%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW305+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 : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 18:06:59 EDT 2024 % Result : Theorem 242.40s 242.46s % Output : CNFRefutation 242.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWW305+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 % 0.13/0.34 % Computer : n011.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jun 19 06:49:09 EDT 2024 % 0.13/0.34 % CPUTime : % 0.45/0.57 start to proof:theBenchmark % 241.93/242.29 %------------------------------------------- % 241.93/242.29 % File :CSE---1.7 % 241.93/242.29 % Problem :theBenchmark % 241.93/242.29 % Transform :cnf % 241.93/242.29 % Format :tptp:raw % 241.93/242.29 % Command :java -jar mcs_scs.jar %d %s % 241.93/242.29 % 241.93/242.29 % Result :Theorem 201.800000s % 241.93/242.29 % Output :CNFRefutation 201.800000s % 241.93/242.29 %------------------------------------------- % 241.93/242.30 %------------------------------------------------------------------------------ % 241.93/242.30 % File : SWW305+1 : TPTP v8.2.0. Released v5.2.0. % 241.93/242.30 % Domain : Software Verification % 241.93/242.30 % Problem : Hoare's Logic with Procedures 434877, 5000 axioms selected % 241.93/242.30 % Version : Especial. % 241.93/242.30 % English : % 241.93/242.30 % 241.93/242.30 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 241.93/242.30 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 241.93/242.30 % Source : [Bla11] % 241.93/242.30 % Names : hoare_434877.5000.p [Bla11] % 241.93/242.30 % 241.93/242.30 % Status : ContradictoryAxioms % 241.93/242.30 % Rating : 0.78 v8.2.0, 0.75 v8.1.0, 0.78 v7.5.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.87 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.97 v6.0.0, 0.96 v5.3.0, 1.00 v5.2.0 % 241.93/242.30 % Syntax : Number of formulae : 5225 (1686 unt; 0 def) % 241.93/242.30 % Number of atoms : 12687 (4435 equ) % 241.93/242.30 % Maximal formula atoms : 13 ( 2 avg) % 241.93/242.30 % Number of connectives : 8468 (1006 ~; 151 |; 715 &) % 241.93/242.30 % ( 896 <=>;5700 =>; 0 <=; 0 <~>) % 241.93/242.30 % Maximal formula depth : 22 ( 6 avg) % 241.93/242.30 % Maximal term depth : 19 ( 2 avg) % 241.93/242.30 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty) % 241.93/242.30 % Number of functors : 391 ( 391 usr; 54 con; 0-7 aty) % 241.93/242.30 % Number of variables : 16694 (16536 !; 158 ?) % 241.93/242.30 % SPC : FOF_CAX_RFO_SEQ % 241.93/242.30 % 241.93/242.30 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 241.93/242.30 % 2011-03-01 11:35:25 % 241.93/242.30 %------------------------------------------------------------------------------ % 241.93/242.30 %----Relevant facts (4985) % 241.93/242.30 fof(fact_ext,axiom, % 241.93/242.30 ! [V_g_2,V_f_2] : % 241.93/242.30 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 241.93/242.30 => V_f_2 = V_g_2 ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_empty,axiom, % 241.93/242.30 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 241.93/242.30 % 241.93/242.30 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 241.93/242.30 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 241.93/242.30 % 241.93/242.30 fof(fact_triple_Oinject,axiom, % 241.93/242.30 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 241.93/242.30 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2) % 241.93/242.30 <=> ( V_fun1_2 = V_fun1_H_2 % 241.93/242.30 & V_com_2 = V_com_H_2 % 241.93/242.30 & V_fun2_2 = V_fun2_H_2 ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_cut,axiom, % 241.93/242.30 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] : % 241.93/242.30 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 241.93/242.30 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2) % 241.93/242.30 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_hoare__derivs_Oinsert,axiom, % 241.93/242.30 ! [V_ts_2,V_t_2,V_Ga_2,T_b] : % 241.93/242.30 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 241.93/242.30 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) % 241.93/242.30 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_hoare__derivs_OBody,axiom, % 241.93/242.30 ! [V_Procs_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] : % 241.93/242.30 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Qa_2)),V_Procs_2)) % 241.93/242.30 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procs_2)) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_Body1,axiom, % 241.93/242.30 ! [V_pna_2,V_Procs_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] : % 241.93/242.30 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Qa_2)),V_Procs_2)) % 241.93/242.30 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pna_2),V_Procs_2)) % 241.93/242.30 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_Pa_2,V_pna_2)),hAPP(c_Com_Ocom_OBODY,V_pna_2)),hAPP(V_Qa_2,V_pna_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_image__constant__conv,axiom, % 241.93/242.30 ! [V_c_2,T_c,T_b,V_A_2] : % 241.93/242.30 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.93/242.30 => 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)) ) % 241.93/242.30 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.93/242.30 => 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))) ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_insert__is__Un,axiom, % 241.93/242.30 ! [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) ). % 241.93/242.30 % 241.93/242.30 fof(fact_sup1E,axiom, % 241.93/242.30 ! [V_x_2,V_B_2,V_A_2,T_b] : % 241.93/242.30 ( 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)) % 241.93/242.30 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 241.93/242.30 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_sup1CI,axiom, % 241.93/242.30 ! [T_b,V_A_2,V_x_2,V_B_2] : % 241.93/242.30 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 241.93/242.30 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 241.93/242.30 => 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)) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_sup__fun__def,axiom, % 241.93/242.30 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 241.93/242.30 ( class_Lattices_Olattice(T_b) % 241.93/242.30 => 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)) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_bot__fun__def,axiom, % 241.93/242.30 ! [V_x_2,T_c,T_b] : % 241.93/242.30 ( class_Orderings_Obot(T_b) % 241.93/242.30 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_triple_Orecs,axiom, % 241.93/242.30 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 241.93/242.30 % 241.93/242.30 fof(fact_triple_Osimps_I2_J,axiom, % 241.93/242.30 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ). % 241.93/242.30 % 241.93/242.30 fof(fact_image__Un,axiom, % 241.93/242.30 ! [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)) ). % 241.93/242.30 % 241.93/242.30 fof(fact_Un__insert__right,axiom, % 241.93/242.30 ! [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)) ). % 241.93/242.30 % 241.93/242.30 fof(fact_Un__insert__left,axiom, % 241.93/242.30 ! [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)) ). % 241.93/242.30 % 241.93/242.30 fof(fact_equalityCE,axiom, % 241.93/242.30 ! [V_c_2,T_b,V_B_2,V_A_2] : % 241.93/242.30 ( V_A_2 = V_B_2 % 241.93/242.30 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.93/242.30 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 241.93/242.30 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.93/242.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 241.93/242.30 % 241.93/242.30 fof(fact_emptyE,axiom, % 241.93/242.31 ! [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)))) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insertCI,axiom, % 241.93/242.31 ! [V_b_2,V_B_2,V_a_2,T_b] : % 241.93/242.31 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 241.93/242.31 => V_a_2 = V_b_2 ) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insertE,axiom, % 241.93/242.31 ! [V_A_2,V_b_2,V_a_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 241.93/242.31 => ( V_a_2 != V_b_2 % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_image__eqI,axiom, % 241.93/242.31 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 241.93/242.31 ( V_b_2 = hAPP(V_f_2,V_x_2) % 241.93/242.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_UnCI,axiom, % 241.93/242.31 ! [V_A_2,V_B_2,V_c_2,T_b] : % 241.93/242.31 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 241.93/242.31 => 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))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_UnE,axiom, % 241.93/242.31 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.93/242.31 ( 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))) % 241.93/242.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_mem__def,axiom, % 241.93/242.31 ! [V_A_2,V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_eq__mem,axiom, % 241.93/242.31 ! [V_y_2,V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 241.93/242.31 <=> V_x_2 = V_y_2 ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_pred__equals__eq,axiom, % 241.93/242.31 ! [V_S_2,V_R_2,T_b] : % 241.93/242.31 ( 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) % 241.93/242.31 <=> V_R_2 = V_S_2 ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_eqset__imp__iff,axiom, % 241.93/242.31 ! [V_x_2,T_b,V_B_2,V_A_2] : % 241.93/242.31 ( V_A_2 = V_B_2 % 241.93/242.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_eqelem__imp__iff,axiom, % 241.93/242.31 ! [V_A_2,T_b,V_y_2,V_x_2] : % 241.93/242.31 ( V_x_2 = V_y_2 % 241.93/242.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_eq__mem__trans,axiom, % 241.93/242.31 ! [V_A_2,T_b,V_b_2,V_a_2] : % 241.93/242.31 ( V_a_2 = V_b_2 % 241.93/242.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_equals0D,axiom, % 241.93/242.31 ! [V_a_2,T_b,V_A_2] : % 241.93/242.31 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.93/242.31 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_empty__iff,axiom, % 241.93/242.31 ! [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)))) ). % 241.93/242.31 % 241.93/242.31 fof(fact_ex__in__conv,axiom, % 241.93/242.31 ! [V_A_2,T_b] : % 241.93/242.31 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.93/242.31 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_all__not__in__conv,axiom, % 241.93/242.31 ! [V_A_2,T_b] : % 241.93/242.31 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.93/242.31 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__absorb,axiom, % 241.93/242.31 ! [V_A_2,V_a_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.93/242.31 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insertI2,axiom, % 241.93/242.31 ! [V_b_2,V_B_2,V_a_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__ident,axiom, % 241.93/242.31 ! [V_B_2,V_A_2,V_x_2,T_b] : % 241.93/242.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.93/242.31 => ( 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) % 241.93/242.31 <=> V_A_2 = V_B_2 ) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__iff,axiom, % 241.93/242.31 ! [V_A_2,V_b_2,V_a_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 241.93/242.31 <=> ( V_a_2 = V_b_2 % 241.93/242.31 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insertI1,axiom, % 241.93/242.31 ! [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))) ). % 241.93/242.31 % 241.93/242.31 fof(fact_rev__image__eqI,axiom, % 241.93/242.31 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 241.93/242.31 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_imageI,axiom, % 241.93/242.31 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 => 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))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_image__iff,axiom, % 241.93/242.31 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 241.93/242.31 <=> ? [B_x] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 241.93/242.31 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_UnI2,axiom, % 241.93/242.31 ! [V_A_2,V_B_2,V_c_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 241.93/242.31 => 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))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_UnI1,axiom, % 241.93/242.31 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.93/242.31 => 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))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_Un__iff,axiom, % 241.93/242.31 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.93/242.31 ( 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))) % 241.93/242.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.93/242.31 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_bot__empty__eq,axiom, % 241.93/242.31 ! [V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 241.93/242.31 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup__Un__eq,axiom, % 241.93/242.31 ! [V_x_2,V_S_2,V_R_2,T_b] : % 241.93/242.31 ( 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)) % 241.93/242.31 <=> 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))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_singletonE,axiom, % 241.93/242.31 ! [V_a_2,V_b_2,T_b] : % 241.93/242.31 ( 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))))) % 241.93/242.31 => V_b_2 = V_a_2 ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_singleton__iff,axiom, % 241.93/242.31 ! [V_a_2,V_b_2,T_b] : % 241.93/242.31 ( 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))))) % 241.93/242.31 <=> V_b_2 = V_a_2 ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__image,axiom, % 241.93/242.31 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_image__constant,axiom, % 241.93/242.31 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.93/242.31 => 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))) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__code,axiom, % 241.93/242.31 ! [V_x_2,V_A_2,V_y_2,T_b] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 241.93/242.31 <=> ( V_y_2 = V_x_2 % 241.93/242.31 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__commute,axiom, % 241.93/242.31 ! [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)) ). % 241.93/242.31 % 241.93/242.31 fof(fact_insert__absorb2,axiom, % 241.93/242.31 ! [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) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup__assoc,axiom, % 241.93/242.31 ! [V_z,V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_inf__sup__aci_I6_J,axiom, % 241.93/242.31 ! [V_z,V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Olattice(T_a) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup_Oassoc,axiom, % 241.93/242.31 ! [V_c,V_b,V_a,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup__left__commute,axiom, % 241.93/242.31 ! [V_z,V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_inf__sup__aci_I7_J,axiom, % 241.93/242.31 ! [V_z,V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Olattice(T_a) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup_Oleft__commute,axiom, % 241.93/242.31 ! [V_c,V_a,V_b,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup__left__idem,axiom, % 241.93/242.31 ! [V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_inf__sup__aci_I8_J,axiom, % 241.93/242.31 ! [V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Olattice(T_a) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup_Oleft__idem,axiom, % 241.93/242.31 ! [V_b,V_a,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup__commute,axiom, % 241.93/242.31 ! [V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_inf__sup__aci_I5_J,axiom, % 241.93/242.31 ! [V_y,V_x,T_a] : % 241.93/242.31 ( class_Lattices_Olattice(T_a) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup_Ocommute,axiom, % 241.93/242.31 ! [V_b,V_a,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => 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) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup__idem,axiom, % 241.93/242.31 ! [V_x,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup_Oidem,axiom, % 241.93/242.31 ! [V_a,T_a] : % 241.93/242.31 ( class_Lattices_Osemilattice__sup(T_a) % 241.93/242.31 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup1I2,axiom, % 241.93/242.31 ! [V_A_2,T_b,V_x_2,V_B_2] : % 241.93/242.31 ( hBOOL(hAPP(V_B_2,V_x_2)) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_sup1I1,axiom, % 241.93/242.31 ! [V_B_2,T_b,V_x_2,V_A_2] : % 241.93/242.31 ( hBOOL(hAPP(V_A_2,V_x_2)) % 241.93/242.31 => 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)) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_ball__Un,axiom, % 241.93/242.31 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 241.93/242.31 ( ! [B_x] : % 241.93/242.31 ( 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))) % 241.93/242.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 241.93/242.31 <=> ( ! [B_x] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.93/242.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 241.93/242.31 & ! [B_x] : % 241.93/242.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 241.93/242.31 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 241.93/242.31 % 241.93/242.31 fof(fact_bex__Un,axiom, % 241.93/242.31 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 241.93/242.31 ( ? [B_x] : % 241.93/242.32 ( 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))) % 241.93/242.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 241.93/242.32 <=> ( ? [B_x] : % 241.93/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.93/242.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 241.93/242.32 | ? [B_x] : % 241.93/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 241.93/242.32 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_Un__assoc,axiom, % 241.93/242.32 ! [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)) ). % 241.93/242.32 % 241.93/242.32 fof(fact_Un__left__commute,axiom, % 241.93/242.32 ! [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)) ). % 241.93/242.32 % 241.93/242.32 fof(fact_Un__left__absorb,axiom, % 241.93/242.32 ! [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) ). % 241.93/242.32 % 241.93/242.32 fof(fact_Un__commute,axiom, % 241.93/242.32 ! [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) ). % 241.93/242.32 % 241.93/242.32 fof(fact_Un__absorb,axiom, % 241.93/242.32 ! [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 ). % 241.93/242.32 % 241.93/242.32 fof(fact_image__image,axiom, % 241.93/242.32 ! [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) ). % 241.93/242.32 % 241.93/242.32 fof(fact_bot__apply,axiom, % 241.93/242.32 ! [V_x_2,T_c,T_b] : % 241.93/242.32 ( class_Orderings_Obot(T_b) % 241.93/242.32 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_sup__eq__bot__iff,axiom, % 241.93/242.32 ! [V_y_2,V_x_2,T_b] : % 241.93/242.32 ( class_Lattices_Obounded__lattice__bot(T_b) % 241.93/242.32 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 241.93/242.32 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 241.93/242.32 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_sup__bot__right,axiom, % 241.93/242.32 ! [V_x,T_a] : % 241.93/242.32 ( class_Lattices_Obounded__lattice__bot(T_a) % 241.93/242.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_sup__bot__left,axiom, % 241.93/242.32 ! [V_x,T_a] : % 241.93/242.32 ( class_Lattices_Obounded__lattice__bot(T_a) % 241.93/242.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_singleton__inject,axiom, % 241.93/242.32 ! [V_b_2,V_a_2,T_b] : % 241.93/242.32 ( 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))) % 241.93/242.32 => V_a_2 = V_b_2 ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_doubleton__eq__iff,axiom, % 241.93/242.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 241.93/242.32 ( 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)))) % 241.93/242.32 <=> ( ( V_a_2 = V_c_2 % 241.93/242.32 & V_b_2 = V_d_2 ) % 241.93/242.32 | ( V_a_2 = V_d_2 % 241.93/242.32 & V_b_2 = V_c_2 ) ) ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_insert__not__empty,axiom, % 241.93/242.32 ! [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)) ). % 241.93/242.32 % 241.93/242.32 fof(fact_empty__not__insert,axiom, % 241.93/242.32 ! [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) ). % 241.93/242.32 % 241.93/242.32 fof(fact_image__is__empty,axiom, % 241.93/242.32 ! [V_A_2,V_f_2,T_b,T_c] : % 241.93/242.32 ( 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)) % 241.93/242.32 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_image__empty,axiom, % 241.93/242.32 ! [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)) ). % 241.93/242.32 % 241.93/242.32 fof(fact_empty__is__image,axiom, % 241.93/242.32 ! [V_A_2,V_f_2,T_c,T_b] : % 241.93/242.32 ( 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) % 241.93/242.32 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 241.93/242.32 % 241.93/242.32 fof(fact_Un__empty,axiom, % 241.93/242.32 ! [V_B_2,V_A_2,T_b] : % 241.93/242.32 ( 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)) % 241.93/242.32 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.32 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Un__empty__right,axiom, % 241.99/242.32 ! [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 ). % 241.99/242.32 % 241.99/242.32 fof(fact_Un__empty__left,axiom, % 241.99/242.32 ! [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 ). % 241.99/242.32 % 241.99/242.32 fof(fact_image__insert,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_sup__apply,axiom, % 241.99/242.32 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 241.99/242.32 ( class_Lattices_Olattice(T_b) % 241.99/242.32 => 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)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_the__elem__eq,axiom, % 241.99/242.32 ! [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 ). % 241.99/242.32 % 241.99/242.32 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 241.99/242.32 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 241.99/242.32 % 241.99/242.32 fof(fact_hoare__derivs_OSkip,axiom, % 241.99/242.32 ! [V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ). % 241.99/242.32 % 241.99/242.32 fof(fact_conseq1,axiom, % 241.99/242.32 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_H_2,V_Ga_2,T_b] : % 241.99/242.32 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 241.99/242.32 => ( ! [B_Z,B_s] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 241.99/242.32 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 241.99/242.32 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_conseq2,axiom, % 241.99/242.32 ! [V_Qa_2,V_Q_H_2,V_c_2,V_Pa_2,V_Ga_2,T_b] : % 241.99/242.32 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 241.99/242.32 => ( ! [B_Z,B_s] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 241.99/242.32 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) ) % 241.99/242.32 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Comp,axiom, % 241.99/242.32 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] : % 241.99/242.32 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 241.99/242.32 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Qa_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 241.99/242.32 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_image__ident,axiom, % 241.99/242.32 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I6_J,axiom, % 241.99/242.32 ! [V_pname_H_2,V_pname_2] : % 241.99/242.32 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2) % 241.99/242.32 <=> V_pname_2 = V_pname_H_2 ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_imageE,axiom, % 241.99/242.32 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 241.99/242.32 => ~ ! [B_x] : % 241.99/242.32 ( V_b_2 = hAPP(V_f_2,B_x) % 241.99/242.32 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Sup__fin_Oidem,axiom, % 241.99/242.32 ! [V_x,T_a] : % 241.99/242.32 ( class_Lattices_Olattice(T_a) % 241.99/242.32 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc_OBody,axiom, % 241.99/242.32 ! [V_s1,V_s0,V_pn] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1)) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc__elim__cases_I6_J,axiom, % 241.99/242.32 ! [V_s1,V_s,V_P] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1)) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc_OSemi,axiom, % 241.99/242.32 ! [V_s2,V_c1,V_s1,V_s0,V_c0] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1)) % 241.99/242.32 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2)) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc__elim__cases_I1_J,axiom, % 241.99/242.32 ! [V_t,V_s] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t)) % 241.99/242.32 => V_t = V_s ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc_OSkip,axiom, % 241.99/242.32 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com__det,axiom, % 241.99/242.32 ! [V_u,V_t,V_s,V_c] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) % 241.99/242.32 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u)) % 241.99/242.32 => V_u = V_t ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc_Oequations_I4_J,axiom, % 241.99/242.32 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2)) % 241.99/242.32 <=> ? [B_s1] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1)) % 241.99/242.32 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc_Oequations_I1_J,axiom, % 241.99/242.32 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I3_J,axiom, % 241.99/242.32 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 241.99/242.32 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 241.99/242.32 <=> ( V_com1_2 = V_com1_H_2 % 241.99/242.32 & V_com2_2 = V_com2_H_2 ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I13_J,axiom, % 241.99/242.32 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I12_J,axiom, % 241.99/242.32 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I49_J,axiom, % 241.99/242.32 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I48_J,axiom, % 241.99/242.32 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I18_J,axiom, % 241.99/242.32 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ). % 241.99/242.32 % 241.99/242.32 fof(fact_com_Osimps_I19_J,axiom, % 241.99/242.32 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc_Oequations_I9_J,axiom, % 241.99/242.32 ! [V_a3_2,V_a2_2,V_a1_2] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2)) % 241.99/242.32 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_MGT__def,axiom, % 241.99/242.32 ! [V_c_2] : c_Hoare__Mirabelle_OMGT(V_c_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_c_2),c_Natural_Oevalc(V_c_2)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_the__elem__def,axiom, % 241.99/242.32 ! [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))))) ). % 241.99/242.32 % 241.99/242.32 fof(fact_override__on__def,axiom, % 241.99/242.32 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 241.99/242.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.32 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 241.99/242.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.32 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evalc__elim__cases_I4_J,axiom, % 241.99/242.32 ! [V_t,V_s,V_c2,V_c1] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t)) % 241.99/242.32 => ~ ! [B_s1] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1)) % 241.99/242.32 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_override__on__emptyset,axiom, % 241.99/242.32 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ). % 241.99/242.32 % 241.99/242.32 fof(fact_Body__triple__valid__Suc,axiom, % 241.99/242.32 ! [V_Qa_2,V_pna_2,V_Pa_2,V_n_2,T_b] : % 241.99/242.32 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pna_2))),V_Qa_2)) % 241.99/242.32 <=> c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pna_2)),V_Qa_2)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_override__on__apply__in,axiom, % 241.99/242.32 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.32 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_override__on__apply__notin,axiom, % 241.99/242.32 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 241.99/242.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.32 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__insert,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__singleton__eq,axiom, % 241.99/242.32 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 241.99/242.32 ( 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)))))) % 241.99/242.32 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__insert__absorb,axiom, % 241.99/242.32 ! [V_A_2,V_x_2,T_b] : % 241.99/242.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.32 => 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 ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_DiffI,axiom, % 241.99/242.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 241.99/242.32 => 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))) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_DiffE,axiom, % 241.99/242.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.32 ( 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))) % 241.99/242.32 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimageI,axiom, % 241.99/242.32 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 241.99/242.32 ( hAPP(V_f_2,V_a_2) = V_b_2 % 241.99/242.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_triple__valid__Suc,axiom, % 241.99/242.32 ! [V_t,V_n,T_a] : % 241.99/242.32 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t) % 241.99/242.32 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_minus__apply,axiom, % 241.99/242.32 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 241.99/242.32 ( class_Groups_Ominus(T_b) % 241.99/242.32 => 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)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__code,axiom, % 241.99/242.32 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 241.99/242.32 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__idemp,axiom, % 241.99/242.32 ! [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) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__Diff,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_fun__diff__def,axiom, % 241.99/242.32 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 241.99/242.32 ( class_Groups_Ominus(T_b) % 241.99/242.32 => 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)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__ident,axiom, % 241.99/242.32 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__iff,axiom, % 241.99/242.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.32 ( 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))) % 241.99/242.32 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.32 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_DiffD1,axiom, % 241.99/242.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.32 ( 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))) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_DiffD2,axiom, % 241.99/242.32 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.32 ( 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))) % 241.99/242.32 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__eq,axiom, % 241.99/242.32 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 241.99/242.32 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimageD,axiom, % 241.99/242.32 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimageI2,axiom, % 241.99/242.32 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 241.99/242.32 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__cancel,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__empty,axiom, % 241.99/242.32 ! [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 ). % 241.99/242.32 % 241.99/242.32 fof(fact_empty__Diff,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__empty,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Un__Diff,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Un__Diff__cancel2,axiom, % 241.99/242.32 ! [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) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Un__Diff__cancel,axiom, % 241.99/242.32 ! [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) ). % 241.99/242.32 % 241.99/242.32 fof(fact_vimage__Un,axiom, % 241.99/242.32 ! [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)) ). % 241.99/242.32 % 241.99/242.32 fof(fact_insert__Diff__if,axiom, % 241.99/242.32 ! [V_A_2,V_B_2,V_x_2,T_b] : % 241.99/242.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.99/242.32 => 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) ) % 241.99/242.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.99/242.32 => 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)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_insert__Diff1,axiom, % 241.99/242.32 ! [V_A_2,V_B_2,V_x_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.99/242.32 => 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) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_insert__Diff__single,axiom, % 241.99/242.32 ! [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) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__insert2,axiom, % 241.99/242.32 ! [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) ). % 241.99/242.32 % 241.99/242.32 fof(fact_Diff__insert,axiom, % 241.99/242.32 ! [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)))) ). % 241.99/242.32 % 241.99/242.32 fof(fact_insert__Diff,axiom, % 241.99/242.32 ! [V_A_2,V_a_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.32 => 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 ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_fun__upd__image,axiom, % 241.99/242.32 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 241.99/242.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.32 => 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)))))) ) % 241.99/242.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.32 => 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) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evaln_OBody,axiom, % 241.99/242.32 ! [V_s1,V_n,V_s0,V_pn] : % 241.99/242.32 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) % 241.99/242.32 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_the__sym__eq__trivial,axiom, % 241.99/242.32 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 241.99/242.32 % 241.99/242.32 fof(fact_the__eq__trivial,axiom, % 241.99/242.32 ! [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 ). % 241.99/242.32 % 241.99/242.32 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 241.99/242.32 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 241.99/242.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.32 => ( 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) % 241.99/242.32 => 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)) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_evaln_Oequations_I9_J,axiom, % 241.99/242.32 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : % 241.99/242.32 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2) % 241.99/242.32 <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2)),V_a2_2,V_a3_2,V_a4_2) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_inj__on__insert,axiom, % 241.99/242.32 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 241.99/242.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 241.99/242.32 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.32 & ~ 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))))))) ) ) ). % 241.99/242.32 % 241.99/242.32 fof(fact_the__inv__into__def,axiom, % 241.99/242.32 ! [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))) ). % 241.99/242.32 % 241.99/242.33 fof(fact_diff__single__insert,axiom, % 241.99/242.33 ! [V_B_2,V_x_2,V_A_2,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__insert__iff,axiom, % 241.99/242.33 ! [V_B_2,V_x_2,V_A_2,T_b] : % 241.99/242.33 ( 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))) % 241.99/242.33 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => 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)) ) % 241.99/242.33 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__refl,axiom, % 241.99/242.33 ! [V_x,T_a] : % 241.99/242.33 ( class_Orderings_Opreorder(T_a) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_equalityI,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.33 => V_A_2 = V_B_2 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__triv,axiom, % 241.99/242.33 ! [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 ). % 241.99/242.33 % 241.99/242.33 fof(fact_subsetD,axiom, % 241.99/242.33 ! [V_c_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_empty__subsetI,axiom, % 241.99/242.33 ! [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)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__empty,axiom, % 241.99/242.33 ! [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))) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln_OSemi,axiom, % 241.99/242.33 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] : % 241.99/242.33 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1) % 241.99/242.33 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2) % 241.99/242.33 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln__elim__cases_I1_J,axiom, % 241.99/242.33 ! [V_t,V_n,V_s] : % 241.99/242.33 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) % 241.99/242.33 => V_t = V_s ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln_OSkip,axiom, % 241.99/242.33 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__refl,axiom, % 241.99/242.33 ! [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)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__fun__def,axiom, % 241.99/242.33 ! [V_g_2,V_f_2,T_b,T_c] : % 241.99/242.33 ( class_Orderings_Oord(T_c) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 241.99/242.33 <=> ! [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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_linorder__linear,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Olinorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_set__eq__subset,axiom, % 241.99/242.33 ! [T_b,V_B_2,V_A_2] : % 241.99/242.33 ( V_A_2 = V_B_2 % 241.99/242.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__eq__iff,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,T_b] : % 241.99/242.33 ( class_Orderings_Oorder(T_b) % 241.99/242.33 => ( V_x_2 = V_y_2 % 241.99/242.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_rev__predicate1D,axiom, % 241.99/242.33 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] : % 241.99/242.33 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 241.99/242.33 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_equalityD1,axiom, % 241.99/242.33 ! [T_b,V_B_2,V_A_2] : % 241.99/242.33 ( V_A_2 = V_B_2 % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_equalityD2,axiom, % 241.99/242.33 ! [T_b,V_B_2,V_A_2] : % 241.99/242.33 ( V_A_2 = V_B_2 % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__eq__refl,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Opreorder(T_a) % 241.99/242.33 => ( V_x = V_y % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__funD,axiom, % 241.99/242.33 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 241.99/242.33 ( class_Orderings_Oord(T_c) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__antisym__conv,axiom, % 241.99/242.33 ! [V_x_2,V_y_2,T_b] : % 241.99/242.33 ( class_Orderings_Oorder(T_b) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.33 <=> V_x_2 = V_y_2 ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_predicate1D,axiom, % 241.99/242.33 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2)) % 241.99/242.33 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 241.99/242.33 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_ord__eq__le__trans,axiom, % 241.99/242.33 ! [V_c,V_b,V_a,T_a] : % 241.99/242.33 ( class_Orderings_Oord(T_a) % 241.99/242.33 => ( V_a = V_b % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I3_J,axiom, % 241.99/242.33 ! [V_c,V_b,V_a,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( V_a = V_b % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__trans,axiom, % 241.99/242.33 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_ord__le__eq__trans,axiom, % 241.99/242.33 ! [V_c,V_b,V_a,T_a] : % 241.99/242.33 ( class_Orderings_Oord(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.33 => ( V_b = V_c % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I4_J,axiom, % 241.99/242.33 ! [V_c,V_a,V_b,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 241.99/242.33 => ( V_b = V_c % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__antisym,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.33 => V_x = V_y ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__trans,axiom, % 241.99/242.33 ! [V_z,V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Opreorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I5_J,axiom, % 241.99/242.33 ! [V_x,V_y,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.33 => V_x = V_y ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I6_J,axiom, % 241.99/242.33 ! [V_z,V_x,V_y,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_equalityE,axiom, % 241.99/242.33 ! [T_b,V_B_2,V_A_2] : % 241.99/242.33 ( V_A_2 = V_B_2 % 241.99/242.33 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__funE,axiom, % 241.99/242.33 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 241.99/242.33 ( class_Orderings_Oord(T_c) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_linorder__le__cases,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Olinorder(T_a) % 241.99/242.33 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__def,axiom, % 241.99/242.33 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 <=> ! [B_x] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.99/242.33 => ! [B_xa] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 241.99/242.33 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 241.99/242.33 => B_x = B_xa ) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__idem__iff,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 241.99/242.33 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__upd,axiom, % 241.99/242.33 ! [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) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__same,axiom, % 241.99/242.33 ! [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 ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__apply,axiom, % 241.99/242.33 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 241.99/242.33 ( ( V_z_2 = V_x_2 % 241.99/242.33 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 241.99/242.33 & ( V_z_2 != V_x_2 % 241.99/242.33 => 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) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__twist,axiom, % 241.99/242.33 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 241.99/242.33 ( V_a_2 != V_c_2 % 241.99/242.33 => 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) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__other,axiom, % 241.99/242.33 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 241.99/242.33 ( V_z_2 != V_x_2 % 241.99/242.33 => 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) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__inj__on,axiom, % 241.99/242.33 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__idem,axiom, % 241.99/242.33 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 241.99/242.33 ( hAPP(V_f_2,V_x_2) = V_y_2 % 241.99/242.33 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__id2,axiom, % 241.99/242.33 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 241.99/242.33 % 241.99/242.33 fof(fact_the__inv__into__f__f,axiom, % 241.99/242.33 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => 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 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_the__inv__into__f__eq,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__the__inv__into,axiom, % 241.99/242.33 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => 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)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_the__inv__into__onto,axiom, % 241.99/242.33 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => 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 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_the__inv__into__into,axiom, % 241.99/242.33 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => 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)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fun__upd__def,axiom, % 241.99/242.33 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 241.99/242.33 ( ( V_x_2 = V_a_2 % 241.99/242.33 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 241.99/242.33 & ( V_x_2 != V_a_2 % 241.99/242.33 => 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) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__image__set__diff,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.33 => 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)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__onD,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 241.99/242.33 => V_x_2 = V_y_2 ) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__iff,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 241.99/242.33 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 241.99/242.33 <=> V_x_2 = V_y_2 ) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__contraD,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( V_x_2 != V_y_2 % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 241.99/242.33 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__fun__updI,axiom, % 241.99/242.33 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 241.99/242.33 => 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) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__diff,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => 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)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 241.99/242.33 ! [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) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 241.99/242.33 ! [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) ). % 241.99/242.33 % 241.99/242.33 fof(fact_f__the__inv__into__f,axiom, % 241.99/242.33 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 241.99/242.33 => 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 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln__Suc,axiom, % 241.99/242.33 ! [V_s_H,V_n,V_s,V_c] : % 241.99/242.33 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) % 241.99/242.33 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_set__mp,axiom, % 241.99/242.33 ! [V_x_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_set__rev__mp,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_x_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_in__mono,axiom, % 241.99/242.33 ! [V_x_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_bot__least,axiom, % 241.99/242.33 ! [V_x,T_a] : % 241.99/242.33 ( class_Orderings_Obot(T_a) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__empty,axiom, % 241.99/242.33 ! [V_A_2,T_b] : % 241.99/242.33 ( 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)))) % 241.99/242.33 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inf__sup__ord_I3_J,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Lattices_Olattice(T_a) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_sup__ge1,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inf__sup__ord_I4_J,axiom, % 241.99/242.33 ! [V_x,V_y,T_a] : % 241.99/242.33 ( class_Lattices_Olattice(T_a) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_sup__ge2,axiom, % 241.99/242.33 ! [V_x,V_y,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__iff__sup,axiom, % 241.99/242.33 ! [V_y_2,V_x_2,T_b] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_b) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.33 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__sup__iff,axiom, % 241.99/242.33 ! [V_z_2,V_y_2,V_x_2,T_b] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_b) % 241.99/242.33 => ( 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)) % 241.99/242.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 241.99/242.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__supI1,axiom, % 241.99/242.33 ! [V_b,V_a,V_x,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__supI2,axiom, % 241.99/242.33 ! [V_a,V_b,V_x,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_sup__absorb2,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_sup__absorb1,axiom, % 241.99/242.33 ! [V_x,V_y,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__supI,axiom, % 241.99/242.33 ! [V_b,V_x,V_a,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 241.99/242.33 => 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)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_sup__least,axiom, % 241.99/242.33 ! [V_z,V_x,V_y,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 241.99/242.33 => 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)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_sup__mono,axiom, % 241.99/242.33 ! [V_d,V_b,V_c,V_a,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 241.99/242.33 => 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))) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_le__supE,axiom, % 241.99/242.33 ! [V_x,V_b,V_a,T_a] : % 241.99/242.33 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.33 => ( 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)) % 241.99/242.33 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 241.99/242.33 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__insertI,axiom, % 241.99/242.33 ! [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))) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__insertI2,axiom, % 241.99/242.33 ! [V_b_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_insert__mono,axiom, % 241.99/242.33 ! [V_a_2,V_D_2,V_C_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__image__iff,axiom, % 241.99/242.33 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 241.99/242.33 ( 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))) % 241.99/242.33 <=> ? [B_AA] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 241.99/242.33 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_image__mono,axiom, % 241.99/242.33 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => 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)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Un__upper1,axiom, % 241.99/242.33 ! [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))) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Un__upper2,axiom, % 241.99/242.33 ! [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))) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__Un__eq,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Un__absorb1,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Un__absorb2,axiom, % 241.99/242.33 ! [V_A_2,V_B_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.33 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Un__least,axiom, % 241.99/242.33 ! [V_B_2,V_C_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.33 => 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)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Un__mono,axiom, % 241.99/242.33 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Diff__subset,axiom, % 241.99/242.33 ! [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)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Diff__mono,axiom, % 241.99/242.33 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_double__diff,axiom, % 241.99/242.33 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.33 => 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 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln__evalc,axiom, % 241.99/242.33 ! [V_t,V_n,V_s,V_c] : % 241.99/242.33 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_eval__eq,axiom, % 241.99/242.33 ! [V_t_2,V_s_2,V_c_2] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_t_2)) % 241.99/242.33 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_vimage__mono,axiom, % 241.99/242.33 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln_Oequations_I4_J,axiom, % 241.99/242.33 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] : % 241.99/242.33 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2) % 241.99/242.33 <=> ? [B_s1] : % 241.99/242.33 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1) % 241.99/242.33 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln_Oequations_I1_J,axiom, % 241.99/242.33 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ). % 241.99/242.33 % 241.99/242.33 fof(fact_asm,axiom, % 241.99/242.33 ! [V_Ga_2,V_ts_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2)) % 241.99/242.33 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_weaken,axiom, % 241.99/242.33 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] : % 241.99/242.33 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2)) % 241.99/242.33 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_pred__subset__eq,axiom, % 241.99/242.33 ! [V_S_2,V_R_2,T_b] : % 241.99/242.33 ( 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))) % 241.99/242.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__Un__image__eq__iff,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 => ( 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) % 241.99/242.33 <=> V_A_2 = V_B_2 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__insert,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_x_2,T_b] : % 241.99/242.33 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => ( 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))) % 241.99/242.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_insert__subset,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_x_2,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.99/242.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_subset__singletonD,axiom, % 241.99/242.33 ! [V_x_2,V_A_2,T_b] : % 241.99/242.33 ( 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))))) % 241.99/242.33 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.33 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_image__diff__subset,axiom, % 241.99/242.33 ! [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)))) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Diff__partition,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => 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 ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Diff__subset__conv,axiom, % 241.99/242.33 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 <=> 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))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_image__vimage__subset,axiom, % 241.99/242.33 ! [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)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_triple__valid__def2,axiom, % 241.99/242.33 ! [V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b] : % 241.99/242.33 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)) % 241.99/242.33 <=> ! [B_Z,B_s] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 241.99/242.33 => ! [B_s_H] : % 241.99/242.33 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H) % 241.99/242.33 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__iff__surj,axiom, % 241.99/242.33 ! [V_A_H_2,T_c,T_b,V_A_2] : % 241.99/242.33 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.33 => ( ? [B_f] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 241.99/242.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 241.99/242.33 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_evaln__elim__cases_I6_J,axiom, % 241.99/242.33 ! [V_s1,V_n,V_s,V_P] : % 241.99/242.33 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1) % 241.99/242.33 => ~ ! [B_n] : % 241.99/242.33 ( V_n = hAPP(c_Nat_OSuc,B_n) % 241.99/242.33 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_flat__lub__def,axiom, % 241.99/242.33 ! [V_b_2,V_A_2,T_b] : % 241.99/242.33 ( ( 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))))) % 241.99/242.33 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 241.99/242.33 & ( ~ 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))))) % 241.99/242.33 => 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)))))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__vimage__singleton,axiom, % 241.99/242.33 ! [V_a_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.33 => 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),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))))) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 241.99/242.33 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.33 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 241.99/242.33 | ? [B_x,B_y] : % 241.99/242.33 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 241.99/242.33 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 241.99/242.33 & 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) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_diff__eq__diff__less__eq,axiom, % 241.99/242.33 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 241.99/242.33 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.33 => ( 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) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 241.99/242.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inj__on__Un,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.33 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 241.99/242.33 & 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)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_psubset__insert__iff,axiom, % 241.99/242.33 ! [V_B_2,V_x_2,V_A_2,T_b] : % 241.99/242.33 ( 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))) % 241.99/242.33 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 241.99/242.33 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 241.99/242.33 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => 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)) ) % 241.99/242.33 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_vimage__subsetI,axiom, % 241.99/242.33 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 241.99/242.33 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.33 => ( 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))) % 241.99/242.33 => 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)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Body__triple__valid__0,axiom, % 241.99/242.33 ! [V_Qa_2,V_pna_2,V_Pa_2,T_b] : c_Hoare__Mirabelle_Otriple__valid(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pna_2)),V_Qa_2)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_the__inv__into__comp,axiom, % 241.99/242.33 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 241.99/242.33 => ( 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)))) % 241.99/242.33 => 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) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_top1I,axiom, % 241.99/242.33 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inf1E,axiom, % 241.99/242.33 ! [V_x_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 241.99/242.33 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inf1I,axiom, % 241.99/242.33 ! [T_b,V_B_2,V_x_2,V_A_2] : % 241.99/242.33 ( hBOOL(hAPP(V_A_2,V_x_2)) % 241.99/242.33 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 241.99/242.33 => 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)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_UNIV__I,axiom, % 241.99/242.33 ! [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)))) ). % 241.99/242.33 % 241.99/242.33 fof(fact_IntI,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 241.99/242.33 => 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_IntE,axiom, % 241.99/242.33 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.33 ( 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))) % 241.99/242.33 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.33 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_less__iff__diff__less__0,axiom, % 241.99/242.33 ! [V_b_2,V_a_2,T_b] : % 241.99/242.33 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 241.99/242.33 <=> 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))) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_o__eq__elim,axiom, % 241.99/242.33 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 241.99/242.33 ( 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) % 241.99/242.33 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_o__eq__dest,axiom, % 241.99/242.33 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 241.99/242.33 ( 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) % 241.99/242.33 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_o__apply,axiom, % 241.99/242.33 ! [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)) ). % 241.99/242.33 % 241.99/242.33 fof(fact_o__assoc,axiom, % 241.99/242.33 ! [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) ). % 241.99/242.33 % 241.99/242.33 fof(fact_Inf__fin_Oidem,axiom, % 241.99/242.33 ! [V_x,T_a] : % 241.99/242.33 ( class_Lattices_Olattice(T_a) % 241.99/242.33 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_zero__reorient,axiom, % 241.99/242.33 ! [V_x_2,T_b] : % 241.99/242.33 ( class_Groups_Ozero(T_b) % 241.99/242.33 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 241.99/242.33 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_linorder__cases,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Olinorder(T_a) % 241.99/242.33 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.33 => ( V_x != V_y % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inf1D2,axiom, % 241.99/242.33 ! [V_x_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_inf1D1,axiom, % 241.99/242.33 ! [V_x_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( 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)) % 241.99/242.33 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__less__asym,axiom, % 241.99/242.33 ! [V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Opreorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.33 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I10_J,axiom, % 241.99/242.33 ! [V_z,V_x,V_y,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_order__less__trans,axiom, % 241.99/242.33 ! [V_z,V_y,V_x,T_a] : % 241.99/242.33 ( class_Orderings_Opreorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I2_J,axiom, % 241.99/242.33 ! [V_c,V_a,V_b,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 241.99/242.33 => ( V_b = V_c % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_ord__less__eq__trans,axiom, % 241.99/242.33 ! [V_c,V_b,V_a,T_a] : % 241.99/242.33 ( class_Orderings_Oord(T_a) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 241.99/242.33 => ( V_b = V_c % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_psubset__trans,axiom, % 241.99/242.33 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_xt1_I1_J,axiom, % 241.99/242.33 ! [V_c,V_b,V_a,T_a] : % 241.99/242.33 ( class_Orderings_Oorder(T_a) % 241.99/242.33 => ( V_a = V_b % 241.99/242.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 241.99/242.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 241.99/242.33 % 241.99/242.33 fof(fact_ord__eq__less__trans,axiom, % 241.99/242.33 ! [V_c,V_b,V_a,T_a] : % 241.99/242.33 ( class_Orderings_Oord(T_a) % 241.99/242.33 => ( V_a = V_b % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_xt1_I9_J,axiom, % 241.99/242.34 ! [V_a,V_b,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__asym_H,axiom, % 241.99/242.34 ! [V_b,V_a,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__infI2,axiom, % 241.99/242.34 ! [V_a,V_x,V_b,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__infI1,axiom, % 241.99/242.34 ! [V_b,V_x,V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__imp__not__eq2,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => V_y != V_x ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__imp__not__eq,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => V_x != V_y ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__imp__not__less,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__not__sym,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__imp__neq,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => V_x != V_y ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__neqE,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Olinorder(T_a) % 241.99/242.34 => ( V_x != V_y % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__antisym__conv3,axiom, % 241.99/242.34 ! [V_x_2,V_y_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> V_x_2 = V_y_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__apply,axiom, % 241.99/242.34 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( class_Lattices_Olattice(T_b) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__assoc,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__aci_I2_J,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf_Oassoc,axiom, % 241.99/242.34 ! [V_c,V_b,V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__assoc,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__eq__top__iff,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__top(T_b) % 241.99/242.34 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 241.99/242.34 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 241.99/242.34 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__left__commute,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__aci_I3_J,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf_Oleft__commute,axiom, % 241.99/242.34 ! [V_c,V_a,V_b,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__left__commute,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__left__idem,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__aci_I4_J,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf_Oleft__idem,axiom, % 241.99/242.34 ! [V_b,V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__left__absorb,axiom, % 241.99/242.34 ! [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) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__less__linear,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Olinorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 | V_x = V_y % 241.99/242.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__commute,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__aci_I1_J,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf_Ocommute,axiom, % 241.99/242.34 ! [V_b,V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__commute,axiom, % 241.99/242.34 ! [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) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__fun__def,axiom, % 241.99/242.34 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( class_Lattices_Olattice(T_b) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__idem,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf_Oidem,axiom, % 241.99/242.34 ! [V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__absorb,axiom, % 241.99/242.34 ! [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 ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__top__right,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__top(T_a) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__UNIV__right,axiom, % 241.99/242.34 ! [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 ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__top__left,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__top(T_a) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__UNIV__left,axiom, % 241.99/242.34 ! [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 ). % 241.99/242.34 % 241.99/242.34 fof(fact_not__less__iff__gr__or__eq,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 241.99/242.34 | V_x_2 = V_y_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__neq__iff,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( V_x_2 != V_y_2 % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_top__apply,axiom, % 241.99/242.34 ! [V_x_2,T_c,T_b] : % 241.99/242.34 ( class_Orderings_Otop(T_b) % 241.99/242.34 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__irrefl,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_comp__surj,axiom, % 241.99/242.34 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 241.99/242.34 ( 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)) % 241.99/242.34 => ( 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)) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_o__def,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__comp,axiom, % 241.99/242.34 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__eq__diff__less,axiom, % 241.99/242.34 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 241.99/242.34 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.34 => ( 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) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__0__right,axiom, % 241.99/242.34 ! [V_a,T_a] : % 241.99/242.34 ( class_Groups_Ogroup__add(T_a) % 241.99/242.34 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__self,axiom, % 241.99/242.34 ! [V_a,T_a] : % 241.99/242.34 ( class_Groups_Ogroup__add(T_a) % 241.99/242.34 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_eq__iff__diff__eq__0,axiom, % 241.99/242.34 ! [V_b_2,V_a_2,T_b] : % 241.99/242.34 ( class_Groups_Oab__group__add(T_b) % 241.99/242.34 => ( V_a_2 = V_b_2 % 241.99/242.34 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_right__minus__eq,axiom, % 241.99/242.34 ! [V_b_2,V_a_2,T_b] : % 241.99/242.34 ( class_Groups_Ogroup__add(T_b) % 241.99/242.34 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 241.99/242.34 <=> V_a_2 = V_b_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_image__Int,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__infE,axiom, % 241.99/242.34 ! [V_b,V_a,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( 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))) % 241.99/242.34 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__mono,axiom, % 241.99/242.34 ! [V_d,V_b,V_c,V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 241.99/242.34 => 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))) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__greatest,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 241.99/242.34 => 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))) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__infI,axiom, % 241.99/242.34 ! [V_b,V_a,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 241.99/242.34 => 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))) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__absorb2,axiom, % 241.99/242.34 ! [V_x,V_y,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__absorb1,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__infI2,axiom, % 241.99/242.34 ! [V_a,V_x,V_b,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__infI1,axiom, % 241.99/242.34 ! [V_b,V_x,V_a,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__inf__iff,axiom, % 241.99/242.34 ! [V_z_2,V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_b) % 241.99/242.34 => ( 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))) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__iff__inf,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_b) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__le2,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__ord_I2_J,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__le1,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__inf(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__ord_I1_J,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_image__compose,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_image__vimage__eq,axiom, % 241.99/242.34 ! [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)))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__bot__right,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__bot(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__bot__left,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__bot(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__on__imageI2,axiom, % 241.99/242.34 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 241.99/242.34 ( 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) % 241.99/242.34 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_sup__inf__distrib2,axiom, % 241.99/242.34 ! [V_x,V_z,V_y,T_a] : % 241.99/242.34 ( class_Lattices_Odistrib__lattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__distrib2,axiom, % 241.99/242.34 ! [V_x,V_z,V_y,T_a] : % 241.99/242.34 ( class_Lattices_Odistrib__lattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_sup__inf__distrib1,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Odistrib__lattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__distrib1,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Odistrib__lattice(T_a) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_sup__inf__absorb,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__sup__absorb,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__iff,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.34 ( 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))) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.34 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_IntD1,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.34 ( 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))) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_IntD2,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_c_2,T_b] : % 241.99/242.34 ( 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))) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__fun__def,axiom, % 241.99/242.34 ! [V_g_2,V_f_2,T_b,T_c] : % 241.99/242.34 ( class_Orderings_Oord(T_c) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 241.99/242.34 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_xt1_I8_J,axiom, % 241.99/242.34 ! [V_z,V_x,V_y,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__le__less__trans,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_xt1_I7_J,axiom, % 241.99/242.34 ! [V_z,V_x,V_y,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__le__trans,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_xt1_I11_J,axiom, % 241.99/242.34 ! [V_a,V_b,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 241.99/242.34 => ( V_a != V_b % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__le__neq__trans,axiom, % 241.99/242.34 ! [V_b,V_a,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.34 => ( V_a != V_b % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__le__imp__less__or__eq,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 | V_x = V_y ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__antisym__conv2,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> V_x_2 = V_y_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__imp__le,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Opreorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_leD,axiom, % 241.99/242.34 ! [V_x,V_y,T_a] : % 241.99/242.34 ( class_Orderings_Olinorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.34 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_xt1_I12_J,axiom, % 241.99/242.34 ! [V_b,V_a,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( V_a != V_b % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__neq__le__trans,axiom, % 241.99/242.34 ! [V_b,V_a,T_a] : % 241.99/242.34 ( class_Orderings_Oorder(T_a) % 241.99/242.34 => ( V_a != V_b % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__antisym__conv1,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> V_x_2 = V_y_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_not__leE,axiom, % 241.99/242.34 ! [V_x,V_y,T_a] : % 241.99/242.34 ( class_Orderings_Olinorder(T_a) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_leI,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Olinorder(T_a) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__le__less,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Oorder(T_b) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 | V_x_2 = V_y_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__le__not__le,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Opreorder(T_b) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_order__less__le,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Oorder(T_b) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 & V_x_2 != V_y_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__le__less__linear,axiom, % 241.99/242.34 ! [V_y,V_x,T_a] : % 241.99/242.34 ( class_Orderings_Olinorder(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.34 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__not__le,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_linorder__not__less,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,T_b] : % 241.99/242.34 ( class_Orderings_Olinorder(T_b) % 241.99/242.34 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_psubsetD,axiom, % 241.99/242.34 ! [V_c_2,V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_disjoint__iff__not__equal,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,T_b] : % 241.99/242.34 ( 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)) % 241.99/242.34 <=> ! [B_x] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.99/242.34 => ! [B_xa] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 241.99/242.34 => B_x != B_xa ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__empty__right,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__empty__left,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_fun__upd__comp,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_vimage__compose,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_insert__inter__insert,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__mono,axiom, % 241.99/242.34 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__greatest,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_C_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__absorb1,axiom, % 241.99/242.34 ! [V_A_2,V_B_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__absorb2,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__lower2,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__lower1,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_not__psubset__empty,axiom, % 241.99/242.34 ! [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)))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__Int__crazy,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__Int__distrib2,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__Un__distrib2,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__Int__distrib,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__Un__distrib,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__supI2,axiom, % 241.99/242.34 ! [V_a,V_b,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__supI1,axiom, % 241.99/242.34 ! [V_b,V_a,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Osemilattice__sup(T_a) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_subset__psubset__trans,axiom, % 241.99/242.34 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_psubset__subset__trans,axiom, % 241.99/242.34 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_psubset__imp__subset,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_subset__iff__psubset__eq,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 | V_A_2 = V_B_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_psubset__eq,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 & V_A_2 != V_B_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_UNIV__not__empty,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__Int2,axiom, % 241.99/242.34 ! [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) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__Int__distrib2,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__Diff,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__Int__distrib,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__on__Int,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.34 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_subset__UNIV,axiom, % 241.99/242.34 ! [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)))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__UNIV__right,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__UNIV__left,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_injD,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 241.99/242.34 => V_x_2 = V_y_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__eq,axiom, % 241.99/242.34 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 241.99/242.34 <=> V_x_2 = V_y_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_vimage__Int,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_evaln__nonstrict,axiom, % 241.99/242.34 ! [V_m,V_t,V_n,V_s,V_c] : % 241.99/242.34 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 241.99/242.34 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_vimage__UNIV,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__iff__diff__le__0,axiom, % 241.99/242.34 ! [V_b_2,V_a_2,T_b] : % 241.99/242.34 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 241.99/242.34 <=> 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inf__Int__eq,axiom, % 241.99/242.34 ! [V_x_2,V_S_2,V_R_2,T_b] : % 241.99/242.34 ( 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)) % 241.99/242.34 <=> 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))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_range__composition,axiom, % 241.99/242.34 ! [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)))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__fun,axiom, % 241.99/242.34 ! [T_d,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => 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))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_top__greatest,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Orderings_Otop(T_a) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_sup__top__right,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__top(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_sup__top__left,axiom, % 241.99/242.34 ! [V_x,T_a] : % 241.99/242.34 ( class_Lattices_Obounded__lattice__top(T_a) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_distrib__sup__le,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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)))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_distrib__inf__le,axiom, % 241.99/242.34 ! [V_z,V_y,V_x,T_a] : % 241.99/242.34 ( class_Lattices_Olattice(T_a) % 241.99/242.34 => 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)))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__on__imageI,axiom, % 241.99/242.34 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 241.99/242.34 ( 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) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_comp__inj__on,axiom, % 241.99/242.34 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.34 => ( 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)) % 241.99/242.34 => 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) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_comp__inj__on__iff,axiom, % 241.99/242.34 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.34 => ( 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)) % 241.99/242.34 <=> 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) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__insert__right,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_a_2,T_b] : % 241.99/242.34 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.34 => 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)) ) % 241.99/242.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.34 => 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) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__insert__left,axiom, % 241.99/242.34 ! [V_B_2,V_C_2,V_a_2,T_b] : % 241.99/242.34 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 241.99/242.34 => 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)) ) % 241.99/242.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 241.99/242.34 => 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) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__insert__right__if0,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_a_2,T_b] : % 241.99/242.34 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__insert__left__if0,axiom, % 241.99/242.34 ! [V_B_2,V_C_2,V_a_2,T_b] : % 241.99/242.34 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 241.99/242.34 => 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) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__insert__right__if1,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_a_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Int__insert__left__if1,axiom, % 241.99/242.34 ! [V_B_2,V_C_2,V_a_2,T_b] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_image__Int__subset,axiom, % 241.99/242.34 ! [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)))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__disjoint,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__triv,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,T_b] : % 241.99/242.34 ( 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)) % 241.99/242.34 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__Int__assoc__eq,axiom, % 241.99/242.34 ! [V_C_2,V_B_2,V_A_2,T_b] : % 241.99/242.34 ( 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)) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__Int,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__Un,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Un__Diff__Int,axiom, % 241.99/242.34 ! [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 ). % 241.99/242.34 % 241.99/242.34 fof(fact_rangeI,axiom, % 241.99/242.34 ! [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))))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_range__eqI,axiom, % 241.99/242.34 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 241.99/242.34 ( V_b_2 = hAPP(V_f_2,V_x_2) % 241.99/242.34 => 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))))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__on__strict__subset,axiom, % 241.99/242.34 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Diff__UNIV,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__image__eq__iff,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( 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) % 241.99/242.34 <=> V_A_2 = V_B_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_surj__image__vimage__eq,axiom, % 241.99/242.34 ! [V_A_2,V_f_2,T_b,T_c] : % 241.99/242.34 ( 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)) % 241.99/242.34 => 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 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__singleton,axiom, % 241.99/242.34 ! [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))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_the__inv__f__f,axiom, % 241.99/242.34 ! [V_x_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => 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 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__on__image__Int,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 241.99/242.34 => 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)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_range__ex1__eq,axiom, % 241.99/242.34 ! [V_b_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( 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))))) % 241.99/242.34 <=> ? [B_x] : % 241.99/242.34 ( V_b_2 = hAPP(V_f_2,B_x) % 241.99/242.34 & ! [B_y] : % 241.99/242.34 ( V_b_2 = hAPP(V_f_2,B_y) % 241.99/242.34 => B_y = B_x ) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__image__mem__iff,axiom, % 241.99/242.34 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( 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))) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__image__subset__iff,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => ( 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))) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_image__set__diff,axiom, % 241.99/242.34 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => 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)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_vimage__subsetD,axiom, % 241.99/242.34 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 241.99/242.34 ( 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)) % 241.99/242.34 => ( 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)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__eq__diff__eq,axiom, % 241.99/242.34 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 241.99/242.34 ( class_Groups_Oab__group__add(T_b) % 241.99/242.34 => ( 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) % 241.99/242.34 => ( V_a_2 = V_b_2 % 241.99/242.34 <=> V_c_2 = V_d_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_inj__vimage__image__eq,axiom, % 241.99/242.34 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.34 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.34 => 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 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_vimage__const,axiom, % 241.99/242.34 ! [T_c,V_A_2,V_c_2,T_b] : % 241.99/242.34 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.34 => 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)) ) % 241.99/242.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.34 => 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)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_triple_Osize_I1_J,axiom, % 241.99/242.34 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.34 % 241.99/242.34 fof(fact_triple_Osize_I2_J,axiom, % 241.99/242.34 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le0,axiom, % 241.99/242.34 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Zero__not__Suc,axiom, % 241.99/242.34 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 241.99/242.34 % 241.99/242.34 fof(fact_nat_Osimps_I2_J,axiom, % 241.99/242.34 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Suc__not__Zero,axiom, % 241.99/242.34 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.34 % 241.99/242.34 fof(fact_nat_Osimps_I3_J,axiom, % 241.99/242.34 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Zero__neq__Suc,axiom, % 241.99/242.34 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Suc__neq__Zero,axiom, % 241.99/242.34 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.34 % 241.99/242.34 fof(fact_iso__tuple__UNIV__I,axiom, % 241.99/242.34 ! [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)))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__zeroE,axiom, % 241.99/242.34 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Suc__mono,axiom, % 241.99/242.34 ! [V_n,V_m] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_lessI,axiom, % 241.99/242.34 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_zero__less__Suc,axiom, % 241.99/242.34 ! [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))) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__le__self,axiom, % 241.99/242.34 ! [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)) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__le__mono2,axiom, % 241.99/242.34 ! [V_l,V_n,V_m] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 => 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))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__le__mono,axiom, % 241.99/242.34 ! [V_l,V_n,V_m] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 => 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))) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__diff__cancel,axiom, % 241.99/242.34 ! [V_n,V_i] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 241.99/242.34 => 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 ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_diff__less__mono,axiom, % 241.99/242.34 ! [V_c,V_b,V_a] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 241.99/242.34 => 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))) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_eq__diff__iff,axiom, % 241.99/242.34 ! [V_n_2,V_m_2,V_k_2] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 241.99/242.34 => ( 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) % 241.99/242.34 <=> V_m_2 = V_n_2 ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_Nat_Odiff__diff__eq,axiom, % 241.99/242.34 ! [V_n,V_m,V_k] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 241.99/242.34 => 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) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__diff__iff,axiom, % 241.99/242.34 ! [V_n_2,V_m_2,V_k_2] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 241.99/242.34 => ( 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))) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__diff__iff,axiom, % 241.99/242.34 ! [V_n_2,V_m_2,V_k_2] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 241.99/242.34 => ( 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))) % 241.99/242.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__or__eq__imp__le,axiom, % 241.99/242.34 ! [V_n,V_m] : % 241.99/242.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 | V_m = V_n ) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__antisym,axiom, % 241.99/242.34 ! [V_n,V_m] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 241.99/242.34 => V_m = V_n ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__trans,axiom, % 241.99/242.34 ! [V_k,V_j,V_i] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 241.99/242.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__neq__implies__less,axiom, % 241.99/242.34 ! [V_n,V_m] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 => ( V_m != V_n % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_less__imp__le__nat,axiom, % 241.99/242.34 ! [V_n,V_m] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_eq__imp__le,axiom, % 241.99/242.34 ! [V_n,V_m] : % 241.99/242.34 ( V_m = V_n % 241.99/242.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_le__eq__less__or__eq,axiom, % 241.99/242.34 ! [V_n_2,V_m_2] : % 241.99/242.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.34 | V_m_2 = V_n_2 ) ) ). % 241.99/242.34 % 241.99/242.34 fof(fact_nat__less__le,axiom, % 241.99/242.34 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 & V_m_2 != V_n_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_nat__le__linear,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__refl,axiom, % 241.99/242.35 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_gr0I,axiom, % 241.99/242.35 ! [V_n] : % 241.99/242.35 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_gr__implies__not0,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__nat__zero__code,axiom, % 241.99/242.35 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neq0__conv,axiom, % 241.99/242.35 ! [V_n_2] : % 241.99/242.35 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_not__less0,axiom, % 241.99/242.35 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__less,axiom, % 241.99/242.35 ! [V_m,V_n] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 241.99/242.35 => 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)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_zero__less__diff,axiom, % 241.99/242.35 ! [V_m_2,V_n_2] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__less__Suc,axiom, % 241.99/242.35 ! [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))) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__less__SucD,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__lessD,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__SucE,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 241.99/242.35 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => V_m = V_n ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__trans__Suc,axiom, % 241.99/242.35 ! [V_k,V_j,V_i] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__lessI,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__SucI,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__antisym,axiom, % 241.99/242.35 ! [V_m,V_n] : % 241.99/242.35 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 241.99/242.35 => V_m = V_n ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_not__less__less__Suc__eq,axiom, % 241.99/242.35 ! [V_m_2,V_n_2] : % 241.99/242.35 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 241.99/242.35 <=> V_n_2 = V_m_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__less__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__Suc__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 241.99/242.35 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 | V_m_2 = V_n_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_not__less__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__le__lessD,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__less__Suc__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 241.99/242.35 <=> V_n_2 = V_m_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__leI,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__imp__less__Suc,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__le__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__Suc__eq__le,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__eq__Suc__le,axiom, % 241.99/242.35 ! [V_m_2,V_n_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__eq__Suc__le__raw,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_gr0__conv__Suc,axiom, % 241.99/242.35 ! [V_n_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 241.99/242.35 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__Suc0,axiom, % 241.99/242.35 ! [V_n_2] : % 241.99/242.35 ( 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)))) % 241.99/242.35 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__Suc__eq__0__disj,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 241.99/242.35 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.35 | ? [B_j] : % 241.99/242.35 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 241.99/242.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__Suc__less,axiom, % 241.99/242.35 ! [V_i,V_n] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__pred,axiom, % 241.99/242.35 ! [V_n] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bot__nat__def,axiom, % 241.99/242.35 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 241.99/242.35 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__0__eq,axiom, % 241.99/242.35 ! [V_n_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 241.99/242.35 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diffs0__imp__equal,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.35 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.35 => V_m = V_n ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__is__0__eq_H,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__is__0__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__self__eq__0,axiom, % 241.99/242.35 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__nat_Odiff__0,axiom, % 241.99/242.35 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__0__eq__0,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__Suc,axiom, % 241.99/242.35 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__diff__diff,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__Suc__Suc,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__inject,axiom, % 241.99/242.35 ! [V_y,V_x] : % 241.99/242.35 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 241.99/242.35 => V_x = V_y ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_nat_Oinject,axiom, % 241.99/242.35 ! [V_nat_H_2,V_nat_2] : % 241.99/242.35 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 241.99/242.35 <=> V_nat_2 = V_nat_H_2 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__n__not__n,axiom, % 241.99/242.35 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 241.99/242.35 % 241.99/242.35 fof(fact_n__not__Suc__n,axiom, % 241.99/242.35 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__diff__le,axiom, % 241.99/242.35 ! [V_m,V_n] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__leD,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__SucE,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 241.99/242.35 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__SucI,axiom, % 241.99/242.35 ! [V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__le__mono,axiom, % 241.99/242.35 ! [V_m_2,V_n_2] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__Suc__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 241.99/242.35 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_not__less__eq__eq,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Suc__n__not__le__n,axiom, % 241.99/242.35 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_o__eq__dest__lhs,axiom, % 241.99/242.35 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 241.99/242.35 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 241.99/242.35 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_K__record__comp,axiom, % 241.99/242.35 ! [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 ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 241.99/242.35 <=> 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__comp,axiom, % 241.99/242.35 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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)) % 241.99/242.35 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 241.99/242.35 => ( 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)))) % 241.99/242.35 => 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) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_vimage__if,axiom, % 241.99/242.35 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 241.99/242.35 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.35 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 241.99/242.35 => 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)) ) % 241.99/242.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 241.99/242.35 => 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 ) ) ) % 241.99/242.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.35 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 241.99/242.35 => 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) ) % 241.99/242.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 241.99/242.35 => 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)) ) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_rangeE,axiom, % 241.99/242.35 ! [V_f_2,T_c,V_b_2,T_b] : % 241.99/242.35 ( 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))))) % 241.99/242.35 => ~ ! [B_x] : V_b_2 != hAPP(V_f_2,B_x) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__Suc,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_mk__less__def,axiom, % 241.99/242.35 ! [V_y_2,V_x_2,V_R_2,T_b] : % 241.99/242.35 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2) % 241.99/242.35 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 241.99/242.35 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_vimage__subset__eq,axiom, % 241.99/242.35 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => ( 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)) % 241.99/242.35 <=> 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_psubset__imp__ex__mem,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,T_b] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.35 => ? [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))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__image__Compl__subset,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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)))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__uminus,axiom, % 241.99/242.35 ! [V_A_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_ComplI,axiom, % 241.99/242.35 ! [V_A_2,V_c_2,T_b] : % 241.99/242.35 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 241.99/242.35 => 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))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__imp__diff__less,axiom, % 241.99/242.35 ! [V_n,V_k,V_j] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__less__mono2,axiom, % 241.99/242.35 ! [V_l,V_n,V_m] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 241.99/242.35 => 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__not__refl,axiom, % 241.99/242.35 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_nat__neq__iff,axiom, % 241.99/242.35 ! [V_n_2,V_m_2] : % 241.99/242.35 ( V_m_2 != V_n_2 % 241.99/242.35 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_linorder__neqE__nat,axiom, % 241.99/242.35 ! [V_y,V_x] : % 241.99/242.35 ( V_x != V_y % 241.99/242.35 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__irrefl__nat,axiom, % 241.99/242.35 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__not__refl2,axiom, % 241.99/242.35 ! [V_m,V_n] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 241.99/242.35 => V_m != V_n ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__not__refl3,axiom, % 241.99/242.35 ! [V_t,V_s] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 241.99/242.35 => V_s != V_t ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_nat__less__cases,axiom, % 241.99/242.35 ! [V_Pa_2,V_n_2,V_m_2] : % 241.99/242.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.35 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 241.99/242.35 => ( ( V_m_2 = V_n_2 % 241.99/242.35 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 241.99/242.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 241.99/242.35 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 241.99/242.35 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__commute,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__inv__into__eq,axiom, % 241.99/242.35 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.35 => 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) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__imp__bij__inv,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__inv__eq,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__eq__compl__iff,axiom, % 241.99/242.35 ! [V_y_2,V_x_2,T_b] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_b) % 241.99/242.35 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 241.99/242.35 <=> V_x_2 = V_y_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__eq__Compl__iff,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,T_b] : % 241.99/242.35 ( 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) % 241.99/242.35 <=> V_A_2 = V_B_2 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_uminus__apply,axiom, % 241.99/242.35 ! [V_x_2,V_A_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Ouminus(T_b) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_double__compl,axiom, % 241.99/242.35 ! [V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_double__complement,axiom, % 241.99/242.35 ! [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 ). % 241.99/242.35 % 241.99/242.35 fof(fact_fun__Compl__def,axiom, % 241.99/242.35 ! [V_x_2,V_A_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Ouminus(T_b) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__inv__into,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__equal__iff__equal,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_b) % 241.99/242.35 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 241.99/242.35 <=> V_a_2 = V_b_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__equation__iff,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_b) % 241.99/242.35 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 241.99/242.35 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_equation__minus__iff,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_b) % 241.99/242.35 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 241.99/242.35 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__minus,axiom, % 241.99/242.35 ! [V_a,T_a] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_a) % 241.99/242.35 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__image__Compl__eq,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_o__inv__distrib,axiom, % 241.99/242.35 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => ( 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))) % 241.99/242.35 => 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)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__minus__iff,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__le__iff,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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)) % 241.99/242.35 <=> 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)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__le__iff__le,axiom, % 241.99/242.35 ! [V_a_2,V_b_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__imp__neg__le,axiom, % 241.99/242.35 ! [V_b,V_a,T_a] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_a) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.35 => 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__mono,axiom, % 241.99/242.35 ! [V_y,V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 241.99/242.35 => 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__le__compl__iff,axiom, % 241.99/242.35 ! [V_y_2,V_x_2,T_b] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__zero,axiom, % 241.99/242.35 ! [T_a] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_a) % 241.99/242.35 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__0__equal__iff__equal,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_b) % 241.99/242.35 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 241.99/242.35 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_equal__neg__zero,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.35 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 241.99/242.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__equal__0__iff__equal,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_b) % 241.99/242.35 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 241.99/242.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__equal__zero,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.35 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 241.99/242.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__minus__iff,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__less__iff,axiom, % 241.99/242.35 ! [V_b_2,V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__less__iff__less,axiom, % 241.99/242.35 ! [V_a_2,V_b_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__iff,axiom, % 241.99/242.35 ! [V_A_2,V_c_2,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_ComplD,axiom, % 241.99/242.35 ! [V_A_2,V_c_2,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_ComplE,axiom, % 241.99/242.35 ! [V_A_2,V_c_2,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__diff__eq,axiom, % 241.99/242.35 ! [V_b,V_a,T_a] : % 241.99/242.35 ( class_Groups_Oab__group__add(T_a) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__empty2,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__empty1,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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) % 241.99/242.35 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__anti__mono,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,T_b] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.35 => 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))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__subset__Compl__iff,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__trans,axiom, % 241.99/242.35 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.35 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 241.99/242.35 => 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) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__comp__iff,axiom, % 241.99/242.35 ! [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] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 241.99/242.35 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 241.99/242.35 <=> 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) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__imp__inj__on,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.35 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_vimage__Compl,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__the__inv__into,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__vimage__eq__inv__image,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_minus__le__self__iff,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.35 => ( 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)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__le__0__iff__le,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_le__minus__self__iff,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__0__le__iff__le,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__0__less__iff__less,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__less__0__iff__less,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Oordered__ab__group__add(T_b) % 241.99/242.35 => ( 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))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_neg__less__nonneg,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__0,axiom, % 241.99/242.35 ! [V_a,T_a] : % 241.99/242.35 ( class_Groups_Ogroup__add(T_a) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inf__compl__bot,axiom, % 241.99/242.35 ! [V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__inf__bot,axiom, % 241.99/242.35 ! [V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_diff__eq,axiom, % 241.99/242.35 ! [V_y,V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__bot__eq,axiom, % 241.99/242.35 ! [T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__top__eq,axiom, % 241.99/242.35 ! [T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__inf,axiom, % 241.99/242.35 ! [V_y,V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__sup,axiom, % 241.99/242.35 ! [V_y,V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_sup__compl__top,axiom, % 241.99/242.35 ! [V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__sup__top,axiom, % 241.99/242.35 ! [V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_subset__Compl__self__eq,axiom, % 241.99/242.35 ! [V_A_2,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__empty__eq,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__UNIV__eq,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__disjoint,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__disjoint2,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__subset,axiom, % 241.99/242.35 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.35 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 241.99/242.35 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__imp__surj,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__is__surj,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__comp,axiom, % 241.99/242.35 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => ( 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))) % 241.99/242.35 => 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__partition,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__partition2,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__Int,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__Un,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__eq__Diff__UNIV,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__is__inj,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__on__imp__bij__betw,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__def,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.35 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Compl__Diff__eq,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Diff__Compl,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Diff__eq,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_f__inv__into__f,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__into,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__injective,axiom, % 241.99/242.35 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 241.99/242.35 ( 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) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 241.99/242.35 => V_x_2 = V_y_2 ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__f__f,axiom, % 241.99/242.35 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.35 => 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 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__f__eq,axiom, % 241.99/242.35 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.35 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 241.99/242.35 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_image__inv__into__cancel,axiom, % 241.99/242.35 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 241.99/242.35 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 241.99/242.35 => 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 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_image__surj__f__inv__f,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_b,T_c] : % 241.99/242.35 ( 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)) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_surj__f__inv__f,axiom, % 241.99/242.35 ! [V_y_2,V_f_2,T_b,T_c] : % 241.99/242.35 ( 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)) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_surj__iff__all,axiom, % 241.99/242.35 ! [V_f_2,T_b,T_c] : % 241.99/242.35 ( 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)) % 241.99/242.35 <=> ! [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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__f__eq,axiom, % 241.99/242.35 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 241.99/242.35 => 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 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__f__f,axiom, % 241.99/242.35 ! [V_x_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_nat__case__0,axiom, % 241.99/242.35 ! [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 ). % 241.99/242.35 % 241.99/242.35 fof(fact_nat__case__Suc,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_disjoint__eq__subset__Compl,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,T_b] : % 241.99/242.35 ( 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)) % 241.99/242.35 <=> 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))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__combine,axiom, % 241.99/242.35 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.35 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 241.99/242.35 => ( 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)) % 241.99/242.35 => 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)) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__Disj__Un,axiom, % 241.99/242.35 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 241.99/242.35 ( 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)) % 241.99/242.35 => ( 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)) % 241.99/242.35 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 241.99/242.35 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 241.99/242.35 => 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)) ) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_surj__Compl__image__subset,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_b,T_c] : % 241.99/242.35 ( 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)) % 241.99/242.35 => 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)))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__comp__iff2,axiom, % 241.99/242.35 ! [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] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 241.99/242.35 => ( 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)) % 241.99/242.35 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 241.99/242.35 <=> 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) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__def,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 & 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)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bijI,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => ( 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)) % 241.99/242.35 => 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__on__inv__into,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 241.99/242.35 ( 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))) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__into__image__cancel,axiom, % 241.99/242.35 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 241.99/242.35 => 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 ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_surj__imp__inj__inv,axiom, % 241.99/242.35 ! [V_f_2,T_b,T_c] : % 241.99/242.35 ( 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)) % 241.99/242.35 => 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))) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__image__comp,axiom, % 241.99/242.35 ! [V_X_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_image__inv__f__f,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__imp__surj__inv,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_o__inv__o__cancel,axiom, % 241.99/242.35 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_compl__unique,axiom, % 241.99/242.35 ! [V_y,V_x,T_a] : % 241.99/242.35 ( class_Lattices_Oboolean__algebra(T_a) % 241.99/242.35 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 241.99/242.35 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 241.99/242.35 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_less__minus__self__iff,axiom, % 241.99/242.35 ! [V_a_2,T_b] : % 241.99/242.35 ( class_Rings_Olinordered__idom(T_b) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 241.99/242.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_termination__basic__simps_I5_J,axiom, % 241.99/242.35 ! [V_y,V_x] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__transfer,axiom, % 241.99/242.35 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => ( ! [B_y] : % 241.99/242.35 ( 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))))) % 241.99/242.35 => 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))) ) % 241.99/242.35 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__on__diff__nat,axiom, % 241.99/242.35 ! [V_k_2,V_N_2] : % 241.99/242.35 ( ! [B_x] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_Cantor__Bernstein,axiom, % 241.99/242.35 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 => ( 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)) % 241.99/242.35 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 241.99/242.35 => ( 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)) % 241.99/242.35 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__diff1__nat,axiom, % 241.99/242.35 ! [V_f_2,V_A_2,V_a_2,T_b] : % 241.99/242.35 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.35 => 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)) ) % 241.99/242.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.35 => 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) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__o__cancel,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__iff,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.35 <=> 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_surj__iff,axiom, % 241.99/242.35 ! [V_f_2,T_b,T_c] : % 241.99/242.35 ( 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)) % 241.99/242.35 <=> 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__id,axiom, % 241.99/242.35 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 241.99/242.35 % 241.99/242.35 fof(fact_id__apply,axiom, % 241.99/242.35 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__commute,axiom, % 241.99/242.35 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_b) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_id__def,axiom, % 241.99/242.35 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__reindex__id,axiom, % 241.99/242.35 ! [V_B_2,V_f_2,T_b,T_c] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.35 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 241.99/242.35 => 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)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_image__id,axiom, % 241.99/242.35 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 241.99/242.35 % 241.99/242.35 fof(fact_o__eq__id__dest,axiom, % 241.99/242.35 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 241.99/242.35 ( 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) % 241.99/242.35 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_id__o,axiom, % 241.99/242.35 ! [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 ). % 241.99/242.35 % 241.99/242.35 fof(fact_o__id,axiom, % 241.99/242.35 ! [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 ). % 241.99/242.35 % 241.99/242.35 fof(fact_inj__on__id,axiom, % 241.99/242.35 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__0,axiom, % 241.99/242.35 ! [V_A_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_b) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__subtractf,axiom, % 241.99/242.35 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Oab__group__add(T_b) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__betw__id__iff,axiom, % 241.99/242.35 ! [V_B_2,V_A_2,T_b] : % 241.99/242.35 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 241.99/242.35 <=> V_A_2 = V_B_2 ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_vimage__id,axiom, % 241.99/242.35 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__negf,axiom, % 241.99/242.35 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Oab__group__add(T_b) % 241.99/242.35 => 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)) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__empty,axiom, % 241.99/242.35 ! [V_f_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_b) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum_Oempty,axiom, % 241.99/242.35 ! [V_g_2,T_c,T_b] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_b) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_surj__id,axiom, % 241.99/242.35 ! [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)) ). % 241.99/242.35 % 241.99/242.35 fof(fact_bij__id,axiom, % 241.99/242.35 ! [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))) ). % 241.99/242.35 % 241.99/242.35 fof(fact_inv__id,axiom, % 241.99/242.35 ! [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) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__reindex,axiom, % 241.99/242.35 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_d) % 241.99/242.35 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 241.99/242.35 => 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) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_linorder__neqE__linordered__idom,axiom, % 241.99/242.35 ! [V_y,V_x,T_a] : % 241.99/242.35 ( class_Rings_Olinordered__idom(T_a) % 241.99/242.35 => ( V_x != V_y % 241.99/242.35 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 241.99/242.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_comp__cong,axiom, % 241.99/242.35 ! [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] : % 241.99/242.35 ( 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)) % 241.99/242.35 => 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) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__diff1__ring,axiom, % 241.99/242.35 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 241.99/242.35 ( class_Rings_Oring(T_c) % 241.99/242.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.35 => 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)) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__diff1,axiom, % 241.99/242.35 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 241.99/242.35 ( class_Groups_Oab__group__add(T_c) % 241.99/242.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.35 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.35 => 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)) ) % 241.99/242.35 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.35 => 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) ) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__SucD,axiom, % 241.99/242.35 ! [V_n_2,V_A_2,V_f_2,T_b] : % 241.99/242.35 ( 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) % 241.99/242.35 => ? [B_x] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.99/242.35 & 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))) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__reindex__cong,axiom, % 241.99/242.35 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_d) % 241.99/242.35 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.35 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 241.99/242.35 => ( ! [B_a] : % 241.99/242.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 241.99/242.35 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 241.99/242.35 => 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) ) ) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__restrict__set,axiom, % 241.99/242.35 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.35 => 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) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum__diff__nat,axiom, % 241.99/242.35 ! [V_f_2,V_A_2,V_B_2,T_b] : % 241.99/242.35 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.35 => 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)) ) ) ). % 241.99/242.35 % 241.99/242.35 fof(fact_setsum_Oreindex,axiom, % 241.99/242.35 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 241.99/242.35 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_bij__image__Collect__eq,axiom, % 241.99/242.36 ! [V_Pa_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 => 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))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__diff,axiom, % 241.99/242.36 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Oab__group__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_CollectI,axiom, % 241.99/242.36 ! [T_b,V_a_2,V_Pa_2] : % 241.99/242.36 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__def,axiom, % 241.99/242.36 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__empty__eq,axiom, % 241.99/242.36 ! [V_Pa_2,T_b] : % 241.99/242.36 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_empty__Collect__eq,axiom, % 241.99/242.36 ! [V_Pa_2,T_b] : % 241.99/242.36 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 241.99/242.36 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__mem__eq,axiom, % 241.99/242.36 ! [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 ). % 241.99/242.36 % 241.99/242.36 fof(fact_mem__Collect__eq,axiom, % 241.99/242.36 ! [V_Pa_2,V_a_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_CollectD,axiom, % 241.99/242.36 ! [V_Pa_2,V_a_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_CollectE,axiom, % 241.99/242.36 ! [V_Pa_2,V_a_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_empty__def,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_insert__Collect,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_UNIV__def,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__disj__eq,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__conj__eq,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__neg__eq,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_vimage__Collect__eq,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum_Oinfinite,axiom, % 241.99/242.36 ! [V_g_2,V_A_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__infinite,axiom, % 241.99/242.36 ! [V_f_2,V_A_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_insert__compr__raw,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_insert__compr,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Un__def,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Int__def,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Int__Collect,axiom, % 241.99/242.36 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__conv__if,axiom, % 241.99/242.36 ! [T_b,V_a_2,V_Pa_2] : % 241.99/242.36 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 241.99/242.36 => 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))) ) % 241.99/242.36 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__conv__if2,axiom, % 241.99/242.36 ! [T_b,V_a_2,V_Pa_2] : % 241.99/242.36 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 241.99/242.36 => 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))) ) % 241.99/242.36 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_singleton__conv,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_singleton__conv2,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_set__diff__eq,axiom, % 241.99/242.36 ! [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)))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_insert__def,axiom, % 241.99/242.36 ! [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) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Compl__eq,axiom, % 241.99/242.36 ! [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))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_vimage__def,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Collect__imp__eq,axiom, % 241.99/242.36 ! [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)) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__eq__0__iff,axiom, % 241.99/242.36 ! [V_f_2,V_F_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 => ( 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) % 241.99/242.36 <=> ! [B_x] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 241.99/242.36 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_if__image__distrib,axiom, % 241.99/242.36 ! [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))))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__eq__Suc0__iff,axiom, % 241.99/242.36 ! [V_f_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 <=> ? [B_x] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.99/242.36 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 241.99/242.36 & ! [B_xa] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 241.99/242.36 => ( B_x != B_xa % 241.99/242.36 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__delta_H,axiom, % 241.99/242.36 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 241.99/242.36 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 241.99/242.36 => 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) ) % 241.99/242.36 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 241.99/242.36 => 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) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__delta,axiom, % 241.99/242.36 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 241.99/242.36 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 241.99/242.36 => 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) ) % 241.99/242.36 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 241.99/242.36 => 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) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__subsets,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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)))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__conjI,axiom, % 241.99/242.36 ! [V_Qa_2,V_Pa_2,T_b] : % 241.99/242.36 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) % 241.99/242.36 => 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)))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__image__gen,axiom, % 241.99/242.36 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__restrict__set_H,axiom, % 241.99/242.36 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Diff,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Int,axiom, % 241.99/242.36 ! [V_Ga_2,V_F_2,T_b] : % 241.99/242.36 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) % 241.99/242.36 => 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))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__imageI,axiom, % 241.99/242.36 ! [V_h_2,T_c,V_F_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite_OinsertI,axiom, % 241.99/242.36 ! [V_a_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__less__nat,axiom, % 241.99/242.36 ! [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)))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__le__nat,axiom, % 241.99/242.36 ! [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)))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite_OemptyI,axiom, % 241.99/242.36 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__code,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( class_Finite__Set_Ofinite(T_b) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( class_Finite__Set_Ofinite(T_b) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__nat__set__iff__bounded,axiom, % 241.99/242.36 ! [V_N_2] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 241.99/242.36 <=> ? [B_m] : % 241.99/242.36 ! [B_x] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 241.99/242.36 ! [V_N_2] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 241.99/242.36 <=> ? [B_m] : % 241.99/242.36 ! [B_x] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__M__bounded__by__nat,axiom, % 241.99/242.36 ! [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))))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite_Oequations_I1_J,axiom, % 241.99/242.36 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__insert,axiom, % 241.99/242.36 ! [V_A_2,V_a_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_rev__finite__subset,axiom, % 241.99/242.36 ! [V_A_2,V_B_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__subset,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Prod__UNIV,axiom, % 241.99/242.36 ! [T_c,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 241.99/242.36 => 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)))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__fun__UNIVD2,axiom, % 241.99/242.36 ! [T_c,T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Plus__UNIV__iff,axiom, % 241.99/242.36 ! [T_c,T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__option__UNIV,axiom, % 241.99/242.36 ! [T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__UNIV,axiom, % 241.99/242.36 ! [T_b] : % 241.99/242.36 ( class_Finite__Set_Ofinite(T_b) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__UnI,axiom, % 241.99/242.36 ! [V_Ga_2,V_F_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) % 241.99/242.36 => 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))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Un,axiom, % 241.99/242.36 ! [V_Ga_2,V_F_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Diff2,axiom, % 241.99/242.36 ! [V_A_2,V_B_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( 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))) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_bij__betw__finite,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_nat__seg__image__imp__finite,axiom, % 241.99/242.36 ! [V_n_2,V_f_2,T_b,V_A_2] : % 241.99/242.36 ( 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))) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__disjI,axiom, % 241.99/242.36 ! [V_Qa_2,V_Pa_2,T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__surj,axiom, % 241.99/242.36 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( 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))) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Diff__insert,axiom, % 241.99/242.36 ! [V_B_2,V_a_2,V_A_2,T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 <=> 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))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__imageD,axiom, % 241.99/242.36 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 241.99/242.36 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__compl,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__not,axiom, % 241.99/242.36 ! [V_Pa_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 => ( 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)))) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__range__imageI,axiom, % 241.99/242.36 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 241.99/242.36 ( 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))))) % 241.99/242.36 => 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))))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__surj__inj,axiom, % 241.99/242.36 ! [V_f_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( 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))) % 241.99/242.36 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_endo__inj__surj,axiom, % 241.99/242.36 ! [V_f_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 241.99/242.36 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__UNIV__inj__surj,axiom, % 241.99/242.36 ! [V_f_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__UNIV__surj__inj,axiom, % 241.99/242.36 ! [V_f_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 => ( 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)) % 241.99/242.36 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__vimageD,axiom, % 241.99/242.36 ! [V_F_2,V_h_2,T_c,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 241.99/242.36 => ( 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)) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__vimageI,axiom, % 241.99/242.36 ! [V_h_2,T_c,V_F_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__vimage__iff,axiom, % 241.99/242.36 ! [V_F_2,V_h_2,T_c,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 241.99/242.36 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__setsum__restrict,axiom, % 241.99/242.36 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_d) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Oremove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image__simple_Oremove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 241.99/242.36 => 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)))))) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Oremove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 241.99/242.36 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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)))))) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__mono2,axiom, % 241.99/242.36 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Oordered__comm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => ( ! [B_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 241.99/242.36 => 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))) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image_Oreindex,axiom, % 241.99/242.36 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ounion,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Oinsert__remove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__mono3,axiom, % 241.99/242.36 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 241.99/242.36 ( ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => ( ! [B_x] : % 241.99/242.36 ( 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))) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 241.99/242.36 => 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))) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_infinite__UNIV__nat,axiom, % 241.99/242.36 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 241.99/242.36 ! [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] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 241.99/242.36 => 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) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__comp,axiom, % 241.99/242.36 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => 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)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__left__comp,axiom, % 241.99/242.36 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => 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)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image__simple_Oempty,axiom, % 241.99/242.36 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 241.99/242.36 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image_Odistrib,axiom, % 241.99/242.36 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 241.99/242.36 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__comp_H_H,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__left__comp_H,axiom, % 241.99/242.36 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ocommute__comp_H,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Oempty,axiom, % 241.99/242.36 ! [V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Osingleton,axiom, % 241.99/242.36 ! [V_x_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => 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 ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image__simple_Oinsert,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image__simple_Ounion__inter,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Oinsert,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding_Ounion__inter,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Oinsert,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => 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)))))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Oinsert__remove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 241.99/242.36 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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)))))) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Ounion__disjoint,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Ounion__inter,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__reindex__nonzero,axiom, % 241.99/242.36 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_d) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 241.99/242.36 => ( ! [B_x] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 241.99/242.36 => ! [B_y] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 241.99/242.36 => ( B_x != B_y % 241.99/242.36 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 241.99/242.36 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OatMost__iff,axiom, % 241.99/242.36 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 241.99/242.36 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OatLeast__iff,axiom, % 241.99/242.36 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 241.99/242.36 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OlessThan__iff,axiom, % 241.99/242.36 ! [V_k_2,V_less_2,V_i_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 241.99/242.36 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OgreaterThan__iff,axiom, % 241.99/242.36 ! [V_k_2,V_less_2,V_i_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 241.99/242.36 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OatLeastAtMost__iff,axiom, % 241.99/242.36 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 241.99/242.36 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 241.99/242.36 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 241.99/242.36 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OatLeastLessThan__iff,axiom, % 241.99/242.36 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 241.99/242.36 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 241.99/242.36 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 241.99/242.36 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Oremove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 241.99/242.36 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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)))))) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Oremove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 241.99/242.36 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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)))))) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__idem_Ounion__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__idem_Oinsert__idem,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one_Oclosed,axiom, % 241.99/242.36 ! [V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( ! [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)))))) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__idem_Oin__comp__idem,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__le__Sup,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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))) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Osingleton,axiom, % 241.99/242.36 ! [V_x_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => 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 ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Osingleton,axiom, % 241.99/242.36 ! [V_x_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => 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 ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__idem_Oidem__comp,axiom, % 241.99/242.36 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => 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) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__idem_Oidem__left__comp,axiom, % 241.99/242.36 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 241.99/242.36 => 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) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_sup__Inf__absorb,axiom, % 241.99/242.36 ! [V_a_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.36 => 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 ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Oin__idem,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_inf__Sup__absorb,axiom, % 241.99/242.36 ! [V_a_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.36 => 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 ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Oin__idem,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Oinsert__idem,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Oinsert__idem,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Osubset__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.36 => 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) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Osubset__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.36 => 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) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Ounion__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Ounion__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Oinsert,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Oinsert,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Oinsert__remove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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 ) % 241.99/242.36 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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)))))) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Oinsert__remove,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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 ) % 241.99/242.36 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 241.99/242.36 => 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)))))) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Ounion__inter,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Ounion__inter,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( 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)) % 241.99/242.36 => 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)) ) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Oclosed,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( ! [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)))))) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Oclosed,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( ! [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)))))) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_inf__Sup1__distrib,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Odistrib__lattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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))))) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_inf__Sup2__distrib,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Odistrib__lattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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))))))) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_sup__Inf1__distrib,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Odistrib__lattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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))))) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_sup__Inf2__distrib,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.36 ( class_Lattices_Odistrib__lattice(T_b) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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))))))) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__nonneg__0,axiom, % 241.99/242.36 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Oordered__ab__group__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 241.99/242.36 => ( ! [B_i] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 241.99/242.36 => ( 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) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 241.99/242.36 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__nonneg__leq__bound,axiom, % 241.99/242.36 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Oordered__ab__group__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 241.99/242.36 => ( ! [B_i] : % 241.99/242.36 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 241.99/242.36 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 241.99/242.