,x13631,x13634,x13635),f398(x13633,x13632,x13634,x13635)) % 186.59/186.37 [1364]~E(x13641,x13642)+E(f398(x13643,x13644,x13641,x13645),f398(x13643,x13644,x13642,x13645)) % 186.59/186.37 [1365]~E(x13651,x13652)+E(f398(x13653,x13654,x13655,x13651),f398(x13653,x13654,x13655,x13652)) % 186.59/186.37 [1366]~E(x13661,x13662)+E(f693(x13661,x13663,x13664,x13665),f693(x13662,x13663,x13664,x13665)) % 186.59/186.37 [1367]~E(x13671,x13672)+E(f693(x13673,x13671,x13674,x13675),f693(x13673,x13672,x13674,x13675)) % 186.59/186.37 [1368]~E(x13681,x13682)+E(f693(x13683,x13684,x13681,x13685),f693(x13683,x13684,x13682,x13685)) % 186.59/186.37 [1369]~E(x13691,x13692)+E(f693(x13693,x13694,x13695,x13691),f693(x13693,x13694,x13695,x13692)) % 186.59/186.37 [1370]~E(x13701,x13702)+E(f575(x13701,x13703,x13704,x13705,x13706,x13707),f575(x13702,x13703,x13704,x13705,x13706,x13707)) % 186.59/186.37 [1371]~E(x13711,x13712)+E(f575(x13713,x13711,x13714,x13715,x13716,x13717),f575(x13713,x13712,x13714,x13715,x13716,x13717)) % 186.59/186.37 [1372]~E(x13721,x13722)+E(f575(x13723,x13724,x13721,x13725,x13726,x13727),f575(x13723,x13724,x13722,x13725,x13726,x13727)) % 186.59/186.37 [1373]~E(x13731,x13732)+E(f575(x13733,x13734,x13735,x13731,x13736,x13737),f575(x13733,x13734,x13735,x13732,x13736,x13737)) % 186.59/186.37 [1374]~E(x13741,x13742)+E(f575(x13743,x13744,x13745,x13746,x13741,x13747),f575(x13743,x13744,x13745,x13746,x13742,x13747)) % 186.59/186.37 [1375]~E(x13751,x13752)+E(f575(x13753,x13754,x13755,x13756,x13757,x13751),f575(x13753,x13754,x13755,x13756,x13757,x13752)) % 186.59/186.37 [1376]~E(x13761,x13762)+E(f221(x13761,x13763,x13764),f221(x13762,x13763,x13764)) % 186.59/186.37 [1377]~E(x13771,x13772)+E(f221(x13773,x13771,x13774),f221(x13773,x13772,x13774)) % 186.59/186.37 [1378]~E(x13781,x13782)+E(f221(x13783,x13784,x13781),f221(x13783,x13784,x13782)) % 186.59/186.37 [1379]~E(x13791,x13792)+E(f772(x13791,x13793,x13794),f772(x13792,x13793,x13794)) % 186.59/186.37 [1380]~E(x13801,x13802)+E(f772(x13803,x13801,x13804),f772(x13803,x13802,x13804)) % 186.59/186.37 [1381]~E(x13811,x13812)+E(f772(x13813,x13814,x13811),f772(x13813,x13814,x13812)) % 186.59/186.37 [1382]~E(x13821,x13822)+E(f580(x13821,x13823,x13824),f580(x13822,x13823,x13824)) % 186.59/186.37 [1383]~E(x13831,x13832)+E(f580(x13833,x13831,x13834),f580(x13833,x13832,x13834)) % 186.59/186.37 [1384]~E(x13841,x13842)+E(f580(x13843,x13844,x13841),f580(x13843,x13844,x13842)) % 186.59/186.37 [1385]~E(x13851,x13852)+E(f641(x13851,x13853,x13854,x13855,x13856),f641(x13852,x13853,x13854,x13855,x13856)) % 186.59/186.37 [1386]~E(x13861,x13862)+E(f641(x13863,x13861,x13864,x13865,x13866),f641(x13863,x13862,x13864,x13865,x13866)) % 186.59/186.37 [1387]~E(x13871,x13872)+E(f641(x13873,x13874,x13871,x13875,x13876),f641(x13873,x13874,x13872,x13875,x13876)) % 186.59/186.37 [1388]~E(x13881,x13882)+E(f641(x13883,x13884,x13885,x13881,x13886),f641(x13883,x13884,x13885,x13882,x13886)) % 186.59/186.37 [1389]~E(x13891,x13892)+E(f641(x13893,x13894,x13895,x13896,x13891),f641(x13893,x13894,x13895,x13896,x13892)) % 186.59/186.37 [1390]~E(x13901,x13902)+E(f607(x13901,x13903,x13904),f607(x13902,x13903,x13904)) % 186.59/186.37 [1391]~E(x13911,x13912)+E(f607(x13913,x13911,x13914),f607(x13913,x13912,x13914)) % 186.59/186.37 [1392]~E(x13921,x13922)+E(f607(x13923,x13924,x13921),f607(x13923,x13924,x13922)) % 186.59/186.37 [1393]~E(x13931,x13932)+E(f471(x13931,x13933),f471(x13932,x13933)) % 186.59/186.37 [1394]~E(x13941,x13942)+E(f471(x13943,x13941),f471(x13943,x13942)) % 186.59/186.37 [1395]~E(x13951,x13952)+E(f729(x13951,x13953,x13954,x13955),f729(x13952,x13953,x13954,x13955)) % 186.59/186.37 [1396]~E(x13961,x13962)+E(f729(x13963,x13961,x13964,x13965),f729(x13963,x13962,x13964,x13965)) % 186.59/186.37 [1397]~E(x13971,x13972)+E(f729(x13973,x13974,x13971,x13975),f729(x13973,x13974,x13972,x13975)) % 186.59/186.37 [1398]~E(x13981,x13982)+E(f729(x13983,x13984,x13985,x13981),f729(x13983,x13984,x13985,x13982)) % 186.59/186.37 [1399]~E(x13991,x13992)+E(f673(x13991,x13993),f673(x13992,x13993)) % 186.59/186.37 [1400]~E(x14001,x14002)+E(f673(x14003,x14001),f673(x14003,x14002)) % 186.59/186.37 [1401]~E(x14011,x14012)+E(f645(x14011,x14013,x14014,x14015),f645(x14012,x14013,x14014,x14015)) % 186.59/186.37 [1402]~E(x14021,x14022)+E(f645(x14023,x14021,x14024,x14025),f645(x14023,x14022,x14024,x14025)) % 186.59/186.37 [1403]~E(x14031,x14032)+E(f645(x14033,x14034,x14031,x14035),f645(x14033,x14034,x14032,x14035)) % 186.59/186.37 [1404]~E(x14041,x14042)+E(f645(x14043,x14044,x14045,x14041),f645(x14043,x14044,x14045,x14042)) % 186.59/186.37 [1405]~E(x14051,x14052)+E(f291(x14051,x14053,x14054,x14055,x14056),f291(x14052,x14053,x14054,x14055,x14056)) % 186.59/186.37 [1406]~E(x14061,x14062)+E(f291(x14063,x14061,x14064,x14065,x14066),f291(x14063,x14062,x14064,x14065,x14066)) % 186.59/186.37 [1407]~E(x14071,x14072)+E(f291(x14073,x14074,x14071,x14075,x14076),f291(x14073,x14074,x14072,x14075,x14076)) % 186.59/186.37 [1408]~E(x14081,x14082)+E(f291(x14083,x14084,x14085,x14081,x14086),f291(x14083,x14084,x14085,x14082,x14086)) % 186.59/186.37 [1409]~E(x14091,x14092)+E(f291(x14093,x14094,x14095,x14096,x14091),f291(x14093,x14094,x14095,x14096,x14092)) % 186.59/186.37 [1410]~E(x14101,x14102)+E(f766(x14101,x14103,x14104),f766(x14102,x14103,x14104)) % 186.59/186.37 [1411]~E(x14111,x14112)+E(f766(x14113,x14111,x14114),f766(x14113,x14112,x14114)) % 186.59/186.37 [1412]~E(x14121,x14122)+E(f766(x14123,x14124,x14121),f766(x14123,x14124,x14122)) % 186.59/186.37 [1413]~E(x14131,x14132)+E(f583(x14131,x14133,x14134,x14135,x14136,x14137,x14138,x14139),f583(x14132,x14133,x14134,x14135,x14136,x14137,x14138,x14139)) % 186.59/186.37 [1414]~E(x14141,x14142)+E(f583(x14143,x14141,x14144,x14145,x14146,x14147,x14148,x14149),f583(x14143,x14142,x14144,x14145,x14146,x14147,x14148,x14149)) % 186.59/186.37 [1415]~E(x14151,x14152)+E(f583(x14153,x14154,x14151,x14155,x14156,x14157,x14158,x14159),f583(x14153,x14154,x14152,x14155,x14156,x14157,x14158,x14159)) % 186.59/186.37 [1416]~E(x14161,x14162)+E(f583(x14163,x14164,x14165,x14161,x14166,x14167,x14168,x14169),f583(x14163,x14164,x14165,x14162,x14166,x14167,x14168,x14169)) % 186.59/186.37 [1417]~E(x14171,x14172)+E(f583(x14173,x14174,x14175,x14176,x14171,x14177,x14178,x14179),f583(x14173,x14174,x14175,x14176,x14172,x14177,x14178,x14179)) % 186.59/186.37 [1418]~E(x14181,x14182)+E(f583(x14183,x14184,x14185,x14186,x14187,x14181,x14188,x14189),f583(x14183,x14184,x14185,x14186,x14187,x14182,x14188,x14189)) % 186.59/186.37 [1419]~E(x14191,x14192)+E(f583(x14193,x14194,x14195,x14196,x14197,x14198,x14191,x14199),f583(x14193,x14194,x14195,x14196,x14197,x14198,x14192,x14199)) % 186.59/186.37 [1420]~E(x14201,x14202)+E(f583(x14203,x14204,x14205,x14206,x14207,x14208,x14209,x14201),f583(x14203,x14204,x14205,x14206,x14207,x14208,x14209,x14202)) % 186.59/186.37 [1421]~E(x14211,x14212)+E(f624(x14211,x14213,x14214,x14215,x14216),f624(x14212,x14213,x14214,x14215,x14216)) % 186.59/186.37 [1422]~E(x14221,x14222)+E(f624(x14223,x14221,x14224,x14225,x14226),f624(x14223,x14222,x14224,x14225,x14226)) % 186.59/186.37 [1423]~E(x14231,x14232)+E(f624(x14233,x14234,x14231,x14235,x14236),f624(x14233,x14234,x14232,x14235,x14236)) % 186.59/186.37 [1424]~E(x14241,x14242)+E(f624(x14243,x14244,x14245,x14241,x14246),f624(x14243,x14244,x14245,x14242,x14246)) % 186.59/186.37 [1425]~E(x14251,x14252)+E(f624(x14253,x14254,x14255,x14256,x14251),f624(x14253,x14254,x14255,x14256,x14252)) % 186.59/186.37 [1426]~E(x14261,x14262)+E(f133(x14261,x14263,x14264),f133(x14262,x14263,x14264)) % 186.59/186.37 [1427]~E(x14271,x14272)+E(f133(x14273,x14271,x14274),f133(x14273,x14272,x14274)) % 186.59/186.37 [1428]~E(x14281,x14282)+E(f133(x14283,x14284,x14281),f133(x14283,x14284,x14282)) % 186.59/186.37 [1429]~E(x14291,x14292)+E(f759(x14291,x14293,x14294,x14295),f759(x14292,x14293,x14294,x14295)) % 186.59/186.37 [1430]~E(x14301,x14302)+E(f759(x14303,x14301,x14304,x14305),f759(x14303,x14302,x14304,x14305)) % 186.59/186.37 [1431]~E(x14311,x14312)+E(f759(x14313,x14314,x14311,x14315),f759(x14313,x14314,x14312,x14315)) % 186.59/186.37 [1432]~E(x14321,x14322)+E(f759(x14323,x14324,x14325,x14321),f759(x14323,x14324,x14325,x14322)) % 186.59/186.37 [1433]~E(x14331,x14332)+E(f887(x14331,x14333,x14334,x14335,x14336),f887(x14332,x14333,x14334,x14335,x14336)) % 186.59/186.37 [1434]~E(x14341,x14342)+E(f887(x14343,x14341,x14344,x14345,x14346),f887(x14343,x14342,x14344,x14345,x14346)) % 186.59/186.37 [1435]~E(x14351,x14352)+E(f887(x14353,x14354,x14351,x14355,x14356),f887(x14353,x14354,x14352,x14355,x14356)) % 186.59/186.37 [1436]~E(x14361,x14362)+E(f887(x14363,x14364,x14365,x14361,x14366),f887(x14363,x14364,x14365,x14362,x14366)) % 186.59/186.37 [1437]~E(x14371,x14372)+E(f887(x14373,x14374,x14375,x14376,x14371),f887(x14373,x14374,x14375,x14376,x14372)) % 186.59/186.37 [1438]~E(x14381,x14382)+E(f436(x14381,x14383,x14384),f436(x14382,x14383,x14384)) % 186.59/186.37 [1439]~E(x14391,x14392)+E(f436(x14393,x14391,x14394),f436(x14393,x14392,x14394)) % 186.59/186.37 [1440]~E(x14401,x14402)+E(f436(x14403,x14404,x14401),f436(x14403,x14404,x14402)) % 186.59/186.37 [1441]~E(x14411,x14412)+E(f590(x14411,x14413,x14414),f590(x14412,x14413,x14414)) % 186.59/186.37 [1442]~E(x14421,x14422)+E(f590(x14423,x14421,x14424),f590(x14423,x14422,x14424)) % 186.59/186.37 [1443]~E(x14431,x14432)+E(f590(x14433,x14434,x14431),f590(x14433,x14434,x14432)) % 186.59/186.37 [1444]~E(x14441,x14442)+E(f528(x14441,x14443),f528(x14442,x14443)) % 186.59/186.37 [1445]~E(x14451,x14452)+E(f528(x14453,x14451),f528(x14453,x14452)) % 186.59/186.37 [1446]~E(x14461,x14462)+E(f841(x14461,x14463,x14464),f841(x14462,x14463,x14464)) % 186.59/186.37 [1447]~E(x14471,x14472)+E(f841(x14473,x14471,x14474),f841(x14473,x14472,x14474)) % 186.59/186.37 [1448]~E(x14481,x14482)+E(f841(x14483,x14484,x14481),f841(x14483,x14484,x14482)) % 186.59/186.37 [1449]~E(x14491,x14492)+E(f858(x14491,x14493,x14494),f858(x14492,x14493,x14494)) % 186.59/186.37 [1450]~E(x14501,x14502)+E(f858(x14503,x14501,x14504),f858(x14503,x14502,x14504)) % 186.59/186.37 [1451]~E(x14511,x14512)+E(f858(x14513,x14514,x14511),f858(x14513,x14514,x14512)) % 186.59/186.37 [1452]~E(x14521,x14522)+E(f155(x14521,x14523),f155(x14522,x14523)) % 186.59/186.37 [1453]~E(x14531,x14532)+E(f155(x14533,x14531),f155(x14533,x14532)) % 186.59/186.37 [1454]~E(x14541,x14542)+E(f703(x14541,x14543),f703(x14542,x14543)) % 186.59/186.37 [1455]~E(x14551,x14552)+E(f703(x14553,x14551),f703(x14553,x14552)) % 186.59/186.37 [1456]~E(x14561,x14562)+E(f548(x14561,x14563),f548(x14562,x14563)) % 186.59/186.37 [1457]~E(x14571,x14572)+E(f548(x14573,x14571),f548(x14573,x14572)) % 186.59/186.37 [1458]~E(x14581,x14582)+E(f708(x14581,x14583,x14584,x14585,x14586),f708(x14582,x14583,x14584,x14585,x14586)) % 186.59/186.37 [1459]~E(x14591,x14592)+E(f708(x14593,x14591,x14594,x14595,x14596),f708(x14593,x14592,x14594,x14595,x14596)) % 186.59/186.37 [1460]~E(x14601,x14602)+E(f708(x14603,x14604,x14601,x14605,x14606),f708(x14603,x14604,x14602,x14605,x14606)) % 186.59/186.37 [1461]~E(x14611,x14612)+E(f708(x14613,x14614,x14615,x14611,x14616),f708(x14613,x14614,x14615,x14612,x14616)) % 186.59/186.37 [1462]~E(x14621,x14622)+E(f708(x14623,x14624,x14625,x14626,x14621),f708(x14623,x14624,x14625,x14626,x14622)) % 186.59/186.37 [1463]~E(x14631,x14632)+E(f382(x14631,x14633,x14634,x14635),f382(x14632,x14633,x14634,x14635)) % 186.59/186.37 [1464]~E(x14641,x14642)+E(f382(x14643,x14641,x14644,x14645),f382(x14643,x14642,x14644,x14645)) % 186.59/186.37 [1465]~E(x14651,x14652)+E(f382(x14653,x14654,x14651,x14655),f382(x14653,x14654,x14652,x14655)) % 186.59/186.37 [1466]~E(x14661,x14662)+E(f382(x14663,x14664,x14665,x14661),f382(x14663,x14664,x14665,x14662)) % 186.59/186.37 [1467]~E(x14671,x14672)+E(f780(x14671,x14673,x14674),f780(x14672,x14673,x14674)) % 186.59/186.37 [1468]~E(x14681,x14682)+E(f780(x14683,x14681,x14684),f780(x14683,x14682,x14684)) % 186.59/186.37 [1469]~E(x14691,x14692)+E(f780(x14693,x14694,x14691),f780(x14693,x14694,x14692)) % 186.59/186.37 [1470]~E(x14701,x14702)+E(f373(x14701,x14703,x14704,x14705),f373(x14702,x14703,x14704,x14705)) % 186.59/186.37 [1471]~E(x14711,x14712)+E(f373(x14713,x14711,x14714,x14715),f373(x14713,x14712,x14714,x14715)) % 186.59/186.37 [1472]~E(x14721,x14722)+E(f373(x14723,x14724,x14721,x14725),f373(x14723,x14724,x14722,x14725)) % 186.59/186.37 [1473]~E(x14731,x14732)+E(f373(x14733,x14734,x14735,x14731),f373(x14733,x14734,x14735,x14732)) % 186.59/186.37 [1474]~E(x14741,x14742)+E(f866(x14741),f866(x14742)) % 186.59/186.37 [1475]~E(x14751,x14752)+E(f637(x14751,x14753,x14754,x14755),f637(x14752,x14753,x14754,x14755)) % 186.59/186.37 [1476]~E(x14761,x14762)+E(f637(x14763,x14761,x14764,x14765),f637(x14763,x14762,x14764,x14765)) % 186.59/186.37 [1477]~E(x14771,x14772)+E(f637(x14773,x14774,x14771,x14775),f637(x14773,x14774,x14772,x14775)) % 186.59/186.37 [1478]~E(x14781,x14782)+E(f637(x14783,x14784,x14785,x14781),f637(x14783,x14784,x14785,x14782)) % 186.59/186.37 [1479]~E(x14791,x14792)+E(f345(x14791,x14793),f345(x14792,x14793)) % 186.59/186.37 [1480]~E(x14801,x14802)+E(f345(x14803,x14801),f345(x14803,x14802)) % 186.59/186.37 [1481]~E(x14811,x14812)+E(f718(x14811,x14813,x14814),f718(x14812,x14813,x14814)) % 186.59/186.37 [1482]~E(x14821,x14822)+E(f718(x14823,x14821,x14824),f718(x14823,x14822,x14824)) % 186.59/186.37 [1483]~E(x14831,x14832)+E(f718(x14833,x14834,x14831),f718(x14833,x14834,x14832)) % 186.59/186.37 [1484]~E(x14841,x14842)+E(f39(x14841,x14843),f39(x14842,x14843)) % 186.59/186.37 [1485]~E(x14851,x14852)+E(f39(x14853,x14851),f39(x14853,x14852)) % 186.59/186.37 [1486]~E(x14861,x14862)+E(f441(x14861,x14863,x14864),f441(x14862,x14863,x14864)) % 186.59/186.37 [1487]~E(x14871,x14872)+E(f441(x14873,x14871,x14874),f441(x14873,x14872,x14874)) % 186.59/186.37 [1488]~E(x14881,x14882)+E(f441(x14883,x14884,x14881),f441(x14883,x14884,x14882)) % 186.59/186.37 [1489]~E(x14891,x14892)+E(f516(x14891,x14893,x14894,x14895,x14896),f516(x14892,x14893,x14894,x14895,x14896)) % 186.59/186.37 [1490]~E(x14901,x14902)+E(f516(x14903,x14901,x14904,x14905,x14906),f516(x14903,x14902,x14904,x14905,x14906)) % 186.59/186.37 [1491]~E(x14911,x14912)+E(f516(x14913,x14914,x14911,x14915,x14916),f516(x14913,x14914,x14912,x14915,x14916)) % 186.59/186.37 [1492]~E(x14921,x14922)+E(f516(x14923,x14924,x14925,x14921,x14926),f516(x14923,x14924,x14925,x14922,x14926)) % 186.59/186.37 [1493]~E(x14931,x14932)+E(f516(x14933,x14934,x14935,x14936,x14931),f516(x14933,x14934,x14935,x14936,x14932)) % 186.59/186.37 [1494]~E(x14941,x14942)+E(f572(x14941,x14943,x14944,x14945),f572(x14942,x14943,x14944,x14945)) % 186.59/186.37 [1495]~E(x14951,x14952)+E(f572(x14953,x14951,x14954,x14955),f572(x14953,x14952,x14954,x14955)) % 186.59/186.37 [1496]~E(x14961,x14962)+E(f572(x14963,x14964,x14961,x14965),f572(x14963,x14964,x14962,x14965)) % 186.59/186.37 [1497]~E(x14971,x14972)+E(f572(x14973,x14974,x14975,x14971),f572(x14973,x14974,x14975,x14972)) % 186.59/186.37 [1498]~E(x14981,x14982)+E(f912(x14981,x14983),f912(x14982,x14983)) % 186.59/186.37 [1499]~E(x14991,x14992)+E(f912(x14993,x14991),f912(x14993,x14992)) % 186.59/186.37 [1500]~E(x15001,x15002)+E(f237(x15001,x15003,x15004),f237(x15002,x15003,x15004)) % 186.59/186.37 [1501]~E(x15011,x15012)+E(f237(x15013,x15011,x15014),f237(x15013,x15012,x15014)) % 186.59/186.37 [1502]~E(x15021,x15022)+E(f237(x15023,x15024,x15021),f237(x15023,x15024,x15022)) % 186.59/186.37 [1503]~E(x15031,x15032)+E(f230(x15031,x15033),f230(x15032,x15033)) % 186.59/186.37 [1504]~E(x15041,x15042)+E(f230(x15043,x15041),f230(x15043,x15042)) % 186.59/186.37 [1505]~E(x15051,x15052)+E(f888(x15051,x15053,x15054,x15055,x15056),f888(x15052,x15053,x15054,x15055,x15056)) % 186.59/186.37 [1506]~E(x15061,x15062)+E(f888(x15063,x15061,x15064,x15065,x15066),f888(x15063,x15062,x15064,x15065,x15066)) % 186.59/186.37 [1507]~E(x15071,x15072)+E(f888(x15073,x15074,x15071,x15075,x15076),f888(x15073,x15074,x15072,x15075,x15076)) % 186.59/186.37 [1508]~E(x15081,x15082)+E(f888(x15083,x15084,x15085,x15081,x15086),f888(x15083,x15084,x15085,x15082,x15086)) % 186.59/186.37 [1509]~E(x15091,x15092)+E(f888(x15093,x15094,x15095,x15096,x15091),f888(x15093,x15094,x15095,x15096,x15092)) % 186.59/186.37 [1510]~E(x15101,x15102)+E(f664(x15101,x15103,x15104),f664(x15102,x15103,x15104)) % 186.59/186.37 [1511]~E(x15111,x15112)+E(f664(x15113,x15111,x15114),f664(x15113,x15112,x15114)) % 186.59/186.37 [1512]~E(x15121,x15122)+E(f664(x15123,x15124,x15121),f664(x15123,x15124,x15122)) % 186.59/186.37 [1513]~E(x15131,x15132)+E(f715(x15131,x15133),f715(x15132,x15133)) % 186.59/186.37 [1514]~E(x15141,x15142)+E(f715(x15143,x15141),f715(x15143,x15142)) % 186.59/186.37 [1515]~E(x15151,x15152)+E(f564(x15151,x15153,x15154,x15155),f564(x15152,x15153,x15154,x15155)) % 186.59/186.37 [1516]~E(x15161,x15162)+E(f564(x15163,x15161,x15164,x15165),f564(x15163,x15162,x15164,x15165)) % 186.59/186.37 [1517]~E(x15171,x15172)+E(f564(x15173,x15174,x15171,x15175),f564(x15173,x15174,x15172,x15175)) % 186.59/186.37 [1518]~E(x15181,x15182)+E(f564(x15183,x15184,x15185,x15181),f564(x15183,x15184,x15185,x15182)) % 186.59/186.37 [1519]~E(x15191,x15192)+E(f785(x15191,x15193,x15194,x15195),f785(x15192,x15193,x15194,x15195)) % 186.59/186.37 [1520]~E(x15201,x15202)+E(f785(x15203,x15201,x15204,x15205),f785(x15203,x15202,x15204,x15205)) % 186.59/186.37 [1521]~E(x15211,x15212)+E(f785(x15213,x15214,x15211,x15215),f785(x15213,x15214,x15212,x15215)) % 186.59/186.37 [1522]~E(x15221,x15222)+E(f785(x15223,x15224,x15225,x15221),f785(x15223,x15224,x15225,x15222)) % 186.59/186.37 [1523]~E(x15231,x15232)+E(f694(x15231,x15233,x15234,x15235,x15236),f694(x15232,x15233,x15234,x15235,x15236)) % 186.59/186.37 [1524]~E(x15241,x15242)+E(f694(x15243,x15241,x15244,x15245,x15246),f694(x15243,x15242,x15244,x15245,x15246)) % 186.59/186.37 [1525]~E(x15251,x15252)+E(f694(x15253,x15254,x15251,x15255,x15256),f694(x15253,x15254,x15252,x15255,x15256)) % 186.59/186.37 [1526]~E(x15261,x15262)+E(f694(x15263,x15264,x15265,x15261,x15266),f694(x15263,x15264,x15265,x15262,x15266)) % 186.59/186.37 [1527]~E(x15271,x15272)+E(f694(x15273,x15274,x15275,x15276,x15271),f694(x15273,x15274,x15275,x15276,x15272)) % 186.59/186.37 [1528]~E(x15281,x15282)+E(f229(x15281,x15283),f229(x15282,x15283)) % 186.59/186.37 [1529]~E(x15291,x15292)+E(f229(x15293,x15291),f229(x15293,x15292)) % 186.59/186.37 [1530]~E(x15301,x15302)+E(f742(x15301,x15303,x15304,x15305,x15306),f742(x15302,x15303,x15304,x15305,x15306)) % 186.59/186.37 [1531]~E(x15311,x15312)+E(f742(x15313,x15311,x15314,x15315,x15316),f742(x15313,x15312,x15314,x15315,x15316)) % 186.59/186.37 [1532]~E(x15321,x15322)+E(f742(x15323,x15324,x15321,x15325,x15326),f742(x15323,x15324,x15322,x15325,x15326)) % 186.59/186.37 [1533]~E(x15331,x15332)+E(f742(x15333,x15334,x15335,x15331,x15336),f742(x15333,x15334,x15335,x15332,x15336)) % 186.59/186.37 [1534]~E(x15341,x15342)+E(f742(x15343,x15344,x15345,x15346,x15341),f742(x15343,x15344,x15345,x15346,x15342)) % 186.59/186.37 [1535]~E(x15351,x15352)+E(f825(x15351,x15353,x15354),f825(x15352,x15353,x15354)) % 186.59/186.37 [1536]~E(x15361,x15362)+E(f825(x15363,x15361,x15364),f825(x15363,x15362,x15364)) % 186.59/186.37 [1537]~E(x15371,x15372)+E(f825(x15373,x15374,x15371),f825(x15373,x15374,x15372)) % 186.59/186.37 [1538]~E(x15381,x15382)+E(f354(x15381,x15383,x15384,x15385,x15386),f354(x15382,x15383,x15384,x15385,x15386)) % 186.59/186.37 [1539]~E(x15391,x15392)+E(f354(x15393,x15391,x15394,x15395,x15396),f354(x15393,x15392,x15394,x15395,x15396)) % 186.59/186.37 [1540]~E(x15401,x15402)+E(f354(x15403,x15404,x15401,x15405,x15406),f354(x15403,x15404,x15402,x15405,x15406)) % 186.59/186.37 [1541]~E(x15411,x15412)+E(f354(x15413,x15414,x15415,x15411,x15416),f354(x15413,x15414,x15415,x15412,x15416)) % 186.59/186.37 [1542]~E(x15421,x15422)+E(f354(x15423,x15424,x15425,x15426,x15421),f354(x15423,x15424,x15425,x15426,x15422)) % 186.59/186.37 [1543]~E(x15431,x15432)+E(f173(x15431),f173(x15432)) % 186.59/186.37 [1544]~E(x15441,x15442)+E(f846(x15441,x15443,x15444,x15445,x15446),f846(x15442,x15443,x15444,x15445,x15446)) % 186.59/186.37 [1545]~E(x15451,x15452)+E(f846(x15453,x15451,x15454,x15455,x15456),f846(x15453,x15452,x15454,x15455,x15456)) % 186.59/186.37 [1546]~E(x15461,x15462)+E(f846(x15463,x15464,x15461,x15465,x15466),f846(x15463,x15464,x15462,x15465,x15466)) % 186.59/186.37 [1547]~E(x15471,x15472)+E(f846(x15473,x15474,x15475,x15471,x15476),f846(x15473,x15474,x15475,x15472,x15476)) % 186.59/186.37 [1548]~E(x15481,x15482)+E(f846(x15483,x15484,x15485,x15486,x15481),f846(x15483,x15484,x15485,x15486,x15482)) % 186.59/186.37 [1549]~E(x15491,x15492)+E(f60(x15491,x15493,x15494),f60(x15492,x15493,x15494)) % 186.59/186.37 [1550]~E(x15501,x15502)+E(f60(x15503,x15501,x15504),f60(x15503,x15502,x15504)) % 186.59/186.37 [1551]~E(x15511,x15512)+E(f60(x15513,x15514,x15511),f60(x15513,x15514,x15512)) % 186.59/186.37 [1552]~E(x15521,x15522)+E(f880(x15521,x15523,x15524,x15525,x15526,x15527,x15528),f880(x15522,x15523,x15524,x15525,x15526,x15527,x15528)) % 186.59/186.37 [1553]~E(x15531,x15532)+E(f880(x15533,x15531,x15534,x15535,x15536,x15537,x15538),f880(x15533,x15532,x15534,x15535,x15536,x15537,x15538)) % 186.59/186.37 [1554]~E(x15541,x15542)+E(f880(x15543,x15544,x15541,x15545,x15546,x15547,x15548),f880(x15543,x15544,x15542,x15545,x15546,x15547,x15548)) % 186.59/186.37 [1555]~E(x15551,x15552)+E(f880(x15553,x15554,x15555,x15551,x15556,x15557,x15558),f880(x15553,x15554,x15555,x15552,x15556,x15557,x15558)) % 186.59/186.37 [1556]~E(x15561,x15562)+E(f880(x15563,x15564,x15565,x15566,x15561,x15567,x15568),f880(x15563,x15564,x15565,x15566,x15562,x15567,x15568)) % 186.59/186.37 [1557]~E(x15571,x15572)+E(f880(x15573,x15574,x15575,x15576,x15577,x15571,x15578),f880(x15573,x15574,x15575,x15576,x15577,x15572,x15578)) % 186.59/186.37 [1558]~E(x15581,x15582)+E(f880(x15583,x15584,x15585,x15586,x15587,x15588,x15581),f880(x15583,x15584,x15585,x15586,x15587,x15588,x15582)) % 186.59/186.37 [1559]~E(x15591,x15592)+E(f547(x15591,x15593,x15594),f547(x15592,x15593,x15594)) % 186.59/186.37 [1560]~E(x15601,x15602)+E(f547(x15603,x15601,x15604),f547(x15603,x15602,x15604)) % 186.59/186.37 [1561]~E(x15611,x15612)+E(f547(x15613,x15614,x15611),f547(x15613,x15614,x15612)) % 186.59/186.37 [1562]~E(x15621,x15622)+E(f700(x15621,x15623,x15624,x15625,x15626),f700(x15622,x15623,x15624,x15625,x15626)) % 186.59/186.37 [1563]~E(x15631,x15632)+E(f700(x15633,x15631,x15634,x15635,x15636),f700(x15633,x15632,x15634,x15635,x15636)) % 186.59/186.37 [1564]~E(x15641,x15642)+E(f700(x15643,x15644,x15641,x15645,x15646),f700(x15643,x15644,x15642,x15645,x15646)) % 186.59/186.37 [1565]~E(x15651,x15652)+E(f700(x15653,x15654,x15655,x15651,x15656),f700(x15653,x15654,x15655,x15652,x15656)) % 186.59/186.37 [1566]~E(x15661,x15662)+E(f700(x15663,x15664,x15665,x15666,x15661),f700(x15663,x15664,x15665,x15666,x15662)) % 186.59/186.37 [1567]~E(x15671,x15672)+E(f386(x15671,x15673,x15674),f386(x15672,x15673,x15674)) % 186.59/186.37 [1568]~E(x15681,x15682)+E(f386(x15683,x15681,x15684),f386(x15683,x15682,x15684)) % 186.59/186.37 [1569]~E(x15691,x15692)+E(f386(x15693,x15694,x15691),f386(x15693,x15694,x15692)) % 186.59/186.37 [1570]~E(x15701,x15702)+E(f406(x15701),f406(x15702)) % 186.59/186.37 [1571]~E(x15711,x15712)+E(f571(x15711,x15713,x15714,x15715),f571(x15712,x15713,x15714,x15715)) % 186.59/186.37 [1572]~E(x15721,x15722)+E(f571(x15723,x15721,x15724,x15725),f571(x15723,x15722,x15724,x15725)) % 186.59/186.37 [1573]~E(x15731,x15732)+E(f571(x15733,x15734,x15731,x15735),f571(x15733,x15734,x15732,x15735)) % 186.59/186.37 [1574]~E(x15741,x15742)+E(f571(x15743,x15744,x15745,x15741),f571(x15743,x15744,x15745,x15742)) % 186.59/186.37 [1575]~E(x15751,x15752)+E(f821(x15751,x15753),f821(x15752,x15753)) % 186.59/186.37 [1576]~E(x15761,x15762)+E(f821(x15763,x15761),f821(x15763,x15762)) % 186.59/186.37 [1577]~E(x15771,x15772)+E(f413(x15771,x15773,x15774,x15775,x15776),f413(x15772,x15773,x15774,x15775,x15776)) % 186.59/186.37 [1578]~E(x15781,x15782)+E(f413(x15783,x15781,x15784,x15785,x15786),f413(x15783,x15782,x15784,x15785,x15786)) % 186.59/186.37 [1579]~E(x15791,x15792)+E(f413(x15793,x15794,x15791,x15795,x15796),f413(x15793,x15794,x15792,x15795,x15796)) % 186.59/186.37 [1580]~E(x15801,x15802)+E(f413(x15803,x15804,x15805,x15801,x15806),f413(x15803,x15804,x15805,x15802,x15806)) % 186.59/186.37 [1581]~E(x15811,x15812)+E(f413(x15813,x15814,x15815,x15816,x15811),f413(x15813,x15814,x15815,x15816,x15812)) % 186.59/186.37 [1582]~E(x15821,x15822)+E(f207(x15821,x15823),f207(x15822,x15823)) % 186.59/186.37 [1583]~E(x15831,x15832)+E(f207(x15833,x15831),f207(x15833,x15832)) % 186.59/186.37 [1584]~E(x15841,x15842)+E(f476(x15841,x15843,x15844),f476(x15842,x15843,x15844)) % 186.59/186.37 [1585]~E(x15851,x15852)+E(f476(x15853,x15851,x15854),f476(x15853,x15852,x15854)) % 186.59/186.37 [1586]~E(x15861,x15862)+E(f476(x15863,x15864,x15861),f476(x15863,x15864,x15862)) % 186.59/186.37 [1587]~E(x15871,x15872)+E(f842(x15871,x15873,x15874,x15875,x15876,x15877),f842(x15872,x15873,x15874,x15875,x15876,x15877)) % 186.59/186.37 [1588]~E(x15881,x15882)+E(f842(x15883,x15881,x15884,x15885,x15886,x15887),f842(x15883,x15882,x15884,x15885,x15886,x15887)) % 186.59/186.37 [1589]~E(x15891,x15892)+E(f842(x15893,x15894,x15891,x15895,x15896,x15897),f842(x15893,x15894,x15892,x15895,x15896,x15897)) % 186.59/186.37 [1590]~E(x15901,x15902)+E(f842(x15903,x15904,x15905,x15901,x15906,x15907),f842(x15903,x15904,x15905,x15902,x15906,x15907)) % 186.59/186.37 [1591]~E(x15911,x15912)+E(f842(x15913,x15914,x15915,x15916,x15911,x15917),f842(x15913,x15914,x15915,x15916,x15912,x15917)) % 186.59/186.37 [1592]~E(x15921,x15922)+E(f842(x15923,x15924,x15925,x15926,x15927,x15921),f842(x15923,x15924,x15925,x15926,x15927,x15922)) % 186.59/186.37 [1593]~E(x15931,x15932)+E(f610(x15931,x15933),f610(x15932,x15933)) % 186.59/186.37 [1594]~E(x15941,x15942)+E(f610(x15943,x15941),f610(x15943,x15942)) % 186.59/186.37 [1595]~E(x15951,x15952)+E(f674(x15951,x15953,x15954,x15955),f674(x15952,x15953,x15954,x15955)) % 186.59/186.37 [1596]~E(x15961,x15962)+E(f674(x15963,x15961,x15964,x15965),f674(x15963,x15962,x15964,x15965)) % 186.59/186.37 [1597]~E(x15971,x15972)+E(f674(x15973,x15974,x15971,x15975),f674(x15973,x15974,x15972,x15975)) % 186.59/186.37 [1598]~E(x15981,x15982)+E(f674(x15983,x15984,x15985,x15981),f674(x15983,x15984,x15985,x15982)) % 186.59/186.37 [1599]~E(x15991,x15992)+E(f34(x15991),f34(x15992)) % 186.59/186.37 [1600]~E(x16001,x16002)+E(f342(x16001,x16003,x16004,x16005),f342(x16002,x16003,x16004,x16005)) % 186.59/186.37 [1601]~E(x16011,x16012)+E(f342(x16013,x16011,x16014,x16015),f342(x16013,x16012,x16014,x16015)) % 186.59/186.37 [1602]~E(x16021,x16022)+E(f342(x16023,x16024,x16021,x16025),f342(x16023,x16024,x16022,x16025)) % 186.59/186.37 [1603]~E(x16031,x16032)+E(f342(x16033,x16034,x16035,x16031),f342(x16033,x16034,x16035,x16032)) % 186.59/186.37 [1604]~E(x16041,x16042)+E(f220(x16041,x16043),f220(x16042,x16043)) % 186.59/186.37 [1605]~E(x16051,x16052)+E(f220(x16053,x16051),f220(x16053,x16052)) % 186.59/186.37 [1606]~E(x16061,x16062)+E(f478(x16061,x16063,x16064,x16065,x16066),f478(x16062,x16063,x16064,x16065,x16066)) % 186.59/186.37 [1607]~E(x16071,x16072)+E(f478(x16073,x16071,x16074,x16075,x16076),f478(x16073,x16072,x16074,x16075,x16076)) % 186.59/186.37 [1608]~E(x16081,x16082)+E(f478(x16083,x16084,x16081,x16085,x16086),f478(x16083,x16084,x16082,x16085,x16086)) % 186.59/186.37 [1609]~E(x16091,x16092)+E(f478(x16093,x16094,x16095,x16091,x16096),f478(x16093,x16094,x16095,x16092,x16096)) % 186.59/186.37 [1610]~E(x16101,x16102)+E(f478(x16103,x16104,x16105,x16106,x16101),f478(x16103,x16104,x16105,x16106,x16102)) % 186.59/186.37 [1611]~E(x16111,x16112)+E(f374(x16111,x16113,x16114,x16115),f374(x16112,x16113,x16114,x16115)) % 186.59/186.37 [1612]~E(x16121,x16122)+E(f374(x16123,x16121,x16124,x16125),f374(x16123,x16122,x16124,x16125)) % 186.59/186.37 [1613]~E(x16131,x16132)+E(f374(x16133,x16134,x16131,x16135),f374(x16133,x16134,x16132,x16135)) % 186.59/186.37 [1614]~E(x16141,x16142)+E(f374(x16143,x16144,x16145,x16141),f374(x16143,x16144,x16145,x16142)) % 186.59/186.37 [1615]~E(x16151,x16152)+E(f847(x16151,x16153,x16154,x16155,x16156,x16157),f847(x16152,x16153,x16154,x16155,x16156,x16157)) % 186.59/186.37 [1616]~E(x16161,x16162)+E(f847(x16163,x16161,x16164,x16165,x16166,x16167),f847(x16163,x16162,x16164,x16165,x16166,x16167)) % 186.59/186.37 [1617]~E(x16171,x16172)+E(f847(x16173,x16174,x16171,x16175,x16176,x16177),f847(x16173,x16174,x16172,x16175,x16176,x16177)) % 186.59/186.37 [1618]~E(x16181,x16182)+E(f847(x16183,x16184,x16185,x16181,x16186,x16187),f847(x16183,x16184,x16185,x16182,x16186,x16187)) % 186.59/186.37 [1619]~E(x16191,x16192)+E(f847(x16193,x16194,x16195,x16196,x16191,x16197),f847(x16193,x16194,x16195,x16196,x16192,x16197)) % 186.59/186.37 [1620]~E(x16201,x16202)+E(f847(x16203,x16204,x16205,x16206,x16207,x16201),f847(x16203,x16204,x16205,x16206,x16207,x16202)) % 186.59/186.37 [1621]~E(x16211,x16212)+E(f409(x16211,x16213),f409(x16212,x16213)) % 186.59/186.37 [1622]~E(x16221,x16222)+E(f409(x16223,x16221),f409(x16223,x16222)) % 186.59/186.37 [1623]~E(x16231,x16232)+E(f833(x16231,x16233,x16234),f833(x16232,x16233,x16234)) % 186.59/186.37 [1624]~E(x16241,x16242)+E(f833(x16243,x16241,x16244),f833(x16243,x16242,x16244)) % 186.59/186.37 [1625]~E(x16251,x16252)+E(f833(x16253,x16254,x16251),f833(x16253,x16254,x16252)) % 186.59/186.37 [1626]~E(x16261,x16262)+E(f749(x16261,x16263,x16264,x16265,x16266),f749(x16262,x16263,x16264,x16265,x16266)) % 186.59/186.37 [1627]~E(x16271,x16272)+E(f749(x16273,x16271,x16274,x16275,x16276),f749(x16273,x16272,x16274,x16275,x16276)) % 186.59/186.37 [1628]~E(x16281,x16282)+E(f749(x16283,x16284,x16281,x16285,x16286),f749(x16283,x16284,x16282,x16285,x16286)) % 186.59/186.37 [1629]~E(x16291,x16292)+E(f749(x16293,x16294,x16295,x16291,x16296),f749(x16293,x16294,x16295,x16292,x16296)) % 186.59/186.37 [1630]~E(x16301,x16302)+E(f749(x16303,x16304,x16305,x16306,x16301),f749(x16303,x16304,x16305,x16306,x16302)) % 186.59/186.37 [1631]~E(x16311,x16312)+E(f562(x16311,x16313),f562(x16312,x16313)) % 186.59/186.37 [1632]~E(x16321,x16322)+E(f562(x16323,x16321),f562(x16323,x16322)) % 186.59/186.37 [1633]~E(x16331,x16332)+E(f854(x16331,x16333,x16334,x16335,x16336,x16337,x16338,x16339),f854(x16332,x16333,x16334,x16335,x16336,x16337,x16338,x16339)) % 186.59/186.37 [1634]~E(x16341,x16342)+E(f854(x16343,x16341,x16344,x16345,x16346,x16347,x16348,x16349),f854(x16343,x16342,x16344,x16345,x16346,x16347,x16348,x16349)) % 186.59/186.37 [1635]~E(x16351,x16352)+E(f854(x16353,x16354,x16351,x16355,x16356,x16357,x16358,x16359),f854(x16353,x16354,x16352,x16355,x16356,x16357,x16358,x16359)) % 186.59/186.37 [1636]~E(x16361,x16362)+E(f854(x16363,x16364,x16365,x16361,x16366,x16367,x16368,x16369),f854(x16363,x16364,x16365,x16362,x16366,x16367,x16368,x16369)) % 186.59/186.37 [1637]~E(x16371,x16372)+E(f854(x16373,x16374,x16375,x16376,x16371,x16377,x16378,x16379),f854(x16373,x16374,x16375,x16376,x16372,x16377,x16378,x16379)) % 186.59/186.37 [1638]~E(x16381,x16382)+E(f854(x16383,x16384,x16385,x16386,x16387,x16381,x16388,x16389),f854(x16383,x16384,x16385,x16386,x16387,x16382,x16388,x16389)) % 186.59/186.37 [1639]~E(x16391,x16392)+E(f854(x16393,x16394,x16395,x16396,x16397,x16398,x16391,x16399),f854(x16393,x16394,x16395,x16396,x16397,x16398,x16392,x16399)) % 186.59/186.37 [1640]~E(x16401,x16402)+E(f854(x16403,x16404,x16405,x16406,x16407,x16408,x16409,x16401),f854(x16403,x16404,x16405,x16406,x16407,x16408,x16409,x16402)) % 186.59/186.37 [1641]~E(x16411,x16412)+E(f216(x16411,x16413,x16414,x16415,x16416),f216(x16412,x16413,x16414,x16415,x16416)) % 186.59/186.37 [1642]~E(x16421,x16422)+E(f216(x16423,x16421,x16424,x16425,x16426),f216(x16423,x16422,x16424,x16425,x16426)) % 186.59/186.37 [1643]~E(x16431,x16432)+E(f216(x16433,x16434,x16431,x16435,x16436),f216(x16433,x16434,x16432,x16435,x16436)) % 186.59/186.37 [1644]~E(x16441,x16442)+E(f216(x16443,x16444,x16445,x16441,x16446),f216(x16443,x16444,x16445,x16442,x16446)) % 186.59/186.37 [1645]~E(x16451,x16452)+E(f216(x16453,x16454,x16455,x16456,x16451),f216(x16453,x16454,x16455,x16456,x16452)) % 186.59/186.37 [1646]~E(x16461,x16462)+E(f414(x16461),f414(x16462)) % 186.59/186.37 [1647]~E(x16471,x16472)+E(f640(x16471,x16473,x16474,x16475,x16476),f640(x16472,x16473,x16474,x16475,x16476)) % 186.59/186.37 [1648]~E(x16481,x16482)+E(f640(x16483,x16481,x16484,x16485,x16486),f640(x16483,x16482,x16484,x16485,x16486)) % 186.59/186.37 [1649]~E(x16491,x16492)+E(f640(x16493,x16494,x16491,x16495,x16496),f640(x16493,x16494,x16492,x16495,x16496)) % 186.59/186.37 [1650]~E(x16501,x16502)+E(f640(x16503,x16504,x16505,x16501,x16506),f640(x16503,x16504,x16505,x16502,x16506)) % 186.59/186.37 [1651]~E(x16511,x16512)+E(f640(x16513,x16514,x16515,x16516,x16511),f640(x16513,x16514,x16515,x16516,x16512)) % 186.59/186.37 [1652]~E(x16521,x16522)+E(f304(x16521,x16523),f304(x16522,x16523)) % 186.59/186.37 [1653]~E(x16531,x16532)+E(f304(x16533,x16531),f304(x16533,x16532)) % 186.59/186.37 [1654]~E(x16541,x16542)+E(f457(x16541,x16543),f457(x16542,x16543)) % 186.59/186.37 [1655]~E(x16551,x16552)+E(f457(x16553,x16551),f457(x16553,x16552)) % 186.59/186.37 [1656]~E(x16561,x16562)+E(f809(x16561,x16563),f809(x16562,x16563)) % 186.59/186.37 [1657]~E(x16571,x16572)+E(f809(x16573,x16571),f809(x16573,x16572)) % 186.59/186.37 [1658]~E(x16581,x16582)+E(f719(x16581,x16583,x16584),f719(x16582,x16583,x16584)) % 186.59/186.37 [1659]~E(x16591,x16592)+E(f719(x16593,x16591,x16594),f719(x16593,x16592,x16594)) % 186.59/186.37 [1660]~E(x16601,x16602)+E(f719(x16603,x16604,x16601),f719(x16603,x16604,x16602)) % 186.59/186.37 [1661]~E(x16611,x16612)+E(f568(x16611,x16613,x16614,x16615),f568(x16612,x16613,x16614,x16615)) % 186.59/186.37 [1662]~E(x16621,x16622)+E(f568(x16623,x16621,x16624,x16625),f568(x16623,x16622,x16624,x16625)) % 186.59/186.37 [1663]~E(x16631,x16632)+E(f568(x16633,x16634,x16631,x16635),f568(x16633,x16634,x16632,x16635)) % 186.59/186.37 [1664]~E(x16641,x16642)+E(f568(x16643,x16644,x16645,x16641),f568(x16643,x16644,x16645,x16642)) % 186.59/186.37 [1665]~E(x16651,x16652)+E(f770(x16651,x16653,x16654),f770(x16652,x16653,x16654)) % 186.59/186.37 [1666]~E(x16661,x16662)+E(f770(x16663,x16661,x16664),f770(x16663,x16662,x16664)) % 186.59/186.37 [1667]~E(x16671,x16672)+E(f770(x16673,x16674,x16671),f770(x16673,x16674,x16672)) % 186.59/186.37 [1668]~E(x16681,x16682)+E(f626(x16681,x16683,x16684),f626(x16682,x16683,x16684)) % 186.59/186.37 [1669]~E(x16691,x16692)+E(f626(x16693,x16691,x16694),f626(x16693,x16692,x16694)) % 186.59/186.37 [1670]~E(x16701,x16702)+E(f626(x16703,x16704,x16701),f626(x16703,x16704,x16702)) % 186.59/186.37 [1671]~E(x16711,x16712)+E(f614(x16711,x16713,x16714),f614(x16712,x16713,x16714)) % 186.59/186.37 [1672]~E(x16721,x16722)+E(f614(x16723,x16721,x16724),f614(x16723,x16722,x16724)) % 186.59/186.37 [1673]~E(x16731,x16732)+E(f614(x16733,x16734,x16731),f614(x16733,x16734,x16732)) % 186.59/186.37 [1674]~E(x16741,x16742)+E(f467(x16741,x16743,x16744),f467(x16742,x16743,x16744)) % 186.59/186.37 [1675]~E(x16751,x16752)+E(f467(x16753,x16751,x16754),f467(x16753,x16752,x16754)) % 186.59/186.37 [1676]~E(x16761,x16762)+E(f467(x16763,x16764,x16761),f467(x16763,x16764,x16762)) % 186.59/186.37 [1677]~E(x16771,x16772)+E(f831(x16771,x16773,x16774,x16775,x16776),f831(x16772,x16773,x16774,x16775,x16776)) % 186.59/186.37 [1678]~E(x16781,x16782)+E(f831(x16783,x16781,x16784,x16785,x16786),f831(x16783,x16782,x16784,x16785,x16786)) % 186.59/186.37 [1679]~E(x16791,x16792)+E(f831(x16793,x16794,x16791,x16795,x16796),f831(x16793,x16794,x16792,x16795,x16796)) % 186.59/186.37 [1680]~E(x16801,x16802)+E(f831(x16803,x16804,x16805,x16801,x16806),f831(x16803,x16804,x16805,x16802,x16806)) % 186.59/186.37 [1681]~E(x16811,x16812)+E(f831(x16813,x16814,x16815,x16816,x16811),f831(x16813,x16814,x16815,x16816,x16812)) % 186.59/186.37 [1682]~E(x16821,x16822)+E(f803(x16821,x16823,x16824,x16825),f803(x16822,x16823,x16824,x16825)) % 186.59/186.37 [1683]~E(x16831,x16832)+E(f803(x16833,x16831,x16834,x16835),f803(x16833,x16832,x16834,x16835)) % 186.59/186.37 [1684]~E(x16841,x16842)+E(f803(x16843,x16844,x16841,x16845),f803(x16843,x16844,x16842,x16845)) % 186.59/186.37 [1685]~E(x16851,x16852)+E(f803(x16853,x16854,x16855,x16851),f803(x16853,x16854,x16855,x16852)) % 186.59/186.37 [1686]~E(x16861,x16862)+E(f643(x16861,x16863,x16864,x16865,x16866),f643(x16862,x16863,x16864,x16865,x16866)) % 186.59/186.37 [1687]~E(x16871,x16872)+E(f643(x16873,x16871,x16874,x16875,x16876),f643(x16873,x16872,x16874,x16875,x16876)) % 186.59/186.37 [1688]~E(x16881,x16882)+E(f643(x16883,x16884,x16881,x16885,x16886),f643(x16883,x16884,x16882,x16885,x16886)) % 186.59/186.37 [1689]~E(x16891,x16892)+E(f643(x16893,x16894,x16895,x16891,x16896),f643(x16893,x16894,x16895,x16892,x16896)) % 186.59/186.37 [1690]~E(x16901,x16902)+E(f643(x16903,x16904,x16905,x16906,x16901),f643(x16903,x16904,x16905,x16906,x16902)) % 186.59/186.37 [1691]~E(x16911,x16912)+E(f764(x16911,x16913,x16914),f764(x16912,x16913,x16914)) % 186.59/186.37 [1692]~E(x16921,x16922)+E(f764(x16923,x16921,x16924),f764(x16923,x16922,x16924)) % 186.59/186.37 [1693]~E(x16931,x16932)+E(f764(x16933,x16934,x16931),f764(x16933,x16934,x16932)) % 186.59/186.37 [1694]~E(x16941,x16942)+E(f259(x16941),f259(x16942)) % 186.59/186.37 [1695]~E(x16951,x16952)+E(f613(x16951,x16953,x16954,x16955,x16956,x16957),f613(x16952,x16953,x16954,x16955,x16956,x16957)) % 186.59/186.37 [1696]~E(x16961,x16962)+E(f613(x16963,x16961,x16964,x16965,x16966,x16967),f613(x16963,x16962,x16964,x16965,x16966,x16967)) % 186.59/186.37 [1697]~E(x16971,x16972)+E(f613(x16973,x16974,x16971,x16975,x16976,x16977),f613(x16973,x16974,x16972,x16975,x16976,x16977)) % 186.59/186.37 [1698]~E(x16981,x16982)+E(f613(x16983,x16984,x16985,x16981,x16986,x16987),f613(x16983,x16984,x16985,x16982,x16986,x16987)) % 186.59/186.37 [1699]~E(x16991,x16992)+E(f613(x16993,x16994,x16995,x16996,x16991,x16997),f613(x16993,x16994,x16995,x16996,x16992,x16997)) % 186.59/186.37 [1700]~E(x17001,x17002)+E(f613(x17003,x17004,x17005,x17006,x17007,x17001),f613(x17003,x17004,x17005,x17006,x17007,x17002)) % 186.59/186.37 [1701]~E(x17011,x17012)+E(f349(x17011,x17013),f349(x17012,x17013)) % 186.59/186.37 [1702]~E(x17021,x17022)+E(f349(x17023,x17021),f349(x17023,x17022)) % 186.59/186.37 [1703]~E(x17031,x17032)+E(f538(x17031,x17033,x17034,x17035),f538(x17032,x17033,x17034,x17035)) % 186.59/186.37 [1704]~E(x17041,x17042)+E(f538(x17043,x17041,x17044,x17045),f538(x17043,x17042,x17044,x17045)) % 186.59/186.37 [1705]~E(x17051,x17052)+E(f538(x17053,x17054,x17051,x17055),f538(x17053,x17054,x17052,x17055)) % 186.59/186.37 [1706]~E(x17061,x17062)+E(f538(x17063,x17064,x17065,x17061),f538(x17063,x17064,x17065,x17062)) % 186.59/186.37 [1707]~E(x17071,x17072)+E(f851(x17071,x17073,x17074,x17075,x17076,x17077,x17078,x17079),f851(x17072,x17073,x17074,x17075,x17076,x17077,x17078,x17079)) % 186.59/186.37 [1708]~E(x17081,x17082)+E(f851(x17083,x17081,x17084,x17085,x17086,x17087,x17088,x17089),f851(x17083,x17082,x17084,x17085,x17086,x17087,x17088,x17089)) % 186.59/186.37 [1709]~E(x17091,x17092)+E(f851(x17093,x17094,x17091,x17095,x17096,x17097,x17098,x17099),f851(x17093,x17094,x17092,x17095,x17096,x17097,x17098,x17099)) % 186.59/186.37 [1710]~E(x17101,x17102)+E(f851(x17103,x17104,x17105,x17101,x17106,x17107,x17108,x17109),f851(x17103,x17104,x17105,x17102,x17106,x17107,x17108,x17109)) % 186.59/186.37 [1711]~E(x17111,x17112)+E(f851(x17113,x17114,x17115,x17116,x17111,x17117,x17118,x17119),f851(x17113,x17114,x17115,x17116,x17112,x17117,x17118,x17119)) % 186.59/186.37 [1712]~E(x17121,x17122)+E(f851(x17123,x17124,x17125,x17126,x17127,x17121,x17128,x17129),f851(x17123,x17124,x17125,x17126,x17127,x17122,x17128,x17129)) % 186.59/186.37 [1713]~E(x17131,x17132)+E(f851(x17133,x17134,x17135,x17136,x17137,x17138,x17131,x17139),f851(x17133,x17134,x17135,x17136,x17137,x17138,x17132,x17139)) % 186.59/186.37 [1714]~E(x17141,x17142)+E(f851(x17143,x17144,x17145,x17146,x17147,x17148,x17149,x17141),f851(x17143,x17144,x17145,x17146,x17147,x17148,x17149,x17142)) % 186.59/186.37 [1715]~E(x17151,x17152)+E(f412(x17151,x17153,x17154),f412(x17152,x17153,x17154)) % 186.59/186.37 [1716]~E(x17161,x17162)+E(f412(x17163,x17161,x17164),f412(x17163,x17162,x17164)) % 186.59/186.37 [1717]~E(x17171,x17172)+E(f412(x17173,x17174,x17171),f412(x17173,x17174,x17172)) % 186.59/186.37 [1718]~E(x17181,x17182)+E(f666(x17181,x17183,x17184,x17185),f666(x17182,x17183,x17184,x17185)) % 186.59/186.37 [1719]~E(x17191,x17192)+E(f666(x17193,x17191,x17194,x17195),f666(x17193,x17192,x17194,x17195)) % 186.59/186.37 [1720]~E(x17201,x17202)+E(f666(x17203,x17204,x17201,x17205),f666(x17203,x17204,x17202,x17205)) % 186.59/186.37 [1721]~E(x17211,x17212)+E(f666(x17213,x17214,x17215,x17211),f666(x17213,x17214,x17215,x17212)) % 186.59/186.37 [1722]~E(x17221,x17222)+E(f352(x17221,x17223,x17224),f352(x17222,x17223,x17224)) % 186.59/186.37 [1723]~E(x17231,x17232)+E(f352(x17233,x17231,x17234),f352(x17233,x17232,x17234)) % 186.59/186.37 [1724]~E(x17241,x17242)+E(f352(x17243,x17244,x17241),f352(x17243,x17244,x17242)) % 186.59/186.37 [1725]~E(x17251,x17252)+E(f843(x17251,x17253,x17254,x17255,x17256,x17257,x17258,x17259),f843(x17252,x17253,x17254,x17255,x17256,x17257,x17258,x17259)) % 186.59/186.37 [1726]~E(x17261,x17262)+E(f843(x17263,x17261,x17264,x17265,x17266,x17267,x17268,x17269),f843(x17263,x17262,x17264,x17265,x17266,x17267,x17268,x17269)) % 186.59/186.37 [1727]~E(x17271,x17272)+E(f843(x17273,x17274,x17271,x17275,x17276,x17277,x17278,x17279),f843(x17273,x17274,x17272,x17275,x17276,x17277,x17278,x17279)) % 186.59/186.37 [1728]~E(x17281,x17282)+E(f843(x17283,x17284,x17285,x17281,x17286,x17287,x17288,x17289),f843(x17283,x17284,x17285,x17282,x17286,x17287,x17288,x17289)) % 186.59/186.37 [1729]~E(x17291,x17292)+E(f843(x17293,x17294,x17295,x17296,x17291,x17297,x17298,x17299),f843(x17293,x17294,x17295,x17296,x17292,x17297,x17298,x17299)) % 186.59/186.37 [1730]~E(x17301,x17302)+E(f843(x17303,x17304,x17305,x17306,x17307,x17301,x17308,x17309),f843(x17303,x17304,x17305,x17306,x17307,x17302,x17308,x17309)) % 186.59/186.37 [1731]~E(x17311,x17312)+E(f843(x17313,x17314,x17315,x17316,x17317,x17318,x17311,x17319),f843(x17313,x17314,x17315,x17316,x17317,x17318,x17312,x17319)) % 186.59/186.37 [1732]~E(x17321,x17322)+E(f843(x17323,x17324,x17325,x17326,x17327,x17328,x17329,x17321),f843(x17323,x17324,x17325,x17326,x17327,x17328,x17329,x17322)) % 186.59/186.37 [1733]~E(x17331,x17332)+E(f156(x17331,x17333,x17334,x17335),f156(x17332,x17333,x17334,x17335)) % 186.59/186.37 [1734]~E(x17341,x17342)+E(f156(x17343,x17341,x17344,x17345),f156(x17343,x17342,x17344,x17345)) % 186.59/186.37 [1735]~E(x17351,x17352)+E(f156(x17353,x17354,x17351,x17355),f156(x17353,x17354,x17352,x17355)) % 186.59/186.37 [1736]~E(x17361,x17362)+E(f156(x17363,x17364,x17365,x17361),f156(x17363,x17364,x17365,x17362)) % 186.59/186.37 [1737]~E(x17371,x17372)+E(f70(x17371,x17373,x17374,x17375),f70(x17372,x17373,x17374,x17375)) % 186.59/186.37 [1738]~E(x17381,x17382)+E(f70(x17383,x17381,x17384,x17385),f70(x17383,x17382,x17384,x17385)) % 186.59/186.37 [1739]~E(x17391,x17392)+E(f70(x17393,x17394,x17391,x17395),f70(x17393,x17394,x17392,x17395)) % 186.59/186.37 [1740]~E(x17401,x17402)+E(f70(x17403,x17404,x17405,x17401),f70(x17403,x17404,x17405,x17402)) % 186.59/186.37 [1741]~E(x17411,x17412)+E(f468(x17411,x17413),f468(x17412,x17413)) % 186.59/186.37 [1742]~E(x17421,x17422)+E(f468(x17423,x17421),f468(x17423,x17422)) % 186.59/186.37 [1743]~E(x17431,x17432)+E(f558(x17431,x17433,x17434,x17435),f558(x17432,x17433,x17434,x17435)) % 186.59/186.37 [1744]~E(x17441,x17442)+E(f558(x17443,x17441,x17444,x17445),f558(x17443,x17442,x17444,x17445)) % 186.59/186.37 [1745]~E(x17451,x17452)+E(f558(x17453,x17454,x17451,x17455),f558(x17453,x17454,x17452,x17455)) % 186.59/186.37 [1746]~E(x17461,x17462)+E(f558(x17463,x17464,x17465,x17461),f558(x17463,x17464,x17465,x17462)) % 186.59/186.37 [1747]~E(x17471,x17472)+E(f696(x17471,x17473,x17474),f696(x17472,x17473,x17474)) % 186.59/186.37 [1748]~E(x17481,x17482)+E(f696(x17483,x17481,x17484),f696(x17483,x17482,x17484)) % 186.59/186.37 [1749]~E(x17491,x17492)+E(f696(x17493,x17494,x17491),f696(x17493,x17494,x17492)) % 186.59/186.37 [1750]~E(x17501,x17502)+E(f241(x17501,x17503,x17504),f241(x17502,x17503,x17504)) % 186.59/186.37 [1751]~E(x17511,x17512)+E(f241(x17513,x17511,x17514),f241(x17513,x17512,x17514)) % 186.59/186.37 [1752]~E(x17521,x17522)+E(f241(x17523,x17524,x17521),f241(x17523,x17524,x17522)) % 186.59/186.37 [1753]~E(x17531,x17532)+E(f820(x17531,x17533,x17534,x17535,x17536,x17537),f820(x17532,x17533,x17534,x17535,x17536,x17537)) % 186.59/186.37 [1754]~E(x17541,x17542)+E(f820(x17543,x17541,x17544,x17545,x17546,x17547),f820(x17543,x17542,x17544,x17545,x17546,x17547)) % 186.59/186.37 [1755]~E(x17551,x17552)+E(f820(x17553,x17554,x17551,x17555,x17556,x17557),f820(x17553,x17554,x17552,x17555,x17556,x17557)) % 186.59/186.37 [1756]~E(x17561,x17562)+E(f820(x17563,x17564,x17565,x17561,x17566,x17567),f820(x17563,x17564,x17565,x17562,x17566,x17567)) % 186.59/186.37 [1757]~E(x17571,x17572)+E(f820(x17573,x17574,x17575,x17576,x17571,x17577),f820(x17573,x17574,x17575,x17576,x17572,x17577)) % 186.59/186.37 [1758]~E(x17581,x17582)+E(f820(x17583,x17584,x17585,x17586,x17587,x17581),f820(x17583,x17584,x17585,x17586,x17587,x17582)) % 186.59/186.37 [1759]~E(x17591,x17592)+E(f768(x17591,x17593,x17594),f768(x17592,x17593,x17594)) % 186.59/186.37 [1760]~E(x17601,x17602)+E(f768(x17603,x17601,x17604),f768(x17603,x17602,x17604)) % 186.59/186.37 [1761]~E(x17611,x17612)+E(f768(x17613,x17614,x17611),f768(x17613,x17614,x17612)) % 186.59/186.37 [1762]~E(x17621,x17622)+E(f177(x17621,x17623,x17624),f177(x17622,x17623,x17624)) % 186.59/186.37 [1763]~E(x17631,x17632)+E(f177(x17633,x17631,x17634),f177(x17633,x17632,x17634)) % 186.59/186.37 [1764]~E(x17641,x17642)+E(f177(x17643,x17644,x17641),f177(x17643,x17644,x17642)) % 186.59/186.37 [1765]~E(x17651,x17652)+E(f817(x17651,x17653,x17654,x17655,x17656),f817(x17652,x17653,x17654,x17655,x17656)) % 186.59/186.37 [1766]~E(x17661,x17662)+E(f817(x17663,x17661,x17664,x17665,x17666),f817(x17663,x17662,x17664,x17665,x17666)) % 186.59/186.37 [1767]~E(x17671,x17672)+E(f817(x17673,x17674,x17671,x17675,x17676),f817(x17673,x17674,x17672,x17675,x17676)) % 186.59/186.37 [1768]~E(x17681,x17682)+E(f817(x17683,x17684,x17685,x17681,x17686),f817(x17683,x17684,x17685,x17682,x17686)) % 186.59/186.37 [1769]~E(x17691,x17692)+E(f817(x17693,x17694,x17695,x17696,x17691),f817(x17693,x17694,x17695,x17696,x17692)) % 186.59/186.37 [1770]~E(x17701,x17702)+E(f358(x17701),f358(x17702)) % 186.59/186.37 [1771]~E(x17711,x17712)+E(f485(x17711,x17713,x17714,x17715,x17716),f485(x17712,x17713,x17714,x17715,x17716)) % 186.59/186.37 [1772]~E(x17721,x17722)+E(f485(x17723,x17721,x17724,x17725,x17726),f485(x17723,x17722,x17724,x17725,x17726)) % 186.59/186.37 [1773]~E(x17731,x17732)+E(f485(x17733,x17734,x17731,x17735,x17736),f485(x17733,x17734,x17732,x17735,x17736)) % 186.59/186.37 [1774]~E(x17741,x17742)+E(f485(x17743,x17744,x17745,x17741,x17746),f485(x17743,x17744,x17745,x17742,x17746)) % 186.59/186.37 [1775]~E(x17751,x17752)+E(f485(x17753,x17754,x17755,x17756,x17751),f485(x17753,x17754,x17755,x17756,x17752)) % 186.59/186.37 [1776]~E(x17761,x17762)+E(f594(x17761,x17763,x17764,x17765),f594(x17762,x17763,x17764,x17765)) % 186.59/186.37 [1777]~E(x17771,x17772)+E(f594(x17773,x17771,x17774,x17775),f594(x17773,x17772,x17774,x17775)) % 186.59/186.37 [1778]~E(x17781,x17782)+E(f594(x17783,x17784,x17781,x17785),f594(x17783,x17784,x17782,x17785)) % 186.59/186.37 [1779]~E(x17791,x17792)+E(f594(x17793,x17794,x17795,x17791),f594(x17793,x17794,x17795,x17792)) % 186.59/186.37 [1780]~E(x17801,x17802)+E(f454(x17801,x17803,x17804),f454(x17802,x17803,x17804)) % 186.59/186.37 [1781]~E(x17811,x17812)+E(f454(x17813,x17811,x17814),f454(x17813,x17812,x17814)) % 186.59/186.37 [1782]~E(x17821,x17822)+E(f454(x17823,x17824,x17821),f454(x17823,x17824,x17822)) % 186.59/186.37 [1783]~E(x17831,x17832)+E(f692(x17831,x17833,x17834,x17835),f692(x17832,x17833,x17834,x17835)) % 186.59/186.37 [1784]~E(x17841,x17842)+E(f692(x17843,x17841,x17844,x17845),f692(x17843,x17842,x17844,x17845)) % 186.59/186.37 [1785]~E(x17851,x17852)+E(f692(x17853,x17854,x17851,x17855),f692(x17853,x17854,x17852,x17855)) % 186.59/186.37 [1786]~E(x17861,x17862)+E(f692(x17863,x17864,x17865,x17861),f692(x17863,x17864,x17865,x17862)) % 186.59/186.37 [1787]~E(x17871,x17872)+E(f600(x17871,x17873,x17874,x17875,x17876,x17877),f600(x17872,x17873,x17874,x17875,x17876,x17877)) % 186.59/186.37 [1788]~E(x17881,x17882)+E(f600(x17883,x17881,x17884,x17885,x17886,x17887),f600(x17883,x17882,x17884,x17885,x17886,x17887)) % 186.59/186.37 [1789]~E(x17891,x17892)+E(f600(x17893,x17894,x17891,x17895,x17896,x17897),f600(x17893,x17894,x17892,x17895,x17896,x17897)) % 186.59/186.37 [1790]~E(x17901,x17902)+E(f600(x17903,x17904,x17905,x17901,x17906,x17907),f600(x17903,x17904,x17905,x17902,x17906,x17907)) % 186.59/186.37 [1791]~E(x17911,x17912)+E(f600(x17913,x17914,x17915,x17916,x17911,x17917),f600(x17913,x17914,x17915,x17916,x17912,x17917)) % 186.59/186.37 [1792]~E(x17921,x17922)+E(f600(x17923,x17924,x17925,x17926,x17927,x17921),f600(x17923,x17924,x17925,x17926,x17927,x17922)) % 186.59/186.37 [1793]~E(x17931,x17932)+E(f581(x17931,x17933,x17934,x17935),f581(x17932,x17933,x17934,x17935)) % 186.59/186.37 [1794]~E(x17941,x17942)+E(f581(x17943,x17941,x17944,x17945),f581(x17943,x17942,x17944,x17945)) % 186.59/186.37 [1795]~E(x17951,x17952)+E(f581(x17953,x17954,x17951,x17955),f581(x17953,x17954,x17952,x17955)) % 186.59/186.37 [1796]~E(x17961,x17962)+E(f581(x17963,x17964,x17965,x17961),f581(x17963,x17964,x17965,x17962)) % 186.59/186.37 [1797]~E(x17971,x17972)+E(f599(x17971,x17973,x17974,x17975,x17976,x17977),f599(x17972,x17973,x17974,x17975,x17976,x17977)) % 186.59/186.37 [1798]~E(x17981,x17982)+E(f599(x17983,x17981,x17984,x17985,x17986,x17987),f599(x17983,x17982,x17984,x17985,x17986,x17987)) % 186.59/186.37 [1799]~E(x17991,x17992)+E(f599(x17993,x17994,x17991,x17995,x17996,x17997),f599(x17993,x17994,x17992,x17995,x17996,x17997)) % 186.59/186.37 [1800]~E(x18001,x18002)+E(f599(x18003,x18004,x18005,x18001,x18006,x18007),f599(x18003,x18004,x18005,x18002,x18006,x18007)) % 186.59/186.37 [1801]~E(x18011,x18012)+E(f599(x18013,x18014,x18015,x18016,x18011,x18017),f599(x18013,x18014,x18015,x18016,x18012,x18017)) % 186.59/186.37 [1802]~E(x18021,x18022)+E(f599(x18023,x18024,x18025,x18026,x18027,x18021),f599(x18023,x18024,x18025,x18026,x18027,x18022)) % 186.59/186.37 [1803]~E(x18031,x18032)+E(f344(x18031,x18033),f344(x18032,x18033)) % 186.59/186.37 [1804]~E(x18041,x18042)+E(f344(x18043,x18041),f344(x18043,x18042)) % 186.59/186.37 [1805]~E(x18051,x18052)+E(f331(x18051,x18053),f331(x18052,x18053)) % 186.59/186.37 [1806]~E(x18061,x18062)+E(f331(x18063,x18061),f331(x18063,x18062)) % 186.59/186.37 [1807]~E(x18071,x18072)+E(f188(x18071,x18073,x18074,x18075),f188(x18072,x18073,x18074,x18075)) % 186.59/186.37 [1808]~E(x18081,x18082)+E(f188(x18083,x18081,x18084,x18085),f188(x18083,x18082,x18084,x18085)) % 186.59/186.37 [1809]~E(x18091,x18092)+E(f188(x18093,x18094,x18091,x18095),f188(x18093,x18094,x18092,x18095)) % 186.59/186.37 [1810]~E(x18101,x18102)+E(f188(x18103,x18104,x18105,x18101),f188(x18103,x18104,x18105,x18102)) % 186.59/186.37 [1811]~E(x18111,x18112)+E(f757(x18111,x18113,x18114),f757(x18112,x18113,x18114)) % 186.59/186.37 [1812]~E(x18121,x18122)+E(f757(x18123,x18121,x18124),f757(x18123,x18122,x18124)) % 186.59/186.37 [1813]~E(x18131,x18132)+E(f757(x18133,x18134,x18131),f757(x18133,x18134,x18132)) % 186.59/186.37 [1814]~E(x18141,x18142)+E(f695(x18141,x18143,x18144,x18145,x18146),f695(x18142,x18143,x18144,x18145,x18146)) % 186.59/186.37 [1815]~E(x18151,x18152)+E(f695(x18153,x18151,x18154,x18155,x18156),f695(x18153,x18152,x18154,x18155,x18156)) % 186.59/186.37 [1816]~E(x18161,x18162)+E(f695(x18163,x18164,x18161,x18165,x18166),f695(x18163,x18164,x18162,x18165,x18166)) % 186.59/186.37 [1817]~E(x18171,x18172)+E(f695(x18173,x18174,x18175,x18171,x18176),f695(x18173,x18174,x18175,x18172,x18176)) % 186.59/186.37 [1818]~E(x18181,x18182)+E(f695(x18183,x18184,x18185,x18186,x18181),f695(x18183,x18184,x18185,x18186,x18182)) % 186.59/186.37 [1819]~E(x18191,x18192)+E(f193(x18191),f193(x18192)) % 186.59/186.37 [1820]~E(x18201,x18202)+E(f549(x18201,x18203,x18204,x18205,x18206),f549(x18202,x18203,x18204,x18205,x18206)) % 186.59/186.37 [1821]~E(x18211,x18212)+E(f549(x18213,x18211,x18214,x18215,x18216),f549(x18213,x18212,x18214,x18215,x18216)) % 186.59/186.37 [1822]~E(x18221,x18222)+E(f549(x18223,x18224,x18221,x18225,x18226),f549(x18223,x18224,x18222,x18225,x18226)) % 186.59/186.37 [1823]~E(x18231,x18232)+E(f549(x18233,x18234,x18235,x18231,x18236),f549(x18233,x18234,x18235,x18232,x18236)) % 186.59/186.37 [1824]~E(x18241,x18242)+E(f549(x18243,x18244,x18245,x18246,x18241),f549(x18243,x18244,x18245,x18246,x18242)) % 186.59/186.37 [1825]~E(x18251,x18252)+E(f765(x18251,x18253,x18254),f765(x18252,x18253,x18254)) % 186.59/186.37 [1826]~E(x18261,x18262)+E(f765(x18263,x18261,x18264),f765(x18263,x18262,x18264)) % 186.59/186.37 [1827]~E(x18271,x18272)+E(f765(x18273,x18274,x18271),f765(x18273,x18274,x18272)) % 186.59/186.37 [1828]~E(x18281,x18282)+E(f639(x18281,x18283,x18284,x18285,x18286),f639(x18282,x18283,x18284,x18285,x18286)) % 186.59/186.37 [1829]~E(x18291,x18292)+E(f639(x18293,x18291,x18294,x18295,x18296),f639(x18293,x18292,x18294,x18295,x18296)) % 186.59/186.37 [1830]~E(x18301,x18302)+E(f639(x18303,x18304,x18301,x18305,x18306),f639(x18303,x18304,x18302,x18305,x18306)) % 186.59/186.37 [1831]~E(x18311,x18312)+E(f639(x18313,x18314,x18315,x18311,x18316),f639(x18313,x18314,x18315,x18312,x18316)) % 186.59/186.37 [1832]~E(x18321,x18322)+E(f639(x18323,x18324,x18325,x18326,x18321),f639(x18323,x18324,x18325,x18326,x18322)) % 186.59/186.37 [1833]~E(x18331,x18332)+E(f215(x18331,x18333,x18334),f215(x18332,x18333,x18334)) % 186.59/186.37 [1834]~E(x18341,x18342)+E(f215(x18343,x18341,x18344),f215(x18343,x18342,x18344)) % 186.59/186.37 [1835]~E(x18351,x18352)+E(f215(x18353,x18354,x18351),f215(x18353,x18354,x18352)) % 186.59/186.37 [1836]~E(x18361,x18362)+E(f365(x18361,x18363,x18364,x18365,x18366),f365(x18362,x18363,x18364,x18365,x18366)) % 186.59/186.37 [1837]~E(x18371,x18372)+E(f365(x18373,x18371,x18374,x18375,x18376),f365(x18373,x18372,x18374,x18375,x18376)) % 186.59/186.37 [1838]~E(x18381,x18382)+E(f365(x18383,x18384,x18381,x18385,x18386),f365(x18383,x18384,x18382,x18385,x18386)) % 186.59/186.37 [1839]~E(x18391,x18392)+E(f365(x18393,x18394,x18395,x18391,x18396),f365(x18393,x18394,x18395,x18392,x18396)) % 186.59/186.37 [1840]~E(x18401,x18402)+E(f365(x18403,x18404,x18405,x18406,x18401),f365(x18403,x18404,x18405,x18406,x18402)) % 186.59/186.37 [1841]~E(x18411,x18412)+E(f149(x18411,x18413,x18414,x18415),f149(x18412,x18413,x18414,x18415)) % 186.59/186.37 [1842]~E(x18421,x18422)+E(f149(x18423,x18421,x18424,x18425),f149(x18423,x18422,x18424,x18425)) % 186.59/186.37 [1843]~E(x18431,x18432)+E(f149(x18433,x18434,x18431,x18435),f149(x18433,x18434,x18432,x18435)) % 186.59/186.37 [1844]~E(x18441,x18442)+E(f149(x18443,x18444,x18445,x18441),f149(x18443,x18444,x18445,x18442)) % 186.59/186.37 [1845]~E(x18451,x18452)+E(f701(x18451,x18453,x18454,x18455,x18456),f701(x18452,x18453,x18454,x18455,x18456)) % 186.59/186.37 [1846]~E(x18461,x18462)+E(f701(x18463,x18461,x18464,x18465,x18466),f701(x18463,x18462,x18464,x18465,x18466)) % 186.59/186.37 [1847]~E(x18471,x18472)+E(f701(x18473,x18474,x18471,x18475,x18476),f701(x18473,x18474,x18472,x18475,x18476)) % 186.59/186.37 [1848]~E(x18481,x18482)+E(f701(x18483,x18484,x18485,x18481,x18486),f701(x18483,x18484,x18485,x18482,x18486)) % 186.59/186.37 [1849]~E(x18491,x18492)+E(f701(x18493,x18494,x18495,x18496,x18491),f701(x18493,x18494,x18495,x18496,x18492)) % 186.59/186.37 [1850]~E(x18501,x18502)+E(f651(x18501,x18503),f651(x18502,x18503)) % 186.59/186.37 [1851]~E(x18511,x18512)+E(f651(x18513,x18511),f651(x18513,x18512)) % 186.59/186.37 [1852]~E(x18521,x18522)+E(f453(x18521,x18523,x18524),f453(x18522,x18523,x18524)) % 186.59/186.37 [1853]~E(x18531,x18532)+E(f453(x18533,x18531,x18534),f453(x18533,x18532,x18534)) % 186.59/186.37 [1854]~E(x18541,x18542)+E(f453(x18543,x18544,x18541),f453(x18543,x18544,x18542)) % 186.59/186.37 [1855]~E(x18551,x18552)+E(f396(x18551,x18553,x18554,x18555),f396(x18552,x18553,x18554,x18555)) % 186.59/186.37 [1856]~E(x18561,x18562)+E(f396(x18563,x18561,x18564,x18565),f396(x18563,x18562,x18564,x18565)) % 186.59/186.37 [1857]~E(x18571,x18572)+E(f396(x18573,x18574,x18571,x18575),f396(x18573,x18574,x18572,x18575)) % 186.59/186.37 [1858]~E(x18581,x18582)+E(f396(x18583,x18584,x18585,x18581),f396(x18583,x18584,x18585,x18582)) % 186.59/186.37 [1859]~E(x18591,x18592)+E(f636(x18591,x18593,x18594,x18595,x18596),f636(x18592,x18593,x18594,x18595,x18596)) % 186.59/186.37 [1860]~E(x18601,x18602)+E(f636(x18603,x18601,x18604,x18605,x18606),f636(x18603,x18602,x18604,x18605,x18606)) % 186.59/186.37 [1861]~E(x18611,x18612)+E(f636(x18613,x18614,x18611,x18615,x18616),f636(x18613,x18614,x18612,x18615,x18616)) % 186.59/186.37 [1862]~E(x18621,x18622)+E(f636(x18623,x18624,x18625,x18621,x18626),f636(x18623,x18624,x18625,x18622,x18626)) % 186.59/186.37 [1863]~E(x18631,x18632)+E(f636(x18633,x18634,x18635,x18636,x18631),f636(x18633,x18634,x18635,x18636,x18632)) % 186.59/186.37 [1864]~E(x18641,x18642)+E(f883(x18641,x18643),f883(x18642,x18643)) % 186.59/186.37 [1865]~E(x18651,x18652)+E(f883(x18653,x18651),f883(x18653,x18652)) % 186.59/186.37 [1866]~E(x18661,x18662)+E(f916(x18661,x18663,x18664,x18665,x18666),f916(x18662,x18663,x18664,x18665,x18666)) % 186.59/186.37 [1867]~E(x18671,x18672)+E(f916(x18673,x18671,x18674,x18675,x18676),f916(x18673,x18672,x18674,x18675,x18676)) % 186.59/186.37 [1868]~E(x18681,x18682)+E(f916(x18683,x18684,x18681,x18685,x18686),f916(x18683,x18684,x18682,x18685,x18686)) % 186.59/186.37 [1869]~E(x18691,x18692)+E(f916(x18693,x18694,x18695,x18691,x18696),f916(x18693,x18694,x18695,x18692,x18696)) % 186.59/186.37 [1870]~E(x18701,x18702)+E(f916(x18703,x18704,x18705,x18706,x18701),f916(x18703,x18704,x18705,x18706,x18702)) % 186.59/186.37 [1871]~E(x18711,x18712)+E(f609(x18711,x18713),f609(x18712,x18713)) % 186.59/186.37 [1872]~E(x18721,x18722)+E(f609(x18723,x18721),f609(x18723,x18722)) % 186.59/186.37 [1873]~E(x18731,x18732)+E(f400(x18731,x18733,x18734,x18735),f400(x18732,x18733,x18734,x18735)) % 186.59/186.37 [1874]~E(x18741,x18742)+E(f400(x18743,x18741,x18744,x18745),f400(x18743,x18742,x18744,x18745)) % 186.59/186.37 [1875]~E(x18751,x18752)+E(f400(x18753,x18754,x18751,x18755),f400(x18753,x18754,x18752,x18755)) % 186.59/186.37 [1876]~E(x18761,x18762)+E(f400(x18763,x18764,x18765,x18761),f400(x18763,x18764,x18765,x18762)) % 186.59/186.37 [1877]~E(x18771,x18772)+E(f540(x18771,x18773,x18774,x18775,x18776),f540(x18772,x18773,x18774,x18775,x18776)) % 186.59/186.37 [1878]~E(x18781,x18782)+E(f540(x18783,x18781,x18784,x18785,x18786),f540(x18783,x18782,x18784,x18785,x18786)) % 186.59/186.37 [1879]~E(x18791,x18792)+E(f540(x18793,x18794,x18791,x18795,x18796),f540(x18793,x18794,x18792,x18795,x18796)) % 186.59/186.37 [1880]~E(x18801,x18802)+E(f540(x18803,x18804,x18805,x18801,x18806),f540(x18803,x18804,x18805,x18802,x18806)) % 186.59/186.37 [1881]~E(x18811,x18812)+E(f540(x18813,x18814,x18815,x18816,x18811),f540(x18813,x18814,x18815,x18816,x18812)) % 186.59/186.37 [1882]~E(x18821,x18822)+E(f619(x18821,x18823,x18824,x18825,x18826,x18827,x18828,x18829),f619(x18822,x18823,x18824,x18825,x18826,x18827,x18828,x18829)) % 186.59/186.37 [1883]~E(x18831,x18832)+E(f619(x18833,x18831,x18834,x18835,x18836,x18837,x18838,x18839),f619(x18833,x18832,x18834,x18835,x18836,x18837,x18838,x18839)) % 186.59/186.37 [1884]~E(x18841,x18842)+E(f619(x18843,x18844,x18841,x18845,x18846,x18847,x18848,x18849),f619(x18843,x18844,x18842,x18845,x18846,x18847,x18848,x18849)) % 186.59/186.37 [1885]~E(x18851,x18852)+E(f619(x18853,x18854,x18855,x18851,x18856,x18857,x18858,x18859),f619(x18853,x18854,x18855,x18852,x18856,x18857,x18858,x18859)) % 186.59/186.37 [1886]~E(x18861,x18862)+E(f619(x18863,x18864,x18865,x18866,x18861,x18867,x18868,x18869),f619(x18863,x18864,x18865,x18866,x18862,x18867,x18868,x18869)) % 186.59/186.37 [1887]~E(x18871,x18872)+E(f619(x18873,x18874,x18875,x18876,x18877,x18871,x18878,x18879),f619(x18873,x18874,x18875,x18876,x18877,x18872,x18878,x18879)) % 186.59/186.37 [1888]~E(x18881,x18882)+E(f619(x18883,x18884,x18885,x18886,x18887,x18888,x18881,x18889),f619(x18883,x18884,x18885,x18886,x18887,x18888,x18882,x18889)) % 186.59/186.37 [1889]~E(x18891,x18892)+E(f619(x18893,x18894,x18895,x18896,x18897,x18898,x18899,x18891),f619(x18893,x18894,x18895,x18896,x18897,x18898,x18899,x18892)) % 186.59/186.37 [1890]~E(x18901,x18902)+E(f401(x18901,x18903,x18904,x18905),f401(x18902,x18903,x18904,x18905)) % 186.59/186.37 [1891]~E(x18911,x18912)+E(f401(x18913,x18911,x18914,x18915),f401(x18913,x18912,x18914,x18915)) % 186.59/186.37 [1892]~E(x18921,x18922)+E(f401(x18923,x18924,x18921,x18925),f401(x18923,x18924,x18922,x18925)) % 186.59/186.37 [1893]~E(x18931,x18932)+E(f401(x18933,x18934,x18935,x18931),f401(x18933,x18934,x18935,x18932)) % 186.59/186.37 [1894]~E(x18941,x18942)+E(f864(x18941,x18943),f864(x18942,x18943)) % 186.59/186.37 [1895]~E(x18951,x18952)+E(f864(x18953,x18951),f864(x18953,x18952)) % 186.59/186.37 [1896]~E(x18961,x18962)+E(f828(x18961,x18963),f828(x18962,x18963)) % 186.59/186.37 [1897]~E(x18971,x18972)+E(f828(x18973,x18971),f828(x18973,x18972)) % 186.59/186.37 [1898]~E(x18981,x18982)+E(f449(x18981,x18983,x18984),f449(x18982,x18983,x18984)) % 186.59/186.37 [1899]~E(x18991,x18992)+E(f449(x18993,x18991,x18994),f449(x18993,x18992,x18994)) % 186.59/186.37 [1900]~E(x19001,x19002)+E(f449(x19003,x19004,x19001),f449(x19003,x19004,x19002)) % 186.59/186.37 [1901]~E(x19011,x19012)+E(f884(x19011,x19013,x19014,x19015,x19016),f884(x19012,x19013,x19014,x19015,x19016)) % 186.59/186.37 [1902]~E(x19021,x19022)+E(f884(x19023,x19021,x19024,x19025,x19026),f884(x19023,x19022,x19024,x19025,x19026)) % 186.59/186.37 [1903]~E(x19031,x19032)+E(f884(x19033,x19034,x19031,x19035,x19036),f884(x19033,x19034,x19032,x19035,x19036)) % 186.59/186.37 [1904]~E(x19041,x19042)+E(f884(x19043,x19044,x19045,x19041,x19046),f884(x19043,x19044,x19045,x19042,x19046)) % 186.59/186.37 [1905]~E(x19051,x19052)+E(f884(x19053,x19054,x19055,x19056,x19051),f884(x19053,x19054,x19055,x19056,x19052)) % 186.59/186.37 [1906]~E(x19061,x19062)+E(f683(x19061,x19063,x19064),f683(x19062,x19063,x19064)) % 186.59/186.37 [1907]~E(x19071,x19072)+E(f683(x19073,x19071,x19074),f683(x19073,x19072,x19074)) % 186.59/186.37 [1908]~E(x19081,x19082)+E(f683(x19083,x19084,x19081),f683(x19083,x19084,x19082)) % 186.59/186.37 [1909]~E(x19091,x19092)+E(f735(x19091,x19093,x19094,x19095),f735(x19092,x19093,x19094,x19095)) % 186.59/186.37 [1910]~E(x19101,x19102)+E(f735(x19103,x19101,x19104,x19105),f735(x19103,x19102,x19104,x19105)) % 186.59/186.37 [1911]~E(x19111,x19112)+E(f735(x19113,x19114,x19111,x19115),f735(x19113,x19114,x19112,x19115)) % 186.59/186.37 [1912]~E(x19121,x19122)+E(f735(x19123,x19124,x19125,x19121),f735(x19123,x19124,x19125,x19122)) % 186.59/186.37 [1913]~E(x19131,x19132)+E(f621(x19131,x19133),f621(x19132,x19133)) % 186.59/186.37 [1914]~E(x19141,x19142)+E(f621(x19143,x19141),f621(x19143,x19142)) % 186.59/186.37 [1915]~E(x19151,x19152)+E(f762(x19151,x19153,x19154),f762(x19152,x19153,x19154)) % 186.59/186.37 [1916]~E(x19161,x19162)+E(f762(x19163,x19161,x19164),f762(x19163,x19162,x19164)) % 186.59/186.37 [1917]~E(x19171,x19172)+E(f762(x19173,x19174,x19171),f762(x19173,x19174,x19172)) % 186.59/186.37 [1918]~E(x19181,x19182)+E(f739(x19181,x19183,x19184,x19185,x19186,x19187,x19188,x19189),f739(x19182,x19183,x19184,x19185,x19186,x19187,x19188,x19189)) % 186.59/186.37 [1919]~E(x19191,x19192)+E(f739(x19193,x19191,x19194,x19195,x19196,x19197,x19198,x19199),f739(x19193,x19192,x19194,x19195,x19196,x19197,x19198,x19199)) % 186.59/186.37 [1920]~E(x19201,x19202)+E(f739(x19203,x19204,x19201,x19205,x19206,x19207,x19208,x19209),f739(x19203,x19204,x19202,x19205,x19206,x19207,x19208,x19209)) % 186.59/186.37 [1921]~E(x19211,x19212)+E(f739(x19213,x19214,x19215,x19211,x19216,x19217,x19218,x19219),f739(x19213,x19214,x19215,x19212,x19216,x19217,x19218,x19219)) % 186.59/186.37 [1922]~E(x19221,x19222)+E(f739(x19223,x19224,x19225,x19226,x19221,x19227,x19228,x19229),f739(x19223,x19224,x19225,x19226,x19222,x19227,x19228,x19229)) % 186.59/186.37 [1923]~E(x19231,x19232)+E(f739(x19233,x19234,x19235,x19236,x19237,x19231,x19238,x19239),f739(x19233,x19234,x19235,x19236,x19237,x19232,x19238,x19239)) % 186.59/186.37 [1924]~E(x19241,x19242)+E(f739(x19243,x19244,x19245,x19246,x19247,x19248,x19241,x19249),f739(x19243,x19244,x19245,x19246,x19247,x19248,x19242,x19249)) % 186.59/186.37 [1925]~E(x19251,x19252)+E(f739(x19253,x19254,x19255,x19256,x19257,x19258,x19259,x19251),f739(x19253,x19254,x19255,x19256,x19257,x19258,x19259,x19252)) % 186.59/186.37 [1926]~E(x19261,x19262)+E(f368(x19261,x19263,x19264),f368(x19262,x19263,x19264)) % 186.59/186.37 [1927]~E(x19271,x19272)+E(f368(x19273,x19271,x19274),f368(x19273,x19272,x19274)) % 186.59/186.37 [1928]~E(x19281,x19282)+E(f368(x19283,x19284,x19281),f368(x19283,x19284,x19282)) % 186.59/186.37 [1929]~E(x19291,x19292)+E(f359(x19291,x19293),f359(x19292,x19293)) % 186.59/186.37 [1930]~E(x19301,x19302)+E(f359(x19303,x19301),f359(x19303,x19302)) % 186.59/186.37 [1931]~E(x19311,x19312)+E(f915(x19311,x19313,x19314,x19315,x19316),f915(x19312,x19313,x19314,x19315,x19316)) % 186.59/186.37 [1932]~E(x19321,x19322)+E(f915(x19323,x19321,x19324,x19325,x19326),f915(x19323,x19322,x19324,x19325,x19326)) % 186.59/186.37 [1933]~E(x19331,x19332)+E(f915(x19333,x19334,x19331,x19335,x19336),f915(x19333,x19334,x19332,x19335,x19336)) % 186.59/186.37 [1934]~E(x19341,x19342)+E(f915(x19343,x19344,x19345,x19341,x19346),f915(x19343,x19344,x19345,x19342,x19346)) % 186.59/186.37 [1935]~E(x19351,x19352)+E(f915(x19353,x19354,x19355,x19356,x19351),f915(x19353,x19354,x19355,x19356,x19352)) % 186.59/186.37 [1936]~E(x19361,x19362)+E(f656(x19361),f656(x19362)) % 186.59/186.37 [1937]~E(x19371,x19372)+E(f330(x19371,x19373,x19374,x19375,x19376),f330(x19372,x19373,x19374,x19375,x19376)) % 186.59/186.37 [1938]~E(x19381,x19382)+E(f330(x19383,x19381,x19384,x19385,x19386),f330(x19383,x19382,x19384,x19385,x19386)) % 186.59/186.37 [1939]~E(x19391,x19392)+E(f330(x19393,x19394,x19391,x19395,x19396),f330(x19393,x19394,x19392,x19395,x19396)) % 186.59/186.37 [1940]~E(x19401,x19402)+E(f330(x19403,x19404,x19405,x19401,x19406),f330(x19403,x19404,x19405,x19402,x19406)) % 186.59/186.37 [1941]~E(x19411,x19412)+E(f330(x19413,x19414,x19415,x19416,x19411),f330(x19413,x19414,x19415,x19416,x19412)) % 186.59/186.37 [1942]~E(x19421,x19422)+E(f289(x19421,x19423,x19424),f289(x19422,x19423,x19424)) % 186.59/186.37 [1943]~E(x19431,x19432)+E(f289(x19433,x19431,x19434),f289(x19433,x19432,x19434)) % 186.59/186.37 [1944]~E(x19441,x19442)+E(f289(x19443,x19444,x19441),f289(x19443,x19444,x19442)) % 186.59/186.37 [1945]~E(x19451,x19452)+E(f789(x19451,x19453),f789(x19452,x19453)) % 186.59/186.37 [1946]~E(x19461,x19462)+E(f789(x19463,x19461),f789(x19463,x19462)) % 186.59/186.37 [1947]~E(x19471,x19472)+E(f903(x19471,x19473),f903(x19472,x19473)) % 186.59/186.37 [1948]~E(x19481,x19482)+E(f903(x19483,x19481),f903(x19483,x19482)) % 186.59/186.37 [1949]~E(x19491,x19492)+E(f526(x19491,x19493,x19494,x19495,x19496),f526(x19492,x19493,x19494,x19495,x19496)) % 186.59/186.37 [1950]~E(x19501,x19502)+E(f526(x19503,x19501,x19504,x19505,x19506),f526(x19503,x19502,x19504,x19505,x19506)) % 186.59/186.37 [1951]~E(x19511,x19512)+E(f526(x19513,x19514,x19511,x19515,x19516),f526(x19513,x19514,x19512,x19515,x19516)) % 186.59/186.37 [1952]~E(x19521,x19522)+E(f526(x19523,x19524,x19525,x19521,x19526),f526(x19523,x19524,x19525,x19522,x19526)) % 186.59/186.37 [1953]~E(x19531,x19532)+E(f526(x19533,x19534,x19535,x19536,x19531),f526(x19533,x19534,x19535,x19536,x19532)) % 186.59/186.37 [1954]~E(x19541,x19542)+E(f507(x19541,x19543,x19544),f507(x19542,x19543,x19544)) % 186.59/186.37 [1955]~E(x19551,x19552)+E(f507(x19553,x19551,x19554),f507(x19553,x19552,x19554)) % 186.59/186.37 [1956]~E(x19561,x19562)+E(f507(x19563,x19564,x19561),f507(x19563,x19564,x19562)) % 186.59/186.37 [1957]~E(x19571,x19572)+E(f657(x19571,x19573,x19574),f657(x19572,x19573,x19574)) % 186.59/186.37 [1958]~E(x19581,x19582)+E(f657(x19583,x19581,x19584),f657(x19583,x19582,x19584)) % 186.59/186.37 [1959]~E(x19591,x19592)+E(f657(x19593,x19594,x19591),f657(x19593,x19594,x19592)) % 186.59/186.37 [1960]~E(x19601,x19602)+E(f355(x19601,x19603,x19604,x19605,x19606),f355(x19602,x19603,x19604,x19605,x19606)) % 186.59/186.37 [1961]~E(x19611,x19612)+E(f355(x19613,x19611,x19614,x19615,x19616),f355(x19613,x19612,x19614,x19615,x19616)) % 186.59/186.37 [1962]~E(x19621,x19622)+E(f355(x19623,x19624,x19621,x19625,x19626),f355(x19623,x19624,x19622,x19625,x19626)) % 186.59/186.37 [1963]~E(x19631,x19632)+E(f355(x19633,x19634,x19635,x19631,x19636),f355(x19633,x19634,x19635,x19632,x19636)) % 186.59/186.37 [1964]~E(x19641,x19642)+E(f355(x19643,x19644,x19645,x19646,x19641),f355(x19643,x19644,x19645,x19646,x19642)) % 186.59/186.37 [1965]~E(x19651,x19652)+E(f892(x19651,x19653,x19654),f892(x19652,x19653,x19654)) % 186.59/186.37 [1966]~E(x19661,x19662)+E(f892(x19663,x19661,x19664),f892(x19663,x19662,x19664)) % 186.59/186.37 [1967]~E(x19671,x19672)+E(f892(x19673,x19674,x19671),f892(x19673,x19674,x19672)) % 186.59/186.37 [1968]~E(x19681,x19682)+E(f266(x19681,x19683,x19684),f266(x19682,x19683,x19684)) % 186.59/186.37 [1969]~E(x19691,x19692)+E(f266(x19693,x19691,x19694),f266(x19693,x19692,x19694)) % 186.59/186.37 [1970]~E(x19701,x19702)+E(f266(x19703,x19704,x19701),f266(x19703,x19704,x19702)) % 186.59/186.37 [1971]~E(x19711,x19712)+E(f595(x19711,x19713,x19714),f595(x19712,x19713,x19714)) % 186.59/186.37 [1972]~E(x19721,x19722)+E(f595(x19723,x19721,x19724),f595(x19723,x19722,x19724)) % 186.59/186.37 [1973]~E(x19731,x19732)+E(f595(x19733,x19734,x19731),f595(x19733,x19734,x19732)) % 186.59/186.37 [1974]~E(x19741,x19742)+E(f490(x19741,x19743,x19744),f490(x19742,x19743,x19744)) % 186.59/186.37 [1975]~E(x19751,x19752)+E(f490(x19753,x19751,x19754),f490(x19753,x19752,x19754)) % 186.59/186.37 [1976]~E(x19761,x19762)+E(f490(x19763,x19764,x19761),f490(x19763,x19764,x19762)) % 186.59/186.37 [1977]~E(x19771,x19772)+E(f615(x19771,x19773,x19774,x19775),f615(x19772,x19773,x19774,x19775)) % 186.59/186.37 [1978]~E(x19781,x19782)+E(f615(x19783,x19781,x19784,x19785),f615(x19783,x19782,x19784,x19785)) % 186.59/186.37 [1979]~E(x19791,x19792)+E(f615(x19793,x19794,x19791,x19795),f615(x19793,x19794,x19792,x19795)) % 186.59/186.37 [1980]~E(x19801,x19802)+E(f615(x19803,x19804,x19805,x19801),f615(x19803,x19804,x19805,x19802)) % 186.59/186.37 [1981]~E(x19811,x19812)+E(f253(x19811,x19813,x19814,x19815,x19816),f253(x19812,x19813,x19814,x19815,x19816)) % 186.59/186.37 [1982]~E(x19821,x19822)+E(f253(x19823,x19821,x19824,x19825,x19826),f253(x19823,x19822,x19824,x19825,x19826)) % 186.59/186.37 [1983]~E(x19831,x19832)+E(f253(x19833,x19834,x19831,x19835,x19836),f253(x19833,x19834,x19832,x19835,x19836)) % 186.59/186.37 [1984]~E(x19841,x19842)+E(f253(x19843,x19844,x19845,x19841,x19846),f253(x19843,x19844,x19845,x19842,x19846)) % 186.59/186.37 [1985]~E(x19851,x19852)+E(f253(x19853,x19854,x19855,x19856,x19851),f253(x19853,x19854,x19855,x19856,x19852)) % 186.59/186.37 [1986]~E(x19861,x19862)+E(f574(x19861,x19863,x19864,x19865,x19866,x19867),f574(x19862,x19863,x19864,x19865,x19866,x19867)) % 186.59/186.37 [1987]~E(x19871,x19872)+E(f574(x19873,x19871,x19874,x19875,x19876,x19877),f574(x19873,x19872,x19874,x19875,x19876,x19877)) % 186.59/186.37 [1988]~E(x19881,x19882)+E(f574(x19883,x19884,x19881,x19885,x19886,x19887),f574(x19883,x19884,x19882,x19885,x19886,x19887)) % 186.59/186.37 [1989]~E(x19891,x19892)+E(f574(x19893,x19894,x19895,x19891,x19896,x19897),f574(x19893,x19894,x19895,x19892,x19896,x19897)) % 186.59/186.37 [1990]~E(x19901,x19902)+E(f574(x19903,x19904,x19905,x19906,x19901,x19907),f574(x19903,x19904,x19905,x19906,x19902,x19907)) % 186.59/186.37 [1991]~E(x19911,x19912)+E(f574(x19913,x19914,x19915,x19916,x19917,x19911),f574(x19913,x19914,x19915,x19916,x19917,x19912)) % 186.59/186.37 [1992]~E(x19921,x19922)+E(f362(x19921,x19923),f362(x19922,x19923)) % 186.59/186.37 [1993]~E(x19931,x19932)+E(f362(x19933,x19931),f362(x19933,x19932)) % 186.59/186.37 [1994]~E(x19941,x19942)+E(f542(x19941,x19943),f542(x19942,x19943)) % 186.59/186.37 [1995]~E(x19951,x19952)+E(f542(x19953,x19951),f542(x19953,x19952)) % 186.59/186.37 [1996]~E(x19961,x19962)+E(f270(x19961),f270(x19962)) % 186.59/186.37 [1997]~E(x19971,x19972)+E(f195(x19971,x19973),f195(x19972,x19973)) % 186.59/186.37 [1998]~E(x19981,x19982)+E(f195(x19983,x19981),f195(x19983,x19982)) % 186.59/186.37 [1999]~E(x19991,x19992)+E(f649(x19991,x19993),f649(x19992,x19993)) % 186.59/186.37 [2000]~E(x20001,x20002)+E(f649(x20003,x20001),f649(x20003,x20002)) % 186.59/186.37 [2001]~E(x20011,x20012)+E(f240(x20011,x20013),f240(x20012,x20013)) % 186.59/186.37 [2002]~E(x20021,x20022)+E(f240(x20023,x20021),f240(x20023,x20022)) % 186.59/186.37 [2003]~E(x20031,x20032)+E(f388(x20031,x20033),f388(x20032,x20033)) % 186.59/186.37 [2004]~E(x20041,x20042)+E(f388(x20043,x20041),f388(x20043,x20042)) % 186.59/186.37 [2005]~E(x20051,x20052)+E(f569(x20051,x20053),f569(x20052,x20053)) % 186.59/186.37 [2006]~E(x20061,x20062)+E(f569(x20063,x20061),f569(x20063,x20062)) % 186.59/186.37 [2007]~E(x20071,x20072)+E(f23(x20071,x20073),f23(x20072,x20073)) % 186.59/186.37 [2008]~E(x20081,x20082)+E(f23(x20083,x20081),f23(x20083,x20082)) % 186.59/186.37 [2009]~E(x20091,x20092)+E(f878(x20091,x20093,x20094,x20095),f878(x20092,x20093,x20094,x20095)) % 186.59/186.37 [2010]~E(x20101,x20102)+E(f878(x20103,x20101,x20104,x20105),f878(x20103,x20102,x20104,x20105)) % 186.59/186.37 [2011]~E(x20111,x20112)+E(f878(x20113,x20114,x20111,x20115),f878(x20113,x20114,x20112,x20115)) % 186.59/186.37 [2012]~E(x20121,x20122)+E(f878(x20123,x20124,x20125,x20121),f878(x20123,x20124,x20125,x20122)) % 186.59/186.37 [2013]~E(x20131,x20132)+E(f782(x20131,x20133,x20134,x20135),f782(x20132,x20133,x20134,x20135)) % 186.59/186.37 [2014]~E(x20141,x20142)+E(f782(x20143,x20141,x20144,x20145),f782(x20143,x20142,x20144,x20145)) % 186.59/186.37 [2015]~E(x20151,x20152)+E(f782(x20153,x20154,x20151,x20155),f782(x20153,x20154,x20152,x20155)) % 186.59/186.37 [2016]~E(x20161,x20162)+E(f782(x20163,x20164,x20165,x20161),f782(x20163,x20164,x20165,x20162)) % 186.59/186.37 [2017]~E(x20171,x20172)+E(f810(x20171,x20173),f810(x20172,x20173)) % 186.59/186.37 [2018]~E(x20181,x20182)+E(f810(x20183,x20181),f810(x20183,x20182)) % 186.59/186.37 [2019]~E(x20191,x20192)+E(f337(x20191,x20193,x20194,x20195),f337(x20192,x20193,x20194,x20195)) % 186.59/186.37 [2020]~E(x20201,x20202)+E(f337(x20203,x20201,x20204,x20205),f337(x20203,x20202,x20204,x20205)) % 186.59/186.37 [2021]~E(x20211,x20212)+E(f337(x20213,x20214,x20211,x20215),f337(x20213,x20214,x20212,x20215)) % 186.59/186.37 [2022]~E(x20221,x20222)+E(f337(x20223,x20224,x20225,x20221),f337(x20223,x20224,x20225,x20222)) % 186.59/186.37 [2023]~E(x20231,x20232)+E(f445(x20231,x20233,x20234,x20235),f445(x20232,x20233,x20234,x20235)) % 186.59/186.37 [2024]~E(x20241,x20242)+E(f445(x20243,x20241,x20244,x20245),f445(x20243,x20242,x20244,x20245)) % 186.59/186.37 [2025]~E(x20251,x20252)+E(f445(x20253,x20254,x20251,x20255),f445(x20253,x20254,x20252,x20255)) % 186.59/186.37 [2026]~E(x20261,x20262)+E(f445(x20263,x20264,x20265,x20261),f445(x20263,x20264,x20265,x20262)) % 186.59/186.37 [2027]~E(x20271,x20272)+E(f251(x20271,x20273,x20274,x20275),f251(x20272,x20273,x20274,x20275)) % 186.59/186.37 [2028]~E(x20281,x20282)+E(f251(x20283,x20281,x20284,x20285),f251(x20283,x20282,x20284,x20285)) % 186.59/186.37 [2029]~E(x20291,x20292)+E(f251(x20293,x20294,x20291,x20295),f251(x20293,x20294,x20292,x20295)) % 186.59/186.37 [2030]~E(x20301,x20302)+E(f251(x20303,x20304,x20305,x20301),f251(x20303,x20304,x20305,x20302)) % 186.59/186.37 [2031]~E(x20311,x20312)+E(f855(x20311,x20313,x20314,x20315,x20316,x20317,x20318,x20319),f855(x20312,x20313,x20314,x20315,x20316,x20317,x20318,x20319)) % 186.59/186.37 [2032]~E(x20321,x20322)+E(f855(x20323,x20321,x20324,x20325,x20326,x20327,x20328,x20329),f855(x20323,x20322,x20324,x20325,x20326,x20327,x20328,x20329)) % 186.59/186.37 [2033]~E(x20331,x20332)+E(f855(x20333,x20334,x20331,x20335,x20336,x20337,x20338,x20339),f855(x20333,x20334,x20332,x20335,x20336,x20337,x20338,x20339)) % 186.59/186.37 [2034]~E(x20341,x20342)+E(f855(x20343,x20344,x20345,x20341,x20346,x20347,x20348,x20349),f855(x20343,x20344,x20345,x20342,x20346,x20347,x20348,x20349)) % 186.59/186.37 [2035]~E(x20351,x20352)+E(f855(x20353,x20354,x20355,x20356,x20351,x20357,x20358,x20359),f855(x20353,x20354,x20355,x20356,x20352,x20357,x20358,x20359)) % 186.59/186.37 [2036]~E(x20361,x20362)+E(f855(x20363,x20364,x20365,x20366,x20367,x20361,x20368,x20369),f855(x20363,x20364,x20365,x20366,x20367,x20362,x20368,x20369)) % 186.59/186.37 [2037]~E(x20371,x20372)+E(f855(x20373,x20374,x20375,x20376,x20377,x20378,x20371,x20379),f855(x20373,x20374,x20375,x20376,x20377,x20378,x20372,x20379)) % 186.59/186.37 [2038]~E(x20381,x20382)+E(f855(x20383,x20384,x20385,x20386,x20387,x20388,x20389,x20381),f855(x20383,x20384,x20385,x20386,x20387,x20388,x20389,x20382)) % 186.59/186.37 [2039]~E(x20391,x20392)+E(f264(x20391,x20393),f264(x20392,x20393)) % 186.59/186.37 [2040]~E(x20401,x20402)+E(f264(x20403,x20401),f264(x20403,x20402)) % 186.59/186.37 [2041]~E(x20411,x20412)+E(f384(x20411,x20413,x20414,x20415,x20416,x20417),f384(x20412,x20413,x20414,x20415,x20416,x20417)) % 186.59/186.37 [2042]~E(x20421,x20422)+E(f384(x20423,x20421,x20424,x20425,x20426,x20427),f384(x20423,x20422,x20424,x20425,x20426,x20427)) % 186.59/186.37 [2043]~E(x20431,x20432)+E(f384(x20433,x20434,x20431,x20435,x20436,x20437),f384(x20433,x20434,x20432,x20435,x20436,x20437)) % 186.59/186.37 [2044]~E(x20441,x20442)+E(f384(x20443,x20444,x20445,x20441,x20446,x20447),f384(x20443,x20444,x20445,x20442,x20446,x20447)) % 186.59/186.37 [2045]~E(x20451,x20452)+E(f384(x20453,x20454,x20455,x20456,x20451,x20457),f384(x20453,x20454,x20455,x20456,x20452,x20457)) % 186.59/186.37 [2046]~E(x20461,x20462)+E(f384(x20463,x20464,x20465,x20466,x20467,x20461),f384(x20463,x20464,x20465,x20466,x20467,x20462)) % 186.59/186.37 [2047]~E(x20471,x20472)+E(f461(x20471,x20473,x20474),f461(x20472,x20473,x20474)) % 186.59/186.37 [2048]~E(x20481,x20482)+E(f461(x20483,x20481,x20484),f461(x20483,x20482,x20484)) % 186.59/186.37 [2049]~E(x20491,x20492)+E(f461(x20493,x20494,x20491),f461(x20493,x20494,x20492)) % 186.59/186.37 [2050]~E(x20501,x20502)+E(f541(x20501,x20503,x20504,x20505),f541(x20502,x20503,x20504,x20505)) % 186.59/186.37 [2051]~E(x20511,x20512)+E(f541(x20513,x20511,x20514,x20515),f541(x20513,x20512,x20514,x20515)) % 186.59/186.37 [2052]~E(x20521,x20522)+E(f541(x20523,x20524,x20521,x20525),f541(x20523,x20524,x20522,x20525)) % 186.59/186.37 [2053]~E(x20531,x20532)+E(f541(x20533,x20534,x20535,x20531),f541(x20533,x20534,x20535,x20532)) % 186.59/186.37 [2054]~E(x20541,x20542)+E(f801(x20541,x20543,x20544),f801(x20542,x20543,x20544)) % 186.59/186.37 [2055]~E(x20551,x20552)+E(f801(x20553,x20551,x20554),f801(x20553,x20552,x20554)) % 186.59/186.37 [2056]~E(x20561,x20562)+E(f801(x20563,x20564,x20561),f801(x20563,x20564,x20562)) % 186.59/186.37 [2057]~E(x20571,x20572)+E(f498(x20571,x20573,x20574),f498(x20572,x20573,x20574)) % 186.59/186.37 [2058]~E(x20581,x20582)+E(f498(x20583,x20581,x20584),f498(x20583,x20582,x20584)) % 186.59/186.37 [2059]~E(x20591,x20592)+E(f498(x20593,x20594,x20591),f498(x20593,x20594,x20592)) % 186.59/186.37 [2060]~E(x20601,x20602)+E(f546(x20601,x20603,x20604),f546(x20602,x20603,x20604)) % 186.59/186.37 [2061]~E(x20611,x20612)+E(f546(x20613,x20611,x20614),f546(x20613,x20612,x20614)) % 186.59/186.37 [2062]~E(x20621,x20622)+E(f546(x20623,x20624,x20621),f546(x20623,x20624,x20622)) % 186.59/186.37 [2063]~E(x20631,x20632)+E(f779(x20631,x20633,x20634),f779(x20632,x20633,x20634)) % 186.59/186.37 [2064]~E(x20641,x20642)+E(f779(x20643,x20641,x20644),f779(x20643,x20642,x20644)) % 186.59/186.37 [2065]~E(x20651,x20652)+E(f779(x20653,x20654,x20651),f779(x20653,x20654,x20652)) % 186.59/186.37 [2066]~E(x20661,x20662)+E(f577(x20661,x20663,x20664,x20665,x20666),f577(x20662,x20663,x20664,x20665,x20666)) % 186.59/186.37 [2067]~E(x20671,x20672)+E(f577(x20673,x20671,x20674,x20675,x20676),f577(x20673,x20672,x20674,x20675,x20676)) % 186.59/186.37 [2068]~E(x20681,x20682)+E(f577(x20683,x20684,x20681,x20685,x20686),f577(x20683,x20684,x20682,x20685,x20686)) % 186.59/186.37 [2069]~E(x20691,x20692)+E(f577(x20693,x20694,x20695,x20691,x20696),f577(x20693,x20694,x20695,x20692,x20696)) % 186.59/186.37 [2070]~E(x20701,x20702)+E(f577(x20703,x20704,x20705,x20706,x20701),f577(x20703,x20704,x20705,x20706,x20702)) % 186.59/186.37 [2071]~E(x20711,x20712)+E(f767(x20711,x20713,x20714),f767(x20712,x20713,x20714)) % 186.59/186.37 [2072]~E(x20721,x20722)+E(f767(x20723,x20721,x20724),f767(x20723,x20722,x20724)) % 186.59/186.37 [2073]~E(x20731,x20732)+E(f767(x20733,x20734,x20731),f767(x20733,x20734,x20732)) % 186.59/186.37 [2074]~E(x20741,x20742)+E(f725(x20741,x20743,x20744),f725(x20742,x20743,x20744)) % 186.59/186.37 [2075]~E(x20751,x20752)+E(f725(x20753,x20751,x20754),f725(x20753,x20752,x20754)) % 186.59/186.37 [2076]~E(x20761,x20762)+E(f725(x20763,x20764,x20761),f725(x20763,x20764,x20762)) % 186.59/186.37 [2077]~E(x20771,x20772)+E(f724(x20771,x20773,x20774),f724(x20772,x20773,x20774)) % 186.59/186.37 [2078]~E(x20781,x20782)+E(f724(x20783,x20781,x20784),f724(x20783,x20782,x20784)) % 186.59/186.37 [2079]~E(x20791,x20792)+E(f724(x20793,x20794,x20791),f724(x20793,x20794,x20792)) % 186.59/186.37 [2080]~E(x20801,x20802)+E(f423(x20801),f423(x20802)) % 186.59/186.37 [2081]~E(x20811,x20812)+E(f189(x20811,x20813,x20814,x20815),f189(x20812,x20813,x20814,x20815)) % 186.59/186.37 [2082]~E(x20821,x20822)+E(f189(x20823,x20821,x20824,x20825),f189(x20823,x20822,x20824,x20825)) % 186.59/186.37 [2083]~E(x20831,x20832)+E(f189(x20833,x20834,x20831,x20835),f189(x20833,x20834,x20832,x20835)) % 186.59/186.37 [2084]~E(x20841,x20842)+E(f189(x20843,x20844,x20845,x20841),f189(x20843,x20844,x20845,x20842)) % 186.59/186.37 [2085]~E(x20851,x20852)+E(f814(x20851),f814(x20852)) % 186.59/186.37 [2086]~E(x20861,x20862)+E(f631(x20861,x20863,x20864),f631(x20862,x20863,x20864)) % 186.59/186.37 [2087]~E(x20871,x20872)+E(f631(x20873,x20871,x20874),f631(x20873,x20872,x20874)) % 186.59/186.37 [2088]~E(x20881,x20882)+E(f631(x20883,x20884,x20881),f631(x20883,x20884,x20882)) % 186.59/186.37 [2089]~E(x20891,x20892)+E(f750(x20891,x20893,x20894,x20895,x20896),f750(x20892,x20893,x20894,x20895,x20896)) % 186.59/186.37 [2090]~E(x20901,x20902)+E(f750(x20903,x20901,x20904,x20905,x20906),f750(x20903,x20902,x20904,x20905,x20906)) % 186.59/186.37 [2091]~E(x20911,x20912)+E(f750(x20913,x20914,x20911,x20915,x20916),f750(x20913,x20914,x20912,x20915,x20916)) % 186.59/186.37 [2092]~E(x20921,x20922)+E(f750(x20923,x20924,x20925,x20921,x20926),f750(x20923,x20924,x20925,x20922,x20926)) % 186.59/186.37 [2093]~E(x20931,x20932)+E(f750(x20933,x20934,x20935,x20936,x20931),f750(x20933,x20934,x20935,x20936,x20932)) % 186.59/186.37 [2094]~E(x20941,x20942)+E(f838(x20941,x20943,x20944,x20945,x20946),f838(x20942,x20943,x20944,x20945,x20946)) % 186.59/186.37 [2095]~E(x20951,x20952)+E(f838(x20953,x20951,x20954,x20955,x20956),f838(x20953,x20952,x20954,x20955,x20956)) % 186.59/186.37 [2096]~E(x20961,x20962)+E(f838(x20963,x20964,x20961,x20965,x20966),f838(x20963,x20964,x20962,x20965,x20966)) % 186.59/186.37 [2097]~E(x20971,x20972)+E(f838(x20973,x20974,x20975,x20971,x20976),f838(x20973,x20974,x20975,x20972,x20976)) % 186.59/186.37 [2098]~E(x20981,x20982)+E(f838(x20983,x20984,x20985,x20986,x20981),f838(x20983,x20984,x20985,x20986,x20982)) % 186.59/186.37 [2099]~E(x20991,x20992)+E(f702(x20991,x20993),f702(x20992,x20993)) % 186.59/186.37 [2100]~E(x21001,x21002)+E(f702(x21003,x21001),f702(x21003,x21002)) % 186.59/186.37 [2101]~E(x21011,x21012)+E(f433(x21011,x21013,x21014),f433(x21012,x21013,x21014)) % 186.59/186.37 [2102]~E(x21021,x21022)+E(f433(x21023,x21021,x21024),f433(x21023,x21022,x21024)) % 186.59/186.37 [2103]~E(x21031,x21032)+E(f433(x21033,x21034,x21031),f433(x21033,x21034,x21032)) % 186.59/186.37 [2104]~E(x21041,x21042)+E(f911(x21041,x21043,x21044,x21045,x21046,x21047,x21048,x21049),f911(x21042,x21043,x21044,x21045,x21046,x21047,x21048,x21049)) % 186.59/186.37 [2105]~E(x21051,x21052)+E(f911(x21053,x21051,x21054,x21055,x21056,x21057,x21058,x21059),f911(x21053,x21052,x21054,x21055,x21056,x21057,x21058,x21059)) % 186.59/186.37 [2106]~E(x21061,x21062)+E(f911(x21063,x21064,x21061,x21065,x21066,x21067,x21068,x21069),f911(x21063,x21064,x21062,x21065,x21066,x21067,x21068,x21069)) % 186.59/186.37 [2107]~E(x21071,x21072)+E(f911(x21073,x21074,x21075,x21071,x21076,x21077,x21078,x21079),f911(x21073,x21074,x21075,x21072,x21076,x21077,x21078,x21079)) % 186.59/186.37 [2108]~E(x21081,x21082)+E(f911(x21083,x21084,x21085,x21086,x21081,x21087,x21088,x21089),f911(x21083,x21084,x21085,x21086,x21082,x21087,x21088,x21089)) % 186.59/186.37 [2109]~E(x21091,x21092)+E(f911(x21093,x21094,x21095,x21096,x21097,x21091,x21098,x21099),f911(x21093,x21094,x21095,x21096,x21097,x21092,x21098,x21099)) % 186.59/186.37 [2110]~E(x21101,x21102)+E(f911(x21103,x21104,x21105,x21106,x21107,x21108,x21101,x21109),f911(x21103,x21104,x21105,x21106,x21107,x21108,x21102,x21109)) % 186.59/186.37 [2111]~E(x21111,x21112)+E(f911(x21113,x21114,x21115,x21116,x21117,x21118,x21119,x21111),f911(x21113,x21114,x21115,x21116,x21117,x21118,x21119,x21112)) % 186.59/186.37 [2112]~E(x21121,x21122)+E(f644(x21121,x21123,x21124,x21125,x21126),f644(x21122,x21123,x21124,x21125,x21126)) % 186.59/186.37 [2113]~E(x21131,x21132)+E(f644(x21133,x21131,x21134,x21135,x21136),f644(x21133,x21132,x21134,x21135,x21136)) % 186.59/186.37 [2114]~E(x21141,x21142)+E(f644(x21143,x21144,x21141,x21145,x21146),f644(x21143,x21144,x21142,x21145,x21146)) % 186.59/186.37 [2115]~E(x21151,x21152)+E(f644(x21153,x21154,x21155,x21151,x21156),f644(x21153,x21154,x21155,x21152,x21156)) % 186.59/186.37 [2116]~E(x21161,x21162)+E(f644(x21163,x21164,x21165,x21166,x21161),f644(x21163,x21164,x21165,x21166,x21162)) % 186.59/186.37 [2117]~E(x21171,x21172)+E(f552(x21171,x21173,x21174,x21175),f552(x21172,x21173,x21174,x21175)) % 186.59/186.37 [2118]~E(x21181,x21182)+E(f552(x21183,x21181,x21184,x21185),f552(x21183,x21182,x21184,x21185)) % 186.59/186.37 [2119]~E(x21191,x21192)+E(f552(x21193,x21194,x21191,x21195),f552(x21193,x21194,x21192,x21195)) % 186.59/186.37 [2120]~E(x21201,x21202)+E(f552(x21203,x21204,x21205,x21201),f552(x21203,x21204,x21205,x21202)) % 186.59/186.37 [2121]~E(x21211,x21212)+E(f797(x21211,x21213),f797(x21212,x21213)) % 186.59/186.37 [2122]~E(x21221,x21222)+E(f797(x21223,x21221),f797(x21223,x21222)) % 186.59/186.37 [2123]~E(x21231,x21232)+E(f258(x21231,x21233),f258(x21232,x21233)) % 186.59/186.37 [2124]~E(x21241,x21242)+E(f258(x21243,x21241),f258(x21243,x21242)) % 186.59/186.37 [2125]~E(x21251,x21252)+E(f628(x21251,x21253,x21254,x21255),f628(x21252,x21253,x21254,x21255)) % 186.59/186.37 [2126]~E(x21261,x21262)+E(f628(x21263,x21261,x21264,x21265),f628(x21263,x21262,x21264,x21265)) % 186.59/186.37 [2127]~E(x21271,x21272)+E(f628(x21273,x21274,x21271,x21275),f628(x21273,x21274,x21272,x21275)) % 186.59/186.37 [2128]~E(x21281,x21282)+E(f628(x21283,x21284,x21285,x21281),f628(x21283,x21284,x21285,x21282)) % 186.59/186.37 [2129]~E(x21291,x21292)+E(f848(x21291,x21293,x21294,x21295,x21296,x21297),f848(x21292,x21293,x21294,x21295,x21296,x21297)) % 186.59/186.37 [2130]~E(x21301,x21302)+E(f848(x21303,x21301,x21304,x21305,x21306,x21307),f848(x21303,x21302,x21304,x21305,x21306,x21307)) % 186.59/186.37 [2131]~E(x21311,x21312)+E(f848(x21313,x21314,x21311,x21315,x21316,x21317),f848(x21313,x21314,x21312,x21315,x21316,x21317)) % 186.59/186.37 [2132]~E(x21321,x21322)+E(f848(x21323,x21324,x21325,x21321,x21326,x21327),f848(x21323,x21324,x21325,x21322,x21326,x21327)) % 186.59/186.37 [2133]~E(x21331,x21332)+E(f848(x21333,x21334,x21335,x21336,x21331,x21337),f848(x21333,x21334,x21335,x21336,x21332,x21337)) % 186.59/186.37 [2134]~E(x21341,x21342)+E(f848(x21343,x21344,x21345,x21346,x21347,x21341),f848(x21343,x21344,x21345,x21346,x21347,x21342)) % 186.59/186.37 [2135]~E(x21351,x21352)+E(f479(x21351,x21353,x21354,x21355,x21356),f479(x21352,x21353,x21354,x21355,x21356)) % 186.59/186.37 [2136]~E(x21361,x21362)+E(f479(x21363,x21361,x21364,x21365,x21366),f479(x21363,x21362,x21364,x21365,x21366)) % 186.59/186.37 [2137]~E(x21371,x21372)+E(f479(x21373,x21374,x21371,x21375,x21376),f479(x21373,x21374,x21372,x21375,x21376)) % 186.59/186.37 [2138]~E(x21381,x21382)+E(f479(x21383,x21384,x21385,x21381,x21386),f479(x21383,x21384,x21385,x21382,x21386)) % 186.59/186.37 [2139]~E(x21391,x21392)+E(f479(x21393,x21394,x21395,x21396,x21391),f479(x21393,x21394,x21395,x21396,x21392)) % 186.59/186.37 [2140]~E(x21401,x21402)+E(f407(x21401,x21403,x21404),f407(x21402,x21403,x21404)) % 186.59/186.37 [2141]~E(x21411,x21412)+E(f407(x21413,x21411,x21414),f407(x21413,x21412,x21414)) % 186.59/186.37 [2142]~E(x21421,x21422)+E(f407(x21423,x21424,x21421),f407(x21423,x21424,x21422)) % 186.59/186.37 [2143]~E(x21431,x21432)+E(f669(x21431,x21433,x21434),f669(x21432,x21433,x21434)) % 186.59/186.37 [2144]~E(x21441,x21442)+E(f669(x21443,x21441,x21444),f669(x21443,x21442,x21444)) % 186.59/186.37 [2145]~E(x21451,x21452)+E(f669(x21453,x21454,x21451),f669(x21453,x21454,x21452)) % 186.59/186.37 [2146]~E(x21461,x21462)+E(f896(x21461,x21463,x21464),f896(x21462,x21463,x21464)) % 186.59/186.37 [2147]~E(x21471,x21472)+E(f896(x21473,x21471,x21474),f896(x21473,x21472,x21474)) % 186.59/186.37 [2148]~E(x21481,x21482)+E(f896(x21483,x21484,x21481),f896(x21483,x21484,x21482)) % 186.59/186.37 [2149]~E(x21491,x21492)+E(f788(x21491,x21493),f788(x21492,x21493)) % 186.59/186.37 [2150]~E(x21501,x21502)+E(f788(x21503,x21501),f788(x21503,x21502)) % 186.59/186.37 [2151]~E(x21511,x21512)+E(f381(x21511,x21513,x21514,x21515),f381(x21512,x21513,x21514,x21515)) % 186.59/186.37 [2152]~E(x21521,x21522)+E(f381(x21523,x21521,x21524,x21525),f381(x21523,x21522,x21524,x21525)) % 186.59/186.37 [2153]~E(x21531,x21532)+E(f381(x21533,x21534,x21531,x21535),f381(x21533,x21534,x21532,x21535)) % 186.59/186.37 [2154]~E(x21541,x21542)+E(f381(x21543,x21544,x21545,x21541),f381(x21543,x21544,x21545,x21542)) % 186.59/186.37 [2155]~E(x21551,x21552)+E(f794(x21551,x21553),f794(x21552,x21553)) % 186.59/186.37 [2156]~E(x21561,x21562)+E(f794(x21563,x21561),f794(x21563,x21562)) % 186.59/186.37 [2157]~E(x21571,x21572)+E(f209(x21571,x21573),f209(x21572,x21573)) % 186.59/186.37 [2158]~E(x21581,x21582)+E(f209(x21583,x21581),f209(x21583,x21582)) % 186.59/186.37 [2159]~E(x21591,x21592)+E(f802(x21591,x21593,x21594,x21595,x21596,x21597,x21598),f802(x21592,x21593,x21594,x21595,x21596,x21597,x21598)) % 186.59/186.37 [2160]~E(x21601,x21602)+E(f802(x21603,x21601,x21604,x21605,x21606,x21607,x21608),f802(x21603,x21602,x21604,x21605,x21606,x21607,x21608)) % 186.59/186.37 [2161]~E(x21611,x21612)+E(f802(x21613,x21614,x21611,x21615,x21616,x21617,x21618),f802(x21613,x21614,x21612,x21615,x21616,x21617,x21618)) % 186.59/186.37 [2162]~E(x21621,x21622)+E(f802(x21623,x21624,x21625,x21621,x21626,x21627,x21628),f802(x21623,x21624,x21625,x21622,x21626,x21627,x21628)) % 186.59/186.37 [2163]~E(x21631,x21632)+E(f802(x21633,x21634,x21635,x21636,x21631,x21637,x21638),f802(x21633,x21634,x21635,x21636,x21632,x21637,x21638)) % 186.59/186.37 [2164]~E(x21641,x21642)+E(f802(x21643,x21644,x21645,x21646,x21647,x21641,x21648),f802(x21643,x21644,x21645,x21646,x21647,x21642,x21648)) % 186.59/186.37 [2165]~E(x21651,x21652)+E(f802(x21653,x21654,x21655,x21656,x21657,x21658,x21651),f802(x21653,x21654,x21655,x21656,x21657,x21658,x21652)) % 186.59/186.37 [2166]~E(x21661,x21662)+E(f335(x21661,x21663,x21664),f335(x21662,x21663,x21664)) % 186.59/186.37 [2167]~E(x21671,x21672)+E(f335(x21673,x21671,x21674),f335(x21673,x21672,x21674)) % 186.59/186.37 [2168]~E(x21681,x21682)+E(f335(x21683,x21684,x21681),f335(x21683,x21684,x21682)) % 186.59/186.37 [2169]~E(x21691,x21692)+E(f426(x21691),f426(x21692)) % 186.59/186.37 [2170]~E(x21701,x21702)+E(f890(x21701,x21703),f890(x21702,x21703)) % 186.59/186.37 [2171]~E(x21711,x21712)+E(f890(x21713,x21711),f890(x21713,x21712)) % 186.59/186.37 [2172]~E(x21721,x21722)+E(f117(x21721),f117(x21722)) % 186.59/186.37 [2173]~E(x21731,x21732)+E(f380(x21731,x21733,x21734,x21735),f380(x21732,x21733,x21734,x21735)) % 186.59/186.37 [2174]~E(x21741,x21742)+E(f380(x21743,x21741,x21744,x21745),f380(x21743,x21742,x21744,x21745)) % 186.59/186.37 [2175]~E(x21751,x21752)+E(f380(x21753,x21754,x21751,x21755),f380(x21753,x21754,x21752,x21755)) % 186.59/186.37 [2176]~E(x21761,x21762)+E(f380(x21763,x21764,x21765,x21761),f380(x21763,x21764,x21765,x21762)) % 186.59/186.37 [2177]~E(x21771,x21772)+E(f760(x21771,x21773,x21774),f760(x21772,x21773,x21774)) % 186.59/186.37 [2178]~E(x21781,x21782)+E(f760(x21783,x21781,x21784),f760(x21783,x21782,x21784)) % 186.59/186.37 [2179]~E(x21791,x21792)+E(f760(x21793,x21794,x21791),f760(x21793,x21794,x21792)) % 186.59/186.37 [2180]~E(x21801,x21802)+E(f834(x21801,x21803,x21804,x21805),f834(x21802,x21803,x21804,x21805)) % 186.59/186.37 [2181]~E(x21811,x21812)+E(f834(x21813,x21811,x21814,x21815),f834(x21813,x21812,x21814,x21815)) % 186.59/186.37 [2182]~E(x21821,x21822)+E(f834(x21823,x21824,x21821,x21825),f834(x21823,x21824,x21822,x21825)) % 186.59/186.37 [2183]~E(x21831,x21832)+E(f834(x21833,x21834,x21835,x21831),f834(x21833,x21834,x21835,x21832)) % 186.59/186.37 [2184]~E(x21841,x21842)+E(f385(x21841,x21843,x21844),f385(x21842,x21843,x21844)) % 186.59/186.37 [2185]~E(x21851,x21852)+E(f385(x21853,x21851,x21854),f385(x21853,x21852,x21854)) % 186.59/186.37 [2186]~E(x21861,x21862)+E(f385(x21863,x21864,x21861),f385(x21863,x21864,x21862)) % 186.59/186.37 [2187]~E(x21871,x21872)+E(f634(x21871,x21873,x21874,x21875,x21876),f634(x21872,x21873,x21874,x21875,x21876)) % 186.59/186.37 [2188]~E(x21881,x21882)+E(f634(x21883,x21881,x21884,x21885,x21886),f634(x21883,x21882,x21884,x21885,x21886)) % 186.59/186.37 [2189]~E(x21891,x21892)+E(f634(x21893,x21894,x21891,x21895,x21896),f634(x21893,x21894,x21892,x21895,x21896)) % 186.59/186.37 [2190]~E(x21901,x21902)+E(f634(x21903,x21904,x21905,x21901,x21906),f634(x21903,x21904,x21905,x21902,x21906)) % 186.59/186.37 [2191]~E(x21911,x21912)+E(f634(x21913,x21914,x21915,x21916,x21911),f634(x21913,x21914,x21915,x21916,x21912)) % 186.59/186.37 [2192]~E(x21921,x21922)+E(f806(x21921),f806(x21922)) % 186.59/186.37 [2193]~E(x21931,x21932)+E(f136(x21931,x21933),f136(x21932,x21933)) % 186.59/186.37 [2194]~E(x21941,x21942)+E(f136(x21943,x21941),f136(x21943,x21942)) % 186.59/186.37 [2195]~E(x21951,x21952)+E(f375(x21951,x21953,x21954),f375(x21952,x21953,x21954)) % 186.59/186.37 [2196]~E(x21961,x21962)+E(f375(x21963,x21961,x21964),f375(x21963,x21962,x21964)) % 186.59/186.37 [2197]~E(x21971,x21972)+E(f375(x21973,x21974,x21971),f375(x21973,x21974,x21972)) % 186.59/186.37 [2198]~E(x21981,x21982)+E(f744(x21981,x21983,x21984),f744(x21982,x21983,x21984)) % 186.59/186.37 [2199]~E(x21991,x21992)+E(f744(x21993,x21991,x21994),f744(x21993,x21992,x21994)) % 186.59/186.37 [2200]~E(x22001,x22002)+E(f744(x22003,x22004,x22001),f744(x22003,x22004,x22002)) % 186.59/186.37 [2201]~E(x22011,x22012)+E(f465(x22011,x22013,x22014),f465(x22012,x22013,x22014)) % 186.59/186.37 [2202]~E(x22021,x22022)+E(f465(x22023,x22021,x22024),f465(x22023,x22022,x22024)) % 186.59/186.37 [2203]~E(x22031,x22032)+E(f465(x22033,x22034,x22031),f465(x22033,x22034,x22032)) % 186.59/186.37 [2204]~E(x22041,x22042)+E(f340(x22041,x22043,x22044),f340(x22042,x22043,x22044)) % 186.59/186.37 [2205]~E(x22051,x22052)+E(f340(x22053,x22051,x22054),f340(x22053,x22052,x22054)) % 186.59/186.37 [2206]~E(x22061,x22062)+E(f340(x22063,x22064,x22061),f340(x22063,x22064,x22062)) % 186.59/186.37 [2207]~E(x22071,x22072)+E(f565(x22071,x22073,x22074,x22075),f565(x22072,x22073,x22074,x22075)) % 186.59/186.37 [2208]~E(x22081,x22082)+E(f565(x22083,x22081,x22084,x22085),f565(x22083,x22082,x22084,x22085)) % 186.59/186.37 [2209]~E(x22091,x22092)+E(f565(x22093,x22094,x22091,x22095),f565(x22093,x22094,x22092,x22095)) % 186.59/186.37 [2210]~E(x22101,x22102)+E(f565(x22103,x22104,x22105,x22101),f565(x22103,x22104,x22105,x22102)) % 186.59/186.37 [2211]~E(x22111,x22112)+E(f677(x22111,x22113),f677(x22112,x22113)) % 186.59/186.37 [2212]~E(x22121,x22122)+E(f677(x22123,x22121),f677(x22123,x22122)) % 186.59/186.37 [2213]~E(x22131,x22132)+E(f446(x22131,x22133,x22134,x22135),f446(x22132,x22133,x22134,x22135)) % 186.59/186.37 [2214]~E(x22141,x22142)+E(f446(x22143,x22141,x22144,x22145),f446(x22143,x22142,x22144,x22145)) % 186.59/186.37 [2215]~E(x22151,x22152)+E(f446(x22153,x22154,x22151,x22155),f446(x22153,x22154,x22152,x22155)) % 186.59/186.37 [2216]~E(x22161,x22162)+E(f446(x22163,x22164,x22165,x22161),f446(x22163,x22164,x22165,x22162)) % 186.59/186.37 [2217]~E(x22171,x22172)+E(f792(x22171),f792(x22172)) % 186.59/186.37 [2218]~E(x22181,x22182)+E(f769(x22181,x22183,x22184),f769(x22182,x22183,x22184)) % 186.59/186.37 [2219]~E(x22191,x22192)+E(f769(x22193,x22191,x22194),f769(x22193,x22192,x22194)) % 186.59/186.37 [2220]~E(x22201,x22202)+E(f769(x22203,x22204,x22201),f769(x22203,x22204,x22202)) % 186.59/186.37 [2221]~E(x22211,x22212)+E(f167(x22211,x22213,x22214),f167(x22212,x22213,x22214)) % 186.59/186.37 [2222]~E(x22221,x22222)+E(f167(x22223,x22221,x22224),f167(x22223,x22222,x22224)) % 186.59/186.37 [2223]~E(x22231,x22232)+E(f167(x22233,x22234,x22231),f167(x22233,x22234,x22232)) % 186.59/186.37 [2224]~E(x22241,x22242)+E(f818(x22241,x22243,x22244,x22245,x22246,x22247),f818(x22242,x22243,x22244,x22245,x22246,x22247)) % 186.59/186.37 [2225]~E(x22251,x22252)+E(f818(x22253,x22251,x22254,x22255,x22256,x22257),f818(x22253,x22252,x22254,x22255,x22256,x22257)) % 186.59/186.37 [2226]~E(x22261,x22262)+E(f818(x22263,x22264,x22261,x22265,x22266,x22267),f818(x22263,x22264,x22262,x22265,x22266,x22267)) % 186.59/186.37 [2227]~E(x22271,x22272)+E(f818(x22273,x22274,x22275,x22271,x22276,x22277),f818(x22273,x22274,x22275,x22272,x22276,x22277)) % 186.59/186.37 [2228]~E(x22281,x22282)+E(f818(x22283,x22284,x22285,x22286,x22281,x22287),f818(x22283,x22284,x22285,x22286,x22282,x22287)) % 186.59/186.37 [2229]~E(x22291,x22292)+E(f818(x22293,x22294,x22295,x22296,x22297,x22291),f818(x22293,x22294,x22295,x22296,x22297,x22292)) % 186.59/186.37 [2230]~E(x22301,x22302)+E(f283(x22301,x22303),f283(x22302,x22303)) % 186.59/186.37 [2231]~E(x22311,x22312)+E(f283(x22313,x22311),f283(x22313,x22312)) % 186.59/186.37 [2232]~E(x22321,x22322)+E(f684(x22321,x22323,x22324,x22325),f684(x22322,x22323,x22324,x22325)) % 186.59/186.37 [2233]~E(x22331,x22332)+E(f684(x22333,x22331,x22334,x22335),f684(x22333,x22332,x22334,x22335)) % 186.59/186.37 [2234]~E(x22341,x22342)+E(f684(x22343,x22344,x22341,x22345),f684(x22343,x22344,x22342,x22345)) % 186.59/186.37 [2235]~E(x22351,x22352)+E(f684(x22353,x22354,x22355,x22351),f684(x22353,x22354,x22355,x22352)) % 186.59/186.37 [2236]~E(x22361,x22362)+E(f525(x22361,x22363,x22364,x22365),f525(x22362,x22363,x22364,x22365)) % 186.59/186.37 [2237]~E(x22371,x22372)+E(f525(x22373,x22371,x22374,x22375),f525(x22373,x22372,x22374,x22375)) % 186.59/186.37 [2238]~E(x22381,x22382)+E(f525(x22383,x22384,x22381,x22385),f525(x22383,x22384,x22382,x22385)) % 186.59/186.37 [2239]~E(x22391,x22392)+E(f525(x22393,x22394,x22395,x22391),f525(x22393,x22394,x22395,x22392)) % 186.59/186.37 [2240]~E(x22401,x22402)+E(f110(x22401,x22403,x22404),f110(x22402,x22403,x22404)) % 186.59/186.37 [2241]~E(x22411,x22412)+E(f110(x22413,x22411,x22414),f110(x22413,x22412,x22414)) % 186.59/186.37 [2242]~E(x22421,x22422)+E(f110(x22423,x22424,x22421),f110(x22423,x22424,x22422)) % 186.59/186.37 [2243]~E(x22431,x22432)+E(f586(x22431,x22433,x22434,x22435,x22436,x22437),f586(x22432,x22433,x22434,x22435,x22436,x22437)) % 186.59/186.37 [2244]~E(x22441,x22442)+E(f586(x22443,x22441,x22444,x22445,x22446,x22447),f586(x22443,x22442,x22444,x22445,x22446,x22447)) % 186.59/186.37 [2245]~E(x22451,x22452)+E(f586(x22453,x22454,x22451,x22455,x22456,x22457),f586(x22453,x22454,x22452,x22455,x22456,x22457)) % 186.59/186.37 [2246]~E(x22461,x22462)+E(f586(x22463,x22464,x22465,x22461,x22466,x22467),f586(x22463,x22464,x22465,x22462,x22466,x22467)) % 186.59/186.37 [2247]~E(x22471,x22472)+E(f586(x22473,x22474,x22475,x22476,x22471,x22477),f586(x22473,x22474,x22475,x22476,x22472,x22477)) % 186.59/186.37 [2248]~E(x22481,x22482)+E(f586(x22483,x22484,x22485,x22486,x22487,x22481),f586(x22483,x22484,x22485,x22486,x22487,x22482)) % 186.59/186.37 [2249]~E(x22491,x22492)+E(f341(x22491,x22493,x22494,x22495),f341(x22492,x22493,x22494,x22495)) % 186.59/186.37 [2250]~E(x22501,x22502)+E(f341(x22503,x22501,x22504,x22505),f341(x22503,x22502,x22504,x22505)) % 186.59/186.37 [2251]~E(x22511,x22512)+E(f341(x22513,x22514,x22511,x22515),f341(x22513,x22514,x22512,x22515)) % 186.59/186.37 [2252]~E(x22521,x22522)+E(f341(x22523,x22524,x22525,x22521),f341(x22523,x22524,x22525,x22522)) % 186.59/186.37 [2253]~E(x22531,x22532)+E(f582(x22531,x22533,x22534),f582(x22532,x22533,x22534)) % 186.59/186.37 [2254]~E(x22541,x22542)+E(f582(x22543,x22541,x22544),f582(x22543,x22542,x22544)) % 186.59/186.37 [2255]~E(x22551,x22552)+E(f582(x22553,x22554,x22551),f582(x22553,x22554,x22552)) % 186.59/186.37 [2256]~E(x22561,x22562)+E(f721(x22561,x22563,x22564),f721(x22562,x22563,x22564)) % 186.59/186.37 [2257]~E(x22571,x22572)+E(f721(x22573,x22571,x22574),f721(x22573,x22572,x22574)) % 186.59/186.37 [2258]~E(x22581,x22582)+E(f721(x22583,x22584,x22581),f721(x22583,x22584,x22582)) % 186.59/186.37 [2259]~E(x22591,x22592)+E(f561(x22591,x22593),f561(x22592,x22593)) % 186.59/186.37 [2260]~E(x22601,x22602)+E(f561(x22603,x22601),f561(x22603,x22602)) % 186.59/186.37 [2261]~E(x22611,x22612)+E(f642(x22611,x22613,x22614,x22615,x22616),f642(x22612,x22613,x22614,x22615,x22616)) % 186.59/186.37 [2262]~E(x22621,x22622)+E(f642(x22623,x22621,x22624,x22625,x22626),f642(x22623,x22622,x22624,x22625,x22626)) % 186.59/186.37 [2263]~E(x22631,x22632)+E(f642(x22633,x22634,x22631,x22635,x22636),f642(x22633,x22634,x22632,x22635,x22636)) % 186.59/186.37 [2264]~E(x22641,x22642)+E(f642(x22643,x22644,x22645,x22641,x22646),f642(x22643,x22644,x22645,x22642,x22646)) % 186.59/186.37 [2265]~E(x22651,x22652)+E(f642(x22653,x22654,x22655,x22656,x22651),f642(x22653,x22654,x22655,x22656,x22652)) % 186.59/186.37 [2266]~E(x22661,x22662)+E(f822(x22661,x22663,x22664,x22665,x22666),f822(x22662,x22663,x22664,x22665,x22666)) % 186.59/186.37 [2267]~E(x22671,x22672)+E(f822(x22673,x22671,x22674,x22675,x22676),f822(x22673,x22672,x22674,x22675,x22676)) % 186.59/186.37 [2268]~E(x22681,x22682)+E(f822(x22683,x22684,x22681,x22685,x22686),f822(x22683,x22684,x22682,x22685,x22686)) % 186.59/186.37 [2269]~E(x22691,x22692)+E(f822(x22693,x22694,x22695,x22691,x22696),f822(x22693,x22694,x22695,x22692,x22696)) % 186.59/186.37 [2270]~E(x22701,x22702)+E(f822(x22703,x22704,x22705,x22706,x22701),f822(x22703,x22704,x22705,x22706,x22702)) % 186.59/186.37 [2271]~E(x22711,x22712)+E(f709(x22711,x22713,x22714),f709(x22712,x22713,x22714)) % 186.59/186.37 [2272]~E(x22721,x22722)+E(f709(x22723,x22721,x22724),f709(x22723,x22722,x22724)) % 186.59/186.37 [2273]~E(x22731,x22732)+E(f709(x22733,x22734,x22731),f709(x22733,x22734,x22732)) % 186.59/186.37 [2274]~E(x22741,x22742)+E(f422(x22741,x22743,x22744),f422(x22742,x22743,x22744)) % 186.59/186.37 [2275]~E(x22751,x22752)+E(f422(x22753,x22751,x22754),f422(x22753,x22752,x22754)) % 186.59/186.37 [2276]~E(x22761,x22762)+E(f422(x22763,x22764,x22761),f422(x22763,x22764,x22762)) % 186.59/186.37 [2277]~E(x22771,x22772)+E(f913(x22771),f913(x22772)) % 186.59/186.37 [2278]~E(x22781,x22782)+E(f555(x22781,x22783,x22784,x22785),f555(x22782,x22783,x22784,x22785)) % 186.59/186.37 [2279]~E(x22791,x22792)+E(f555(x22793,x22791,x22794,x22795),f555(x22793,x22792,x22794,x22795)) % 186.59/186.37 [2280]~E(x22801,x22802)+E(f555(x22803,x22804,x22801,x22805),f555(x22803,x22804,x22802,x22805)) % 186.59/186.37 [2281]~E(x22811,x22812)+E(f555(x22813,x22814,x22815,x22811),f555(x22813,x22814,x22815,x22812)) % 186.59/186.37 [2282]~E(x22821,x22822)+E(f496(x22821,x22823,x22824),f496(x22822,x22823,x22824)) % 186.59/186.37 [2283]~E(x22831,x22832)+E(f496(x22833,x22831,x22834),f496(x22833,x22832,x22834)) % 186.59/186.37 [2284]~E(x22841,x22842)+E(f496(x22843,x22844,x22841),f496(x22843,x22844,x22842)) % 186.59/186.37 [2285]~E(x22851,x22852)+E(f527(x22851),f527(x22852)) % 186.59/186.37 [2286]~E(x22861,x22862)+E(f238(x22861,x22863,x22864,x22865,x22866,x22867),f238(x22862,x22863,x22864,x22865,x22866,x22867)) % 186.59/186.37 [2287]~E(x22871,x22872)+E(f238(x22873,x22871,x22874,x22875,x22876,x22877),f238(x22873,x22872,x22874,x22875,x22876,x22877)) % 186.59/186.37 [2288]~E(x22881,x22882)+E(f238(x22883,x22884,x22881,x22885,x22886,x22887),f238(x22883,x22884,x22882,x22885,x22886,x22887)) % 186.59/186.37 [2289]~E(x22891,x22892)+E(f238(x22893,x22894,x22895,x22891,x22896,x22897),f238(x22893,x22894,x22895,x22892,x22896,x22897)) % 186.59/186.37 [2290]~E(x22901,x22902)+E(f238(x22903,x22904,x22905,x22906,x22901,x22907),f238(x22903,x22904,x22905,x22906,x22902,x22907)) % 186.59/186.37 [2291]~E(x22911,x22912)+E(f238(x22913,x22914,x22915,x22916,x22917,x22911),f238(x22913,x22914,x22915,x22916,x22917,x22912)) % 186.59/186.37 [2292]~E(x22921,x22922)+E(f115(x22921,x22923,x22924,x22925),f115(x22922,x22923,x22924,x22925)) % 186.59/186.37 [2293]~E(x22931,x22932)+E(f115(x22933,x22931,x22934,x22935),f115(x22933,x22932,x22934,x22935)) % 186.59/186.37 [2294]~E(x22941,x22942)+E(f115(x22943,x22944,x22941,x22945),f115(x22943,x22944,x22942,x22945)) % 186.59/186.37 [2295]~E(x22951,x22952)+E(f115(x22953,x22954,x22955,x22951),f115(x22953,x22954,x22955,x22952)) % 186.59/186.37 [2296]~E(x22961,x22962)+E(f906(x22961,x22963,x22964,x22965),f906(x22962,x22963,x22964,x22965)) % 186.59/186.37 [2297]~E(x22971,x22972)+E(f906(x22973,x22971,x22974,x22975),f906(x22973,x22972,x22974,x22975)) % 186.59/186.37 [2298]~E(x22981,x22982)+E(f906(x22983,x22984,x22981,x22985),f906(x22983,x22984,x22982,x22985)) % 186.59/186.37 [2299]~E(x22991,x22992)+E(f906(x22993,x22994,x22995,x22991),f906(x22993,x22994,x22995,x22992)) % 186.59/186.37 [2300]~E(x23001,x23002)+E(f464(x23001,x23003,x23004),f464(x23002,x23003,x23004)) % 186.59/186.37 [2301]~E(x23011,x23012)+E(f464(x23013,x23011,x23014),f464(x23013,x23012,x23014)) % 186.59/186.37 [2302]~E(x23021,x23022)+E(f464(x23023,x23024,x23021),f464(x23023,x23024,x23022)) % 186.59/186.37 [2303]~E(x23031,x23032)+E(f793(x23031,x23033,x23034),f793(x23032,x23033,x23034)) % 186.59/186.37 [2304]~E(x23041,x23042)+E(f793(x23043,x23041,x23044),f793(x23043,x23042,x23044)) % 186.59/186.37 [2305]~E(x23051,x23052)+E(f793(x23053,x23054,x23051),f793(x23053,x23054,x23052)) % 186.59/186.37 [2306]~E(x23061,x23062)+E(f520(x23061,x23063,x23064,x23065,x23066,x23067),f520(x23062,x23063,x23064,x23065,x23066,x23067)) % 186.59/186.37 [2307]~E(x23071,x23072)+E(f520(x23073,x23071,x23074,x23075,x23076,x23077),f520(x23073,x23072,x23074,x23075,x23076,x23077)) % 186.59/186.37 [2308]~E(x23081,x23082)+E(f520(x23083,x23084,x23081,x23085,x23086,x23087),f520(x23083,x23084,x23082,x23085,x23086,x23087)) % 186.59/186.37 [2309]~E(x23091,x23092)+E(f520(x23093,x23094,x23095,x23091,x23096,x23097),f520(x23093,x23094,x23095,x23092,x23096,x23097)) % 186.59/186.37 [2310]~E(x23101,x23102)+E(f520(x23103,x23104,x23105,x23106,x23101,x23107),f520(x23103,x23104,x23105,x23106,x23102,x23107)) % 186.59/186.37 [2311]~E(x23111,x23112)+E(f520(x23113,x23114,x23115,x23116,x23117,x23111),f520(x23113,x23114,x23115,x23116,x23117,x23112)) % 186.59/186.37 [2312]~E(x23121,x23122)+E(f716(x23121,x23123),f716(x23122,x23123)) % 186.59/186.37 [2313]~E(x23131,x23132)+E(f716(x23133,x23131),f716(x23133,x23132)) % 186.59/186.37 [2314]~E(x23141,x23142)+E(f722(x23141,x23143),f722(x23142,x23143)) % 186.59/186.37 [2315]~E(x23151,x23152)+E(f722(x23153,x23151),f722(x23153,x23152)) % 186.59/186.37 [2316]~E(x23161,x23162)+E(f620(x23161,x23163,x23164),f620(x23162,x23163,x23164)) % 186.59/186.37 [2317]~E(x23171,x23172)+E(f620(x23173,x23171,x23174),f620(x23173,x23172,x23174)) % 186.59/186.37 [2318]~E(x23181,x23182)+E(f620(x23183,x23184,x23181),f620(x23183,x23184,x23182)) % 186.59/186.37 [2319]~E(x23191,x23192)+E(f714(x23191,x23193),f714(x23192,x23193)) % 186.59/186.37 [2320]~E(x23201,x23202)+E(f714(x23203,x23201),f714(x23203,x23202)) % 186.59/186.37 [2321]~E(x23211,x23212)+E(f824(x23211,x23213,x23214),f824(x23212,x23213,x23214)) % 186.59/186.37 [2322]~E(x23221,x23222)+E(f824(x23223,x23221,x23224),f824(x23223,x23222,x23224)) % 186.59/186.37 [2323]~E(x23231,x23232)+E(f824(x23233,x23234,x23231),f824(x23233,x23234,x23232)) % 186.59/186.37 [2324]~E(x23241,x23242)+E(f466(x23241,x23243,x23244,x23245),f466(x23242,x23243,x23244,x23245)) % 186.59/186.37 [2325]~E(x23251,x23252)+E(f466(x23253,x23251,x23254,x23255),f466(x23253,x23252,x23254,x23255)) % 186.59/186.37 [2326]~E(x23261,x23262)+E(f466(x23263,x23264,x23261,x23265),f466(x23263,x23264,x23262,x23265)) % 186.59/186.37 [2327]~E(x23271,x23272)+E(f466(x23273,x23274,x23275,x23271),f466(x23273,x23274,x23275,x23272)) % 186.59/186.37 [2328]~E(x23281,x23282)+E(f652(x23281,x23283,x23284,x23285,x23286,x23287),f652(x23282,x23283,x23284,x23285,x23286,x23287)) % 186.59/186.37 [2329]~E(x23291,x23292)+E(f652(x23293,x23291,x23294,x23295,x23296,x23297),f652(x23293,x23292,x23294,x23295,x23296,x23297)) % 186.59/186.37 [2330]~E(x23301,x23302)+E(f652(x23303,x23304,x23301,x23305,x23306,x23307),f652(x23303,x23304,x23302,x23305,x23306,x23307)) % 186.59/186.37 [2331]~E(x23311,x23312)+E(f652(x23313,x23314,x23315,x23311,x23316,x23317),f652(x23313,x23314,x23315,x23312,x23316,x23317)) % 186.59/186.37 [2332]~E(x23321,x23322)+E(f652(x23323,x23324,x23325,x23326,x23321,x23327),f652(x23323,x23324,x23325,x23326,x23322,x23327)) % 186.59/186.37 [2333]~E(x23331,x23332)+E(f652(x23333,x23334,x23335,x23336,x23337,x23331),f652(x23333,x23334,x23335,x23336,x23337,x23332)) % 186.59/186.37 [2334]~E(x23341,x23342)+E(f819(x23341,x23343,x23344,x23345,x23346,x23347),f819(x23342,x23343,x23344,x23345,x23346,x23347)) % 186.59/186.37 [2335]~E(x23351,x23352)+E(f819(x23353,x23351,x23354,x23355,x23356,x23357),f819(x23353,x23352,x23354,x23355,x23356,x23357)) % 186.59/186.37 [2336]~E(x23361,x23362)+E(f819(x23363,x23364,x23361,x23365,x23366,x23367),f819(x23363,x23364,x23362,x23365,x23366,x23367)) % 186.59/186.37 [2337]~E(x23371,x23372)+E(f819(x23373,x23374,x23375,x23371,x23376,x23377),f819(x23373,x23374,x23375,x23372,x23376,x23377)) % 186.59/186.37 [2338]~E(x23381,x23382)+E(f819(x23383,x23384,x23385,x23386,x23381,x23387),f819(x23383,x23384,x23385,x23386,x23382,x23387)) % 186.59/186.37 [2339]~E(x23391,x23392)+E(f819(x23393,x23394,x23395,x23396,x23397,x23391),f819(x23393,x23394,x23395,x23396,x23397,x23392)) % 186.59/186.37 [2340]~E(x23401,x23402)+E(f808(x23401,x23403),f808(x23402,x23403)) % 186.59/186.37 [2341]~E(x23411,x23412)+E(f808(x23413,x23411),f808(x23413,x23412)) % 186.59/186.37 [2342]~E(x23421,x23422)+E(f480(x23421,x23423,x23424,x23425,x23426),f480(x23422,x23423,x23424,x23425,x23426)) % 186.59/186.37 [2343]~E(x23431,x23432)+E(f480(x23433,x23431,x23434,x23435,x23436),f480(x23433,x23432,x23434,x23435,x23436)) % 186.59/186.37 [2344]~E(x23441,x23442)+E(f480(x23443,x23444,x23441,x23445,x23446),f480(x23443,x23444,x23442,x23445,x23446)) % 186.59/186.37 [2345]~E(x23451,x23452)+E(f480(x23453,x23454,x23455,x23451,x23456),f480(x23453,x23454,x23455,x23452,x23456)) % 186.59/186.37 [2346]~E(x23461,x23462)+E(f480(x23463,x23464,x23465,x23466,x23461),f480(x23463,x23464,x23465,x23466,x23462)) % 186.59/186.37 [2347]~E(x23471,x23472)+E(f748(x23471,x23473,x23474,x23475,x23476),f748(x23472,x23473,x23474,x23475,x23476)) % 186.59/186.37 [2348]~E(x23481,x23482)+E(f748(x23483,x23481,x23484,x23485,x23486),f748(x23483,x23482,x23484,x23485,x23486)) % 186.59/186.37 [2349]~E(x23491,x23492)+E(f748(x23493,x23494,x23491,x23495,x23496),f748(x23493,x23494,x23492,x23495,x23496)) % 186.59/186.37 [2350]~E(x23501,x23502)+E(f748(x23503,x23504,x23505,x23501,x23506),f748(x23503,x23504,x23505,x23502,x23506)) % 186.59/186.37 [2351]~E(x23511,x23512)+E(f748(x23513,x23514,x23515,x23516,x23511),f748(x23513,x23514,x23515,x23516,x23512)) % 186.59/186.37 [2352]~E(x23521,x23522)+E(f334(x23521,x23523,x23524,x23525),f334(x23522,x23523,x23524,x23525)) % 186.59/186.37 [2353]~E(x23531,x23532)+E(f334(x23533,x23531,x23534,x23535),f334(x23533,x23532,x23534,x23535)) % 186.59/186.37 [2354]~E(x23541,x23542)+E(f334(x23543,x23544,x23541,x23545),f334(x23543,x23544,x23542,x23545)) % 186.59/186.37 [2355]~E(x23551,x23552)+E(f334(x23553,x23554,x23555,x23551),f334(x23553,x23554,x23555,x23552)) % 186.59/186.37 [2356]~E(x23561,x23562)+E(f870(x23561,x23563,x23564,x23565,x23566),f870(x23562,x23563,x23564,x23565,x23566)) % 186.59/186.37 [2357]~E(x23571,x23572)+E(f870(x23573,x23571,x23574,x23575,x23576),f870(x23573,x23572,x23574,x23575,x23576)) % 186.59/186.37 [2358]~E(x23581,x23582)+E(f870(x23583,x23584,x23581,x23585,x23586),f870(x23583,x23584,x23582,x23585,x23586)) % 186.59/186.37 [2359]~E(x23591,x23592)+E(f870(x23593,x23594,x23595,x23591,x23596),f870(x23593,x23594,x23595,x23592,x23596)) % 186.59/186.37 [2360]~E(x23601,x23602)+E(f870(x23603,x23604,x23605,x23606,x23601),f870(x23603,x23604,x23605,x23606,x23602)) % 186.59/186.37 [2361]~E(x23611,x23612)+E(f667(x23611,x23613,x23614),f667(x23612,x23613,x23614)) % 186.59/186.37 [2362]~E(x23621,x23622)+E(f667(x23623,x23621,x23624),f667(x23623,x23622,x23624)) % 186.59/186.37 [2363]~E(x23631,x23632)+E(f667(x23633,x23634,x23631),f667(x23633,x23634,x23632)) % 186.59/186.37 [2364]~E(x23641,x23642)+E(f430(x23641,x23643,x23644),f430(x23642,x23643,x23644)) % 186.59/186.37 [2365]~E(x23651,x23652)+E(f430(x23653,x23651,x23654),f430(x23653,x23652,x23654)) % 186.59/186.37 [2366]~E(x23661,x23662)+E(f430(x23663,x23664,x23661),f430(x23663,x23664,x23662)) % 186.59/186.37 [2367]~E(x23671,x23672)+E(f421(x23671,x23673,x23674),f421(x23672,x23673,x23674)) % 186.59/186.37 [2368]~E(x23681,x23682)+E(f421(x23683,x23681,x23684),f421(x23683,x23682,x23684)) % 186.59/186.37 [2369]~E(x23691,x23692)+E(f421(x23693,x23694,x23691),f421(x23693,x23694,x23692)) % 186.59/186.37 [2370]~E(x23701,x23702)+E(f504(x23701,x23703,x23704),f504(x23702,x23703,x23704)) % 186.59/186.37 [2371]~E(x23711,x23712)+E(f504(x23713,x23711,x23714),f504(x23713,x23712,x23714)) % 186.59/186.37 [2372]~E(x23721,x23722)+E(f504(x23723,x23724,x23721),f504(x23723,x23724,x23722)) % 186.59/186.37 [2373]~E(x23731,x23732)+E(f222(x23731,x23733,x23734,x23735),f222(x23732,x23733,x23734,x23735)) % 186.59/186.37 [2374]~E(x23741,x23742)+E(f222(x23743,x23741,x23744,x23745),f222(x23743,x23742,x23744,x23745)) % 186.59/186.37 [2375]~E(x23751,x23752)+E(f222(x23753,x23754,x23751,x23755),f222(x23753,x23754,x23752,x23755)) % 186.59/186.37 [2376]~E(x23761,x23762)+E(f222(x23763,x23764,x23765,x23761),f222(x23763,x23764,x23765,x23762)) % 186.59/186.37 [2377]~E(x23771,x23772)+E(f326(x23771),f326(x23772)) % 186.59/186.37 [2378]~E(x23781,x23782)+E(f904(x23781,x23783),f904(x23782,x23783)) % 186.59/186.37 [2379]~E(x23791,x23792)+E(f904(x23793,x23791),f904(x23793,x23792)) % 186.59/186.37 [2380]~E(x23801,x23802)+E(f832(x23801,x23803,x23804,x23805,x23806),f832(x23802,x23803,x23804,x23805,x23806)) % 186.59/186.37 [2381]~E(x23811,x23812)+E(f832(x23813,x23811,x23814,x23815,x23816),f832(x23813,x23812,x23814,x23815,x23816)) % 186.59/186.37 [2382]~E(x23821,x23822)+E(f832(x23823,x23824,x23821,x23825,x23826),f832(x23823,x23824,x23822,x23825,x23826)) % 186.59/186.37 [2383]~E(x23831,x23832)+E(f832(x23833,x23834,x23835,x23831,x23836),f832(x23833,x23834,x23835,x23832,x23836)) % 186.59/186.37 [2384]~E(x23841,x23842)+E(f832(x23843,x23844,x23845,x23846,x23841),f832(x23843,x23844,x23845,x23846,x23842)) % 186.59/186.37 [2385]~E(x23851,x23852)+E(f459(x23851,x23853,x23854),f459(x23852,x23853,x23854)) % 186.59/186.37 [2386]~E(x23861,x23862)+E(f459(x23863,x23861,x23864),f459(x23863,x23862,x23864)) % 186.59/186.37 [2387]~E(x23871,x23872)+E(f459(x23873,x23874,x23871),f459(x23873,x23874,x23872)) % 186.59/186.37 [2388]~E(x23881,x23882)+E(f336(x23881,x23883,x23884),f336(x23882,x23883,x23884)) % 186.59/186.37 [2389]~E(x23891,x23892)+E(f336(x23893,x23891,x23894),f336(x23893,x23892,x23894)) % 186.59/186.37 [2390]~E(x23901,x23902)+E(f336(x23903,x23904,x23901),f336(x23903,x23904,x23902)) % 186.59/186.37 [2391]~E(x23911,x23912)+E(f881(x23911,x23913,x23914,x23915),f881(x23912,x23913,x23914,x23915)) % 186.59/186.37 [2392]~E(x23921,x23922)+E(f881(x23923,x23921,x23924,x23925),f881(x23923,x23922,x23924,x23925)) % 186.59/186.37 [2393]~E(x23931,x23932)+E(f881(x23933,x23934,x23931,x23935),f881(x23933,x23934,x23932,x23935)) % 186.59/186.37 [2394]~E(x23941,x23942)+E(f881(x23943,x23944,x23945,x23941),f881(x23943,x23944,x23945,x23942)) % 186.59/186.37 [2395]~E(x23951,x23952)+E(f202(x23951,x23953,x23954,x23955),f202(x23952,x23953,x23954,x23955)) % 186.59/186.37 [2396]~E(x23961,x23962)+E(f202(x23963,x23961,x23964,x23965),f202(x23963,x23962,x23964,x23965)) % 186.59/186.37 [2397]~E(x23971,x23972)+E(f202(x23973,x23974,x23971,x23975),f202(x23973,x23974,x23972,x23975)) % 186.59/186.37 [2398]~E(x23981,x23982)+E(f202(x23983,x23984,x23985,x23981),f202(x23983,x23984,x23985,x23982)) % 186.59/186.37 [2399]~E(x23991,x23992)+E(f286(x23991,x23993,x23994),f286(x23992,x23993,x23994)) % 186.59/186.37 [2400]~E(x24001,x24002)+E(f286(x24003,x24001,x24004),f286(x24003,x24002,x24004)) % 186.59/186.37 [2401]~E(x24011,x24012)+E(f286(x24013,x24014,x24011),f286(x24013,x24014,x24012)) % 186.59/186.37 [2402]~E(x24021,x24022)+E(f606(x24021,x24023),f606(x24022,x24023)) % 186.59/186.37 [2403]~E(x24031,x24032)+E(f606(x24033,x24031),f606(x24033,x24032)) % 186.59/186.37 [2404]~E(x24041,x24042)+E(f432(x24041),f432(x24042)) % 186.59/186.37 [2405]~E(x24051,x24052)+E(f491(x24051,x24053,x24054,x24055,x24056),f491(x24052,x24053,x24054,x24055,x24056)) % 186.59/186.37 [2406]~E(x24061,x24062)+E(f491(x24063,x24061,x24064,x24065,x24066),f491(x24063,x24062,x24064,x24065,x24066)) % 186.59/186.37 [2407]~E(x24071,x24072)+E(f491(x24073,x24074,x24071,x24075,x24076),f491(x24073,x24074,x24072,x24075,x24076)) % 186.59/186.37 [2408]~E(x24081,x24082)+E(f491(x24083,x24084,x24085,x24081,x24086),f491(x24083,x24084,x24085,x24082,x24086)) % 186.59/186.37 [2409]~E(x24091,x24092)+E(f491(x24093,x24094,x24095,x24096,x24091),f491(x24093,x24094,x24095,x24096,x24092)) % 186.59/186.37 [2410]~E(x24101,x24102)+E(f271(x24101,x24103,x24104,x24105),f271(x24102,x24103,x24104,x24105)) % 186.59/186.37 [2411]~E(x24111,x24112)+E(f271(x24113,x24111,x24114,x24115),f271(x24113,x24112,x24114,x24115)) % 186.59/186.37 [2412]~E(x24121,x24122)+E(f271(x24123,x24124,x24121,x24125),f271(x24123,x24124,x24122,x24125)) % 186.59/186.37 [2413]~E(x24131,x24132)+E(f271(x24133,x24134,x24135,x24131),f271(x24133,x24134,x24135,x24132)) % 186.59/186.37 [2414]~E(x24141,x24142)+E(f505(x24141,x24143,x24144),f505(x24142,x24143,x24144)) % 186.59/186.37 [2415]~E(x24151,x24152)+E(f505(x24153,x24151,x24154),f505(x24153,x24152,x24154)) % 186.59/186.37 [2416]~E(x24161,x24162)+E(f505(x24163,x24164,x24161),f505(x24163,x24164,x24162)) % 186.59/186.37 [2417]~E(x24171,x24172)+E(f328(x24171),f328(x24172)) % 186.59/186.37 [2418]~E(x24181,x24182)+E(f733(x24181,x24183),f733(x24182,x24183)) % 186.59/186.37 [2419]~E(x24191,x24192)+E(f733(x24193,x24191),f733(x24193,x24192)) % 186.59/186.37 [2420]~E(x24201,x24202)+E(f899(x24201,x24203,x24204,x24205,x24206),f899(x24202,x24203,x24204,x24205,x24206)) % 186.59/186.37 [2421]~E(x24211,x24212)+E(f899(x24213,x24211,x24214,x24215,x24216),f899(x24213,x24212,x24214,x24215,x24216)) % 186.59/186.37 [2422]~E(x24221,x24222)+E(f899(x24223,x24224,x24221,x24225,x24226),f899(x24223,x24224,x24222,x24225,x24226)) % 186.59/186.37 [2423]~E(x24231,x24232)+E(f899(x24233,x24234,x24235,x24231,x24236),f899(x24233,x24234,x24235,x24232,x24236)) % 186.59/186.37 [2424]~E(x24241,x24242)+E(f899(x24243,x24244,x24245,x24246,x24241),f899(x24243,x24244,x24245,x24246,x24242)) % 186.59/186.37 [2425]~E(x24251,x24252)+E(f617(x24251,x24253,x24254,x24255),f617(x24252,x24253,x24254,x24255)) % 186.59/186.37 [2426]~E(x24261,x24262)+E(f617(x24263,x24261,x24264,x24265),f617(x24263,x24262,x24264,x24265)) % 186.59/186.37 [2427]~E(x24271,x24272)+E(f617(x24273,x24274,x24271,x24275),f617(x24273,x24274,x24272,x24275)) % 186.59/186.37 [2428]~E(x24281,x24282)+E(f617(x24283,x24284,x24285,x24281),f617(x24283,x24284,x24285,x24282)) % 186.59/186.37 [2429]~E(x24291,x24292)+E(f361(x24291,x24293,x24294,x24295,x24296),f361(x24292,x24293,x24294,x24295,x24296)) % 186.59/186.37 [2430]~E(x24301,x24302)+E(f361(x24303,x24301,x24304,x24305,x24306),f361(x24303,x24302,x24304,x24305,x24306)) % 186.59/186.37 [2431]~E(x24311,x24312)+E(f361(x24313,x24314,x24311,x24315,x24316),f361(x24313,x24314,x24312,x24315,x24316)) % 186.59/186.37 [2432]~E(x24321,x24322)+E(f361(x24323,x24324,x24325,x24321,x24326),f361(x24323,x24324,x24325,x24322,x24326)) % 186.59/186.37 [2433]~E(x24331,x24332)+E(f361(x24333,x24334,x24335,x24336,x24331),f361(x24333,x24334,x24335,x24336,x24332)) % 186.59/186.37 [2434]~E(x24341,x24342)+E(f566(x24341,x24343,x24344,x24345),f566(x24342,x24343,x24344,x24345)) % 186.59/186.37 [2435]~E(x24351,x24352)+E(f566(x24353,x24351,x24354,x24355),f566(x24353,x24352,x24354,x24355)) % 186.59/186.37 [2436]~E(x24361,x24362)+E(f566(x24363,x24364,x24361,x24365),f566(x24363,x24364,x24362,x24365)) % 186.59/186.37 [2437]~E(x24371,x24372)+E(f566(x24373,x24374,x24375,x24371),f566(x24373,x24374,x24375,x24372)) % 186.59/186.37 [2438]~E(x24381,x24382)+E(f823(x24381,x24383),f823(x24382,x24383)) % 186.59/186.37 [2439]~E(x24391,x24392)+E(f823(x24393,x24391),f823(x24393,x24392)) % 186.59/186.37 [2440]~E(x24401,x24402)+E(f845(x24401,x24403,x24404,x24405,x24406,x24407,x24408),f845(x24402,x24403,x24404,x24405,x24406,x24407,x24408)) % 186.59/186.37 [2441]~E(x24411,x24412)+E(f845(x24413,x24411,x24414,x24415,x24416,x24417,x24418),f845(x24413,x24412,x24414,x24415,x24416,x24417,x24418)) % 186.59/186.37 [2442]~E(x24421,x24422)+E(f845(x24423,x24424,x24421,x24425,x24426,x24427,x24428),f845(x24423,x24424,x24422,x24425,x24426,x24427,x24428)) % 186.59/186.37 [2443]~E(x24431,x24432)+E(f845(x24433,x24434,x24435,x24431,x24436,x24437,x24438),f845(x24433,x24434,x24435,x24432,x24436,x24437,x24438)) % 186.59/186.37 [2444]~E(x24441,x24442)+E(f845(x24443,x24444,x24445,x24446,x24441,x24447,x24448),f845(x24443,x24444,x24445,x24446,x24442,x24447,x24448)) % 186.59/186.37 [2445]~E(x24451,x24452)+E(f845(x24453,x24454,x24455,x24456,x24457,x24451,x24458),f845(x24453,x24454,x24455,x24456,x24457,x24452,x24458)) % 186.59/186.37 [2446]~E(x24461,x24462)+E(f845(x24463,x24464,x24465,x24466,x24467,x24468,x24461),f845(x24463,x24464,x24465,x24466,x24467,x24468,x24462)) % 186.59/186.37 [2447]~E(x24471,x24472)+E(f907(x24471,x24473,x24474,x24475,x24476),f907(x24472,x24473,x24474,x24475,x24476)) % 186.59/186.37 [2448]~E(x24481,x24482)+E(f907(x24483,x24481,x24484,x24485,x24486),f907(x24483,x24482,x24484,x24485,x24486)) % 186.59/186.37 [2449]~E(x24491,x24492)+E(f907(x24493,x24494,x24491,x24495,x24496),f907(x24493,x24494,x24492,x24495,x24496)) % 186.59/186.37 [2450]~E(x24501,x24502)+E(f907(x24503,x24504,x24505,x24501,x24506),f907(x24503,x24504,x24505,x24502,x24506)) % 186.59/186.37 [2451]~E(x24511,x24512)+E(f907(x24513,x24514,x24515,x24516,x24511),f907(x24513,x24514,x24515,x24516,x24512)) % 186.59/186.37 [2452]~E(x24521,x24522)+E(f442(x24521,x24523,x24524),f442(x24522,x24523,x24524)) % 186.59/186.37 [2453]~E(x24531,x24532)+E(f442(x24533,x24531,x24534),f442(x24533,x24532,x24534)) % 186.59/186.37 [2454]~E(x24541,x24542)+E(f442(x24543,x24544,x24541),f442(x24543,x24544,x24542)) % 186.59/186.37 [2455]~E(x24551,x24552)+E(f630(x24551,x24553),f630(x24552,x24553)) % 186.59/186.37 [2456]~E(x24561,x24562)+E(f630(x24563,x24561),f630(x24563,x24562)) % 186.59/186.37 [2457]~E(x24571,x24572)+E(f658(x24571,x24573,x24574),f658(x24572,x24573,x24574)) % 186.59/186.37 [2458]~E(x24581,x24582)+E(f658(x24583,x24581,x24584),f658(x24583,x24582,x24584)) % 186.59/186.37 [2459]~E(x24591,x24592)+E(f658(x24593,x24594,x24591),f658(x24593,x24594,x24592)) % 186.59/186.37 [2460]~E(x24601,x24602)+E(f123(x24601,x24603,x24604,x24605),f123(x24602,x24603,x24604,x24605)) % 186.59/186.37 [2461]~E(x24611,x24612)+E(f123(x24613,x24611,x24614,x24615),f123(x24613,x24612,x24614,x24615)) % 186.59/186.37 [2462]~E(x24621,x24622)+E(f123(x24623,x24624,x24621,x24625),f123(x24623,x24624,x24622,x24625)) % 186.59/186.37 [2463]~E(x24631,x24632)+E(f123(x24633,x24634,x24635,x24631),f123(x24633,x24634,x24635,x24632)) % 186.59/186.37 [2464]~E(x24641,x24642)+E(f350(x24641,x24643),f350(x24642,x24643)) % 186.59/186.37 [2465]~E(x24651,x24652)+E(f350(x24653,x24651),f350(x24653,x24652)) % 186.59/186.37 [2466]~E(x24661,x24662)+E(f730(x24661,x24663,x24664,x24665),f730(x24662,x24663,x24664,x24665)) % 186.59/186.37 [2467]~E(x24671,x24672)+E(f730(x24673,x24671,x24674,x24675),f730(x24673,x24672,x24674,x24675)) % 186.59/186.37 [2468]~E(x24681,x24682)+E(f730(x24683,x24684,x24681,x24685),f730(x24683,x24684,x24682,x24685)) % 186.59/186.37 [2469]~E(x24691,x24692)+E(f730(x24693,x24694,x24695,x24691),f730(x24693,x24694,x24695,x24692)) % 186.59/186.37 [2470]~E(x24701,x24702)+E(f383(x24701,x24703,x24704,x24705),f383(x24702,x24703,x24704,x24705)) % 186.59/186.37 [2471]~E(x24711,x24712)+E(f383(x24713,x24711,x24714,x24715),f383(x24713,x24712,x24714,x24715)) % 186.59/186.37 [2472]~E(x24721,x24722)+E(f383(x24723,x24724,x24721,x24725),f383(x24723,x24724,x24722,x24725)) % 186.59/186.37 [2473]~E(x24731,x24732)+E(f383(x24733,x24734,x24735,x24731),f383(x24733,x24734,x24735,x24732)) % 186.59/186.37 [2474]~E(x24741,x24742)+E(f879(x24741,x24743),f879(x24742,x24743)) % 186.59/186.37 [2475]~E(x24751,x24752)+E(f879(x24753,x24751),f879(x24753,x24752)) % 186.59/186.37 [2476]~E(x24761,x24762)+E(f37(x24761),f37(x24762)) % 186.59/186.37 [2477]~E(x24771,x24772)+E(f403(x24771,x24773,x24774,x24775),f403(x24772,x24773,x24774,x24775)) % 186.59/186.37 [2478]~E(x24781,x24782)+E(f403(x24783,x24781,x24784,x24785),f403(x24783,x24782,x24784,x24785)) % 186.59/186.37 [2479]~E(x24791,x24792)+E(f403(x24793,x24794,x24791,x24795),f403(x24793,x24794,x24792,x24795)) % 186.59/186.37 [2480]~E(x24801,x24802)+E(f403(x24803,x24804,x24805,x24801),f403(x24803,x24804,x24805,x24802)) % 186.59/186.37 [2481]~E(x24811,x24812)+E(f662(x24811,x24813,x24814,x24815,x24816),f662(x24812,x24813,x24814,x24815,x24816)) % 186.59/186.37 [2482]~E(x24821,x24822)+E(f662(x24823,x24821,x24824,x24825,x24826),f662(x24823,x24822,x24824,x24825,x24826)) % 186.59/186.37 [2483]~E(x24831,x24832)+E(f662(x24833,x24834,x24831,x24835,x24836),f662(x24833,x24834,x24832,x24835,x24836)) % 186.59/186.37 [2484]~E(x24841,x24842)+E(f662(x24843,x24844,x24845,x24841,x24846),f662(x24843,x24844,x24845,x24842,x24846)) % 186.59/186.37 [2485]~E(x24851,x24852)+E(f662(x24853,x24854,x24855,x24856,x24851),f662(x24853,x24854,x24855,x24856,x24852)) % 186.59/186.37 [2486]~E(x24861,x24862)+E(f463(x24861,x24863,x24864,x24865),f463(x24862,x24863,x24864,x24865)) % 186.59/186.37 [2487]~E(x24871,x24872)+E(f463(x24873,x24871,x24874,x24875),f463(x24873,x24872,x24874,x24875)) % 186.59/186.37 [2488]~E(x24881,x24882)+E(f463(x24883,x24884,x24881,x24885),f463(x24883,x24884,x24882,x24885)) % 186.59/186.37 [2489]~E(x24891,x24892)+E(f463(x24893,x24894,x24895,x24891),f463(x24893,x24894,x24895,x24892)) % 186.59/186.37 [2490]~E(x24901,x24902)+E(f535(x24901,x24903,x24904,x24905),f535(x24902,x24903,x24904,x24905)) % 186.59/186.37 [2491]~E(x24911,x24912)+E(f535(x24913,x24911,x24914,x24915),f535(x24913,x24912,x24914,x24915)) % 186.59/186.37 [2492]~E(x24921,x24922)+E(f535(x24923,x24924,x24921,x24925),f535(x24923,x24924,x24922,x24925)) % 186.59/186.37 [2493]~E(x24931,x24932)+E(f535(x24933,x24934,x24935,x24931),f535(x24933,x24934,x24935,x24932)) % 186.59/186.37 [2494]~E(x24941,x24942)+E(f771(x24941,x24943,x24944),f771(x24942,x24943,x24944)) % 186.59/186.37 [2495]~E(x24951,x24952)+E(f771(x24953,x24951,x24954),f771(x24953,x24952,x24954)) % 186.59/186.37 [2496]~E(x24961,x24962)+E(f771(x24963,x24964,x24961),f771(x24963,x24964,x24962)) % 186.59/186.37 [2497]~E(x24971,x24972)+E(f545(x24971,x24973),f545(x24972,x24973)) % 186.59/186.37 [2498]~E(x24981,x24982)+E(f545(x24983,x24981),f545(x24983,x24982)) % 186.59/186.37 [2499]~E(x24991,x24992)+E(f450(x24991,x24993,x24994),f450(x24992,x24993,x24994)) % 186.59/186.37 [2500]~E(x25001,x25002)+E(f450(x25003,x25001,x25004),f450(x25003,x25002,x25004)) % 186.59/186.37 [2501]~E(x25011,x25012)+E(f450(x25013,x25014,x25011),f450(x25013,x25014,x25012)) % 186.59/186.37 [2502]~E(x25021,x25022)+E(f519(x25021,x25023,x25024,x25025,x25026,x25027),f519(x25022,x25023,x25024,x25025,x25026,x25027)) % 186.59/186.37 [2503]~E(x25031,x25032)+E(f519(x25033,x25031,x25034,x25035,x25036,x25037),f519(x25033,x25032,x25034,x25035,x25036,x25037)) % 186.59/186.37 [2504]~E(x25041,x25042)+E(f519(x25043,x25044,x25041,x25045,x25046,x25047),f519(x25043,x25044,x25042,x25045,x25046,x25047)) % 186.59/186.37 [2505]~E(x25051,x25052)+E(f519(x25053,x25054,x25055,x25051,x25056,x25057),f519(x25053,x25054,x25055,x25052,x25056,x25057)) % 186.59/186.37 [2506]~E(x25061,x25062)+E(f519(x25063,x25064,x25065,x25066,x25061,x25067),f519(x25063,x25064,x25065,x25066,x25062,x25067)) % 186.59/186.37 [2507]~E(x25071,x25072)+E(f519(x25073,x25074,x25075,x25076,x25077,x25071),f519(x25073,x25074,x25075,x25076,x25077,x25072)) % 186.59/186.37 [2508]~E(x25081,x25082)+E(f775(x25081,x25083,x25084),f775(x25082,x25083,x25084)) % 186.59/186.37 [2509]~E(x25091,x25092)+E(f775(x25093,x25091,x25094),f775(x25093,x25092,x25094)) % 186.59/186.37 [2510]~E(x25101,x25102)+E(f775(x25103,x25104,x25101),f775(x25103,x25104,x25102)) % 186.59/186.37 [2511]~E(x25111,x25112)+E(f405(x25111,x25113,x25114,x25115),f405(x25112,x25113,x25114,x25115)) % 186.59/186.37 [2512]~E(x25121,x25122)+E(f405(x25123,x25121,x25124,x25125),f405(x25123,x25122,x25124,x25125)) % 186.59/186.37 [2513]~E(x25131,x25132)+E(f405(x25133,x25134,x25131,x25135),f405(x25133,x25134,x25132,x25135)) % 186.59/186.37 [2514]~E(x25141,x25142)+E(f405(x25143,x25144,x25145,x25141),f405(x25143,x25144,x25145,x25142)) % 186.59/186.37 [2515]~E(x25151,x25152)+E(f740(x25151,x25153),f740(x25152,x25153)) % 186.59/186.37 [2516]~E(x25161,x25162)+E(f740(x25163,x25161),f740(x25163,x25162)) % 186.59/186.37 [2517]~E(x25171,x25172)+E(f21(x25171,x25173,x25174,x25175),f21(x25172,x25173,x25174,x25175)) % 186.59/186.37 [2518]~E(x25181,x25182)+E(f21(x25183,x25181,x25184,x25185),f21(x25183,x25182,x25184,x25185)) % 186.59/186.37 [2519]~E(x25191,x25192)+E(f21(x25193,x25194,x25191,x25195),f21(x25193,x25194,x25192,x25195)) % 186.59/186.37 [2520]~E(x25201,x25202)+E(f21(x25203,x25204,x25205,x25201),f21(x25203,x25204,x25205,x25202)) % 186.59/186.37 [2521]~E(x25211,x25212)+E(f648(x25211,x25213,x25214,x25215),f648(x25212,x25213,x25214,x25215)) % 186.59/186.37 [2522]~E(x25221,x25222)+E(f648(x25223,x25221,x25224,x25225),f648(x25223,x25222,x25224,x25225)) % 186.59/186.37 [2523]~E(x25231,x25232)+E(f648(x25233,x25234,x25231,x25235),f648(x25233,x25234,x25232,x25235)) % 186.59/186.37 [2524]~E(x25241,x25242)+E(f648(x25243,x25244,x25245,x25241),f648(x25243,x25244,x25245,x25242)) % 186.59/186.37 [2525]~E(x25251,x25252)+E(f456(x25251,x25253),f456(x25252,x25253)) % 186.59/186.37 [2526]~E(x25261,x25262)+E(f456(x25263,x25261),f456(x25263,x25262)) % 186.59/186.37 [2527]~E(x25271,x25272)+E(f539(x25271,x25273,x25274,x25275),f539(x25272,x25273,x25274,x25275)) % 186.59/186.37 [2528]~E(x25281,x25282)+E(f539(x25283,x25281,x25284,x25285),f539(x25283,x25282,x25284,x25285)) % 186.59/186.37 [2529]~E(x25291,x25292)+E(f539(x25293,x25294,x25291,x25295),f539(x25293,x25294,x25292,x25295)) % 186.59/186.37 [2530]~E(x25301,x25302)+E(f539(x25303,x25304,x25305,x25301),f539(x25303,x25304,x25305,x25302)) % 186.59/186.37 [2531]~E(x25311,x25312)+E(f799(x25311,x25313,x25314,x25315),f799(x25312,x25313,x25314,x25315)) % 186.59/186.37 [2532]~E(x25321,x25322)+E(f799(x25323,x25321,x25324,x25325),f799(x25323,x25322,x25324,x25325)) % 186.59/186.37 [2533]~E(x25331,x25332)+E(f799(x25333,x25334,x25331,x25335),f799(x25333,x25334,x25332,x25335)) % 186.59/186.37 [2534]~E(x25341,x25342)+E(f799(x25343,x25344,x25345,x25341),f799(x25343,x25344,x25345,x25342)) % 186.59/186.37 [2535]~E(x25351,x25352)+E(f826(x25351,x25353),f826(x25352,x25353)) % 186.59/186.37 [2536]~E(x25361,x25362)+E(f826(x25363,x25361),f826(x25363,x25362)) % 186.59/186.37 [2537]~E(x25371,x25372)+E(f885(x25371,x25373),f885(x25372,x25373)) % 186.59/186.37 [2538]~E(x25381,x25382)+E(f885(x25383,x25381),f885(x25383,x25382)) % 186.59/186.37 [2539]~E(x25391,x25392)+E(f391(x25391,x25393,x25394,x25395),f391(x25392,x25393,x25394,x25395)) % 186.59/186.37 [2540]~E(x25401,x25402)+E(f391(x25403,x25401,x25404,x25405),f391(x25403,x25402,x25404,x25405)) % 186.59/186.37 [2541]~E(x25411,x25412)+E(f391(x25413,x25414,x25411,x25415),f391(x25413,x25414,x25412,x25415)) % 186.59/186.37 [2542]~E(x25421,x25422)+E(f391(x25423,x25424,x25425,x25421),f391(x25423,x25424,x25425,x25422)) % 186.59/186.37 [2543]~E(x25431,x25432)+E(f679(x25431,x25433,x25434),f679(x25432,x25433,x25434)) % 186.59/186.37 [2544]~E(x25441,x25442)+E(f679(x25443,x25441,x25444),f679(x25443,x25442,x25444)) % 186.59/186.37 [2545]~E(x25451,x25452)+E(f679(x25453,x25454,x25451),f679(x25453,x25454,x25452)) % 186.59/186.37 [2546]~E(x25461,x25462)+E(f395(x25461,x25463),f395(x25462,x25463)) % 186.59/186.37 [2547]~E(x25471,x25472)+E(f395(x25473,x25471),f395(x25473,x25472)) % 186.59/186.37 [2548]~E(x25481,x25482)+E(f553(x25481,x25483),f553(x25482,x25483)) % 186.59/186.37 [2549]~E(x25491,x25492)+E(f553(x25493,x25491),f553(x25493,x25492)) % 186.59/186.37 [2550]~E(x25501,x25502)+E(f556(x25501,x25503,x25504,x25505),f556(x25502,x25503,x25504,x25505)) % 186.59/186.37 [2551]~E(x25511,x25512)+E(f556(x25513,x25511,x25514,x25515),f556(x25513,x25512,x25514,x25515)) % 186.59/186.37 [2552]~E(x25521,x25522)+E(f556(x25523,x25524,x25521,x25525),f556(x25523,x25524,x25522,x25525)) % 186.59/186.37 [2553]~E(x25531,x25532)+E(f556(x25533,x25534,x25535,x25531),f556(x25533,x25534,x25535,x25532)) % 186.59/186.37 [2554]~E(x25541,x25542)+E(f591(x25541,x25543,x25544,x25545),f591(x25542,x25543,x25544,x25545)) % 186.59/186.37 [2555]~E(x25551,x25552)+E(f591(x25553,x25551,x25554,x25555),f591(x25553,x25552,x25554,x25555)) % 186.59/186.37 [2556]~E(x25561,x25562)+E(f591(x25563,x25564,x25561,x25565),f591(x25563,x25564,x25562,x25565)) % 186.59/186.37 [2557]~E(x25571,x25572)+E(f591(x25573,x25574,x25575,x25571),f591(x25573,x25574,x25575,x25572)) % 186.59/186.37 [2558]~E(x25581,x25582)+E(f473(x25581,x25583,x25584),f473(x25582,x25583,x25584)) % 186.59/186.37 [2559]~E(x25591,x25592)+E(f473(x25593,x25591,x25594),f473(x25593,x25592,x25594)) % 186.59/186.37 [2560]~E(x25601,x25602)+E(f473(x25603,x25604,x25601),f473(x25603,x25604,x25602)) % 186.59/186.37 [2561]~E(x25611,x25612)+E(f717(x25611,x25613,x25614),f717(x25612,x25613,x25614)) % 186.59/186.37 [2562]~E(x25621,x25622)+E(f717(x25623,x25621,x25624),f717(x25623,x25622,x25624)) % 186.59/186.37 [2563]~E(x25631,x25632)+E(f717(x25633,x25634,x25631),f717(x25633,x25634,x25632)) % 186.59/186.37 [2564]~E(x25641,x25642)+E(f451(x25641,x25643,x25644),f451(x25642,x25643,x25644)) % 186.59/186.37 [2565]~E(x25651,x25652)+E(f451(x25653,x25651,x25654),f451(x25653,x25652,x25654)) % 186.59/186.37 [2566]~E(x25661,x25662)+E(f451(x25663,x25664,x25661),f451(x25663,x25664,x25662)) % 186.59/186.37 [2567]~E(x25671,x25672)+E(f410(x25671),f410(x25672)) % 186.59/186.37 [2568]~E(x25681,x25682)+E(f597(x25681,x25683,x25684),f597(x25682,x25683,x25684)) % 186.59/186.37 [2569]~E(x25691,x25692)+E(f597(x25693,x25691,x25694),f597(x25693,x25692,x25694)) % 186.59/186.37 [2570]~E(x25701,x25702)+E(f597(x25703,x25704,x25701),f597(x25703,x25704,x25702)) % 186.59/186.37 [2571]~E(x25711,x25712)+E(f415(x25711,x25713),f415(x25712,x25713)) % 186.59/186.37 [2572]~E(x25721,x25722)+E(f415(x25723,x25721),f415(x25723,x25722)) % 186.59/186.37 [2573]~E(x25731,x25732)+E(f857(x25731,x25733,x25734,x25735,x25736,x25737),f857(x25732,x25733,x25734,x25735,x25736,x25737)) % 186.59/186.37 [2574]~E(x25741,x25742)+E(f857(x25743,x25741,x25744,x25745,x25746,x25747),f857(x25743,x25742,x25744,x25745,x25746,x25747)) % 186.59/186.37 [2575]~E(x25751,x25752)+E(f857(x25753,x25754,x25751,x25755,x25756,x25757),f857(x25753,x25754,x25752,x25755,x25756,x25757)) % 186.59/186.37 [2576]~E(x25761,x25762)+E(f857(x25763,x25764,x25765,x25761,x25766,x25767),f857(x25763,x25764,x25765,x25762,x25766,x25767)) % 186.59/186.37 [2577]~E(x25771,x25772)+E(f857(x25773,x25774,x25775,x25776,x25771,x25777),f857(x25773,x25774,x25775,x25776,x25772,x25777)) % 186.59/186.37 [2578]~E(x25781,x25782)+E(f857(x25783,x25784,x25785,x25786,x25787,x25781),f857(x25783,x25784,x25785,x25786,x25787,x25782)) % 186.59/186.37 [2579]~E(x25791,x25792)+E(f203(x25791,x25793,x25794,x25795),f203(x25792,x25793,x25794,x25795)) % 186.59/186.37 [2580]~E(x25801,x25802)+E(f203(x25803,x25801,x25804,x25805),f203(x25803,x25802,x25804,x25805)) % 186.59/186.37 [2581]~E(x25811,x25812)+E(f203(x25813,x25814,x25811,x25815),f203(x25813,x25814,x25812,x25815)) % 186.59/186.37 [2582]~E(x25821,x25822)+E(f203(x25823,x25824,x25825,x25821),f203(x25823,x25824,x25825,x25822)) % 186.59/186.37 [2583]~E(x25831,x25832)+E(f67(x25831,x25833),f67(x25832,x25833)) % 186.59/186.37 [2584]~E(x25841,x25842)+E(f67(x25843,x25841),f67(x25843,x25842)) % 186.59/186.37 [2585]~E(x25851,x25852)+E(f659(x25851,x25853,x25854,x25855),f659(x25852,x25853,x25854,x25855)) % 186.59/186.37 [2586]~E(x25861,x25862)+E(f659(x25863,x25861,x25864,x25865),f659(x25863,x25862,x25864,x25865)) % 186.59/186.37 [2587]~E(x25871,x25872)+E(f659(x25873,x25874,x25871,x25875),f659(x25873,x25874,x25872,x25875)) % 186.59/186.37 [2588]~E(x25881,x25882)+E(f659(x25883,x25884,x25885,x25881),f659(x25883,x25884,x25885,x25882)) % 186.59/186.37 [2589]~E(x25891,x25892)+E(f338(x25891,x25893,x25894),f338(x25892,x25893,x25894)) % 186.59/186.37 [2590]~E(x25901,x25902)+E(f338(x25903,x25901,x25904),f338(x25903,x25902,x25904)) % 186.59/186.37 [2591]~E(x25911,x25912)+E(f338(x25913,x25914,x25911),f338(x25913,x25914,x25912)) % 186.59/186.37 [2592]~E(x25921,x25922)+E(f325(x25921),f325(x25922)) % 186.59/186.37 [2593]~E(x25931,x25932)+E(f191(x25931,x25933,x25934,x25935),f191(x25932,x25933,x25934,x25935)) % 186.59/186.37 [2594]~E(x25941,x25942)+E(f191(x25943,x25941,x25944,x25945),f191(x25943,x25942,x25944,x25945)) % 186.59/186.37 [2595]~E(x25951,x25952)+E(f191(x25953,x25954,x25951,x25955),f191(x25953,x25954,x25952,x25955)) % 186.59/186.37 [2596]~E(x25961,x25962)+E(f191(x25963,x25964,x25965,x25961),f191(x25963,x25964,x25965,x25962)) % 186.59/186.37 [2597]~E(x25971,x25972)+E(f654(x25971,x25973,x25974,x25975,x25976,x25977),f654(x25972,x25973,x25974,x25975,x25976,x25977)) % 186.59/186.37 [2598]~E(x25981,x25982)+E(f654(x25983,x25981,x25984,x25985,x25986,x25987),f654(x25983,x25982,x25984,x25985,x25986,x25987)) % 186.59/186.37 [2599]~E(x25991,x25992)+E(f654(x25993,x25994,x25991,x25995,x25996,x25997),f654(x25993,x25994,x25992,x25995,x25996,x25997)) % 186.59/186.37 [2600]~E(x26001,x26002)+E(f654(x26003,x26004,x26005,x26001,x26006,x26007),f654(x26003,x26004,x26005,x26002,x26006,x26007)) % 186.59/186.37 [2601]~E(x26011,x26012)+E(f654(x26013,x26014,x26015,x26016,x26011,x26017),f654(x26013,x26014,x26015,x26016,x26012,x26017)) % 186.59/186.37 [2602]~E(x26021,x26022)+E(f654(x26023,x26024,x26025,x26026,x26027,x26021),f654(x26023,x26024,x26025,x26026,x26027,x26022)) % 186.59/186.37 [2603]~E(x26031,x26032)+E(f844(x26031,x26033,x26034,x26035,x26036,x26037,x26038),f844(x26032,x26033,x26034,x26035,x26036,x26037,x26038)) % 186.59/186.37 [2604]~E(x26041,x26042)+E(f844(x26043,x26041,x26044,x26045,x26046,x26047,x26048),f844(x26043,x26042,x26044,x26045,x26046,x26047,x26048)) % 186.59/186.37 [2605]~E(x26051,x26052)+E(f844(x26053,x26054,x26051,x26055,x26056,x26057,x26058),f844(x26053,x26054,x26052,x26055,x26056,x26057,x26058)) % 186.59/186.37 [2606]~E(x26061,x26062)+E(f844(x26063,x26064,x26065,x26061,x26066,x26067,x26068),f844(x26063,x26064,x26065,x26062,x26066,x26067,x26068)) % 186.59/186.37 [2607]~E(x26071,x26072)+E(f844(x26073,x26074,x26075,x26076,x26071,x26077,x26078),f844(x26073,x26074,x26075,x26076,x26072,x26077,x26078)) % 186.59/186.37 [2608]~E(x26081,x26082)+E(f844(x26083,x26084,x26085,x26086,x26087,x26081,x26088),f844(x26083,x26084,x26085,x26086,x26087,x26082,x26088)) % 186.59/186.37 [2609]~E(x26091,x26092)+E(f844(x26093,x26094,x26095,x26096,x26097,x26098,x26091),f844(x26093,x26094,x26095,x26096,x26097,x26098,x26092)) % 186.59/186.37 [2610]~E(x26101,x26102)+E(f263(x26101,x26103,x26104,x26105),f263(x26102,x26103,x26104,x26105)) % 186.59/186.37 [2611]~E(x26111,x26112)+E(f263(x26113,x26111,x26114,x26115),f263(x26113,x26112,x26114,x26115)) % 186.59/186.37 [2612]~E(x26121,x26122)+E(f263(x26123,x26124,x26121,x26125),f263(x26123,x26124,x26122,x26125)) % 186.59/186.37 [2613]~E(x26131,x26132)+E(f263(x26133,x26134,x26135,x26131),f263(x26133,x26134,x26135,x26132)) % 186.59/186.37 [2614]~E(x26141,x26142)+E(f604(x26141,x26143,x26144,x26145,x26146,x26147),f604(x26142,x26143,x26144,x26145,x26146,x26147)) % 186.59/186.37 [2615]~E(x26151,x26152)+E(f604(x26153,x26151,x26154,x26155,x26156,x26157),f604(x26153,x26152,x26154,x26155,x26156,x26157)) % 186.59/186.37 [2616]~E(x26161,x26162)+E(f604(x26163,x26164,x26161,x26165,x26166,x26167),f604(x26163,x26164,x26162,x26165,x26166,x26167)) % 186.59/186.37 [2617]~E(x26171,x26172)+E(f604(x26173,x26174,x26175,x26171,x26176,x26177),f604(x26173,x26174,x26175,x26172,x26176,x26177)) % 186.59/186.37 [2618]~E(x26181,x26182)+E(f604(x26183,x26184,x26185,x26186,x26181,x26187),f604(x26183,x26184,x26185,x26186,x26182,x26187)) % 186.59/186.37 [2619]~E(x26191,x26192)+E(f604(x26193,x26194,x26195,x26196,x26197,x26191),f604(x26193,x26194,x26195,x26196,x26197,x26192)) % 186.59/186.37 [2620]~E(x26201,x26202)+E(f905(x26201,x26203,x26204),f905(x26202,x26203,x26204)) % 186.59/186.37 [2621]~E(x26211,x26212)+E(f905(x26213,x26211,x26214),f905(x26213,x26212,x26214)) % 186.59/186.37 [2622]~E(x26221,x26222)+E(f905(x26223,x26224,x26221),f905(x26223,x26224,x26222)) % 186.59/186.37 [2623]~E(x26231,x26232)+E(f795(x26231,x26233,x26234,x26235,x26236,x26237,x26238),f795(x26232,x26233,x26234,x26235,x26236,x26237,x26238)) % 186.59/186.37 [2624]~E(x26241,x26242)+E(f795(x26243,x26241,x26244,x26245,x26246,x26247,x26248),f795(x26243,x26242,x26244,x26245,x26246,x26247,x26248)) % 186.59/186.37 [2625]~E(x26251,x26252)+E(f795(x26253,x26254,x26251,x26255,x26256,x26257,x26258),f795(x26253,x26254,x26252,x26255,x26256,x26257,x26258)) % 186.59/186.37 [2626]~E(x26261,x26262)+E(f795(x26263,x26264,x26265,x26261,x26266,x26267,x26268),f795(x26263,x26264,x26265,x26262,x26266,x26267,x26268)) % 186.59/186.37 [2627]~E(x26271,x26272)+E(f795(x26273,x26274,x26275,x26276,x26271,x26277,x26278),f795(x26273,x26274,x26275,x26276,x26272,x26277,x26278)) % 186.59/186.37 [2628]~E(x26281,x26282)+E(f795(x26283,x26284,x26285,x26286,x26287,x26281,x26288),f795(x26283,x26284,x26285,x26286,x26287,x26282,x26288)) % 186.59/186.37 [2629]~E(x26291,x26292)+E(f795(x26293,x26294,x26295,x26296,x26297,x26298,x26291),f795(x26293,x26294,x26295,x26296,x26297,x26298,x26292)) % 186.59/186.37 [2630]~E(x26301,x26302)+E(f812(x26301,x26303,x26304,x26305),f812(x26302,x26303,x26304,x26305)) % 186.59/186.37 [2631]~E(x26311,x26312)+E(f812(x26313,x26311,x26314,x26315),f812(x26313,x26312,x26314,x26315)) % 186.59/186.37 [2632]~E(x26321,x26322)+E(f812(x26323,x26324,x26321,x26325),f812(x26323,x26324,x26322,x26325)) % 186.59/186.37 [2633]~E(x26331,x26332)+E(f812(x26333,x26334,x26335,x26331),f812(x26333,x26334,x26335,x26332)) % 186.59/186.37 [2634]~E(x26341,x26342)+E(f618(x26341,x26343,x26344),f618(x26342,x26343,x26344)) % 186.59/186.37 [2635]~E(x26351,x26352)+E(f618(x26353,x26351,x26354),f618(x26353,x26352,x26354)) % 186.59/186.37 [2636]~E(x26361,x26362)+E(f618(x26363,x26364,x26361),f618(x26363,x26364,x26362)) % 186.59/186.37 [2637]~E(x26371,x26372)+E(f487(x26371,x26373,x26374,x26375),f487(x26372,x26373,x26374,x26375)) % 186.59/186.37 [2638]~E(x26381,x26382)+E(f487(x26383,x26381,x26384,x26385),f487(x26383,x26382,x26384,x26385)) % 186.59/186.37 [2639]~E(x26391,x26392)+E(f487(x26393,x26394,x26391,x26395),f487(x26393,x26394,x26392,x26395)) % 186.59/186.37 [2640]~E(x26401,x26402)+E(f487(x26403,x26404,x26405,x26401),f487(x26403,x26404,x26405,x26402)) % 186.59/186.37 [2641]~E(x26411,x26412)+E(f830(x26411,x26413,x26414,x26415,x26416,x26417),f830(x26412,x26413,x26414,x26415,x26416,x26417)) % 186.59/186.37 [2642]~E(x26421,x26422)+E(f830(x26423,x26421,x26424,x26425,x26426,x26427),f830(x26423,x26422,x26424,x26425,x26426,x26427)) % 186.59/186.37 [2643]~E(x26431,x26432)+E(f830(x26433,x26434,x26431,x26435,x26436,x26437),f830(x26433,x26434,x26432,x26435,x26436,x26437)) % 186.59/186.37 [2644]~E(x26441,x26442)+E(f830(x26443,x26444,x26445,x26441,x26446,x26447),f830(x26443,x26444,x26445,x26442,x26446,x26447)) % 186.59/186.37 [2645]~E(x26451,x26452)+E(f830(x26453,x26454,x26455,x26456,x26451,x26457),f830(x26453,x26454,x26455,x26456,x26452,x26457)) % 186.59/186.37 [2646]~E(x26461,x26462)+E(f830(x26463,x26464,x26465,x26466,x26467,x26461),f830(x26463,x26464,x26465,x26466,x26467,x26462)) % 186.59/186.37 [2647]~E(x26471,x26472)+E(f323(x26471),f323(x26472)) % 186.59/186.37 [2648]~E(x26481,x26482)+E(f515(x26481,x26483,x26484),f515(x26482,x26483,x26484)) % 186.59/186.37 [2649]~E(x26491,x26492)+E(f515(x26493,x26491,x26494),f515(x26493,x26492,x26494)) % 186.59/186.37 [2650]~E(x26501,x26502)+E(f515(x26503,x26504,x26501),f515(x26503,x26504,x26502)) % 186.59/186.37 [2651]~E(x26511,x26512)+E(f745(x26511,x26513),f745(x26512,x26513)) % 186.59/186.37 [2652]~E(x26521,x26522)+E(f745(x26523,x26521),f745(x26523,x26522)) % 186.59/186.37 [2653]~E(x26531,x26532)+E(f239(x26531,x26533,x26534),f239(x26532,x26533,x26534)) % 186.59/186.37 [2654]~E(x26541,x26542)+E(f239(x26543,x26541,x26544),f239(x26543,x26542,x26544)) % 186.59/186.37 [2655]~E(x26551,x26552)+E(f239(x26553,x26554,x26551),f239(x26553,x26554,x26552)) % 186.59/186.37 [2656]~E(x26561,x26562)+E(f800(x26561,x26563,x26564),f800(x26562,x26563,x26564)) % 186.59/186.37 [2657]~E(x26571,x26572)+E(f800(x26573,x26571,x26574),f800(x26573,x26572,x26574)) % 186.59/186.37 [2658]~E(x26581,x26582)+E(f800(x26583,x26584,x26581),f800(x26583,x26584,x26582)) % 186.59/186.37 [2659]~E(x26591,x26592)+E(f493(x26591,x26593),f493(x26592,x26593)) % 186.59/186.37 [2660]~E(x26601,x26602)+E(f493(x26603,x26601),f493(x26603,x26602)) % 186.59/186.37 [2661]~E(x26611,x26612)+E(f346(x26611,x26613),f346(x26612,x26613)) % 186.59/186.37 [2662]~E(x26621,x26622)+E(f346(x26623,x26621),f346(x26623,x26622)) % 186.59/186.37 [2663]~E(x26631,x26632)+E(f557(x26631,x26633),f557(x26632,x26633)) % 186.59/186.37 [2664]~E(x26641,x26642)+E(f557(x26643,x26641),f557(x26643,x26642)) % 186.59/186.37 [2665]~E(x26651,x26652)+E(f343(x26651,x26653),f343(x26652,x26653)) % 186.59/186.37 [2666]~E(x26661,x26662)+E(f343(x26663,x26661),f343(x26663,x26662)) % 186.59/186.37 [2667]~E(x26671,x26672)+E(f378(x26671,x26673,x26674,x26675),f378(x26672,x26673,x26674,x26675)) % 186.59/186.37 [2668]~E(x26681,x26682)+E(f378(x26683,x26681,x26684,x26685),f378(x26683,x26682,x26684,x26685)) % 186.59/186.37 [2669]~E(x26691,x26692)+E(f378(x26693,x26694,x26691,x26695),f378(x26693,x26694,x26692,x26695)) % 186.59/186.37 [2670]~E(x26701,x26702)+E(f378(x26703,x26704,x26705,x26701),f378(x26703,x26704,x26705,x26702)) % 186.59/186.37 [2671]~E(x26711,x26712)+E(f529(x26711,x26713,x26714),f529(x26712,x26713,x26714)) % 186.59/186.37 [2672]~E(x26721,x26722)+E(f529(x26723,x26721,x26724),f529(x26723,x26722,x26724)) % 186.59/186.37 [2673]~E(x26731,x26732)+E(f529(x26733,x26734,x26731),f529(x26733,x26734,x26732)) % 186.59/186.37 [2674]~E(x26741,x26742)+E(f211(x26741,x26743),f211(x26742,x26743)) % 186.59/186.37 [2675]~E(x26751,x26752)+E(f211(x26753,x26751),f211(x26753,x26752)) % 186.59/186.37 [2676]~E(x26761,x26762)+E(f489(x26761,x26763,x26764,x26765),f489(x26762,x26763,x26764,x26765)) % 186.59/186.37 [2677]~E(x26771,x26772)+E(f489(x26773,x26771,x26774,x26775),f489(x26773,x26772,x26774,x26775)) % 186.59/186.37 [2678]~E(x26781,x26782)+E(f489(x26783,x26784,x26781,x26785),f489(x26783,x26784,x26782,x26785)) % 186.59/186.37 [2679]~E(x26791,x26792)+E(f489(x26793,x26794,x26795,x26791),f489(x26793,x26794,x26795,x26792)) % 186.59/186.37 [2680]~E(x26801,x26802)+E(f612(x26801,x26803,x26804),f612(x26802,x26803,x26804)) % 186.59/186.37 [2681]~E(x26811,x26812)+E(f612(x26813,x26811,x26814),f612(x26813,x26812,x26814)) % 186.59/186.37 [2682]~E(x26821,x26822)+E(f612(x26823,x26824,x26821),f612(x26823,x26824,x26822)) % 186.59/186.37 [2683]~E(x26831,x26832)+E(f474(x26831,x26833,x26834),f474(x26832,x26833,x26834)) % 186.59/186.37 [2684]~E(x26841,x26842)+E(f474(x26843,x26841,x26844),f474(x26843,x26842,x26844)) % 186.59/186.37 [2685]~E(x26851,x26852)+E(f474(x26853,x26854,x26851),f474(x26853,x26854,x26852)) % 186.59/186.37 [2686]~E(x26861,x26862)+E(f706(x26861,x26863,x26864,x26865,x26866),f706(x26862,x26863,x26864,x26865,x26866)) % 186.59/186.37 [2687]~E(x26871,x26872)+E(f706(x26873,x26871,x26874,x26875,x26876),f706(x26873,x26872,x26874,x26875,x26876)) % 186.59/186.37 [2688]~E(x26881,x26882)+E(f706(x26883,x26884,x26881,x26885,x26886),f706(x26883,x26884,x26882,x26885,x26886)) % 186.59/186.37 [2689]~E(x26891,x26892)+E(f706(x26893,x26894,x26895,x26891,x26896),f706(x26893,x26894,x26895,x26892,x26896)) % 186.59/186.37 [2690]~E(x26901,x26902)+E(f706(x26903,x26904,x26905,x26906,x26901),f706(x26903,x26904,x26905,x26906,x26902)) % 186.59/186.37 [2691]~E(x26911,x26912)+E(f19(x26911,x26913,x26914,x26915),f19(x26912,x26913,x26914,x26915)) % 186.59/186.37 [2692]~E(x26921,x26922)+E(f19(x26923,x26921,x26924,x26925),f19(x26923,x26922,x26924,x26925)) % 186.59/186.37 [2693]~E(x26931,x26932)+E(f19(x26933,x26934,x26931,x26935),f19(x26933,x26934,x26932,x26935)) % 186.59/186.37 [2694]~E(x26941,x26942)+E(f19(x26943,x26944,x26945,x26941),f19(x26943,x26944,x26945,x26942)) % 186.59/186.37 [2695]~E(x26951,x26952)+E(f482(x26951,x26953,x26954,x26955,x26956),f482(x26952,x26953,x26954,x26955,x26956)) % 186.59/186.37 [2696]~E(x26961,x26962)+E(f482(x26963,x26961,x26964,x26965,x26966),f482(x26963,x26962,x26964,x26965,x26966)) % 186.59/186.37 [2697]~E(x26971,x26972)+E(f482(x26973,x26974,x26971,x26975,x26976),f482(x26973,x26974,x26972,x26975,x26976)) % 186.59/186.37 [2698]~E(x26981,x26982)+E(f482(x26983,x26984,x26985,x26981,x26986),f482(x26983,x26984,x26985,x26982,x26986)) % 186.59/186.37 [2699]~E(x26991,x26992)+E(f482(x26993,x26994,x26995,x26996,x26991),f482(x26993,x26994,x26995,x26996,x26992)) % 186.59/186.37 [2700]~E(x27001,x27002)+E(f816(x27001,x27003),f816(x27002,x27003)) % 186.59/186.37 [2701]~E(x27011,x27012)+E(f816(x27013,x27011),f816(x27013,x27012)) % 186.59/186.37 [2702]~E(x27021,x27022)+E(f917(x27021,x27023,x27024,x27025,x27026),f917(x27022,x27023,x27024,x27025,x27026)) % 186.59/186.37 [2703]~E(x27031,x27032)+E(f917(x27033,x27031,x27034,x27035,x27036),f917(x27033,x27032,x27034,x27035,x27036)) % 186.59/186.37 [2704]~E(x27041,x27042)+E(f917(x27043,x27044,x27041,x27045,x27046),f917(x27043,x27044,x27042,x27045,x27046)) % 186.59/186.37 [2705]~E(x27051,x27052)+E(f917(x27053,x27054,x27055,x27051,x27056),f917(x27053,x27054,x27055,x27052,x27056)) % 186.59/186.37 [2706]~E(x27061,x27062)+E(f917(x27063,x27064,x27065,x27066,x27061),f917(x27063,x27064,x27065,x27066,x27062)) % 186.59/186.37 [2707]~E(x27071,x27072)+E(f285(x27071,x27073,x27074),f285(x27072,x27073,x27074)) % 186.59/186.37 [2708]~E(x27081,x27082)+E(f285(x27083,x27081,x27084),f285(x27083,x27082,x27084)) % 186.59/186.37 [2709]~E(x27091,x27092)+E(f285(x27093,x27094,x27091),f285(x27093,x27094,x27092)) % 186.59/186.37 [2710]~E(x27101,x27102)+E(f424(x27101),f424(x27102)) % 186.59/186.37 [2711]~E(x27111,x27112)+E(f287(x27111,x27113,x27114),f287(x27112,x27113,x27114)) % 186.59/186.37 [2712]~E(x27121,x27122)+E(f287(x27123,x27121,x27124),f287(x27123,x27122,x27124)) % 186.59/186.37 [2713]~E(x27131,x27132)+E(f287(x27133,x27134,x27131),f287(x27133,x27134,x27132)) % 186.59/186.37 [2714]~E(x27141,x27142)+E(f469(x27141,x27143),f469(x27142,x27143)) % 186.59/186.37 [2715]~E(x27151,x27152)+E(f469(x27153,x27151),f469(x27153,x27152)) % 186.59/186.37 [2716]~E(x27161,x27162)+E(f707(x27161,x27163,x27164,x27165,x27166),f707(x27162,x27163,x27164,x27165,x27166)) % 186.59/186.37 [2717]~E(x27171,x27172)+E(f707(x27173,x27171,x27174,x27175,x27176),f707(x27173,x27172,x27174,x27175,x27176)) % 186.59/186.37 [2718]~E(x27181,x27182)+E(f707(x27183,x27184,x27181,x27185,x27186),f707(x27183,x27184,x27182,x27185,x27186)) % 186.59/186.37 [2719]~E(x27191,x27192)+E(f707(x27193,x27194,x27195,x27191,x27196),f707(x27193,x27194,x27195,x27192,x27196)) % 186.59/186.37 [2720]~E(x27201,x27202)+E(f707(x27203,x27204,x27205,x27206,x27201),f707(x27203,x27204,x27205,x27206,x27202)) % 186.59/186.37 [2721]~E(x27211,x27212)+E(f267(x27211,x27213),f267(x27212,x27213)) % 186.59/186.37 [2722]~E(x27221,x27222)+E(f267(x27223,x27221),f267(x27223,x27222)) % 186.59/186.37 [2723]~E(x27231,x27232)+E(f257(x27231,x27233,x27234),f257(x27232,x27233,x27234)) % 186.59/186.37 [2724]~E(x27241,x27242)+E(f257(x27243,x27241,x27244),f257(x27243,x27242,x27244)) % 186.59/186.37 [2725]~E(x27251,x27252)+E(f257(x27253,x27254,x27251),f257(x27253,x27254,x27252)) % 186.59/186.37 [2726]~E(x27261,x27262)+E(f559(x27261,x27263,x27264,x27265),f559(x27262,x27263,x27264,x27265)) % 186.59/186.37 [2727]~E(x27271,x27272)+E(f559(x27273,x27271,x27274,x27275),f559(x27273,x27272,x27274,x27275)) % 186.59/186.37 [2728]~E(x27281,x27282)+E(f559(x27283,x27284,x27281,x27285),f559(x27283,x27284,x27282,x27285)) % 186.59/186.37 [2729]~E(x27291,x27292)+E(f559(x27293,x27294,x27295,x27291),f559(x27293,x27294,x27295,x27292)) % 186.59/186.37 [2730]~E(x27301,x27302)+E(f728(x27301,x27303,x27304),f728(x27302,x27303,x27304)) % 186.59/186.37 [2731]~E(x27311,x27312)+E(f728(x27313,x27311,x27314),f728(x27313,x27312,x27314)) % 186.59/186.37 [2732]~E(x27321,x27322)+E(f728(x27323,x27324,x27321),f728(x27323,x27324,x27322)) % 186.59/186.37 [2733]~E(x27331,x27332)+E(f554(x27331,x27333,x27334),f554(x27332,x27333,x27334)) % 186.59/186.37 [2734]~E(x27341,x27342)+E(f554(x27343,x27341,x27344),f554(x27343,x27342,x27344)) % 186.59/186.37 [2735]~E(x27351,x27352)+E(f554(x27353,x27354,x27351),f554(x27353,x27354,x27352)) % 186.59/186.37 [2736]~E(x27361,x27362)+E(f901(x27361,x27363,x27364,x27365,x27366,x27367),f901(x27362,x27363,x27364,x27365,x27366,x27367)) % 186.59/186.37 [2737]~E(x27371,x27372)+E(f901(x27373,x27371,x27374,x27375,x27376,x27377),f901(x27373,x27372,x27374,x27375,x27376,x27377)) % 186.59/186.37 [2738]~E(x27381,x27382)+E(f901(x27383,x27384,x27381,x27385,x27386,x27387),f901(x27383,x27384,x27382,x27385,x27386,x27387)) % 186.59/186.37 [2739]~E(x27391,x27392)+E(f901(x27393,x27394,x27395,x27391,x27396,x27397),f901(x27393,x27394,x27395,x27392,x27396,x27397)) % 186.59/186.37 [2740]~E(x27401,x27402)+E(f901(x27403,x27404,x27405,x27406,x27401,x27407),f901(x27403,x27404,x27405,x27406,x27402,x27407)) % 186.59/186.37 [2741]~E(x27411,x27412)+E(f901(x27413,x27414,x27415,x27416,x27417,x27411),f901(x27413,x27414,x27415,x27416,x27417,x27412)) % 186.59/186.37 [2742]~E(x27421,x27422)+E(f390(x27421,x27423,x27424,x27425),f390(x27422,x27423,x27424,x27425)) % 186.59/186.37 [2743]~E(x27431,x27432)+E(f390(x27433,x27431,x27434,x27435),f390(x27433,x27432,x27434,x27435)) % 186.59/186.37 [2744]~E(x27441,x27442)+E(f390(x27443,x27444,x27441,x27445),f390(x27443,x27444,x27442,x27445)) % 186.59/186.37 [2745]~E(x27451,x27452)+E(f390(x27453,x27454,x27455,x27451),f390(x27453,x27454,x27455,x27452)) % 186.59/186.37 [2746]~E(x27461,x27462)+E(f475(x27461,x27463,x27464),f475(x27462,x27463,x27464)) % 186.59/186.37 [2747]~E(x27471,x27472)+E(f475(x27473,x27471,x27474),f475(x27473,x27472,x27474)) % 186.59/186.37 [2748]~E(x27481,x27482)+E(f475(x27483,x27484,x27481),f475(x27483,x27484,x27482)) % 186.59/186.37 [2749]~E(x27491,x27492)+E(f551(x27491,x27493,x27494,x27495,x27496),f551(x27492,x27493,x27494,x27495,x27496)) % 186.59/186.37 [2750]~E(x27501,x27502)+E(f551(x27503,x27501,x27504,x27505,x27506),f551(x27503,x27502,x27504,x27505,x27506)) % 186.59/186.37 [2751]~E(x27511,x27512)+E(f551(x27513,x27514,x27511,x27515,x27516),f551(x27513,x27514,x27512,x27515,x27516)) % 186.59/186.37 [2752]~E(x27521,x27522)+E(f551(x27523,x27524,x27525,x27521,x27526),f551(x27523,x27524,x27525,x27522,x27526)) % 186.59/186.37 [2753]~E(x27531,x27532)+E(f551(x27533,x27534,x27535,x27536,x27531),f551(x27533,x27534,x27535,x27536,x27532)) % 186.59/186.37 [2754]~E(x27541,x27542)+E(f190(x27541,x27543,x27544,x27545),f190(x27542,x27543,x27544,x27545)) % 186.59/186.37 [2755]~E(x27551,x27552)+E(f190(x27553,x27551,x27554,x27555),f190(x27553,x27552,x27554,x27555)) % 186.59/186.37 [2756]~E(x27561,x27562)+E(f190(x27563,x27564,x27561,x27565),f190(x27563,x27564,x27562,x27565)) % 186.59/186.37 [2757]~E(x27571,x27572)+E(f190(x27573,x27574,x27575,x27571),f190(x27573,x27574,x27575,x27572)) % 186.59/186.37 [2758]~E(x27581,x27582)+E(f616(x27581,x27583,x27584,x27585,x27586),f616(x27582,x27583,x27584,x27585,x27586)) % 186.59/186.37 [2759]~E(x27591,x27592)+E(f616(x27593,x27591,x27594,x27595,x27596),f616(x27593,x27592,x27594,x27595,x27596)) % 186.59/186.37 [2760]~E(x27601,x27602)+E(f616(x27603,x27604,x27601,x27605,x27606),f616(x27603,x27604,x27602,x27605,x27606)) % 186.59/186.37 [2761]~E(x27611,x27612)+E(f616(x27613,x27614,x27615,x27611,x27616),f616(x27613,x27614,x27615,x27612,x27616)) % 186.59/186.37 [2762]~E(x27621,x27622)+E(f616(x27623,x27624,x27625,x27626,x27621),f616(x27623,x27624,x27625,x27626,x27622)) % 186.59/186.37 [2763]~E(x27631,x27632)+E(f746(x27631,x27633),f746(x27632,x27633)) % 186.59/186.37 [2764]~E(x27641,x27642)+E(f746(x27643,x27641),f746(x27643,x27642)) % 186.59/186.37 [2765]~E(x27651,x27652)+E(f570(x27651,x27653),f570(x27652,x27653)) % 186.59/186.37 [2766]~E(x27661,x27662)+E(f570(x27663,x27661),f570(x27663,x27662)) % 186.59/186.37 [2767]~E(x27671,x27672)+E(f506(x27671,x27673,x27674),f506(x27672,x27673,x27674)) % 186.59/186.37 [2768]~E(x27681,x27682)+E(f506(x27683,x27681,x27684),f506(x27683,x27682,x27684)) % 186.59/186.37 [2769]~E(x27691,x27692)+E(f506(x27693,x27694,x27691),f506(x27693,x27694,x27692)) % 186.59/186.37 [2770]~E(x27701,x27702)+E(f204(x27701,x27703,x27704,x27705,x27706,x27707,x27708),f204(x27702,x27703,x27704,x27705,x27706,x27707,x27708)) % 186.59/186.37 [2771]~E(x27711,x27712)+E(f204(x27713,x27711,x27714,x27715,x27716,x27717,x27718),f204(x27713,x27712,x27714,x27715,x27716,x27717,x27718)) % 186.59/186.37 [2772]~E(x27721,x27722)+E(f204(x27723,x27724,x27721,x27725,x27726,x27727,x27728),f204(x27723,x27724,x27722,x27725,x27726,x27727,x27728)) % 186.59/186.37 [2773]~E(x27731,x27732)+E(f204(x27733,x27734,x27735,x27731,x27736,x27737,x27738),f204(x27733,x27734,x27735,x27732,x27736,x27737,x27738)) % 186.59/186.37 [2774]~E(x27741,x27742)+E(f204(x27743,x27744,x27745,x27746,x27741,x27747,x27748),f204(x27743,x27744,x27745,x27746,x27742,x27747,x27748)) % 186.59/186.37 [2775]~E(x27751,x27752)+E(f204(x27753,x27754,x27755,x27756,x27757,x27751,x27758),f204(x27753,x27754,x27755,x27756,x27757,x27752,x27758)) % 186.59/186.37 [2776]~E(x27761,x27762)+E(f204(x27763,x27764,x27765,x27766,x27767,x27768,x27761),f204(x27763,x27764,x27765,x27766,x27767,x27768,x27762)) % 186.59/186.37 [2777]~E(x27771,x27772)+E(f668(x27771,x27773,x27774),f668(x27772,x27773,x27774)) % 186.59/186.37 [2778]~E(x27781,x27782)+E(f668(x27783,x27781,x27784),f668(x27783,x27782,x27784)) % 186.59/186.37 [2779]~E(x27791,x27792)+E(f668(x27793,x27794,x27791),f668(x27793,x27794,x27792)) % 186.59/186.37 [2780]~E(x27801,x27802)+E(f827(x27801,x27803),f827(x27802,x27803)) % 186.59/186.37 [2781]~E(x27811,x27812)+E(f827(x27813,x27811),f827(x27813,x27812)) % 186.59/186.37 [2782]~E(x27821,x27822)+E(f353(x27821,x27823,x27824,x27825,x27826),f353(x27822,x27823,x27824,x27825,x27826)) % 186.59/186.37 [2783]~E(x27831,x27832)+E(f353(x27833,x27831,x27834,x27835,x27836),f353(x27833,x27832,x27834,x27835,x27836)) % 186.59/186.37 [2784]~E(x27841,x27842)+E(f353(x27843,x27844,x27841,x27845,x27846),f353(x27843,x27844,x27842,x27845,x27846)) % 186.59/186.37 [2785]~E(x27851,x27852)+E(f353(x27853,x27854,x27855,x27851,x27856),f353(x27853,x27854,x27855,x27852,x27856)) % 186.59/186.37 [2786]~E(x27861,x27862)+E(f353(x27863,x27864,x27865,x27866,x27861),f353(x27863,x27864,x27865,x27866,x27862)) % 186.59/186.37 [2787]~E(x27871,x27872)+E(f511(x27871,x27873,x27874,x27875),f511(x27872,x27873,x27874,x27875)) % 186.59/186.37 [2788]~E(x27881,x27882)+E(f511(x27883,x27881,x27884,x27885),f511(x27883,x27882,x27884,x27885)) % 186.59/186.37 [2789]~E(x27891,x27892)+E(f511(x27893,x27894,x27891,x27895),f511(x27893,x27894,x27892,x27895)) % 186.59/186.37 [2790]~E(x27901,x27902)+E(f511(x27903,x27904,x27905,x27901),f511(x27903,x27904,x27905,x27902)) % 186.59/186.37 [2791]~E(x27911,x27912)+E(f218(x27911,x27913,x27914,x27915,x27916),f218(x27912,x27913,x27914,x27915,x27916)) % 186.59/186.37 [2792]~E(x27921,x27922)+E(f218(x27923,x27921,x27924,x27925,x27926),f218(x27923,x27922,x27924,x27925,x27926)) % 186.59/186.37 [2793]~E(x27931,x27932)+E(f218(x27933,x27934,x27931,x27935,x27936),f218(x27933,x27934,x27932,x27935,x27936)) % 186.59/186.37 [2794]~E(x27941,x27942)+E(f218(x27943,x27944,x27945,x27941,x27946),f218(x27943,x27944,x27945,x27942,x27946)) % 186.59/186.37 [2795]~E(x27951,x27952)+E(f218(x27953,x27954,x27955,x27956,x27951),f218(x27953,x27954,x27955,x27956,x27952)) % 186.59/186.37 [2796]~E(x27961,x27962)+E(f585(x27961,x27963,x27964),f585(x27962,x27963,x27964)) % 186.59/186.37 [2797]~E(x27971,x27972)+E(f585(x27973,x27971,x27974),f585(x27973,x27972,x27974)) % 186.59/186.37 [2798]~E(x27981,x27982)+E(f585(x27983,x27984,x27981),f585(x27983,x27984,x27982)) % 186.59/186.37 [2799]~E(x27991,x27992)+E(f723(x27991,x27993,x27994),f723(x27992,x27993,x27994)) % 186.59/186.37 [2800]~E(x28001,x28002)+E(f723(x28003,x28001,x28004),f723(x28003,x28002,x28004)) % 186.59/186.37 [2801]~E(x28011,x28012)+E(f723(x28013,x28014,x28011),f723(x28013,x28014,x28012)) % 186.59/186.37 [2802]~E(x28021,x28022)+E(f596(x28021,x28023,x28024),f596(x28022,x28023,x28024)) % 186.59/186.37 [2803]~E(x28031,x28032)+E(f596(x28033,x28031,x28034),f596(x28033,x28032,x28034)) % 186.59/186.37 [2804]~E(x28041,x28042)+E(f596(x28043,x28044,x28041),f596(x28043,x28044,x28042)) % 186.59/186.37 [2805]~E(x28051,x28052)+E(f763(x28051,x28053,x28054),f763(x28052,x28053,x28054)) % 186.59/186.37 [2806]~E(x28061,x28062)+E(f763(x28063,x28061,x28064),f763(x28063,x28062,x28064)) % 186.59/186.37 [2807]~E(x28071,x28072)+E(f763(x28073,x28074,x28071),f763(x28073,x28074,x28072)) % 186.59/186.37 [2808]~E(x28081,x28082)+E(f438(x28081,x28083,x28084),f438(x28082,x28083,x28084)) % 186.59/186.37 [2809]~E(x28091,x28092)+E(f438(x28093,x28091,x28094),f438(x28093,x28092,x28094)) % 186.59/186.37 [2810]~E(x28101,x28102)+E(f438(x28103,x28104,x28101),f438(x28103,x28104,x28102)) % 186.59/186.37 [2811]~E(x28111,x28112)+E(f895(x28111,x28113,x28114),f895(x28112,x28113,x28114)) % 186.59/186.37 [2812]~E(x28121,x28122)+E(f895(x28123,x28121,x28124),f895(x28123,x28122,x28124)) % 186.59/186.37 [2813]~E(x28131,x28132)+E(f895(x28133,x28134,x28131),f895(x28133,x28134,x28132)) % 186.59/186.37 [2814]~E(x28141,x28142)+E(f431(x28141,x28143),f431(x28142,x28143)) % 186.59/186.37 [2815]~E(x28151,x28152)+E(f431(x28153,x28151),f431(x28153,x28152)) % 186.59/186.37 [2816]~E(x28161,x28162)+E(f653(x28161,x28163,x28164,x28165,x28166,x28167),f653(x28162,x28163,x28164,x28165,x28166,x28167)) % 186.59/186.37 [2817]~E(x28171,x28172)+E(f653(x28173,x28171,x28174,x28175,x28176,x28177),f653(x28173,x28172,x28174,x28175,x28176,x28177)) % 186.59/186.37 [2818]~E(x28181,x28182)+E(f653(x28183,x28184,x28181,x28185,x28186,x28187),f653(x28183,x28184,x28182,x28185,x28186,x28187)) % 186.59/186.37 [2819]~E(x28191,x28192)+E(f653(x28193,x28194,x28195,x28191,x28196,x28197),f653(x28193,x28194,x28195,x28192,x28196,x28197)) % 186.59/186.37 [2820]~E(x28201,x28202)+E(f653(x28203,x28204,x28205,x28206,x28201,x28207),f653(x28203,x28204,x28205,x28206,x28202,x28207)) % 186.59/186.37 [2821]~E(x28211,x28212)+E(f653(x28213,x28214,x28215,x28216,x28217,x28211),f653(x28213,x28214,x28215,x28216,x28217,x28212)) % 186.59/186.37 [2822]~E(x28221,x28222)+E(f627(x28221,x28223,x28224),f627(x28222,x28223,x28224)) % 186.59/186.37 [2823]~E(x28231,x28232)+E(f627(x28233,x28231,x28234),f627(x28233,x28232,x28234)) % 186.59/186.37 [2824]~E(x28241,x28242)+E(f627(x28243,x28244,x28241),f627(x28243,x28244,x28242)) % 186.59/186.37 [2825]~E(x28251,x28252)+E(f411(x28251,x28253),f411(x28252,x28253)) % 186.59/186.37 [2826]~E(x28261,x28262)+E(f411(x28263,x28261),f411(x28263,x28262)) % 186.59/186.37 [2827]~E(x28271,x28272)+E(f660(x28271,x28273,x28274,x28275,x28276),f660(x28272,x28273,x28274,x28275,x28276)) % 186.59/186.37 [2828]~E(x28281,x28282)+E(f660(x28283,x28281,x28284,x28285,x28286),f660(x28283,x28282,x28284,x28285,x28286)) % 186.59/186.37 [2829]~E(x28291,x28292)+E(f660(x28293,x28294,x28291,x28295,x28296),f660(x28293,x28294,x28292,x28295,x28296)) % 186.59/186.37 [2830]~E(x28301,x28302)+E(f660(x28303,x28304,x28305,x28301,x28306),f660(x28303,x28304,x28305,x28302,x28306)) % 186.59/186.37 [2831]~E(x28311,x28312)+E(f660(x28313,x28314,x28315,x28316,x28311),f660(x28313,x28314,x28315,x28316,x28312)) % 186.59/186.37 [2832]~E(x28321,x28322)+E(f910(x28321,x28323,x28324,x28325,x28326,x28327),f910(x28322,x28323,x28324,x28325,x28326,x28327)) % 186.59/186.37 [2833]~E(x28331,x28332)+E(f910(x28333,x28331,x28334,x28335,x28336,x28337),f910(x28333,x28332,x28334,x28335,x28336,x28337)) % 186.59/186.37 [2834]~E(x28341,x28342)+E(f910(x28343,x28344,x28341,x28345,x28346,x28347),f910(x28343,x28344,x28342,x28345,x28346,x28347)) % 186.59/186.37 [2835]~E(x28351,x28352)+E(f910(x28353,x28354,x28355,x28351,x28356,x28357),f910(x28353,x28354,x28355,x28352,x28356,x28357)) % 186.59/186.37 [2836]~E(x28361,x28362)+E(f910(x28363,x28364,x28365,x28366,x28361,x28367),f910(x28363,x28364,x28365,x28366,x28362,x28367)) % 186.59/186.37 [2837]~E(x28371,x28372)+E(f910(x28373,x28374,x28375,x28376,x28377,x28371),f910(x28373,x28374,x28375,x28376,x28377,x28372)) % 186.59/186.37 [2838]~E(x28381,x28382)+E(f567(x28381),f567(x28382)) % 186.59/186.37 [2839]~P1(x28391)+P1(x28392)+~E(x28391,x28392) % 186.59/186.37 [2840]~P2(x28401)+P2(x28402)+~E(x28401,x28402) % 186.59/186.37 [2841]~P109(x28411)+P109(x28412)+~E(x28411,x28412) % 186.59/186.37 [2842]P149(x28422,x28423,x28424)+~E(x28421,x28422)+~P149(x28421,x28423,x28424) % 186.59/186.37 [2843]P149(x28433,x28432,x28434)+~E(x28431,x28432)+~P149(x28433,x28431,x28434) % 186.59/186.37 [2844]P149(x28443,x28444,x28442)+~E(x28441,x28442)+~P149(x28443,x28444,x28441) % 186.59/186.37 [2845]P11(x28452,x28453)+~E(x28451,x28452)+~P11(x28451,x28453) % 186.59/186.37 [2846]P11(x28463,x28462)+~E(x28461,x28462)+~P11(x28463,x28461) % 186.59/186.37 [2847]~P61(x28471)+P61(x28472)+~E(x28471,x28472) % 186.59/186.37 [2848]~P104(x28481)+P104(x28482)+~E(x28481,x28482) % 186.59/186.37 [2849]~P125(x28491)+P125(x28492)+~E(x28491,x28492) % 186.59/186.37 [2850]~P99(x28501)+P99(x28502)+~E(x28501,x28502) % 186.59/186.37 [2851]~P3(x28511)+P3(x28512)+~E(x28511,x28512) % 186.59/186.37 [2852]~P91(x28521)+P91(x28522)+~E(x28521,x28522) % 186.59/186.37 [2853]~P83(x28531)+P83(x28532)+~E(x28531,x28532) % 186.59/186.37 [2854]~P66(x28541)+P66(x28542)+~E(x28541,x28542) % 186.59/186.37 [2855]~P119(x28551)+P119(x28552)+~E(x28551,x28552) % 186.59/186.37 [2856]~P111(x28561)+P111(x28562)+~E(x28561,x28562) % 186.59/186.37 [2857]~P92(x28571)+P92(x28572)+~E(x28571,x28572) % 186.59/186.37 [2858]~P84(x28581)+P84(x28582)+~E(x28581,x28582) % 186.59/186.37 [2859]~P108(x28591)+P108(x28592)+~E(x28591,x28592) % 186.59/186.37 [2860]~P64(x28601)+P64(x28602)+~E(x28601,x28602) % 186.59/186.37 [2861]~P65(x28611)+P65(x28612)+~E(x28611,x28612) % 186.59/186.37 [2862]~P127(x28621)+P127(x28622)+~E(x28621,x28622) % 186.59/186.37 [2863]~P102(x28631)+P102(x28632)+~E(x28631,x28632) % 186.59/186.37 [2864]~P72(x28641)+P72(x28642)+~E(x28641,x28642) % 186.59/186.37 [2865]~P78(x28651)+P78(x28652)+~E(x28651,x28652) % 186.59/186.37 [2866]~P110(x28661)+P110(x28662)+~E(x28661,x28662) % 186.59/186.37 [2867]P56(x28672,x28673,x28674,x28675)+~E(x28671,x28672)+~P56(x28671,x28673,x28674,x28675) % 186.59/186.37 [2868]P56(x28683,x28682,x28684,x28685)+~E(x28681,x28682)+~P56(x28683,x28681,x28684,x28685) % 186.59/186.37 [2869]P56(x28693,x28694,x28692,x28695)+~E(x28691,x28692)+~P56(x28693,x28694,x28691,x28695) % 186.59/186.37 [2870]P56(x28703,x28704,x28705,x28702)+~E(x28701,x28702)+~P56(x28703,x28704,x28705,x28701) % 186.59/186.37 [2871]~P67(x28711)+P67(x28712)+~E(x28711,x28712) % 186.59/186.37 [2872]~P38(x28721)+P38(x28722)+~E(x28721,x28722) % 186.59/186.37 [2873]~P93(x28731)+P93(x28732)+~E(x28731,x28732) % 186.59/186.37 [2874]~P129(x28741)+P129(x28742)+~E(x28741,x28742) % 186.59/186.37 [2875]P32(x28752,x28753,x28754,x28755,x28756)+~E(x28751,x28752)+~P32(x28751,x28753,x28754,x28755,x28756) % 186.59/186.37 [2876]P32(x28763,x28762,x28764,x28765,x28766)+~E(x28761,x28762)+~P32(x28763,x28761,x28764,x28765,x28766) % 186.59/186.37 [2877]P32(x28773,x28774,x28772,x28775,x28776)+~E(x28771,x28772)+~P32(x28773,x28774,x28771,x28775,x28776) % 186.59/186.37 [2878]P32(x28783,x28784,x28785,x28782,x28786)+~E(x28781,x28782)+~P32(x28783,x28784,x28785,x28781,x28786) % 186.59/186.37 [2879]P32(x28793,x28794,x28795,x28796,x28792)+~E(x28791,x28792)+~P32(x28793,x28794,x28795,x28796,x28791) % 186.59/186.37 [2880]~P58(x28801)+P58(x28802)+~E(x28801,x28802) % 186.59/186.37 [2881]P15(x28812,x28813,x28814)+~E(x28811,x28812)+~P15(x28811,x28813,x28814) % 186.59/186.37 [2882]P15(x28823,x28822,x28824)+~E(x28821,x28822)+~P15(x28823,x28821,x28824) % 186.59/186.37 [2883]P15(x28833,x28834,x28832)+~E(x28831,x28832)+~P15(x28833,x28834,x28831) % 186.59/186.37 [2884]P29(x28842,x28843,x28844)+~E(x28841,x28842)+~P29(x28841,x28843,x28844) % 186.59/186.37 [2885]P29(x28853,x28852,x28854)+~E(x28851,x28852)+~P29(x28853,x28851,x28854) % 186.59/186.37 [2886]P29(x28863,x28864,x28862)+~E(x28861,x28862)+~P29(x28863,x28864,x28861) % 186.59/186.37 [2887]P148(x28872,x28873,x28874)+~E(x28871,x28872)+~P148(x28871,x28873,x28874) % 186.59/186.37 [2888]P148(x28883,x28882,x28884)+~E(x28881,x28882)+~P148(x28883,x28881,x28884) % 186.59/186.37 [2889]P148(x28893,x28894,x28892)+~E(x28891,x28892)+~P148(x28893,x28894,x28891) % 186.59/186.37 [2890]~P94(x28901)+P94(x28902)+~E(x28901,x28902) % 186.59/186.37 [2891]~P103(x28911)+P103(x28912)+~E(x28911,x28912) % 186.59/186.37 [2892]~P98(x28921)+P98(x28922)+~E(x28921,x28922) % 186.59/186.37 [2893]~P105(x28931)+P105(x28932)+~E(x28931,x28932) % 186.59/186.37 [2894]P35(x28942,x28943)+~E(x28941,x28942)+~P35(x28941,x28943) % 186.59/186.37 [2895]P35(x28953,x28952)+~E(x28951,x28952)+~P35(x28953,x28951) % 186.59/186.37 [2896]~P140(x28961)+P140(x28962)+~E(x28961,x28962) % 186.59/186.37 [2897]P5(x28972,x28973)+~E(x28971,x28972)+~P5(x28971,x28973) % 186.59/186.37 [2898]P5(x28983,x28982)+~E(x28981,x28982)+~P5(x28983,x28981) % 186.59/186.37 [2899]~P95(x28991)+P95(x28992)+~E(x28991,x28992) % 186.59/186.37 [2900]~P71(x29001)+P71(x29002)+~E(x29001,x29002) % 186.59/186.37 [2901]P26(x29012,x29013)+~E(x29011,x29012)+~P26(x29011,x29013) % 186.59/186.37 [2902]P26(x29023,x29022)+~E(x29021,x29022)+~P26(x29023,x29021) % 186.59/186.37 [2903]P22(x29032,x29033,x29034,x29035)+~E(x29031,x29032)+~P22(x29031,x29033,x29034,x29035) % 186.59/186.37 [2904]P22(x29043,x29042,x29044,x29045)+~E(x29041,x29042)+~P22(x29043,x29041,x29044,x29045) % 186.59/186.37 [2905]P22(x29053,x29054,x29052,x29055)+~E(x29051,x29052)+~P22(x29053,x29054,x29051,x29055) % 186.59/186.37 [2906]P22(x29063,x29064,x29065,x29062)+~E(x29061,x29062)+~P22(x29063,x29064,x29065,x29061) % 186.59/186.37 [2907]P18(x29072,x29073,x29074,x29075)+~E(x29071,x29072)+~P18(x29071,x29073,x29074,x29075) % 186.59/186.37 [2908]P18(x29083,x29082,x29084,x29085)+~E(x29081,x29082)+~P18(x29083,x29081,x29084,x29085) % 186.59/186.37 [2909]P18(x29093,x29094,x29092,x29095)+~E(x29091,x29092)+~P18(x29093,x29094,x29091,x29095) % 186.59/186.37 [2910]P18(x29103,x29104,x29105,x29102)+~E(x29101,x29102)+~P18(x29103,x29104,x29105,x29101) % 186.59/186.37 [2911]~P59(x29111)+P59(x29112)+~E(x29111,x29112) % 186.59/186.37 [2912]~P96(x29121)+P96(x29122)+~E(x29121,x29122) % 186.59/186.37 [2913]~P68(x29131)+P68(x29132)+~E(x29131,x29132) % 186.59/186.37 [2914]~P82(x29141)+P82(x29142)+~E(x29141,x29142) % 186.59/186.37 [2915]~P141(x29151)+P141(x29152)+~E(x29151,x29152) % 186.59/186.37 [2916]~P69(x29161)+P69(x29162)+~E(x29161,x29162) % 186.59/186.37 [2917]~P142(x29171)+P142(x29172)+~E(x29171,x29172) % 186.59/186.37 [2918]P16(x29182,x29183,x29184)+~E(x29181,x29182)+~P16(x29181,x29183,x29184) % 186.59/186.37 [2919]P16(x29193,x29192,x29194)+~E(x29191,x29192)+~P16(x29193,x29191,x29194) % 186.59/186.37 [2920]P16(x29203,x29204,x29202)+~E(x29201,x29202)+~P16(x29203,x29204,x29201) % 186.59/186.37 [2921]~P112(x29211)+P112(x29212)+~E(x29211,x29212) % 186.59/186.37 [2922]~P139(x29221)+P139(x29222)+~E(x29221,x29222) % 186.59/186.37 [2923]~P113(x29231)+P113(x29232)+~E(x29231,x29232) % 186.59/186.37 [2924]~P60(x29241)+P60(x29242)+~E(x29241,x29242) % 186.59/186.37 [2925]P51(x29252,x29253)+~E(x29251,x29252)+~P51(x29251,x29253) % 186.59/186.37 [2926]P51(x29263,x29262)+~E(x29261,x29262)+~P51(x29263,x29261) % 186.59/186.37 [2927]~P87(x29271)+P87(x29272)+~E(x29271,x29272) % 186.59/186.37 [2928]~P120(x29281)+P120(x29282)+~E(x29281,x29282) % 186.59/186.37 [2929]~P76(x29291)+P76(x29292)+~E(x29291,x29292) % 186.59/186.37 [2930]P12(x29302,x29303,x29304)+~E(x29301,x29302)+~P12(x29301,x29303,x29304) % 186.59/186.37 [2931]P12(x29313,x29312,x29314)+~E(x29311,x29312)+~P12(x29313,x29311,x29314) % 186.59/186.37 [2932]P12(x29323,x29324,x29322)+~E(x29321,x29322)+~P12(x29323,x29324,x29321) % 186.59/186.37 [2933]P55(x29332,x29333)+~E(x29331,x29332)+~P55(x29331,x29333) % 186.59/186.37 [2934]P55(x29343,x29342)+~E(x29341,x29342)+~P55(x29343,x29341) % 186.59/186.37 [2935]~P100(x29351)+P100(x29352)+~E(x29351,x29352) % 186.59/186.37 [2936]~P128(x29361)+P128(x29362)+~E(x29361,x29362) % 186.59/186.37 [2937]P31(x29372,x29373,x29374)+~E(x29371,x29372)+~P31(x29371,x29373,x29374) % 186.59/186.37 [2938]P31(x29383,x29382,x29384)+~E(x29381,x29382)+~P31(x29383,x29381,x29384) % 186.59/186.37 [2939]P31(x29393,x29394,x29392)+~E(x29391,x29392)+~P31(x29393,x29394,x29391) % 186.59/186.37 [2940]~P86(x29401)+P86(x29402)+~E(x29401,x29402) % 186.59/186.37 [2941]~P70(x29411)+P70(x29412)+~E(x29411,x29412) % 186.59/186.37 [2942]~P126(x29421)+P126(x29422)+~E(x29421,x29422) % 186.59/186.37 [2943]P10(x29432,x29433,x29434,x29435,x29436,x29437)+~E(x29431,x29432)+~P10(x29431,x29433,x29434,x29435,x29436,x29437) % 186.59/186.37 [2944]P10(x29443,x29442,x29444,x29445,x29446,x29447)+~E(x29441,x29442)+~P10(x29443,x29441,x29444,x29445,x29446,x29447) % 186.59/186.37 [2945]P10(x29453,x29454,x29452,x29455,x29456,x29457)+~E(x29451,x29452)+~P10(x29453,x29454,x29451,x29455,x29456,x29457) % 186.59/186.37 [2946]P10(x29463,x29464,x29465,x29462,x29466,x29467)+~E(x29461,x29462)+~P10(x29463,x29464,x29465,x29461,x29466,x29467) % 186.59/186.37 [2947]P10(x29473,x29474,x29475,x29476,x29472,x29477)+~E(x29471,x29472)+~P10(x29473,x29474,x29475,x29476,x29471,x29477) % 186.59/186.37 [2948]P10(x29483,x29484,x29485,x29486,x29487,x29482)+~E(x29481,x29482)+~P10(x29483,x29484,x29485,x29486,x29487,x29481) % 186.59/186.37 [2949]~P73(x29491)+P73(x29492)+~E(x29491,x29492) % 186.59/186.37 [2950]P13(x29502,x29503)+~E(x29501,x29502)+~P13(x29501,x29503) % 186.59/186.37 [2951]P13(x29513,x29512)+~E(x29511,x29512)+~P13(x29513,x29511) % 186.59/186.37 [2952]P54(x29522,x29523,x29524,x29525,x29526)+~E(x29521,x29522)+~P54(x29521,x29523,x29524,x29525,x29526) % 186.59/186.37 [2953]P54(x29533,x29532,x29534,x29535,x29536)+~E(x29531,x29532)+~P54(x29533,x29531,x29534,x29535,x29536) % 186.59/186.37 [2954]P54(x29543,x29544,x29542,x29545,x29546)+~E(x29541,x29542)+~P54(x29543,x29544,x29541,x29545,x29546) % 186.59/186.37 [2955]P54(x29553,x29554,x29555,x29552,x29556)+~E(x29551,x29552)+~P54(x29553,x29554,x29555,x29551,x29556) % 186.59/186.37 [2956]P54(x29563,x29564,x29565,x29566,x29562)+~E(x29561,x29562)+~P54(x29563,x29564,x29565,x29566,x29561) % 186.59/186.37 [2957]~P74(x29571)+P74(x29572)+~E(x29571,x29572) % 186.59/186.37 [2958]P20(x29582,x29583,x29584,x29585,x29586,x29587)+~E(x29581,x29582)+~P20(x29581,x29583,x29584,x29585,x29586,x29587) % 186.59/186.37 [2959]P20(x29593,x29592,x29594,x29595,x29596,x29597)+~E(x29591,x29592)+~P20(x29593,x29591,x29594,x29595,x29596,x29597) % 186.59/186.37 [2960]P20(x29603,x29604,x29602,x29605,x29606,x29607)+~E(x29601,x29602)+~P20(x29603,x29604,x29601,x29605,x29606,x29607) % 186.59/186.37 [2961]P20(x29613,x29614,x29615,x29612,x29616,x29617)+~E(x29611,x29612)+~P20(x29613,x29614,x29615,x29611,x29616,x29617) % 186.59/186.37 [2962]P20(x29623,x29624,x29625,x29626,x29622,x29627)+~E(x29621,x29622)+~P20(x29623,x29624,x29625,x29626,x29621,x29627) % 186.59/186.37 [2963]P20(x29633,x29634,x29635,x29636,x29637,x29632)+~E(x29631,x29632)+~P20(x29633,x29634,x29635,x29636,x29637,x29631) % 186.59/186.37 [2964]P53(x29642,x29643,x29644)+~E(x29641,x29642)+~P53(x29641,x29643,x29644) % 186.59/186.37 [2965]P53(x29653,x29652,x29654)+~E(x29651,x29652)+~P53(x29653,x29651,x29654) % 186.59/186.37 [2966]P53(x29663,x29664,x29662)+~E(x29661,x29662)+~P53(x29663,x29664,x29661) % 186.59/186.37 [2967]P37(x29672,x29673)+~E(x29671,x29672)+~P37(x29671,x29673) % 186.59/186.37 [2968]P37(x29683,x29682)+~E(x29681,x29682)+~P37(x29683,x29681) % 186.59/186.37 [2969]P23(x29692,x29693,x29694,x29695,x29696)+~E(x29691,x29692)+~P23(x29691,x29693,x29694,x29695,x29696) % 186.59/186.37 [2970]P23(x29703,x29702,x29704,x29705,x29706)+~E(x29701,x29702)+~P23(x29703,x29701,x29704,x29705,x29706) % 186.59/186.37 [2971]P23(x29713,x29714,x29712,x29715,x29716)+~E(x29711,x29712)+~P23(x29713,x29714,x29711,x29715,x29716) % 186.59/186.37 [2972]P23(x29723,x29724,x29725,x29722,x29726)+~E(x29721,x29722)+~P23(x29723,x29724,x29725,x29721,x29726) % 186.59/186.37 [2973]P23(x29733,x29734,x29735,x29736,x29732)+~E(x29731,x29732)+~P23(x29733,x29734,x29735,x29736,x29731) % 186.59/186.37 [2974]~P124(x29741)+P124(x29742)+~E(x29741,x29742) % 186.59/186.37 [2975]~P85(x29751)+P85(x29752)+~E(x29751,x29752) % 186.59/186.37 [2976]P27(x29762,x29763,x29764)+~E(x29761,x29762)+~P27(x29761,x29763,x29764) % 186.59/186.37 [2977]P27(x29773,x29772,x29774)+~E(x29771,x29772)+~P27(x29773,x29771,x29774) % 186.59/186.37 [2978]P27(x29783,x29784,x29782)+~E(x29781,x29782)+~P27(x29783,x29784,x29781) % 186.59/186.37 [2979]P52(x29792,x29793,x29794)+~E(x29791,x29792)+~P52(x29791,x29793,x29794) % 186.59/186.37 [2980]P52(x29803,x29802,x29804)+~E(x29801,x29802)+~P52(x29803,x29801,x29804) % 186.59/186.37 [2981]P52(x29813,x29814,x29812)+~E(x29811,x29812)+~P52(x29813,x29814,x29811) % 186.59/186.37 [2982]P33(x29822,x29823,x29824)+~E(x29821,x29822)+~P33(x29821,x29823,x29824) % 186.59/186.37 [2983]P33(x29833,x29832,x29834)+~E(x29831,x29832)+~P33(x29833,x29831,x29834) % 186.59/186.37 [2984]P33(x29843,x29844,x29842)+~E(x29841,x29842)+~P33(x29843,x29844,x29841) % 186.59/186.37 [2985]P46(x29852,x29853)+~E(x29851,x29852)+~P46(x29851,x29853) % 186.59/186.37 [2986]P46(x29863,x29862)+~E(x29861,x29862)+~P46(x29863,x29861) % 186.59/186.37 [2987]P36(x29872,x29873)+~E(x29871,x29872)+~P36(x29871,x29873) % 186.59/186.37 [2988]P36(x29883,x29882)+~E(x29881,x29882)+~P36(x29883,x29881) % 186.59/186.37 [2989]~P114(x29891)+P114(x29892)+~E(x29891,x29892) % 186.59/186.37 [2990]P8(x29902,x29903,x29904,x29905,x29906)+~E(x29901,x29902)+~P8(x29901,x29903,x29904,x29905,x29906) % 186.59/186.37 [2991]P8(x29913,x29912,x29914,x29915,x29916)+~E(x29911,x29912)+~P8(x29913,x29911,x29914,x29915,x29916) % 186.59/186.37 [2992]P8(x29923,x29924,x29922,x29925,x29926)+~E(x29921,x29922)+~P8(x29923,x29924,x29921,x29925,x29926) % 186.59/186.37 [2993]P8(x29933,x29934,x29935,x29932,x29936)+~E(x29931,x29932)+~P8(x29933,x29934,x29935,x29931,x29936) % 186.59/186.37 [2994]P8(x29943,x29944,x29945,x29946,x29942)+~E(x29941,x29942)+~P8(x29943,x29944,x29945,x29946,x29941) % 186.59/186.37 [2995]P14(x29952,x29953,x29954)+~E(x29951,x29952)+~P14(x29951,x29953,x29954) % 186.59/186.37 [2996]P14(x29963,x29962,x29964)+~E(x29961,x29962)+~P14(x29963,x29961,x29964) % 186.59/186.37 [2997]P14(x29973,x29974,x29972)+~E(x29971,x29972)+~P14(x29973,x29974,x29971) % 186.59/186.37 [2998]~P4(x29981)+P4(x29982)+~E(x29981,x29982) % 186.59/186.37 [2999]~P115(x29991)+P115(x29992)+~E(x29991,x29992) % 186.59/186.37 [3000]~P147(x30001)+P147(x30002)+~E(x30001,x30002) % 186.59/186.37 [3001]P47(x30012,x30013)+~E(x30011,x30012)+~P47(x30011,x30013) % 186.59/186.37 [3002]P47(x30023,x30022)+~E(x30021,x30022)+~P47(x30023,x30021) % 186.59/186.37 [3003]~P34(x30031)+P34(x30032)+~E(x30031,x30032) % 186.59/186.37 [3004]~P144(x30041)+P144(x30042)+~E(x30041,x30042) % 186.59/186.37 [3005]~P81(x30051)+P81(x30052)+~E(x30051,x30052) % 186.59/186.37 [3006]~P79(x30061)+P79(x30062)+~E(x30061,x30062) % 186.59/186.37 [3007]~P63(x30071)+P63(x30072)+~E(x30071,x30072) % 186.59/186.37 [3008]P6(x30082,x30083,x30084)+~E(x30081,x30082)+~P6(x30081,x30083,x30084) % 186.59/186.37 [3009]P6(x30093,x30092,x30094)+~E(x30091,x30092)+~P6(x30093,x30091,x30094) % 186.59/186.37 [3010]P6(x30103,x30104,x30102)+~E(x30101,x30102)+~P6(x30103,x30104,x30101) % 186.59/186.37 [3011]~P80(x30111)+P80(x30112)+~E(x30111,x30112) % 186.59/186.37 [3012]P30(x30122,x30123,x30124,x30125)+~E(x30121,x30122)+~P30(x30121,x30123,x30124,x30125) % 186.59/186.37 [3013]P30(x30133,x30132,x30134,x30135)+~E(x30131,x30132)+~P30(x30133,x30131,x30134,x30135) % 186.59/186.37 [3014]P30(x30143,x30144,x30142,x30145)+~E(x30141,x30142)+~P30(x30143,x30144,x30141,x30145) % 186.59/186.37 [3015]P30(x30153,x30154,x30155,x30152)+~E(x30151,x30152)+~P30(x30153,x30154,x30155,x30151) % 186.59/186.37 [3016]~P97(x30161)+P97(x30162)+~E(x30161,x30162) % 186.59/186.37 [3017]P48(x30172,x30173)+~E(x30171,x30172)+~P48(x30171,x30173) % 186.59/186.37 [3018]P48(x30183,x30182)+~E(x30181,x30182)+~P48(x30183,x30181) % 186.59/186.37 [3019]P21(x30192,x30193,x30194,x30195,x30196,x30197)+~E(x30191,x30192)+~P21(x30191,x30193,x30194,x30195,x30196,x30197) % 186.59/186.37 [3020]P21(x30203,x30202,x30204,x30205,x30206,x30207)+~E(x30201,x30202)+~P21(x30203,x30201,x30204,x30205,x30206,x30207) % 186.59/186.37 [3021]P21(x30213,x30214,x30212,x30215,x30216,x30217)+~E(x30211,x30212)+~P21(x30213,x30214,x30211,x30215,x30216,x30217) % 186.59/186.37 [3022]P21(x30223,x30224,x30225,x30222,x30226,x30227)+~E(x30221,x30222)+~P21(x30223,x30224,x30225,x30221,x30226,x30227) % 186.59/186.37 [3023]P21(x30233,x30234,x30235,x30236,x30232,x30237)+~E(x30231,x30232)+~P21(x30233,x30234,x30235,x30236,x30231,x30237) % 186.59/186.37 [3024]P21(x30243,x30244,x30245,x30246,x30247,x30242)+~E(x30241,x30242)+~P21(x30243,x30244,x30245,x30246,x30247,x30241) % 186.59/186.37 [3025]P50(x30252,x30253,x30254)+~E(x30251,x30252)+~P50(x30251,x30253,x30254) % 186.59/186.37 [3026]P50(x30263,x30262,x30264)+~E(x30261,x30262)+~P50(x30263,x30261,x30264) % 186.59/186.37 [3027]P50(x30273,x30274,x30272)+~E(x30271,x30272)+~P50(x30273,x30274,x30271) % 186.59/186.37 [3028]~P118(x30281)+P118(x30282)+~E(x30281,x30282) % 186.59/186.37 [3029]~P130(x30291)+P130(x30292)+~E(x30291,x30292) % 186.59/186.37 [3030]~P90(x30301)+P90(x30302)+~E(x30301,x30302) % 186.59/186.37 [3031]~P146(x30311)+P146(x30312)+~E(x30311,x30312) % 186.59/186.37 [3032]P49(x30322,x30323)+~E(x30321,x30322)+~P49(x30321,x30323) % 186.59/186.37 [3033]P49(x30333,x30332)+~E(x30331,x30332)+~P49(x30333,x30331) % 186.59/186.37 [3034]~P25(x30341)+P25(x30342)+~E(x30341,x30342) % 186.59/186.37 [3035]~P136(x30351)+P136(x30352)+~E(x30351,x30352) % 186.59/186.37 [3036]P45(x30362,x30363,x30364)+~E(x30361,x30362)+~P45(x30361,x30363,x30364) % 186.59/186.37 [3037]P45(x30373,x30372,x30374)+~E(x30371,x30372)+~P45(x30373,x30371,x30374) % 186.59/186.37 [3038]P45(x30383,x30384,x30382)+~E(x30381,x30382)+~P45(x30383,x30384,x30381) % 186.59/186.37 [3039]~P121(x30391)+P121(x30392)+~E(x30391,x30392) % 186.59/186.37 [3040]~P133(x30401)+P133(x30402)+~E(x30401,x30402) % 186.59/186.37 [3041]P57(x30412,x30413)+~E(x30411,x30412)+~P57(x30411,x30413) % 186.59/186.37 [3042]P57(x30423,x30422)+~E(x30421,x30422)+~P57(x30423,x30421) % 186.59/186.37 [3043]P28(x30432,x30433,x30434)+~E(x30431,x30432)+~P28(x30431,x30433,x30434) % 186.59/186.37 [3044]P28(x30443,x30442,x30444)+~E(x30441,x30442)+~P28(x30443,x30441,x30444) % 186.59/186.37 [3045]P28(x30453,x30454,x30452)+~E(x30451,x30452)+~P28(x30453,x30454,x30451) % 186.59/186.37 [3046]~P143(x30461)+P143(x30462)+~E(x30461,x30462) % 186.59/186.37 [3047]~P134(x30471)+P134(x30472)+~E(x30471,x30472) % 186.59/186.37 [3048]P40(x30482,x30483,x30484,x30485,x30486,x30487)+~E(x30481,x30482)+~P40(x30481,x30483,x30484,x30485,x30486,x30487) % 186.59/186.37 [3049]P40(x30493,x30492,x30494,x30495,x30496,x30497)+~E(x30491,x30492)+~P40(x30493,x30491,x30494,x30495,x30496,x30497) % 186.59/186.37 [3050]P40(x30503,x30504,x30502,x30505,x30506,x30507)+~E(x30501,x30502)+~P40(x30503,x30504,x30501,x30505,x30506,x30507) % 186.59/186.37 [3051]P40(x30513,x30514,x30515,x30512,x30516,x30517)+~E(x30511,x30512)+~P40(x30513,x30514,x30515,x30511,x30516,x30517) % 186.59/186.37 [3052]P40(x30523,x30524,x30525,x30526,x30522,x30527)+~E(x30521,x30522)+~P40(x30523,x30524,x30525,x30526,x30521,x30527) % 186.59/186.37 [3053]P40(x30533,x30534,x30535,x30536,x30537,x30532)+~E(x30531,x30532)+~P40(x30533,x30534,x30535,x30536,x30537,x30531) % 186.59/186.37 [3054]P151(x30542,x30543)+~E(x30541,x30542)+~P151(x30541,x30543) % 186.59/186.37 [3055]P151(x30553,x30552)+~E(x30551,x30552)+~P151(x30553,x30551) % 186.59/186.37 [3056]~P145(x30561)+P145(x30562)+~E(x30561,x30562) % 186.59/186.37 [3057]~P101(x30571)+P101(x30572)+~E(x30571,x30572) % 186.59/186.37 [3058]P24(x30582,x30583)+~E(x30581,x30582)+~P24(x30581,x30583) % 186.59/186.37 [3059]P24(x30593,x30592)+~E(x30591,x30592)+~P24(x30593,x30591) % 186.59/186.37 [3060]P9(x30602,x30603,x30604,x30605)+~E(x30601,x30602)+~P9(x30601,x30603,x30604,x30605) % 186.59/186.37 [3061]P9(x30613,x30612,x30614,x30615)+~E(x30611,x30612)+~P9(x30613,x30611,x30614,x30615) % 186.59/186.37 [3062]P9(x30623,x30624,x30622,x30625)+~E(x30621,x30622)+~P9(x30623,x30624,x30621,x30625) % 186.59/186.37 [3063]P9(x30633,x30634,x30635,x30632)+~E(x30631,x30632)+~P9(x30633,x30634,x30635,x30631) % 186.59/186.37 [3064]P17(x30642,x30643,x30644,x30645)+~E(x30641,x30642)+~P17(x30641,x30643,x30644,x30645) % 186.59/186.37 [3065]P17(x30653,x30652,x30654,x30655)+~E(x30651,x30652)+~P17(x30653,x30651,x30654,x30655) % 186.59/186.37 [3066]P17(x30663,x30664,x30662,x30665)+~E(x30661,x30662)+~P17(x30663,x30664,x30661,x30665) % 186.59/186.37 [3067]P17(x30673,x30674,x30675,x30672)+~E(x30671,x30672)+~P17(x30673,x30674,x30675,x30671) % 186.59/186.37 [3068]~P138(x30681)+P138(x30682)+~E(x30681,x30682) % 186.59/186.37 [3069]~P88(x30691)+P88(x30692)+~E(x30691,x30692) % 186.59/186.37 [3070]P152(x30702,x30703)+~E(x30701,x30702)+~P152(x30701,x30703) % 186.59/186.37 [3071]P152(x30713,x30712)+~E(x30711,x30712)+~P152(x30713,x30711) % 186.59/186.37 [3072]P19(x30722,x30723,x30724,x30725,x30726)+~E(x30721,x30722)+~P19(x30721,x30723,x30724,x30725,x30726) % 