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__Collect__bounded__ex,axiom, % 241.99/242.36 ! [V_Qa_2,T_c,V_Pa_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 => ( 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))))) % 241.99/242.36 <=> ! [B_y] : % 241.99/242.36 ( hBOOL(hAPP(V_Pa_2,B_y)) % 241.99/242.36 => 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)))) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__image__set,axiom, % 241.99/242.36 ! [V_f_2,T_c,V_Pa_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 241.99/242.36 => 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))))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Inf__fin_Ohom__commute,axiom, % 241.99/242.36 ! [V_N_2,V_h_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( ! [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)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 241.99/242.36 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_Sup__fin_Ohom__commute,axiom, % 241.99/242.36 ! [V_N_2,V_h_2,T_b] : % 241.99/242.36 ( class_Lattices_Olattice(T_b) % 241.99/242.36 => ( ! [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)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 241.99/242.36 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__fun__UNIVD1,axiom, % 241.99/242.36 ! [T_c,T_b] : % 241.99/242.36 ( 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)))) % 241.99/242.36 => ( 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)) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__mono__zero__right,axiom, % 241.99/242.36 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 241.99/242.36 => ( ! [B_x] : % 241.99/242.36 ( 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))) % 241.99/242.36 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 241.99/242.36 => 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) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_setsum__mono__zero__left,axiom, % 241.99/242.36 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 241.99/242.36 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 241.99/242.36 => ( ! [B_x] : % 241.99/242.36 ( 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))) % 241.99/242.36 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 241.99/242.36 => 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) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__empty__induct,axiom, % 241.99/242.36 ! [V_Pa_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 241.99/242.36 => ( ! [B_a,B_A] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 241.99/242.36 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 241.99/242.36 => 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)))))) ) ) ) % 241.99/242.36 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one__idem_Ounion__idem,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 => 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)) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__subset__induct,axiom, % 241.99/242.36 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 => ( ! [B_a,B_F] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 241.99/242.36 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 241.99/242.36 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 241.99/242.36 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_folding__one__idem_Oidem,axiom, % 241.99/242.36 ! [V_x_2,V_F_2,V_f_2,T_b] : % 241.99/242.36 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 241.99/242.36 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_bij__betw__same__card,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 241.99/242.36 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card_Oempty,axiom, % 241.99/242.36 ! [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) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__infinite,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 => ( 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))) % 241.99/242.36 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__image,axiom, % 241.99/242.36 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.36 => 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) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_BIJ,axiom, % 241.99/242.36 ! [V_B_2,T_c,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 241.99/242.36 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 241.99/242.36 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__eq__0__iff,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.36 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__ge__0__finite,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__insert__le,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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)))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__mono,axiom, % 241.99/242.36 ! [V_A_2,V_B_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => 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))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__seteq,axiom, % 241.99/242.36 ! [V_A_2,V_B_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => ( 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))) % 241.99/242.36 => V_A_2 = V_B_2 ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__image__le,axiom, % 241.99/242.36 ! [V_f_2,T_c,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => 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))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_eq__card__imp__inj__on,axiom, % 241.99/242.36 ! [V_f_2,T_c,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( 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) % 241.99/242.36 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_inj__on__iff__eq__card,axiom, % 241.99/242.36 ! [V_f_2,T_c,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.36 <=> 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) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_pigeonhole,axiom, % 241.99/242.36 ! [V_A_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_psubset__card__mono,axiom, % 241.99/242.36 ! [V_A_2,V_B_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.36 => 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))) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__insert__disjoint,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__insert__if,axiom, % 241.99/242.36 ! [V_x_2,V_A_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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) ) % 241.99/242.36 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__gt__0__iff,axiom, % 241.99/242.36 ! [V_A_2,T_b] : % 241.99/242.36 ( 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))) % 241.99/242.36 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.36 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_finite__UNIV__card__ge__0,axiom, % 241.99/242.36 ! [T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 241.99/242.36 => 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))))) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__bij__eq,axiom, % 241.99/242.36 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.36 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.36 => ( 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)) % 241.99/242.36 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 241.99/242.36 => ( 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)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.36 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 241.99/242.36 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__Diff__subset,axiom, % 241.99/242.36 ! [V_A_2,V_B_2,T_b] : % 241.99/242.36 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.36 => 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)) ) ) ). % 241.99/242.36 % 241.99/242.36 fof(fact_card__Diff__subset__Int,axiom, % 241.99/242.36 ! [V_B_2,V_A_2,T_b] : % 241.99/242.37 ( 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))) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__card__le__card__Diff,axiom, % 241.99/242.37 ! [V_A_2,V_B_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => 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)))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__psubset,axiom, % 241.99/242.37 ! [V_A_2,V_B_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 241.99/242.37 => ( 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))) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_folding__one__idem_Oin__idem,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.37 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__less__Suc,axiom, % 241.99/242.37 ! [V_i_2,V_M_2] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 241.99/242.37 => 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))))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__less,axiom, % 241.99/242.37 ! [V_i_2,V_M_2] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__less__Suc2,axiom, % 241.99/242.37 ! [V_i_2,V_M_2] : % 241.99/242.37 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 241.99/242.37 => 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))))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__insert,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => 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)))))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Diff1__le,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__inj__on__le,axiom, % 241.99/242.37 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 241.99/242.37 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 241.99/242.37 => ( 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)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_inj__on__iff__card__le,axiom, % 241.99/242.37 ! [V_B_2,T_c,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 241.99/242.37 => ( ? [B_f] : % 241.99/242.37 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 241.99/242.37 & 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)) ) % 241.99/242.37 <=> 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Suc__Diff1,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Diff1__less,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Diff2__less,axiom, % 241.99/242.37 ! [V_y_2,V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.37 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_folding__one__idem_Osubset__idem,axiom, % 241.99/242.37 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 241.99/242.37 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 241.99/242.37 => 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) ) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Suc__eq,axiom, % 241.99/242.37 ! [V_k_2,V_A_2,T_b] : % 241.99/242.37 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 241.99/242.37 <=> ? [B_b,B_B] : % 241.99/242.37 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 241.99/242.37 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 241.99/242.37 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 241.99/242.37 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Diff__singleton__if,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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)) ) % 241.99/242.37 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Diff__singleton,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__multicount__gen,axiom, % 241.99/242.37 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 241.99/242.37 => ( ! [B_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 241.99/242.37 => 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) ) % 241.99/242.37 => 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) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Diff__insert,axiom, % 241.99/242.37 ! [V_B_2,V_a_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__strict__mono,axiom, % 241.99/242.37 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 241.99/242.37 => ( ! [B_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 241.99/242.37 => 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))) ) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_finite__conv__nat__seg__image,axiom, % 241.99/242.37 ! [V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 <=> ? [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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__diff1_H,axiom, % 241.99/242.37 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 241.99/242.37 => 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)))))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__UNIV__unit,axiom, % 241.99/242.37 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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_one__reorient,axiom, % 241.99/242.37 ! [V_x_2,T_b] : % 241.99/242.37 ( class_Groups_Oone(T_b) % 241.99/242.37 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 241.99/242.37 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oab__semigroup__add(T_a) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__left__cancel,axiom, % 241.99/242.37 ! [V_c_2,V_b_2,V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Ocancel__semigroup__add(T_b) % 241.99/242.37 => ( 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) % 241.99/242.37 <=> V_b_2 = V_c_2 ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__right__cancel,axiom, % 241.99/242.37 ! [V_c_2,V_a_2,V_b_2,T_b] : % 241.99/242.37 ( class_Groups_Ocancel__semigroup__add(T_b) % 241.99/242.37 => ( 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) % 241.99/242.37 <=> V_b_2 = V_c_2 ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__left__imp__eq,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ocancel__semigroup__add(T_a) % 241.99/242.37 => ( 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) % 241.99/242.37 => V_b = V_c ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__imp__eq,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 241.99/242.37 => ( 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) % 241.99/242.37 => V_b = V_c ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__right__imp__eq,axiom, % 241.99/242.37 ! [V_c,V_a,V_b,T_a] : % 241.99/242.37 ( class_Groups_Ocancel__semigroup__add(T_a) % 241.99/242.37 => ( 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) % 241.99/242.37 => V_b = V_c ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_Suc__eq__plus1,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_Suc__eq__plus1__left,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_less__add__one,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => 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)))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_zero__less__two,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => 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)))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__imp__le__left,axiom, % 241.99/242.37 ! [V_b,V_a,V_c,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 241.99/242.37 => ( 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))) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__imp__le__right,axiom, % 241.99/242.37 ! [V_b,V_c,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 241.99/242.37 => ( 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))) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__mono,axiom, % 241.99/242.37 ! [V_d,V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__left__mono,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__right__mono,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__cancel__left,axiom, % 241.99/242.37 ! [V_b_2,V_a_2,V_c_2,T_b] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__cancel__right,axiom, % 241.99/242.37 ! [V_b_2,V_c_2,V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add_Ocomm__neutral,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_a) % 241.99/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__0__right,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Omonoid__add(T_a) % 241.99/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_double__zero__sym,axiom, % 241.99/242.37 ! [V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.37 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 241.99/242.37 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__0,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_a) % 241.99/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__0__left,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Omonoid__add(T_a) % 241.99/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__imp__less__left,axiom, % 241.99/242.37 ! [V_b,V_a,V_c,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 241.99/242.37 => ( 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))) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__imp__less__right,axiom, % 241.99/242.37 ! [V_b,V_c,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 241.99/242.37 => ( 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))) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__strict__mono,axiom, % 241.99/242.37 ! [V_d,V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__strict__left__mono,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__strict__right__mono,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__cancel__left,axiom, % 241.99/242.37 ! [V_b_2,V_a_2,V_c_2,T_b] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__cancel__right,axiom, % 241.99/242.37 ! [V_b_2,V_c_2,V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__diff__cancel,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__add__cancel,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_one__neq__zero,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Ozero__neq__one(T_a) % 241.99/242.37 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_zero__neq__one,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Ozero__neq__one(T_a) % 241.99/242.37 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_minus__add__distrib,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oab__group__add(T_a) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_minus__add,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__minus__cancel,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_minus__add__cancel,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__eq__self__zero,axiom, % 241.99/242.37 ! [V_n,V_m] : % 241.99/242.37 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 241.99/242.37 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__is__0,axiom, % 241.99/242.37 ! [V_n_2,V_m_2] : % 241.99/242.37 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_Nat_Oadd__0__right,axiom, % 241.99/242.37 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 241.99/242.37 % 241.99/242.37 fof(fact_plus__nat_Oadd__0,axiom, % 241.99/242.37 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__Suc__shift,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__Suc,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__Suc__right,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_termination__basic__simps_I2_J,axiom, % 241.99/242.37 ! [V_y,V_z,V_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_termination__basic__simps_I1_J,axiom, % 241.99/242.37 ! [V_z,V_y,V_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__lessD1,axiom, % 241.99/242.37 ! [V_k,V_j,V_i] : % 241.99/242.37 ( 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)) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_less__add__eq__less,axiom, % 241.99/242.37 ! [V_n,V_m,V_l,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 241.99/242.37 => ( 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) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__mono,axiom, % 241.99/242.37 ! [V_l,V_k,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__mono1,axiom, % 241.99/242.37 ! [V_k,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_trans__less__add2,axiom, % 241.99/242.37 ! [V_m,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_trans__less__add1,axiom, % 241.99/242.37 ! [V_m,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_nat__add__left__cancel__less,axiom, % 241.99/242.37 ! [V_n_2,V_m_2,V_k_2] : % 241.99/242.37 ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_not__add__less2,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_not__add__less1,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_termination__basic__simps_I4_J,axiom, % 241.99/242.37 ! [V_y,V_z,V_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_termination__basic__simps_I3_J,axiom, % 241.99/242.37 ! [V_z,V_y,V_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__leE,axiom, % 241.99/242.37 ! [V_n,V_k,V_m] : % 241.99/242.37 ( 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)) % 241.99/242.37 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 241.99/242.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__leD1,axiom, % 241.99/242.37 ! [V_n,V_k,V_m] : % 241.99/242.37 ( 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)) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__leD2,axiom, % 241.99/242.37 ! [V_n,V_k,V_m] : % 241.99/242.37 ( 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)) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__mono,axiom, % 241.99/242.37 ! [V_l,V_k,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__mono1,axiom, % 241.99/242.37 ! [V_k,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_trans__le__add2,axiom, % 241.99/242.37 ! [V_m,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_trans__le__add1,axiom, % 241.99/242.37 ! [V_m,V_j,V_i] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_nat__add__left__cancel__le,axiom, % 241.99/242.37 ! [V_n_2,V_m_2,V_k_2] : % 241.99/242.37 ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__iff__add,axiom, % 241.99/242.37 ! [V_n_2,V_m_2] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.37 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__add1,axiom, % 241.99/242.37 ! [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))) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__add2,axiom, % 241.99/242.37 ! [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))) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__add__inverse2,axiom, % 241.99/242.37 ! [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 ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__add__inverse,axiom, % 241.99/242.37 ! [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 ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__diff__left,axiom, % 241.99/242.37 ! [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)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__cancel,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__cancel2,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__eq__if,axiom, % 241.99/242.37 ! [V_n,V_m] : % 241.99/242.37 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 241.99/242.37 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 => 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)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__addf,axiom, % 241.99/242.37 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_b) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card_Oinsert,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 241.99/242.37 ! [V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 241.99/242.37 ! [V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__nonneg__nonneg,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__nonneg__eq__0__iff,axiom, % 241.99/242.37 ! [V_y_2,V_x_2,T_b] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_b) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 241.99/242.37 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 241.99/242.37 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 241.99/242.37 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__increasing,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__increasing2,axiom, % 241.99/242.37 ! [V_a,V_b,V_c,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__nonpos__nonpos,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__less__le__mono,axiom, % 241.99/242.37 ! [V_d,V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__le__less__mono,axiom, % 241.99/242.37 ! [V_d,V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_pos__add__strict,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__neg__neg,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__pos__pos,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 241.99/242.37 ! [V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 241.99/242.37 ! [V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_minus__unique,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 241.99/242.37 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_ab__left__minus,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Oab__group__add(T_a) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_left__minus,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_eq__neg__iff__add__eq__0,axiom, % 241.99/242.37 ! [V_b_2,V_a_2,T_b] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_b) % 241.99/242.37 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 241.99/242.37 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_right__minus,axiom, % 241.99/242.37 ! [V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_not__one__le__zero,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => ~ 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_zero__le__one,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_zero__less__one,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_not__one__less__zero,axiom, % 241.99/242.37 ! [T_a] : % 241.99/242.37 ( class_Rings_Olinordered__semidom(T_a) % 241.99/242.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__def,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_ab__diff__minus,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oab__group__add(T_a) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__minus__eq__add,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Ogroup__add(T_a) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_one__is__add,axiom, % 241.99/242.37 ! [V_n_2,V_m_2] : % 241.99/242.37 ( 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) % 241.99/242.37 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 241.99/242.37 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 241.99/242.37 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__is__1,axiom, % 241.99/242.37 ! [V_n_2,V_m_2] : % 241.99/242.37 ( 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)) % 241.99/242.37 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 241.99/242.37 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 241.99/242.37 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 241.99/242.37 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__gr__0,axiom, % 241.99/242.37 ! [V_n_2,V_m_2] : % 241.99/242.37 ( 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))) % 241.99/242.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 241.99/242.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_less__iff__Suc__add,axiom, % 241.99/242.37 ! [V_n_2,V_m_2] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 241.99/242.37 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_less__add__Suc2,axiom, % 241.99/242.37 ! [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)))) ). % 241.99/242.37 % 241.99/242.37 fof(fact_less__add__Suc1,axiom, % 241.99/242.37 ! [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)))) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__add__0,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_One__nat__def,axiom, % 241.99/242.37 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__diff__inverse,axiom, % 241.99/242.37 ! [V_n,V_m] : % 241.99/242.37 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_less__diff__conv,axiom, % 241.99/242.37 ! [V_k_2,V_j_2,V_i_2] : % 241.99/242.37 ( 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))) % 241.99/242.37 <=> 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__diff__right,axiom, % 241.99/242.37 ! [V_i,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__diff__conv,axiom, % 241.99/242.37 ! [V_i_2,V_k_2,V_j_2] : % 241.99/242.37 ( 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)) % 241.99/242.37 <=> 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__add__diff,axiom, % 241.99/242.37 ! [V_m,V_n,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__add__diff__inverse,axiom, % 241.99/242.37 ! [V_m,V_n] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__diff__assoc,axiom, % 241.99/242.37 ! [V_i,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__diff__conv2,axiom, % 241.99/242.37 ! [V_i_2,V_j_2,V_k_2] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> 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)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__add__diff__inverse2,axiom, % 241.99/242.37 ! [V_m,V_n] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_le__imp__diff__is__add,axiom, % 241.99/242.37 ! [V_k_2,V_j_2,V_i_2] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 241.99/242.37 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 241.99/242.37 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__add__assoc,axiom, % 241.99/242.37 ! [V_i,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__diff__assoc2,axiom, % 241.99/242.37 ! [V_i,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__add__assoc2,axiom, % 241.99/242.37 ! [V_i,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__Suc__1,axiom, % 241.99/242.37 ! [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 ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__Suc__eq__diff__pred,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_inj__on__add__nat,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum_Odistrib,axiom, % 241.99/242.37 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => 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)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card_Oinsert__remove,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => 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)))))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__eq__setsum,axiom, % 241.99/242.37 ! [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) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__pos__nonneg,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__nonneg__pos,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__strict__increasing,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__strict__increasing2,axiom, % 241.99/242.37 ! [V_c,V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__neg__nonpos,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_add__nonpos__neg,axiom, % 241.99/242.37 ! [V_b,V_a,T_a] : % 241.99/242.37 ( class_Groups_Oordered__comm__monoid__add(T_a) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card_Oremove,axiom, % 241.99/242.37 ! [V_x_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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)))))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_nat__diff__split__asm,axiom, % 241.99/242.37 ! [V_b_2,V_a_2,V_Pa_2] : % 241.99/242.37 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 241.99/242.37 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 241.99/242.37 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 241.99/242.37 | ? [B_d] : % 241.99/242.37 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 241.99/242.37 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_nat__diff__split,axiom, % 241.99/242.37 ! [V_b_2,V_a_2,V_Pa_2] : % 241.99/242.37 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 241.99/242.37 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 241.99/242.37 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 241.99/242.37 & ! [B_d] : % 241.99/242.37 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 241.99/242.37 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__Suc__diff__eq2,axiom, % 241.99/242.37 ! [V_m,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_diff__Suc__diff__eq1,axiom, % 241.99/242.37 ! [V_m,V_j,V_k] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__eq__1__iff,axiom, % 241.99/242.37 ! [V_f_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( 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) % 241.99/242.37 <=> ? [B_x] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 241.99/242.37 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 241.99/242.37 & ! [B_xa] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 241.99/242.37 => ( B_x != B_xa % 241.99/242.37 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum_Oinsert,axiom, % 241.99/242.37 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__insert,axiom, % 241.99/242.37 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 241.99/242.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__Un__Int,axiom, % 241.99/242.37 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Un__Int,axiom, % 241.99/242.37 ! [V_B_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card_Ounion__inter,axiom, % 241.99/242.37 ! [V_B_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => 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)) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_Suc__diff__1,axiom, % 241.99/242.37 ! [V_n] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 241.99/242.37 => 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 ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_Suc__pred_H,axiom, % 241.99/242.37 ! [V_n] : % 241.99/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 241.99/242.37 => 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))) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum_Oinsert__remove,axiom, % 241.99/242.37 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => 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)))))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__Un__disjoint,axiom, % 241.99/242.37 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => ( 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)) % 241.99/242.37 => 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)) ) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__Un,axiom, % 241.99/242.37 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Oab__group__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => 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))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card__Un__disjoint,axiom, % 241.99/242.37 ! [V_B_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => ( 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)) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__Un__nat,axiom, % 241.99/242.37 ! [V_f_2,V_B_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => 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))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__cases,axiom, % 241.99/242.37 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => 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))))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum_Oremove,axiom, % 241.99/242.37 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 241.99/242.37 => 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)))))) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 241.99/242.37 ! [V_y,V_x,T_a] : % 241.99/242.37 ( class_Rings_Ocomm__ring__1(T_a) % 241.99/242.37 => 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)) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_even__less__0__iff,axiom, % 241.99/242.37 ! [V_a_2,T_b] : % 241.99/242.37 ( class_Rings_Olinordered__idom(T_b) % 241.99/242.37 => ( 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))) % 241.99/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_card_Ounion__inter__neutral,axiom, % 241.99/242.37 ! [V_B_2,V_A_2,T_b] : % 241.99/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 241.99/242.37 => ( ( ? [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))) % 241.99/242.37 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 241.99/242.37 => 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)) ) ) ) ). % 241.99/242.37 % 241.99/242.37 fof(fact_setsum__Un__zero,axiom, % 241.99/242.37 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 241.99/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 241.99/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 241.99/242.37 => ( ! [B_x] : % 241.99/242.37 ( 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))) % 241.99/242.37 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 241.99/242.37 => 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)) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_setsum_Ounion__inter__neutral,axiom, % 242.21/242.37 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.37 ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.37 => ( ! [B_x] : % 242.21/242.37 ( 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))) % 242.21/242.37 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 242.21/242.37 => 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)) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_add__Max__commute,axiom, % 242.21/242.37 ! [V_k_2,V_N_2,T_b] : % 242.21/242.37 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.37 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => 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))))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_add__Min__commute,axiom, % 242.21/242.37 ! [V_k_2,V_N_2,T_b] : % 242.21/242.37 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.37 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => 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))))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_nat__add__commute,axiom, % 242.21/242.37 ! [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) ). % 242.21/242.37 % 242.21/242.37 fof(fact_nat__add__left__commute,axiom, % 242.21/242.37 ! [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)) ). % 242.21/242.37 % 242.21/242.37 fof(fact_nat__add__assoc,axiom, % 242.21/242.37 ! [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)) ). % 242.21/242.37 % 242.21/242.37 fof(fact_nat__add__left__cancel,axiom, % 242.21/242.37 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.37 ( 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) % 242.21/242.37 <=> V_m_2 = V_n_2 ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_nat__add__right__cancel,axiom, % 242.21/242.37 ! [V_n_2,V_k_2,V_m_2] : % 242.21/242.37 ( 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) % 242.21/242.37 <=> V_m_2 = V_n_2 ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_minus__Max__eq__Min,axiom, % 242.21/242.37 ! [V_S_2,T_b] : % 242.21/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.37 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => 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)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_minus__Min__eq__Max,axiom, % 242.21/242.37 ! [V_S_2,T_b] : % 242.21/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.37 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => 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)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Min_Osingleton,axiom, % 242.21/242.37 ! [V_x_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => 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 ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Max_Osingleton,axiom, % 242.21/242.37 ! [V_x_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => 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 ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 242.21/242.37 ! [V_c,V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 242.21/242.37 ! [V_d,V_c,V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 242.21/242.37 ! [V_d,V_c,V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 242.21/242.37 ! [V_c,V_b,V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 242.21/242.37 ! [V_c,V_b,V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 242.21/242.37 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Max__ge,axiom, % 242.21/242.37 ! [V_x_2,V_A_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Min__le,axiom, % 242.21/242.37 ! [V_x_2,V_A_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.37 => 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)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Max__in,axiom, % 242.21/242.37 ! [V_A_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Min__in,axiom, % 242.21/242.37 ! [V_A_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Max__mono,axiom, % 242.21/242.37 ! [V_N_2,V_M_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 242.21/242.37 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.37 => 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))) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Min__antimono,axiom, % 242.21/242.37 ! [V_N_2,V_M_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 242.21/242.37 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.37 => 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))) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_double__eq__0__iff,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Groups_Olinordered__ab__group__add(T_b) % 242.21/242.37 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.37 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_add__0__iff,axiom, % 242.21/242.37 ! [V_a_2,V_b_2,T_b] : % 242.21/242.37 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 242.21/242.37 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 242.21/242.37 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__odd__less__0,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => ( 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))) % 242.21/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_com_Osize_I4_J,axiom, % 242.21/242.37 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.37 % 242.21/242.37 fof(fact_card__Plus__conv__if,axiom, % 242.21/242.37 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.37 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 242.21/242.37 => 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)) ) % 242.21/242.37 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 242.21/242.37 => 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) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_com_Osize_I12_J,axiom, % 242.21/242.37 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.37 % 242.21/242.37 fof(fact_ex__least__nat__less,axiom, % 242.21/242.37 ! [V_n_2,V_Pa_2] : % 242.21/242.37 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 242.21/242.37 => ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 242.21/242.37 => ? [B_k] : % 242.21/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 242.21/242.37 & ! [B_i] : % 242.21/242.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 242.21/242.37 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 242.21/242.37 & 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)))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__if,axiom, % 242.21/242.37 ! [V_x,T_a] : % 242.21/242.37 ( class_Groups_Osgn__if(T_a) % 242.21/242.37 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.37 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 242.21/242.37 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.37 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 242.21/242.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.37 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__1__neg,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.37 => ( 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)) % 242.21/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__sgn,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__0__0,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.37 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.37 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn0,axiom, % 242.21/242.37 ! [T_a] : % 242.21/242.37 ( class_Groups_Osgn__if(T_a) % 242.21/242.37 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__0,axiom, % 242.21/242.37 ! [T_b] : % 242.21/242.37 ( class_Rings_Oring__1(T_b) % 242.21/242.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__add,axiom, % 242.21/242.37 ! [V_b_2,V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Oring__1(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__diff,axiom, % 242.21/242.37 ! [V_b_2,V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Oring__1(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__1,axiom, % 242.21/242.37 ! [T_b] : % 242.21/242.37 ( class_Rings_Oring__1(T_b) % 242.21/242.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__minus,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Oring__1(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => 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))) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__less,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.37 => ( 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))) % 242.21/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__greater,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.37 => ( 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))) % 242.21/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_com_Osize_I15_J,axiom, % 242.21/242.37 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.37 % 242.21/242.37 fof(fact_com_Osize_I9_J,axiom, % 242.21/242.37 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.37 % 242.21/242.37 fof(fact_com_Osize_I7_J,axiom, % 242.21/242.37 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.37 % 242.21/242.37 fof(fact_com_Osize_I1_J,axiom, % 242.21/242.37 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__double__eq__0__iff,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Int_Oring__char__0(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.37 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_finite__PlusD_I2_J,axiom, % 242.21/242.37 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.37 ( 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))) % 242.21/242.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_finite__PlusD_I1_J,axiom, % 242.21/242.37 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.37 ( 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))) % 242.21/242.37 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_finite__Plus,axiom, % 242.21/242.37 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 242.21/242.37 => 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))) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_finite__Plus__iff,axiom, % 242.21/242.37 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.37 ( 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))) % 242.21/242.37 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__pos,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.37 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__1__pos,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.37 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 242.21/242.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_card__Plus,axiom, % 242.21/242.37 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 242.21/242.37 => 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)) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Ints__odd__nonzero,axiom, % 242.21/242.37 ! [V_a_2,T_b] : % 242.21/242.37 ( class_Int_Oring__char__0(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.37 => 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) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_sgn__neg,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.37 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_UNIV__Plus__UNIV,axiom, % 242.21/242.37 ! [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)) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Plus__eq__empty__conv,axiom, % 242.21/242.37 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.37 ( 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)) % 242.21/242.37 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.37 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_card__def,axiom, % 242.21/242.37 ! [V_A_2,T_b] : % 242.21/242.37 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => 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) ) % 242.21/242.37 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_card_Oeq__fold__g,axiom, % 242.21/242.37 ! [V_A_2,T_b] : % 242.21/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_image__eq__fold__image,axiom, % 242.21/242.37 ! [V_f_2,T_c,V_A_2,T_b] : % 242.21/242.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Min_Oremove,axiom, % 242.21/242.37 ! [V_x_2,V_A_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.37 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.37 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 242.21/242.37 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.37 => 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)))))) ) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Max_Oremove,axiom, % 242.21/242.37 ! [V_x_2,V_A_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.37 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.37 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 242.21/242.37 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.37 => 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)))))) ) ) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_minus__min__eq__max,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Groups_Olinordered__ab__group__add(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_minus__max__eq__min,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Groups_Olinordered__ab__group__add(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Odistrib__inf__le,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)))) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Odistrib__sup__le,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)))) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Min_Oidem,axiom, % 242.21/242.37 ! [V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_Max_Oidem,axiom, % 242.21/242.37 ! [V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 242.21/242.37 ! [V_x,V_z,V_y,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__inf__distrib2,axiom, % 242.21/242.37 ! [V_x,V_z,V_y,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__assoc,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf_Oassoc,axiom, % 242.21/242.37 ! [V_c,V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__assoc,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup_Oassoc,axiom, % 242.21/242.37 ! [V_c,V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__inf__distrib1,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__left__commute,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 242.21/242.37 ! [V_c,V_a,V_b,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__left__commute,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup_Oleft__commute,axiom, % 242.21/242.37 ! [V_c,V_a,V_b,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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)) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__left__idem,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 242.21/242.37 ! [V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__left__idem,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup_Oleft__idem,axiom, % 242.21/242.37 ! [V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__sup__absorb,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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 ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__inf__absorb,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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 ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__commute,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf_Ocommute,axiom, % 242.21/242.37 ! [V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__commute,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup_Ocommute,axiom, % 242.21/242.37 ! [V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf_Oidem,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup_Oidem,axiom, % 242.21/242.37 ! [V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__supE,axiom, % 242.21/242.37 ! [V_x,V_b,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( 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)) % 242.21/242.37 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 242.21/242.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__mono,axiom, % 242.21/242.37 ! [V_d,V_b,V_c,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__least,axiom, % 242.21/242.37 ! [V_z,V_x,V_y,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 242.21/242.37 => 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)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__supI,axiom, % 242.21/242.37 ! [V_b,V_x,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 242.21/242.37 => 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)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__absorb1,axiom, % 242.21/242.37 ! [V_x,V_y,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Osup__absorb2,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__supI2,axiom, % 242.21/242.37 ! [V_a,V_b,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 242.21/242.37 => 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))) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__supI1,axiom, % 242.21/242.37 ! [V_b,V_a,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 242.21/242.37 => 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))) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__sup__iff,axiom, % 242.21/242.37 ! [V_z_2,V_y_2,V_x_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( 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)) % 242.21/242.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 242.21/242.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_le__max__iff__disj,axiom, % 242.21/242.37 ! [V_y_2,V_x_2,V_z_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( 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))) % 242.21/242.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 242.21/242.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__iff__sup,axiom, % 242.21/242.37 ! [V_y_2,V_x_2,T_b] : % 242.21/242.37 ( class_Orderings_Olinorder(T_b) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 242.21/242.37 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_le__maxI2,axiom, % 242.21/242.37 ! [V_x,V_y,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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))) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_le__maxI1,axiom, % 242.21/242.37 ! [V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => 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))) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__infE,axiom, % 242.21/242.37 ! [V_b,V_a,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( 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))) % 242.21/242.37 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 242.21/242.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__mono,axiom, % 242.21/242.37 ! [V_d,V_b,V_c,V_a,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__greatest,axiom, % 242.21/242.37 ! [V_z,V_y,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Ole__infI,axiom, % 242.21/242.37 ! [V_b,V_a,V_x,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 242.21/242.37 => 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))) ) ) ) ). % 242.21/242.37 % 242.21/242.37 fof(fact_min__max_Oinf__absorb2,axiom, % 242.21/242.37 ! [V_x,V_y,T_a] : % 242.21/242.37 ( class_Orderings_Olinorder(T_a) % 242.21/242.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 242.21/242.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oinf__absorb1,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 242.21/242.38 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ole__infI2,axiom, % 242.21/242.38 ! [V_a,V_x,V_b,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 242.21/242.38 => 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ole__infI1,axiom, % 242.21/242.38 ! [V_b,V_x,V_a,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 242.21/242.38 => 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__le__iff__disj,axiom, % 242.21/242.38 ! [V_z_2,V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( 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)) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 242.21/242.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ole__inf__iff,axiom, % 242.21/242.38 ! [V_z_2,V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ole__iff__inf,axiom, % 242.21/242.38 ! [V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 242.21/242.38 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oinf__le2,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oinf__le1,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oless__supI2,axiom, % 242.21/242.38 ! [V_a,V_b,V_x,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oless__supI1,axiom, % 242.21/242.38 ! [V_b,V_a,V_x,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__less__iff__conj,axiom, % 242.21/242.38 ! [V_z_2,V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( 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)) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_less__max__iff__disj,axiom, % 242.21/242.38 ! [V_y_2,V_x_2,V_z_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 242.21/242.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oless__infI2,axiom, % 242.21/242.38 ! [V_a,V_x,V_b,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 242.21/242.38 => 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oless__infI1,axiom, % 242.21/242.38 ! [V_b,V_x,V_a,T_a] : % 242.21/242.38 ( class_Orderings_Olinorder(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 242.21/242.38 => 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__less__iff__disj,axiom, % 242.21/242.38 ! [V_z_2,V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( 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)) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 242.21/242.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__less__iff__conj,axiom, % 242.21/242.38 ! [V_y_2,V_x_2,V_z_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__add__distrib__left,axiom, % 242.21/242.38 ! [V_z,V_y,V_x,T_a] : % 242.21/242.38 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__add__distrib__left,axiom, % 242.21/242.38 ! [V_z,V_y,V_x,T_a] : % 242.21/242.38 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__diff__distrib__left,axiom, % 242.21/242.38 ! [V_z,V_y,V_x,T_a] : % 242.21/242.38 ( class_Groups_Oordered__ab__group__add(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__diff__distrib__left,axiom, % 242.21/242.38 ! [V_z,V_y,V_x,T_a] : % 242.21/242.38 ( class_Groups_Oordered__ab__group__add(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sup__max,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( ( class_Lattices_Osemilattice__sup(T_b) % 242.21/242.38 & class_Orderings_Olinorder(T_b) ) % 242.21/242.38 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__0L,axiom, % 242.21/242.38 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__0R,axiom, % 242.21/242.38 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 242.21/242.38 % 242.21/242.38 fof(fact_inf__min,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.38 & class_Orderings_Olinorder(T_b) ) % 242.21/242.38 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__0L,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__0R,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__Suc__Suc,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__Suc__Suc,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__diff,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold__image__empty,axiom, % 242.21/242.38 ! [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 ). % 242.21/242.38 % 242.21/242.38 fof(fact_nat__minus__add__max,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 242.21/242.38 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_folding__image_Oeq__fold,axiom, % 242.21/242.38 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__Suc2,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__Suc1,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Oin__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Oin__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__Suc1,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__Suc2,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max__insert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min__insert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Osubset__idem,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Osubset__idem,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max__Un,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min__Un,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_setsum_OF__eq,axiom, % 242.21/242.38 ! [V_g_2,V_A_2,T_b,T_c] : % 242.21/242.38 ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.38 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) % 242.21/242.38 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_setsum_Oeq__fold,axiom, % 242.21/242.38 ! [V_g_2,V_A_2,T_b,T_c] : % 242.21/242.38 ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Oinsert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Oinsert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Oinsert__remove,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 242.21/242.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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)))))) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Ounion__inter,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Ounion__disjoint,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Oinsert__remove,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 242.21/242.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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)))))) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Ounion__inter,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Ounion__disjoint,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_dual__min,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_dual__max,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__monoid__big_OF__eq,axiom, % 242.21/242.38 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 242.21/242.38 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.38 => 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) ) % 242.21/242.38 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.38 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_max__ord__max,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Orderings_Oord(T_b) % 242.21/242.38 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__ord__min,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Orderings_Oord(T_b) % 242.21/242.38 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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))))))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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))))))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_inf__nat__def,axiom, % 242.21/242.38 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sup__nat__def,axiom, % 242.21/242.38 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__le__Sup,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 242.21/242.38 ! [V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => 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 ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 242.21/242.38 ! [V_x_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => 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 ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.38 => 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) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 242.21/242.38 ! [V_a_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.38 => 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 ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Osup__Inf__absorb,axiom, % 242.21/242.38 ! [V_a_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.38 => 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 ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__monoid__big_Oinfinite,axiom, % 242.21/242.38 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 242.21/242.38 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.38 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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 ) % 242.21/242.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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)))))) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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 ) % 242.21/242.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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)))))) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Oremove,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 242.21/242.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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)))))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Oremove,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 242.21/242.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 242.21/242.38 => 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)))))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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))))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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))))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( ! [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)))))) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( ! [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)))))) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Oclosed,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( ! [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)))))) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Oclosed,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( ! [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)))))) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 242.21/242.38 ! [V_N_2,V_h_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( ! [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)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 242.21/242.38 ! [V_N_2,V_h_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( ! [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)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_Ohom__commute,axiom, % 242.21/242.38 ! [V_N_2,V_h_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( ! [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)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_Ohom__commute,axiom, % 242.21/242.38 ! [V_N_2,V_h_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( ! [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)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold__Un__disjoint,axiom, % 242.21/242.38 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__antimono,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => 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))) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_folding__one__idem_Ohom__commute,axiom, % 242.21/242.38 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 242.21/242.38 => ( ! [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)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem__remove,axiom, % 242.21/242.38 ! [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))))) ). % 242.21/242.38 % 242.21/242.38 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 242.21/242.38 => ( ! [B_x] : % 242.21/242.38 ( 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))) % 242.21/242.38 => hAPP(V_g_2,B_x) = V_z_2 ) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 242.21/242.38 ! [V_ry,V_rx,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 242.21/242.38 ! [V_ry,V_rx,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 242.21/242.38 ! [V_rx,V_ly,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 242.21/242.38 ! [V_rx,V_ly,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 242.21/242.38 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 242.21/242.38 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 242.21/242.38 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Groups_Oab__semigroup__mult(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_times_Oidem,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__idem,axiom, % 242.21/242.38 ! [V_x,T_a] : % 242.21/242.38 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__left__idem,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 242.21/242.38 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 242.21/242.38 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 242.21/242.38 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__zero__left,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Omult__zero(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__zero__right,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Omult__zero(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__eq__0__iff,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oring__no__zero__divisors(T_b) % 242.21/242.38 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.38 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.38 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_no__zero__divisors,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ono__zero__divisors(T_a) % 242.21/242.38 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.38 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_divisors__zero,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ono__zero__divisors(T_a) % 242.21/242.38 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.38 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.38 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__class_Odistrib,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_combine__common__factor,axiom, % 242.21/242.38 ! [V_c,V_b,V_e,V_a,T_a] : % 242.21/242.38 ( class_Rings_Osemiring(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 242.21/242.38 ! [V_z,V_y,V_x,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_crossproduct__noteq,axiom, % 242.21/242.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.38 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 242.21/242.38 => ( ( V_a_2 != V_b_2 % 242.21/242.38 & V_c_2 != V_d_2 ) % 242.21/242.38 <=> 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 242.21/242.38 ! [V_b,V_m,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_crossproduct__eq,axiom, % 242.21/242.38 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 242.21/242.38 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 242.21/242.38 => ( 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)) % 242.21/242.38 <=> ( V_w_2 = V_x_2 % 242.21/242.38 | V_y_2 = V_z_2 ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__1__left,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__1,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Groups_Ocomm__monoid__mult(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__1__right,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult_Ocomm__neutral,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Groups_Ocomm__monoid__mult(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__cancel2,axiom, % 242.21/242.38 ! [V_n_2,V_k_2,V_m_2] : % 242.21/242.38 ( 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) % 242.21/242.38 <=> ( V_m_2 = V_n_2 % 242.21/242.38 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__cancel1,axiom, % 242.21/242.38 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.38 ( 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) % 242.21/242.38 <=> ( V_m_2 = V_n_2 % 242.21/242.38 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__is__0,axiom, % 242.21/242.38 ! [V_n_2,V_m_2] : % 242.21/242.38 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.38 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.38 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__0__right,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__0,axiom, % 242.21/242.38 ! [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) ). % 242.21/242.38 % 242.21/242.38 fof(fact_square__eq__iff,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oidom(T_b) % 242.21/242.38 => ( 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) % 242.21/242.38 <=> ( V_a_2 = V_b_2 % 242.21/242.38 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_minus__mult__minus,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oring(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_minus__mult__commute,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oring(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_minus__mult__left,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oring(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_minus__mult__right,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oring(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Suc__mult__cancel1,axiom, % 242.21/242.38 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.38 ( 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) % 242.21/242.38 <=> V_m_2 = V_n_2 ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_add__mult__distrib,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_add__mult__distrib2,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__mono,axiom, % 242.21/242.38 ! [V_l,V_k,V_j,V_i] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__mono2,axiom, % 242.21/242.38 ! [V_k,V_j,V_i] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.21/242.38 => 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))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__mono1,axiom, % 242.21/242.38 ! [V_k,V_j,V_i] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.21/242.38 => 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))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_le__cube,axiom, % 242.21/242.38 ! [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)))) ). % 242.21/242.38 % 242.21/242.38 fof(fact_le__square,axiom, % 242.21/242.38 ! [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))) ). % 242.21/242.38 % 242.21/242.38 fof(fact_diff__mult__distrib2,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_diff__mult__distrib,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_nat__mult__1,axiom, % 242.21/242.38 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 242.21/242.38 % 242.21/242.38 fof(fact_nat__1__eq__mult__iff,axiom, % 242.21/242.38 ! [V_n_2,V_m_2] : % 242.21/242.38 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 242.21/242.38 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 242.21/242.38 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_nat__mult__1__right,axiom, % 242.21/242.38 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 242.21/242.38 % 242.21/242.38 fof(fact_nat__mult__eq__1__iff,axiom, % 242.21/242.38 ! [V_n_2,V_m_2] : % 242.21/242.38 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 242.21/242.38 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 242.21/242.38 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sgn__times,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.38 => 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)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__insert__idem,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__Un2,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => 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)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_setsum__right__distrib,axiom, % 242.21/242.38 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 242.21/242.38 ( class_Rings_Osemiring__0(T_b) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_setsum__left__distrib,axiom, % 242.21/242.38 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( class_Rings_Osemiring__0(T_b) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_setsum__product,axiom, % 242.21/242.38 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( class_Rings_Osemiring__0(T_b) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem__insert,axiom, % 242.21/242.38 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem__sup,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Lattices_Osemilattice__sup(T_b) % 242.21/242.38 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__insert,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem__inf,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.38 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_zero__le__square,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring(T_a) % 242.21/242.38 => 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))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_zero__le__mult__iff,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 242.21/242.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__0__iff,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 242.21/242.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__nonneg__nonneg,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__cancel__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__nonneg__nonpos,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__cancel__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__nonneg__nonpos2,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__cancel__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__nonpos__nonneg,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__cancel__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__nonpos__nonpos,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__right__mono,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__left__mono,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__mult__left__mono,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__comm__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__right__mono__neg,axiom, % 242.21/242.38 ! [V_c,V_a,V_b,T_a] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__left__mono__neg,axiom, % 242.21/242.38 ! [V_c,V_a,V_b,T_a] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__mono_H,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__mono,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__semiring(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_split__mult__pos__le,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_a) % 242.21/242.38 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 242.21/242.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_split__mult__neg__le,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Oordered__cancel__semiring(T_a) % 242.21/242.38 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 242.21/242.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__strict__left__mono__neg,axiom, % 242.21/242.38 ! [V_c,V_a,V_b,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__strict__right__mono__neg,axiom, % 242.21/242.38 ! [V_c,V_a,V_b,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__mult__strict__left__mono,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__strict__left__mono,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__strict__right__mono,axiom, % 242.21/242.38 ! [V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__neg__neg,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__neg__pos,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__cancel__left__neg,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_zero__less__mult__pos2,axiom, % 242.21/242.38 ! [V_a,V_b,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_zero__less__mult__pos,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__pos__neg2,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__pos__neg,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__pos__pos,axiom, % 242.21/242.38 ! [V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__cancel__left__pos,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__cancel__left__disj,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 242.21/242.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__cancel__right__disj,axiom, % 242.21/242.38 ! [V_b_2,V_c_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 242.21/242.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_not__square__less__zero,axiom, % 242.21/242.38 ! [V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring(T_a) % 242.21/242.38 => ~ 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))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 242.21/242.38 ! [V_x_2,V_f_2,T_c,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sum__squares__eq__zero__iff,axiom, % 242.21/242.38 ! [V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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) % 242.21/242.38 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.38 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_add__scale__eq__noteq,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 242.21/242.38 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 242.21/242.38 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.38 => ( ( V_a = V_b % 242.21/242.38 & V_c != V_d ) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__Un,axiom, % 242.21/242.38 ! [V_B_2,V_A_2,T_b] : % 242.21/242.38 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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)) ) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 242.21/242.38 ! [T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_less__1__mult,axiom, % 242.21/242.38 ! [V_n,V_m,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_eq__add__iff1,axiom, % 242.21/242.38 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oring(T_b) % 242.21/242.38 => ( 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) % 242.21/242.38 <=> 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 ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_eq__add__iff2,axiom, % 242.21/242.38 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oring(T_b) % 242.21/242.38 => ( 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) % 242.21/242.38 <=> 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 242.21/242.38 ! [V_m,V_a,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 242.21/242.38 ! [V_a,V_m,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 242.21/242.38 ! [V_m,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_square__eq__1__iff,axiom, % 242.21/242.38 ! [V_x_2,T_b] : % 242.21/242.38 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 242.21/242.38 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 242.21/242.38 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 242.21/242.38 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 242.21/242.38 ! [V_x,T_a] : % 242.21/242.38 ( class_Rings_Ocomm__ring__1(T_a) % 242.21/242.38 => 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) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__eq__1__iff,axiom, % 242.21/242.38 ! [V_n_2,V_m_2] : % 242.21/242.38 ( 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)) % 242.21/242.38 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 242.21/242.38 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_nat__0__less__mult__iff,axiom, % 242.21/242.38 ! [V_n_2,V_m_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__cancel1,axiom, % 242.21/242.38 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__cancel2,axiom, % 242.21/242.38 ! [V_n_2,V_k_2,V_m_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__mono1,axiom, % 242.21/242.38 ! [V_k,V_j,V_i] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__mono2,axiom, % 242.21/242.38 ! [V_k,V_j,V_i] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Suc__mult__less__cancel1,axiom, % 242.21/242.38 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__Suc,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__Suc__right,axiom, % 242.21/242.38 ! [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)) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Suc__mult__le__cancel1,axiom, % 242.21/242.38 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__eq__self__implies__10,axiom, % 242.21/242.38 ! [V_n,V_m] : % 242.21/242.38 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 242.21/242.38 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 242.21/242.38 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Ints__mult,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oring__1(T_b) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.38 => 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))) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__singleton,axiom, % 242.21/242.38 ! [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 ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__singleton__def,axiom, % 242.21/242.38 ! [V_a_2,V_f_2,T_b,V_g_2] : % 242.21/242.38 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 242.21/242.38 => 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 ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_folding__one_Oeq__fold,axiom, % 242.21/242.38 ! [V_A_2,V_F_2,V_f_2,T_b] : % 242.21/242.38 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__cancel__left__pos,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__cancel__left__neg,axiom, % 242.21/242.38 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__strict__mono,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__strict__mono_H,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__le__imp__less,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__less__imp__less,axiom, % 242.21/242.38 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => 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))) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__right__less__imp__less,axiom, % 242.21/242.38 ! [V_b,V_c,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__imp__less__right,axiom, % 242.21/242.38 ! [V_b,V_c,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__left__less__imp__less,axiom, % 242.21/242.38 ! [V_b,V_a,V_c,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__less__imp__less__left,axiom, % 242.21/242.38 ! [V_b,V_a,V_c,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__right__le__imp__le,axiom, % 242.21/242.38 ! [V_b,V_c,V_a,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__left__le__imp__le,axiom, % 242.21/242.38 ! [V_b,V_a,V_c,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__strict(T_a) % 242.21/242.38 => ( 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))) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sum__squares__ge__zero,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring(T_a) % 242.21/242.38 => 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)))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sum__squares__le__zero__iff,axiom, % 242.21/242.38 ! [V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.38 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_not__sum__squares__lt__zero,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__ring(T_a) % 242.21/242.38 => ~ 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))) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_sum__squares__gt__zero__iff,axiom, % 242.21/242.38 ! [V_y_2,V_x_2,T_b] : % 242.21/242.38 ( class_Rings_Olinordered__ring__strict(T_b) % 242.21/242.38 => ( 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)))) % 242.21/242.38 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.38 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__right__le__one__le,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__left__le__one__le,axiom, % 242.21/242.38 ! [V_y,V_x,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.38 => 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)) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_le__add__iff2,axiom, % 242.21/242.38 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_le__add__iff1,axiom, % 242.21/242.38 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_less__add__iff1,axiom, % 242.21/242.38 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_less__add__iff2,axiom, % 242.21/242.38 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 242.21/242.38 ( class_Rings_Oordered__ring(T_b) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_n__less__m__mult__n,axiom, % 242.21/242.38 ! [V_m,V_n] : % 242.21/242.38 ( 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)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_n__less__n__mult__m,axiom, % 242.21/242.38 ! [V_m,V_n] : % 242.21/242.38 ( 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)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_one__less__mult,axiom, % 242.21/242.38 ! [V_m,V_n] : % 242.21/242.38 ( 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)) % 242.21/242.38 => ( 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)) % 242.21/242.38 => 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))) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_one__le__mult__iff,axiom, % 242.21/242.38 ! [V_n_2,V_m_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> ( 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)) % 242.21/242.38 & 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__cancel2,axiom, % 242.21/242.38 ! [V_n_2,V_k_2,V_m_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__le__cancel1,axiom, % 242.21/242.38 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.38 ( 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))) % 242.21/242.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold__image__distrib,axiom, % 242.21/242.38 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 242.21/242.38 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Sup__fin_OF__eq,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Lattices_Olattice(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Inf__fin_OF__eq,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Lattices_Olattice(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Min_OF__eq,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_Max_OF__eq,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 242.21/242.38 ! [V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => 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) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_convex__bound__le,axiom, % 242.21/242.38 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 242.21/242.38 ( class_Rings_Olinordered__semiring__1(T_a) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 242.21/242.38 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 242.21/242.38 => 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)) ) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold__image__insert,axiom, % 242.21/242.38 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 242.21/242.38 ( class_Groups_Oab__semigroup__mult(T_c) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_mult__eq__if,axiom, % 242.21/242.38 ! [V_n,V_m] : % 242.21/242.38 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.21/242.38 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.38 => 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)) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__belowI,axiom, % 242.21/242.38 ! [V_a_2,V_A_2,T_b] : % 242.21/242.38 ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_below__fold1__iff,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ! [B_x] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Ofold1__belowI,axiom, % 242.21/242.38 ! [V_a_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.38 => 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)) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_min__max_Obelow__fold1__iff,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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))) % 242.21/242.38 <=> ! [B_x] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_fold1__below__iff,axiom, % 242.21/242.38 ! [V_x_2,V_A_2,T_b] : % 242.21/242.38 ( class_Orderings_Olinorder(T_b) % 242.21/242.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.38 => ( 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)) % 242.21/242.38 <=> ? [B_x] : % 242.21/242.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 242.21/242.38 % 242.21/242.38 fof(fact_strict__below__fold1__iff,axiom, % 242.21/242.39 ! [V_x_2,V_A_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> ! [B_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold1__strict__below__iff,axiom, % 242.21/242.39 ! [V_x_2,V_A_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.39 => ( 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)) % 242.21/242.39 <=> ? [B_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_convex__bound__lt,axiom, % 242.21/242.39 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 242.21/242.39 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 242.21/242.39 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 242.21/242.39 => 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)) ) ) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__image__Un__Int,axiom, % 242.21/242.39 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.39 => 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))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__image__reindex,axiom, % 242.21/242.39 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 242.21/242.39 ( class_Groups_Oab__semigroup__mult(T_d) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__less__add__iff1,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__less__add__iff2,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_semilattice__big_OF__eq,axiom, % 242.21/242.39 ! [V_A_2,V_F_2,V_f_2,T_b] : % 242.21/242.39 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__eq__add__iff2,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__diff__add__eq2,axiom, % 242.21/242.39 ! [V_n,V_m,V_u,V_j,V_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__le__add__iff2,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__mult__commute,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__mult__assoc,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__mult__eq__cancel__disj,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.39 ( 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) % 242.21/242.39 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.39 | V_m_2 = V_n_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_left__add__mult__distrib,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__mult__less__cancel1,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__mult__eq__cancel1,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> V_m_2 = V_n_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__mult__le__cancel1,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_k_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__le__add__iff1,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__diff__add__eq1,axiom, % 242.21/242.39 ! [V_n,V_m,V_u,V_i,V_j] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 242.21/242.39 => 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__eq__add__iff1,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> 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 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__multicount,axiom, % 242.21/242.39 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 242.21/242.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 242.21/242.39 => ( ! [B_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 242.21/242.39 => 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 ) % 242.21/242.39 => 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)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__image__Un__one,axiom, % 242.21/242.39 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 242.21/242.39 => ( ! [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold1__in,axiom, % 242.21/242.39 ! [V_A_2,T_b] : % 242.21/242.39 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.39 => ( ! [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)))))) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_arith__series__nat,axiom, % 242.21/242.39 ! [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)))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_hom__fold1__commute,axiom, % 242.21/242.39 ! [V_N_2,V_h_2,T_b] : % 242.21/242.39 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 242.21/242.39 => ( ! [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)) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 242.21/242.39 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__graph__permute__diff,axiom, % 242.21/242.39 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 242.21/242.39 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__lessThan,axiom, % 242.21/242.39 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__eq__iff,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 242.21/242.39 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__0,axiom, % 242.21/242.39 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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__Suc,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__graph_Oequations_I1_J,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__graph_OemptyI,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_empty__fold__graphE,axiom, % 242.21/242.39 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.39 ( 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)) % 242.21/242.39 => V_x_2 = V_z_2 ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__graph__imp__finite,axiom, % 242.21/242.39 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.39 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 242.21/242.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_card__lessThan,axiom, % 242.21/242.39 ! [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 ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__graph_OinsertI,axiom, % 242.21/242.39 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 242.21/242.39 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__lessThan__Suc,axiom, % 242.21/242.39 ! [V_n_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__iff,axiom, % 242.21/242.39 ! [V_k_2,V_i_2,T_b] : % 242.21/242.39 ( class_Orderings_Oord(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__subset__iff,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__strict__subset__iff,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold__graph__insert__swap,axiom, % 242.21/242.39 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 242.21/242.39 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 242.21/242.39 => 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))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_single__Diff__lessThan,axiom, % 242.21/242.39 ! [V_k_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Diff1__fold__graph,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.39 ( 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)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold1Set_Ointros,axiom, % 242.21/242.39 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 242.21/242.39 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 242.21/242.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_arith__series__general,axiom, % 242.21/242.39 ! [V_n_2,V_d_2,V_a_2,T_b] : % 242.21/242.39 ( class_Rings_Ocomm__semiring__1(T_b) % 242.21/242.39 => 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)))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_sum__diff__distrib,axiom, % 242.21/242.39 ! [V_n_2,V_Pa_2,V_Qa_2] : % 242.21/242.39 ( ! [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))) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__natinterval__difff,axiom, % 242.21/242.39 ! [V_f_2,V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Groups_Oab__group__add(T_b) % 242.21/242.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => 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)))) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I2_J,axiom, % 242.21/242.39 ! [V_u_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_pigeonhole__infinite,axiom, % 242.21/242.39 ! [V_f_2,T_c,V_A_2,T_b] : % 242.21/242.39 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 242.21/242.39 => ? [B_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.39 & ~ 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)))))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_negative__zless,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__atMost,axiom, % 242.21/242.39 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__atLeastAtMost,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atMost__eq__iff,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 242.21/242.39 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeast0AtMost,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__eq__iff,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Nat_Osemiring__char__0(T_b) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> V_m_2 = V_n_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__zle__neg,axiom, % 242.21/242.39 ! [V_m_2,V_n_2] : % 242.21/242.39 ( 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)))) % 242.21/242.39 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.39 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_negative__eq__positive,axiom, % 242.21/242.39 ! [V_m_2,V_n_2] : % 242.21/242.39 ( 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) % 242.21/242.39 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.39 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__le__0__conv,axiom, % 242.21/242.39 ! [V_n_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__0,axiom, % 242.21/242.39 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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__eq__0__conv,axiom, % 242.21/242.39 ! [V_n_2] : % 242.21/242.39 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.39 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zless__iff__Suc__zadd,axiom, % 242.21/242.39 ! [V_z_2,V_w_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 242.21/242.39 <=> ? [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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__Suc,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_not__zle__0__negative,axiom, % 242.21/242.39 ! [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))))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_negative__zless__0,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zless__int,axiom, % 242.21/242.39 ! [V_n_2,V_m_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__int__left,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__int,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__Suc__atLeastAtMost,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__int,axiom, % 242.21/242.39 ! [V_n_2,V_m_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__mult,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__int,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__1,axiom, % 242.21/242.39 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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_inj__int,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Int__atLeastAtMostL1,axiom, % 242.21/242.39 ! [V_d_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Int__atLeastAtMostR1,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atMost__0,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atMost__Suc,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__add__atLeastAtMost,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__setsum,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I10_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__Suc0__eq__1,axiom, % 242.21/242.39 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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zero__less__int__conv,axiom, % 242.21/242.39 ! [V_n_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__zless__mono2__lemma,axiom, % 242.21/242.39 ! [V_k,V_j,V_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__0__le__iff,axiom, % 242.21/242.39 ! [V_n,T_a] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zero__le__imp__of__nat,axiom, % 242.21/242.39 ! [V_m,T_a] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastAtMostSuc__conv,axiom, % 242.21/242.39 ! [V_n_2,V_m_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zdiff__int,axiom, % 242.21/242.39 ! [V_m,V_n] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__less__0__iff,axiom, % 242.21/242.39 ! [V_m,T_a] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.39 => ~ 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold1Set__nonempty,axiom, % 242.21/242.39 ! [V_x_2,V_A_2,V_f_2,T_b] : % 242.21/242.39 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 242.21/242.39 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_empty__fold1SetE,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__0,axiom, % 242.21/242.39 ! [T_a] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_a) % 242.21/242.39 => 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__less__iff,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_less__imp__of__nat__less,axiom, % 242.21/242.39 ! [V_n,V_m,T_a] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__less__imp__less,axiom, % 242.21/242.39 ! [V_n,V_m,T_a] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.39 => ( 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))) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__le__iff,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__add,axiom, % 242.21/242.39 ! [V_n,V_m,T_a] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_a) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__mult,axiom, % 242.21/242.39 ! [V_n,V_m,T_a] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_a) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__1,axiom, % 242.21/242.39 ! [T_a] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_a) % 242.21/242.39 => 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Ints__of__nat,axiom, % 242.21/242.39 ! [V_n_2,T_b] : % 242.21/242.39 ( class_Rings_Oring__1(T_b) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastatMost__empty__iff,axiom, % 242.21/242.39 ! [V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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)) % 242.21/242.39 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastatMost__empty__iff2,axiom, % 242.21/242.39 ! [V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastatMost__empty,axiom, % 242.21/242.39 ! [V_a_2,V_b_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastatMost__subset__iff,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 242.21/242.39 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 242.21/242.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastAtMost__singleton_H,axiom, % 242.21/242.39 ! [V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( V_a_2 = V_b_2 % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastAtMost__singleton__iff,axiom, % 242.21/242.39 ! [V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> ( V_a_2 = V_b_2 % 242.21/242.39 & V_b_2 = V_c_2 ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastAtMost__singleton,axiom, % 242.21/242.39 ! [V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__uminus__atLeastAtMost,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 242.21/242.39 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_gauss__sum,axiom, % 242.21/242.39 ! [V_n_2,T_b] : % 242.21/242.39 ( class_Rings_Ocomm__semiring__1(T_b) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__setsum,axiom, % 242.21/242.39 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_b) % 242.21/242.39 => 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_inj__of__nat,axiom, % 242.21/242.39 ! [T_b] : % 242.21/242.39 ( class_Nat_Osemiring__char__0(T_b) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_lessThan__Suc__atMost,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_card__atMost,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atMost__iff,axiom, % 242.21/242.39 ! [V_k_2,V_i_2,T_b] : % 242.21/242.39 ( class_Orderings_Oord(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atMost__subset__iff,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__Suc,axiom, % 242.21/242.39 ! [V_m,T_a] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_a) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__diff,axiom, % 242.21/242.39 ! [V_m,V_n,T_a] : % 242.21/242.39 ( class_Rings_Oring__1(T_a) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_card__atLeastAtMost,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 242.21/242.39 ! [V_k_2,V_f_2] : % 242.21/242.39 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__constant,axiom, % 242.21/242.39 ! [V_A_2,V_y_2,T_c,T_b] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_b) % 242.21/242.39 => 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Int__atLeastAtMost,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastatMost__psubset__iff,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 242.21/242.39 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 242.21/242.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 242.21/242.39 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 242.21/242.39 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 242.21/242.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I4_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold1Set__sing,axiom, % 242.21/242.39 ! [V_b_2,V_a_2,V_f_2,T_b] : % 242.21/242.39 ( 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)) % 242.21/242.39 <=> V_a_2 = V_b_2 ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__0__less__iff,axiom, % 242.21/242.39 ! [V_n_2,T_b] : % 242.21/242.39 ( class_Rings_Olinordered__semidom(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__head__Suc,axiom, % 242.21/242.39 ! [V_f_2,V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__atMost__Suc,axiom, % 242.21/242.39 ! [V_n_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__cl__ivl__Suc,axiom, % 242.21/242.39 ! [V_f_2,V_m_2,V_n_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 242.21/242.39 => 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) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 242.21/242.39 => 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))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_fold1__def,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__ub__add__nat,axiom, % 242.21/242.39 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( 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)))) % 242.21/242.39 => 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)))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 242.21/242.39 ! [V_n_2,T_b] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_all__nat__less,axiom, % 242.21/242.39 ! [V_Pa_2,V_n_2] : % 242.21/242.39 ( ! [B_m] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 242.21/242.39 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 242.21/242.39 <=> ! [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ex__nat__less,axiom, % 242.21/242.39 ! [V_Pa_2,V_n_2] : % 242.21/242.39 ( ? [B_m] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 242.21/242.39 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 242.21/242.39 <=> ? [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zdiff__int__split,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,V_Pa_2] : % 242.21/242.39 ( 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)))) % 242.21/242.39 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 242.21/242.39 => 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)))) ) % 242.21/242.39 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 242.21/242.39 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__bounded,axiom, % 242.21/242.39 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 242.21/242.39 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 242.21/242.39 & class_Rings_Osemiring__1(T_c) ) % 242.21/242.39 => ( ! [B_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 242.21/242.39 ! [V_x_2,V_y_2,V_c_2] : % 242.21/242.39 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 242.21/242.39 => 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)) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 242.21/242.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 242.21/242.39 => 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))) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__atLeastLessThan,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_negative__zle,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__less__0__conv,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__int__eq,axiom, % 242.21/242.39 ! [V_n_2,V_m_2] : % 242.21/242.39 ( 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) % 242.21/242.39 <=> V_m_2 = V_n_2 ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zero__zle__int,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_not__int__zless__negative,axiom, % 242.21/242.39 ! [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)))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_negative__zle__0,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__iff__zadd,axiom, % 242.21/242.39 ! [V_z_2,V_w_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 242.21/242.39 <=> ? [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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_simp__from__to,axiom, % 242.21/242.39 ! [V_i_2,V_j_2] : % 242.21/242.39 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 242.21/242.39 => 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)) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_pos__zmult__eq__1__iff,axiom, % 242.21/242.39 ! [V_n_2,V_m_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 242.21/242.39 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 242.21/242.39 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 242.21/242.39 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__zmult__distrib,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__zmult__distrib2,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__1__right,axiom, % 242.21/242.39 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__1,axiom, % 242.21/242.39 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__zminus,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__commute,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__assoc,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zdiff__zmult__distrib,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zdiff__zmult__distrib2,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zmult__zless__mono2,axiom, % 242.21/242.39 ! [V_k,V_j,V_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__diff1__eq,axiom, % 242.21/242.39 ! [V_z_2,V_w_2] : % 242.21/242.39 ( 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)))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__zless__mono,axiom, % 242.21/242.39 ! [V_z,V_z_H,V_w,V_w_H] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zless__imp__add1__zle,axiom, % 242.21/242.39 ! [V_z,V_w] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_le__imp__0__less,axiom, % 242.21/242.39 ! [V_z] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_add1__zle__eq,axiom, % 242.21/242.39 ! [V_z_2,V_w_2] : % 242.21/242.39 ( 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)) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__add1__eq__le,axiom, % 242.21/242.39 ! [V_z_2,V_w_2] : % 242.21/242.39 ( 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)))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__one__le__iff__zero__less,axiom, % 242.21/242.39 ! [V_z_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__0__less__1,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zless__add1__eq,axiom, % 242.21/242.39 ! [V_z_2,V_w_2] : % 242.21/242.39 ( 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)))) % 242.21/242.39 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 242.21/242.39 | V_w_2 = V_z_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_odd__less__0,axiom, % 242.21/242.39 ! [V_z_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__strict__right__mono,axiom, % 242.21/242.39 ! [V_k,V_j,V_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__assoc,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__left__commute,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__commute,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__0__right,axiom, % 242.21/242.39 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__0,axiom, % 242.21/242.39 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 242.21/242.39 % 242.21/242.39 fof(fact_odd__nonzero,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_int__0__neq__1,axiom, % 242.21/242.39 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__left__mono,axiom, % 242.21/242.39 ! [V_k,V_j,V_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zminus__zadd__distrib,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_diff__int__def__symmetric,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_diff__int__def,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zadd__zminus__inverse2,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zminus__0,axiom, % 242.21/242.39 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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zminus__zminus,axiom, % 242.21/242.39 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__antisym,axiom, % 242.21/242.39 ! [V_w,V_z] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 242.21/242.39 => V_z = V_w ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__trans,axiom, % 242.21/242.39 ! [V_k,V_j,V_i] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__linear,axiom, % 242.21/242.39 ! [V_w,V_z] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 242.21/242.39 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zle__refl,axiom, % 242.21/242.39 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zless__linear,axiom, % 242.21/242.39 ! [V_y,V_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 242.21/242.39 | V_x = V_y % 242.21/242.39 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zless__le,axiom, % 242.21/242.39 ! [V_w_2,V_z_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 242.21/242.39 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 242.21/242.39 & V_z_2 != V_w_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_less__bin__lemma,axiom, % 242.21/242.39 ! [V_l_2,V_k_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 242.21/242.39 <=> 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zsgn__def,axiom, % 242.21/242.39 ! [V_i] : % 242.21/242.39 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.39 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.39 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 242.21/242.39 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_all__nat__less__eq,axiom, % 242.21/242.39 ! [V_Pa_2,V_n_2] : % 242.21/242.39 ( ! [B_m] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 242.21/242.39 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 242.21/242.39 <=> ! [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ex__nat__less__eq,axiom, % 242.21/242.39 ! [V_Pa_2,V_n_2] : % 242.21/242.39 ( ? [B_m] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 242.21/242.39 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 242.21/242.39 <=> ? [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( 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) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 242.21/242.39 => V_b_2 = V_d_2 ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( 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) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 242.21/242.39 => V_a_2 = V_c_2 ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__eq__iff,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> ( V_a_2 = V_c_2 % 242.21/242.39 & V_b_2 = V_d_2 ) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__add__Un,axiom, % 242.21/242.39 ! [V_k_2,V_j_2,V_i_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan0,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeast0LessThan,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_subset__card__intvl__is__intvl,axiom, % 242.21/242.39 ! [V_k_2,V_A_2] : % 242.21/242.39 ( 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))))) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_card__atLeastLessThan,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__Suc__atLeastLessThan,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__empty,axiom, % 242.21/242.39 ! [V_a_2,V_b_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__empty__iff2,axiom, % 242.21/242.39 ! [V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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) % 242.21/242.39 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__empty__iff,axiom, % 242.21/242.39 ! [V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( 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)) % 242.21/242.39 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__subset__iff,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 242.21/242.39 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 242.21/242.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 242.21/242.39 ! [V_n_2,V_m_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I17_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 242.21/242.39 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__diff,axiom, % 242.21/242.39 ! [V_m_2,V_n_2,V_i_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I11_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__add__atLeastLessThan,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__add__nat__ivl,axiom, % 242.21/242.39 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 242.21/242.39 => 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)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__diff__nat__ivl,axiom, % 242.21/242.39 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Groups_Oab__group__add(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 242.21/242.39 => 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)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 242.21/242.39 ! [V_i_2,V_inc_2,T_b] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_b) % 242.21/242.39 => 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 ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 242.21/242.39 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 242.21/242.39 ( class_Rings_Osemiring__1(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThan__singleton,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I21_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I15_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Int__atLeastLessThan,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I8_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I2_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 242.21/242.39 ! [V_k_2,V_f_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__head__upt__Suc,axiom, % 242.21/242.39 ! [V_f_2,V_n_2,V_m_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThanSuc,axiom, % 242.21/242.39 ! [V_n_2,V_m_2] : % 242.21/242.39 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => 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)) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_setsum__op__ivl__Suc,axiom, % 242.21/242.39 ! [V_f_2,V_m_2,V_n_2,T_b] : % 242.21/242.39 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 242.21/242.39 => 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) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 242.21/242.39 => 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)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I6_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_self__quotient__aux1,axiom, % 242.21/242.39 ! [V_q,V_r,V_a] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_self__quotient__aux2,axiom, % 242.21/242.39 ! [V_q,V_r,V_a] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zdiv__mono2__neg__lemma,axiom, % 242.21/242.39 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 242.21/242.39 ( 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) % 242.21/242.39 => ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_unique__quotient__lemma__neg,axiom, % 242.21/242.39 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_zdiv__mono2__lemma,axiom, % 242.21/242.39 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 242.21/242.39 ( 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) % 242.21/242.39 => ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_unique__quotient__lemma,axiom, % 242.21/242.39 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__atLeastAtMost__int,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__add__int__atLeastLessThan,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_q__pos__lemma,axiom, % 242.21/242.39 ! [V_r_H,V_q_H,V_b_H] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_q__neg__lemma,axiom, % 242.21/242.39 ! [V_r_H,V_q_H,V_b_H] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 242.21/242.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 242.21/242.39 ! [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)))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 242.21/242.39 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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__atLeastLessThan__int,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_infinite__UNIV__int,axiom, % 242.21/242.39 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 242.21/242.39 ! [V_y_2,V_x_2] : % 242.21/242.39 ( 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) % 242.21/242.39 <=> V_x_2 = V_y_2 ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 242.21/242.39 ! [V_B_2,V_A_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.39 <=> 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 242.21/242.39 ! [V_B_2,V_A_2] : % 242.21/242.39 ( V_A_2 = V_B_2 % 242.21/242.39 <=> 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) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 242.21/242.39 ! [V_A_2,V_x_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 242.21/242.39 <=> 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 242.21/242.39 ! [V_A_2] : % 242.21/242.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 242.21/242.39 <=> 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 242.21/242.39 ! [V_B_2,V_A_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.39 <=> 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 242.21/242.39 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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 242.21/242.39 ! [V_y,V_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 242.21/242.39 ! [V_Pa_2] : % 242.21/242.39 ( ! [B_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.39 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.21/242.39 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 242.21/242.39 ! [V_Pa_2] : % 242.21/242.39 ( ? [B_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.39 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.21/242.39 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 242.21/242.39 ! [V_y,V_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 242.21/242.39 ! [V_y_2,V_x_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 242.21/242.39 ! [V_y_2,V_x_2] : % 242.21/242.39 ( 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))) % 242.21/242.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_bset_I6_J,axiom, % 242.21/242.39 ! [V_t_2,V_B_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 242.21/242.39 => 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)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_aset_I8_J,axiom, % 242.21/242.39 ! [V_t_2,V_A_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 242.21/242.39 => 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))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_aset_I6_J,axiom, % 242.21/242.39 ! [V_A_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_bset_I8_J,axiom, % 242.21/242.39 ! [V_B_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 242.21/242.39 => 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))) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_periodic__finite__ex,axiom, % 242.21/242.39 ! [V_Pa_2,V_d_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 242.21/242.39 => ( ! [B_x,B_k] : % 242.21/242.39 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.39 <=> 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)))) ) % 242.21/242.39 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.21/242.39 <=> ? [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_aset_I4_J,axiom, % 242.21/242.39 ! [V_A_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( B_x != V_t_2 % 242.21/242.39 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_bset_I4_J,axiom, % 242.21/242.39 ! [V_B_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( B_x != V_t_2 % 242.21/242.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_bset_I7_J,axiom, % 242.21/242.39 ! [V_B_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 242.21/242.39 => 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))) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_aset_I5_J,axiom, % 242.21/242.39 ! [V_A_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 242.21/242.39 => 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)) ) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_aset_I3_J,axiom, % 242.21/242.39 ! [V_A_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ( ! [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xa] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 242.21/242.39 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 242.21/242.39 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_bset_I3_J,axiom, % 242.21/242.39 ! [V_B_2,V_t_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ( 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)) % 242.21/242.39 => ( ! [B_x] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xa] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 242.21/242.39 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 242.21/242.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_bset_I5_J,axiom, % 242.21/242.39 ! [V_t_2,V_B_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 242.21/242.39 => 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)) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_aset_I7_J,axiom, % 242.21/242.39 ! [V_t_2,V_A_2,V_D_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 242.21/242.39 => ! [B_x] : % 242.21/242.39 ( ! [B_xa] : % 242.21/242.39 ( 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))) % 242.21/242.39 => ! [B_xb] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 242.21/242.39 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 242.21/242.39 => 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))) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_tsub__def,axiom, % 242.21/242.39 ! [V_x,V_y] : % 242.21/242.39 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 242.21/242.39 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 242.21/242.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 242.21/242.39 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I18_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__greaterThanLessThan,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__greaterThanLessThan__int,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_greaterThanLessThan__empty,axiom, % 242.21/242.39 ! [V_k_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 242.21/242.39 => 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)) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__uminus__greaterThanLessThan,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I13_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I12_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I9_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Int__greaterThanLessThan,axiom, % 242.21/242.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_card__greaterThanLessThan,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I1_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 242.21/242.39 ! [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) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 242.21/242.39 ! [V_y,V_x] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.39 => 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))) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_tsub__eq,axiom, % 242.21/242.39 ! [V_x,V_y] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 242.21/242.39 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I15_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I7_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I3_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I19_J,axiom, % 242.21/242.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 242.21/242.39 => 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) ) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I4_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I5_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_image__atLeastZeroLessThan__int,axiom, % 242.21/242.39 ! [V_u_2] : % 242.21/242.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 242.21/242.39 => 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))) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_greaterThan__0,axiom, % 242.21/242.39 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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__greaterThanAtMost,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_finite__greaterThanAtMost__int,axiom, % 242.21/242.39 ! [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))) ). % 242.21/242.39 % 242.21/242.39 fof(fact_greaterThan__eq__iff,axiom, % 242.21/242.39 ! [V_y_2,V_x_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 242.21/242.39 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__int,axiom, % 242.21/242.39 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 242.21/242.39 % 242.21/242.39 fof(fact_card__greaterThanAtMost__int,axiom, % 242.21/242.39 ! [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)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__un_I11_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Olinorder(T_b) % 242.21/242.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.39 => 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) ) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_ivl__disj__int_I5_J,axiom, % 242.21/242.39 ! [V_u_2,V_l_2,T_b] : % 242.21/242.39 ( class_Orderings_Oorder(T_b) % 242.21/242.39 => 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)) ) ). % 242.21/242.39 % 242.21/242.39 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 242.21/242.39 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 242.21/242.39 % 242.21/242.39 fof(fact_nat__0,axiom, % 242.21/242.39 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ex__nat,axiom, % 242.21/242.40 ! [V_Pa_2] : % 242.21/242.40 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.21/242.40 <=> ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.40 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_all__nat,axiom, % 242.21/242.40 ! [V_Pa_2] : % 242.21/242.40 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 242.21/242.40 ! [V_y_2,V_x_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 242.21/242.40 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 242.21/242.40 <=> V_x_2 = V_y_2 ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_eq__nat__nat__iff,axiom, % 242.21/242.40 ! [V_z_H_2,V_z_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 242.21/242.40 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 242.21/242.40 <=> V_z_2 = V_z_H_2 ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 242.21/242.40 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__set__return__embed,axiom, % 242.21/242.40 ! [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 ). % 242.21/242.40 % 242.21/242.40 fof(fact_greaterThanAtMost__empty,axiom, % 242.21/242.40 ! [V_k_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 242.21/242.40 ! [V_l_2,V_k_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => ( 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) % 242.21/242.40 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_greaterThanAtMost__empty__iff,axiom, % 242.21/242.40 ! [V_l_2,V_k_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => ( 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)) % 242.21/242.40 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I20_J,axiom, % 242.21/242.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 242.21/242.40 => 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 242.21/242.40 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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I14_J,axiom, % 242.21/242.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__0__iff,axiom, % 242.21/242.40 ! [V_i_2] : % 242.21/242.40 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__le__0,axiom, % 242.21/242.40 ! [V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zless__nat__conj,axiom, % 242.21/242.40 ! [V_z_2,V_w_2] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 242.21/242.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__mono__iff,axiom, % 242.21/242.40 ! [V_w_2,V_z_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 242.21/242.40 ! [V_y_2,V_x_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__1,axiom, % 242.21/242.40 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_int__nat__eq,axiom, % 242.21/242.40 ! [V_z] : % 242.21/242.40 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_int__eq__iff,axiom, % 242.21/242.40 ! [V_z_2,V_m_2] : % 242.21/242.40 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 242.21/242.40 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 242.21/242.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__0__le,axiom, % 242.21/242.40 ! [V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zless__nat__eq__int__zless,axiom, % 242.21/242.40 ! [V_z_2,V_m_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 242.21/242.40 <=> 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__zminus__int,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_card__greaterThanAtMost,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_greaterThan__iff,axiom, % 242.21/242.40 ! [V_k_2,V_i_2,T_b] : % 242.21/242.40 ( class_Orderings_Oord(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_greaterThan__subset__iff,axiom, % 242.21/242.40 ! [V_y_2,V_x_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.40 & class_Groups_Ocomm__monoid__mult(T_b) ) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Compl__atMost,axiom, % 242.21/242.40 ! [V_k_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Compl__greaterThan,axiom, % 242.21/242.40 ! [V_k_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_card__atLeastZeroLessThan__int,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_card__atLeastLessThan__int,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__less__nat__eq,axiom, % 242.21/242.40 ! [V_z_2] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 242.21/242.40 ! [V_y_2,V_x_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__less__eq__zless,axiom, % 242.21/242.40 ! [V_z_2,V_w_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__eq__iff,axiom, % 242.21/242.40 ! [V_m_2,V_w_2] : % 242.21/242.40 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 242.21/242.40 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__eq__iff2,axiom, % 242.21/242.40 ! [V_w_2,V_m_2] : % 242.21/242.40 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 242.21/242.40 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__le__eq__zle,axiom, % 242.21/242.40 ! [V_z_2,V_w_2] : % 242.21/242.40 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_split__nat,axiom, % 242.21/242.40 ! [V_i_2,V_Pa_2] : % 242.21/242.40 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 242.21/242.40 <=> ( ! [B_n] : % 242.21/242.40 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 242.21/242.40 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 242.21/242.40 ! [V_y,V_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__add__distrib,axiom, % 242.21/242.40 ! [V_z_H,V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 242.21/242.40 ! [V_y,V_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__mult__distrib,axiom, % 242.21/242.40 ! [V_z_H,V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__diff__distrib,axiom, % 242.21/242.40 ! [V_z,V_z_H] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I22_J,axiom, % 242.21/242.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 242.21/242.40 => 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I16_J,axiom, % 242.21/242.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Int__greaterThanAtMost,axiom, % 242.21/242.40 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__uminus__atLeastLessThan,axiom, % 242.21/242.40 ! [V_y_2,V_x_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__uminus__greaterThanAtMost,axiom, % 242.21/242.40 ! [V_y_2,V_x_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I9_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I3_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I10_J,axiom, % 242.21/242.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 242.21/242.40 ! [V_y,V_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_card__greaterThanLessThan__int,axiom, % 242.21/242.40 ! [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)))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I7_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_one__less__nat__eq,axiom, % 242.21/242.40 ! [V_z_2] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__less__iff,axiom, % 242.21/242.40 ! [V_m_2,V_w_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 242.21/242.40 <=> 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 242.21/242.40 ! [V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__mult__distrib__neg,axiom, % 242.21/242.40 ! [V_z_H,V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__uminus__lessThan,axiom, % 242.21/242.40 ! [V_x_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__uminus__greaterThan,axiom, % 242.21/242.40 ! [V_x_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 242.21/242.40 ! [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)))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_greaterThan__Suc,axiom, % 242.21/242.40 ! [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)))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_card__atLeastAtMost__int,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I16_J,axiom, % 242.21/242.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 242.21/242.40 => 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setsum__head,axiom, % 242.21/242.40 ! [V_Pa_2,V_n_2,V_m_2,T_b] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__aux__def,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__morphism__nat__int,axiom, % 242.21/242.40 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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 242.21/242.40 ! [V_n_2,V_m_2] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_m_2) % 242.21/242.40 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__of__nat,axiom, % 242.21/242.40 ! [V_k,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => 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)))) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__eq__iff,axiom, % 242.21/242.40 ! [V_z_2,V_w_2,T_b] : % 242.21/242.40 ( class_Int_Oring__char__0(T_b) % 242.21/242.40 => ( 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) % 242.21/242.40 <=> V_w_2 = V_z_2 ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 242.21/242.40 ! [V_y_2,V_x_2] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x_2) % 242.21/242.40 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 242.21/242.40 ! [V_x_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__int__eq,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => ( V_A_2 = V_B_2 % 242.21/242.40 <=> 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 242.21/242.40 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 242.21/242.40 ! [V_y,V_x] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x) % 242.21/242.40 => ( c_Nat__Transfer_Ois__nat(V_y) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 242.21/242.40 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 242.21/242.40 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 242.21/242.40 ! [V_y,V_x] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x) % 242.21/242.40 => ( c_Nat__Transfer_Ois__nat(V_y) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 242.21/242.40 ! [V_y,V_x] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x) % 242.21/242.40 => ( c_Nat__Transfer_Ois__nat(V_y) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 242.21/242.40 ! [V_A_2,V_x_2] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 242.21/242.40 <=> 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__eq__0__iff,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Int_Oring__char__0(T_b) % 242.21/242.40 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__0__eq__iff,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Int_Oring__char__0(T_b) % 242.21/242.40 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 242.21/242.40 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__0,axiom, % 242.21/242.40 ! [T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 242.21/242.40 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__le__iff,axiom, % 242.21/242.40 ! [V_z_2,V_w_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__less__iff,axiom, % 242.21/242.40 ! [V_z_2,V_w_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__add,axiom, % 242.21/242.40 ! [V_z,V_w,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__mult,axiom, % 242.21/242.40 ! [V_z,V_w,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__1,axiom, % 242.21/242.40 ! [T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__diff,axiom, % 242.21/242.40 ! [V_z,V_w,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__of__nat__eq,axiom, % 242.21/242.40 ! [V_n,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__minus,axiom, % 242.21/242.40 ! [V_z,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Ints__of__int,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Rings_Oring__1(T_b) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__set__def,axiom, % 242.21/242.40 ! [V_S_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_S_2) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_is__nat__def,axiom, % 242.21/242.40 ! [V_x_2] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x_2) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__setsum,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Rings_Oring__1(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 242.21/242.40 ! [V_y_2,V_x_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 242.21/242.40 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__set__return__embed,axiom, % 242.21/242.40 ! [V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => 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 ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 242.21/242.40 ! [V_x_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__le__0__iff,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__0__le__iff,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__0__less__iff,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__less__0__iff,axiom, % 242.21/242.40 ! [V_z_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__nat__nat,axiom, % 242.21/242.40 ! [V_z,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.40 & class_Groups_Ocomm__monoid__mult(T_b) ) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 242.21/242.40 ! [V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 242.21/242.40 <=> 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 242.21/242.40 ! [V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.40 <=> 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2] : % 242.21/242.40 ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.40 <=> 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b] : % 242.21/242.40 ( ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeast__Suc,axiom, % 242.21/242.40 ! [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)))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I12_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_decr__mult__lemma,axiom, % 242.21/242.40 ! [V_k_2,V_Pa_2,V_d_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 242.21/242.40 => ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.40 => 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)))) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_negD,axiom, % 242.21/242.40 ! [V_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => ? [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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__eq__id,axiom, % 242.21/242.40 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeast__eq__iff,axiom, % 242.21/242.40 ! [V_y_2,V_x_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 242.21/242.40 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeast__iff,axiom, % 242.21/242.40 ! [V_k_2,V_i_2,T_b] : % 242.21/242.40 ( class_Orderings_Oord(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeast__subset__iff,axiom, % 242.21/242.40 ! [V_y_2,V_x_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeast__0,axiom, % 242.21/242.40 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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Compl__atLeast,axiom, % 242.21/242.40 ! [V_k_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Compl__lessThan,axiom, % 242.21/242.40 ! [V_k_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atLeast__Suc__greaterThan,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I14_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I8_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Int__atLeastAtMostR2,axiom, % 242.21/242.40 ! [V_d_2,V_c_2,V_a_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Int__atLeastAtMostL2,axiom, % 242.21/242.40 ! [V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__int_I6_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__uminus__atMost,axiom, % 242.21/242.40 ! [V_x_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__uminus__atLeast,axiom, % 242.21/242.40 ! [V_x_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_atMost__Int__atLeast,axiom, % 242.21/242.40 ! [V_n_2,T_b] : % 242.21/242.40 ( class_Orderings_Oorder(T_b) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I1_J,axiom, % 242.21/242.40 ! [V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ivl__disj__un_I13_J,axiom, % 242.21/242.40 ! [V_u_2,V_l_2,T_b] : % 242.21/242.40 ( class_Orderings_Olinorder(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_incr__mult__lemma,axiom, % 242.21/242.40 ! [V_k_2,V_Pa_2,V_d_2] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 242.21/242.40 => ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.40 => 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)))) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__less__imp__eq__int,axiom, % 242.21/242.40 ! [V_k] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 242.21/242.40 => ? [B_n] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 242.21/242.40 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_incr__lemma,axiom, % 242.21/242.40 ! [V_x,V_z,V_d] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 242.21/242.40 => 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)))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_decr__lemma,axiom, % 242.21/242.40 ! [V_z,V_x,V_d] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 242.21/242.40 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.40 & class_Groups_Ocomm__monoid__mult(T_b) ) % 242.21/242.40 => ( V_A_2 = V_B_2 % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.40 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 242.21/242.40 => 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) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setsum__abs,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setsum__abs__ge__zero,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__int__eq,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__eq__0,axiom, % 242.21/242.40 ! [V_a_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__zero,axiom, % 242.21/242.40 ! [T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__add__abs,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__mult,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__mult__self,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__idempotent,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__of__nat,axiom, % 242.21/242.40 ! [V_n,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__minus__cancel,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__one,axiom, % 242.21/242.40 ! [T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__le__D1,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__ge__self,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__minus__commute,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__setsum__abs,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__of__nonneg,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__le__zero__iff,axiom, % 242.21/242.40 ! [V_a_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__ge__zero,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__not__less__zero,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ~ 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__less__abs__iff,axiom, % 242.21/242.40 ! [V_a_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__of__pos,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__triangle__ineq,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__mult__less,axiom, % 242.21/242.40 ! [V_d,V_b,V_c,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 242.21/242.40 => 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__triangle__ineq2__sym,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__triangle__ineq2,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__triangle__ineq3,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__le__D2,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__leI,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__le__iff,axiom, % 242.21/242.40 ! [V_b_2,V_a_2,T_b] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.40 => ( 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)) % 242.21/242.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 242.21/242.40 & 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__ge__minus__self,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__less__iff,axiom, % 242.21/242.40 ! [V_b_2,V_a_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 242.21/242.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 242.21/242.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__zmult__eq__1,axiom, % 242.21/242.40 ! [V_n,V_m] : % 242.21/242.40 ( 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) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__sgn,axiom, % 242.21/242.40 ! [V_k,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_mult__sgn__abs,axiom, % 242.21/242.40 ! [V_x,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => 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 ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__mult__pos,axiom, % 242.21/242.40 ! [V_y,V_x,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__eq__mult,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Oordered__ring__abs(T_a) % 242.21/242.40 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 242.21/242.40 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__diff__triangle__ineq,axiom, % 242.21/242.40 ! [V_d,V_c,V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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))))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__triangle__ineq4,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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)))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__of__nonpos,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__minus__le__zero,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__if,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oabs__if(T_a) % 242.21/242.40 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__of__neg,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zabs__less__one__iff,axiom, % 242.21/242.40 ! [V_z_2] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zabs__def,axiom, % 242.21/242.40 ! [V_i] : % 242.21/242.40 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.40 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__abs__mult__distrib,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nitpick_Oint__lcm__def,axiom, % 242.21/242.40 ! [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)))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_fold1Set_Oequations,axiom, % 242.21/242.40 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> ? [B_a,B_A] : % 242.21/242.40 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 242.21/242.40 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 242.21/242.40 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_insert__fold1SetE,axiom, % 242.21/242.40 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 242.21/242.40 ( 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)) % 242.21/242.40 => ~ ! [B_a,B_A] : % 242.21/242.40 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat0__intermed__int__val,axiom, % 242.21/242.40 ! [V_k_2,V_f_2,V_n_2] : % 242.21/242.40 ( ! [B_i] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 242.21/242.40 => 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))) ) % 242.21/242.40 => ( 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)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 242.21/242.40 => ? [B_i] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 242.21/242.40 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_int__val__lemma,axiom, % 242.21/242.40 ! [V_k_2,V_f_2,V_n_2] : % 242.21/242.40 ( ! [B_i] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 242.21/242.40 => 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))) ) % 242.21/242.40 => ( 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)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 242.21/242.40 => ? [B_i] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 242.21/242.40 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__le__eq__Un0,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 242.21/242.40 ! [V_M_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 242.21/242.40 => ? [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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_diff__nat__eq__if,axiom, % 242.21/242.40 ! [V_z_2,V_z_H_2] : % 242.21/242.40 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 242.21/242.40 => 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) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oremove,axiom, % 242.21/242.40 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.40 => 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)))))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ex__bij__betw__nat__finite,axiom, % 242.21/242.40 ! [V_M_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 242.21/242.40 => ? [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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP1__I,axiom, % 242.21/242.40 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__setprod,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.40 & class_Rings_Oring__1(T_b) ) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_finite__UN,axiom, % 242.21/242.40 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_int__setprod,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__nat__setprod,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.40 & class_Rings_Osemiring__1(T_b) ) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP1__iff,axiom, % 242.21/242.40 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__o,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__timesf,axiom, % 242.21/242.40 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__1,axiom, % 242.21/242.40 ! [V_A_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_not__neg__0,axiom, % 242.21/242.40 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_abs__setprod,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Fields_Olinordered__field(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_not__neg__int,axiom, % 242.21/242.40 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_not__neg__1,axiom, % 242.21/242.40 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 242.21/242.40 ! [V_A_2,V_f_2,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.40 & class_Groups_Ocomm__monoid__mult(T_b) ) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__zero,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 242.21/242.40 => 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__zero__iff,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( ( class_Rings_Ocomm__semiring__1(T_c) % 242.21/242.40 & class_Rings_Ono__zero__divisors(T_c) ) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( 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) % 242.21/242.40 <=> ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oempty,axiom, % 242.21/242.40 ! [V_g_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__empty,axiom, % 242.21/242.40 ! [V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__infinite,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oinfinite,axiom, % 242.21/242.40 ! [V_g_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__eq__1__iff,axiom, % 242.21/242.40 ! [V_f_2,V_F_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 242.21/242.40 => ( 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) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 242.21/242.40 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b] : % 242.21/242.40 ( ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.40 & class_Groups_Ocomm__monoid__mult(T_b) ) % 242.21/242.40 => ( c_Nat__Transfer_Onat__set(V_A_2) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Odistrib,axiom, % 242.21/242.40 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP__UN__eq,axiom, % 242.21/242.40 ! [V_x_2,V_r_2,T_c,T_b] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_not__neg__eq__ge__0,axiom, % 242.21/242.40 ! [V_x_2] : % 242.21/242.40 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_neg__def,axiom, % 242.21/242.40 ! [V_Z_2] : % 242.21/242.40 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_neg__nat,axiom, % 242.21/242.40 ! [V_z] : % 242.21/242.40 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 242.21/242.40 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_not__neg__nat,axiom, % 242.21/242.40 ! [V_z] : % 242.21/242.40 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 242.21/242.40 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__lessThan__UNIV,axiom, % 242.21/242.40 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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__atMost__UNIV,axiom, % 242.21/242.40 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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__pos__nat__iff,axiom, % 242.21/242.40 ! [V_f_2,V_S_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.21/242.40 => 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__reindex,axiom, % 242.21/242.40 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_d) % 242.21/242.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__reindex__cong,axiom, % 242.21/242.40 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_d) % 242.21/242.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 242.21/242.40 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 242.21/242.40 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 242.21/242.40 => 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) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__reindex__id,axiom, % 242.21/242.40 ! [V_B_2,V_f_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__atLeast__UNIV,axiom, % 242.21/242.40 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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__delta_H,axiom, % 242.21/242.40 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 242.21/242.40 => 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) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 242.21/242.40 => 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) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__delta,axiom, % 242.21/242.40 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 242.21/242.40 => 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) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 242.21/242.40 => 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) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__UN__finite__eq,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oinsert,axiom, % 242.21/242.40 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.40 => 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__insert,axiom, % 242.21/242.40 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__le__add__shift,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Ounion__inter,axiom, % 242.21/242.40 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.40 => 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__Un__Int,axiom, % 242.21/242.40 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.40 => 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oreindex,axiom, % 242.21/242.40 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 242.21/242.40 => 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_OF__eq,axiom, % 242.21/242.40 ! [V_g_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oeq__fold,axiom, % 242.21/242.40 ! [V_g_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_neg__zminus__int,axiom, % 242.21/242.40 ! [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))))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Oinsert__remove,axiom, % 242.21/242.40 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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)))))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__Un__disjoint,axiom, % 242.21/242.40 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.40 => ( 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)) % 242.21/242.40 => 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)) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Ounion__disjoint,axiom, % 242.21/242.40 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.40 => ( 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)) % 242.21/242.40 => 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)) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__I,axiom, % 242.21/242.40 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_vimage__eq__UN,axiom, % 242.21/242.40 ! [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))))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__eq__UN,axiom, % 242.21/242.40 ! [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)))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__insert,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I2_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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 ) % 242.21/242.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_ball__UN,axiom, % 242.21/242.40 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.40 ( ! [B_x] : % 242.21/242.40 ( 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))) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.40 => ! [B_xa] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 242.21/242.40 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP__commute,axiom, % 242.21/242.40 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 242.21/242.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__UN__flatten,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I9_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I9_J,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP__le__iff,axiom, % 242.21/242.40 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 242.21/242.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.40 => ( 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)) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_less__SUP__iff,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 242.21/242.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.40 & class_Orderings_Olinorder(T_b) ) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__iff,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.40 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP__const,axiom, % 242.21/242.40 ! [V_M_2,T_b,V_A_2,T_c] : % 242.21/242.40 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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 ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UNION__empty__conv_I1_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.40 ( 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) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.40 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__empty2,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__constant,axiom, % 242.21/242.40 ! [V_c_2,T_c,T_b,V_A_2] : % 242.21/242.40 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) % 242.21/242.40 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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 ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UNION__empty__conv_I2_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.40 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__subset__iff,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I10_J,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_image__UN,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I10_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__Un__distrib,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__Un,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I5_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I4_J,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I5_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Int__UN__distrib,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I4_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Int__UN__distrib2,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUPR__apply,axiom, % 242.21/242.40 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 242.21/242.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I6_J,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I6_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_vimage__UN,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP__subset,axiom, % 242.21/242.40 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_le__SUPI,axiom, % 242.21/242.40 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 242.21/242.40 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__insert__distrib,axiom, % 242.21/242.40 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__upper,axiom, % 242.21/242.40 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__absorb,axiom, % 242.21/242.40 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I1_J,axiom, % 242.21/242.40 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 242.21/242.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) % 242.21/242.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__singleton,axiom, % 242.21/242.40 ! [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 ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I1_J,axiom, % 242.21/242.40 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 242.21/242.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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))) ) % 242.21/242.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I3_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) % 242.21/242.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__simps_I2_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) % 242.21/242.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__extend__simps_I3_J,axiom, % 242.21/242.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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 ) % 242.21/242.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 242.21/242.40 ! [V_f_2,V_A_2,T_b] : % 242.21/242.40 ( ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__finite2__subset,axiom, % 242.21/242.40 ! [V_B_2,V_k_2,V_A_2,T_b] : % 242.21/242.40 ( ! [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))) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__Un__one,axiom, % 242.21/242.40 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( 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))) % 242.21/242.40 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 242.21/242.40 => 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)) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod_Ounion__inter__neutral,axiom, % 242.21/242.40 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( 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))) % 242.21/242.40 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 242.21/242.40 => 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)) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__finite2__eq,axiom, % 242.21/242.40 ! [V_B_2,V_k_2,V_A_2,T_b] : % 242.21/242.40 ( ! [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) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP2__I,axiom, % 242.21/242.40 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_UN__finite__subset,axiom, % 242.21/242.40 ! [V_C_2,V_A_2,T_b] : % 242.21/242.40 ( ! [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)) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__gen__delta,axiom, % 242.21/242.40 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 242.21/242.40 => 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)))) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 242.21/242.40 => 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)) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__diff1,axiom, % 242.21/242.40 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Fields_Ofield(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 242.21/242.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => 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)) ) % 242.21/242.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.40 => 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) ) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_strong__setprod__reindex__cong,axiom, % 242.21/242.40 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_d) % 242.21/242.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 242.21/242.40 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 => 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) ) % 242.21/242.40 => 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) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__mono__one__left,axiom, % 242.21/242.40 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 242.21/242.40 => ( ! [B_x] : % 242.21/242.40 ( 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))) % 242.21/242.40 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 242.21/242.40 => 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) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_SUP2__iff,axiom, % 242.21/242.40 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> ? [B_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.40 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 242.21/242.40 ! [V_n,V_x] : % 242.21/242.40 ( c_Nat__Transfer_Ois__nat(V_x) % 242.21/242.40 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_diff__divide__distrib,axiom, % 242.21/242.40 ! [V_c,V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 242.21/242.40 ! [V_q,V_p,V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zpower__zpower,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 242.21/242.40 ! [V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_divide__zero,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_divide__zero__left,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_add__divide__distrib,axiom, % 242.21/242.40 ! [V_c,V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_times__divide__eq__right,axiom, % 242.21/242.40 ! [V_c,V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 242.21/242.40 ! [V_q,V_y,V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_divide__1,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_int__power,axiom, % 242.21/242.40 ! [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) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zpower__int,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_minus__divide__left,axiom, % 242.21/242.40 ! [V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__int__power,axiom, % 242.21/242.40 ! [V_n,V_z,T_a] : % 242.21/242.40 ( class_Rings_Oring__1(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 242.21/242.40 ! [V_n,V_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__power__eq,axiom, % 242.21/242.40 ! [V_n,V_z] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setsum__divide__distrib,axiom, % 242.21/242.40 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.40 ( class_Fields_Ofield(T_b) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nonzero__eq__divide__eq,axiom, % 242.21/242.40 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_b) % 242.21/242.40 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 242.21/242.40 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nonzero__divide__eq__eq,axiom, % 242.21/242.40 ! [V_a_2,V_b_2,V_c_2,T_b] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_b) % 242.21/242.40 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 242.21/242.40 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_divide__eq__imp,axiom, % 242.21/242.40 ! [V_a,V_b,V_c,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 242.21/242.40 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_eq__divide__imp,axiom, % 242.21/242.40 ! [V_b,V_a,V_c,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 242.21/242.40 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_divide__self__if,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 242.21/242.40 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 242.21/242.40 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_divide__self,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_right__inverse__eq,axiom, % 242.21/242.40 ! [V_a_2,V_b_2,T_b] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_b) % 242.21/242.40 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 242.21/242.40 <=> V_a_2 = V_b_2 ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nonzero__minus__divide__divide,axiom, % 242.21/242.40 ! [V_a,V_b,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => 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) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nonzero__minus__divide__right,axiom, % 242.21/242.40 ! [V_a,V_b,T_a] : % 242.21/242.40 ( class_Rings_Odivision__ring(T_a) % 242.21/242.40 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 242.21/242.40 ! [V_q,V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 242.21/242.40 ! [V_q,V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 242.21/242.40 ! [V_q,V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 242.21/242.40 ! [V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 242.21/242.40 ! [V_q,V_p,V_x,T_a] : % 242.21/242.40 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 242.21/242.40 ! [V_n,V_x] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zpower__zadd__distrib,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_Ints__power,axiom, % 242.21/242.40 ! [V_n_2,V_a_2,T_b] : % 242.21/242.40 ( class_Rings_Oring__1(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__dividef,axiom, % 242.21/242.40 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Fields_Ofield__inverse__zero(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_geometric__sum,axiom, % 242.21/242.40 ! [V_n_2,V_x_2,T_b] : % 242.21/242.40 ( class_Fields_Ofield(T_b) % 242.21/242.40 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__le__zpower__abs,axiom, % 242.21/242.40 ! [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))) ). % 242.21/242.40 % 242.21/242.40 fof(fact_setprod__constant,axiom, % 242.21/242.40 ! [V_y_2,V_A_2,T_b,T_c] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.40 => 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)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__eq__if,axiom, % 242.21/242.40 ! [V_p,V_m] : % 242.21/242.40 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.40 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 242.21/242.40 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.40 => 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)))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__less__zpower__abs__iff,axiom, % 242.21/242.40 ! [V_n_2,V_x_2] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.40 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__strict__mono,axiom, % 242.21/242.40 ! [V_n,V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.40 => 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))) ) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__diff,axiom, % 242.21/242.40 ! [V_m,V_n,V_a,T_a] : % 242.21/242.40 ( class_Fields_Ofield(T_a) % 242.21/242.40 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 242.21/242.40 => 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)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_one__less__power,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.40 => 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__increasing__iff,axiom, % 242.21/242.40 ! [V_y_2,V_x_2,V_b_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 242.21/242.40 => ( 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))) % 242.21/242.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_field__power__not__zero,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 242.21/242.40 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.40 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__Suc__0,axiom, % 242.21/242.40 ! [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)) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 242.21/242.40 ! [V_m_2,V_x_2] : % 242.21/242.40 ( 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)) % 242.21/242.40 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.40 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__power__less__imp__less,axiom, % 242.21/242.40 ! [V_n,V_m,V_i] : % 242.21/242.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 242.21/242.40 => ( 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))) % 242.21/242.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__zero__less__power__iff,axiom, % 242.21/242.40 ! [V_n_2,V_x_2] : % 242.21/242.40 ( 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))) % 242.21/242.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 242.21/242.40 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__mult__distrib,axiom, % 242.21/242.40 ! [V_n,V_b,V_a,T_a] : % 242.21/242.40 ( class_Groups_Ocomm__monoid__mult(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__commutes,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__one,axiom, % 242.21/242.40 ! [V_n,T_a] : % 242.21/242.40 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_of__nat__power,axiom, % 242.21/242.40 ! [V_n,V_m,T_a] : % 242.21/242.40 ( class_Rings_Osemiring__1(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__mult,axiom, % 242.21/242.40 ! [V_n,V_m,V_a,T_a] : % 242.21/242.40 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__divide,axiom, % 242.21/242.40 ! [V_n,V_b,V_a,T_a] : % 242.21/242.40 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__abs,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__one__right,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.40 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__le__power,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__mono,axiom, % 242.21/242.40 ! [V_n,V_b,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 => 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))) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_zero__less__power,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__eq__0__iff,axiom, % 242.21/242.40 ! [V_n_2,V_a_2,T_b] : % 242.21/242.40 ( ( class_Power_Opower(T_b) % 242.21/242.40 & class_Rings_Omult__zero(T_b) % 242.21/242.40 & class_Rings_Ono__zero__divisors(T_b) % 242.21/242.40 & class_Rings_Ozero__neq__one(T_b) ) % 242.21/242.40 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.40 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_one__le__power,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.40 => 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))) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__0__Suc,axiom, % 242.21/242.40 ! [V_n,T_a] : % 242.21/242.40 ( ( class_Power_Opower(T_a) % 242.21/242.40 & class_Rings_Osemiring__0(T_a) ) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__inject__exp,axiom, % 242.21/242.40 ! [V_n_2,V_m_2,V_a_2,T_b] : % 242.21/242.40 ( class_Rings_Olinordered__semidom(T_b) % 242.21/242.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 242.21/242.40 => ( 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) % 242.21/242.40 <=> V_m_2 = V_n_2 ) ) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__Suc,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Power_Opower(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__Suc2,axiom, % 242.21/242.40 ! [V_n,V_a,T_a] : % 242.21/242.40 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nat__one__le__power,axiom, % 242.21/242.40 ! [V_n,V_i] : % 242.21/242.40 ( 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)) % 242.21/242.40 => 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))) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__0,axiom, % 242.21/242.40 ! [V_a,T_a] : % 242.21/242.40 ( class_Power_Opower(T_a) % 242.21/242.40 => 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) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_power__add,axiom, % 242.21/242.40 ! [V_n,V_m,V_a,T_a] : % 242.21/242.40 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.40 => 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)) ) ). % 242.21/242.40 % 242.21/242.40 fof(fact_nonzero__power__divide,axiom, % 242.21/242.40 ! [V_n,V_a,V_b,T_a] : % 242.21/242.40 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__one__over,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_abs__power__minus,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__less__imp__less__base,axiom, % 242.21/242.41 ! [V_b,V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( 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))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__inject__base,axiom, % 242.21/242.41 ! [V_b,V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( 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)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.41 => V_a = V_b ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__le__imp__le__base,axiom, % 242.21/242.41 ! [V_b,V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( 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)))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__less__power__Suc,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => 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)))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__gt1__lemma,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => 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)))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__0__left,axiom, % 242.21/242.41 ! [V_n,T_a] : % 242.21/242.41 ( ( class_Power_Opower(T_a) % 242.21/242.41 & class_Rings_Osemiring__0(T_a) ) % 242.21/242.41 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__gt1,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => 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)))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__strict__increasing,axiom, % 242.21/242.41 ! [V_a,V_N,V_n,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__less__imp__less__exp,axiom, % 242.21/242.41 ! [V_n,V_m,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__strict__increasing__iff,axiom, % 242.21/242.41 ! [V_y_2,V_x_2,V_b_2,T_b] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zero__le__power__abs,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__increasing,axiom, % 242.21/242.41 ! [V_a,V_N,V_n,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__minus,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Oring__1(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__Suc__less,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__eq__imp__eq__base,axiom, % 242.21/242.41 ! [V_b,V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( 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) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => V_a = V_b ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__Suc__less__one,axiom, % 242.21/242.41 ! [V_n,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__strict__decreasing,axiom, % 242.21/242.41 ! [V_a,V_N,V_n,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__decreasing,axiom, % 242.21/242.41 ! [V_a,V_N,V_n,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__le__imp__le__exp,axiom, % 242.21/242.41 ! [V_n,V_m,V_a,T_a] : % 242.21/242.41 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__left__mono__neg,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__left__mono,axiom, % 242.21/242.41 ! [V_c,V_a,V_b,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__divide__le__eq,axiom, % 242.21/242.41 ! [V_a_2,V_b_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => ( 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)) % 242.21/242.41 <=> 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__le__divide__eq,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_times__divide__times__eq,axiom, % 242.21/242.41 ! [V_w,V_z,V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_minus__divide__right,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_minus__divide__divide,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_abs__divide,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__right__mono__neg,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__right__mono,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__le__0__iff,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 242.21/242.41 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zero__le__divide__iff,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 242.21/242.41 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zero__less__divide__iff,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 242.21/242.41 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__less__0__iff,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 242.21/242.41 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__pos__pos,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__pos__neg,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__neg__pos,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__neg__neg,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__strict__right__mono,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__strict__right__mono__neg,axiom, % 242.21/242.41 ! [V_c,V_a,V_b,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_eq__divide__eq,axiom, % 242.21/242.41 ! [V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_b) % 242.21/242.41 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 242.21/242.41 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 242.21/242.41 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__eq__eq,axiom, % 242.21/242.41 ! [V_a_2,V_c_2,V_b_2,T_b] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_b) % 242.21/242.41 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 242.21/242.41 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 242.21/242.41 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__divide__mult__cancel__right,axiom, % 242.21/242.41 ! [V_b,V_a,V_c,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__divide__mult__cancel__left,axiom, % 242.21/242.41 ! [V_b,V_a,V_c,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_frac__eq__eq,axiom, % 242.21/242.41 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 242.21/242.41 ( class_Fields_Ofield(T_b) % 242.21/242.41 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => ( 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) % 242.21/242.41 <=> 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) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nonzero__abs__divide,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__nonneg__pos,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__nonneg__neg,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_frac__less2,axiom, % 242.21/242.41 ! [V_z,V_w,V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 242.21/242.41 => 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))) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_frac__less,axiom, % 242.21/242.41 ! [V_z,V_w,V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 242.21/242.41 => 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))) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_frac__le,axiom, % 242.21/242.41 ! [V_z,V_w,V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 242.21/242.41 => 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))) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__nonpos__pos,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__nonpos__neg,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_less__divide__eq,axiom, % 242.21/242.41 ! [V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => 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))) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__less__eq,axiom, % 242.21/242.41 ! [V_a_2,V_c_2,V_b_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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)) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => 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))) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__less__divide__eq,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__divide__less__eq,axiom, % 242.21/242.41 ! [V_a_2,V_b_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( 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)) % 242.21/242.41 <=> 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__imp__div__pos__less,axiom, % 242.21/242.41 ! [V_z,V_x,V_y,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__imp__less__div__pos,axiom, % 242.21/242.41 ! [V_x,V_z,V_y,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => ( 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)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__less__divide__eq,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__divide__less__eq,axiom, % 242.21/242.41 ! [V_a_2,V_b_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => ( 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)) % 242.21/242.41 <=> 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__strict__left__mono,axiom, % 242.21/242.41 ! [V_c,V_a,V_b,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__strict__left__mono__neg,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_add__frac__eq,axiom, % 242.21/242.41 ! [V_w,V_x,V_z,V_y,T_a] : % 242.21/242.41 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__add__eq__iff,axiom, % 242.21/242.41 ! [V_y,V_x,V_z,T_a] : % 242.21/242.41 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_add__frac__num,axiom, % 242.21/242.41 ! [V_z,V_x,V_y,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_add__divide__eq__iff,axiom, % 242.21/242.41 ! [V_y,V_x,V_z,T_a] : % 242.21/242.41 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_add__num__frac,axiom, % 242.21/242.41 ! [V_x,V_z,V_y,T_a] : % 242.21/242.41 ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.41 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_diff__divide__eq__iff,axiom, % 242.21/242.41 ! [V_y,V_x,V_z,T_a] : % 242.21/242.41 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__diff__eq__iff,axiom, % 242.21/242.41 ! [V_y,V_x,V_z,T_a] : % 242.21/242.41 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_diff__frac__eq,axiom, % 242.21/242.41 ! [V_w,V_x,V_z,V_y,T_a] : % 242.21/242.41 ( class_Fields_Ofield(T_a) % 242.21/242.41 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_less__half__sum,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.41 => 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))))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_gt__half__sum,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_abs__div__pos,axiom, % 242.21/242.41 ! [V_x,V_y,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_le__divide__eq,axiom, % 242.21/242.41 ! [V_c_2,V_b_2,V_a_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => 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))) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__le__eq,axiom, % 242.21/242.41 ! [V_a_2,V_c_2,V_b_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.41 => ( 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)) % 242.21/242.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => 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))) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__le__divide__eq,axiom, % 242.21/242.41 ! [V_b_2,V_a_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__divide__le__eq,axiom, % 242.21/242.41 ! [V_a_2,V_b_2,V_c_2,T_b] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_b) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.41 => ( 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)) % 242.21/242.41 <=> 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__imp__div__pos__le,axiom, % 242.21/242.41 ! [V_z,V_x,V_y,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__imp__le__div__pos,axiom, % 242.21/242.41 ! [V_x,V_z,V_y,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field(T_a) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.41 => ( 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)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_setprod__Un,axiom, % 242.21/242.41 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.41 ( class_Fields_Ofield(T_c) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 242.21/242.41 => ( ! [B_x] : % 242.21/242.41 ( 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))) % 242.21/242.41 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 242.21/242.41 => 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))) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power__power__power,axiom, % 242.21/242.41 ! [T_b] : % 242.21/242.41 ( class_Power_Opower(T_b) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_int__power__div__base,axiom, % 242.21/242.41 ! [V_k,V_m] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 242.21/242.41 => 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)))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_setprod__mono__one__right,axiom, % 242.21/242.41 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 242.21/242.41 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 242.21/242.41 => ( ! [B_x] : % 242.21/242.41 ( 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))) % 242.21/242.41 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 242.21/242.41 => 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) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__by__1,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( c_Nat__Transfer_Ois__nat(V_x) % 242.21/242.41 => ( c_Nat__Transfer_Ois__nat(V_y) % 242.21/242.41 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__by__0,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__0,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zero,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zminus2,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zminus__zminus,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__neg__pos__less0,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 242.21/242.41 ! [V_a_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 242.21/242.41 ! [V_a_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__self,axiom, % 242.21/242.41 ! [V_a] : % 242.21/242.41 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__mult1__if,axiom, % 242.21/242.41 ! [V_b,V_a,V_c,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__self2__is__id,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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 ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__self1__is__id,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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 ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__mult2,axiom, % 242.21/242.41 ! [V_b,V_a,V_c,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__mult1,axiom, % 242.21/242.41 ! [V_b,V_a,V_c,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__self,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__eq__0__iff,axiom, % 242.21/242.41 ! [V_k_2,V_i_2] : % 242.21/242.41 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 242.21/242.41 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 242.21/242.41 ! [V_a_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 242.21/242.41 ! [V_i_2,V_k_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 242.21/242.41 ! [V_b_2,V_a_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__mono2,axiom, % 242.21/242.41 ! [V_b,V_b_H,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__nonneg__neg__le0,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__pos__pos__trivial,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 242.21/242.41 ! [V_a_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__nonpos__pos__le0,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__mono2__neg,axiom, % 242.21/242.41 ! [V_b,V_b_H,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__neg__neg__trivial,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__mono1,axiom, % 242.21/242.41 ! [V_b,V_a_H,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__mono1__neg,axiom, % 242.21/242.41 ! [V_b,V_a_H,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_int__div__less__self,axiom, % 242.21/242.41 ! [V_k,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zmult2__eq,axiom, % 242.21/242.41 ! [V_b,V_a,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_power_Opower_Opower__0,axiom, % 242.21/242.41 ! [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 ). % 242.21/242.41 % 242.21/242.41 fof(fact_power_Opower_Opower__Suc,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__self2,axiom, % 242.21/242.41 ! [V_c,V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__self1,axiom, % 242.21/242.41 ! [V_c,V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__add__self2,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__add__self1,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__zdiv,axiom, % 242.21/242.41 ! [V_k_2,V_n_2,V_Pa_2] : % 242.21/242.41 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 242.21/242.41 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.41 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 242.21/242.41 => ! [B_i] : % 242.21/242.41 ( ? [B_j] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 242.21/242.41 & 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) ) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 242.21/242.41 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ! [B_i] : % 242.21/242.41 ( ? [B_j] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 & 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) ) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divmod__int__rel__div__eq,axiom, % 242.21/242.41 ! [V_r_1,V_y,V_b_1,V_a_1] : % 242.21/242.41 ( 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) % 242.21/242.41 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 242.21/242.41 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_z3div__def,axiom, % 242.21/242.41 ! [V_k,V_l] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 242.21/242.41 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_card__Pow,axiom, % 242.21/242.41 ! [V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_field__le__mult__one__interval,axiom, % 242.21/242.41 ! [V_y,V_x,T_a] : % 242.21/242.41 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.41 => ( ! [B_z] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 242.21/242.41 => 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)) ) ) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 242.21/242.41 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 242.21/242.41 ( ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.41 & class_Groups_Ocomm__monoid__mult(T_b) ) % 242.21/242.41 => ( V_A_2 = V_B_2 % 242.21/242.41 => ( c_Nat__Transfer_Onat__set(V_B_2) % 242.21/242.41 => ( ! [B_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.41 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 242.21/242.41 => 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) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_PowI,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult2__eq,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__le__dividend,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__le__mono,axiom, % 242.21/242.41 ! [V_k,V_n,V_m] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__empty,axiom, % 242.21/242.41 ! [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))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__bottom,axiom, % 242.21/242.41 ! [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))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__insert,axiom, % 242.21/242.41 ! [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))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__iff,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_PowD,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__mono,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Cantors__paradox,axiom, % 242.21/242.41 ! [V_A_2,T_b] : % 242.21/242.41 ~ ? [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__top,axiom, % 242.21/242.41 ! [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))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__not__empty,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__UNIV,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_image__Pow__surj,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 242.21/242.41 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Un__Pow__subset,axiom, % 242.21/242.41 ! [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)))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__Int__eq,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_UN__Pow__subset,axiom, % 242.21/242.41 ! [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)))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__1,axiom, % 242.21/242.41 ! [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 ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__less,axiom, % 242.21/242.41 ! [V_n,V_m] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nat__mult__div__cancel__disj,axiom, % 242.21/242.41 ! [V_n,V_m,V_k] : % 242.21/242.41 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__int,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_image__Pow__mono,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.41 ( 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)) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__le__mono2,axiom, % 242.21/242.41 ! [V_k,V_n,V_m] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nat__mult__div__cancel1,axiom, % 242.21/242.41 ! [V_n,V_m,V_k] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__self__is__m,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => 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 ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult__self1__is__m,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => 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 ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__less__dividend,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__def,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_finite__Pow__iff,axiom, % 242.21/242.41 ! [V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 242.21/242.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Pow__Compl,axiom, % 242.21/242.41 ! [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))))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__geq,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__if,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__div,axiom, % 242.21/242.41 ! [V_k_2,V_n_2,V_Pa_2] : % 242.21/242.41 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 242.21/242.41 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 242.21/242.41 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => ! [B_i,B_j] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 242.21/242.41 => ( 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) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nat__div__distrib,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_le__div__geq,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__div_H,axiom, % 242.21/242.41 ! [V_n_2,V_m_2,V_Pa_2] : % 242.21/242.41 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 242.21/242.41 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 242.21/242.41 | ? [B_q] : % 242.21/242.41 ( 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)) % 242.21/242.41 & 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)))) % 242.21/242.41 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__div__lemma,axiom, % 242.21/242.41 ! [V_m_2,V_q_2,V_n_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 242.21/242.41 => ( ( 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)) % 242.21/242.41 & 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)))) ) % 242.21/242.41 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Nitpick_Onat__lcm__def,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Powp__Pow__eq,axiom, % 242.21/242.41 ! [V_x_2,V_A_2,T_b] : % 242.21/242.41 ( 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)) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__neg__lemma,axiom, % 242.21/242.41 ! [V_n_2,V_Pa_2,V_k_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ! [B_i,B_j] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 & 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) ) % 242.21/242.41 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__pos__lemma,axiom, % 242.21/242.41 ! [V_n_2,V_Pa_2,V_k_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ! [B_i,B_j] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 242.21/242.41 & 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) ) % 242.21/242.41 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zminus2,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zminus__zminus,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zminus__zmod,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mod__trivial,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__minus__eq,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Oring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__minus__cong,axiom, % 242.21/242.41 ! [V_a_H,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Oring__div(T_a) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__self,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__by__0,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__0,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__add__self2,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__add__self1,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__add__right__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__add__left__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__add__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__simps_I2_J,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__simps_I1_J,axiom, % 242.21/242.41 ! [V_b,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__add__cong,axiom, % 242.21/242.41 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__right__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__left__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__mult1,axiom, % 242.21/242.41 ! [V_b,V_a,V_c,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__mult2,axiom, % 242.21/242.41 ! [V_b,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__simps_I4_J,axiom, % 242.21/242.41 ! [V_b,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__cong,axiom, % 242.21/242.41 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zero,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__self,axiom, % 242.21/242.41 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiff__zmod__left,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiff__zmod__right,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zmult1__eq,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__simps_I3_J,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__diff__cong,axiom, % 242.21/242.41 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Oring__div(T_a) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 242.21/242.41 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__diff__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Oring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__diff__left__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Oring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__diff__right__eq,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Oring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( c_Nat__Transfer_Ois__nat(V_x) % 242.21/242.41 => ( c_Nat__Transfer_Ois__nat(V_y) % 242.21/242.41 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zpower__zmod,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__self2__is__0,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__self1__is__0,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__self2,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__self1,axiom, % 242.21/242.41 ! [V_b,V_c,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__by__1,axiom, % 242.21/242.41 ! [V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__div__trivial,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__le__nonneg__dividend,axiom, % 242.21/242.41 ! [V_k,V_m] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__mod__bound,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__mod__bound,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__eq__0__iff,axiom, % 242.21/242.41 ! [V_d_2,V_m_2] : % 242.21/242.41 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zminus2__not__zero,axiom, % 242.21/242.41 ! [V_l,V_k] : % 242.21/242.41 ( 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) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zminus1__not__zero,axiom, % 242.21/242.41 ! [V_l,V_k] : % 242.21/242.41 ( 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) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_DIVISION__BY__ZERO,axiom, % 242.21/242.41 ! [V_a] : % 242.21/242.41 ( 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) % 242.21/242.41 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zdiv__trivial,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zadd1__eq,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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 ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__div__equality2,axiom, % 242.21/242.41 ! [V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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 ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__div__equality,axiom, % 242.21/242.41 ! [V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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 ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mod__equality2,axiom, % 242.21/242.41 ! [V_c,V_a,V_b,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mod__equality,axiom, % 242.21/242.41 ! [V_c,V_b,V_a,T_a] : % 242.21/242.41 ( class_Divides_Osemiring__div(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__mod__sign,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_pos__mod__conj,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.41 => ( 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))) % 242.21/242.41 & 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__pos__pos__trivial,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__mod__sign,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_neg__mod__conj,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( 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))) % 242.21/242.41 & 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__neg__neg__trivial,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zminus2__eq__if,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zminus1__eq__if,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zdiv__equality,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zmult1__eq,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zmod__equality,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zmod__equality2,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zdiv__equality_H,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmult__div__cancel,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Powp__mono,axiom, % 242.21/242.41 ! [V_B_2,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__pos__neg__trivial,axiom, % 242.21/242.41 ! [V_b,V_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.41 => ( 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))) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__zmod,axiom, % 242.21/242.41 ! [V_k_2,V_n_2,V_Pa_2] : % 242.21/242.41 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 242.21/242.41 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 242.21/242.41 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 242.21/242.41 => ! [B_i,B_j] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 242.21/242.41 & 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) ) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 242.21/242.41 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => ! [B_i,B_j] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 & 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) ) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmult2__lemma__aux3,axiom, % 242.21/242.41 ! [V_q,V_b,V_r,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmult2__lemma__aux4,axiom, % 242.21/242.41 ! [V_q,V_b,V_r,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmult2__lemma__aux1,axiom, % 242.21/242.41 ! [V_q,V_r,V_b,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmult2__lemma__aux2,axiom, % 242.21/242.41 ! [V_q,V_r,V_b,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.41 => 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))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divmod__int__rel__mod__eq,axiom, % 242.21/242.41 ! [V_y,V_q_1,V_b_1,V_a_1] : % 242.21/242.41 ( 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) % 242.21/242.41 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 242.21/242.41 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__zmult2__eq,axiom, % 242.21/242.41 ! [V_b,V_a,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zminus2__eq__if,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zdiv__zminus1__eq__if,axiom, % 242.21/242.41 ! [V_a,V_b] : % 242.21/242.41 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.41 => 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)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_z3mod__def,axiom, % 242.21/242.41 ! [V_k,V_l] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 242.21/242.41 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Nitpick_Oint__gcd__def,axiom, % 242.21/242.41 ! [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)))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_setprod__pos__nat,axiom, % 242.21/242.41 ! [V_f_2,V_S_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.41 => ( ! [B_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.21/242.41 => 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))) ) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_card__quotient__disjoint,axiom, % 242.21/242.41 ! [V_r_2,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( 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) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__less__eq__dividend,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__less,axiom, % 242.21/242.41 ! [V_n,V_m] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__distrib2,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__distrib,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotient__empty,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotient__is__empty2,axiom, % 242.21/242.41 ! [V_r_2,V_A_2,T_b] : % 242.21/242.41 ( 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) % 242.21/242.41 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotient__is__empty,axiom, % 242.21/242.41 ! [V_r_2,V_A_2,T_b] : % 242.21/242.41 ( 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)) % 242.21/242.41 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__1,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__Suc,axiom, % 242.21/242.41 ! [V_n,V_m] : % 242.21/242.41 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.21/242.41 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__less__divisor,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__eq__0__iff,axiom, % 242.21/242.41 ! [V_d_2,V_m_2] : % 242.21/242.41 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__geq,axiom, % 242.21/242.41 ! [V_n,V_m] : % 242.21/242.41 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__if,axiom, % 242.21/242.41 ! [V_n,V_m] : % 242.21/242.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 242.21/242.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.41 => 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) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__self3,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_le__mod__geq,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_zmod__int,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__add1__eq,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nat__gcd_Osimps,axiom, % 242.21/242.41 ! [V_x,V_y] : % 242.21/242.41 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 242.21/242.41 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__le__divisor,axiom, % 242.21/242.41 ! [V_m,V_n] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult__self4,axiom, % 242.21/242.41 ! [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) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__mult2__eq,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mult1__eq,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Omod__div__equality_H,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__div__cancel,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_div__mod__equality_H,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotient__diff1,axiom, % 242.21/242.41 ! [V_a_2,V_A_2,V_r_2,T_b] : % 242.21/242.41 ( 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) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__lemma,axiom, % 242.21/242.41 ! [V_q,V_b,V_r,V_c] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_split__mod,axiom, % 242.21/242.41 ! [V_k_2,V_n_2,V_Pa_2] : % 242.21/242.41 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 242.21/242.41 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 242.21/242.41 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.41 => ! [B_i,B_j] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 242.21/242.41 => ( 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) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Suc__times__mod__eq,axiom, % 242.21/242.41 ! [V_m,V_k] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nat__mod__distrib,axiom, % 242.21/242.41 ! [V_y,V_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 242.21/242.41 => 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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotient__def,axiom, % 242.21/242.41 ! [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)))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_singleton__quotient,axiom, % 242.21/242.41 ! [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))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_finite__UN__I,axiom, % 242.21/242.41 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( ! [B_a] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 242.21/242.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotientI,axiom, % 242.21/242.41 ! [V_r_2,V_A_2,V_x_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Image__eq__UN,axiom, % 242.21/242.41 ! [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))))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Image__Int__subset,axiom, % 242.21/242.41 ! [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)))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Image__UN,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotientE,axiom, % 242.21/242.41 ! [V_r_2,V_A_2,V_X_2,T_b] : % 242.21/242.41 ( 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))) % 242.21/242.41 => ~ ! [B_x] : % 242.21/242.41 ( 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)))) % 242.21/242.41 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Image__empty,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Image__mono,axiom, % 242.21/242.41 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 242.21/242.41 ( 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)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 242.21/242.41 => 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Un__Image,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Image__Un,axiom, % 242.21/242.41 ! [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)) ). % 242.21/242.41 % 242.21/242.41 fof(fact_nat__mod__eq__lemma,axiom, % 242.21/242.41 ! [V_y,V_n,V_x] : % 242.21/242.41 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 242.21/242.41 => ? [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)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_ex__bij__betw__finite__nat,axiom, % 242.21/242.41 ! [V_M_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 242.21/242.41 => ? [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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osize_I13_J,axiom, % 242.21/242.41 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osize_I5_J,axiom, % 242.21/242.41 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln__elim__cases_I5_J,axiom, % 242.21/242.41 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 242.21/242.41 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_n_2,V_t_2) % 242.21/242.41 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) ) % 242.21/242.41 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_OIfTrue,axiom, % 242.21/242.41 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2) % 242.21/242.41 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_OIfFalse,axiom, % 242.21/242.41 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] : % 242.21/242.41 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2) % 242.21/242.41 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_OIfFalse,axiom, % 242.21/242.41 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] : % 242.21/242.41 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_OIfTrue,axiom, % 242.21/242.41 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc__elim__cases_I5_J,axiom, % 242.21/242.41 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2)) % 242.21/242.41 => ( ( hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) ) % 242.21/242.41 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I4_J,axiom, % 242.21/242.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 242.21/242.41 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) % 242.21/242.41 <=> ( V_fun_2 = V_fun_H_2 % 242.21/242.41 & V_com1_2 = V_com1_H_2 % 242.21/242.41 & V_com2_2 = V_com2_H_2 ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_less__by__empty,axiom, % 242.21/242.41 ! [V_B_2,T_b,V_A_2] : % 242.21/242.41 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_Oequations_I5_J,axiom, % 242.21/242.41 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] : % 242.21/242.41 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2),V_a2_2,V_a4_2,V_a5_2) % 242.21/242.41 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) % 242.21/242.41 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_Oequations_I6_J,axiom, % 242.21/242.41 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] : % 242.21/242.41 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2),V_a2_2,V_a4_2,V_a5_2) % 242.21/242.41 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) % 242.21/242.41 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_Oequations_I5_J,axiom, % 242.21/242.41 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2)) % 242.21/242.41 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) % 242.21/242.41 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_Oequations_I6_J,axiom, % 242.21/242.41 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2)) % 242.21/242.41 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) % 242.21/242.41 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I54_J,axiom, % 242.21/242.41 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I55_J,axiom, % 242.21/242.41 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I44_J,axiom, % 242.21/242.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I45_J,axiom, % 242.21/242.41 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I14_J,axiom, % 242.21/242.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I15_J,axiom, % 242.21/242.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ). % 242.21/242.41 % 242.21/242.41 fof(fact_hoare__derivs_OIf,axiom, % 242.21/242.41 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : % 242.21/242.41 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 242.21/242.41 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 242.21/242.41 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_fold__image__1,axiom, % 242.21/242.41 ! [V_f_2,V_S_2,T_b,T_c] : % 242.21/242.41 ( class_Groups_Ocomm__monoid__mult(T_c) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 242.21/242.41 => ( ! [B_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.21/242.41 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_card_Oneutral,axiom, % 242.21/242.41 ! [V_A_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.41 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.21/242.41 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mod__induct__0,axiom, % 242.21/242.41 ! [V_i_2,V_Pa_2,V_p_2] : % 242.21/242.41 ( ! [B_i] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 242.21/242.41 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 242.21/242.41 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 242.21/242.41 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_peek__and__def,axiom, % 242.21/242.41 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2)) % 242.21/242.41 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2)) % 242.21/242.41 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Loop,axiom, % 242.21/242.41 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : % 242.21/242.41 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 242.21/242.41 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_fold__image__cong,axiom, % 242.21/242.41 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 242.21/242.41 ( class_Groups_Oab__semigroup__mult(T_c) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( ! [B_x] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.41 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Max__eqI,axiom, % 242.21/242.41 ! [V_x_2,V_A_2,T_b] : % 242.21/242.41 ( class_Orderings_Olinorder(T_b) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( ! [B_y] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.41 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Min__eqI,axiom, % 242.21/242.41 ! [V_x_2,V_A_2,T_b] : % 242.21/242.41 ( class_Orderings_Olinorder(T_b) % 242.21/242.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.41 => ( ! [B_y] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.41 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_OWhileTrue,axiom, % 242.21/242.41 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 242.21/242.41 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2) % 242.21/242.41 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2) % 242.21/242.41 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_OWhileFalse,axiom, % 242.21/242.41 ! [V_n_2,V_c_2,V_s_2,V_b_2] : % 242.21/242.41 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_OWhileFalse,axiom, % 242.21/242.41 ! [V_c_2,V_s_2,V_b_2] : % 242.21/242.41 ( ~ hBOOL(hAPP(V_b_2,V_s_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_OWhileTrue,axiom, % 242.21/242.41 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] : % 242.21/242.41 ( hBOOL(hAPP(V_b_2,V_s0_2)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2)) % 242.21/242.41 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2)) % 242.21/242.41 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I59_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I58_J,axiom, % 242.21/242.41 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I5_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 242.21/242.41 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 242.21/242.41 <=> ( V_fun_2 = V_fun_H_2 % 242.21/242.41 & V_com_2 = V_com_H_2 ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_Oequations_I8_J,axiom, % 242.21/242.41 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2)) % 242.21/242.41 <=> ( ( V_a5_2 = V_a2_2 % 242.21/242.41 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 242.21/242.41 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & ? [B_s1] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evalc_Oequations_I7_J,axiom, % 242.21/242.41 ! [V_a2_2,V_a3_2,V_a1_2] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2)) % 242.21/242.41 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 => ? [B_s1] : % 242.21/242.41 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1)) % 242.21/242.41 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_Oequations_I7_J,axiom, % 242.21/242.41 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 242.21/242.41 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2) % 242.21/242.41 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 => ? [B_s1] : % 242.21/242.41 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 242.21/242.41 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_evaln_Oequations_I8_J,axiom, % 242.21/242.41 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] : % 242.21/242.41 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2) % 242.21/242.41 <=> ( ( V_a6_2 = V_a2_2 % 242.21/242.41 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) ) % 242.21/242.41 | ( hBOOL(hAPP(V_a1_2,V_a2_2)) % 242.21/242.41 & ? [B_s1] : % 242.21/242.41 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1) % 242.21/242.41 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I17_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I16_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I47_J,axiom, % 242.21/242.41 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I46_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I53_J,axiom, % 242.21/242.41 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I52_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osize_I6_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osize_I14_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_expand__Suc,axiom, % 242.21/242.41 ! [V_v] : % 242.21/242.41 ( 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))) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_quotient__disj,axiom, % 242.21/242.41 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 242.21/242.41 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.41 => ( 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))) % 242.21/242.41 => ( 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))) % 242.21/242.41 => ( V_X_2 = V_Y_2 % 242.21/242.41 | 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)) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osize_I3_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osize_I11_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I38_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I39_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_of__nat__number__of__lemma,axiom, % 242.21/242.41 ! [V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => ( ( 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))) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( ~ 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))) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_of__nat__number__of__eq,axiom, % 242.21/242.41 ! [V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_number__of__reorient,axiom, % 242.21/242.41 ! [V_x_2,V_w_2,T_b] : % 242.21/242.41 ( class_Int_Onumber(T_b) % 242.21/242.41 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 242.21/242.41 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_eq__number__of,axiom, % 242.21/242.41 ! [V_y_2,V_x_2,T_b] : % 242.21/242.41 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.41 & class_Int_Oring__char__0(T_b) ) % 242.21/242.41 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 242.21/242.41 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I2_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 242.21/242.41 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) % 242.21/242.41 <=> ( V_loc_2 = V_loc_H_2 % 242.21/242.41 & V_fun_2 = V_fun_H_2 % 242.21/242.41 & V_com_2 = V_com_H_2 ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_of__int__number__of__eq,axiom, % 242.21/242.41 ! [V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_number__of__eq,axiom, % 242.21/242.41 ! [V_k,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I40_J,axiom, % 242.21/242.41 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I41_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I37_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I36_J,axiom, % 242.21/242.41 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I34_J,axiom, % 242.21/242.41 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I35_J,axiom, % 242.21/242.41 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I11_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 242.21/242.41 % 242.21/242.41 fof(fact_com_Osimps_I10_J,axiom, % 242.21/242.41 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ). % 242.21/242.41 % 242.21/242.41 fof(fact_le__number__of__eq__not__less,axiom, % 242.21/242.41 ! [V_w_2,V_v_2,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Orderings_Olinorder(T_b) ) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> ~ 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))) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_left__distrib__number__of,axiom, % 242.21/242.41 ! [V_v,V_b,V_a,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Rings_Osemiring(T_b) ) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_right__distrib__number__of,axiom, % 242.21/242.41 ! [V_c,V_b,V_v,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Rings_Osemiring(T_b) ) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_left__diff__distrib__number__of,axiom, % 242.21/242.41 ! [V_v,V_b,V_a,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Rings_Oring(T_b) ) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_right__diff__distrib__number__of,axiom, % 242.21/242.41 ! [V_c,V_b,V_v,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Rings_Oring(T_b) ) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_le__number__of,axiom, % 242.21/242.41 ! [V_y_2,V_x_2,T_b] : % 242.21/242.41 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.41 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_less__number__of,axiom, % 242.21/242.41 ! [V_y_2,V_x_2,T_b] : % 242.21/242.41 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.41 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.41 => ( 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))) % 242.21/242.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_min__number__of,axiom, % 242.21/242.41 ! [V_v,V_u,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Orderings_Oord(T_b) ) % 242.21/242.41 => ( ( 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))) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( ~ 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))) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_max__number__of,axiom, % 242.21/242.41 ! [V_v,V_u,T_b] : % 242.21/242.41 ( ( class_Int_Onumber(T_b) % 242.21/242.41 & class_Orderings_Oord(T_b) ) % 242.21/242.41 => ( ( 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))) % 242.21/242.41 => 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) ) % 242.21/242.41 & ( ~ 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))) % 242.21/242.41 => 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) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_number__of__add,axiom, % 242.21/242.41 ! [V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_add__number__of__eq,axiom, % 242.21/242.41 ! [V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_add__number__of__left,axiom, % 242.21/242.41 ! [V_z,V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_number__of__mult,axiom, % 242.21/242.41 ! [V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_arith__simps_I32_J,axiom, % 242.21/242.41 ! [V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_mult__number__of__left,axiom, % 242.21/242.41 ! [V_z,V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_number__of__diff,axiom, % 242.21/242.41 ! [V_w,V_v,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_number__of__minus,axiom, % 242.21/242.41 ! [V_w,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_arith__simps_I30_J,axiom, % 242.21/242.41 ! [V_w,T_a] : % 242.21/242.41 ( class_Int_Onumber__ring(T_a) % 242.21/242.41 => 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)) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_Ints__number__of,axiom, % 242.21/242.41 ! [V_w_2,T_b] : % 242.21/242.41 ( class_Int_Onumber__ring(T_b) % 242.21/242.41 => 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))) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__eq__eq__number__of1,axiom, % 242.21/242.41 ! [V_a_2,V_w_2,V_b_2,T_b] : % 242.21/242.41 ( ( class_Fields_Ofield__inverse__zero(T_b) % 242.21/242.41 & class_Int_Onumber(T_b) ) % 242.21/242.41 => ( 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 % 242.21/242.41 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => 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)) ) % 242.21/242.41 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 242.21/242.41 % 242.21/242.41 fof(fact_divide__eq__eq__number__of,axiom, % 242.21/242.41 ! [V_w_2,V_c_2,V_b_2,T_b] : % 242.21/242.41 ( ( class_Fields_Ofield__inverse__zero(T_b) % 242.21/242.41 & class_Int_Onumber(T_b) ) % 242.21/242.41 => ( 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) % 242.21/242.41 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.41 => 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) ) % 242.21/242.42 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__divide__eq__number__of,axiom, % 242.21/242.42 ! [V_c_2,V_b_2,V_w_2,T_b] : % 242.21/242.42 ( ( class_Fields_Ofield__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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) % 242.21/242.42 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 => 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 ) % 242.21/242.42 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__divide__eq__number__of1,axiom, % 242.21/242.42 ! [V_w_2,V_b_2,V_a_2,T_b] : % 242.21/242.42 ( ( class_Fields_Ofield__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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)) % 242.21/242.42 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 => 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 ) % 242.21/242.42 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__number__of__diff1,axiom, % 242.21/242.42 ! [V_c,V_w,V_v,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__number__of__mult,axiom, % 242.21/242.42 ! [V_z,V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__number__of__eq,axiom, % 242.21/242.42 ! [V_w,V_v,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__less__eq__number__of1,axiom, % 242.21/242.42 ! [V_a_2,V_w_2,V_b_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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)) % 242.21/242.42 <=> ( ( 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))) % 242.21/242.42 => 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)))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__less__eq__number__of,axiom, % 242.21/242.42 ! [V_w_2,V_c_2,V_b_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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))) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__divide__eq__number__of,axiom, % 242.21/242.42 ! [V_c_2,V_b_2,V_w_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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))) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__divide__eq__number__of1,axiom, % 242.21/242.42 ! [V_w_2,V_b_2,V_a_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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)))) % 242.21/242.42 <=> ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_abs__number__of,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_a) % 242.21/242.42 & class_Rings_Olinordered__idom(T_a) ) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__number__of__diff2,axiom, % 242.21/242.42 ! [V_w,V_c,V_v,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__divide__eq__number__of1,axiom, % 242.21/242.42 ! [V_w_2,V_b_2,V_a_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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)))) % 242.21/242.42 <=> ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__divide__eq__number__of,axiom, % 242.21/242.42 ! [V_c_2,V_b_2,V_w_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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))) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__le__eq__number__of,axiom, % 242.21/242.42 ! [V_w_2,V_c_2,V_b_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 242.21/242.42 => 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))) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__le__eq__number__of1,axiom, % 242.21/242.42 ! [V_a_2,V_w_2,V_b_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => ( 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)) % 242.21/242.42 <=> ( ( 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))) % 242.21/242.42 => 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)))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_equiv__class__self,axiom, % 242.21/242.42 ! [V_a_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.42 => 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)))))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_UN__equiv__class,axiom, % 242.21/242.42 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.42 => 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) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_UN__equiv__class2,axiom, % 242.21/242.42 ! [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] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 242.21/242.42 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 242.21/242.42 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 242.21/242.42 => 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) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_one__mod__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_one__div__nat__number__of,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__eq__number__of__int__code,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__number__of__int__code,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__is__id,axiom, % 242.21/242.42 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 242.21/242.42 % 242.21/242.42 fof(fact_times__numeral__code_I5_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_plus__numeral__code_I9_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__numeral__code_I5_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_int__number__of__def,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__def,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_congruent2__implies__congruent,axiom, % 242.21/242.42 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 242.21/242.42 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.42 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__numeral__code_I6_J,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__imp__number__of__eq__0,axiom, % 242.21/242.42 ! [V_v] : % 242.21/242.42 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_int__eq__iff__number__of,axiom, % 242.21/242.42 ! [V_v_2,V_m_2] : % 242.21/242.42 ( 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) % 242.21/242.42 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 242.21/242.42 & 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H_2,V_v_2] : % 242.21/242.42 ( 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) % 242.21/242.42 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 242.21/242.42 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 242.21/242.42 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__add__left,axiom, % 242.21/242.42 ! [V_k,V_v_H,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 242.21/242.42 => 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) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_int__nat__number__of,axiom, % 242.21/242.42 ! [V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mod__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 242.21/242.42 => 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))) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_congruent2__implies__congruent__UN,axiom, % 242.21/242.42 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 242.21/242.42 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 242.21/242.42 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 242.21/242.42 => 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)) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__nat__number__of,axiom, % 242.21/242.42 ! [V_n,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__nat__number__of__number__of,axiom, % 242.21/242.42 ! [V_w,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__nat__number__of__add,axiom, % 242.21/242.42 ! [V_n,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__nat__number__of,axiom, % 242.21/242.42 ! [V_v_2,V_v_H_2] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_min__number__of__Suc,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_min__Suc__number__of,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I19_J,axiom, % 242.21/242.42 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I1_J,axiom, % 242.21/242.42 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I2_J,axiom, % 242.21/242.42 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_succ__pred,axiom, % 242.21/242.42 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 242.21/242.42 % 242.21/242.42 fof(fact_Pls__def,axiom, % 242.21/242.42 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__Pls,axiom, % 242.21/242.42 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Pls,axiom, % 242.21/242.42 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Pls__right,axiom, % 242.21/242.42 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__Pls,axiom, % 242.21/242.42 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 242.21/242.42 % 242.21/242.42 fof(fact_semiring__norm_I112_J,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__Pls,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__numeral__0__right,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__numeral__0,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_bin__less__0__simps_I1_J,axiom, % 242.21/242.42 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_semiring__norm_I113_J,axiom, % 242.21/242.42 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__Pls,axiom, % 242.21/242.42 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__is__num__zero,axiom, % 242.21/242.42 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__diff__number__of,axiom, % 242.21/242.42 ! [V_m,V_v] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_not__neg__number__of__Pls,axiom, % 242.21/242.42 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__1__add__number__of,axiom, % 242.21/242.42 ! [V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__add__1,axiom, % 242.21/242.42 ! [V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__iff__pred__less,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__def,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__diff__1,axiom, % 242.21/242.42 ! [V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__Numeral0,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.42 & class_Int_Onumber__ring(T_a) ) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__0__number__of,axiom, % 242.21/242.42 ! [V_v_2] : % 242.21/242.42 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__number__of__0,axiom, % 242.21/242.42 ! [V_v_2] : % 242.21/242.42 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of2,axiom, % 242.21/242.42 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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H_2,V_v_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 242.21/242.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H_2,V_v_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_succ__def,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__special_I3_J,axiom, % 242.21/242.42 ! [V_x_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__special_I1_J,axiom, % 242.21/242.42 ! [V_y_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__special_I1_J,axiom, % 242.21/242.42 ! [V_y_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__special_I3_J,axiom, % 242.21/242.42 ! [V_x_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__0__number__of,axiom, % 242.21/242.42 ! [V_v_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 242.21/242.42 => 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)) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__succ,axiom, % 242.21/242.42 ! [V_k,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__pred,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__mult__left,axiom, % 242.21/242.42 ! [V_k,V_v_H,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__nat__number__of,axiom, % 242.21/242.42 ! [V_v_H,V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__number__of__pred__iff__0,axiom, % 242.21/242.42 ! [V_v_2] : % 242.21/242.42 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 242.21/242.42 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__number__of__Suc,axiom, % 242.21/242.42 ! [V_n_2,V_v_2] : % 242.21/242.42 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 242.21/242.42 <=> 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))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__eq__number__of,axiom, % 242.21/242.42 ! [V_v_2,V_n_2] : % 242.21/242.42 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 242.21/242.42 <=> 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))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__case__number__of,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__Suc__number__of,axiom, % 242.21/242.42 ! [V_v_2,V_n_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> 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))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__number__of__Suc,axiom, % 242.21/242.42 ! [V_n_2,V_v_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__Suc__number__of,axiom, % 242.21/242.42 ! [V_v_2,V_n_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> 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))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__number__of__Suc,axiom, % 242.21/242.42 ! [V_n_2,V_v_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__nat__number__of,axiom, % 242.21/242.42 ! [V_v] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_max__number__of__Suc,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_max__Suc__number__of,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__case__add__eq__if,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__rec__add__eq__if,axiom, % 242.21/242.42 ! [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))))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__rec__number__of,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_UN__equiv__class__type2,axiom, % 242.21/242.42 ! [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] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 242.21/242.42 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 242.21/242.42 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( ! [B_x1] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 242.21/242.42 => ! [B_x2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 242.21/242.42 => 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)) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_UN__equiv__class__type,axiom, % 242.21/242.42 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( ! [B_x] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 242.21/242.42 => 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)) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__rec__0,axiom, % 242.21/242.42 ! [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 ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__rec__Suc,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__special_I3_J,axiom, % 242.21/242.42 ! [V_x_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 <=> 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__special_I1_J,axiom, % 242.21/242.42 ! [V_y_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 242.21/242.42 <=> 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__number__of__odd__number__of,axiom, % 242.21/242.42 ! [V_v_2,V_w_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zpower__number__of__odd,axiom, % 242.21/242.42 ! [V_z_2,V_w_2] : % 242.21/242.42 ( ( 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))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_iszero__number__of__Bit1,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_a) % 242.21/242.42 & class_Int_Oring__char__0(T_a) ) % 242.21/242.42 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I34_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__eq__int__code_I16_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I17_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__int__code_I16_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I51_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 242.21/242.42 <=> V_k_2 = V_l_2 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I46_J,axiom, % 242.21/242.42 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I39_J,axiom, % 242.21/242.42 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 242.21/242.42 % 242.21/242.42 fof(fact_not__iszero__Numeral1,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_iszero__def,axiom, % 242.21/242.42 ! [V_z_2,T_b] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_b) % 242.21/242.42 => ( c_Int_Oiszero(T_b,V_z_2) % 242.21/242.42 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_iszero__0,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_a) % 242.21/242.42 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_not__iszero__1,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_a) % 242.21/242.42 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_bin__less__0__simps_I4_J,axiom, % 242.21/242.42 ! [V_w_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I22_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I12_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Bit1__def,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__number__of__Bit1,axiom, % 242.21/242.42 ! [V_w_2] : % 242.21/242.42 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 242.21/242.42 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__Bit1,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_succ__Pls,axiom, % 242.21/242.42 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__Bit1,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__numeral__1,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__numeral__1__right,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_semiring__norm_I110_J,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_numeral__1__eq__1,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I29_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I5_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__Numeral1,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( ( class_Fields_Ofield(T_a) % 242.21/242.42 & class_Int_Onumber__ring(T_a) ) % 242.21/242.42 => 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 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__numeral__1,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( ( class_Fields_Ofield(T_a) % 242.21/242.42 & class_Int_Onumber__ring(T_a) ) % 242.21/242.42 => 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 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__special_I2_J,axiom, % 242.21/242.42 ! [V_y_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 242.21/242.42 <=> 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__special_I4_J,axiom, % 242.21/242.42 ! [V_x_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 242.21/242.42 <=> 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))))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_one__is__num__one,axiom, % 242.21/242.42 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__numeral__1__eq__1,axiom, % 242.21/242.42 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Numeral1__eq1__nat,axiom, % 242.21/242.42 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 242.21/242.42 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_iszero__Numeral0,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_numeral__3__eq__3,axiom, % 242.21/242.42 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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_numeral__1__eq__Suc__0,axiom, % 242.21/242.42 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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power3__eq__cube,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 242.21/242.42 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))))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc3__eq__add__3,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 242.21/242.42 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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 242.21/242.42 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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__special_I4_J,axiom, % 242.21/242.42 ! [V_x_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_le__special_I2_J,axiom, % 242.21/242.42 ! [V_y_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__special_I2_J,axiom, % 242.21/242.42 ! [V_y_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__special_I4_J,axiom, % 242.21/242.42 ! [V_x_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Rings_Olinordered__idom(T_b) ) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__special_I2_J,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__special_I3_J,axiom, % 242.21/242.42 ! [V_v,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__diff__eq__diff__pred,axiom, % 242.21/242.42 ! [V_m,V_n] : % 242.21/242.42 ( 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)) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__mod__eq__add3__mod,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mod__Suc__eq__mod__add3,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__div__eq__add3__div,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div__Suc__eq__div__add3,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__number__of__eq,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 242.21/242.42 <=> 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__special_I2_J,axiom, % 242.21/242.42 ! [V_v,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__special_I1_J,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__Bit1,axiom, % 242.21/242.42 ! [V_w_2] : % 242.21/242.42 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 242.21/242.42 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 242.21/242.42 => 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__number__of__odd,axiom, % 242.21/242.42 ! [V_z_2,V_w_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmod__number__of__Bit1,axiom, % 242.21/242.42 ! [V_v,V_w] : % 242.21/242.42 ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__zmod__mult__2,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_arith__series__int,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__zdiv__mult__2,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I49_J,axiom, % 242.21/242.42 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I50_J,axiom, % 242.21/242.42 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Bit0__Pls,axiom, % 242.21/242.42 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I38_J,axiom, % 242.21/242.42 ! [V_l_2] : % 242.21/242.42 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 242.21/242.42 <=> c_Int_OPls = V_l_2 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I44_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 242.21/242.42 <=> V_k_2 = c_Int_OPls ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__int__code_I13_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I14_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I48_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 242.21/242.42 <=> V_k_2 = V_l_2 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__Bit0,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__Bit0,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Bit0__Bit0,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Bit0__def,axiom, % 242.21/242.42 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I7_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__eq__int__code_I13_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I31_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_bin__less__0__simps_I3_J,axiom, % 242.21/242.42 ! [V_w_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I27_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I21_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__eq__int__code_I14_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I32_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I4_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I10_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I16_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__int__code_I15_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Bit1__Bit0,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Bit0__Bit1,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I3_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I10_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I9_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zdiv__number__of__Bit0,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__number__of__Bit0,axiom, % 242.21/242.42 ! [V_w_2] : % 242.21/242.42 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 242.21/242.42 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__Bit1,axiom, % 242.21/242.42 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__Bit0,axiom, % 242.21/242.42 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_iszero__number__of__Bit0,axiom, % 242.21/242.42 ! [V_w_2,T_b] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_b) % 242.21/242.42 & class_Int_Oring__char__0(T_b) ) % 242.21/242.42 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 242.21/242.42 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_succ__Bit0,axiom, % 242.21/242.42 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 242.21/242.42 % 242.21/242.42 fof(fact_succ__Bit1,axiom, % 242.21/242.42 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__number__of__Bit0,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__Bit0,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I15_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__int__code_I14_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I33_J,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__eq__int__code_I15_J,axiom, % 242.21/242.42 ! [V_k2_2,V_k1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_card__UNIV__bool,axiom, % 242.21/242.42 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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__Bit1,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I8_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Bit1__Bit1,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__number__of__even,axiom, % 242.21/242.42 ! [V_w_2,V_z_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zpower__number__of__even,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_double__number__of__Bit0,axiom, % 242.21/242.42 ! [V_w,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of1,axiom, % 242.21/242.42 ! [V_n] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( 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)))) % 242.21/242.42 & 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 242.21/242.42 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__number__of__even__number__of,axiom, % 242.21/242.42 ! [V_w_2,V_v_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__2,axiom, % 242.21/242.42 ! [V_z,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__2__right,axiom, % 242.21/242.42 ! [V_z,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_one__add__one__is__two,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__power2,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__eq__power2,axiom, % 242.21/242.42 ! [V_a_2,T_b] : % 242.21/242.42 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 242.21/242.42 => ( 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) % 242.21/242.42 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_numeral__2__eq__2,axiom, % 242.21/242.42 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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_semiring__norm_I115_J,axiom, % 242.21/242.42 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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__eq__square,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 242.21/242.42 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))))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__2__eq__Suc,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__2__eq__Suc_H,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_one__power2,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__minus,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Rings_Oring__1(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__mult__2__right,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__mult__2,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__even__eq,axiom, % 242.21/242.42 ! [V_n,V_a,T_a] : % 242.21/242.42 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 242.21/242.42 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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 242.21/242.42 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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__abs,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_abs__power2,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__1__add__1,axiom, % 242.21/242.42 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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mod2__Suc__Suc,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div2__Suc__Suc,axiom, % 242.21/242.42 ! [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))))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmod__number__of__Bit0,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__self__div__2,axiom, % 242.21/242.42 ! [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 ). % 242.21/242.42 % 242.21/242.42 fof(fact_half__gt__zero,axiom, % 242.21/242.42 ! [V_r,T_a] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 242.21/242.42 & class_Int_Onumber__ring(T_a) ) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 242.21/242.42 => 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)))))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_half__gt__zero__iff,axiom, % 242.21/242.42 ! [V_r_2,T_b] : % 242.21/242.42 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 242.21/242.42 & class_Int_Onumber__ring(T_b) ) % 242.21/242.42 => ( 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)))))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__le__power2,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => 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)))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__le__imp__le,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.42 => ( 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)))))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__eq__imp__eq,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.42 => ( 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)))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.42 => V_x = V_y ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__less__0,axiom, % 242.21/242.42 ! [V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => ~ 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__less__power2,axiom, % 242.21/242.42 ! [V_a_2,T_b] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.42 => ( 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)))))) % 242.21/242.42 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sum__power2__eq__zero__iff,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,T_b] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.42 => ( 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) % 242.21/242.42 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__eq__square__number__of,axiom, % 242.21/242.42 ! [V_w,T_b] : % 242.21/242.42 ( ( class_Groups_Omonoid__mult(T_b) % 242.21/242.42 & class_Int_Onumber(T_b) ) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_less__2__cases,axiom, % 242.21/242.42 ! [V_n] : % 242.21/242.42 ( 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))))) % 242.21/242.42 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.42 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__2,axiom, % 242.21/242.42 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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__eq__1__iff,axiom, % 242.21/242.42 ! [V_a_2,T_b] : % 242.21/242.42 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 242.21/242.42 => ( 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) % 242.21/242.42 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 242.21/242.42 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 242.21/242.42 ! [V_n,V_x,T_a] : % 242.21/242.42 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__minus__even,axiom, % 242.21/242.42 ! [V_n,V_a,T_a] : % 242.21/242.42 ( class_Rings_Oring__1(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__less__imp__less,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__semidom(T_a) % 242.21/242.42 => ( 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)))))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sum__power2__ge__zero,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => 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))))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sum__power2__le__zero__iff,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,T_b] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.42 => ( 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))) % 242.21/242.42 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_not__sum__power2__lt__zero,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => ~ 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sum__power2__gt__zero__iff,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,T_b] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_b) % 242.21/242.42 => ( 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))))))) % 242.21/242.42 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 242.21/242.42 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__sum,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__le__even__power_H,axiom, % 242.21/242.42 ! [V_n,V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__odd__eq,axiom, % 242.21/242.42 ! [V_n,V_a,T_a] : % 242.21/242.42 ( class_Groups_Omonoid__mult(T_a) % 242.21/242.42 => 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))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 242.21/242.42 ! [V_n,V_x,T_a] : % 242.21/242.42 ( class_Rings_Ocomm__semiring__1(T_a) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__minus1__even,axiom, % 242.21/242.42 ! [V_n,T_a] : % 242.21/242.42 ( class_Rings_Oring__1(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zdiv__number__of__Bit1,axiom, % 242.21/242.42 ! [V_v,V_w] : % 242.21/242.42 ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mod2__gr__0,axiom, % 242.21/242.42 ! [V_m_2] : % 242.21/242.42 ( 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)))))) % 242.21/242.42 <=> 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div__2__gt__zero,axiom, % 242.21/242.42 ! [V_n] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 242.21/242.42 => 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)))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power2__diff,axiom, % 242.21/242.42 ! [V_y,V_x,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_odd__0__le__power__imp__0__le,axiom, % 242.21/242.42 ! [V_n,V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => ( 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))))) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_odd__power__less__zero,axiom, % 242.21/242.42 ! [V_n,V_a,T_a] : % 242.21/242.42 ( class_Rings_Olinordered__idom(T_a) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__minus1__odd,axiom, % 242.21/242.42 ! [V_n,T_a] : % 242.21/242.42 ( class_Rings_Oring__1(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Suc__n__div__2__gt__zero,axiom, % 242.21/242.42 ! [V_n] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.42 => 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)))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_of__nat__double,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_a) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pos__zmod__mult__2,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pos__zdiv__mult__2,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_int__of__code,axiom, % 242.21/242.42 ! [V_k] : % 242.21/242.42 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.42 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.42 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.42 => ( ( 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) % 242.21/242.42 => 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)))))) ) % 242.21/242.42 & ( 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) % 242.21/242.42 => 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)) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_of__int__num,axiom, % 242.21/242.42 ! [V_k_2,T_b] : % 242.21/242.42 ( class_Rings_Oring__1(T_b) % 242.21/242.42 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 242.21/242.42 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => 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))))) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__m1__odd,axiom, % 242.21/242.42 ! [V_n,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I45_J,axiom, % 242.21/242.42 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I42_J,axiom, % 242.21/242.42 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I24_J,axiom, % 242.21/242.42 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_code__numeral__zero__minus__one,axiom, % 242.21/242.42 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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I7_J,axiom, % 242.21/242.42 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I37_J,axiom, % 242.21/242.42 c_Int_OPls != c_Int_OMin ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I40_J,axiom, % 242.21/242.42 c_Int_OMin != c_Int_OPls ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I47_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 242.21/242.42 <=> V_k_2 = c_Int_OMin ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I43_J,axiom, % 242.21/242.42 ! [V_l_2] : % 242.21/242.42 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 242.21/242.42 <=> c_Int_OMin = V_l_2 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Bit1__Min,axiom, % 242.21/242.42 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 242.21/242.42 % 242.21/242.42 fof(fact_bin__less__0__simps_I2_J,axiom, % 242.21/242.42 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I23_J,axiom, % 242.21/242.42 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I20_J,axiom, % 242.21/242.42 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I26_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I30_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I3_J,axiom, % 242.21/242.42 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I6_J,axiom, % 242.21/242.42 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I13_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I9_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I28_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I8_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__number__of__Pls__Min,axiom, % 242.21/242.42 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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Int_OMin__def,axiom, % 242.21/242.42 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__Min,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_neg__number__of__Min,axiom, % 242.21/242.42 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__Pls,axiom, % 242.21/242.42 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Min,axiom, % 242.21/242.42 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 242.21/242.42 % 242.21/242.42 fof(fact_add__Min__right,axiom, % 242.21/242.42 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__Min,axiom, % 242.21/242.42 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nonzero__number__of__Min,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_succ__Min,axiom, % 242.21/242.42 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I2_J,axiom, % 242.21/242.42 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__minus1__right,axiom, % 242.21/242.42 ! [V_z,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mult__minus1,axiom, % 242.21/242.42 ! [V_z,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_arith__simps_I31_J,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_number__of__Min,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_abs__minus__one,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_a) % 242.21/242.42 & class_Rings_Olinordered__idom(T_a) ) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divide__minus1,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.42 & class_Int_Onumber__ring(T_a) ) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I11_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rel__simps_I25_J,axiom, % 242.21/242.42 ! [V_k_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 242.21/242.