186.59/186.37 [3073]P19(x30733,x30732,x30734,x30735,x30736)+~E(x30731,x30732)+~P19(x30733,x30731,x30734,x30735,x30736) % 186.59/186.37 [3074]P19(x30743,x30744,x30742,x30745,x30746)+~E(x30741,x30742)+~P19(x30743,x30744,x30741,x30745,x30746) % 186.59/186.37 [3075]P19(x30753,x30754,x30755,x30752,x30756)+~E(x30751,x30752)+~P19(x30753,x30754,x30755,x30751,x30756) % 186.59/186.37 [3076]P19(x30763,x30764,x30765,x30766,x30762)+~E(x30761,x30762)+~P19(x30763,x30764,x30765,x30766,x30761) % 186.59/186.37 [3077]~P106(x30771)+P106(x30772)+~E(x30771,x30772) % 186.59/186.37 [3078]P39(x30782,x30783,x30784,x30785)+~E(x30781,x30782)+~P39(x30781,x30783,x30784,x30785) % 186.59/186.37 [3079]P39(x30793,x30792,x30794,x30795)+~E(x30791,x30792)+~P39(x30793,x30791,x30794,x30795) % 186.59/186.37 [3080]P39(x30803,x30804,x30802,x30805)+~E(x30801,x30802)+~P39(x30803,x30804,x30801,x30805) % 186.59/186.37 [3081]P39(x30813,x30814,x30815,x30812)+~E(x30811,x30812)+~P39(x30813,x30814,x30815,x30811) % 186.59/186.37 [3082]~P116(x30821)+P116(x30822)+~E(x30821,x30822) % 186.59/186.37 [3083]~P137(x30831)+P137(x30832)+~E(x30831,x30832) % 186.59/186.37 [3084]~P107(x30841)+P107(x30842)+~E(x30841,x30842) % 186.59/186.37 [3085]P7(x30852,x30853,x30854)+~E(x30851,x30852)+~P7(x30851,x30853,x30854) % 186.59/186.37 [3086]P7(x30863,x30862,x30864)+~E(x30861,x30862)+~P7(x30863,x30861,x30864) % 186.59/186.37 [3087]P7(x30873,x30874,x30872)+~E(x30871,x30872)+~P7(x30873,x30874,x30871) % 186.59/186.37 [3088]P43(x30882,x30883)+~E(x30881,x30882)+~P43(x30881,x30883) % 186.59/186.37 [3089]P43(x30893,x30892)+~E(x30891,x30892)+~P43(x30893,x30891) % 186.59/186.37 [3090]~P135(x30901)+P135(x30902)+~E(x30901,x30902) % 186.59/186.37 [3091]~P123(x30911)+P123(x30912)+~E(x30911,x30912) % 186.59/186.37 [3092]~P62(x30921)+P62(x30922)+~E(x30921,x30922) % 186.59/186.37 [3093]~P89(x30931)+P89(x30932)+~E(x30931,x30932) % 186.59/186.37 [3094]~P131(x30941)+P131(x30942)+~E(x30941,x30942) % 186.59/186.37 [3095]~P122(x30951)+P122(x30952)+~E(x30951,x30952) % 186.59/186.37 [3096]~P75(x30961)+P75(x30962)+~E(x30961,x30962) % 186.59/186.37 [3097]~P77(x30971)+P77(x30972)+~E(x30971,x30972) % 186.59/186.37 [3098]P150(x30982,x30983)+~E(x30981,x30982)+~P150(x30981,x30983) % 186.59/186.37 [3099]P150(x30993,x30992)+~E(x30991,x30992)+~P150(x30993,x30991) % 186.59/186.37 [3100]~P42(x31001)+P42(x31002)+~E(x31001,x31002) % 186.59/186.37 [3101]~P132(x31011)+P132(x31012)+~E(x31011,x31012) % 186.59/186.37 [3102]P41(x31022,x31023)+~E(x31021,x31022)+~P41(x31021,x31023) % 186.59/186.37 [3103]P41(x31033,x31032)+~E(x31031,x31032)+~P41(x31033,x31031) % 186.59/186.37 [3104]~P117(x31041)+P117(x31042)+~E(x31041,x31042) % 186.59/186.37 [3105]P44(x31052,x31053,x31054)+~E(x31051,x31052)+~P44(x31051,x31053,x31054) % 186.59/186.37 [3106]P44(x31063,x31062,x31064)+~E(x31061,x31062)+~P44(x31063,x31061,x31064) % 186.59/186.37 [3107]P44(x31073,x31074,x31072)+~E(x31071,x31072)+~P44(x31073,x31074,x31071) % 186.59/186.37 % 186.59/186.37 %------------------------------------------- % 186.69/186.40 cnf(10493,plain, % 186.69/186.40 (~E(f862(a105,x104931),x104931)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10505,plain, % 186.69/186.40 (~E(f862(a105,x105051),x105051)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10518,plain, % 186.69/186.40 (~E(f862(a105,x105181),x105181)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10523,plain, % 186.69/186.40 (~P1(f862(f862(f165(x105231),f106(x105231)),x105232))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10526,plain, % 186.69/186.40 (~P1(f862(f862(f165(x105261),f106(x105261)),x105262))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10529,plain, % 186.69/186.40 (~E(f862(a105,x105291),x105291)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10532,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x105321),f2(a924)))), % 186.69/186.40 inference(rename_variables,[],[4709])). % 186.69/186.40 cnf(10535,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x105351),f2(a924)))), % 186.69/186.40 inference(rename_variables,[],[4709])). % 186.69/186.40 cnf(10548,plain, % 186.69/186.40 (~P1(f862(f181(f932(x105481,a921)),x105482))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,4668,3309,3353,3419,3350,3360,3508,4709,10532,4706,4678,4712,10523,4711,3499,4698,4731,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216])). % 186.69/186.40 cnf(10552,plain, % 186.69/186.40 (~P1(f862(f862(f227(a924),f862(a105,x105521)),x105521))), % 186.69/186.40 inference(rename_variables,[],[4713])). % 186.69/186.40 cnf(10555,plain, % 186.69/186.40 (~E(f862(f862(f144(x105551),x105552),x105553),x105553)), % 186.69/186.40 inference(rename_variables,[],[4683])). % 186.69/186.40 cnf(10561,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x105611),f2(a924)))), % 186.69/186.40 inference(rename_variables,[],[4709])). % 186.69/186.40 cnf(10563,plain, % 186.69/186.40 (E(f38(a924,f862(f275(x105631,x105631),f255(x105631,f862(f862(f74(a924),x105632),x105633))),x105632),f2(a924))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,4668,3309,3483,3353,3419,3350,3380,3360,4683,3508,4709,10532,10535,4706,4678,4712,10523,4713,4711,3499,4698,4731,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243])). % 186.69/186.40 cnf(10564,plain, % 186.69/186.40 (E(f862(f275(x105641,x105641),f255(x105641,x105642)),x105642)), % 186.69/186.40 inference(rename_variables,[],[3483])). % 186.69/186.40 cnf(10567,plain, % 186.69/186.40 (E(f862(f275(x105671,x105671),f255(x105671,x105672)),x105672)), % 186.69/186.40 inference(rename_variables,[],[3483])). % 186.69/186.40 cnf(10572,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x105721),x105721))), % 186.69/186.40 inference(rename_variables,[],[4705])). % 186.69/186.40 cnf(10577,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x105771),x105772)),x105772))), % 186.69/186.40 inference(rename_variables,[],[4729])). % 186.69/186.40 cnf(10580,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x105801),x105802)),x105802))), % 186.69/186.40 inference(rename_variables,[],[4729])). % 186.69/186.40 cnf(10587,plain, % 186.69/186.40 (~E(x105871,f862(a105,x105871))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,4668,3309,3483,10564,3353,3419,3350,3380,3360,4683,3590,3508,4709,10532,10535,4706,4678,4712,10523,4705,4713,4331,4711,3499,4698,4731,4729,10577,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351])). % 186.69/186.40 cnf(10601,plain, % 186.69/186.40 (~E(f862(a105,x106011),x106011)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10604,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x106041),x106041))), % 186.69/186.40 inference(rename_variables,[],[4705])). % 186.69/186.40 cnf(10607,plain, % 186.69/186.40 (P1(f862(f862(f227(a924),f38(a924,x106071,x106072)),x106071))), % 186.69/186.40 inference(rename_variables,[],[3973])). % 186.69/186.40 cnf(10630,plain, % 186.69/186.40 (E(f862(f28(a924),f862(f292(a924),x106301)),x106301)), % 186.69/186.40 inference(rename_variables,[],[3417])). % 186.69/186.40 cnf(10638,plain, % 186.69/186.40 (~E(f862(a105,x106381),x106381)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10641,plain, % 186.69/186.40 (~E(f862(a105,x106411),x106411)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10644,plain, % 186.69/186.40 (~E(f862(a105,x106441),x106441)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10646,plain, % 186.69/186.40 (P1(f862(a186,a90))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,4668,3309,3483,10564,3353,3419,3350,3380,3360,3453,4683,3417,4736,3437,3590,3508,4709,10532,10535,4098,3528,4706,4678,4712,10523,4705,10572,10604,3615,4034,3973,4713,10552,4331,4711,4695,3499,4696,4698,4731,4729,10577,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493])). % 186.69/186.40 cnf(10649,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x106491),f862(a105,x106491)))), % 186.69/186.40 inference(rename_variables,[],[3590])). % 186.69/186.40 cnf(10658,plain, % 186.69/186.40 (P1(f862(f862(f84(a1),x106581),x106581))), % 186.69/186.40 inference(rename_variables,[],[3524])). % 186.69/186.40 cnf(10665,plain, % 186.69/186.40 (E(f862(f275(x106651,x106651),f255(x106651,x106652)),x106652)), % 186.69/186.40 inference(rename_variables,[],[3483])). % 186.69/186.40 cnf(10668,plain, % 186.69/186.40 (E(f862(f275(x106681,x106681),f255(x106681,x106682)),x106682)), % 186.69/186.40 inference(rename_variables,[],[3483])). % 186.69/186.40 cnf(10687,plain, % 186.69/186.40 (P1(f862(f862(f227(a1),x106871),x106871))), % 186.69/186.40 inference(rename_variables,[],[3526])). % 186.69/186.40 cnf(10692,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x106921),f2(a924)))), % 186.69/186.40 inference(rename_variables,[],[4709])). % 186.69/186.40 cnf(10695,plain, % 186.69/186.40 (P1(f862(f862(f227(f932(x106951,a921)),x106952),f234(f932(x106951,a921))))), % 186.69/186.40 inference(rename_variables,[],[3899])). % 186.69/186.40 cnf(10700,plain, % 186.69/186.40 (~P1(f862(f862(f165(x107001),f106(x107001)),x107002))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10706,plain, % 186.69/186.40 (E(f862(f862(f73(a924),x107061),f864(x107061,x107061)),x107061)), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,4668,3309,3483,10564,10567,10665,3353,3419,3350,3380,3360,3453,4683,3417,4290,4736,3437,3590,10649,3508,4709,10532,10535,10561,3955,4098,3554,3528,4706,4678,4712,10523,10526,4240,3899,3524,10658,3525,3526,4705,10572,10604,3615,4034,3973,10607,4713,10552,4331,4711,4695,3499,4696,4698,4731,3996,4729,10577,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639])). % 186.69/186.40 cnf(10729,plain, % 186.69/186.40 (~E(f862(f862(f144(x107291),x107292),x107293),x107293)), % 186.69/186.40 inference(rename_variables,[],[4683])). % 186.69/186.40 cnf(10732,plain, % 186.69/186.40 (~E(f862(a105,x107321),f2(a924))), % 186.69/186.40 inference(rename_variables,[],[4676])). % 186.69/186.40 cnf(10743,plain, % 186.69/186.40 (P1(f862(f862(f227(a1),x107431),x107431))), % 186.69/186.40 inference(rename_variables,[],[3526])). % 186.69/186.40 cnf(10748,plain, % 186.69/186.40 (~E(f862(a105,x107481),x107481)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10751,plain, % 186.69/186.40 (~P1(f862(f862(f181(f932(x107511,f932(x107512,a921))),x107513),x107514))), % 186.69/186.40 inference(rename_variables,[],[4732])). % 186.69/186.40 cnf(10758,plain, % 186.69/186.40 (P1(f862(f862(f84(a1),x107581),x107581))), % 186.69/186.40 inference(rename_variables,[],[3524])). % 186.69/186.40 cnf(10771,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x107711),f862(a105,x107711)))), % 186.69/186.40 inference(rename_variables,[],[3590])). % 186.69/186.40 cnf(10792,plain, % 186.69/186.40 (P1(f862(f862(f227(f932(x107921,a921)),x107922),f234(f932(x107921,a921))))), % 186.69/186.40 inference(rename_variables,[],[3899])). % 186.69/186.40 cnf(10795,plain, % 186.69/186.40 (~P1(f862(f862(f165(x107951),f106(x107951)),x107952))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10814,plain, % 186.69/186.40 (~P1(f862(f862(f165(x108141),f106(x108141)),x108142))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10821,plain, % 186.69/186.40 (~P1(f862(f862(f165(x108211),f106(x108211)),x108212))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10832,plain, % 186.69/186.40 (~E(f862(a105,x108321),f2(a924))), % 186.69/186.40 inference(rename_variables,[],[4676])). % 186.69/186.40 cnf(10837,plain, % 186.69/186.40 (P1(f862(f862(f321(x108371),x108372),f234(f932(x108371,a921))))), % 186.69/186.40 inference(rename_variables,[],[3673])). % 186.69/186.40 cnf(10846,plain, % 186.69/186.40 (~P1(f862(f862(f165(x108461),f106(x108461)),x108462))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10851,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x108511),f862(a105,x108511)))), % 186.69/186.40 inference(rename_variables,[],[3590])). % 186.69/186.40 cnf(10854,plain, % 186.69/186.40 (~P1(f862(f862(f165(x108541),f106(x108541)),x108542))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10857,plain, % 186.69/186.40 (~P1(f862(f862(f165(x108571),f106(x108571)),x108572))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10860,plain, % 186.69/186.40 (~P1(f862(f55(x108601,x108602,f181(f932(x108601,a921))),x108603))), % 186.69/186.40 inference(rename_variables,[],[4727])). % 186.69/186.40 cnf(10863,plain, % 186.69/186.40 (~P1(f862(f55(x108631,x108632,f181(f932(x108631,a921))),x108633))), % 186.69/186.40 inference(rename_variables,[],[4727])). % 186.69/186.40 cnf(10866,plain, % 186.69/186.40 (~P1(f862(f862(f181(f932(x108661,f932(x108662,a921))),x108663),x108664))), % 186.69/186.40 inference(rename_variables,[],[4732])). % 186.69/186.40 cnf(10869,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),x108691),f2(a924)))), % 186.69/186.40 inference(rename_variables,[],[4709])). % 186.69/186.40 cnf(10874,plain, % 186.69/186.40 (~P1(f862(f862(f165(x108741),f106(x108741)),x108742))), % 186.69/186.40 inference(rename_variables,[],[4712])). % 186.69/186.40 cnf(10884,plain, % 186.69/186.40 (~E(f862(f161(x108841),f862(a105,f862(f862(f127(x108841),f862(f161(x108841),x108842)),f862(f862(f144(x108841),x108843),f106(x108841))))),f862(f862(f144(x108841),x108843),x108842))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,4290,4736,3437,3881,3590,10649,10771,10851,3508,4709,10532,10535,10561,10692,4720,3955,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,3525,3526,10687,4705,10572,10604,3673,3615,4034,3973,10607,4713,10552,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4731,4732,10751,3996,4729,10577,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195])). % 186.69/186.40 cnf(10885,plain, % 186.69/186.40 (~E(f862(a105,x108851),x108851)), % 186.69/186.40 inference(rename_variables,[],[4670])). % 186.69/186.40 cnf(10903,plain, % 186.69/186.40 (P1(f862(f862(f228(a92),f862(a5,x109031)),f862(a5,f862(a105,x109031))))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,4290,4736,3437,3881,3590,10649,10771,10851,3968,3508,4709,10532,10535,10561,10692,4720,3955,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,3525,3526,10687,4705,10572,10604,3673,3615,4034,3973,10607,4713,10552,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4731,4732,10751,3996,4729,10577,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279])). % 186.69/186.40 cnf(10910,plain, % 186.69/186.40 (P1(f862(f862(f84(a1),x109101),x109101))), % 186.69/186.40 inference(rename_variables,[],[3524])). % 186.69/186.40 cnf(10913,plain, % 186.69/186.40 (P1(f862(f862(f227(a924),x109131),f862(f862(f74(a924),x109131),x109131)))), % 186.69/186.40 inference(rename_variables,[],[3781])). % 186.69/186.40 cnf(10915,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x109151),f862(f862(f74(a924),f862(a105,x109151)),f862(a105,x109151))))), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,4290,4736,3437,3881,3590,10649,10771,10851,3968,3508,4709,10532,10535,10561,10692,4720,3955,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,3525,3526,10687,4705,10572,10604,3673,3615,4034,3973,10607,4713,10552,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,3781,10913,4731,4732,10751,3996,4729,10577,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303])). % 186.69/186.40 cnf(10916,plain, % 186.69/186.40 (P1(f862(f862(f227(a924),x109161),f862(f862(f74(a924),x109161),x109161)))), % 186.69/186.40 inference(rename_variables,[],[3781])). % 186.69/186.40 cnf(10919,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x109191),f862(a105,f862(f862(f73(a924),x109192),x109191))))), % 186.69/186.40 inference(rename_variables,[],[3966])). % 186.69/186.40 cnf(10924,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x109241),f862(a105,x109241)))), % 186.69/186.40 inference(rename_variables,[],[3590])). % 186.69/186.40 cnf(10927,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x109271),f862(a105,x109271)))), % 186.69/186.40 inference(rename_variables,[],[3590])). % 186.69/186.40 cnf(10930,plain, % 186.69/186.40 (P1(f862(f862(f321(x109301),x109302),f234(f932(x109301,a921))))), % 186.69/186.40 inference(rename_variables,[],[3673])). % 186.69/186.40 cnf(10949,plain, % 186.69/186.40 (~P1(f862(f862(f227(a924),f862(a105,x109491)),x109491))), % 186.69/186.40 inference(rename_variables,[],[4713])). % 186.69/186.40 cnf(10952,plain, % 186.69/186.40 (~P1(f862(f862(f227(a924),f862(a105,x109521)),x109521))), % 186.69/186.40 inference(rename_variables,[],[4713])). % 186.69/186.40 cnf(10955,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x109551),x109552)),x109552))), % 186.69/186.40 inference(rename_variables,[],[4729])). % 186.69/186.40 cnf(10958,plain, % 186.69/186.40 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x109581),x109582)),x109582))), % 186.69/186.40 inference(rename_variables,[],[4729])). % 186.69/186.40 cnf(10961,plain, % 186.69/186.40 (P1(f862(f234(f932(x109611,a921)),x109612))), % 186.69/186.40 inference(rename_variables,[],[3583])). % 186.69/186.40 cnf(10964,plain, % 186.69/186.40 (E(f862(f28(a924),f862(f292(a924),x109641)),x109641)), % 186.69/186.40 inference(rename_variables,[],[3417])). % 186.69/186.40 cnf(10967,plain, % 186.69/186.40 (P1(f862(f862(f228(a924),x109671),f862(a105,x109671)))), % 186.69/186.40 inference(rename_variables,[],[3590])). % 186.69/186.40 cnf(10974,plain, % 186.69/186.40 (P1(f862(f862(f84(a1),x109741),x109741))), % 186.69/186.40 inference(rename_variables,[],[3524])). % 186.69/186.40 cnf(10979,plain, % 186.69/186.40 (P1(f862(f862(f227(a1),x109791),x109791))), % 186.69/186.40 inference(rename_variables,[],[3526])). % 186.69/186.40 cnf(10988,plain, % 186.69/186.40 (E(f862(f275(x109881,x109881),f255(x109881,x109882)),x109882)), % 186.69/186.40 inference(rename_variables,[],[3483])). % 186.69/186.40 cnf(10991,plain, % 186.69/186.40 (P1(f862(f234(f932(x109911,a921)),x109912))), % 186.69/186.40 inference(rename_variables,[],[3583])). % 186.69/186.40 cnf(10993,plain, % 186.69/186.40 (P29(x109931,f862(f227(a924),f2(a924)),x109932)), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,3968,3508,4709,10532,10535,10561,10692,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,3615,4034,3973,10607,4713,10552,10949,3546,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4734,3781,10913,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513])). % 186.69/186.40 cnf(10994,plain, % 186.69/186.40 (P1(f862(f862(f227(a924),f2(a924)),x109941))), % 186.69/186.40 inference(rename_variables,[],[3546])). % 186.69/186.40 cnf(10996,plain, % 186.69/186.40 (P29(x109961,f862(f227(f932(x109962,a921)),f181(f932(x109962,a921))),x109963)), % 186.69/186.40 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,3968,3508,4709,10532,10535,10561,10692,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,3615,4034,3973,10607,4713,10552,10949,3546,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4734,3965,3781,10913,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514])). % 186.69/186.40 cnf(10997,plain, % 186.69/186.40 (P1(f862(f862(f227(f932(x109971,a921)),f181(f932(x109971,a921))),x109972))), % 186.69/186.40 inference(rename_variables,[],[3965])). % 186.69/186.40 cnf(11000,plain, % 186.69/186.40 (P1(f862(f234(f932(x110001,a921)),x110002))), % 186.69/186.40 inference(rename_variables,[],[3583])). % 186.69/186.40 cnf(11003,plain, % 186.69/186.40 (P1(f862(f234(f932(x110031,a921)),x110032))), % 186.69/186.40 inference(rename_variables,[],[3583])). % 186.69/186.40 cnf(11006,plain, % 186.69/186.41 (P1(f862(f234(f932(x110061,a921)),x110062))), % 186.69/186.41 inference(rename_variables,[],[3583])). % 186.69/186.41 cnf(11008,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(f862(f74(a924),f862(a105,x110081)),f862(a105,x110081))),x110081))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,3968,3508,4709,10532,10535,10561,10692,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,3546,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525])). % 186.69/186.41 cnf(11009,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x110091),f862(f862(f74(a924),x110091),x110091)))), % 186.69/186.41 inference(rename_variables,[],[3781])). % 186.69/186.41 cnf(11013,plain, % 186.69/186.41 (E(f862(f161(x110131),f166(x110132,f862(f862(f127(x110131),f862(f161(x110131),x110133)),f862(f862(f144(x110131),x110134),f106(x110131))),f106(x110132))),f862(f862(f144(x110131),x110134),x110133))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,3968,3508,4709,10532,10535,10561,10692,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,3546,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563])). % 186.69/186.41 cnf(11018,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,f862(a105,f862(f862(f73(a924),x110181),x110182)))),f862(a105,x110182)))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,10967,3968,3508,4709,10532,10535,10561,10692,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,3546,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567])). % 186.69/186.41 cnf(11026,plain, % 186.69/186.41 (~P1(f862(f862(f228(a92),f862(a5,x110261)),f862(a5,f2(a924))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,10967,3968,3508,4709,10532,10535,10561,10692,10869,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,4331,4711,4695,4701,3499,3505,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572])). % 186.69/186.41 cnf(11028,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),f862(a97,a76)),f862(a97,a90)))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,10967,3968,3508,4709,10532,10535,10561,10692,10869,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,4240,4526,3899,10695,3524,10658,10758,10910,3525,3526,10687,10743,4705,10572,10604,3673,10837,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,4331,4711,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573])). % 186.69/186.41 cnf(11049,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x110491),x110491))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11060,plain, % 186.69/186.41 (~P1(f862(f862(f165(x110601),f106(x110601)),x110602))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(11067,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x110671),f862(a105,x110671)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(11069,plain, % 186.69/186.41 (P1(f862(f862(f228(a1),f862(f862(f3(a1),x110691),f71(a1))),x110691))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4150,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,10967,3968,3508,4709,10532,10535,10561,10692,10869,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4240,4526,3899,10695,3524,10658,10758,10910,3525,11049,3526,10687,10743,10979,4705,10572,10604,3673,10837,4716,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,4331,4711,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838])). % 186.69/186.41 cnf(11070,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x110701),x110701))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(11075,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x110751),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(11090,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x110901),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(11093,plain, % 186.69/186.41 (~P1(f862(f862(f228(f932(x110931,a921)),x110932),f181(f932(x110931,a921))))), % 186.69/186.41 inference(rename_variables,[],[4725])). % 186.69/186.41 cnf(11096,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x110961),x110961))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11099,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x110991),x110991))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11113,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x111131),f862(f862(f3(a924),x111131),x111132)))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3453,4683,10555,3417,10630,4290,4150,4736,3437,3881,3818,3590,10649,10771,10851,10924,10927,10967,3968,3508,4709,10532,10535,10561,10692,10869,11075,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,3526,10687,10743,10979,3527,4705,10572,10604,3673,10837,4716,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,4331,4711,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,4731,4732,10751,3996,4729,10577,10580,10955,3966,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003])). % 186.69/186.41 cnf(11114,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x111141),x111141))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(11123,plain, % 186.69/186.41 (~P1(f862(f862(f321(x111231),x111232),f181(f932(x111231,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11130,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x111301),x111301))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11133,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x111331,a921)),f862(f302(x111332,x111331,x111333),f862(f303(x111332,x111331,x111333),x111334))),x111334))), % 186.69/186.41 inference(rename_variables,[],[4386])). % 186.69/186.41 cnf(11142,plain, % 186.69/186.41 (E(f862(f302(x111421,x111421,f7(x111421)),x111422),x111422)), % 186.69/186.41 inference(rename_variables,[],[3579])). % 186.69/186.41 cnf(11147,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x111471))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(11150,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x111501),x111501))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11153,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x111531),x111531))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(11162,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x111621),x111621))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(11173,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x111731),f862(f862(f74(a924),x111731),x111731)))), % 186.69/186.41 inference(rename_variables,[],[3781])). % 186.69/186.41 cnf(11179,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x111791),f862(a105,f862(f862(f73(a924),x111792),x111791))))), % 186.69/186.41 inference(rename_variables,[],[3966])). % 186.69/186.41 cnf(11186,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x111861),x111861))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11189,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x111891),x111891))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(11192,plain, % 186.69/186.41 (~E(f862(a105,x111921),x111921)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11196,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x111961,x111961)),x111962),f299(x111961,f234(f932(f931(x111961,x111961),a921)))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,4716,11123,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,4331,4711,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659])). % 186.69/186.41 cnf(11197,plain, % 186.69/186.41 (P1(f862(f862(f321(x111971),x111972),f234(f932(x111971,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11202,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x112021),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(11204,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x112041,a921)),x112042),f30(f932(x112041,a921),f862(f300(x112041),x112042))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,4716,11123,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,4331,4711,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711])). % 186.69/186.41 cnf(11217,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x112171))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(11224,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x112241),x112241))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11233,plain, % 186.69/186.41 (~P1(f862(f862(f321(x112331),x112332),f181(f932(x112331,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11235,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x112351,a921)),f31(f932(x112351,a921),f862(f300(x112351),x112352))),x112352))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,4716,11123,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987])). % 186.69/186.41 cnf(11237,plain, % 186.69/186.41 (E(f862(f862(f94(f932(x112371,a921)),f862(f862(f94(f932(x112371,a921)),x112372),f862(f72(f932(x112371,a921)),x112373))),x112373),f181(f932(x112371,a921)))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,4716,11123,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989])). % 186.69/186.41 cnf(11240,plain, % 186.69/186.41 (P1(f862(f862(f321(f925(x112401)),x112402),f154(x112401,f234(f932(x112401,a921)))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,4716,11123,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998])). % 186.69/186.41 cnf(11241,plain, % 186.69/186.41 (P1(f862(f862(f321(x112411),x112412),f234(f932(x112411,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11244,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x112441),f925(x112441))),f862(f862(f244(f925(x112441),f925(x112441)),x112442),f106(x112441))),f138(x112441,x112443)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(11253,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x112531,x112531)),x112532),f255(x112531,f181(f932(x112531,a921)))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,4716,11123,11233,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134])). % 186.69/186.41 cnf(11254,plain, % 186.69/186.41 (~P1(f862(f862(f321(x112541),x112542),f181(f932(x112541,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11256,plain, % 186.69/186.41 (~P1(f862(f862(f321(x112561),x112562),f862(f303(x112561,x112563,x112564),f181(f932(x112563,a921)))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,4716,11123,11233,11254,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3965,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167])). % 186.69/186.41 cnf(11257,plain, % 186.69/186.41 (~P1(f862(f862(f321(x112571),x112572),f181(f932(x112571,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11260,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x112601,a921)),x112602),f862(f862(f301(x112601),x112603),x112602)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(11263,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x112631),x112631))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(11266,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x112661,a921)),x112662),f862(f862(f301(x112661),x112663),x112662)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(11269,plain, % 186.69/186.41 (E(f862(f302(x112691,x112691,f7(x112691)),x112692),x112692)), % 186.69/186.41 inference(rename_variables,[],[3579])). % 186.69/186.41 cnf(11271,plain, % 186.69/186.41 (P32(x112711,x112712,x112713,f107(x112711,f106(x112711)),f106(x112712))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,4668,3309,3364,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,11142,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,4716,11123,11233,11254,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,3963,11260,3965,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274])). % 186.69/186.41 cnf(11284,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x112841,a921)),x112842),f862(f862(f301(x112841),x112843),x112842)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(11295,plain, % 186.69/186.41 (~E(f862(a105,x112951),f2(a924))), % 186.69/186.41 inference(rename_variables,[],[4676])). % 186.69/186.41 cnf(11298,plain, % 186.69/186.41 (~P1(f862(f862(f165(x112981),f106(x112981)),x112982))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(11302,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),f862(a105,x113021)),x113021)),f299(a924,a309)))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,4676,10732,10832,4668,3309,3364,3483,10564,10567,10665,10668,3460,3353,3419,3350,3380,3360,3987,3579,11142,3453,4683,10555,3417,10630,4290,4150,4736,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,3882,4240,4526,3899,10695,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,4716,11123,11233,11254,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,4116,3963,11260,11266,3965,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597])). % 186.69/186.41 cnf(11311,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x113111),f862(a105,x113111)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(11321,plain, % 186.69/186.41 (~E(f862(f302(x113211,f932(x113211,a921),x113212),x113213),f862(f300(x113211),x113213))), % 186.69/186.41 inference(rename_variables,[],[4714])). % 186.69/186.41 cnf(11324,plain, % 186.69/186.41 (~P1(f862(f862(f321(x113241),x113242),f181(f932(x113241,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11327,plain, % 186.69/186.41 (~P1(f862(f862(f321(x113271),x113272),f181(f932(x113271,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11330,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x113301,x113301)),f862(f862(f244(x113301,x113301),x113302),x113303)),f146(x113301,f106(f932(x113301,a924)))))), % 186.69/186.41 inference(rename_variables,[],[4734])). % 186.69/186.41 cnf(11333,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x113331,x113331)),f862(f862(f244(x113331,x113331),x113332),x113333)),f146(x113331,f106(f932(x113331,a924)))))), % 186.69/186.41 inference(rename_variables,[],[4734])). % 186.69/186.41 cnf(11338,plain, % 186.69/186.41 (~P1(f862(f862(f321(x113381),x113382),f181(f932(x113381,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11341,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x113411,x113411)),f862(f862(f244(x113411,x113411),x113412),x113412)),f299(x113411,x113413)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(11344,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x113441,a921)),f862(f165(x113441),f169(x113441,x113442,x113443))),f862(f165(x113441),x113442)))), % 186.69/186.41 inference(rename_variables,[],[4206])). % 186.69/186.41 cnf(11347,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x113471,a921)),x113472),f234(f932(x113471,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(11363,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x113631,a921)),f181(f932(x113631,a921))),x113632))), % 186.69/186.41 inference(rename_variables,[],[3965])). % 186.69/186.41 cnf(11374,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x113741),f925(x113741))),f862(f862(f244(f925(x113741),f925(x113741)),x113742),f106(x113741))),f140(x113741,x113743)))), % 186.69/186.41 inference(rename_variables,[],[4737])). % 186.69/186.41 cnf(11385,plain, % 186.69/186.41 (~E(f862(a105,x113851),x113851)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11388,plain, % 186.69/186.41 (~E(f862(a105,x113881),x113881)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11392,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f925(x113921),f925(x113921))),f862(f862(f244(f925(x113921),f925(x113921)),f106(x113921)),f106(x113921))),f862(f862(f280(f925(x113921),f925(x113921),f925(x113921)),f151(x113921,x113922)),f299(f925(x113921),f151(x113921,x113922)))))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,4676,10732,10832,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,3417,10630,4290,4150,11341,4736,11244,4737,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,4716,11123,11233,11254,11257,11324,11327,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827])). % 186.69/186.41 cnf(11395,plain, % 186.69/186.41 (~E(f862(a105,x113951),f2(a924))), % 186.69/186.41 inference(rename_variables,[],[4676])). % 186.69/186.41 cnf(11397,plain, % 186.69/186.41 (E(f862(x113971,f862(f86(x113972,x113973,f234(f932(x113972,a921)),x113971),f862(x113971,x113974))),f862(x113971,x113974))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,3417,10630,4290,4150,11341,4736,11244,4737,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,4716,11123,11233,11254,11257,11324,11327,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841])). % 186.69/186.41 cnf(11400,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x114001,a921)),x114002),x114002))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(11407,plain, % 186.69/186.41 (~E(f862(a105,x114071),x114071)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11410,plain, % 186.69/186.41 (~E(f862(a105,x114101),x114101)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11412,plain, % 186.69/186.41 (~P23(x114121,f932(x114121,a921),x114122,x114123,f862(f300(x114121),x114123))), % 186.69/186.41 inference(scs_inference,[],[4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3417,10630,4290,4150,11341,4736,11244,4737,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,4716,11123,11233,11254,11257,11324,11327,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880])). % 186.69/186.41 cnf(11415,plain, % 186.69/186.41 (P22(x114151,x114151,f7(x114151),x114152)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(11420,plain, % 186.69/186.41 (~E(f862(f302(x114201,f932(x114201,a921),x114202),x114203),f862(f300(x114201),x114203))), % 186.69/186.41 inference(rename_variables,[],[4714])). % 186.69/186.41 cnf(11425,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x114251,a921)),x114252),f234(f932(x114251,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(11441,plain, % 186.69/186.41 (~P1(f862(f862(f321(x114411),x114412),f181(f932(x114411,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11444,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x114441)),x114441))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(11449,plain, % 186.69/186.41 (~P1(f862(f862(f321(x114491),x114492),f181(f932(x114491,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11459,plain, % 186.69/186.41 (~P1(f862(f862(f321(a924),f862(a105,f862(f135(a924,a924,f73(a924),f2(a924)),x114591))),f862(f165(a924),x114591)))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,4737,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,4716,11123,11233,11254,11257,11324,11327,11338,11441,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067])). % 186.69/186.41 cnf(11460,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x114601)),x114601))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(11463,plain, % 186.69/186.41 (~P1(f862(f862(f321(x114631),x114632),f181(f932(x114631,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11469,plain, % 186.69/186.41 (E(f862(f129(x114691,f234(f932(x114692,a921))),f748(x114693,x114694,f862(f862(f144(x114691),x114694),x114693),f234(f932(x114692,a921)),x114691)),x114693)), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,4737,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144])). % 186.69/186.41 cnf(11472,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x114721,x114721)),f862(f862(f244(x114721,x114721),x114722),x114722)),f299(x114721,x114723)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(11475,plain, % 186.69/186.41 (P1(f862(f862(f321(x114751),x114752),f234(f932(x114751,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11478,plain, % 186.69/186.41 (P1(f862(f862(f321(x114781),x114782),f234(f932(x114781,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11485,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x114851),f925(x114851))),f862(f862(f244(f925(x114851),f925(x114851)),x114852),f106(x114851))),f138(x114851,x114853)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(11488,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x114881),f925(x114881))),f862(f862(f244(f925(x114881),f925(x114881)),x114882),f106(x114881))),f140(x114881,x114883)))), % 186.69/186.41 inference(rename_variables,[],[4737])). % 186.69/186.41 cnf(11491,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x114911),f925(x114911))),f862(f862(f244(f925(x114911),f925(x114911)),x114912),f106(x114911))),f150(x114911,x114913)))), % 186.69/186.41 inference(rename_variables,[],[4738])). % 186.69/186.41 cnf(11493,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x114931),f925(x114931))),f862(f862(f244(f925(x114931),f925(x114931)),f106(x114931)),x114932)),f862(f277(f925(x114931),f925(x114931)),f138(x114931,x114933))))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,4725,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281])). % 186.69/186.41 cnf(11496,plain, % 186.69/186.41 (~P1(f862(f862(f228(f932(x114961,a921)),x114962),f181(f932(x114961,a921))))), % 186.69/186.41 inference(rename_variables,[],[4725])). % 186.69/186.41 cnf(11498,plain, % 186.69/186.41 (~P1(f862(f862(f321(x114981),x114982),f862(f302(x114983,x114981,x114984),f181(f932(x114983,a921)))))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307])). % 186.69/186.41 cnf(11499,plain, % 186.69/186.41 (~P1(f862(f862(f321(x114991),x114992),f181(f932(x114991,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11503,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115031,a921)),x115032),f862(f862(f103(f932(x115031,a921)),x115033),f234(f932(x115031,a921)))))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337])). % 186.69/186.41 cnf(11504,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115041,a921)),x115042),f234(f932(x115041,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(11510,plain, % 186.69/186.41 (~P1(f862(f862(f247(x115101,x115102,a921,f862(f165(x115103),f106(x115103))),x115104),x115105))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,4116,3963,11260,11266,3814,3965,10997,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445])). % 186.69/186.41 cnf(11511,plain, % 186.69/186.41 (~P1(f862(f862(f165(x115111),f106(x115111)),x115112))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(11516,plain, % 186.69/186.41 (~P1(f862(f862(f321(x115161),x115162),f181(f932(x115161,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11519,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x115191,x115191)),f862(f862(f244(x115191,x115191),x115192),x115193)),f146(x115191,f106(f932(x115191,a924)))))), % 186.69/186.41 inference(rename_variables,[],[4734])). % 186.69/186.41 cnf(11522,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115221,a921)),x115222),x115222))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(11525,plain, % 186.69/186.41 (~P1(f862(f862(f321(x115251),x115252),f181(f932(x115251,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11527,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115271,a921)),f862(f276(x115272,x115271,f181(f932(f931(x115272,x115271),a921))),x115273)),x115274))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512])). % 186.69/186.41 cnf(11528,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115281,a921)),f181(f932(x115281,a921))),x115282))), % 186.69/186.41 inference(rename_variables,[],[3965])). % 186.69/186.41 cnf(11531,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x115311,x115311)),f862(f862(f244(x115311,x115311),x115312),x115312)),f299(x115311,x115313)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(11533,plain, % 186.69/186.41 (~P32(x115331,x115332,x115333,f862(f862(f147(x115334,x115331),x115335),f862(a105,f106(x115334))),f106(x115332))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520])). % 186.69/186.41 cnf(11536,plain, % 186.69/186.41 (~E(f862(f862(f144(x115361),x115362),x115363),f106(x115361))), % 186.69/186.41 inference(rename_variables,[],[4686])). % 186.69/186.41 cnf(11540,plain, % 186.69/186.41 (P32(x115401,x115402,x115403,f862(f862(f147(x115404,x115401),x115405),f107(x115404,f106(x115404))),f106(x115402))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,4738,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544])). % 186.69/186.41 cnf(11544,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x115441),f925(x115441))),f862(f862(f244(f925(x115441),f925(x115441)),x115442),f106(x115441))),f862(f277(f925(x115441),f925(x115441)),f150(x115441,x115443))))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,4738,11491,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637])). % 186.69/186.41 cnf(11545,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x115451),f925(x115451))),f862(f862(f244(f925(x115451),f925(x115451)),x115452),f106(x115451))),f150(x115451,x115453)))), % 186.69/186.41 inference(rename_variables,[],[4738])). % 186.69/186.41 cnf(11552,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x115521),f925(x115521))),f862(f862(f244(f925(x115521),f925(x115521)),f106(x115521)),x115522)),f138(x115521,x115523)))), % 186.69/186.41 inference(rename_variables,[],[4739])). % 186.69/186.41 cnf(11557,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f932(x115571,a921),f932(x115571,a921))),f862(f862(f244(f932(x115571,a921),f932(x115571,a921)),x115572),f181(f932(x115571,a921)))),f306(x115571)))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,4738,11491,4739,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682])). % 186.69/186.41 cnf(11560,plain, % 186.69/186.41 (P1(f862(f862(f321(x115601),x115602),f234(f932(x115601,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11565,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115651,a921)),f181(f932(x115651,a921))),x115652))), % 186.69/186.41 inference(rename_variables,[],[3965])). % 186.69/186.41 cnf(11568,plain, % 186.69/186.41 (~P1(f862(f862(f321(x115681),x115682),f181(f932(x115681,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11571,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115711,a921)),x115712),f234(f932(x115711,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(11575,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115751,a921)),f862(f276(x115752,x115751,x115753),f181(f932(x115752,a921)))),x115754))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,4738,11491,4739,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791])). % 186.69/186.41 cnf(11576,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x115761,a921)),f181(f932(x115761,a921))),x115762))), % 186.69/186.41 inference(rename_variables,[],[3965])). % 186.69/186.41 cnf(11578,plain, % 186.69/186.41 (~P1(f862(f59(a1,x115781,x115782,x115783,f234(f932(a1,a921))),x115784))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,4738,11491,4739,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,3583,10961,10991,11000,11003,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812])). % 186.69/186.41 cnf(11589,plain, % 186.69/186.41 (P1(f862(f234(f932(x115891,a921)),x115892))), % 186.69/186.41 inference(rename_variables,[],[3583])). % 186.69/186.41 cnf(11597,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x115971),f925(x115971))),f862(f862(f244(f925(x115971),f925(x115971)),x115972),f106(x115971))),f138(x115971,x115973)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(11600,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x116001),f925(x116001))),f862(f862(f244(f925(x116001),f925(x116001)),x116002),f106(x116001))),f140(x116001,x116003)))), % 186.69/186.41 inference(rename_variables,[],[4737])). % 186.69/186.41 cnf(11603,plain, % 186.69/186.41 (~E(f862(f862(f144(x116031),x116032),x116033),x116033)), % 186.69/186.41 inference(rename_variables,[],[4683])). % 186.69/186.41 cnf(11606,plain, % 186.69/186.41 (~E(f862(a105,x116061),x116061)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11608,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116081),x116082),f862(f276(x116083,x116081,x116084),f181(f932(x116083,a921)))))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,4737,11374,11488,4738,11491,4739,11552,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,3583,10961,10991,11000,11003,11006,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929])). % 186.69/186.41 cnf(11609,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116091),x116092),f181(f932(x116091,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11614,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116141),x116142),f181(f932(x116141,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11617,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116171),x116172),f181(f932(x116171,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11620,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f925(x116201),f925(x116201))),f862(f862(f244(f925(x116201),f925(x116201)),x116202),x116202)),f151(x116201,f299(x116201,x116203))))), % 186.69/186.41 inference(rename_variables,[],[4283])). % 186.69/186.41 cnf(11623,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116231),x116232),f181(f932(x116231,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11626,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x116261),f925(x116261))),f862(f862(f244(f925(x116261),f925(x116261)),x116262),f106(x116261))),f138(x116261,x116263)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(11630,plain, % 186.69/186.41 (E(f862(f862(f144(x116301),f661(f299(x116301,x116302),f862(f862(f144(x116301),x116303),x116304),x116304,x116303,x116301)),f662(f299(x116301,x116302),f862(f862(f144(x116301),x116303),x116304),x116304,x116303,x116301)),f862(f862(f144(x116301),x116303),x116304))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,11597,4737,11374,11488,4738,11491,4739,11552,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4283,11620,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,3583,10961,10991,11000,11003,11006,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988])). % 186.69/186.41 cnf(11636,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x116361,x116361)),f862(f862(f244(x116361,x116361),x116362),x116363)),f146(x116361,f106(f932(x116361,a924)))))), % 186.69/186.41 inference(rename_variables,[],[4734])). % 186.69/186.41 cnf(11639,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116391),x116392),f181(f932(x116391,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11642,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116421),x116422),f181(f932(x116421,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11645,plain, % 186.69/186.41 (P1(f862(f862(f321(x116451),x116452),f234(f932(x116451,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11648,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x116481),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(11657,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x116571,x116571)),f862(f862(f244(x116571,x116571),x116572),x116573)),f146(x116571,f106(f932(x116571,a924)))))), % 186.69/186.41 inference(rename_variables,[],[4734])). % 186.69/186.41 cnf(11666,plain, % 186.69/186.41 (~E(f862(f302(x116661,f932(x116661,a921),x116662),x116663),f862(f300(x116661),x116663))), % 186.69/186.41 inference(rename_variables,[],[4714])). % 186.69/186.41 cnf(11669,plain, % 186.69/186.41 (~E(f862(f302(x116691,f932(x116691,a921),x116692),x116693),f862(f300(x116691),x116693))), % 186.69/186.41 inference(rename_variables,[],[4714])). % 186.69/186.41 cnf(11671,plain, % 186.69/186.41 (E(f862(f862(f244(a924,a924),f652(f299(a924,a309),a309,a924,f862(f862(f244(a924,a924),x116711),f862(a105,x116711)),a924,a924)),f653(f299(a924,a309),a309,a924,f862(f862(f244(a924,a924),x116711),f862(a105,x116711)),a924,a924)),f862(f862(f244(a924,a924),x116711),f862(a105,x116711)))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,11420,11666,3626,3417,10630,4290,4150,11341,11472,4736,11244,11485,11597,4737,11374,11488,4738,11491,4739,11552,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4283,11620,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,11560,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,3583,10961,10991,11000,11003,11006,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,11519,11636,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179])). % 186.69/186.41 cnf(11674,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x116741),f925(x116741))),f862(f862(f244(f925(x116741),f925(x116741)),x116742),f106(x116741))),f138(x116741,x116743)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(11680,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x116801),f925(x116801))),f862(f862(f244(f925(x116801),f925(x116801)),x116802),f106(x116801))),f138(x116801,x116803)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(11683,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116831),x116832),f181(f932(x116831,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11685,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x116851,x116852)),f862(f862(f244(x116851,x116852),f862(x116853,x116854)),f862(x116855,x116854))),f862(f302(f931(x116856,x116856),f931(x116851,x116852),f250(x116856,x116851,x116856,x116852,x116853,x116855)),f299(x116856,x116857))))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,4676,10732,10832,11295,4668,3309,3364,3483,10564,10567,10665,10668,3460,3975,3353,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,11420,11666,3626,3417,10630,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,4709,10532,10535,10561,10692,10869,11075,11090,11202,4720,3955,3727,4098,3552,3554,3528,4706,4678,4283,11620,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,11560,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,3583,10961,10991,11000,11003,11006,3615,4034,3973,10607,4713,10552,10949,10952,11444,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4698,4727,10860,4734,11330,11333,11519,11636,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311])). % 186.69/186.41 cnf(11688,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116881),x116882),f181(f932(x116881,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11691,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116911),x116912),f181(f932(x116911,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11694,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116941),x116942),f181(f932(x116941,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11697,plain, % 186.69/186.41 (~P1(f862(f862(f321(x116971),x116972),f181(f932(x116971,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11700,plain, % 186.69/186.41 (P1(f862(f862(f321(x117001),f862(x117002,x117003)),f862(f302(x117004,x117001,x117002),f234(f932(x117004,a921)))))), % 186.69/186.41 inference(rename_variables,[],[4116])). % 186.69/186.41 cnf(11703,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x117031,x117031)),f862(f862(f244(x117031,x117031),x117032),x117033)),f146(x117031,f106(f932(x117031,a924)))))), % 186.69/186.41 inference(rename_variables,[],[4734])). % 186.69/186.41 cnf(11711,plain, % 186.69/186.41 (E(f107(x117111,f106(x117111)),f106(x117111))), % 186.69/186.41 inference(rename_variables,[],[3364])). % 186.69/186.41 cnf(11714,plain, % 186.69/186.41 (~E(f862(a105,x117141),x117141)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11721,plain, % 186.69/186.41 (~E(f862(a105,x117211),x117211)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11726,plain, % 186.69/186.41 (E(f862(f275(x117261,x117261),f255(x117261,x117262)),x117262)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(11729,plain, % 186.69/186.41 (E(f862(f275(x117291,x117291),f255(x117291,x117292)),x117292)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(11735,plain, % 186.69/186.41 (~E(f862(a105,x117351),x117351)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11740,plain, % 186.69/186.41 (~E(f862(f862(f73(a1),x117401),x117401),a90)), % 186.69/186.41 inference(rename_variables,[],[4681])). % 186.69/186.41 cnf(11747,plain, % 186.69/186.41 (E(f862(f862(f3(a924),f2(a924)),x117471),f2(a924))), % 186.69/186.41 inference(rename_variables,[],[3438])). % 186.69/186.41 cnf(11750,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x117501),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(11757,plain, % 186.69/186.41 (E(f862(f862(f73(a1),f862(f862(f74(a1),x117571),f862(f862(f29(a1),x117572),x117571))),f38(a1,x117572,x117571)),x117572)), % 186.69/186.41 inference(rename_variables,[],[4066])). % 186.69/186.41 cnf(11783,plain, % 186.69/186.41 (~E(f862(a105,x117831),x117831)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11786,plain, % 186.69/186.41 (~E(f862(a105,x117861),x117861)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11812,plain, % 186.69/186.41 (~P1(f862(f862(f165(x118121),f106(x118121)),x118122))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(11818,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),f2(a924)),f862(a105,x118181)))), % 186.69/186.41 inference(rename_variables,[],[3602])). % 186.69/186.41 cnf(11819,plain, % 186.69/186.41 (~E(f862(a105,x118191),x118191)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11822,plain, % 186.69/186.41 (P1(f862(f862(f321(x118221),x118222),f234(f932(x118221,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(11836,plain, % 186.69/186.41 (~E(f862(a105,x118361),x118361)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11839,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x118391),x118391))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(11846,plain, % 186.69/186.41 (P1(f862(f59(x118461,x118462,x118463,x118464,f181(f932(x118461,a921))),x118464))), % 186.69/186.41 inference(rename_variables,[],[4425])). % 186.69/186.41 cnf(11847,plain, % 186.69/186.41 (E(f862(f275(x118471,x118471),f255(x118471,x118472)),x118472)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(11860,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x118601),x118602)),x118602))), % 186.69/186.41 inference(rename_variables,[],[4729])). % 186.69/186.41 cnf(11863,plain, % 186.69/186.41 (~P1(f862(f862(f228(a1),f862(f93(a1),x118631)),f2(a1)))), % 186.69/186.41 inference(rename_variables,[],[4720])). % 186.69/186.41 cnf(11879,plain, % 186.69/186.41 (~E(f862(f862(f94(a924),f862(a105,x118791)),x118791),f862(a105,x118791))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,3442,4676,10732,10832,11295,4668,3117,3123,3132,3136,3137,3140,3148,3151,3160,3166,3171,3174,3183,3206,3207,3225,3260,3279,3280,3285,3293,3309,4667,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,3460,3975,3353,4066,11757,3419,3350,3380,3360,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,3602,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,4720,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,11560,11645,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,3583,10961,10991,11000,11003,11006,3615,4034,3973,10607,4713,10552,10949,10952,11444,11460,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,10958,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542])). % 186.69/186.41 cnf(11886,plain, % 186.69/186.41 (E(f862(f275(x118861,x118861),f255(x118861,x118862)),x118862)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(11891,plain, % 186.69/186.41 (E(f862(f275(x118911,x118911),f255(x118911,x118912)),x118912)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(11894,plain, % 186.69/186.41 (~P1(f862(f862(f228(a1),f862(f93(a1),x118941)),f2(a1)))), % 186.69/186.41 inference(rename_variables,[],[4720])). % 186.69/186.41 cnf(11899,plain, % 186.69/186.41 (~E(f862(a105,x118991),x118991)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11908,plain, % 186.69/186.41 (~P1(f862(f862(f165(x119081),f106(x119081)),x119082))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(11929,plain, % 186.69/186.41 (~P1(f862(f862(f228(a1),f862(f93(a1),x119291)),f2(a1)))), % 186.69/186.41 inference(rename_variables,[],[4720])). % 186.69/186.41 cnf(11932,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x119321),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(11933,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x119331),f862(a105,x119331)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(11936,plain, % 186.69/186.41 (~P1(f862(f862(f228(a1),f862(f93(a1),x119361)),f2(a1)))), % 186.69/186.41 inference(rename_variables,[],[4720])). % 186.69/186.41 cnf(11938,plain, % 186.69/186.41 (~P13(x119381,f321(f932(x119382,a921)))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,3442,4676,10732,10832,11295,4668,3117,3123,3132,3133,3136,3137,3140,3148,3149,3151,3152,3160,3166,3171,3174,3183,3206,3207,3225,3260,3279,3280,3285,3293,3309,4667,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,3460,3975,3353,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,3968,3508,3602,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,4720,11863,11894,11929,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,3673,10837,10930,11197,11241,11475,11478,11560,11645,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,4713,10552,10949,10952,11444,11460,3546,10994,11147,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,10958,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701])). % 186.69/186.41 cnf(11939,plain, % 186.69/186.41 (~P1(f862(f862(f321(x119391),x119392),f181(f932(x119391,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(11940,plain, % 186.69/186.41 (P1(f862(f862(f321(f932(x119401,a921)),x119402),f862(f300(x119401),x119402)))), % 186.69/186.41 inference(rename_variables,[],[3882])). % 186.69/186.41 cnf(11955,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x119551)),x119551))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(11956,plain, % 186.69/186.41 (~E(f862(a105,x119561),x119561)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11959,plain, % 186.69/186.41 (E(f862(f275(x119591,x119591),f255(x119591,x119592)),x119592)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(11969,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x119691),x119692)),x119691))), % 186.69/186.41 inference(rename_variables,[],[4730])). % 186.69/186.41 cnf(11972,plain, % 186.69/186.41 (~P1(f862(f862(f228(a1),f862(f93(a1),x119721)),f2(a1)))), % 186.69/186.41 inference(rename_variables,[],[4720])). % 186.69/186.41 cnf(11975,plain, % 186.69/186.41 (~E(f862(a105,x119751),x119751)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(11988,plain, % 186.69/186.41 (P1(f862(f862(f321(x119881),x119882),f862(f862(f301(x119881),x119882),x119883)))), % 186.69/186.41 inference(rename_variables,[],[3830])). % 186.69/186.41 cnf(11989,plain, % 186.69/186.41 (~P1(f862(f862(f227(a1),f2(a1)),f862(f72(a1),f862(f93(a1),f862(a105,x119891)))))), % 186.69/186.41 inference(rename_variables,[],[4731])). % 186.69/186.41 cnf(11992,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),f862(f862(f3(a924),x119921),x119922)),f862(a105,x119921)))), % 186.69/186.41 inference(rename_variables,[],[3968])). % 186.69/186.41 cnf(11995,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f38(a924,x119951,x119952)),x119951))), % 186.69/186.41 inference(rename_variables,[],[3973])). % 186.69/186.41 cnf(12001,plain, % 186.69/186.41 (E(f862(f275(x120011,x120011),f255(x120011,x120012)),x120012)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12006,plain, % 186.69/186.41 (E(f862(f862(f127(x120061),f162(x120061,x120062,x120063)),f162(x120061,x120064,x120063)),f862(f862(f127(x120061),f162(x120061,x120064,x120063)),f162(x120061,x120062,x120063)))), % 186.69/186.41 inference(rename_variables,[],[4080])). % 186.69/186.41 cnf(12011,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x120111)),x120111))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12020,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x120201),x120201))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12023,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f38(a924,x120231,x120232)),x120231))), % 186.69/186.41 inference(rename_variables,[],[3973])). % 186.69/186.41 cnf(12024,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x120241))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(12026,plain, % 186.69/186.41 (~P1(f862(f862(f227(a1),f71(a1)),f2(a1)))), % 186.69/186.41 inference(scs_inference,[],[3758,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3442,4676,10732,10832,11295,4668,3117,3122,3123,3132,3133,3136,3137,3140,3148,3149,3151,3152,3160,3166,3171,3174,3183,3206,3207,3225,3260,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,3968,3508,3602,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,4720,11863,11894,11929,11936,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,4705,10572,10604,11114,11153,11162,3673,10837,10930,11197,11241,11475,11478,11560,11645,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,4713,10552,10949,10952,11444,11460,11955,3546,10994,11147,11217,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,4732,10751,4386,4294,3996,4729,10577,10580,10955,10958,4730,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988])). % 186.69/186.41 cnf(12041,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x120411),x120411))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12044,plain, % 186.69/186.41 (P1(f862(f862(f321(x120441),f862(x120442,x120443)),f862(f302(x120444,x120441,x120442),f234(f932(x120444,a921)))))), % 186.69/186.41 inference(rename_variables,[],[4116])). % 186.69/186.41 cnf(12045,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x120451)),x120451))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12048,plain, % 186.69/186.41 (P1(f862(f862(f321(x120481),f862(x120482,x120483)),f862(f302(x120484,x120481,x120482),f234(f932(x120484,a921)))))), % 186.69/186.41 inference(rename_variables,[],[4116])). % 186.69/186.41 cnf(12049,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x120491),x120492)),x120492))), % 186.69/186.41 inference(rename_variables,[],[4729])). % 186.69/186.41 cnf(12054,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x120541),x120542)),x120541))), % 186.69/186.41 inference(rename_variables,[],[4730])). % 186.69/186.41 cnf(12057,plain, % 186.69/186.41 (~P1(f862(f862(f165(x120571),f106(x120571)),x120572))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(12060,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x120601),x120601))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12068,plain, % 186.69/186.41 (~P33(x120681,x120682,f106(x120681))), % 186.69/186.41 inference(rename_variables,[],[4690])). % 186.69/186.41 cnf(12071,plain, % 186.69/186.41 (P1(f862(f862(f321(x120711),x120712),f234(f932(x120711,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(12072,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x120721)),x120721))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12085,plain, % 186.69/186.41 (~P1(f862(f862(f321(x120851),x120852),f181(f932(x120851,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12088,plain, % 186.69/186.41 (E(f862(f862(f18(x120881,x120882),x120883),x120884),x120883)), % 186.69/186.41 inference(rename_variables,[],[3515])). % 186.69/186.41 cnf(12091,plain, % 186.69/186.41 (E(f862(f862(f18(x120911,x120912),x120913),x120914),x120913)), % 186.69/186.41 inference(rename_variables,[],[3515])). % 186.69/186.41 cnf(12103,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),f2(a924)),f862(a105,x121031)))), % 186.69/186.41 inference(rename_variables,[],[3602])). % 186.69/186.41 cnf(12106,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x121061),x121061))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12109,plain, % 186.69/186.41 (P1(f862(f54(x121091),f862(f165(x121091),x121092)))), % 186.69/186.41 inference(rename_variables,[],[3564])). % 186.69/186.41 cnf(12112,plain, % 186.69/186.41 (P1(f862(f54(x121121),f862(f165(x121121),x121122)))), % 186.69/186.41 inference(rename_variables,[],[3564])). % 186.69/186.41 cnf(12115,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),f862(f72(a1),f862(f93(a1),x121151))),f862(f93(a1),x121152)))), % 186.69/186.41 inference(rename_variables,[],[3997])). % 186.69/186.41 cnf(12118,plain, % 186.69/186.41 (~P1(f862(f862(f321(x121181),x121182),f181(f932(x121181,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12132,plain, % 186.69/186.41 (~P1(f862(f862(f321(a924),f2(a924)),f862(f293(a924),x121321)))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3160,3166,3171,3174,3183,3206,3207,3225,3260,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,4720,11863,11894,11929,11936,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,3598,4705,10572,10604,11114,11153,11162,12020,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,3546,10994,11147,11217,3997,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340])). % 186.69/186.41 cnf(12134,plain, % 186.69/186.41 (~P1(f862(f862(f321(a924),x121341),f862(f292(a924),f2(a924))))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3160,3166,3171,3174,3183,3206,3207,3225,3260,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,4720,11863,11894,11929,11936,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,3527,3598,4705,10572,10604,11114,11153,11162,12020,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,3546,10994,11147,11217,3997,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341])). % 186.69/186.41 cnf(12137,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x121371),x121371))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12140,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x121401),f862(a105,x121401)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12143,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x121431),x121431))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12154,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x121541),x121541))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12157,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x121571),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12162,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x121621),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12171,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x121711))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(12172,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x121721)),x121721))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12175,plain, % 186.69/186.41 (~P1(f862(f862(f165(x121751),f106(x121751)),x121752))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(12178,plain, % 186.69/186.41 (~P1(f862(f862(f165(x121781),f106(x121781)),x121782))), % 186.69/186.41 inference(rename_variables,[],[4712])). % 186.69/186.41 cnf(12184,plain, % 186.69/186.41 (~P1(f862(f862(f278(a924),f862(a105,f862(f862(f73(a924),f862(a105,f2(a924))),x121841))),f862(a105,f2(a924))))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3160,3166,3171,3174,3183,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,4720,11863,11894,11929,11936,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,11189,12143,3527,3598,4705,10572,10604,11114,11153,11162,12020,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,3546,10994,11147,11217,12024,3997,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595])). % 186.69/186.41 cnf(12186,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x121861),f862(a105,x121861)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12198,plain, % 186.69/186.41 (P1(f862(f862(f228(a1),f862(f72(a1),f71(a1))),f2(a1)))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,11189,12143,3527,3598,4705,10572,10604,11114,11153,11162,12020,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,3546,10994,11147,11217,12024,3997,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652])). % 186.69/186.41 cnf(12201,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x122011)),x122011))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12204,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x122041)),x122041))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12207,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x122071)),x122071))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12210,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x122101)),x122101))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12213,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x122131),x122131))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12216,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x122161),x122161))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12219,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x122191),x122191))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12222,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x122221),x122221))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12238,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),f862(f862(f3(a924),x122381),f862(a105,x122381))),f2(a924)))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,11189,12143,3527,3598,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,3546,10994,11147,11217,12024,3997,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732])). % 186.69/186.41 cnf(12239,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x122391),x122391))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12242,plain, % 186.69/186.41 (P22(a924,a924,a105,x122421)), % 186.69/186.41 inference(rename_variables,[],[3726])). % 186.69/186.41 cnf(12244,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x122441),f862(f69(a1),x122441)))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3975,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4159,4206,3882,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,3525,11049,11096,11099,11130,11150,11186,11224,3526,10687,10743,10979,11070,11189,12143,12154,3527,3598,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,3546,10994,11147,11217,12024,3997,4331,4711,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753])). % 186.69/186.41 cnf(12245,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x122451),x122451))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12256,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x122561),x122561))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12259,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(f931(f925(x122591),f925(x122591)),a921)),f151(x122591,x122592)),f299(f925(x122591),f150(x122591,x122592))))), % 186.69/186.41 inference(rename_variables,[],[4211])). % 186.69/186.41 cnf(12266,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x122661),f862(a105,x122661)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12269,plain, % 186.69/186.41 (P1(f862(f862(f321(f932(x122691,a921)),x122692),f862(f300(x122691),x122692)))), % 186.69/186.41 inference(rename_variables,[],[3882])). % 186.69/186.41 cnf(12270,plain, % 186.69/186.41 (~E(f862(a105,x122701),x122701)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12275,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x122751),x122751))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12280,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x122801),x122801))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12291,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x122911,a921)),x122912),f862(f862(f301(x122911),x122913),x122912)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(12294,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x122941),x122941))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12295,plain, % 186.69/186.41 (~E(f862(a105,x122951),x122951)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12308,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123081),x123081))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12309,plain, % 186.69/186.41 (~E(f862(a105,x123091),x123091)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12312,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x123121),x123121))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12315,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x123151),x123151))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12318,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x123181),x123181))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12321,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x123211),x123211))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12324,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x123241),x123241))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12327,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123271),x123271))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12330,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123301),x123301))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12331,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x123311),f862(a105,x123311)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12338,plain, % 186.69/186.41 (~E(f862(a105,x123381),x123381)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12343,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123431),x123431))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12344,plain, % 186.69/186.41 (~E(f862(a105,x123441),x123441)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12347,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x123471),x123471))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12364,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),x123641),x123641))), % 186.69/186.41 inference(rename_variables,[],[3526])). % 186.69/186.41 cnf(12369,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x123691))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(12385,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123851),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12388,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123881),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12391,plain, % 186.69/186.41 (~P1(f862(f862(f321(x123911),x123912),f181(f932(x123911,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12394,plain, % 186.69/186.41 (~P1(f862(f862(f321(x123941),x123942),f181(f932(x123941,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12397,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123971),x123971))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12399,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x123991),f862(f862(f94(a924),x123991),x123992)))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,3968,11992,3508,3602,11818,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4211,4159,4206,3882,11940,4240,4526,3899,10695,10792,11347,11425,11504,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,3598,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,3546,10994,11147,11217,12024,12171,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,11284,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10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% 186.69/186.41 cnf(12400,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x124001),x124001))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12403,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x124031),x124031))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12406,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x124061),x124061))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12409,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x124091),f862(a105,x124091)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12416,plain, % 186.69/186.41 (P1(f862(f862(f321(f932(x124161,a921)),x124162),f862(f300(x124161),x124162)))), % 186.69/186.41 inference(rename_variables,[],[3882])). % 186.69/186.41 cnf(12421,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x124211,a921)),x124212),f862(f862(f301(x124211),x124213),x124212)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(12428,plain, % 186.69/186.41 (~P1(f862(f862(f321(x124281),x124282),f181(f932(x124281,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12437,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x124371,a921)),x124372),f234(f932(x124371,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(12438,plain, % 186.69/186.41 (~E(f862(a105,x124381),x124381)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12444,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x124441),f862(a105,x124441)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12452,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(x124521,x124521)),x124522),f146(x124521,f106(f932(x124521,a924)))))), % 186.69/186.41 inference(scs_inference,[],[3758,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3128,3129,3132,3133,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4211,4159,4206,3882,11940,12269,4240,4526,3899,10695,10792,11347,11425,11504,11571,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,3598,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,3546,10994,11147,11217,12024,12171,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,11284,12291,3814,11400,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468])). % 186.69/186.41 cnf(12453,plain, % 186.69/186.41 (E(f862(f275(x124531,x124531),f255(x124531,x124532)),x124532)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12464,plain, % 186.69/186.41 (~P1(f862(f862(f227(a924),f862(a105,x124641)),x124641))), % 186.69/186.41 inference(rename_variables,[],[4713])). % 186.69/186.41 cnf(12465,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x124651),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12468,plain, % 186.69/186.41 (P1(f862(f54(x124681),f181(f932(x124681,a921))))), % 186.69/186.41 inference(rename_variables,[],[3598])). % 186.69/186.41 cnf(12469,plain, % 186.69/186.41 (~P1(f862(f862(f321(x124691),x124692),f181(f932(x124691,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12476,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x124761,a921)),f862(f165(x124761),f169(x124761,x124762,x124763))),f862(f165(x124761),x124762)))), % 186.69/186.41 inference(rename_variables,[],[4206])). % 186.69/186.41 cnf(12479,plain, % 186.69/186.41 (P22(x124791,x124791,f7(x124791),x124792)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12484,plain, % 186.69/186.41 (P1(f862(f862(f321(f932(x124841,a921)),x124842),f862(f300(x124841),x124842)))), % 186.69/186.41 inference(rename_variables,[],[3882])). % 186.69/186.41 cnf(12491,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x124911),x124911))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12494,plain, % 186.69/186.41 (~P1(f862(f862(f321(x124941),x124942),f181(f932(x124941,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12497,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x124971,a921)),x124972),f862(f862(f301(x124971),x124973),x124972)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(12498,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x124981,a921)),x124982),f234(f932(x124981,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(12505,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x125051),x125051))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12508,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x125081),x125081))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12511,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x125111),x125111))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12514,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x125141),x125141))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12517,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x125171),f862(a105,x125171)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12520,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x125201),f862(a105,x125201)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12523,plain, % 186.69/186.41 (P1(f862(f862(f278(a924),x125231),x125231))), % 186.69/186.41 inference(rename_variables,[],[3527])). % 186.69/186.41 cnf(12526,plain, % 186.69/186.41 (P1(f862(f862(f278(a924),x125261),x125261))), % 186.69/186.41 inference(rename_variables,[],[3527])). % 186.69/186.41 cnf(12529,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x125291,a921)),x125292),x125292))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12531,plain, % 186.69/186.41 (~P1(f862(f862(f227(a1),f862(f862(f3(a1),a76),a90)),f2(a1)))), % 186.69/186.41 inference(scs_inference,[],[3758,11415,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,12112,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4211,4159,4206,11344,3882,11940,12269,12416,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,3546,10994,11147,11217,12024,12171,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,11284,12291,12421,3814,11400,11522,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852])). % 186.69/186.41 cnf(12536,plain, % 186.69/186.41 (P1(f862(f862(f321(f932(x125361,a921)),x125362),f862(f300(x125361),x125362)))), % 186.69/186.41 inference(rename_variables,[],[3882])). % 186.69/186.41 cnf(12542,plain, % 186.69/186.41 (~P1(f862(f862(f228(a1),f862(f862(f73(a1),a76),a76)),f2(a1)))), % 186.69/186.41 inference(scs_inference,[],[3758,11415,4689,4690,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3579,11142,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,12112,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4211,4159,4206,11344,3882,11940,12269,12416,12484,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,3546,10994,11147,11217,12024,12171,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,11284,12291,12421,3814,11400,11522,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9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% 186.69/186.41 cnf(12545,plain, % 186.69/186.41 (~E(f862(a105,x125451),x125451)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12546,plain, % 186.69/186.41 (E(f862(f302(x125461,x125461,f7(x125461)),x125462),x125462)), % 186.69/186.41 inference(rename_variables,[],[3579])). % 186.69/186.41 cnf(12549,plain, % 186.69/186.41 (P30(x125491,x125492,f106(x125491),f106(x125491))), % 186.69/186.41 inference(rename_variables,[],[3767])). % 186.69/186.41 cnf(12552,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x125521,a921)),f862(f165(x125521),f169(x125521,x125522,x125523))),f862(f165(x125521),x125522)))), % 186.69/186.41 inference(rename_variables,[],[4206])). % 186.69/186.41 cnf(12553,plain, % 186.69/186.41 (P1(f862(f54(x125531),f862(f165(x125531),x125532)))), % 186.69/186.41 inference(rename_variables,[],[3564])). % 186.69/186.41 cnf(12564,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x125641),x125641))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12567,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x125671),x125671))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12572,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x125721))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(12579,plain, % 186.69/186.41 (P11(a924,f862(f161(a924),f862(f862(f147(f925(x125791),a924),f182(f925(x125791))),f172(x125791,x125792))))), % 186.69/186.41 inference(rename_variables,[],[4076])). % 186.69/186.41 cnf(12582,plain, % 186.69/186.41 (P22(x125821,x125821,f7(x125821),x125822)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12585,plain, % 186.69/186.41 (P22(x125851,x125851,f7(x125851),x125852)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12588,plain, % 186.69/186.41 (P1(f862(f862(f321(f925(x125881)),f106(x125881)),f154(x125881,x125882)))), % 186.69/186.41 inference(rename_variables,[],[3717])). % 186.69/186.41 cnf(12591,plain, % 186.69/186.41 (~P1(f862(f862(f181(f932(x125911,f932(x125912,a921))),x125913),x125914))), % 186.69/186.41 inference(rename_variables,[],[4732])). % 186.69/186.41 cnf(12596,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x125961),x125961))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12597,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),f2(a924)),x125971))), % 186.69/186.41 inference(rename_variables,[],[3546])). % 186.69/186.41 cnf(12599,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),f2(a1)),f417(x125991,f181(f932(x125992,f932(x125993,a921))),f71(a1))))), % 186.69/186.41 inference(scs_inference,[],[3758,11415,12479,12582,3767,4689,4690,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3400,3579,11142,11269,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,3881,4564,4565,4681,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,12112,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4211,4159,4206,11344,12476,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,11284,12291,12421,3814,11400,11522,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,4386,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170])). % 186.69/186.41 cnf(12600,plain, % 186.69/186.41 (~P1(f862(f862(f181(f932(x126001,f932(x126002,a921))),x126003),x126004))), % 186.69/186.41 inference(rename_variables,[],[4732])). % 186.69/186.41 cnf(12603,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(f931(f925(x126031),f925(x126031)),a921)),f151(x126031,x126032)),f299(f925(x126031),f150(x126031,x126032))))), % 186.69/186.41 inference(rename_variables,[],[4211])). % 186.69/186.41 cnf(12609,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126091,a921)),f862(f302(x126092,x126091,x126093),f862(f303(x126092,x126091,x126093),x126094))),x126094))), % 186.69/186.41 inference(rename_variables,[],[4386])). % 186.69/186.41 cnf(12612,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126121,a921)),f862(f165(x126121),f169(x126121,x126122,x126123))),f862(f165(x126121),x126122)))), % 186.69/186.41 inference(rename_variables,[],[4206])). % 186.69/186.41 cnf(12613,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126131,a921)),f862(f165(x126131),f862(f129(x126131,x126132),x126133))),f862(f165(x126131),x126133)))), % 186.69/186.41 inference(rename_variables,[],[4159])). % 186.69/186.41 cnf(12616,plain, % 186.69/186.41 (~P1(f862(f862(f228(f932(x126161,a921)),x126162),f181(f932(x126161,a921))))), % 186.69/186.41 inference(rename_variables,[],[4725])). % 186.69/186.41 cnf(12624,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126241,a921)),f862(f302(x126242,x126241,x126243),f862(f303(x126242,x126241,x126243),x126244))),x126244))), % 186.69/186.41 inference(rename_variables,[],[4386])). % 186.69/186.41 cnf(12629,plain, % 186.69/186.41 (P1(f862(f862(f321(f925(x126291)),f106(x126291)),f154(x126291,x126292)))), % 186.69/186.41 inference(rename_variables,[],[3717])). % 186.69/186.41 cnf(12632,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x126321),f925(x126321))),f862(f862(f244(f925(x126321),f925(x126321)),x126322),f106(x126321))),f138(x126321,x126323)))), % 186.69/186.41 inference(rename_variables,[],[4736])). % 186.69/186.41 cnf(12635,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x126351),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12637,plain, % 186.69/186.41 (~P1(f862(f54(x126371),f234(f932(x126371,a921))))), % 186.69/186.41 inference(scs_inference,[],[3758,11415,12479,12582,3767,3774,3493,4689,4690,3390,3393,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,3726,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3376,3360,3361,3987,3400,3579,11142,11269,3453,4148,4683,10555,10729,4686,3515,12088,4714,11321,11420,11666,11669,3626,3416,3417,10630,10964,3678,3332,3438,11747,4290,4150,11341,11472,11531,4736,11244,11485,11597,11626,11674,11680,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,3881,4564,4565,4681,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3710,4721,4283,11620,3840,3564,12109,12112,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,4252,4211,12259,12603,4159,4206,11344,12476,12552,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,4116,11700,12044,3963,11260,11266,11284,12291,12421,3814,11400,11522,12529,3965,10997,11363,11528,11565,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,4386,11133,12609,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,92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% 186.69/186.41 cnf(12638,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126381,a921)),x126382),x126382))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12641,plain, % 186.69/186.41 (~P1(f862(f862(f321(x126411),x126412),f181(f932(x126411,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12644,plain, % 186.69/186.41 (~P1(f862(f862(f181(f932(x126441,f932(x126442,a921))),x126443),x126444))), % 186.69/186.41 inference(rename_variables,[],[4732])). % 186.69/186.41 cnf(12647,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126471,a921)),f862(f302(x126472,x126471,x126473),f862(f303(x126472,x126471,x126473),x126474))),x126474))), % 186.69/186.41 inference(rename_variables,[],[4386])). % 186.69/186.41 cnf(12648,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126481,a921)),x126482),x126482))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12653,plain, % 186.69/186.41 (E(f862(f275(x126531,x126531),f255(x126531,x126532)),x126532)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12656,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x126561,a921)),f862(f165(x126561),f169(x126561,x126562,x126563))),f862(f165(x126561),x126562)))), % 186.69/186.41 inference(rename_variables,[],[4206])). % 186.69/186.41 cnf(12657,plain, % 186.69/186.41 (P1(f862(f54(x126571),f862(f165(x126571),x126572)))), % 186.69/186.41 inference(rename_variables,[],[3564])). % 186.69/186.41 cnf(12660,plain, % 186.69/186.41 (P1(f862(f862(f84(a1),x126601),x126601))), % 186.69/186.41 inference(rename_variables,[],[3524])). % 186.69/186.41 cnf(12663,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x126631),x126631))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12666,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x126661),x126661))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12677,plain, % 186.69/186.41 (P22(x126771,x126771,f7(x126771),x126772)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12685,plain, % 186.69/186.41 (~P1(f862(f862(f321(x126851),x126852),f181(f932(x126851,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12688,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x126881,x126881)),f862(f862(f244(x126881,x126881),x126882),x126882)),f299(x126881,x126883)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(12691,plain, % 186.69/186.41 (~P1(f862(f862(f321(x126911),x126912),f181(f932(x126911,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12694,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x126941,x126941)),f862(f862(f244(x126941,x126941),x126942),x126942)),f299(x126941,x126943)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(12704,plain, % 186.69/186.41 (~E(f862(f862(f144(x127041),x127042),x127043),x127043)), % 186.69/186.41 inference(rename_variables,[],[4683])). % 186.69/186.41 cnf(12711,plain, % 186.69/186.41 (P1(f862(f862(f321(x127111),x127112),f234(f932(x127111,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(12712,plain, % 