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmod__minus1__right,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I4_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus__Min,axiom, % 242.21/242.42 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 242.21/242.42 ! [V_n,V_m] : % 242.21/242.42 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 242.21/242.42 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 242.21/242.42 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmult__eq__1__iff,axiom, % 242.21/242.42 ! [V_n_2,V_m_2] : % 242.21/242.42 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 242.21/242.42 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 242.21/242.42 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 242.21/242.42 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 242.21/242.42 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I6_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_diff__bin__simps_I5_J,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_of__int__m1,axiom, % 242.21/242.42 ! [T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zdiv__minus1__right,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zero__code__numeral__code,axiom, % 242.21/242.42 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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_minus1__divide,axiom, % 242.21/242.42 ! [V_x,T_a] : % 242.21/242.42 ( ( class_Fields_Ofield__inverse__zero(T_a) % 242.21/242.42 & class_Int_Onumber__ring(T_a) ) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_abs__power__minus__one,axiom, % 242.21/242.42 ! [V_n,T_a] : % 242.21/242.42 ( ( class_Int_Onumber__ring(T_a) % 242.21/242.42 & class_Rings_Olinordered__idom(T_a) ) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div__eq__minus1,axiom, % 242.21/242.42 ! [V_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div__pos__neg__trivial,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.42 => ( 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))) % 242.21/242.42 => 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) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmod__minus1,axiom, % 242.21/242.42 ! [V_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_one__code__numeral__code,axiom, % 242.21/242.42 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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_power__m1__even,axiom, % 242.21/242.42 ! [V_n,T_a] : % 242.21/242.42 ( class_Int_Onumber__ring(T_a) % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nitpick_OFrac__def,axiom, % 242.21/242.42 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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_int__ge__less__than2__def,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_int__ge__less__than__def,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_inj__graph,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nitpick_Oprod__def,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_nat__of__aux__code,axiom, % 242.21/242.42 ! [V_n,V_i] : % 242.21/242.42 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.42 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 242.21/242.42 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__rel__def,axiom, % 242.21/242.42 ! [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))))))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__correct,axiom, % 242.21/242.42 ! [V_a,V_b] : % 242.21/242.42 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmult2__lemma,axiom, % 242.21/242.42 ! [V_c,V_r,V_q,V_b,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 242.21/242.42 => 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)))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_code__numeral_Osize_I1_J,axiom, % 242.21/242.42 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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nats__number__of,axiom, % 242.21/242.42 ! [V_w_2,T_b] : % 242.21/242.42 ( class_Int_Onumber__ring(T_b) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sup__Un__eq2,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 <=> 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__subset__eq2,axiom, % 242.21/242.42 ! [V_S_2,V_R_2,T_c,T_b] : % 242.21/242.42 ( 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))) % 242.21/242.42 <=> 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_bot__empty__eq2,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 <=> 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pred__equals__eq2,axiom, % 242.21/242.42 ! [V_S_2,V_R_2,T_c,T_b] : % 242.21/242.42 ( 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) % 242.21/242.42 <=> V_R_2 = V_S_2 ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_inf__Int__eq2,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 <=> 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_congruentD,axiom, % 242.21/242.42 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 242.21/242.42 => ( 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)) % 242.21/242.42 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_congruent2D,axiom, % 242.21/242.42 ! [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] : % 242.21/242.42 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 242.21/242.42 => ( 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)) % 242.21/242.42 => ( 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)) % 242.21/242.42 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Image__iff,axiom, % 242.21/242.42 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 242.21/242.42 <=> ? [B_x] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.42 & 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rev__ImageI,axiom, % 242.21/242.42 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.42 => ( 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)) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_unique__remainder,axiom, % 242.21/242.42 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => V_r = V_r_H ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_unique__quotient,axiom, % 242.21/242.42 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => V_q = V_q_H ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_self__remainder,axiom, % 242.21/242.42 ! [V_r,V_q,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__rel__0,axiom, % 242.21/242.42 ! [V_b] : % 242.21/242.42 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_SUP__UN__eq2,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 <=> 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_self__quotient,axiom, % 242.21/242.42 ! [V_r,V_q,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__rel__mod,axiom, % 242.21/242.42 ! [V_r,V_q,V_b,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__rel__div,axiom, % 242.21/242.42 ! [V_r,V_q,V_b,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nats__0,axiom, % 242.21/242.42 ! [T_b] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_b) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__mod__div,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nats__add,axiom, % 242.21/242.42 ! [V_b_2,V_a_2,T_b] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_b) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 242.21/242.42 => 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))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nats__mult,axiom, % 242.21/242.42 ! [V_b_2,V_a_2,T_b] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_b) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 242.21/242.42 => 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))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nats__1,axiom, % 242.21/242.42 ! [T_b] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_b) % 242.21/242.42 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_of__nat__in__Nats,axiom, % 242.21/242.42 ! [V_n_2,T_b] : % 242.21/242.42 ( class_Rings_Osemiring__1(T_b) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Image__singleton__iff,axiom, % 242.21/242.42 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 242.21/242.42 ( 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)))))) % 242.21/242.42 <=> 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_equiv__class__eq,axiom, % 242.21/242.42 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(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)) % 242.21/242.42 => 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_quotient__eqI,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 242.21/242.42 => ( hBOOL(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)) % 242.21/242.42 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_quotient__eq__iff,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 242.21/242.42 => ( V_X_2 = V_Y_2 % 242.21/242.42 <=> hBOOL(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)) ) ) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__rel__div__mod,axiom, % 242.21/242.42 ! [V_a,V_b] : % 242.21/242.42 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Image__singleton,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__equiv__class,axiom, % 242.21/242.42 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 242.21/242.42 ( 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)))) % 242.21/242.42 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 242.21/242.42 => hBOOL(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)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__equiv__class__iff,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 242.21/242.42 => ( 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)))) % 242.21/242.42 <=> hBOOL(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)) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_equiv__class__eq__iff,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(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)) % 242.21/242.42 <=> ( 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)))) % 242.21/242.42 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.42 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_equiv__class__subset,axiom, % 242.21/242.42 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(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)) % 242.21/242.42 => 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)))))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_eq__equiv__class__iff2,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 242.21/242.42 => ( 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) % 242.21/242.42 <=> hBOOL(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)) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zadd1__lemma,axiom, % 242.21/242.42 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( 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))) % 242.21/242.42 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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)))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zminus1__lemma,axiom, % 242.21/242.42 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 242.21/242.42 ( 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))) % 242.21/242.42 => 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))))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_subset__equiv__class,axiom, % 242.21/242.42 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( 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)))))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 242.21/242.42 => hBOOL(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)) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_equiv__class__nondisjoint,axiom, % 242.21/242.42 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 242.21/242.42 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.42 => ( 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))))))) % 242.21/242.42 => hBOOL(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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__relI,axiom, % 242.21/242.42 ! [V_r,V_q,V_b,V_a] : % 242.21/242.42 ( 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) % 242.21/242.42 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 242.21/242.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 242.21/242.42 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_zmult1__lemma,axiom, % 242.21/242.42 ! [V_a,V_r,V_q,V_c,V_b] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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)))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_pair__imageI,axiom, % 242.21/242.42 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_norm__frac_Osimps,axiom, % 242.21/242.42 ! [V_a_2,V_b_2] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.42 => 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))) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_adjust__eq,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sup2CI,axiom, % 242.21/242.42 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 242.21/242.42 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sup2E,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_inf2E,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 242.21/242.42 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_inf2I,axiom, % 242.21/242.42 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_mem__splitI,axiom, % 242.21/242.42 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 242.21/242.42 => 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)))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_splitI,axiom, % 242.21/242.42 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_prod__caseI,axiom, % 242.21/242.42 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 242.21/242.42 => 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))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_bot2E,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__Pair,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_splitD_H,axiom, % 242.21/242.42 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_swap__inj__on,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sup2I2,axiom, % 242.21/242.42 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_sup2I1,axiom, % 242.21/242.42 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 242.21/242.42 => 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_predicate2D,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_rev__predicate2D,axiom, % 242.21/242.42 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 242.21/242.42 => ( 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)) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_inf2D2,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_inf2D1,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.42 ( 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)) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Pair__inject,axiom, % 242.21/242.42 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 242.21/242.42 ( 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) % 242.21/242.42 => ~ ( V_a = V_a_H % 242.21/242.42 => V_b != V_b_H ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Pair__eq,axiom, % 242.21/242.42 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.42 ( 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) % 242.21/242.42 <=> ( V_a_2 = V_a_H_2 % 242.21/242.42 & V_b_2 = V_b_H_2 ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__paired__All,axiom, % 242.21/242.42 ! [T_c,T_b,V_Pa_2] : % 242.21/242.42 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.21/242.42 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__weak__cong,axiom, % 242.21/242.42 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 242.21/242.42 ( V_p_2 = V_q_2 % 242.21/242.42 => 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) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__twice,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__conv,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_prod_Osimps_I2_J,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_splitD,axiom, % 242.21/242.42 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 242.21/242.42 ( 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))) % 242.21/242.42 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__eta,axiom, % 242.21/242.42 ! [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 ). % 242.21/242.42 % 242.21/242.42 fof(fact_The__split__eq,axiom, % 242.21/242.42 ! [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) ). % 242.21/242.42 % 242.21/242.42 fof(fact_split__paired__The,axiom, % 242.21/242.42 ! [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)))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_adjust__def,axiom, % 242.21/242.42 ! [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))))))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_in__rel__def,axiom, % 242.21/242.42 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 242.21/242.42 <=> 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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_div__mod__code__numeral__def,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 242.21/242.42 ! [V_w] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( ( 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)))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ 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)))) % 242.21/242.42 => 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)))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg__correct,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg__div__mod,axiom, % 242.21/242.42 ! [V_l,V_k] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg__minus1,axiom, % 242.21/242.42 ! [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))) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg_Osimps,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( ( ( 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))) % 242.21/242.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ ( 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))) % 242.21/242.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg__eqn,axiom, % 242.21/242.42 ! [V_a,V_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_negDivAlg__eqn__number__of,axiom, % 242.21/242.42 ! [V_w,V_v] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( ( 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)))) % 242.21/242.42 => 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))) ) % 242.21/242.42 & ( ~ 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)))) % 242.21/242.42 => 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)))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_Nitpick_Orefl_H__def,axiom, % 242.21/242.42 ! [V_r_2,T_b] : % 242.21/242.42 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 242.21/242.42 <=> ! [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)) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 242.21/242.42 ! [V_w] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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)))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg_Osimps,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 242.21/242.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 242.21/242.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.42 => 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))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg__0,axiom, % 242.21/242.42 ! [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)) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg__correct,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg__div__mod,axiom, % 242.21/242.42 ! [V_l,V_k] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg__eqn,axiom, % 242.21/242.42 ! [V_a,V_b] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 242.21/242.42 => 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))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_posDivAlg__eqn__number__of,axiom, % 242.21/242.42 ! [V_w,V_v] : % 242.21/242.42 ( 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))) % 242.21/242.42 => ( ( 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))) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( ~ 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))) % 242.21/242.42 => 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)))) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__def,axiom, % 242.21/242.42 ! [V_b,V_a] : % 242.21/242.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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))) ) ) ) ) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 242.21/242.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.42 => 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))) ) ) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__nat__step,axiom, % 242.21/242.42 ! [V_m,V_n] : % 242.21/242.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 242.21/242.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 242.21/242.42 => 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)) ) ) ). % 242.21/242.42 % 242.21/242.42 fof(fact_divmod__int__pdivmod,axiom, % 242.21/242.42 ! [V_l_2,V_k_2] : % 242.21/242.42 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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)) ) % 242.21/242.42 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.42 => 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) ) % 242.21/242.42 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => 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)))) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__compose,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_negateSnd__def,axiom, % 242.21/242.43 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__conv,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__zero,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__base,axiom, % 242.21/242.43 ! [V_n,V_m] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 242.21/242.43 => 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) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__id,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_negateSnd__eq,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__div__mod,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__int__rel__neg,axiom, % 242.21/242.43 ! [V_qr,V_b,V_a] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__if,axiom, % 242.21/242.43 ! [V_m_2,V_n_2] : % 242.21/242.43 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 242.21/242.43 => 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) ) % 242.21/242.43 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pdivmod__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pdivmod__posDivAlg,axiom, % 242.21/242.43 ! [V_k,V_l] : % 242.21/242.43 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__int__code,axiom, % 242.21/242.43 ! [V_l_2,V_k_2] : % 242.21/242.43 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => 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) ) % 242.21/242.43 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 => 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)))) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_UN__equiv__class__inject,axiom, % 242.21/242.43 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.43 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 242.21/242.43 => ( 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) % 242.21/242.43 => ( 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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => ! [B_y] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 242.21/242.43 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 242.21/242.43 => 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)) ) ) ) % 242.21/242.43 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 242.21/242.43 ! [V_a,V_r,V_q,V_c,V_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 242.21/242.43 ! [V_c,V_r,V_q,V_b,V_a] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 242.21/242.43 => 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)))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel__unique,axiom, % 242.21/242.43 ! [V_qr_H,V_qr,V_n,V_m] : % 242.21/242.43 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 242.21/242.43 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 242.21/242.43 => V_qr = V_qr_H ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 242.21/242.43 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__eq,axiom, % 242.21/242.43 ! [V_qr,V_n,V_m] : % 242.21/242.43 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 242.21/242.43 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__eq,axiom, % 242.21/242.43 ! [V_r,V_q,V_n,V_m] : % 242.21/242.43 ( 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))) % 242.21/242.43 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__eq,axiom, % 242.21/242.43 ! [V_r,V_q,V_n,V_m] : % 242.21/242.43 ( 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))) % 242.21/242.43 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel__add1__eq,axiom, % 242.21/242.43 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 242.21/242.43 => 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)))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_negDivAlg_Opsimps,axiom, % 242.21/242.43 ! [V_b_2,V_a_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( ( 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))) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( ~ ( 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))) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.43 => 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))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_posDivAlg_Opsimps,axiom, % 242.21/242.43 ! [V_b_2,V_a_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.43 => 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) ) % 242.21/242.43 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.43 => 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))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__pos__neg__1__number__of,axiom, % 242.21/242.43 ! [V_w] : % 242.21/242.43 ( 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))) % 242.21/242.43 => 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))))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__eq__conv,axiom, % 242.21/242.43 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 242.21/242.43 ( 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) % 242.21/242.43 <=> 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__apsnd,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__def,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__conv,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__eqD,axiom, % 242.21/242.43 ! [V_a,V_y,V_x,T_a,T_b] : % 242.21/242.43 ( 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 % 242.21/242.43 => V_y = V_a ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__int__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__neg__pos,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__pos__pos,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__pos__pos__1__number__of,axiom, % 242.21/242.43 ! [V_w] : % 242.21/242.43 ( 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))) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__pos__neg,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__neg__neg,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_norm__frac_Opsimps,axiom, % 242.21/242.43 ! [V_b_2,V_a_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 242.21/242.43 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 242.21/242.43 => 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))) ) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_negDivAlg_Opinduct,axiom, % 242.21/242.43 ! [V_Pa_2,V_a1_2,V_a0_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ! [B_a,B_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( ~ ( 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))) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.43 => 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))) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_posDivAlg_Opinduct,axiom, % 242.21/242.43 ! [V_Pa_2,V_a1_2,V_a0_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ! [B_a,B_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 242.21/242.43 => 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))) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mod__nat__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_accp__subset,axiom, % 242.21/242.43 ! [V_R2_2,V_R1_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_irrefl__def,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Relation_Oirrefl(T_b,V_r_2) % 242.21/242.43 <=> ! [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_norm__frac_Opinduct,axiom, % 242.21/242.43 ! [V_Pa_2,V_a1_2,V_a0_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ! [B_a,B_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => 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))) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_accp_Osimps,axiom, % 242.21/242.43 ! [V_a_2,V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 242.21/242.43 <=> ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 242.21/242.43 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_accp_Oequations,axiom, % 242.21/242.43 ! [V_a_2,V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 242.21/242.43 <=> ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 242.21/242.43 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_accp__downward,axiom, % 242.21/242.43 ! [V_a_2,V_b_2,V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 242.21/242.43 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat__gcd_Opsimps,axiom, % 242.21/242.43 ! [V_y_2,V_x_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 242.21/242.43 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat_Osize_I2_J,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_in__measure,axiom, % 242.21/242.43 ! [V_f_2,V_y_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat_Osize_I1_J,axiom, % 242.21/242.43 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__pos__neg__1__number__of,axiom, % 242.21/242.43 ! [V_w] : % 242.21/242.43 ( 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))) % 242.21/242.43 => 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))))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat__def,axiom, % 242.21/242.43 ! [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)))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat__gcd_Opinduct,axiom, % 242.21/242.43 ! [V_Pa_2,V_a1_2,V_a0_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ! [B_x,B_y] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__apsnd,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__def,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Rep__Integ__inject,axiom, % 242.21/242.43 ! [V_y_2,V_x_2] : % 242.21/242.43 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 242.21/242.43 <=> V_x_2 = V_y_2 ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__conv,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__eqD,axiom, % 242.21/242.43 ! [V_a,V_y,V_x,T_b,T_a] : % 242.21/242.43 ( 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 % 242.21/242.43 => V_x = V_a ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Pair__fst__snd__eq,axiom, % 242.21/242.43 ! [T_c,T_b,V_t_2,V_s_2] : % 242.21/242.43 ( V_s_2 = V_t_2 % 242.21/242.43 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 242.21/242.43 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_prod__eqI,axiom, % 242.21/242.43 ! [V_q,V_p,T_b,T_a] : % 242.21/242.43 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 242.21/242.43 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 242.21/242.43 => V_p = V_q ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_surjective__pairing,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__collapse,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_prod__case__beta,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__int__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_split__comp__eq,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_split__beta,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_split__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_split__comp,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_The__split,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__neg__pos,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__pos__pos,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__pos__pos__1__number__of,axiom, % 242.21/242.43 ! [V_w] : % 242.21/242.43 ( 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))) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__pos__neg,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__neg__neg,axiom, % 242.21/242.43 ! [V_b,V_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_prod__size__simp,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_exI__realizer,axiom, % 242.21/242.43 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 242.21/242.43 => 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)))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_conjI__realizer,axiom, % 242.21/242.43 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] : % 242.21/242.43 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 242.21/242.43 => ( hBOOL(hAPP(V_Qa_2,V_q_2)) % 242.21/242.43 => ( 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)))) % 242.21/242.43 & 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)))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_div__nat__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_divmod__nat__rel__def,axiom, % 242.21/242.43 ! [V_qr_2,V_n_2,V_m_2] : % 242.21/242.43 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 242.21/242.43 <=> ( 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)) % 242.21/242.43 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.21/242.43 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.43 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 242.21/242.43 => ( 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))) % 242.21/242.43 & 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)) ) ) % 242.21/242.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 242.21/242.43 => ( 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))) % 242.21/242.43 & 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))) ) ) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_inv__image__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_setsum__mult__setsum__if__inj,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 242.21/242.43 ( class_Rings_Osemiring__0(T_d) % 242.21/242.43 => ( 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))) % 242.21/242.43 => 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))))))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mlex__leq,axiom, % 242.21/242.43 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( hBOOL(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)) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_SigmaI,axiom, % 242.21/242.43 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__empty1,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Times__eq__cancel2,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 242.21/242.43 => ( 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)) % 242.21/242.43 <=> V_A_2 = V_B_2 ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__Diff__distrib1,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Times__Diff__distrib1,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__Diff__distrib2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_UN__Times__distrib,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_card__cartesian__product,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_setsum__cartesian__product,axiom, % 242.21/242.43 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 242.21/242.43 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__empty2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Times__empty,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Compl__Times__UNIV2,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Compl__Times__UNIV1,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_setprod__cartesian__product,axiom, % 242.21/242.43 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 242.21/242.43 ( class_Groups_Ocomm__monoid__mult(T_b) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__Un__distrib2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Times__Un__distrib1,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__Un__distrib1,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_swap__product,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__cartesian__product,axiom, % 242.21/242.43 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equiv__type,axiom, % 242.21/242.43 ! [V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.43 => 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)))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__Int__distrib1,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Times__Int__distrib1,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__Int__distrib2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_UNIV__Times__UNIV,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mem__Sigma__iff,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.43 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_SigmaD1,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_SigmaD2,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_SigmaE2,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.43 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_card__cartesian__product__singleton,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Times__subset__cancel2,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 242.21/242.43 => ( 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)))) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_insert__times__insert,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Image__subset,axiom, % 242.21/242.43 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( 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)))) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__cartesian__productD2,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.43 ( 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)))) % 242.21/242.43 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__cartesian__productD1,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.43 ( 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)))) % 242.21/242.43 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__def,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_SetCompr__Sigma__eq,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Collect__split,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__image__times,axiom, % 242.21/242.43 ! [V_A_2,T_c,T_b,V_B_2] : % 242.21/242.43 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 => 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 ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__image__times,axiom, % 242.21/242.43 ! [V_B_2,T_c,T_b,V_A_2] : % 242.21/242.43 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 => 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 ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_in__inv__image,axiom, % 242.21/242.43 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 <=> 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__equiv__class,axiom, % 242.21/242.43 ! [V_X_2,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( 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)))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_vimage__Times,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__quotient,axiom, % 242.21/242.43 ! [V_r_2,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( 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)))) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_image__split__eq__Sigma,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mlex__less,axiom, % 242.21/242.43 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 => hBOOL(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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rp__inv__image__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fold__image__Sigma,axiom, % 242.21/242.43 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 242.21/242.43 ( class_Groups_Ocomm__monoid__mult(T_d) % 242.21/242.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osize_I2_J,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Oinject,axiom, % 242.21/242.43 ! [V_code__numeral_H_2,V_code__numeral_2] : % 242.21/242.43 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 242.21/242.43 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osimps_I2_J,axiom, % 242.21/242.43 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osimps_I3_J,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Suc__code__numeral__minus__one,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osize_I4_J,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_in__finite__psubset,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.43 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 242.21/242.43 ! [V_A_2,V_I_2,T_c,T_b] : % 242.21/242.43 ? [B_f] : % 242.21/242.43 ( 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)) % 242.21/242.43 & 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osize_I3_J,axiom, % 242.21/242.43 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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__psubset__def,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_setprod__Sigma,axiom, % 242.21/242.43 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 242.21/242.43 ( class_Groups_Ocomm__monoid__mult(T_d) % 242.21/242.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_setsum__Sigma,axiom, % 242.21/242.43 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 242.21/242.43 ( class_Groups_Ocomm__monoid__add(T_d) % 242.21/242.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_card__SigmaI,axiom, % 242.21/242.43 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 242.21/242.43 => 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) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Field__insert,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat_Osize_I4_J,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_prod_Orecs,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat__size,axiom, % 242.21/242.43 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat_Osize_I3_J,axiom, % 242.21/242.43 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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Field__empty,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mono__Field,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Field__Un,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__Field,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__SigmaI,axiom, % 242.21/242.43 ! [V_B_2,T_c,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.43 => ( ! [B_a] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__on__def,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_in__lex__prod,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> ( hBOOL(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)) % 242.21/242.43 | ( V_a_2 = V_a_H_2 % 242.21/242.43 & 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__on__def_H,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__on__empty,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Image__Id__on,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__on__subset__Times,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__on__eqI,axiom, % 242.21/242.43 ! [V_A_2,T_b,V_b_2,V_a_2] : % 242.21/242.43 ( V_a_2 = V_b_2 % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__on__iff,axiom, % 242.21/242.43 ! [V_A_2,V_y_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 <=> ( V_x_2 = V_y_2 % 242.21/242.43 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_same__fstI,axiom, % 242.21/242.43 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 242.21/242.43 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.43 => ( 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))) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equivp__equiv,axiom, % 242.21/242.43 ! [V_A_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 242.21/242.43 <=> 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__onE,axiom, % 242.21/242.43 ! [V_A_2,V_c_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 242.21/242.43 => ~ ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equivp__transp,axiom, % 242.21/242.43 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equivp__symp,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_R_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equivp__reflp,axiom, % 242.21/242.43 ! [V_x_2,V_R_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equivp__def,axiom, % 242.21/242.43 ! [V_R_2,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.21/242.43 <=> ! [B_x,B_y] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 242.21/242.43 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_identity__equivp,axiom, % 242.21/242.43 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__apfst,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apfst__apsnd,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__lessI2,axiom, % 242.21/242.43 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apfst__eq__conv,axiom, % 242.21/242.43 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 242.21/242.43 ( 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) % 242.21/242.43 <=> 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__apfst,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__apfst,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apfst__compose,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apfst__conv,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__apfst__commute,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apfst__id,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__lessI1,axiom, % 242.21/242.43 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__leqI2,axiom, % 242.21/242.43 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_smin__insertI,axiom, % 242.21/242.43 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_smax__insertI,axiom, % 242.21/242.43 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_smin__emptyI,axiom, % 242.21/242.43 ! [V_X_2] : % 242.21/242.43 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_smax__emptyI,axiom, % 242.21/242.43 ! [V_Y_2] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 242.21/242.43 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__leqI1,axiom, % 242.21/242.43 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wmax__insertI,axiom, % 242.21/242.43 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wmin__insertI,axiom, % 242.21/242.43 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wmin__emptyI,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wmax__emptyI,axiom, % 242.21/242.43 ! [V_X_2] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_min__weak__def,axiom, % 242.21/242.43 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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__weak__def,axiom, % 242.21/242.43 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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__rpair__set,axiom, % 242.21/242.43 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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__strict__def,axiom, % 242.21/242.43 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rp__inv__image__rp,axiom, % 242.21/242.43 ! [V_f_2,T_c,V_Pa_2,T_b] : % 242.21/242.43 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 242.21/242.43 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__ext__additive,axiom, % 242.21/242.43 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_min__strict__def,axiom, % 242.21/242.43 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 242.21/242.43 % 242.21/242.43 fof(fact_min__rpair__set,axiom, % 242.21/242.43 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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__extp__max__ext__eq,axiom, % 242.21/242.43 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 242.21/242.43 ( 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) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equiv__intrel__iff,axiom, % 242.21/242.43 ! [V_y_2,V_x_2] : % 242.21/242.43 ( 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)))) % 242.21/242.43 <=> 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_less__than__iff,axiom, % 242.21/242.43 ! [V_y_2,V_x_2] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_equiv__intrel,axiom, % 242.21/242.43 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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__less__def,axiom, % 242.21/242.43 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 242.21/242.43 % 242.21/242.43 fof(fact_measure__def,axiom, % 242.21/242.43 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mlex__prod__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_intrel__iff,axiom, % 242.21/242.43 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> 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) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_of__int,axiom, % 242.21/242.43 ! [V_j_2,V_i_2,T_b] : % 242.21/242.43 ( class_Rings_Oring__1(T_b) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_One__int__def,axiom, % 242.21/242.43 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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mult,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Rep__Integ__inverse,axiom, % 242.21/242.43 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 242.21/242.43 % 242.21/242.43 fof(fact_minus,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Zero__int__def,axiom, % 242.21/242.43 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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_int__def,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_add,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_minus__int__def,axiom, % 242.21/242.43 ! [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))))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_less,axiom, % 242.21/242.43 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 242.21/242.43 ( 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))))))) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_le,axiom, % 242.21/242.43 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 242.21/242.43 ( 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))))))) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_eq__Abs__Integ,axiom, % 242.21/242.43 ! [V_z_2] : % 242.21/242.43 ~ ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Integ__def,axiom, % 242.21/242.43 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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_ImageE,axiom, % 242.21/242.43 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 242.21/242.43 => ~ ! [B_x] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Rep__Integ,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition__Integ,axiom, % 242.21/242.43 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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_SigmaE,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ~ ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => ! [B_y] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 242.21/242.43 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__surj,axiom, % 242.21/242.43 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__imageI,axiom, % 242.21/242.43 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__comp__map__pair,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair_Ocomp,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__compose,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair_Ocompositionality,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__comp__map__pair,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__ident,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__prod__fun,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__map__pair,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__simp,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair_Oidentity,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apsnd__def,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_apfst__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair_Oid,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__surj__on,axiom, % 242.21/242.43 ! [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] : % 242.21/242.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 242.21/242.43 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_map__pair__inj__on,axiom, % 242.21/242.43 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 242.21/242.43 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_ORep__range,axiom, % 242.21/242.43 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => 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 ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_OAbs__image,axiom, % 242.21/242.43 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_ORep,axiom, % 242.21/242.43 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_ORep__inject,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 242.21/242.43 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_ORep__inverse,axiom, % 242.21/242.43 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_OAbs__inject,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 242.21/242.43 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 242.21/242.43 <=> V_x_2 = V_y_2 ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_type__definition_OAbs__inverse,axiom, % 242.21/242.43 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 242.21/242.43 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 242.21/242.43 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_prod__fun__imageE,axiom, % 242.21/242.43 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ~ ! [B_x,B_y] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ~ 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osimps_I5_J,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_accp__acc__eq,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc__subset,axiom, % 242.21/242.43 ! [V_R2_2,V_R1_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc_Osimps,axiom, % 242.21/242.43 ! [V_r_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 242.21/242.43 <=> ! [B_x] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc__downward,axiom, % 242.21/242.43 ! [V_a_2,V_r_2,V_b_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 242.21/242.43 => ( hBOOL(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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_code__numeral_Osimps_I4_J,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__def,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__extp_Oequations,axiom, % 242.21/242.43 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 242.21/242.43 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 242.21/242.43 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 242.21/242.43 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 & ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 242.21/242.43 => ? [B_xa] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 242.21/242.43 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__ext_Ointros,axiom, % 242.21/242.43 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 242.21/242.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 242.21/242.43 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 242.21/242.43 => ? [B_xa] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 242.21/242.43 & 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)) ) ) % 242.21/242.43 => 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))) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__compI,axiom, % 242.21/242.43 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__empty1,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__empty2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__distrib,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__distrib2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_O__assoc,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__mono,axiom, % 242.21/242.43 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__UNION__distrib,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__UNION__distrib2,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_union__comp__emptyL,axiom, % 242.21/242.43 ! [V_B_2,V_C_2,V_A_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_union__comp__emptyR,axiom, % 242.21/242.43 ! [V_C_2,V_B_2,V_A_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rel__comp__subset__Sigma,axiom, % 242.21/242.43 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( 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)))) % 242.21/242.43 => ( 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)))) % 242.21/242.43 => 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)))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__ext__compat,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_min__ext__compat,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pred__comp__rel__comp__eq,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reduction__pairI,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_R_2) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Nitpick_Ozero__frac__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__less__than,axiom, % 242.21/242.43 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pred__comp_Ointros,axiom, % 242.21/242.43 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__empty,axiom, % 242.21/242.43 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__inv__image,axiom, % 242.21/242.43 ! [V_f_2,T_c,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__lex__prod,axiom, % 242.21/242.43 ! [V_rb_2,T_c,V_ra_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_ra_2) % 242.21/242.43 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 242.21/242.43 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__measure,axiom, % 242.21/242.43 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__comp__self,axiom, % 242.21/242.43 ! [V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_R_2) % 242.21/242.43 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__less,axiom, % 242.21/242.43 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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__ext__wf,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__pair__less,axiom, % 242.21/242.43 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pred__comp_Oequations,axiom, % 242.21/242.43 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> ? [B_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 242.21/242.43 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__Int2,axiom, % 242.21/242.43 ! [V_r_H_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__Int1,axiom, % 242.21/242.43 ! [V_r_H_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__subset,axiom, % 242.21/242.43 ! [V_p_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ( 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)) % 242.21/242.43 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__mlex,axiom, % 242.21/242.43 ! [V_f_2,V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_R_2) % 242.21/242.43 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__finite__psubset,axiom, % 242.21/242.43 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_min__ext__wf,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__irrefl,axiom, % 242.21/242.43 ! [V_a_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ~ hBOOL(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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__asym,axiom, % 242.21/242.43 ! [V_x_2,V_a_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ( hBOOL(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)) % 242.21/242.43 => ~ hBOOL(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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__not__sym,axiom, % 242.21/242.43 ! [V_x_2,V_a_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ( hBOOL(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)) % 242.21/242.43 => ~ hBOOL(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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__not__refl,axiom, % 242.21/242.43 ! [V_a_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ~ hBOOL(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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__int__ge__less__than2,axiom, % 242.21/242.43 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__int__ge__less__than,axiom, % 242.21/242.43 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__acc__iff,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc__wfD,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__no__loop,axiom, % 242.21/242.43 ! [V_R_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__union__merge,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 <=> ~ ? [B_f] : % 242.21/242.43 ! [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfE__pf,axiom, % 242.21/242.43 ! [V_A_2,V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_R_2) % 242.21/242.43 => ( 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))) % 242.21/242.43 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__union__compatible,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_R_2) % 242.21/242.43 => ( c_Wellfounded_Owf(T_b,V_S_2) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf,axiom, % 242.21/242.43 ! [T_b] : % 242.21/242.43 ( class_Orderings_Owellorder(T_b) % 242.21/242.43 => 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)))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reduction__pair__def,axiom, % 242.21/242.43 ! [V_Pa_2,T_b] : % 242.21/242.43 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 242.21/242.43 <=> ( 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)) % 242.21/242.43 & 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reduction__pair__lemma,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 242.21/242.43 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 242.21/242.43 => ( 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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => ( c_Wellfounded_Owf(T_b,V_S_2) % 242.21/242.43 => 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)) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__map__pair__image,axiom, % 242.21/242.43 ! [V_f_2,T_c,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Nitpick_Oone__frac__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Nitpick_Ofrac__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pred__nat__def,axiom, % 242.21/242.43 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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__lenlex,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__same__fst,axiom, % 242.21/242.43 ! [T_b,V_R_2,T_c,V_Pa_2] : % 242.21/242.43 ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.43 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 242.21/242.43 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__pred__nat,axiom, % 242.21/242.43 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__lex,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__lexn,axiom, % 242.21/242.43 ! [V_n_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__if__measure,axiom, % 242.21/242.43 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 242.21/242.43 ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.43 => 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))) ) % 242.21/242.43 => 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))))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_lex__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_lexn_Osimps_I1_J,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__Collect__split,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__on__def,axiom, % 242.21/242.43 ! [V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 <=> ( 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)))) % 242.21/242.43 & ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__def,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_OwfP(T_b,V_r_2) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__empty,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_RangeI,axiom, % 242.21/242.43 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__on__Id__on,axiom, % 242.21/242.43 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__Id__on,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__accp__iff,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_OwfP(T_b,V_r_2) % 242.21/242.43 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_accp__wfPD,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_OwfP(T_b,V_r_2) % 242.21/242.43 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__subset,axiom, % 242.21/242.43 ! [V_p_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_OwfP(T_b,V_r_2) % 242.21/242.43 => ( 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)) % 242.21/242.43 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__empty__iff,axiom, % 242.21/242.43 ! [V_r_2,T_b,T_c] : % 242.21/242.43 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__empty,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__Un__eq,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__on__empty,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__on__Un,axiom, % 242.21/242.43 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__Range,axiom, % 242.21/242.43 ! [V_r_2,T_c,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__on__Int,axiom, % 242.21/242.43 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_snd__eq__Range,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__iff,axiom, % 242.21/242.43 ! [V_r_2,T_c,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 242.21/242.43 <=> ? [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__onD,axiom, % 242.21/242.43 ! [V_a_2,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.43 => hBOOL(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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__onD1,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 => ( hBOOL(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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__onD2,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 => ( hBOOL(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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__insert,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__Int__subset,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__Diff__subset,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__in__rel,axiom, % 242.21/242.43 ! [V_R_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_R_2) % 242.21/242.43 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__wf__eq,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reflp__def,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Predicate_Oreflp(T_b,V_r_2) % 242.21/242.43 <=> 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_RangeP__Range__eq,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__onI,axiom, % 242.21/242.43 ! [V_A_2,V_r_2,T_b] : % 242.21/242.43 ( 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)))) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => 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)) ) % 242.21/242.43 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_RangeP_Ointros,axiom, % 242.21/242.43 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 242.21/242.43 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_RangeP_Oequations,axiom, % 242.21/242.43 ! [V_a2_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 242.21/242.43 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reflpE,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_b] : % 242.21/242.43 ( c_Predicate_Oreflp(T_b,V_r_2) % 242.21/242.43 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_RangeE,axiom, % 242.21/242.43 ! [V_r_2,T_c,V_b_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 242.21/242.43 => ~ ! [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__acyclicP,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_OwfP(T_b,V_r_2) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__Un,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ( c_Wellfounded_Owf(T_b,V_s_2) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_DomainI,axiom, % 242.21/242.43 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__Id__on,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_acyclic__subset,axiom, % 242.21/242.43 ! [V_r_2,V_s_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 242.21/242.43 => ( 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)) % 242.21/242.43 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__acyclic,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__empty__iff,axiom, % 242.21/242.43 ! [V_r_2,T_c,T_b] : % 242.21/242.43 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__empty,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__mono,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__Un__eq,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__Domain,axiom, % 242.21/242.43 ! [V_r_2,T_c,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 242.21/242.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_fst__eq__Domain,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__iff,axiom, % 242.21/242.43 ! [V_r_2,T_c,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 242.21/242.43 <=> ? [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__insert,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__iff__acyclic__if__finite,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 242.21/242.43 => ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__acyclic__wf,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 242.21/242.43 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__Int__subset,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__Diff__subset,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Field__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__Collect__split,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_DomainP__Domain__eq,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Nitpick_Owf_H__def,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Nitpick_Owf_H(T_b,V_r_2) % 242.21/242.43 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 242.21/242.43 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 242.21/242.43 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_DomainE,axiom, % 242.21/242.43 ! [V_r_2,T_c,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 242.21/242.43 => ~ ! [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_DomainP_Ointros,axiom, % 242.21/242.43 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 242.21/242.43 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_DomainP_Oequations,axiom, % 242.21/242.43 ! [V_a1_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 242.21/242.43 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Rep__Integ__cases,axiom, % 242.21/242.43 ! [V_y_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 242.21/242.43 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Rep__Integ__induct,axiom, % 242.21/242.43 ! [V_Pa_2,V_y_2] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 242.21/242.43 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__on__def_H,axiom, % 242.21/242.43 ! [V_r_2,V_A_2,T_b] : % 242.21/242.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.43 <=> ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 242.21/242.43 => 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)) ) % 242.21/242.43 & ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => 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)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Powp__def,axiom, % 242.21/242.43 ! [V_B_2,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 242.21/242.43 <=> ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 242.21/242.43 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_ball__empty,axiom, % 242.21/242.43 ! [V_Pa_2,T_b,B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_congruent__def,axiom, % 242.21/242.43 ! [V_f_2,V_r_2,T_c,T_b] : % 242.21/242.43 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 242.21/242.43 <=> ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Abs__Integ__cases,axiom, % 242.21/242.43 ! [V_x_2] : % 242.21/242.43 ~ ! [B_y] : % 242.21/242.43 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 242.21/242.43 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Abs__Integ__induct,axiom, % 242.21/242.43 ! [V_x_2,V_Pa_2] : % 242.21/242.43 ( ! [B_y] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfP__SUP,axiom, % 242.21/242.43 ! [T_b,V_r_2,T_c] : % 242.21/242.43 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 242.21/242.43 => ( ! [B_i,B_j] : % 242.21/242.43 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 242.21/242.43 => 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)) ) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_triples__valid__Suc,axiom, % 242.21/242.43 ! [V_n_2,V_ts_2,T_b] : % 242.21/242.43 ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 242.21/242.43 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) ) % 242.21/242.43 => ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 242.21/242.43 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_hoare__valids__def,axiom, % 242.21/242.43 ! [V_ts_2,V_Ga_2,T_b] : % 242.21/242.43 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2) % 242.21/242.43 <=> ! [B_n] : % 242.21/242.43 ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2)) % 242.21/242.43 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) % 242.21/242.43 => ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2)) % 242.21/242.43 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mem__splitI2,axiom, % 242.21/242.43 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 242.21/242.43 ( ! [B_a,B_b] : % 242.21/242.43 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_mem__splitE,axiom, % 242.21/242.43 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ~ ! [B_x,B_y] : % 242.21/242.43 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 242.21/242.43 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Eps__split,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wfI__pf,axiom, % 242.21/242.43 ! [V_R_2,T_b] : % 242.21/242.43 ( ! [B_A] : % 242.21/242.43 ( 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))) % 242.21/242.43 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 242.21/242.43 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Sigma__mono,axiom, % 242.21/242.43 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.43 => 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))) ) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_tfl__some,axiom, % 242.21/242.43 ! [T_b,B_P] : % 242.21/242.43 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 242.21/242.43 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_someI,axiom, % 242.21/242.43 ! [T_b,V_x_2,V_Pa_2] : % 242.21/242.43 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_someI__ex,axiom, % 242.21/242.43 ! [T_b,V_Pa_2] : % 242.21/242.43 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_some__eq__ex,axiom, % 242.21/242.43 ! [T_b,V_Pa_2] : % 242.21/242.43 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 242.21/242.43 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_some__eq__trivial,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_some__sym__eq__trivial,axiom, % 242.21/242.43 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 242.21/242.43 % 242.21/242.43 fof(fact_exE__some,axiom, % 242.21/242.43 ! [T_b,V_c_2,V_Pa_2] : % 242.21/242.43 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.21/242.43 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 242.21/242.43 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Eps__split__eq,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_split__paired__Eps,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_inv__into__def,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_inv__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_not__acc__down,axiom, % 242.21/242.43 ! [V_R_2,V_x_2,T_b] : % 242.21/242.43 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 242.21/242.43 => ~ ! [B_z] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc_OaccI,axiom, % 242.21/242.43 ! [V_r_2,V_x_2,T_b] : % 242.21/242.43 ( ! [B_y] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_max__ext_Osimps,axiom, % 242.21/242.43 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 242.21/242.43 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 242.21/242.43 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.43 & ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 242.21/242.43 => ? [B_xa] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 242.21/242.43 & 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)) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__no__infinite__down__chainE,axiom, % 242.21/242.43 ! [V_f_2,V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => ~ ! [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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_scomp__unfold,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_setsum__ivl__cong,axiom, % 242.21/242.43 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 242.21/242.43 ( ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.43 & class_Orderings_Oord(T_b) ) % 242.21/242.43 => ( V_a_2 = V_c_2 % 242.21/242.43 => ( V_b_2 = V_d_2 % 242.21/242.43 => ( ! [B_x] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 242.21/242.43 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 242.21/242.43 => 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)) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Pair__scomp,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_scomp__Pair,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_scomp__scomp,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_scomp__apply,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_scomp__def,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_iterate_Osimps,axiom, % 242.21/242.43 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 242.21/242.43 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.43 => 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) ) % 242.21/242.43 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_less__eq,axiom, % 242.21/242.43 ! [V_n_2,V_m_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_nat__intermed__int__val,axiom, % 242.21/242.43 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 242.21/242.43 ( ! [B_i] : % 242.21/242.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 242.21/242.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 242.21/242.43 => 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))) ) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 242.21/242.43 => ? [B_i] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 242.21/242.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 242.21/242.43 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__trancl,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_less__than__def,axiom, % 242.21/242.43 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acyclic__def,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 242.21/242.43 <=> ! [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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl_Or__into__trancl,axiom, % 242.21/242.43 ! [V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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)) % 242.21/242.43 => hBOOL(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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__subset__Field2,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__Int__subset,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_r__into__trancl_H,axiom, % 242.21/242.43 ! [V_r_2,V_p_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__empty,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__domain,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__range,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__trancl,axiom, % 242.21/242.43 ! [V_r_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 242.21/242.43 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_r__r__into__trancl,axiom, % 242.21/242.43 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__into__trancl2,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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)) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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)) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__trans,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__mono,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,V_p_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 242.21/242.43 => ( 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)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__unfold,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__subset__Sigma,axiom, % 242.21/242.43 ! [V_A_2,V_r_2,T_b] : % 242.21/242.43 ( 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)))) % 242.21/242.43 => 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)))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_log_Osimps,axiom, % 242.21/242.43 ! [V_i,V_b] : % 242.21/242.43 ( ( ( 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))) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 242.21/242.43 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 242.21/242.43 & ( ~ ( 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))) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 242.21/242.43 => 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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_minus__shift__def,axiom, % 242.21/242.43 ! [V_r,V_l,V_k] : % 242.21/242.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 242.21/242.43 => 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) ) % 242.21/242.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 242.21/242.43 => 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) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_inc__shift__def,axiom, % 242.21/242.43 ! [V_k,V_v] : % 242.21/242.43 ( ( V_v = V_k % 242.21/242.43 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 242.21/242.43 & ( V_v != V_k % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_range,axiom, % 242.21/242.43 ! [V_s,V_k] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__insert,axiom, % 242.21/242.43 ! [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)))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reflcl__set__eq,axiom, % 242.21/242.43 ! [V_y_2,V_x_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> hBOOL(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)))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_r__into__rtrancl,axiom, % 242.21/242.43 ! [V_r_2,V_p_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl_Ortrancl__refl,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_IdI,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__into__rtrancl,axiom, % 242.21/242.43 ! [V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => hBOOL(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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__Int__subset,axiom, % 242.21/242.43 ! [V_r_2,V_s_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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)) % 242.21/242.43 => 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)) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Image__closed__trancl,axiom, % 242.21/242.43 ! [V_X_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__subset__rtrancl,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__subset,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ( 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))) % 242.21/242.43 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__mono,axiom, % 242.21/242.43 ! [V_s_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__Un__subset,axiom, % 242.21/242.43 ! [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)))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__O__R,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_R__O__Id,axiom, % 242.21/242.43 ! [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 ). % 242.21/242.43 % 242.21/242.43 fof(fact_Image__Id,axiom, % 242.21/242.43 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__r__diff__Id,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__idemp,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__trans,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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)) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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)) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_in__rtrancl__UnI,axiom, % 242.21/242.43 ! [V_S_2,V_R_2,V_x_2,T_b] : % 242.21/242.43 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 242.21/242.43 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 242.21/242.43 => 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)))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__reflcl__absorb,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__Un__rtrancl,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__reflcl,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_r__comp__rtrancl__eq,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__idemp__self__comp,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__unfold,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__empty,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__rtrancl,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__rtrancl,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__rtrancl,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__unfold__right,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__unfold__left,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__reflcl,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_reflcl__trancl,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__rtrancl__absorb,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__trancl__absorb,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__in__Id__conv,axiom, % 242.21/242.43 ! [V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 <=> V_a_2 = V_b_2 ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__trancl__trancl,axiom, % 242.21/242.43 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__rtrancl__trancl,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__into__trancl1,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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)) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtranclD,axiom, % 242.21/242.43 ! [V_R_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( V_a_2 = V_b_2 % 242.21/242.43 | ( V_a_2 != V_b_2 % 242.21/242.43 & hBOOL(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))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__into__trancl2,axiom, % 242.21/242.43 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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)) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__eq__or__trancl,axiom, % 242.21/242.43 ! [V_R_2,V_y_2,V_x_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 <=> ( V_x_2 = V_y_2 % 242.21/242.43 | ( V_x_2 != V_y_2 % 242.21/242.43 & hBOOL(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))) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Domain__Id,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Range__Id,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__Id,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pair__leq__def,axiom, % 242.21/242.43 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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Not__Domain__rtrancl,axiom, % 242.21/242.43 ! [V_y_2,V_R_2,V_x_2,T_b] : % 242.21/242.43 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 242.21/242.43 => ( hBOOL(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))) % 242.21/242.43 <=> V_x_2 = V_y_2 ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc__downwards__aux,axiom, % 242.21/242.43 ! [V_r_2,V_a_2,V_b_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acc__downwards,axiom, % 242.21/242.43 ! [V_b_2,V_r_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 242.21/242.43 => ( 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))) % 242.21/242.43 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_wf__insert,axiom, % 242.21/242.43 ! [V_r_2,V_x_2,V_y_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.43 & ~ hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_acyclic__insert,axiom, % 242.21/242.43 ! [V_r_2,V_x_2,V_y_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 242.21/242.43 & ~ hBOOL(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))) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_refl__reflcl,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_Id__def,axiom, % 242.21/242.43 ! [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))))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_irrefl__diff__Id,axiom, % 242.21/242.43 ! [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))) ). % 242.21/242.43 % 242.21/242.43 fof(fact_pred__nat__trancl__eq__le,axiom, % 242.21/242.43 ! [V_n_2,V_m_2] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__subset__Sigma__aux,axiom, % 242.21/242.43 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.43 ( hBOOL(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))) % 242.21/242.43 => ( 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)))) % 242.21/242.43 => ( V_a_2 = V_b_2 % 242.21/242.43 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_irrefl__tranclI,axiom, % 242.21/242.43 ! [V_x_2,V_r_2,T_b] : % 242.21/242.43 ( 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)) % 242.21/242.43 => ~ hBOOL(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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_sequence__trans,axiom, % 242.21/242.43 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 242.21/242.43 ( ! [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))) % 242.21/242.43 => 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))) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_total__on__diff__Id,axiom, % 242.21/242.43 ! [V_r_2,V_A_2,T_b] : % 242.21/242.43 ( 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))) % 242.21/242.43 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_converse__Id,axiom, % 242.21/242.43 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 242.21/242.43 % 242.21/242.43 fof(fact_rtrancl__converse,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_trancl__converse,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.43 % 242.21/242.43 fof(fact_finite__converse,axiom, % 242.21/242.43 ! [V_r_2,T_c,T_b] : % 242.21/242.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 242.21/242.43 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 242.21/242.43 % 242.21/242.43 fof(fact_converse__Id__on,axiom, % 242.21/242.43 ! [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) ). % 242.21/242.43 % 242.21/242.43 fof(fact_converse__Int,axiom, % 242.21/242.43 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_total__on__converse,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.21/242.44 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__converse,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_Field__converse,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__inv__image,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__Un,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__rel__comp,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_refl__on__converse,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.21/242.44 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__UNION,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__iff,axiom, % 242.21/242.44 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converseI,axiom, % 242.21/242.44 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converseD,axiom, % 242.21/242.44 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_acyclic__converse,axiom, % 242.21/242.44 ! [V_r_2,T_b] : % 242.21/242.44 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.21/242.44 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_wf__converse__trancl,axiom, % 242.21/242.44 ! [V_r_2,T_b] : % 242.21/242.44 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.21/242.44 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_equiv__comp__eq,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.44 => 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 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Range__converse,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Domain__converse,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Range__def,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_total__on__empty,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__converseI,axiom, % 242.21/242.44 ! [V_r_2,V_x_2,V_y_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => hBOOL(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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__converseD,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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)))) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_trancl__converseD,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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)))) % 242.21/242.44 => hBOOL(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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_trancl__converseI,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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)))) % 242.21/242.44 => hBOOL(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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Image__subset__eq,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> 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))))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_refl__on__comp__subset,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_comp__equivI,axiom, % 242.21/242.44 ! [V_A_2,V_r_2,T_b] : % 242.21/242.44 ( 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 % 242.21/242.44 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 242.21/242.44 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__acyclic__wf__converse,axiom, % 242.21/242.44 ! [V_r_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 242.21/242.44 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 242.21/242.44 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_total__on__def,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => ! [B_xa] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 242.21/242.44 => ( B_x != B_xa % 242.21/242.44 => ( 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)) % 242.21/242.44 | 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)) ) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__def,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 242.21/242.44 ! [V_R_2,V_p_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_acyclicI,axiom, % 242.21/242.44 ! [V_r_2,T_b] : % 242.21/242.44 ( ! [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))) % 242.21/242.44 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_wf__exp,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_funpow__swap1,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_funpow__mult,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_comp__funpow,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__1,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__commute,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__imp__rtrancl,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,V_p_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__power,axiom, % 242.21/242.44 ! [V_R_2,V_p_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 242.21/242.44 <=> ? [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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_relpow_Osimps_I2_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__add,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_relpow_Osimps_I1_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__0__E,axiom, % 242.21/242.44 ! [V_R_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => V_x_2 = V_y_2 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__0__I,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__Suc__I2,axiom, % 242.21/242.44 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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)) % 242.21/242.44 => ( 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))) % 242.21/242.44 => hBOOL(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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__Suc__I,axiom, % 242.21/242.44 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ( 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)) % 242.21/242.44 => hBOOL(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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_funpow_Osimps_I2_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_funpow__add,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_funpow_Osimps_I1_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_trancl__power,axiom, % 242.21/242.44 ! [V_R_2,V_p_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 242.21/242.44 <=> ? [B_n] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 242.21/242.44 & 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_funpow__code__def,axiom, % 242.21/242.44 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__E2,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => V_x_2 != V_z_2 ) % 242.21/242.44 => ~ ! [B_y,B_m] : % 242.21/242.44 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 242.21/242.44 => ( 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)) % 242.21/242.44 => ~ 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))) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__E,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => V_x_2 != V_z_2 ) % 242.21/242.44 => ~ ! [B_y,B_m] : % 242.21/242.44 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 242.21/242.44 => ( 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))) % 242.21/242.44 => ~ 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)) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Image__Int__eq,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__rel__pow,axiom, % 242.21/242.44 ! [V_n_2,V_R_2,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__Id,axiom, % 242.21/242.44 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__subset,axiom, % 242.21/242.44 ! [V_s_2,V_r_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 242.21/242.44 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__rel__comp,axiom, % 242.21/242.44 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 242.21/242.44 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__Id__on,axiom, % 242.21/242.44 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valuedD,axiom, % 242.21/242.44 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 242.21/242.44 => ( 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)) % 242.21/242.44 => ( 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)) % 242.21/242.44 => V_y_2 = V_z_2 ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__def,axiom, % 242.21/242.44 ! [V_r_2,T_c,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 242.21/242.44 <=> ! [B_x,B_y] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ! [B_z] : % 242.21/242.44 ( 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)) % 242.21/242.44 => B_y = B_z ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_single__valued__confluent,axiom, % 242.21/242.44 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 242.21/242.44 => ( hBOOL(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))) % 242.21/242.44 => ( hBOOL(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))) % 242.21/242.44 => ( 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))) % 242.21/242.44 | 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))) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__Un__separatorE,axiom, % 242.21/242.44 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 242.21/242.44 ( hBOOL(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)))) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ! [B_y] : % 242.21/242.44 ( 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)) % 242.21/242.44 => B_x = B_y ) ) % 242.21/242.44 => hBOOL(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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__Un__separator__converseE,axiom, % 242.21/242.44 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 242.21/242.44 ( hBOOL(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)))) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ! [B_y] : % 242.21/242.44 ( 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)) % 242.21/242.44 => B_y = B_x ) ) % 242.21/242.44 => hBOOL(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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__Suc__E,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ~ ! [B_y] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ~ 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__Suc__E2,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ~ ! [B_y] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ~ 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__pow__Suc__D2,axiom, % 242.21/242.44 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ? [B_y] : % 242.21/242.44 ( 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)) % 242.21/242.44 & 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_tranclD,axiom, % 242.21/242.44 ! [V_R_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ? [B_z] : % 242.21/242.44 ( 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)) % 242.21/242.44 & 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_tranclD2,axiom, % 242.21/242.44 ! [V_R_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ? [B_z] : % 242.21/242.44 ( 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))) % 242.21/242.44 & 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_IdE,axiom, % 242.21/242.44 ! [V_p_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 242.21/242.44 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__image__def,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__empty,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding_Oeq__fold,axiom, % 242.21/242.44 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__def,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_union__fold__insert,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__sup__insert,axiom, % 242.21/242.44 ! [V_a_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Osemilattice__sup(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__inf__insert,axiom, % 242.21/242.44 ! [V_a_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_Ofold__inf__insert,axiom, % 242.21/242.44 ! [V_a_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_Ofold__sup__insert,axiom, % 242.21/242.44 ! [V_a_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 242.21/242.44 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 242.21/242.44 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sup__SUPR__fold__sup,axiom, % 242.21/242.44 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sup__le__fold__sup,axiom, % 242.21/242.44 ! [V_b_2,V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Osemilattice__sup(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__inf__le__inf,axiom, % 242.21/242.44 ! [V_b_2,V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 242.21/242.44 ! [V_b_2,V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_Osup__le__fold__sup,axiom, % 242.21/242.44 ! [V_b_2,V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold1__eq__fold__idem,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Olattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Olattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Min_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Max_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_minus__fold__remove,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__one_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_SUPR__fold__sup,axiom, % 242.21/242.44 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold1__eq__fold,axiom, % 242.21/242.44 ! [V_a_2,V_A_2,T_b] : % 242.21/242.44 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Olattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Olattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Min_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Max_Oeq__fold_H,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__rec,axiom, % 242.21/242.44 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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)))))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 242.21/242.44 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)))))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm,axiom, % 242.21/242.44 ! [T_b] : % 242.21/242.44 ( class_Groups_Oab__semigroup__mult(T_b) % 242.21/242.44 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 242.21/242.44 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 242.21/242.44 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 242.21/242.44 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 242.21/242.44 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 242.21/242.44 => V_y_2 = V_x_2 ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 242.21/242.44 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__equality,axiom, % 242.21/242.44 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 242.21/242.44 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 242.21/242.44 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 242.21/242.44 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__insert,axiom, % 242.21/242.44 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 242.21/242.44 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => ? [B_y_H] : % 242.21/242.44 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 242.21/242.44 & 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)) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INFI__fold__inf,axiom, % 242.21/242.44 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF1__D,axiom, % 242.21/242.44 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF1__E,axiom, % 242.21/242.44 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__D,axiom, % 242.21/242.44 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__E,axiom, % 242.21/242.44 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF2__D,axiom, % 242.21/242.44 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF2__E,axiom, % 242.21/242.44 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__INT,axiom, % 242.21/242.44 ! [V_A_2,T_c,V_I_2,T_b] : % 242.21/242.44 ( ? [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 242.21/242.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Compl__INT,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Compl__UN,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UN__extend__simps_I7_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UN__simps_I7_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I9_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I9_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Image__INT__subset,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__const,axiom, % 242.21/242.44 ! [V_M_2,T_b,V_A_2,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__absorb,axiom, % 242.21/242.44 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__insert__distrib,axiom, % 242.21/242.44 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_vimage__INT,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I10_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I10_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__Int__distrib,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__commute,axiom, % 242.21/242.44 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INFI__apply,axiom, % 242.21/242.44 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Pow__INT__eq,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.44 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.44 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__INT__eq2,axiom, % 242.21/242.44 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__iff,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I5_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I5_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__INT__eq,axiom, % 242.21/242.44 ! [V_x_2,V_r_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INFI__bool__eq,axiom, % 242.21/242.44 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__constant,axiom, % 242.21/242.44 ! [V_c_2,T_c,T_b,V_A_2] : % 242.21/242.44 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__empty,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I2_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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 ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I1_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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 ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Collect__ball__eq,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__insert,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__subset__iff,axiom, % 242.21/242.44 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_le__INF__iff,axiom, % 242.21/242.44 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( 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))) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__lower,axiom, % 242.21/242.44 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__less__iff,axiom, % 242.21/242.44 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 242.21/242.44 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 & class_Orderings_Olinorder(T_b) ) % 242.21/242.44 => ( 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)) % 242.21/242.44 <=> ? [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.21/242.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__Un,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Un__INT__distrib2,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I6_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Un__INT__distrib,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I7_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I6_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I7_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converse__INTER,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__subset,axiom, % 242.21/242.44 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INTER__def,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I1_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I2_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I3_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I3_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I4_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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 ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_bij__image__INT,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF__leI,axiom, % 242.21/242.44 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__greaterThan__UNIV,axiom, % 242.21/242.44 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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I4_J,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 242.21/242.44 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Image__INT__eq,axiom, % 242.21/242.44 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 242.21/242.44 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 242.21/242.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_inf__INFI__fold__inf,axiom, % 242.21/242.44 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__fold__inf,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__fold__sup,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__Inter,axiom, % 242.21/242.44 ! [V_M_2,T_b] : % 242.21/242.44 ( ? [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 242.21/242.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 242.21/242.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UnionI,axiom, % 242.21/242.44 ! [V_A_2,V_C_2,V_X_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_InterE,axiom, % 242.21/242.44 ! [V_X_2,V_C_2,V_A_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_InterD,axiom, % 242.21/242.44 ! [V_X_2,V_C_2,V_A_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__image__eq,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INTER__eq__Inter__image,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF2__iff,axiom, % 242.21/242.44 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INF1__iff,axiom, % 242.21/242.44 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__extend__simps_I8_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_INT__simps_I8_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Un__Inter,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__Inf,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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)))))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__Sup,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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))))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_less__Sup__iff,axiom, % 242.21/242.44 ! [V_S_2,V_a_2,T_b] : % 242.21/242.44 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 & class_Orderings_Olinorder(T_b) ) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 242.21/242.44 <=> ? [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.21/242.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__less__iff,axiom, % 242.21/242.44 ! [V_a_2,V_S_2,T_b] : % 242.21/242.44 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 & class_Orderings_Olinorder(T_b) ) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 242.21/242.44 <=> ? [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.21/242.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__le__iff,axiom, % 242.21/242.44 ! [V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( 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)) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_le__Inf__iff,axiom, % 242.21/242.44 ! [V_A_2,V_b_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( 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))) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__upper,axiom, % 242.21/242.44 ! [V_A_2,V_B_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__disjoint,axiom, % 242.21/242.44 ! [V_A_2,V_C_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Field__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__Pow__eq,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sigma__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UN__extend__simps_I8_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UN__simps_I8_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Range__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Int__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Int__Union2,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_image__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_vimage__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Domain__Union,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__lower,axiom, % 242.21/242.44 ! [V_A_2,V_B_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__empty,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__mono,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__quotient,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.44 => 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 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__insert,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__UnionD,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 242.21/242.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_subset__Pow__Union,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__anti__mono,axiom, % 242.21/242.44 ! [V_A_2,V_B_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__empty,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__eq,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__UNIV,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__Un__distrib,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__insert,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UNION__eq__Union__image,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__image__eq,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__upper,axiom, % 242.21/242.44 ! [V_A_2,V_x_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__UNIV,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__lower,axiom, % 242.21/242.44 ! [V_A_2,V_x_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__Un__distrib,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__empty,axiom, % 242.21/242.44 ! [T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__singleton,axiom, % 242.21/242.44 ! [V_a_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__insert,axiom, % 242.21/242.44 ! [V_A_2,V_a_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Int__Inter__image,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__UNIV,axiom, % 242.21/242.44 ! [T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__singleton,axiom, % 242.21/242.44 ! [V_a_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__empty,axiom, % 242.21/242.44 ! [T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__UNIV,axiom, % 242.21/242.44 ! [T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__insert,axiom, % 242.21/242.44 ! [V_A_2,V_a_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Un__eq__Union,axiom, % 242.21/242.44 ! [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))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Un__Union__image,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__Int__subset,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Int__eq__Inter,axiom, % 242.21/242.44 ! [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))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__Un__subset,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__binary,axiom, % 242.21/242.44 ! [V_b_2,V_a_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__binary,axiom, % 242.21/242.44 ! [V_b_2,V_a_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sup__Sup__fold__sup,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Sup__fin__Sup,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_inf__Inf__fold__inf,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inf__fin__Inf,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_image__INT,axiom, % 242.21/242.44 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 242.21/242.44 => 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)) ) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 242.21/242.44 => 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_card__partition,axiom, % 242.21/242.44 ! [V_k_2,V_C_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 242.21/242.44 => ( ! [B_c] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 242.21/242.44 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 242.21/242.44 => ( ! [B_c1] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 242.21/242.44 => ! [B_c2] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 242.21/242.44 => ( B_c1 != B_c2 % 242.21/242.44 => 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)) ) ) ) % 242.21/242.44 => 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)) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__def,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Union__def,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__Union,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 242.21/242.44 => ( ! [B_M] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 242.21/242.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_insert__partition,axiom, % 242.21/242.44 ! [V_F_2,V_x_2,T_b] : % 242.21/242.44 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ! [B_xa] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( B_x != B_xa % 242.21/242.44 => 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)) ) ) ) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_inj__on__Inter,axiom, % 242.21/242.44 ! [V_f_2,T_c,T_b,V_S_2] : % 242.21/242.44 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 242.21/242.44 => ( ! [B_A] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 242.21/242.44 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Inter__subset,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( ! [B_X] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 242.21/242.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_inj__on__INTER,axiom, % 242.21/242.44 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 242.21/242.44 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 => ( ! [B_i] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 242.21/242.44 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 242.21/242.44 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.44 => ( 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)) % 242.21/242.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => ~ ! [B_y] : % 242.21/242.44 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 242.21/242.44 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 242.21/242.44 ! [V_c_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 242.21/242.44 ! [V_c_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_InterI,axiom, % 242.21/242.44 ! [V_A_2,V_C_2,T_b] : % 242.21/242.44 ( ! [B_X] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_inf__le__fold__inf,axiom, % 242.21/242.44 ! [V_c_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Osemilattice__inf(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_fold__sup__le__sup,axiom, % 242.21/242.44 ! [V_c_2,V_b_2,V_A_2,T_b] : % 242.21/242.44 ( class_Lattices_Osemilattice__sup(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 242.21/242.44 => 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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_mod__div__decomp,axiom, % 242.21/242.44 ! [V_b,V_a,T_a] : % 242.21/242.44 ( class_Divides_Osemiring__div(T_a) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_wf__eq__minimal,axiom, % 242.21/242.44 ! [V_r_2,T_b] : % 242.21/242.44 ( c_Wellfounded_Owf(T_b,V_r_2) % 242.21/242.44 <=> ! [B_Q] : % 242.21/242.44 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 242.21/242.44 => ? [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 242.21/242.44 & ! [B_y] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 242.21/242.44 => 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__image__simple__idem_Oidem,axiom, % 242.21/242.44 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.44 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 242.21/242.44 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_transfer__nat__int__set__cong,axiom, % 242.21/242.44 ! [V_P_H_2,V_Pa_2] : % 242.21/242.44 ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 242.21/242.44 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.44 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Int__Collect__mono,axiom, % 242.21/242.44 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.21/242.44 => hBOOL(hAPP(V_Qa_2,B_x)) ) ) % 242.21/242.44 => 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)))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_UnionE,axiom, % 242.21/242.44 ! [V_C_2,V_A_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ~ ! [B_X] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_converseE,axiom, % 242.21/242.44 ! [V_r_2,V_yx_2,T_c,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ~ ! [B_x,B_y] : % 242.21/242.44 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 242.21/242.44 => ~ 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rel__compE,axiom, % 242.21/242.44 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ~ ! [B_x,B_y,B_z] : % 242.21/242.44 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 242.21/242.44 => ( 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)) % 242.21/242.44 => ~ 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Oplus__frac__def,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Otimes__frac__def,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Oof__frac__def,axiom, % 242.21/242.44 ! [V_q,T_a,T_b] : % 242.21/242.44 ( ( class_Rings_Oinverse(T_b) % 242.21/242.44 & class_Rings_Oring__1(T_b) ) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Oless__frac__def,axiom, % 242.21/242.44 ! [V_r_2,V_q_2,T_b] : % 242.21/242.44 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 242.21/242.44 <=> 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 242.21/242.44 ! [V_r_2,V_q_2,T_b] : % 242.21/242.44 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 242.21/242.44 <=> 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Odenom__def,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Onum__def,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_setprod__pos,axiom, % 242.21/242.44 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Rings_Olinordered__semidom(T_c) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_internal__split__def,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_internal__split__conv,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_setprod__nonneg,axiom, % 242.21/242.44 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.44 ( class_Rings_Olinordered__semidom(T_c) % 242.21/242.44 => ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_bool_Osize_I2_J,axiom, % 242.21/242.44 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.44 % 242.21/242.44 fof(fact_bool_Osize_I1_J,axiom, % 242.21/242.44 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__less__ub,axiom, % 242.21/242.44 ! [V_u_2,V_f_2] : % 242.21/242.44 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lenlex__def,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_neq__if__length__neq,axiom, % 242.21/242.44 ! [V_ys,V_xs,T_a] : % 242.21/242.44 ( 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) % 242.21/242.44 => V_xs != V_ys ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexn__length,axiom, % 242.21/242.44 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 242.21/242.44 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lenlex__conv,axiom, % 242.21/242.44 ! [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)))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__sublist,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexn_Osimps_I2_J,axiom, % 242.21/242.44 ! [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)))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_impossible__Cons,axiom, % 242.21/242.44 ! [V_x,V_ys,V_xs,T_a] : % 242.21/242.44 ( 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))) % 242.21/242.44 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Oinject,axiom, % 242.21/242.44 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> ( V_a_2 = V_a_H_2 % 242.21/242.44 & V_list_2 = V_list_H_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_not__Cons__self2,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 242.21/242.44 % 242.21/242.44 fof(fact_not__Cons__self,axiom, % 242.21/242.44 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osize_I4_J,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Cons__in__lex,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( ( hBOOL(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)) % 242.21/242.44 & 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) ) % 242.21/242.44 | ( V_x_2 = V_y_2 % 242.21/242.44 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__Cons__def,axiom, % 242.21/242.44 ! [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)))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_pick_Osimps,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a,V_i] : % 242.21/242.44 ( ( 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))) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( ~ 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))) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_select__weight__cons__zero,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexord__cons__cons,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( hBOOL(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)) % 242.21/242.44 | ( V_a_2 = V_b_2 % 242.21/242.44 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexord__lex,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 & 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osize_I2_J,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Cons__acc__listrel1I,axiom, % 242.21/242.44 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 242.21/242.44 => ( 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)))) % 242.21/242.44 => 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)))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1__converse,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1__mono,axiom, % 242.21/242.44 ! [V_s_2,V_r_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1I2,axiom, % 242.21/242.44 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 242.21/242.44 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1__eq__len,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__listrel1__eq__len,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__listrel1__converse,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 242.21/242.44 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Cons__listrel1__Cons,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( ( hBOOL(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)) % 242.21/242.44 & V_xs_2 = V_ys_2 ) % 242.21/242.44 | ( V_x_2 = V_y_2 % 242.21/242.44 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1I1,axiom, % 242.21/242.44 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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)) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__Cons,axiom, % 242.21/242.44 ! [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))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexord__linear,axiom, % 242.21/242.44 ! [V_y_2,V_x_2,V_r_2,T_b] : % 242.21/242.44 ( ! [B_a,B_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 | B_a = B_b % 242.21/242.44 | 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)) ) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 | V_x_2 = V_y_2 % 242.21/242.44 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__rtrancl__refl,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__mono,axiom, % 242.21/242.44 ! [V_s_2,V_r_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__eq__len,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__rtrancl__trans,axiom, % 242.21/242.44 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__reflcl__if__listrel1,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1__subset__listrel,axiom, % 242.21/242.44 ! [V_r_H_2,V_r_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel_OCons,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(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)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrelp__listrel__eq,axiom, % 242.21/242.44 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__Cons1,axiom, % 242.21/242.44 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => ~ ! [B_y,B_ys] : % 242.21/242.44 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 242.21/242.44 => ( 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)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrelp_Oequations_I2_J,axiom, % 242.21/242.44 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 242.21/242.44 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrelp_OCons,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 242.21/242.44 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__Cons2,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => ~ ! [B_x,B_xs] : % 242.21/242.44 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 242.21/242.44 => ( 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)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__subset,axiom, % 242.21/242.44 ! [V_A_2,V_r_2,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => 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))))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists__UNIV,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists__mono,axiom, % 242.21/242.44 ! [V_B_2,V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_equiv__listrel,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__refl__on,axiom, % 242.21/242.44 ! [V_r_2,V_A_2,T_b] : % 242.21/242.44 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Cons__in__lists__iff,axiom, % 242.21/242.44 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists__accI,axiom, % 242.21/242.44 ! [V_r_2,V_xs_2,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists__accD,axiom, % 242.21/242.44 ! [V_r_2,V_xs_2,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__iff__nth,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( 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) % 242.21/242.44 & ! [B_n] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexord__irreflexive,axiom, % 242.21/242.44 ! [V_y_2,V_r_2,T_b] : % 242.21/242.44 ( ! [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)) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth_Osimps,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_infinite__UNIV__listI,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__eq__iff__nth__eq,axiom, % 242.21/242.44 ! [T_b,V_ys_2,V_xs_2] : % 242.21/242.44 ( V_xs_2 = V_ys_2 % 242.21/242.44 <=> ( 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) % 242.21/242.44 & ! [B_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__Cons__Suc,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__Cons__0,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__Cons_H,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a,V_n] : % 242.21/242.44 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 242.21/242.44 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__Cons__number__of,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a,V_v] : % 242.21/242.44 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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 ) % 242.21/242.44 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexord__take__index__conv,axiom, % 242.21/242.44 ! [V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( ( 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))) % 242.21/242.44 & 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 ) % 242.21/242.44 | ? [B_i] : % 242.21/242.44 ( 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)))) % 242.21/242.44 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 242.21/242.44 & 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__sublist,axiom, % 242.21/242.44 ! [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))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__set,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__subset__Cons,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__all,axiom, % 242.21/242.44 ! [V_n,V_xs,T_a] : % 242.21/242.44 ( 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)) % 242.21/242.44 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__take__subset,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__take__subset__set__take,axiom, % 242.21/242.44 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__sublist__subset,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__take,axiom, % 242.21/242.44 ! [V_xs,T_a,V_n,V_i] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__Suc__Cons,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_notin__set__sublistI,axiom, % 242.21/242.44 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => ~ 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__takeD,axiom, % 242.21/242.44 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__sublistD,axiom, % 242.21/242.44 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__ConsD,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => ( V_y_2 = V_x_2 % 242.21/242.44 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__take,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__take,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sublist__upt__eq__take,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_List_Oset_Osimps_I2_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_card__length,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_all__set__conv__all__nth,axiom, % 242.21/242.44 ! [V_Pa_2,V_xs_2,T_b] : % 242.21/242.44 ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.21/242.44 <=> ! [B_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__size__estimation,axiom, % 242.21/242.44 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__size__estimation_H,axiom, % 242.21/242.44 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 242.21/242.44 => 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))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__lists__conv__set,axiom, % 242.21/242.44 ! [V_A_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__pos__if__in__set,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__mem,axiom, % 242.21/242.44 ! [V_xs_2,T_b,V_n_2] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__conv__nth,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 <=> ? [B_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists__eq__set,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__conv__nth,axiom, % 242.21/242.44 ! [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))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__lists__length__eq,axiom, % 242.21/242.44 ! [V_n_2,V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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))))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_finite__lists__length__le,axiom, % 242.21/242.44 ! [V_n_2,V_A_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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))))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__iff__zip,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ( 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) % 242.21/242.44 & ! [B_x] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => 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)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__zip,axiom, % 242.21/242.44 ! [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)))))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__zip,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__zip,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__Cons__Cons,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__eq__iff__zip__eq,axiom, % 242.21/242.44 ! [T_b,V_ys_2,V_xs_2] : % 242.21/242.44 ( V_xs_2 = V_ys_2 % 242.21/242.44 <=> ( 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) % 242.21/242.44 & ! [B_x] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__zipE,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__zip__rightD,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__zip__leftD,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 242.21/242.44 ( 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)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__same,axiom, % 242.21/242.44 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 242.21/242.44 ( hBOOL(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)))) % 242.21/242.44 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 & V_a_2 = V_b_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__zip,axiom, % 242.21/242.44 ! [V_ys,T_b,V_xs,T_a,V_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( 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))) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_greaterThanLessThan__upto,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listsum__setsum__nth,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 242.21/242.44 ! [V_ns_2] : % 242.21/242.44 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 <=> ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 242.21/242.44 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_atLeastAtMost__upto,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__upto,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_elem__le__listsum__nat,axiom, % 242.21/242.44 ! [V_ns,V_k] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listsum__simps_I2_J,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a] : % 242.21/242.44 ( class_Groups_Omonoid__add(T_a) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_atLeastLessThan__upto,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_greaterThanAtMost__upto,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nat__list__def,axiom, % 242.21/242.44 ! [V_l_2] : % 242.21/242.44 ( c_List_Onat__list(V_l_2) % 242.21/242.44 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__size__pointwise,axiom, % 242.21/242.44 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 242.21/242.44 ( ! [B_x] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listsum__update__nat,axiom, % 242.21/242.44 ! [V_n,V_ns,V_k] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_butlast__take,axiom, % 242.21/242.44 ! [V_xs,T_a,V_n] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__beyond,axiom, % 242.21/242.44 ! [V_x,V_i,V_xs,T_a] : % 242.21/242.44 ( 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)) % 242.21/242.44 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__id,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__list__update__neq,axiom, % 242.21/242.44 ! [V_x,V_xs,T_a,V_j,V_i] : % 242.21/242.44 ( V_i != V_j % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__list__update,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_butlast__list__update,axiom, % 242.21/242.44 ! [V_x,V_xs,T_a,V_k] : % 242.21/242.44 ( ( 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)) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( 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)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__update,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_update__zip,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__swap,axiom, % 242.21/242.44 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 242.21/242.44 ( V_i != V_i_H % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__overwrite,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__code_I3_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__code_I2_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update_Osimps_I2_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__butlastD,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 242.21/242.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__update__subsetI,axiom, % 242.21/242.44 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 242.21/242.44 ( 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)) % 242.21/242.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__update__subset__insert,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__list__update__eq,axiom, % 242.21/242.44 ! [V_x,V_xs,T_a,V_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__same__conv,axiom, % 242.21/242.44 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 242.21/242.44 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__list__update,axiom, % 242.21/242.44 ! [V_x,V_j,V_xs,T_a,V_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( ( V_i = V_j % 242.21/242.44 => 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 ) % 242.21/242.44 & ( V_i != V_j % 242.21/242.44 => 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) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__butlast,axiom, % 242.21/242.44 ! [V_xs,T_a,V_n] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__butlast,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__update__memI,axiom, % 242.21/242.44 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_butlast__conv__take,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel1__iff__update,axiom, % 242.21/242.44 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 <=> ? [B_y,B_n] : % 242.21/242.44 ( 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)) % 242.21/242.44 & 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))) % 242.21/242.44 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__list__update,axiom, % 242.21/242.44 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 => ( ~ 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)))))) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__upto,axiom, % 242.21/242.44 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__take,axiom, % 242.21/242.44 ! [V_i,V_xs,T_a] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__sublistI,axiom, % 242.21/242.44 ! [V_I_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__zipI2,axiom, % 242.21/242.44 ! [V_xs,T_b,V_ys,T_a] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__zipI1,axiom, % 242.21/242.44 ! [V_ys,T_b,V_xs,T_a] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct_Osimps_I2_J,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 242.21/242.44 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__card,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_card__distinct,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__eq__iff__index__eq,axiom, % 242.21/242.44 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 => ( 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))) % 242.21/242.44 => ( 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))) % 242.21/242.44 => ( 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) % 242.21/242.44 <=> V_i_2 = V_j_2 ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__conv__nth,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 <=> ! [B_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ! [B_j] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( B_i != B_j % 242.21/242.44 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__listsum__conv__Setsum,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nitpick_Ocard_H__def,axiom, % 242.21/242.44 ! [V_A_2,T_b] : % 242.21/242.44 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)))) ) % 242.21/242.44 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__take__lemma,axiom, % 242.21/242.44 ! [V_ys,V_xs,T_a,V_k] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( 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))) % 242.21/242.44 => ( ! [B_i] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 242.21/242.44 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 242.21/242.44 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__remove1__eq,axiom, % 242.21/242.44 ! [V_x_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.44 => 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__Cons__number__of,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a,V_v] : % 242.21/242.44 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists_ONil,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__Nil2,axiom, % 242.21/242.44 ! [V_r_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__Nil1,axiom, % 242.21/242.44 ! [V_r_2,V_xs_2,T_b] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.44 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__butlast,axiom, % 242.21/242.44 ! [T_a,V_xs] : % 242.21/242.44 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.44 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct_Osimps_I1_J,axiom, % 242.21/242.44 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_distinct__remove1,axiom, % 242.21/242.44 ! [V_x,V_xs,T_a] : % 242.21/242.44 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.44 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sublist__empty,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_butlast_Osimps_I1_J,axiom, % 242.21/242.44 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 242.21/242.44 % 242.21/242.44 fof(fact_butlast_Osimps_I2_J,axiom, % 242.21/242.44 ! [V_x,T_a,V_xs] : % 242.21/242.44 ( ( V_xs = c_List_Olist_ONil(T_a) % 242.21/242.44 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 242.21/242.44 & ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_remove1_Osimps_I2_J,axiom, % 242.21/242.44 ! [V_xs,T_a,V_y,V_x] : % 242.21/242.44 ( ( V_x = V_y % 242.21/242.44 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 242.21/242.44 & ( V_x != V_y % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osimps_I3_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osimps_I2_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_upto__empty,axiom, % 242.21/242.44 ! [V_i,V_j] : % 242.21/242.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 242.21/242.44 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__Nil,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__eq__Nil,axiom, % 242.21/242.44 ! [V_xs_2,V_n_2,T_b] : % 242.21/242.44 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 242.21/242.44 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__0,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sublist__nil,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_remove1_Osimps_I1_J,axiom, % 242.21/242.44 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 242.21/242.44 % 242.21/242.44 fof(fact_remove1__commute,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osize_I1_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrelp_ONil,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrelp_Oequations_I1_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip_Osimps_I1_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__Nil,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listsum__simps_I1_J,axiom, % 242.21/242.44 ! [T_a] : % 242.21/242.44 ( class_Groups_Omonoid__add(T_a) % 242.21/242.44 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__0__conv,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osize_I3_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__empty,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.21/242.44 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__empty2,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 242.21/242.44 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_List_Oset_Osimps_I1_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__remove1,axiom, % 242.21/242.44 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 242.21/242.44 ( V_a_2 != V_b_2 % 242.21/242.44 => ( 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)))) % 242.21/242.44 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_notin__set__remove1,axiom, % 242.21/242.44 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => ~ 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)))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_remove1__idem,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__nonempty,axiom, % 242.21/242.44 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 242.21/242.44 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 242.21/242.44 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update_Osimps_I1_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__code_I1_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__remove1__subset,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__greater__0__conv,axiom, % 242.21/242.44 ! [V_xs_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__1__Cons,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_not__listrel1__Nil,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_not__Nil__listrel1,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel_ONil,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lexord__Nil__right,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nil2__notin__lex,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nil__notin__lex,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__Cons,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_upto_Osimps,axiom, % 242.21/242.44 ! [V_j,V_i] : % 242.21/242.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 242.21/242.44 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sublist__singleton,axiom, % 242.21/242.44 ! [V_x_2,T_b,V_A_2] : % 242.21/242.44 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_lists__empty,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__Cons_H,axiom, % 242.21/242.44 ! [V_xs,V_x,T_a,V_n] : % 242.21/242.44 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_upto__rec__number__of,axiom, % 242.21/242.44 ! [V_n,V_m] : % 242.21/242.44 ( ( 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))) % 242.21/242.44 => 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))) ) % 242.21/242.44 & ( ~ 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))) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listrel__Nil,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__Cons__sing__Nil,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__remove1,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => 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) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_upto_Opsimps,axiom, % 242.21/242.44 ! [V_j_2,V_i_2] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 242.21/242.44 => 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)) ) % 242.21/242.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 242.21/242.44 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_select,axiom, % 242.21/242.44 ! [V_s_2,T_b,V_xs_2] : % 242.21/242.44 ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.21/242.44 => 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))) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listset_Osimps_I1_J,axiom, % 242.21/242.44 ! [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))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__Cons1,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osimps_I5_J,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list_Osimps_I4_J,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_listset_Osimps_I2_J,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__Cons,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sorted__list__of__set__remove,axiom, % 242.21/242.44 ! [V_x_2,V_A_2,T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_upto_Opinduct,axiom, % 242.21/242.44 ! [V_Pa_2,V_a1_2,V_a0_2] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( ! [B_i,B_j] : % 242.21/242.44 ( 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))) % 242.21/242.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 242.21/242.44 => 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)) ) % 242.21/242.44 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 242.21/242.44 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sorted__list__of__set__empty,axiom, % 242.21/242.44 ! [T_b] : % 242.21/242.44 ( class_Orderings_Olinorder(T_b) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_anamorph_Osimps,axiom, % 242.21/242.44 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 242.21/242.44 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_sublist__Cons,axiom, % 242.21/242.44 ! [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)))) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append1__eq__conv,axiom, % 242.21/242.44 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> ( V_xs_2 = V_ys_2 % 242.21/242.44 & V_x_2 = V_y_2 ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Cons__eq__append__conv,axiom, % 242.21/242.44 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 242.21/242.44 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 242.21/242.44 | ? [B_ys_H] : % 242.21/242.44 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 242.21/242.44 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__eq__Cons__conv,axiom, % 242.21/242.44 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 242.21/242.44 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 242.21/242.44 | ? [B_ys_H] : % 242.21/242.44 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 242.21/242.44 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_Cons__eq__appendI,axiom, % 242.21/242.44 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 242.21/242.44 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 242.21/242.44 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 242.21/242.44 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__Cons,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__in__lists__conv,axiom, % 242.21/242.44 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( 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))) % 242.21/242.44 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 242.21/242.44 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__assoc,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__eq__append__conv2,axiom, % 242.21/242.44 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> ? [B_us] : % 242.21/242.44 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 242.21/242.44 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 242.21/242.44 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 242.21/242.44 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_same__append__eq,axiom, % 242.21/242.44 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> V_ys_2 = V_zs_2 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__same__eq,axiom, % 242.21/242.44 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 242.21/242.44 ( 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) % 242.21/242.44 <=> V_ys_2 = V_zs_2 ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__eq__appendI,axiom, % 242.21/242.44 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 242.21/242.44 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 242.21/242.44 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 242.21/242.44 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_listsum__append,axiom, % 242.21/242.44 ! [V_ys,V_xs,T_a] : % 242.21/242.44 ( class_Groups_Omonoid__add(T_a) % 242.21/242.44 => 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)) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_length__append,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_zip__append,axiom, % 242.21/242.44 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 242.21/242.44 ( 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) % 242.21/242.44 => ( 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) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_set__append,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_eq__Nil__appendI,axiom, % 242.21/242.44 ! [T_a,V_ys,V_xs] : % 242.21/242.44 ( V_xs = V_ys % 242.21/242.44 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__self__conv2,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 242.21/242.44 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__self__conv,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 242.21/242.44 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__is__Nil__conv,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 242.21/242.44 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 242.21/242.44 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_self__append__conv2,axiom, % 242.21/242.44 ! [V_xs_2,T_b,V_ys_2] : % 242.21/242.44 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 242.21/242.44 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_self__append__conv,axiom, % 242.21/242.44 ! [V_ys_2,T_b,V_xs_2] : % 242.21/242.44 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 242.21/242.44 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__Nil2,axiom, % 242.21/242.44 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 242.21/242.44 % 242.21/242.44 fof(fact_Nil__is__append__conv,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.44 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 242.21/242.44 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 242.21/242.44 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_append__Nil,axiom, % 242.21/242.44 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 242.21/242.44 % 242.21/242.44 fof(fact_butlast__append,axiom, % 242.21/242.44 ! [V_xs,T_a,V_ys] : % 242.21/242.44 ( ( V_ys = c_List_Olist_ONil(T_a) % 242.21/242.44 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 242.21/242.44 & ( V_ys != c_List_Olist_ONil(T_a) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__append__length,axiom, % 242.21/242.44 ! [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 ). % 242.21/242.44 % 242.21/242.44 fof(fact_nth__append__length__plus,axiom, % 242.21/242.44 ! [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) ). % 242.21/242.44 % 242.21/242.44 fof(fact_take__append,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__append1,axiom, % 242.21/242.44 ! [V_x,V_ys,V_xs,T_a,V_i] : % 242.21/242.44 ( 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))) % 242.21/242.44 => 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) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_list__update__length,axiom, % 242.21/242.44 ! [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)) ). % 242.21/242.44 % 242.21/242.44 fof(fact_remove1__append,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => 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) ) % 242.21/242.44 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.44 => 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)) ) ) ). % 242.21/242.44 % 242.21/242.44 fof(fact_in__set__butlast__appendI,axiom, % 242.21/242.44 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 242.21/242.44 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 242.21/242.44 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 242.21/242.45 => 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))))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_butlast__snoc,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_append__listrel1I,axiom, % 242.21/242.45 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.45 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 & V_us_2 = V_vs_2 ) % 242.21/242.45 | ( V_xs_2 = V_ys_2 % 242.21/242.45 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lexord__append__leftI,axiom, % 242.21/242.45 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__append,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 242.21/242.45 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.45 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 242.21/242.45 & 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nth__append,axiom, % 242.21/242.45 ! [V_ys,V_xs,T_a,V_n] : % 242.21/242.45 ( ( 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))) % 242.21/242.45 => 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) ) % 242.21/242.45 & ( ~ 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))) % 242.21/242.45 => 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))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__update__append,axiom, % 242.21/242.45 ! [V_x,V_ys,V_xs,T_a,V_n] : % 242.21/242.45 ( ( 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))) % 242.21/242.45 => 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) ) % 242.21/242.45 & ( ~ 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))) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublist__append,axiom, % 242.21/242.45 ! [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)))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listrel1I,axiom, % 242.21/242.45 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 242.21/242.45 ( hBOOL(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)) % 242.21/242.45 => ( 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)) % 242.21/242.45 => ( 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)) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lexord__append__left__rightI,axiom, % 242.21/242.45 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 242.21/242.45 ( hBOOL(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)) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__Suc__conv__app__nth,axiom, % 242.21/242.45 ! [V_xs,T_a,V_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_snoc__listrel1__snoc__iff,axiom, % 242.21/242.45 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 & V_x_2 = V_y_2 ) % 242.21/242.45 | ( V_xs_2 = V_ys_2 % 242.21/242.45 & hBOOL(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)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listrel1E,axiom, % 242.21/242.45 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 => ~ ! [B_x,B_y] : % 242.21/242.45 ( 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)) % 242.21/242.45 => ! [B_us,B_vs] : % 242.21/242.45 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 242.21/242.45 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lexord__append__leftD,axiom, % 242.21/242.45 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 => ( ! [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)) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate1__def,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upd__conv__take__nth__drop,axiom, % 242.21/242.45 ! [V_a,V_xs,T_a,V_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_append__take__drop__id,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__Suc__Cons,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__1__Cons,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_nth__via__drop,axiom, % 242.21/242.45 ! [V_ys,V_y,V_xs,V_n,T_a] : % 242.21/242.45 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 242.21/242.45 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct1__rotate,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 242.21/242.45 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__drop,axiom, % 242.21/242.45 ! [V_i,V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__butlast,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_butlast__drop,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__drop,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__take,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__drop,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__0,axiom, % 242.21/242.45 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__zip,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__drop,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__rotate1,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__rotate1,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_in__set__dropD,axiom, % 242.21/242.45 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__drop__subset,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate1__is__Nil__conv,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__Nil,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__drop__subset__set__drop,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 242.21/242.45 => 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)))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__eq__Nil,axiom, % 242.21/242.45 ! [V_xs_2,V_n_2,T_b] : % 242.21/242.45 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__all,axiom, % 242.21/242.45 ! [V_n,V_xs,T_a] : % 242.21/242.45 ( 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)) % 242.21/242.45 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__append,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_append__eq__conv__conj,axiom, % 242.21/242.45 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 242.21/242.45 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 242.21/242.45 <=> ( 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) % 242.21/242.45 & 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__Cons,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__Cons_H,axiom, % 242.21/242.45 ! [V_xs,V_x,T_a,V_n] : % 242.21/242.45 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 => 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) ) % 242.21/242.45 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nth__drop,axiom, % 242.21/242.45 ! [V_xs,T_a,V_i,V_n] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_append__eq__append__conv__if,axiom, % 242.21/242.45 ! [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] : % 242.21/242.45 ( 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) % 242.21/242.45 <=> ( ( 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))) % 242.21/242.45 => ( 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) % 242.21/242.45 & 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) ) ) % 242.21/242.45 & ( ~ 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))) % 242.21/242.45 => ( 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 % 242.21/242.45 & 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 ) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nth__drop_H,axiom, % 242.21/242.45 ! [V_xs,T_a,V_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__simps,axiom, % 242.21/242.45 ! [V_xs,V_x,T_b,T_a] : % 242.21/242.45 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 242.21/242.45 & 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__Cons__number__of,axiom, % 242.21/242.45 ! [V_xs,V_x,T_a,V_v] : % 242.21/242.45 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 => 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) ) % 242.21/242.45 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__add,axiom, % 242.21/242.45 ! [V_xs,T_a,V_j,V_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate1__length01,axiom, % 242.21/242.45 ! [V_xs,T_a] : % 242.21/242.45 ( 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))) % 242.21/242.45 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__append1,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__append2,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_id__take__nth__drop,axiom, % 242.21/242.45 ! [V_xs,T_a,V_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__hd__drop,axiom, % 242.21/242.45 ! [V_xs,T_a,V_n] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__drop__conv__nth,axiom, % 242.21/242.45 ! [V_n,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => ( 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))) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd_Osimps,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__append,axiom, % 242.21/242.45 ! [V_ys,T_a,V_xs] : % 242.21/242.45 ( ( V_xs = c_List_Olist_ONil(T_a) % 242.21/242.45 => 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) ) % 242.21/242.45 & ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__append2,axiom, % 242.21/242.45 ! [V_ys,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__in__set,axiom, % 242.21/242.45 ! [T_b,V_xs_2] : % 242.21/242.45 ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__conv__nth,axiom, % 242.21/242.45 ! [T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate1__hd__tl,axiom, % 242.21/242.45 ! [T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__rotate__conv__nth,axiom, % 242.21/242.45 ! [V_n,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_tl__drop,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__tl,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_tl_Osimps_I2_J,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__rotate,axiom, % 242.21/242.45 ! [V_xs_2,V_n_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 242.21/242.45 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__tl,axiom, % 242.21/242.45 ! [V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__add,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__rotate,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate0,axiom, % 242.21/242.45 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__rotate,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__rotate,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__is__Nil__conv,axiom, % 242.21/242.45 ! [V_xs_2,V_n_2,T_b] : % 242.21/242.45 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_tl_Osimps_I1_J,axiom, % 242.21/242.45 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate1__rotate__swap,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__def,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_tl__append2,axiom, % 242.21/242.45 ! [V_ys,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__tl,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__conv__mod,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__Suc,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__Suc,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_tl__append,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__id,axiom, % 242.21/242.45 ! [V_xs,T_a,V_n] : % 242.21/242.45 ( 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) % 242.21/242.45 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__length01,axiom, % 242.21/242.45 ! [V_n,V_xs,T_a] : % 242.21/242.45 ( 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))) % 242.21/242.45 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__tl,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_tl__take,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__Suc,axiom, % 242.21/242.45 ! [V_n,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__drop__take,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_fold1__set,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 242.21/242.45 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sorted__list__of__set__insert,axiom, % 242.21/242.45 ! [V_x_2,V_A_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.45 => 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)))))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__not__Nil,axiom, % 242.21/242.45 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__Nil,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_remove1__insort,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__insort,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__insort,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_start__le__sum,axiom, % 242.21/242.45 ! [V_ns_2,V_n_2,V_m_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_fun__left__comm__insort,axiom, % 242.21/242.45 ! [T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__left__comm,axiom, % 242.21/242.45 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__key__left__comm,axiom, % 242.21/242.45 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__assoc,axiom, % 242.21/242.45 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 242.21/242.45 ( class_Groups_Osemigroup__add(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__absorb0,axiom, % 242.21/242.45 ! [V_zs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Groups_Omonoid__add(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__Cons,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__key_Osimps_I2_J,axiom, % 242.21/242.45 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( ( 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))) % 242.21/242.45 => 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)) ) % 242.21/242.45 & ( ~ 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))) % 242.21/242.45 => 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)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__key_Osimps_I1_J,axiom, % 242.21/242.45 ! [V_x_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__append,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__foldl,axiom, % 242.21/242.45 ! [T_b] : % 242.21/242.45 ( class_Groups_Omonoid__add(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sum__eq__0__conv,axiom, % 242.21/242.45 ! [V_ns_2,V_m_2] : % 242.21/242.45 ( 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) % 242.21/242.45 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 & ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 242.21/242.45 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__insort,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => ( 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))) % 242.21/242.45 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 242.21/242.45 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Sup__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Inf__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Sup__fin__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Lattices_Olattice(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Inf__fin__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Lattices_Olattice(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Min__fin__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Max__fin__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_min__max_OInf__fin__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_min__max_OSup__fin__set__fold,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_SUPR__set__fold,axiom, % 242.21/242.45 ! [V_f_2,V_xs_2,T_c,T_b] : % 242.21/242.45 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_INFI__set__fold,axiom, % 242.21/242.45 ! [V_f_2,V_xs_2,T_c,T_b] : % 242.21/242.45 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_elem__le__sum,axiom, % 242.21/242.45 ! [V_ns_2,V_n_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__insert__insort__key,axiom, % 242.21/242.45 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( ~ 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)))) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lexord__append__rightI,axiom, % 242.21/242.45 ! [V_r_2,V_x_2,T_b,V_y_2] : % 242.21/242.45 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__insort__insert,axiom, % 242.21/242.45 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.45 => 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))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__insert__triv,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__insort__insert,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__insert__key__triv,axiom, % 242.21/242.45 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( 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)))) % 242.21/242.45 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_insort__insert__insort,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lexord__Nil__left,axiom, % 242.21/242.45 ! [V_r_2,V_y_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.21/242.45 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__list__update,axiom, % 242.21/242.45 ! [V_x,V_k,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => ( ( 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)) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 242.21/242.45 & ( 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)) % 242.21/242.45 => 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) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__ConsL,axiom, % 242.21/242.45 ! [V_x,T_a,V_xs] : % 242.21/242.45 ( V_xs = c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__ConsR,axiom, % 242.21/242.45 ! [V_x,T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last_Osimps,axiom, % 242.21/242.45 ! [V_x,T_a,V_xs] : % 242.21/242.45 ( ( V_xs = c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 242.21/242.45 & ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__appendL,axiom, % 242.21/242.45 ! [V_xs,T_a,V_ys] : % 242.21/242.45 ( V_ys = c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__appendR,axiom, % 242.21/242.45 ! [V_xs,T_a,V_ys] : % 242.21/242.45 ( V_ys != c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__append,axiom, % 242.21/242.45 ! [V_xs,T_a,V_ys] : % 242.21/242.45 ( ( V_ys = c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 242.21/242.45 & ( V_ys != c_List_Olist_ONil(T_a) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__in__set,axiom, % 242.21/242.45 ! [T_b,V_as_2] : % 242.21/242.45 ( V_as_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__snoc,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__drop,axiom, % 242.21/242.45 ! [V_xs,T_a,V_n] : % 242.21/242.45 ( 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))) % 242.21/242.45 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_append__butlast__last__id,axiom, % 242.21/242.45 ! [T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_snoc__eq__iff__butlast,axiom, % 242.21/242.45 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 242.21/242.45 ( 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 % 242.21/242.45 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 242.21/242.45 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__conv__nth,axiom, % 242.21/242.45 ! [T_a,V_xs] : % 242.21/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lists_Osimps,axiom, % 242.21/242.45 ! [V_A_2,V_a_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 242.21/242.45 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 242.21/242.45 | ? [B_a,B_l] : % 242.21/242.45 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 242.21/242.45 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 242.21/242.45 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_select__weigth__select,axiom, % 242.21/242.45 ! [T_b,V_xs_2] : % 242.21/242.45 ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_inj__mapI,axiom, % 242.21/242.45 ! [V_f_2,T_c,T_b] : % 242.21/242.45 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_last__map,axiom, % 242.21/242.45 ! [V_f_2,T_c,T_b,V_xs_2] : % 242.21/242.45 ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__size__map,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_List_Omap_Oid,axiom, % 242.21/242.45 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_List_Omap_Oidentity,axiom, % 242.21/242.45 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__map,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_List_Omap_Ocompositionality,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__comp__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_List_Omap_Ocomp,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__inj__on,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( 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) % 242.21/242.45 => ( 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))) % 242.21/242.45 => V_xs_2 = V_ys_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_inj__on__map__eq__map,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 => ( 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) % 242.21/242.45 <=> V_xs_2 = V_ys_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_drop__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_hd__map,axiom, % 242.21/242.45 ! [V_f_2,T_c,T_b,V_xs_2] : % 242.21/242.45 ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__append,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map_Osimps_I2_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__butlast,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_take__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__ident,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 242.21/242.45 % 242.21/242.45 fof(fact_inj__map__eq__map,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 242.21/242.45 => ( 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) % 242.21/242.45 <=> V_xs_2 = V_ys_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__injective,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( 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) % 242.21/242.45 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 242.21/242.45 => V_xs_2 = V_ys_2 ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__addf,axiom, % 242.21/242.45 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__0,axiom, % 242.21/242.45 ! [V_xs_2,T_c,T_b] : % 242.21/242.45 ( class_Groups_Omonoid__add(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__mult__const,axiom, % 242.21/242.45 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( class_Rings_Osemiring__0(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__const__mult,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 242.21/242.45 ( class_Rings_Osemiring__0(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__subtractf,axiom, % 242.21/242.45 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( class_Groups_Oab__group__add(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__eq__imp__length__eq,axiom, % 242.21/242.45 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( 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) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__map,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__eq__conv,axiom, % 242.21/242.45 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( 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) % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 242.21/242.45 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__update,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__is__Nil__conv,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map_Osimps_I1_J,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Nil__is__map__conv,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 242.21/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__map2,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__zip__map2,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__zip__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__map1,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__map__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__same__conv__map,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_rotate__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__tl,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__fun__upd,axiom, % 242.21/242.45 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 242.21/242.45 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nth__map,axiom, % 242.21/242.45 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__map,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__map,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 242.21/242.45 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 242.21/242.45 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__abs,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 242.21/242.45 => 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)))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_uminus__listsum__map,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( class_Groups_Oab__group__add(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_inj__on__mapI,axiom, % 242.21/242.45 ! [V_A_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_inj__mapD,axiom, % 242.21/242.45 ! [V_f_2,T_c,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_inj__map,axiom, % 242.21/242.45 ! [V_f_2,T_c,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 242.21/242.45 ! [V_f_2,V_xs_2,T_b,T_c] : % 242.21/242.45 ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__triv,axiom, % 242.21/242.45 ! [V_xs_2,V_r_2,T_c,T_b] : % 242.21/242.45 ( class_Rings_Osemiring__1(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__map__remove1,axiom, % 242.21/242.45 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 242.21/242.45 ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => 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)))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Nitpick_Osetsum_H__def,axiom, % 242.21/242.45 ! [V_f_2,V_A_2,T_b,T_c] : % 242.21/242.45 ( class_Groups_Ocomm__monoid__add(T_c) % 242.21/242.45 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.45 => 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))))) ) % 242.21/242.45 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.21/242.45 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_pick__same,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_l_2] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_code__numeral_Oof__nat__inject,axiom, % 242.21/242.45 ! [V_y_2,V_x_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 242.21/242.45 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 242.21/242.45 <=> V_x_2 = V_y_2 ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_one__code__numeral__def,axiom, % 242.21/242.45 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zero__code__numeral__def,axiom, % 242.21/242.45 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 242.21/242.45 ! [V_m_2,V_n_2] : % 242.21/242.45 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 242.21/242.45 <=> V_n_2 = V_m_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_times__code__numeral__code,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 242.21/242.45 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 242.21/242.45 % 242.21/242.45 fof(fact_less__code__numeral__code,axiom, % 242.21/242.45 ! [V_m_2,V_n_2] : % 242.21/242.45 ( 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))) % 242.21/242.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__fst__zip,axiom, % 242.21/242.45 ! [V_ys_2,T_c,V_xs_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 => 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 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__snd__zip,axiom, % 242.21/242.45 ! [V_ys_2,T_c,V_xs_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 => 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 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_number__of__code__numeral__def,axiom, % 242.21/242.45 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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__map__fst__snd,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_plus__code__numeral__code,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_less__eq__code__numeral__code,axiom, % 242.21/242.45 ! [V_m_2,V_n_2] : % 242.21/242.45 ( 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))) % 242.21/242.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_pick__member,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_i_2] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => 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)))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_zip__eq__conv,axiom, % 242.21/242.45 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 242.21/242.45 <=> ( 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 % 242.21/242.45 & 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 ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__size__conv__listsum,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_code__numeral__not__eq__zero,axiom, % 242.21/242.45 ! [V_i_2] : % 242.21/242.45 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 242.21/242.45 <=> 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 242.21/242.45 ! [V_l_2,V_k_2,V_f_2,T_b] : % 242.21/242.45 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 242.21/242.45 ! [V_j_2,V_i_2,V_f_2,T_b] : % 242.21/242.45 ( class_Groups_Ocomm__monoid__add(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_select__weight__member,axiom, % 242.21/242.45 ! [V_s_2,V_xs_2,T_b] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => 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)))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_select__weight__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_select__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_subtract__code__numeral__code,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nat__of__inverse,axiom, % 242.21/242.45 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 242.21/242.45 % 242.21/242.45 fof(fact_of__nat__nat__of,axiom, % 242.21/242.45 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 242.21/242.45 % 242.21/242.45 fof(fact_nat__of__of__nat,axiom, % 242.21/242.45 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 242.21/242.45 % 242.21/242.45 fof(fact_times__code__numeral__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 242.21/242.45 ! [V_l_2,V_k_2] : % 242.21/242.45 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 242.21/242.45 <=> V_k_2 = V_l_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_code__numeral_Onat__of__inject,axiom, % 242.21/242.45 ! [V_y_2,V_x_2] : % 242.21/242.45 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 242.21/242.45 <=> V_x_2 = V_y_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_type__definition__code__numeral,axiom, % 242.21/242.45 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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_less__code__numeral__def,axiom, % 242.21/242.45 ! [V_m_2,V_n_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 242.21/242.45 <=> 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nat__of,axiom, % 242.21/242.45 ! [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)))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nat__of__number,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_int__of__def,axiom, % 242.21/242.45 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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_less__eq__code__numeral__def,axiom, % 242.21/242.45 ! [V_m_2,V_n_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 242.21/242.45 <=> 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nat__of__code,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nat__of__aux__def,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Suc__code__numeral__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_minus__code__numeral__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_of__nat__inverse,axiom, % 242.21/242.45 ! [V_y_2] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 242.21/242.45 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_plus__code__numeral__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_div__code__numeral__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_subtract__code__numeral__def,axiom, % 242.21/242.45 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 242.21/242.45 % 242.21/242.45 fof(fact_minus__code__numeral__code,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_mod__code__numeral__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_code__numeral__decr,axiom, % 242.21/242.45 ! [V_k] : % 242.21/242.45 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsum__mono,axiom, % 242.21/242.45 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 242.21/242.45 ( ( class_Groups_Omonoid__add(T_c) % 242.21/242.45 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 242.21/242.45 => ( ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 242.21/242.45 => 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)))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition__set,axiom, % 242.21/242.45 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lists__Int__eq,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp_ONil,axiom, % 242.21/242.45 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_append__in__listsp__conv,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 242.21/242.45 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 242.21/242.45 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp_Oequations_I2_J,axiom, % 242.21/242.45 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 242.21/242.45 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 242.21/242.45 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp__inf__eq,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp__infI,axiom, % 242.21/242.45 ! [V_B_2,V_l_2,V_A_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 242.21/242.45 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp__conj__eq,axiom, % 242.21/242.45 ! [V_x_2,V_B_2,V_A_2,T_b] : % 242.21/242.45 ( 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)) % 242.21/242.45 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 242.21/242.45 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_in__listsp__conv__set,axiom, % 242.21/242.45 ! [V_xs_2,V_A_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp_Oequations_I1_J,axiom, % 242.21/242.45 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp__mono,axiom, % 242.21/242.45 ! [V_B_2,V_A_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition__P,axiom, % 242.21/242.45 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 => ( ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 242.21/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.21/242.45 & ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 242.21/242.45 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition_Osimps_I1_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_listsp__lists__eq,axiom, % 242.21/242.45 ! [V_x_2,V_A_2,T_b] : % 242.21/242.45 ( 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)) % 242.21/242.45 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition_Osimps_I2_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_lists__IntI,axiom, % 242.21/242.45 ! [V_B_2,V_A_2,V_l_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_product_Osimps_I2_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__def,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 <=> ( 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) % 242.21/242.45 & ! [B_x] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__map1,axiom, % 242.21/242.45 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 <=> 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__map2,axiom, % 242.21/242.45 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( 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)) % 242.21/242.45 <=> 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__Nil,axiom, % 242.21/242.45 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 242.21/242.45 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__Nil2,axiom, % 242.21/242.45 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 242.21/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__lengthD,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__eq,axiom, % 242.21/242.45 ! [T_b,V_ys_2,V_xs_2] : % 242.21/242.45 ( V_xs_2 = V_ys_2 % 242.21/242.45 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__takeI,axiom, % 242.21/242.45 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__Cons,axiom, % 242.21/242.45 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( 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)) % 242.21/242.45 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 242.21/242.45 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__append,axiom, % 242.21/242.45 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 => ( 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)) % 242.21/242.45 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__appendI,axiom, % 242.21/242.45 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) % 242.21/242.45 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__dropI,axiom, % 242.21/242.45 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_product_Osimps_I1_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__conv__all__nth,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 <=> ( 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) % 242.21/242.45 & ! [B_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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))) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__nthD,axiom, % 242.21/242.45 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 => ( 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))) % 242.21/242.45 => 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))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__nthD2,axiom, % 242.21/242.45 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 => ( 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))) % 242.21/242.45 => 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))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__update__cong,axiom, % 242.21/242.45 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 242.21/242.45 ( 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))) % 242.21/242.45 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 242.21/242.45 => 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)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2__update__cong2,axiom, % 242.21/242.45 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.21/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 242.21/242.45 => ( 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))) % 242.21/242.45 => 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)) ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__product,axiom, % 242.21/242.45 ! [V_ys,T_b,V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 242.21/242.45 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_product__list__set,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublists__powset,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__sublists,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublists_Osimps_I1_J,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublists_Osimps_I2_J,axiom, % 242.21/242.45 ! [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))))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__set__sublists,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.45 => 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)))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__n__lists,axiom, % 242.21/242.45 ! [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)))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_enum__the__def,axiom, % 242.21/242.45 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__n__lists,axiom, % 242.21/242.45 ! [V_n,V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_n__lists__Nil,axiom, % 242.21/242.45 ! [T_a,V_n] : % 242.21/242.45 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 => 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))) ) % 242.21/242.45 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_n__lists_Osimps_I1_J,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__n__lists,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__n__lists__elem,axiom, % 242.21/242.45 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_list__all2I,axiom, % 242.21/242.45 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] : % 242.21/242.45 ( ! [B_x] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 242.21/242.45 => ( 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) % 242.21/242.45 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_all__nth__imp__all__set,axiom, % 242.21/242.45 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 242.21/242.45 ( ! [B_i] : % 242.21/242.45 ( 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))) % 242.21/242.45 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 242.21/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 242.21/242.45 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__removeAll__inj__on,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__remdups,axiom, % 242.21/242.45 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__remdups__leq,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__remdups__id,axiom, % 242.21/242.45 ! [V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__removeAll,axiom, % 242.21/242.45 ! [V_x,V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups__id__iff__distinct,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 242.21/242.45 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remove1__remdups,axiom, % 242.21/242.45 ! [V_x,V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__remdups__eq,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( 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) % 242.21/242.45 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__remdups,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups__remdups,axiom, % 242.21/242.45 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 242.21/242.45 % 242.21/242.45 fof(fact_removeAll__append,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_removeAll_Osimps_I2_J,axiom, % 242.21/242.45 ! [V_xs,T_a,V_y,V_x] : % 242.21/242.45 ( ( V_x = V_y % 242.21/242.45 => 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) ) % 242.21/242.45 & ( V_x != V_y % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups__eq__nil__iff,axiom, % 242.21/242.45 ! [V_x_2,T_b] : % 242.21/242.45 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_removeAll_Osimps_I1_J,axiom, % 242.21/242.45 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups__eq__nil__right__iff,axiom, % 242.21/242.45 ! [V_x_2,T_b] : % 242.21/242.45 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 242.21/242.45 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups_Osimps_I1_J,axiom, % 242.21/242.45 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups__map__remdups,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_removeAll__id,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__remove1__removeAll,axiom, % 242.21/242.45 ! [V_x,V_xs,T_a] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.21/242.45 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups_Osimps_I2_J,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => 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) ) % 242.21/242.45 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => 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)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__remdups__card__conv,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__removeAll__inj,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 242.21/242.45 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__removeAll,axiom, % 242.21/242.45 ! [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)))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__remdups__concat,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat__conv__foldl,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__conv__concat,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat_Osimps_I1_J,axiom, % 242.21/242.45 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sort__key__simps_I1_J,axiom, % 242.21/242.45 ! [V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat_Osimps_I2_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__sort,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__sort,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__sort,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 242.21/242.45 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat__eq__Nil__conv,axiom, % 242.21/242.45 ! [V_xss_2,T_b] : % 242.21/242.45 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 242.21/242.45 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_Nil__eq__concat__conv,axiom, % 242.21/242.45 ! [V_xss_2,T_b] : % 242.21/242.45 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 242.21/242.45 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_map__concat,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__concat,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__concat,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sort__key__simps_I2_J,axiom, % 242.21/242.45 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat__append,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sort__foldl__insort,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Orderings_Olinorder(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat__injective,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.45 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 242.21/242.45 => ( 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) % 242.21/242.45 => ( ! [B_x] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => 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)) ) % 242.21/242.45 => V_xs_2 = V_ys_2 ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat__eq__concat__iff,axiom, % 242.21/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.21/242.45 ( ! [B_x] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => 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)) ) % 242.21/242.45 => ( 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) % 242.21/242.45 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 242.21/242.45 <=> V_xs_2 = V_ys_2 ) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_concat__map__singleton,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_n__lists_Osimps_I2_J,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose_Osimps_I3_J,axiom, % 242.21/242.45 ! [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))))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose__aux__filter__head,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__concat,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__sort,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_distinct__filter,axiom, % 242.21/242.45 ! [V_Pa_2,V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.45 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sum__length__filter__compl,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__filter__le,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__id__conv,axiom, % 242.21/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.21/242.45 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__is__subset,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition__filter2,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition__filter1,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__remove1,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remove1__filter__not,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 242.21/242.45 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__filter,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__insort__triv,axiom, % 242.21/242.45 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 242.21/242.45 ( class_Orderings_Olinorder(T_c) % 242.21/242.45 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__append,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter_Osimps_I2_J,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 242.21/242.45 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.45 => 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)) ) % 242.21/242.45 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.45 => 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) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter_Osimps_I1_J,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose_Osimps_I1_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__empty__conv,axiom, % 242.21/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.21/242.45 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_remdups__filter,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_removeAll__filter__not,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 242.21/242.45 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_removeAll__filter__not__eq,axiom, % 242.21/242.45 ! [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))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose_Osimps_I2_J,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_nth__transpose,axiom, % 242.21/242.45 ! [V_xs_2,T_b,V_i_2] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose__map__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__filter,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__filter__map,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__filter__less,axiom, % 242.21/242.45 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.21/242.45 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.21/242.45 => 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))) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_partition__filter__conv,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__minus__filter__out,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_filter__in__sublist,axiom, % 242.21/242.45 ! [V_s_2,V_xs_2,T_b] : % 242.21/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose__empty,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 242.21/242.45 <=> ! [B_x] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 242.21/242.45 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__filter__conv__card,axiom, % 242.21/242.45 ! [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))))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose__aux__filter__tail,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose_Opsimps_I3_J,axiom, % 242.21/242.45 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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))))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose_Opsimps_I2_J,axiom, % 242.21/242.45 ! [V_xss_2,T_b] : % 242.21/242.45 ( 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))) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublist__shift__lemma__Suc,axiom, % 242.21/242.45 ! [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)))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_pick__drop__zero,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_select__weigth__drop__zero,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose_Opsimps_I1_J,axiom, % 242.21/242.45 ! [T_b] : % 242.21/242.45 ( 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)))) % 242.21/242.45 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose__max__length,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_transpose__aux__max,axiom, % 242.21/242.45 ! [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)))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldr__append,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldr_Osimps_I2_J,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldr_Osimps_I1_J,axiom, % 242.21/242.45 ! [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 ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldr__conv__foldl,axiom, % 242.21/242.45 ! [V_a_2,V_xs_2,T_b] : % 242.21/242.45 ( class_Groups_Oab__semigroup__add(T_b) % 242.21/242.45 => 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) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldr__map,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__foldr1,axiom, % 242.21/242.45 ! [V_xs_2,T_b] : % 242.21/242.45 ( class_Groups_Omonoid__add(T_b) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_foldl__foldr1__lemma,axiom, % 242.21/242.45 ! [V_xs_2,V_a_2,T_b] : % 242.21/242.45 ( class_Groups_Omonoid__add(T_b) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_length__transpose,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublist__def,axiom, % 242.21/242.45 ! [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))))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_sublist__shift__lemma,axiom, % 242.21/242.45 ! [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))))) ). % 242.21/242.45 % 242.21/242.45 fof(fact_set__upt,axiom, % 242.21/242.45 ! [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) ). % 242.21/242.45 % 242.21/242.45 fof(fact_atLeastLessThan__upt,axiom, % 242.21/242.45 ! [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)) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__0,axiom, % 242.21/242.45 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__eq__Nil__conv,axiom, % 242.21/242.45 ! [V_j_2,V_i_2] : % 242.21/242.45 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 242.21/242.45 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.21/242.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__conv__Nil,axiom, % 242.21/242.45 ! [V_i,V_j] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 242.21/242.45 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__conv__Cons,axiom, % 242.21/242.45 ! [V_j,V_i] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.21/242.45 => 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)) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__rec,axiom, % 242.21/242.45 ! [V_j,V_i] : % 242.21/242.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.21/242.45 => 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)) ) % 242.21/242.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.21/242.45 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__add__eq__append,axiom, % 242.21/242.45 ! [V_k,V_j,V_i] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.21/242.45 => 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))) ) ). % 242.21/242.45 % 242.21/242.45 fof(fact_upt__Suc__append,axiom, % 242.21/242.45 ! [V_j,V_i] : % 242.21/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.21/242.45 => 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_upt__Suc,axiom, % 242.40/242.45 ! [V_j,V_i] : % 242.40/242.45 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.40/242.45 => 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))) ) % 242.40/242.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.40/242.45 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_drop__upt,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_hd__upt,axiom, % 242.40/242.45 ! [V_j,V_i] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.40/242.45 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__list__of__set__range,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_take__upt,axiom, % 242.40/242.45 ! [V_n,V_m,V_i] : % 242.40/242.45 ( 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)) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_distinct__upt,axiom, % 242.40/242.45 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_length__upt,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_upt__rec__number__of,axiom, % 242.40/242.45 ! [V_n,V_m] : % 242.40/242.45 ( ( 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))) % 242.40/242.45 => 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))) ) % 242.40/242.45 & ( ~ 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))) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_upt__eq__Cons__conv,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 242.40/242.45 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 242.40/242.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 242.40/242.45 & V_i_2 = V_x_2 % 242.40/242.45 & 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 ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_last__upt,axiom, % 242.40/242.45 ! [V_j,V_i] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_map__Suc__upt,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_atLeastAtMost__upt,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_atLeast__upt,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_nth__upt,axiom, % 242.40/242.45 ! [V_j,V_k,V_i] : % 242.40/242.45 ( 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)) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_greaterThanAtMost__upt,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_greaterThanLessThan__upt,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_atMost__upto,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_map__nth,axiom, % 242.40/242.45 ! [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 ). % 242.40/242.45 % 242.40/242.45 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 242.40/242.45 ! [V_n_2,V_m_2,V_f_2,T_b] : % 242.40/242.45 ( class_Groups_Ocomm__monoid__add(T_b) % 242.40/242.45 => 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 242.40/242.45 ! [V_n_2,V_m_2,V_f_2,T_b] : % 242.40/242.45 ( class_Groups_Ocomm__monoid__add(T_b) % 242.40/242.45 => 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_nth__map__upt,axiom, % 242.40/242.45 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 242.40/242.45 ( 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))) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transpose__rectangle,axiom, % 242.40/242.45 ! [V_n_2,T_b,V_xs_2] : % 242.40/242.45 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 242.40/242.45 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 242.40/242.45 => ( ! [B_i] : % 242.40/242.45 ( 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))) % 242.40/242.45 => 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 ) % 242.40/242.45 => 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)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_insort__key__remove1,axiom, % 242.40/242.45 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 242.40/242.45 ( class_Orderings_Olinorder(T_c) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 242.40/242.45 => ( 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 % 242.40/242.45 => 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 ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted_ONil,axiom, % 242.40/242.45 ! [T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__single,axiom, % 242.40/242.45 ! [V_x,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__upt,axiom, % 242.40/242.45 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__sort,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__insort__insert,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 => 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)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__tl,axiom, % 242.40/242.45 ! [V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__remove1,axiom, % 242.40/242.45 ! [V_a,V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__take,axiom, % 242.40/242.45 ! [V_n,V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__upto,axiom, % 242.40/242.45 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__drop,axiom, % 242.40/242.45 ! [V_n,V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__insort,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( 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)) % 242.40/242.45 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__many,axiom, % 242.40/242.45 ! [V_zs,V_y,V_x,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 242.40/242.45 => 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))) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__many__eq,axiom, % 242.40/242.45 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( 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))) % 242.40/242.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted_Oequations_I1_J,axiom, % 242.40/242.45 ! [T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__butlast,axiom, % 242.40/242.45 ! [V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( V_xs != c_List_Olist_ONil(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__remdups,axiom, % 242.40/242.45 ! [V_l,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__distinct__set__unique,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 242.40/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 242.40/242.45 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 242.40/242.45 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__sort__key,axiom, % 242.40/242.45 ! [V_xs_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__insort__insert__key,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 242.40/242.45 => 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))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__map__remove1,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 242.40/242.45 => 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))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__insort__key,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( 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))) % 242.40/242.45 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__filter,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 242.40/242.45 => 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))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__map__same,axiom, % 242.40/242.45 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__same,axiom, % 242.40/242.45 ! [V_xs_2,V_g_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__Cons,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 242.40/242.45 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 & ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__append,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 242.40/242.45 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 242.40/242.45 & ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => ! [B_xa] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 242.40/242.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_filter__insort,axiom, % 242.40/242.45 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 242.40/242.45 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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)) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted_Oequations_I2_J,axiom, % 242.40/242.45 ! [V_a1_2,V_a2_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 242.40/242.45 <=> ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 242.40/242.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__list__of__set,axiom, % 242.40/242.45 ! [V_A_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.40/242.45 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 242.40/242.45 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_insort__remove1,axiom, % 242.40/242.45 ! [V_xs_2,V_a_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 => 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 ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__nth__mono,axiom, % 242.40/242.45 ! [V_j,V_i,V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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))) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__equals__nth__mono,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 <=> ! [B_j] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ! [B_i] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 242.40/242.45 => 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))) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_map__sorted__distinct__set__unique,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 242.40/242.45 ( class_Orderings_Olinorder(T_c) % 242.40/242.45 => ( 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))) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 242.40/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 242.40/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 242.40/242.45 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 242.40/242.45 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transpose__column,axiom, % 242.40/242.45 ! [V_i_2,V_xs_2,T_b] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_nth__nth__transpose__sorted,axiom, % 242.40/242.45 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ( 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)))) % 242.40/242.45 => ( 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)))) % 242.40/242.45 => 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) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_inj__on__rev,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_distinct__rev,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 242.40/242.45 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__append,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_singleton__rev__conv,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( 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) % 242.40/242.45 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__singleton__conv,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,T_b] : % 242.40/242.45 ( 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)) % 242.40/242.45 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__is__Nil__conv,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 242.40/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_Nil__is__rev__conv,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 242.40/242.45 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev_Osimps_I1_J,axiom, % 242.40/242.45 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__concat,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__map,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__filter,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_zip__rev,axiom, % 242.40/242.45 ! [V_ys,T_b,V_xs,T_a] : % 242.40/242.45 ( 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) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_set__rev,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_list__all2__rev,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.40/242.45 ( 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)) % 242.40/242.45 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_list__all2__rev1,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 242.40/242.45 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 242.40/242.45 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__rev__ident,axiom, % 242.40/242.45 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__swap,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.40/242.45 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 242.40/242.45 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__is__rev__conv,axiom, % 242.40/242.45 ! [V_ys_2,V_xs_2,T_b] : % 242.40/242.45 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 242.40/242.45 <=> V_xs_2 = V_ys_2 ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_listsum__rev,axiom, % 242.40/242.45 ! [V_xs,T_a] : % 242.40/242.45 ( class_Groups_Ocomm__monoid__add(T_a) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_length__rev,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_foldr__foldl,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_foldl__foldr,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__eq__Cons__iff,axiom, % 242.40/242.45 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 242.40/242.45 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 242.40/242.45 <=> 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev_Osimps_I2_J,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_hd__rev,axiom, % 242.40/242.45 ! [T_a,V_xs] : % 242.40/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.40/242.45 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_last__rev,axiom, % 242.40/242.45 ! [T_a,V_xs] : % 242.40/242.45 ( V_xs != c_List_Olist_ONil(T_a) % 242.40/242.45 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__transpose,axiom, % 242.40/242.45 ! [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)))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__foldl__cons,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__take,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__drop,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rotate__rev,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__nth,axiom, % 242.40/242.45 ! [V_xs,T_a,V_n] : % 242.40/242.45 ( 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))) % 242.40/242.45 => 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))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_rev__update,axiom, % 242.40/242.45 ! [V_y,V_xs,T_a,V_k] : % 242.40/242.45 ( 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))) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__rev__nth__mono,axiom, % 242.40/242.45 ! [V_j,V_i,V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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))) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_foldr__max__sorted,axiom, % 242.40/242.45 ! [V_y_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 242.40/242.45 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 242.40/242.45 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 242.40/242.45 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.40/242.45 => 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) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_length__transpose__sorted,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 242.40/242.45 => 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) ) % 242.40/242.45 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 242.40/242.45 => 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))) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transpose__column__length,axiom, % 242.40/242.45 ! [V_i_2,V_xs_2,T_b] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transpose__transpose,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( 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))) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 242.40/242.45 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__takeWhile,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_length__takeWhile__le,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_set__takeWhileD,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 242.40/242.45 ( 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)))) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__eq__all__conv,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.45 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 242.40/242.45 <=> ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_zip__takeWhile__fst,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_zip__takeWhile__snd,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__map,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile_Osimps_I1_J,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile_Osimps_I2_J,axiom, % 242.40/242.45 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 242.40/242.45 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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)) ) % 242.40/242.45 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__tail,axiom, % 242.40/242.45 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 242.40/242.45 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__eq__take,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_distinct__takeWhile,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.40/242.45 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_return__list__def,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__append1,axiom, % 242.40/242.45 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__nth,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 242.40/242.45 ( 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)))) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_nth__length__takeWhile,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ~ 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))))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__not__last,axiom, % 242.40/242.45 ! [T_b,V_xs_2] : % 242.40/242.45 ( V_xs_2 != c_List_Olist_ONil(T_b) % 242.40/242.45 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 242.40/242.45 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transfer__nat__int__list__return__embed,axiom, % 242.40/242.45 ! [V_l] : % 242.40/242.45 ( c_List_Onat__list(V_l) % 242.40/242.45 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_embed__list__def,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__neq__rev,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => 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))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__neq__rev,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => 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))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__dropWhile__id,axiom, % 242.40/242.45 ! [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 ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__dropWhile,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_length__dropWhile__le,axiom, % 242.40/242.45 ! [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))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_hd__dropWhile,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.45 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 242.40/242.45 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__eq__Nil__conv,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.45 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 242.40/242.45 <=> ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile_Osimps_I1_J,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile_Osimps_I2_J,axiom, % 242.40/242.45 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 242.40/242.45 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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) ) % 242.40/242.45 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_distinct__dropWhile,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 242.40/242.45 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__map,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__append1,axiom, % 242.40/242.45 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__eq__Cons__conv,axiom, % 242.40/242.45 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 242.40/242.45 ( 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) % 242.40/242.45 <=> ( 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)) % 242.40/242.45 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__eq__drop,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__nth,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 242.40/242.45 ( 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)))) % 242.40/242.45 => 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)))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_listsum__map__filter,axiom, % 242.40/242.45 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 242.40/242.45 ( class_Groups_Omonoid__add(T_c) % 242.40/242.45 => ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 242.40/242.45 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 242.40/242.45 => 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)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted__nth__monoI,axiom, % 242.40/242.45 ! [V_xs,T_a] : % 242.40/242.45 ( class_Orderings_Olinorder(T_a) % 242.40/242.45 => ( ! [B_i,B_j] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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))) ) ) % 242.40/242.45 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__eq__filter,axiom, % 242.40/242.45 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.45 ( ! [B_x] : % 242.40/242.45 ( 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)))) % 242.40/242.45 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.45 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__eq__take__P__nth,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 242.40/242.45 ( ! [B_i] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 242.40/242.45 => ( 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))) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 242.40/242.45 => ( ( 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))) % 242.40/242.45 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 242.40/242.45 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_length__takeWhile__less__P__nth,axiom, % 242.40/242.45 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 242.40/242.45 ( ! [B_i] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 242.40/242.45 => ( 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))) % 242.40/242.45 => 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)))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted_Osimps,axiom, % 242.40/242.45 ! [V_a_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 242.40/242.45 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 242.40/242.45 | ? [B_xs,B_x] : % 242.40/242.45 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 242.40/242.45 & ! [B_xa] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 242.40/242.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_not__in__set__insert,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_List_Oinsert__def,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 242.40/242.45 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_insert__remdups,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_distinct__insert,axiom, % 242.40/242.45 ! [V_x,V_xs,T_a] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 242.40/242.45 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_in__set__insert,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_List_Oset__insert,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_insert__Nil,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_maps__def,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_concat__map__maps,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_maps__simps_I2_J,axiom, % 242.40/242.45 ! [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) ). % 242.40/242.45 % 242.40/242.45 fof(fact_maps__simps_I1_J,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_distinct__concat,axiom, % 242.40/242.45 ! [V_xs_2,T_b] : % 242.40/242.45 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 242.40/242.45 => ( ! [B_ys] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 242.40/242.45 => ( ! [B_ys] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 242.40/242.45 => ! [B_zs] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 242.40/242.45 => ( B_ys != B_zs % 242.40/242.45 => 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)) ) ) ) % 242.40/242.45 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_measures__lesseq,axiom, % 242.40/242.45 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ( hBOOL(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))) % 242.40/242.45 => hBOOL(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)))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_wf__measures,axiom, % 242.40/242.45 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_in__measures_I1_J,axiom, % 242.40/242.45 ! [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))))) ). % 242.40/242.45 % 242.40/242.45 fof(fact_measures__def,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_measures__less,axiom, % 242.40/242.45 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 242.40/242.45 ( 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))) % 242.40/242.45 => hBOOL(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)))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_in__measures_I2_J,axiom, % 242.40/242.45 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 242.40/242.45 ( hBOOL(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)))) % 242.40/242.45 <=> ( 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))) % 242.40/242.45 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 242.40/242.45 & hBOOL(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))) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_foldl__apply,axiom, % 242.40/242.45 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 242.40/242.45 ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => 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)) ) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_order__fun_I2_J,axiom, % 242.40/242.45 ! [V_g_2,V_f_2,T_b,T_c] : % 242.40/242.45 ( ( class_Orderings_Oorder(T_c) % 242.40/242.45 & class_Enum_Oenum(T_b) ) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 242.40/242.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 242.40/242.45 & 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)))) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_enum__ex__prod__def,axiom, % 242.40/242.45 ! [V_Pa_2,T_b,T_c] : % 242.40/242.45 ( ( class_Enum_Oenum(T_c) % 242.40/242.45 & class_Enum_Oenum(T_b) ) % 242.40/242.45 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 242.40/242.45 <=> 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))))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_enum__ex,axiom, % 242.40/242.45 ! [V_Pa_2,T_b] : % 242.40/242.45 ( class_Enum_Oenum(T_b) % 242.40/242.45 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 242.40/242.45 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_exists__code,axiom, % 242.40/242.45 ! [V_Pa_2,T_b] : % 242.40/242.45 ( class_Enum_Oenum(T_b) % 242.40/242.45 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.40/242.45 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_zip__obtain__same__length,axiom, % 242.40/242.45 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 242.40/242.45 ( ( 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)) % 242.40/242.45 => 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)))) ) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_pos__not__random__dseq__def,axiom, % 242.40/242.45 ! [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)) ). % 242.40/242.45 % 242.40/242.45 fof(fact_dropWhile__append2,axiom, % 242.40/242.45 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 242.40/242.45 ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.45 => 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) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_list__all2__all__nthI,axiom, % 242.40/242.45 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] : % 242.40/242.45 ( 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) % 242.40/242.45 => ( ! [B_n] : % 242.40/242.45 ( 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))) % 242.40/242.45 => 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))) ) % 242.40/242.45 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_finite__sorted__distinct__unique,axiom, % 242.40/242.45 ! [V_A_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.40/242.45 => ? [B_x] : % 242.40/242.45 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,B_x) % 242.40/242.45 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 242.40/242.45 & ! [B_y] : % 242.40/242.45 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 242.40/242.45 & c_List_Olinorder__class_Osorted(T_b,B_y) % 242.40/242.45 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 242.40/242.45 => B_y = B_x ) ) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_takeWhile__append2,axiom, % 242.40/242.45 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 242.40/242.45 ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.45 => 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)) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_insort__is__Cons,axiom, % 242.40/242.45 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 242.40/242.45 ( class_Orderings_Olinorder(T_c) % 242.40/242.45 => ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 242.40/242.45 => 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) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_Cons__eq__filter__iff,axiom, % 242.40/242.45 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 242.40/242.45 ( 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) % 242.40/242.45 <=> ? [B_us,B_vs] : % 242.40/242.45 ( 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)) % 242.40/242.45 & ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 242.40/242.45 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.45 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_filter__eq__Cons__iff,axiom, % 242.40/242.45 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 242.40/242.45 ( 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) % 242.40/242.45 <=> ? [B_us,B_vs] : % 242.40/242.45 ( 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)) % 242.40/242.45 & ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 242.40/242.45 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.45 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.45 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_order__fun_I1_J,axiom, % 242.40/242.45 ! [V_g_2,V_f_2,T_b,T_c] : % 242.40/242.45 ( ( class_Orderings_Oorder(T_c) % 242.40/242.45 & class_Enum_Oenum(T_b) ) % 242.40/242.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 242.40/242.45 <=> 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))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_all__code,axiom, % 242.40/242.45 ! [V_Pa_2,T_b] : % 242.40/242.45 ( class_Enum_Oenum(T_b) % 242.40/242.45 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 242.40/242.45 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_enum__all,axiom, % 242.40/242.45 ! [V_Pa_2,T_b] : % 242.40/242.45 ( class_Enum_Oenum(T_b) % 242.40/242.45 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 242.40/242.45 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_enum__all__prod__def,axiom, % 242.40/242.45 ! [V_Pa_2,T_b,T_c] : % 242.40/242.45 ( ( class_Enum_Oenum(T_c) % 242.40/242.45 & class_Enum_Oenum(T_b) ) % 242.40/242.45 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 242.40/242.45 <=> 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))))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_list__ball__nth,axiom, % 242.40/242.45 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 242.40/242.45 ( 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))) % 242.40/242.45 => ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.45 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 242.40/242.45 % 242.40/242.45 fof(fact_sorted_OCons,axiom, % 242.40/242.45 ! [V_x_2,V_xs_2,T_b] : % 242.40/242.45 ( class_Orderings_Olinorder(T_b) % 242.40/242.45 => ( ! [B_x] : % 242.40/242.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 242.40/242.46 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 242.40/242.46 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__length,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ? [B_n] : % 242.40/242.46 ( 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))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_in__set__conv__decomp__first,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 <=> ? [B_ys] : % 242.40/242.46 ( ? [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)) % 242.40/242.46 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__simps_I2_J,axiom, % 242.40/242.46 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__append,axiom, % 242.40/242.46 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 242.40/242.46 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__iff,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__rev,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 242.40/242.46 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__simps_I1_J,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 242.40/242.46 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.46 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_in__set__conv__decomp,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 <=> ? [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)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_in__set__conv__decomp__last,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 <=> ? [B_ys,B_zs] : % 242.40/242.46 ( 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)) % 242.40/242.46 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__length,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ! [B_n] : % 242.40/242.46 ( 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))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_finite__induct,axiom, % 242.40/242.46 ! [V_Pa_2,V_F_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 242.40/242.46 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 242.40/242.46 => ( ! [B_x,B_F] : % 242.40/242.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 242.40/242.46 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 242.40/242.46 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__simps_I2_J,axiom, % 242.40/242.46 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__append,axiom, % 242.40/242.46 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 242.40/242.46 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__iff,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__rev,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 242.40/242.46 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__simps_I1_J,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 242.40/242.46 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.46 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Ball__set__list__all,axiom, % 242.40/242.46 ! [V_Pa_2,V_xs_2,T_b] : % 242.40/242.46 ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__iff__raw,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex1__simps_I2_J,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 242.40/242.46 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.46 => 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) ) % 242.40/242.46 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.46 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_measure__function__int,axiom, % 242.40/242.46 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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_measure__fst,axiom, % 242.40/242.46 ! [T_c,V_f_2,T_b] : % 242.40/242.46 ( c_FunDef_Ois__measure(T_b,V_f_2) % 242.40/242.46 => 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_measure__snd,axiom, % 242.40/242.46 ! [T_c,V_f_2,T_b] : % 242.40/242.46 ( c_FunDef_Ois__measure(T_b,V_f_2) % 242.40/242.46 => 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_is__measure_Ointros,axiom, % 242.40/242.46 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 242.40/242.46 % 242.40/242.46 fof(fact_is__measure_Oequations,axiom, % 242.40/242.46 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 242.40/242.46 % 242.40/242.46 fof(fact_is__measure_Osimps,axiom, % 242.40/242.46 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 242.40/242.46 % 242.40/242.46 fof(fact_measure__size,axiom, % 242.40/242.46 ! [T_b] : % 242.40/242.46 ( class_Nat_Osize(T_b) % 242.40/242.46 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex1__simps_I1_J,axiom, % 242.40/242.46 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex1__iff,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) % 242.40/242.46 & ! [B_y] : % 242.40/242.46 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 242.40/242.46 => B_y = B_x ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_transfer__morphism__int__nat,axiom, % 242.40/242.46 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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 242.40/242.46 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 242.40/242.46 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.40/242.46 => 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) ) % 242.40/242.46 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_bool_Osize_I3_J,axiom, % 242.40/242.46 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(fact_bool_Osize_I4_J,axiom, % 242.40/242.46 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_neg__bind__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 242.40/242.46 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 242.40/242.46 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.40/242.46 => 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) ) % 242.40/242.46 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Opos__empty__def,axiom, % 242.40/242.46 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pos__empty__def,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Opos__bind__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pos__bind__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_neg__map__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_neg__single__def,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pos__map__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Oneg__single__def,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pos__single__def,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Opos__single__def,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_length__splice,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_splice__Nil2,axiom, % 242.40/242.46 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 242.40/242.46 % 242.40/242.46 fof(fact_splice_Osimps_I1_J,axiom, % 242.40/242.46 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 242.40/242.46 % 242.40/242.46 fof(fact_splice_Osimps_I3_J,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_splice_Osimps_I2_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_,axiom, % 242.40/242.46 ! [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)))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_acyclicP__converse,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( 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)))) % 242.40/242.46 <=> 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_converse__join,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_converse__pred__comp,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep__eq,axiom, % 242.40/242.46 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep__conversep,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep__iff,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 242.40/242.46 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep_Oequations,axiom, % 242.40/242.46 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 242.40/242.46 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep_Ointros,axiom, % 242.40/242.46 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversepD,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep__noteq,axiom, % 242.40/242.46 ! [V_y_2,V_x_2,T_b] : % 242.40/242.46 ( 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)) % 242.40/242.46 <=> V_x_2 != V_y_2 ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_converse__meet,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_conversep__converse__eq,axiom, % 242.40/242.46 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 242.40/242.46 ( 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)) % 242.40/242.46 <=> 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_small__lazy__list_Osimps,axiom, % 242.40/242.46 ! [V_d_2,T_b] : % 242.40/242.46 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 242.40/242.46 => 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)))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_tl__replicate,axiom, % 242.40/242.46 ! [V_x,T_a,V_n] : % 242.40/242.46 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => 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) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_small__lazy__prod__def,axiom, % 242.40/242.46 ! [V_d,T_b,T_a] : % 242.40/242.46 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 242.40/242.46 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 242.40/242.46 => 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)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_map__replicate__const,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_length__replicate,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__length__filter,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_map__replicate,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__0,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_empty__replicate,axiom, % 242.40/242.46 ! [V_x_2,V_n_2,T_b] : % 242.40/242.46 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 242.40/242.46 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__empty,axiom, % 242.40/242.46 ! [V_x_2,V_n_2,T_b] : % 242.40/242.46 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 242.40/242.46 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_concat__replicate__trivial,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_filter__replicate,axiom, % 242.40/242.46 ! [V_n_2,T_b,V_x_2,V_Pa_2] : % 242.40/242.46 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.46 => 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) ) % 242.40/242.46 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 242.40/242.46 => 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) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__add,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_append__replicate__commute,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_nth__replicate,axiom, % 242.40/242.46 ! [V_x,T_a,V_n,V_i] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 242.40/242.46 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__eq__replicate,axiom, % 242.40/242.46 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 242.40/242.46 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 242.40/242.46 <=> ( V_m_2 = V_n_2 % 242.40/242.46 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => V_x_2 = V_y_2 ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Bex__set__replicate,axiom, % 242.40/242.46 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 242.40/242.46 ( ? [B_x] : % 242.40/242.46 ( 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)))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 242.40/242.46 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Ball__set__replicate,axiom, % 242.40/242.46 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 242.40/242.46 ( ! [B_x] : % 242.40/242.46 ( 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)))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 242.40/242.46 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_zip__replicate,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_last__replicate,axiom, % 242.40/242.46 ! [V_x,T_a,V_n] : % 242.40/242.46 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_drop__replicate,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_hd__replicate,axiom, % 242.40/242.46 ! [V_x,T_a,V_n] : % 242.40/242.46 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_take__replicate,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_rev__replicate,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__Suc,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__app__Cons__same,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_in__set__replicate,axiom, % 242.40/242.46 ! [V_y_2,V_n_2,V_x_2,T_b] : % 242.40/242.46 ( 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)))) % 242.40/242.46 <=> ( V_x_2 = V_y_2 % 242.40/242.46 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_replicate__append__same,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_map__replicate__trivial,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_set__replicate__conv__if,axiom, % 242.40/242.46 ! [V_x_2,T_b,V_n_2] : % 242.40/242.46 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => 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)) ) % 242.40/242.46 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => 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))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_set__replicate,axiom, % 242.40/242.46 ! [V_x_2,T_b,V_n_2] : % 242.40/242.46 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 242.40/242.46 => 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_set__replicate__Suc,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_New__DSequence_Opos__union__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_eq__comp__r,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_pos__union__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_small__lazy_H_Osimps,axiom, % 242.40/242.46 ! [V_i,V_d] : % 242.40/242.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 242.40/242.46 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 242.40/242.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 242.40/242.46 => 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)))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_small__lazy__int__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_small__lazy_H_Opsimps,axiom, % 242.40/242.46 ! [V_i_2,V_d_2] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 242.40/242.46 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 242.40/242.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 242.40/242.46 => 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)))) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_field__le__epsilon,axiom, % 242.40/242.46 ! [V_y,V_x,T_a] : % 242.40/242.46 ( class_Fields_Olinordered__field(T_a) % 242.40/242.46 => ( ! [B_e] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 242.40/242.46 => 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))) ) % 242.40/242.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_small__lazy_H_Opinduct,axiom, % 242.40/242.46 ! [V_Pa_2,V_a1_2,V_a0_2] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( ! [B_d,B_i] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 242.40/242.46 => 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)))) ) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Oinject,axiom, % 242.40/242.46 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 242.40/242.46 ( 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) % 242.40/242.46 <=> ( V_a_2 = V_a_H_2 % 242.40/242.46 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact__01,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_size__code,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence__size__code,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_seq__case,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_yieldn__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_refl__on__INTER,axiom, % 242.40/242.46 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 242.40/242.46 ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.40/242.46 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 242.40/242.46 => 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)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_List_Omember__def,axiom, % 242.40/242.46 ! [V_x_2,V_xs_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 242.40/242.46 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_member__rec_I1_J,axiom, % 242.40/242.46 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 242.40/242.46 ( 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)) % 242.40/242.46 <=> ( V_x_2 = V_y_2 % 242.40/242.46 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_member__set,axiom, % 242.40/242.46 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 242.40/242.46 % 242.40/242.46 fof(fact_member__rec_I2_J,axiom, % 242.40/242.46 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_in__set__member,axiom, % 242.40/242.46 ! [V_xs_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pair__box_Osize_I1_J,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex1__iff__raw,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) % 242.40/242.46 & ! [B_y] : % 242.40/242.46 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 242.40/242.46 => B_y = B_x ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pair__box_Oinject,axiom, % 242.40/242.46 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 242.40/242.46 ( 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) % 242.40/242.46 <=> ( V_a_2 = V_a_H_2 % 242.40/242.46 & V_b_2 = V_b_H_2 ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pair__box_Osize_I2_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pair__box_Osimps_I2_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_pair__box_Orecs,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_THE__default__def,axiom, % 242.40/242.46 ! [V_d_2,T_b,V_Pa_2] : % 242.40/242.46 ( ( ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.40/242.46 & ! [B_y] : % 242.40/242.46 ( hBOOL(hAPP(V_Pa_2,B_y)) % 242.40/242.46 => B_y = B_x ) ) % 242.40/242.46 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 242.40/242.46 & ( ~ ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(V_Pa_2,B_x)) % 242.40/242.46 & ! [B_y] : % 242.40/242.46 ( hBOOL(hAPP(V_Pa_2,B_y)) % 242.40/242.46 => B_y = B_x ) ) % 242.40/242.46 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_setsum__UNION__zero,axiom, % 242.40/242.46 ! [V_f_2,V_S_2,T_b,T_c] : % 242.40/242.46 ( class_Groups_Ocomm__monoid__add(T_c) % 242.40/242.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 242.40/242.46 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 242.40/242.46 => ( ! [B_T1] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 242.40/242.46 => ! [B_T2] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 242.40/242.46 => ( B_T1 != B_T2 % 242.40/242.46 => ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 242.40/242.46 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 242.40/242.46 => 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) ) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_SUP2__E,axiom, % 242.40/242.46 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ~ ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.40/242.46 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_INF2__I,axiom, % 242.40/242.46 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 242.40/242.46 ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 242.40/242.46 => 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)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_finite__maxlen,axiom, % 242.40/242.46 ! [V_M_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 242.40/242.46 => ? [B_n] : % 242.40/242.46 ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact__02,axiom, % 242.40/242.46 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__iff__all__interval__int,axiom, % 242.40/242.46 ! [V_j_2,V_i_2,V_Pa_2] : % 242.40/242.46 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 242.40/242.46 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 242.40/242.46 ! [V_j_2,V_i_2,V_Pa_2] : % 242.40/242.46 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 242.40/242.46 <=> ~ 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) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_all__interval__int__def,axiom, % 242.40/242.46 ! [V_j_2,V_i_2,V_Pa_2] : % 242.40/242.46 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 242.40/242.46 <=> ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_code__numeral_Orecs_I2_J,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Random_Osimps,axiom, % 242.40/242.46 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 242.40/242.46 ( ( 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))) % 242.40/242.46 => 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)) ) % 242.40/242.46 & ( ~ 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))) % 242.40/242.46 => 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))))))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_code__numeral_Orecs_I1_J,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_Random__Sequence_Oempty__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Random__Sequence_Osingle__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Random__Sequence_Omap__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_exE__realizer,axiom, % 242.40/242.46 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( ! [B_x,B_y] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 242.40/242.46 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 242.40/242.46 => 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))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Image__Collect__split,axiom, % 242.40/242.46 ! [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)))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lexord__trans,axiom, % 242.40/242.46 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 242.40/242.46 => ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__less__than,axiom, % 242.40/242.46 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__lex__prod,axiom, % 242.40/242.46 ! [V_R2_2,T_c,V_R1_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_R1_2) % 242.40/242.46 => ( c_Relation_Otrans(T_c,V_R2_2) % 242.40/242.46 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__def,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 <=> ! [B_x,B_y] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ! [B_z] : % 242.40/242.46 ( 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)) % 242.40/242.46 => 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)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_transD,axiom, % 242.40/242.46 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => ( hBOOL(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)) % 242.40/242.46 => ( 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)) % 242.40/242.46 => hBOOL(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)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__reflclI,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_bex__UNIV,axiom, % 242.40/242.46 ! [V_Pa_2,T_b] : % 242.40/242.46 ( ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_finite__Collect__bex,axiom, % 242.40/242.46 ! [V_Qa_2,T_c,V_A_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 242.40/242.46 => ( 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))))) % 242.40/242.46 <=> ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.40/242.46 => 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)))) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_listrel__trans,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_bex__empty,axiom, % 242.40/242.46 ! [V_Pa_2,T_b] : % 242.40/242.46 ~ ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__converse,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.40/242.46 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lexord__transI,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__finite__psubset,axiom, % 242.40/242.46 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__Id,axiom, % 242.40/242.46 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__Id__on,axiom, % 242.40/242.46 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trancl__id,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__trancl,axiom, % 242.40/242.46 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__rtrancl,axiom, % 242.40/242.46 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__Int,axiom, % 242.40/242.46 ! [V_s_2,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => ( c_Relation_Otrans(T_b,V_s_2) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__O__subset,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => 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)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_SUPR__bool__eq,axiom, % 242.40/242.46 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Union__eq,axiom, % 242.40/242.46 ! [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)))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__inv__image,axiom, % 242.40/242.46 ! [V_f_2,T_c,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_UN__eq,axiom, % 242.40/242.46 ! [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))))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Bex__set__list__ex,axiom, % 242.40/242.46 ! [V_Pa_2,V_xs_2,T_b] : % 242.40/242.46 ( ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__iff__raw,axiom, % 242.40/242.46 ! [V_xs_2,V_Pa_2,T_b] : % 242.40/242.46 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 242.40/242.46 <=> ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_INT__eq,axiom, % 242.40/242.46 ! [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))))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Sup__fun__def,axiom, % 242.40/242.46 ! [V_x_2,V_A_2,T_c,T_b] : % 242.40/242.46 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.40/242.46 => 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)))))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Sup__apply,axiom, % 242.40/242.46 ! [V_x_2,V_A_2,T_c,T_b] : % 242.40/242.46 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.40/242.46 => 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)))))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Inf__fun__def,axiom, % 242.40/242.46 ! [V_x_2,V_A_2,T_c,T_b] : % 242.40/242.46 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.40/242.46 => 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)))))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Inf__apply,axiom, % 242.40/242.46 ! [V_x_2,V_A_2,T_c,T_b] : % 242.40/242.46 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 242.40/242.46 => 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)))))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_max__extp_Ointros,axiom, % 242.40/242.46 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 242.40/242.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 242.40/242.46 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 242.40/242.46 => ? [B_xa] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 242.40/242.46 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 242.40/242.46 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_transp__def,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Predicate_Otransp(T_b,V_r_2) % 242.40/242.46 <=> 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_transpE,axiom, % 242.40/242.46 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 242.40/242.46 ( c_Predicate_Otransp(T_b,V_r_2) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equivpE,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.40/242.46 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 242.40/242.46 => ( c_Predicate_Osymp(T_b,V_R_2) % 242.40/242.46 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equivpI,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Predicate_Oreflp(T_b,V_R_2) % 242.40/242.46 => ( c_Predicate_Osymp(T_b,V_R_2) % 242.40/242.46 => ( c_Predicate_Otransp(T_b,V_R_2) % 242.40/242.46 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sympE,axiom, % 242.40/242.46 ! [V_y_2,V_x_2,V_r_2,T_b] : % 242.40/242.46 ( c_Predicate_Osymp(T_b,V_r_2) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equivp__reflp__symp__transp,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.40/242.46 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 242.40/242.46 & c_Predicate_Osymp(T_b,V_R_2) % 242.40/242.46 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_max__extp_Osimps,axiom, % 242.40/242.46 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 242.40/242.46 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 242.40/242.46 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 242.40/242.46 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 242.40/242.46 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 242.40/242.46 & ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 242.40/242.46 => ? [B_xa] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 242.40/242.46 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_trans__diff__Id,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => ( c_Relation_Oantisym(T_b,V_r_2) % 242.40/242.46 => 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))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__subset,axiom, % 242.40/242.46 ! [V_s_2,V_r_2,T_b] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ( c_Relation_Oantisym(T_b,V_s_2) % 242.40/242.46 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__Id,axiom, % 242.40/242.46 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__Id__on,axiom, % 242.40/242.46 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__converse,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.40/242.46 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__empty,axiom, % 242.40/242.46 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__def,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Oantisym(T_b,V_r_2) % 242.40/242.46 <=> ! [B_x,B_y] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ( 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)) % 242.40/242.46 => B_x = B_y ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisymD,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Oantisym(T_b,V_r_2) % 242.40/242.46 => ( hBOOL(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)) % 242.40/242.46 => ( 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)) % 242.40/242.46 => V_a_2 = V_b_2 ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_antisym__reflcl,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( 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))) % 242.40/242.46 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 242.40/242.46 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_fun__lub__def,axiom, % 242.40/242.46 ! [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)))))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__trans__comp__subset,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__def,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 <=> ! [B_x,B_y] : % 242.40/242.46 ( 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)) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_symD,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => ( hBOOL(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)) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__Int__converse,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__Un__converse,axiom, % 242.40/242.46 ! [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))) ). % 242.40/242.46 % 242.40/242.46 fof(fact_listrel__sym,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__conv__converse__eq,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__converse,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 242.40/242.46 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__Id,axiom, % 242.40/242.46 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__Un,axiom, % 242.40/242.46 ! [V_s_2,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => ( c_Relation_Osym(T_b,V_s_2) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__Id__on,axiom, % 242.40/242.46 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__trancl,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__rtrancl,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__Int,axiom, % 242.40/242.46 ! [V_s_2,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => ( c_Relation_Osym(T_b,V_s_2) % 242.40/242.46 => 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)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_sym__inv__image,axiom, % 242.40/242.46 ! [V_f_2,T_c,V_r_2,T_b] : % 242.40/242.46 ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equiv__def,axiom, % 242.40/242.46 ! [V_r_2,V_A_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.40/242.46 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.40/242.46 & c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equivI,axiom, % 242.40/242.46 ! [V_r_2,V_A_2,T_b] : % 242.40/242.46 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.40/242.46 => ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => ( c_Relation_Otrans(T_b,V_r_2) % 242.40/242.46 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equivE,axiom, % 242.40/242.46 ! [V_r_2,V_A_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 242.40/242.46 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 242.40/242.46 => ( c_Relation_Osym(T_b,V_r_2) % 242.40/242.46 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_symp__def,axiom, % 242.40/242.46 ! [V_r_2,T_b] : % 242.40/242.46 ( c_Predicate_Osymp(T_b,V_r_2) % 242.40/242.46 <=> 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivpI,axiom, % 242.40/242.46 ! [T_b,V_R_2] : % 242.40/242.46 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 242.40/242.46 => ( c_Predicate_Osymp(T_b,V_R_2) % 242.40/242.46 => ( c_Predicate_Otransp(T_b,V_R_2) % 242.40/242.46 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivp__refl__symp__transp,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 242.40/242.46 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 242.40/242.46 & c_Predicate_Osymp(T_b,V_R_2) % 242.40/242.46 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivp__transp,axiom, % 242.40/242.46 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivp__symp,axiom, % 242.40/242.46 ! [V_y_2,V_x_2,V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivp__def,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 242.40/242.46 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 242.40/242.46 & ! [B_x,B_y] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 242.40/242.46 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 242.40/242.46 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 242.40/242.46 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_equivp__implies__part__equivp,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.40/242.46 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivpE,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 242.40/242.46 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 242.40/242.46 => ( c_Predicate_Osymp(T_b,V_R_2) % 242.40/242.46 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_part__equivp__typedef,axiom, % 242.40/242.46 ! [V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 242.40/242.46 => ? [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))))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_fold__image__UN__disjoint,axiom, % 242.40/242.46 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 242.40/242.46 ( class_Groups_Ocomm__monoid__mult(T_d) % 242.40/242.