186.69/186.41 (~E(f862(a105,x127121),x127121)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12715,plain, % 186.69/186.41 (P1(f862(f862(f321(f925(x127151)),f106(x127151)),f154(x127151,x127152)))), % 186.69/186.41 inference(rename_variables,[],[3717])). % 186.69/186.41 cnf(12716,plain, % 186.69/186.41 (~E(f862(f862(f144(x127161),x127162),x127163),f106(x127161))), % 186.69/186.41 inference(rename_variables,[],[4686])). % 186.69/186.41 cnf(12719,plain, % 186.69/186.41 (P22(x127191,x127191,f7(x127191),x127192)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12722,plain, % 186.69/186.41 (P1(f862(f862(f321(x127221),f862(x127222,x127223)),f862(f302(x127224,x127221,x127222),f234(f932(x127224,a921)))))), % 186.69/186.41 inference(rename_variables,[],[4116])). % 186.69/186.41 cnf(12723,plain, % 186.69/186.41 (P22(x127231,x127231,f7(x127231),x127232)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12726,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127261,a921)),f181(f932(x127261,a921))),x127262))), % 186.69/186.41 inference(rename_variables,[],[3965])). % 186.69/186.41 cnf(12727,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127271,a921)),x127272),x127272))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12730,plain, % 186.69/186.41 (P1(f862(f862(f321(x127301),f862(x127302,x127303)),f862(f302(x127304,x127301,x127302),f234(f932(x127304,a921)))))), % 186.69/186.41 inference(rename_variables,[],[4116])). % 186.69/186.41 cnf(12731,plain, % 186.69/186.41 (P22(x127311,x127311,f7(x127311),x127312)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12734,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f925(x127341),f925(x127341))),f862(f862(f244(f925(x127341),f925(x127341)),f106(x127341)),f106(x127341))),f151(x127341,x127342)))), % 186.69/186.41 inference(rename_variables,[],[4290])). % 186.69/186.41 cnf(12738,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x127381),f2(a924)))), % 186.69/186.41 inference(rename_variables,[],[4709])). % 186.69/186.41 cnf(12744,plain, % 186.69/186.41 (E(f862(f862(f127(x127441),x127442),f106(x127441)),x127442)), % 186.69/186.41 inference(rename_variables,[],[3454])). % 186.69/186.41 cnf(12745,plain, % 186.69/186.41 (~E(f862(f862(f144(x127451),x127452),x127453),x127453)), % 186.69/186.41 inference(rename_variables,[],[4683])). % 186.69/186.41 cnf(12748,plain, % 186.69/186.41 (E(f862(f862(f127(x127481),x127482),f106(x127481)),x127482)), % 186.69/186.41 inference(rename_variables,[],[3454])). % 186.69/186.41 cnf(12749,plain, % 186.69/186.41 (~E(f862(f862(f144(x127491),x127492),x127493),x127493)), % 186.69/186.41 inference(rename_variables,[],[4683])). % 186.69/186.41 cnf(12752,plain, % 186.69/186.41 (E(f862(f862(f127(x127521),x127522),f106(x127521)),x127522)), % 186.69/186.41 inference(rename_variables,[],[3454])). % 186.69/186.41 cnf(12759,plain, % 186.69/186.41 (P49(x127591,f255(x127591,x127592))), % 186.69/186.41 inference(rename_variables,[],[3394])). % 186.69/186.41 cnf(12762,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127621,a921)),f862(f165(x127621),f862(f129(x127621,x127622),x127623))),f862(f165(x127621),x127623)))), % 186.69/186.41 inference(rename_variables,[],[4159])). % 186.69/186.41 cnf(12763,plain, % 186.69/186.41 (E(f862(f302(x127631,x127631,f7(x127631)),x127632),x127632)), % 186.69/186.41 inference(rename_variables,[],[3579])). % 186.69/186.41 cnf(12768,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127681,a921)),x127682),f234(f932(x127681,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(12772,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x127721),x127721))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12773,plain, % 186.69/186.41 (~E(f862(a105,x127731),x127731)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12776,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127761,a921)),f181(f932(x127761,a921))),x127762))), % 186.69/186.41 inference(rename_variables,[],[3965])). % 186.69/186.41 cnf(12779,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x127791),x127791))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12782,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127821,a921)),x127822),x127822))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12787,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127871,a921)),x127872),f862(f862(f301(x127871),x127873),x127872)))), % 186.69/186.41 inference(rename_variables,[],[3963])). % 186.69/186.41 cnf(12790,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x127901,a921)),x127902),x127902))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12791,plain, % 186.69/186.41 (~P1(f862(f862(f321(x127911),x127912),f181(f932(x127911,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12794,plain, % 186.69/186.41 (~P1(f862(f862(f321(x127941),x127942),f181(f932(x127941,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12802,plain, % 186.69/186.41 (~P1(f862(f862(f227(f932(f931(x128021,x128021),a921)),f862(f302(f931(x128021,x128021),f931(x128021,x128021),f7(f931(x128021,x128021))),f234(f932(f931(x128021,x128021),a921)))),f862(f302(f931(x128021,x128021),f931(x128021,x128021),f7(f931(x128021,x128021))),f181(f932(f931(x128021,x128021),a921)))))), % 186.69/186.41 inference(scs_inference,[],[3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,3454,12744,12748,3460,3469,3975,4276,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,4150,11341,11472,11531,12688,12694,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,3583,10961,10991,11000,11003,11006,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,863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% 186.69/186.41 cnf(12803,plain, % 186.69/186.41 (P22(x128031,x128031,f7(x128031),x128032)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12806,plain, % 186.69/186.41 (E(f862(f182(f925(x128061)),f162(x128061,x128062,x128063)),x128062)), % 186.69/186.41 inference(rename_variables,[],[3589])). % 186.69/186.41 cnf(12809,plain, % 186.69/186.41 (P23(x128091,x128091,f25(x128091),x128092,x128092)), % 186.69/186.41 inference(rename_variables,[],[4174])). % 186.69/186.41 cnf(12812,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x128121),x128121))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12813,plain, % 186.69/186.41 (P1(f862(f234(f932(x128131,a921)),x128132))), % 186.69/186.41 inference(rename_variables,[],[3583])). % 186.69/186.41 cnf(12816,plain, % 186.69/186.41 (~P1(f862(f862(f321(x128161),x128162),f181(f932(x128161,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12819,plain, % 186.69/186.41 (P1(f862(f862(f321(x128191),f862(x128192,x128193)),f862(f302(x128194,x128191,x128192),f234(f932(x128194,a921)))))), % 186.69/186.41 inference(rename_variables,[],[4116])). % 186.69/186.41 cnf(12820,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x128201,x128201)),f862(f862(f244(x128201,x128201),x128202),x128202)),f299(x128201,x128203)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(12823,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x128231,x128231)),f862(f862(f244(x128231,x128231),x128232),x128232)),f299(x128231,x128233)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(12826,plain, % 186.69/186.41 (P1(f862(f862(f227(a924),x128261),x128261))), % 186.69/186.41 inference(rename_variables,[],[3525])). % 186.69/186.41 cnf(12827,plain, % 186.69/186.41 (P1(f862(f234(f932(x128271,a921)),x128272))), % 186.69/186.41 inference(rename_variables,[],[3583])). % 186.69/186.41 cnf(12830,plain, % 186.69/186.41 (P1(f862(f862(f321(f932(x128301,a921)),x128302),f862(f300(x128301),x128302)))), % 186.69/186.41 inference(rename_variables,[],[3882])). % 186.69/186.41 cnf(12831,plain, % 186.69/186.41 (~E(f862(a105,x128311),f2(a924))), % 186.69/186.41 inference(rename_variables,[],[4676])). % 186.69/186.41 cnf(12834,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x128341,a921)),x128342),f234(f932(x128341,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(12835,plain, % 186.69/186.41 (P23(x128351,x128351,f25(x128351),x128352,x128352)), % 186.69/186.41 inference(rename_variables,[],[4174])). % 186.69/186.41 cnf(12838,plain, % 186.69/186.41 (P1(f862(f54(x128381),f862(f165(x128381),x128382)))), % 186.69/186.41 inference(rename_variables,[],[3564])). % 186.69/186.41 cnf(12843,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f925(x128431),f925(x128431))),f862(f862(f244(f925(x128431),f925(x128431)),f106(x128431)),f106(x128431))),f862(f862(f280(f925(x128431),f925(x128431),f925(x128431)),f151(x128431,x128432)),f151(x128431,x128432))))), % 186.69/186.41 inference(scs_inference,[],[4174,12809,3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,3454,12744,12748,12752,3460,3469,3975,4276,3589,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,4150,11341,11472,11531,12688,12694,12820,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674])). % 186.69/186.41 cnf(12845,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x128451,x128451)),f862(f862(f244(x128451,x128451),x128452),x128452)),f862(f862(f280(x128451,x128451,x128451),f299(x128451,x128453)),f299(x128451,f299(x128451,x128453)))))), % 186.69/186.41 inference(scs_inference,[],[4174,12809,3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,3454,12744,12748,12752,3460,3469,3975,4276,3589,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,4150,11341,11472,11531,12688,12694,12820,12823,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686])). % 186.69/186.41 cnf(12848,plain, % 186.69/186.41 (~P1(f862(f862(f181(f932(x128481,f932(x128482,a921))),x128483),x128484))), % 186.69/186.41 inference(rename_variables,[],[4732])). % 186.69/186.41 cnf(12854,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x128541,a921)),x128542),f234(f932(x128541,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(12857,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(x128571,x128571)),f862(f862(f244(x128571,x128571),x128572),x128572)),f299(x128571,x128573)))), % 186.69/186.41 inference(rename_variables,[],[4150])). % 186.69/186.41 cnf(12860,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x128601),x128602)),x128602))), % 186.69/186.41 inference(rename_variables,[],[4729])). % 186.69/186.41 cnf(12861,plain, % 186.69/186.41 (P1(f862(f862(f228(a924),x128611),f862(a105,x128611)))), % 186.69/186.41 inference(rename_variables,[],[3590])). % 186.69/186.41 cnf(12864,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x128641,a921)),x128642),f234(f932(x128641,a921))))), % 186.69/186.41 inference(rename_variables,[],[3899])). % 186.69/186.41 cnf(12867,plain, % 186.69/186.41 (E(f862(f275(x128671,x128671),f255(x128671,x128672)),x128672)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12874,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f931(f925(x128741),f925(x128741)),f931(f925(x128741),f925(x128741)))),f580(f299(f931(f925(x128741),f925(x128741)),x128742),f138(x128741,x128743),f931(f925(x128741),f925(x128741)))),f299(f931(f925(x128741),f925(x128741)),x128742)))), % 186.69/186.41 inference(scs_inference,[],[4174,12809,3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,3855,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,3454,12744,12748,12752,3460,3469,3975,4276,3589,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,799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% 186.69/186.41 cnf(12878,plain, % 186.69/186.41 (~P1(f862(f862(f321(x128781),x128782),f181(f932(x128781,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12879,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f925(x128791),f925(x128791))),f862(f862(f244(f925(x128791),f925(x128791)),f106(x128791)),f106(x128791))),f151(x128791,x128792)))), % 186.69/186.41 inference(rename_variables,[],[4290])). % 186.69/186.41 cnf(12881,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(a924,a924)),f862(f862(f244(a924,a924),f2(a924)),f862(a105,f2(a924)))),f862(f862(f280(a924,a924,a924),f299(a924,a309)),f299(a924,f299(a924,a309)))))), % 186.69/186.41 inference(scs_inference,[],[4174,12809,3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,3855,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,3454,12744,12748,12752,3460,3469,3975,4276,3589,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,79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% 186.69/186.41 cnf(12884,plain, % 186.69/186.41 (~P1(f862(f862(f321(x128841),x128842),f181(f932(x128841,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12889,plain, % 186.69/186.41 (P29(x128891,x128892,f106(x128891))), % 186.69/186.41 inference(rename_variables,[],[3459])). % 186.69/186.41 cnf(12892,plain, % 186.69/186.41 (E(f862(f182(f925(x128921)),f162(x128921,x128922,x128923)),x128922)), % 186.69/186.41 inference(rename_variables,[],[3589])). % 186.69/186.41 cnf(12895,plain, % 186.69/186.41 (~P1(f862(f862(f321(x128951),x128952),f181(f932(x128951,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12899,plain, % 186.69/186.41 (~P1(f862(f862(f321(f931(f925(x128991),f925(x128991))),f862(f862(f244(f925(x128991),f925(x128991)),x128992),x128992)),f140(x128991,f146(x128991,f106(f932(x128991,a924))))))), % 186.69/186.41 inference(scs_inference,[],[4174,12809,3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,3459,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,3855,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,3454,12744,12748,12752,3460,3469,3975,4276,3589,12806,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151])). % 186.69/186.41 cnf(12901,plain, % 186.69/186.41 (~P1(f862(f862(f228(a924),x129011),x129011))), % 186.69/186.41 inference(rename_variables,[],[4705])). % 186.69/186.41 cnf(12903,plain, % 186.69/186.41 (P1(f862(f862(f321(f931(f925(x129031),f925(x129031))),f862(f862(f244(f925(x129031),f925(x129031)),f162(x129031,f862(f182(f925(x129031)),x129032),x129033)),x129032)),f151(x129031,f234(f932(f931(x129031,x129031),a921)))))), % 186.69/186.41 inference(scs_inference,[],[4174,12809,3758,11415,12479,12582,12585,12677,12719,12723,12731,3767,3774,3493,3459,4689,4690,3390,3393,3394,4688,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,3578,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,3309,4667,3855,4080,12006,3364,11711,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,3454,12744,12748,12752,3460,3469,3975,4276,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,4686,11536,12716,3515,12088,4714,11321,11420,11666,11669,3626,4692,3416,3417,10630,10964,3678,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,4681,11740,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219])). % 186.69/186.41 cnf(12904,plain, % 186.69/186.41 (P1(f862(f862(f321(x129041),x129042),f234(f932(x129041,a921))))), % 186.69/186.41 inference(rename_variables,[],[3673])). % 186.69/186.41 cnf(12910,plain, % 186.69/186.41 (P1(f862(f54(x129101),f862(f165(x129101),x129102)))), % 186.69/186.41 inference(rename_variables,[],[3564])). % 186.69/186.41 cnf(12913,plain, % 186.69/186.41 (P1(f862(f862(f227(f932(x129131,a921)),x129132),x129132))), % 186.69/186.41 inference(rename_variables,[],[3814])). % 186.69/186.41 cnf(12916,plain, % 186.69/186.41 (~P1(f862(f862(f321(x129161),x129162),f181(f932(x129161,a921))))), % 186.69/186.41 inference(rename_variables,[],[4716])). % 186.69/186.41 cnf(12919,plain, % 186.69/186.41 (P1(f862(f862(f227(a1),f2(a1)),f862(f862(f236(a1),f862(f69(a1),x129191)),x129192)))), % 186.69/186.41 inference(rename_variables,[],[3996])). % 186.69/186.41 cnf(12922,plain, % 186.69/186.41 (~E(f862(a105,x129221),x129221)), % 186.69/186.41 inference(rename_variables,[],[4670])). % 186.69/186.41 cnf(12924,plain, % 186.69/186.41 (E(f862(f275(x129241,x129241),f255(x129241,x129242)),x129242)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12931,plain, % 186.69/186.41 (E(f862(f275(x129311,x129311),f255(x129311,x129312)),x129312)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12933,plain, % 186.69/186.41 (E(f862(f275(x129331,x129331),f255(x129331,x129332)),x129332)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12935,plain, % 186.69/186.41 (E(f862(f275(x129351,x129351),f255(x129351,x129352)),x129352)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12937,plain, % 186.69/186.41 (E(f862(f275(x129371,x129371),f255(x129371,x129372)),x129372)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12950,plain, % 186.69/186.41 (P35(x129501,f146(x129501,x129502))), % 186.69/186.41 inference(rename_variables,[],[3390])). % 186.69/186.41 cnf(12957,plain, % 186.69/186.41 (P22(x129571,x129571,f7(x129571),x129572)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12959,plain, % 186.69/186.41 (P22(x129591,x129591,f7(x129591),x129592)), % 186.69/186.41 inference(rename_variables,[],[3758])). % 186.69/186.41 cnf(12966,plain, % 186.69/186.41 (E(f862(f275(x129661,x129661),f255(x129661,x129662)),x129662)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12968,plain, % 186.69/186.41 (E(f862(f275(x129681,x129681),f255(x129681,x129682)),x129682)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12970,plain, % 186.69/186.41 (E(f862(f275(x129701,x129701),f255(x129701,x129702)),x129702)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12972,plain, % 186.69/186.41 (E(f862(f275(x129721,x129721),f255(x129721,x129722)),x129722)), % 186.69/186.41 inference(rename_variables,[],[3483])). % 186.69/186.41 cnf(12977,plain, % 186.69/186.41 (P12(x129771,f932(x129771,a921),f301(x129771))), % 186.69/186.41 inference(rename_variables,[],[3496])). % 186.69/186.41 cnf(12983,plain, % 186.69/186.41 (E(f181(f932(f931(x129831,x129831),a921)),f255(x129831,f181(f932(x129831,a921))))), % 186.69/186.41 inference(rename_variables,[],[3593])). % 186.69/186.41 cnf(12985,plain, % 186.69/186.41 (E(f181(f932(f931(x129851,x129851),a921)),f255(x129851,f181(f932(x129851,a921))))), % 186.69/186.41 inference(rename_variables,[],[3593])). % 186.69/186.41 cnf(12990,plain, % 186.69/186.41 (P53(x129901,f181(f932(x129901,a921)),x129902)), % 186.69/186.41 inference(rename_variables,[],[3544])). % 186.69/186.41 cnf(12998,plain, % 186.69/186.41 (P23(x129981,x129981,f25(x129981),x129982,x129982)), % 186.69/186.41 inference(rename_variables,[],[4174])). % 186.69/186.41 cnf(13000,plain, % 186.69/186.41 (P23(x130001,x130001,f25(x130001),x130002,x130002)), % 186.69/186.41 inference(rename_variables,[],[4174])). % 186.69/186.41 cnf(13002,plain, % 186.69/186.41 (P23(x130021,x130021,f25(x130021),x130022,x130022)), % 186.69/186.41 inference(rename_variables,[],[4174])). % 186.69/186.41 cnf(13004,plain, % 186.69/186.41 (E(f862(f295(a924,f2(a924)),x130041),f862(f292(a924),x130041))), % 186.69/186.42 inference(rename_variables,[],[3457])). % 186.69/186.42 cnf(13008,plain, % 186.69/186.42 (P52(x130081,x130081,f255(x130081,x130082))), % 186.69/186.42 inference(rename_variables,[],[3493])). % 186.69/186.42 cnf(13018,plain, % 186.69/186.42 (P36(x130181,f255(x130181,x130182))), % 186.69/186.42 inference(rename_variables,[],[3391])). % 186.69/186.42 cnf(13022,plain, % 186.69/186.42 (E(f862(f275(x130221,x130221),f255(x130221,x130222)),x130222)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13026,plain, % 186.69/186.42 (E(f181(f932(f931(x130261,x130261),a921)),f255(x130261,f181(f932(x130261,a921))))), % 186.69/186.42 inference(rename_variables,[],[3593])). % 186.69/186.42 cnf(13028,plain, % 186.69/186.42 (P30(x130281,x130282,f106(x130281),f106(x130281))), % 186.69/186.42 inference(rename_variables,[],[3767])). % 186.69/186.42 cnf(13030,plain, % 186.69/186.42 (P30(x130301,x130302,f106(x130301),f106(x130301))), % 186.69/186.42 inference(rename_variables,[],[3767])). % 186.69/186.42 cnf(13034,plain, % 186.69/186.42 (P50(x130341,x130342,f255(x130341,x130342))), % 186.69/186.42 inference(rename_variables,[],[3492])). % 186.69/186.42 cnf(13036,plain, % 186.69/186.42 (P50(x130361,x130362,f255(x130361,x130362))), % 186.69/186.42 inference(rename_variables,[],[3492])). % 186.69/186.42 cnf(13038,plain, % 186.69/186.42 (P50(x130381,x130382,f255(x130381,x130382))), % 186.69/186.42 inference(rename_variables,[],[3492])). % 186.69/186.42 cnf(13040,plain, % 186.69/186.42 (P49(x130401,f255(x130401,x130402))), % 186.69/186.42 inference(rename_variables,[],[3394])). % 186.69/186.42 cnf(13045,plain, % 186.69/186.42 (E(f862(f275(x130451,x130451),f255(x130451,x130452)),x130452)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13049,plain, % 186.69/186.42 (P40(x130491,x130492,x130493,x130494,f181(f932(x130491,a921)),x130494)), % 186.69/186.42 inference(rename_variables,[],[4448])). % 186.69/186.42 cnf(13069,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x130691),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13071,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),a76),f2(a1)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3158,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3263,3276,3279,3280,3283,3285,3293,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,3454,12744,12748,12752,3460,3469,3975,4276,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,4720,11863,11894,11929,11936,11972,3955,3727,4098,3552,3554,3528,4706,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,4331,4711,4008,4042,4695,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,4731,11989,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6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% 186.69/186.42 cnf(13078,plain, % 186.69/186.42 (~P1(f862(f862(f228(a1),f862(f93(a1),x130781)),f862(f72(a1),f862(f93(a1),x130782))))), % 186.69/186.42 inference(rename_variables,[],[4726])). % 186.69/186.42 cnf(13088,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x130881),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13091,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x130911),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13094,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x130941,x130942)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13097,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x130971,x130972)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13100,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x131001,x131002)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13103,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x131031,x131032)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13110,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),f862(f72(a1),f862(f93(a1),x131101))),f862(f93(a1),x131102)))), % 186.69/186.42 inference(rename_variables,[],[3997])). % 186.69/186.42 cnf(13112,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),f2(a1)),f862(f96(a1),f2(a1))))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3158,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3262,3263,3276,3279,3280,3283,3285,3293,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,3454,12744,12748,12752,3460,3469,3975,4276,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,4720,11863,11894,11929,11936,11972,3955,3727,3728,13094,13097,13100,4098,3552,3554,3528,4706,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,12115,4331,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,3942,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513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% 186.69/186.42 cnf(13115,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x131151),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13116,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x131161),x131161))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13123,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x131231),f862(a105,x131231)))), % 186.69/186.42 inference(rename_variables,[],[3590])). % 186.69/186.42 cnf(13125,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),f2(a1)),a76))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3158,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3262,3263,3276,3279,3280,3283,3285,3293,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,3454,12744,12748,12752,3460,3469,3975,4276,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,4720,11863,11894,11929,11936,11972,3955,3727,3728,13094,13097,13100,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,12115,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,3942,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309])). % 186.69/186.42 cnf(13127,plain, % 186.69/186.42 (~P1(f862(f862(f228(a1),f2(a1)),f862(f96(a1),f2(a1))))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3140,3148,3149,3151,3152,3157,3158,3160,3166,3167,3171,3174,3183,3189,3203,3206,3207,3214,3225,3260,3262,3263,3276,3279,3280,3283,3285,3293,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,3454,12744,12748,12752,3460,3469,3975,4276,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,4076,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,4720,11863,11894,11929,11936,11972,3955,3727,3728,13094,13097,13100,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,3527,12523,3598,12468,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,3583,10961,10991,11000,11003,11006,11589,12813,3622,3615,4034,3973,10607,11995,12023,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,3997,12115,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,3941,3942,4729,10577,10580,10955,10958,11860,12049,4730,11969,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6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% 186.69/186.42 cnf(13130,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x131301),x131301))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13133,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x131331,x131332)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13136,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x131361,x131362)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13139,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x131391),x131391))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13156,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),f38(a924,x131561,x131562)),x131561))), % 186.69/186.42 inference(rename_variables,[],[3973])). % 186.69/186.42 cnf(13161,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x131611),f862(a105,x131611)))), % 186.69/186.42 inference(rename_variables,[],[3590])). % 186.69/186.42 cnf(13164,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x131641),f862(a105,x131641)))), % 186.69/186.42 inference(rename_variables,[],[3590])). % 186.69/186.42 cnf(13165,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x131651),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13174,plain, % 186.69/186.42 (~P1(f862(f862(f228(a1),f862(f93(a1),x131741)),f2(a1)))), % 186.69/186.42 inference(rename_variables,[],[4720])). % 186.69/186.42 cnf(13175,plain, % 186.69/186.42 (P1(f862(f234(f932(x131751,a921)),x131752))), % 186.69/186.42 inference(rename_variables,[],[3583])). % 186.69/186.42 cnf(13178,plain, % 186.69/186.42 (~P1(f862(f862(f228(a1),f862(f93(a1),x131781)),f2(a1)))), % 186.69/186.42 inference(rename_variables,[],[4720])). % 186.69/186.42 cnf(13179,plain, % 186.69/186.42 (P1(f862(f234(f932(x131791,a921)),x131792))), % 186.69/186.42 inference(rename_variables,[],[3583])). % 186.69/186.42 cnf(13182,plain, % 186.69/186.42 (P1(f862(f234(f932(x131821,a921)),x131822))), % 186.69/186.42 inference(rename_variables,[],[3583])). % 186.69/186.42 cnf(13185,plain, % 186.69/186.42 (P1(f862(f234(f932(x131851,a921)),x131852))), % 186.69/186.42 inference(rename_variables,[],[3583])). % 186.69/186.42 cnf(13193,plain, % 186.69/186.42 (~P1(f862(f862(f321(x131931),x131932),f181(f932(x131931,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13194,plain, % 186.69/186.42 (P1(f862(f54(x131941),f181(f932(x131941,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13206,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),f2(a924)),x132061))), % 186.69/186.42 inference(rename_variables,[],[3546])). % 186.69/186.42 cnf(13209,plain, % 186.69/186.42 (~P1(f862(f862(f321(x132091),x132092),f181(f932(x132091,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13212,plain, % 186.69/186.42 (~P1(f862(f862(f321(x132121),x132122),f181(f932(x132121,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13215,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132151),x132151))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13223,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x132231),f862(a105,x132231)))), % 186.69/186.42 inference(rename_variables,[],[3590])). % 186.69/186.42 cnf(13226,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132261),x132261))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13231,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132311),x132311))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13234,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132341),x132341))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13237,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132371),x132371))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13240,plain, % 186.69/186.42 (E(f862(f862(f3(f932(x132401,a921)),f181(f932(x132401,a921))),x132402),f181(f932(x132401,a921)))), % 186.69/186.42 inference(rename_variables,[],[3787])). % 186.69/186.42 cnf(13241,plain, % 186.69/186.42 (P1(f862(f54(x132411),f181(f932(x132411,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13244,plain, % 186.69/186.42 (E(f862(f862(f3(f932(x132441,a921)),f181(f932(x132441,a921))),x132442),f181(f932(x132441,a921)))), % 186.69/186.42 inference(rename_variables,[],[3787])). % 186.69/186.42 cnf(13245,plain, % 186.69/186.42 (P1(f862(f54(x132451),f181(f932(x132451,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13248,plain, % 186.69/186.42 (E(f862(f862(f3(f932(x132481,a921)),f181(f932(x132481,a921))),x132482),f181(f932(x132481,a921)))), % 186.69/186.42 inference(rename_variables,[],[3787])). % 186.69/186.42 cnf(13249,plain, % 186.69/186.42 (P1(f862(f54(x132491),f181(f932(x132491,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13252,plain, % 186.69/186.42 (E(f862(f862(f3(f932(x132521,a921)),f181(f932(x132521,a921))),x132522),f181(f932(x132521,a921)))), % 186.69/186.42 inference(rename_variables,[],[3787])). % 186.69/186.42 cnf(13253,plain, % 186.69/186.42 (P1(f862(f54(x132531),f181(f932(x132531,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13257,plain, % 186.69/186.42 (E(f862(f275(x132571,x132571),f255(x132571,x132572)),x132572)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13262,plain, % 186.69/186.42 (E(f862(f862(f3(f932(x132621,a921)),f181(f932(x132621,a921))),x132622),f181(f932(x132621,a921)))), % 186.69/186.42 inference(rename_variables,[],[3787])). % 186.69/186.42 cnf(13263,plain, % 186.69/186.42 (P1(f862(f54(x132631),f181(f932(x132631,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13267,plain, % 186.69/186.42 (P1(f862(f54(x132671),f181(f932(x132671,a921))))), % 186.69/186.42 inference(rename_variables,[],[3598])). % 186.69/186.42 cnf(13270,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132701),x132701))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13274,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x132741),x132741))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13281,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x132811),x132811))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13294,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x132941),x132941))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13307,plain, % 186.69/186.42 (~P1(f862(f862(f321(x133071),x133072),f181(f932(x133071,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13318,plain, % 186.69/186.42 (P1(f862(f862(f321(x133181),x133182),f234(f932(x133181,a921))))), % 186.69/186.42 inference(rename_variables,[],[3673])). % 186.69/186.42 cnf(13319,plain, % 186.69/186.42 (E(f862(f185(x133191,x133192),x133193),f114(x133191,x133192))), % 186.69/186.42 inference(rename_variables,[],[3436])). % 186.69/186.42 cnf(13322,plain, % 186.69/186.42 (P1(f862(f862(f321(x133221),f862(x133222,x133223)),f862(f302(x133224,x133221,x133222),f234(f932(x133224,a921)))))), % 186.69/186.42 inference(rename_variables,[],[4116])). % 186.69/186.42 cnf(13326,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x133261,a921)),x133262),f234(f932(x133261,a921))))), % 186.69/186.42 inference(rename_variables,[],[3899])). % 186.69/186.42 cnf(13329,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x133291,a921)),x133292),x133292))), % 186.69/186.42 inference(rename_variables,[],[3814])). % 186.69/186.42 cnf(13335,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x133351),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13336,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x133361),x133361))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13340,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x133401),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13341,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x133411),x133411))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13346,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x133461),x133461))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13353,plain, % 186.69/186.42 (E(f862(f862(f18(x133531,x133532),x133533),x133534),x133533)), % 186.69/186.42 inference(rename_variables,[],[3515])). % 186.69/186.42 cnf(13356,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x133561,a921)),f862(f165(x133561),f169(x133561,x133562,x133563))),f862(f165(x133561),x133562)))), % 186.69/186.42 inference(rename_variables,[],[4206])). % 186.69/186.42 cnf(13361,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),f433(f862(x133611,f2(a924)),x133611,f2(a924))),f2(a924)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3236,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,12830,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,12597,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828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503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627])). % 186.69/186.42 cnf(13363,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x133631),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13364,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x133641),x133641))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13368,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x133681),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13369,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),x133691),x133691))), % 186.69/186.42 inference(rename_variables,[],[3526])). % 186.69/186.42 cnf(13373,plain, % 186.69/186.42 (~P1(f862(f862(f227(f932(a924,a921)),f296(a924,f862(a105,x133731),f862(a105,x133731))),f296(a924,x133732,x133731)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3236,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,12830,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,12597,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715])). % 186.69/186.42 cnf(13374,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x133741),x133741))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13376,plain, % 186.69/186.42 (~P1(f862(f862(f228(f932(a924,a921)),f296(a924,f862(a105,x133761),f862(a105,x133761))),f296(a924,x133762,x133761)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3236,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,12830,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,3546,10994,11147,11217,12024,12171,12369,12572,12597,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716])). % 186.69/186.42 cnf(13377,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),x133771),x133771))), % 186.69/186.42 inference(rename_variables,[],[3525])). % 186.69/186.42 cnf(13380,plain, % 186.69/186.42 (~P1(f862(f862(f227(a924),f862(a105,x133801)),x133801))), % 186.69/186.42 inference(rename_variables,[],[4713])). % 186.69/186.42 cnf(13385,plain, % 186.69/186.42 (E(x133851,f539(f862(f7(x133852),f862(f7(x133852),x133851)),f7(x133852),x133852,x133852))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3236,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,4106,4714,11321,11420,11666,11669,3916,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,3968,11992,3508,3602,11818,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,12830,4240,4526,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,4725,11093,11496,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,3963,11260,11266,11284,12291,12421,12497,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,4288,3965,10997,11363,11528,11565,11576,12726,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869])). % 186.69/186.42 cnf(13386,plain, % 186.69/186.42 (P1(f862(f862(f321(x133861),f862(x133862,x133863)),f862(f302(x133864,x133861,x133862),f234(f932(x133864,a921)))))), % 186.69/186.42 inference(rename_variables,[],[4116])). % 186.69/186.42 cnf(13387,plain, % 186.69/186.42 (P22(x133871,x133871,f7(x133871),x133872)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13392,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x133921,a921)),x133922),f234(f932(x133921,a921))))), % 186.69/186.42 inference(rename_variables,[],[3899])). % 186.69/186.42 cnf(13393,plain, % 186.69/186.42 (P22(x133931,x133931,f7(x133931),x133932)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13397,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x133971,a921)),x133972),f234(f932(x133971,a921))))), % 186.69/186.42 inference(rename_variables,[],[3899])). % 186.69/186.42 cnf(13398,plain, % 186.69/186.42 (P22(x133981,x133981,f7(x133981),x133982)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13402,plain, % 186.69/186.42 (P22(x134021,x134021,f7(x134021),x134022)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13405,plain, % 186.69/186.42 (~P1(f862(f862(f228(f932(x134051,a921)),x134052),f181(f932(x134051,a921))))), % 186.69/186.42 inference(rename_variables,[],[4725])). % 186.69/186.42 cnf(13408,plain, % 186.69/186.42 (P22(x134081,x134081,f7(x134081),x134082)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13411,plain, % 186.69/186.42 (P22(x134111,x134111,f7(x134111),x134112)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13417,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x134171,a921)),x134172),f234(f932(x134171,a921))))), % 186.69/186.42 inference(rename_variables,[],[3899])). % 186.69/186.42 cnf(13422,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x134221,a921)),f181(f932(x134221,a921))),x134222))), % 186.69/186.42 inference(rename_variables,[],[3965])). % 186.69/186.42 cnf(13426,plain, % 186.69/186.42 (E(f862(f275(x134261,x134261),f255(x134261,x134262)),x134262)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13430,plain, % 186.69/186.42 (~P1(f862(f862(f321(x134301),x134302),f181(f932(x134301,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13435,plain, % 186.69/186.42 (P22(x134351,x134351,f7(x134351),x134352)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13438,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x134381,a921)),x134382),f234(f932(x134381,a921))))), % 186.69/186.42 inference(rename_variables,[],[3899])). % 186.69/186.42 cnf(13442,plain, % 186.69/186.42 (P1(f862(f862(f321(x134421),x134422),f234(f932(x134421,a921))))), % 186.69/186.42 inference(rename_variables,[],[3673])). % 186.69/186.42 cnf(13451,plain, % 186.69/186.42 (E(f862(f862(f18(x134511,x134512),x134513),x134514),x134513)), % 186.69/186.42 inference(rename_variables,[],[3515])). % 186.69/186.42 cnf(13454,plain, % 186.69/186.42 (~P1(f862(f862(f321(x134541),x134542),f181(f932(x134541,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13457,plain, % 186.69/186.42 (~P1(f862(f862(f321(x134571),x134572),f181(f932(x134571,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13461,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),f2(a924)),f862(a105,x134611)))), % 186.69/186.42 inference(rename_variables,[],[3602])). % 186.69/186.42 cnf(13462,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),x134621),f2(a924)))), % 186.69/186.42 inference(rename_variables,[],[4709])). % 186.69/186.42 cnf(13467,plain, % 186.69/186.42 (~E(f862(a105,x134671),x134671)), % 186.69/186.42 inference(rename_variables,[],[4670])). % 186.69/186.42 cnf(13470,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x134701),f862(a105,x134701)))), % 186.69/186.42 inference(rename_variables,[],[3590])). % 186.69/186.42 cnf(13471,plain, % 186.69/186.42 (~E(f862(a105,x134711),x134711)), % 186.69/186.42 inference(rename_variables,[],[4670])). % 186.69/186.42 cnf(13474,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x134741),f862(a105,f862(f862(f73(a924),x134742),x134741))))), % 186.69/186.42 inference(rename_variables,[],[3966])). % 186.69/186.42 cnf(13475,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),x134751),f862(a105,x134751)))), % 186.69/186.42 inference(rename_variables,[],[3590])). % 186.69/186.42 cnf(13477,plain, % 186.69/186.42 (~E(f862(f862(f74(a924),f862(a105,f2(a924))),f112(x134771)),f862(f862(f74(a924),f862(a105,f2(a924))),f119(x134771,x134772,x134773)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3236,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,3968,11992,3508,3602,11818,12103,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,3730,4098,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,4206,11344,12476,12552,12612,12656,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,4288,3965,10997,11363,11528,11565,11576,12726,12776,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476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912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704])). % 186.69/186.42 cnf(13484,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),f2(a1)),f862(f93(a1),x134841)))), % 186.69/186.42 inference(rename_variables,[],[3622])). % 186.69/186.42 cnf(13487,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),f2(a924)),x134871))), % 186.69/186.42 inference(rename_variables,[],[3546])). % 186.69/186.42 cnf(13491,plain, % 186.69/186.42 (~E(f862(a105,x134911),f2(a924))), % 186.69/186.42 inference(rename_variables,[],[4676])). % 186.69/186.42 cnf(13494,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x134941,a921)),f862(f165(x134941),f169(x134941,x134942,x134943))),f862(f165(x134941),x134942)))), % 186.69/186.42 inference(rename_variables,[],[4206])). % 186.69/186.42 cnf(13499,plain, % 186.69/186.42 (~P1(f862(f862(f321(x134991),x134992),f181(f932(x134991,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13502,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x135021,x135022)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13503,plain, % 186.69/186.42 (E(f862(f862(f225(a924),f862(a105,x135031)),f862(a105,x135032)),f862(a105,f862(f862(f225(a924),x135031),x135032)))), % 186.69/186.42 inference(rename_variables,[],[3691])). % 186.69/186.42 cnf(13506,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x135061,x135062)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13507,plain, % 186.69/186.42 (E(f862(f862(f226(a924),f862(a105,x135071)),f862(a105,x135072)),f862(a105,f862(f862(f226(a924),x135071),x135072)))), % 186.69/186.42 inference(rename_variables,[],[3692])). % 186.69/186.42 cnf(13510,plain, % 186.69/186.42 (P1(f862(f54(a924),f297(a924,x135101,x135102)))), % 186.69/186.42 inference(rename_variables,[],[3728])). % 186.69/186.42 cnf(13519,plain, % 186.69/186.42 (~P1(f862(f862(f321(x135191),x135192),f181(f932(x135191,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13520,plain, % 186.69/186.42 (E(f862(f862(f18(x135201,x135202),x135203),x135204),x135203)), % 186.69/186.42 inference(rename_variables,[],[3515])). % 186.69/186.42 cnf(13523,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x135231,a921)),f862(f165(x135231),f862(f129(x135231,x135232),x135233))),f862(f165(x135231),x135233)))), % 186.69/186.42 inference(rename_variables,[],[4159])). % 186.69/186.42 cnf(13524,plain, % 186.69/186.42 (E(f862(f862(f18(x135241,x135242),x135243),x135244),x135243)), % 186.69/186.42 inference(rename_variables,[],[3515])). % 186.69/186.42 cnf(13527,plain, % 186.69/186.42 (P1(f862(f862(f227(f932(x135271,a921)),f862(f165(x135271),f862(f862(f168(x135271),x135272),x135273))),f862(f165(x135271),x135273)))), % 186.69/186.42 inference(rename_variables,[],[4201])). % 186.69/186.42 cnf(13528,plain, % 186.69/186.42 (E(f862(f862(f18(x135281,x135282),x135283),x135284),x135283)), % 186.69/186.42 inference(rename_variables,[],[3515])). % 186.69/186.42 cnf(13532,plain, % 186.69/186.42 (E(f862(f862(f18(x135321,x135322),x135323),x135324),x135323)), % 186.69/186.42 inference(rename_variables,[],[3515])). % 186.69/186.42 cnf(13545,plain, % 186.69/186.42 (P1(f862(f862(f227(a1),f2(a1)),f862(f93(a1),x135451)))), % 186.69/186.42 inference(rename_variables,[],[3622])). % 186.69/186.42 cnf(13550,plain, % 186.69/186.42 (P22(x135501,x135501,f7(x135501),x135502)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13553,plain, % 186.69/186.42 (~P1(f862(f862(f321(x135531),x135532),f181(f932(x135531,a921))))), % 186.69/186.42 inference(rename_variables,[],[4716])). % 186.69/186.42 cnf(13554,plain, % 186.69/186.42 (E(f862(f275(x135541,x135541),f255(x135541,x135542)),x135542)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13555,plain, % 186.69/186.42 (P22(x135551,x135551,f7(x135551),x135552)), % 186.69/186.42 inference(rename_variables,[],[3758])). % 186.69/186.42 cnf(13559,plain, % 186.69/186.42 (E(f862(f275(x135591,x135591),f255(x135591,x135592)),x135592)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13564,plain, % 186.69/186.42 (P1(f862(f862(f228(f932(a1,a921)),f296(a1,f71(a1),f2(a1))),f296(a1,f2(a1),f71(a1))))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,3968,11992,3508,3602,11818,12103,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,505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2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619])). % 186.69/186.42 cnf(13566,plain, % 186.69/186.42 (P1(f862(f862(f228(f932(a1,a921)),f296(a1,f2(a1),f2(a1))),f296(a1,f862(f72(a1),f862(f93(a1),f862(a105,x135661))),f2(a1))))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,3968,11992,3508,3602,11818,12103,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620])). % 186.69/186.42 cnf(13573,plain, % 186.69/186.42 (P1(f862(f862(f227(a924),f2(a924)),x135731))), % 186.69/186.42 inference(rename_variables,[],[3546])). % 186.69/186.42 cnf(13574,plain, % 186.69/186.42 (P1(f862(f862(f228(a924),f2(a924)),f862(a105,x135741)))), % 186.69/186.42 inference(rename_variables,[],[3602])). % 186.69/186.42 cnf(13575,plain, % 186.69/186.42 (E(f862(f275(x135751,x135751),f255(x135751,x135752)),x135752)), % 186.69/186.42 inference(rename_variables,[],[3483])). % 186.69/186.42 cnf(13578,plain, % 186.69/186.42 (P1(f862(f41(f862(f275(x135781,x135781),f255(x135781,f862(f862(f73(a924),f862(f862(f74(a924),f862(f243(a924,a924),f862(f862(f244(a924,a924),f2(a924)),x135782))),f862(a105,f862(f862(f73(a924),x135783),f862(f248(a924,a924),f862(f862(f244(a924,a924),f2(a924)),x135782)))))),f862(f248(a924,a924),f862(f862(f244(a924,a924),f2(a924)),x135782))))),f862(a105,f862(f862(f73(a924),x135783),f862(f248(a924,a924),f862(f862(f244(a924,a924),f2(a924)),x135782))))),f862(f862(f244(a924,a924),f2(a924)),x135782)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3177,3183,3189,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,475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2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114])). % 186.69/186.42 cnf(13594,plain, % 186.69/186.42 (E(f862(f862(f73(a924),f2(a924)),f332(f862(a105,f2(a924)),f2(a924))),f2(a924))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3175,3177,3183,3189,3193,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,13462,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,4207,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,13545,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114,10062,10444,4799,4832])). % 186.69/186.42 cnf(13654,plain, % 186.69/186.42 (~P1(f862(f862(f228(a1),f2(a1)),f2(a1)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3175,3177,3183,3189,3193,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,13462,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,4207,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,13545,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114,10062,10444,4799,4832,4833,4836,4879,4883,4888,4929,4930,5027,5044,5074,5075,5106,5164,5167,5228,5359,5399,5400,5402,5409,5410,5435,5475,5506,5528,5662,5734,5735,5799,5856])). % 186.69/186.42 cnf(13656,plain, % 186.69/186.42 (P1(f862(f862(f228(a1),f2(a1)),f862(f69(a1),f71(a1))))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3175,3177,3183,3189,3193,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,13462,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,4207,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,13545,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114,10062,10444,4799,4832,4833,4836,4879,4883,4888,4929,4930,5027,5044,5074,5075,5106,5164,5167,5228,5359,5399,5400,5402,5409,5410,5435,5475,5506,5528,5662,5734,5735,5799,5856,5857])). % 186.69/186.42 cnf(13682,plain, % 186.69/186.42 (~P1(f862(f54(x136821),f30(f932(x136821,a921),f234(f932(f932(x136821,a921),a921)))))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3175,3177,3183,3189,3193,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,13462,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,4207,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,13545,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114,10062,10444,4799,4832,4833,4836,4879,4883,4888,4929,4930,5027,5044,5074,5075,5106,5164,5167,5228,5359,5399,5400,5402,5409,5410,5435,5475,5506,5528,5662,5734,5735,5799,5856,5857,5883,5887,5946,5948,5957,5963,6042,6127,6202,6235,6278,6334,6448])). % 186.69/186.42 cnf(13692,plain, % 186.69/186.42 (~P1(f862(f862(f228(a924),f2(a924)),f181(a924)))), % 186.69/186.42 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3175,3177,3183,3189,3193,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,13462,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,4207,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,13545,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114,10062,10444,4799,4832,4833,4836,4879,4883,4888,4929,4930,5027,5044,5074,5075,5106,5164,5167,5228,5359,5399,5400,5402,5409,5410,5435,5475,5506,5528,5662,5734,5735,5799,5856,5857,5883,5887,5946,5948,5957,5963,6042,6127,6202,6235,6278,6334,6448,6575,6736,6774,6946,7204])). % 186.69/186.42 cnf(13712,plain, % 186.69/186.42 (~P22(x137121,x137122,f862(f66(x137123,x137122,x137121,f185(x137124,x137125)),f862(f144(x137126),x137127)),f234(f932(x137121,a921)))), % 186.69/186.43 inference(scs_inference,[],[3330,4174,12809,12835,12998,13000,13002,3758,11415,12479,12582,12585,12677,12719,12723,12731,12803,12957,12959,13387,13393,13398,13402,13408,13411,13435,13550,13555,3767,12549,13028,13030,3774,3492,13034,13036,13038,3493,13008,3459,12889,4689,4690,12068,4448,13049,3496,12977,3331,3390,12950,3391,13018,3392,3393,3394,12759,13040,4688,3816,4670,10493,10505,10518,10529,10601,10638,10641,10644,10748,10885,11192,11385,11388,11407,11410,11606,11714,11721,11735,11783,11786,11819,11836,11899,11956,11975,12270,12295,12309,12338,12344,12438,12545,12712,12773,12922,13467,13471,4430,3578,3544,12990,3726,12242,3442,4676,10732,10832,11295,11395,12831,13491,4668,3117,3120,3122,3123,3128,3129,3132,3133,3135,3136,3137,3139,3140,3148,3149,3151,3152,3157,3158,3160,3163,3166,3167,3171,3174,3175,3177,3183,3189,3193,3203,3206,3207,3214,3225,3226,3236,3237,3240,3248,3254,3260,3262,3263,3264,3270,3276,3279,3280,3283,3284,3285,3293,3304,4665,4666,3309,3389,4667,3855,4080,12006,3364,11711,3506,3483,10564,10567,10665,10668,10988,11726,11729,11847,11886,11891,11959,12001,12453,12653,12867,12924,12931,12933,12935,12937,12966,12968,12970,12972,13022,13045,13257,13426,13554,13559,13575,3410,3454,12744,12748,12752,3460,3469,3975,4276,3436,13319,3589,12806,12892,3353,3354,3720,4066,11757,3419,3350,3380,3835,3376,4074,3897,3360,3361,3341,3987,3400,3579,11142,11269,12546,12763,3453,4148,4683,10555,10729,11603,12704,12745,12749,4686,11536,12716,3515,12088,12091,13353,13451,13520,13524,13528,13532,4106,4714,11321,11420,11666,11669,3488,3916,3512,3626,3841,3618,4692,3593,12983,12985,13026,3416,3417,10630,10964,4703,3678,3457,13004,3408,3332,3438,11747,4290,12734,12879,4150,11341,11472,11531,12688,12694,12820,12823,12857,4736,11244,11485,11597,11626,11674,11680,12632,4737,11374,11488,11600,4738,11491,11545,4739,11552,4740,3437,3717,12588,12629,12715,3881,3666,4564,4565,3701,3739,4681,11740,3859,3818,3861,4030,3787,13240,13244,13248,13252,13262,4076,12579,3703,3958,3590,10649,10771,10851,10924,10927,10967,11067,11311,11933,12140,12186,12266,12331,12409,12444,12517,12520,12861,13123,13161,13164,13223,13470,13475,3968,11992,3508,3602,11818,12103,13461,13574,3780,4709,10532,10535,10561,10692,10869,11075,11090,11202,11648,11750,11932,12157,12162,12385,12388,12465,12635,12738,13069,13088,13091,13115,13165,13335,13340,13363,13368,13462,4720,11863,11894,11929,11936,11972,13174,13178,3955,3727,3728,13094,13097,13100,13103,13133,13136,13502,13506,13510,3730,4098,3691,13503,3692,13507,3552,3554,3528,4706,3415,4678,3907,4212,3710,4721,4283,11620,3840,3564,12109,12112,12553,12657,12838,12910,4712,10523,10526,10700,10795,10814,10821,10846,10854,10857,10874,11060,11298,11511,11812,11908,12057,12175,12178,4252,4211,12259,12603,4159,12613,12762,13523,4201,13527,4206,11344,12476,12552,12612,12656,13356,13494,4207,3882,11940,12269,12416,12484,12536,12830,4240,4526,4525,3899,10695,10792,11347,11425,11504,11571,12437,12498,12768,12834,12854,12864,13326,13392,13397,13417,13438,4725,11093,11496,12616,13405,3524,10658,10758,10910,10974,11839,12060,12106,12137,12239,12294,12491,12660,3525,11049,11096,11099,11130,11150,11186,11224,11263,12312,12315,12318,12321,12505,12508,12511,12514,12596,12779,12826,13116,13139,13215,13226,13231,13234,13237,13270,13281,13346,13374,13377,3526,10687,10743,10979,11070,11189,12143,12154,12245,12256,12275,12280,12324,12347,12364,13130,13274,13294,13336,13341,13364,13369,3527,12523,12526,3598,12468,13194,13241,13245,13249,13253,13263,13267,4705,10572,10604,11114,11153,11162,12020,12041,12213,12216,12219,12222,12308,12327,12330,12343,12397,12400,12403,12406,12564,12567,12663,12666,12772,12812,12901,3673,10837,10930,11197,11241,11475,11478,11560,11645,11822,12071,12711,12904,13318,13442,4716,11123,11233,11254,11257,11324,11327,11338,11441,11449,11463,11499,11516,11525,11568,11609,11614,11617,11623,11639,11642,11683,11688,11691,11694,11697,11939,12085,12118,12391,12394,12428,12469,12494,12641,12685,12691,12791,12794,12816,12878,12884,12895,12916,13193,13209,13212,13307,13430,13454,13457,13499,13519,13553,3583,10961,10991,11000,11003,11006,11589,12813,12827,13175,13179,13182,13185,3622,13484,13545,3615,4034,3973,10607,11995,12023,13156,4713,10552,10949,10952,11444,11460,11955,12011,12045,12072,12172,12201,12204,12207,12210,12464,13380,3546,10994,11147,11217,12024,12171,12369,12572,12597,13206,13487,13573,3997,12115,13110,4331,3733,4711,4008,4042,4695,4699,4701,3499,3505,4700,4696,4697,4698,4499,3830,11988,4425,11846,4727,10860,10863,4734,11330,11333,11519,11636,11657,11703,4116,11700,12044,12048,12722,12730,12819,13322,13386,3963,11260,11266,11284,12291,12421,12497,12787,3814,11400,11522,12529,12638,12648,12727,12782,12790,12913,13329,4288,3965,10997,11363,11528,11565,11576,12726,12776,13422,3674,3781,10913,10916,11009,11173,3783,4731,11989,4726,13078,4732,10751,10866,12591,12600,12644,12848,4386,11133,12609,12624,12647,4294,3996,12919,3941,3942,4729,10577,10580,10955,10958,11860,12049,12860,4730,11969,12054,3966,10919,11179,13474,3967,4225,4751,4778,4800,4834,4838,4863,4878,4885,4887,4923,4928,4958,4964,5050,5076,5077,5092,5142,5143,5165,5166,5180,5184,5210,5216,5232,5236,5237,5238,5243,5244,5267,5291,5293,5294,5304,5309,5315,5351,5352,5360,5368,5372,5374,5378,5390,5392,5398,5403,5404,5417,5423,5426,5427,5428,5432,5461,5476,5485,5487,5488,5491,5492,5493,5503,5505,5511,5512,5513,5519,5523,5524,5525,5533,5537,5538,5539,5545,5558,5566,5578,5580,5588,5590,5591,5594,5598,5624,5638,5639,5654,5665,5687,5693,5715,5716,5720,5740,5748,5749,5754,5755,5766,5768,5781,5785,5794,5795,5797,5798,5814,5819,5828,5829,5840,5847,5861,5865,5868,5874,5875,5876,5879,5884,5920,5921,5924,5926,5928,5930,5931,5932,5934,5936,5938,5943,5950,5965,5979,5985,5986,5989,6000,6001,6008,6012,6014,6019,6027,6065,6068,6080,6089,6092,6101,6105,6106,6107,6108,6109,6114,6119,6129,6135,6153,6157,6166,6195,6212,6238,6255,6256,6259,6273,6275,6277,6279,6294,6295,6298,6300,6303,6304,6319,6327,6328,6329,6331,6333,6371,6372,6378,6381,6387,6391,6425,6427,6429,6431,6441,6443,6446,6452,6454,6459,6462,6470,6478,6480,6481,6488,6512,6513,6514,6515,6516,6518,6525,6530,6563,6564,6567,6568,6569,6571,6572,6573,6574,6582,6615,6616,6625,6646,6647,6670,6672,6684,6685,6691,6722,6724,6739,6780,6782,6783,6838,6862,6904,6919,6927,6936,6937,6938,6939,6957,6958,6965,6978,6981,6983,6985,6986,6987,6989,7003,7014,7015,7016,7029,7084,7095,7097,7120,7121,7157,7164,7199,7228,7285,7314,7371,7392,7400,7404,7465,7475,7536,7538,7553,7562,7563,7564,7580,7584,7586,7632,7642,7645,7659,7706,7708,7711,7755,7756,7774,7844,7862,7886,7910,7922,7936,7947,7958,7959,7985,7987,7989,7998,8037,8048,8073,8101,8134,8167,8201,8240,8256,8258,8274,8275,8343,8354,8420,8444,8463,8490,8529,8530,8547,8586,8588,8590,8597,8612,8616,8631,8653,8661,8663,8673,8678,8682,8683,8684,8685,8686,8687,8707,8722,8723,8741,8743,8748,8749,8750,8751,8752,8770,8771,8772,8782,8795,8798,8809,8814,8816,8818,8819,8820,8827,8833,8841,8844,8861,8862,8871,8872,8880,8900,8913,8917,8938,8960,8961,8964,8965,8971,8980,8981,9004,9015,9026,9027,9028,9032,9055,9056,9067,9116,9126,9128,9144,9156,9157,9158,9169,9233,9264,9265,9266,9281,9299,9307,9336,9337,9405,9439,9445,9455,9456,9457,9466,9496,9512,9516,9520,9537,9543,9544,9572,9637,9642,9645,9680,9681,9682,9710,9711,9727,9748,9754,9766,9791,9812,9821,9822,9823,9824,9839,9841,9846,9876,9877,9883,9884,9929,9930,9941,9942,9966,9974,9985,9987,9988,9996,10001,10009,10033,10067,10069,10073,10091,10092,10126,10160,10170,10172,10176,10177,10179,10189,10190,10210,10215,10311,10397,10398,10399,10400,10459,10477,2,8,9,4764,4765,4784,4827,4828,4830,4854,4856,4857,4867,4912,4914,4963,5093,5094,5107,5131,5187,5188,5194,5195,5196,5198,5200,5209,5212,5213,5221,5234,5235,5241,5262,5263,5280,5285,5286,5287,5288,5292,5300,5303,5310,5365,5370,5371,5377,5384,5414,5424,5430,5440,5455,5458,5460,5467,5468,5470,5481,5499,5501,5502,5509,5516,5517,5529,5530,5531,5532,5534,5535,5541,5542,5543,5544,5574,5575,5576,5584,5585,5586,5587,5630,5635,5637,5672,5674,5675,5677,5678,5680,5681,5683,5692,5697,5698,5699,5701,5703,5704,5705,5706,5707,5708,5717,5718,5728,5731,5743,5759,5760,5764,5774,5777,5778,5779,5806,5816,5831,5832,5841,5842,5844,5846,5851,5886,5891,5893,5952,5987,5988,5993,5999,6002,6003,6004,6005,6024,6028,6029,6038,6060,6093,6112,6113,6117,6118,6120,6143,6147,6150,6151,6152,6168,6179,6180,6214,6215,6219,6240,6243,6246,6267,6268,6296,6299,6308,6318,6326,6330,6338,6339,6340,6341,6374,6375,6392,6445,6482,6484,6485,6509,6510,6517,6521,6522,6526,6540,6555,6576,6577,6583,6592,6595,6608,6628,6634,6636,6651,6652,6655,6656,6658,6660,6661,6662,6664,6666,6671,6677,6678,6680,6681,6687,6689,6732,6738,6753,6757,6758,6759,6793,6798,6800,6805,6806,6816,6820,6833,6857,6858,6860,6861,6872,6878,6896,6899,6920,6940,6951,6952,6953,6959,6974,6993,6995,6997,6999,7004,7010,7012,7026,7031,7032,7069,7070,7071,7086,7087,7089,7090,7110,7112,7127,7155,7176,7188,7190,7192,7194,7195,7225,7226,7227,7231,7232,7239,7240,7242,7244,7266,7276,7277,7288,7298,7338,7348,7354,7361,7372,7377,7379,7386,7408,7425,7447,7449,7468,7522,7523,7524,7526,7528,7532,7537,7600,7628,7643,7658,7690,7693,7714,7738,7757,7760,7761,7771,7791,7793,7795,7797,7798,7799,7800,7801,7826,7852,7853,7885,7887,7888,7889,7895,7916,7933,7938,7944,7946,7954,7966,7967,7969,7990,7996,8018,8086,8087,8088,8137,8143,8144,8169,8170,8187,8188,8189,8247,8248,8277,8308,8317,8331,8346,8376,8380,8386,8398,8416,8421,8443,8488,8517,8531,8550,8553,8579,8606,8664,8665,8668,8669,8739,8774,8775,8776,8777,8804,8836,8865,8873,8874,8916,8937,8982,8998,9046,9049,9064,9071,9113,9152,9153,9171,9172,9186,9304,9309,9313,9334,9345,9368,9370,9373,9379,9381,9382,9392,9393,9412,9420,9431,9438,9482,9500,9556,9557,9564,9573,9604,9629,9634,9674,9686,9690,9691,9695,9696,9709,9732,9747,9756,9757,9759,9761,9790,9911,9912,9961,9962,10002,10038,10151,10219,10245,10289,10371,10389,10394,3,2839,2842,2843,2844,2846,2851,2856,2865,2872,2875,2876,2878,2879,2884,2885,2886,2887,2888,2889,2894,2895,2898,2902,2903,2904,2905,2906,2911,2913,2921,2924,2925,2926,2930,2932,2943,2944,2946,2947,2954,2955,2956,2964,2965,2967,2968,2969,2970,2971,2972,2973,2979,2980,2981,2982,2983,2984,2987,2988,2998,3008,3009,3010,3012,3014,3015,3025,3026,3027,3032,3033,3034,3041,3048,3051,3052,3053,3060,3062,3088,3099,5457,5498,5646,5647,5648,5729,5830,5860,5894,5910,5912,5918,5980,5981,5982,5983,5991,6026,6163,6203,6213,6237,6271,6309,6461,6466,6507,6508,6531,6533,6535,6542,6543,6544,6545,6546,6547,6548,6549,6629,6701,6702,6792,6828,6829,6869,6870,7011,7025,7081,7099,7100,7106,7128,7161,7163,7209,7229,7230,7248,7249,7287,7332,7333,7432,7503,7504,7505,7506,7521,7554,7605,7606,7614,7619,7620,7631,7661,7662,7663,7664,7808,7810,7811,7812,7818,7819,7893,8024,8027,8033,8034,8045,8083,8084,8165,8206,8260,8282,8283,8361,8456,8527,8528,8532,8565,8602,8627,8628,8696,8715,8716,8717,8718,8869,9130,9131,9200,9214,9267,9268,9389,9424,9450,9484,9525,9730,9853,9997,10187,10188,10244,10247,10290,6061,6613,6614,6704,6725,6726,7152,7370,8710,8790,9040,9225,9226,9295,9296,9479,9576,9577,9578,9579,9793,10061,10075,10445,10446,6686,8619,8620,9096,9114,10062,10444,4799,4832,4833,4836,4879,4883,4888,4929,4930,5027,5044,5074,5075,5106,5164,5167,5228,5359,5399,5400,5402,5409,5410,5435,5475,5506,5528,5662,5734,5735,5799,5856,5857,5883,5887,5946,5948,5957,5963,6042,6127,6202,6235,6278,6334,6448,6575,6736,6774,6946,7204,7375,7589,7607,7668,8003,8004,8164,8257,8963,9094])). % 186.69/186.43 cnf(13861,plain, % 186.69/186.43 (~P1(f862(f862(f321(x138611),x138612),f181(f932(x138611,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(13866,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x138661),f862(f862(f73(a924),x138661),x138662)))), % 186.69/186.43 inference(rename_variables,[],[3783])). % 186.69/186.43 cnf(13875,plain, % 186.69/186.43 (~E(x138751,f862(a105,x138751))), % 186.69/186.43 inference(rename_variables,[],[10587])). % 186.69/186.43 cnf(13878,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x138781,x138781)),x138782),f255(x138781,f181(f932(x138781,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(13883,plain, % 186.69/186.43 (~E(f862(f862(f144(x138831),x138832),x138833),x138833)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(13886,plain, % 186.69/186.43 (E(f862(x138861,f862(f86(x138862,x138863,f234(f932(x138862,a921)),x138861),f862(x138861,x138864))),f862(x138861,x138864))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(13889,plain, % 186.69/186.43 (~E(f862(f862(f144(x138891),x138892),x138893),f106(x138891))), % 186.69/186.43 inference(rename_variables,[],[4686])). % 186.69/186.43 cnf(13892,plain, % 186.69/186.43 (E(f862(f862(f127(x138921),f106(x138921)),x138922),x138922)), % 186.69/186.43 inference(rename_variables,[],[3478])). % 186.69/186.43 cnf(13895,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),x138951),x138951))), % 186.69/186.43 inference(rename_variables,[],[4705])). % 186.69/186.43 cnf(13905,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x139051,a921)),f862(f165(x139051),f862(f129(x139051,x139052),x139053))),f862(f165(x139051),x139053)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(13912,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),f38(a924,x139121,x139122)),x139121))), % 186.69/186.43 inference(rename_variables,[],[3973])). % 186.69/186.43 cnf(13923,plain, % 186.69/186.43 (~P1(f862(f862(f227(a924),f862(a105,x139231)),x139231))), % 186.69/186.43 inference(rename_variables,[],[4713])). % 186.69/186.43 cnf(13926,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x139261,a921)),f862(f165(x139261),f862(f129(x139261,x139262),x139263))),f862(f165(x139261),x139263)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(13935,plain, % 186.69/186.43 (~P1(f862(f862(f321(x139351),x139352),f181(f932(x139351,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(13938,plain, % 186.69/186.43 (E(f862(x139381,f862(f86(x139382,x139383,f234(f932(x139382,a921)),x139381),f862(x139381,x139384))),f862(x139381,x139384))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(13941,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x139411),f862(f862(f74(a924),x139411),x139411)))), % 186.69/186.43 inference(rename_variables,[],[3781])). % 186.69/186.43 cnf(13966,plain, % 186.69/186.43 (~E(f862(f862(f144(x139661),x139662),x139663),x139663)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(13971,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x139711),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(13991,plain, % 186.69/186.43 (P1(f862(f862(f228(a924),x139911),f862(a105,f862(f862(f73(a924),x139912),x139911))))), % 186.69/186.43 inference(rename_variables,[],[3966])). % 186.69/186.43 cnf(13994,plain, % 186.69/186.43 (~P1(f862(f862(f181(f932(x139941,f932(x139942,a921))),x139943),x139944))), % 186.69/186.43 inference(rename_variables,[],[4732])). % 186.69/186.43 cnf(13999,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),f2(a924)),x139991))), % 186.69/186.43 inference(rename_variables,[],[3546])). % 186.69/186.43 cnf(14002,plain, % 186.69/186.43 (~P32(x140021,x140022,x140023,f862(f862(f147(x140024,x140021),x140025),f862(a105,f106(x140024))),f106(x140022))), % 186.69/186.43 inference(rename_variables,[],[11533])). % 186.69/186.43 cnf(14005,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x140051),x140051))), % 186.69/186.43 inference(rename_variables,[],[3525])). % 186.69/186.43 cnf(14014,plain, % 186.69/186.43 (~E(f862(f862(f144(x140141),x140142),x140143),x140143)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14017,plain, % 186.69/186.43 (~P1(f862(f862(f321(x140171),x140172),f181(f932(x140171,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14022,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x140221,x140221)),x140222),f255(x140221,f181(f932(x140221,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14029,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x140291),x140292)),x140291))), % 186.69/186.43 inference(rename_variables,[],[4730])). % 186.69/186.43 cnf(14042,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x140421,a921)),f862(f165(x140421),f862(f129(x140421,x140422),x140423))),f862(f165(x140421),x140423)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(14045,plain, % 186.69/186.43 (~P1(f862(f862(f321(x140451),x140452),f862(f302(x140453,x140451,x140454),f181(f932(x140453,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11498])). % 186.69/186.43 cnf(14050,plain, % 186.69/186.43 (~E(f862(f862(f301(x140501),x140502),x140503),f181(f932(x140501,a921)))), % 186.69/186.43 inference(rename_variables,[],[4692])). % 186.69/186.43 cnf(14053,plain, % 186.69/186.43 (~P1(f862(f55(x140531,x140532,f181(f932(x140531,a921))),x140533))), % 186.69/186.43 inference(rename_variables,[],[4727])). % 186.69/186.43 cnf(14056,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x140561,a921)),f862(f302(x140562,x140561,x140563),f862(f303(x140562,x140561,x140563),x140564))),x140564))), % 186.69/186.43 inference(rename_variables,[],[4386])). % 186.69/186.43 cnf(14065,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x140651),f862(f862(f73(a924),x140651),x140652)))), % 186.69/186.43 inference(rename_variables,[],[3783])). % 186.69/186.43 cnf(14071,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x140711),x140711))), % 186.69/186.43 inference(rename_variables,[],[3525])). % 186.69/186.43 cnf(14074,plain, % 186.69/186.43 (~P1(f862(f862(f321(x140741),x140742),f181(f932(x140741,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14082,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x140821,a921)),f862(f276(x140822,x140821,x140823),f181(f932(x140822,a921)))),x140824))), % 186.69/186.43 inference(rename_variables,[],[11575])). % 186.69/186.43 cnf(14089,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(f925(x140891),f925(x140891))),f862(f862(f244(f925(x140891),f925(x140891)),x140892),f106(x140891))),f140(x140891,x140893)))), % 186.69/186.43 inference(rename_variables,[],[4737])). % 186.69/186.43 cnf(14094,plain, % 186.69/186.43 (P1(f862(f862(f228(a924),x140941),f862(a105,f862(f862(f73(a924),x140941),x140942))))), % 186.69/186.43 inference(rename_variables,[],[3967])). % 186.69/186.43 cnf(14103,plain, % 186.69/186.43 (P1(f862(f862(f227(a1),x141031),x141031))), % 186.69/186.43 inference(rename_variables,[],[3526])). % 186.69/186.43 cnf(14111,plain, % 186.69/186.43 (~P1(f862(f862(f181(f932(x141111,f932(x141112,a921))),x141113),x141114))), % 186.69/186.43 inference(rename_variables,[],[4732])). % 186.69/186.43 cnf(14124,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x141241),f862(f862(f74(a924),x141241),x141241)))), % 186.69/186.43 inference(rename_variables,[],[3781])). % 186.69/186.43 cnf(14127,plain, % 186.69/186.43 (E(f862(f275(x141271,x141271),f255(x141271,x141272)),x141272)), % 186.69/186.43 inference(rename_variables,[],[3483])). % 186.69/186.43 cnf(14130,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x141301),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14135,plain, % 186.69/186.43 (~E(x141351,f862(a105,x141351))), % 186.69/186.43 inference(rename_variables,[],[10587])). % 186.69/186.43 cnf(14138,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x141381,x141381)),x141382),f255(x141381,f181(f932(x141381,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14141,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x141411),f862(f862(f73(a924),x141411),x141412)))), % 186.69/186.43 inference(rename_variables,[],[3783])). % 186.69/186.43 cnf(14148,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x141481),f862(f862(f74(a924),x141481),x141481)))), % 186.69/186.43 inference(rename_variables,[],[3781])). % 186.69/186.43 cnf(14151,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x141511),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14157,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x141571,x141571)),x141572),f255(x141571,f181(f932(x141571,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14160,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x141601,a921)),f862(f165(x141601),f862(f129(x141601,x141602),x141603))),f862(f165(x141601),x141603)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(14177,plain, % 186.69/186.43 (~E(f862(f862(f144(x141771),x141772),x141773),f106(x141771))), % 186.69/186.43 inference(rename_variables,[],[4686])). % 186.69/186.43 cnf(14180,plain, % 186.69/186.43 (P1(f862(f862(f321(f931(x141801,x141801)),x141802),f299(x141801,f234(f932(f931(x141801,x141801),a921)))))), % 186.69/186.43 inference(rename_variables,[],[11196])). % 186.69/186.43 cnf(14185,plain, % 186.69/186.43 (~E(f862(f862(f144(x141851),x141852),x141853),x141853)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14198,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x141981,x141981)),x141982),f255(x141981,f181(f932(x141981,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14205,plain, % 186.69/186.43 (P1(f862(f862(f228(a1),f862(f862(f3(a1),x142051),f71(a1))),x142051))), % 186.69/186.43 inference(rename_variables,[],[11069])). % 186.69/186.43 cnf(14212,plain, % 186.69/186.43 (P1(f862(f862(f321(x142121),f862(x142122,x142123)),f862(f302(x142124,x142121,x142122),f234(f932(x142124,a921)))))), % 186.69/186.43 inference(rename_variables,[],[4116])). % 186.69/186.43 cnf(14219,plain, % 186.69/186.43 (~P1(f862(f862(f227(a924),f862(f862(f74(a924),f862(a105,x142191)),f862(a105,x142191))),x142191))), % 186.69/186.43 inference(rename_variables,[],[11008])). % 186.69/186.43 cnf(14226,plain, % 186.69/186.43 (~E(f862(a105,x142261),f2(a924))), % 186.69/186.43 inference(rename_variables,[],[4676])). % 186.69/186.43 cnf(14229,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x142291),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14238,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x142381),x142382)),x142381))), % 186.69/186.43 inference(rename_variables,[],[4730])). % 186.69/186.43 cnf(14248,plain, % 186.69/186.43 (~P1(f862(f862(f321(x142481),x142482),f862(f303(x142481,x142483,x142484),f181(f932(x142483,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11256])). % 186.69/186.43 cnf(14253,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x142531,a921)),f862(f165(x142531),f862(f129(x142531,x142532),x142533))),f862(f165(x142531),x142533)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(14256,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x142561,x142561)),x142562),f255(x142561,f181(f932(x142561,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14261,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x142611),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14285,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),x142851),f862(f862(f94(a924),x142851),x142852)))), % 186.69/186.43 inference(rename_variables,[],[12399])). % 186.69/186.43 cnf(14292,plain, % 186.69/186.43 (E(f862(f85(x142921),f588(x142921,x142922)),x142922)), % 186.69/186.43 inference(rename_variables,[],[3410])). % 186.69/186.43 cnf(14306,plain, % 186.69/186.43 (E(f862(f275(x143061,x143061),f255(x143061,x143062)),x143062)), % 186.69/186.43 inference(rename_variables,[],[3483])). % 186.69/186.43 cnf(14313,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x143131,a921)),x143132),f862(f862(f103(f932(x143131,a921)),x143133),f234(f932(x143131,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11503])). % 186.69/186.43 cnf(14321,plain, % 186.69/186.43 (~E(f862(f862(f144(x143211),x143212),x143213),x143213)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14324,plain, % 186.69/186.43 (P1(f862(f862(f228(a1),f862(f862(f3(a1),x143241),f71(a1))),x143241))), % 186.69/186.43 inference(rename_variables,[],[11069])). % 186.69/186.43 cnf(14329,plain, % 186.69/186.43 (~E(f862(f862(f94(a924),f862(a105,x143291)),x143291),f862(a105,x143291))), % 186.69/186.43 inference(rename_variables,[],[11879])). % 186.69/186.43 cnf(14343,plain, % 186.69/186.43 (~E(f862(f862(f301(x143431),x143432),x143433),f181(f932(x143431,a921)))), % 186.69/186.43 inference(rename_variables,[],[4692])). % 186.69/186.43 cnf(14350,plain, % 186.69/186.43 (~P1(f862(f55(x143501,x143502,f181(f932(x143501,a921))),x143503))), % 186.69/186.43 inference(rename_variables,[],[4727])). % 186.69/186.43 cnf(14357,plain, % 186.69/186.43 (~P1(f862(f862(f321(x143571),x143572),f862(f303(x143571,x143573,x143574),f181(f932(x143573,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11256])). % 186.69/186.43 cnf(14368,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x143681),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14375,plain, % 186.69/186.43 (~P1(f862(f862(f321(x143751),x143752),f862(f303(x143751,x143753,x143754),f181(f932(x143753,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11256])). % 186.69/186.43 cnf(14378,plain, % 186.69/186.43 (~P1(f862(f862(f321(x143781),x143782),f181(f932(x143781,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14383,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x143831),x143831))), % 186.69/186.43 inference(rename_variables,[],[3525])). % 186.69/186.43 cnf(14386,plain, % 186.69/186.43 (~P1(f862(f55(x143861,x143862,f181(f932(x143861,a921))),x143863))), % 186.69/186.43 inference(rename_variables,[],[4727])). % 186.69/186.43 cnf(14396,plain, % 186.69/186.43 (E(f862(x143961,f862(f86(x143962,x143963,f234(f932(x143962,a921)),x143961),f862(x143961,x143964))),f862(x143961,x143964))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(14411,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x144111,a921)),x144112),x144112))), % 186.69/186.43 inference(rename_variables,[],[3814])). % 186.69/186.43 cnf(14416,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x144161,a921)),f862(f165(x144161),f862(f129(x144161,x144162),x144163))),f862(f165(x144161),x144163)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(14419,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(f925(x144191),f925(x144191))),f862(f862(f244(f925(x144191),f925(x144191)),f106(x144191)),x144192)),f150(x144191,x144193)))), % 186.69/186.43 inference(rename_variables,[],[4740])). % 186.69/186.43 cnf(14426,plain, % 186.69/186.43 (~P1(f862(f862(f227(a924),f862(f862(f74(a924),f862(a105,x144261)),f862(a105,x144261))),x144261))), % 186.69/186.43 inference(rename_variables,[],[11008])). % 186.69/186.43 cnf(14429,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x144291),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14435,plain, % 186.69/186.43 (~E(f862(f862(f144(x144351),x144352),x144353),x144353)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14442,plain, % 186.69/186.43 (~E(f862(f862(f144(x144421),x144422),x144423),x144423)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14458,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),x144581),x144581))), % 186.69/186.43 inference(rename_variables,[],[4705])). % 186.69/186.43 cnf(14468,plain, % 186.69/186.43 (~P32(x144681,x144682,x144683,f862(f862(f147(x144684,x144681),x144685),f862(a105,f106(x144684))),f106(x144682))), % 186.69/186.43 inference(rename_variables,[],[11533])). % 186.69/186.43 cnf(14478,plain, % 186.69/186.43 (P1(f862(f862(f228(a1),f862(f862(f3(a1),x144781),f71(a1))),x144781))), % 186.69/186.43 inference(rename_variables,[],[11069])). % 186.69/186.43 cnf(14481,plain, % 186.69/186.43 (P1(f862(f862(f321(f931(x144811,x144811)),f862(f862(f244(x144811,x144811),x144812),x144812)),f299(x144811,x144813)))), % 186.69/186.43 inference(rename_variables,[],[4150])). % 186.69/186.43 cnf(14486,plain, % 186.69/186.43 (E(f862(x144861,f862(f86(x144862,x144863,f234(f932(x144862,a921)),x144861),f862(x144861,x144864))),f862(x144861,x144864))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(14497,plain, % 186.69/186.43 (E(f862(x144971,f862(f86(x144972,x144973,f234(f932(x144972,a921)),x144971),f862(x144971,x144974))),f862(x144971,x144974))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(14522,plain, % 186.69/186.43 (~E(f862(f862(f144(x145221),x145222),x145223),x145223)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14525,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(f925(x145251),f925(x145251))),f862(f862(f244(f925(x145251),f925(x145251)),x145252),f106(x145251))),f138(x145251,x145253)))), % 186.69/186.43 inference(rename_variables,[],[4736])). % 186.69/186.43 cnf(14528,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x145281,a921)),f862(f165(x145281),f862(f129(x145281,x145282),x145283))),f862(f165(x145281),x145283)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(14533,plain, % 186.69/186.43 (P1(f862(f862(f321(x145331),f862(x145332,x145333)),f862(f302(x145334,x145331,x145332),f234(f932(x145334,a921)))))), % 186.69/186.43 inference(rename_variables,[],[4116])). % 186.69/186.43 cnf(14546,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x145461),f862(f862(f74(a924),x145461),x145461)))), % 186.69/186.43 inference(rename_variables,[],[3781])). % 186.69/186.43 cnf(14551,plain, % 186.69/186.43 (~E(f862(f862(f94(a924),f862(a105,x145511)),x145511),f862(a105,x145511))), % 186.69/186.43 inference(rename_variables,[],[11879])). % 186.69/186.43 cnf(14554,plain, % 186.69/186.43 (E(f862(f275(x145541,x145541),f255(x145541,x145542)),x145542)), % 186.69/186.43 inference(rename_variables,[],[3483])). % 186.69/186.43 cnf(14569,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x145691,x145691)),x145692),f255(x145691,f181(f932(x145691,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14575,plain, % 186.69/186.43 (P32(x145751,x145752,x145753,f862(f862(f147(x145754,x145751),x145755),f107(x145754,f106(x145754))),f106(x145752))), % 186.69/186.43 inference(rename_variables,[],[11540])). % 186.69/186.43 cnf(14580,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x145801),x145802)),x145801))), % 186.69/186.43 inference(rename_variables,[],[4730])). % 186.69/186.43 cnf(14585,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x145851),f862(f862(f73(a924),x145851),x145852)))), % 186.69/186.43 inference(rename_variables,[],[3783])). % 186.69/186.43 cnf(14588,plain, % 186.69/186.43 (E(f862(f85(x145881),f588(x145881,x145882)),x145882)), % 186.69/186.43 inference(rename_variables,[],[3410])). % 186.69/186.43 cnf(14591,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),f862(f862(f73(a924),x145911),x145912)),x145912))), % 186.69/186.43 inference(rename_variables,[],[4729])). % 186.69/186.43 cnf(14601,plain, % 186.69/186.43 (P1(f862(f862(f228(a1),f862(f862(f3(a1),x146011),f71(a1))),x146011))), % 186.69/186.43 inference(rename_variables,[],[11069])). % 186.69/186.43 cnf(14604,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),f2(a924)),x146041))), % 186.69/186.43 inference(rename_variables,[],[3546])). % 186.69/186.43 cnf(14609,plain, % 186.69/186.43 (~P1(f862(f55(x146091,x146092,f181(f932(x146091,a921))),x146093))), % 186.69/186.43 inference(rename_variables,[],[4727])). % 186.69/186.43 cnf(14633,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x146331,x146331)),x146332),f255(x146331,f181(f932(x146331,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14638,plain, % 186.69/186.43 (E(f862(f85(x146381),f588(x146381,x146382)),x146382)), % 186.69/186.43 inference(rename_variables,[],[3410])). % 186.69/186.43 cnf(14656,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x146561,x146561)),x146562),f255(x146561,f181(f932(x146561,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14662,plain, % 186.69/186.43 (E(f862(x146621,f862(f86(x146622,x146623,f234(f932(x146622,a921)),x146621),f862(x146621,x146624))),f862(x146621,x146624))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(14665,plain, % 186.69/186.43 (~E(f862(f862(f144(x146651),x146652),x146653),x146653)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14670,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x146701,a921)),f862(f165(x146701),f862(f129(x146701,x146702),x146703))),f862(f165(x146701),x146703)))), % 186.69/186.43 inference(rename_variables,[],[4159])). % 186.69/186.43 cnf(14679,plain, % 186.69/186.43 (~P1(f862(f862(f321(x146791),x146792),f181(f932(x146791,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14686,plain, % 186.69/186.43 (P1(f862(f862(f321(x146861),f862(x146862,x146863)),f862(f302(x146864,x146861,x146862),f234(f932(x146864,a921)))))), % 186.69/186.43 inference(rename_variables,[],[4116])). % 186.69/186.43 cnf(14691,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),x146911),x146911))), % 186.69/186.43 inference(rename_variables,[],[4705])). % 186.69/186.43 cnf(14697,plain, % 186.69/186.43 (~P1(f862(f862(f321(x146971),x146972),f862(f303(x146971,x146973,x146974),f181(f932(x146973,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11256])). % 186.69/186.43 cnf(14706,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x147061,a921)),x147062),x147062))), % 186.69/186.43 inference(rename_variables,[],[3814])). % 186.69/186.43 cnf(14711,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(f925(x147111),f925(x147111))),f862(f862(f244(f925(x147111),f925(x147111)),x147112),f106(x147111))),f150(x147111,x147113)))), % 186.69/186.43 inference(rename_variables,[],[4738])). % 186.69/186.43 cnf(14716,plain, % 186.69/186.43 (~E(f862(f862(f144(x147161),x147162),x147163),x147163)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14721,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x147211,x147211)),x147212),f255(x147211,f181(f932(x147211,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14734,plain, % 186.69/186.43 (P1(f862(f862(f228(a1),f862(f862(f3(a1),x147341),f71(a1))),x147341))), % 186.69/186.43 inference(rename_variables,[],[11069])). % 186.69/186.43 cnf(14758,plain, % 186.69/186.43 (~P1(f862(f862(f321(x147581),x147582),f181(f932(x147581,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14764,plain, % 186.69/186.43 (~E(f862(f862(f144(x147641),x147642),x147643),x147643)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14769,plain, % 186.69/186.43 (~P1(f862(f55(x147691,x147692,f181(f932(x147691,a921))),x147693))), % 186.69/186.43 inference(rename_variables,[],[4727])). % 186.69/186.43 cnf(14775,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x147751),f862(f862(f74(a924),x147751),x147751)))), % 186.69/186.43 inference(rename_variables,[],[3781])). % 186.69/186.43 cnf(14778,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x147781),x147781))), % 186.69/186.43 inference(rename_variables,[],[3525])). % 186.69/186.43 cnf(14791,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x147911),f862(f862(f74(a924),x147911),x147911)))), % 186.69/186.43 inference(rename_variables,[],[3781])). % 186.69/186.43 cnf(14796,plain, % 186.69/186.43 (E(f862(f302(x147961,x147961,f25(x147961)),x147962),x147962)), % 186.69/186.43 inference(rename_variables,[],[3580])). % 186.69/186.43 cnf(14799,plain, % 186.69/186.43 (E(f862(x147991,f862(f86(x147992,x147993,f234(f932(x147992,a921)),x147991),f862(x147991,x147994))),f862(x147991,x147994))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(14802,plain, % 186.69/186.43 (~E(f862(f862(f144(x148021),x148022),x148023),x148023)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14813,plain, % 186.69/186.43 (E(f862(f275(x148131,x148131),f255(x148131,x148132)),x148132)), % 186.69/186.43 inference(rename_variables,[],[3483])). % 186.69/186.43 cnf(14826,plain, % 186.69/186.43 (E(f862(f275(x148261,x148261),f255(x148261,x148262)),x148262)), % 186.69/186.43 inference(rename_variables,[],[3483])). % 186.69/186.43 cnf(14840,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x148401,x148401)),x148402),f255(x148401,f181(f932(x148401,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14843,plain, % 186.69/186.43 (~P1(f862(f862(f321(x148431),x148432),f181(f932(x148431,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14853,plain, % 186.69/186.43 (P1(f862(f862(f227(a924),x148531),x148531))), % 186.69/186.43 inference(rename_variables,[],[3525])). % 186.69/186.43 cnf(14868,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x148681),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14871,plain, % 186.69/186.43 (~P1(f862(f862(f228(a924),x148711),x148711))), % 186.69/186.43 inference(rename_variables,[],[4705])). % 186.69/186.43 cnf(14874,plain, % 186.69/186.43 (~P1(f862(f862(f227(a924),f862(f862(f74(a924),f862(a105,x148741)),f862(a105,x148741))),x148741))), % 186.69/186.43 inference(rename_variables,[],[11008])). % 186.69/186.43 cnf(14908,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x149081,a921)),x149082),x149082))), % 186.69/186.43 inference(rename_variables,[],[3814])). % 186.69/186.43 cnf(14937,plain, % 186.69/186.43 (E(f862(f85(x149371),f588(x149371,x149372)),x149372)), % 186.69/186.43 inference(rename_variables,[],[3410])). % 186.69/186.43 cnf(14940,plain, % 186.69/186.43 (~E(f862(f862(f144(x149401),x149402),x149403),x149403)), % 186.69/186.43 inference(rename_variables,[],[4683])). % 186.69/186.43 cnf(14952,plain, % 186.69/186.43 (~P1(f862(f862(f321(a924),x149521),f862(f292(a924),f2(a924))))), % 186.69/186.43 inference(rename_variables,[],[12134])). % 186.69/186.43 cnf(14955,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x149551,a921)),x149552),x149552))), % 186.69/186.43 inference(rename_variables,[],[3814])). % 186.69/186.43 cnf(14967,plain, % 186.69/186.43 (~P1(f862(f862(f321(x149671),x149672),f181(f932(x149671,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(14972,plain, % 186.69/186.43 (~P1(f862(f862(f321(f931(x149721,x149721)),x149722),f255(x149721,f181(f932(x149721,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11253])). % 186.69/186.43 cnf(14982,plain, % 186.69/186.43 (~P1(f862(f862(f321(x149821),x149822),f181(f932(x149821,a921))))), % 186.69/186.43 inference(rename_variables,[],[4716])). % 186.69/186.43 cnf(15017,plain, % 186.69/186.43 (E(f862(x150171,f862(f86(x150172,x150173,f234(f932(x150172,a921)),x150171),f862(x150171,x150174))),f862(x150171,x150174))), % 186.69/186.43 inference(rename_variables,[],[11397])). % 186.69/186.43 cnf(15023,plain, % 186.69/186.43 (~P1(f862(f862(f321(x150231),x150232),f862(f302(x150233,x150231,x150234),f181(f932(x150233,a921)))))), % 186.69/186.43 inference(rename_variables,[],[11498])). % 186.69/186.43 cnf(15050,plain, % 186.69/186.43 (P1(f862(f862(f278(a924),f862(a105,f2(a924))),x150501))), % 186.69/186.43 inference(rename_variables,[],[3674])). % 186.69/186.43 cnf(15068,plain, % 186.69/186.43 (P1(f862(f862(f227(f932(x150681,a921)),x150682),f862(f862(f301(x150681),x150683),x150682)))), % 186.69/186.43 inference(rename_variables,[],[3963])). % 186.69/186.43 cnf(15082,plain, % 186.69/186.43 ($false), % 186.69/186.43 inference(scs_inference,[],[3552,3955,3554,4252,4290,4098,3309,4731,4695,3528,3525,14005,14071,14383,14778,14853,3505,4706,4150,14481,3598,4701,3615,3968,4736,14525,4526,3622,4116,14212,14533,14686,4716,13861,13935,14017,14074,14378,14679,14758,14843,14967,14982,4159,13905,13926,14042,14160,14253,14416,14528,14670,3996,4676,14226,4683,13883,13966,14014,14185,14321,14435,14442,14522,14665,14716,14764,14802,14940,4686,13889,14177,4692,14050,14343,4703,3508,3602,4283,4525,3526,14103,3973,13912,3546,13999,14604,3830,3963,15068,3814,14411,14706,14908,14955,3965,3674,15050,3781,13941,14124,14148,14546,14775,14791,3783,13866,14065,14141,14585,4386,14056,3966,13991,3967,14094,3483,14127,14306,14554,14813,14826,3410,14292,14588,14638,14937,3361,3478,13892,3457,4737,14089,4738,14711,4740,14419,4705,13895,14458,14691,14871,4713,13923,4697,4727,14053,14350,14386,14609,14769,4726,4732,13994,14111,4729,14591,4730,14029,14238,14580,3726,11879,14329,14551,10587,13875,14135,13477,10884,10646,13071,12198,12238,13361,12843,11685,13656,13564,12599,10915,12244,13112,13566,10903,13125,11392,12845,12874,12881,11240,13578,11503,14313,11204,11069,14205,14324,14478,14601,14734,3884,12903,11196,14180,11235,11575,14082,11527,11397,13886,13938,14396,14486,14497,14662,14799,15017,13594,10563,13385,11237,10706,11671,11630,11013,3580,14796,3557,3468,11469,11557,11302,11028,13373,13376,11018,13654,13692,12026,12542,12531,11493,11544,12637,10548,13127,12132,12134,13971,14130,14151,14229,14261,14368,14429,14868,14952,12184,11026,11459,11253,13878,14022,14138,14157,14198,14256,14569,14633,14656,14721,14840,14972,12452,11256,14248,14357,14375,14697,11498,14045,15023,11608,11578,11008,14219,14426,14874,11113,12399,14285,12899,11510,12802,13682,13712,11533,14002,14468,11271,11540,14575,11412,10993,10996,3169,11938,4067,5167,2,6938,6939,6958,5957,7563,4885,7706,10172,4879,10033,6478,8819,4929,5755,5875,9445,9966,4799,8420,9056,6065,6256,6684,8964,5768,6119,8048,5390,8798,8444,9032,6381,9265,4834,7936,5417,5943,5965,6672,7538,6108,4887,6378,8707,10165,4778,8820,9307,7987,6127,6092,9233,5948,9264,4838,5874,6446,6957,7084,9839,9996,5828,5461,6114,5505,4878,5142,5590,10398,5781,7958,5304,6166,5351,5539,6391,7016,8722,8685,6985,8833,5077,7989,9128,7580,5662,6300,8463,6298,8037,6277,8686,8101,9281,5865,9985,6259,7564,8771,8073,5228,5785,8751,5475,6107,8814,10311,5748,6042,9812,8240,8274,8134,8547,8880,10001,6303,6572,6691,6965,9004,9466,10397,9055,9439,5428,5528,5665,5106,5693,6014,6202,7157,8818,5921,5986,6454,10179,6937,10399,7632,9,5795,6387,8164,8663,8743,8938,9015,9405,9642,9884,9941,8,6514,8963,6429,5237,5538,5926,8683,6372,8590,10477,5578,9942,9987,5403,7844,8687,8844,9158,7375,6273,5400,9026,5861,6327,6488,7910,8750,8354,5840,4958,8275,5210,8616,8960,6615,6106,5492,5932,5720,10176,5164,5588,8529,5506,5545,9883,10067,6278,5989,6575,6255,9116,8816,9572,5829,6986,9929,6567,7014,9457,10069,9821,6459,8588,5236,7922,10459,4836,6470,9496,6109,6235,9298,9512,10092,8861,9841,5766,6862,9067,9028,6685,8871,5716,9157,5488,6646,5794,6782,8752,9823,5493,5979,5876,5879,6462,9520,8167,6334,5749,6001,8661,10091,4883,4928,6582,6647,7711,5946,9538,5359,6987,9336,8980,5924,7584,5985,6157,5044,5435,5378,10215,8723,5432,7659,7774,8612,6275,5883,5963,7314,5166,8678,8741,8981,5938,5238,6068,6279,6616,5735,6739,8809,5936,5294,5537,7562,5525,7371,9682,7998,6328,6625,6441,8749,5076,5638,8257,6080,5887,5511,5591,5868,6105,6212,6564,8682,6513,5243,5374,6480,6238,6295,6329,6919,5523,10400,8653,4833,4964,6101,8631,6573,7392,5092,9876,7862,5558,8827,5410,6089,7120,7985,8900,6431,9727,5293,9877,5427,6195,6724,10009,7164,9144,9516,5654,5687,10160,8586,8772,5050,5216,5503,8490,9543,7404,7536,8782,6525,5797,5715,5930,6000,7097,7285,8862,5404,5519,5594,6153,6978,6983,7199,4832,8872,6989,8917,8256,4751,5392,5950,8841,5934,9846,4923,5402,9266,5360,7756,5426,9455,10190,5165,6333,6722,9169,9824,7465,8597,6129,6981,9974,5598,6425,5476,5487,5639,5734,6448,7400,8530,10189,6331,6571,7645,9537,6563,8201,9637,5485,5291,6371,6736,6783,7015,7228,8770,10177,6670,7668,5244,5491,5624,6518,7121,7553,9027,9766,5423,10170,7029,8748,6904,6936,9930,7607,7959,9156,9681,5580,5920,7755,9680,5352,6443,6304,10126,5928,8913,9822,5027,5524,6568,5409,7003,8684,9748,10210,7589,9791,7095,7708,9456,10073,6530,6515,6516,7642,6008,6294,8258,5143,9337,9544,9754,4930,6427,4863]), % 186.69/186.43 ['proof']). % 186.69/186.44 % SZS output end Proof % 186.69/186.44 % Total time :160.990000s %------------------------------------------------------------------------------