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 242.40/242.46 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 242.40/242.46 => ! [B_xa] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 242.40/242.46 => ( B_x != B_xa % 242.40/242.46 => 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)) ) ) ) % 242.40/242.46 => 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) ) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_nat__of__cases,axiom, % 242.40/242.46 ! [V_y_2] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 242.40/242.46 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_nat__of__induct,axiom, % 242.40/242.46 ! [V_Pa_2,V_y_2] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 242.40/242.46 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_of__nat__cases,axiom, % 242.40/242.46 ! [V_x_2] : % 242.40/242.46 ~ ! [B_y] : % 242.40/242.46 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 242.40/242.46 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_of__nat__induct,axiom, % 242.40/242.46 ! [V_x_2,V_Pa_2] : % 242.40/242.46 ( ! [B_y] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_beyond__def,axiom, % 242.40/242.46 ! [V_l,V_k] : % 242.40/242.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 242.40/242.46 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 242.40/242.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 242.40/242.46 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_curry__def,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_curryI,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 242.40/242.46 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 242.40/242.46 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_curry__conv,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_curryE,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 242.40/242.46 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_curryD,axiom, % 242.40/242.46 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 242.40/242.46 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_curry__split,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_split__curry,axiom, % 242.40/242.46 ! [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 ). % 242.40/242.46 % 242.40/242.46 fof(fact_beyond__zero,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_refl__on__UNION,axiom, % 242.40/242.46 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 242.40/242.46 ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 242.40/242.46 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 242.40/242.46 => 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)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_bex__reg__eqv,axiom, % 242.40/242.46 ! [V_Pa_2,V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.40/242.46 => ( ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Respects__def,axiom, % 242.40/242.46 ! [V_x_2,V_R_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 242.40/242.46 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_in__respects,axiom, % 242.40/242.46 ! [V_R_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 242.40/242.46 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_bex__reg__right,axiom, % 242.40/242.46 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(V_Qa_2,B_x)) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 242.40/242.46 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1)) % 242.40/242.46 => ? [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 242.40/242.46 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_babs__reg__eqv,axiom, % 242.40/242.46 ! [V_Pa_2,T_c,V_R_2,T_b] : % 242.40/242.46 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 242.40/242.46 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_Babs__def,axiom, % 242.40/242.46 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 242.40/242.46 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_wf__weak__decr__stable,axiom, % 242.40/242.46 ! [V_r_2,V_f_2,T_b] : % 242.40/242.46 ( ! [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))) % 242.40/242.46 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 242.40/242.46 => ? [B_i] : % 242.40/242.46 ! [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) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_INT__anti__mono,axiom, % 242.40/242.46 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.40/242.46 => 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))) ) % 242.40/242.46 => 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))) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_INT__greatest,axiom, % 242.40/242.46 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 242.40/242.46 ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 242.40/242.46 => 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))) ) % 242.40/242.46 => 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))) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_rtrancl__induct2,axiom, % 242.40/242.46 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) % 242.40/242.46 => ( ! [B_a,B_b] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ! [B_aa,B_ba] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) ) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_converse__rtranclE2,axiom, % 242.40/242.46 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( 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) % 242.40/242.46 => ~ ! [B_a,B_b] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ~ 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))) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_converse__rtrancl__induct2,axiom, % 242.40/242.46 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 242.40/242.46 ( 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))) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) % 242.40/242.46 => ( ! [B_a,B_b,B_aa,B_ba] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ( 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))) % 242.40/242.46 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) ) % 242.40/242.46 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_congruent2I_H,axiom, % 242.40/242.46 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 242.40/242.46 ( ! [B_y1,B_z1] : % 242.40/242.46 ( 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)) % 242.40/242.46 => ! [B_y2,B_z2] : % 242.40/242.46 ( 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)) % 242.40/242.46 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 242.40/242.46 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_congruentI,axiom, % 242.40/242.46 ! [T_c,V_f_2,V_r_2,T_b] : % 242.40/242.46 ( ! [B_y,B_z] : % 242.40/242.46 ( 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)) % 242.40/242.46 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 242.40/242.46 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact__03,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_all__interval__nat__def,axiom, % 242.40/242.46 ! [V_j_2,V_i_2,V_Pa_2] : % 242.40/242.46 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) % 242.40/242.46 <=> ! [B_x] : % 242.40/242.46 ( 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))) % 242.40/242.46 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact__04,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__all__iff__all__interval__nat,axiom, % 242.40/242.46 ! [V_j_2,V_i_2,V_Pa_2] : % 242.40/242.46 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 242.40/242.46 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 242.40/242.46 ! [V_j_2,V_i_2,V_Pa_2] : % 242.40/242.46 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 242.40/242.46 <=> ~ 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) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact__05,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact_folding__image_Ocong,axiom, % 242.40/242.46 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 242.40/242.46 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 242.40/242.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 242.40/242.46 => ( ! [B_x] : % 242.40/242.46 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 242.40/242.46 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 242.40/242.46 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 242.40/242.46 % 242.40/242.46 fof(fact__06,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(fact__07,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 %----Arity declarations (218) % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 242.40/242.46 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Obounded__lattice(T_1) % 242.40/242.46 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 242.40/242.46 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Obounded__lattice(T_1) % 242.40/242.46 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Obounded__lattice(T_1) % 242.40/242.46 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Olattice(T_1) % 242.40/242.46 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Olattice(T_1) % 242.40/242.46 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Odistrib__lattice(T_1) % 242.40/242.46 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Oboolean__algebra(T_1) % 242.40/242.46 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Orderings_Opreorder,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Orderings_Opreorder(T_1) % 242.40/242.46 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Finite__Set_Ofinite,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Finite__Set_Ofinite(T_2) % 242.40/242.46 & class_Finite__Set_Ofinite(T_1) ) % 242.40/242.46 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Lattices_Olattice,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Lattices_Olattice(T_1) % 242.40/242.46 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Orderings_Oorder,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Orderings_Oorder(T_1) % 242.40/242.46 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Orderings_Otop,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Orderings_Otop(T_1) % 242.40/242.46 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Orderings_Oord,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Orderings_Oord(T_1) % 242.40/242.46 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Orderings_Obot,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Orderings_Obot(T_1) % 242.40/242.46 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Groups_Ouminus,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Groups_Ouminus(T_1) % 242.40/242.46 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Groups_Ominus,axiom, % 242.40/242.46 ! [T_2,T_1] : % 242.40/242.46 ( class_Groups_Ominus(T_1) % 242.40/242.46 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_fun__Enum_Oenum,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Enum_Oenum(T_2) % 242.40/242.46 & class_Enum_Oenum(T_1) ) % 242.40/242.46 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Com__Ocom__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_Com_Ocom) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 242.40/242.46 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 242.40/242.46 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 242.40/242.46 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 242.40/242.46 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 242.40/242.46 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 242.40/242.46 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 242.40/242.46 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 242.40/242.46 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 242.40/242.46 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 242.40/242.46 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 242.40/242.46 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 242.40/242.46 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 242.40/242.46 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 242.40/242.46 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 242.40/242.46 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 242.40/242.46 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 242.40/242.46 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 242.40/242.46 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 242.40/242.46 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 242.40/242.46 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 242.40/242.46 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 242.40/242.46 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 242.40/242.46 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 242.40/242.46 class_Divides_Osemiring__div(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 242.40/242.46 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 242.40/242.46 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 242.40/242.46 class_Groups_Oab__group__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 242.40/242.46 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 242.40/242.46 class_Rings_Oordered__ring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 242.40/242.46 class_Orderings_Opreorder(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 242.40/242.46 class_Orderings_Olinorder(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 242.40/242.46 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 242.40/242.46 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 242.40/242.46 class_Groups_Omonoid__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 242.40/242.46 class_Rings_Osemiring__1(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 242.40/242.46 class_Rings_Osemiring__0(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 242.40/242.46 class_Lattices_Olattice(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 242.40/242.46 class_Groups_Ogroup__add(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 242.40/242.46 class_Divides_Oring__div(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 242.40/242.46 class_Rings_Omult__zero(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 242.40/242.46 class_Orderings_Oorder(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 242.40/242.46 class_Int_Oring__char__0(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 242.40/242.46 class_Int_Onumber__ring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 242.40/242.46 class_Rings_Osemiring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Orderings_Oord,axiom, % 242.40/242.46 class_Orderings_Oord(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 242.40/242.46 class_Groups_Ouminus(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 242.40/242.46 class_Groups_Osgn__if(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 242.40/242.46 class_Groups_Oabs__if(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 242.40/242.46 class_Rings_Oring__1(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ominus,axiom, % 242.40/242.46 class_Groups_Ominus(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Power_Opower,axiom, % 242.40/242.46 class_Power_Opower(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Ozero,axiom, % 242.40/242.46 class_Groups_Ozero(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oring,axiom, % 242.40/242.46 class_Rings_Oring(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Rings_Oidom,axiom, % 242.40/242.46 class_Rings_Oidom(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Int_Onumber,axiom, % 242.40/242.46 class_Int_Onumber(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Int__Oint__Groups_Oone,axiom, % 242.40/242.46 class_Groups_Oone(tc_Int_Oint) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 242.40/242.46 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 242.40/242.46 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 242.40/242.46 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 242.40/242.46 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 242.40/242.46 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 242.40/242.46 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 242.40/242.46 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 242.40/242.46 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 242.40/242.46 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 242.40/242.46 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 242.40/242.46 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 242.40/242.46 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 242.40/242.46 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 242.40/242.46 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 242.40/242.46 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 242.40/242.46 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 242.40/242.46 class_Orderings_Owellorder(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 242.40/242.46 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 242.40/242.46 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 242.40/242.46 class_Orderings_Opreorder(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 242.40/242.46 class_Orderings_Olinorder(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 242.40/242.46 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 242.40/242.46 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 242.40/242.46 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 242.40/242.46 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 242.40/242.46 class_Lattices_Olattice(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 242.40/242.46 class_Rings_Omult__zero(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 242.40/242.46 class_Orderings_Oorder(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 242.40/242.46 class_Rings_Osemiring(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 242.40/242.46 class_Orderings_Oord(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 242.40/242.46 class_Orderings_Obot(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 242.40/242.46 class_Groups_Ominus(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Power_Opower,axiom, % 242.40/242.46 class_Power_Opower(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 242.40/242.46 class_Groups_Ozero(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Int_Onumber,axiom, % 242.40/242.46 class_Int_Onumber(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Groups_Oone,axiom, % 242.40/242.46 class_Groups_Oone(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nat__Onat__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_Nat_Onat) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 242.40/242.46 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 242.40/242.46 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 242.40/242.46 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 242.40/242.46 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 242.40/242.46 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 242.40/242.46 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 242.40/242.46 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 242.40/242.46 class_Orderings_Opreorder(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 242.40/242.46 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 242.40/242.46 class_Lattices_Olattice(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 242.40/242.46 class_Orderings_Oorder(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 242.40/242.46 class_Orderings_Otop(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 242.40/242.46 class_Orderings_Oord(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 242.40/242.46 class_Orderings_Obot(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 242.40/242.46 class_Groups_Ouminus(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 242.40/242.46 class_Groups_Ominus(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 242.40/242.46 class_Enum_Oenum(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_HOL__Obool__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_HOL_Obool) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Com__Ostate__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_Com_Ostate) ). % 242.40/242.46 % 242.40/242.46 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 242.40/242.46 ! [T_1] : % 242.40/242.46 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 242.40/242.46 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_List__Olist__Nat_Osize,axiom, % 242.40/242.46 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 242.40/242.46 % 242.40/242.46 fof(arity_sum__Finite__Set_Ofinite,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Finite__Set_Ofinite(T_2) % 242.40/242.46 & class_Finite__Set_Ofinite(T_1) ) % 242.40/242.46 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_sum__Enum_Oenum,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Enum_Oenum(T_2) % 242.40/242.46 & class_Enum_Oenum(T_1) ) % 242.40/242.46 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_sum__Nat_Osize,axiom, % 242.40/242.46 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 242.40/242.46 ! [T_1] : % 242.40/242.46 ( class_Finite__Set_Ofinite(T_1) % 242.40/242.46 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 242.40/242.46 ! [T_1] : % 242.40/242.46 ( class_Enum_Oenum(T_1) % 242.40/242.46 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Option__Ooption__Nat_Osize,axiom, % 242.40/242.46 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 242.40/242.46 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 242.40/242.46 % 242.40/242.46 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 242.40/242.46 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 242.40/242.46 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_prod__Finite__Set_Ofinite,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Finite__Set_Ofinite(T_2) % 242.40/242.46 & class_Finite__Set_Ofinite(T_1) ) % 242.40/242.46 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_prod__Enum_Oenum,axiom, % 242.40/242.46 ! [T_1,T_2] : % 242.40/242.46 ( ( class_Enum_Oenum(T_2) % 242.40/242.46 & class_Enum_Oenum(T_1) ) % 242.40/242.46 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 242.40/242.46 % 242.40/242.46 fof(arity_prod__Nat_Osize,axiom, % 242.40/242.46 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 242.40/242.46 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 242.40/242.46 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 242.40/242.46 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_Product__Type_Ounit) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 242.40/242.46 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 242.40/242.46 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 242.40/242.46 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 242.40/242.46 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 242.40/242.46 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 242.40/242.46 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 242.40/242.46 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 242.40/242.46 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 242.40/242.46 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 242.40/242.46 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 242.40/242.46 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 242.40/242.46 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 242.40/242.46 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 242.40/242.46 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 242.40/242.46 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 242.40/242.46 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 242.40/242.46 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 242.40/242.46 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 242.40/242.46 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 242.40/242.46 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 242.40/242.46 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 242.40/242.46 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 242.40/242.46 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 242.40/242.46 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 242.40/242.46 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 242.40/242.46 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 242.40/242.46 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 242.40/242.46 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 242.40/242.46 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 242.40/242.46 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 242.40/242.46 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 242.40/242.46 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 242.40/242.46 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 242.40/242.46 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 242.40/242.46 % 242.40/242.46 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 242.40/242.46 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 242.40/242.46 % 242.40/242.46 %----Helper facts (20) % 242.40/242.46 fof(help_c__COMBI__1,axiom, % 242.40/242.46 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 242.40/242.46 % 242.40/242.46 fof(help_c__COMBK__1,axiom, % 242.40/242.46 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 242.40/242.46 % 242.40/242.46 fof(help_c__COMBB__1,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__COMBC__1,axiom, % 242.40/242.46 ! [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) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__COMBS__1,axiom, % 242.40/242.46 ! [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)) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fequal__1,axiom, % 242.40/242.46 ! [V_y_2,V_x_2] : % 242.40/242.46 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 242.40/242.46 | V_x_2 = V_y_2 ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fequal__2,axiom, % 242.40/242.46 ! [V_y_2,V_x_2] : % 242.40/242.46 ( V_x_2 != V_y_2 % 242.40/242.46 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fFalse__1,axiom, % 242.40/242.46 ~ hBOOL(c_fFalse) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fTrue__1,axiom, % 242.40/242.46 hBOOL(c_fTrue) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fNot__1,axiom, % 242.40/242.46 ! [V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 242.40/242.46 | ~ hBOOL(V_Pa_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fNot__2,axiom, % 242.40/242.46 ! [V_Pa_2] : % 242.40/242.46 ( ~ ~ hBOOL(V_Pa_2) % 242.40/242.46 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fconj__1,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(V_Pa_2) % 242.40/242.46 | ~ hBOOL(V_Qa_2) % 242.40/242.46 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fconj__2,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 242.40/242.46 | hBOOL(V_Pa_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fconj__3,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) % 242.40/242.46 | hBOOL(V_Qa_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fdisj__1,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(V_Pa_2) % 242.40/242.46 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fdisj__2,axiom, % 242.40/242.46 ! [V_Pa_2,V_Qa_2] : % 242.40/242.46 ( ~ hBOOL(V_Qa_2) % 242.40/242.46 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fdisj__3,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) % 242.40/242.46 | hBOOL(V_Pa_2) % 242.40/242.46 | hBOOL(V_Qa_2) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fimplies__1,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( hBOOL(V_Pa_2) % 242.40/242.46 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fimplies__2,axiom, % 242.40/242.46 ! [V_Pa_2,V_Qa_2] : % 242.40/242.46 ( ~ hBOOL(V_Qa_2) % 242.40/242.46 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ). % 242.40/242.46 % 242.40/242.46 fof(help_c__fimplies__3,axiom, % 242.40/242.46 ! [V_Qa_2,V_Pa_2] : % 242.40/242.46 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) % 242.40/242.46 | ~ hBOOL(V_Pa_2) % 242.40/242.46 | hBOOL(V_Qa_2) ) ). % 242.40/242.46 % 242.40/242.46 %----Conjectures (2) % 242.40/242.46 fof(conj_0,hypothesis, % 242.40/242.46 c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ). % 242.40/242.46 % 242.40/242.46 fof(conj_1,conjecture, % 242.40/242.46 c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))) ). % 242.40/242.46 % 242.40/242.46 %------------------------------------------------------------------------------ % 242.40/242.46 %------------------------------------------- % 242.40/242.46 % Proof found % 242.40/242.46 % SZS status Theorem for theBenchmark % 242.40/242.46 % SZS output start Proof % 242.40/242.46 %ClaNum:10526(EqnAxiom:3152) % 242.40/242.46 %VarNum:71123(SingletonVarNum:20652) % 242.40/242.46 %MaxLitNum:8 % 242.40/242.46 %MaxfuncDepth:13 % 242.40/242.46 %SharedTerms:1031 % 242.40/242.46 %goalClause: 4803 % 242.40/242.46 %singleGoalClaCount:1 % 242.40/242.46 [3156]P1(a190) % 242.40/242.46 [3157]P2(a925) % 242.40/242.46 [3158]P2(a930) % 242.40/242.46 [3159]P2(a1) % 242.40/242.46 [3160]P104(a925) % 242.40/242.46 [3161]P104(a930) % 242.40/242.46 [3162]P105(a925) % 242.40/242.46 [3163]P105(a930) % 242.40/242.46 [3164]P105(a1) % 242.40/242.46 [3165]P3(a925) % 242.40/242.46 [3166]P4(a925) % 242.40/242.46 [3167]P4(a930) % 242.40/242.46 [3168]P4(a1) % 242.40/242.46 [3169]P4(a102) % 242.40/242.46 [3170]P110(a925) % 242.40/242.46 [3171]P110(a930) % 242.40/242.46 [3172]P110(a1) % 242.40/242.46 [3173]P110(a102) % 242.40/242.46 [3174]P111(a925) % 242.40/242.46 [3175]P111(a930) % 242.40/242.46 [3176]P111(a1) % 242.40/242.46 [3177]P111(a102) % 242.40/242.46 [3178]P112(a930) % 242.40/242.46 [3179]P112(a1) % 242.40/242.46 [3180]P112(a102) % 242.40/242.46 [3181]P113(a925) % 242.40/242.46 [3182]P113(a930) % 242.40/242.46 [3183]P113(a1) % 242.40/242.46 [3184]P113(a102) % 242.40/242.46 [3185]P83(a1) % 242.40/242.46 [3186]P87(a930) % 242.40/242.46 [3187]P87(a1) % 242.40/242.46 [3188]P87(a102) % 242.40/242.46 [3189]P106(a925) % 242.40/242.46 [3190]P106(a930) % 242.40/242.46 [3191]P106(a1) % 242.40/242.46 [3192]P102(a925) % 242.40/242.46 [3193]P114(a925) % 242.40/242.46 [3194]P5(a1) % 242.40/242.46 [3195]P6(a1) % 242.40/242.46 [3196]P103(a925) % 242.40/242.46 [3197]P103(a930) % 242.40/242.46 [3198]P103(a1) % 242.40/242.46 [3199]P96(a925) % 242.40/242.46 [3200]P88(a925) % 242.40/242.46 [3201]P88(a1) % 242.40/242.46 [3202]P81(a1) % 242.40/242.46 [3203]P115(a1) % 242.40/242.46 [3204]P74(a930) % 242.40/242.46 [3205]P74(a1) % 242.40/242.46 [3206]P74(a102) % 242.40/242.46 [3207]P126(a1) % 242.40/242.46 [3208]P7(a925) % 242.40/242.46 [3209]P7(a933) % 242.40/242.46 [3210]P89(a930) % 242.40/242.46 [3211]P89(a1) % 242.40/242.46 [3212]P89(a102) % 242.40/242.46 [3213]P90(a930) % 242.40/242.46 [3214]P90(a1) % 242.40/242.46 [3215]P90(a102) % 242.40/242.46 [3216]P92(a930) % 242.40/242.46 [3217]P92(a1) % 242.40/242.46 [3218]P92(a102) % 242.40/242.46 [3219]P84(a930) % 242.40/242.46 [3220]P84(a1) % 242.40/242.46 [3221]P84(a102) % 242.40/242.46 [3222]P75(a930) % 242.40/242.46 [3223]P75(a1) % 242.40/242.46 [3224]P75(a102) % 242.40/242.46 [3225]P76(a930) % 242.40/242.46 [3226]P76(a1) % 242.40/242.46 [3227]P76(a102) % 242.40/242.46 [3228]P77(a930) % 242.40/242.46 [3229]P77(a1) % 242.40/242.46 [3230]P77(a102) % 242.40/242.46 [3231]P127(a930) % 242.40/242.46 [3232]P127(a1) % 242.40/242.46 [3233]P127(a102) % 242.40/242.46 [3234]P93(a930) % 242.40/242.46 [3235]P93(a1) % 242.40/242.46 [3236]P93(a102) % 242.40/242.46 [3237]P85(a930) % 242.40/242.46 [3238]P85(a1) % 242.40/242.46 [3239]P85(a102) % 242.40/242.46 [3240]P141(a930) % 242.40/242.46 [3241]P141(a1) % 242.40/242.46 [3242]P141(a102) % 242.40/242.46 [3243]P116(a1) % 242.40/242.46 [3244]P82(a930) % 242.40/242.46 [3245]P82(a1) % 242.40/242.46 [3246]P82(a102) % 242.40/242.46 [3247]P119(a930) % 242.40/242.46 [3248]P119(a1) % 242.40/242.46 [3249]P119(a102) % 242.40/242.46 [3250]P148(a930) % 242.40/242.46 [3251]P148(a1) % 242.40/242.46 [3252]P94(a1) % 242.40/242.46 [3253]P142(a1) % 242.40/242.46 [3254]P97(a1) % 242.40/242.46 [3255]P80(a930) % 242.40/242.46 [3256]P80(a1) % 242.40/242.46 [3257]P80(a102) % 242.40/242.46 [3258]P78(a930) % 242.40/242.46 [3259]P78(a1) % 242.40/242.46 [3260]P78(a102) % 242.40/242.46 [3261]P130(a930) % 242.40/242.46 [3262]P130(a1) % 242.40/242.46 [3263]P130(a102) % 242.40/242.46 [3264]P143(a1) % 242.40/242.46 [3265]P135(a930) % 242.40/242.46 [3266]P135(a1) % 242.40/242.46 [3267]P135(a102) % 242.40/242.46 [3268]P120(a930) % 242.40/242.46 [3269]P120(a1) % 242.40/242.46 [3270]P120(a102) % 242.40/242.46 [3271]P145(a930) % 242.40/242.46 [3272]P145(a1) % 242.40/242.46 [3273]P145(a102) % 242.40/242.46 [3274]P86(a930) % 242.40/242.46 [3275]P86(a1) % 242.40/242.46 [3276]P86(a102) % 242.40/242.46 [3277]P121(a1) % 242.40/242.46 [3278]P146(a930) % 242.40/242.46 [3279]P146(a1) % 242.40/242.46 [3280]P146(a102) % 242.40/242.46 [3281]P128(a1) % 242.40/242.46 [3282]P129(a1) % 242.40/242.46 [3283]P136(a930) % 242.40/242.46 [3284]P136(a1) % 242.40/242.46 [3285]P136(a102) % 242.40/242.46 [3286]P137(a1) % 242.40/242.46 [3287]P139(a930) % 242.40/242.46 [3288]P139(a1) % 242.40/242.46 [3289]P139(a102) % 242.40/242.46 [3290]P138(a930) % 242.40/242.46 [3291]P138(a1) % 242.40/242.46 [3292]P138(a102) % 242.40/242.46 [3293]P124(a930) % 242.40/242.46 [3294]P124(a1) % 242.40/242.46 [3295]P124(a102) % 242.40/242.46 [3296]P131(a930) % 242.40/242.46 [3297]P131(a1) % 242.40/242.46 [3298]P131(a102) % 242.40/242.46 [3299]P144(a1) % 242.40/242.46 [3300]P132(a930) % 242.40/242.46 [3301]P132(a1) % 242.40/242.46 [3302]P132(a102) % 242.40/242.46 [3303]P133(a1) % 242.40/242.46 [3304]P134(a1) % 242.40/242.46 [3305]P107(a930) % 242.40/242.46 [3306]P107(a1) % 242.40/242.46 [3307]P107(a102) % 242.40/242.46 [3308]P147(a930) % 242.40/242.46 [3309]P147(a1) % 242.40/242.46 [3310]P147(a102) % 242.40/242.46 [3311]P91(a1) % 242.40/242.46 [3312]P140(a1) % 242.40/242.46 [3313]P79(a1) % 242.40/242.46 [3314]P8(a925) % 242.40/242.46 [3315]P117(a930) % 242.40/242.46 [3316]P117(a1) % 242.40/242.46 [3317]P117(a102) % 242.40/242.46 [3318]P67(a930) % 242.40/242.46 [3319]P67(a1) % 242.40/242.46 [3320]P67(a102) % 242.40/242.46 [3321]P68(a1) % 242.40/242.46 [3322]P98(a1) % 242.40/242.46 [3323]P99(a930) % 242.40/242.46 [3324]P99(a1) % 242.40/242.46 [3325]P99(a102) % 242.40/242.46 [3326]P118(a930) % 242.40/242.46 [3327]P95(a930) % 242.40/242.46 [3328]P95(a1) % 242.40/242.46 [3329]P95(a102) % 242.40/242.46 [3330]P69(a925) % 242.40/242.46 [3331]P69(a933) % 242.40/242.46 [3332]P109(a925) % 242.40/242.46 [3333]P109(a926) % 242.40/242.46 [3334]P109(a927) % 242.40/242.46 [3335]P109(a930) % 242.40/242.46 [3336]P109(a933) % 242.40/242.46 [3337]P109(a102) % 242.40/242.46 [3338]P109(a326) % 242.40/242.46 [3339]P108(a933) % 242.40/242.46 [3340]P108(a1) % 242.40/242.46 [3341]P101(a925) % 242.40/242.46 [3357]P42(a930,a244) % 242.40/242.46 [3358]P42(a930,a320) % 242.40/242.46 [3359]P43(a930,a244) % 242.40/242.46 [4704]~E(a100,a85) % 242.40/242.46 [4705]~P1(a243) % 242.40/242.46 [3153]E(f2(a1),a85) % 242.40/242.46 [3154]E(f103(a102),a3) % 242.40/242.46 [3155]E(f23(a102),a24) % 242.40/242.46 [3342]E(f191(a930),f2(a930)) % 242.40/242.46 [3343]E(f30(a25),f2(a930)) % 242.40/242.46 [3344]E(f104(a930),f237(a930)) % 242.40/242.46 [3345]E(f113(a930),f238(a930)) % 242.40/242.46 [3346]E(f105(a1),f33(a1)) % 242.40/242.46 [3347]E(f86(a243),f2(a930)) % 242.40/242.46 [3348]E(f86(a190),f2(a930)) % 242.40/242.46 [3349]P9(f2(a1)) % 242.40/242.46 [3350]P9(f80(a1)) % 242.40/242.46 [3407]P42(f936(a930,a930),a34) % 242.40/242.46 [3753]E(f323(a930,a930,a244,a244),a34) % 242.40/242.46 [4706]~E(f80(a1),f2(a1)) % 242.40/242.46 [3351]E(f4(f2(a102)),f2(a930)) % 242.40/242.46 [3352]E(f114(f2(a930)),f2(a930)) % 242.40/242.46 [3361]E(f330(f81(a1),a85),a85) % 242.40/242.46 [3365]E(f330(a3,f2(a930)),f2(a102)) % 242.40/242.46 [3366]E(f330(a115,f2(a930)),f80(a930)) % 242.40/242.46 [3367]E(f330(a107,f80(a1)),f80(a930)) % 242.40/242.46 [3368]E(f330(a3,f80(a930)),f80(a102)) % 242.40/242.46 [3370]E(f330(f106(a1),a85),f2(a1)) % 242.40/242.46 [3371]E(f330(f106(a102),a85),f2(a102)) % 242.40/242.46 [3372]E(f330(a107,f2(a1)),f2(a930)) % 242.40/242.46 [3373]E(f330(f192(a925),a243),f2(a930)) % 242.40/242.46 [3374]E(f330(f192(a925),a190),f2(a930)) % 242.40/242.46 [3375]E(f330(f192(a927),a25),f2(a930)) % 242.40/242.46 [3376]E(f330(f106(a930),a85),f2(a930)) % 242.40/242.46 [3382]E(f330(f81(a1),f80(a1)),a100) % 242.40/242.46 [3390]E(f330(f192(a102),f2(a102)),f2(a930)) % 242.40/242.46 [3391]E(f330(f81(a1),f2(a1)),f2(a1)) % 242.40/242.46 [3392]E(f330(f103(a1),f2(a930)),f2(a1)) % 242.40/242.46 [3393]E(f330(f103(a1),f80(a930)),f80(a1)) % 242.40/242.46 [3404]E(f330(a107,f80(a1)),f330(a115,f2(a930))) % 242.40/242.46 [3405]E(f321(f936(a930,a930),a34),a35) % 242.40/242.46 [3406]E(f322(f936(a930,a930),a34),a36) % 242.40/242.46 [3434]E(f330(f286(a930),f2(a930)),f191(f937(a930,a925))) % 242.40/242.46 [3435]E(f330(f287(a930),f2(a930)),f246(f937(a930,a925))) % 242.40/242.46 [3443]P45(f191(f937(a1,a925))) % 242.40/242.46 [3477]E(f330(f330(f23(a102),f2(a102)),f80(a102)),f2(a102)) % 242.40/242.46 [3553]P1(f330(f330(f240(a1),a100),f2(a1))) % 242.40/242.46 [3578]P1(f330(f330(f239(a1),f2(a1)),f80(a1))) % 242.40/242.46 [3579]P1(f330(f330(f240(a1),f2(a1)),f80(a1))) % 242.40/242.46 [3786]E(f330(f330(f292(a930,a930,a930),a320),f310(a930,a320)),a244) % 242.40/242.46 [3825]P47(a1,a930,a107,f330(f239(a1),f2(a1))) % 242.40/242.46 [3829]E(f330(f330(f41(a930,f937(a930,a925)),f246(f937(a930,a925))),f286(a930)),f246(f937(a930,a925))) % 242.40/242.46 [3830]E(f330(f330(f41(a930,f937(a930,a925)),f246(f937(a930,a925))),f304(a930)),f246(f937(a930,a925))) % 242.40/242.46 [3831]E(f330(f330(f41(a930,f937(a930,a925)),f246(f937(a930,a925))),f287(a930)),f246(f937(a930,a925))) % 242.40/242.46 [3832]E(f330(f330(f42(a930,f937(a930,a925)),f246(f937(a930,a925))),f307(a930)),f191(f937(a930,a925))) % 242.40/242.46 [3848]P28(a930,a1,f103(a1),f246(f937(a930,a925))) % 242.40/242.46 [3862]P47(a930,a1,f103(a1),f330(f16(a925,a930),a190)) % 242.40/242.46 [3999]E(f330(f74(a930,a102,a1,a3),a107),f106(a102)) % 242.40/242.46 [4222]P63(a102,a930,a20,a3,f246(f937(a930,a925))) % 242.40/242.46 [4229]P63(a1,f937(f936(a930,a930),a925),a110,a91,a101) % 242.40/242.46 [4484]E(f262(a1,a1,a1,a1,f33(a1),f81(a1)),a53) % 242.40/242.46 [4727]~E(f330(f106(a1),a100),f330(f106(a1),a85)) % 242.40/242.46 [4728]~P1(f330(a196,f2(a1))) % 242.40/242.46 [4729]~P1(f330(a196,f80(a1))) % 242.40/242.46 [4770]~P1(f330(f330(f240(a1),a85),f2(a1))) % 242.40/242.46 [3425]E(f330(f330(f23(a1),a100),a100),a85) % 242.40/242.46 [3441]E(f330(f103(a1),f330(a115,f2(a930))),f80(a1)) % 242.40/242.46 [3506]E(f330(f37(a933),f246(f937(a933,a925))),f80(a930)) % 242.40/242.46 [3526]P1(f330(a196,f330(f106(a1),a100))) % 242.40/242.46 [3528]P1(f330(f330(f239(a1),a100),a85)) % 242.40/242.46 [3530]P1(f330(f330(f240(a1),a100),a85)) % 242.40/242.46 [3588]E(f330(f330(f312(a930),f2(a930)),f191(f937(a930,a925))),f330(f304(a930),f2(a930))) % 242.40/242.46 [3643]P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),a85))) % 242.40/242.46 [3655]E(f330(f313(a930,a930,a115),f246(f937(a930,a925))),f330(f307(a930),f2(a930))) % 242.40/242.46 [3692]P11(f936(a930,a930),f246(f937(f936(a930,a930),a925)),a111) % 242.40/242.46 [4006]E(f330(f74(a930,a1,a102,f103(a1)),a20),a22) % 242.40/242.46 [4067]P42(a930,f330(f266(f936(a930,a930)),f330(f261(a930,a930,a925),f240(a930)))) % 242.40/242.46 [4761]~P1(f330(a196,f330(f106(a1),a85))) % 242.40/242.46 [4762]~P1(f330(f330(f239(a1),a85),a100)) % 242.40/242.46 [4763]~P1(f330(f330(f240(a1),a85),a85)) % 242.40/242.46 [4764]~P1(f330(f330(f240(a1),a85),a100)) % 242.40/242.46 [4765]~P1(f330(f330(f240(a1),a100),a100)) % 242.40/242.46 [4776]~P1(f330(f63(a930),f246(f937(a930,a925)))) % 242.40/242.46 [4777]~P1(f330(f63(a1),f246(f937(a1,a925)))) % 242.40/242.46 [4650]E(f330(f261(a1,a1,a925),f330(f330(f8(f937(a1,a925),f937(a1,a925),a1),f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f240(a1),f2(a1))))),f330(f330(f7(a1,a1,f937(a1,a925)),f330(f330(f8(f937(a1,f937(a1,a925)),f937(a1,f937(a1,a925)),a1),f7(a1,a1,a925)),f330(f330(f8(f937(a1,a1),f937(a1,f937(a1,a925)),a1),f330(f8(a1,f937(a1,a925),a1),a327)),a221))),f80(a1)))),a217) % 242.40/242.46 [3728]E(f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100),f330(f81(a1),a100)) % 242.40/242.46 [3768]E(f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100),f330(f330(f23(a1),a85),a100)) % 242.40/242.46 [3932]E(f330(f330(f62(f936(a930,a930)),f246(f937(f936(a930,a930),a925))),a111),a101) % 242.40/242.46 [4438]P27(a924,f330(f330(f312(f929(a924)),f330(f330(f330(f93(a924),a939),f330(a26,a941)),a942)),a940),f330(f330(f312(f929(a924)),f330(f330(f330(f93(a924),a939),f330(f236(a927),f330(a27,a941))),a942)),f191(f937(f929(a924),a925)))) % 242.40/242.46 [4803]~P27(a924,f330(f330(f113(f937(f929(a924),a925)),a940),f330(f313(a928,f929(a924),f330(f330(f7(a928,f937(a924,f937(a926,a925)),f929(a924)),f330(f330(f8(a927,f937(f937(a924,f937(a926,a925)),f929(a924)),a928),f330(f93(a924),a939)),a26)),a942)),f330(f330(f312(a928),a941),f191(f937(a928,a925))))),f330(f313(a928,f929(a924),f330(f330(f7(a928,f937(a924,f937(a926,a925)),f929(a924)),f330(f330(f8(a927,f937(f937(a924,f937(a926,a925)),f929(a924)),a928),f330(f93(a924),a939)),f330(f330(f8(f934(a927),a927,a928),f236(a927)),a27))),a942)),f330(f330(f312(a928),a941),f191(f937(a928,a925))))) % 242.40/242.46 [3961]E(f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(a1)) % 242.40/242.46 [3962]E(f330(f106(a102),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(a102)) % 242.40/242.46 [3963]E(f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(a930)) % 242.40/242.46 [3967]E(f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(a115,f2(a930))) % 242.40/242.46 [4351]E(f330(f330(f113(f937(f936(f936(a930,a930),f936(a930,a930)),a925)),a34),f310(f936(a930,a930),f191(f937(f936(f936(a930,a930),f936(a930,a930)),a925)))),a72) % 242.40/242.46 [4417]E(f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),f2(a930)),f2(a930))),f191(f937(f936(a930,a930),a925))))),f2(a1)) % 242.40/242.46 [4418]E(f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),f80(a930)),f2(a930))),f191(f937(f936(a930,a930),a925))))),f80(a1)) % 242.40/242.46 [4431]E(f330(f266(f936(a930,a930)),f330(f261(a930,a930,a925),f330(f330(f8(a930,f937(a930,a925),a930),f330(f7(a930,a930,a925),a327)),a115))),a320) % 242.40/242.46 [4403]E(f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),f330(a115,f330(a115,f2(a930)))) % 242.40/242.46 [4406]E(f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),f330(f330(f82(a930),f80(a930)),f80(a930))) % 242.40/242.46 [4407]E(f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),f330(f37(a925),f246(f937(a925,a925)))) % 242.40/242.46 [4471]P9(f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 242.40/242.46 [4540]P30(f937(f936(a930,a930),a925),f330(f330(f256(f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925),f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925)),a35),a73)) % 242.40/242.46 [4541]P30(f937(f936(a930,a930),a925),f330(f330(f256(f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925),f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925)),a36),a71)) % 242.40/242.46 [4581]E(f330(f330(f113(f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925)),f322(f936(a930,a930),a72)),f330(f330(f312(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),f191(f937(f936(a930,a930),a925))),f191(f937(f936(a930,a930),a925)))),f191(f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925)))),a71) % 242.40/242.46 [4582]E(f330(f330(f113(f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925)),f321(f936(a930,a930),a72)),f330(f330(f312(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),f191(f937(f936(a930,a930),a925))),f191(f937(f936(a930,a930),a925)))),f191(f937(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a925)))),a73) % 242.40/242.46 [4473]E(f330(a107,f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a115,f330(a115,f2(a930)))) % 242.40/242.46 [4518]E(f330(f103(a1),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 242.40/242.46 [4551]P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.46 [4552]E(f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100)),f330(a115,f330(a115,f330(a115,f2(a930))))) % 242.40/242.46 [4596]P9(f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))) % 242.40/242.46 [4622]E(f330(f103(a1),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))) % 242.40/242.46 [4635]P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100)))) % 242.40/242.46 [3360]P10(x33601,a327) % 242.40/242.46 [3754]P28(a930,a930,a115,x37541) % 242.40/242.46 [3353]P109(f929(x33531)) % 242.40/242.46 [3354]P109(f934(x33541)) % 242.40/242.46 [3355]P109(f931(x33551)) % 242.40/242.46 [3356]P109(f932(x33561)) % 242.40/242.46 [3377]P42(a1,f108(x33771)) % 242.40/242.46 [3378]P42(a1,f109(x33781)) % 242.40/242.46 [3430]P42(f937(x34301,a925),f317(x34301)) % 242.40/242.46 [3431]P43(f937(x34311,a925),f317(x34311)) % 242.40/242.46 [3455]E(f247(x34551,x34551,a327),a327) % 242.40/242.46 [3470]E(f47(a1,x34701,x34701),f2(a1)) % 242.40/242.46 [3523]P17(x35231,f937(x35231,a925),f312(x35231)) % 242.40/242.46 [4708]~E(f330(a26,x47081),a25) % 242.40/242.46 [4710]~E(f330(a115,x47101),x47101) % 242.40/242.46 [4720]~E(f330(a115,x47201),f2(a930)) % 242.40/242.46 [3362]E(f330(f192(a930),x33621),x33621) % 242.40/242.46 [3363]E(f330(f106(a1),x33631),x33631) % 242.40/242.46 [3379]E(f330(a91,f331(x33791)),x33791) % 242.40/242.46 [3380]E(f330(a3,f564(x33801)),x33801) % 242.40/242.46 [3381]E(f245(x33811,f2(a102)),f2(a102)) % 242.40/242.46 [3394]E(f117(x33941,f116(x33941)),f116(x33941)) % 242.40/242.46 [3395]E(f155(x33951,f116(x33951)),f116(x33951)) % 242.40/242.46 [3397]E(f30(f330(a26,x33971)),f2(a930)) % 242.40/242.46 [3401]E(f330(f170(x34011),f116(x34011)),f116(x34011)) % 242.40/242.46 [3402]E(f330(f174(x34021),f116(x34021)),f116(x34021)) % 242.40/242.46 [3403]E(f330(f171(x34031),f116(x34031)),f116(x34031)) % 242.40/242.46 [3408]E(f330(f106(a1),x34081),f330(f105(a1),x34081)) % 242.40/242.46 [3409]E(f330(a91,f330(a110,x34091)),x34091) % 242.40/242.46 [3411]E(f330(a3,f330(a20,x34111)),x34111) % 242.40/242.46 [3412]E(f330(a20,f330(a3,x34121)),x34121) % 242.40/242.46 [3414]P9(f330(f103(a1),x34141)) % 242.40/242.46 [3423]E(f330(f192(f931(x34231)),f116(x34231)),f2(a930)) % 242.40/242.46 [3424]E(f330(f192(f932(x34241)),f122(x34241)),f2(a930)) % 242.40/242.46 [3429]E(f330(f192(a927),f330(a26,x34291)),f2(a930)) % 242.40/242.46 [3446]E(f330(f330(f23(a930),x34461),f2(a930)),x34461) % 242.40/242.46 [3447]E(f330(f330(f82(a930),x34471),f2(a930)),x34471) % 242.40/242.46 [3448]E(f330(f330(f82(a1),x34481),f2(a1)),x34481) % 242.40/242.46 [3449]E(f330(f330(f238(a930),x34491),f2(a930)),x34491) % 242.40/242.46 [3450]E(f330(f330(f83(a930),x34501),f80(a930)),x34501) % 242.40/242.46 [3451]E(f330(f330(f83(a1),x34511),f80(a1)),x34511) % 242.40/242.46 [3452]E(f330(f330(f237(a930),x34521),f2(a930)),f2(a930)) % 242.40/242.46 [3453]E(f330(f330(f83(a930),x34531),f2(a930)),f2(a930)) % 242.40/242.46 [3454]E(f330(f330(f38(a1),x34541),f2(a1)),f2(a1)) % 242.40/242.46 [3461]E(f330(f175(x34611),f116(x34611)),f191(f937(x34611,a925))) % 242.40/242.46 [3465]P1(f330(f140(x34651),f116(x34651))) % 242.40/242.46 [3471]E(f330(f157(x34711,x34711),f5(x34711)),f33(f931(x34711))) % 242.40/242.46 [3472]E(f330(f157(x34721,x34721),f33(x34721)),f33(f931(x34721))) % 242.40/242.46 [3473]E(f47(a1,x34731,f2(a1)),x34731) % 242.40/242.46 [3474]E(f330(f239(a930),f330(a115,x34741)),f330(f240(a930),x34741)) % 242.40/242.46 [3475]E(f330(f286(a930),f330(a115,x34751)),f330(f304(a930),x34751)) % 242.40/242.46 [3476]E(f330(f287(a930),f330(a115,x34761)),f330(f307(a930),x34761)) % 242.40/242.46 [3478]E(f47(a1,f2(a1),x34781),f2(a1)) % 242.40/242.46 [3491]E(f330(f330(f82(a930),x34911),f80(a930)),f330(a115,x34911)) % 242.40/242.46 [3500]E(f330(f305(a930,x35001),f2(a930)),f191(f937(a930,a925))) % 242.40/242.46 [3512]E(f306(a930,f2(a930),x35121),f330(f304(a930),x35121)) % 242.40/242.46 [3556]E(f330(f330(f23(a930),f330(a115,x35561)),f80(a930)),x35561) % 242.40/242.46 [3568]E(f49(f2(a1),x35681),f330(f330(f256(a1,a1),f2(a1)),f2(a1))) % 242.40/242.46 [3618]P1(f330(f330(f240(a930),x36181),f330(a115,x36181))) % 242.40/242.46 [3630]P1(f330(f330(f240(a930),f2(a930)),f330(a115,x36301))) % 242.40/242.46 [3861]E(f94(x38611,x38611,f246(f937(x38611,a925)),f33(x38611)),f33(x38611)) % 242.40/242.46 [3918]E(f330(f330(f23(a102),f330(a3,f330(a115,f330(a20,x39181)))),f80(a102)),x39181) % 242.40/242.46 [3990]P1(f330(f330(f239(a1),f330(f81(a1),f330(f103(a1),x39901))),f2(a1))) % 242.40/242.46 [4137]P1(f330(f330(f240(a1),f330(f81(a1),f330(f103(a1),f330(a115,x41371)))),f2(a1))) % 242.40/242.46 [4734]~E(f246(f937(x47341,a925)),f191(f937(x47341,a925))) % 242.40/242.46 [4773]~P1(f330(f330(f240(a930),x47731),f2(a930))) % 242.40/242.46 [4786]~P1(f330(f330(f240(a1),f330(f103(a1),x47861)),f2(a1))) % 242.40/242.46 [3413]E(f123(x34131,f122(f932(x34131))),f122(x34131)) % 242.40/242.46 [3428]E(f182(x34281,f116(f931(x34281))),f116(f931(x34281))) % 242.40/242.46 [3432]E(f330(f330(f83(a1),a85),x34321),a85) % 242.40/242.46 [3433]E(f330(f330(f82(a1),a85),x34331),x34331) % 242.40/242.46 [3436]E(f330(a107,f330(f103(a1),x34361)),x34361) % 242.40/242.46 [3437]E(f330(f330(f23(a1),x34371),a85),x34371) % 242.40/242.46 [3438]E(f330(f330(f82(a1),x34381),a85),x34381) % 242.40/242.46 [3440]E(f330(f330(f23(a930),x34401),x34401),f2(a930)) % 242.40/242.46 [3444]E(f330(f81(a1),f330(f81(a1),x34441)),x34441) % 242.40/242.46 [3445]E(f330(f37(a930),f330(f286(a930),x34451)),x34451) % 242.40/242.46 [3456]E(f330(f330(f82(a930),f2(a930)),x34561),x34561) % 242.40/242.46 [3457]E(f330(f330(f82(a1),f2(a1)),x34571),x34571) % 242.40/242.46 [3458]E(f330(f330(f238(a930),f2(a930)),x34581),x34581) % 242.40/242.46 [3459]E(f330(f330(f83(a930),f80(a930)),x34591),x34591) % 242.40/242.46 [3460]E(f330(f330(f83(a1),f80(a1)),x34601),x34601) % 242.40/242.46 [3466]E(f330(f330(f23(a930),f2(a930)),x34661),f2(a930)) % 242.40/242.46 [3467]E(f330(f330(f237(a930),f2(a930)),x34671),f2(a930)) % 242.40/242.46 [3468]E(f330(f330(f83(a930),f2(a930)),x34681),f2(a930)) % 242.40/242.46 [3469]E(f330(f330(f38(a1),f2(a1)),x34691),f2(a1)) % 242.40/242.46 [3479]E(f131(x34791,f330(f81(a1),x34791)),f135(a1,x34791)) % 242.40/242.46 [3484]E(f330(f305(a930,f2(a930)),x34841),f330(f286(a930),x34841)) % 242.40/242.46 [3485]E(f330(f330(f83(a1),a100),x34851),f330(f81(a1),x34851)) % 242.40/242.46 [3493]E(f330(a107,f330(f106(a1),x34931)),f330(f106(a930),x34931)) % 242.40/242.46 [3494]E(f330(a20,f330(f106(a102),x34941)),f330(f106(a930),x34941)) % 242.40/242.46 [3495]E(f330(f37(a930),f330(f304(a930),x34951)),f330(a115,x34951)) % 242.40/242.46 [3504]E(f330(f330(f82(a930),f80(a930)),x35041),f330(a115,x35041)) % 242.40/242.46 [3508]E(f330(f105(a1),f330(f103(a1),x35081)),f330(f103(a1),x35081)) % 242.40/242.46 [3509]E(f330(f77(a1),f330(f103(a1),x35091)),f330(f103(a1),x35091)) % 242.40/242.46 [3513]E(f330(f37(x35131),f191(f937(x35131,a925))),f2(a930)) % 242.40/242.46 [3515]E(f330(f330(f38(a930),x35151),f330(a115,f2(a930))),x35151) % 242.40/242.46 [3524]E(f47(a930,x35241,f330(a115,f2(a930))),f2(a930)) % 242.40/242.46 [3525]E(f47(a1,x35251,f330(f106(a1),a100)),f2(a1)) % 242.40/242.46 [3539]E(f330(f330(f38(a1),x35391),f330(f106(a1),a100)),f330(f81(a1),x35391)) % 242.40/242.46 [3543]E(f142(a930,f330(f305(a930,x35431),f2(a930))),f116(a930)) % 242.40/242.46 [3544]E(f330(f330(f82(a1),x35441),f80(a1)),f330(f330(f23(a1),x35441),a100)) % 242.40/242.46 [3545]E(f330(f330(f23(a1),x35451),f80(a1)),f330(f330(f82(a1),x35451),a100)) % 242.40/242.46 [3550]P1(f330(f330(f197(a25),x35501),x35501)) % 242.40/242.46 [3551]P1(f330(f330(f239(a930),x35511),x35511)) % 242.40/242.46 [3552]P1(f330(f330(f239(a1),x35521),x35521)) % 242.40/242.46 [3557]E(f330(f81(a1),f330(f106(a1),x35571)),f330(f106(a1),f330(f81(a1),x35571))) % 242.40/242.46 [3558]P1(f330(f63(a930),f330(f286(a930),x35581))) % 242.40/242.46 [3559]P1(f330(f63(a930),f330(f304(a930),x35591))) % 242.40/242.46 [3566]E(f164(x35661,f246(f937(x35661,a925))),f246(f937(f931(x35661),a925))) % 242.40/242.46 [3571]P1(f330(f330(f239(a930),f2(a930)),x35711)) % 242.40/242.46 [3581]E(f330(f330(f82(a930),f114(x35811)),f330(a115,f2(a930))),f114(f330(a115,x35811))) % 242.40/242.46 [3582]E(f330(f266(x35821),f330(f16(a925,x35821),a243)),f191(f937(x35821,a925))) % 242.40/242.46 [3583]E(f330(f266(x35831),f330(f16(a925,x35831),a190)),f246(f937(x35831,a925))) % 242.40/242.46 [3587]E(f330(f330(f312(a930),x35871),f330(f286(a930),x35871)),f330(f286(a930),f330(a115,x35871))) % 242.40/242.46 [3599]E(f330(f330(f82(a1),f80(a1)),f330(f103(a1),x35991)),f330(f103(a1),f330(a115,x35991))) % 242.40/242.46 [3601]E(f330(f330(f154(f931(x36011)),f116(x36011)),f116(f931(x36011))),f56(x36011,f116(x36011))) % 242.40/242.46 [3621]E(f191(f937(f936(x36211,x36211),a925)),f267(x36211,f191(f937(x36211,a925)))) % 242.40/242.46 [3622]E(f330(f311(x36221),f246(f937(x36221,a925))),f246(f937(f937(x36221,a925),a925))) % 242.40/242.46 [3623]E(f330(f81(f937(x36231,a925)),f191(f937(x36231,a925))),f246(f937(x36231,a925))) % 242.40/242.46 [3624]E(f330(f81(f937(x36241,a925)),f246(f937(x36241,a925))),f191(f937(x36241,a925))) % 242.40/242.46 [3626]P1(f330(f63(x36261),f191(f937(x36261,a925)))) % 242.40/242.46 [3628]E(f330(f305(a930,x36281),f330(a115,x36281)),f330(f330(f312(a930),x36281),f191(f937(a930,a925)))) % 242.40/242.46 [3629]E(f87(f936(a930,a930),f50(x36291,f2(a930))),f330(f330(f256(a930,a930),f2(a930)),x36291)) % 242.40/242.46 [3642]E(f330(f330(f312(a930),f330(a115,x36421)),f330(f304(a930),x36421)),f330(f304(a930),f330(a115,x36421))) % 242.40/242.46 [3646]P42(x36461,f191(f937(f936(x36461,x36461),a925))) % 242.40/242.46 [3647]P44(x36471,f191(f937(f936(x36471,x36471),a925))) % 242.40/242.46 [3650]P1(f330(f330(f239(a1),f2(a1)),f330(f103(a1),x36501))) % 242.40/242.46 [3657]E(f330(f330(f82(a930),f330(f192(a930),x36571)),f330(a115,f2(a930))),f330(f192(a930),f330(a115,x36571))) % 242.40/242.46 [3761]P45(f330(f313(a930,a1,f103(a1)),x37611)) % 242.40/242.46 [3801]P59(x38011,f191(f937(x38011,a925)),f191(f937(f936(x38011,x38011),a925))) % 242.40/242.46 [3821]E(f330(f330(f256(a1,a1),f330(f106(a1),a100)),f330(f330(f23(a1),x38211),f80(a1))),f52(f330(f106(a1),a100),x38211)) % 242.40/242.46 [3874]P66(x38741,f330(f16(f937(x38741,a925),x38741),f330(f16(a925,x38741),a243))) % 242.40/242.46 [4079]P1(f330(f330(f332(f937(f936(a930,a930),a925)),f331(x40791)),a101)) % 242.40/242.46 [4105]P1(f330(f330(f332(f937(f936(a930,a930),a925)),f330(a110,x41051)),a101)) % 242.40/242.46 [4238]P28(x42381,f937(x42381,a925),f330(f330(f7(x42381,f937(x42381,a925),f937(x42381,a925)),f312(x42381)),f191(f937(x42381,a925))),f246(f937(x42381,a925))) % 242.40/242.46 [4731]~E(f330(f330(f82(a1),x47311),x47311),a100) % 242.40/242.46 [4760]~E(f330(a3,f330(a115,f330(a20,x47601))),f2(a102)) % 242.40/242.46 [4766]~P1(f330(a196,f330(f103(a1),x47661))) % 242.40/242.46 [4769]~P1(f330(f330(f240(a930),x47691),x47691)) % 242.40/242.46 [4779]~P1(f330(f330(f239(a930),f330(a115,x47791)),x47791)) % 242.40/242.46 [3573]E(f330(a107,f330(f81(a1),f330(f103(a1),x35731))),f2(a930)) % 242.40/242.46 [3576]E(f330(f330(f82(a1),f330(f81(a1),x35761)),x35761),f2(a1)) % 242.40/242.46 [3580]E(f330(f37(a1),f330(f305(a1,f2(a1)),x35801)),f330(a107,x35801)) % 242.40/242.46 [3592]E(f330(f330(f248(a930),f330(a115,f2(a930))),x35921),f330(a115,f2(a930))) % 242.40/242.46 [3689]E(f330(f285(x36891),f191(f937(f936(x36891,x36891),a925))),f191(f937(x36891,a925))) % 242.40/242.46 [3697]E(f40(f937(x36971,a925),f191(f937(f937(x36971,a925),a925))),f246(f937(x36971,a925))) % 242.40/242.46 [3698]E(f40(f937(x36981,a925),f246(f937(f937(x36981,a925),a925))),f191(f937(x36981,a925))) % 242.40/242.46 [3699]E(f39(f937(x36991,a925),f191(f937(f937(x36991,a925),a925))),f191(f937(x36991,a925))) % 242.40/242.46 [3700]E(f39(f937(x37001,a925),f246(f937(f937(x37001,a925),a925))),f246(f937(x37001,a925))) % 242.40/242.46 [3744]E(f330(f330(f312(f931(x37441)),f116(x37441)),f191(f937(f931(x37441),a925))),f164(x37441,f191(f937(x37441,a925)))) % 242.40/242.46 [3745]E(f330(f330(f312(f931(x37451)),f116(x37451)),f191(f937(f931(x37451),a925))),f165(x37451,f116(f937(x37451,a925)))) % 242.40/242.46 [3785]E(f330(f330(f82(a930),f4(x37851)),f330(a115,f2(a930))),f4(f330(a3,f330(a115,f330(a20,x37851))))) % 242.40/242.46 [3812]E(f330(f37(a1),f330(f313(a930,a1,f103(a1)),x38121)),f330(f37(a930),x38121)) % 242.40/242.46 [3815]P1(f330(f330(f239(a930),x38151),f330(f330(f83(a930),x38151),x38151))) % 242.40/242.46 [3852]E(f330(f313(a1,a930,a107),f306(a1,f2(a1),f330(f103(a1),x38521))),f330(f304(a930),x38521)) % 242.40/242.46 [3869]E(f330(f330(f38(a930),f330(a115,f2(a930))),f330(f106(a930),x38691)),f330(a107,f330(f330(f38(a1),f80(a1)),f330(f106(a1),x38691)))) % 242.40/242.46 [3871]E(f330(f175(a930),f142(a930,f330(f305(a930,f2(a930)),f330(a115,x38711)))),f330(f304(a930),x38711)) % 242.40/242.46 [3872]E(f330(f330(f82(a930),f330(f192(a102),x38721)),f330(a115,f2(a930))),f330(f192(a102),f330(a3,f330(a115,f330(a20,x38721))))) % 242.40/242.46 [3891]P44(x38911,f310(x38911,f191(f937(f936(x38911,x38911),a925)))) % 242.40/242.46 [3892]P58(x38921,f310(x38921,f191(f937(f936(x38921,x38921),a925)))) % 242.40/242.46 [3893]E(f330(f313(a1,a930,a107),f330(f313(a930,a1,f103(a1)),x38931)),x38931) % 242.40/242.46 [3924]E(f330(f330(f312(a930),f2(a930)),f330(f313(a930,a930,a115),f330(f286(a930),x39241))),f330(f286(a930),f330(a115,x39241))) % 242.40/242.46 [3931]P61(x39311,x39311,f310(x39311,f191(f937(f936(x39311,x39311),a925)))) % 242.40/242.46 [3937]P1(f330(a196,f330(f81(a1),f330(f103(a1),f330(a115,x39371))))) % 242.40/242.46 [3947]E(f330(f330(f23(f937(a930,a925)),f330(f287(a930),x39471)),f330(f330(f312(a930),x39471),f191(f937(a930,a925)))),f330(f287(a930),f330(a115,x39471))) % 242.40/242.46 [3964]E(f330(f330(f82(a1),f330(f330(f23(a1),a85),x39641)),f330(f330(f23(a1),a85),x39641)),f330(f330(f23(a1),a85),f330(f330(f82(a1),x39641),x39641))) % 242.40/242.46 [3979]E(f330(f330(f312(f937(x39791,a925)),f191(f937(x39791,a925))),f191(f937(f937(x39791,a925),a925))),f330(f311(x39791),f191(f937(x39791,a925)))) % 242.40/242.46 [4007]E(f330(f330(f23(f937(a930,a925)),f330(f307(a930),x40071)),f330(f330(f312(a930),f330(a115,x40071)),f191(f937(a930,a925)))),f330(f307(a930),f330(a115,x40071))) % 242.40/242.46 [4117]E(f330(f106(a930),f330(f330(f82(a1),x41171),x41171)),f330(f330(f88(a930,a930),f330(f106(a930),x41171)),f330(f330(f18(a930,a930,a930),f82(a930)),f5(a930)))) % 242.40/242.46 [4493]P17(x44931,f937(x44931,a925),f330(f330(f8(f937(x44931,a925),f937(f937(x44931,a925),f937(x44931,a925)),x44931),f330(f7(f937(x44931,a925),f937(x44931,a925),f937(x44931,a925)),f23(f937(x44931,a925)))),f330(f330(f7(x44931,f937(x44931,a925),f937(x44931,a925)),f312(x44931)),f191(f937(x44931,a925))))) % 242.40/242.47 [4580]E(f330(f266(f936(a1,a1)),f330(f261(a1,a1,a925),f330(f330(f8(f937(a1,a925),f937(a1,a925),a1),f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),x45801)))),f240(a1)))),f108(x45801)) % 242.40/242.47 [4613]E(f330(f266(f936(a1,a1)),f330(f261(a1,a1,a925),f330(f330(f18(a1,f937(a1,a925),f937(a1,a925)),f330(f330(f8(f937(a925,a925),f937(f937(a1,a925),f937(a1,a925)),a1),f8(a925,a925,a1)),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),x46131)))),f240(a1)))),f109(x46131)) % 242.40/242.47 [4666]E(f330(f266(f936(f937(x46661,a925),f937(x46661,a925))),f330(f261(f937(x46661,a925),f937(x46661,a925),a925),f330(f330(f7(f937(x46661,a925),f937(f937(x46661,a925),a925),f937(f937(x46661,a925),a925)),f330(f330(f8(f937(f937(x46661,a925),f937(a925,a925)),f937(f937(f937(x46661,a925),a925),f937(f937(x46661,a925),a925)),f937(x46661,a925)),f18(f937(x46661,a925),a925,a925)),f330(f330(f8(f937(f937(x46661,a925),a925),f937(f937(x46661,a925),f937(a925,a925)),f937(x46661,a925)),f330(f8(a925,f937(a925,a925),f937(x46661,a925)),a328)),f240(f937(x46661,a925))))),f63(x46661)))),f317(x46661)) % 242.40/242.47 [4783]~P1(f330(f63(f931(x47831)),f246(f937(f931(x47831),a925)))) % 242.40/242.47 [4795]~P1(f330(f330(f239(a1),f2(a1)),f330(f81(a1),f330(f103(a1),f330(a115,x47951))))) % 242.40/242.47 [3723]E(f330(f330(f23(a1),f330(f330(f82(a1),x37231),a100)),a100),x37231) % 242.40/242.47 [3737]E(f330(f175(a930),f142(a930,f330(f305(a930,f2(a930)),x37371))),f330(f286(a930),x37371)) % 242.40/242.47 [3986]E(f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x39861)),x39861),f330(f330(f23(a1),f330(f330(f82(a1),x39861),x39861)),a100)) % 242.40/242.47 [4034]E(f330(f290(x40341,x40341),f310(x40341,f191(f937(f936(x40341,x40341),a925)))),f310(x40341,f191(f937(f936(x40341,x40341),a925)))) % 242.40/242.47 [4082]P1(f330(f330(f239(a930),x40821),f330(f330(f83(a930),x40821),f330(f330(f83(a930),x40821),x40821)))) % 242.40/242.47 [4355]P1(f330(f63(a930),f330(f266(a930),f330(f330(f7(a930,a930,a925),f239(a930)),x43551)))) % 242.40/242.47 [4356]P1(f330(f63(a930),f330(f266(a930),f330(f330(f7(a930,a930,a925),f240(a930)),x43561)))) % 242.40/242.47 [4629]E(f330(f266(f936(x46291,x46291)),f330(f330(f8(f937(x46291,a925),a925,f936(x46291,x46291)),f89(x46291)),f330(f330(f7(f936(x46291,x46291),f937(x46291,f936(x46291,x46291)),f937(x46291,a925)),f330(f330(f8(f937(f936(x46291,x46291),a925),f937(f937(x46291,f936(x46291,x46291)),f937(x46291,a925)),f936(x46291,x46291)),f8(f936(x46291,x46291),a925,x46291)),a327)),f330(f330(f18(x46291,x46291,f936(x46291,x46291)),f256(x46291,x46291)),f5(x46291))))),f310(x46291,f191(f937(f936(x46291,x46291),a925)))) % 242.40/242.47 [4785]~E(f330(f330(f23(a1),f330(f330(f82(a1),x47851),x47851)),a100),a85) % 242.40/242.47 [4787]~E(f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x47871)),x47871),f2(a1)) % 242.40/242.47 [4128]E(f330(f330(f82(a1),f330(f330(f23(a1),a100),x41281)),f330(f330(f23(a1),a100),x41281)),f330(f330(f23(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x41281),x41281)),a100))) % 242.40/242.47 [4246]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),a100),x42461)),f330(f330(f23(a1),a100),x42461))),a100),f330(f330(f23(a1),a100),f330(f330(f82(a1),x42461),x42461))) % 242.40/242.47 [4278]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),x42781),a100)),f330(f330(f82(a1),x42781),a100))),a100),f330(f330(f82(a1),f330(f330(f82(a1),x42781),x42781)),a100)) % 242.40/242.47 [4316]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),a100),x43161)),f330(f330(f23(a1),a100),x43161))),a100),f330(f330(f23(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x43161),x43161)),a100))) % 242.40/242.47 [4413]E(f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x44131),f2(a930))),f191(f937(f936(a930,a930),a925))))),f330(f103(a1),x44131)) % 242.40/242.47 [4423]E(f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),f520(x44231)),f529(x44231))),f191(f937(f936(a930,a930),a925))))),x44231) % 242.40/242.47 [4457]E(f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x44571)),f330(f313(a930,a1,f103(a1)),f330(f266(a930),f330(f330(f8(a1,a925,a930),x44571),f103(a1))))) % 242.40/242.47 [4501]P45(f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x45011))) % 242.40/242.47 [4521]P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x45211),f191(f937(f936(a930,a930),a925)))),a73)) % 242.40/242.47 [4526]E(f330(f313(a1,a930,a107),f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),f330(f330(f8(a930,a925,a1),x45261),a107)))),f330(f266(a930),x45261)) % 242.40/242.47 [4681]E(f315(a930,f330(f330(f41(f936(a930,a930),f937(a930,a925)),f330(a110,x46811)),f330(f261(a930,a930,f937(a930,a925)),f330(f330(f7(a930,f937(a930,a925),f937(a930,f937(a930,a925))),f330(f330(f8(f937(a930,f937(f937(a930,a925),f937(a930,a925))),f937(f937(a930,a925),f937(a930,f937(a930,a925))),a930),f7(a930,f937(a930,a925),f937(a930,a925))),f330(f330(f8(f937(a930,a930),f937(a930,f937(f937(a930,a925),f937(a930,a925))),a930),f330(f8(a930,f937(f937(a930,a925),f937(a930,a925)),a930),f312(a930))),f23(a930)))),f191(f937(a930,a925)))))),f330(a107,x46811)) % 242.40/242.47 [4173]E(f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x41731),x41731)),a100)),a100),f330(f330(f82(a1),x41731),x41731)) % 242.40/242.47 [4223]E(f330(f330(f23(a1),f330(f330(f23(a1),f330(f330(f82(a1),x42231),x42231)),a100)),a100),f330(f330(f82(a1),f330(f330(f23(a1),x42231),a100)),f330(f330(f23(a1),x42231),a100))) % 242.40/242.47 [4429]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),f330(f81(a1),x44291)),a100)),f330(f330(f82(a1),f330(f81(a1),x44291)),a100))),a100),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),x44291),x44291)),a100))) % 242.40/242.47 [4474]E(f330(f330(f82(a930),x44741),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a115,f330(a115,x44741))) % 242.40/242.47 [4475]E(f330(f330(f83(a930),x44751),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f82(a930),x44751),x44751)) % 242.40/242.47 [4476]E(f330(f330(f38(a930),f330(f330(f82(a930),x44761),x44761)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x44761) % 242.40/242.47 [4554]E(f47(a930,f330(a115,f330(a115,x45541)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f47(a930,x45541,f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [4695]E(f330(a91,f330(f330(f41(f936(a930,a930),f937(f936(a930,a930),a925)),f330(a110,x46951)),f330(f261(a930,a930,f937(f936(a930,a930),a925)),f330(f330(f8(f937(a930,f937(f936(a930,a930),a925)),f937(a930,f937(f936(a930,a930),a925)),a930),f330(f8(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925),a930),f289(f936(a930,a930),f936(a930,a930),a111))),f330(f330(f7(a930,f937(f936(a930,a930),a925),f937(a930,f937(f936(a930,a930),a925))),f330(f330(f8(f937(a930,f937(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f937(f937(f936(a930,a930),a925),f937(a930,f937(f936(a930,a930),a925))),a930),f7(a930,f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f8(f937(a930,f936(a930,a930)),f937(a930,f937(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),a930),f330(f8(f936(a930,a930),f937(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),a930),f312(f936(a930,a930)))),f330(f7(a930,a930,f936(a930,a930)),f256(a930,a930))))),f191(f937(f936(a930,a930),a925))))))),f330(f81(a1),x46951)) % 242.40/242.47 [4549]E(f330(f330(f82(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x45491),f330(a115,f330(a115,x45491))) % 242.40/242.47 [4550]E(f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x45501),f330(f330(f82(a930),x45501),x45501)) % 242.40/242.47 [4586]E(f330(f330(f38(a930),f330(a115,f330(a115,x45861))),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a115,f330(f330(f38(a930),x45861),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.47 [4636]E(f330(f330(f82(a930),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46361),f330(a115,f330(a115,f330(a115,x46361)))) % 242.40/242.47 [4702]E(f330(f261(a1,a1,f936(a1,a1)),f330(f330(f18(a1,f937(a1,f936(a1,a1)),f937(a1,f936(a1,a1))),f330(f330(f8(f937(a1,f937(f936(a1,a1),f936(a1,a1))),f937(f937(a1,f936(a1,a1)),f937(a1,f936(a1,a1))),a1),f18(a1,f936(a1,a1),f936(a1,a1))),f330(f330(f8(f937(a1,f936(a1,a1)),f937(a1,f937(f936(a1,a1),f936(a1,a1))),a1),f330(f18(a1,f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),f330(f330(f8(a925,f937(f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),a1),f99(f936(a1,a1))),f330(f330(f8(a1,a925,a1),f330(f239(a1),f2(a1))),f330(f330(f7(a1,a1,a1),f23(a1)),x47021))))),f330(f330(f7(a1,f937(a1,a1),f937(a1,f936(a1,a1))),f330(f330(f8(f937(a1,f936(a1,a1)),f937(f937(a1,a1),f937(a1,f936(a1,a1))),a1),f8(a1,f936(a1,a1),a1)),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f330(f330(f7(a1,a1,a1),f330(f330(f8(a1,f937(a1,a1),a1),f82(a1)),f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f80(a1))))),f330(f330(f7(a1,a1,a1),f23(a1)),x47021))))),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))),f45(x47021)) % 242.40/242.47 [3764]P46(a25,x37641,x37642,x37641) % 242.40/242.47 [3398]P109(f936(x33981,x33982)) % 242.40/242.47 [3399]P109(f938(x33991,x33992)) % 242.40/242.47 [3400]P109(f935(x34001,x34002)) % 242.40/242.47 [3417]P16(a1,f181(x34171,x34172)) % 242.40/242.47 [3418]P42(x34181,f156(x34181,x34182)) % 242.40/242.47 [3419]P43(x34191,f267(x34191,x34192)) % 242.40/242.47 [3420]P43(x34201,f310(x34201,x34202)) % 242.40/242.47 [3421]P44(x34211,f267(x34211,x34212)) % 242.40/242.47 [3422]P58(x34221,f267(x34221,x34222)) % 242.40/242.47 [3486]P36(x34861,x34862,f116(x34861)) % 242.40/242.47 [3519]P59(x35191,x35192,f267(x35191,x35192)) % 242.40/242.47 [3520]P61(x35201,x35201,f267(x35201,x35202)) % 242.40/242.47 [3788]P28(x37881,x37881,f5(x37881),x37882) % 242.40/242.47 [3789]P28(x37891,x37891,f33(x37891),x37892) % 242.40/242.47 [3797]P37(x37971,x37972,f116(x37971),f116(x37971)) % 242.40/242.47 [3806]P28(f931(x38061),f931(x38061),f171(x38061),x38062) % 242.40/242.47 [4213]P29(x42131,x42131,f33(x42131),x42132,x42132) % 242.40/242.47 [4713]~E(f32(x47131,x47132),a25) % 242.40/242.47 [4714]~E(f31(x47141,x47142),a25) % 242.40/242.47 [4743]~P38(x47431,x47432,f116(x47431)) % 242.40/242.47 [4744]~P40(x47441,x47442,f116(x47441)) % 242.40/242.47 [3383]E(f330(f5(x33831),x33832),x33832) % 242.40/242.47 [3385]E(f330(f33(x33851),x33852),x33852) % 242.40/242.47 [3386]E(f330(f266(x33861),x33862),x33862) % 242.40/242.47 [3396]E(f330(f194(x33961),x33962),f118(x33961)) % 242.40/242.47 [3415]E(f87(x34151,f330(a327,x34152)),x34152) % 242.40/242.47 [3416]E(f92(x34161,f330(a327,x34162)),x34162) % 242.40/242.47 [3439]E(f330(f128(x34391,x34392),f122(x34391)),f2(a930)) % 242.40/242.47 [3442]E(f330(f139(x34421,x34422),f116(x34421)),f116(x34421)) % 242.40/242.47 [3462]E(f310(x34621,f310(x34621,x34622)),f310(x34621,x34622)) % 242.40/242.47 [3463]E(f155(x34631,f155(x34631,x34632)),f155(x34631,x34632)) % 242.40/242.47 [3481]E(f330(f330(f137(x34811),x34812),f116(x34811)),x34812) % 242.40/242.47 [3487]E(f176(x34871,x34872,f116(x34871)),x34872) % 242.40/242.47 [3488]E(f176(x34881,f116(x34881),x34882),x34882) % 242.40/242.47 [3489]E(f119(x34891,f122(x34891),x34892),x34892) % 242.40/242.47 [3490]E(f172(x34901,f2(a930),x34902),f116(x34901)) % 242.40/242.47 [3496]E(f330(f330(f178(x34961),x34962),f116(x34961)),f116(x34961)) % 242.40/242.47 [3497]E(f330(f330(f141(x34971),x34972),f116(x34971)),f116(x34971)) % 242.40/242.47 [3499]E(f158(x34991,x34992,f116(x34991)),f2(a930)) % 242.40/242.47 [3501]E(f173(x35011,x35012,f116(x35011)),f116(x35011)) % 242.40/242.47 [3502]E(f180(x35021,x35022,f116(x35021)),f116(x35021)) % 242.40/242.47 [3503]E(f179(x35031,f116(x35031),x35032),f116(x35031)) % 242.40/242.47 [3507]E(f330(f175(x35071),f155(x35071,x35072)),f330(f175(x35071),x35072)) % 242.40/242.47 [3510]E(f330(f288(x35101,x35101),f267(x35101,x35102)),x35102) % 242.40/242.47 [3511]E(f330(f268(x35111,x35111),f267(x35111,x35112)),x35112) % 242.40/242.47 [3518]E(f330(f290(x35181,x35181),f267(x35181,x35182)),f267(x35181,x35182)) % 242.40/242.47 [3531]E(f310(f931(x35311),f160(x35311,x35312)),f161(x35311,f310(x35311,x35312))) % 242.40/242.47 [3533]P1(f330(f140(a1),f181(x35331,x35332))) % 242.40/242.47 [3541]E(f330(f288(x35411,x35411),f310(x35411,x35412)),f246(f937(x35411,a925))) % 242.40/242.47 [3542]E(f330(f268(x35421,x35421),f310(x35421,x35422)),f246(f937(x35421,a925))) % 242.40/242.47 [3546]P1(f330(f140(x35461),f155(x35461,x35462))) % 242.40/242.47 [3548]P1(f330(f163(x35481,x35482),f116(x35481))) % 242.40/242.47 [3555]E(f330(f175(a1),f181(x35551,x35552)),f306(a1,x35551,x35552)) % 242.40/242.47 [3569]P62(x35691,f191(f937(x35691,a925)),x35692) % 242.40/242.47 [3574]E(f330(f260(a1,a1),f48(x35741,x35742)),f47(a1,x35741,x35742)) % 242.40/242.47 [3575]E(f330(f305(a930,x35751),f330(a115,x35752)),f306(a930,x35751,x35752)) % 242.40/242.47 [3591]E(f330(f330(f154(x35911),x35912),f116(x35911)),f143(x35911,x35912,f116(x35911))) % 242.40/242.47 [3603]E(f306(a930,f330(a115,x36031),x36032),f308(a930,x36031,x36032)) % 242.40/242.47 [3606]P59(x36061,f246(f937(x36061,a925)),f310(x36061,x36062)) % 242.40/242.47 [3669]E(f330(f330(f23(a930),x36691),f330(a115,x36692)),f330(f37(a930),f309(a930,x36692,x36691))) % 242.40/242.47 [3724]E(f169(x37241,x37242,f116(x37241)),f330(f330(f256(f931(x37241),f931(x37241)),f116(x37241)),f116(x37241))) % 242.40/242.47 [3742]E(f330(f261(x37421,x37422,f936(x37421,x37422)),f256(x37421,x37422)),f33(f936(x37421,x37422))) % 242.40/242.47 [3746]P1(f330(f330(f332(f931(x37461)),f116(x37461)),f164(x37461,x37462))) % 242.40/242.47 [3747]E(f330(f192(f931(x37471)),f117(x37471,x37472)),f330(f330(f23(a930),f330(f192(f931(x37471)),x37472)),f80(a930))) % 242.40/242.47 [3755]P1(f330(f63(a930),f306(a930,x37551,x37552))) % 242.40/242.47 [3756]P1(f330(f63(a930),f309(a930,x37561,x37562))) % 242.40/242.47 [3757]P1(f330(f63(a930),f308(a930,x37571,x37572))) % 242.40/242.47 [3758]P1(f330(f63(a1),f306(a1,x37581,x37582))) % 242.40/242.47 [3759]P1(f330(f63(a1),f309(a1,x37591,x37592))) % 242.40/242.47 [3760]P1(f330(f63(a1),f308(a1,x37601,x37602))) % 242.40/242.47 [3868]E(f330(f313(a930,a930,a115),f306(a930,x38681,x38682)),f306(a930,f330(a115,x38681),f330(a115,x38682))) % 242.40/242.47 [3887]E(f330(f330(f292(x38871,x38871,x38871),f310(x38871,x38872)),f310(x38871,x38872)),f310(x38871,x38872)) % 242.40/242.47 [3922]E(f330(f330(f256(a1,a1),f330(f330(f38(a1),x39221),x39222)),f47(a1,x39221,x39222)),f48(x39221,x39222)) % 242.40/242.47 [3923]E(f330(f330(f256(a102,a102),f330(f330(f38(a102),x39231),x39232)),f47(a102,x39231,x39232)),f21(x39231,x39232)) % 242.40/242.47 [3951]E(f330(f330(f256(a930,a930),f330(f330(f38(a930),x39511),x39512)),f47(a930,x39511,x39512)),f87(f936(a930,a930),f50(x39511,x39512))) % 242.40/242.47 [4003]P1(f330(f330(f240(a930),f330(f330(f23(a930),x40031),x40032)),f330(a115,x40031))) % 242.40/242.47 [4053]P43(x40531,f330(f330(f292(x40531,x40531,x40531),x40532),f310(x40531,x40532))) % 242.40/242.47 [4104]E(f330(f330(f82(a1),f330(f330(f83(a1),x41041),f330(f330(f38(a1),x41042),x41041))),f47(a1,x41042,x41041)),x41042) % 242.40/242.47 [4108]E(f330(f330(f41(a930,f937(f936(f931(x41081),f931(x41081)),a925)),f246(f937(a930,a925))),f146(x41081,x41082)),f148(x41081,x41082)) % 242.40/242.47 [4332]P1(f330(f330(f332(f936(f931(x43321),f931(x43321))),f330(f330(f256(f931(x43321),f931(x43321)),f116(x43321)),f116(x43321))),f161(x43321,x43322))) % 242.40/242.47 [4442]E(f257(x44421,x44421,x44421,a327,f257(x44421,x44421,x44421,x44422,a327)),x44422) % 242.40/242.47 [4486]E(f262(x44861,x44861,x44862,x44862,f5(x44861),f5(x44862)),f33(f936(x44861,x44862))) % 242.40/242.47 [4488]E(f262(x44881,x44881,x44882,x44882,f33(x44881),f33(x44882)),f33(f936(x44881,x44882))) % 242.40/242.47 [3480]E(f330(f171(x34801),f330(f171(x34801),x34802)),x34802) % 242.40/242.47 [3482]E(f330(f330(f141(x34821),f2(a930)),x34822),x34822) % 242.40/242.47 [3498]E(f330(f330(f178(x34981),f2(a930)),x34982),f116(x34981)) % 242.40/242.47 [3505]E(f330(f330(f137(x35051),f116(x35051)),x35052),x35052) % 242.40/242.47 [3514]E(f39(f937(x35141,a925),f330(f311(x35141),x35142)),x35142) % 242.40/242.47 [3516]E(f330(f175(x35161),f330(f170(x35161),x35162)),f330(f175(x35161),x35162)) % 242.40/242.47 [3517]E(f330(f175(x35171),f330(f171(x35171),x35172)),f330(f175(x35171),x35172)) % 242.40/242.47 [3522]E(f330(f330(f23(a102),x35221),x35222),f330(f330(a24,x35221),x35222)) % 242.40/242.47 [3535]E(f330(f330(f82(a930),x35351),x35352),f330(f330(f82(a930),x35352),x35351)) % 242.40/242.47 [3536]E(f330(f330(f82(a1),x35361),x35362),f330(f330(f82(a1),x35362),x35361)) % 242.40/242.47 [3537]E(f330(f330(f83(a930),x35371),x35372),f330(f330(f83(a930),x35372),x35371)) % 242.40/242.47 [3538]E(f330(f330(f83(a1),x35381),x35382),f330(f330(f83(a1),x35382),x35381)) % 242.40/242.47 [3561]E(f330(f330(f186(x35611,x35611),f2(a930)),x35612),f33(x35611)) % 242.40/242.47 [3562]E(f330(f192(f931(x35621)),f330(f170(x35621),x35622)),f330(f192(f931(x35621)),x35622)) % 242.40/242.47 [3563]E(f330(f192(f931(x35631)),f330(f171(x35631),x35632)),f330(f192(f931(x35631)),x35632)) % 242.40/242.47 [3564]E(f179(x35641,x35642,f191(f937(a930,a925))),f116(x35641)) % 242.40/242.47 [3565]E(f330(f330(f157(x35651,x35651),f5(x35651)),x35652),x35652) % 242.40/242.47 [3567]E(f330(f255(a1,a1),f48(x35671,x35672)),f330(f330(f38(a1),x35671),x35672)) % 242.40/242.47 [3584]E(f330(f192(f931(x35841)),f155(x35841,x35842)),f330(f37(x35841),f330(f175(x35841),x35842))) % 242.40/242.47 [3585]E(f30(f31(x35851,x35852)),f330(f330(f82(a930),f30(x35852)),f330(a115,f2(a930)))) % 242.40/242.47 [3586]E(f330(f285(x35861),f330(f290(x35861,x35861),x35862)),f330(f285(x35861),x35862)) % 242.40/242.47 [3590]P1(f330(f63(x35901),f330(f175(x35901),x35902))) % 242.40/242.47 [3598]E(f330(f330(f82(a1),x35981),f330(f81(a1),x35982)),f330(f330(f23(a1),x35981),x35982)) % 242.40/242.47 [3605]P27(x36051,x36052,f191(f937(f929(x36051),a925))) % 242.40/242.47 [3607]E(f330(f313(x36071,x36071,f5(x36071)),x36072),x36072) % 242.40/242.47 [3608]E(f330(f313(x36081,x36081,f33(x36081)),x36082),x36082) % 242.40/242.47 [3609]E(f330(f314(x36091,x36091,f5(x36091)),x36092),x36092) % 242.40/242.47 [3610]E(f330(f314(x36101,x36101,f33(x36101)),x36102),x36102) % 242.40/242.47 [3611]P1(f330(f246(f937(x36111,a925)),x36112)) % 242.40/242.47 [3613]E(f330(f37(a930),f330(f305(a930,x36131),x36132)),f330(f330(f23(a930),x36132),x36131)) % 242.40/242.47 [3614]E(f330(f305(a930,f330(a115,x36141)),x36142),f309(a930,x36141,x36142)) % 242.40/242.47 [3627]E(f330(f330(f312(x36271),x36272),f191(f937(x36271,a925))),f330(f266(x36271),f330(a327,x36272))) % 242.40/242.47 [3632]E(f310(x36321,f330(f290(x36321,x36321),x36322)),f330(f290(x36321,x36321),f310(x36321,x36322))) % 242.40/242.47 [3637]E(f330(f330(f82(a930),f330(a115,x36371)),x36372),f330(f330(f82(a930),x36371),f330(a115,x36372))) % 242.40/242.47 [3638]E(f330(f330(f23(a930),f330(a115,x36381)),f330(a115,x36382)),f330(f330(f23(a930),x36381),x36382)) % 242.40/242.47 [3644]E(f57(x36441,f2(a930),x36442),f330(f330(f154(f931(x36441)),f116(x36441)),f116(f931(x36441)))) % 242.40/242.47 [3645]E(f330(f37(a930),f308(a930,x36451,x36452)),f330(f330(f23(a930),x36452),x36451)) % 242.40/242.47 [3654]P42(x36541,f330(f330(f291(a930,x36541),a244),x36542)) % 242.40/242.47 [3656]P16(a930,f142(a930,f330(f305(a930,x36561),x36562))) % 242.40/242.47 [3658]P1(f330(f63(a930),f330(f305(a930,x36581),x36582))) % 242.40/242.47 [3659]P1(f330(f63(a1),f330(f305(a1,x36591),x36592))) % 242.40/242.47 [3662]E(f330(f290(f931(x36621),f931(x36621)),f160(x36621,x36622)),f160(x36621,f330(f290(x36621,x36621),x36622))) % 242.40/242.47 [3663]E(f330(f192(a927),f31(x36631,x36632)),f330(f330(f82(a930),f330(f192(a927),x36632)),f330(a115,f2(a930)))) % 242.40/242.47 [3665]E(f330(f305(a1,x36651),f330(f330(f82(a1),x36652),f80(a1))),f306(a1,x36651,x36652)) % 242.40/242.47 [3668]E(f330(f330(f38(a1),f330(f81(a1),x36681)),f330(f81(a1),x36682)),f330(f330(f38(a1),x36681),x36682)) % 242.40/242.47 [3676]E(f330(f330(f186(f936(x36761,x36761),a925),f80(a930)),x36762),x36762) % 242.40/242.47 [3678]E(f330(f330(f113(f937(x36781,a925)),x36782),f191(f937(x36781,a925))),x36782) % 242.40/242.47 [3679]E(f330(f330(f23(f937(x36791,a925)),x36792),f191(f937(x36791,a925))),x36792) % 242.40/242.47 [3680]E(f330(f330(f104(f937(x36801,a925)),x36802),f246(f937(x36801,a925))),x36802) % 242.40/242.47 [3681]E(f330(f255(a930,a930),f87(f936(a930,a930),f50(x36811,x36812))),f330(f330(f38(a930),x36811),x36812)) % 242.40/242.47 [3688]E(f306(a1,f330(f330(f82(a1),x36881),f80(a1)),x36882),f308(a1,x36881,x36882)) % 242.40/242.47 [3693]E(f330(f260(a930,a930),f87(f936(a930,a930),f50(x36931,x36932))),f47(a930,x36931,x36932)) % 242.40/242.47 [3703]P1(f330(f330(f332(x37031),x37032),f246(f937(x37031,a925)))) % 242.40/242.47 [3707]E(f330(f330(f23(a930),f330(a115,x37071)),x37072),f330(f37(a930),f306(a930,x37072,x37071))) % 242.40/242.47 [3733]E(f330(f330(f113(f937(x37331,a925)),x37332),f246(f937(x37331,a925))),f246(f937(x37331,a925))) % 242.40/242.47 [3734]E(f330(f330(f23(f937(x37341,a925)),x37342),f246(f937(x37341,a925))),f191(f937(x37341,a925))) % 242.40/242.47 [3735]E(f330(f330(f104(f937(x37351,a925)),x37352),f191(f937(x37351,a925))),f191(f937(x37351,a925))) % 242.40/242.47 [3750]E(f47(a1,f330(f81(a1),x37501),f330(f81(a1),x37502)),f330(f81(a1),f47(a1,x37501,x37502))) % 242.40/242.47 [3751]E(f47(a1,f330(f103(a1),x37511),f330(f103(a1),x37512)),f330(f103(a1),f47(a930,x37511,x37512))) % 242.40/242.47 [3762]E(f330(f192(f931(x37621)),f330(f174(x37621),x37622)),f330(f330(f23(a930),f330(f192(f931(x37621)),x37622)),f80(a930))) % 242.40/242.47 [3790]E(f330(f330(f38(a1),f47(a1,x37901,x37902)),x37902),f2(a1)) % 242.40/242.47 [3799]E(f330(a3,f47(a930,f330(a20,x37991),f330(a20,x37992))),f47(a102,x37991,x37992)) % 242.40/242.47 [3834]E(f330(a3,f330(f330(f23(a930),f330(a20,x38341)),f330(a20,x38342))),f330(f330(f23(a102),x38341),x38342)) % 242.40/242.47 [3835]E(f330(a3,f330(f330(f82(a930),f330(a20,x38351)),f330(a20,x38352))),f330(f330(f82(a102),x38351),x38352)) % 242.40/242.47 [3836]E(f330(a3,f330(f330(f83(a930),f330(a20,x38361)),f330(a20,x38362))),f330(f330(f83(a102),x38361),x38362)) % 242.40/242.47 [3837]E(f330(a3,f330(f330(f38(a930),f330(a20,x38371)),f330(a20,x38372))),f330(f330(f38(a102),x38371),x38372)) % 242.40/242.47 [3846]E(f330(f313(a930,a930,a115),f330(f305(a930,x38461),x38462)),f330(f305(a930,f330(a115,x38461)),f330(a115,x38462))) % 242.40/242.47 [3873]P1(f330(f50(x38731,x38732),f87(f936(a930,a930),f50(x38731,x38732)))) % 242.40/242.47 [3896]E(f330(f330(f82(a930),f330(f330(f82(a930),f30(x38961)),f30(x38962))),f330(a115,f2(a930))),f30(f32(x38961,x38962))) % 242.40/242.47 [3897]E(f47(a930,f330(a115,f47(a930,x38971,x38972)),x38972),f47(a930,f330(a115,x38971),x38972)) % 242.40/242.47 [3909]E(f330(f330(f42(f937(x39091,a925),f937(x39091,a925)),x39092),f5(f937(x39091,a925))),f40(f937(x39091,a925),x39092)) % 242.40/242.47 [3910]E(f330(f330(f41(f937(x39101,a925),f937(x39101,a925)),x39102),f5(f937(x39101,a925))),f39(f937(x39101,a925),x39102)) % 242.40/242.47 [3911]E(f330(f313(f931(x39111),f937(x39111,a925),f175(x39111)),f330(f175(f931(x39111)),f56(x39111,x39112))),f330(f311(x39111),f330(f175(x39111),x39112))) % 242.40/242.47 [3915]P1(f330(f330(f332(f937(x39151,a925)),x39152),f330(f311(x39151),x39152))) % 242.40/242.47 [3921]E(f47(a1,f330(f81(a1),f47(a1,x39211,x39212)),x39212),f47(a1,f330(f81(a1),x39211),x39212)) % 242.40/242.47 [3933]P1(f330(f330(f239(f937(x39331,a925)),x39332),f246(f937(x39331,a925)))) % 242.40/242.47 [3935]E(f330(f330(f292(x39351,x39351,x39351),f310(x39351,x39352)),f310(x39351,f310(x39351,x39352))),f310(x39351,x39352)) % 242.40/242.47 [3936]E(f330(f330(f113(f937(x39361,a925)),f330(f268(x39361,x39361),x39362)),f330(f288(x39361,x39361),x39362)),f330(f285(x39361),x39362)) % 242.40/242.47 [3957]E(f316(x39571,x39572,f246(f937(x39571,a925)),f246(f937(x39572,a925))),f246(f937(f938(x39571,x39572),a925))) % 242.40/242.47 [4008]P1(f330(f330(f239(a930),f47(a930,x40081,x40082)),x40081)) % 242.40/242.47 [4032]P1(f330(f330(f239(a1),f330(f81(a1),f330(f103(a1),x40321))),f330(f103(a1),x40322))) % 242.40/242.47 [4058]P1(f330(f330(f332(f937(x40581,a925)),f191(f937(x40581,a925))),f330(f311(x40581),x40582))) % 242.40/242.47 [4063]E(f310(x40631,f330(f330(f292(x40631,x40631,x40631),x40632),f310(x40631,x40632))),f310(x40631,x40632)) % 242.40/242.47 [4066]E(f330(f330(f292(x40661,x40661,x40661),f310(x40661,x40662)),x40662),f330(f330(f292(x40661,x40661,x40661),x40662),f310(x40661,x40662))) % 242.40/242.47 [4068]E(f330(a107,f330(f330(f82(a1),f330(f330(f23(a1),x40681),x40682)),f80(a1))),f330(f37(a1),f306(a1,x40682,x40681))) % 242.40/242.47 [4083]E(f330(f288(x40831,x40831),f330(f330(f292(x40831,x40831,x40831),x40832),f310(x40831,x40832))),f330(f288(x40831,x40831),x40832)) % 242.40/242.47 [4084]E(f330(f268(x40841,x40841),f330(f330(f292(x40841,x40841,x40841),x40842),f310(x40841,x40842))),f330(f268(x40841,x40841),x40842)) % 242.40/242.47 [4100]E(f330(f330(f82(a930),f330(f330(f82(a930),f330(f192(a927),x41001)),f330(f192(a927),x41002))),f330(a115,f2(a930))),f330(f192(a927),f32(x41001,x41002))) % 242.40/242.47 [4103]E(f330(f145(f931(x41031),f931(x41031),f137(x41031),f116(x41031)),f172(f931(x41031),x41032,f116(x41031))),f116(x41031)) % 242.40/242.47 [4112]P28(a930,a930,f330(f330(f7(a930,a930,a930),f82(a930)),x41121),x41122) % 242.40/242.47 [4114]P16(a930,f330(f171(a930),f330(f330(f157(f931(x41141),a930),f192(f931(x41141))),f182(x41141,x41142)))) % 242.40/242.47 [4145]P58(x41451,f330(f330(f113(f937(f936(x41451,x41451),a925)),x41452),f330(f290(x41451,x41451),x41452))) % 242.40/242.47 [4146]P58(x41461,f330(f330(f104(f937(f936(x41461,x41461),a925)),x41462),f330(f290(x41461,x41461),x41462))) % 242.40/242.47 [4157]P1(f330(f330(f240(a1),f330(f81(a1),f330(f103(a1),f330(a115,x41571)))),f330(f103(a1),x41572))) % 242.40/242.47 [4202]E(f330(f145(f931(x42021),x42021,f330(f7(x42021,f931(x42021),f931(x42021)),f154(x42021)),f116(x42021)),x42022),f330(f171(x42021),x42022)) % 242.40/242.47 [4253]P1(f330(f330(f239(f937(f936(f931(x42531),f931(x42531)),a925)),f161(x42531,x42532)),f310(f931(x42531),f160(x42531,x42532)))) % 242.40/242.47 [4282]P1(f330(f50(x42821,x42822),f330(f330(f256(a930,a930),f330(f330(f38(a930),x42821),x42822)),f47(a930,x42821,x42822)))) % 242.40/242.47 [4294]P1(f330(f330(f239(f937(f936(f931(x42941),f931(x42941)),a925)),f160(x42941,f310(x42941,x42942))),f310(f931(x42941),f160(x42941,x42942)))) % 242.40/242.47 [4511]E(f330(f330(f263(f936(a102,a102),a102,f936(a102,a102),f936(x45111,f936(a102,a102))),f271(f330(f168(a102),f330(f330(f157(f936(a102,x45111),a102),f255(a102,x45111)),x45112)))),f330(f330(f8(x45111,f937(f936(a102,a102),f936(x45111,f936(a102,a102))),a102),f256(x45111,f936(a102,a102))),f272(x45111,x45112))),f270(x45111,x45112)) % 242.40/242.47 [4588]E(f227(a930,f936(x45881,f932(x45881)),f2(a930),f330(f261(x45881,f932(x45881),a930),f330(f16(f937(f932(x45881),a930),x45881),f330(f330(f7(f932(x45881),a930,a930),f330(f330(f8(a930,f937(a930,a930),f932(x45881)),f82(a930)),f192(f932(x45881)))),f80(a930)))),f330(f138(x45881),x45882)),f330(f192(f932(x45881)),x45882)) % 242.40/242.47 [4694]E(f330(f261(f937(f936(x46941,x46941),a925),f937(f936(x46941,x46941),a925),f937(f937(x46942,x46941),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f330(f330(f7(f937(f936(x46941,x46941),a925),f937(f937(f936(x46941,x46941),a925),f937(f937(x46942,x46941),f937(f936(x46942,x46942),a925))),f937(f937(f936(x46941,x46941),a925),f937(f937(x46942,x46941),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925))))),f330(f330(f8(f937(f937(f937(x46942,x46941),f937(f936(x46942,x46942),a925)),f937(f937(x46942,x46941),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f937(f937(f937(f936(x46941,x46941),a925),f937(f937(x46942,x46941),f937(f936(x46942,x46942),a925))),f937(f937(f936(x46941,x46941),a925),f937(f937(x46942,x46941),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925))))),f937(f936(x46941,x46941),a925)),f8(f937(f937(x46942,x46941),f937(f936(x46942,x46942),a925)),f937(f937(x46942,x46941),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925))),f937(f936(x46941,x46941),a925))),f330(f330(f8(f937(f937(x46942,x46941),f937(f937(f936(x46942,x46942),a925),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f937(f937(f937(x46942,x46941),f937(f936(x46942,x46942),a925)),f937(f937(x46942,x46941),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f937(f936(x46941,x46941),a925)),f18(f937(x46942,x46941),f937(f936(x46942,x46942),a925),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f330(f330(f8(f937(f937(x46942,x46941),f937(f936(x46942,x46942),a925)),f937(f937(x46942,x46941),f937(f937(f936(x46942,x46942),a925),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f937(f936(x46941,x46941),a925)),f330(f8(f937(f936(x46942,x46942),a925),f937(f937(f936(x46942,x46942),a925),f936(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925))),f937(x46942,x46941)),f256(f937(f936(x46942,x46942),a925),f937(f936(x46942,x46942),a925)))),f291(x46941,x46942))))),f291(x46941,x46942))),f75(x46941,x46942)) % 242.40/242.47 [4767]~E(f330(f311(x47671),x47672),f191(f937(f937(x47671,a925),a925))) % 242.40/242.47 [4778]~P1(f330(f330(f175(x47781),f116(x47781)),x47782)) % 242.40/242.47 [4782]~P1(f330(f330(f332(x47821),x47822),f191(f937(x47821,a925)))) % 242.40/242.47 [4790]~P1(f330(f330(f240(f937(x47901,a925)),x47902),f191(f937(x47901,a925)))) % 242.40/242.47 [3616]E(f330(f330(f23(a930),x36161),f330(f330(f82(a930),x36161),x36162)),f2(a930)) % 242.40/242.47 [3619]E(f330(f330(f113(f937(x36191,a925)),x36192),x36192),x36192) % 242.40/242.47 [3620]E(f330(f330(f104(f937(x36201,a925)),x36202),x36202),x36202) % 242.40/242.47 [3648]E(f330(f330(f23(f937(x36481,a925)),x36482),x36482),f191(f937(x36481,a925))) % 242.40/242.47 [3651]E(f330(f146(x36511,x36512),f2(a930)),f191(f937(f936(f931(x36511),f931(x36511)),a925))) % 242.40/242.47 [3652]E(f330(f330(f82(a930),x36521),f330(a115,x36522)),f330(a115,f330(f330(f82(a930),x36521),x36522))) % 242.40/242.47 [3664]E(f198(f330(f103(a1),x36641),f330(f103(a1),x36642)),f330(f103(a1),f330(f330(f23(a930),x36641),x36642))) % 242.40/242.47 [3667]E(f330(f330(f38(a1),f330(f81(a1),x36671)),x36672),f330(f330(f38(a1),x36671),f330(f81(a1),x36672))) % 242.40/242.47 [3671]E(f330(f37(a1),f330(f305(a1,x36711),x36712)),f330(a107,f330(f330(f23(a1),x36712),x36711))) % 242.40/242.47 [3674]E(f330(f330(f82(a930),f330(a115,x36741)),x36742),f330(a115,f330(f330(f82(a930),x36741),x36742))) % 242.40/242.47 [3677]E(f330(f81(f937(x36771,a925)),f330(f81(f937(x36771,a925)),x36772)),x36772) % 242.40/242.47 [3690]E(f182(x36901,f330(f330(f154(f931(x36901)),f116(x36901)),x36902)),f182(x36901,x36902)) % 242.40/242.47 [3694]E(f330(f330(f82(a930),x36941),f330(f330(f83(a930),x36941),x36942)),f330(f330(f83(a930),x36941),f330(a115,x36942))) % 242.40/242.47 [3701]E(f330(f330(a24,f330(a3,x37011)),f330(a3,x37012)),f330(a3,f330(f330(f23(a930),x37011),x37012))) % 242.40/242.47 [3715]E(f330(f330(f83(a1),f330(f81(a1),x37151)),x37152),f330(f81(a1),f330(f330(f83(a1),x37151),x37152))) % 242.40/242.47 [3717]E(f330(f330(f248(a1),f330(f103(a1),x37171)),x37172),f330(f103(a1),f330(f330(f248(a930),x37171),x37172))) % 242.40/242.47 [3718]E(f330(f330(f82(a102),f330(a3,x37181)),f330(a3,x37182)),f330(a3,f330(f330(f82(a930),x37181),x37182))) % 242.40/242.47 [3719]E(f330(f330(f237(a930),f330(a115,x37191)),f330(a115,x37192)),f330(a115,f330(f330(f237(a930),x37191),x37192))) % 242.40/242.47 [3720]E(f330(f330(f238(a930),f330(a115,x37201)),f330(a115,x37202)),f330(a115,f330(f330(f238(a930),x37201),x37202))) % 242.40/242.47 [3721]E(f330(f330(f83(a102),f330(a3,x37211)),f330(a3,x37212)),f330(a3,f330(f330(f83(a930),x37211),x37212))) % 242.40/242.47 [3726]E(f330(f175(a930),f142(a930,f330(f305(a930,x37261),x37262))),f330(f305(a930,x37261),x37262)) % 242.40/242.47 [3727]E(f315(x37271,f330(f330(f312(x37271),x37272),f191(f937(x37271,a925)))),x37272) % 242.40/242.47 [3731]E(f330(f288(x37311,x37312),f191(f937(f936(x37311,x37312),a925))),f191(f937(x37312,a925))) % 242.40/242.47 [3732]E(f330(f268(x37321,x37322),f191(f937(f936(x37321,x37322),a925))),f191(f937(x37321,a925))) % 242.40/242.47 [3736]E(f330(a107,f330(f330(f23(a1),x37361),x37362)),f330(f37(a1),f308(a1,x37362,x37361))) % 242.40/242.47 [3741]E(f330(f330(f82(a930),x37411),f330(f330(f83(a930),x37412),x37411)),f330(f330(f83(a930),f330(a115,x37412)),x37411)) % 242.40/242.47 [3743]E(f330(f330(f62(x37431),f191(f937(x37431,a925))),x37432),f191(f937(f937(x37431,a925),a925))) % 242.40/242.47 [3752]E(f330(f192(f931(a930)),f142(a930,f330(f305(a930,x37521),x37522))),f330(f330(f23(a930),x37522),x37521)) % 242.40/242.47 [3769]E(f330(f330(f113(f937(x37691,a925)),f191(f937(x37691,a925))),x37692),x37692) % 242.40/242.47 [3770]E(f330(f330(f104(f937(x37701,a925)),f246(f937(x37701,a925))),x37702),x37702) % 242.40/242.47 [3771]E(f330(f330(f82(a1),f330(f81(a1),x37711)),f330(f81(a1),x37712)),f330(f81(a1),f330(f330(f82(a1),x37711),x37712))) % 242.40/242.47 [3776]E(f330(f330(f82(a1),f330(f103(a1),x37761)),f330(f103(a1),x37762)),f330(f103(a1),f330(f330(f82(a930),x37761),x37762))) % 242.40/242.47 [3777]E(f330(f330(f82(a1),f330(f106(a1),x37771)),f330(f106(a1),x37772)),f330(f106(a1),f330(f330(f82(a1),x37771),x37772))) % 242.40/242.47 [3779]E(f330(f330(f83(a1),f330(f103(a1),x37791)),f330(f103(a1),x37792)),f330(f103(a1),f330(f330(f83(a930),x37791),x37792))) % 242.40/242.47 [3780]E(f330(f330(f83(a1),f330(f106(a1),x37801)),f330(f106(a1),x37802)),f330(f106(a1),f330(f330(f83(a1),x37801),x37802))) % 242.40/242.47 [3781]E(f330(f330(f38(a1),f330(f103(a1),x37811)),f330(f103(a1),x37812)),f330(f103(a1),f330(f330(f38(a930),x37811),x37812))) % 242.40/242.47 [3800]E(f330(f330(f6(x38001,a930),f330(f16(a930,x38001),f80(a930))),x38002),f330(f37(x38001),x38002)) % 242.40/242.47 [3807]E(f330(f81(a1),f47(a1,f330(f81(a1),x38071),x38072)),f47(a1,x38071,f330(f81(a1),x38072))) % 242.40/242.47 [3809]E(f330(f175(a1),f181(x38091,f330(f330(f23(a1),x38092),f80(a1)))),f330(f305(a1,x38091),x38092)) % 242.40/242.47 [3813]P1(f330(f330(f239(a930),x38131),f330(f330(f82(a930),x38132),x38131))) % 242.40/242.47 [3814]P1(f330(f330(f239(a930),x38141),f330(f330(f82(a930),x38141),x38142))) % 242.40/242.47 [3817]E(f330(f330(f113(f937(x38171,a925)),f246(f937(x38171,a925))),x38172),f246(f937(x38171,a925))) % 242.40/242.47 [3818]E(f330(f330(f23(f937(x38181,a925)),f191(f937(x38181,a925))),x38182),f191(f937(x38181,a925))) % 242.40/242.47 [3819]E(f330(f330(f104(f937(x38191,a925)),f191(f937(x38191,a925))),x38192),f191(f937(x38191,a925))) % 242.40/242.47 [3826]E(f330(f330(f256(a1,a1),x38261),f330(f81(a1),x38262)),f330(a53,f330(f330(f256(a1,a1),x38261),x38262))) % 242.40/242.47 [3827]E(f330(f305(a1,f330(f330(f82(a1),x38271),f80(a1))),x38272),f309(a1,x38271,x38272)) % 242.40/242.47 [3838]E(f330(f330(f83(a930),x38381),f330(f330(f38(a930),x38382),x38381)),f330(f330(f23(a930),x38382),f47(a930,x38382,x38381))) % 242.40/242.47 [3839]E(f330(f330(f83(a1),x38391),f330(f330(f38(a1),x38392),x38391)),f330(f330(f23(a1),x38392),f47(a1,x38392,x38391))) % 242.40/242.47 [3843]E(f330(f175(a1),f181(f330(f330(f82(a1),x38431),f80(a1)),x38432)),f308(a1,x38431,x38432)) % 242.40/242.47 [3847]P1(f330(f330(f239(f937(x38471,a925)),x38472),x38472)) % 242.40/242.47 [3850]E(f330(f330(f113(f937(x38501,a925)),x38502),f330(f81(f937(x38501,a925)),x38502)),f246(f937(x38501,a925))) % 242.40/242.47 [3851]E(f330(f330(f104(f937(x38511,a925)),x38512),f330(f81(f937(x38511,a925)),x38512)),f191(f937(x38511,a925))) % 242.40/242.47 [3859]E(f330(f330(f23(a930),f330(f330(f23(a930),x38591),f80(a930))),x38592),f330(f330(f23(a930),x38591),f330(a115,x38592))) % 242.40/242.47 [3865]E(f330(f330(f23(f937(x38651,a925)),f246(f937(x38651,a925))),x38652),f330(f81(f937(x38651,a925)),x38652)) % 242.40/242.47 [3866]E(f330(f330(f23(a1),f330(f106(a1),x38661)),f330(f106(a1),x38662)),f330(f106(a1),f330(f330(f82(a1),x38661),f330(f81(a1),x38662)))) % 242.40/242.47 [3879]E(f330(f175(a930),f142(a930,f330(f305(a930,x38791),f330(a115,x38792)))),f306(a930,x38791,x38792)) % 242.40/242.47 [3894]E(f330(f192(f931(f931(x38941))),f56(x38941,x38942)),f330(f330(f248(a930),f330(a115,f330(a115,f2(a930)))),f330(f192(f931(x38941)),x38942))) % 242.40/242.47 [3913]E(f330(f330(f186(f936(x39131,x39131),a925),f2(a930)),x39132),f310(x39131,f191(f937(f936(x39131,x39131),a925)))) % 242.40/242.47 [3917]P1(f330(f140(a930),f142(a930,f330(f305(a930,x39171),x39172)))) % 242.40/242.47 [3934]E(f330(f313(a1,a930,a107),f306(a1,f330(f103(a1),x39341),f330(f103(a1),x39342))),f306(a930,x39341,x39342)) % 242.40/242.47 [3943]E(f188(a930,f2(a930),f5(a930),f330(f330(f23(a930),x39431),x39432)),f330(f330(f23(a930),x39431),f330(a115,x39432))) % 242.40/242.47 [3944]E(f330(a107,f330(f330(f23(a1),x39441),f330(f330(f82(a1),x39442),f80(a1)))),f330(f37(a1),f309(a1,x39442,x39441))) % 242.40/242.47 [3980]E(f330(f330(f157(a930,a930),a115),f142(a930,f330(f305(a930,x39801),x39802))),f142(a930,f330(f305(a930,f330(a115,x39801)),f330(a115,x39802)))) % 242.40/242.47 [3988]E(f330(f175(a1),f181(f330(f330(f82(a1),x39881),f80(a1)),f330(f330(f23(a1),x39882),f80(a1)))),f309(a1,x39881,x39882)) % 242.40/242.47 [4000]P1(f330(f330(f239(f937(x40001,a925)),f191(f937(x40001,a925))),x40002)) % 242.40/242.47 [4004]E(f87(x40041,f330(f330(f7(x40041,x40041,a925),a327),x40042)),x40042) % 242.40/242.47 [4005]E(f92(x40051,f330(f330(f7(x40051,x40051,a925),a327),x40052)),x40052) % 242.40/242.47 [4009]E(f330(f175(a930),f142(a930,f330(f305(a930,f330(a115,x40091)),f330(a115,x40092)))),f308(a930,x40091,x40092)) % 242.40/242.47 [4035]E(f330(f330(f258(x40351,x40352),f246(f937(x40351,a925))),f330(f16(f937(x40352,a925),x40351),f246(f937(x40352,a925)))),f246(f937(f936(x40351,x40352),a925))) % 242.40/242.47 [4070]E(f330(f266(x40701),f330(f330(f8(a925,a925,x40701),a325),x40702)),f330(f81(f937(x40701,a925)),f330(f266(x40701),x40702))) % 242.40/242.47 [4073]E(f330(f266(x40731),f330(f330(f7(x40731,x40731,a925),a327),x40732)),f330(f330(f312(x40731),x40732),f191(f937(x40731,a925)))) % 242.40/242.47 [4080]E(f330(f330(f82(a1),f330(f330(f23(a1),x40801),x40802)),f330(f330(f23(a1),x40801),x40802)),f330(f330(f23(a1),f330(f330(f82(a1),x40801),x40801)),f330(f330(f82(a1),x40802),x40802))) % 242.40/242.47 [4081]E(f330(f330(f82(a1),f330(f330(f82(a1),x40811),x40811)),f330(f330(f82(a1),x40812),x40812)),f330(f330(f82(a1),f330(f330(f82(a1),x40811),x40812)),f330(f330(f82(a1),x40811),x40812))) % 242.40/242.47 [4097]P1(f330(f330(f239(a930),f330(f37(x40971),f330(f175(x40971),x40972))),f330(f192(f931(x40971)),x40972))) % 242.40/242.47 [4098]P1(f330(f330(f239(a930),f330(f192(f931(x40981)),f155(x40981,x40982))),f330(f192(f931(x40981)),x40982))) % 242.40/242.47 [4109]E(f330(f266(x41091),f330(f330(f7(x41091,f937(x41091,a925),a925),f332(x41091)),x41092)),x41092) % 242.40/242.47 [4123]E(f330(f330(f178(x41231),f330(f330(f23(a930),f330(f192(f931(x41231)),x41232)),f80(a930))),x41232),f117(x41231,x41232)) % 242.40/242.47 [4144]E(f188(a930,f2(a930),f330(f330(f8(a930,a930,a930),a115),f330(f237(a930),x41441)),x41442),f330(f330(f237(a930),f330(a115,x41441)),x41442)) % 242.40/242.47 [4149]E(f39(f937(x41491,a925),f330(f313(f937(f936(x41491,x41491),a925),f937(x41491,a925),f285(x41491)),x41492)),f330(f285(x41491),f39(f937(f936(x41491,x41491),a925),x41492))) % 242.40/242.47 [4150]E(f188(a930,f330(a115,x41501),f330(f330(f8(a930,a930,a930),a115),f330(f238(a930),x41501)),x41502),f330(f330(f238(a930),f330(a115,x41501)),x41502)) % 242.40/242.47 [4152]E(f330(f330(f256(a1,a1),f330(f330(f38(a1),f330(f77(a1),x41521)),f330(f77(a1),x41522))),f47(a1,f330(f77(a1),x41521),f330(f77(a1),x41522))),f55(x41521,x41522)) % 242.40/242.47 [4175]P1(f330(f330(f239(f937(f937(x41751,a925),a925)),x41752),f330(f311(x41751),f39(f937(x41751,a925),x41752)))) % 242.40/242.47 [4207]E(f330(f330(f41(x42071,f937(x42071,a925)),x42072),f330(f330(f7(x42071,f937(x42071,a925),f937(x42071,a925)),f312(x42071)),f191(f937(x42071,a925)))),x42072) % 242.40/242.47 [4208]E(f330(f330(f292(x42081,x42081,x42081),f330(f290(x42081,x42081),x42082)),f310(x42081,f330(f290(x42081,x42081),x42082))),f330(f290(x42081,x42081),f330(f330(f292(x42081,x42081,x42081),x42082),f310(x42081,x42082)))) % 242.40/242.47 [4274]E(f330(f175(x42741),f330(f145(f931(x42741),f931(x42741),f137(x42741),f116(x42741)),x42742)),f330(f330(f41(f931(x42741),f937(x42741,a925)),f330(f175(f931(x42741)),x42742)),f175(x42741))) % 242.40/242.47 [4305]E(f330(f330(f113(f937(f936(x43051,x43051),a925)),f310(x43051,f191(f937(f936(x43051,x43051),a925)))),f330(f330(f292(x43051,x43051,x43051),f310(x43051,x43052)),x43052)),f310(x43051,x43052)) % 242.40/242.47 [4341]E(f330(f330(f184(x43411,x43411),x43412),x43412),f330(f330(f157(x43411,f936(x43411,x43411)),f330(f330(f18(x43411,x43411,f936(x43411,x43411)),f256(x43411,x43411)),f5(x43411))),x43412)) % 242.40/242.47 [4453]E(f330(f145(a930,f931(x44531),f330(f7(f931(x44531),a930,a930),f330(f330(f8(a930,f937(a930,a930),f931(x44531)),f238(a930)),f192(f931(x44531)))),f2(a930)),f330(f171(f931(x44531)),x44532)),f330(f192(f931(f931(x44531))),f182(x44531,x44532))) % 242.40/242.47 [4525]E(f330(f330(f291(f936(a930,f931(x45251)),f931(x45251)),f323(a930,f931(x45251),a244,f148(x45251,x45252))),f330(f330(f18(f931(x45251),f931(x45251),f936(a930,f931(x45251))),f330(f330(f8(a930,f937(f931(x45251),f936(a930,f931(x45251))),f931(x45251)),f256(a930,f931(x45251))),f192(f931(x45251)))),f5(f931(x45251)))),f149(x45251,x45252)) % 242.40/242.47 [4652]E(f330(f266(x46521),f330(f330(f8(f937(f937(x46521,a925),a925),a925,x46521),f90(f937(x46521,a925))),f330(f330(f8(f937(f937(x46521,a925),a925),f937(f937(x46521,a925),a925),x46521),f330(f18(f937(x46521,a925),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x46521,a925)),a333),f330(f330(f7(f937(x46521,a925),f937(f937(x46521,a925),a925),a925),f332(f937(x46521,a925))),x46522)))),f332(x46521)))),f40(f937(x46521,a925),x46522)) % 242.40/242.47 [4653]E(f330(f266(x46531),f330(f330(f8(f937(f937(x46531,a925),a925),a925,x46531),f89(f937(x46531,a925))),f330(f330(f8(f937(f937(x46531,a925),a925),f937(f937(x46531,a925),a925),x46531),f330(f18(f937(x46531,a925),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x46531,a925)),a328),f330(f330(f7(f937(x46531,a925),f937(f937(x46531,a925),a925),a925),f332(f937(x46531,a925))),x46532)))),f332(x46531)))),f39(f937(x46531,a925),x46532)) % 242.40/242.47 [4791]~P1(f330(f330(f240(a1),f330(f103(a1),x47911)),f330(f81(a1),f330(f103(a1),x47912)))) % 242.40/242.47 [3739]E(f330(f330(f23(a930),f330(f330(f82(a930),x37391),x37392)),x37392),x37391) % 242.40/242.47 [3740]E(f330(f330(f23(a930),f330(f330(f82(a930),x37401),x37402)),x37401),x37402) % 242.40/242.47 [3808]E(f330(f330(f82(a930),f330(f330(f23(a930),x38081),x38082)),x38082),f330(f330(f238(a930),x38081),x38082)) % 242.40/242.47 [3920]E(f330(f330(f83(a930),f330(f330(f38(a930),x39201),x39202)),x39202),f330(f330(f23(a930),x39201),f47(a930,x39201,x39202))) % 242.40/242.47 [3948]E(f330(f175(a930),f142(a930,f330(f305(a930,f330(a115,x39481)),x39482))),f309(a930,x39481,x39482)) % 242.40/242.47 [3956]E(f330(f103(a1),f220(f330(a107,f330(f77(a1),x39561)),f330(a107,f330(f77(a1),x39562)))),f330(f330(a221,x39561),x39562)) % 242.40/242.47 [3958]E(f330(f330(f113(f937(x39581,a925)),f330(f81(f937(x39581,a925)),x39582)),x39582),f246(f937(x39581,a925))) % 242.40/242.47 [3959]E(f330(f330(f104(f937(x39591,a925)),f330(f81(f937(x39591,a925)),x39592)),x39592),f191(f937(x39591,a925))) % 242.40/242.47 [3976]P1(f330(f330(f239(a930),f330(f330(f23(a930),x39761),x39762)),x39761)) % 242.40/242.47 [3977]P1(f330(f330(f239(a930),f330(f330(f38(a930),x39771),x39772)),x39771)) % 242.40/242.47 [4001]P1(f330(f330(f240(a930),x40011),f330(a115,f330(f330(f82(a930),x40012),x40011)))) % 242.40/242.47 [4002]P1(f330(f330(f240(a930),x40021),f330(a115,f330(f330(f82(a930),x40021),x40022)))) % 242.40/242.47 [4019]E(f330(f330(f83(a930),f330(a107,f330(f77(a1),x40191))),f330(a107,f330(f77(a1),x40192))),f330(a107,f330(f77(a1),f330(f330(f83(a1),x40191),x40192)))) % 242.40/242.47 [4031]P1(f330(f330(f239(a1),f2(a1)),f330(f330(f248(a1),f330(f77(a1),x40311)),x40312))) % 242.40/242.47 [4102]E(f330(f289(f931(x41021),f931(x41021),f161(x41021,x41022)),f330(f330(f312(f931(x41021)),f116(x41021)),f191(f937(f931(x41021),a925)))),f330(f330(f312(f931(x41021)),f116(x41021)),f191(f937(f931(x41021),a925)))) % 242.40/242.47 [4121]E(f330(f330(f113(f937(f936(x41211,x41211),a925)),f310(x41211,x41212)),f310(x41211,f191(f937(f936(x41211,x41211),a925)))),f310(x41211,x41212)) % 242.40/242.47 [4134]E(f330(f330(f38(a1),f330(f106(a1),f330(f330(f82(a1),x41341),x41341))),f330(f106(a1),f330(f330(f82(a1),x41342),x41342))),f330(f330(f38(a1),f330(f106(a1),x41341)),f330(f106(a1),x41342))) % 242.40/242.47 [4197]E(f330(f330(f248(a1),x41971),f330(f106(a930),f330(f330(f82(a1),x41972),x41972))),f330(f330(f88(a1,a1),f330(f330(f248(a1),x41971),f330(f106(a930),x41972))),f330(f330(f18(a1,a1,a1),f83(a1)),f5(a1)))) % 242.40/242.47 [4203]E(f330(f266(f937(x42031,a925)),f330(f330(f7(f937(x42031,a925),f937(x42031,a925),a925),f239(f937(x42031,a925))),x42032)),f330(f311(x42031),x42032)) % 242.40/242.47 [4219]E(f330(f330(f157(a1,a930),a107),f330(f330(f137(a1),f330(f330(f157(a930,a1),f103(a1)),x42191)),f330(f330(f157(a930,a1),f103(a1)),x42192))),f330(f330(f137(a930),x42191),x42192)) % 242.40/242.47 [4252]E(f330(f313(a1,a1,f330(f330(f7(a1,a1,a1),f82(a1)),x42521)),f330(f305(a1,f2(a1)),f330(f330(f23(a1),x42522),x42521))),f330(f305(a1,x42521),x42522)) % 242.40/242.47 [4254]P60(x42541,f330(f330(f23(f937(f936(x42541,x42541),a925)),x42542),f310(x42541,f191(f937(f936(x42541,x42541),a925))))) % 242.40/242.47 [4272]E(f330(f192(f931(x42721)),f330(f145(f931(x42721),f931(x42721),f137(x42721),f116(x42721)),x42722)),f330(f168(a930),f330(f330(f157(f931(x42721),a930),f192(f931(x42721))),x42722))) % 242.40/242.47 [4276]P59(x42761,f246(f937(x42761,a925)),f330(f330(f113(f937(f936(x42761,x42761),a925)),x42762),f310(x42761,f191(f937(f936(x42761,x42761),a925))))) % 242.40/242.47 [4321]E(f188(a930,f2(a930),f330(f330(f8(a930,a930,a930),a115),f330(f330(f7(a930,a930,a930),f237(a930)),x43211)),x43212),f330(f330(f237(a930),x43212),f330(a115,x43211))) % 242.40/242.47 [4324]E(f188(a930,f330(a115,x43241),f330(f330(f8(a930,a930,a930),a115),f330(f330(f7(a930,a930,a930),f238(a930)),x43241)),x43242),f330(f330(f238(a930),x43242),f330(a115,x43241))) % 242.40/242.47 [4327]E(f330(f313(x43271,f931(x43271),f330(f330(f7(x43271,f931(x43271),f931(x43271)),f154(x43271)),f116(x43271))),x43272),f177(x43271,x43272,f330(f330(f312(f931(x43271)),f116(x43271)),f191(f937(f931(x43271),a925))))) % 242.40/242.47 [4329]E(f330(f330(f113(f937(f936(x43291,x43291),a925)),f330(f330(f292(x43291,x43291,x43291),x43292),f310(x43291,x43292))),f310(x43291,f191(f937(f936(x43291,x43291),a925)))),f310(x43291,x43292)) % 242.40/242.47 [4336]P1(f330(f330(f239(f937(f936(x43361,x43361),a925)),f267(x43361,x43362)),f330(f330(f258(x43361,x43361),x43362),f330(f16(f937(x43361,a925),x43361),x43362)))) % 242.40/242.47 [4339]E(f330(f313(a1,a930,a107),f330(f330(f113(f937(a1,a925)),f330(f313(a930,a1,f103(a1)),x43391)),f330(f313(a930,a1,f103(a1)),x43392))),f330(f330(f113(f937(a930,a925)),x43391),x43392)) % 242.40/242.47 [4340]E(f330(f313(a1,a930,a107),f330(f330(f104(f937(a1,a925)),f330(f313(a930,a1,f103(a1)),x43401)),f330(f313(a930,a1,f103(a1)),x43402))),f330(f330(f104(f937(a930,a925)),x43401),x43402)) % 242.40/242.47 [4343]E(f330(f266(x43431),f330(f330(f8(a925,a925,x43431),a325),f330(f330(f7(x43431,f937(x43431,a925),a925),f332(x43431)),x43432))),f330(f81(f937(x43431,a925)),x43432)) % 242.40/242.47 [4370]E(f330(f145(f931(x43701),f931(x43701),f137(x43701),f116(x43701)),f330(f330(f157(f931(x43701),f931(x43701)),f171(x43701)),f330(f171(f931(x43701)),x43702))),f330(f171(x43701),f330(f145(f931(x43701),f931(x43701),f137(x43701),f116(x43701)),x43702))) % 242.40/242.47 [4396]E(f330(f330(f41(a930,f937(f936(x43961,x43961),a925)),f246(f937(a930,a925))),f330(f330(f7(a930,f937(f936(x43961,x43961),a925),f937(f936(x43961,x43961),a925)),f186(f936(x43961,x43961),a925)),x43962)),f310(x43961,x43962)) % 242.40/242.47 [4414]E(f87(x44141,f330(f330(f8(f937(x44141,a925),a925,x44141),f330(a327,x44142)),f330(f330(f7(x44141,f937(x44141,a925),f937(x44141,a925)),f312(x44141)),f191(f937(x44141,a925))))),f315(x44141,x44142)) % 242.40/242.47 [4422]E(f330(f192(f931(x44221)),f155(x44221,f330(f145(f931(x44221),f931(x44221),f137(x44221),f116(x44221)),x44222))),f330(f37(x44221),f330(f330(f41(f931(x44221),f937(x44221,a925)),f330(f175(f931(x44221)),x44222)),f175(x44221)))) % 242.40/242.47 [4436]E(f330(f330(f113(f937(f936(x44361,x44361),a925)),x44362),f330(f330(f292(x44361,x44361,x44361),f330(f330(f292(x44361,x44361,x44361),x44362),f310(x44361,x44362))),x44362)),f330(f330(f292(x44361,x44361,x44361),x44362),f310(x44361,x44362))) % 242.40/242.47 [4461]P1(f330(f330(f239(f937(f936(x44611,x44611),a925)),f330(f330(f292(x44611,x44611,x44611),x44612),f310(x44611,x44612))),f330(f330(f258(x44611,x44611),f330(f285(x44611),x44612)),f330(f16(f937(x44611,a925),x44611),f330(f285(x44611),x44612))))) % 242.40/242.47 [4502]E(f330(f266(f931(x45021)),f330(f330(f7(f931(x45021),f937(x45021,a925),a925),f330(f330(f8(f937(x45021,a925),f937(f937(x45021,a925),a925),f931(x45021)),f239(f937(x45021,a925))),f175(x45021))),x45022)),f164(x45021,x45022)) % 242.40/242.47 [4513]E(f330(f159(f931(x45131),x45131,f116(x45131),f330(f330(f8(f931(x45131),f937(f931(x45131),f931(x45131)),x45131),f330(f7(f931(x45131),f931(x45131),f931(x45131)),f137(x45131))),f330(f330(f7(x45131,f931(x45131),f931(x45131)),f154(x45131)),f116(x45131)))),x45132),f330(f170(x45131),x45132)) % 242.40/242.47 [4553]P28(f937(x45531,x45532),f937(f936(x45531,x45532),a925),f330(f330(f8(f937(f936(x45531,x45532),a925),f937(f936(x45531,x45532),a925),f937(x45531,x45532)),f266(f936(x45531,x45532))),f330(f330(f8(f937(x45531,f937(x45532,a925)),f937(f936(x45531,x45532),a925),f937(x45531,x45532)),f261(x45531,x45532,a925)),f330(f8(x45532,f937(x45532,a925),x45531),f330(f7(x45532,x45532,a925),a327)))),f246(f937(f937(x45531,x45532),a925))) % 242.40/242.47 [4558]E(f47(a1,f330(f106(a1),f330(f330(f82(a1),x45581),x45581)),f330(f106(a1),f330(f330(f82(a1),x45582),x45582))),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f47(a1,f330(f106(a1),x45581),f330(f106(a1),x45582)))) % 242.40/242.47 [4602]E(f330(f330(f41(x46021,f937(f936(x46021,x46021),a925)),x46022),f330(f330(f7(x46021,f937(f936(x46021,x46021),a925),f937(f936(x46021,x46021),a925)),f330(f330(f8(f936(x46021,x46021),f937(f937(f936(x46021,x46021),a925),f937(f936(x46021,x46021),a925)),x46021),f312(f936(x46021,x46021))),f330(f330(f18(x46021,x46021,f936(x46021,x46021)),f256(x46021,x46021)),f5(x46021)))),f191(f937(f936(x46021,x46021),a925)))),f267(x46021,x46022)) % 242.40/242.47 [4610]E(f206(x46101,f330(f330(f256(a1,a1),f330(f81(a1),f330(f330(f74(f936(a1,a1),a1,x46101,f255(a1,a1)),f216(x46101)),x46102))),f330(f330(f74(f936(a1,a1),a1,x46101,f260(a1,a1)),f216(x46101)),x46102))),f231(x46101,x46102)) % 242.40/242.47 [4691]E(f330(f266(f937(x46911,a925)),f330(f330(f8(f937(f937(x46911,a925),a925),a925,f937(x46911,a925)),f89(f937(x46911,a925))),f330(f330(f7(f937(x46911,a925),f937(f937(x46911,a925),a925),f937(f937(x46911,a925),a925)),f330(f330(f8(f937(f937(x46911,a925),f937(a925,a925)),f937(f937(f937(x46911,a925),a925),f937(f937(x46911,a925),a925)),f937(x46911,a925)),f18(f937(x46911,a925),a925,a925)),f330(f330(f8(f937(f937(x46911,a925),a925),f937(f937(x46911,a925),f937(a925,a925)),f937(x46911,a925)),f330(f8(a925,f937(a925,a925),f937(x46911,a925)),a328)),f330(f330(f7(f937(x46911,a925),f937(f937(x46911,a925),f937(x46911,a925)),f937(f937(x46911,a925),a925)),f330(f330(f8(f937(f937(x46911,a925),a925),f937(f937(f937(x46911,a925),f937(x46911,a925)),f937(f937(x46911,a925),a925)),f937(x46911,a925)),f8(f937(x46911,a925),a925,f937(x46911,a925))),a327)),f81(f937(x46911,a925)))))),f330(f330(f8(f937(f937(x46911,a925),a925),a925,f937(x46911,a925)),f330(f332(f937(x46911,a925)),x46912)),f311(x46911))))),f330(f311(x46911),f330(f81(f937(x46911,a925)),x46912))) % 242.40/242.47 [4789]~E(f330(f330(f82(a1),x47891),x47891),f330(f330(f23(a1),f330(f330(f82(a1),x47892),x47892)),a100)) % 242.40/242.47 [4793]~P1(f330(f330(f240(a930),f330(f330(f82(a930),x47931),x47932)),x47932)) % 242.40/242.47 [4794]~P1(f330(f330(f240(a930),f330(f330(f82(a930),x47941),x47942)),x47941)) % 242.40/242.47 [4036]E(f330(f330(f23(a930),x40361),f330(f330(f83(a930),f330(f330(f38(a930),x40361),x40362)),x40362)),f47(a930,x40361,x40362)) % 242.40/242.47 [4037]E(f330(f330(f23(a1),x40371),f330(f330(f83(a1),f330(f330(f38(a1),x40371),x40372)),x40372)),f47(a1,x40371,x40372)) % 242.40/242.47 [4071]E(f330(f330(f157(a930,x40711),f330(f167(x40711),x40712)),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(x40711)),x40712)))),x40712) % 242.40/242.47 [4130]E(f330(f289(x41301,x41301,f310(x41301,f191(f937(f936(x41301,x41301),a925)))),x41302),x41302) % 242.40/242.47 [4257]E(f310(x42571,f330(f330(f113(f937(f936(x42571,x42571),a925)),x42572),f310(x42571,f191(f937(f936(x42571,x42571),a925))))),f310(x42571,x42572)) % 242.40/242.47 [4258]E(f310(x42581,f330(f330(f23(f937(f936(x42581,x42581),a925)),x42582),f310(x42581,f191(f937(f936(x42581,x42581),a925))))),f310(x42581,x42582)) % 242.40/242.47 [4308]E(f330(f330(f23(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43081),x43081)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x43082),x43082)),a100)),f330(f330(f82(a1),f330(f330(f23(a1),x43081),x43082)),f330(f330(f23(a1),x43081),x43082))) % 242.40/242.47 [4348]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),x43481),x43482)),f330(f330(f82(a1),x43481),x43482))),a100),f330(f330(f82(a1),f330(f330(f82(a1),x43481),x43481)),f330(f330(f23(a1),f330(f330(f82(a1),x43482),x43482)),a100))) % 242.40/242.47 [4373]E(f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43731),x43731)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x43732),x43732)),a100)),f330(f330(f82(a1),f330(f330(f82(a1),x43731),f330(f330(f23(a1),x43732),a100))),f330(f330(f82(a1),x43731),f330(f330(f23(a1),x43732),a100)))) % 242.40/242.47 [4384]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),x43841),x43842)),f330(f330(f23(a1),x43841),x43842))),a100),f330(f330(f23(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43841),x43841)),a100)),f330(f330(f82(a1),x43842),x43842))) % 242.40/242.47 [4385]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f82(a1),x43851),x43852)),f330(f330(f82(a1),x43851),x43852))),a100),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43851),x43851)),a100)),f330(f330(f82(a1),x43852),x43852))) % 242.40/242.47 [4433]E(f330(f103(a1),f330(f330(f38(a930),f330(f330(f83(a930),f330(a107,f330(f77(a1),x44331))),f330(a107,f330(f77(a1),x44332)))),f220(f330(a107,f330(f77(a1),x44331)),f330(a107,f330(f77(a1),x44332))))),f222(x44331,x44332)) % 242.40/242.47 [4479]E(f330(f330(f263(f936(a102,a102),a102,f936(a102,a102),f936(x44791,f936(a102,a102))),f271(f330(a3,f330(f192(f931(x44791)),x44792)))),f330(f330(f8(x44791,f937(f936(a102,a102),f936(x44791,f936(a102,a102))),a102),f256(x44791,f936(a102,a102))),f330(f330(f8(a930,x44791,a102),f330(f167(x44791),x44792)),a20))),f279(x44791,x44792)) % 242.40/242.47 [4559]E(f330(f145(a930,f931(x45591),f330(f7(f931(x45591),a930,a930),f330(f330(f8(a930,f937(a930,a930),f931(x45591)),f238(a930)),f192(f931(x45591)))),f2(a930)),f330(f171(f931(x45591)),f182(x45591,x45592))),f330(f192(f931(f931(x45591))),f330(f139(f931(x45591),f330(f330(f8(a925,a925,f931(x45591)),a325),f330(f330(f7(f931(x45591),f931(x45591),a925),a327),f116(x45591)))),x45592))) % 242.40/242.47 [4565]E(f330(f330(f41(a930,f937(x45651,a925)),f246(f937(a930,a925))),f330(f330(f7(a930,f937(a930,f937(x45651,a925)),f937(x45651,a925)),f330(f330(f8(f937(a930,a925),f937(f937(a930,f937(x45651,a925)),f937(x45651,a925)),a930),f41(a930,f937(x45651,a925))),f305(a930,f2(a930)))),x45652)),f330(f330(f41(a930,f937(x45651,a925)),f246(f937(a930,a925))),x45652)) % 242.40/242.47 [4587]P1(f330(f63(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),x45871)),f330(f330(f7(a930,a930,a925),f240(a930)),x45872))))) % 242.40/242.47 [4699]E(f330(f266(f936(f931(x46991),f931(x46991))),f330(f261(f931(x46991),f931(x46991),a925),f330(f330(f18(f931(x46991),f937(f931(x46991),a925),f937(f931(x46991),a925)),f330(f330(f8(f937(f931(x46991),f937(a925,a925)),f937(f937(f931(x46991),a925),f937(f931(x46991),a925)),f931(x46991)),f18(f931(x46991),a925,a925)),f330(f330(f8(f937(f931(x46991),a925),f937(f931(x46991),f937(a925,a925)),f931(x46991)),f330(f8(a925,f937(a925,a925),f931(x46991)),a329)),f330(f330(f7(f931(x46991),f937(f931(x46991),a930),f937(f931(x46991),a925)),f330(f330(f8(f937(a930,a925),f937(f937(f931(x46991),a930),f937(f931(x46991),a925)),f931(x46991)),f8(a930,a925,f931(x46991))),f330(f330(f8(a930,f937(a930,a925),f931(x46991)),f240(a930)),f192(f931(x46991))))),f192(f931(x46991)))))),f330(f330(f18(f931(x46991),f937(f931(x46991),a925),f937(f931(x46991),a925)),f330(f330(f8(f937(f931(x46991),f937(a925,a925)),f937(f937(f931(x46991),a925),f937(f931(x46991),a925)),f931(x46991)),f18(f931(x46991),a925,a925)),f330(f330(f8(f937(f931(x46991),a925),f937(f931(x46991),f937(a925,a925)),f931(x46991)),f330(f8(a925,f937(a925,a925),f931(x46991)),a328)),f330(f330(f7(f931(x46991),f937(f931(x46991),a930),f937(f931(x46991),a925)),f330(f330(f8(f937(a930,a925),f937(f937(f931(x46991),a930),f937(f931(x46991),a925)),f931(x46991)),f8(a930,a925,f931(x46991))),f330(f330(f8(a930,f937(a930,a925),f931(x46991)),a327),f192(f931(x46991))))),f192(f931(x46991)))))),f330(f330(f7(f931(x46991),f937(f936(f931(x46991),f931(x46991)),a925),f937(f931(x46991),a925)),f330(f330(f8(f937(f931(x46991),f937(f937(f936(f931(x46991),f931(x46991)),a925),a925)),f937(f937(f936(f931(x46991),f931(x46991)),a925),f937(f931(x46991),a925)),f931(x46991)),f7(f931(x46991),f937(f936(f931(x46991),f931(x46991)),a925),a925)),f330(f330(f8(f937(f931(x46991),f936(f931(x46991),f931(x46991))),f937(f931(x46991),f937(f937(f936(f931(x46991),f931(x46991)),a925),a925)),f931(x46991)),f330(f8(f936(f931(x46991),f931(x46991)),f937(f937(f936(f931(x46991),f931(x46991)),a925),a925),f931(x46991)),f332(f936(f931(x46991),f931(x46991))))),f256(f931(x46991),f931(x46991))))),f148(x46991,x46992)))))),f149(x46991,x46992)) % 242.40/242.47 [4376]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f83(a1),x43761),x43762)),f330(f330(f83(a1),x43761),x43762))),x43762),f330(f330(f83(a1),f330(f330(f23(a1),f330(f330(f82(a1),x43761),x43761)),a100)),x43762)) % 242.40/242.47 [4478]E(f330(a107,f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x44781),x44782)),f191(f937(f936(a930,a930),a925)))))),f330(f330(f23(a930),x44781),x44782)) % 242.40/242.47 [4482]E(f330(f330(f292(x44821,x44821,x44821),f330(f330(f113(f937(f936(x44821,x44821),a925)),x44822),f310(x44821,f191(f937(f936(x44821,x44821),a925))))),f310(x44821,f330(f330(f113(f937(f936(x44821,x44821),a925)),x44822),f310(x44821,f191(f937(f936(x44821,x44821),a925)))))),f310(x44821,x44822)) % 242.40/242.47 [4519]E(f272(x45191,f330(f139(f936(a102,x45191),f330(f261(a102,x45191,a925),f330(f330(f8(a925,f937(x45191,a925),a102),f16(a925,x45191)),f330(f240(a102),f2(a102))))),x45192)),f272(x45191,x45192)) % 242.40/242.47 [4520]E(f270(x45201,f330(f139(f936(a102,x45201),f330(f261(a102,x45201,a925),f330(f330(f8(a925,f937(x45201,a925),a102),f16(a925,x45201)),f330(f240(a102),f2(a102))))),x45202)),f270(x45201,x45202)) % 242.40/242.47 [4522]E(f330(f81(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x45221),x45222)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x45222),x45221)),f191(f937(f936(a930,a930),a925)))))) % 242.40/242.47 [4578]E(f330(f330(f291(f931(a930),x45781),f148(a930,a244)),f330(f330(f7(x45781,f931(f937(x45781,a930)),f931(a930)),f330(f330(f8(f937(f937(x45781,a930),a930),f937(f931(f937(x45781,a930)),f931(a930)),x45781),f157(f937(x45781,a930),a930)),f330(f7(f937(x45781,a930),x45781,a930),f5(f937(x45781,a930))))),x45782)),f156(x45781,x45782)) % 242.40/242.47 [4599]E(f330(f330(f88(a1,a930),f330(f106(a1),f330(f330(f82(a1),x45991),a100))),f330(f330(f18(a1,a930,a930),f330(f330(f7(a1,a930,f937(a930,a930)),f330(f330(f8(a925,f937(a930,f937(a930,a930)),a1),f99(a930)),a196)),f2(a930))),f330(f330(f8(a930,a930,a1),a115),f330(f330(f8(a930,a930,a1),f330(f237(a930),x45992)),a107)))),f330(f330(f237(a930),f330(a115,x45992)),f330(f106(a930),x45991))) % 242.40/242.47 [4600]E(f330(f330(f88(a1,a930),f330(f106(a1),f330(f330(f82(a1),x46001),a100))),f330(f330(f18(a1,a930,a930),f330(f330(f7(a1,a930,f937(a930,a930)),f330(f330(f8(a925,f937(a930,f937(a930,a930)),a1),f99(a930)),a196)),f330(a115,x46002))),f330(f330(f8(a930,a930,a1),a115),f330(f330(f8(a930,a930,a1),f330(f238(a930),x46002)),a107)))),f330(f330(f238(a930),f330(a115,x46002)),f330(f106(a930),x46001))) % 242.40/242.47 [4620]E(f330(f145(f931(x46201),f931(x46201),f137(x46201),f116(x46201)),f330(f330(f157(f931(x46201),f931(x46201)),f159(f931(x46201),x46201,f116(x46201),f330(f330(f8(f931(x46201),f937(f931(x46201),f931(x46201)),x46201),f16(f931(x46201),f931(x46201))),f330(f330(f7(x46201,f931(x46201),f931(x46201)),f154(x46201)),f116(x46201))))),x46202)),f330(f330(f157(f931(x46201),x46201),f144(x46201)),f330(f139(f931(x46201),f330(f330(f8(a925,a925,f931(x46201)),a325),f330(f330(f7(f931(x46201),f931(x46201),a925),a327),f116(x46201)))),x46202))) % 242.40/242.47 [4682]E(f330(f261(a1,a1,a925),f330(f330(f7(a1,f937(a1,a925),f937(a1,a925)),f330(f330(f8(f937(a1,f937(a925,a925)),f937(f937(a1,a925),f937(a1,a925)),a1),f18(a1,a925,a925)),f330(f330(f8(f937(a1,a925),f937(a1,f937(a925,a925)),a1),f330(f8(a925,f937(a925,a925),a1),a328)),f330(f330(f8(f937(a1,a1),f937(a1,a925),a1),f330(f8(a1,a925,a1),f330(a327,x46821))),f330(f330(f8(a1,f937(a1,a1),a1),f82(a1)),f330(f83(a1),x46822)))))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),f330(a333,f330(f330(f240(a1),f2(a1)),x46822))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),f330(f330(f7(a1,a1,a925),f240(a1)),x46822))))),f330(f330(f8(a925,a925,a1),f330(a333,f330(a325,f330(f330(f240(a1),f2(a1)),x46822)))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f240(a1),x46822))),f330(f330(f7(a1,a1,a925),f239(a1)),f2(a1))))))),f51(x46821,x46822)) % 242.40/242.47 [4685]E(f330(f266(x46851),f330(f330(f8(f937(a930,a925),a925,x46851),f89(a930)),f330(f330(f7(x46851,f937(a930,a925),f937(a930,a925)),f330(f330(f8(f937(a930,f937(a925,a925)),f937(f937(a930,a925),f937(a930,a925)),x46851),f18(a930,a925,a925)),f330(f330(f8(f937(a930,a925),f937(a930,f937(a925,a925)),x46851),f330(f8(a925,f937(a925,a925),a930),a328)),f330(f330(f7(x46851,f937(a930,x46851),f937(a930,a925)),f330(f330(f8(f937(x46851,a925),f937(f937(a930,x46851),f937(a930,a925)),x46851),f8(x46851,a925,a930)),a327)),f330(f167(x46851),x46852))))),f330(f330(f7(a930,a930,a925),f240(a930)),f330(f192(f931(x46851)),x46852))))),f330(f175(x46851),x46852)) % 242.40/242.47 [4492]E(f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),x44921),a100)),x44922)),f330(f330(f23(a1),f330(f330(f82(a1),x44921),a100)),x44922))),a100),f330(f330(f23(a1),f330(f330(f82(a1),x44921),x44921)),f330(f330(f23(a1),f330(f330(f82(a1),x44922),x44922)),a100))) % 242.40/242.47 [4615]E(f330(f145(f931(f931(x46151)),f931(f931(x46151)),f137(f931(x46151)),f116(f931(x46151))),f330(f330(f157(f931(x46151),f931(f931(x46151))),f159(f931(f931(x46151)),x46151,f116(f931(x46151)),f330(f16(f937(f931(x46151),f931(f931(x46151))),x46151),f330(f330(f7(f931(x46151),f931(f931(x46151)),f931(f931(x46151))),f154(f931(x46151))),f116(f931(x46151)))))),x46152)),f330(f330(f157(f931(x46151),f931(x46151)),f174(x46151)),f330(f139(f931(x46151),f330(f330(f8(a925,a925,f931(x46151)),a325),f330(f330(f7(f931(x46151),f931(x46151),a925),a327),f116(x46151)))),x46152))) % 242.40/242.47 [4625]E(f330(f330(f88(a1,a930),f330(f106(a1),f330(f330(f82(a1),x46251),a100))),f330(f330(f18(a1,a930,a930),f330(f330(f7(a1,a930,f937(a930,a930)),f330(f330(f8(a925,f937(a930,f937(a930,a930)),a1),f99(a930)),a196)),f2(a930))),f330(f330(f8(a930,a930,a1),a115),f330(f330(f7(a1,a930,a930),f330(f330(f8(a930,f937(a930,a930),a1),f237(a930)),a107)),x46252)))),f330(f330(f237(a930),f330(f106(a930),x46251)),f330(a115,x46252))) % 242.40/242.47 [4626]E(f330(f330(f88(a1,a930),f330(f106(a1),f330(f330(f82(a1),x46261),a100))),f330(f330(f18(a1,a930,a930),f330(f330(f7(a1,a930,f937(a930,a930)),f330(f330(f8(a925,f937(a930,f937(a930,a930)),a1),f99(a930)),a196)),f330(a115,x46262))),f330(f330(f8(a930,a930,a1),a115),f330(f330(f7(a1,a930,a930),f330(f330(f8(a930,f937(a930,a930),a1),f238(a930)),a107)),x46262)))),f330(f330(f238(a930),f330(f106(a930),x46261)),f330(a115,x46262))) % 242.40/242.47 [4614]E(f330(f261(x46141,x46141,a925),f330(f330(f18(x46141,a925,f937(x46141,a925)),f330(f330(f8(f937(x46141,f937(a925,a925)),f937(a925,f937(x46141,a925)),x46141),f7(x46141,a925,a925)),f330(f330(f8(f937(x46141,a925),f937(x46141,f937(a925,a925)),x46141),f330(f8(a925,f937(a925,a925),x46141),a328)),a327))),x46142)),f267(x46141,x46142)) % 242.40/242.47 [4659]E(f330(f330(f38(a930),x46591),f330(f330(f82(a930),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46592)),f330(f330(f38(a930),x46591),f330(a115,f330(a115,f330(a115,x46592))))) % 242.40/242.47 [4660]E(f47(a930,x46601,f330(f330(f82(a930),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46602)),f47(a930,x46601,f330(a115,f330(a115,f330(a115,x46602))))) % 242.40/242.47 [4661]E(f47(a930,f330(f330(f82(a930),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46611),x46612),f47(a930,f330(a115,f330(a115,f330(a115,x46611))),x46612)) % 242.40/242.47 [4673]E(f126(f330(x46731,f330(f330(f83(a102),f330(f106(a102),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46732))),f330(f204(x46731),x46732)) % 242.40/242.47 [4674]E(f330(f330(f38(a930),f330(f330(f82(a930),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),x46741)),x46742),f330(f330(f38(a930),f330(a115,f330(a115,f330(a115,x46741)))),x46742)) % 242.40/242.47 [4721]~E(f32(x47211,x47212),f330(a26,x47213)) % 242.40/242.47 [4722]~E(f31(x47221,x47222),f330(a26,x47223)) % 242.40/242.47 [4723]~E(f330(a26,x47231),f32(x47232,x47233)) % 242.40/242.47 [4724]~E(f330(a26,x47241),f31(x47242,x47243)) % 242.40/242.47 [4737]~E(f29(x47371,x47372,x47373),a25) % 242.40/242.47 [4738]~E(f28(x47381,x47382,x47383),a25) % 242.40/242.47 [4742]~E(f129(x47421,x47422,x47423),f122(x47421)) % 242.40/242.47 [3464]E(f330(f195(x34641,x34642),x34643),f124(x34641,x34642)) % 242.40/242.47 [3483]E(f330(f203(x34831,x34832),x34833),f330(f132(x34831),x34832)) % 242.40/242.47 [3560]E(f330(f330(f157(x35601,x35602),x35603),f116(x35601)),f116(x35602)) % 242.40/242.47 [3600]E(f330(f187(x36001,x36002,x36003),f2(a930)),x36002) % 242.40/242.47 [3602]E(f330(f330(f184(x36021,x36022),x36023),f116(x36022)),f116(f936(x36021,x36022))) % 242.40/242.47 [3617]E(f330(f192(f931(x36171)),f172(x36171,x36172,x36173)),x36172) % 242.40/242.47 [3636]E(f87(x36361,f64(x36361,x36362,x36363)),f330(f65(x36361,x36362),x36363)) % 242.40/242.47 [3640]E(f247(x36401,x36402,f247(x36402,x36401,x36403)),x36403) % 242.40/242.47 [3660]E(f330(f171(x36601),f172(x36601,x36602,x36603)),f172(x36601,x36602,x36603)) % 242.40/242.47 [3687]E(f143(x36871,x36872,f155(x36871,x36873)),f155(x36871,f143(x36871,x36872,x36873))) % 242.40/242.47 [3705]E(f330(f255(f931(x37051),f931(x37051)),f169(x37051,x37052,x37053)),f330(f139(x37051,x37052),x37053)) % 242.40/242.47 [3748]E(f330(f330(f154(x37481),x37482),f172(x37481,x37483,x37482)),f172(x37481,f330(a115,x37483),x37482)) % 242.40/242.47 [3782]E(f188(x37821,x37822,x37823,f2(a930)),x37822) % 242.40/242.47 [3783]E(f17(x37831,x37832,x37833,f2(a102)),x37832) % 242.40/242.47 [3784]E(f19(x37841,x37842,x37843,f2(a102)),x37842) % 242.40/242.47 [3791]E(f166(x37911,x37912,x37913,f116(x37911)),f116(x37912)) % 242.40/242.47 [3792]E(f133(x37921,x37922,x37923,f122(x37921)),f122(x37922)) % 242.40/242.47 [3798]E(f330(f330(f167(x37981),f330(f330(f154(x37981),x37982),x37983)),f2(a930)),x37982) % 242.40/242.47 [3828]E(f61(x38281,x38282,f116(x38281),x38283),f116(f936(x38281,x38282))) % 242.40/242.47 [3849]P28(x38491,x38492,x38493,f191(f937(x38491,a925))) % 242.40/242.47 [3952]E(f269(x39521,x39522,x39523),f330(f256(f937(a102,f937(a925,f934(f932(x39521)))),f936(a102,a102)),f43(x39521))) % 242.40/242.47 [4010]E(f330(f74(x40101,x40102,x40101,x40103),f33(x40101)),x40103) % 242.40/242.47 [4189]P1(f330(f330(f332(f936(x41891,x41891)),f330(f330(f256(x41891,x41891),x41892),x41892)),f310(x41891,x41893))) % 242.40/242.47 [4798]~P1(f330(f330(f332(f936(f931(x47981),f931(x47981))),f330(f330(f256(f931(x47981),f931(x47981)),x47982),f116(x47981))),f148(x47981,x47983))) % 242.40/242.47 [4799]~P1(f330(f330(f332(f936(f931(x47991),f931(x47991))),f330(f330(f256(f931(x47991),f931(x47991)),x47992),f116(x47991))),f150(x47991,x47993))) % 242.40/242.47 [4800]~P1(f330(f330(f332(f936(f931(x48001),f931(x48001))),f330(f330(f256(f931(x48001),f931(x48001)),x48002),f116(x48001))),f160(x48001,x48003))) % 242.40/242.47 [4801]~P1(f330(f330(f332(f936(f931(x48011),f931(x48011))),f330(f330(f256(f931(x48011),f931(x48011)),f116(x48011)),x48012)),f148(x48011,x48013))) % 242.40/242.47 [4802]~P1(f330(f330(f332(f936(f931(x48021),f931(x48021))),f330(f330(f256(f931(x48021),f931(x48021)),f116(x48021)),x48022)),f160(x48021,x48023))) % 242.40/242.47 [3534]E(f330(f330(f205(x35341),x35342),x35343),f206(x35341,f219(x35342,x35343))) % 242.40/242.47 [3589]E(f330(f290(x35891,x35892),f330(f290(x35892,x35891),x35893)),x35893) % 242.40/242.47 [3612]E(f330(f330(f184(x36121,x36122),f116(x36121)),x36123),f116(f936(x36121,x36122))) % 242.40/242.47 [3615]E(f179(x36151,x36152,f330(f286(a930),x36153)),f330(f330(f178(x36151),x36153),x36152)) % 242.40/242.47 [3633]E(f155(x36331,f330(f139(x36331,x36332),x36333)),f330(f139(x36331,x36332),f155(x36331,x36333))) % 242.40/242.47 [3634]E(f330(f288(x36341,x36342),f330(f290(x36342,x36341),x36343)),f330(f268(x36342,x36341),x36343)) % 242.40/242.47 [3635]E(f330(f268(x36351,x36352),f330(f290(x36352,x36351),x36353)),f330(f288(x36352,x36351),x36353)) % 242.40/242.47 [3653]E(f330(f139(x36531,x36532),f330(f171(x36531),x36533)),f330(f171(x36531),f330(f139(x36531,x36532),x36533))) % 242.40/242.47 [3666]E(f330(f330(f141(x36661),x36662),f330(f174(x36661),x36663)),f330(f330(f141(x36661),f330(a115,x36662)),x36663)) % 242.40/242.47 [3682]E(f30(f28(x36821,x36822,x36823)),f330(f330(f82(a930),f30(x36823)),f330(a115,f2(a930)))) % 242.40/242.47 [3683]E(f330(f313(x36831,x36832,x36833),f191(f937(x36831,a925))),f191(f937(x36832,a925))) % 242.40/242.47 [3684]E(f330(f314(x36841,x36842,x36843),f191(f937(x36842,a925))),f191(f937(x36841,a925))) % 242.40/242.47 [3685]E(f330(f314(x36851,x36852,x36853),f246(f937(x36852,a925))),f246(f937(x36851,a925))) % 242.40/242.47 [3686]E(f330(f289(x36861,x36862,x36863),f191(f937(x36861,a925))),f191(f937(x36862,a925))) % 242.40/242.47 [3711]E(f123(x37111,f129(f932(x37111),x37112,x37113)),f119(x37111,x37112,f123(x37111,x37113))) % 242.40/242.47 [3713]E(f330(f330(f312(x37131),x37132),f330(f175(x37131),x37133)),f330(f175(x37131),f143(x37131,x37132,x37133))) % 242.40/242.47 [3802]E(f330(f192(a927),f28(x38021,x38022,x38023)),f330(f330(f82(a930),f330(f192(a927),x38023)),f330(a115,f2(a930)))) % 242.40/242.47 [3803]E(f330(f313(f936(x38031,x38032),x38032,f260(x38031,x38032)),x38033),f330(f288(x38031,x38032),x38033)) % 242.40/242.47 [3804]E(f330(f313(f936(x38041,x38042),x38041,f255(x38041,x38042)),x38043),f330(f268(x38041,x38042),x38043)) % 242.40/242.47 [3820]E(f330(f175(x38201),f172(x38201,f330(a115,x38202),x38203)),f330(f330(f312(x38201),x38203),f191(f937(x38201,a925)))) % 242.40/242.47 [3878]E(f330(f330(f256(x38781,x38782),f330(f255(x38781,x38782),x38783)),f330(f260(x38781,x38782),x38783)),x38783) % 242.40/242.47 [3885]E(f330(f192(f932(x38851)),f129(x38851,x38852,x38853)),f330(f330(f82(a930),f330(f192(f932(x38851)),x38853)),f330(a115,f2(a930)))) % 242.40/242.47 [3886]E(f330(f330(f261(x38861,x38862,x38861),f16(x38861,x38862)),x38863),f330(f255(x38861,x38862),x38863)) % 242.40/242.47 [3965]E(f30(f29(x39651,x39652,x39653)),f330(f330(f82(a930),f330(f330(f82(a930),f30(x39652)),f30(x39653))),f330(a115,f2(a930)))) % 242.40/242.47 [4015]E(f330(f74(x40151,x40151,x40152,f33(x40151)),x40153),x40153) % 242.40/242.47 [4022]E(f330(f330(f137(x40221),f172(x40221,x40222,x40223)),f330(f330(f154(x40221),x40223),f116(x40221))),f330(f330(f154(x40221),x40223),f172(x40221,x40222,x40223))) % 242.40/242.47 [4124]E(f330(f192(a927),f29(x41241,x41242,x41243)),f330(f330(f82(a930),f330(f330(f82(a930),f330(f192(a927),x41242)),f330(f192(a927),x41243))),f330(a115,f2(a930)))) % 242.40/242.47 [4198]P1(f330(f330(f239(f937(x41981,a925)),f330(f175(x41981),f330(f139(x41981,x41982),x41983))),f330(f175(x41981),x41983))) % 242.40/242.47 [4243]P1(f330(f330(f239(f937(x42431,a925)),f330(f175(x42431),f330(f330(f178(x42431),x42432),x42433))),f330(f175(x42431),x42433))) % 242.40/242.47 [4244]P1(f330(f330(f239(f937(x42441,a925)),f330(f175(x42441),f330(f330(f141(x42441),x42442),x42443))),f330(f175(x42441),x42443))) % 242.40/242.47 [4248]P1(f330(f330(f239(f937(x42481,a925)),f330(f175(x42481),f179(x42481,x42482,x42483))),f330(f175(x42481),x42482))) % 242.40/242.47 [4249]P1(f330(f330(f239(f937(x42491,a925)),f330(f175(x42491),f173(x42491,x42492,x42493))),f330(f175(x42491),x42493))) % 242.40/242.47 [4270]P28(f936(x42701,x42702),f936(x42702,x42701),f330(f261(x42701,x42702,f936(x42702,x42701)),f330(f7(x42702,x42701,f936(x42702,x42701)),f256(x42702,x42701))),x42703) % 242.40/242.47 [4281]E(f330(f330(f330(f186(f931(x42811),f931(x42811)),f47(a930,x42812,f330(f192(f931(x42811)),x42813))),f170(x42811)),x42813),f330(f330(f330(f186(f931(x42811),f931(x42811)),x42812),f170(x42811)),x42813)) % 242.40/242.47 [4325]P1(f330(f330(f332(f936(f931(x43251),f931(x43251))),f330(f330(f256(f931(x43251),f931(x43251)),x43252),x43252)),f161(x43251,f310(x43251,x43253)))) % 242.40/242.47 [4465]E(f87(f936(x44651,x44652),f330(f330(f18(f936(x44651,x44652),x44652,a925),f330(f330(f8(x44651,f937(x44652,a925),f936(x44651,x44652)),x44653),f255(x44651,x44652))),f260(x44651,x44652))),f87(f936(x44651,x44652),f330(f261(x44651,x44652,a925),x44653))) % 242.40/242.47 [4466]E(f92(f936(x44661,x44662),f330(f330(f18(f936(x44661,x44662),x44662,a925),f330(f330(f8(x44661,f937(x44662,a925),f936(x44661,x44662)),x44663),f255(x44661,x44662))),f260(x44661,x44662))),f92(f936(x44661,x44662),f330(f261(x44661,x44662,a925),x44663))) % 242.40/242.47 [4499]E(f330(f330(f291(f936(a930,x44991),x44991),f323(a930,x44991,a244,x44992)),f330(f330(f18(x44991,x44991,f936(a930,x44991)),f330(f330(f8(a930,f937(x44991,f936(a930,x44991)),x44991),f256(a930,x44991)),x44993)),f5(x44991))),f324(x44991,x44993,x44992)) % 242.40/242.47 [4561]E(f330(f262(x45611,x45611,x45612,x45612,f5(x45611),f5(x45612)),x45613),x45613) % 242.40/242.47 [4634]E(f330(f145(f931(f931(x46341)),f931(f931(x46341)),f137(f931(x46341)),f116(f931(x46341))),f330(f330(f157(f931(x46341),f931(f931(x46341))),f330(f330(f7(f931(x46341),f931(x46341),f931(f931(x46341))),f330(f330(f8(f937(x46341,f931(x46341)),f937(f931(x46341),f931(f931(x46341))),f931(x46341)),f157(x46341,f931(x46341))),f330(f7(x46341,f931(x46341),f931(x46341)),f154(x46341)))),x46342)),f57(x46341,x46343,x46342))),f57(x46341,f330(a115,x46343),x46342)) % 242.40/242.47 [4690]E(f227(a930,f936(x46901,f932(x46901)),f2(a930),f330(f261(x46901,f932(x46901),a930),f330(f330(f7(x46901,a930,f937(f932(x46901),a930)),f330(f330(f8(f937(f932(x46901),f937(a930,a930)),f937(a930,f937(f932(x46901),a930)),x46901),f7(f932(x46901),a930,a930)),f330(f330(f8(f937(f932(x46901),a930),f937(f932(x46901),f937(a930,a930)),x46901),f330(f8(a930,f937(a930,a930),f932(x46901)),f82(a930))),f330(f330(f7(x46901,f937(f932(x46901),a930),f937(f932(x46901),a930)),f330(f330(f8(f937(a930,a930),f937(f937(f932(x46901),a930),f937(f932(x46901),a930)),x46901),f8(a930,a930,f932(x46901))),f330(f330(f8(a930,f937(a930,a930),x46901),f82(a930)),x46902))),f128(x46901,x46902))))),f80(a930))),f330(f138(x46901),x46903)),f330(f128(x46901,x46902),x46903)) % 242.40/242.47 [4698]E(f330(f330(f88(a1,x46981),f222(f330(f330(f74(f936(a1,a1),a1,x46981,f260(a1,a1)),f216(x46981)),x46982),f330(f330(f74(f936(a1,a1),a1,x46981,f260(a1,a1)),f216(x46981)),x46983))),f330(f330(f18(a1,a1,x46981),f330(f330(f8(a1,f937(a1,x46981),a1),f205(x46981)),f330(f330(f18(a1,a1,a1),f330(f330(f8(a1,f937(a1,a1),a1),f82(a1)),f330(f330(f8(a1,a1,a1),f330(f83(a1),f330(f330(f74(f936(a1,a1),a1,x46981,f255(a1,a1)),f216(x46981)),x46982))),f330(f330(f7(a1,a1,a1),f38(a1)),f330(f330(f74(f936(a1,a1),a1,x46981,f260(a1,a1)),f216(x46981)),x46982))))),f330(f330(f8(a1,a1,a1),f330(f83(a1),f330(f330(f74(f936(a1,a1),a1,x46981,f255(a1,a1)),f216(x46981)),x46983))),f330(f330(f7(a1,a1,a1),f38(a1)),f330(f330(f74(f936(a1,a1),a1,x46981,f260(a1,a1)),f216(x46981)),x46983)))))),f5(a1))),f234(x46981,x46982,x46983)) % 242.40/242.47 [4733]~E(f330(f330(f154(x47331),x47332),x47333),x47333) % 242.40/242.47 [4740]~E(f330(f330(f154(x47401),x47402),x47403),f116(x47401)) % 242.40/242.47 [4758]~E(f330(f330(f312(x47581),x47582),x47583),f191(f937(x47581,a925))) % 242.40/242.47 [4780]~E(f330(f313(x47801,f937(x47801,a925),x47802),x47803),f330(f311(x47801),x47803)) % 242.40/242.47 [3594]E(f330(f330(f162(x35941,f116(x35941)),x35942),x35943),f116(x35941)) % 242.40/242.47 [3595]E(f330(f144(x35951),f330(f330(f154(x35951),x35952),x35953)),x35952) % 242.40/242.47 [3596]E(f330(f174(x35961),f330(f330(f154(x35961),x35962),x35963)),x35963) % 242.40/242.47 [3639]E(f330(f330(f141(x36391),f80(a930)),f330(f330(f154(x36391),x36392),x36393)),x36393) % 242.40/242.47 [3673]E(f117(x36731,f330(f330(f141(x36731),x36732),x36733)),f330(f330(f141(x36731),x36732),f117(x36731,x36733))) % 242.40/242.47 [3675]E(f330(f330(f162(x36751,x36752),x36753),f330(f330(f167(x36751),x36752),x36753)),x36752) % 242.40/242.47 [3696]E(f330(f330(f312(x36961),x36962),f330(f330(f312(x36961),x36962),x36963)),f330(f330(f312(x36961),x36962),x36963)) % 242.40/242.47 [3708]E(f330(f330(f312(x37081),x37082),f330(f175(x37081),x37083)),f330(f175(x37081),f330(f330(f154(x37081),x37082),x37083))) % 242.40/242.47 [3710]E(f330(f330(f141(x37101),x37102),f330(f174(x37101),x37103)),f330(f174(x37101),f330(f330(f141(x37101),x37102),x37103))) % 242.40/242.47 [3722]E(f330(f330(f178(x37221),f80(a930)),f330(f330(f154(x37221),x37222),x37223)),f330(f330(f154(x37221),x37222),f116(x37221))) % 242.40/242.47 [3767]E(f330(f65(x37671,x37672),f330(f330(f312(x37671),x37673),f191(f937(x37671,a925)))),x37673) % 242.40/242.47 [3810]E(f330(f330(f82(a930),x38101),f330(f330(f82(a930),x38102),x38103)),f330(f330(f82(a930),x38102),f330(f330(f82(a930),x38101),x38103))) % 242.40/242.47 [3811]E(f330(f330(f82(a1),x38111),f330(f330(f82(a1),x38112),x38113)),f330(f330(f82(a1),x38112),f330(f330(f82(a1),x38111),x38113))) % 242.40/242.47 [3816]E(f330(f330(f258(x38161,x38162),f191(f937(x38161,a925))),x38163),f191(f937(f936(x38161,x38162),a925))) % 242.40/242.47 [3841]E(f330(f330(f113(f937(x38411,a925)),x38412),x38413),f330(f330(f113(f937(x38411,a925)),x38413),x38412)) % 242.40/242.47 [3842]E(f330(f330(f104(f937(x38421,a925)),x38422),x38423),f330(f330(f104(f937(x38421,a925)),x38423),x38422)) % 242.40/242.47 [3844]E(f330(f330(f137(x38441),x38442),f330(f330(f154(x38441),x38443),f116(x38441))),f330(f170(x38441),f330(f330(f154(x38441),x38443),x38442))) % 242.40/242.47 [3845]E(f330(f330(f137(x38451),f330(f171(x38451),x38452)),f330(f171(x38451),x38453)),f330(f171(x38451),f330(f330(f137(x38451),x38453),x38452))) % 242.40/242.47 [3855]E(f330(f174(x38551),f330(f330(f178(x38551),f330(a115,x38552)),x38553)),f330(f330(f178(x38551),x38552),f330(f174(x38551),x38553))) % 242.40/242.47 [3863]P1(f330(f330(f332(x38631),x38632),f330(f330(f312(x38631),x38632),x38633))) % 242.40/242.47 [3867]E(f330(f330(f42(x38671,f937(x38672,a925)),f191(f937(x38671,a925))),x38673),f246(f937(x38672,a925))) % 242.40/242.47 [3870]E(f330(f289(x38701,x38701,f267(x38701,x38702)),x38703),f330(f330(f104(f937(x38701,a925)),x38702),x38703)) % 242.40/242.47 [3884]E(f330(f192(f931(x38841)),f330(f330(f154(x38841),x38842),x38843)),f330(f330(f82(a930),f330(f192(f931(x38841)),x38843)),f330(a115,f2(a930)))) % 242.40/242.47 [3888]E(f117(x38881,f330(f330(f137(x38881),x38882),f330(f330(f154(x38881),x38883),f116(x38881)))),x38882) % 242.40/242.47 [3889]E(f147(x38891,f330(f330(f137(x38891),x38892),f330(f330(f154(x38891),x38893),f116(x38891)))),x38893) % 242.40/242.47 [3898]E(f330(f330(f137(x38981),f330(f330(f178(x38981),x38982),x38983)),f330(f330(f141(x38981),x38982),x38983)),x38983) % 242.40/242.47 [3907]E(f330(f330(f23(a930),f330(f330(f82(a930),x39071),x39072)),f330(f330(f82(a930),x39073),x39072)),f330(f330(f23(a930),x39071),x39073)) % 242.40/242.47 [3908]E(f330(f330(f23(a930),f330(f330(f82(a930),x39081),x39082)),f330(f330(f82(a930),x39081),x39083)),f330(f330(f23(a930),x39082),x39083)) % 242.40/242.47 [3914]E(f330(f330(f137(x39141),f330(f171(x39141),x39142)),f330(f330(f154(x39141),x39143),f116(x39141))),f330(f171(x39141),f330(f330(f154(x39141),x39143),x39142))) % 242.40/242.47 [3916]E(f330(f330(f82(a930),f330(f192(f931(x39161)),x39162)),f330(f192(f931(x39161)),x39163)),f330(f192(f931(x39161)),f330(f330(f137(x39161),x39162),x39163))) % 242.40/242.47 [3919]E(f330(f330(f82(a930),f330(f192(f931(x39191)),x39192)),f330(f192(f931(x39191)),x39193)),f330(f192(f931(x39191)),f176(x39191,x39192,x39193))) % 242.40/242.47 [3927]E(f330(f330(f113(f937(x39271,a925)),f330(f175(x39271),x39272)),f330(f175(x39271),x39273)),f330(f175(x39271),f330(f330(f137(x39271),x39272),x39273))) % 242.40/242.47 [3928]E(f47(a930,f330(f330(f83(a930),x39281),x39282),f330(f330(f83(a930),x39281),x39283)),f330(f330(f83(a930),x39281),f47(a930,x39282,x39283))) % 242.40/242.47 [3940]E(f330(f330(f178(x39401),f330(f330(f23(a930),x39402),f80(a930))),f330(f174(x39401),x39403)),f330(f174(x39401),f330(f330(f178(x39401),x39402),x39403))) % 242.40/242.47 [3945]E(f330(f330(f104(f937(x39451,a925)),x39452),f330(f81(f937(x39451,a925)),x39453)),f330(f330(f23(f937(x39451,a925)),x39452),x39453)) % 242.40/242.47 [3946]E(f330(f330(f23(f937(x39461,a925)),x39462),f330(f81(f937(x39461,a925)),x39463)),f330(f330(f104(f937(x39461,a925)),x39462),x39463)) % 242.40/242.47 [3969]E(f330(f330(f258(x39691,x39692),x39693),f330(f16(f937(x39692,a925),x39691),f191(f937(x39692,a925)))),f191(f937(f936(x39691,x39692),a925))) % 242.40/242.47 [3971]E(f330(f330(f23(a930),f330(f330(f83(a930),x39711),x39712)),f330(f330(f83(a930),x39711),x39713)),f330(f330(f83(a930),x39711),f330(f330(f23(a930),x39712),x39713))) % 242.40/242.47 [3972]E(f330(f330(f82(a930),f330(f330(f83(a930),x39721),x39722)),f330(f330(f83(a930),x39721),x39723)),f330(f330(f83(a930),x39721),f330(f330(f82(a930),x39722),x39723))) % 242.40/242.47 [3973]E(f330(f330(f23(a1),f330(f330(f83(a1),x39731),x39732)),f330(f330(f83(a1),x39731),x39733)),f330(f330(f83(a1),x39731),f330(f330(f23(a1),x39732),x39733))) % 242.40/242.47 [3974]E(f330(f330(f82(a1),f330(f330(f83(a1),x39741),x39742)),f330(f330(f83(a1),x39741),x39743)),f330(f330(f83(a1),x39741),f330(f330(f82(a1),x39742),x39743))) % 242.40/242.47 [3975]E(f330(f330(f83(a1),f330(f330(f248(a1),x39751),x39752)),f330(f330(f248(a1),x39751),x39753)),f330(f330(f248(a1),x39751),f330(f330(f82(a930),x39752),x39753))) % 242.40/242.47 [3989]E(f330(f330(f41(x39891,f937(x39892,a925)),x39893),f330(f16(f937(x39892,a925),x39891),f191(f937(x39892,a925)))),f191(f937(x39892,a925))) % 242.40/242.47 [3991]E(f47(a930,f330(f330(f83(a930),x39911),x39912),f330(f330(f83(a930),x39913),x39912)),f330(f330(f83(a930),f47(a930,x39911,x39913)),x39912)) % 242.40/242.47 [3996]E(f47(a1,f330(f330(f23(a1),x39961),f47(a1,x39962,x39963)),x39963),f47(a1,f330(f330(f23(a1),x39961),x39962),x39963)) % 242.40/242.47 [3997]E(f47(a1,f330(f330(f83(a1),x39971),f47(a1,x39972,x39973)),x39973),f47(a1,f330(f330(f83(a1),x39971),x39972),x39973)) % 242.40/242.47 [3998]P1(f330(f330(f239(f937(x39981,a925)),x39982),f330(f330(f312(x39981),x39983),x39982))) % 242.40/242.47 [4075]E(f330(f330(f42(f937(x40751,a925),f937(x40751,a925)),x40752),f330(f113(f937(x40751,a925)),x40753)),f330(f330(f113(f937(x40751,a925)),x40753),f40(f937(x40751,a925),x40752))) % 242.40/242.47 [4076]E(f330(f330(f41(f937(x40761,a925),f937(x40761,a925)),x40762),f330(f104(f937(x40761,a925)),x40763)),f330(f330(f104(f937(x40761,a925)),x40763),f39(f937(x40761,a925),x40762))) % 242.40/242.47 [4088]E(f330(f175(x40881),f330(f330(f330(f186(f931(x40881),f931(x40881)),x40882),f170(x40881)),x40883)),f330(f175(x40881),x40883)) % 242.40/242.47 [4092]E(f330(f330(f178(x40921),f330(f192(f931(x40921)),f180(x40921,x40922,x40923))),x40923),f180(x40921,x40922,x40923)) % 242.40/242.47 [4096]E(f330(f192(f931(x40961)),f330(f330(f330(f186(f931(x40961),f931(x40961)),x40962),f170(x40961)),x40963)),f330(f192(f931(x40961)),x40963)) % 242.40/242.47 [4099]E(f330(f330(f261(x40991,x40992,x40992),f330(f16(f937(x40992,x40992),x40991),f5(x40992))),x40993),f330(f260(x40991,x40992),x40993)) % 242.40/242.47 [4106]E(f47(a1,f330(f330(f23(a1),f47(a1,x41061,x41062)),x41063),x41062),f47(a1,f330(f330(f23(a1),x41061),x41063),x41062)) % 242.40/242.47 [4107]E(f47(a1,f330(f330(f248(a1),f47(a1,x41071,x41072)),x41073),x41072),f47(a1,f330(f330(f248(a1),x41071),x41073),x41072)) % 242.40/242.47 [4110]E(f330(f330(f41(f937(f936(x41101,x41102),a925),f937(x41102,a925)),x41103),f288(x41101,x41102)),f330(f288(x41101,x41102),f39(f937(f936(x41101,x41102),a925),x41103))) % 242.40/242.47 [4111]E(f330(f330(f41(f937(f936(x41111,x41112),a925),f937(x41111,a925)),x41113),f268(x41111,x41112)),f330(f268(x41111,x41112),f39(f937(f936(x41111,x41112),a925),x41113))) % 242.40/242.47 [4135]E(f330(f74(x41351,x41351,x41351,x41352),f330(f330(f186(x41351,x41351),x41353),x41352)),f330(f330(f186(x41351,x41351),f330(a115,x41353)),x41352)) % 242.40/242.47 [4153]E(f330(f330(f141(x41531),f330(f330(f23(a930),f330(f192(f931(x41531)),x41532)),x41533)),f330(f171(x41531),x41532)),f330(f171(x41531),f330(f330(f178(x41531),x41533),x41532))) % 242.40/242.47 [4154]E(f330(f330(f178(x41541),f330(f330(f23(a930),f330(f192(f931(x41541)),x41542)),x41543)),f330(f171(x41541),x41542)),f330(f171(x41541),f330(f330(f141(x41541),x41543),x41542))) % 242.40/242.47 [4156]E(f330(f330(f82(a930),f330(f168(a930),f330(f330(f157(x41561,a930),x41562),x41563))),f330(f192(f931(x41561)),x41563)),f158(x41561,x41562,x41563)) % 242.40/242.47 [4176]E(f330(f170(x41761),f330(f330(f330(f186(f931(x41761),f931(x41761)),x41762),f170(x41761)),x41763)),f330(f330(f330(f186(f931(x41761),f931(x41761)),f330(a115,x41762)),f170(x41761)),x41763)) % 242.40/242.47 [4190]P1(f330(f330(f239(a930),f330(f192(f931(x41901)),f330(f139(x41901,x41902),x41903))),f330(f192(f931(x41901)),x41903))) % 242.40/242.47 [4206]E(f330(f330(f113(f937(f937(x42061,a925),a925)),f330(f311(x42061),x42062)),f330(f313(f937(x42061,a925),f937(x42061,a925),f330(f312(x42061),x42063)),f330(f311(x42061),x42062))),f330(f311(x42061),f330(f330(f312(x42061),x42063),x42062))) % 242.40/242.47 [4225]P27(x42251,x42252,f330(f330(f312(f929(x42251)),f330(f330(f330(f93(x42251),x42253),a25),x42253)),f191(f937(f929(x42251),a925)))) % 242.40/242.47 [4240]P1(f330(f330(f239(a930),f330(f192(f931(x42401)),f180(x42401,x42402,x42403))),f330(f192(f931(x42401)),x42403))) % 242.40/242.47 [4247]E(f330(f268(x42471,x42472),f330(f266(f936(x42471,x42472)),f330(f261(x42471,x42472,a925),x42473))),f330(f266(x42471),f330(f330(f8(f937(x42472,a925),a925,x42471),f89(x42472)),x42473))) % 242.40/242.47 [4259]E(f330(f313(a930,a930,f330(f330(f7(a930,a930,a930),f82(a930)),x42591)),f306(a930,x42592,x42593)),f306(a930,f330(f330(f82(a930),x42592),x42591),f330(f330(f82(a930),x42593),x42591))) % 242.40/242.47 [4273]E(f330(f313(a930,a930,f330(f330(f7(a930,a930,a930),f82(a930)),x42731)),f330(f305(a930,x42732),x42733)),f330(f305(a930,f330(f330(f82(a930),x42732),x42731)),f330(f330(f82(a930),x42733),x42731))) % 242.40/242.47 [4291]E(f330(f330(f184(x42911,x42912),f330(f330(f157(f936(x42911,x42912),x42911),f255(x42911,x42912)),x42913)),f330(f330(f157(f936(x42911,x42912),x42912),f260(x42911,x42912)),x42913)),x42913) % 242.40/242.47 [4296]E(f330(f330(f82(a930),f330(f330(f83(a930),x42961),f47(a930,f330(f330(f38(a930),x42962),x42961),x42963))),f47(a930,x42962,x42961)),f47(a930,x42962,f330(f330(f83(a930),x42961),x42963))) % 242.40/242.47 [4309]E(f330(f330(f137(x43091),x43092),f330(f145(f931(x43091),f931(x43091),f137(x43091),f116(x43091)),x43093)),f330(f145(f931(x43091),f931(x43091),f137(x43091),x43092),x43093)) % 242.40/242.47 [4330]P1(f330(f330(f332(f936(x43301,x43301)),f330(f330(f256(x43301,x43301),x43302),x43302)),f330(f330(f186(f936(x43301,x43301),a925),f2(a930)),x43303))) % 242.40/242.47 [4335]E(f330(f266(x43351),f330(f330(f8(f937(x43352,a925),a925,x43351),f89(x43352)),f330(f7(x43352,x43351,a925),x43353))),f330(f288(x43352,x43351),f330(f266(f936(x43352,x43351)),f330(f261(x43352,x43351,a925),x43353)))) % 242.40/242.47 [4352]E(f330(f330(f113(f937(x43521,a925)),f330(f330(f41(a930,f937(x43521,a925)),f306(a930,f80(a930),x43522)),x43523)),f330(x43523,f2(a930))),f330(f330(f41(a930,f937(x43521,a925)),f330(f304(a930),x43522)),x43523)) % 242.40/242.47 [4367]E(f330(f145(f931(x43671),f931(x43671),f137(x43671),f116(x43671)),f330(f330(f157(f931(x43671),f931(x43671)),f139(x43671,x43672)),x43673)),f330(f139(x43671,x43672),f330(f145(f931(x43671),f931(x43671),f137(x43671),f116(x43671)),x43673))) % 242.40/242.47 [4371]E(f330(f260(f931(x43711),f931(x43711)),f169(x43711,x43712,x43713)),f330(f139(x43711,f330(f74(a925,a925,x43711,a325),x43712)),x43713)) % 242.40/242.47 [4416]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f83(a1),x44161),f330(f330(f38(a1),x44162),x44161))),f47(a1,x44162,x44161))),x44163),f330(f330(f82(a1),x44162),x44163)) % 242.40/242.47 [4454]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f83(a1),f330(f330(f38(a1),x44541),x44542)),x44542)),f47(a1,x44541,x44542))),x44543),f330(f330(f82(a1),x44541),x44543)) % 242.40/242.47 [4480]E(f87(f936(x44801,x44802),f330(f261(x44801,x44802,a925),f330(f330(f8(f937(x44802,f936(x44801,x44802)),f937(x44802,a925),x44801),f330(f8(f936(x44801,x44802),a925,x44802),x44803)),f256(x44801,x44802)))),f87(f936(x44801,x44802),x44803)) % 242.40/242.47 [4481]E(f92(f936(x44811,x44812),f330(f261(x44811,x44812,a925),f330(f330(f8(f937(x44812,f936(x44811,x44812)),f937(x44812,a925),x44811),f330(f8(f936(x44811,x44812),a925,x44812),x44813)),f256(x44811,x44812)))),f92(f936(x44811,x44812),x44813)) % 242.40/242.47 [4508]P1(f330(f330(f239(f937(x45081,a925)),f39(f937(x45081,a925),f330(f330(f104(f937(f937(x45081,a925),a925)),x45082),x45083))),f330(f330(f104(f937(x45081,a925)),f39(f937(x45081,a925),x45082)),f39(f937(x45081,a925),x45083)))) % 242.40/242.47 [4509]E(f330(f171(x45091),f330(f330(f330(f186(f931(x45091),f931(x45091)),f330(f330(f23(a930),f330(f192(f931(x45091)),x45092)),f47(a930,x45093,f330(f192(f931(x45091)),x45092)))),f170(x45091)),x45092)),f330(f330(f330(f186(f931(x45091),f931(x45091)),x45093),f170(x45091)),f330(f171(x45091),x45092))) % 242.40/242.47 [4546]P1(f330(f330(f239(a930),f330(f192(f931(x45461)),f330(f330(f141(x45461),f330(f192(f931(x45461)),f180(x45461,x45462,x45463))),x45463))),f330(f192(f931(x45461)),x45463))) % 242.40/242.47 [4792]~P1(f330(f64(x47921,x47922,f191(f937(x47921,a925))),x47923)) % 242.40/242.47 [4797]~P1(f330(f330(f332(f936(x47971,x47971)),f330(f330(f256(x47971,x47971),x47972),x47973)),f156(x47971,f116(f937(x47971,a930))))) % 242.40/242.47 [3856]E(f330(f192(f931(x38561)),f330(f330(f178(x38561),x38562),x38563)),f330(f330(f237(a930),f330(f192(f931(x38561)),x38563)),x38562)) % 242.40/242.47 [3857]E(f330(f192(f931(x38571)),f330(f330(f141(x38571),x38572),x38573)),f330(f330(f23(a930),f330(f192(f931(x38571)),x38573)),x38572)) % 242.40/242.47 [3883]E(f330(f192(f931(f931(x38831))),f57(x38831,x38832,x38833)),f330(f330(f248(a930),f330(f192(f931(x38831)),x38833)),x38832)) % 242.40/242.47 [3900]E(f330(f330(f38(a930),f330(f330(f38(a930),x39001),x39002)),x39003),f330(f330(f38(a930),x39001),f330(f330(f83(a930),x39002),x39003))) % 242.40/242.47 [3901]E(f330(f330(f23(a930),f330(f330(f23(a930),x39011),x39012)),x39013),f330(f330(f23(a930),x39011),f330(f330(f82(a930),x39012),x39013))) % 242.40/242.47 [3902]E(f330(f330(f82(a930),f330(f330(f82(a930),x39021),x39022)),x39023),f330(f330(f82(a930),x39021),f330(f330(f82(a930),x39022),x39023))) % 242.40/242.47 [3903]E(f330(f330(f82(a1),f330(f330(f82(a1),x39031),x39032)),x39033),f330(f330(f82(a1),x39031),f330(f330(f82(a1),x39032),x39033))) % 242.40/242.47 [3904]E(f330(f330(f83(a930),f330(f330(f83(a930),x39041),x39042)),x39043),f330(f330(f83(a930),x39041),f330(f330(f83(a930),x39042),x39043))) % 242.40/242.47 [3905]E(f330(f330(f83(a1),f330(f330(f83(a1),x39051),x39052)),x39053),f330(f330(f83(a1),x39051),f330(f330(f83(a1),x39052),x39053))) % 242.40/242.47 [3906]E(f330(f330(f248(a1),f330(f330(f248(a1),x39061),x39062)),x39063),f330(f330(f248(a1),x39061),f330(f330(f83(a930),x39062),x39063))) % 242.40/242.47 [3925]E(f165(x39251,f330(f330(f154(f937(x39251,a925)),x39252),x39253)),f177(x39251,x39252,f165(x39251,x39253))) % 242.40/242.47 [3970]E(f330(f330(f23(a930),f330(f330(f23(a930),x39701),x39702)),x39703),f330(f330(f23(a930),f330(f330(f23(a930),x39701),x39703)),x39702)) % 242.40/242.47 [3978]E(f330(f330(f104(f937(x39781,a925)),x39782),f330(f330(f23(f937(x39781,a925)),x39783),x39782)),f191(f937(x39781,a925))) % 242.40/242.47 [3982]E(f330(f330(f157(a930,x39821),f330(f16(x39821,a930),x39822)),f142(a930,f330(f305(a930,f2(a930)),x39823))),f172(x39821,x39823,x39822)) % 242.40/242.47 [4020]E(f40(f937(x40201,a925),f330(f330(f312(f937(x40201,a925)),x40202),x40203)),f330(f330(f104(f937(x40201,a925)),x40202),f40(f937(x40201,a925),x40203))) % 242.40/242.47 [4021]E(f39(f937(x40211,a925),f330(f330(f312(f937(x40211,a925)),x40212),x40213)),f330(f330(f113(f937(x40211,a925)),x40212),f39(f937(x40211,a925),x40213))) % 242.40/242.47 [4023]E(f172(x40231,f330(f192(f931(x40231)),f330(f139(x40231,f330(a327,x40232)),x40233)),x40232),f330(f139(x40231,f330(a327,x40232)),x40233)) % 242.40/242.47 [4025]E(f330(f330(f23(a930),f330(f330(f83(a930),x40251),x40252)),f330(f330(f83(a930),x40253),x40252)),f330(f330(f83(a930),f330(f330(f23(a930),x40251),x40253)),x40252)) % 242.40/242.47 [4026]E(f330(f330(f82(a930),f330(f330(f83(a930),x40261),x40262)),f330(f330(f83(a930),x40263),x40262)),f330(f330(f83(a930),f330(f330(f82(a930),x40261),x40263)),x40262)) % 242.40/242.47 [4027]E(f330(f330(f23(a1),f330(f330(f83(a1),x40271),x40272)),f330(f330(f83(a1),x40273),x40272)),f330(f330(f83(a1),f330(f330(f23(a1),x40271),x40273)),x40272)) % 242.40/242.47 [4028]E(f330(f330(f82(a1),f330(f330(f83(a1),x40281),x40282)),f330(f330(f83(a1),x40283),x40282)),f330(f330(f83(a1),f330(f330(f82(a1),x40281),x40283)),x40282)) % 242.40/242.47 [4030]E(f330(f330(f237(a930),f330(f330(f23(a930),x40301),x40302)),f330(f330(f23(a930),x40303),x40302)),f330(f330(f23(a930),f330(f330(f237(a930),x40301),x40303)),x40302)) % 242.40/242.47 [4052]E(f330(f330(f104(f937(f931(x40521),a925)),f163(x40521,x40522)),f163(x40521,x40523)),f163(x40521,f330(f330(f104(f937(x40521,a925)),x40522),x40523))) % 242.40/242.47 [4055]E(f330(f330(f113(f937(x40551,a925)),x40552),f330(f330(f113(f937(x40551,a925)),x40552),x40553)),f330(f330(f113(f937(x40551,a925)),x40552),x40553)) % 242.40/242.47 [4056]E(f330(f330(f113(f937(x40561,a925)),x40562),f330(f330(f23(f937(x40561,a925)),x40563),x40562)),f330(f330(f113(f937(x40561,a925)),x40562),x40563)) % 242.40/242.47 [4057]E(f330(f330(f104(f937(x40571,a925)),x40572),f330(f330(f104(f937(x40571,a925)),x40572),x40573)),f330(f330(f104(f937(x40571,a925)),x40572),x40573)) % 242.40/242.47 [4069]E(f330(f330(f292(x40691,x40692,x40692),x40693),f310(x40692,f191(f937(f936(x40692,x40692),a925)))),x40693) % 242.40/242.47 [4072]E(f330(f330(f113(f937(x40721,a925)),f330(f330(f312(x40721),x40722),f191(f937(x40721,a925)))),x40723),f330(f330(f312(x40721),x40722),x40723)) % 242.40/242.47 [4091]E(f330(f330(f23(a930),f330(f330(f23(a930),f330(a115,x40911)),x40912)),f330(a115,x40913)),f330(f330(f23(a930),f330(f330(f23(a930),x40911),x40912)),x40913)) % 242.40/242.47 [4119]E(f330(f330(f104(f937(f937(x41191,a925),a925)),f330(f311(x41191),x41192)),f330(f311(x41191),x41193)),f330(f311(x41191),f330(f330(f104(f937(x41191,a925)),x41192),x41193))) % 242.40/242.47 [4122]E(f330(f330(f113(f937(x41221,a925)),f330(f81(f937(x41221,a925)),x41222)),x41223),f330(f81(f937(x41221,a925)),f330(f330(f23(f937(x41221,a925)),x41222),x41223))) % 242.40/242.47 [4132]E(f330(f330(f312(x41321),x41322),f330(f330(f23(f937(x41321,a925)),x41323),f330(f330(f312(x41321),x41322),f191(f937(x41321,a925))))),f330(f330(f312(x41321),x41322),x41323)) % 242.40/242.47 [4142]P1(f330(f330(f239(f937(x41421,a925)),x41422),f330(f330(f113(f937(x41421,a925)),x41423),x41422))) % 242.40/242.47 [4143]P1(f330(f330(f239(f937(x41431,a925)),x41432),f330(f330(f113(f937(x41431,a925)),x41432),x41433))) % 242.40/242.47 [4147]E(f330(f330(f104(f937(x41471,a925)),f330(f81(f937(x41471,a925)),x41472)),f330(f81(f937(x41471,a925)),x41473)),f330(f81(f937(x41471,a925)),f330(f330(f113(f937(x41471,a925)),x41472),x41473))) % 242.40/242.47 [4148]E(f330(f330(f113(f937(x41481,a925)),f330(f81(f937(x41481,a925)),x41482)),f330(f81(f937(x41481,a925)),x41483)),f330(f81(f937(x41481,a925)),f330(f330(f104(f937(x41481,a925)),x41482),x41483))) % 242.40/242.47 [4162]P1(f330(f330(f239(f937(x41621,a925)),f330(f175(x41621),x41622)),f330(f175(x41621),f330(f330(f154(x41621),x41623),x41622)))) % 242.40/242.47 [4174]E(f330(f330(f113(f937(x41741,a925)),f330(f330(f23(f937(x41741,a925)),x41742),x41743)),f330(f330(f104(f937(x41741,a925)),x41742),x41743)),x41742) % 242.40/242.47 [4227]E(f330(f330(f6(x42271,a1),f330(f330(f8(a930,a1,x42271),f103(a1)),x42272)),x42273),f330(f103(a1),f330(f330(f6(x42271,a930),x42272),x42273))) % 242.40/242.47 [4228]E(f330(f330(f9(x42281,a1),f330(f330(f8(a930,a1,x42281),f103(a1)),x42282)),x42283),f330(f103(a1),f330(f330(f9(x42281,a930),x42282),x42283))) % 242.40/242.47 [4275]E(f330(f330(f137(x42751),f180(x42751,x42752,x42753)),f330(f330(f141(x42751),f330(f192(f931(x42751)),f180(x42751,x42752,x42753))),x42753)),x42753) % 242.40/242.47 [4279]E(f330(f81(f937(f936(x42791,x42792),a925)),f330(f330(f258(x42791,x42792),x42793),f330(f16(f937(x42792,a925),x42791),f246(f937(x42792,a925))))),f330(f330(f258(x42791,x42792),f330(f81(f937(x42791,a925)),x42793)),f330(f16(f937(x42792,a925),x42791),f246(f937(x42792,a925))))) % 242.40/242.47 [4280]E(f330(f81(f937(f936(x42801,x42802),a925)),f330(f330(f258(x42801,x42802),f246(f937(x42801,a925))),f330(f16(f937(x42802,a925),x42801),x42803))),f330(f330(f258(x42801,x42802),f246(f937(x42801,a925))),f330(f16(f937(x42802,a925),x42801),f330(f81(f937(x42802,a925)),x42803)))) % 242.40/242.47 [4331]E(f330(f330(f41(f937(x43311,a925),f937(x43311,a925)),x43312),f330(f330(f7(f937(x43311,a925),f937(x43311,a925),f937(x43311,a925)),f104(f937(x43311,a925))),x43313)),f330(f330(f104(f937(x43311,a925)),f39(f937(x43311,a925),x43312)),x43313)) % 242.40/242.47 [4337]E(f330(f145(f931(x43371),f931(x43371),f137(x43371),f116(x43371)),f330(f330(f154(f931(x43371)),x43372),x43373)),f330(f330(f137(x43371),x43372),f330(f145(f931(x43371),f931(x43371),f137(x43371),f116(x43371)),x43373))) % 242.40/242.47 [4358]E(f330(f330(f312(f937(x43581,a925)),f330(f289(x43581,x43581,x43582),f330(f330(f312(x43581),x43583),f191(f937(x43581,a925))))),f191(f937(f937(x43581,a925),a925))),f330(f330(f62(x43581),f330(f330(f312(x43581),x43583),f191(f937(x43581,a925)))),x43582)) % 242.40/242.47 [4368]E(f330(f330(f82(a930),f330(f330(f83(a930),x43681),f330(f330(f38(a930),x43682),x43683))),f330(f330(f38(a930),f330(f330(f83(a930),x43681),f47(a930,x43682,x43683))),x43683)),f330(f330(f38(a930),f330(f330(f83(a930),x43681),x43682)),x43683)) % 242.40/242.47 [4369]E(f330(f330(f82(a1),f330(f330(f83(a1),x43691),f330(f330(f38(a1),x43692),x43693))),f330(f330(f38(a1),f330(f330(f83(a1),x43691),f47(a1,x43692,x43693))),x43693)),f330(f330(f38(a1),f330(f330(f83(a1),x43691),x43692)),x43693)) % 242.40/242.47 [4401]E(f330(f330(f23(f937(x44011,a925)),f330(f175(x44011),x44012)),f330(f330(f312(x44011),x44013),f191(f937(x44011,a925)))),f330(f175(x44011),f330(f139(x44011,f330(f330(f8(a925,a925,x44011),a325),f330(a327,x44013))),x44012))) % 242.40/242.47 [4452]E(f330(f330(f137(x44521),f330(f145(f931(x44521),f931(x44521),f137(x44521),f116(x44521)),x44522)),f330(f145(f931(x44521),f931(x44521),f137(x44521),f116(x44521)),x44523)),f330(f145(f931(x44521),f931(x44521),f137(x44521),f116(x44521)),f330(f330(f137(f931(x44521)),x44522),x44523))) % 242.40/242.47 [4455]E(f330(f330(f256(f931(x44551),f931(x44551)),f330(f139(x44551,x44552),x44553)),f330(f139(x44551,f330(f74(a925,a925,x44551,a325),x44552)),x44553)),f169(x44551,x44552,x44553)) % 242.40/242.47 [4458]E(f330(f330(f82(a930),f330(f330(f82(a930),f330(f330(f38(a930),x44581),x44582)),f330(f330(f38(a930),x44583),x44582))),f330(f330(f38(a930),f330(f330(f82(a930),f47(a930,x44581,x44582)),f47(a930,x44583,x44582))),x44582)),f330(f330(f38(a930),f330(f330(f82(a930),x44581),x44583)),x44582)) % 242.40/242.47 [4459]E(f330(f330(f82(a1),f330(f330(f82(a1),f330(f330(f38(a1),x44591),x44592)),f330(f330(f38(a1),x44593),x44592))),f330(f330(f38(a1),f330(f330(f82(a1),f47(a1,x44591,x44592)),f47(a1,x44593,x44592))),x44592)),f330(f330(f38(a1),f330(f330(f82(a1),x44591),x44593)),x44592)) % 242.40/242.47 [4512]E(f330(f330(f104(f937(f931(x45121),a925)),f330(f330(f7(f931(x45121),f937(f931(x45121),a925),a925),f332(f931(x45121))),f164(x45121,x45122))),f330(f330(f7(f931(x45121),f937(f931(x45121),a925),a925),f332(f931(x45121))),f164(x45121,x45123))),f163(x45121,f330(f330(f104(f937(x45121,a925)),f330(f330(f7(x45121,f937(x45121,a925),a925),f332(x45121)),x45122)),f330(f330(f7(x45121,f937(x45121,a925),a925),f332(x45121)),x45123)))) % 242.40/242.47 [4524]E(f330(f266(x45241),f330(f330(f18(x45241,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45241),a329),f330(f330(f7(x45241,x45241,a925),a327),x45242))),f330(f330(f7(x45241,f937(x45241,a925),a925),f332(x45241)),x45243))),f330(f330(f312(x45241),x45242),x45243)) % 242.40/242.47 [4544]E(f330(f330(f88(f931(f931(x45441)),f931(f931(x45441))),f56(x45441,x45442)),f330(f330(f18(f931(f931(x45441)),f931(f931(x45441)),f931(f931(x45441))),f330(f330(f8(f931(f931(x45441)),f937(f931(f931(x45441)),f931(f931(x45441))),f931(f931(x45441))),f137(f931(x45441))),f330(f157(f931(x45441),f931(x45441)),f330(f154(x45441),x45443)))),f5(f931(f931(x45441))))),f56(x45441,f330(f330(f154(x45441),x45443),x45442))) % 242.40/242.47 [4547]E(f330(f266(x45471),f330(f330(f18(x45471,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45471),a329),f330(f330(f7(x45471,f937(x45471,a925),a925),f332(x45471)),x45472))),f330(f330(f7(x45471,f937(x45471,a925),a925),f332(x45471)),x45473))),f330(f330(f113(f937(x45471,a925)),x45472),x45473)) % 242.40/242.47 [4548]E(f330(f266(x45481),f330(f330(f18(x45481,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45481),a328),f330(f330(f7(x45481,f937(x45481,a925),a925),f332(x45481)),x45482))),f330(f330(f7(x45481,f937(x45481,a925),a925),f332(x45481)),x45483))),f330(f330(f104(f937(x45481,a925)),x45482),x45483)) % 242.40/242.47 [4637]E(f330(f330(f41(x46371,f937(f937(x46371,a925),a925)),x46372),f330(f330(f7(x46371,f937(f937(x46371,a925),a925),f937(f937(x46371,a925),a925)),f330(f330(f8(f937(x46371,a925),f937(f937(f937(x46371,a925),a925),f937(f937(x46371,a925),a925)),x46371),f312(f937(x46371,a925))),f330(f330(f8(f937(x46371,a925),f937(x46371,a925),x46371),f289(x46371,x46371,x46373)),f330(f330(f7(x46371,f937(x46371,a925),f937(x46371,a925)),f312(x46371)),f191(f937(x46371,a925)))))),f191(f937(f937(x46371,a925),a925)))),f330(f330(f62(x46371),x46372),x46373)) % 242.40/242.47 [4639]E(f330(f330(f205(x46391),f330(f330(f83(a1),f330(f330(f74(f936(a1,a1),a1,x46391,f255(a1,a1)),f216(x46391)),x46392)),f330(f330(f74(f936(a1,a1),a1,x46391,f255(a1,a1)),f216(x46391)),x46393))),f330(f330(f83(a1),f330(f330(f74(f936(a1,a1),a1,x46391,f260(a1,a1)),f216(x46391)),x46392)),f330(f330(f74(f936(a1,a1),a1,x46391,f260(a1,a1)),f216(x46391)),x46393))),f232(x46391,x46392,x46393)) % 242.40/242.47 [4642]E(f330(f266(f931(x46421)),f330(f330(f18(f931(x46421),a925,a925),f330(f330(f8(a925,f937(a925,a925),f931(x46421)),a328),f330(f330(f7(f931(x46421),a930,a925),f330(f330(f8(a930,f937(a930,a925),f931(x46421)),a327),f192(f931(x46421)))),x46422))),f330(f330(f7(f931(x46421),f937(x46421,a925),a925),f330(f330(f8(f937(x46421,a925),f937(f937(x46421,a925),a925),f931(x46421)),f239(f937(x46421,a925))),f175(x46421))),f330(f175(x46421),x46423)))),f330(f175(f931(x46421)),f57(x46421,x46422,x46423))) % 242.40/242.47 [4043]E(f47(a930,f330(f330(f82(a930),f330(f330(f83(a930),x40431),x40432)),x40433),x40432),f47(a930,x40433,x40432)) % 242.40/242.47 [4090]E(f142(a930,f330(f305(a930,f330(f330(f82(a930),x40901),x40902)),x40903)),f330(f330(f141(a930),x40902),f142(a930,f330(f305(a930,x40901),x40903)))) % 242.40/242.47 [4131]E(f330(f330(f82(a1),f330(f103(a1),x41311)),f330(f330(f82(a1),f330(f103(a1),x41312)),x41313)),f330(f330(f82(a1),f330(f103(a1),f330(f330(f82(a930),x41311),x41312))),x41313)) % 242.40/242.47 [4138]E(f330(f330(f113(f937(x41381,a925)),f330(f330(f23(f937(x41381,a925)),x41382),x41383)),x41383),f330(f330(f113(f937(x41381,a925)),x41382),x41383)) % 242.40/242.47 [4139]E(f330(f330(f23(f937(x41391,a925)),f330(f330(f23(f937(x41391,a925)),x41392),x41393)),x41393),f330(f330(f23(f937(x41391,a925)),x41392),x41393)) % 242.40/242.47 [4163]E(f330(f330(f292(x41631,x41631,x41632),f310(x41631,f191(f937(f936(x41631,x41631),a925)))),x41633),x41633) % 242.40/242.47 [4171]E(f330(f330(f113(f937(x41711,a925)),f330(f285(x41711),x41712)),f330(f285(x41711),x41713)),f330(f285(x41711),f330(f330(f113(f937(f936(x41711,x41711),a925)),x41712),x41713))) % 242.40/242.47 [4181]E(f270(x41811,f330(f330(f154(f936(a102,x41811)),f330(f330(f256(a102,x41811),f2(a102)),x41812)),x41813)),f270(x41811,x41813)) % 242.40/242.47 [4183]E(f330(f330(f104(f937(x41831,a925)),f40(f937(x41831,a925),x41832)),f40(f937(x41831,a925),x41833)),f40(f937(x41831,a925),f330(f330(f113(f937(f937(x41831,a925),a925)),x41832),x41833))) % 242.40/242.47 [4184]E(f330(f330(f113(f937(x41841,a925)),f39(f937(x41841,a925),x41842)),f39(f937(x41841,a925),x41843)),f39(f937(x41841,a925),f330(f330(f113(f937(f937(x41841,a925),a925)),x41842),x41843))) % 242.40/242.47 [4221]E(f330(f330(f292(x42211,x42211,x42211),f330(f330(f186(f936(x42211,x42211),a925),x42212),x42213)),x42213),f330(f330(f186(f936(x42211,x42211),a925),f330(a115,x42212)),x42213)) % 242.40/242.47 [4267]P1(f330(f330(f239(f937(x42671,a925)),f330(f330(f23(f937(x42671,a925)),x42672),x42673)),x42672)) % 242.40/242.47 [4268]P1(f330(f330(f239(f937(x42681,a925)),f330(f330(f104(f937(x42681,a925)),x42682),x42683)),x42683)) % 242.40/242.47 [4269]P1(f330(f330(f239(f937(x42691,a925)),f330(f330(f104(f937(x42691,a925)),x42692),x42693)),x42692)) % 242.40/242.47 [4293]E(f310(x42931,f330(f330(f113(f937(f936(x42931,x42931),a925)),f310(x42931,x42932)),f310(x42931,x42933))),f310(x42931,f330(f330(f113(f937(f936(x42931,x42931),a925)),x42932),x42933))) % 242.40/242.47 [4297]E(f39(f937(x42971,a925),f330(f330(f312(f937(x42971,a925)),x42972),f330(f330(f312(f937(x42971,a925)),x42973),f191(f937(f937(x42971,a925),a925))))),f330(f330(f113(f937(x42971,a925)),x42972),x42973)) % 242.40/242.47 [4298]E(f40(f937(x42981,a925),f330(f330(f312(f937(x42981,a925)),x42982),f330(f330(f312(f937(x42981,a925)),x42983),f191(f937(f937(x42981,a925),a925))))),f330(f330(f104(f937(x42981,a925)),x42982),x42983)) % 242.40/242.47 [4303]E(f330(f330(f292(x43031,x43031,x43031),f330(f330(f186(f936(x43031,x43031),a925),x43032),x43033)),x43033),f330(f330(f292(x43031,x43031,x43031),x43033),f330(f330(f186(f936(x43031,x43031),a925),x43032),x43033))) % 242.40/242.47 [4372]E(f330(f330(f113(f937(x43721,a925)),f330(f266(x43721),f330(f330(f7(x43721,x43721,a925),a327),x43722))),x43723),f330(f330(f312(x43721),x43722),x43723)) % 242.40/242.47 [4374]E(f330(a107,f330(f330(f6(x43741,a1),f330(f330(f8(a930,a1,x43741),f103(a1)),x43742)),x43743)),f330(f330(f6(x43741,a930),x43742),x43743)) % 242.40/242.47 [4375]E(f330(a107,f330(f330(f9(x43751,a1),f330(f330(f8(a930,a1,x43751),f103(a1)),x43752)),x43753)),f330(f330(f9(x43751,a930),x43752),x43753)) % 242.40/242.47 [4449]E(f330(f159(f931(x44491),x44491,f330(f174(x44491),x44492),f330(f16(f937(f931(x44491),f931(x44491)),x44491),f330(f330(f7(f931(x44491),f931(x44491),f931(x44491)),f137(x44491)),x44492))),x44493),f330(f174(x44491),f330(f330(f137(x44491),x44493),x44492))) % 242.40/242.47 [4477]P1(f330(f330(f239(f937(f937(x44771,a925),a925)),f330(f330(f113(f937(f937(x44771,a925),a925)),f330(f311(x44771),x44772)),f330(f311(x44771),x44773))),f330(f311(x44771),f330(f330(f113(f937(x44771,a925)),x44772),x44773)))) % 242.40/242.47 [4566]E(f330(f266(x45661),f330(f330(f18(x45661,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45661),a328),f330(f330(f7(x45661,f937(x45661,a925),a925),f332(x45661)),x45662))),f330(f330(f8(a925,a925,x45661),a325),f330(f330(f7(x45661,f937(x45661,a925),a925),f332(x45661)),x45663)))),f330(f330(f23(f937(x45661,a925)),x45662),x45663)) % 242.40/242.47 [4590]E(f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,a930,a925),f240(a930)),f330(f192(f931(x45901)),x45902)))),f330(f330(f8(x45901,a925,a930),x45903),f330(f167(x45901),x45902))))),f330(f192(f931(x45901)),f330(f139(x45901,x45903),x45902))) % 242.40/242.47 [4592]E(f330(f192(f931(x45921)),f179(x45921,x45922,x45923)),f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,a930,a925),f240(a930)),f330(f192(f931(x45921)),x45922)))),f330(f330(f7(a930,f937(a930,a925),a925),f332(a930)),x45923))))) % 242.40/242.47 [4688]E(f330(f330(f104(f937(f936(f931(x46881),f931(x46881)),a925)),f330(f313(f936(f936(x46881,f931(x46881)),f936(x46881,f931(x46881))),f936(f931(x46881),f931(x46881)),f262(f936(x46881,f931(x46881)),f931(x46881),f936(x46881,f931(x46881)),f931(x46881),f330(f261(x46881,f931(x46881),f931(x46881)),f154(x46881)),f330(f261(x46881,f931(x46881),f931(x46881)),f154(x46881)))),f323(x46881,f931(x46881),x46882,f330(f146(x46881,x46882),x46883)))),f330(f266(f936(f931(x46881),f931(x46881))),f330(f261(f931(x46881),f931(x46881),a925),f330(f330(f7(f931(x46881),f937(f931(x46881),a925),f937(f931(x46881),a925)),f330(f330(f8(f937(a925,a925),f937(f937(f931(x46881),a925),f937(f931(x46881),a925)),f931(x46881)),f8(a925,a925,f931(x46881))),f330(f330(f8(a925,f937(a925,a925),f931(x46881)),a328),f330(f330(f7(f931(x46881),a930,a925),f330(f330(f8(a930,f937(a930,a925),f931(x46881)),a327),f192(f931(x46881)))),f330(a115,x46883))))),f330(f330(f7(f931(x46881),a930,a925),f330(f330(f8(a930,f937(a930,a925),f931(x46881)),a327),f192(f931(x46881)))),f330(a115,x46883)))))),f330(f146(x46881,x46882),f330(a115,x46883))) % 242.40/242.47 [4185]E(f47(a930,f330(a115,f330(f330(f82(a930),f330(f330(f83(a930),x41851),x41852)),x41853)),x41852),f47(a930,f330(a115,x41853),x41852)) % 242.40/242.47 [4434]E(f330(f266(x44341),f330(f330(f18(x44341,a925,a925),f330(f330(f8(a925,f937(a925,a925),x44341),a328),x44342)),x44343)),f330(f330(f104(f937(x44341,a925)),f330(f266(x44341),x44342)),f330(f266(x44341),x44343))) % 242.40/242.47 [4435]E(f330(f266(x44351),f330(f330(f18(x44351,a925,a925),f330(f330(f8(a925,f937(a925,a925),x44351),a329),x44352)),x44353)),f330(f330(f113(f937(x44351,a925)),f330(f266(x44351),x44352)),f330(f266(x44351),x44353))) % 242.40/242.47 [4437]E(f330(f330(f137(x44371),f330(f330(f141(x44371),f47(a930,x44372,f330(f192(f931(x44371)),x44373))),x44373)),f330(f330(f178(x44371),f47(a930,x44372,f330(f192(f931(x44371)),x44373))),x44373)),f330(f330(f330(f186(f931(x44371),f931(x44371)),x44372),f170(x44371)),x44373)) % 242.40/242.47 [4444]E(f330(f266(x44441),f330(f330(f18(x44441,a925,a925),f330(f330(f8(a925,f937(a925,a925),x44441),a333),x44442)),x44443)),f330(f330(f113(f937(x44441,a925)),f330(f81(f937(x44441,a925)),f330(f266(x44441),x44442))),f330(f266(x44441),x44443))) % 242.40/242.47 [4460]E(f330(f330(f82(a930),f330(f192(f931(x44601)),f330(f139(x44601,x44602),x44603))),f330(f192(f931(x44601)),f330(f139(x44601,f330(f330(f8(a925,a925,x44601),a325),x44602)),x44603))),f330(f192(f931(x44601)),x44603)) % 242.40/242.47 [4483]P1(f330(f330(f239(f937(x44831,a925)),f330(f330(f113(f937(x44831,a925)),f40(f937(x44831,a925),x44832)),f40(f937(x44831,a925),x44833))),f40(f937(x44831,a925),f330(f330(f104(f937(f937(x44831,a925),a925)),x44832),x44833)))) % 242.40/242.47 [4497]E(f330(f175(x44971),f330(f139(x44971,f330(f330(f8(a925,a925,x44971),a325),f330(f330(f7(x44971,x44971,a925),a327),x44972))),x44973)),f330(f330(f23(f937(x44971,a925)),f330(f175(x44971),x44973)),f330(f330(f312(x44971),x44972),f191(f937(x44971,a925))))) % 242.40/242.47 [4506]P1(f330(f330(f239(f937(f936(x45061,x45061),a925)),f330(f330(f113(f937(f936(x45061,x45061),a925)),f310(x45061,x45062)),f310(x45061,x45063))),f310(x45061,f330(f330(f113(f937(f936(x45061,x45061),a925)),x45062),x45063)))) % 242.40/242.47 [4529]E(f330(f330(f83(a930),f330(a115,f330(a115,f2(a930)))),f330(f330(f6(a930,a930),f330(f330(f8(a930,a930,a930),f330(f82(a930),x45291)),f330(f330(f7(a930,a930,a930),f83(a930)),x45292))),f330(f286(a930),x45293))),f330(f330(f83(a930),x45293),f330(f330(f82(a930),x45291),f330(f330(f82(a930),x45291),f330(f330(f83(a930),f330(f330(f23(a930),x45293),f80(a930))),x45292))))) % 242.40/242.47 [4539]E(f330(f266(x45391),f330(f330(f18(x45391,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45391),a328),f330(f330(f7(x45391,f937(x45391,a925),a925),f332(x45391)),f330(f175(x45391),x45392)))),x45393)),f330(f175(x45391),f330(f139(x45391,x45393),x45392))) % 242.40/242.47 [4687]E(f330(f266(x46871),f330(f330(f8(f937(a930,a925),a925,x46871),f89(a930)),f330(f330(f7(x46871,f937(a930,a925),f937(a930,a925)),f330(f330(f8(f937(a930,f937(a925,a925)),f937(f937(a930,a925),f937(a930,a925)),x46871),f18(a930,a925,a925)),f330(f330(f8(f937(a930,a925),f937(a930,f937(a925,a925)),x46871),f330(f8(a925,f937(a925,a925),a930),a328)),f330(f330(f7(x46871,f937(a930,x46871),f937(a930,a925)),f330(f330(f8(f937(x46871,a925),f937(f937(a930,x46871),f937(a930,a925)),x46871),f8(x46871,a925,a930)),a327)),f330(f167(x46871),x46872))))),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,a930,a925),f240(a930)),f330(f192(f931(x46871)),x46872)))),f330(f330(f7(a930,f937(a930,a925),a925),f332(a930)),x46873))))),f330(f175(x46871),f179(x46871,x46872,x46873))) % 242.40/242.47 [4579]E(f330(f266(x45791),f330(f330(f18(x45791,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45791),a333),f330(f330(f8(a925,a925,x45791),a325),f330(f330(f7(x45791,x45791,a925),a327),x45792)))),x45793)),f330(f330(f312(x45791),x45792),f330(f266(x45791),x45793))) % 242.40/242.47 [4611]E(f330(f330(f157(f936(x46111,a930),x46111),f255(x46111,a930)),f330(f139(f936(x46111,a930),f330(f330(f7(f936(x46111,a930),f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),f936(x46111,a930)),f332(a930)),f260(x46111,a930))),x46112)),f330(f330(f184(x46111,a930),x46113),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(x46111)),x46113)))))),f179(x46111,x46113,x46112)) % 242.40/242.47 [4638]E(f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f6(a930,a1),f330(f330(f8(a1,a1,a930),f330(f82(a1),x46381)),f330(f330(f7(a930,a1,a1),f330(f330(f8(a1,f937(a1,a1),a930),f83(a1)),f103(a1))),x46382))),f330(f286(a930),x46383))),f330(f330(f83(a1),f330(f103(a1),x46383)),f330(f330(f82(a1),x46381),f330(f330(f82(a1),x46381),f330(f330(f83(a1),f330(f103(a1),f330(f330(f23(a930),x46383),f80(a930)))),x46382))))) % 242.40/242.47 [4680]E(f330(f266(f936(x46801,x46802)),f330(f261(x46801,x46802,a925),f330(f330(f7(x46801,f937(f936(x46802,x46801),a925),f937(x46802,a925)),f330(f330(f8(f937(x46802,f937(f937(f936(x46802,x46801),a925),a925)),f937(f937(f936(x46802,x46801),a925),f937(x46802,a925)),x46801),f7(x46802,f937(f936(x46802,x46801),a925),a925)),f330(f330(f8(f937(x46802,f936(x46802,x46801)),f937(x46802,f937(f937(f936(x46802,x46801),a925),a925)),x46801),f330(f8(f936(x46802,x46801),f937(f937(f936(x46802,x46801),a925),a925),x46802),f332(f936(x46802,x46801)))),f330(f7(x46802,x46801,f936(x46802,x46801)),f256(x46802,x46801))))),x46803))),f330(f290(x46802,x46801),x46803)) % 242.40/242.47 [4700]E(f330(f266(f931(x47001)),f330(f330(f8(f937(x47001,a925),a925,f931(x47001)),f89(x47001)),f330(f330(f8(f937(x47001,f937(f931(x47001),a925)),f937(x47001,a925),f931(x47001)),f330(f8(f937(f931(x47001),a925),a925,x47001),f89(f931(x47001)))),f330(f330(f7(f931(x47001),f937(x47001,f937(f931(x47001),a925)),f937(x47001,f937(f931(x47001),a925))),f330(f330(f8(f937(x47001,f937(f937(f931(x47001),a925),f937(f931(x47001),a925))),f937(f937(x47001,f937(f931(x47001),a925)),f937(x47001,f937(f931(x47001),a925))),f931(x47001)),f18(x47001,f937(f931(x47001),a925),f937(f931(x47001),a925))),f330(f330(f8(f937(x47001,f937(f931(x47001),f937(a925,a925))),f937(x47001,f937(f937(f931(x47001),a925),f937(f931(x47001),a925))),f931(x47001)),f330(f8(f937(f931(x47001),f937(a925,a925)),f937(f937(f931(x47001),a925),f937(f931(x47001),a925)),x47001),f18(f931(x47001),a925,a925))),f330(f330(f8(f937(x47001,f937(f931(x47001),a925)),f937(x47001,f937(f931(x47001),f937(a925,a925))),f931(x47001)),f330(f8(f937(f931(x47001),a925),f937(f931(x47001),f937(a925,a925)),x47001),f330(f8(a925,f937(a925,a925),f931(x47001)),a328))),f330(f330(f7(f931(x47001),f937(x47001,f937(f931(x47001),f931(x47001))),f937(x47001,f937(f931(x47001),a925))),f330(f330(f8(f937(f937(f931(x47001),f931(x47001)),f937(f931(x47001),a925)),f937(f937(x47001,f937(f931(x47001),f931(x47001))),f937(x47001,f937(f931(x47001),a925))),f931(x47001)),f8(f937(f931(x47001),f931(x47001)),f937(f931(x47001),a925),x47001)),f330(f330(f8(f937(f931(x47001),a925),f937(f937(f931(x47001),f931(x47001)),f937(f931(x47001),a925)),f931(x47001)),f8(f931(x47001),a925,f931(x47001))),a327))),f154(x47001)))))),f330(f330(f7(x47001,f937(f931(x47001),a925),f937(f931(x47001),a925)),f330(f330(f8(f937(a925,a925),f937(f937(f931(x47001),a925),f937(f931(x47001),a925)),x47001),f8(a925,a925,f931(x47001))),f330(f330(f8(a925,f937(a925,a925),x47001),a328),f330(f330(f7(x47001,f937(x47001,a925),a925),f332(x47001)),x47002)))),f330(f330(f7(f931(x47001),f937(f931(x47001),a925),a925),f332(f931(x47001))),x47003)))))),f177(x47001,x47002,x47003)) % 242.40/242.47 [4697]E(f330(f330(f88(a1,f936(a1,a1)),f330(f330(f23(a1),x46971),x46972)),f330(f330(f7(a1,f936(a1,a1),f936(a1,a1)),f330(f330(f18(a1,f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),f330(f330(f8(a925,f937(f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),a1),f99(f936(a1,a1))),f330(f239(a1),f2(a1)))),f330(f256(a1,a1),f330(f330(f82(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x46973)),f80(a1))))),f330(f330(f256(a1,a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x46973)),x46971))),f330(f45(x46972),f330(f330(f256(a1,a1),x46973),x46971))) % 242.40/242.47 [4726]~E(f31(x47261,x47262),f32(x47263,x47264)) % 242.40/242.47 [4745]~E(f330(a26,x47451),f29(x47452,x47453,x47454)) % 242.40/242.47 [4746]~E(f330(a26,x47461),f28(x47462,x47463,x47464)) % 242.40/242.47 [4747]~E(f29(x47471,x47472,x47473),f330(a26,x47474)) % 242.40/242.47 [4748]~E(f28(x47481,x47482,x47483),f330(a26,x47484)) % 242.40/242.47 [3738]E(f119(x37381,f330(x37382,x37383),f330(x37384,x37383)),f330(f207(x37381,x37382,x37384),x37383)) % 242.40/242.47 [3793]E(f330(f330(f249(x37931,x37932,x37933),x37934),f2(a930)),x37932) % 242.40/242.47 [3833]E(f188(x38331,x38332,x38333,f330(a115,x38334)),f330(x38333,x38334)) % 242.40/242.47 [3875]E(f173(x38751,x38752,f173(x38751,x38753,x38754)),f173(x38751,x38753,f173(x38751,x38752,x38754))) % 242.40/242.47 [3876]E(f129(x38761,x38762,f119(x38761,x38763,x38764)),f119(x38761,f129(x38761,x38762,x38763),x38764)) % 242.40/242.47 [4011]E(f330(f159(x40111,x40112,x40113,x40114),f116(x40112)),x40113) % 242.40/242.47 [4012]E(f330(f145(x40121,x40122,x40123,x40124),f116(x40122)),x40124) % 242.40/242.47 [4049]E(f330(f192(f935(x40491,x40492)),f224(x40491,x40492,x40493,x40494)),f2(a930)) % 242.40/242.47 [4074]E(f330(f261(x40741,x40742,x40743),f259(x40741,x40742,x40743,x40744)),x40744) % 242.40/242.47 [4118]E(f330(f330(f137(x41181),f172(x41181,x41182,x41183)),f172(x41181,x41184,x41183)),f330(f330(f137(x41181),f172(x41181,x41184,x41183)),f172(x41181,x41182,x41183))) % 242.40/242.47 [4204]E(f330(f330(f263(x42041,x42042,x42043,f936(x42042,x42043)),x42044),f256(x42042,x42043)),x42044) % 242.40/242.47 [4214]E(f130(x42141,x42142,x42143,x42144,f122(x42142)),x42143) % 242.40/242.47 [4220]E(f76(x42201,x42202,x42203,x42204,f330(x42203,x42204)),x42203) % 242.40/242.47 [4490]P48(x44901,x44902,x44903,x44904,f191(f937(x44901,a925)),x44904) % 242.40/242.47 [3540]E(f330(f330(f16(x35401,x35402),x35403),x35404),x35403) % 242.40/242.47 [3823]E(f173(x38231,x38232,f330(f139(x38231,x38233),x38234)),f330(f139(x38231,x38233),f173(x38231,x38232,x38234))) % 242.40/242.47 [3858]E(f330(f330(f66(x38581,x38582,x38583),x38584),f191(f937(x38581,a925))),x38584) % 242.40/242.47 [3882]E(f330(f330(f167(x38821),f330(f330(f154(x38821),x38822),x38823)),f330(a115,x38824)),f330(f330(f167(x38821),x38823),x38824)) % 242.40/242.47 [3926]P31(x39261,f2(a930),f330(f330(f330(f93(x39261),x39262),f330(a26,x39263)),x39264)) % 242.40/242.47 [3950]E(f330(f330(x39501,x39502),f330(f187(x39503,x39504,x39501),x39502)),f330(f187(x39503,x39504,x39501),f330(a115,x39502))) % 242.40/242.47 [3992]E(f259(x39921,x39922,x39923,f330(f261(x39921,x39922,x39923),x39924)),x39924) % 242.40/242.47 [4047]E(f330(f330(f162(x40471,f330(f330(f154(x40471),x40472),x40473)),f2(a930)),x40474),f330(f330(f154(x40471),x40474),x40473)) % 242.40/242.47 [4059]E(f330(f330(f41(f937(x40591,a925),f937(x40592,a925)),x40593),f313(x40591,x40592,x40594)),f330(f313(x40591,x40592,x40594),f39(f937(x40591,a925),x40593))) % 242.40/242.47 [4060]E(f330(f330(f41(f937(x40601,a925),f937(x40602,a925)),x40603),f314(x40602,x40601,x40604)),f330(f314(x40602,x40601,x40604),f39(f937(x40601,a925),x40603))) % 242.40/242.47 [4085]E(f123(x40851,f133(x40852,f932(x40851),x40853,x40854)),f330(f121(x40852,x40851,x40854),x40853)) % 242.40/242.47 [4159]E(f330(f128(x41591,x41592),f129(x41591,x41593,x41594)),f330(f330(f82(a930),f330(f330(f82(a930),f330(x41592,x41593)),f330(f128(x41591,x41592),x41594))),f330(a115,f2(a930)))) % 242.40/242.47 [4180]E(f330(f145(x41801,x41802,f330(f7(x41802,x41801,x41801),x41803),x41804),f330(f171(x41802),f116(x41802))),x41804) % 242.40/242.47 [4226]E(f78(x42261,x42262,x42263,x42264,f191(f937(x42261,a925))),x42263) % 242.40/242.47 [4287]E(f227(x42871,f936(x42872,f932(x42872)),x42873,f330(f261(x42872,f932(x42872),x42871),x42874),f330(f138(x42872),f122(x42872))),x42873) % 242.40/242.47 [4419]E(f330(f261(x44191,x44192,x44193),f330(f330(f8(f937(x44192,f936(x44191,x44192)),f937(x44192,x44193),x44191),f330(f8(f936(x44191,x44192),x44193,x44192),x44194)),f256(x44191,x44192))),x44194) % 242.40/242.47 [3729]E(f330(f260(x37291,x37292),f330(f330(f256(x37291,x37292),x37293),x37294)),x37294) % 242.40/242.47 [3730]E(f330(f255(x37301,x37302),f330(f330(f256(x37301,x37302),x37303),x37304)),x37303) % 242.40/242.47 [3765]E(f330(f192(f931(x37651)),f330(f330(f162(x37651,x37652),x37653),x37654)),f330(f192(f931(x37651)),x37652)) % 242.40/242.47 [3766]E(f330(f192(f931(x37661)),f330(f330(f157(x37662,x37661),x37663),x37664)),f330(f192(f931(x37662)),x37664)) % 242.40/242.47 [3787]E(f330(f330(f141(x37871),f330(a115,x37872)),f330(f330(f154(x37871),x37873),x37874)),f330(f330(f141(x37871),x37872),x37874)) % 242.40/242.47 [3853]E(f330(f330(f178(x38531),x38532),f172(x38531,x38533,x38534)),f172(x38531,f330(f330(f237(a930),x38532),x38533),x38534)) % 242.40/242.47 [3854]E(f330(f330(f141(x38541),x38542),f172(x38541,x38543,x38544)),f172(x38541,f330(f330(f23(a930),x38543),x38542),x38544)) % 242.40/242.47 [3860]E(f330(f330(f312(x38601),x38602),f330(f330(f312(x38601),x38603),x38604)),f330(f330(f312(x38601),x38603),f330(f330(f312(x38601),x38602),x38604))) % 242.40/242.47 [3864]E(f330(f330(f157(x38641,x38642),x38643),f117(x38641,x38644)),f117(x38642,f330(f330(f157(x38641,x38642),x38643),x38644))) % 242.40/242.47 [3880]E(f330(f171(x38801),f330(f330(f157(x38802,x38801),x38803),x38804)),f330(f330(f157(x38802,x38801),x38803),f330(f171(x38802),x38804))) % 242.40/242.47 [3881]E(f330(f330(f157(x38811,x38812),x38813),f330(f174(x38811),x38814)),f330(f174(x38812),f330(f330(f157(x38811,x38812),x38813),x38814))) % 242.40/242.47 [3895]E(f330(f330(f178(x38951),f330(a115,x38952)),f330(f330(f154(x38951),x38953),x38954)),f330(f330(f154(x38951),x38953),f330(f330(f178(x38951),x38952),x38954))) % 242.40/242.47 [3899]E(f330(f175(x38991),f330(f330(f157(x38992,x38991),x38993),x38994)),f330(f313(x38992,x38991,x38993),f330(f175(x38992),x38994))) % 242.40/242.47 [3912]E(f330(f330(f157(x39121,x39122),f330(f16(x39122,x39121),x39123)),x39124),f172(x39122,f330(f192(f931(x39121)),x39124),x39123)) % 242.40/242.47 [3949]E(f17(x39491,x39492,x39493,f330(a3,f330(a115,f330(a20,x39494)))),f330(x39493,x39494)) % 242.40/242.47 [3953]E(f330(f330(f137(x39531),f330(f139(x39531,x39532),x39533)),f330(f139(x39531,x39532),x39534)),f330(f139(x39531,x39532),f330(f330(f137(x39531),x39533),x39534))) % 242.40/242.47 [3966]E(f155(x39661,f330(f330(f157(x39662,x39661),x39663),f155(x39662,x39664))),f155(x39661,f330(f330(f157(x39662,x39661),x39663),x39664))) % 242.40/242.47 [3981]E(f330(f290(x39811,x39811),f330(f330(f291(x39812,x39811),x39813),x39814)),f330(f330(f291(x39812,x39811),f330(f290(x39812,x39812),x39813)),x39814)) % 242.40/242.47 [3993]E(f330(f330(f292(x39931,x39932,x39933),x39934),f191(f937(f936(x39932,x39933),a925))),f191(f937(f936(x39931,x39933),a925))) % 242.40/242.47 [3994]E(f330(f330(f178(x39941),f330(f330(f23(a930),x39942),x39943)),f330(f330(f141(x39941),x39943),x39944)),f330(f330(f141(x39941),x39943),f330(f330(f178(x39941),x39942),x39944))) % 242.40/242.47 [4013]E(f330(f330(f137(x40131),f172(x40131,x40132,x40133)),f172(x40131,x40134,x40133)),f172(x40131,f330(f330(f82(a930),x40132),x40134),x40133)) % 242.40/242.47 [4014]E(f330(f330(f330(f282(x40141),x40142),x40143),x40144),f330(f256(f937(a102,f937(a925,f934(f932(x40141)))),f936(a102,a102)),f330(f44(x40141),x40142))) % 242.40/242.47 [4040]E(f40(f937(x40401,a925),f330(f313(x40402,f937(x40401,a925),x40403),x40404)),f330(f330(f42(x40402,f937(x40401,a925)),x40404),x40403)) % 242.40/242.47 [4041]E(f39(f937(x40411,a925),f330(f313(x40412,f937(x40411,a925),x40413),x40414)),f330(f330(f41(x40412,f937(x40411,a925)),x40414),x40413)) % 242.40/242.47 [4042]E(f330(f192(f931(f936(x40421,x40422))),f330(f330(f184(x40421,x40422),x40423),x40424)),f330(f330(f237(a930),f330(f192(f931(x40421)),x40423)),f330(f192(f931(x40422)),x40424))) % 242.40/242.47 [4044]E(f330(f314(x40441,x40442,x40443),f330(f81(f937(x40442,a925)),x40444)),f330(f81(f937(x40441,a925)),f330(f314(x40441,x40442,x40443),x40444))) % 242.40/242.47 [4095]E(f330(f314(x40951,x40952,x40953),f330(f266(x40952),x40954)),f330(f266(x40951),f330(f330(f8(x40952,a925,x40951),x40954),x40953))) % 242.40/242.47 [4113]E(f330(f330(f167(x41131),f330(f330(f137(x41131),x41132),f330(f330(f154(x41131),x41133),x41134))),f330(f192(f931(x41131)),x41132)),x41133) % 242.40/242.47 [4136]E(f330(f313(x41361,x41362,x41363),f330(f314(x41361,x41362,x41363),x41364)),f330(f330(f104(f937(x41362,a925)),x41364),f330(f313(x41361,x41362,x41363),f246(f937(x41361,a925))))) % 242.40/242.47 [4155]P1(f330(f330(f332(x41551),f330(x41552,x41553)),f330(f313(x41554,x41551,x41552),f246(f937(x41554,a925))))) % 242.40/242.47 [4164]E(f19(x41641,x41642,x41643,f330(a3,f330(a115,f330(a20,x41644)))),f330(f330(x41643,x41644),f19(x41641,x41642,x41643,x41644))) % 242.40/242.47 [4168]E(f330(f330(f137(x41681),f172(x41681,x41682,x41683)),f330(f330(f154(x41681),x41683),x41684)),f330(f330(f154(x41681),x41683),f330(f330(f137(x41681),f172(x41681,x41682,x41683)),x41684))) % 242.40/242.47 [4170]E(f330(f330(f258(x41701,x41702),f330(f175(x41701),x41703)),f330(f16(f937(x41702,a925),x41701),f330(f175(x41702),x41704))),f330(f175(f936(x41701,x41702)),f61(x41701,x41702,x41703,x41704))) % 242.40/242.47 [4182]E(f158(x41821,x41822,f330(f330(f154(x41821),x41823),x41824)),f330(f330(f82(a930),f330(f330(f82(a930),f330(x41822,x41823)),f158(x41821,x41822,x41824))),f330(a115,f2(a930)))) % 242.40/242.47 [4195]E(f188(f931(x41951),f330(f330(f154(x41951),x41952),x41953),f330(f330(f7(a930,f931(x41951),f931(x41951)),f141(x41951)),x41953),x41954),f330(f330(f141(x41951),x41954),f330(f330(f154(x41951),x41952),x41953))) % 242.40/242.47 [4196]P28(x41961,f936(x41962,x41961),f334(x41963,x41964,x41962,x41961),f330(f330(f41(x41962,f937(x41961,a925)),x41964),x41963)) % 242.40/242.47 [4205]E(f330(f330(f23(f937(x42051,a925)),f330(f330(f23(f937(x42051,a925)),x42052),x42053)),f330(f330(f312(x42051),x42054),f191(f937(x42051,a925)))),f330(f330(f23(f937(x42051,a925)),x42052),f330(f330(f312(x42051),x42054),x42053))) % 242.40/242.47 [4218]E(f330(f330(f186(f937(x42181,x42182),f937(x42181,x42182)),x42183),f74(x42182,x42182,x42181,x42184)),f74(x42182,x42182,x42181,f330(f330(f186(x42182,x42182),x42183),x42184))) % 242.40/242.47 [4292]E(f330(f330(f330(f186(f931(x42921),f931(x42921)),x42922),f170(x42921)),f330(f330(f330(f186(f931(x42921),f931(x42921)),x42923),f170(x42921)),x42924)),f330(f330(f330(f186(f931(x42921),f931(x42921)),f330(f330(f82(a930),x42922),x42923)),f170(x42921)),x42924)) % 242.40/242.47 [4377]P1(f330(f330(f239(f937(x43771,a925)),f330(f175(x43771),f330(f330(f162(x43771,x43772),x43773),x43774))),f330(f330(f312(x43771),x43774),f330(f175(x43771),x43772)))) % 242.40/242.47 [4409]E(f330(f330(f41(f937(x44091,a925),f937(f936(x44091,x44092),a925)),x44093),f330(f330(f7(f937(x44091,a925),f937(x44091,f937(x44092,a925)),f937(f936(x44091,x44092),a925)),f258(x44091,x44092)),x44094)),f330(f330(f258(x44091,x44092),f39(f937(x44091,a925),x44093)),x44094)) % 242.40/242.47 [4448]E(f213(x44481,x44482,x44483,f330(f74(x44482,f937(a102,f937(a102,f937(f936(a102,a102),f937(a102,f932(x44482))))),x44481,f212(x44482)),x44484)),f214(x44481,x44482,x44484,x44483)) % 242.40/242.47 [4463]E(f209(x44631,x44632,x44633,f330(f74(x44632,f937(a102,f937(a102,f937(f936(a102,a102),f937(a102,f932(f934(x44632)))))),x44631,f208(x44632)),x44634)),f210(x44631,x44632,x44634,x44633)) % 242.40/242.47 [4468]P1(f330(f68(x44681,x44682,x44683,x44684,f191(f937(x44681,a925))),x44684)) % 242.40/242.47 [4507]E(f330(f330(f41(x45071,f937(x45072,a925)),x45073),f330(f330(f7(x45071,f937(x45072,a925),f937(x45072,a925)),f330(f330(f8(x45072,f937(f937(x45072,a925),f937(x45072,a925)),x45071),f312(x45072)),x45074)),f191(f937(x45072,a925)))),f330(f313(x45071,x45072,x45074),x45073)) % 242.40/242.47 [4514]P1(f330(f330(f239(f937(x45141,a925)),f330(f288(x45142,x45141),f330(f330(f104(f937(f936(x45142,x45141),a925)),x45143),x45144))),f330(f330(f104(f937(x45141,a925)),f330(f288(x45142,x45141),x45143)),f330(f288(x45142,x45141),x45144)))) % 242.40/242.47 [4515]P1(f330(f330(f239(f937(x45151,a925)),f330(f268(x45151,x45152),f330(f330(f104(f937(f936(x45151,x45152),a925)),x45153),x45154))),f330(f330(f104(f937(x45151,a925)),f330(f268(x45151,x45152),x45153)),f330(f268(x45151,x45152),x45154)))) % 242.40/242.47 [4575]P1(f330(f330(f239(f937(f936(x45751,x45752),a925)),f330(f313(x45752,f936(x45751,x45752),f334(x45753,x45754,x45751,x45752)),f330(f330(f41(x45751,f937(x45752,a925)),x45754),x45753))),f330(f330(f258(x45751,x45752),x45754),x45753))) % 242.40/242.47 [4576]E(f330(f121(x45761,f936(x45761,x45762),x45763),f330(f330(f8(f937(x45762,f932(f936(x45761,x45762))),f932(f936(x45761,x45762)),x45761),f121(x45762,f936(x45761,x45762),x45764)),f330(f330(f8(f937(x45762,f936(x45761,x45762)),f937(x45762,f932(f936(x45761,x45762))),x45761),f330(f8(f936(x45761,x45762),f932(f936(x45761,x45762)),x45762),f132(f936(x45761,x45762)))),f256(x45761,x45762)))),f134(x45761,x45762,x45763,x45764)) % 242.40/242.47 [4577]E(f280(x45771,x45772,x45773,f330(f74(x45772,f937(a102,f937(a102,f937(f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x45772)))),f936(a102,a102))))),x45771,f282(x45772)),x45774)),f283(x45771,x45772,x45774,x45773)) % 242.40/242.47 [4617]E(f87(f936(x46171,x46172),f330(f261(x46171,x46172,a925),f330(f330(f7(x46171,f937(x46172,a925),f937(x46172,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x46172,a925),f937(x46172,a925)),x46171),f8(a925,a925,x46172)),f330(f330(f8(a925,f937(a925,a925),x46171),a328),f330(a327,x46173)))),f330(a327,x46174)))),f330(f330(f256(x46171,x46172),x46173),x46174)) % 242.40/242.47 [4618]E(f92(f936(x46181,x46182),f330(f261(x46181,x46182,a925),f330(f330(f7(x46181,f937(x46182,a925),f937(x46182,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x46182,a925),f937(x46182,a925)),x46181),f8(a925,a925,x46182)),f330(f330(f8(a925,f937(a925,a925),x46181),a328),f330(a327,x46183)))),f330(a327,x46184)))),f330(f330(f256(x46181,x46182),x46183),x46184)) % 242.40/242.47 [4689]E(f330(f330(f261(f931(x46891),f931(x46891),f936(f931(x46891),f931(x46891))),f330(f330(f18(f931(x46891),f937(f931(x46891),f936(f931(x46891),f931(x46891))),f937(f931(x46891),f936(f931(x46891),f931(x46891)))),f330(f330(f8(f937(f931(x46891),f937(f936(f931(x46891),f931(x46891)),f936(f931(x46891),f931(x46891)))),f937(f937(f931(x46891),f936(f931(x46891),f931(x46891))),f937(f931(x46891),f936(f931(x46891),f931(x46891)))),f931(x46891)),f18(f931(x46891),f936(f931(x46891),f931(x46891)),f936(f931(x46891),f931(x46891)))),f330(f330(f8(f937(f931(x46891),f936(f931(x46891),f931(x46891))),f937(f931(x46891),f937(f936(f931(x46891),f931(x46891)),f936(f931(x46891),f931(x46891)))),f931(x46891)),f330(f8(f936(f931(x46891),f931(x46891)),f937(f936(f931(x46891),f931(x46891)),f936(f931(x46891),f931(x46891))),f931(x46891)),f330(f99(f936(f931(x46891),f931(x46891))),f330(x46892,x46893)))),f330(f330(f8(f931(x46891),f937(f931(x46891),f936(f931(x46891),f931(x46891))),f931(x46891)),f256(f931(x46891),f931(x46891))),f330(f154(x46891),x46893))))),f330(f330(f7(f931(x46891),f937(f931(x46891),f931(x46891)),f937(f931(x46891),f936(f931(x46891),f931(x46891)))),f330(f330(f8(f937(f931(x46891),f936(f931(x46891),f931(x46891))),f937(f937(f931(x46891),f931(x46891)),f937(f931(x46891),f936(f931(x46891),f931(x46891)))),f931(x46891)),f8(f931(x46891),f936(f931(x46891),f931(x46891)),f931(x46891))),f256(f931(x46891),f931(x46891)))),f330(f154(x46891),x46893)))),f169(x46891,x46892,x46894)),f169(x46891,x46892,f330(f330(f154(x46891),x46893),x46894))) % 242.40/242.47 [3805]E(f330(f192(f929(x38051)),f330(f330(f330(f93(x38051),x38052),x38053),x38054)),f2(a930)) % 242.40/242.47 [3929]E(f330(f330(f178(x39291),x39292),f330(f330(f178(x39291),x39293),x39294)),f330(f330(f178(x39291),f330(f330(f237(a930),x39292),x39293)),x39294)) % 242.40/242.47 [3930]E(f330(f330(f141(x39301),x39302),f330(f330(f141(x39301),x39303),x39304)),f330(f330(f141(x39301),f330(f330(f82(a930),x39302),x39303)),x39304)) % 242.40/242.47 [3941]E(f330(f330(f137(x39411),f330(f330(f154(x39411),x39412),x39413)),x39414),f330(f330(f154(x39411),x39412),f330(f330(f137(x39411),x39413),x39414))) % 242.40/242.47 [3942]E(f330(f330(f137(x39421),f330(f330(f137(x39421),x39422),x39423)),x39424),f330(f330(f137(x39421),x39422),f330(f330(f137(x39421),x39423),x39424))) % 242.40/242.47 [4024]E(f330(f330(f167(x40241),f330(f330(f154(x40241),x40242),x40243)),x40244),f188(x40241,x40242,f330(f167(x40241),x40243),x40244)) % 242.40/242.47 [4033]E(f330(f330(f186(x40331,x40331),x40332),f330(f330(f186(x40331,x40331),x40333),x40334)),f330(f330(f186(x40331,x40331),f330(f330(f83(a930),x40333),x40332)),x40334)) % 242.40/242.47 [4062]E(f330(f330(f113(f937(x40621,a925)),x40622),f330(f330(f312(x40621),x40623),x40624)),f330(f330(f312(x40621),x40623),f330(f330(f113(f937(x40621,a925)),x40622),x40624))) % 242.40/242.47 [4077]E(f330(f330(f330(f186(x40771,x40771),x40772),x40773),f330(x40773,x40774)),f330(x40773,f330(f330(f330(f186(x40771,x40771),x40772),x40773),x40774))) % 242.40/242.47 [4086]E(f330(f330(f292(x40861,x40862,x40863),f191(f937(f936(x40861,x40862),a925))),x40864),f191(f937(f936(x40861,x40863),a925))) % 242.40/242.47 [4101]E(f330(f330(f113(f937(x41011,a925)),f330(f330(f312(x41011),x41012),x41013)),x41014),f330(f330(f312(x41011),x41012),f330(f330(f113(f937(x41011,a925)),x41013),x41014))) % 242.40/242.47 [4120]E(f330(f37(f936(x41201,x41202)),f330(f330(f258(x41201,x41202),x41203),f330(f16(f937(x41202,a925),x41201),x41204))),f330(f330(f83(a930),f330(f37(x41201),x41203)),f330(f37(x41202),x41204))) % 242.40/242.47 [4127]E(f330(f330(f104(f937(x41271,a925)),f330(f330(f312(x41271),x41272),x41273)),f330(f330(f312(x41271),x41272),x41274)),f330(f330(f312(x41271),x41272),f330(f330(f104(f937(x41271,a925)),x41273),x41274))) % 242.40/242.47 [4140]E(f330(f330(f113(f937(x41401,a925)),x41402),f330(f330(f113(f937(x41401,a925)),x41403),x41404)),f330(f330(f113(f937(x41401,a925)),x41403),f330(f330(f113(f937(x41401,a925)),x41402),x41404))) % 242.40/242.47 [4141]E(f330(f330(f104(f937(x41411,a925)),x41412),f330(f330(f104(f937(x41411,a925)),x41413),x41414)),f330(f330(f104(f937(x41411,a925)),x41413),f330(f330(f104(f937(x41411,a925)),x41412),x41414))) % 242.40/242.47 [4151]E(f66(x41511,x41512,f330(f330(f8(x41512,f937(x41512,x41512),x41511),x41513),x41514)),f330(f67(x41512,x41511,x41513),x41514)) % 242.40/242.47 [4160]E(f182(x41601,f330(f330(f157(f931(x41602),f931(x41601)),f330(f157(x41602,x41601),x41603)),x41604)),f330(f330(f157(f931(x41602),f931(x41601)),f330(f157(x41602,x41601),x41603)),f182(x41602,x41604))) % 242.40/242.47 [4179]E(f330(f145(f931(x41791),f931(x41791),f137(x41791),f116(x41791)),f330(f330(f157(x41792,f931(x41791)),x41793),x41794)),f166(x41792,x41791,x41793,x41794)) % 242.40/242.47 [4239]E(f330(f74(x42391,x42391,x42391,f330(f330(f186(x42391,x42391),x42392),x42393)),f330(f330(f186(x42391,x42391),x42394),x42393)),f330(f330(f186(x42391,x42391),f330(f330(f82(a930),x42392),x42394)),x42393)) % 242.40/242.47 [4262]E(f330(f330(f104(f937(x42621,a925)),f330(f330(f113(f937(x42621,a925)),x42622),x42623)),f330(f330(f113(f937(x42621,a925)),x42622),x42624)),f330(f330(f113(f937(x42621,a925)),x42622),f330(f330(f104(f937(x42621,a925)),x42623),x42624))) % 242.40/242.47 [4263]E(f330(f330(f104(f937(x42631,a925)),f330(f330(f23(f937(x42631,a925)),x42632),x42633)),f330(f330(f23(f937(x42631,a925)),x42632),x42634)),f330(f330(f23(f937(x42631,a925)),x42632),f330(f330(f113(f937(x42631,a925)),x42633),x42634))) % 242.40/242.47 [4264]E(f330(f330(f113(f937(x42641,a925)),f330(f330(f23(f937(x42641,a925)),x42642),x42643)),f330(f330(f23(f937(x42641,a925)),x42642),x42644)),f330(f330(f23(f937(x42641,a925)),x42642),f330(f330(f104(f937(x42641,a925)),x42643),x42644))) % 242.40/242.47 [4265]E(f330(f330(f113(f937(x42651,a925)),f330(f330(f104(f937(x42651,a925)),x42652),x42653)),f330(f330(f104(f937(x42651,a925)),x42652),x42654)),f330(f330(f104(f937(x42651,a925)),x42652),f330(f330(f113(f937(x42651,a925)),x42653),x42654))) % 242.40/242.47 [4266]E(f330(f330(f23(f937(x42661,a925)),f330(f330(f104(f937(x42661,a925)),x42662),x42663)),f330(f330(f104(f937(x42661,a925)),x42662),x42664)),f330(f330(f104(f937(x42661,a925)),x42662),f330(f330(f23(f937(x42661,a925)),x42663),x42664))) % 242.40/242.47 [4271]E(f330(f37(f936(x42711,x42712)),f330(f330(f258(x42711,x42712),f330(f330(f312(x42711),x42713),f191(f937(x42711,a925)))),f330(f16(f937(x42712,a925),x42711),x42714))),f330(f37(x42712),x42714)) % 242.40/242.47 [4306]E(f330(f330(f42(x43061,f937(x43062,a925)),x43063),f330(f330(f8(f937(x43062,a925),f937(x43062,a925),x43061),f81(f937(x43062,a925))),x43064)),f330(f81(f937(x43062,a925)),f330(f330(f41(x43061,f937(x43062,a925)),x43063),x43064))) % 242.40/242.47 [4307]E(f330(f330(f41(x43071,f937(x43072,a925)),x43073),f330(f330(f8(f937(x43072,a925),f937(x43072,a925),x43071),f81(f937(x43072,a925))),x43074)),f330(f81(f937(x43072,a925)),f330(f330(f42(x43071,f937(x43072,a925)),x43073),x43074))) % 242.40/242.47 [4323]E(f330(f330(f292(x43231,x43231,x43231),f330(f330(f186(f936(x43231,x43231),a925),x43232),x43233)),f330(f330(f186(f936(x43231,x43231),a925),x43234),x43233)),f330(f330(f186(f936(x43231,x43231),a925),f330(f330(f82(a930),x43232),x43234)),x43233)) % 242.40/242.47 [4353]E(f330(f330(f42(x43531,f937(f937(x43532,a925),a925)),x43533),f330(f330(f8(f937(x43532,a925),f937(f937(x43532,a925),a925),x43531),f311(x43532)),x43534)),f330(f311(x43532),f330(f330(f42(x43531,f937(x43532,a925)),x43533),x43534))) % 242.40/242.47 [4382]E(f330(f330(f41(f937(x43821,a925),f937(x43822,a925)),x43823),f330(f330(f7(f937(x43821,a925),f937(x43821,f937(x43822,a925)),f937(x43822,a925)),f41(x43821,f937(x43822,a925))),x43824)),f330(f330(f41(x43821,f937(x43822,a925)),f39(f937(x43821,a925),x43823)),x43824)) % 242.40/242.47 [4383]E(f330(f330(f42(f937(x43831,a925),f937(x43832,a925)),x43833),f330(f330(f7(f937(x43831,a925),f937(x43831,f937(x43832,a925)),f937(x43832,a925)),f42(x43831,f937(x43832,a925))),x43834)),f330(f330(f42(x43831,f937(x43832,a925)),f39(f937(x43831,a925),x43833)),x43834)) % 242.40/242.47 [4388]E(f330(f330(f157(x43881,x43882),x43883),f330(f145(f931(x43881),f931(x43881),f137(x43881),f116(x43881)),x43884)),f330(f145(f931(x43882),f931(x43882),f137(x43882),f116(x43882)),f330(f330(f157(f931(x43881),f931(x43882)),f330(f157(x43881,x43882),x43883)),x43884))) % 242.40/242.47 [4390]E(f188(f931(x43901),f116(x43901),f330(f330(f8(f931(x43901),f931(x43901),a930),f330(f154(x43901),x43902)),f330(f330(f7(a930,f931(x43901),f931(x43901)),f178(x43901)),x43903)),x43904),f330(f330(f178(x43901),x43904),f330(f330(f154(x43901),x43902),x43903))) % 242.40/242.47 [4428]P1(f330(f330(f239(f937(x44281,a925)),f330(f313(x44282,x44281,x44283),f330(f314(x44282,x44281,x44283),x44284))),x44284)) % 242.40/242.47 [4430]E(f330(f313(f936(x44301,x44302),f936(x44302,x44301),f330(f261(x44301,x44302,f936(x44302,x44301)),f330(f7(x44302,x44301,f936(x44302,x44301)),f256(x44302,x44301)))),f330(f330(f258(x44301,x44302),x44303),f330(f16(f937(x44302,a925),x44301),x44304))),f330(f330(f258(x44302,x44301),x44304),f330(f16(f937(x44301,a925),x44302),x44303))) % 242.40/242.47 [4440]E(f330(f330(f41(x44401,f937(x44402,a925)),x44403),f330(f330(f8(f937(x44401,a925),f937(x44402,a925),x44401),f314(x44402,x44401,x44404)),f330(f330(f7(x44401,f937(x44401,a925),f937(x44401,a925)),f312(x44401)),f191(f937(x44401,a925))))),f330(f314(x44402,x44401,x44404),x44403)) % 242.40/242.47 [4441]E(f330(f330(f41(x44411,f937(x44412,a925)),x44413),f330(f330(f8(f937(x44411,a925),f937(x44412,a925),x44411),f289(x44411,x44412,x44414)),f330(f330(f7(x44411,f937(x44411,a925),f937(x44411,a925)),f312(x44411)),f191(f937(x44411,a925))))),f330(f289(x44411,x44412,x44414),x44413)) % 242.40/242.47 [4528]E(f330(f330(f113(f937(x45281,a925)),f330(f330(f113(f937(x45281,a925)),f330(f330(f104(f937(x45281,a925)),x45282),x45283)),f330(f330(f104(f937(x45281,a925)),x45283),x45284))),f330(f330(f104(f937(x45281,a925)),x45284),x45282)),f330(f330(f104(f937(x45281,a925)),f330(f330(f104(f937(x45281,a925)),f330(f330(f113(f937(x45281,a925)),x45282),x45283)),f330(f330(f113(f937(x45281,a925)),x45283),x45284))),f330(f330(f113(f937(x45281,a925)),x45284),x45282))) % 242.40/242.47 [4591]E(f330(f145(f931(x45911),f931(x45911),f137(x45911),f116(x45911)),f330(f330(f157(x45912,f931(x45911)),f330(f330(f7(x45912,f931(x45911),f931(x45911)),f330(f330(f8(x45911,f937(f931(x45911),f931(x45911)),x45912),f154(x45911)),x45913)),f116(x45911))),x45914)),f330(f330(f157(x45912,x45911),x45913),x45914)) % 242.40/242.47 [4601]E(f330(f330(f88(a1,x46011),f330(f106(a1),f330(f330(f82(a1),x46012),a100))),f330(f330(f18(a1,x46011,x46011),f330(f330(f7(a1,x46011,f937(x46011,x46011)),f330(f330(f8(a925,f937(x46011,f937(x46011,x46011)),a1),f99(x46011)),a196)),x46013)),f330(f330(f8(a930,x46011,a1),x46014),a107))),f188(x46011,x46013,x46014,f330(f106(a930),x46012))) % 242.40/242.47 [4632]E(f330(f266(x46321),f330(f330(f8(f937(x46322,a925),a925,x46321),f89(x46322)),f330(f330(f8(f937(x46322,a925),f937(x46322,a925),x46321),f330(f18(x46322,a925,a925),f330(f330(f8(a925,f937(a925,a925),x46322),a328),f330(f330(f7(x46322,f937(x46322,a925),a925),f332(x46322)),x46323)))),f330(f7(x46322,x46321,a925),x46324)))),f330(f289(x46322,x46321,f330(f266(f936(x46322,x46321)),f330(f261(x46322,x46321,a925),x46324))),x46323)) % 242.40/242.47 [4796]~P1(f330(f330(f191(f937(x47961,f937(x47962,a925))),x47963),x47964)) % 242.40/242.47 [4089]E(f330(f330(f167(x40891),f330(f330(f137(x40891),x40892),x40893)),f330(f330(f82(a930),f330(f192(f931(x40891)),x40892)),x40894)),f330(f330(f167(x40891),x40893),x40894)) % 242.40/242.47 [4094]E(f330(f330(f141(x40941),x40942),f330(f330(f178(x40941),f330(f330(f82(a930),x40943),x40942)),x40944)),f330(f330(f178(x40941),x40943),f330(f330(f141(x40941),x40942),x40944))) % 242.40/242.47 [4193]E(f330(f330(f113(f937(x41931,a925)),f330(f288(x41932,x41931),x41933)),f330(f288(x41932,x41931),x41934)),f330(f288(x41932,x41931),f330(f330(f113(f937(f936(x41932,x41931),a925)),x41933),x41934))) % 242.40/242.47 [4194]E(f330(f330(f113(f937(x41941,a925)),f330(f268(x41941,x41942),x41943)),f330(f268(x41941,x41942),x41944)),f330(f268(x41941,x41942),f330(f330(f113(f937(f936(x41941,x41942),a925)),x41943),x41944))) % 242.40/242.47 [4199]E(f330(f330(f113(f937(x41991,a925)),f330(f330(f113(f937(x41991,a925)),x41992),x41993)),x41994),f330(f330(f113(f937(x41991,a925)),x41992),f330(f330(f113(f937(x41991,a925)),x41993),x41994))) % 242.40/242.47 [4200]E(f330(f330(f23(f937(x42001,a925)),f330(f330(f104(f937(x42001,a925)),x42002),x42003)),x42004),f330(f330(f104(f937(x42001,a925)),x42002),f330(f330(f23(f937(x42001,a925)),x42003),x42004))) % 242.40/242.47 [4201]E(f330(f330(f104(f937(x42011,a925)),f330(f330(f104(f937(x42011,a925)),x42012),x42013)),x42014),f330(f330(f104(f937(x42011,a925)),x42012),f330(f330(f104(f937(x42011,a925)),x42013),x42014))) % 242.40/242.47 [4241]E(f330(f330(f113(f937(f936(x42411,x42412),a925)),f330(f290(x42412,x42411),x42413)),f330(f290(x42412,x42411),x42414)),f330(f290(x42412,x42411),f330(f330(f113(f937(f936(x42412,x42411),a925)),x42413),x42414))) % 242.40/242.47 [4242]E(f330(f330(f104(f937(f936(x42421,x42422),a925)),f330(f290(x42422,x42421),x42423)),f330(f290(x42422,x42421),x42424)),f330(f290(x42422,x42421),f330(f330(f104(f937(f936(x42422,x42421),a925)),x42423),x42424))) % 242.40/242.47 [4255]E(f330(f330(f113(f937(x42551,f937(x42552,a925))),f247(x42552,x42551,x42553)),f247(x42552,x42551,x42554)),f247(x42552,x42551,f330(f330(f113(f937(x42552,f937(x42551,a925))),x42553),x42554))) % 242.40/242.47 [4256]E(f330(f330(f104(f937(x42561,f937(x42562,a925))),f247(x42562,x42561,x42563)),f247(x42562,x42561,x42564)),f247(x42562,x42561,f330(f330(f104(f937(x42562,f937(x42561,a925))),x42563),x42564))) % 242.40/242.47 [4310]E(f330(f330(f104(f937(x43101,a925)),f330(f330(f113(f937(x43101,a925)),x43102),x43103)),f330(f330(f113(f937(x43101,a925)),x43104),x43103)),f330(f330(f113(f937(x43101,a925)),f330(f330(f104(f937(x43101,a925)),x43102),x43104)),x43103)) % 242.40/242.47 [4311]E(f330(f330(f113(f937(x43111,a925)),f330(f330(f23(f937(x43111,a925)),x43112),x43113)),f330(f330(f23(f937(x43111,a925)),x43114),x43113)),f330(f330(f23(f937(x43111,a925)),f330(f330(f113(f937(x43111,a925)),x43112),x43114)),x43113)) % 242.40/242.47 [4312]E(f330(f330(f113(f937(x43121,a925)),f330(f330(f104(f937(x43121,a925)),x43122),x43123)),f330(f330(f104(f937(x43121,a925)),x43124),x43123)),f330(f330(f104(f937(x43121,a925)),f330(f330(f113(f937(x43121,a925)),x43122),x43124)),x43123)) % 242.40/242.47 [4313]E(f330(f330(f23(f937(x43131,a925)),f330(f330(f104(f937(x43131,a925)),x43132),x43133)),f330(f330(f104(f937(x43131,a925)),x43134),x43133)),f330(f330(f104(f937(x43131,a925)),f330(f330(f23(f937(x43131,a925)),x43132),x43134)),x43133)) % 242.40/242.47 [4314]E(f330(f330(f23(f937(x43141,a925)),f330(f330(f104(f937(x43141,a925)),x43142),x43143)),f330(f330(f104(f937(x43141,a925)),x43144),x43143)),f330(f330(f23(f937(x43141,a925)),f330(f330(f104(f937(x43141,a925)),x43142),x43143)),x43144)) % 242.40/242.47 [4326]E(f330(f330(f23(f937(x43261,a925)),f330(f330(f23(f937(x43261,a925)),x43262),f330(f330(f312(x43261),x43263),f191(f937(x43261,a925))))),x43264),f330(f330(f23(f937(x43261,a925)),x43262),f330(f330(f312(x43261),x43263),x43264))) % 242.40/242.47 [4379]E(f330(f330(f113(f937(x43791,a925)),f330(f330(f312(x43791),x43792),f330(f330(f312(x43791),x43793),f191(f937(x43791,a925))))),f330(f285(x43791),x43794)),f330(f285(x43791),f330(f330(f312(f936(x43791,x43791)),f330(f330(f256(x43791,x43791),x43792),x43793)),x43794))) % 242.40/242.47 [4404]E(f330(f330(f41(a930,f937(x44041,a925)),f330(f304(a930),x44042)),f330(f330(f8(a930,f937(x44041,a925),a930),x44043),f330(f330(f7(a930,a930,a930),f82(a930)),x44044))),f330(f330(f41(a930,f937(x44041,a925)),f306(a930,x44044,f330(f330(f82(a930),x44042),x44044))),x44043)) % 242.40/242.47 [4405]E(f177(x44051,f330(f289(x44051,x44051,x44052),f330(f330(f312(x44051),x44053),f191(f937(x44051,a925)))),f330(f289(f931(x44051),f931(x44051),f161(x44051,x44052)),f330(f330(f312(f931(x44051)),x44054),f191(f937(f931(x44051),a925))))),f330(f289(f931(x44051),f931(x44051),f161(x44051,x44052)),f330(f330(f312(f931(x44051)),f330(f330(f154(x44051),x44053),x44054)),f191(f937(f931(x44051),a925))))) % 242.40/242.47 [4470]E(f330(f266(x44701),f330(f330(f7(x44701,f937(x44702,a925),a925),f330(f330(f8(x44702,f937(f937(x44702,a925),a925),x44701),f332(x44702)),x44703)),x44704)),f330(f314(x44701,x44702,x44703),x44704)) % 242.40/242.47 [4560]E(f330(f266(x45601),f330(f330(f7(x45601,f937(f936(x45602,x45601),a925),a925),f330(f330(f8(f936(x45602,x45601),f937(f937(f936(x45602,x45601),a925),a925),x45601),f332(f936(x45602,x45601))),f330(f256(x45602,x45601),x45603))),x45604)),f330(f289(x45602,x45601,x45604),f330(f330(f312(x45602),x45603),f191(f937(x45602,a925))))) % 242.40/242.47 [4574]E(f330(f330(f157(f936(x45741,a930),x45741),f255(x45741,a930)),f330(f139(f936(x45741,a930),f330(f330(f8(a930,a925,f936(x45741,a930)),x45742),f330(f330(f8(a930,a930,f936(x45741,a930)),a115),f260(x45741,a930)))),f330(f330(f184(x45741,a930),x45743),x45744))),f330(f330(f157(f936(x45741,a930),x45741),f255(x45741,a930)),f330(f139(f936(x45741,a930),f330(f330(f8(a930,a925,f936(x45741,a930)),x45742),f260(x45741,a930))),f330(f330(f184(x45741,a930),x45743),f330(f330(f157(a930,a930),a115),x45744))))) % 242.40/242.47 [4583]P1(f330(f330(f239(f937(f937(x45831,a925),a925)),f330(f330(f41(x45832,f937(f937(x45831,a925),a925)),x45833),f330(f330(f8(f937(x45831,a925),f937(f937(x45831,a925),a925),x45832),f311(x45831)),x45834))),f330(f311(x45831),f330(f330(f41(x45832,f937(x45831,a925)),x45833),x45834)))) % 242.40/242.47 [4624]E(f330(f330(f88(a1,x46241),f330(f106(a1),f330(f330(f82(a1),x46242),a100))),f330(f330(f18(a1,x46241,x46241),f330(f330(f7(a1,x46241,f937(x46241,x46241)),f330(f330(f8(a925,f937(x46241,f937(x46241,x46241)),a1),f99(x46241)),a196)),x46243)),f330(f330(f18(a1,x46241,x46241),f330(f330(f8(a930,f937(x46241,x46241),a1),x46244),a107)),f330(f330(f8(a930,x46241,a1),f187(x46241,x46243,x46244)),a107)))),f330(f187(x46241,x46243,x46244),f330(f106(a930),x46242))) % 242.40/242.47 [4648]E(f330(f266(f936(x46481,x46482)),f330(f261(x46481,x46482,a925),f330(f330(f7(x46481,f937(x46482,a925),f937(x46482,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x46482,a925),f937(x46482,a925)),x46481),f8(a925,a925,x46482)),f330(f330(f8(a925,f937(a925,a925),x46481),a328),f330(f330(f7(x46481,f937(x46481,a925),a925),f332(x46481)),x46483)))),f330(f330(f7(x46482,f937(x46482,a925),a925),f332(x46482)),x46484)))),f233(x46481,x46482,x46483,x46484)) % 242.40/242.47 [4684]E(f330(f330(f41(x46841,f937(f936(x46841,x46842),a925)),x46843),f330(f330(f18(x46841,f937(x46842,f937(f936(x46841,x46842),a925)),f937(f936(x46841,x46842),a925)),f330(f330(f8(f937(x46842,a925),f937(f937(x46842,f937(f936(x46841,x46842),a925)),f937(f936(x46841,x46842),a925)),x46841),f41(x46842,f937(f936(x46841,x46842),a925))),x46844)),f330(f330(f7(x46841,f937(f936(x46841,x46842),a925),f937(x46842,f937(f936(x46841,x46842),a925))),f330(f330(f8(f937(x46842,f937(f937(f936(x46841,x46842),a925),f937(f936(x46841,x46842),a925))),f937(f937(f936(x46841,x46842),a925),f937(x46842,f937(f936(x46841,x46842),a925))),x46841),f7(x46842,f937(f936(x46841,x46842),a925),f937(f936(x46841,x46842),a925))),f330(f330(f8(f937(x46842,f936(x46841,x46842)),f937(x46842,f937(f937(f936(x46841,x46842),a925),f937(f936(x46841,x46842),a925))),x46841),f330(f8(f936(x46841,x46842),f937(f937(f936(x46841,x46842),a925),f937(f936(x46841,x46842),a925)),x46842),f312(f936(x46841,x46842)))),f256(x46841,x46842)))),f191(f937(f936(x46841,x46842),a925))))),f330(f330(f258(x46841,x46842),x46843),x46844)) % 242.40/242.47 [4250]E(f330(f330(f137(x42501),f330(f330(f178(x42501),x42502),x42503)),f330(f330(f178(x42501),f330(f330(f23(a930),x42502),f330(f192(f931(x42501)),x42503))),x42504)),f330(f330(f178(x42501),x42502),f330(f330(f137(x42501),x42503),x42504))) % 242.40/242.47 [4251]E(f330(f330(f137(x42511),f330(f330(f141(x42511),x42512),x42513)),f330(f330(f141(x42511),f330(f330(f23(a930),x42512),f330(f192(f931(x42511)),x42513))),x42514)),f330(f330(f141(x42511),x42512),f330(f330(f137(x42511),x42513),x42514))) % 242.40/242.47 [4300]E(f330(f330(f82(a930),f330(f330(f83(a930),x43001),x43002)),f330(f330(f82(a930),f330(f330(f83(a930),x43003),x43002)),x43004)),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f82(a930),x43001),x43003)),x43002)),x43004)) % 242.40/242.47 [4446]E(f92(x44461,f330(f330(f7(x44461,x44462,a925),f330(f330(f8(x44462,f937(x44462,a925),x44461),a327),x44463)),x44464)),f330(f94(x44461,x44462,f246(f937(x44461,a925)),x44463),x44464)) % 242.40/242.47 [4494]P1(f330(f330(f239(f937(x44941,a925)),f330(f330(f23(f937(x44941,a925)),f330(f288(x44942,x44941),x44943)),f330(f288(x44942,x44941),x44944))),f330(f288(x44942,x44941),f330(f330(f23(f937(f936(x44942,x44941),a925)),x44943),x44944)))) % 242.40/242.47 [4495]P1(f330(f330(f239(f937(x44951,a925)),f330(f330(f23(f937(x44951,a925)),f330(f268(x44951,x44952),x44953)),f330(f268(x44951,x44952),x44954))),f330(f268(x44951,x44952),f330(f330(f23(f937(f936(x44951,x44952),a925)),x44953),x44954)))) % 242.40/242.47 [4603]E(f330(f330(f82(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x46031),x46032)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x46033),x46034)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),f330(f330(f82(a930),x46031),x46033)),f330(f330(f82(a930),x46032),x46034))),f191(f937(f936(a930,a930),a925)))))) % 242.40/242.47 [4643]E(f330(f330(f83(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x46431),x46432)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x46433),x46434)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),f330(f330(f82(a930),f330(f330(f83(a930),x46431),x46433)),f330(f330(f83(a930),x46432),x46434))),f330(f330(f82(a930),f330(f330(f83(a930),x46431),x46434)),f330(f330(f83(a930),x46432),x46433)))),f191(f937(f936(a930,a930),a925)))))) % 242.40/242.47 [4664]E(f330(f266(x46641),f330(f330(f8(f937(x46642,a925),a925,x46641),f90(x46642)),f330(f330(f8(f937(x46642,a925),f937(x46642,a925),x46641),f330(f18(x46642,a925,a925),f330(f330(f8(a925,f937(a925,a925),x46642),a333),f330(f330(f7(x46642,f937(x46642,a925),a925),f332(x46642)),x46643)))),f330(f330(f7(x46641,f937(x46642,f937(x46641,a925)),f937(x46642,a925)),f330(f330(f8(f937(f937(x46641,a925),a925),f937(f937(x46642,f937(x46641,a925)),f937(x46642,a925)),x46641),f8(f937(x46641,a925),a925,x46642)),f332(x46641))),x46644)))),f330(f330(f42(x46642,f937(x46641,a925)),x46643),x46644)) % 242.40/242.47 [4696]E(f330(f330(f292(x46961,x46961,x46961),f330(f330(f312(f936(x46961,x46961)),f330(f330(f256(x46961,x46961),x46962),x46963)),x46964)),f310(x46961,f330(f330(f312(f936(x46961,x46961)),f330(f330(f256(x46961,x46961),x46962),x46963)),x46964))),f330(f330(f113(f937(f936(x46961,x46961),a925)),f330(f330(f292(x46961,x46961,x46961),x46964),f310(x46961,x46964))),f330(f266(f936(x46961,x46961)),f330(f261(x46961,x46961,a925),f330(f330(f7(x46961,f937(x46961,a925),f937(x46961,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x46961,a925),f937(x46961,a925)),x46961),f8(a925,a925,x46961)),f330(f330(f8(a925,f937(a925,a925),x46961),a328),f330(f330(f7(x46961,f937(f936(x46961,x46961),a925),a925),f330(f330(f8(f936(x46961,x46961),f937(f937(f936(x46961,x46961),a925),a925),x46961),f332(f936(x46961,x46961))),f330(f330(f7(x46961,x46961,f936(x46961,x46961)),f256(x46961,x46961)),x46962))),f310(x46961,x46964))))),f330(f330(f7(x46961,f937(f936(x46961,x46961),a925),a925),f330(f330(f8(f936(x46961,x46961),f937(f937(f936(x46961,x46961),a925),a925),x46961),f332(f936(x46961,x46961))),f330(f256(x46961,x46961),x46963))),f310(x46961,x46964))))))) % 242.40/242.47 [4496]E(f330(f139(x44961,f330(f330(f18(x44961,a925,a925),f330(f330(f8(a925,f937(a925,a925),x44961),a328),x44962)),x44963)),x44964),f330(f139(x44961,x44963),f330(f139(x44961,x44962),x44964))) % 242.40/242.47 [4597]E(f330(f330(f137(x45971),f330(f330(f330(f99(f931(x45971)),f330(f330(f332(a930),f2(a930)),x45972)),f330(f330(f154(x45971),x45973),f116(x45971))),f116(x45971))),f179(x45971,x45974,f330(f266(a930),f330(f330(f7(a930,f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),a930),f332(a930)),a115)),x45972)))),f179(x45971,f330(f330(f154(x45971),x45973),x45974),x45972)) % 242.40/242.47 [4692]E(f330(f266(f936(x46921,x46922)),f330(f330(f8(f937(a930,a925),a925,f936(x46921,x46922)),f89(a930)),f330(f330(f7(f936(x46921,x46922),f937(a930,a925),f937(a930,a925)),f330(f330(f8(f937(a930,f937(a925,a925)),f937(f937(a930,a925),f937(a930,a925)),f936(x46921,x46922)),f18(a930,a925,a925)),f330(f330(f8(f937(a930,a925),f937(a930,f937(a925,a925)),f936(x46921,x46922)),f330(f8(a925,f937(a925,a925),a930),a328)),f330(f330(f7(f936(x46921,x46922),f937(a930,f936(x46921,x46922)),f937(a930,a925)),f330(f330(f8(f937(f936(x46921,x46922),a925),f937(f937(a930,f936(x46921,x46922)),f937(a930,a925)),f936(x46921,x46922)),f8(f936(x46921,x46922),a925,a930)),a327)),f330(f330(f18(a930,x46922,f936(x46921,x46922)),f330(f330(f8(x46921,f937(x46922,f936(x46921,x46922)),a930),f256(x46921,x46922)),f330(f167(x46921),x46923))),f330(f167(x46922),x46924)))))),f330(f330(f7(a930,a930,a925),f240(a930)),f330(f330(f237(a930),f330(f192(f931(x46921)),x46923)),f330(f192(f931(x46922)),x46924)))))),f330(f175(f936(x46921,x46922)),f330(f330(f184(x46921,x46922),x46923),x46924))) % 242.40/242.47 [4616]E(f330(f266(f936(x46161,x46162)),f330(f261(x46161,x46162,a925),f330(f330(f7(x46161,f937(x46162,a925),f937(x46162,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x46162,a925),f937(x46162,a925)),x46161),f8(a925,a925,x46162)),f330(f330(f8(a925,f937(a925,a925),x46161),a328),x46163))),x46164))),f330(f330(f258(x46161,x46162),f330(f266(x46161),x46163)),f330(f16(f937(x46162,a925),x46161),f330(f266(x46162),x46164)))) % 242.40/242.47 [4619]E(f330(f266(f936(x46191,x46192)),f330(f261(x46191,x46192,a925),f330(f330(f18(x46191,f937(x46192,a925),f937(x46192,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x46192,a925),f937(x46192,a925)),x46191),f8(a925,a925,x46192)),f330(f330(f8(a925,f937(a925,a925),x46191),a328),x46193))),x46194))),f330(f330(f258(x46191,x46192),f330(f266(x46191),x46193)),f330(f330(f8(f937(x46192,a925),f937(x46192,a925),x46191),f266(x46192)),x46194))) % 242.40/242.47 [4631]E(f330(f266(x46311),f330(f330(f8(f937(x46312,a925),a925,x46311),f90(x46312)),f330(f330(f8(f937(x46312,a925),f937(x46312,a925),x46311),f330(f18(x46312,a925,a925),f330(f330(f8(a925,f937(a925,a925),x46312),a333),f330(f330(f7(x46312,f937(x46312,a925),a925),f332(x46312)),x46313)))),x46314))),f330(f330(f42(x46312,f937(x46311,a925)),x46313),f330(f330(f8(f937(x46311,a925),f937(x46311,a925),x46312),f266(x46311)),f330(f7(x46311,x46312,a925),x46314)))) % 242.40/242.47 [4676]E(f330(f330(f157(f936(x46761,a930),x46761),f255(x46761,a930)),f330(f139(f936(x46761,a930),f330(f330(f7(f936(x46761,a930),f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),f936(x46761,a930)),f332(a930)),f260(x46761,a930))),x46762)),f330(f330(f184(x46761,a930),x46763),f142(a930,f330(f305(a930,x46764),f330(f330(f82(a930),x46764),f330(f192(f931(x46761)),x46763))))))),f330(f330(f157(f936(x46761,a930),x46761),f255(x46761,a930)),f330(f139(f936(x46761,a930),f330(f330(f7(f936(x46761,a930),f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),f936(x46761,a930)),f332(a930)),f330(f330(f7(f936(x46761,a930),a930,a930),f330(f330(f8(a930,f937(a930,a930),f936(x46761,a930)),f82(a930)),f260(x46761,a930))),x46764))),x46762)),f330(f330(f184(x46761,a930),x46763),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(x46761)),x46763))))))) % 242.40/242.47 [4677]E(f330(a115,f330(f330(f238(a930),f330(f192(f931(x46771)),x46772)),f330(f145(a930,f931(x46773),f330(f7(f931(x46773),a930,a930),f330(f330(f8(a930,f937(a930,a930),f931(x46773)),f238(a930)),f330(f330(f7(f931(x46773),a930,a930),f330(f330(f8(a930,f937(a930,a930),f931(x46773)),f23(a930)),f192(f931(x46773)))),f330(a115,f2(a930))))),f2(a930)),f330(f171(f931(x46773)),f330(f139(f931(x46773),f330(f330(f8(a925,a925,f931(x46773)),a325),f330(f330(f7(f931(x46773),f931(x46773),a925),a327),f116(x46773)))),x46774))))),f330(f330(f238(a930),f330(a115,f330(f192(f931(x46771)),x46772))),f330(f145(a930,f931(x46773),f330(f7(f931(x46773),a930,a930),f330(f330(f8(a930,f937(a930,a930),f931(x46773)),f238(a930)),f192(f931(x46773)))),f2(a930)),f330(f171(f931(x46773)),x46774)))) % 242.40/242.47 [4630]E(f330(f330(f137(x46301),f179(x46301,x46302,x46303)),f179(x46301,x46304,f330(f266(a930),f330(f330(f7(a930,f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),a930),f332(a930)),f330(f330(f7(a930,a930,a930),f82(a930)),f330(f192(f931(x46301)),x46302)))),x46303)))),f179(x46301,f330(f330(f137(x46301),x46302),x46304),x46303)) % 242.40/242.47 [4678]E(f39(f937(x46781,a925),f330(f266(f937(x46781,a925)),f330(f330(f8(f937(x46782,a925),a925,f937(x46781,a925)),f89(x46782)),f330(f330(f8(f937(x46782,a925),f937(x46782,a925),f937(x46781,a925)),f330(f18(x46782,a925,a925),f330(f330(f8(a925,f937(a925,a925),x46782),a328),f330(f330(f7(x46782,f937(x46782,a925),a925),f332(x46782)),x46783)))),f330(f330(f7(f937(x46781,a925),f937(x46782,f937(x46781,a925)),f937(x46782,a925)),f330(f330(f8(f937(f937(x46781,a925),a925),f937(f937(x46782,f937(x46781,a925)),f937(x46782,a925)),f937(x46781,a925)),f8(f937(x46781,a925),a925,x46782)),a327)),x46784))))),f330(f330(f41(x46782,f937(x46781,a925)),x46783),x46784)) % 242.40/242.47 [4679]E(f40(f937(x46791,a925),f330(f266(f937(x46791,a925)),f330(f330(f8(f937(x46792,a925),a925,f937(x46791,a925)),f89(x46792)),f330(f330(f8(f937(x46792,a925),f937(x46792,a925),f937(x46791,a925)),f330(f18(x46792,a925,a925),f330(f330(f8(a925,f937(a925,a925),x46792),a328),f330(f330(f7(x46792,f937(x46792,a925),a925),f332(x46792)),x46793)))),f330(f330(f7(f937(x46791,a925),f937(x46792,f937(x46791,a925)),f937(x46792,a925)),f330(f330(f8(f937(f937(x46791,a925),a925),f937(f937(x46792,f937(x46791,a925)),f937(x46792,a925)),f937(x46791,a925)),f8(f937(x46791,a925),a925,x46792)),a327)),x46794))))),f330(f330(f42(x46792,f937(x46791,a925)),x46793),x46794)) % 242.40/242.47 [4686]E(f330(f330(f154(f931(x46861)),f330(f330(f154(x46861),x46862),f330(f145(f931(x46861),f931(x46861),f137(x46861),f116(x46861)),f330(f330(f157(f931(x46861),f931(x46861)),f159(f931(x46861),x46861,f116(x46861),f330(f330(f8(f931(x46861),f937(f931(x46861),f931(x46861)),x46861),f16(f931(x46861),f931(x46861))),f330(f330(f7(x46861,f931(x46861),f931(x46861)),f154(x46861)),f116(x46861))))),x46863)))),f182(x46861,f330(f330(f154(f931(x46861)),x46864),f330(f145(f931(f931(x46861)),f931(f931(x46861)),f137(f931(x46861)),f116(f931(x46861))),f330(f330(f157(f931(x46861),f931(f931(x46861))),f159(f931(f931(x46861)),x46861,f116(f931(x46861)),f330(f16(f937(f931(x46861),f931(f931(x46861))),x46861),f330(f330(f7(f931(x46861),f931(f931(x46861)),f931(f931(x46861))),f154(f931(x46861))),f116(f931(x46861)))))),x46863))))),f182(x46861,f330(f330(f154(f931(x46861)),f330(f330(f154(x46861),x46862),x46864)),x46863))) % 242.40/242.47 [4693]E(f330(f266(f936(x46931,x46931)),f330(f261(x46931,x46931,a925),f330(f330(f7(x46931,f937(f936(x46932,x46932),a925),f937(x46931,a925)),f330(f330(f8(f937(x46931,f937(f937(f936(x46932,x46932),a925),a925)),f937(f937(f936(x46932,x46932),a925),f937(x46931,a925)),x46931),f7(x46931,f937(f936(x46932,x46932),a925),a925)),f330(f330(f8(f937(x46931,f936(x46932,x46932)),f937(x46931,f937(f937(f936(x46932,x46932),a925),a925)),x46931),f330(f8(f936(x46932,x46932),f937(f937(f936(x46932,x46932),a925),a925),x46931),f332(f936(x46932,x46932)))),f330(f330(f7(x46931,f937(x46931,x46932),f937(x46931,f936(x46932,x46932))),f330(f330(f8(f937(x46932,f936(x46932,x46932)),f937(f937(x46931,x46932),f937(x46931,f936(x46932,x46932))),x46931),f8(x46932,f936(x46932,x46932),x46931)),f330(f330(f8(x46932,f937(x46932,f936(x46932,x46932)),x46931),f256(x46932,x46932)),x46933))),x46933)))),x46934))),f330(f330(f291(x46932,x46931),x46934),x46933)) % 242.40/242.47 [4749]~E(f32(x47491,x47492),f29(x47493,x47494,x47495)) % 242.40/242.47 [4750]~E(f32(x47501,x47502),f28(x47503,x47504,x47505)) % 242.40/242.47 [4751]~E(f31(x47511,x47512),f29(x47513,x47514,x47515)) % 242.40/242.47 [4752]~E(f31(x47521,x47522),f28(x47523,x47524,x47525)) % 242.40/242.47 [4753]~E(f29(x47531,x47532,x47533),f32(x47534,x47535)) % 242.40/242.47 [4754]~E(f29(x47541,x47542,x47543),f31(x47544,x47545)) % 242.40/242.47 [4755]~E(f28(x47551,x47552,x47553),f32(x47554,x47555)) % 242.40/242.47 [4756]~E(f28(x47561,x47562,x47563),f31(x47564,x47565)) % 242.40/242.47 [3824]E(f330(f330(f157(x38241,x38242),x38243),f172(x38241,x38244,x38245)),f172(x38242,x38244,f330(x38243,x38245))) % 242.40/242.47 [4161]E(f133(x41611,x41612,x41613,f129(x41611,x41614,x41615)),f129(x41612,f330(x41613,x41614),f133(x41611,x41612,x41613,x41615))) % 242.40/242.47 [4394]E(f330(f76(x43941,x43942,x43943,x43944,x43945),x43944),x43945) % 242.40/242.47 [4447]E(f257(x44471,x44472,x44473,f247(x44472,x44471,x44474),f247(x44473,x44472,x44475)),f247(x44473,x44471,f257(x44473,x44472,x44471,x44475,x44474))) % 242.40/242.47 [4018]E(f330(f330(f261(x40181,x40182,x40183),x40184),x40185),f330(f330(x40184,f330(f255(x40181,x40182),x40185)),f330(f260(x40181,x40182),x40185))) % 242.40/242.47 [4054]E(f330(f330(f330(f67(x40541,x40542,x40543),x40544),x40545),f191(f937(x40542,a925))),x40545) % 242.40/242.47 [4334]E(f330(f74(f931(x43341),f931(x43342),f931(x43343),f330(f157(x43341,x43342),x43344)),f330(f157(x43343,x43341),x43345)),f330(f157(x43343,x43342),f330(f74(x43341,x43342,x43343,x43344),x43345))) % 242.40/242.47 [4408]E(f87(x44081,f68(x44082,x44081,x44083,x44084,x44085)),f330(f330(f66(x44082,x44081,x44083),x44084),x44085)) % 242.40/242.47 [4443]E(f330(f330(f82(a930),f330(f330(f82(a930),f330(x44431,f330(f255(x44432,x44433),x44434))),f330(x44435,f330(f260(x44432,x44433),x44434)))),f330(a115,f2(a930))),f265(x44432,x44433,x44431,x44435,x44434)) % 242.40/242.47 [3954]E(f330(f330(f178(x39541),x39542),f330(f330(f157(x39543,x39541),x39544),x39545)),f330(f330(f157(x39543,x39541),x39544),f330(f330(f178(x39543),x39542),x39545))) % 242.40/242.47 [3955]E(f330(f330(f141(x39551),x39552),f330(f330(f157(x39553,x39551),x39554),x39555)),f330(f330(f157(x39553,x39551),x39554),f330(f330(f141(x39553),x39552),x39555))) % 242.40/242.47 [3987]E(f330(f330(f157(x39871,x39872),x39873),f330(f330(f154(x39871),x39874),x39875)),f330(f330(f154(x39872),f330(x39873,x39874)),f330(f330(f157(x39871,x39872),x39873),x39875))) % 242.40/242.47 [4048]E(f330(f313(x40481,x40482,x40483),f330(f330(f312(x40481),x40484),x40485)),f330(f330(f312(x40482),f330(x40483,x40484)),f330(f313(x40481,x40482,x40483),x40485))) % 242.40/242.47 [4078]E(f176(x40781,f330(f330(f154(x40781),x40782),x40783),f330(f330(f154(x40781),x40784),x40785)),f330(f330(f154(x40781),x40782),f330(f330(f154(x40781),x40784),f176(x40781,x40783,x40785)))) % 242.40/242.47 [4115]E(f330(f330(f184(x41151,x41152),f330(f330(f178(x41151),x41153),x41154)),f330(f330(f178(x41152),x41153),x41155)),f330(f330(f178(f936(x41151,x41152)),x41153),f330(f330(f184(x41151,x41152),x41154),x41155))) % 242.40/242.47 [4116]E(f330(f330(f184(x41161,x41162),f330(f330(f141(x41161),x41163),x41164)),f330(f330(f141(x41162),x41163),x41165)),f330(f330(f141(f936(x41161,x41162)),x41163),f330(f330(f184(x41161,x41162),x41164),x41165))) % 242.40/242.47 [4126]E(f330(f330(f162(x41261,f330(f330(f154(x41261),x41262),x41263)),f330(a115,x41264)),x41265),f330(f330(f154(x41261),x41262),f330(f330(f162(x41261,x41263),x41264),x41265))) % 242.40/242.47 [4129]E(f330(f330(f137(x41291),f330(f330(f157(x41292,x41291),x41293),x41294)),f330(f330(f157(x41292,x41291),x41293),x41295)),f330(f330(f157(x41292,x41291),x41293),f330(f330(f137(x41292),x41294),x41295))) % 242.40/242.47 [4133]E(f330(f330(x41331,x41332),f330(f330(f249(x41333,x41334,x41331),x41332),x41335)),f330(f330(f249(x41333,x41334,x41331),x41332),f330(a115,x41335))) % 242.40/242.47 [4165]E(f166(x41651,x41652,x41653,f330(f330(f154(x41651),x41654),x41655)),f330(f330(f137(x41652),f330(x41653,x41654)),f166(x41651,x41652,x41653,x41655))) % 242.40/242.47 [4177]E(f330(f330(f292(x41771,x41772,x41773),f330(f290(x41772,x41771),x41774)),f330(f290(x41773,x41772),x41775)),f330(f290(x41773,x41771),f330(f330(f292(x41773,x41772,x41771),x41775),x41774))) % 242.40/242.47 [4209]E(f330(f330(f330(f186(f931(x42091),f931(x42091)),x42092),f170(x42091)),f330(f330(f157(x42093,x42091),x42094),x42095)),f330(f330(f157(x42093,x42091),x42094),f330(f330(f330(f186(f931(x42093),f931(x42093)),x42092),f170(x42093)),x42095))) % 242.40/242.47 [4210]E(f330(f330(f263(x42101,x42102,x42101,x42103),f330(f256(x42102,x42101),x42104)),x42105),f330(x42105,x42104)) % 242.40/242.47 [4236]E(f158(x42361,x42362,f330(f330(f157(x42363,x42361),x42364),x42365)),f158(x42363,f330(f74(x42361,a930,x42363,x42362),x42364),x42365)) % 242.40/242.47 [4299]E(f180(f936(x42991,x42992),f330(f74(x42992,a925,f936(x42991,x42992),x42993),f260(x42991,x42992)),f330(f330(f184(x42991,x42992),x42994),x42995)),f330(f330(f184(x42991,x42992),x42994),f180(x42992,x42993,x42995))) % 242.40/242.47 [4304]E(f330(f313(x43041,x43042,f330(f330(f8(x43043,x43042,x43041),x43044),x43045)),f246(f937(x43041,a925))),f330(f313(x43043,x43042,x43044),f330(f313(x43041,x43043,x43045),f246(f937(x43041,a925))))) % 242.40/242.47 [4317]E(f180(f936(x43171,x43172),f330(f74(x43171,a925,f936(x43171,x43172),x43173),f255(x43171,x43172)),f330(f330(f184(x43171,x43172),x43174),x43175)),f330(f330(f184(x43171,x43172),f180(x43171,x43173,x43174)),x43175)) % 242.40/242.47 [4338]E(f330(f330(f113(f937(x43381,a925)),f330(f314(x43381,x43382,x43383),f330(f330(f312(x43382),x43384),f191(f937(x43382,a925))))),f330(f314(x43381,x43382,x43383),x43385)),f330(f314(x43381,x43382,x43383),f330(f330(f312(x43382),x43384),x43385))) % 242.40/242.47 [4393]E(f330(f330(f137(f936(x43931,x43932)),f330(f330(f157(x43932,f936(x43931,x43932)),f330(f256(x43931,x43932),x43933)),x43934)),f61(x43931,x43932,x43935,x43934)),f61(x43931,x43932,f330(f330(f154(x43931),x43933),x43935),x43934)) % 242.40/242.47 [4395]E(f330(f330(f157(x43951,x43952),x43953),f180(x43951,f330(f74(x43952,a925,x43951,x43954),x43953),x43955)),f180(x43952,x43954,f330(f330(f157(x43951,x43952),x43953),x43955))) % 242.40/242.47 [4400]E(f330(f145(x44001,x44002,f330(f7(x44002,x44001,x44001),f330(f7(x44001,x44002,x44001),x44003)),x44004),f330(f171(x44002),f330(f171(x44002),x44005))),f330(f145(x44001,x44002,x44003,x44004),x44005)) % 242.40/242.47 [4504]P1(f330(f330(f239(f937(x45041,a925)),f330(f313(x45042,x45041,x45043),f330(f330(f104(f937(x45042,a925)),x45044),x45045))),f330(f330(f104(f937(x45041,a925)),f330(f313(x45042,x45041,x45043),x45044)),f330(f313(x45042,x45041,x45043),x45045)))) % 242.40/242.47 [4505]P1(f330(f330(f239(f937(x45051,a925)),f330(f289(x45052,x45051,x45053),f330(f330(f104(f937(x45052,a925)),x45054),x45055))),f330(f330(f104(f937(x45051,a925)),f330(f289(x45052,x45051,x45053),x45054)),f330(f289(x45052,x45051,x45053),x45055)))) % 242.40/242.47 [4604]E(f330(f260(x46041,x46042),f330(f262(x46043,x46041,x46042,x46042,x46044,f33(x46042)),x46045)),f330(f260(x46043,x46042),x46045)) % 242.40/242.47 [4605]E(f330(f255(x46051,x46052),f330(f262(x46051,x46051,x46053,x46052,f33(x46051),x46054),x46055)),f330(f255(x46051,x46053),x46055)) % 242.40/242.47 [3794]E(f330(f330(f330(f330(f208(x37941),x37942),x37943),x37944),x37945),f195(x37941,x37942)) % 242.40/242.47 [3795]E(f330(f330(f330(f330(f212(x37951),x37952),x37953),x37954),x37955),f203(x37951,x37952)) % 242.40/242.47 [3840]E(f96(x38401,x38402,f330(f330(f330(f93(x38401),x38403),x38404),x38405)),f2(a930)) % 242.40/242.47 [4166]E(f330(f330(f41(x41661,f937(x41662,a925)),f330(f330(f312(x41661),x41663),x41664)),x41665),f330(f330(f113(f937(x41662,a925)),f330(x41665,x41663)),f330(f330(f41(x41661,f937(x41662,a925)),x41664),x41665))) % 242.40/242.47 [4167]E(f330(f330(f42(x41671,f937(x41672,a925)),f330(f330(f312(x41671),x41673),x41674)),x41675),f330(f330(f104(f937(x41672,a925)),f330(x41675,x41673)),f330(f330(f42(x41671,f937(x41672,a925)),x41674),x41675))) % 242.40/242.47 [4217]E(f330(f121(x42171,x42172,f330(x42173,x42174)),f330(f330(f7(x42171,a102,f932(x42172)),x42175),x42174)),f330(f201(x42171,x42172,x42173,x42175),x42174)) % 242.40/242.47 [4230]E(f330(f330(f113(f937(x42301,a925)),f330(f313(x42302,x42301,x42303),x42304)),f330(f313(x42302,x42301,x42303),x42305)),f330(f313(x42302,x42301,x42303),f330(f330(f113(f937(x42302,a925)),x42304),x42305))) % 242.40/242.47 [4231]E(f330(f330(f113(f937(x42311,a925)),f330(f314(x42311,x42312,x42313),x42314)),f330(f314(x42311,x42312,x42313),x42315)),f330(f314(x42311,x42312,x42313),f330(f330(f113(f937(x42312,a925)),x42314),x42315))) % 242.40/242.47 [4232]E(f330(f330(f23(f937(x42321,a925)),f330(f314(x42321,x42322,x42323),x42324)),f330(f314(x42321,x42322,x42323),x42325)),f330(f314(x42321,x42322,x42323),f330(f330(f23(f937(x42322,a925)),x42324),x42325))) % 242.40/242.47 [4233]E(f330(f330(f104(f937(x42331,a925)),f330(f314(x42331,x42332,x42333),x42334)),f330(f314(x42331,x42332,x42333),x42335)),f330(f314(x42331,x42332,x42333),f330(f330(f104(f937(x42332,a925)),x42334),x42335))) % 242.40/242.47 [4234]E(f330(f330(f113(f937(x42341,a925)),f330(f289(x42342,x42341,x42343),x42344)),f330(f289(x42342,x42341,x42343),x42345)),f330(f289(x42342,x42341,x42343),f330(f330(f113(f937(x42342,a925)),x42344),x42345))) % 242.40/242.47 [4295]E(f330(f330(f162(x42951,f330(f330(f137(x42951),x42952),f330(f330(f154(x42951),x42953),x42954))),f330(f192(f931(x42951)),x42952)),x42955),f330(f330(f137(x42951),x42952),f330(f330(f154(x42951),x42955),x42954))) % 242.40/242.47 [4302]E(f330(f330(f42(x43021,f937(x43022,a925)),x43023),f330(f330(f8(f937(x43022,a925),f937(x43022,a925),x43021),f330(f312(x43022),x43024)),x43025)),f330(f330(f312(x43022),x43024),f330(f330(f42(x43021,f937(x43022,a925)),x43023),x43025))) % 242.40/242.47 [4456]E(f330(f330(f157(x44561,x44562),x44563),f330(f139(x44561,f330(f74(x44562,a925,x44561,x44564),x44563)),x44565)),f330(f139(x44562,x44564),f330(f330(f157(x44561,x44562),x44563),x44565))) % 242.40/242.47 [4462]E(f330(f192(f931(x44621)),f330(f139(x44621,x44622),f330(f330(f157(x44623,x44621),x44624),x44625))),f330(f192(f931(x44623)),f330(f139(x44623,f330(f74(x44621,a925,x44623,x44622),x44624)),x44625))) % 242.40/242.47 [4669]E(f330(f159(f931(f936(x46691,x46692)),x46692,f116(f936(x46691,x46692)),f330(f330(f7(x46692,f937(f931(x46692),f931(f936(x46691,x46692))),f937(f931(x46692),f931(f936(x46691,x46692)))),f330(f330(f8(f937(f931(f936(x46691,x46692)),f931(f936(x46691,x46692))),f937(f937(f931(x46692),f931(f936(x46691,x46692))),f937(f931(x46692),f931(f936(x46691,x46692)))),x46692),f8(f931(f936(x46691,x46692)),f931(f936(x46691,x46692)),f931(x46692))),f330(f330(f8(f936(x46691,x46692),f937(f931(f936(x46691,x46692)),f931(f936(x46691,x46692))),x46692),f154(f936(x46691,x46692))),f330(f256(x46691,x46692),x46693)))),f330(f184(x46691,x46692),x46694))),x46695),f330(f330(f184(x46691,x46692),f330(f330(f154(x46691),x46693),x46694)),x46695)) % 242.40/242.47 [4158]E(f330(f330(f162(x41581,f330(f330(f162(x41581,x41582),x41583),x41584)),x41583),x41585),f330(f330(f162(x41581,x41582),x41583),x41585)) % 242.40/242.47 [4211]E(f330(f288(x42111,x42112),f330(f330(f312(f936(x42111,x42112)),f330(f330(f256(x42111,x42112),x42113),x42114)),x42115)),f330(f330(f312(x42112),x42114),f330(f288(x42111,x42112),x42115))) % 242.40/242.47 [4212]E(f330(f268(x42121,x42122),f330(f330(f312(f936(x42121,x42122)),f330(f330(f256(x42121,x42122),x42123),x42124)),x42125)),f330(f330(f312(x42121),x42123),f330(f268(x42121,x42122),x42125))) % 242.40/242.47 [4260]E(f125(x42601,x42602,f330(x42603,x42604),f330(f330(f7(x42601,a102,f932(f934(x42602))),x42605),x42604)),f330(f199(x42601,x42602,x42603,x42605),x42604)) % 242.40/242.47 [4288]E(f330(f330(f113(f937(f936(x42881,x42882),a925)),f330(f330(f258(x42881,x42882),x42883),x42884)),f330(f330(f258(x42881,x42882),x42885),x42884)),f330(f330(f258(x42881,x42882),f330(f330(f113(f937(x42881,a925)),x42883),x42885)),x42884)) % 242.40/242.47 [4289]E(f330(f330(f23(f937(f936(x42891,x42892),a925)),f330(f330(f258(x42891,x42892),x42893),x42894)),f330(f330(f258(x42891,x42892),x42895),x42894)),f330(f330(f258(x42891,x42892),f330(f330(f23(f937(x42891,a925)),x42893),x42895)),x42894)) % 242.40/242.47 [4290]E(f330(f330(f104(f937(f936(x42901,x42902),a925)),f330(f330(f258(x42901,x42902),x42903),x42904)),f330(f330(f258(x42901,x42902),x42905),x42904)),f330(f330(f258(x42901,x42902),f330(f330(f104(f937(x42901,a925)),x42903),x42905)),x42904)) % 242.40/242.47 [4349]E(f330(f330(f113(f937(x43491,a925)),f330(f330(f41(x43492,f937(x43491,a925)),x43493),x43494)),f330(f330(f41(x43492,f937(x43491,a925)),x43495),x43494)),f330(f330(f41(x43492,f937(x43491,a925)),f330(f330(f113(f937(x43492,a925)),x43493),x43495)),x43494)) % 242.40/242.47 [4350]E(f330(f330(f104(f937(x43501,a925)),f330(f330(f42(x43502,f937(x43501,a925)),x43503),x43504)),f330(f330(f42(x43502,f937(x43501,a925)),x43505),x43504)),f330(f330(f42(x43502,f937(x43501,a925)),f330(f330(f113(f937(x43502,a925)),x43503),x43505)),x43504)) % 242.40/242.47 [4364]E(f330(f330(f41(x43641,f937(x43642,a925)),x43643),f330(f330(f8(f937(x43642,a925),f937(x43642,a925),x43641),f330(f23(f937(x43642,a925)),x43644)),x43645)),f330(f330(f23(f937(x43642,a925)),x43644),f330(f330(f42(x43641,f937(x43642,a925)),x43643),x43645))) % 242.40/242.47 [4365]E(f330(f330(f41(x43651,f937(x43652,a925)),x43653),f330(f330(f8(f937(x43652,a925),f937(x43652,a925),x43651),f330(f104(f937(x43652,a925)),x43654)),x43655)),f330(f330(f104(f937(x43652,a925)),x43654),f330(f330(f41(x43651,f937(x43652,a925)),x43653),x43655))) % 242.40/242.47 [4366]E(f330(f330(f42(x43661,f937(x43662,a925)),x43663),f330(f330(f8(f937(x43662,a925),f937(x43662,a925),x43661),f330(f113(f937(x43662,a925)),x43664)),x43665)),f330(f330(f113(f937(x43662,a925)),x43664),f330(f330(f42(x43661,f937(x43662,a925)),x43663),x43665))) % 242.40/242.47 [4420]E(f188(f931(x44201),f330(f330(f154(x44201),x44202),x44203),f330(f330(f8(f931(x44201),f931(x44201),a930),f330(f154(x44201),x44204)),f330(f330(f7(a930,x44201,f931(x44201)),f162(x44201,x44203)),x44202)),x44205),f330(f330(f162(x44201,f330(f330(f154(x44201),x44204),x44203)),x44205),x44202)) % 242.40/242.47 [4424]E(f330(f330(f41(x44241,f937(f936(x44242,x44243),a925)),x44244),f330(f330(f8(f937(f936(x44243,x44242),a925),f937(f936(x44242,x44243),a925),x44241),f290(x44243,x44242)),x44245)),f330(f290(x44243,x44242),f330(f330(f41(x44241,f937(f936(x44243,x44242),a925)),x44244),x44245))) % 242.40/242.47 [4425]E(f330(f330(f42(x44251,f937(f936(x44252,x44253),a925)),x44254),f330(f330(f8(f937(f936(x44253,x44252),a925),f937(f936(x44252,x44253),a925),x44251),f290(x44253,x44252)),x44255)),f330(f290(x44253,x44252),f330(f330(f42(x44251,f937(f936(x44253,x44252),a925)),x44254),x44255))) % 242.40/242.47 [4527]P1(f330(f330(f239(f937(x45271,a925)),f330(f330(f23(f937(x45271,a925)),f330(f313(x45272,x45271,x45273),x45274)),f330(f313(x45272,x45271,x45273),x45275))),f330(f313(x45272,x45271,x45273),f330(f330(f23(f937(x45272,a925)),x45274),x45275)))) % 242.40/242.47 [4672]E(f330(f159(f931(f936(x46721,x46722)),x46721,f116(f936(x46721,x46722)),f330(f330(f7(x46721,f937(f931(x46721),f931(f936(x46721,x46722))),f937(f931(x46721),f931(f936(x46721,x46722)))),f330(f330(f8(f937(f931(f936(x46721,x46722)),f931(f936(x46721,x46722))),f937(f937(f931(x46721),f931(f936(x46721,x46722))),f937(f931(x46721),f931(f936(x46721,x46722)))),x46721),f8(f931(f936(x46721,x46722)),f931(f936(x46721,x46722)),f931(x46721))),f330(f330(f8(f936(x46721,x46722),f937(f931(f936(x46721,x46722)),f931(f936(x46721,x46722))),x46721),f154(f936(x46721,x46722))),f330(f330(f7(x46721,x46722,f936(x46721,x46722)),f256(x46721,x46722)),x46723)))),f330(f330(f7(f931(x46721),f931(x46722),f931(f936(x46721,x46722))),f184(x46721,x46722)),x46724))),x46725),f330(f330(f184(x46721,x46722),x46725),f330(f330(f154(x46722),x46723),x46724))) % 242.40/242.47 [4389]E(f330(f330(f113(f937(x43891,a925)),f330(f289(x43892,x43891,x43893),x43894)),f330(f289(x43892,x43891,x43895),x43894)),f330(f289(x43892,x43891,f330(f330(f113(f937(f936(x43892,x43891),a925)),x43893),x43895)),x43894)) % 242.40/242.47 [4426]E(f330(f330(f137(f936(x44261,x44262)),f330(f330(f184(x44261,x44262),x44263),f330(f330(f178(x44262),f330(f192(f931(x44261)),x44263)),x44264))),f330(f330(f184(x44261,x44262),x44265),f330(f330(f141(x44262),f330(f192(f931(x44261)),x44263)),x44264))),f330(f330(f184(x44261,x44262),f330(f330(f137(x44261),x44263),x44265)),x44264)) % 242.40/242.47 [4530]E(f330(f330(f258(x45301,x45302),x45303),f330(f330(f18(x45301,f937(x45302,a925),f937(x45302,a925)),f330(f330(f8(f937(x45302,a925),f937(f937(x45302,a925),f937(x45302,a925)),x45301),f113(f937(x45302,a925))),x45304)),x45305)),f330(f330(f113(f937(f936(x45301,x45302),a925)),f330(f330(f258(x45301,x45302),x45303),x45304)),f330(f330(f258(x45301,x45302),x45303),x45305))) % 242.40/242.47 [4531]E(f330(f330(f258(x45311,x45312),x45313),f330(f330(f18(x45311,f937(x45312,a925),f937(x45312,a925)),f330(f330(f8(f937(x45312,a925),f937(f937(x45312,a925),f937(x45312,a925)),x45311),f23(f937(x45312,a925))),x45314)),x45315)),f330(f330(f23(f937(f936(x45311,x45312),a925)),f330(f330(f258(x45311,x45312),x45313),x45314)),f330(f330(f258(x45311,x45312),x45313),x45315))) % 242.40/242.47 [4532]E(f330(f330(f258(x45321,x45322),x45323),f330(f330(f18(x45321,f937(x45322,a925),f937(x45322,a925)),f330(f330(f8(f937(x45322,a925),f937(f937(x45322,a925),f937(x45322,a925)),x45321),f104(f937(x45322,a925))),x45324)),x45325)),f330(f330(f104(f937(f936(x45321,x45322),a925)),f330(f330(f258(x45321,x45322),x45323),x45324)),f330(f330(f258(x45321,x45322),x45323),x45325))) % 242.40/242.47 [4536]E(f330(f330(f41(x45361,f937(x45362,a925)),x45363),f330(f330(f7(x45361,f937(x45362,a925),f937(x45362,a925)),f330(f330(f8(f937(x45362,a925),f937(f937(x45362,a925),f937(x45362,a925)),x45361),f23(f937(x45362,a925))),x45364)),x45365)),f330(f330(f23(f937(x45362,a925)),f330(f330(f41(x45361,f937(x45362,a925)),x45363),x45364)),x45365)) % 242.40/242.47 [4537]E(f330(f330(f41(x45371,f937(x45372,a925)),x45373),f330(f330(f7(x45371,f937(x45372,a925),f937(x45372,a925)),f330(f330(f8(f937(x45372,a925),f937(f937(x45372,a925),f937(x45372,a925)),x45371),f104(f937(x45372,a925))),x45374)),x45375)),f330(f330(f104(f937(x45372,a925)),f330(f330(f41(x45371,f937(x45372,a925)),x45373),x45374)),x45375)) % 242.40/242.47 [4538]E(f330(f330(f42(x45381,f937(x45382,a925)),x45383),f330(f330(f7(x45381,f937(x45382,a925),f937(x45382,a925)),f330(f330(f8(f937(x45382,a925),f937(f937(x45382,a925),f937(x45382,a925)),x45381),f113(f937(x45382,a925))),x45384)),x45385)),f330(f330(f113(f937(x45382,a925)),f330(f330(f42(x45381,f937(x45382,a925)),x45383),x45384)),x45385)) % 242.40/242.47 [4542]E(f330(f330(f41(x45421,f937(x45422,a925)),x45423),f330(f330(f18(x45421,f937(x45422,a925),f937(x45422,a925)),f330(f330(f8(f937(x45422,a925),f937(f937(x45422,a925),f937(x45422,a925)),x45421),f113(f937(x45422,a925))),x45424)),x45425)),f330(f330(f113(f937(x45422,a925)),f330(f330(f41(x45421,f937(x45422,a925)),x45423),x45424)),f330(f330(f41(x45421,f937(x45422,a925)),x45423),x45425))) % 242.40/242.47 [4543]E(f330(f330(f42(x45431,f937(x45432,a925)),x45433),f330(f330(f18(x45431,f937(x45432,a925),f937(x45432,a925)),f330(f330(f8(f937(x45432,a925),f937(f937(x45432,a925),f937(x45432,a925)),x45431),f104(f937(x45432,a925))),x45434)),x45435)),f330(f330(f104(f937(x45432,a925)),f330(f330(f42(x45431,f937(x45432,a925)),x45433),x45434)),f330(f330(f42(x45431,f937(x45432,a925)),x45433),x45435))) % 242.40/242.47 [4556]E(f330(f330(f41(x45561,f937(x45562,a925)),x45563),f330(f330(f18(x45561,f937(x45562,a925),f937(x45562,a925)),f330(f330(f8(f937(x45562,a925),f937(f937(x45562,a925),f937(x45562,a925)),x45561),f113(f937(x45562,a925))),x45564)),x45565)),f330(f330(f113(f937(x45562,a925)),f39(f937(x45562,a925),f330(f313(x45561,f937(x45562,a925),x45564),x45563))),f39(f937(x45562,a925),f330(f313(x45561,f937(x45562,a925),x45565),x45563)))) % 242.40/242.47 [4557]E(f330(f330(f42(x45571,f937(x45572,a925)),x45573),f330(f330(f18(x45571,f937(x45572,a925),f937(x45572,a925)),f330(f330(f8(f937(x45572,a925),f937(f937(x45572,a925),f937(x45572,a925)),x45571),f104(f937(x45572,a925))),x45574)),x45575)),f330(f330(f104(f937(x45572,a925)),f40(f937(x45572,a925),f330(f313(x45571,f937(x45572,a925),x45574),x45573))),f40(f937(x45572,a925),f330(f313(x45571,f937(x45572,a925),x45575),x45573)))) % 242.40/242.47 [4593]E(f330(f330(f141(x45931),f330(f192(f931(x45931)),f180(x45931,x45932,f330(f330(f157(x45933,x45931),x45934),x45935)))),f330(f330(f157(x45933,x45931),x45934),x45935)),f330(f330(f157(x45933,x45931),x45934),f330(f330(f141(x45933),f330(f192(f931(x45933)),f180(x45933,f330(f74(x45931,a925,x45933,x45932),x45934),x45935))),x45935))) % 242.40/242.47 [4469]E(f330(f330(f137(f936(x44691,x44692)),f330(f330(f184(x44691,x44692),f330(f330(f178(x44691),f330(f192(f931(x44692)),x44693)),x44694)),x44693)),f330(f330(f184(x44691,x44692),f330(f330(f141(x44691),f330(f192(f931(x44692)),x44693)),x44694)),x44695)),f330(f330(f184(x44691,x44692),x44694),f330(f330(f137(x44692),x44693),x44695))) % 242.40/242.47 [4584]E(f87(x45841,f330(f330(f18(x45841,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45841),a328),f330(f330(f7(x45841,f937(x45841,a925),a925),f332(x45841)),x45842))),f330(f330(f7(x45841,x45843,a925),f330(f330(f8(x45843,f937(x45843,a925),x45841),a327),x45844)),x45845))),f330(f79(x45841,x45843,x45842,x45844),x45845)) % 242.40/242.47 [4585]E(f92(x45851,f330(f330(f18(x45851,a925,a925),f330(f330(f8(a925,f937(a925,a925),x45851),a328),f330(f330(f7(x45851,f937(x45851,a925),a925),f332(x45851)),x45852))),f330(f330(f7(x45851,x45853,a925),f330(f330(f8(x45853,f937(x45853,a925),x45851),a327),x45854)),x45855))),f330(f94(x45851,x45853,x45852,x45854),x45855)) % 242.40/242.47 [4633]E(f330(f330(f88(a1,x46331),f330(f106(a1),f330(f330(f82(a1),x46332),a100))),f330(f330(f18(a1,x46331,x46331),f330(f330(f7(a1,x46331,f937(x46331,x46331)),f330(f330(f8(a925,f937(x46331,f937(x46331,x46331)),a1),f99(x46331)),a196)),f188(x46331,x46333,x46334,x46335))),f330(f330(f8(a930,x46331,a1),x46334),f330(f330(f7(a1,a930,a930),f330(f330(f8(a930,f937(a930,a930),a1),f82(a930)),a107)),x46335)))),f188(x46331,x46333,x46334,f330(f330(f82(a930),f330(f106(a930),x46332)),x46335))) % 242.40/242.47 [4668]E(f330(f330(f88(a1,x46681),f330(f106(a1),f330(f330(f82(a1),x46682),a100))),f330(f330(f18(a1,x46681,x46681),f330(f330(f7(a1,x46681,f937(x46681,x46681)),f330(f330(f8(a925,f937(x46681,f937(x46681,x46681)),a1),f99(x46681)),a196)),f330(f187(x46681,x46683,x46684),x46685))),f330(f330(f18(a1,x46681,x46681),f330(f330(f8(a930,f937(x46681,x46681),a1),x46684),f330(f330(f7(a1,a930,a930),f330(f330(f8(a930,f937(a930,a930),a1),f82(a930)),a107)),x46685))),f330(f330(f8(a930,x46681,a1),f187(x46681,x46683,x46684)),f330(f330(f7(a1,a930,a930),f330(f330(f8(a930,f937(a930,a930),a1),f82(a930)),a107)),x46685))))),f330(f187(x46681,x46683,x46684),f330(f330(f82(a930),f330(f106(a930),x46682)),x46685))) % 242.40/242.47 [4701]E(f330(f266(f936(x47011,x47012)),f330(f261(x47011,x47012,a925),f330(f330(f8(f937(x47012,f937(x47013,a925)),f937(x47012,a925),x47011),f330(f8(f937(x47013,a925),a925,x47012),f89(x47013))),f330(f330(f7(x47011,f937(x47012,f937(x47013,a925)),f937(x47012,f937(x47013,a925))),f330(f330(f8(f937(f937(x47013,a925),f937(x47013,a925)),f937(f937(x47012,f937(x47013,a925)),f937(x47012,f937(x47013,a925))),x47011),f8(f937(x47013,a925),f937(x47013,a925),x47012)),f330(f330(f8(f937(x47013,f937(a925,a925)),f937(f937(x47013,a925),f937(x47013,a925)),x47011),f18(x47013,a925,a925)),f330(f330(f8(f937(x47013,a925),f937(x47013,f937(a925,a925)),x47011),f330(f8(a925,f937(a925,a925),x47013),a328)),f330(f330(f7(x47011,f937(f936(x47011,x47013),a925),f937(x47013,a925)),f330(f330(f8(f937(x47013,f937(f937(f936(x47011,x47013),a925),a925)),f937(f937(f936(x47011,x47013),a925),f937(x47013,a925)),x47011),f7(x47013,f937(f936(x47011,x47013),a925),a925)),f330(f330(f8(f937(x47013,f936(x47011,x47013)),f937(x47013,f937(f937(f936(x47011,x47013),a925),a925)),x47011),f330(f8(f936(x47011,x47013),f937(f937(f936(x47011,x47013),a925),a925),x47013),f332(f936(x47011,x47013)))),f256(x47011,x47013)))),x47014))))),f330(f330(f7(x47012,f937(f936(x47013,x47012),a925),f937(x47013,a925)),f330(f330(f8(f937(x47013,f937(f937(f936(x47013,x47012),a925),a925)),f937(f937(f936(x47013,x47012),a925),f937(x47013,a925)),x47012),f7(x47013,f937(f936(x47013,x47012),a925),a925)),f330(f330(f8(f937(x47013,f936(x47013,x47012)),f937(x47013,f937(f937(f936(x47013,x47012),a925),a925)),x47012),f330(f8(f936(x47013,x47012),f937(f937(f936(x47013,x47012),a925),a925),x47013),f332(f936(x47013,x47012)))),f330(f7(x47013,x47012,f936(x47013,x47012)),f256(x47013,x47012))))),x47015))))),f330(f330(f292(x47011,x47013,x47012),x47014),x47015)) % 242.40/242.47 [4775]~E(f28(x47751,x47752,x47753),f29(x47754,x47755,x47756)) % 242.40/242.47 [4318]E(f228(x43181,x43182,x43183,x43184,f224(x43181,x43182,x43185,x43186)),f330(f330(x43184,x43185),x43186)) % 242.40/242.47 [4319]E(f229(x43191,x43192,x43193,x43194,f224(x43191,x43192,x43195,x43196)),f330(f330(x43194,x43195),x43196)) % 242.40/242.47 [4445]E(f130(x44451,x44452,x44453,x44454,f129(x44452,x44455,x44456)),f330(f330(f330(x44454,x44455),x44456),f130(x44451,x44452,x44453,x44454,x44456))) % 242.40/242.47 [4464]E(f76(x44641,x44642,f76(x44641,x44642,x44643,x44644,x44645),x44644,x44646),f76(x44641,x44642,x44643,x44644,x44646)) % 242.40/242.47 [4572]E(f330(f74(f936(x45721,x45722),x45722,f936(x45723,x45724),f260(x45721,x45722)),f262(x45723,x45721,x45724,x45722,x45725,x45726)),f330(f74(x45724,x45722,f936(x45723,x45724),x45726),f260(x45723,x45724))) % 242.40/242.47 [4573]E(f330(f74(f936(x45731,x45732),x45731,f936(x45733,x45734),f255(x45731,x45732)),f262(x45733,x45731,x45734,x45732,x45735,x45736)),f330(f74(x45733,x45731,f936(x45733,x45734),x45735),f255(x45733,x45734))) % 242.40/242.47 [4187]E(f330(f330(f74(x41871,x41872,x41873,x41874),x41875),x41876),f330(x41874,f330(x41875,x41876))) % 242.40/242.47 [4328]E(f227(x43281,f936(x43282,f932(x43282)),x43283,f330(f261(x43282,f932(x43282),x43281),x43284),f330(f138(x43282),f129(x43282,x43285,x43286))),f330(f330(x43284,x43285),x43286)) % 242.40/242.47 [4378]E(f230(x43781,x43782,x43783,x43784,f224(x43781,x43782,x43785,x43786)),f330(f330(f82(a930),f330(f330(f82(a930),f330(x43783,x43785)),f330(x43784,x43786))),f330(a115,f2(a930)))) % 242.40/242.47 [3985]E(f330(f330(f261(x39851,x39852,x39853),x39854),f330(f330(f256(x39851,x39852),x39855),x39856)),f330(f330(x39854,x39855),x39856)) % 242.40/242.47 [4045]E(f330(f330(f330(f8(x40451,x40452,x40453),x40454),x40455),x40456),f330(x40454,f330(x40455,x40456))) % 242.40/242.47 [4046]E(f330(f330(f330(f7(x40461,x40462,x40463),x40464),x40465),x40466),f330(f330(x40464,x40466),x40465)) % 242.40/242.47 [4064]E(f330(f330(f330(f18(x40641,x40642,x40643),x40644),x40645),x40646),f330(f330(x40644,x40646),f330(x40645,x40646))) % 242.40/242.47 [4087]E(f330(f159(x40871,x40872,x40873,x40874),f330(f330(f154(x40872),x40875),x40876)),f330(f330(x40874,x40875),x40876)) % 242.40/242.47 [4125]E(f172(f936(x41251,x41252),f330(f330(f237(a930),x41253),x41254),f330(f330(f256(x41251,x41252),x41255),x41256)),f330(f330(f184(x41251,x41252),f172(x41251,x41253,x41255)),f172(x41252,x41254,x41256))) % 242.40/242.47 [4191]E(f330(f330(f154(f936(x41911,x41912)),f330(f330(f256(x41911,x41912),x41913),x41914)),f330(f330(f184(x41911,x41912),x41915),x41916)),f330(f330(f184(x41911,x41912),f330(f330(f154(x41911),x41913),x41915)),f330(f330(f154(x41912),x41914),x41916))) % 242.40/242.47 [4192]E(f330(f330(f157(x41921,x41922),x41923),f330(f330(f162(x41921,x41924),x41925),x41926)),f330(f330(f162(x41922,f330(f330(f157(x41921,x41922),x41923),x41924)),x41925),f330(x41923,x41926))) % 242.40/242.47 [4216]E(f330(f330(f259(x42161,x42162,x42163,x42164),x42165),x42166),f330(x42164,f330(f330(f256(x42161,x42162),x42165),x42166))) % 242.40/242.47 [4235]E(f330(f145(x42351,x42352,x42353,x42354),f330(f330(f154(x42352),x42355),x42356)),f330(f145(x42351,x42352,x42353,f330(f330(x42353,x42354),x42355)),x42356)) % 242.40/242.47 [4261]E(f264(x42611,x42612,x42613,x42614,f330(f330(f256(x42611,x42612),x42615),x42616)),f330(f330(x42614,x42615),x42616)) % 242.40/242.47 [4342]E(f330(f330(f41(x43421,f937(x43422,a925)),x43423),f330(f74(x43424,f937(x43422,a925),x43421,x43425),x43426)),f330(f330(f41(x43424,f937(x43422,a925)),f330(f313(x43421,x43424,x43426),x43423)),x43425)) % 242.40/242.47 [4392]E(f330(f330(f157(x43921,x43922),x43923),f330(f330(f157(x43924,x43921),x43925),x43926)),f330(f330(f157(x43924,x43922),f330(f74(x43921,x43922,x43924,x43923),x43925)),x43926)) % 242.40/242.47 [4398]E(f330(f313(x43981,x43982,f330(f74(x43983,x43982,x43981,x43984),x43985)),x43986),f330(f313(x43983,x43982,x43984),f330(f313(x43981,x43983,x43985),x43986))) % 242.40/242.47 [4399]E(f330(f314(x43991,x43992,f330(f74(x43993,x43992,x43991,x43994),x43995)),x43996),f330(f314(x43991,x43993,x43995),f330(f314(x43993,x43992,x43994),x43996))) % 242.40/242.47 [4427]E(f330(f145(x44271,x44272,x44273,f330(f145(x44271,x44272,x44273,x44274),x44275)),x44276),f330(f145(x44271,x44272,x44273,x44274),f330(f330(f137(x44272),x44275),x44276))) % 242.40/242.47 [4562]E(f330(f262(x45621,x45621,x45622,x45623,f33(x45621),x45624),f330(f330(f256(x45621,x45622),x45625),x45626)),f330(f330(f256(x45621,x45623),x45625),f330(x45624,x45626))) % 242.40/242.47 [4563]E(f330(f262(x45631,x45632,x45633,x45633,x45634,f33(x45633)),f330(f330(f256(x45631,x45633),x45635),x45636)),f330(f330(f256(x45632,x45633),f330(x45634,x45635)),x45636)) % 242.40/242.47 [4651]E(f330(f330(f157(f936(x46511,x46512),f936(x46511,x46513)),f330(f261(x46511,x46512,f936(x46511,x46513)),f330(f330(f7(x46511,f937(x46512,x46513),f937(x46512,f936(x46511,x46513))),f330(f330(f8(f937(x46513,f936(x46511,x46513)),f937(f937(x46512,x46513),f937(x46512,f936(x46511,x46513))),x46511),f8(x46513,f936(x46511,x46513),x46512)),f256(x46511,x46513))),x46514))),f330(f330(f184(x46511,x46512),x46515),x46516)),f330(f330(f184(x46511,x46513),x46515),f330(f330(f157(x46512,x46513),x46514),x46516))) % 242.40/242.47 [4050]E(f97(x40501,x40502,x40503,f330(f330(f330(f93(x40501),x40504),x40505),x40506)),f330(f330(f330(x40503,x40504),x40505),x40506)) % 242.40/242.47 [4051]E(f98(x40511,x40512,x40513,f330(f330(f330(f93(x40511),x40514),x40515),x40516)),f330(f330(f330(x40513,x40514),x40515),x40516)) % 242.40/242.47 [4245]E(f330(f330(f74(x42451,x42452,x42453,f330(f16(x42452,x42451),x42454)),x42455),x42456),x42454) % 242.40/242.47 [4277]E(f330(f313(x42771,x42772,x42773),f330(f313(x42774,x42771,x42775),x42776)),f330(f313(x42774,x42772,f330(f330(f8(x42771,x42772,x42774),x42773),x42775)),x42776)) % 242.40/242.47 [4283]E(f330(f330(f41(x42831,f937(x42832,a925)),f330(f313(x42833,x42831,x42834),x42835)),x42836),f330(f330(f41(x42833,f937(x42832,a925)),x42835),f330(f330(f8(x42831,f937(x42832,a925),x42833),x42836),x42834))) % 242.40/242.47 [4284]E(f330(f330(f42(x42841,f937(x42842,a925)),f330(f313(x42843,x42841,x42844),x42845)),x42846),f330(f330(f42(x42843,f937(x42842,a925)),x42845),f330(f330(f8(x42841,f937(x42842,a925),x42843),x42846),x42844))) % 242.40/242.47 [4285]E(f330(f330(f41(x42851,f937(x42852,a925)),x42853),f330(f330(f8(x42854,f937(x42852,a925),x42851),x42855),x42856)),f330(f330(f41(x42854,f937(x42852,a925)),f330(f313(x42851,x42854,x42856),x42853)),x42855)) % 242.40/242.47 [4286]E(f330(f330(f42(x42861,f937(x42862,a925)),x42863),f330(f330(f8(x42864,f937(x42862,a925),x42861),x42865),x42866)),f330(f330(f42(x42864,f937(x42862,a925)),f330(f313(x42861,x42864,x42866),x42863)),x42865)) % 242.40/242.47 [4344]E(f330(f330(f41(x43441,f937(x43442,a925)),x43443),f330(f330(f8(f937(x43444,a925),f937(x43442,a925),x43441),f313(x43444,x43442,x43445)),x43446)),f330(f313(x43444,x43442,x43445),f330(f330(f41(x43441,f937(x43444,a925)),x43443),x43446))) % 242.40/242.47 [4345]E(f330(f330(f41(x43451,f937(x43452,a925)),x43453),f330(f330(f8(f937(x43454,a925),f937(x43452,a925),x43451),f314(x43452,x43454,x43455)),x43456)),f330(f314(x43452,x43454,x43455),f330(f330(f41(x43451,f937(x43454,a925)),x43453),x43456))) % 242.40/242.47 [4346]E(f330(f330(f42(x43461,f937(x43462,a925)),x43463),f330(f330(f8(f937(x43464,a925),f937(x43462,a925),x43461),f314(x43462,x43464,x43465)),x43466)),f330(f314(x43462,x43464,x43465),f330(f330(f42(x43461,f937(x43464,a925)),x43463),x43466))) % 242.40/242.47 [4347]E(f330(f330(f41(x43471,f937(x43472,a925)),x43473),f330(f330(f8(f937(x43474,a925),f937(x43472,a925),x43471),f289(x43474,x43472,x43475)),x43476)),f330(f289(x43474,x43472,x43475),f330(f330(f41(x43471,f937(x43474,a925)),x43473),x43476))) % 242.40/242.47 [4432]E(f330(f145(x44321,x44322,f330(f7(x44322,x44321,x44321),x44323),x44324),f330(f171(x44322),f330(f330(f154(x44322),x44325),x44326))),f330(f330(x44323,x44325),f330(f145(x44321,x44322,f330(f7(x44322,x44321,x44321),x44323),x44324),f330(f171(x44322),x44326)))) % 242.40/242.47 [4491]E(f330(f330(f18(f936(x44911,x44912),x44912,x44913),f330(f330(f8(x44914,f937(x44912,x44913),f936(x44911,x44912)),x44915),f330(f330(f8(x44911,x44914,f936(x44911,x44912)),x44916),f255(x44911,x44912)))),f260(x44911,x44912)),f330(f261(x44911,x44912,x44913),f330(f330(f8(x44914,f937(x44912,x44913),x44911),x44915),x44916))) % 242.40/242.47 [4498]E(f330(f145(x44981,x44982,f330(f7(x44982,x44981,x44981),x44983),f330(f145(x44981,x44982,f330(f7(x44982,x44981,x44981),x44983),x44984),f330(f171(x44982),x44985))),f330(f171(x44982),x44986)),f330(f145(x44981,x44982,f330(f7(x44982,x44981,x44981),x44983),x44984),f330(f171(x44982),f330(f330(f137(x44982),x44986),x44985)))) % 242.40/242.47 [4500]E(f330(f330(f157(f936(x45001,x45002),f936(x45003,x45002)),f330(f261(x45001,x45002,f936(x45003,x45002)),f330(f330(f8(x45003,f937(x45002,f936(x45003,x45002)),x45001),f256(x45003,x45002)),x45004))),f330(f330(f184(x45001,x45002),x45005),x45006)),f330(f330(f184(x45003,x45002),f330(f330(f157(x45001,x45003),x45004),x45005)),x45006)) % 242.40/242.47 [4545]P1(f330(f330(f239(f937(x45451,a925)),f330(f289(x45452,x45451,x45453),f330(f330(f42(x45454,f937(x45452,a925)),x45455),x45456))),f330(f330(f42(x45454,f937(x45451,a925)),x45455),f330(f330(f8(f937(x45452,a925),f937(x45451,a925),x45454),f289(x45452,x45451,x45453)),x45456)))) % 242.40/242.47 [4357]E(f330(f330(f184(x43571,x43572),f330(f330(f162(x43571,x43573),x43574),f330(f255(x43571,x43572),x43575))),f330(f330(f162(x43572,x43576),x43574),f330(f260(x43571,x43572),x43575))),f330(f330(f162(f936(x43571,x43572),f330(f330(f184(x43571,x43572),x43573),x43576)),x43574),x43575)) % 242.40/242.47 [4415]E(f330(f330(f113(f937(f936(x44151,x44152),a925)),f330(f330(f292(x44151,x44153,x44152),x44154),x44155)),f330(f330(f292(x44151,x44153,x44152),x44154),x44156)),f330(f330(f292(x44151,x44153,x44152),x44154),f330(f330(f113(f937(f936(x44153,x44152),a925)),x44155),x44156))) % 242.40/242.47 [4510]E(f330(f330(f312(f936(x45101,x45102)),f330(f330(f256(x45101,x45102),x45103),x45104)),f330(f330(f113(f937(f936(x45101,x45102),a925)),f330(f330(f258(x45101,x45102),x45105),f330(f16(f937(x45102,a925),x45101),f330(f330(f312(x45102),x45104),x45106)))),f330(f330(f258(x45101,x45102),f330(f330(f312(x45101),x45103),x45105)),f330(f16(f937(x45102,a925),x45101),x45106)))),f330(f330(f258(x45101,x45102),f330(f330(f312(x45101),x45103),x45105)),f330(f16(f937(x45102,a925),x45101),f330(f330(f312(x45102),x45104),x45106)))) % 242.40/242.47 [4589]E(f330(f330(f104(f937(x45891,a925)),f330(f314(x45891,x45892,f330(f74(f936(x45892,x45893),x45892,x45891,f255(x45892,x45893)),x45894)),x45895)),f330(f314(x45891,x45893,f330(f74(f936(x45892,x45893),x45893,x45891,f260(x45892,x45893)),x45894)),x45896)),f330(f314(x45891,f936(x45892,x45893),x45894),f330(f330(f258(x45892,x45893),x45895),f330(f16(f937(x45893,a925),x45892),x45896)))) % 242.40/242.47 [4439]E(f330(f330(f113(f937(f936(x44391,x44392),a925)),f330(f330(f292(x44391,x44393,x44392),x44394),x44395)),f330(f330(f292(x44391,x44393,x44392),x44396),x44395)),f330(f330(f292(x44391,x44393,x44392),f330(f330(f113(f937(f936(x44391,x44393),a925)),x44394),x44396)),x44395)) % 242.40/242.47 [4570]E(f330(f330(f41(x45701,f937(x45702,a925)),x45703),f330(f330(f7(x45701,f937(x45704,f937(x45702,a925)),f937(x45702,a925)),f330(f330(f8(f937(x45704,a925),f937(f937(x45704,f937(x45702,a925)),f937(x45702,a925)),x45701),f41(x45704,f937(x45702,a925))),x45705)),x45706)),f330(f330(f41(x45704,f937(x45702,a925)),f330(f330(f41(x45701,f937(x45704,a925)),x45703),x45705)),x45706)) % 242.40/242.47 [4571]E(f330(f330(f42(x45711,f937(x45712,a925)),x45713),f330(f330(f7(x45711,f937(x45714,f937(x45712,a925)),f937(x45712,a925)),f330(f330(f8(f937(x45714,a925),f937(f937(x45714,f937(x45712,a925)),f937(x45712,a925)),x45711),f42(x45714,f937(x45712,a925))),x45715)),x45716)),f330(f330(f42(x45714,f937(x45712,a925)),f330(f330(f41(x45711,f937(x45714,a925)),x45713),x45715)),x45716)) % 242.40/242.47 [4623]E(f330(f261(x46231,x46232,f936(x46233,x46234)),f330(f330(f7(x46231,f937(x46232,x46234),f937(x46232,f936(x46233,x46234))),f330(f330(f8(f937(x46234,f936(x46233,x46234)),f937(f937(x46232,x46234),f937(x46232,f936(x46233,x46234))),x46231),f8(x46234,f936(x46233,x46234),x46232)),f330(f330(f8(x46233,f937(x46234,f936(x46233,x46234)),x46231),f256(x46233,x46234)),x46235))),x46236)),f262(x46231,x46233,x46232,x46234,x46235,x46236)) % 242.40/242.47 [4646]E(f330(f313(x46461,x46462,f330(f330(f18(x46461,x46462,x46462),f330(f330(f18(x46461,x46462,f937(x46462,x46462)),f330(f330(f8(a925,f937(x46462,f937(x46462,x46462)),x46461),f99(x46462)),x46463)),x46464)),x46465)),x46466),f330(f330(f113(f937(x46462,a925)),f330(f313(x46461,x46462,x46464),f330(f330(f104(f937(x46461,a925)),x46466),f330(f266(x46461),x46463)))),f330(f313(x46461,x46462,x46465),f330(f330(f104(f937(x46461,a925)),x46466),f330(f266(x46461),f330(f330(f8(a925,a925,x46461),a325),x46463)))))) % 242.40/242.47 [4658]E(f330(f313(x46581,f936(x46582,x46583),f330(f330(f18(x46581,x46583,f936(x46582,x46583)),f330(f330(f8(x46582,f937(x46583,f936(x46582,x46583)),x46581),f256(x46582,x46583)),x46584)),x46585)),x46586),f330(f330(f258(x46582,x46583),f330(f313(x46581,x46582,x46584),x46586)),f330(f330(f8(f937(x46581,a925),f937(x46583,a925),x46582),f313(x46581,x46583,x46585)),f330(f330(f7(x46582,f937(x46581,a925),f937(x46581,a925)),f330(f330(f8(f937(x46581,a925),f937(f937(x46581,a925),f937(x46581,a925)),x46582),f104(f937(x46581,a925))),f330(f330(f8(f937(x46582,a925),f937(x46581,a925),x46582),f314(x46581,x46582,x46584)),f330(f330(f7(x46582,f937(x46582,a925),f937(x46582,a925)),f312(x46582)),f191(f937(x46582,a925)))))),x46586)))) % 242.40/242.47 [4683]E(f250(x46831,x46832,x46833,x46834,x46835,x46836),f330(x46834,f330(f266(x46831),f330(f330(f8(f937(f937(x46833,x46831),a925),a925,x46831),f89(f937(x46833,x46831))),f330(f330(f8(f937(f937(x46833,x46831),a925),f937(f937(x46833,x46831),a925),x46831),f330(f18(f937(x46833,x46831),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x46833,x46831)),a328),f330(f330(f7(f937(x46833,x46831),f937(f937(x46833,x46831),a925),a925),f332(f937(x46833,x46831))),x46835)))),f330(f330(f7(x46831,f937(f937(x46833,x46831),x46831),f937(f937(x46833,x46831),a925)),f330(f330(f8(f937(x46831,a925),f937(f937(f937(x46833,x46831),x46831),f937(f937(x46833,x46831),a925)),x46831),f8(x46831,a925,f937(x46833,x46831))),a327)),f330(f330(f7(f937(x46833,x46831),x46833,x46831),f5(f937(x46833,x46831))),x46836))))))) % 242.40/242.47 [4472]E(f330(f74(x44721,x44722,x44723,x44724),f76(x44723,x44721,x44725,x44726,x44727)),f76(x44723,x44722,f330(f74(x44721,x44722,x44723,x44724),x44725),x44726,f330(x44724,x44727))) % 242.40/242.47 [4606]E(f330(f260(x46061,x46062),f330(f262(x46063,x46061,x46064,x46062,x46065,x46066),x46067)),f330(x46066,f330(f260(x46063,x46064),x46067))) % 242.40/242.47 [4607]E(f330(f255(x46071,x46072),f330(f262(x46073,x46071,x46074,x46072,x46075,x46076),x46077)),f330(x46075,f330(f255(x46073,x46074),x46077))) % 242.40/242.47 [4320]E(f330(f330(f184(x43201,x43202),f330(f330(f162(x43201,x43203),x43204),x43205)),f330(f330(f162(x43202,x43206),x43204),x43207)),f330(f330(f162(f936(x43201,x43202),f330(f330(f184(x43201,x43202),x43203),x43206)),x43204),f330(f330(f256(x43201,x43202),x43205),x43207))) % 242.40/242.47 [4387]E(f330(f330(f330(f263(x43871,x43872,x43873,x43874),x43875),x43876),x43877),f330(f330(f261(x43872,x43873,x43874),x43876),f330(x43875,x43877))) % 242.40/242.47 [4397]E(f330(f330(f330(f263(x43971,x43972,x43973,x43974),x43975),x43976),x43977),f330(f330(x43976,f330(f255(x43972,x43973),f330(x43975,x43977))),f330(f260(x43972,x43973),f330(x43975,x43977)))) % 242.40/242.47 [4450]E(f330(f74(x44501,x44502,x44503,x44504),f330(f74(x44505,x44501,x44503,x44506),x44507)),f330(f74(x44505,x44502,x44503,f330(f74(x44501,x44502,x44505,x44504),x44506)),x44507)) % 242.40/242.47 [4627]E(f330(f262(x46271,x46272,x46273,x46273,x46274,f33(x46273)),f330(f262(x46271,x46271,x46275,x46273,f33(x46271),x46276),x46277)),f330(f330(f256(x46272,x46273),f330(x46274,f330(f255(x46271,x46275),x46277))),f330(x46276,f330(f260(x46271,x46275),x46277)))) % 242.40/242.47 [4628]E(f330(f262(x46281,x46281,x46282,x46283,f33(x46281),x46284),f330(f262(x46285,x46281,x46282,x46282,x46286,f33(x46282)),x46287)),f330(f330(f256(x46281,x46283),f330(x46286,f330(f255(x46285,x46282),x46287))),f330(x46284,f330(f260(x46285,x46282),x46287)))) % 242.40/242.47 [4644]E(f330(f262(x46441,x46442,x46443,x46443,x46444,f33(x46443)),f330(f262(x46445,x46441,x46443,x46443,x46446,f33(x46443)),x46447)),f330(f262(x46445,x46442,x46443,x46443,f330(f74(x46441,x46442,x46445,x46444),x46446),f33(x46443)),x46447)) % 242.40/242.47 [4645]E(f330(f262(x46451,x46451,x46452,x46453,f33(x46451),x46454),f330(f262(x46451,x46451,x46455,x46452,f33(x46451),x46456),x46457)),f330(f262(x46451,x46451,x46455,x46453,f33(x46451),f330(f74(x46452,x46453,x46455,x46454),x46456)),x46457)) % 242.40/242.47 [4655]E(f330(f262(x46551,x46552,x46553,x46553,x46554,f33(x46553)),f330(f262(x46551,x46551,x46555,x46553,f33(x46551),x46556),x46557)),f330(f262(x46552,x46552,x46555,x46553,f33(x46552),x46556),f330(f262(x46551,x46552,x46555,x46555,x46554,f33(x46555)),x46557))) % 242.40/242.47 [4354]E(f330(f330(f292(x43541,x43542,x43543),f330(f330(f292(x43541,x43544,x43542),x43545),x43546)),x43547),f330(f330(f292(x43541,x43544,x43543),x43545),f330(f330(f292(x43544,x43542,x43543),x43546),x43547))) % 242.40/242.47 [4421]E(f330(f330(f261(x44211,x44212,x44213),f330(f74(x44214,f937(x44212,x44213),x44211,x44215),x44216)),x44217),f330(f330(x44215,f330(x44216,f330(f255(x44211,x44212),x44217))),f330(f260(x44211,x44212),x44217))) % 242.40/242.47 [4503]E(f330(f145(x45031,x45032,f330(f7(x45032,x45031,x45031),x45033),x45034),f330(f171(x45032),f330(f330(f157(x45035,x45032),x45036),x45037))),f330(f145(x45031,x45035,f330(f7(x45035,x45031,x45031),f330(f74(x45032,f937(x45031,x45031),x45035,x45033),x45036)),x45034),f330(f171(x45035),x45037))) % 242.40/242.47 [4451]E(f330(f330(f41(x44511,f937(f936(x44512,x44513),a925)),x44514),f330(f330(f8(f937(f936(x44515,x44513),a925),f937(f936(x44512,x44513),a925),x44511),f330(f292(x44512,x44515,x44513),x44516)),x44517)),f330(f330(f292(x44512,x44515,x44513),x44516),f330(f330(f41(x44511,f937(f936(x44515,x44513),a925)),x44514),x44517))) % 242.40/242.47 [4594]E(f330(f330(f41(x45941,f937(f936(x45942,x45943),a925)),x45944),f330(f330(f7(x45941,f937(f936(x45945,x45943),a925),f937(f936(x45942,x45943),a925)),f330(f330(f8(f937(f936(x45942,x45945),a925),f937(f937(f936(x45945,x45943),a925),f937(f936(x45942,x45943),a925)),x45941),f292(x45942,x45945,x45943)),x45946)),x45947)),f330(f330(f292(x45942,x45945,x45943),f330(f330(f41(x45941,f937(f936(x45942,x45945),a925)),x45944),x45946)),x45947)) % 242.40/242.47 [4595]E(f330(f145(x45951,x45952,f330(f330(f7(x45951,f937(x45952,x45953),f937(x45952,x45951)),f330(f330(f8(f937(x45953,x45951),f937(f937(x45952,x45953),f937(x45952,x45951)),x45951),f8(x45953,x45951,x45952)),x45954)),x45955),x45956),x45957),f330(f145(x45951,x45953,x45954,x45956),f330(f330(f157(x45952,x45953),x45955),x45957))) % 242.40/242.47 [4656]E(f330(f330(f42(x46561,f937(x46562,a925)),x46563),f330(f330(f8(f937(x46564,f937(x46562,a925)),f937(x46562,a925),x46561),f330(f42(x46564,f937(x46562,a925)),x46565)),f330(f330(f7(x46561,f937(x46564,f937(x46562,a925)),f937(x46564,f937(x46562,a925))),f330(f330(f8(f937(f937(x46562,a925),f937(x46562,a925)),f937(f937(x46564,f937(x46562,a925)),f937(x46564,f937(x46562,a925))),x46561),f8(f937(x46562,a925),f937(x46562,a925),x46564)),f330(f330(f8(f937(x46562,a925),f937(f937(x46562,a925),f937(x46562,a925)),x46561),f113(f937(x46562,a925))),x46566))),x46567))),f330(f330(f113(f937(x46562,a925)),f330(f330(f42(x46561,f937(x46562,a925)),x46563),x46566)),f330(f330(f42(x46564,f937(x46562,a925)),x46565),x46567))) % 242.40/242.47 [4657]E(f330(f330(f41(x46571,f937(x46572,a925)),x46573),f330(f330(f8(f937(x46574,f937(x46572,a925)),f937(x46572,a925),x46571),f330(f41(x46574,f937(x46572,a925)),x46575)),f330(f330(f7(x46571,f937(x46574,f937(x46572,a925)),f937(x46574,f937(x46572,a925))),f330(f330(f8(f937(f937(x46572,a925),f937(x46572,a925)),f937(f937(x46574,f937(x46572,a925)),f937(x46574,f937(x46572,a925))),x46571),f8(f937(x46572,a925),f937(x46572,a925),x46574)),f330(f330(f8(f937(x46572,a925),f937(f937(x46572,a925),f937(x46572,a925)),x46571),f104(f937(x46572,a925))),x46576))),x46577))),f330(f330(f104(f937(x46572,a925)),f330(f330(f41(x46571,f937(x46572,a925)),x46573),x46576)),f330(f330(f41(x46574,f937(x46572,a925)),x46575),x46577))) % 242.40/242.47 [4649]E(f201(x46491,x46492,f330(f330(f330(x46493,x46494),x46495),x46496),f330(f330(f7(x46491,f936(a102,a102),f937(a102,f932(x46492))),f330(f330(f7(x46491,a102,f937(f936(a102,a102),f937(a102,f932(x46492)))),f330(f330(f7(x46491,a102,f937(a102,f937(f936(a102,a102),f937(a102,f932(x46492))))),x46497),x46494)),x46495)),x46496)),f330(f330(f330(f213(x46491,x46492,x46493,x46497),x46494),x46495),x46496)) % 242.40/242.47 [4663]E(f202(x46631,x46632,f330(f330(f330(x46633,x46634),x46635),x46636),f330(f330(f7(x46631,f936(a102,a102),f937(a102,f932(x46632))),f330(f330(f7(x46631,a102,f937(f936(a102,a102),f937(a102,f932(x46632)))),f330(f330(f7(x46631,a102,f937(a102,f937(f936(a102,a102),f937(a102,f932(x46632))))),x46637),x46634)),x46635)),x46636)),f215(x46631,x46632,x46633,x46637,x46634,x46635,x46636)) % 242.40/242.47 [4654]E(f199(x46541,x46542,f330(f330(f330(x46543,x46544),x46545),x46546),f330(f330(f7(x46541,f936(a102,a102),f937(a102,f932(f934(x46542)))),f330(f330(f7(x46541,a102,f937(f936(a102,a102),f937(a102,f932(f934(x46542))))),f330(f330(f7(x46541,a102,f937(a102,f937(f936(a102,a102),f937(a102,f932(f934(x46542)))))),x46547),x46544)),x46545)),x46546)),f330(f330(f330(f209(x46541,x46542,x46543,x46547),x46544),x46545),x46546)) % 242.40/242.47 [4665]E(f200(x46651,x46652,f330(f330(f330(x46653,x46654),x46655),x46656),f330(f330(f7(x46651,f936(a102,a102),f937(a102,f932(f934(x46652)))),f330(f330(f7(x46651,a102,f937(f936(a102,a102),f937(a102,f932(f934(x46652))))),f330(f330(f7(x46651,a102,f937(a102,f937(f936(a102,a102),f937(a102,f932(f934(x46652)))))),x46657),x46654)),x46655)),x46656)),f211(x46651,x46652,x46653,x46657,x46654,x46655,x46656)) % 242.40/242.47 [4564]E(f330(f262(x45641,x45642,x45643,x45644,x45645,x45646),f330(f330(f256(x45641,x45643),x45647),x45648)),f330(f330(f256(x45642,x45644),f330(x45645,x45647)),f330(x45646,x45648))) % 242.40/242.47 [4667]E(f330(f330(f157(f936(x46671,x46672),f936(x46673,x46674)),f330(f261(x46671,x46672,f936(x46673,x46674)),f330(f330(f7(x46671,f937(x46672,x46674),f937(x46672,f936(x46673,x46674))),f330(f330(f8(f937(x46674,f936(x46673,x46674)),f937(f937(x46672,x46674),f937(x46672,f936(x46673,x46674))),x46671),f8(x46674,f936(x46673,x46674),x46672)),f330(f330(f8(x46673,f937(x46674,f936(x46673,x46674)),x46671),f256(x46673,x46674)),x46675))),x46676))),f330(f330(f184(x46671,x46672),x46677),x46678)),f330(f330(f184(x46673,x46674),f330(f330(f157(x46671,x46673),x46675),x46677)),f330(f330(f157(x46672,x46674),x46676),x46678))) % 242.40/242.47 [4670]E(f330(f330(f157(f936(x46701,x46702),x46703),f330(f261(x46701,x46702,x46703),f330(f330(f8(f937(x46702,f936(x46701,x46704)),f937(x46702,x46703),x46701),f330(f8(f936(x46701,x46704),x46703,x46702),x46705)),f330(f330(f7(x46701,f937(x46702,x46704),f937(x46702,f936(x46701,x46704))),f330(f330(f8(f937(x46704,f936(x46701,x46704)),f937(f937(x46702,x46704),f937(x46702,f936(x46701,x46704))),x46701),f8(x46704,f936(x46701,x46704),x46702)),f256(x46701,x46704))),x46706)))),f330(f330(f184(x46701,x46702),x46707),x46708)),f330(f330(f157(f936(x46701,x46704),x46703),x46705),f330(f330(f184(x46701,x46704),x46707),f330(f330(f157(x46702,x46704),x46706),x46708)))) % 242.40/242.47 [4598]E(f330(f330(f157(f936(x45981,x45982),x45983),f330(f261(x45981,x45982,x45983),f330(f330(f8(f937(x45982,f936(x45984,x45982)),f937(x45982,x45983),x45981),f330(f8(f936(x45984,x45982),x45983,x45982),x45985)),f330(f330(f8(x45984,f937(x45982,f936(x45984,x45982)),x45981),f256(x45984,x45982)),x45986)))),f330(f330(f184(x45981,x45982),x45987),x45988)),f330(f330(f157(f936(x45984,x45982),x45983),x45985),f330(f330(f184(x45984,x45982),f330(f330(f157(x45981,x45984),x45986),x45987)),x45988))) % 242.40/242.47 [4555]E(f330(f330(f261(x45551,x45552,x45553),f330(f330(f8(f937(x45552,f936(x45554,x45555)),f937(x45552,x45553),x45551),f330(f8(f936(x45554,x45555),x45553,x45552),f330(f261(x45554,x45555,x45553),x45556))),x45557)),x45558),f330(f330(f261(x45554,x45555,x45553),x45556),f330(f330(f261(x45551,x45552,f936(x45554,x45555)),x45557),x45558))) % 242.40/242.47 [4671]E(f330(f330(f41(f936(x46711,x46712),f937(f936(x46713,x46714),a925)),f330(f330(f258(x46711,x46712),x46715),f330(f16(f937(x46712,a925),x46711),x46716))),f330(f261(x46711,x46712,f937(f936(x46713,x46714),a925)),f330(f330(f7(x46711,f937(x46712,f937(x46713,f937(x46714,a925))),f937(x46712,f937(f936(x46713,x46714),a925))),f330(f330(f8(f937(f937(x46713,f937(x46714,a925)),f937(f936(x46713,x46714),a925)),f937(f937(x46712,f937(x46713,f937(x46714,a925))),f937(x46712,f937(f936(x46713,x46714),a925))),x46711),f8(f937(x46713,f937(x46714,a925)),f937(f936(x46713,x46714),a925),x46712)),f330(f330(f8(f937(x46713,a925),f937(f937(x46713,f937(x46714,a925)),f937(f936(x46713,x46714),a925)),x46711),f258(x46713,x46714)),x46717))),f330(f330(f8(f937(x46714,a925),f937(x46713,f937(x46714,a925)),x46712),f16(f937(x46714,a925),x46713)),x46718)))),f330(f330(f258(x46713,x46714),f330(f330(f41(x46711,f937(x46713,a925)),x46715),x46717)),f330(f16(f937(x46714,a925),x46713),f330(f330(f41(x46712,f937(x46714,a925)),x46716),x46718)))) % 242.40/242.47 [4612]E(f330(f330(f263(x46121,x46122,x46123,x46124),f330(f330(f263(x46121,x46125,x46126,f936(x46122,x46123)),x46127),x46128)),x46129),f330(f330(f263(x46121,x46125,x46126,x46124),x46127),f330(f330(f7(x46125,f937(x46122,f937(x46123,x46124)),f937(x46126,x46124)),f330(f330(f8(f937(x46126,f936(x46122,x46123)),f937(f937(x46122,f937(x46123,x46124)),f937(x46126,x46124)),x46125),f263(x46126,x46122,x46123,x46124)),x46128)),x46129))) % 242.40/242.47 [4641]E(f330(f74(f936(x46411,x46412),f936(x46413,x46414),f936(x46415,x46416),f262(x46411,x46413,x46412,x46414,x46417,x46418)),f262(x46415,x46411,x46416,x46412,x46419,x464110)),f262(x46415,x46413,x46416,x46414,f330(f74(x46411,x46413,x46415,x46417),x46419),f330(f74(x46412,x46414,x46416,x46418),x464110))) % 242.40/242.47 [4647]E(f330(f262(x46471,x46472,x46473,x46474,x46475,x46476),f330(f262(x46477,x46471,x46478,x46473,x46479,x464710),x464711)),f330(f262(x46477,x46472,x46478,x46474,f330(f74(x46471,x46472,x46477,x46475),x46479),f330(f74(x46473,x46474,x46478,x46476),x464710)),x464711)) % 242.40/242.47 [4804]~P7(x48041)+P7(f934(x48041)) % 242.40/242.47 [4805]~P69(x48051)+P69(f934(x48051)) % 242.40/242.47 [4806]~P108(x48061)+P108(f931(x48061)) % 242.40/242.47 [4809]~P141(x48091)+~E(f80(x48091),f2(x48091)) % 242.40/242.47 [4811]~E(x48111,f2(a102))+E(f330(a22,x48111),f2(a1)) % 242.40/242.47 [4812]~E(x48121,f2(a1))+E(f84(a1,x48121),f2(a1)) % 242.40/242.47 [4818]~P147(x48181)+P33(x48181,f2(x48181)) % 242.40/242.47 [4820]~P112(x48201)+P16(x48201,f116(x48201)) % 242.40/242.47 [4829]P1(x48291)+P1(f330(a325,x48291)) % 242.40/242.47 [4883]~P147(x48831)+~P33(x48831,f80(x48831)) % 242.40/242.47 [4925]~P1(x49251)+~P1(f330(a325,x49251)) % 242.40/242.47 [4946]E(f330(a107,x49461),f2(a930))+~P1(f330(a196,x49461)) % 242.40/242.47 [5012]~P105(x50121)+P17(x50121,x50121,f113(x50121)) % 242.40/242.47 [5013]~P106(x50131)+P17(x50131,x50131,f104(x50131)) % 242.40/242.47 [5014]~P112(x50141)+P17(x50141,x50141,f237(x50141)) % 242.40/242.47 [5015]~P112(x50151)+P17(x50151,x50151,f238(x50151)) % 242.40/242.47 [5016]~P100(x50161)+P17(x50161,x50161,f83(x50161)) % 242.40/242.47 [5017]~P78(x50171)+P19(x50171,x50171,f83(x50171)) % 242.40/242.47 [4815]~E(x48151,f2(a930))+E(f330(f103(a1),x48151),f2(a1)) % 242.40/242.47 [4822]~P98(x48221)+E(f330(f106(x48221),a85),f2(x48221)) % 242.40/242.47 [4825]~E(f565(x48251),f2(a930))+E(f330(f168(a930),x48251),f2(a930)) % 242.40/242.47 [4826]~P111(x48261)+E(f241(x48261,f239(x48261)),f237(x48261)) % 242.40/242.47 [4827]~P111(x48271)+E(f242(x48271,f239(x48271)),f238(x48271)) % 242.40/242.47 [4828]~P94(x48281)+E(f84(x48281,f2(x48281)),f2(x48281)) % 242.40/242.47 [4837]~P147(x48371)+E(f330(f103(x48371),f2(a930)),f2(x48371)) % 242.40/242.47 [4838]~P147(x48381)+E(f330(f103(x48381),f80(a930)),f80(x48381)) % 242.40/242.47 [4839]~P142(x48391)+E(f330(f105(x48391),f2(a1)),f2(x48391)) % 242.40/242.47 [4840]~P142(x48401)+E(f330(f105(x48401),f80(a1)),f80(x48401)) % 242.40/242.47 [4841]E(x48411,f2(a930))+~E(f330(f103(a1),x48411),f2(a1)) % 242.40/242.47 [4877]~P96(x48771)+E(f330(f81(x48771),f191(x48771)),f246(x48771)) % 242.40/242.47 [4878]~P96(x48781)+E(f330(f81(x48781),f246(x48781)),f191(x48781)) % 242.40/242.47 [4879]~P5(x48791)+E(f330(f81(x48791),f2(x48791)),f2(x48791)) % 242.40/242.47 [4880]~P91(x48801)+E(f330(f77(x48801),f2(x48801)),f2(x48801)) % 242.40/242.47 [4881]~P115(x48811)+E(f330(f77(x48811),f80(x48811)),f80(x48811)) % 242.40/242.47 [4882]~P85(x48821)+E(f330(f168(x48821),f116(x48821)),f2(x48821)) % 242.40/242.47 [4901]~P41(x49011)+P45(f330(f175(a1),x49011)) % 242.40/242.47 [4930]~P98(x49301)+E(f330(f81(x49301),f80(x49301)),f330(f106(x49301),a100)) % 242.40/242.47 [4945]~P98(x49451)+P33(x49451,f330(f106(x49451),a85)) % 242.40/242.47 [4971]P41(x49711)+~P45(f330(f175(a1),x49711)) % 242.40/242.47 [5018]E(f330(f103(a1),f330(a107,x50181)),x50181)+P1(f330(a196,x50181)) % 242.40/242.47 [5088]~P117(x50881)+E(f249(x50881,f80(x50881),f83(x50881)),f248(x50881)) % 242.40/242.47 [5121]~P98(x51211)+~P33(x51211,f330(f106(x51211),a100)) % 242.40/242.47 [5268]E(f330(f77(a1),x52681),x52681)+P1(f330(f330(f240(a1),x52681),f2(a1))) % 242.40/242.47 [5286]~E(f330(a107,x52861),f2(a930))+P1(f330(f330(f239(a1),x52861),f2(a1))) % 242.40/242.47 [5350]~P1(f330(a196,x53501))+P1(f330(f330(f240(a1),x53501),f2(a1))) % 242.40/242.47 [5390]~P142(x53901)+P1(f330(f330(f332(x53901),f2(x53901)),f112(x53901))) % 242.40/242.47 [5391]~P147(x53911)+P1(f330(f330(f332(x53911),f2(x53911)),f189(x53911))) % 242.40/242.47 [5392]~P142(x53921)+P1(f330(f330(f332(x53921),f80(x53921)),f112(x53921))) % 242.40/242.47 [5393]~P147(x53931)+P1(f330(f330(f332(x53931),f80(x53931)),f189(x53931))) % 242.40/242.47 [5394]~P127(x53941)+P1(f330(f330(f239(x53941),f2(x53941)),f80(x53941))) % 242.40/242.47 [5395]~P127(x53951)+P1(f330(f330(f240(x53951),f2(x53951)),f80(x53951))) % 242.40/242.47 [5448]E(x54481,f2(a930))+~P1(f330(f330(f239(a930),x54481),f2(a930))) % 242.40/242.47 [5490]E(f330(a107,x54901),f2(a930))+~P1(f330(f330(f239(a1),x54901),f2(a1))) % 242.40/242.47 [5552]P1(f330(a196,x55521))+~P1(f330(f330(f240(a1),x55521),f2(a1))) % 242.40/242.47 [5559]~P112(x55591)+P19(x55591,f931(x55591),f151(x55591,x55591,f5(x55591))) % 242.40/242.47 [5577]P45(x55771)+~P1(f330(f330(f239(a1),f2(a1)),f335(x55771))) % 242.40/242.47 [5582]E(f330(f77(a1),x55821),f330(f81(a1),x55821))+~P1(f330(f330(f240(a1),x55821),f2(a1))) % 242.40/242.47 [5752]~P127(x57521)+~P1(f330(f330(f239(x57521),f80(x57521)),f2(x57521))) % 242.40/242.47 [5753]~P127(x57531)+~P1(f330(f330(f240(x57531),f80(x57531)),f2(x57531))) % 242.40/242.47 [5767]~E(x57671,f2(a930))+P1(f330(f330(f239(a1),f330(f103(a1),x57671)),f2(a1))) % 242.40/242.47 [5768]~E(x57681,f2(a1))+P1(f330(f330(f240(a1),f330(f77(a1),x57681)),f80(a1))) % 242.40/242.47 [5889]~P85(x58891)+E(f145(x58891,x58891,f82(x58891),f2(x58891)),f168(x58891)) % 242.40/242.47 [6065]~P107(x60651)+P28(a930,x60651,f103(x60651),f246(f937(a930,a925))) % 242.40/242.47 [6267]E(x62671,f2(a930))+~P1(f330(f330(f239(a1),f330(f103(a1),x62671)),f2(a1))) % 242.40/242.47 [6268]E(x62681,f2(a1))+~P1(f330(f330(f240(a1),f330(f77(a1),x62681)),f80(a1))) % 242.40/242.47 [7065]~P1(f330(f330(f240(a1),x70651),f2(a1)))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x70651),x70651)),f2(a1))) % 242.40/242.47 [7622]P1(f330(f330(f240(a1),x76221),f2(a1)))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),x76221),x76221)),f2(a1))) % 242.40/242.47 [8180]E(x81801,f330(a3,f2(a930)))+P1(f330(f330(f240(a930),f330(f330(f23(a930),f330(a20,x81801)),f330(a115,f2(a930)))),f330(a20,x81801))) % 242.40/242.47 [8970]~P1(f330(f330(f240(a1),x89701),f2(a1)))+P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89701),x89701)),a100)),f2(a1))) % 242.40/242.47 [9067]~P1(f330(f330(f240(a1),x90671),f2(a1)))+P1(f330(f330(f240(a1),f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x90671)),x90671)),f2(a1))) % 242.40/242.47 [9395]P1(f330(f330(f240(a1),x93951),f2(a1)))+~P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93951),x93951)),a100)),f2(a1))) % 242.40/242.47 [9463]P1(f330(f330(f240(a1),x94631),f2(a1)))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),f330(f330(f82(a1),f80(a1)),x94631)),x94631)),f2(a1))) % 242.40/242.47 [4919]~E(a85,x49191)+E(f330(f330(f82(a1),x49191),x49191),a85) % 242.40/242.47 [4920]~E(x49201,a85)+E(f330(f330(f82(a1),x49201),x49201),a85) % 242.40/242.47 [4931]E(x49311,f2(a1))+E(f330(f330(f38(a1),x49311),x49311),f80(a1)) % 242.40/242.47 [5065]E(x50651,a85)+~E(f330(f330(f82(a1),x50651),x50651),a85) % 242.40/242.47 [5066]E(a85,x50661)+~E(f330(f330(f82(a1),x50661),x50661),a85) % 242.40/242.47 [5078]~P8(x50781)+E(f40(x50781,f191(f937(x50781,a925))),f246(x50781)) % 242.40/242.47 [5079]~P8(x50791)+E(f40(x50791,f246(f937(x50791,a925))),f191(x50791)) % 242.40/242.47 [5080]~P8(x50801)+E(f39(x50801,f191(f937(x50801,a925))),f191(x50801)) % 242.40/242.47 [5081]~P8(x50811)+E(f39(x50811,f246(f937(x50811,a925))),f246(x50811)) % 242.40/242.47 [5082]~P112(x50821)+E(f142(x50821,f191(f937(x50821,a925))),f116(x50821)) % 242.40/242.47 [5224]E(x52241,f2(a930))+P1(f330(f330(f240(a930),f2(a930)),x52241)) % 242.40/242.47 [5243]~P9(x52431)+P1(f330(f330(f239(a1),f2(a1)),x52431)) % 242.40/242.47 [5277]~E(f330(f106(a930),x52771),f2(a930))+P1(f330(f330(f239(a1),x52771),a85)) % 242.40/242.47 [5282]P45(x52821)+P1(f330(f330(f332(a1),f335(x52821)),x52821)) % 242.40/242.47 [5283]E(x52831,f330(a3,f2(a930)))+P1(f330(f330(f239(a102),f80(a102)),x52831)) % 242.40/242.47 [5323]P1(f330(a196,x53231))+P1(f330(f330(f239(a1),f2(a1)),x53231)) % 242.40/242.47 [5372]E(f330(f103(a1),f330(a107,x53721)),f2(a1))+P1(f330(f330(f239(a1),f2(a1)),x53721)) % 242.40/242.47 [5430]E(f330(f103(a1),f330(f106(a930),x54301)),f330(f106(a1),x54301))+P1(f330(a196,f330(f106(a1),x54301))) % 242.40/242.47 [5454]E(f330(f106(a930),x54541),f2(a930))+~P1(f330(a196,f330(f106(a1),x54541))) % 242.40/242.47 [5455]E(f330(f106(a930),x54551),f2(a930))+~P1(f330(f330(f239(a1),x54551),a85)) % 242.40/242.47 [5487]P9(x54871)+~P1(f330(f330(f239(a1),f2(a1)),x54871)) % 242.40/242.47 [5562]E(f330(a115,f581(x55621)),x55621)+~P1(f330(f330(f240(a930),f2(a930)),x55621)) % 242.40/242.47 [5571]E(f330(a115,f330(f106(a930),x55711)),f80(a930))+~P1(f330(a196,f330(f106(a1),x55711))) % 242.40/242.47 [5578]E(f330(f103(a1),f420(x55781)),x55781)+~P1(f330(f330(f240(a1),f2(a1)),x55781)) % 242.40/242.47 [5585]~E(x55851,f330(a3,f2(a930)))+~P1(f330(f330(f239(a102),f80(a102)),x55851)) % 242.40/242.47 [5592]E(f330(f103(a1),f330(f106(a930),x55921)),f2(a1))+~P1(f330(a196,f330(f106(a1),x55921))) % 242.40/242.47 [5617]E(f330(f168(a930),x56171),f2(a930))+P1(f330(f330(f332(a930),f565(x56171)),f330(f175(a930),x56171))) % 242.40/242.47 [5637]E(f330(f103(a1),f330(a107,x56371)),x56371)+~P1(f330(f330(f239(a1),f2(a1)),x56371)) % 242.40/242.47 [5645]~P1(f330(a196,x56451))+~P1(f330(f330(f239(a1),f2(a1)),x56451)) % 242.40/242.47 [5745]E(f330(f330(f82(a930),f80(a930)),f330(f106(a930),x57451)),f80(a930))+~P1(f330(f330(f240(a1),x57451),a85)) % 242.40/242.47 [5809]E(x58091,f2(a930))+~P1(f330(f330(f240(a930),x58091),f330(a115,f2(a930)))) % 242.40/242.47 [5848]E(f330(f330(f23(a930),f330(f106(a930),x58481)),f80(a930)),f2(a930))+~P1(f330(f330(f239(a1),x58481),a85)) % 242.40/242.47 [5849]E(f330(f330(f82(a930),f330(f106(a930),x58491)),f80(a930)),f80(a930))+~P1(f330(f330(f240(a1),x58491),a85)) % 242.40/242.47 [5861]~P45(x58611)+E(f330(f37(a930),f330(f313(a1,a930,a107),x58611)),f330(f37(a1),x58611)) % 242.40/242.47 [5890]~P112(x58901)+E(f241(x58901,f330(f7(x58901,x58901,a925),f239(x58901))),f238(x58901)) % 242.40/242.47 [5891]~P112(x58911)+E(f242(x58911,f330(f7(x58911,x58911,a925),f239(x58911))),f237(x58911)) % 242.40/242.47 [5901]E(f47(a930,f330(a115,f2(a930)),f330(f106(a930),x59011)),f330(a115,f2(a930)))+~P1(f330(a196,f330(f106(a1),x59011))) % 242.40/242.47 [5910]~P1(f330(f330(f240(a1),f2(a1)),x59101))+P1(f330(f330(f239(a1),f80(a1)),x59101)) % 242.40/242.47 [5911]P1(f330(f330(f240(a1),f2(a1)),x59111))+~P1(f330(f330(f239(a1),f80(a1)),x59111)) % 242.40/242.47 [5922]E(f330(a115,f330(f330(f23(a930),x59221),f80(a930))),x59221)+~P1(f330(f330(f240(a930),f2(a930)),x59221)) % 242.40/242.47 [5978]P1(f330(f330(f240(a930),f2(a930)),f420(x59781)))+~P1(f330(f330(f240(a1),f2(a1)),x59781)) % 242.40/242.47 [6039]E(f47(a1,f330(f106(a1),a100),x60391),f330(f330(f23(a1),x60391),f80(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x60391)) % 242.40/242.47 [6079]~P1(f330(f330(f240(a1),a85),x60791))+P1(f330(f330(f240(a930),f2(a930)),f330(f106(a930),x60791))) % 242.40/242.47 [6084]E(f330(a20,f833(x60841)),x60841)+~P1(f330(f330(f332(a930),x60841),f246(f937(a930,a925)))) % 242.40/242.47 [6133]P1(f330(f330(f240(a930),f2(a930)),f330(a107,x61331)))+~P1(f330(f330(f240(a1),f2(a1)),x61331)) % 242.40/242.47 [6183]~P1(f330(f330(f240(a930),f2(a930)),x61831))+P1(f330(f330(f240(a1),f2(a1)),f330(f103(a1),x61831))) % 242.40/242.47 [6220]~P1(f330(f330(f240(a930),f2(a930)),f330(a107,x62201)))+P1(f330(f330(f240(a1),f2(a1)),x62201)) % 242.40/242.47 [6235]~P45(x62351)+E(f330(f313(a930,a1,f103(a1)),f330(f313(a1,a930,a107),x62351)),x62351) % 242.40/242.47 [6248]P1(f330(f330(f240(a1),a85),x62481))+~P1(f330(f330(f240(a930),f2(a930)),f330(f106(a930),x62481))) % 242.40/242.47 [6306]P1(f330(f330(f240(a930),f2(a930)),x63061))+~P1(f330(f330(f240(a1),f2(a1)),f330(f103(a1),x63061))) % 242.40/242.47 [6420]E(f330(f313(a930,a1,f103(a1)),f330(f286(a930),f330(a107,x64201))),f330(f305(a1,f2(a1)),x64201))+~P1(f330(f330(f239(a1),f2(a1)),x64201)) % 242.40/242.47 [6436]~P127(x64361)+P1(f330(f330(f240(x64361),f2(x64361)),f330(f330(f82(x64361),f80(x64361)),f80(x64361)))) % 242.40/242.47 [6485]P1(f330(f330(f240(a930),f330(a115,f2(a930))),f330(a107,x64851)))+~P1(f330(f330(f240(a1),f80(a1)),x64851)) % 242.40/242.47 [6582]E(x65821,f2(a1))+P1(f330(f51(f2(a1),x65821),f330(f330(f256(a1,a1),f2(a1)),f2(a1)))) % 242.40/242.47 [6754]~P1(f330(f330(f240(a930),f330(a115,f2(a930))),f330(a107,x67541)))+P1(f330(f330(f240(a1),f80(a1)),x67541)) % 242.40/242.47 [7176]~P118(x71761)+P42(x71761,f330(f266(f936(x71761,x71761)),f330(f261(x71761,x71761,a925),f240(x71761)))) % 242.40/242.47 [5796]E(f330(f106(a930),f330(f330(f23(a1),x57961),a100)),f330(a115,f330(f106(a930),x57961)))+P1(f330(a196,f330(f106(a1),x57961))) % 242.40/242.47 [5812]~P41(x58121)+E(f330(f330(f157(a930,a1),f103(a1)),f330(f330(f157(a1,a930),a107),x58121)),x58121) % 242.40/242.47 [5928]E(f330(f81(a1),f330(f103(a1),f330(a115,f421(x59281)))),x59281)+~P1(f330(f330(f240(a1),x59281),f2(a1))) % 242.40/242.47 [5938]E(f330(f330(f82(a930),f80(a930)),f330(f106(a930),x59381)),f330(f106(a930),f330(f330(f23(a1),x59381),a100)))+P1(f330(f330(f240(a1),x59381),a85)) % 242.40/242.47 [5980]E(f330(f330(f38(a1),f330(f106(a1),a100)),x59801),f330(f106(a1),a100))+~P1(f330(f330(f240(a1),f2(a1)),x59801)) % 242.40/242.47 [6075]E(f330(f330(f23(a930),f330(f106(a930),x60751)),f80(a930)),f330(f106(a930),f330(f330(f82(a1),x60751),a100)))+P1(f330(f330(f239(a1),x60751),a85)) % 242.40/242.47 [6076]E(f330(f330(f82(a930),f330(f106(a930),x60761)),f80(a930)),f330(f106(a930),f330(f330(f23(a1),x60761),a100)))+P1(f330(f330(f240(a1),x60761),a85)) % 242.40/242.47 [6120]E(f330(a107,f330(f330(f82(a1),f80(a1)),x61201)),f330(a115,f330(a107,x61201)))+~P1(f330(f330(f239(a1),f2(a1)),x61201)) % 242.40/242.47 [6154]E(f330(a115,f330(f330(f23(a930),x61541),f330(a115,f2(a930)))),x61541)+~P1(f330(f330(f240(a930),f2(a930)),x61541)) % 242.40/242.47 [6371]E(f47(a930,f330(a115,f2(a930)),f330(f106(a930),x63711)),f330(a107,f47(a1,f80(a1),f330(f106(a1),x63711))))+P1(f330(a196,f330(f106(a1),x63711))) % 242.40/242.47 [6413]~P1(f330(f330(f239(a1),a85),x64131))+P1(f330(f330(f239(a1),a85),f330(f330(f82(a1),x64131),x64131))) % 242.40/242.47 [6414]~P1(f330(f330(f240(a1),a100),x64141))+P1(f330(f330(f239(a1),a100),f330(f330(f82(a1),x64141),x64141))) % 242.40/242.47 [6415]~P1(f330(f330(f240(a1),a85),x64151))+P1(f330(f330(f240(a1),a85),f330(f330(f82(a1),x64151),x64151))) % 242.40/242.47 [6416]~P1(f330(f330(f240(a1),a100),x64161))+P1(f330(f330(f240(a1),a100),f330(f330(f82(a1),x64161),x64161))) % 242.40/242.47 [6595]~P1(f330(f63(x65951),f246(f937(x65951,a925))))+P1(f330(f63(f934(x65951)),f246(f937(f934(x65951),a925)))) % 242.40/242.47 [6684]~P1(f330(f330(f239(a1),f2(a1)),x66841))+P1(f330(f330(f240(a1),f2(a1)),f330(f330(f82(a1),f80(a1)),x66841))) % 242.40/242.47 [6691]E(f330(f255(a1,a1),f49(f80(a1),f330(f106(a1),x66911))),f330(f330(f38(a1),f80(a1)),f330(f106(a1),x66911)))+~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x66911))) % 242.40/242.47 [6711]E(f330(f260(a1,a1),f49(f80(a1),f330(f106(a1),x67111))),f47(a1,f80(a1),f330(f106(a1),x67111)))+~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x67111))) % 242.40/242.47 [6723]P1(f330(f63(x67231),f246(f937(x67231,a925))))+~P1(f330(f63(f934(x67231)),f246(f937(f934(x67231),a925)))) % 242.40/242.47 [6755]P1(f330(f330(f239(a1),a85),x67551))+~P1(f330(f330(f239(a1),a85),f330(f330(f82(a1),x67551),x67551))) % 242.40/242.47 [6756]P1(f330(f330(f240(a1),a85),x67561))+~P1(f330(f330(f240(a1),a85),f330(f330(f82(a1),x67561),x67561))) % 242.40/242.47 [6757]P1(f330(f330(f240(a1),a100),x67571))+~P1(f330(f330(f239(a1),a100),f330(f330(f82(a1),x67571),x67571))) % 242.40/242.47 [6758]P1(f330(f330(f240(a1),a100),x67581))+~P1(f330(f330(f240(a1),a100),f330(f330(f82(a1),x67581),x67581))) % 242.40/242.47 [7069]~P1(f330(f63(x70691),f246(f937(x70691,a925))))+P1(f330(f330(f240(a930),f2(a930)),f330(f37(x70691),f246(f937(x70691,a925))))) % 242.40/242.47 [7664]P1(f330(f63(a930),x76641))+~P1(f330(f63(a1),f330(f313(a930,a1,f103(a1)),x76641))) % 242.40/242.47 [5720]~E(a100,x57201)+E(f330(f330(f23(a1),f330(f330(f82(a1),x57201),x57201)),a100),a100) % 242.40/242.47 [5721]~E(x57211,a100)+E(f330(f330(f23(a1),f330(f330(f82(a1),x57211),x57211)),a100),a100) % 242.40/242.47 [6243]E(x62431,a100)+~E(f330(f330(f23(a1),f330(f330(f82(a1),x62431),x62431)),a100),a100) % 242.40/242.47 [6244]E(a100,x62441)+~E(f330(f330(f23(a1),f330(f330(f82(a1),x62441),x62441)),a100),a100) % 242.40/242.47 [6651]~E(f330(f106(a930),x66511),f2(a930))+P1(f330(a196,f330(f106(a1),f330(f330(f82(a1),x66511),a100)))) % 242.40/242.47 [6999]~P1(f330(a196,f330(f106(a1),x69991)))+P1(f330(a196,f330(f106(a1),f330(f330(f82(a1),x69991),x69991)))) % 242.40/242.47 [7000]~P1(f330(f330(f239(a1),x70001),a85))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x70001),x70001)),a85)) % 242.40/242.47 [7001]~P1(f330(f330(f239(a1),x70011),a100))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x70011),x70011)),a100)) % 242.40/242.47 [7002]~P1(f330(f330(f240(a1),x70021),a85))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x70021),x70021)),a85)) % 242.40/242.47 [7003]~P1(f330(f330(f239(a1),x70031),a100))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x70031),x70031)),a100)) % 242.40/242.47 [7321]E(f330(f106(a930),x73211),f2(a930))+~P1(f330(a196,f330(f106(a1),f330(f330(f82(a1),x73211),a100)))) % 242.40/242.47 [7576]~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x75761)))+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),f330(f330(f82(a1),x75761),x75761)))) % 242.40/242.47 [7577]P1(f330(a196,f330(f106(a1),x75771)))+~P1(f330(a196,f330(f106(a1),f330(f330(f82(a1),x75771),x75771)))) % 242.40/242.47 [7578]P1(f330(f330(f239(a1),x75781),a85))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x75781),x75781)),a85)) % 242.40/242.47 [7579]P1(f330(f330(f239(a1),x75791),a100))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x75791),x75791)),a100)) % 242.40/242.47 [7580]P1(f330(f330(f239(a1),x75801),a100))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),x75801),x75801)),a100)) % 242.40/242.47 [7581]P1(f330(f330(f240(a1),x75811),a85))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),x75811),x75811)),a85)) % 242.40/242.47 [7944]E(f330(a110,f559(x79441)),x79441)+~P1(f330(f330(f332(f937(f936(a930,a930),a925)),x79441),a101)) % 242.40/242.47 [6569]~P98(x65691)+E(f330(f106(x65691),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f80(x65691)) % 242.40/242.47 [7049]~P1(f330(a196,f330(f106(a1),x70491)))+E(f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),x70491),x70491)),a100)),f2(a930)) % 242.40/242.47 [8125]~P1(f330(f330(f240(a1),f330(f106(a1),x81251)),f2(a1)))+E(f330(f255(a1,a1),f330(a53,f52(f330(f81(a1),f80(a1)),f330(f81(a1),f330(f106(a1),x81251))))),f330(f330(f38(a1),f80(a1)),f330(f106(a1),x81251))) % 242.40/242.47 [8138]~P1(f330(f330(f240(a1),f330(f106(a1),x81381)),f2(a1)))+E(f330(f260(a1,a1),f330(a53,f52(f330(f81(a1),f80(a1)),f330(f81(a1),f330(f106(a1),x81381))))),f47(a1,f80(a1),f330(f106(a1),x81381))) % 242.40/242.47 [8187]~P1(f330(f330(f239(a1),a85),x81871))+P1(f330(f330(f239(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x81871),x81871)),a100))) % 242.40/242.47 [8188]~P1(f330(f330(f239(a1),a100),x81881))+P1(f330(f330(f239(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x81881),x81881)),a100))) % 242.40/242.47 [8189]~P1(f330(f330(f239(a1),a85),x81891))+P1(f330(f330(f240(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x81891),x81891)),a100))) % 242.40/242.47 [8190]~P1(f330(f330(f240(a1),a100),x81901))+P1(f330(f330(f240(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x81901),x81901)),a100))) % 242.40/242.47 [8498]~P98(x84981)+~P33(x84981,f330(f106(x84981),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 242.40/242.47 [8686]P1(f330(f330(f239(a1),a85),x86861))+~P1(f330(f330(f239(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x86861),x86861)),a100))) % 242.40/242.47 [8687]P1(f330(f330(f239(a1),a85),x86871))+~P1(f330(f330(f240(a1),a85),f330(f330(f23(a1),f330(f330(f82(a1),x86871),x86871)),a100))) % 242.40/242.47 [8688]P1(f330(f330(f239(a1),a100),x86881))+~P1(f330(f330(f239(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x86881),x86881)),a100))) % 242.40/242.47 [8689]P1(f330(f330(f240(a1),a100),x86891))+~P1(f330(f330(f240(a1),a100),f330(f330(f23(a1),f330(f330(f82(a1),x86891),x86891)),a100))) % 242.40/242.47 [9017]E(f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),x90171),x90171)),a100)),f330(f330(f88(a930,a930),f330(f106(a930),x90171)),f330(f330(f8(a930,a930,a930),a115),f330(f330(f18(a930,a930,a930),f82(a930)),f5(a930)))))+P1(f330(a196,f330(f106(a1),x90171))) % 242.40/242.47 [9884]E(x98841,f191(f937(f936(a930,a930),a925)))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x98841),f191(f937(f936(a930,a930),a925)))),a35)) % 242.40/242.47 [8944]~P1(f330(a196,f330(f106(a1),x89441)))+P1(f330(a196,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89441),x89441)),a100)))) % 242.40/242.47 [8945]~P1(f330(f330(f240(a1),x89451),a85))+P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89451),x89451)),a100)),a85)) % 242.40/242.47 [8946]~P1(f330(f330(f239(a1),x89461),a100))+P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89461),x89461)),a100)),a100)) % 242.40/242.47 [8947]~P1(f330(f330(f240(a1),x89471),a85))+P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89471),x89471)),a100)),a85)) % 242.40/242.47 [8948]~P1(f330(f330(f240(a1),x89481),a100))+P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x89481),x89481)),a100)),a100)) % 242.40/242.47 [9058]~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x90581)))+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x90581),x90581)),a100)))) % 242.40/242.47 [9223]~P98(x92231)+E(f330(f330(f82(x92231),f80(x92231)),f80(x92231)),f330(f106(x92231),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 242.40/242.47 [9379]P1(f330(a196,f330(f106(a1),x93791)))+~P1(f330(a196,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93791),x93791)),a100)))) % 242.40/242.47 [9380]P1(f330(f330(f239(a1),x93801),a100))+~P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93801),x93801)),a100)),a100)) % 242.40/242.47 [9381]P1(f330(f330(f240(a1),x93811),a85))+~P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93811),x93811)),a100)),a85)) % 242.40/242.47 [9382]P1(f330(f330(f240(a1),x93821),a85))+~P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93821),x93821)),a100)),a85)) % 242.40/242.47 [9383]P1(f330(f330(f240(a1),x93831),a100))+~P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93831),x93831)),a100)),a100)) % 242.40/242.47 [9929]~P1(f330(f63(f936(a930,a930)),x99291))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),f191(f937(f936(a930,a930),a925))),x99291)),a71)) % 242.40/242.47 [9713]~P147(x97131)+E(f330(f330(f248(x97131),f2(x97131)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(x97131)) % 242.40/242.47 [9714]~P147(x97141)+E(f330(f330(f248(x97141),f80(x97141)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x97141)) % 242.40/242.47 [10152]~P1(f330(f330(f240(a930),f80(a930)),x101521))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f38(a930),x101521),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.47 [10158]~P1(f330(f330(f240(a930),f2(a930)),x101581))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f38(a930),f330(f330(f82(a930),x101581),f80(a930))),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.47 [10197]~E(f47(a930,x101971,f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(a930))+P1(f330(f330(f240(a930),f2(a930)),f47(a930,x101971,f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.47 [10216]E(f47(a930,x102161,f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(a930))+~P1(f330(f330(f240(a930),f2(a930)),f47(a930,x102161,f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.47 [4846]~P10(x48461,x48462)+P49(x48461,x48462) % 242.40/242.47 [4847]~P42(x48471,x48472)+P64(x48471,x48472) % 242.40/242.47 [4848]~P50(x48481,x48482)+P64(x48481,x48482) % 242.40/242.47 [4850]~P10(x48501,x48502)+P56(x48501,x48502) % 242.40/242.47 [4852]~P18(x48521,x48522)+P56(x48521,x48522) % 242.40/242.47 [4854]~P10(x48541,x48542)+P57(x48541,x48542) % 242.40/242.47 [4856]~P18(x48561,x48562)+P57(x48561,x48562) % 242.40/242.47 [4857]~P10(x48571,x48572)+P18(x48571,x48572) % 242.40/242.47 [4807]~E(x48071,x48072)+E(f273(x48071,x48072),f80(a102)) % 242.40/242.47 [4810]E(f220(x48101,x48102),x48101)+~E(x48102,f2(a930)) % 242.40/242.47 [4817]~E(x48172,f116(x48171))+E(f155(x48171,x48172),f116(x48171)) % 242.40/242.47 [4836]~E(f155(x48362,x48361),f116(x48362))+E(x48361,f116(x48362)) % 242.40/242.47 [4861]~P2(x48612)+P2(f937(x48611,x48612)) % 242.40/242.47 [4862]~P104(x48622)+P104(f937(x48621,x48622)) % 242.40/242.47 [4863]~P2(x48632)+P105(f937(x48631,x48632)) % 242.40/242.47 [4864]~P101(x48642)+P3(f937(x48641,x48642)) % 242.40/242.47 [4865]~P4(x48652)+P4(f937(x48651,x48652)) % 242.40/242.47 [4866]~P110(x48662)+P110(f937(x48661,x48662)) % 242.40/242.47 [4867]~P111(x48672)+P111(f937(x48671,x48672)) % 242.40/242.47 [4868]~P113(x48682)+P113(f937(x48681,x48682)) % 242.40/242.47 [4869]~P2(x48692)+P106(f937(x48691,x48692)) % 242.40/242.47 [4870]~P101(x48702)+P102(f937(x48701,x48702)) % 242.40/242.47 [4871]~P114(x48712)+P114(f937(x48711,x48712)) % 242.40/242.47 [4872]~P103(x48722)+P103(f937(x48721,x48722)) % 242.40/242.47 [4873]~P96(x48732)+P96(f937(x48731,x48732)) % 242.40/242.47 [4874]~P88(x48742)+P88(f937(x48741,x48742)) % 242.40/242.47 [4875]~P8(x48752)+P8(f937(x48751,x48752)) % 242.40/242.47 [4876]~P101(x48762)+P101(f937(x48761,x48762)) % 242.40/242.47 [4888]E(x48881,x48882)+~E(f330(a26,x48881),f330(a26,x48882)) % 242.40/242.47 [4890]E(x48901,x48902)+~E(f330(a115,x48901),f330(a115,x48902)) % 242.40/242.47 [4891]E(x48911,x48912)+~E(f330(a110,x48911),f330(a110,x48912)) % 242.40/242.47 [4892]E(x48921,x48922)+~E(f330(a3,x48921),f330(a3,x48922)) % 242.40/242.47 [4894]E(x48941,x48942)+~E(f330(a20,x48941),f330(a20,x48942)) % 242.40/242.47 [4947]P44(x49471,x49472)+~E(f726(x49472,x49471),f727(x49472,x49471)) % 242.40/242.47 [4977]~P64(x49771,x49772)+P44(x49771,f310(x49771,x49772)) % 242.40/242.47 [4978]~P58(x49781,x49782)+P58(x49781,f310(x49781,x49782)) % 242.40/242.47 [4991]~P67(x49911)+E(f47(x49911,x49912,x49912),f2(x49911)) % 242.40/242.47 [5025]~P42(x50251,x50252)+P42(f931(x50251),f149(x50251,x50252)) % 242.40/242.47 [5026]~P42(x50261,x50262)+P42(f931(x50261),f148(x50261,x50262)) % 242.40/242.47 [5027]~P43(x50271,x50272)+P43(f931(x50271),f150(x50271,x50272)) % 242.40/242.47 [5028]~P43(x50281,x50282)+P43(f931(x50281),f161(x50281,x50282)) % 242.40/242.47 [5029]~P58(x50291,x50292)+P58(f931(x50291),f161(x50291,x50292)) % 242.40/242.47 [5126]~P42(x51261,x51262)+P42(f937(x51261,a925),f321(x51261,x51262)) % 242.40/242.47 [5127]~P42(x51271,x51272)+P42(f937(x51271,a925),f322(x51271,x51272)) % 242.40/242.47 [5252]~P9(x52521)+P45(f306(a1,x52521,x52522)) % 242.40/242.47 [5353]~P42(x53531,x53532)+P66(x53531,f69(x53531,x53531,x53532)) % 242.40/242.47 [5855]~P83(x58551)+P28(x58551,x58551,f81(x58551),x58552) % 242.40/242.47 [4831]~E(x48312,f116(x48311))+E(f330(f170(x48311),x48312),f116(x48311)) % 242.40/242.47 [4832]~E(x48322,f116(x48321))+E(f330(f171(x48321),x48322),f116(x48321)) % 242.40/242.47 [4896]E(x48961,f330(a107,x48962))+~E(f330(f103(a1),x48961),x48962) % 242.40/242.47 [4899]E(x48991,f116(x48992))+~E(f330(f170(x48992),x48991),f116(x48992)) % 242.40/242.47 [4900]E(x49001,f116(x49002))+~E(f330(f171(x49002),x49001),f116(x49002)) % 242.40/242.47 [4916]~P98(x49161)+E(f330(f106(x49161),x49162),f330(f105(x49161),x49162)) % 242.40/242.47 [4924]~P7(x49241)+P1(f330(f63(x49241),x49242)) % 242.40/242.47 [4932]~E(f686(x49322,x49321),f116(x49321))+E(f182(x49321,x49322),f116(f931(x49321))) % 242.40/242.47 [4941]~E(x49412,f116(x49411))+E(f330(f175(x49411),x49412),f191(f937(x49411,a925))) % 242.40/242.47 [4942]~E(x49422,f116(x49421))+E(f191(f937(x49421,a925)),f330(f175(x49421),x49422)) % 242.40/242.47 [4944]E(x49441,x49442)+~E(f330(f103(a1),x49441),f330(f103(a1),x49442)) % 242.40/242.47 [4948]E(f218(x49481,x49482),f2(a930))+P1(f330(f63(x49481),x49482)) % 242.40/242.47 [4966]~P115(x49661)+E(f84(x49661,f84(x49661,x49662)),f84(x49661,x49662)) % 242.40/242.47 [4980]~P119(x49801)+E(f330(f330(f248(x49801),x49802),f80(a930)),x49802) % 242.40/242.47 [4981]~P86(x49811)+E(f330(f330(f248(x49811),x49812),f80(a930)),x49812) % 242.40/242.47 [4982]~P58(x49821,x49822)+E(f330(f290(x49821,x49821),x49822),x49822) % 242.40/242.47 [4986]E(x49861,x49862)+E(f273(x49861,x49862),f330(f330(f82(a102),x49862),f80(a102))) % 242.40/242.47 [4989]E(f330(f37(x49891),x49892),f2(a930))+P1(f330(f63(x49891),x49892)) % 242.40/242.47 [4992]~E(f155(x49921,x49922),x49922)+P1(f330(f140(x49921),x49922)) % 242.40/242.47 [4995]~P3(x49951)+E(f330(f330(f113(x49951),x49952),f191(x49951)),x49952) % 242.40/242.47 [4996]~P5(x49961)+E(f330(f330(f23(x49961),x49962),f2(x49961)),x49962) % 242.40/242.47 [4997]~P102(x49971)+E(f330(f330(f104(x49971),x49972),f246(x49971)),x49972) % 242.40/242.47 [4998]~P74(x49981)+E(f330(f330(f82(x49981),x49982),f2(x49981)),x49982) % 242.40/242.47 [4999]~P85(x49991)+E(f330(f330(f82(x49991),x49992),f2(x49991)),x49992) % 242.40/242.47 [5000]~P119(x50001)+E(f330(f330(f82(x50001),x50002),f2(x50001)),x50002) % 242.40/242.47 [5001]~P119(x50011)+E(f330(f330(f83(x50011),x50012),f80(x50011)),x50012) % 242.40/242.47 [5002]~P80(x50021)+E(f330(f330(f83(x50021),x50022),f80(x50021)),x50022) % 242.40/242.47 [5003]~P86(x50031)+E(f330(f330(f83(x50031),x50032),f80(x50031)),x50032) % 242.40/242.47 [5004]~P122(x50041)+E(f330(f330(f293(x50041),x50042),f80(x50041)),x50042) % 242.40/242.47 [5005]~P67(x50051)+E(f330(f330(f38(x50051),x50052),f80(x50051)),x50052) % 242.40/242.47 [5006]~P119(x50061)+E(f330(f330(f248(x50061),x50062),f2(a930)),f80(x50061)) % 242.40/242.47 [5007]~P117(x50071)+E(f330(f330(f248(x50071),x50072),f2(a930)),f80(x50071)) % 242.40/242.47 [5008]~E(x50082,f191(f937(x50081,a925)))+E(f330(f37(x50081),x50082),f2(a930)) % 242.40/242.47 [5019]~P67(x50191)+E(f47(x50191,x50192,f2(x50191)),x50192) % 242.40/242.47 [5030]~P102(x50301)+E(f330(f330(f113(x50301),x50302),f246(x50301)),f246(x50301)) % 242.40/242.47 [5031]~P3(x50311)+E(f330(f330(f104(x50311),x50312),f191(x50311)),f191(x50311)) % 242.40/242.47 [5032]~P119(x50321)+E(f330(f330(f83(x50321),x50322),f2(x50321)),f2(x50321)) % 242.40/242.47 [5033]~P130(x50331)+E(f330(f330(f83(x50331),x50332),f2(x50331)),f2(x50331)) % 242.40/242.47 [5034]~P123(x50341)+E(f330(f330(f293(x50341),x50342),f2(x50341)),f2(x50341)) % 242.40/242.47 [5035]~P67(x50351)+E(f330(f330(f38(x50351),x50352),f2(x50351)),f2(x50351)) % 242.40/242.47 [5037]~P67(x50371)+E(f47(x50371,x50372,f80(x50371)),f2(x50371)) % 242.40/242.47 [5038]~P67(x50381)+E(f47(x50381,f2(x50381),x50382),f2(x50381)) % 242.40/242.47 [5067]E(x50671,f2(a930))+E(f57(x50672,x50671,f116(x50672)),f116(f931(x50672))) % 242.40/242.47 [5090]P58(x50901,x50902)+~E(f330(f290(x50901,x50901),x50902),x50902) % 242.40/242.47 [5091]P42(x50911,x50912)+~E(f566(x50912,x50911),f191(f937(x50911,a925))) % 242.40/242.47 [5092]E(x50921,f116(x50922))+~E(f330(f175(x50922),x50921),f191(f937(x50922,a925))) % 242.40/242.47 [5093]E(x50931,f116(x50932))+~E(f191(f937(x50932,a925)),f330(f175(x50932),x50931)) % 242.40/242.47 [5096]~E(x50961,x50962)+P1(f330(f330(a327,x50961),x50962)) % 242.40/242.47 [5106]P1(x51061)+P1(f330(f330(a333,x51061),x51062)) % 242.40/242.47 [5107]E(x51071,f116(x51072))+E(f330(f330(f167(x51072),x51071),f2(a930)),f330(f144(x51072),x51071)) % 242.40/242.47 [5110]E(f155(x51101,x51102),x51102)+~P1(f330(f140(x51101),x51102)) % 242.40/242.47 [5117]~P1(x51172)+P1(f330(f330(a333,x51171),x51172)) % 242.40/242.47 [5118]~P1(x51182)+P1(f330(f330(a329,x51181),x51182)) % 242.40/242.47 [5119]~P1(x51191)+P1(f330(f330(a329,x51191),x51192)) % 242.40/242.47 [5129]~E(f687(x51292,x51291),f692(x51292,x51291))+P1(f330(f140(x51291),x51292)) % 242.40/242.47 [5136]E(f330(f266(x51361),x51362),f191(f937(x51361,a925)))+P1(f330(x51362,f745(x51362))) % 242.40/242.47 [5137]E(f191(f937(x51371,a925)),f330(f266(x51371),x51372))+P1(f330(x51372,f746(x51372))) % 242.40/242.47 [5206]~P115(x52061)+E(f330(f330(f83(x52061),x52062),f84(x52061,x52062)),f330(f77(x52061),x52062)) % 242.40/242.47 [5217]~E(x52171,f2(a1))+E(f48(x52171,x52172),f330(f330(f256(a1,a1),f2(a1)),f2(a1))) % 242.40/242.47 [5248]~P64(x52481,x52482)+P64(x52481,f330(f290(x52481,x52481),x52482)) % 242.40/242.47 [5249]~P43(x52491,x52492)+P43(x52491,f330(f290(x52491,x52491),x52492)) % 242.40/242.47 [5250]~P44(x52501,x52502)+P44(x52501,f330(f290(x52501,x52501),x52502)) % 242.40/242.47 [5251]~P58(x52511,x52512)+P58(x52511,f330(f290(x52511,x52511),x52512)) % 242.40/242.47 [5273]E(x52731,x52732)+~P1(f330(f330(a327,x52731),x52732)) % 242.40/242.47 [5284]P1(x52841)+~P1(f330(f330(a328,x52842),x52841)) % 242.40/242.47 [5285]P1(x52851)+~P1(f330(f330(a328,x52851),x52852)) % 242.40/242.47 [5290]~P114(x52901)+P1(f330(f330(f239(x52901),x52902),f246(x52901))) % 242.40/242.47 [5294]E(x52941,x52942)+~E(f330(x52941,f419(x52942,x52941)),f330(x52942,f419(x52942,x52941))) % 242.40/242.47 [5325]E(x53251,f2(a930))+E(f220(x53251,f47(a930,x53252,x53251)),f220(x53252,x53251)) % 242.40/242.47 [5330]~P112(x53301)+P16(x53301,f330(f330(f154(x53301),x53302),f116(x53301))) % 242.40/242.47 [5332]E(x53321,f2(a1))+P1(f330(f51(x53322,x53321),f48(x53322,x53321))) % 242.40/242.47 [5348]~P18(x53482,x53481)+P1(f330(f330(x53481,f824(x53481)),f824(x53481))) % 242.40/242.47 [5351]~E(x53511,x53512)+P1(f330(f330(f240(a930),x53511),f330(a115,x53512))) % 242.40/242.47 [5361]~E(x53611,f2(a930))+P1(f330(f330(f240(a930),x53611),f330(a115,x53612))) % 242.40/242.47 [5371]P1(f330(x53711,x53712))+P1(f330(f330(f239(a1),f2(a1)),f415(x53711))) % 242.40/242.47 [5435]P64(x54351,x54352)+~P64(x54351,f330(f290(x54351,x54351),x54352)) % 242.40/242.47 [5436]P43(x54361,x54362)+~P43(x54361,f330(f290(x54361,x54361),x54362)) % 242.40/242.47 [5437]P44(x54371,x54372)+~P44(x54371,f330(f290(x54371,x54371),x54372)) % 242.40/242.47 [5438]P58(x54381,x54382)+~P58(x54381,f330(f290(x54381,x54381),x54382)) % 242.40/242.47 [5441]~E(f47(a930,x54412,x54411),f2(a930))+E(f330(f330(f83(a930),x54411),f446(x54411,x54412)),x54412) % 242.40/242.47 [5442]~E(f47(a1,x54422,x54421),f2(a1))+E(f330(f330(f83(a1),x54421),f447(x54421,x54422)),x54422) % 242.40/242.47 [5468]~P1(f330(x54681,x54682))+P1(f330(f330(f239(a1),f2(a1)),f336(x54681))) % 242.40/242.47 [5479]E(f330(f330(f23(a930),f330(a107,x54791)),f330(a107,x54792)),f330(a107,x54791))+~P1(f330(a196,x54792)) % 242.40/242.47 [5508]E(f276(x55081,x55082),f80(a102))+~P1(f330(f330(f239(a102),x55081),f80(a102))) % 242.40/242.47 [5603]E(f330(f330(f167(x56031),x56032),f687(x56032,x56031)),f330(f330(f167(x56031),x56032),f692(x56032,x56031)))+P1(f330(f140(x56031),x56032)) % 242.40/242.47 [5646]~P1(f330(x56461,f92(x56462,x56461)))+P1(f330(x56461,f582(x56462,x56461))) % 242.40/242.47 [5710]P66(x57101,x57102)+~P1(f330(f318(x57101,x57102),f530(x57102,x57101))) % 242.40/242.47 [5852]~P18(x58522,x58521)+P1(f330(f330(x58521,f825(x58521,x58522)),f825(x58521,x58522))) % 242.40/242.47 [5853]~P18(x58532,x58531)+P1(f330(f330(x58531,f829(x58531,x58532)),f829(x58531,x58532))) % 242.40/242.47 [5862]~E(f330(a115,f47(a930,x58621,x58622)),x58622)+E(f47(a930,f330(a115,x58621),x58622),f2(a930)) % 242.40/242.47 [5917]P42(x59171,x59172)+P1(f330(f330(f332(x59171),f646(x59172,x59171)),f647(x59172,x59171))) % 242.40/242.47 [5924]~P142(x59241)+P1(f330(f330(f332(x59241),f330(f103(x59241),x59242)),f112(x59241))) % 242.40/242.47 [5925]~P147(x59251)+P1(f330(f330(f332(x59251),f330(f103(x59251),x59252)),f189(x59251))) % 242.40/242.47 [5926]~P142(x59261)+P1(f330(f330(f332(x59261),f330(f105(x59261),x59262)),f112(x59261))) % 242.40/242.47 [5927]~P98(x59271)+P1(f330(f330(f332(x59271),f330(f106(x59271),x59272)),f112(x59271))) % 242.40/242.47 [6061]~P43(x60611,x60612)+E(f330(f330(f292(x60611,x60611,x60611),x60612),f310(x60611,x60612)),x60612) % 242.40/242.47 [6078]E(f330(a115,f47(a930,x60781,x60782)),x60782)+E(f47(a930,f330(a115,x60781),x60782),f330(a115,f47(a930,x60781,x60782))) % 242.40/242.47 [6497]P42(x64971,x64972)+~P1(f330(f330(f332(x64971),f531(x64972,x64971)),f319(x64971,x64972))) % 242.40/242.47 [6534]~P127(x65341)+~P1(f330(f330(f240(x65341),f330(f103(x65341),x65342)),f2(x65341))) % 242.40/242.47 [6535]~P91(x65351)+~P1(f330(f330(f240(x65351),f330(f77(x65351),x65352)),f2(x65351))) % 242.40/242.47 [6623]P1(f330(f330(f240(a1),x66231),f47(a1,x66232,x66231)))+~P1(f330(f330(f240(a1),x66231),f2(a1))) % 242.40/242.47 [6725]E(f330(f330(f312(a930),f330(a115,x67251)),f306(a930,x67252,x67251)),f306(a930,x67252,f330(a115,x67251)))+~P1(f330(f330(f239(a930),x67252),f330(a115,x67251))) % 242.40/242.47 [6817]~P112(x68171)+P16(x68171,f153(x68171,x68171,f5(x68171),x68172)) % 242.40/242.47 [6944]E(f330(f170(x69441),x69442),x69442)+~P1(f330(f330(f239(a930),f330(f192(f931(x69441)),x69442)),f80(a930))) % 242.40/242.47 [6963]~P91(x69631)+P1(f330(f330(f239(x69631),f330(f81(x69631),f330(f77(x69631),x69632))),f2(x69631))) % 242.40/242.47 [6995]~P42(x69951,x69952)+P42(x69951,f330(f330(f292(x69951,x69951,x69951),x69952),f310(x69951,x69952))) % 242.40/242.47 [6996]~P58(x69961,x69962)+P58(x69961,f330(f330(f292(x69961,x69961,x69961),x69962),f310(x69961,x69962))) % 242.40/242.47 [7216]~P1(f330(f330(f240(a1),x72162),f2(a1)))+P1(f330(f330(f239(a1),f47(a1,x72161,x72162)),f2(a1))) % 242.40/242.47 [7619]~P147(x76191)+E(f193(x76191,f330(f330(f7(x76191,x76191,x76191),f82(x76191)),f80(x76191)),x76192,f2(x76191)),f330(f103(x76191),x76192)) % 242.40/242.47 [7650]~P128(x76501)+~P1(f330(f330(f240(x76501),f330(f330(f83(x76501),x76502),x76502)),f2(x76501))) % 242.40/242.47 [10303]~P115(x103031)+~P1(f330(f330(f240(x103031),f330(f330(f248(x103031),x103032),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x103031))) % 242.40/242.47 [4897]~E(x48972,f116(x48971))+E(f330(f192(f931(x48971)),x48972),f2(a930)) % 242.40/242.47 [4933]~E(x49331,f2(a930))+E(f330(f330(f82(a930),x49331),x49332),x49332) % 242.40/242.47 [4934]~E(x49342,f2(a930))+E(f330(f330(f83(a930),x49341),x49342),f2(a930)) % 242.40/242.47 [4936]~E(x49361,f2(a930))+E(f330(f330(f83(a930),x49361),x49362),f2(a930)) % 242.40/242.47 [4937]~E(x49372,f2(a930))+E(f330(f330(f248(a930),x49371),x49372),f80(a930)) % 242.40/242.47 [4938]~E(x49382,f2(a1))+E(f330(f330(f38(a1),x49381),x49382),f2(a1)) % 242.40/242.47 [4949]E(x49491,f116(x49492))+~E(f330(f192(f931(x49492)),x49491),f2(a930)) % 242.40/242.47 [4950]~P2(x49501)+E(f330(f330(f113(x49501),x49502),x49502),x49502) % 242.40/242.47 [4952]~P105(x49521)+E(f330(f330(f113(x49521),x49522),x49522),x49522) % 242.40/242.47 [4953]~P2(x49531)+E(f330(f330(f104(x49531),x49532),x49532),x49532) % 242.40/242.47 [4955]~P106(x49551)+E(f330(f330(f104(x49551),x49552),x49552),x49552) % 242.40/242.47 [4957]~P112(x49571)+E(f330(f330(f237(x49571),x49572),x49572),x49572) % 242.40/242.47 [4959]~P112(x49591)+E(f330(f330(f238(x49591),x49592),x49592),x49592) % 242.40/242.47 [4961]~P100(x49611)+E(f330(f330(f83(x49611),x49612),x49612),x49612) % 242.40/242.47 [4979]~P5(x49791)+E(f330(f330(f23(x49791),x49792),x49792),f2(x49791)) % 242.40/242.47 [4993]~P5(x49931)+E(f330(f81(x49931),f330(f81(x49931),x49932)),x49932) % 242.40/242.47 [4994]~P96(x49941)+E(f330(f81(x49941),f330(f81(x49941),x49942)),x49942) % 242.40/242.47 [5011]~E(x50112,f2(a930))+E(f330(f330(f248(a930),x50111),x50112),f330(a115,f2(a930))) % 242.40/242.47 [5046]~P3(x50461)+E(f330(f330(f113(x50461),f191(x50461)),x50462),x50462) % 242.40/242.47 [5047]~P102(x50471)+E(f330(f330(f104(x50471),f246(x50471)),x50472),x50472) % 242.40/242.47 [5048]~P74(x50481)+E(f330(f330(f82(x50481),f2(x50481)),x50482),x50482) % 242.40/242.47 [5049]~P85(x50491)+E(f330(f330(f82(x50491),f2(x50491)),x50492),x50492) % 242.40/242.47 [5050]~P119(x50501)+E(f330(f330(f82(x50501),f2(x50501)),x50502),x50502) % 242.40/242.47 [5051]~P119(x50511)+E(f330(f330(f83(x50511),f80(x50511)),x50512),x50512) % 242.40/242.47 [5052]~P80(x50521)+E(f330(f330(f83(x50521),f80(x50521)),x50522),x50522) % 242.40/242.47 [5053]~P86(x50531)+E(f330(f330(f83(x50531),f80(x50531)),x50532),x50532) % 242.40/242.47 [5071]~P102(x50711)+E(f330(f330(f113(x50711),f246(x50711)),x50712),f246(x50711)) % 242.40/242.47 [5072]~P3(x50721)+E(f330(f330(f104(x50721),f191(x50721)),x50722),f191(x50721)) % 242.40/242.47 [5073]~P119(x50731)+E(f330(f330(f83(x50731),f2(x50731)),x50732),f2(x50731)) % 242.40/242.47 [5074]~P130(x50741)+E(f330(f330(f83(x50741),f2(x50741)),x50742),f2(x50741)) % 242.40/242.47 [5075]~P86(x50751)+E(f330(f330(f248(x50751),f80(x50751)),x50752),f80(x50751)) % 242.40/242.47 [5076]~P122(x50761)+E(f330(f330(f293(x50761),f2(x50761)),x50762),f2(x50761)) % 242.40/242.47 [5077]~P67(x50771)+E(f330(f330(f38(x50771),f2(x50771)),x50772),f2(x50771)) % 242.40/242.47 [5085]E(x50851,f116(x50852))+E(f147(x50852,f330(f171(x50852),x50851)),f330(f144(x50852),x50851)) % 242.40/242.47 [5086]E(x50861,f116(x50862))+E(f330(f144(x50862),f330(f171(x50862),x50861)),f147(x50862,x50861)) % 242.40/242.47 [5087]E(x50871,f2(a930))+~E(f330(f330(f82(a930),x50872),x50871),x50872) % 242.40/242.47 [5094]~P142(x50941)+E(f330(f105(x50941),f330(f103(a1),x50942)),f330(f103(x50941),x50942)) % 242.40/242.47 [5095]~P98(x50951)+E(f330(f105(x50951),f330(f106(a1),x50952)),f330(f106(x50951),x50952)) % 242.40/242.47 [5102]E(x51021,f2(a930))+~E(f330(f330(f82(a930),x51022),x51021),f2(a930)) % 242.40/242.47 [5103]E(x51031,f2(a930))+~E(f330(f330(f82(a930),x51031),x51032),f2(a930)) % 242.40/242.47 [5104]E(x51041,f80(a930))+~E(f330(f330(f83(a930),x51042),x51041),f80(a930)) % 242.40/242.47 [5105]E(x51051,f80(a930))+~E(f330(f330(f83(a930),x51051),x51052),f80(a930)) % 242.40/242.47 [5122]~P91(x51221)+E(f330(f77(x51221),f330(f81(x51221),x51222)),f330(f77(x51221),x51222)) % 242.40/242.47 [5123]~P115(x51231)+E(f330(f77(x51231),f330(f103(x51231),x51232)),f330(f103(x51231),x51232)) % 242.40/242.47 [5124]~P91(x51241)+E(f330(f77(x51241),f330(f77(x51241),x51242)),f330(f77(x51241),x51242)) % 242.40/242.47 [5125]~P74(x51251)+E(f330(f168(x51251),f330(f171(x51251),x51252)),f330(f168(x51251),x51252)) % 242.40/242.47 [5130]~E(x51301,f330(a115,f2(a930)))+E(f330(f330(f248(a930),x51301),x51302),f330(a115,f2(a930))) % 242.40/242.47 [5139]~P5(x51391)+E(f330(f330(f23(x51391),f2(x51391)),x51392),f330(f81(x51391),x51392)) % 242.40/242.47 [5140]~E(x51402,f2(a930))+E(f142(a930,f330(f305(a930,x51401),x51402)),f116(a930)) % 242.40/242.47 [5149]~P98(x51491)+E(f330(f330(f82(x51491),x51492),f330(f106(x51491),a85)),x51492) % 242.40/242.47 [5150]E(x51501,f2(a1))+E(f49(f330(f77(a1),x51502),f330(f77(a1),x51501)),f55(x51502,x51501)) % 242.40/242.47 [5166]~E(x51661,x51662)+P1(f330(f330(f239(a930),x51661),x51662)) % 242.40/242.47 [5173]~E(x51731,f2(a102))+E(f330(f330(f82(a930),f330(a20,x51731)),x51732),x51732) % 242.40/242.47 [5174]~E(f330(f106(a1),x51742),f330(f103(a1),x51741))+E(x51741,f330(a107,f330(f106(a1),x51742))) % 242.40/242.47 [5187]~P9(x51871)+P9(f330(f330(f248(a1),x51871),x51872)) % 242.40/242.47 [5188]~P96(x51881)+E(f330(f330(f113(x51881),x51882),f330(f81(x51881),x51882)),f246(x51881)) % 242.40/242.47 [5189]~P96(x51891)+E(f330(f330(f104(x51891),x51892),f330(f81(x51891),x51892)),f191(x51891)) % 242.40/242.47 [5190]~P5(x51901)+E(f330(f330(f82(x51901),x51902),f330(f81(x51901),x51902)),f2(x51901)) % 242.40/242.47 [5214]E(x52141,f2(a930))+~E(f330(f81(a1),f330(f103(a1),x52142)),f330(f103(a1),x52141)) % 242.40/242.47 [5215]E(x52151,f2(a930))+~E(f330(f81(a1),f330(f103(a1),x52151)),f330(f103(a1),x52152)) % 242.40/242.47 [5225]E(f198(x52251,x52252),f2(a1))+P1(f330(f330(f239(a1),x52252),x52251)) % 242.40/242.47 [5226]E(f181(x52261,x52262),f116(a1))+P1(f330(f330(f239(a1),x52261),x52262)) % 242.40/242.47 [5227]E(f245(x52271,x52272),f2(a102))+P1(f330(f330(f240(a102),x52271),x52272)) % 242.40/242.47 [5240]E(x52401,f330(a115,f2(a930)))+~E(f330(f330(f83(a930),x52402),x52401),f330(a115,f2(a930))) % 242.40/242.47 [5241]E(x52411,f330(a115,f2(a930)))+~E(f330(f330(f83(a930),x52411),x52412),f330(a115,f2(a930))) % 242.40/242.47 [5242]~P110(x52421)+P1(f330(f330(f239(x52421),x52422),x52422)) % 242.40/242.47 [5245]~P98(x52451)+E(f330(f330(f83(x52451),x52452),f330(f106(x52451),a100)),f330(f81(x52451),x52452)) % 242.40/242.47 [5265]~P142(x52651)+E(f330(f81(x52651),f330(f105(x52651),x52652)),f330(f105(x52651),f330(f81(a1),x52652))) % 242.40/242.47 [5266]~P98(x52661)+E(f330(f81(x52661),f330(f106(x52661),x52662)),f330(f106(x52661),f330(f81(a1),x52662))) % 242.40/242.47 [5295]~E(x52951,f330(a115,x52952))+P1(f330(f330(f240(a930),f2(a930)),x52951)) % 242.40/242.47 [5313]~P112(x53131)+E(f330(f81(f937(x53131,a925)),f330(f286(x53131),x53132)),f330(f287(x53131),x53132)) % 242.40/242.47 [5314]~P112(x53141)+E(f330(f81(f937(x53141,a925)),f330(f304(x53141),x53142)),f330(f307(x53141),x53142)) % 242.40/242.47 [5315]~P112(x53151)+E(f330(f81(f937(x53151,a925)),f330(f307(x53151),x53152)),f330(f304(x53151),x53152)) % 242.40/242.47 [5316]~P112(x53161)+E(f330(f81(f937(x53161,a925)),f330(f287(x53161),x53162)),f330(f286(x53161),x53162)) % 242.40/242.47 [5324]~E(f330(f103(a1),x53242),x53241)+P1(f330(f330(f239(a1),f2(a1)),x53241)) % 242.40/242.47 [5331]~E(x53312,f2(a1))+E(f55(x53311,x53312),f330(f330(f256(a1,a1),f2(a1)),f330(f77(a1),x53311))) % 242.40/242.47 [5333]~P104(x53331)+P1(f330(f330(f239(x53331),f191(x53331)),x53332)) % 242.40/242.47 [5366]E(x53661,x53662)+~E(f330(f330(f82(a1),x53661),x53661),f330(f330(f82(a1),x53662),x53662)) % 242.40/242.47 [5370]~P1(f330(x53701,x53702))+P1(f330(x53701,f330(a107,f336(x53701)))) % 242.40/242.47 [5396]~P115(x53961)+E(f330(f330(f83(x53961),f84(x53961,x53962)),f330(f77(x53961),x53962)),x53962) % 242.40/242.47 [5397]E(x53971,x53972)+~P1(f330(f330(f197(a25),x53971),x53972)) % 242.40/242.47 [5404]~E(x54042,f2(a930))+E(f87(f936(a930,a930),f50(x54041,x54042)),f330(f330(f256(a930,a930),f2(a930)),x54041)) % 242.40/242.47 [5409]~E(x54091,x54092)+~P1(f330(f330(f240(a930),x54091),x54092)) % 242.40/242.47 [5410]~E(x54101,x54102)+~P1(f330(f330(f240(a1),x54101),x54102)) % 242.40/242.47 [5413]~P147(x54131)+E(f330(f330(f82(x54131),f80(x54131)),f330(f103(x54131),x54132)),f330(f103(x54131),f330(a115,x54132))) % 242.40/242.47 [5417]~E(x54171,f2(a930))+~P1(f330(f330(f240(a930),x54172),x54171)) % 242.40/242.47 [5431]E(f155(x54311,x54312),x54312)+~E(f330(f192(f931(x54311)),f155(x54311,x54312)),f330(f192(f931(x54311)),x54312)) % 242.40/242.47 [5432]E(f330(f37(x54321),f330(f175(x54321),x54322)),f330(f192(f931(x54321)),x54322))+~P1(f330(f140(x54321),x54322)) % 242.40/242.47 [5446]~P1(f330(x54461,f337(x54461)))+P1(f330(x54461,f330(f103(a1),x54462))) % 242.40/242.47 [5456]E(f245(x54561,x54562),x54562)+~P1(f330(f330(f240(a102),x54561),x54562)) % 242.40/242.47 [5458]E(f276(x54581,x54582),f80(a102))+~P1(f330(f330(f240(a102),x54582),x54581)) % 242.40/242.47 [5459]E(f181(x54591,x54592),f116(a1))+~P1(f330(f330(f240(a1),x54592),x54591)) % 242.40/242.47 [5460]E(f131(x54601,x54602),f118(a1))+~P1(f330(f330(f240(a1),x54601),x54602)) % 242.40/242.47 [5462]~P113(x54621)+E(f306(x54621,x54622,x54622),f330(f330(f312(x54621),x54622),f191(f937(x54621,a925)))) % 242.40/242.47 [5482]~E(f330(f330(f23(a930),x54821),x54822),f2(a930))+P1(f330(f330(f239(a930),x54821),x54822)) % 242.40/242.47 [5505]~E(x55052,f2(a930))+E(f57(x55051,x55052,f116(x55051)),f330(f330(f154(f931(x55051)),f116(x55051)),f116(f931(x55051)))) % 242.40/242.47 [5509]~P110(x55091)+~P1(f330(f330(f240(x55091),x55092),x55092)) % 242.40/242.47 [5511]~E(f47(a1,x55111,x55112),f2(a1))+E(f47(a1,x55111,f330(f81(a1),x55112)),f2(a1)) % 242.40/242.47 [5513]~E(f47(a1,x55131,x55132),f2(a1))+E(f47(a1,f330(f81(a1),x55131),x55132),f2(a1)) % 242.40/242.47 [5521]E(f330(f305(a930,x55211),f330(a115,x55212)),f191(f937(a930,a925)))+P1(f330(f330(f239(a930),x55211),x55212)) % 242.40/242.47 [5544]E(f142(a930,f330(f305(a930,x55441),x55442)),f116(a930))+P1(f330(f330(f240(a930),x55441),x55442)) % 242.40/242.47 [5549]~E(f330(f37(x55491),f330(f175(x55491),x55492)),f330(f192(f931(x55491)),x55492))+P1(f330(f140(x55491),x55492)) % 242.40/242.47 [5553]~P1(f330(f140(x55531),x55532))+P1(f330(f140(x55531),f330(f170(x55531),x55532))) % 242.40/242.47 [5554]~P1(f330(f140(x55541),x55542))+P1(f330(f140(x55541),f330(f174(x55541),x55542))) % 242.40/242.47 [5555]~P1(f330(f140(x55551),x55552))+P1(f330(f140(x55551),f330(f171(x55551),x55552))) % 242.40/242.47 [5563]P1(f330(x55631,x55632))+~P1(f330(x55631,f330(a107,f415(x55631)))) % 242.40/242.47 [5564]P1(f330(f330(f239(a930),x55642),x55641))+P1(f330(f330(f239(a930),x55641),x55642)) % 242.40/242.47 [5565]P1(f330(f330(f239(a1),x55652),x55651))+P1(f330(f330(f239(a1),x55651),x55652)) % 242.40/242.47 [5569]~P91(x55691)+P1(f330(f330(f239(x55691),x55692),f330(f77(x55691),x55692))) % 242.40/242.47 [5572]P1(f330(x55721,f380(x55721)))+~P1(f330(x55721,f330(f103(a1),x55722))) % 242.40/242.47 [5596]E(f330(f330(f23(a930),x55961),x55962),f2(a930))+~P1(f330(f330(f239(a930),x55961),x55962)) % 242.40/242.47 [5597]E(f330(f330(f38(a930),x55971),x55972),f2(a930))+~P1(f330(f330(f240(a930),x55971),x55972)) % 242.40/242.47 [5615]E(f47(a930,x56151,x56152),x56151)+~P1(f330(f330(f240(a930),x56151),x56152)) % 242.40/242.47 [5623]E(f47(a1,x56231,f330(f81(a1),x56232)),f294(x56231,x56232))+P1(f330(f330(f239(a1),f2(a1)),x56232)) % 242.40/242.47 [5635]E(f330(f330(f23(a1),x56351),x56352),f198(x56351,x56352))+~P1(f330(f330(f239(a1),x56352),x56351)) % 242.40/242.47 [5655]P1(f330(f330(f239(a1),f2(a1)),f337(x56551)))+P1(f330(x56551,f330(f103(a1),x56552))) % 242.40/242.47 [5668]~P127(x56681)+P1(f330(f330(f239(x56681),f2(x56681)),f330(f103(x56681),x56682))) % 242.40/242.47 [5669]~P91(x56691)+P1(f330(f330(f239(x56691),f2(x56691)),f330(f77(x56691),x56692))) % 242.40/242.47 [5696]E(f330(f330(f82(a930),x56961),f904(x56962,x56961)),x56962)+~P1(f330(f330(f239(a930),x56961),x56962)) % 242.40/242.47 [5708]~E(f330(f106(a1),x57081),f330(f103(a1),x57082))+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x57081))) % 242.40/242.47 [5711]E(f306(a1,x57111,x57112),f191(f937(a1,a925)))+~P1(f330(f330(f240(a1),x57112),x57111)) % 242.40/242.47 [5714]~P115(x57141)+E(f330(f330(f83(x57141),f330(f77(x57141),x57142)),f330(f77(x57141),x57142)),f330(f330(f83(x57141),x57142),x57142)) % 242.40/242.47 [5719]E(f142(a930,f330(f305(a930,x57191),f330(a115,x57192))),f116(a930))+P1(f330(f330(f239(a930),x57191),x57192)) % 242.40/242.47 [5723]E(f330(f330(f38(a1),x57231),x57232),f295(x57231,x57232))+~P1(f330(f330(f239(a1),f2(a1)),x57232)) % 242.40/242.47 [5743]P1(f330(f140(x57431),x57432))+~P1(f330(f140(x57431),f330(f170(x57431),x57432))) % 242.40/242.47 [5744]P1(f330(f140(x57441),x57442))+~P1(f330(f140(x57441),f330(f171(x57441),x57442))) % 242.40/242.47 [5769]P1(f330(f63(a930),x57691))+P1(f330(f330(f332(a930),f801(x57691,x57692)),x57691)) % 242.40/242.47 [5770]P1(f330(f63(a930),x57701))+P1(f330(f330(f332(a930),f828(x57701,x57702)),x57701)) % 242.40/242.47 [5773]P1(f330(f330(f240(a930),x57732),f330(a115,x57731)))+P1(f330(f330(f240(a930),x57731),x57732)) % 242.40/242.47 [5774]E(f47(a1,x57741,x57742),f294(x57741,x57742))+~P1(f330(f330(f239(a1),f2(a1)),x57742)) % 242.40/242.47 [5777]E(f142(a930,f330(f305(a930,x57771),x57772)),f116(a930))+~P1(f330(f330(f239(a930),x57772),x57771)) % 242.40/242.47 [5778]~P83(x57781)+E(f330(f313(x57781,x57781,f81(x57781)),f330(f286(x57781),x57782)),f330(f307(x57781),f330(f81(x57781),x57782))) % 242.40/242.47 [5779]~P83(x57791)+E(f330(f313(x57791,x57791,f81(x57791)),f330(f304(x57791),x57792)),f330(f287(x57791),f330(f81(x57791),x57792))) % 242.40/242.47 [5780]~P83(x57801)+E(f330(f313(x57801,x57801,f81(x57801)),f330(f307(x57801),x57802)),f330(f286(x57801),f330(f81(x57801),x57802))) % 242.40/242.47 [5781]~P83(x57811)+E(f330(f313(x57811,x57811,f81(x57811)),f330(f287(x57811),x57812)),f330(f304(x57811),f330(f81(x57811),x57812))) % 242.40/242.47 [5792]E(x57921,f191(f937(x57922,a925)))+P1(f330(f330(f332(x57922),f634(x57921,x57922)),x57921)) % 242.40/242.47 [5793]E(x57931,f191(f937(x57932,a925)))+P1(f330(f330(f332(x57932),f549(x57931,x57932)),x57931)) % 242.40/242.47 [5804]~P1(f330(f330(f240(a930),x58041),x58042))+P1(f330(f330(f239(a930),x58041),x58042)) % 242.40/242.47 [5805]~P1(f330(f330(f240(a1),x58051),x58052))+P1(f330(f330(f239(a1),x58051),x58052)) % 242.40/242.47 [5821]E(f49(x58211,x58212),f330(f330(f256(a1,a1),f2(a1)),x58211))+~P1(f330(f330(f240(a1),x58211),x58212)) % 242.40/242.47 [5823]E(f219(f330(f81(a1),x58231),f330(f81(a1),x58232)),f219(x58231,x58232))+~P1(f330(f330(f240(a1),x58232),f2(a1))) % 242.40/242.47 [5834]E(x58341,x58342)+~E(f330(a3,f330(a115,f330(a20,x58341))),f330(a3,f330(a115,f330(a20,x58342)))) % 242.40/242.47 [5839]E(f49(x58391,x58392),f330(f330(f256(a1,a1),f2(a1)),x58391))+~P1(f330(f330(f239(a1),x58392),f2(a1))) % 242.40/242.47 [5868]E(f47(a930,f330(f106(a930),x58681),f330(f106(a930),x58682)),f2(a930))+~P1(f330(a196,f330(f106(a1),x58681))) % 242.40/242.47 [5882]P1(f330(f330(f239(a1),f2(a1)),f380(x58821)))+~P1(f330(x58821,f330(f103(a1),x58822))) % 242.40/242.47 [5915]P45(f306(a1,x59151,x59152))+~P1(f330(f330(f239(a1),f2(a1)),x59151)) % 242.40/242.47 [5920]~P1(f330(f63(x59201),x59202))+P1(f330(f63(f937(x59201,a925)),f330(f311(x59201),x59202))) % 242.40/242.47 [5933]E(f330(f330(f82(a1),x59331),f330(f103(a1),f374(x59332,x59331))),x59332)+~P1(f330(f330(f239(a1),x59331),x59332)) % 242.40/242.47 [5941]P1(f330(f330(f239(a930),x59411),x59412))+P1(f330(f330(f239(a930),f330(a115,x59412)),x59411)) % 242.40/242.47 [5985]E(f330(f330(f38(a930),f330(f106(a930),x59851)),f330(f106(a930),x59852)),f2(a930))+~P1(f330(a196,f330(f106(a1),x59851))) % 242.40/242.47 [5986]E(f330(f330(f83(a930),f330(f106(a930),x59861)),f330(f106(a930),x59862)),f2(a930))+~P1(f330(f330(f240(a1),x59861),a85)) % 242.40/242.47 [5988]P1(f330(f330(f239(a930),x59881),f330(a115,x59882)))+~P1(f330(f330(f239(a930),x59881),x59882)) % 242.40/242.47 [5990]P1(f330(f330(f240(a930),x59901),f330(a115,x59902)))+~P1(f330(f330(f239(a930),x59901),x59902)) % 242.40/242.47 [5992]P1(f330(f330(f240(a930),x59921),f330(a115,x59922)))+~P1(f330(f330(f240(a930),x59921),x59922)) % 242.40/242.47 [5995]~E(x59951,x59952)+P1(f330(f330(f240(a1),x59951),f330(f330(f82(a1),x59952),f80(a1)))) % 242.40/242.47 [5998]E(f47(a1,x59981,x59982),f2(a1))+E(f330(f330(f23(a1),x59982),f47(a1,x59981,x59982)),f47(a1,f330(f81(a1),x59981),x59982)) % 242.40/242.47 [6007]E(x60071,f116(x60072))+P1(f330(f330(f332(x60072),f147(x60072,x60071)),f330(f175(x60072),x60071))) % 242.40/242.47 [6019]E(f87(f936(a930,a930),f50(x60191,x60192)),f330(f330(f256(a930,a930),f2(a930)),x60191))+~P1(f330(f330(f240(a930),x60191),x60192)) % 242.40/242.47 [6054]E(f330(f330(f23(a930),f330(f106(a930),x60541)),f330(f106(a930),x60542)),f330(f106(a930),x60541))+~P1(f330(f330(f240(a1),x60542),a85)) % 242.40/242.47 [6055]E(f330(f330(f82(a930),f330(f106(a930),x60551)),f330(f106(a930),x60552)),f330(f106(a930),x60552))+~P1(f330(f330(f240(a1),x60551),a85)) % 242.40/242.47 [6062]E(f330(a115,f330(f330(f82(a930),x60621),f910(x60622,x60621))),x60622)+~P1(f330(f330(f240(a930),x60621),x60622)) % 242.40/242.47 [6089]P1(f330(x60891,x60892))+~P1(f330(x60891,f330(a91,f567(x60892,x60891)))) % 242.40/242.47 [6090]P1(f330(x60901,x60902))+~P1(f330(x60901,f330(a3,f839(x60902,x60901)))) % 242.40/242.47 [6099]~P1(f330(f330(f240(a930),x60991),f330(a115,x60992)))+P1(f330(f330(f239(a930),x60991),x60992)) % 242.40/242.47 [6145]E(f330(f330(f312(a930),x61451),f330(f305(a930,x61452),x61451)),f330(f305(a930,x61452),f330(a115,x61451)))+~P1(f330(f330(f239(a930),x61452),x61451)) % 242.40/242.47 [6147]E(x61471,f116(x61472))+E(f330(f330(f137(x61472),f117(x61472,x61471)),f330(f330(f154(x61472),f147(x61472,x61471)),f116(x61472))),x61471) % 242.40/242.47 [6164]P1(f330(f63(x61641),x61642))+~P1(f330(f330(f240(a930),f2(a930)),f330(f37(x61641),x61642))) % 242.40/242.47 [6167]~E(x61671,f191(f937(x61672,a925)))+~P1(f330(f330(f240(a930),f2(a930)),f330(f37(x61672),x61671))) % 242.40/242.47 [6179]~P1(f330(f330(f240(a930),x61791),x61792))+P1(f330(f330(f239(a930),f330(a115,x61791)),x61792)) % 242.40/242.47 [6184]~P112(x61841)+E(f153(x61841,x61841,f5(x61841),f155(x61841,x61842)),f142(x61841,f330(f175(x61841),x61842))) % 242.40/242.47 [6187]E(x61871,f116(x61872))+P1(f330(f330(f332(x61872),f330(f144(x61872),x61871)),f330(f175(x61872),x61871))) % 242.40/242.47 [6193]~P127(x61931)+P1(f330(f330(f240(x61931),x61932),f330(f330(f82(x61931),x61932),f80(x61931)))) % 242.40/242.47 [6195]~P91(x61951)+P1(f330(f330(f239(x61951),f330(f81(x61951),x61952)),f330(f77(x61951),x61952))) % 242.40/242.47 [6227]P1(f330(f63(a930),x62271))+~P1(f330(f330(f239(a930),f828(x62271,x62272)),x62272)) % 242.40/242.47 [6228]P1(f330(f63(a930),x62281))+~P1(f330(f330(f240(a930),f801(x62281,x62282)),x62282)) % 242.40/242.47 [6232]~P1(f330(f63(f936(x62321,x62321)),x62322))+P1(f330(f63(x62321),f330(f285(x62321),x62322))) % 242.40/242.47 [6290]~P1(f330(f330(f240(a930),x62902),f330(a115,x62901)))+~P1(f330(f330(f240(a930),x62901),x62902)) % 242.40/242.47 [6291]~P113(x62911)+E(f330(f330(f104(f937(x62911,a925)),f330(f304(x62911),x62912)),f330(f287(x62911),x62912)),f330(f330(f312(x62911),x62912),f191(f937(x62911,a925)))) % 242.40/242.47 [6303]P1(f330(f63(x63031),x63032))+~P1(f330(f63(f937(x63031,a925)),f330(f311(x63031),x63032))) % 242.40/242.47 [6325]P1(f330(f330(f239(a930),f330(a115,x63251)),f330(a115,x63252)))+~P1(f330(f330(f239(a930),x63251),x63252)) % 242.40/242.47 [6326]P1(f330(f330(f239(a930),f330(a20,x63261)),f330(a20,x63262)))+~P1(f330(f330(f239(a102),x63261),x63262)) % 242.40/242.47 [6327]P1(f330(f330(f239(a102),f330(a3,x63271)),f330(a3,x63272)))+~P1(f330(f330(f239(a930),x63271),x63272)) % 242.40/242.47 [6329]P1(f330(f330(f240(a930),f330(a115,x63291)),f330(a115,x63292)))+~P1(f330(f330(f240(a930),x63291),x63292)) % 242.40/242.47 [6330]P1(f330(f330(f240(a930),f330(a20,x63301)),f330(a20,x63302)))+~P1(f330(f330(f240(a102),x63301),x63302)) % 242.40/242.47 [6331]P1(f330(f330(f240(a102),f330(a3,x63311)),f330(a3,x63312)))+~P1(f330(f330(f240(a930),x63311),x63312)) % 242.40/242.47 [6336]E(x63361,x63362)+~E(f330(f313(a930,a1,f103(a1)),x63361),f330(f313(a930,a1,f103(a1)),x63362)) % 242.40/242.47 [6352]P1(f330(f330(f239(a930),x63521),x63522))+~P1(f330(f330(f239(a930),f330(a115,x63521)),x63522)) % 242.40/242.47 [6355]P1(f330(f330(f240(a930),x63551),x63552))+~P1(f330(f330(f239(a930),f330(a115,x63551)),x63552)) % 242.40/242.47 [6356]P1(f330(f330(f240(a930),x63561),x63562))+~P1(f330(f330(f240(a930),f330(a115,x63561)),x63562)) % 242.40/242.47 [6374]E(f47(a1,x63741,x63742),f2(a1))+E(f330(f330(f23(a1),f47(a1,x63741,x63742)),x63742),f47(a1,x63741,f330(f81(a1),x63742))) % 242.40/242.47 [6439]E(f330(f37(f937(x64391,a925)),f330(f311(x64391),x64392)),f330(f330(f248(a930),f330(a115,f330(a115,f2(a930)))),f330(f37(x64391),x64392)))+~P1(f330(f63(x64391),x64392)) % 242.40/242.47 [6442]E(x64421,f116(x64422))+E(f330(f330(f167(x64422),x64421),f330(f330(f23(a930),f330(f192(f931(x64422)),x64421)),f80(a930))),f147(x64422,x64421)) % 242.40/242.47 [6464]E(x64641,f116(x64642))+E(f330(f330(f137(x64642),f330(f174(x64642),x64641)),f330(f330(f154(x64642),f330(f144(x64642),x64641)),f116(x64642))),f330(f170(x64642),x64641)) % 242.40/242.47 [6494]~P1(f330(f63(x64941),f39(f937(x64941,a925),x64942)))+P1(f330(f63(f937(x64941,a925)),x64942)) % 242.40/242.47 [6516]P1(f330(f330(f239(a930),f330(f106(a930),x65161)),f330(f106(a930),x65162)))+~P1(f330(f330(f239(a1),x65161),a85)) % 242.40/242.47 [6536]~P1(f330(f330(f240(a1),x65361),x65362))+P1(f330(f330(f239(a1),x65361),f330(f330(f23(a1),x65362),f80(a1)))) % 242.40/242.47 [6537]~P1(f330(f330(f239(a1),x65371),x65372))+P1(f330(f330(f240(a1),x65371),f330(f330(f82(a1),x65372),f80(a1)))) % 242.40/242.47 [6538]~P1(f330(f330(f240(a1),x65381),x65382))+P1(f330(f330(f240(a1),x65381),f330(f330(f82(a1),x65382),f80(a1)))) % 242.40/242.47 [6540]~P1(f330(f330(f239(a1),x65401),x65402))+P1(f330(f330(f239(a930),f330(f106(a930),x65401)),f330(f106(a930),x65402))) % 242.40/242.47 [6542]~P1(f330(f330(f239(a930),x65421),x65422))+P1(f330(f330(f239(a1),f330(f103(a1),x65421)),f330(f103(a1),x65422))) % 242.40/242.47 [6543]~P1(f330(f330(f239(a1),x65431),x65432))+P1(f330(f330(f239(a1),f330(f106(a1),x65431)),f330(f106(a1),x65432))) % 242.40/242.47 [6545]~P1(f330(f330(f240(a930),x65451),x65452))+P1(f330(f330(f240(a1),f330(f103(a1),x65451)),f330(f103(a1),x65452))) % 242.40/242.47 [6546]~P1(f330(f330(f240(a1),x65461),x65462))+P1(f330(f330(f240(a1),f330(f106(a1),x65461)),f330(f106(a1),x65462))) % 242.40/242.47 [6566]~P1(f330(f330(f239(a930),x65661),x65662))+~P1(f330(f330(f239(a930),f330(a115,x65662)),x65661)) % 242.40/242.47 [6608]~P1(f330(f330(f239(a930),f330(a115,x66081)),f330(a115,x66082)))+P1(f330(f330(f239(a930),x66081),x66082)) % 242.40/242.47 [6609]~P1(f330(f330(f239(a102),f330(a3,x66091)),f330(a3,x66092)))+P1(f330(f330(f239(a930),x66091),x66092)) % 242.40/242.47 [6610]~P1(f330(f330(f239(a930),f330(a20,x66101)),f330(a20,x66102)))+P1(f330(f330(f239(a102),x66101),x66102)) % 242.40/242.47 [6612]~P1(f330(f330(f240(a930),f330(a115,x66121)),f330(a115,x66122)))+P1(f330(f330(f240(a930),x66121),x66122)) % 242.40/242.47 [6613]~P1(f330(f330(f240(a102),f330(a3,x66131)),f330(a3,x66132)))+P1(f330(f330(f240(a930),x66131),x66132)) % 242.40/242.47 [6614]~P1(f330(f330(f240(a930),f330(a107,x66141)),f330(a107,x66142)))+P1(f330(f330(f240(a1),x66141),x66142)) % 242.40/242.47 [6615]~P1(f330(f330(f240(a930),f330(a20,x66151)),f330(a20,x66152)))+P1(f330(f330(f240(a102),x66151),x66152)) % 242.40/242.47 [6657]~P1(f330(f330(f240(a930),f330(a107,x66572)),f330(a107,x66571)))+P1(f330(f330(f240(a1),f2(a1)),x66571)) % 242.40/242.47 [6690]P1(f330(f330(f239(a1),f2(a1)),f47(a1,x66901,x66902)))+~P1(f330(f330(f240(a1),f2(a1)),x66902)) % 242.40/242.47 [6852]P42(x68521,x68522)+~E(f330(f330(f292(x68521,x68521,x68521),x68522),x68522),f191(f937(f936(x68521,x68521),a925))) % 242.40/242.47 [6864]~P42(x68641,x68642)+P42(x68641,f330(f330(f292(x68641,x68641,x68641),x68642),x68642)) % 242.40/242.47 [6875]P1(f330(f330(f239(a1),x68751),x68752))+~P1(f330(f330(f240(a1),x68751),f330(f330(f82(a1),x68752),f80(a1)))) % 242.40/242.47 [6876]P1(f330(f330(f240(a1),x68761),x68762))+~P1(f330(f330(f239(a1),x68761),f330(f330(f23(a1),x68762),f80(a1)))) % 242.40/242.47 [6879]P1(f330(f330(f239(a930),x68791),x68792))+~P1(f330(f330(f239(a1),f330(f103(a1),x68791)),f330(f103(a1),x68792))) % 242.40/242.47 [6880]P1(f330(f330(f239(a1),x68801),x68802))+~P1(f330(f330(f239(a1),f330(f106(a1),x68801)),f330(f106(a1),x68802))) % 242.40/242.47 [6882]P1(f330(f330(f240(a930),x68821),x68822))+~P1(f330(f330(f240(a1),f330(f103(a1),x68821)),f330(f103(a1),x68822))) % 242.40/242.47 [6883]P1(f330(f330(f240(a1),x68831),x68832))+~P1(f330(f330(f240(a930),f330(f106(a930),x68831)),f330(f106(a930),x68832))) % 242.40/242.47 [6884]P1(f330(f330(f240(a1),x68841),x68842))+~P1(f330(f330(f240(a1),f330(f106(a1),x68841)),f330(f106(a1),x68842))) % 242.40/242.47 [6976]~E(f717(x69762,x69761),f116(x69761))+E(f330(f145(f931(x69761),f931(x69761),f137(x69761),f116(x69761)),x69762),f116(x69761)) % 242.40/242.47 [6977]~E(f718(x69772,x69771),f116(x69771))+E(f330(f145(f931(x69771),f931(x69771),f137(x69771),f116(x69771)),x69772),f116(x69771)) % 242.40/242.47 [6982]~P8(x69821)+E(f330(f145(x69821,x69821,f104(x69821),f246(x69821)),x69822),f40(x69821,f330(f175(x69821),x69822))) % 242.40/242.47 [6983]~P8(x69831)+E(f330(f145(x69831,x69831,f113(x69831),f191(x69831)),x69832),f39(x69831,f330(f175(x69831),x69832))) % 242.40/242.47 [6997]E(x69971,f2(a102))+E(f330(f330(f82(a930),f330(a20,f330(f330(f23(a102),x69971),f80(a102)))),f330(a115,x69972)),f330(f330(f82(a930),f330(a20,x69971)),x69972)) % 242.40/242.47 [7046]P1(f330(f330(f240(a1),f330(f330(f23(a1),x70461),x70462)),f2(a1)))+~P1(f330(f330(f240(a1),x70461),x70462)) % 242.40/242.47 [7071]~P112(x70711)+E(f330(f330(f113(f937(x70711,a925)),f330(f330(f312(x70711),x70712),f191(f937(x70711,a925)))),f330(f307(x70711),x70712)),f330(f287(x70711),x70712)) % 242.40/242.47 [7144]~P66(x71441,x71442)+P42(x71441,f330(f266(f936(x71441,x71441)),f330(f261(x71441,x71441,a925),x71442))) % 242.40/242.47 [7145]~P66(x71451,x71452)+P64(x71451,f330(f266(f936(x71451,x71451)),f330(f261(x71451,x71451,a925),x71452))) % 242.40/242.47 [7146]~P56(x71461,x71462)+P43(x71461,f330(f266(f936(x71461,x71461)),f330(f261(x71461,x71461,a925),x71462))) % 242.40/242.47 [7147]~P57(x71471,x71472)+P58(x71471,f330(f266(f936(x71471,x71471)),f330(f261(x71471,x71471,a925),x71472))) % 242.40/242.47 [7148]E(x71481,f191(f937(x71482,a925)))+~P1(f330(f330(f239(f937(x71482,a925)),x71481),f191(f937(x71482,a925)))) % 242.40/242.47 [7231]~P1(f330(f330(f240(a930),f2(a930)),x72312))+P1(f330(f330(f239(a930),f47(a930,x72311,x72312)),x72312)) % 242.40/242.47 [7232]~P1(f330(f330(f239(a1),f2(a1)),x72321))+P1(f330(f330(f239(a1),f47(a1,x72321,x72322)),x72321)) % 242.40/242.47 [7233]~P1(f330(f330(f240(a930),f2(a930)),x72332))+P1(f330(f330(f240(a930),f47(a930,x72331,x72332)),x72332)) % 242.40/242.47 [7235]~P1(f330(f330(f240(a1),f2(a1)),x72352))+P1(f330(f330(f240(a1),f47(a1,x72351,x72352)),x72352)) % 242.40/242.47 [7311]~P113(x73111)+E(f330(f330(f23(f937(x73111,a925)),f330(f330(f312(x73111),x73112),f191(f937(x73111,a925)))),f330(f286(x73111),x73112)),f330(f330(f312(x73111),x73112),f191(f937(x73111,a925)))) % 242.40/242.47 [7384]~P49(x73841,x73842)+P59(x73841,f246(f937(x73841,a925)),f330(f266(f936(x73841,x73841)),f330(f261(x73841,x73841,a925),x73842))) % 242.40/242.47 [7385]P1(f330(x73851,x73852))+P1(f330(f330(f332(f937(f936(a930,a930),a925)),f567(x73852,x73851)),a101)) % 242.40/242.47 [7429]E(f330(f330(f137(a930),f142(a930,f330(f305(a930,x74291),x74292))),f330(f330(f154(a930),x74292),f116(a930))),f142(a930,f330(f305(a930,x74291),f330(a115,x74292))))+~P1(f330(f330(f239(a930),x74291),x74292)) % 242.40/242.47 [7585]E(x75851,f2(a930))+~E(f330(f145(a930,a930,f82(a930),x75851),x75852),f2(a930)) % 242.40/242.47 [7611]~P1(f330(f330(f240(a1),f330(f330(f23(a1),x76111),x76112)),f2(a1)))+P1(f330(f330(f240(a1),x76111),x76112)) % 242.40/242.47 [7638]P42(x76381,x76382)+~P42(x76381,f330(f330(f292(x76381,x76381,x76381),x76382),x76382)) % 242.40/242.47 [7667]~P1(f330(f330(f239(a930),f330(a115,x76671)),x76672))+P1(f188(a925,a243,f330(f239(a930),x76671),x76672)) % 242.40/242.47 [7823]P28(a930,a930,f330(f330(f7(a930,a930,a930),f23(a930)),x78231),x78232)+P1(f330(f330(f332(a930),f697(x78231,x78232)),x78232)) % 242.40/242.47 [7880]E(f330(f330(f330(f67(a930,x78801,f82(a930)),f330(f16(a930,x78801),f80(a930))),f2(a930)),x78802),f330(f37(x78801),x78802))+~P1(f330(f63(x78801),x78802)) % 242.40/242.47 [7921]P28(a930,a930,f330(f330(f7(a930,a930,a930),f23(a930)),x79211),x79212)+~P1(f330(f330(f239(a930),x79211),f697(x79211,x79212))) % 242.40/242.47 [7977]P42(x79771,x79772)+P1(f330(f330(f239(f937(x79771,a925)),f566(x79772,x79771)),f330(f289(x79771,x79771,x79772),f566(x79772,x79771)))) % 242.40/242.47 [7982]P66(x79821,x79822)+~P42(x79821,f330(f266(f936(x79821,x79821)),f330(f261(x79821,x79821,a925),x79822))) % 242.40/242.47 [7983]P56(x79831,x79832)+~P43(x79831,f330(f266(f936(x79831,x79831)),f330(f261(x79831,x79831,a925),x79832))) % 242.40/242.47 [7984]P57(x79841,x79842)+~P58(x79841,f330(f266(f936(x79841,x79841)),f330(f261(x79841,x79841,a925),x79842))) % 242.40/242.47 [8058]P1(f330(f330(f239(a930),f330(a115,x80581)),x80582))+~P1(f188(a925,a243,f330(f239(a930),x80581),x80582)) % 242.40/242.47 [8113]P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x81131),x81132)),f310(a930,a320)))+~P1(f330(f330(f239(a930),x81131),x81132)) % 242.40/242.47 [8209]P49(x82091,x82092)+~P59(x82091,f246(f937(x82091,a925)),f330(f266(f936(x82091,x82091)),f330(f261(x82091,x82091,a925),x82092))) % 242.40/242.47 [8272]~P1(f330(f140(x82721),x82722))+P1(f330(f140(f937(x82721,a925)),f330(f330(f157(f931(x82721),f937(x82721,a925)),f175(x82721)),f56(x82721,x82722)))) % 242.40/242.47 [8475]~P42(x84751,f330(f290(x84751,x84751),x84752))+P42(x84751,f330(f290(x84751,x84751),f330(f330(f292(x84751,x84751,x84751),x84752),f310(x84751,x84752)))) % 242.40/242.47 [8577]P29(x85771,a930,f485(x85772,x85771),x85772,f330(f305(a930,f2(a930)),f330(f37(x85771),x85772)))+~P1(f330(f63(x85771),x85772)) % 242.40/242.47 [8578]P29(a930,x85781,f438(x85782,x85781),f330(f305(a930,f2(a930)),f330(f37(x85781),x85782)),x85782)+~P1(f330(f63(x85781),x85782)) % 242.40/242.47 [8595]P29(a930,x85951,f439(x85952,x85951),f306(a930,f80(a930),f330(f37(x85951),x85952)),x85952)+~P1(f330(f63(x85951),x85952)) % 242.40/242.47 [8604]P1(f330(f63(f936(x86041,x86041)),f330(f330(f292(x86041,x86041,x86041),x86042),f310(x86041,x86042))))+~P1(f330(f63(f936(x86041,x86041)),x86042)) % 242.40/242.47 [8632]E(x86321,f2(a1))+P1(f330(f51(x86322,x86321),f330(f330(f256(a1,a1),f330(f330(f38(a1),x86322),x86321)),f47(a1,x86322,x86321)))) % 242.40/242.47 [8646]~P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x86461),x86462)),f310(a930,a320)))+P1(f330(f330(f239(a930),x86461),x86462)) % 242.40/242.47 [8664]~P85(x86641)+E(f330(f145(x86641,x86641,f330(f7(x86641,x86641,x86641),f82(x86641)),f2(x86641)),f330(f171(x86641),x86642)),f330(f145(x86641,x86641,f82(x86641),f2(x86641)),x86642)) % 242.40/242.47 [8844]~P112(x88441)+E(f330(f145(f931(x88441),x88441,f330(f7(x88441,f931(x88441),f931(x88441)),f151(x88441,x88441,f5(x88441))),f116(x88441)),x88442),f153(x88441,x88441,f5(x88441),x88442)) % 242.40/242.47 [8955]~P64(x89551,f330(f266(f936(x89551,x89551)),f330(f261(x89551,x89551,a925),x89552)))+P64(x89551,f330(f266(f936(x89551,x89551)),f330(f261(x89551,x89551,a925),f247(x89551,x89551,x89552)))) % 242.40/242.47 [8969]P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x89691),x89692)),f330(f330(f292(a930,a930,a930),a320),f310(a930,a320))))+~P1(f330(f330(f240(a930),x89691),x89692)) % 242.40/242.47 [9015]~P1(f330(f63(f936(x90151,x90151)),f330(f330(f292(x90151,x90151,x90151),x90152),f310(x90151,x90152))))+P1(f330(f63(f936(x90151,x90151)),x90152)) % 242.40/242.47 [9073]~P64(x90731,f330(f266(f936(x90731,x90731)),f330(f261(x90731,x90731,a925),f247(x90731,x90731,x90732))))+P64(x90731,f330(f266(f936(x90731,x90731)),f330(f261(x90731,x90731,a925),x90732))) % 242.40/242.47 [9278]P64(x92781,x92782)+P1(f330(f330(f332(f936(x92781,x92781)),f330(f330(f256(x92781,x92781),f595(x92782,x92781)),f595(x92782,x92781))),f330(f330(f292(x92781,x92781,x92781),x92782),f310(x92781,x92782)))) % 242.40/242.47 [9279]P64(x92791,x92792)+P1(f330(f330(f332(f936(x92791,x92791)),f330(f330(f256(x92791,x92791),f601(x92792,x92791)),f601(x92792,x92791))),f330(f330(f292(x92791,x92791,x92791),x92792),f310(x92791,x92792)))) % 242.40/242.47 [9398]~P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x93981),x93982)),f330(f330(f292(a930,a930,a930),a320),f310(a930,a320))))+P1(f330(f330(f240(a930),x93981),x93982)) % 242.40/242.47 [5309]~P98(x53091)+E(f330(f330(f82(x53091),f330(f106(x53091),a85)),x53092),x53092) % 242.40/242.47 [5338]~P96(x53381)+E(f330(f330(f113(x53381),f330(f81(x53381),x53382)),x53382),f246(x53381)) % 242.40/242.47 [5339]~P96(x53391)+E(f330(f330(f104(x53391),f330(f81(x53391),x53392)),x53392),f191(x53391)) % 242.40/242.47 [5340]~P5(x53401)+E(f330(f330(f82(x53401),f330(f81(x53401),x53402)),x53402),f2(x53401)) % 242.40/242.47 [5341]~P6(x53411)+E(f330(f330(f82(x53411),f330(f81(x53411),x53412)),x53412),f2(x53411)) % 242.40/242.47 [5374]~P98(x53741)+E(f330(f330(f83(x53741),f330(f106(x53741),a100)),x53742),f330(f81(x53741),x53742)) % 242.40/242.47 [5536]~P116(x55361)+E(f330(f330(f83(x55361),f330(f81(x55361),f80(x55361))),x55362),f330(f81(x55361),x55362)) % 242.40/242.47 [5581]E(f330(f77(a1),x55811),f80(a1))+~E(f330(f77(a1),f330(f330(f83(a1),x55811),x55812)),f80(a1)) % 242.40/242.47 [5671]~P98(x56711)+E(f330(f330(f82(x56711),f80(x56711)),f330(f106(x56711),x56712)),f330(f106(x56711),f330(f330(f23(a1),x56712),a100))) % 242.40/242.47 [5724]~P2(x57241)+E(f10(x57241,f330(f330(f312(x57241),x57242),f191(f937(x57241,a925)))),x57242) % 242.40/242.47 [5725]~P2(x57251)+E(f13(x57251,f330(f330(f312(x57251),x57252),f191(f937(x57251,a925)))),x57252) % 242.40/242.47 [5726]~P112(x57261)+E(f14(x57261,f330(f330(f312(x57261),x57262),f191(f937(x57261,a925)))),x57262) % 242.40/242.47 [5727]~P112(x57271)+E(f15(x57271,f330(f330(f312(x57271),x57272),f191(f937(x57271,a925)))),x57272) % 242.40/242.47 [5728]~P8(x57281)+E(f40(x57281,f330(f330(f312(x57281),x57282),f191(f937(x57281,a925)))),x57282) % 242.40/242.47 [5729]~P8(x57291)+E(f39(x57291,f330(f330(f312(x57291),x57292),f191(f937(x57291,a925)))),x57292) % 242.40/242.47 [5751]E(f330(f330(f82(a930),x57511),f330(f330(f23(a930),x57512),x57511)),x57512)+P1(f330(f330(f240(a930),x57512),x57511)) % 242.40/242.47 [5787]E(x57871,f116(x57872))+P1(f330(f330(f240(a930),f2(a930)),f330(f192(f931(x57872)),x57871))) % 242.40/242.47 [5912]~P112(x59121)+E(f11(x59121,f238(x59121),f330(f330(f312(x59121),x59122),f191(f937(x59121,a925)))),x59122) % 242.40/242.47 [5913]~P112(x59131)+E(f12(x59131,f237(x59131),f330(f330(f312(x59131),x59132),f191(f937(x59131,a925)))),x59132) % 242.40/242.47 [5974]E(f330(f330(f23(a930),x59741),f330(f330(f23(a930),x59741),x59742)),x59742)+~P1(f330(f330(f239(a930),x59742),x59741)) % 242.40/242.47 [5975]E(f330(f330(f82(a930),x59751),f330(f330(f23(a930),x59752),x59751)),x59752)+~P1(f330(f330(f239(a930),x59751),x59752)) % 242.40/242.47 [5997]E(f47(a930,f330(f330(f23(a930),x59971),x59972),x59972),f47(a930,x59971,x59972))+P1(f330(f330(f240(a930),x59971),x59972)) % 242.40/242.47 [6008]E(f330(f81(a1),f330(f330(f38(a1),x60081),f330(f81(a1),x60082))),f295(x60081,x60082))+P1(f330(f330(f239(a1),f2(a1)),x60082)) % 242.40/242.47 [6010]~E(x60102,f2(a930))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f248(a930),x60101),x60102))) % 242.40/242.47 [6066]~P98(x60661)+E(f330(f330(f82(x60661),f330(f81(x60661),f80(x60661))),f330(f106(x60661),x60662)),f330(f106(x60661),f330(f330(f82(a1),x60662),a100))) % 242.40/242.47 [6068]E(f330(f330(f248(a930),f330(f106(a930),x60681)),x60682),f330(f330(f248(a930),f2(a930)),x60682))+~P1(f330(a196,f330(f106(a1),x60681))) % 242.40/242.47 [6171]E(f330(f144(a930),f142(a930,f330(f305(a930,x61711),x61712))),x61711)+~P1(f330(f330(f240(a930),x61711),x61712)) % 242.40/242.47 [6188]E(f330(f330(f83(a930),f330(f106(a930),x61881)),f330(f106(a930),x61882)),f330(f106(a930),f330(f330(f83(a1),x61881),x61882)))+P1(f330(f330(f240(a1),x61881),a85)) % 242.40/242.47 [6194]~P128(x61941)+P1(f330(f330(f239(x61941),f2(x61941)),f330(f330(f83(x61941),x61942),x61942))) % 242.40/242.47 [6206]E(f330(f330(f23(a930),f330(a115,x62061)),x62062),f330(a115,f330(f330(f23(a930),x62061),x62062)))+~P1(f330(f330(f239(a930),x62062),x62061)) % 242.40/242.47 [6209]E(f47(a930,f330(f330(f23(a930),x62091),x62092),x62092),f47(a930,x62091,x62092))+~P1(f330(f330(f239(a930),x62092),x62091)) % 242.40/242.47 [6263]E(f330(f330(f248(a930),f330(a107,x62631)),x62632),f330(a107,f330(f330(f248(a1),x62631),x62632)))+~P1(f330(f330(f239(a1),f2(a1)),x62631)) % 242.40/242.47 [6281]P1(f330(f140(x62811),x62812))+P1(f330(f330(f240(a930),f687(x62812,x62811)),f330(f192(f931(x62811)),x62812))) % 242.40/242.47 [6282]P1(f330(f140(x62821),x62822))+P1(f330(f330(f240(a930),f692(x62822,x62821)),f330(f192(f931(x62821)),x62822))) % 242.40/242.47 [6297]~E(x62971,f116(x62972))+~P1(f330(f330(f240(a930),f2(a930)),f330(f192(f931(x62972)),x62971))) % 242.40/242.47 [6308]E(f147(a930,f142(a930,f330(f305(a930,x63081),x63082))),f330(f330(f23(a930),x63082),f80(a930)))+~P1(f330(f330(f240(a930),x63081),x63082)) % 242.40/242.47 [6311]E(f330(f330(f82(a1),x63111),f330(f103(a1),f330(a115,f340(x63112,x63111)))),x63112)+~P1(f330(f330(f240(a1),x63111),x63112)) % 242.40/242.47 [6318]E(x63181,f2(a930))+E(f330(f330(f83(a930),x63182),f330(f330(f248(a930),x63182),f330(f330(f23(a930),x63181),f80(a930)))),f330(f330(f248(a930),x63182),x63181)) % 242.40/242.47 [6346]E(f330(f330(f83(a930),f330(a107,x63461)),f330(a107,x63462)),f330(a107,f330(f330(f83(a1),x63461),x63462)))+~P1(f330(f330(f239(a1),f2(a1)),x63461)) % 242.40/242.47 [6347]E(f330(f330(f38(a930),f330(a107,x63471)),f330(a107,x63472)),f330(a107,f330(f330(f38(a1),x63471),x63472)))+~P1(f330(f330(f239(a1),f2(a1)),x63471)) % 242.40/242.47 [6361]~P119(x63611)+E(f330(f330(f82(x63611),x63612),x63612),f330(f330(f83(x63611),f330(f330(f82(x63611),f80(x63611)),f80(x63611))),x63612)) % 242.40/242.47 [6383]E(f330(f330(f23(a1),f330(f103(a1),x63831)),f330(f103(a1),x63832)),f330(f103(a1),f330(f330(f23(a930),x63831),x63832)))+~P1(f330(f330(f239(a930),x63832),x63831)) % 242.40/242.47 [6385]E(f330(f330(f256(a1,a1),f330(f106(a1),a100)),f330(f330(f82(a1),x63851),x63852)),f52(x63851,x63852))+~P1(f330(f330(f239(a1),x63852),f2(a1))) % 242.40/242.47 [6417]E(f182(x64171,x64172),f116(f931(x64171)))+P1(f330(f330(f332(f931(x64171)),f686(x64172,x64171)),f330(f175(f931(x64171)),x64172))) % 242.40/242.47 [6426]E(f119(a1,f330(f132(a1),x64261),f131(x64262,f330(f330(f82(a1),x64261),f80(a1)))),f131(x64262,x64261))+P1(f330(f330(f240(a1),x64262),x64261)) % 242.40/242.47 [6500]E(f330(f330(f154(a1),x65001),f181(f330(f330(f82(a1),x65001),f80(a1)),x65002)),f181(x65001,x65002))+~P1(f330(f330(f239(a1),x65001),x65002)) % 242.40/242.47 [6539]~P1(f330(f330(f240(a930),x65392),x65391))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f23(a930),x65391),x65392))) % 242.40/242.47 [6571]~P1(f330(f330(f240(a930),x65711),f330(a107,x65712)))+P1(f330(f330(f240(a1),f330(f103(a1),x65711)),x65712)) % 242.40/242.47 [6599]~P112(x65991)+E(f330(f330(f113(f937(x65991,a925)),f330(f286(x65991),x65992)),f330(f330(f312(x65991),x65992),f191(f937(x65991,a925)))),f330(f304(x65991),x65992)) % 242.40/242.47 [6600]~P1(f330(f330(f239(a1),f2(a1)),x66001))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f248(a1),x66001),x66002))) % 242.40/242.47 [6603]~P1(f330(f330(f240(a930),f2(a930)),x66031))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f248(a930),x66031),x66032))) % 242.40/242.47 [6632]~E(f330(x66321,f2(a930)),f2(a930))+E(f330(f330(f6(a930,a930),x66321),f306(a930,f330(a115,f2(a930)),x66322)),f330(f330(f6(a930,a930),x66321),f306(a930,f2(a930),x66322))) % 242.40/242.47 [6698]~P98(x66981)+E(f330(f330(f83(x66981),f330(f330(f82(x66981),f80(x66981)),f80(x66981))),f330(f106(x66981),x66982)),f330(f106(x66981),f330(f330(f82(a1),x66982),x66982))) % 242.40/242.47 [6713]E(f330(f330(f312(a1),x67131),f306(a1,f330(f330(f82(a1),x67131),f80(a1)),x67132)),f306(a1,x67131,x67132))+P1(f330(f330(f240(a1),x67132),x67131)) % 242.40/242.47 [6714]P1(f330(f330(f240(a930),x67141),f330(a107,x67142)))+~P1(f330(f330(f240(a1),f330(f103(a1),x67141)),x67142)) % 242.40/242.47 [6821]E(f330(a107,f330(f330(f38(a1),f330(f106(a1),x68211)),f330(f106(a1),x68212))),f330(f330(f38(a930),f330(f106(a930),x68211)),f330(f106(a930),x68212)))+P1(f330(a196,f330(f106(a1),x68211))) % 242.40/242.47 [6877]P1(f330(f330(f240(a930),x68771),x68772))+~P1(f330(f330(f240(a930),f2(a930)),f330(f330(f23(a930),x68772),x68771))) % 242.40/242.47 [6920]P1(f330(f330(f240(a930),f2(a930)),x69201))+~P1(f330(f330(f240(a930),f2(a930)),f330(f330(f83(a930),x69202),x69201))) % 242.40/242.47 [6921]P1(f330(f330(f240(a930),f2(a930)),x69211))+~P1(f330(f330(f240(a930),f2(a930)),f330(f330(f83(a930),x69211),x69212))) % 242.40/242.47 [6939]~P1(f330(f330(f239(a1),x69391),f2(a1)))+E(f330(f330(f83(a930),f330(a107,f330(f81(a1),x69391))),f330(a107,f330(f81(a1),x69392))),f330(a107,f330(f330(f83(a1),x69391),x69392))) % 242.40/242.47 [6994]~E(x69942,f191(f937(x69941,a925)))+P1(f330(f330(f239(f937(x69941,a925)),x69942),f330(f81(f937(x69941,a925)),x69942))) % 242.40/242.47 [7056]~P98(x70561)+E(f330(f330(f82(x70561),f330(f330(f82(x70561),f2(x70561)),f330(f106(x70561),x70562))),f330(f106(x70561),x70562)),f330(f106(x70561),f330(f330(f82(a1),x70562),x70562))) % 242.40/242.47 [7110]~P1(f330(f330(f240(a1),x71101),x71102))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x71101),f80(a1))),x71102)) % 242.40/242.47 [7177]E(x71771,f2(a930))+~P1(f330(f330(f239(a1),f330(f103(a1),x71772)),f330(f81(a1),f330(f103(a1),x71771)))) % 242.40/242.47 [7178]E(x71781,f2(a930))+~P1(f330(f330(f239(a1),f330(f103(a1),x71781)),f330(f81(a1),f330(f103(a1),x71782)))) % 242.40/242.47 [7279]E(f330(f330(f256(a1,a1),f330(f106(a1),a100)),f330(f330(f82(a1),x72791),x72792)),f52(x72791,x72792))+~P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),x72791),x72792))) % 242.40/242.47 [7323]~P30(x73231,x73232)+P42(x73231,f330(f255(f937(f936(x73231,x73231),a925),f937(f936(x73231,x73231),a925)),x73232)) % 242.40/242.47 [7342]~P1(f330(f330(f239(a930),f330(a115,f2(a930))),x73421))+P1(f330(f330(f239(a930),f330(a115,f2(a930))),f330(f330(f248(a930),x73421),x73422))) % 242.40/242.47 [7522]~P1(f330(f330(f239(a1),x75221),x75222))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x75221),x75221)),f330(f330(f82(a1),x75222),x75222))) % 242.40/242.47 [7527]~P1(f330(f330(f240(a1),x75271),x75272))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x75271),x75271)),f330(f330(f82(a1),x75272),x75272))) % 242.40/242.47 [7588]~P1(f330(f330(f240(a930),f2(a930)),x75881))+P1(f330(f330(f240(a930),f330(f330(f23(a930),x75881),f330(a115,x75882))),x75881)) % 242.40/242.47 [7620]P1(f330(f330(f239(a930),f330(a115,f2(a930))),x76201))+~P1(f330(f330(f239(a930),f330(a115,f2(a930))),f330(f330(f83(a930),x76202),x76201))) % 242.40/242.47 [7621]P1(f330(f330(f239(a930),f330(a115,f2(a930))),x76211))+~P1(f330(f330(f239(a930),f330(a115,f2(a930))),f330(f330(f83(a930),x76211),x76212))) % 242.40/242.47 [7625]P1(f330(f330(f239(a930),f330(f330(f167(a930),x76251),x76252)),f330(f168(a930),x76251)))+~P1(f330(f330(f240(a930),x76252),f330(f192(f931(a930)),x76251))) % 242.40/242.47 [7666]P1(f330(f330(f240(a1),x76661),x76662))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x76661),f80(a1))),x76662)) % 242.40/242.47 [7712]P1(f330(f63(x77121),f246(f937(x77121,a925))))+~P1(f330(f63(f937(x77122,x77121)),f246(f937(f937(x77122,x77121),a925)))) % 242.40/242.47 [7713]P1(f330(f63(x77131),f246(f937(x77131,a925))))+~P1(f330(f63(f938(x77132,x77131)),f246(f937(f938(x77132,x77131),a925)))) % 242.40/242.47 [7714]P1(f330(f63(x77141),f246(f937(x77141,a925))))+~P1(f330(f63(f938(x77141,x77142)),f246(f937(f938(x77141,x77142),a925)))) % 242.40/242.47 [7753]E(x77531,f191(f937(x77532,a925)))+~P1(f330(f330(f239(f937(x77532,a925)),x77531),f330(f81(f937(x77532,a925)),x77531))) % 242.40/242.47 [7890]E(f330(f145(f931(x78901),f931(x78901),f137(x78901),f116(x78901)),x78902),f116(x78901))+P1(f330(f330(f332(f931(x78901)),f717(x78902,x78901)),f330(f175(f931(x78901)),x78902))) % 242.40/242.47 [7891]E(f330(f145(f931(x78911),f931(x78911),f137(x78911),f116(x78911)),x78912),f116(x78911))+P1(f330(f330(f332(f931(x78911)),f718(x78912,x78911)),f330(f175(f931(x78911)),x78912))) % 242.40/242.47 [8131]P1(f330(f330(f239(a1),x81311),x81312))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x81311),x81311)),f330(f330(f82(a1),x81312),x81312))) % 242.40/242.47 [8136]P1(f330(f330(f240(a1),x81361),x81362))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),x81361),x81361)),f330(f330(f82(a1),x81362),x81362))) % 242.40/242.47 [8231]~P119(x82311)+E(f330(f330(f83(x82311),f330(f330(f82(x82311),f80(x82311)),f80(x82311))),f330(f330(f6(a930,x82311),f103(x82311)),f306(a930,f80(a930),x82312))),f330(f330(f83(x82311),f330(f103(x82311),x82312)),f330(f330(f82(x82311),f330(f103(x82311),x82312)),f80(x82311)))) % 242.40/242.47 [8288]P1(f330(f330(f332(a930),x82881),x82882))+~P1(f330(f330(f332(a1),f330(f103(a1),x82881)),f330(f313(a930,a1,f103(a1)),x82882))) % 242.40/242.47 [8446]~P1(f330(f63(x84461),x84462))+E(f330(f313(a930,x84461,f905(x84462,x84461)),f330(f266(a930),f330(f330(f7(a930,a930,a925),f240(a930)),f906(x84462,x84461)))),x84462) % 242.40/242.47 [8739]P60(x87391,x87392)+P1(f330(f330(f332(f936(x87391,x87391)),f330(f330(f256(x87391,x87391),f513(x87392,x87391)),f513(x87392,x87391))),x87392)) % 242.40/242.47 [8740]P43(x87401,x87402)+P1(f330(f330(f332(f936(x87401,x87401)),f330(f330(f256(x87401,x87401),f811(x87402,x87401)),f815(x87402,x87401))),x87402)) % 242.40/242.47 [8741]P43(x87411,x87412)+P1(f330(f330(f332(f936(x87411,x87411)),f330(f330(f256(x87411,x87411),f815(x87412,x87411)),f816(x87412,x87411))),x87412)) % 242.40/242.47 [8742]P44(x87421,x87422)+P1(f330(f330(f332(f936(x87421,x87421)),f330(f330(f256(x87421,x87421),f727(x87422,x87421)),f726(x87422,x87421))),x87422)) % 242.40/242.47 [8743]P44(x87431,x87432)+P1(f330(f330(f332(f936(x87431,x87431)),f330(f330(f256(x87431,x87431),f726(x87432,x87431)),f727(x87432,x87431))),x87432)) % 242.40/242.47 [8744]P58(x87441,x87442)+P1(f330(f330(f332(f936(x87441,x87441)),f330(f330(f256(x87441,x87441),f826(x87442,x87441)),f827(x87442,x87441))),x87442)) % 242.40/242.47 [8887]~P98(x88871)+E(f330(f330(f23(x88871),f80(x88871)),f330(f106(x88871),x88872)),f330(f106(x88871),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f81(a1),x88872)))) % 242.40/242.47 [9012]~P1(f330(f330(f240(f937(a930,a925)),x90121),x90122))+P1(f330(f330(f240(f937(a1,a925)),f330(f313(a930,a1,f103(a1)),x90121)),f330(f313(a930,a1,f103(a1)),x90122))) % 242.40/242.47 [9046]~P1(f330(f330(f240(a1),x90461),x90462))+P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x90461),x90461)),a100)),f330(f330(f82(a1),x90462),x90462))) % 242.40/242.47 [9048]~P1(f330(f330(f240(a1),x90481),x90482))+P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x90481),x90481)),a100)),f330(f330(f82(a1),x90482),x90482))) % 242.40/242.47 [9121]~P1(f330(f330(f332(a930),x91211),f330(f175(a930),x91212)))+P1(f330(f330(f239(a930),x91211),f330(f145(a930,a930,f82(a930),f2(a930)),x91212))) % 242.40/242.47 [9217]P52(x92171,x92172)+~P1(f330(f330(f332(f936(x92171,x92171)),f330(f330(f256(x92171,x92171),f505(x92172,x92171)),f505(x92172,x92171))),x92172)) % 242.40/242.47 [9218]P43(x92181,x92182)+~P1(f330(f330(f332(f936(x92181,x92181)),f330(f330(f256(x92181,x92181),f811(x92182,x92181)),f816(x92182,x92181))),x92182)) % 242.40/242.47 [9219]P58(x92191,x92192)+~P1(f330(f330(f332(f936(x92191,x92191)),f330(f330(f256(x92191,x92191),f827(x92192,x92191)),f826(x92192,x92191))),x92192)) % 242.40/242.47 [9360]~P1(f330(f330(f239(f937(a1,a925)),f330(f313(a930,a1,f103(a1)),x93601)),f330(f313(a930,a1,f103(a1)),x93602)))+P1(f330(f330(f239(f937(a930,a925)),x93601),x93602)) % 242.40/242.47 [9361]~P1(f330(f330(f240(f937(a1,a925)),f330(f313(a930,a1,f103(a1)),x93611)),f330(f313(a930,a1,f103(a1)),x93612)))+P1(f330(f330(f240(f937(a930,a925)),x93611),x93612)) % 242.40/242.47 [9453]P1(f330(f330(f240(a1),x94531),x94532))+~P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x94531),x94531)),a100)),f330(f330(f82(a1),x94532),x94532))) % 242.40/242.47 [9455]P1(f330(f330(f240(a1),x94551),x94552))+~P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x94551),x94551)),a100)),f330(f330(f82(a1),x94552),x94552))) % 242.40/242.47 [10323]~P108(x103231)+E(f119(f931(x103231),f330(f132(f931(x103231)),f116(x103231)),f330(f330(f330(f99(f932(f931(x103231))),f330(f330(f240(a1),f2(a1)),x103232)),f330(f121(f936(x103231,f931(x103231)),f931(x103231),f134(x103231,f931(x103231),f135(x103231,f330(f330(f23(a1),x103232),f80(a1))),f135(f931(x103231),f330(f330(f23(a1),x103232),f80(a1))))),f330(f261(x103231,f931(x103231),f932(f931(x103231))),f330(f330(f8(f937(f931(x103231),f931(x103231)),f937(f931(x103231),f932(f931(x103231))),x103231),f330(f8(f931(x103231),f932(f931(x103231)),f931(x103231)),f132(f931(x103231)))),f154(x103231))))),f118(f931(x103231)))),f135(f931(x103231),x103232)) % 242.40/242.47 [10345]~P1(f330(f63(x103451),x103452))+E(f330(f192(f931(x103451)),f92(f931(x103451),f330(f330(f18(f931(x103451),a925,a925),f330(f330(f8(a925,f937(a925,a925),f931(x103451)),a328),f330(f330(f7(f931(x103451),f937(x103451,a925),a925),f330(f330(f8(f937(x103451,a925),f937(f937(x103451,a925),a925),f931(x103451)),a327),f175(x103451))),x103452))),f140(x103451)))),f218(x103451,x103452)) % 242.40/242.47 [6307]E(f330(f330(f82(a930),f330(f330(f23(a930),x63071),x63072)),x63072),x63071)+~P1(f330(f330(f239(a930),x63072),x63071)) % 242.40/242.47 [6379]E(f330(f330(f38(a930),f330(f330(f83(a930),x63791),x63792)),x63792),x63791)+~P1(f330(f330(f240(a930),f2(a930)),x63792)) % 242.40/242.47 [6380]E(f330(f330(f38(a930),f330(f330(f83(a930),x63801),x63802)),x63801),x63802)+~P1(f330(f330(f240(a930),f2(a930)),x63801)) % 242.40/242.47 [6384]~P74(x63841)+E(f330(f330(f6(a930,x63841),f330(f167(x63841),x63842)),f330(f305(a930,f2(a930)),f330(f192(f931(x63841)),x63842))),f330(f168(x63841),x63842)) % 242.40/242.47 [6492]E(f47(a930,f330(a115,f330(f330(f83(a930),x64921),x64922)),x64921),f80(a930))+~P1(f330(f330(f240(a930),f80(a930)),x64921)) % 242.40/242.47 [6498]E(f330(a115,f330(f330(f82(a930),f330(f106(a930),x64981)),x64982)),f330(f330(f82(a930),f80(a930)),x64982))+~P1(f330(a196,f330(f106(a1),x64981))) % 242.40/242.47 [6527]E(f330(a107,f330(f330(f248(a1),f330(f106(a1),x65271)),x65272)),f330(f330(f248(a930),f330(f106(a930),x65271)),x65272))+P1(f330(a196,f330(f106(a1),x65271))) % 242.40/242.47 [6770]E(f330(f330(f23(a930),x67701),f330(f106(a930),f330(f330(f82(a1),x67702),a100))),f330(f330(f23(a930),f330(a115,x67701)),f330(f106(a930),x67702)))+~P1(f330(f330(f240(a1),a85),x67702)) % 242.40/242.47 [6851]E(x68511,f2(a930))+E(f330(a115,f330(f330(f82(a930),f330(f330(f23(a930),x68511),f80(a930))),x68512)),f330(f330(f82(a930),x68511),x68512)) % 242.40/242.47 [6890]E(x68901,f2(a1))+P1(f330(f330(f240(a1),f2(a1)),f330(f330(f248(a1),f330(f77(a1),x68901)),x68902))) % 242.40/242.47 [6905]~E(x69052,f2(a930))+P1(f330(f330(f240(a1),f2(a1)),f330(f330(f248(a1),f330(f77(a1),x69051)),x69052))) % 242.40/242.47 [6942]E(x69421,f2(a930))+E(f330(f330(f82(a930),x69422),f330(f330(f83(a930),f330(f330(f23(a930),x69421),f80(a930))),x69422)),f330(f330(f83(a930),x69421),x69422)) % 242.40/242.47 [6987]~P1(f330(f330(f239(a1),x69871),x69872))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x69871),a100)),x69872)) % 242.40/242.47 [7113]E(f330(f330(f154(a930),x71131),f142(a930,f330(f305(a930,f330(a115,x71131)),x71132))),f142(a930,f330(f305(a930,x71131),x71132)))+~P1(f330(f330(f240(a930),x71131),x71132)) % 242.40/242.47 [7314]E(x73141,x73142)+~E(f330(f330(f23(a1),f330(f330(f82(a1),x73141),x73141)),a100),f330(f330(f23(a1),f330(f330(f82(a1),x73142),x73142)),a100)) % 242.40/242.47 [7317]E(x73171,f116(x73172))+E(f270(x73172,f330(f330(f157(x73172,f936(a102,x73172)),f330(f256(a102,x73172),f80(a102))),x73171)),f279(x73172,x73171)) % 242.40/242.47 [7554]P1(f330(f330(f239(a1),x75541),x75542))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),x75541),a100)),x75542)) % 242.40/242.47 [8032]~P1(f330(f330(f240(a930),x80321),x80322))+P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x80321),x80322)),a244)) % 242.40/242.47 [8260]~P1(f330(f330(f240(a102),f2(a102)),x82601))+P1(f330(f330(f240(a102),f330(f255(a102,f936(a102,a102)),f330(f271(x82601),x82602))),x82601)) % 242.40/242.47 [8529]~P43(x85291,x85292)+P43(x85291,f330(f330(f113(f937(f936(x85291,x85291),a925)),x85292),f310(x85291,f191(f937(f936(x85291,x85291),a925))))) % 242.40/242.47 [8530]~P44(x85301,x85302)+P44(x85301,f330(f330(f113(f937(f936(x85301,x85301),a925)),x85302),f310(x85301,f191(f937(f936(x85301,x85301),a925))))) % 242.40/242.47 [8581]~P91(x85811)+P1(f330(f330(f239(x85811),f330(f77(x85811),f330(f168(x85811),x85812))),f330(f168(x85811),f330(f330(f157(x85811,x85811),f77(x85811)),x85812)))) % 242.40/242.47 [8606]P1(f330(f330(f240(a930),x86061),x86062))+~P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x86061),x86062)),a244)) % 242.40/242.47 [8766]E(f330(f330(f256(x87661,x87661),f611(x87662,x87661)),f611(x87662,x87661)),x87662)+~P1(f330(f330(f332(f936(x87661,x87661)),x87662),f310(x87661,f191(f937(f936(x87661,x87661),a925))))) % 242.40/242.47 [8809]E(f330(f305(a930,x88091),f330(f330(f82(a930),x88091),f330(f37(a930),x88092))),x88092)+~P1(f330(f330(f239(f937(a930,a925)),x88092),f330(f305(a930,x88091),f330(f330(f82(a930),x88091),f330(f37(a930),x88092))))) % 242.40/242.47 [9039]P44(x90391,x90392)+~P44(x90391,f330(f330(f113(f937(f936(x90391,x90391),a925)),x90392),f310(x90391,f191(f937(f936(x90391,x90391),a925))))) % 242.40/242.47 [9166]E(f330(f330(f38(a1),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x91661),x91661)),a100))),f330(f106(a1),f330(f330(f82(a1),x91662),x91662))),f330(f330(f38(a1),f330(f106(a1),x91661)),f330(f106(a1),x91662)))+~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x91662))) % 242.40/242.47 [9262]~P43(x92621,x92622)+P1(f330(f330(f239(f937(f936(x92621,x92621),a925)),f330(f330(f292(x92621,x92621,x92621),x92622),x92622)),x92622)) % 242.40/242.47 [9289]E(f180(f931(x92891),f330(f330(f8(a925,a925,f931(x92891)),a325),f330(f330(f7(f931(x92891),f931(x92891),a925),a327),f116(x92891))),x92892),f182(x92891,f182(x92891,x92892)))+~P16(a930,f330(f171(a930),f330(f330(f157(f931(x92891),a930),f192(f931(x92891))),x92892))) % 242.40/242.47 [9292]E(f330(f330(f38(a1),f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x92921),x92921)),a100))),f330(f106(a1),f330(f330(f82(a1),x92922),x92922))),f330(f330(f38(a1),f330(f330(f82(a1),f330(f106(a1),x92921)),f80(a1))),f330(f106(a1),x92922)))+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x92922))) % 242.40/242.47 [10133]P1(f330(a196,x101332))+E(f330(f330(f88(a1,a930),f330(f330(f23(a1),x101331),x101332)),f330(f330(f18(a1,a930,a930),f330(f330(f7(a1,a930,f937(a930,a930)),f330(f330(f8(a925,f937(a930,f937(a930,a930)),a1),f99(a930)),a196)),f2(a930))),a107)),f330(f330(f23(a930),f330(a107,x101331)),f330(a107,x101332))) % 242.40/242.47 [10141]E(f330(f330(f88(a1,a930),f330(f106(a1),f330(f330(f82(a1),x101411),f330(f81(a1),x101412)))),f330(f330(f18(a1,a930,a930),f330(f330(f7(a1,a930,f937(a930,a930)),f330(f330(f8(a925,f937(a930,f937(a930,a930)),a1),f99(a930)),a196)),f2(a930))),a107)),f330(f330(f23(a930),f330(f106(a930),x101411)),f330(f106(a930),x101412)))+P1(f330(f330(f240(a1),x101412),a85)) % 242.40/242.47 [10142]~P30(x101421,x101422)+P1(f330(f330(f239(f937(f936(x101421,x101421),a925)),f330(f330(f292(x101421,x101421,x101421),f330(f255(f937(f936(x101421,x101421),a925),f937(f936(x101421,x101421),a925)),x101422)),f330(f260(f937(f936(x101421,x101421),a925),f937(f936(x101421,x101421),a925)),x101422))),f330(f255(f937(f936(x101421,x101421),a925),f937(f936(x101421,x101421),a925)),x101422))) % 242.40/242.47 [10198]~E(f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,f937(a930,a925),a925),f332(a930)),x101981))),f330(f330(f7(a930,a930,a925),f240(a930)),f330(a115,x101982))))),f2(a930))+~P1(f330(f330(f332(a930),f2(a930)),x101981)) % 242.40/242.47 [10253]E(f47(a1,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x102531),x102531)),a100)),f330(f106(a1),f330(f330(f82(a1),x102532),x102532))),f330(f330(f82(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f47(a1,f330(f106(a1),x102531),f330(f106(a1),x102532)))),f80(a1)))+~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x102532))) % 242.40/242.47 [10262]E(f47(a1,f330(f106(a1),f330(f330(f23(a1),f330(f330(f82(a1),x102621),x102621)),a100)),f330(f106(a1),f330(f330(f82(a1),x102622),x102622))),f330(f330(f23(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f47(a1,f330(f330(f82(a1),f330(f106(a1),x102621)),f80(a1)),f330(f106(a1),x102622)))),f80(a1)))+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x102622))) % 242.40/242.47 [10312]~P8(x103121)+E(f39(x103121,f330(f266(x103121),f330(f330(f8(f937(x103121,a925),a925,x103121),f90(x103121)),f330(f330(f8(f937(x103121,a925),f937(x103121,a925),x103121),f330(f18(x103121,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103121),a333),f330(f330(f7(x103121,f937(x103121,a925),a925),f332(x103121)),x103122)))),f239(x103121))))),f40(x103121,x103122)) % 242.40/242.47 [10338]~P42(x103381,x103382)+P66(x103381,f330(f330(f7(x103381,f937(f936(x103381,x103381),a925),f937(x103381,a925)),f330(f330(f8(f937(x103381,f937(f937(f936(x103381,x103381),a925),a925)),f937(f937(f936(x103381,x103381),a925),f937(x103381,a925)),x103381),f7(x103381,f937(f936(x103381,x103381),a925),a925)),f330(f330(f8(f937(x103381,f936(x103381,x103381)),f937(x103381,f937(f937(f936(x103381,x103381),a925),a925)),x103381),f330(f8(f936(x103381,x103381),f937(f937(f936(x103381,x103381),a925),a925),x103381),f332(f936(x103381,x103381)))),f256(x103381,x103381)))),x103382)) % 242.40/242.47 [10339]~P11(x103391,f246(f937(x103391,a925)),x103392)+P10(x103391,f330(f330(f7(x103391,f937(f936(x103391,x103391),a925),f937(x103391,a925)),f330(f330(f8(f937(x103391,f937(f937(f936(x103391,x103391),a925),a925)),f937(f937(f936(x103391,x103391),a925),f937(x103391,a925)),x103391),f7(x103391,f937(f936(x103391,x103391),a925),a925)),f330(f330(f8(f937(x103391,f936(x103391,x103391)),f937(x103391,f937(f937(f936(x103391,x103391),a925),a925)),x103391),f330(f8(f936(x103391,x103391),f937(f937(f936(x103391,x103391),a925),a925),x103391),f332(f936(x103391,x103391)))),f256(x103391,x103391)))),x103392)) % 242.40/242.47 [10383]P42(x103831,x103832)+~P66(x103831,f330(f330(f7(x103831,f937(f936(x103831,x103831),a925),f937(x103831,a925)),f330(f330(f8(f937(x103831,f937(f937(f936(x103831,x103831),a925),a925)),f937(f937(f936(x103831,x103831),a925),f937(x103831,a925)),x103831),f7(x103831,f937(f936(x103831,x103831),a925),a925)),f330(f330(f8(f937(x103831,f936(x103831,x103831)),f937(x103831,f937(f937(f936(x103831,x103831),a925),a925)),x103831),f330(f8(f936(x103831,x103831),f937(f937(f936(x103831,x103831),a925),a925),x103831),f332(f936(x103831,x103831)))),f256(x103831,x103831)))),x103832)) % 242.40/242.47 [10384]P11(x103841,f246(f937(x103841,a925)),x103842)+~P10(x103841,f330(f330(f7(x103841,f937(f936(x103841,x103841),a925),f937(x103841,a925)),f330(f330(f8(f937(x103841,f937(f937(f936(x103841,x103841),a925),a925)),f937(f937(f936(x103841,x103841),a925),f937(x103841,a925)),x103841),f7(x103841,f937(f936(x103841,x103841),a925),a925)),f330(f330(f8(f937(x103841,f936(x103841,x103841)),f937(x103841,f937(f937(f936(x103841,x103841),a925),a925)),x103841),f330(f8(f936(x103841,x103841),f937(f937(f936(x103841,x103841),a925),a925),x103841),f332(f936(x103841,x103841)))),f256(x103841,x103841)))),x103842)) % 242.40/242.47 [7502]E(f330(f330(f82(a930),f330(f106(a930),f330(f330(f23(a1),x75021),a100))),x75022),f330(a115,f330(f330(f82(a930),f330(f106(a930),x75021)),x75022)))+P1(f330(a196,f330(f106(a1),x75021))) % 242.40/242.47 [7947]~P98(x79471)+E(f330(f330(f82(x79471),f330(f330(f82(x79471),f80(x79471)),f330(f106(x79471),x79472))),f330(f106(x79471),x79472)),f330(f106(x79471),f330(f330(f23(a1),f330(f330(f82(a1),x79472),x79472)),a100))) % 242.40/242.47 [8608]~P1(f330(f330(f239(a1),x86081),x86082))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x86081),x86081)),f330(f330(f23(a1),f330(f330(f82(a1),x86082),x86082)),a100))) % 242.40/242.47 [8610]~P1(f330(f330(f239(a1),x86101),x86102))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x86101),x86101)),f330(f330(f23(a1),f330(f330(f82(a1),x86102),x86102)),a100))) % 242.40/242.47 [9050]P1(f330(f330(f239(a1),x90501),x90502))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x90501),x90501)),f330(f330(f23(a1),f330(f330(f82(a1),x90502),x90502)),a100))) % 242.40/242.47 [9052]P1(f330(f330(f239(a1),x90521),x90522))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),x90521),x90521)),f330(f330(f23(a1),f330(f330(f82(a1),x90522),x90522)),a100))) % 242.40/242.47 [9349]~P1(f330(f330(f239(a1),x93491),x93492))+P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93491),x93491)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x93492),x93492)),a100))) % 242.40/242.47 [9351]~P1(f330(f330(f240(a1),x93511),x93512))+P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x93511),x93511)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x93512),x93512)),a100))) % 242.40/242.47 [9623]P1(f330(f330(f239(a1),x96231),x96232))+~P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),x96231),x96231)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x96232),x96232)),a100))) % 242.40/242.47 [9625]P1(f330(f330(f240(a1),x96251),x96252))+~P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),x96251),x96251)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),x96252),x96252)),a100))) % 242.40/242.47 [9658]~P1(f330(f63(x96581),x96582))+P1(f330(f63(f937(x96581,a925)),f330(f266(f937(x96581,a925)),f330(f330(f7(f937(x96581,a925),f937(x96581,a925),a925),f239(f937(x96581,a925))),x96582)))) % 242.40/242.47 [9708]~E(f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),x97081),f191(f937(f936(a930,a930),a925)))),f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),x97082),f191(f937(f936(a930,a930),a925)))))+P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),x97081),x97082)),a111)) % 242.40/242.47 [9795]E(f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),x97951),f191(f937(f936(a930,a930),a925)))),f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),x97952),f191(f937(f936(a930,a930),a925)))))+~P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),x97951),x97952)),a111)) % 242.40/242.47 [9831]P1(f330(f330(f239(a1),f2(a1)),f658(x98311,x98312)))+E(f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x98311)),f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x98312))) % 242.40/242.47 [10322]~P8(x103221)+E(f40(x103221,f330(f266(x103221),f330(f330(f8(f937(x103221,a925),a925,x103221),f90(x103221)),f330(f330(f8(f937(x103221,a925),f937(x103221,a925),x103221),f330(f18(x103221,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103221),a333),f330(f330(f7(x103221,f937(x103221,a925),a925),f332(x103221)),x103222)))),f330(f7(x103221,x103221,a925),f239(x103221)))))),f39(x103221,x103222)) % 242.40/242.47 [10344]P1(f330(f330(f332(a930),f2(a930)),x103441))+E(f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),a930),f332(a930)),a115)),x103441))),f330(f330(f7(a930,a930,a925),f240(a930)),x103442)))),f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,f937(a930,a925),a925),f332(a930)),x103441))),f330(f330(f7(a930,a930,a925),f240(a930)),f330(a115,x103442)))))) % 242.40/242.47 [7817]~P98(x78171)+E(f330(f330(f83(x78171),x78172),f330(f106(x78171),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),x78172) % 242.40/242.47 [8083]~P98(x80831)+E(f330(f330(f82(x80831),f330(f106(x80831),x80832)),f80(x80831)),f330(f106(x80831),f330(f330(f82(a1),x80832),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))) % 242.40/242.47 [8229]P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x82292)))+E(f330(f330(f248(a1),x82291),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),x82292),x82292)),a100))),f80(a1)) % 242.40/242.47 [9683]~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x96832)))+E(f330(f330(f248(a1),x96831),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),x96832),x96832)),a100))),f330(f330(f88(a1,a1),f330(f330(f248(a1),x96831),f330(f106(a930),x96832))),f330(f330(f18(a1,a1,a1),f330(f330(f8(a1,f937(a1,a1),a1),f83(a1)),f330(f83(a1),x96831))),f5(a1)))) % 242.40/242.47 [10052]~P1(f330(f330(f239(a930),f672(x100522,x100521)),f330(x100521,f672(x100522,x100521))))+P1(f330(f63(a930),f330(f266(a930),f330(f330(f7(a930,a930,a925),f330(f330(f8(a930,f937(a930,a925),a930),f239(a930)),x100521)),x100522)))) % 242.40/242.47 [10188]~P1(f330(f330(f239(a930),f330(f106(a930),x101881)),f330(a115,x101882)))+P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x101881),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),f239(a930)),a107)),x101882)))) % 242.40/242.47 [10189]~P1(f330(f330(f240(a930),f330(f106(a930),x101891)),f330(a115,x101892)))+P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x101891),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),f240(a930)),a107)),x101892)))) % 242.40/242.47 [10237]P1(f330(f330(f239(a930),f330(f106(a930),x102371)),f330(a115,x102372)))+~P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x102371),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),f239(a930)),a107)),x102372)))) % 242.40/242.47 [10238]P1(f330(f330(f240(a930),f330(f106(a930),x102381)),f330(a115,x102382)))+~P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x102381),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),f240(a930)),a107)),x102382)))) % 242.40/242.47 [10268]~P1(f330(f330(f239(a930),f330(a115,x102682)),f330(f106(a930),x102681)))+P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x102681),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f8(a930,a925,a1),f330(f239(a930),x102682)),a107))))) % 242.40/242.47 [10269]~P1(f330(f330(f240(a930),f330(a115,x102692)),f330(f106(a930),x102691)))+P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x102691),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f8(a930,a925,a1),f330(f240(a930),x102692)),a107))))) % 242.40/242.47 [10310]P1(f330(f330(f239(a930),f330(a115,x103101)),f330(f106(a930),x103102)))+~P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x103102),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f8(a930,a925,a1),f330(f239(a930),x103101)),a107))))) % 242.40/242.47 [10311]P1(f330(f330(f240(a930),f330(a115,x103111)),f330(f106(a930),x103112)))+~P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x103112),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f8(a930,a925,a1),f330(f240(a930),x103111)),a107))))) % 242.40/242.47 [10393]~P1(f330(f330(f332(a930),f2(a930)),x103931))+E(f330(a115,f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,f937(a930,a925),a925),f330(f330(f8(a930,f937(f937(a930,a925),a925),a930),f332(a930)),a115)),x103931))),f330(f330(f7(a930,a930,a925),f240(a930)),x103932))))),f330(f37(a930),f330(f266(a930),f330(f330(f18(a930,a925,a925),f330(f330(f8(a925,f937(a925,a925),a930),a328),f330(f330(f7(a930,f937(a930,a925),a925),f332(a930)),x103931))),f330(f330(f7(a930,a930,a925),f240(a930)),f330(a115,x103932)))))) % 242.40/242.47 [8792]~P98(x87921)+E(f330(f330(f83(x87921),f330(f106(x87921),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),x87922),x87922) % 242.40/242.47 [8853]~P98(x88531)+E(f330(f330(f82(x88531),f80(x88531)),f330(f106(x88531),x88532)),f330(f106(x88531),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x88532))) % 242.40/242.47 [8915]~P98(x89151)+E(f330(f330(f23(x89151),f330(f106(x89151),x89152)),f80(x89151)),f330(f106(x89151),f330(f330(f82(a1),x89152),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [9069]~P1(f330(f330(f240(a930),f330(f106(a930),a85)),x90692))+E(f330(f330(f23(a930),x90691),f330(f330(f23(a930),x90692),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f23(a930),f330(a115,x90691)),x90692)) % 242.40/242.47 [9726]~P119(x97261)+E(f330(f330(f83(x97261),x97262),x97262),f330(f330(f248(x97261),x97262),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [9727]~P86(x97271)+E(f330(f330(f248(x97271),x97272),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f83(x97271),x97272),x97272)) % 242.40/242.47 [9729]~P98(x97291)+E(f330(f330(f83(x97291),x97292),f330(f106(x97291),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f82(x97291),x97292),x97292)) % 242.40/242.47 [9970]~P142(x99701)+E(f330(f330(f248(x99701),f330(f81(x99701),x99702)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f248(x99701),x99702),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [9971]~P115(x99711)+E(f330(f330(f248(x99711),f330(f77(x99711),x99712)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f248(x99711),x99712),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [9967]~P98(x99671)+E(f330(f330(f83(x99671),f330(f106(x99671),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x99672),f330(f330(f82(x99671),x99672),x99672)) % 242.40/242.47 [10085]~P115(x100851)+E(f330(f77(x100851),f330(f330(f248(x100851),x100852),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x100851),x100852),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [10149]~P115(x101491)+P1(f330(f330(f239(x101491),f2(x101491)),f330(f330(f248(x101491),x101492),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.47 [10301]~E(f330(a115,x103012),f330(f106(a930),x103011))+P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x103011),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),a327),a107)),x103012))))) % 242.40/242.47 [10302]~E(f330(f106(a930),x103021),f330(a115,x103022))+P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x103021),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),a327),a107)),x103022))))) % 242.40/242.47 [10347]E(f330(a115,x103471),f330(f106(a930),x103472))+~P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x103472),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),a327),a107)),x103471))))) % 242.40/242.47 [10348]E(f330(f106(a930),x103481),f330(a115,x103482))+~P1(f330(f330(f88(a1,a925),f330(f106(a1),f330(f330(f82(a1),x103481),a100))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a333),f330(f330(f8(a925,a925,a1),a325),a196))),f330(f330(f7(a1,a930,a925),f330(f330(f8(a930,f937(a930,a925),a1),a327),a107)),x103482))))) % 242.40/242.47 [10394]~P18(x103941,x103942)+P1(f330(f330(f332(f937(x103941,a925)),f832(x103942,x103941)),f330(f330(f8(f937(x103941,a925),a925,f937(x103941,a925)),f89(x103941)),f330(f330(f8(f937(x103941,a925),f937(x103941,a925),f937(x103941,a925)),f330(f18(x103941,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103941),a328),f330(f330(f18(x103941,x103941,a925),x103942),f5(x103941))))),f330(f330(f7(f937(x103941,a925),f937(x103941,f937(x103941,a925)),f937(x103941,a925)),f330(f330(f8(f937(f937(x103941,a925),a925),f937(f937(x103941,f937(x103941,a925)),f937(x103941,a925)),f937(x103941,a925)),f8(f937(x103941,a925),a925,x103941)),a327)),x103942))))) % 242.40/242.47 [10147]~P98(x101471)+E(f330(f330(f248(x101471),f330(f106(x101471),a100)),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101472)),f80(x101471)) % 242.40/242.47 [10148]~P142(x101481)+E(f330(f330(f248(x101481),f330(f81(x101481),f80(x101481))),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101482)),f80(x101481)) % 242.40/242.47 [10151]~P86(x101511)+E(f330(f330(f248(x101511),x101512),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),a100))),f330(f330(f83(x101511),f330(f330(f83(x101511),x101512),x101512)),x101512)) % 242.40/242.47 [10327]~P1(f330(f330(f239(a1),f2(a1)),x103272))+E(f47(a1,f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103271)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103272)),f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f47(a1,x103271,x103272)))) % 242.40/242.47 [10350]~P1(f330(f330(f239(a1),f2(a1)),x103502))+E(f330(f330(f38(a1),f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103501))),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103502)),f330(f330(f38(a1),x103501),x103502)) % 242.40/242.47 [10352]~P1(f330(f330(f239(a1),x103522),f2(a1)))+E(f330(f330(f38(a1),f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103521))),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103522)),f330(f330(f38(a1),f330(f330(f82(a1),x103521),f80(a1))),x103522)) % 242.40/242.47 [10353]~P1(f330(f330(f239(a1),x103532),f2(a1)))+E(f47(a1,f330(f330(f82(a1),f80(a1)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103531)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103532)),f330(f330(f23(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f47(a1,f330(f330(f82(a1),x103531),f80(a1)),x103532))),f80(a1))) % 242.40/242.47 [10228]~P98(x102281)+E(f330(f330(f248(x102281),f330(f106(x102281),a100)),f330(a115,f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102282))),f330(f106(x102281),a100)) % 242.40/242.47 [10230]~P142(x102301)+E(f330(f330(f248(x102301),f330(f81(x102301),f80(x102301))),f330(a115,f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102302))),f330(f81(x102301),f80(x102301))) % 242.40/242.47 [5176]P43(x51761,x51762)+~P11(x51761,x51763,x51762) % 242.40/242.47 [5178]P58(x51781,x51782)+~P11(x51781,x51783,x51782) % 242.40/242.47 [5347]~P11(x53471,x53472,x53473)+P59(x53471,x53472,x53473) % 242.40/242.47 [6362]E(x63621,x63622)+~P46(a25,x63621,x63623,x63622) % 242.40/242.47 [8303]~E(x83032,x83033)+P39(x83031,x83031,a327,x83032,x83033) % 242.40/242.47 [8866]E(x88661,x88662)+~P39(x88663,x88663,a327,x88661,x88662) % 242.40/242.47 [4984]E(f172(x49841,x49842,x49843),f116(x49841))+~E(x49842,f2(a930)) % 242.40/242.47 [5152]~E(f172(x51522,x51521,x51523),f116(x51522))+E(x51521,f2(a930)) % 242.40/242.47 [5352]~P42(x53521,x53523)+P42(x53521,f324(x53521,x53522,x53523)) % 242.40/242.47 [5461]~P34(x54611,x54612,x54613)+P36(a1,x54611,f181(x54612,x54613)) % 242.40/242.47 [5516]P31(x55161,x55162,x55163)+~P31(x55161,f330(a115,x55162),x55163) % 242.40/242.47 [5534]P34(x55341,x55342,x55343)+~P36(a1,x55341,f181(x55342,x55343)) % 242.40/242.47 [5604]~P11(x56041,x56042,x56043)+P11(f931(x56041),f164(x56041,x56042),f161(x56041,x56043)) % 242.40/242.47 [5605]~P59(x56051,x56052,x56053)+P59(f931(x56051),f164(x56051,x56052),f161(x56051,x56053)) % 242.40/242.47 [5716]P62(x57161,x57162,x57163)+~E(f584(x57163,x57162,x57161),f585(x57163,x57162,x57161)) % 242.40/242.47 [5717]P61(x57171,x57172,x57173)+~E(f597(x57173,x57172,x57171),f598(x57173,x57172,x57171)) % 242.40/242.47 [6672]P32(x66721,x66722,x66723)+~P31(x66721,f568(x66723,x66722,x66721),f575(x66723,x66722,x66721)) % 242.40/242.47 [8309]~E(x83092,x83093)+P29(x83091,x83091,f33(x83091),x83092,x83093) % 242.40/242.47 [8874]E(x88741,x88742)+~P29(x88743,x88743,f33(x88743),x88741,x88742) % 242.40/242.47 [4939]~E(f330(f171(x49392),x49391),x49393)+E(x49391,f330(f171(x49392),x49393)) % 242.40/242.47 [4940]~E(x49402,f330(f171(x49401),x49403))+E(f330(f171(x49401),x49402),x49403) % 242.40/242.47 [4990]E(x49901,x49902)+~E(f330(f171(x49903),x49901),f330(f171(x49903),x49902)) % 242.40/242.47 [5202]~P10(x52023,x52021)+P1(f330(f330(x52021,x52022),x52022)) % 242.40/242.47 [5203]~P49(x52033,x52031)+P1(f330(f330(x52031,x52032),x52032)) % 242.40/242.47 [5205]~P66(x52051,x52052)+P1(f330(f318(x52051,x52052),x52053)) % 242.40/242.47 [5269]~P42(x52691,x52692)+P42(f931(x52691),f330(f146(x52691,x52692),x52693)) % 242.40/242.47 [5274]~P1(f330(x52742,x52743))+~E(f330(f266(x52741),x52742),f191(f937(x52741,a925))) % 242.40/242.47 [5275]~P1(f330(x52752,x52753))+~E(f191(f937(x52751,a925)),f330(f266(x52751),x52752)) % 242.40/242.47 [5287]E(x52871,f2(a930))+E(f147(x52872,f172(x52872,x52871,x52873)),x52873) % 242.40/242.47 [5305]~P1(f330(x53051,x53053))+P1(f330(x53051,f92(x53052,x53051))) % 242.40/242.47 [5306]~P1(f330(x53061,x53063))+P1(f330(x53061,f758(x53061,x53062))) % 242.40/242.47 [5318]E(x53181,f2(a930))+E(f330(f144(x53182),f172(x53182,x53181,x53183)),x53183) % 242.40/242.47 [5424]~E(x54242,x54243)+P1(f330(f330(f332(x54241),x54242),f330(a327,x54243))) % 242.40/242.47 [5439]~E(x54392,f2(a930))+E(f330(f175(x54391),f172(x54391,x54392,x54393)),f191(f937(x54391,a925))) % 242.40/242.47 [5483]E(f330(f171(x54831),x54832),f330(f330(f154(x54831),x54833),f116(x54831)))+~E(x54832,f330(f330(f154(x54831),x54833),f116(x54831))) % 242.40/242.47 [5484]~E(x54843,f330(f330(f154(x54841),x54842),f116(x54841)))+E(f330(f330(f154(x54841),x54842),f116(x54841)),f330(f171(x54841),x54843)) % 242.40/242.47 [5530]~P38(x55301,x55302,x55303)+P38(x55301,x55302,f330(f171(x55301),x55303)) % 242.40/242.47 [5531]~P36(x55311,x55312,x55313)+P36(x55311,x55312,f330(f171(x55311),x55313)) % 242.40/242.47 [5535]E(f330(f37(x55351),f838(x55352,x55353,x55351)),x55352)+~E(f330(f37(x55351),x55353),f330(a115,x55352)) % 242.40/242.47 [5542]~P42(x55421,x55423)+P1(f330(f330(f332(x55421),x55422),f319(x55421,x55423))) % 242.40/242.47 [5546]~E(f330(f171(x55462),x55461),f330(f330(f154(x55462),x55463),f116(x55462)))+E(x55461,f330(f330(f154(x55462),x55463),f116(x55462))) % 242.40/242.47 [5547]~E(f330(f330(f154(x55472),x55473),f116(x55472)),f330(f171(x55472),x55471))+E(x55471,f330(f330(f154(x55472),x55473),f116(x55472))) % 242.40/242.47 [5570]E(f87(f936(a930,a930),f50(x55701,x55702)),x55703)+~P1(f330(f50(x55701,x55702),x55703)) % 242.40/242.47 [5608]P38(x56081,x56082,x56083)+~P38(x56081,x56082,f330(f171(x56081),x56083)) % 242.40/242.47 [5609]P36(x56091,x56092,x56093)+~P36(x56091,x56092,f330(f171(x56091),x56093)) % 242.40/242.47 [5647]P1(f330(f330(x56471,x56472),x56472))+~P1(f330(f274(x56473,x56471),x56472)) % 242.40/242.47 [5648]~P1(f330(f330(x56482,x56483),x56483))+P1(f330(f274(x56481,x56482),x56483)) % 242.40/242.47 [5670]~E(x56702,f116(x56701))+P1(f330(f330(f332(f931(x56701)),x56702),f164(x56701,x56703))) % 242.40/242.47 [5679]~P59(x56791,x56792,x56793)+P59(x56791,x56792,f330(f290(x56791,x56791),x56793)) % 242.40/242.47 [5680]~P62(x56801,x56802,x56803)+P62(x56801,x56802,f330(f290(x56801,x56801),x56803)) % 242.40/242.47 [5697]~P67(x56971)+E(f47(x56971,f47(x56971,x56972,x56973),x56973),f47(x56971,x56972,x56973)) % 242.40/242.47 [5798]E(x57981,x57982)+~P1(f330(f330(f332(x57983),x57981),f330(a327,x57982))) % 242.40/242.47 [5844]~P147(x58441)+E(f193(x58441,x58442,f2(a930),x58443),x58443) % 242.40/242.47 [5866]P59(x58661,x58662,x58663)+~P59(x58661,x58662,f330(f290(x58661,x58661),x58663)) % 242.40/242.47 [5867]P62(x58671,x58672,x58673)+~P62(x58671,x58672,f330(f290(x58671,x58671),x58673)) % 242.40/242.47 [5871]~P112(x58712)+E(f153(x58711,x58712,x58713,f116(x58711)),f116(x58711)) % 242.40/242.47 [5883]E(f173(x58831,x58832,f155(x58831,x58833)),f155(x58831,f173(x58831,x58832,x58833)))+~P1(f330(f140(x58831),x58833)) % 242.40/242.47 [5982]~P1(f330(f330(x59823,x59822),x59822))+P1(f330(f330(f332(x59821),x59822),f274(x59821,x59823))) % 242.40/242.47 [5984]E(f330(f139(x59841,x59842),x59843),f116(x59841))+P1(f330(x59842,f693(x59843,x59842,x59841))) % 242.40/242.47 [6043]E(f70(x60431,x60432,x60433),x60432)+P1(f330(x60433,f759(x60432,x60431,x60433))) % 242.40/242.47 [6138]~P1(f330(f140(x61381),x61382))+P1(f330(f140(x61381),f179(x61381,x61382,x61383))) % 242.40/242.47 [6139]~P1(f330(f140(x61391),x61393))+P1(f330(f140(x61391),f173(x61391,x61392,x61393))) % 242.40/242.47 [6140]~P1(f330(f140(x61401),x61403))+P1(f330(f140(x61401),f180(x61401,x61402,x61403))) % 242.40/242.47 [6141]~P1(f330(f140(x61411),x61413))+P1(f330(f140(x61411),f143(x61411,x61412,x61413))) % 242.40/242.47 [6142]~P149(x61421,x61422,x61423)+P1(f330(x61421,f47(a1,x61422,x61423))) % 242.40/242.47 [6158]~P38(x61583,x61581,x61582)+P1(f330(x61581,f771(x61582,x61581,x61583))) % 242.40/242.47 [6159]~P40(x61593,x61591,x61592)+P1(f330(x61591,f777(x61592,x61591,x61593))) % 242.40/242.47 [6160]~P40(x61603,x61601,x61602)+P1(f330(x61601,f790(x61602,x61601,x61603))) % 242.40/242.47 [6161]~P38(x61613,x61611,x61612)+P1(f330(x61611,f818(x61611,x61612,x61613))) % 242.40/242.47 [6162]~P38(x61623,x61621,x61622)+P1(f330(x61621,f820(x61622,x61621,x61623))) % 242.40/242.47 [6166]P1(f330(f330(x61661,x61662),x61662))+~P1(f330(f330(f332(x61663),x61662),f274(x61663,x61661))) % 242.40/242.47 [6182]E(f330(f139(x61821,x61822),x61823),f180(x61821,x61822,x61823))+P1(f330(x61822,f742(x61823,x61822,x61821))) % 242.40/242.47 [6223]~P1(f330(f140(x62231),x62233))+P1(f330(f140(f931(x62231)),f57(x62231,x62232,x62233))) % 242.40/242.47 [6257]~P113(x62571)+E(f330(f330(f104(f937(x62571,a925)),f330(f286(x62571),x62572)),f306(x62571,x62572,x62573)),f191(f937(x62571,a925))) % 242.40/242.47 [6258]~P113(x62581)+E(f330(f330(f104(f937(x62581,a925)),f330(f304(x62581),x62582)),f309(x62581,x62582,x62583)),f191(f937(x62581,a925))) % 242.40/242.47 [6259]~P113(x62591)+E(f330(f330(f104(f937(x62591,a925)),f330(f304(x62591),x62592)),f308(x62591,x62592,x62593)),f191(f937(x62591,a925))) % 242.40/242.47 [6488]E(f330(f139(x64881,x64882),x64883),x64883)+~P1(f330(x64882,f694(x64883,x64882,x64881))) % 242.40/242.47 [6490]E(f330(f330(f312(x64901),f843(x64902,x64903,x64901)),f838(x64902,x64903,x64901)),x64903)+~E(f330(f37(x64901),x64903),f330(a115,x64902)) % 242.40/242.47 [6505]P149(x65051,x65052,x65053)+~P1(f330(x65051,f47(a1,x65052,x65053))) % 242.40/242.47 [6554]P36(x65541,x65542,x65543)+~P1(f330(x65542,f782(x65543,x65542,x65541))) % 242.40/242.47 [6555]P36(x65551,x65552,x65553)+~P1(f330(x65552,f788(x65552,x65553,x65551))) % 242.40/242.47 [6556]P36(x65561,x65562,x65563)+~P1(f330(x65562,f789(x65563,x65562,x65561))) % 242.40/242.47 [6557]P34(x65571,x65572,x65573)+~P1(f330(x65571,f804(x65573,x65572,x65571))) % 242.40/242.47 [6558]P35(x65581,x65582,x65583)+~P1(f330(x65581,f844(x65583,x65582,x65581))) % 242.40/242.47 [6560]E(f180(x65601,x65602,x65603),x65603)+~P1(f330(x65602,f738(x65603,x65602,x65601))) % 242.40/242.47 [6640]~P1(f330(x66402,f556(x66403,x66402,x66401)))+P1(f330(f252(x66401,x66402),x66403)) % 242.40/242.47 [6641]~P1(f330(x66412,f695(x66413,x66412,x66411)))+P1(f330(f163(x66411,x66412),x66413)) % 242.40/242.47 [6891]~P1(f330(f318(x68911,x68912),f488(x68913,x68912,x68911)))+P1(f330(f318(x68911,x68912),x68913)) % 242.40/242.47 [6892]~P1(f330(f318(x68921,x68922),f516(x68923,x68922,x68921)))+P1(f330(f318(x68921,x68922),x68923)) % 242.40/242.47 [7503]~P67(x75031)+E(f330(f330(f82(x75031),f330(f330(f83(x75031),x75032),f330(f330(f38(x75031),x75033),x75032))),f47(x75031,x75033,x75032)),x75033) % 242.40/242.47 [7532]P34(x75321,x75322,x75323)+P1(f330(f330(f332(a1),f804(x75323,x75322,x75321)),f306(a1,x75322,x75323))) % 242.40/242.47 [7969]E(f330(f330(f256(x79691,x79691),f522(x79692,x79693,x79691)),f522(x79692,x79693,x79691)),x79693)+~P1(f330(f330(f332(f936(x79691,x79691)),x79693),f267(x79691,x79692))) % 242.40/242.47 [8091]~P1(f330(f330(f332(x80911),f532(x80913,x80912,x80911)),f319(x80911,x80913)))+P1(f330(f330(f332(x80911),x80912),f319(x80911,x80913))) % 242.40/242.47 [8092]~P1(f330(f330(f332(x80921),f587(x80923,x80922,x80921)),f319(x80921,x80923)))+P1(f330(f330(f332(x80921),x80922),f319(x80921,x80923))) % 242.40/242.47 [8093]~P1(f330(f330(f332(x80931),f588(x80933,x80932,x80931)),f319(x80931,x80933)))+P1(f330(f330(f332(x80931),x80932),f319(x80931,x80933))) % 242.40/242.47 [8186]P38(a1,x81861,f181(x81862,x81863))+P34(f330(f74(a925,a925,a1,a325),x81861),x81862,x81863) % 242.40/242.47 [8284]~P67(x82841)+E(f330(f330(f82(x82841),f330(f330(f83(x82841),f330(f330(f38(x82841),x82842),x82843)),x82843)),f47(x82841,x82842,x82843)),x82842) % 242.40/242.47 [8332]~E(f330(f37(x83321),x83322),f330(a115,x83323))+~P1(f330(f330(f332(x83321),f843(x83323,x83322,x83321)),f838(x83323,x83322,x83321))) % 242.40/242.47 [8784]~P38(a1,x87841,f181(x87842,x87843))+~P34(f330(f74(a925,a925,a1,a325),x87841),x87842,x87843) % 242.40/242.47 [8971]P1(f330(f330(f239(f937(f936(x89711,x89711),a925)),f310(x89711,x89712)),f310(x89711,x89713)))+~P1(f330(f330(f239(f937(f936(x89711,x89711),a925)),x89712),f310(x89711,x89713))) % 242.40/242.47 [9258]E(x92581,f116(x92582))+~P1(f330(f330(f332(f936(f931(x92582),f931(x92582))),f330(f330(f256(f931(x92582),f931(x92582)),x92581),f116(x92582))),f161(x92582,x92583))) % 242.40/242.47 [9283]E(x92831,f116(x92832))+~P1(f330(f330(f332(f936(f931(x92832),f931(x92832))),f330(f330(f256(f931(x92832),f931(x92832)),f116(x92832)),x92831)),f161(x92832,x92833))) % 242.40/242.47 [9416]E(f330(f330(f154(x94161),f711(x94162,x94163,x94161)),f712(x94162,x94163,x94161)),x94163)+~P1(f330(f330(f332(f936(f931(x94161),f931(x94161))),f330(f330(f256(f931(x94161),f931(x94161)),f116(x94161)),x94163)),f150(x94161,x94162))) % 242.40/242.47 [9651]~P128(x96511)+~P1(f330(f330(f240(x96511),f330(f330(f82(x96511),f330(f330(f83(x96511),x96512),x96512)),f330(f330(f83(x96511),x96513),x96513))),f2(x96511))) % 242.40/242.47 [9701]P1(f330(f63(x97011),x97012))+~P1(f330(f330(f332(f936(f937(x97011,a925),f937(x97011,a925))),f330(f330(f256(f937(x97011,a925),f937(x97011,a925)),x97013),x97012)),f317(x97011))) % 242.40/242.47 [9996]~P53(x99961,x99962,x99963)+P1(f330(f330(f239(a1),f330(f330(f74(f936(a1,a1),a1,x99961,f255(a1,a1)),f216(x99961)),f234(x99961,x99962,f231(x99961,x99963)))),f2(a1))) % 242.40/242.47 [9997]~P54(x99971,x99972,x99973)+P1(f330(f330(f240(a1),f330(f330(f74(f936(a1,a1),a1,x99971,f255(a1,a1)),f216(x99971)),f234(x99971,x99972,f231(x99971,x99973)))),f2(a1))) % 242.40/242.47 [10115]P54(x101151,x101152,x101153)+~P1(f330(f330(f240(a1),f330(f330(f74(f936(a1,a1),a1,x101151,f255(a1,a1)),f216(x101151)),f234(x101151,x101152,f231(x101151,x101153)))),f2(a1))) % 242.40/242.47 [10116]P53(x101161,x101162,x101163)+~P1(f330(f330(f239(a1),f330(f330(f74(f936(a1,a1),a1,x101161,f255(a1,a1)),f216(x101161)),f234(x101161,x101162,f231(x101161,x101163)))),f2(a1))) % 242.40/242.47 [10452]~P115(x104521)+~P1(f330(f330(f240(x104521),f330(f330(f82(x104521),f330(f330(f248(x104521),x104522),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x104521),x104523),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104521))) % 242.40/242.47 [4969]~E(x49693,f116(x49691))+E(f330(f330(f137(x49691),x49692),x49693),x49692) % 242.40/242.47 [4970]~E(x49702,f116(x49701))+E(f330(f330(f137(x49701),x49702),x49703),x49703) % 242.40/242.47 [4976]~E(x49762,f2(a930))+E(f330(f330(f178(x49761),x49762),x49763),f116(x49761)) % 242.40/242.47 [4985]~E(x49853,f116(x49851))+E(f330(f330(f178(x49851),x49852),x49853),f116(x49851)) % 242.40/242.47 [5024]~E(x50241,x50243)+E(x50241,f330(f330(f137(x50242),f116(x50242)),x50243)) % 242.40/242.47 [5115]~P104(x51152)+E(f330(f191(f937(x51151,x51152)),x51153),f191(x51152)) % 242.40/242.47 [5116]~P114(x51162)+E(f330(f246(f937(x51161,x51162)),x51163),f246(x51162)) % 242.40/242.47 [5134]E(x51341,f116(x51342))+~E(f330(f330(f137(x51342),x51343),x51341),x51343) % 242.40/242.47 [5135]E(x51351,f116(x51352))+~E(f330(f330(f137(x51352),x51351),x51353),x51353) % 242.40/242.47 [5143]E(x51431,f116(x51432))+~E(f330(f330(f137(x51432),x51433),x51431),f116(x51432)) % 242.40/242.47 [5144]E(x51441,f116(x51442))+~E(f330(f330(f137(x51442),x51441),x51443),f116(x51442)) % 242.40/242.47 [5169]~E(x51692,f2(a930))+E(f330(f330(f83(a930),x51691),x51692),f330(f330(f83(a930),x51693),x51692)) % 242.40/242.47 [5171]~E(x51711,f2(a930))+E(f330(f330(f83(a930),x51711),x51712),f330(f330(f83(a930),x51711),x51713)) % 242.40/242.47 [5228]~P2(x52281)+E(f330(f330(f113(x52281),x52282),x52283),f330(f330(f113(x52281),x52283),x52282)) % 242.40/242.47 [5230]~P105(x52301)+E(f330(f330(f113(x52301),x52302),x52303),f330(f330(f113(x52301),x52303),x52302)) % 242.40/242.47 [5231]~P2(x52311)+E(f330(f330(f104(x52311),x52312),x52313),f330(f330(f104(x52311),x52313),x52312)) % 242.40/242.47 [5233]~P106(x52331)+E(f330(f330(f104(x52331),x52332),x52333),f330(f330(f104(x52331),x52333),x52332)) % 242.40/242.47 [5234]~P119(x52341)+E(f330(f330(f82(x52341),x52342),x52343),f330(f330(f82(x52341),x52343),x52342)) % 242.40/242.47 [5236]~P112(x52361)+E(f330(f330(f237(x52361),x52362),x52363),f330(f330(f237(x52361),x52363),x52362)) % 242.40/242.47 [5238]~P112(x52381)+E(f330(f330(f238(x52381),x52382),x52383),f330(f330(f238(x52381),x52383),x52382)) % 242.40/242.47 [5239]~P119(x52391)+E(f330(f330(f83(x52391),x52392),x52393),f330(f330(f83(x52391),x52393),x52392)) % 242.40/242.47 [5300]E(f47(a930,x53001,x53002),f2(a930))+~E(x53001,f330(f330(f83(a930),x53002),x53003)) % 242.40/242.47 [5301]E(f47(a1,x53011,x53012),f2(a1))+~E(x53011,f330(f330(f83(a1),x53012),x53013)) % 242.40/242.47 [5364]E(x53641,x53642)+~E(f330(f330(f82(a930),x53643),x53641),f330(f330(f82(a930),x53643),x53642)) % 242.40/242.47 [5365]E(x53651,x53652)+~E(f330(f330(f82(a930),x53651),x53653),f330(f330(f82(a930),x53652),x53653)) % 242.40/242.47 [5375]~P96(x53751)+E(f330(f330(f104(x53751),x53752),f330(f81(x53751),x53753)),f330(f330(f23(x53751),x53752),x53753)) % 242.40/242.47 [5376]~P5(x53761)+E(f330(f330(f82(x53761),x53762),f330(f81(x53761),x53763)),f330(f330(f23(x53761),x53762),x53763)) % 242.40/242.47 [5377]~P6(x53771)+E(f330(f330(f82(x53771),x53772),f330(f81(x53771),x53773)),f330(f330(f23(x53771),x53772),x53773)) % 242.40/242.47 [5378]~P116(x53781)+E(f330(f330(f82(x53781),x53782),f330(f81(x53781),x53783)),f330(f330(f23(x53781),x53782),x53783)) % 242.40/242.47 [5379]~P5(x53791)+E(f330(f330(f23(x53791),x53792),f330(f81(x53791),x53793)),f330(f330(f82(x53791),x53792),x53793)) % 242.40/242.47 [5418]~P1(f330(x54183,x54182))+P1(f330(f330(f332(x54181),x54182),x54183)) % 242.40/242.47 [5420]~P74(x54202)+E(f330(f330(f6(x54201,x54202),x54203),f191(f937(x54201,a925))),f2(x54202)) % 242.40/242.47 [5422]~P80(x54222)+E(f330(f330(f9(x54221,x54222),x54223),f191(f937(x54221,a925))),f80(x54222)) % 242.40/242.47 [5473]~E(x54732,f330(f330(f82(a930),x54731),x54733))+P1(f330(f330(f239(a930),x54731),x54732)) % 242.40/242.47 [5476]~E(x54762,f191(f937(x54761,a925)))+E(f330(f330(f62(x54761),x54762),x54763),f191(f937(f937(x54761,a925),a925))) % 242.40/242.47 [5477]~E(x54772,f191(f937(x54771,a925)))+E(f191(f937(f937(x54771,a925),a925)),f330(f330(f62(x54771),x54772),x54773)) % 242.40/242.47 [5550]~E(f330(f288(x55502,x55503),x55501),f191(f937(x55503,a925)))+E(x55501,f191(f937(f936(x55502,x55503),a925))) % 242.40/242.47 [5551]~E(f330(f268(x55512,x55513),x55511),f191(f937(x55512,a925)))+E(x55511,f191(f937(f936(x55512,x55513),a925))) % 242.40/242.47 [5583]E(f330(f288(x55831,x55832),x55833),f191(f937(x55832,a925)))+~E(x55833,f191(f937(f936(x55831,x55832),a925))) % 242.40/242.47 [5584]E(f330(f268(x55841,x55842),x55843),f191(f937(x55841,a925)))+~E(x55843,f191(f937(f936(x55841,x55842),a925))) % 242.40/242.47 [5587]E(f278(x55871,x55872,x55873),f330(f330(f23(a102),x55872),x55873))+P1(f330(f330(f240(a102),x55872),x55873)) % 242.40/242.47 [5602]P1(f330(x56021,x56022))+~P1(f330(f330(f332(x56023),x56022),x56021)) % 242.40/242.47 [5640]E(x56401,x56402)+~E(f330(f81(f937(x56403,a925)),x56401),f330(f81(f937(x56403,a925)),x56402)) % 242.40/242.47 [5651]~E(x56511,f191(f937(x56512,a925)))+~P1(f330(f330(f332(x56512),x56513),x56511)) % 242.40/242.47 [5681]~E(x56812,f330(f330(f82(a1),x56811),f330(f103(a1),x56813)))+P1(f330(f330(f239(a1),x56811),x56812)) % 242.40/242.47 [5695]E(f330(f330(f312(x56951),x56952),x56953),x56953)+~P1(f330(f330(f332(x56951),x56952),x56953)) % 242.40/242.47 [5706]E(x57061,f191(f937(x57062,a925)))+~E(f330(f330(f62(x57062),x57061),x57063),f191(f937(f937(x57062,a925),a925))) % 242.40/242.47 [5707]E(x57071,f191(f937(x57072,a925)))+~E(f191(f937(f937(x57072,a925),a925)),f330(f330(f62(x57072),x57071),x57073)) % 242.40/242.47 [5713]~P126(x57131)+E(f330(f330(f83(x57131),f330(f81(x57131),x57132)),f330(f81(x57131),x57133)),f330(f330(f83(x57131),x57132),x57133)) % 242.40/242.47 [5715]~P70(x57151)+E(f330(f330(f293(x57151),f330(f81(x57151),x57152)),f330(f81(x57151),x57153)),f330(f330(f293(x57151),x57152),x57153)) % 242.40/242.47 [5747]~P1(f330(x57473,x57472))+P1(f330(f330(f332(x57471),x57472),f330(f266(x57471),x57473))) % 242.40/242.47 [5772]E(x57721,f2(a930))+E(f330(f175(x57722),f172(x57722,x57721,x57723)),f330(f330(f312(x57722),x57723),f191(f937(x57722,a925)))) % 242.40/242.47 [5791]E(f173(x57911,x57912,x57913),x57913)+P1(f330(f330(f332(x57911),x57912),f330(f175(x57911),x57913))) % 242.40/242.47 [5875]~P1(f330(f140(x58751),x58753))+P1(f330(f140(x58751),f330(f139(x58751,x58752),x58753))) % 242.40/242.47 [5918]~P67(x59181)+E(f330(f330(f38(x59181),f47(x59181,x59182,x59183)),x59183),f2(x59181)) % 242.40/242.47 [5937]E(f179(x59371,f330(f330(f154(x59371),x59372),f116(x59371)),x59373),f116(x59371))+P1(f330(f330(f332(a930),f2(a930)),x59373)) % 242.40/242.47 [5943]E(x59431,f2(a930))+E(f330(f174(x59432),f172(x59432,x59431,x59433)),f172(x59432,f330(f330(f23(a930),x59431),f80(a930)),x59433)) % 242.40/242.47 [5994]E(f330(f330(f154(x59941),x59942),x59943),f143(x59941,x59942,x59943))+P1(f330(f330(f332(x59941),x59942),f330(f175(x59941),x59943))) % 242.40/242.47 [6003]E(x60031,x60032)+~E(f330(f330(f83(a930),f330(a115,x60033)),x60031),f330(f330(f83(a930),f330(a115,x60033)),x60032)) % 242.40/242.47 [6004]~E(x60042,f330(f330(f82(a1),x60041),f330(f103(a1),f330(a115,x60043))))+P1(f330(f330(f240(a1),x60041),x60042)) % 242.40/242.47 [6067]~P35(x60671,x60672,x60673)+P36(a930,x60671,f142(a930,f330(f305(a930,x60672),x60673))) % 242.40/242.47 [6119]~E(x61193,f116(x61191))+E(f330(f330(f330(f186(f931(x61191),f931(x61191)),x61192),f170(x61191)),x61193),f116(x61191)) % 242.40/242.47 [6123]P1(f330(x61231,x61232))+~P1(f330(f330(f332(x61233),x61232),f330(f266(x61233),x61231))) % 242.40/242.47 [6153]E(x61531,x61532)+~E(f330(f330(f312(x61533),x61531),f191(f937(x61533,a925))),f330(f330(f312(x61533),x61532),f191(f937(x61533,a925)))) % 242.40/242.47 [6168]~P113(x61681)+E(f330(f330(f104(f937(x61681,a925)),f330(f286(x61681),x61682)),f330(f305(x61681,x61682),x61683)),f191(f937(x61681,a925))) % 242.40/242.47 [6208]E(f143(x62081,x62082,x62083),x62083)+~P1(f330(f330(f332(x62081),x62082),f330(f175(x62081),x62083))) % 242.40/242.47 [6231]~P83(x62311)+E(f330(f313(x62311,x62311,f81(x62311)),f330(f305(x62311,x62312),x62313)),f308(x62311,f330(f81(x62311),x62313),f330(f81(x62311),x62312))) % 242.40/242.47 [6242]E(f330(f192(f931(x62421)),f173(x62421,x62422,x62423)),f330(f192(f931(x62421)),x62423))+P1(f330(f330(f332(x62421),x62422),f330(f175(x62421),x62423))) % 242.40/242.47 [6296]~P113(x62961)+E(f330(f330(f104(f937(x62961,a925)),f330(f305(x62961,x62962),x62963)),f330(f287(x62961),x62963)),f191(f937(x62961,a925))) % 242.40/242.47 [6316]~P83(x63161)+E(f330(f313(x63161,x63161,f81(x63161)),f306(x63161,x63162,x63163)),f306(x63161,f330(f81(x63161),x63163),f330(f81(x63161),x63162))) % 242.40/242.47 [6317]~P83(x63171)+E(f330(f313(x63171,x63171,f81(x63171)),f309(x63171,x63172,x63173)),f309(x63171,f330(f81(x63171),x63173),f330(f81(x63171),x63172))) % 242.40/242.47 [6381]E(f179(x63811,f330(f330(f154(x63811),x63812),f116(x63811)),x63813),f330(f330(f154(x63811),x63812),f116(x63811)))+~P1(f330(f330(f332(a930),f2(a930)),x63813)) % 242.40/242.47 [6386]P35(x63861,x63862,x63863)+~P36(a930,x63861,f142(a930,f330(f305(a930,x63862),x63863))) % 242.40/242.47 [6389]~P83(x63891)+E(f330(f313(x63891,x63891,f81(x63891)),f308(x63891,x63892,x63893)),f330(f305(x63891,f330(f81(x63891),x63893)),f330(f81(x63891),x63892))) % 242.40/242.47 [6409]~P68(x64091)+E(f47(x64091,f330(f81(x64091),f47(x64091,x64092,x64093)),x64093),f47(x64091,f330(f81(x64091),x64092),x64093)) % 242.40/242.47 [6503]~P1(f330(f63(f936(x65032,x65031)),x65033))+P1(f330(f63(x65031),f330(f288(x65032,x65031),x65033))) % 242.40/242.47 [6504]~P1(f330(f63(f936(x65041,x65042)),x65043))+P1(f330(f63(x65041),f330(f268(x65041,x65042),x65043))) % 242.40/242.47 [6509]~P113(x65091)+E(f330(f330(f104(f937(x65091,a925)),f306(x65091,x65092,x65093)),f330(f307(x65091),x65093)),f191(f937(x65091,a925))) % 242.40/242.47 [6510]~P113(x65101)+E(f330(f330(f104(f937(x65101,a925)),f309(x65101,x65102,x65103)),f330(f287(x65101),x65103)),f191(f937(x65101,a925))) % 242.40/242.47 [6511]~P113(x65111)+E(f330(f330(f104(f937(x65111,a925)),f308(x65111,x65112,x65113)),f330(f307(x65111),x65113)),f191(f937(x65111,a925))) % 242.40/242.47 [6580]E(f330(f330(f167(x65801),x65802),f668(x65802,x65803,x65801)),x65803)+~P1(f330(f330(f332(x65801),x65803),f330(f175(x65801),x65802))) % 242.40/242.47 [6724]E(x67241,f116(x67242))+~E(f330(f330(f330(f186(f931(x67242),f931(x67242)),x67243),f170(x67242)),x67241),f116(x67242)) % 242.40/242.47 [6802]P46(x68021,x68022,f479(x68023,x68022,x68021),x68023)+~P1(f330(f330(f197(x68021),x68022),x68023)) % 242.40/242.47 [6831]~P1(f330(f63(f936(x68312,x68311)),x68313))+P1(f330(f63(f936(x68311,x68312)),f330(f290(x68312,x68311),x68313))) % 242.40/242.47 [6978]P62(x69781,x69782,x69783)+P1(f330(f330(f332(x69781),f585(x69783,x69782,x69781)),x69782)) % 242.40/242.47 [6979]P62(x69791,x69792,x69793)+P1(f330(f330(f332(x69791),f584(x69793,x69792,x69791)),x69792)) % 242.40/242.47 [6990]P1(f330(f318(x69901,x69902),x69903))+P1(f330(f330(x69902,f488(x69903,x69902,x69901)),x69903)) % 242.40/242.47 [6991]P1(f330(f318(x69911,x69912),x69913))+P1(f330(f330(x69912,f516(x69913,x69912,x69911)),x69913)) % 242.40/242.47 [7022]E(f330(f192(f931(x70221)),f173(x70221,x70222,x70223)),f330(f330(f23(a930),f330(f192(f931(x70221)),x70223)),f80(a930)))+~P1(f330(f330(f332(x70221),x70222),f330(f175(x70221),x70223))) % 242.40/242.47 [7061]P1(f330(f252(x70611,x70612),x70613))+P1(f330(f330(f332(x70611),f556(x70613,x70612,x70611)),x70613)) % 242.40/242.47 [7070]~P1(f330(f63(f936(x70702,x70701)),f330(f290(x70701,x70702),x70703)))+P1(f330(f63(f936(x70701,x70702)),x70703)) % 242.40/242.47 [7125]~P1(f330(f330(f332(x71251),x71252),f330(f175(x71251),f117(x71251,x71253))))+P1(f330(f330(f332(x71251),x71252),f330(f175(x71251),x71253))) % 242.40/242.47 [7130]P32(x71301,x71302,x71303)+P1(f330(f330(f332(f929(x71301)),f575(x71303,x71302,x71301)),x71303)) % 242.40/242.47 [7161]E(f330(f139(x71611,x71612),x71613),x71613)+P1(f330(f330(f332(x71611),f694(x71613,x71612,x71611)),f330(f175(x71611),x71613))) % 242.40/242.47 [7175]E(f330(f139(x71751,x71752),x71753),f116(x71751))+P1(f330(f330(f332(x71751),f693(x71753,x71752,x71751)),f330(f175(x71751),x71753))) % 242.40/242.47 [7200]P36(x72001,x72002,x72003)+P1(f330(f330(f332(x72001),f782(x72003,x72002,x72001)),f330(f175(x72001),x72003))) % 242.40/242.47 [7201]P36(x72011,x72012,x72013)+P1(f330(f330(f332(x72011),f789(x72013,x72012,x72011)),f330(f175(x72011),x72013))) % 242.40/242.47 [7202]P36(x72021,x72022,x72023)+P1(f330(f330(f332(x72021),f788(x72022,x72023,x72021)),f330(f175(x72021),x72023))) % 242.40/242.47 [7205]E(f180(x72051,x72052,x72053),x72053)+P1(f330(f330(f332(x72051),f738(x72053,x72052,x72051)),f330(f175(x72051),x72053))) % 242.40/242.47 [7280]P1(f330(f163(x72801,x72802),x72803))+P1(f330(f330(f332(x72801),f695(x72803,x72802,x72801)),f330(f175(x72801),x72803))) % 242.40/242.47 [7289]~P38(x72891,x72893,x72892)+P1(f330(f330(f332(x72891),f771(x72892,x72893,x72891)),f330(f175(x72891),x72892))) % 242.40/242.47 [7290]~P40(x72901,x72903,x72902)+P1(f330(f330(f332(x72901),f777(x72902,x72903,x72901)),f330(f175(x72901),x72902))) % 242.40/242.47 [7291]~P40(x72911,x72913,x72912)+P1(f330(f330(f332(x72911),f790(x72912,x72913,x72911)),f330(f175(x72911),x72912))) % 242.40/242.47 [7292]~P38(x72921,x72922,x72923)+P1(f330(f330(f332(x72921),f818(x72922,x72923,x72921)),f330(f175(x72921),x72923))) % 242.40/242.47 [7293]~P38(x72931,x72933,x72932)+P1(f330(f330(f332(x72931),f820(x72932,x72933,x72931)),f330(f175(x72931),x72932))) % 242.40/242.47 [7327]P1(f330(f330(f332(x73271),x73272),f655(x73273,x73272,x73271)))+~P1(f330(f330(f332(x73271),x73272),f39(f937(x73271,a925),x73273))) % 242.40/242.47 [7328]~P74(x73281)+E(f330(f330(f82(x73281),f330(f330(f6(a930,x73281),x73282),f330(f286(a930),x73283))),f330(x73282,x73283)),f330(f330(f6(a930,x73281),x73282),f330(f286(a930),f330(a115,x73283)))) % 242.40/242.47 [7340]P35(x73401,x73402,x73403)+P1(f330(f330(f332(a930),f844(x73403,x73402,x73401)),f330(f305(a930,x73402),x73403))) % 242.40/242.47 [7418]~P38(x74182,x74181,x74183)+P1(f330(x74181,f330(f330(f167(x74182),x74183),f774(x74183,x74181,x74182)))) % 242.40/242.47 [7430]~P1(f330(f330(f332(x74301),x74302),f649(x74302,x74303,x74301)))+P1(f330(f330(f332(x74301),x74302),f40(f937(x74301,a925),x74303))) % 242.40/242.47 [7463]~P74(x74631)+E(f330(f330(f82(x74631),f330(f330(f6(a930,x74631),x74632),f330(f304(a930),x74633))),f330(x74632,f330(a115,x74633))),f330(f330(f6(a930,x74631),x74632),f330(f304(a930),f330(a115,x74633)))) % 242.40/242.47 [7609]P1(f330(f330(f332(f931(x76091)),x76092),f164(x76091,x76093)))+P1(f330(f330(f332(x76091),f679(x76093,x76092,x76091)),f330(f175(x76091),x76092))) % 242.40/242.47 [7623]~P1(f330(f330(f332(f931(x76231)),x76232),f164(x76231,f319(x76231,x76233))))+P1(f330(f330(f332(f931(x76231)),x76232),f319(f931(x76231),f160(x76231,x76233)))) % 242.40/242.47 [7651]~P1(f330(f330(f332(f931(x76511)),x76512),f319(f931(x76511),f160(x76511,x76513))))+P1(f330(f330(f332(f931(x76511)),x76512),f164(x76511,f319(x76511,x76513)))) % 242.40/242.47 [7687]E(f330(f330(f330(f186(f931(x76871),f931(x76871)),x76872),f170(x76871)),x76873),x76873)+~P1(f330(f330(f239(a930),f330(f192(f931(x76871)),x76873)),f80(a930))) % 242.40/242.47 [7721]E(f330(f330(f137(x77211),f779(x77212,x77213,x77211)),f330(f330(f154(x77211),x77213),f780(x77212,x77213,x77211))),x77212)+~P1(f330(f330(f332(x77211),x77213),f330(f175(x77211),x77212))) % 242.40/242.47 [7722]E(f330(f330(f137(x77221),f775(x77222,x77223,x77221)),f330(f330(f154(x77221),x77223),f776(x77222,x77223,x77221))),x77222)+~P1(f330(f330(f332(x77221),x77223),f330(f175(x77221),x77222))) % 242.40/242.47 [7723]E(f330(f330(f137(x77231),f781(x77232,x77233,x77231)),f330(f330(f154(x77231),x77233),f785(x77232,x77233,x77231))),x77232)+~P1(f330(f330(f332(x77231),x77233),f330(f175(x77231),x77232))) % 242.40/242.47 [7745]~P28(x77451,x77452,x77453,f246(f937(x77451,a925)))+P28(f931(x77451),f931(x77452),f330(f157(x77451,x77452),x77453),f246(f937(f931(x77451),a925))) % 242.40/242.47 [7892]E(x78921,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x78922)),x78923)),f330(f260(a930,a930),x78922)))+~P1(f330(f50(x78921,x78923),x78922)) % 242.40/242.47 [7900]P28(x79001,x79002,x79003,f246(f937(x79001,a925)))+~P28(f931(x79001),f931(x79002),f330(f157(x79001,x79002),x79003),f246(f937(f931(x79001),a925))) % 242.40/242.47 [7943]P1(f330(f330(f332(f937(x79431,a925)),f649(x79432,x79433,x79431)),x79433))+P1(f330(f330(f332(x79431),x79432),f40(f937(x79431,a925),x79433))) % 242.40/242.47 [8035]P1(f330(f330(f332(f931(x80351)),x80352),f164(x80351,x80353)))+~P1(f330(f330(f332(x80351),f679(x80353,x80352,x80351)),x80353)) % 242.40/242.47 [8141]P36(x81411,x81412,x81413)+~P1(f330(x81412,f330(f330(f167(x81411),x81413),f784(x81413,x81412,x81411)))) % 242.40/242.47 [8165]E(x81651,x81652)+~E(f330(f330(f7(x81653,f937(x81653,a925),a925),f332(x81653)),x81651),f330(f330(f7(x81653,f937(x81653,a925),a925),f332(x81653)),x81652)) % 242.40/242.47 [8173]~P1(f330(f330(f332(f936(x81731,x81731)),x81733),f267(x81731,x81732)))+P1(f330(f330(f332(x81731),f522(x81732,x81733,x81731)),x81732)) % 242.40/242.47 [8175]~P1(f330(f330(f332(x81751),x81753),f39(f937(x81751,a925),x81752)))+P1(f330(f330(f332(f937(x81751,a925)),f655(x81752,x81753,x81751)),x81752)) % 242.40/242.47 [8304]P28(x83041,x83042,f94(x83042,x83041,f246(f937(x83042,a925)),x83043),f246(f937(x83041,a925)))+~E(f330(f313(x83042,x83041,x83043),f246(f937(x83042,a925))),f246(f937(x83041,a925))) % 242.40/242.47 [8362]~P1(f330(f330(f332(x83621),x83622),f330(f175(x83621),f775(x83623,x83622,x83621))))+~P1(f330(f330(f332(x83621),x83622),f330(f175(x83621),x83623))) % 242.40/242.47 [8363]~P1(f330(f330(f332(x83631),x83632),f330(f175(x83631),f785(x83633,x83632,x83631))))+~P1(f330(f330(f332(x83631),x83632),f330(f175(x83631),x83633))) % 242.40/242.47 [8386]P35(f330(f74(a925,a925,a930,a325),x83861),x83862,x83863)+P38(a930,x83861,f142(a930,f330(f305(a930,x83862),x83863))) % 242.40/242.47 [8552]E(x85521,f116(x85522))+P1(f330(f330(f332(x85522),f330(f255(x85522,f936(a102,a102)),f330(f279(x85522,x85521),x85523))),f330(f175(x85522),x85521))) % 242.40/242.47 [8651]~P75(x86511)+E(f330(f145(x86511,x86511,f330(f7(x86511,x86511,x86511),f82(x86511)),x86512),f330(f171(x86511),x86513)),f330(f145(x86511,x86511,f82(x86511),x86512),x86513)) % 242.40/242.47 [8854]~P28(x88542,x88541,x88543,f246(f937(x88542,a925)))+E(f330(f313(x88541,x88542,f94(x88542,x88541,f246(f937(x88542,a925)),x88543)),f246(f937(x88541,a925))),f246(f937(x88542,a925))) % 242.40/242.47 [8924]~P35(f330(f74(a925,a925,a930,a325),x89241),x89242,x89243)+~P38(a930,x89241,f142(a930,f330(f305(a930,x89242),x89243))) % 242.40/242.47 [9172]~P112(x91721)+E(f330(f175(x91721),f152(x91721,x91721,f5(x91721),x91722,x91723)),f330(f330(f312(x91721),x91722),f330(f175(x91721),x91723))) % 242.40/242.47 [9183]~E(f330(x91833,f330(f94(x91831,x91832,f246(f937(x91831,a925)),x91833),f681(x91833,x91832,x91831))),f681(x91833,x91832,x91831))+E(f330(f313(x91831,x91832,x91833),f246(f937(x91831,a925))),f246(f937(x91832,a925))) % 242.40/242.47 [9185]P1(f330(f330(f240(a930),f2(a930)),f602(x91851,x91852,x91853)))+~P1(f330(f330(f332(f936(x91853,x91853)),x91852),f330(f330(f292(x91853,x91853,x91853),x91851),f310(x91853,x91851)))) % 242.40/242.47 [9474]~P64(x94741,x94742)+~P1(f330(f330(f332(f936(x94741,x94741)),f330(f330(f256(x94741,x94741),x94743),x94743)),f330(f330(f292(x94741,x94741,x94741),x94742),f310(x94741,x94742)))) % 242.40/242.47 [9606]~E(f330(f330(f104(f937(f936(x96061,x96061),a925)),f330(f290(x96061,x96061),x96062)),f310(x96061,x96062)),f191(f937(f936(x96061,x96061),a925)))+~P1(f330(f330(f332(f936(x96061,x96061)),f330(f330(f256(x96061,x96061),x96063),x96063)),f330(f330(f292(x96061,x96061,x96061),x96062),f310(x96061,x96062)))) % 242.40/242.47 [9788]~P1(f330(f63(x97881),x97882))+P1(f330(f330(f239(a930),f330(f37(x97881),f330(f330(f23(f937(x97881,a925)),x97882),f330(f330(f312(x97881),x97883),f191(f937(x97881,a925)))))),f330(f37(x97881),x97882))) % 242.40/242.47 [5289]~E(x52893,f116(x52891))+E(f147(x52891,f330(f330(f154(x52891),x52892),x52893)),x52892) % 242.40/242.47 [5297]~E(x52973,f116(x52971))+E(f117(x52971,f330(f330(f154(x52971),x52972),x52973)),f116(x52971)) % 242.40/242.47 [5327]E(x53271,f116(x53272))+E(f147(x53272,f330(f330(f154(x53272),x53273),x53271)),f147(x53272,x53271)) % 242.40/242.47 [5329]E(x53291,f116(x53292))+E(f147(x53292,f330(f330(f137(x53292),x53293),x53291)),f147(x53292,x53291)) % 242.40/242.47 [5334]~E(x53343,f116(x53341))+E(f117(x53341,f330(f330(f137(x53341),x53342),x53343)),f117(x53341,x53342)) % 242.40/242.47 [5336]~E(x53363,f116(x53361))+E(f147(x53361,f330(f330(f137(x53361),x53362),x53363)),f147(x53361,x53362)) % 242.40/242.47 [5369]E(x53691,f116(x53692))+E(f330(f144(x53692),f330(f330(f137(x53692),x53691),x53693)),f330(f144(x53692),x53691)) % 242.40/242.47 [5398]~E(x53982,f116(x53981))+E(f330(f144(x53981),f330(f330(f137(x53981),x53982),x53983)),f330(f144(x53981),x53983)) % 242.40/242.47 [5449]~P2(x54491)+E(f330(f330(f113(x54491),x54492),f330(f330(f104(x54491),x54492),x54493)),x54492) % 242.40/242.47 [5450]~P2(x54501)+E(f330(f330(f104(x54501),x54502),f330(f330(f113(x54501),x54502),x54503)),x54502) % 242.40/242.47 [5451]~P112(x54511)+E(f330(f330(f237(x54511),x54512),f330(f330(f238(x54511),x54512),x54513)),x54512) % 242.40/242.47 [5452]~P112(x54521)+E(f330(f330(f238(x54521),x54522),f330(f330(f237(x54521),x54522),x54523)),x54522) % 242.40/242.47 [5471]~P67(x54711)+E(f47(x54711,f330(f330(f83(x54711),x54712),x54713),x54713),f2(x54711)) % 242.40/242.47 [5472]~P67(x54721)+E(f47(x54721,f330(f330(f83(x54721),x54722),x54723),x54722),f2(x54721)) % 242.40/242.47 [5545]~P6(x55451)+E(f330(f81(x55451),f330(f330(f23(x55451),x55452),x55453)),f330(f330(f23(x55451),x55453),x55452)) % 242.40/242.47 [5606]E(x56061,f116(x56062))+E(f117(x56062,f330(f330(f154(x56062),x56063),x56061)),f330(f330(f154(x56062),x56063),f117(x56062,x56061))) % 242.40/242.47 [5607]E(x56071,f116(x56072))+E(f117(x56072,f330(f330(f137(x56072),x56073),x56071)),f330(f330(f137(x56072),x56073),f117(x56072,x56071))) % 242.40/242.47 [5610]~P8(x56101)+E(f40(x56101,f330(f330(f312(x56101),x56102),x56103)),f330(f330(f104(x56101),x56102),f40(x56101,x56103))) % 242.40/242.47 [5611]~P8(x56111)+E(f39(x56111,f330(f330(f312(x56111),x56112),x56113)),f330(f330(f113(x56111),x56112),f39(x56111,x56113))) % 242.40/242.47 [5656]~P2(x56561)+E(f330(f330(f113(x56561),x56562),f330(f330(f113(x56561),x56562),x56563)),f330(f330(f113(x56561),x56562),x56563)) % 242.40/242.47 [5658]~P105(x56581)+E(f330(f330(f113(x56581),x56582),f330(f330(f113(x56581),x56582),x56583)),f330(f330(f113(x56581),x56582),x56583)) % 242.40/242.47 [5659]~P2(x56591)+E(f330(f330(f104(x56591),x56592),f330(f330(f104(x56591),x56592),x56593)),f330(f330(f104(x56591),x56592),x56593)) % 242.40/242.47 [5661]~P106(x56611)+E(f330(f330(f104(x56611),x56612),f330(f330(f104(x56611),x56612),x56613)),f330(f330(f104(x56611),x56612),x56613)) % 242.40/242.47 [5663]~P112(x56631)+E(f330(f330(f237(x56631),x56632),f330(f330(f237(x56631),x56632),x56633)),f330(f330(f237(x56631),x56632),x56633)) % 242.40/242.47 [5665]~P112(x56651)+E(f330(f330(f238(x56651),x56652),f330(f330(f238(x56651),x56652),x56653)),f330(f330(f238(x56651),x56652),x56653)) % 242.40/242.47 [5666]~P100(x56661)+E(f330(f330(f83(x56661),x56662),f330(f330(f83(x56661),x56662),x56663)),f330(f330(f83(x56661),x56662),x56663)) % 242.40/242.47 [5673]~P67(x56731)+E(f47(x56731,f330(f330(f82(x56731),x56732),x56733),x56733),f47(x56731,x56732,x56733)) % 242.40/242.47 [5674]~P67(x56741)+E(f47(x56741,f330(f330(f82(x56741),x56742),x56743),x56742),f47(x56741,x56743,x56742)) % 242.40/242.47 [5682]~P126(x56821)+E(f330(f330(f83(x56821),x56822),f330(f81(x56821),x56823)),f330(f81(x56821),f330(f330(f83(x56821),x56822),x56823))) % 242.40/242.47 [5683]~P70(x56831)+E(f330(f330(f293(x56831),x56832),f330(f81(x56831),x56833)),f330(f81(x56831),f330(f330(f293(x56831),x56832),x56833))) % 242.40/242.47 [5684]~P85(x56841)+E(f330(f330(f82(x56841),x56842),f330(f168(x56841),x56843)),f330(f168(x56841),f330(f330(f154(x56841),x56842),x56843))) % 242.40/242.47 [5712]~P126(x57121)+E(f330(f330(f83(x57121),f330(f81(x57121),x57122)),x57123),f330(f330(f83(x57121),x57122),f330(f81(x57121),x57123))) % 242.40/242.47 [5718]~P11(x57181,x57182,x57183)+E(f39(f937(x57181,a925),f330(f330(f62(x57181),x57182),x57183)),x57182) % 242.40/242.47 [5783]~P117(x57831)+E(f330(f330(f83(x57831),x57832),f330(f330(f248(x57831),x57832),x57833)),f330(f330(f248(x57831),x57832),f330(a115,x57833))) % 242.40/242.47 [5784]~P119(x57841)+E(f330(f330(f83(x57841),x57842),f330(f330(f248(x57841),x57842),x57843)),f330(f330(f248(x57841),x57842),f330(a115,x57843))) % 242.40/242.47 [5794]~P5(x57941)+E(f330(f330(f82(x57941),f330(f81(x57941),x57942)),f330(f330(f82(x57941),x57942),x57943)),x57943) % 242.40/242.47 [5817]~P147(x58171)+E(f330(f330(f248(x58171),f330(f103(x58171),x58172)),x58173),f330(f103(x58171),f330(f330(f248(a930),x58172),x58173))) % 242.40/242.47 [5818]~P142(x58181)+E(f330(f330(f248(x58181),f330(f105(x58181),x58182)),x58183),f330(f105(x58181),f330(f330(f248(a1),x58182),x58183))) % 242.40/242.47 [5824]~P91(x58241)+E(f330(f77(x58241),f330(f330(f23(x58241),x58242),x58243)),f330(f77(x58241),f330(f330(f23(x58241),x58243),x58242))) % 242.40/242.47 [5826]~P115(x58261)+E(f330(f330(f83(x58261),f84(x58261,x58262)),f84(x58261,x58263)),f84(x58261,f330(f330(f83(x58261),x58262),x58263))) % 242.40/242.47 [5830]E(x58301,f116(x58302))+E(f330(f330(f137(x58302),f330(f174(x58302),x58301)),x58303),f330(f174(x58302),f330(f330(f137(x58302),x58301),x58303))) % 242.40/242.47 [5835]~E(x58352,f330(a115,f330(f330(f82(a930),x58351),x58353)))+P1(f330(f330(f240(a930),x58351),x58352)) % 242.40/242.47 [5836]~P126(x58361)+E(f330(f330(f83(x58361),f330(f81(x58361),x58362)),x58363),f330(f81(x58361),f330(f330(f83(x58361),x58362),x58363))) % 242.40/242.47 [5837]~P122(x58371)+E(f330(f330(f293(x58371),f330(f81(x58371),x58372)),x58373),f330(f81(x58371),f330(f330(f293(x58371),x58372),x58373))) % 242.40/242.47 [5838]~P115(x58381)+E(f330(f330(f248(x58381),f330(f77(x58381),x58382)),x58383),f330(f77(x58381),f330(f330(f248(x58381),x58382),x58383))) % 242.40/242.47 [5936]E(f586(x59361,x59362,x59363),f599(x59361,x59362,x59363))+E(f330(f330(f104(f937(x59363,a925)),x59362),x59361),f191(f937(x59363,a925))) % 242.40/242.47 [5951]~P74(x59512)+E(f330(f330(f6(x59511,x59512),f330(f16(x59512,x59511),f2(x59512))),x59513),f2(x59512)) % 242.40/242.47 [5952]~P80(x59522)+E(f330(f330(f9(x59521,x59522),f330(f16(x59522,x59521),f80(x59522))),x59523),f80(x59522)) % 242.40/242.47 [5954]~P147(x59541)+E(f330(f330(f82(x59541),f330(f103(x59541),x59542)),f330(f103(x59541),x59543)),f330(f103(x59541),f330(f330(f82(a930),x59542),x59543))) % 242.40/242.47 [5955]~P147(x59551)+E(f330(f330(f83(x59551),f330(f103(x59551),x59552)),f330(f103(x59551),x59553)),f330(f103(x59551),f330(f330(f83(a930),x59552),x59553))) % 242.40/242.47 [5956]~P142(x59561)+E(f330(f330(f23(x59561),f330(f105(x59561),x59562)),f330(f105(x59561),x59563)),f330(f105(x59561),f330(f330(f23(a1),x59562),x59563))) % 242.40/242.47 [5957]~P142(x59571)+E(f330(f330(f82(x59571),f330(f105(x59571),x59572)),f330(f105(x59571),x59573)),f330(f105(x59571),f330(f330(f82(a1),x59572),x59573))) % 242.40/242.47 [5958]~P142(x59581)+E(f330(f330(f83(x59581),f330(f105(x59581),x59582)),f330(f105(x59581),x59583)),f330(f105(x59581),f330(f330(f83(a1),x59582),x59583))) % 242.40/242.47 [5959]~P98(x59591)+E(f330(f330(f23(x59591),f330(f106(x59591),x59592)),f330(f106(x59591),x59593)),f330(f106(x59591),f330(f330(f23(a1),x59592),x59593))) % 242.40/242.47 [5962]~P98(x59621)+E(f330(f330(f82(x59621),f330(f106(x59621),x59622)),f330(f106(x59621),x59623)),f330(f106(x59621),f330(f330(f82(a1),x59622),x59623))) % 242.40/242.47 [5963]~P98(x59631)+E(f330(f330(f83(x59631),f330(f106(x59631),x59632)),f330(f106(x59631),x59633)),f330(f106(x59631),f330(f330(f83(a1),x59632),x59633))) % 242.40/242.47 [6011]~E(x60113,x60112)+P1(f330(f330(f239(f937(x60111,a925)),x60112),x60113)) % 242.40/242.47 [6017]~E(x60172,x60173)+P1(f330(f330(f239(f937(x60171,a925)),x60172),x60173)) % 242.40/242.47 [6022]~P96(x60221)+E(f330(f330(f104(x60221),f330(f81(x60221),x60222)),f330(f81(x60221),x60223)),f330(f81(x60221),f330(f330(f113(x60221),x60222),x60223))) % 242.40/242.47 [6023]~P96(x60231)+E(f330(f330(f113(x60231),f330(f81(x60231),x60232)),f330(f81(x60231),x60233)),f330(f81(x60231),f330(f330(f104(x60231),x60232),x60233))) % 242.40/242.47 [6024]~P5(x60241)+E(f330(f330(f82(x60241),f330(f81(x60241),x60242)),f330(f81(x60241),x60243)),f330(f81(x60241),f330(f330(f82(x60241),x60243),x60242))) % 242.40/242.47 [6025]~P6(x60251)+E(f330(f330(f82(x60251),f330(f81(x60251),x60252)),f330(f81(x60251),x60253)),f330(f81(x60251),f330(f330(f82(x60251),x60252),x60253))) % 242.40/242.47 [6026]~P81(x60261)+E(f330(f330(f238(x60261),f330(f81(x60261),x60262)),f330(f81(x60261),x60263)),f330(f81(x60261),f330(f330(f237(x60261),x60262),x60263))) % 242.40/242.47 [6027]~P81(x60271)+E(f330(f330(f237(x60271),f330(f81(x60271),x60272)),f330(f81(x60271),x60273)),f330(f81(x60271),f330(f330(f238(x60271),x60272),x60273))) % 242.40/242.47 [6028]~P115(x60281)+E(f330(f330(f83(x60281),f330(f77(x60281),x60282)),f330(f77(x60281),x60283)),f330(f77(x60281),f330(f330(f83(x60281),x60282),x60283))) % 242.40/242.47 [6029]~P72(x60291)+E(f330(f330(f293(x60291),f330(f77(x60291),x60292)),f330(f77(x60291),x60293)),f330(f77(x60291),f330(f330(f293(x60291),x60292),x60293))) % 242.40/242.47 [6030]~P85(x60301)+E(f330(f330(f82(x60301),f330(f168(x60301),x60302)),f330(f168(x60301),x60303)),f330(f168(x60301),f330(f330(f137(x60301),x60302),x60303))) % 242.40/242.47 [6031]E(x60311,f191(f937(x60312,a925)))+~E(f330(f330(f113(f937(x60312,a925)),x60313),x60311),f191(f937(x60312,a925))) % 242.40/242.47 [6032]E(x60321,f191(f937(x60322,a925)))+~E(f330(f330(f113(f937(x60322,a925)),x60321),x60323),f191(f937(x60322,a925))) % 242.40/242.47 [6033]~P150(x60331,x60332,x60333)+P1(f330(x60331,f330(f330(f38(a1),x60332),x60333))) % 242.40/242.47 [6092]~P1(f330(f63(x60921),x60923))+P1(f330(f63(x60921),f330(f330(f312(x60921),x60922),x60923))) % 242.40/242.47 [6093]~P1(f330(f140(x60931),x60933))+P1(f330(f140(x60931),f330(f330(f178(x60931),x60932),x60933))) % 242.40/242.47 [6094]~P1(f330(f140(x60941),x60943))+P1(f330(f140(x60941),f330(f330(f141(x60941),x60942),x60943))) % 242.40/242.47 [6124]~P2(x61241)+P1(f330(f330(f239(x61241),x61242),f330(f330(f113(x61241),x61243),x61242))) % 242.40/242.47 [6125]~P105(x61251)+P1(f330(f330(f239(x61251),x61252),f330(f330(f113(x61251),x61253),x61252))) % 242.40/242.47 [6126]~P2(x61261)+P1(f330(f330(f239(x61261),x61262),f330(f330(f113(x61261),x61262),x61263))) % 242.40/242.47 [6127]~P105(x61271)+P1(f330(f330(f239(x61271),x61272),f330(f330(f113(x61271),x61272),x61273))) % 242.40/242.47 [6128]~P112(x61281)+P1(f330(f330(f239(x61281),x61282),f330(f330(f238(x61281),x61283),x61282))) % 242.40/242.47 [6129]~P112(x61291)+P1(f330(f330(f239(x61291),x61292),f330(f330(f238(x61291),x61292),x61293))) % 242.40/242.47 [6143]~E(x61431,f2(a930))+E(f330(f330(f38(a930),f330(f330(f83(a930),x61431),x61432)),f330(f330(f83(a930),x61431),x61433)),f2(a930)) % 242.40/242.47 [6211]P1(f330(x62111,x62112))+P1(f330(f330(f197(f31(x62111,x62113)),x62112),x62112)) % 242.40/242.47 [6225]~P98(x62251)+E(f330(f330(f23(x62251),f330(f106(x62251),x62252)),f330(f106(x62251),x62253)),f330(f106(x62251),f330(f330(f82(a1),x62252),f330(f81(a1),x62253)))) % 242.40/242.47 [6283]E(x62831,f2(a930))+E(f330(f330(f38(a930),f330(f330(f83(a930),x62831),x62832)),f330(f330(f83(a930),x62831),x62833)),f330(f330(f38(a930),x62832),x62833)) % 242.40/242.47 [6314]E(f155(x63141,f330(f330(f154(x63141),x63142),x63143)),f330(f330(f154(x63141),x63142),f155(x63141,x63143)))+P1(f330(f330(f332(x63141),x63142),f330(f175(x63141),x63143))) % 242.40/242.47 [6350]P150(x63501,x63502,x63503)+~P1(f330(x63501,f330(f330(f38(a1),x63502),x63503))) % 242.40/242.47 [6422]E(x64221,f116(x64222))+E(f330(f330(f154(x64222),f330(f144(x64222),x64221)),f330(f330(f178(x64222),x64223),f330(f174(x64222),x64221))),f330(f330(f178(x64222),f330(a115,x64223)),x64221)) % 242.40/242.47 [6429]E(f330(f330(f23(f937(x64291,a925)),x64292),x64293),x64292)+~E(f330(f330(f104(f937(x64291,a925)),x64292),x64293),f191(f937(x64291,a925))) % 242.40/242.47 [6443]E(f155(x64431,f330(f330(f154(x64431),x64432),x64433)),f155(x64431,x64433))+~P1(f330(f330(f332(x64431),x64432),f330(f175(x64431),x64433))) % 242.40/242.47 [6473]~P1(f330(f330(f239(a930),x64731),x64733))+P1(f330(f330(f239(a930),x64731),f330(f330(f82(a930),x64732),x64733))) % 242.40/242.47 [6475]~P1(f330(f330(f239(a930),x64751),x64752))+P1(f330(f330(f239(a930),x64751),f330(f330(f82(a930),x64752),x64753))) % 242.40/242.47 [6477]~P1(f330(f330(f240(a930),x64771),x64773))+P1(f330(f330(f240(a930),x64771),f330(f330(f82(a930),x64772),x64773))) % 242.40/242.47 [6479]~P1(f330(f330(f240(a930),x64791),x64792))+P1(f330(f330(f240(a930),x64791),f330(f330(f82(a930),x64792),x64793))) % 242.40/242.47 [6517]P1(f330(f63(x65171),x65172))+~P1(f330(f63(x65171),f330(f330(f312(x65171),x65173),x65172))) % 242.40/242.47 [6518]P1(f330(f140(x65181),x65182))+~P1(f330(f140(x65181),f330(f330(f154(x65181),x65183),x65182))) % 242.40/242.47 [6519]P1(f330(f140(x65191),x65192))+~P1(f330(f140(x65191),f330(f330(f137(x65191),x65193),x65192))) % 242.40/242.47 [6520]P1(f330(f140(x65201),x65202))+~P1(f330(f140(x65201),f330(f330(f137(x65201),x65202),x65203))) % 242.40/242.47 [6570]~P119(x65701)+E(f330(f330(f82(x65701),x65702),f330(f330(f83(x65701),x65703),x65702)),f330(f330(f83(x65701),f330(f330(f82(x65701),x65703),f80(x65701))),x65702)) % 242.40/242.47 [6616]~E(x66161,x66162)+~P1(f330(f330(f240(f937(x66163,a925)),x66161),x66162)) % 242.40/242.47 [6663]P1(f330(f330(f332(x66631),x66632),x66633))+P1(f330(f330(f332(x66631),x66632),f330(f81(f937(x66631,a925)),x66633))) % 242.40/242.47 [6669]E(f147(x66691,f330(f330(f141(x66691),x66692),x66693)),f147(x66691,x66693))+~P1(f330(f330(f240(a930),x66692),f330(f192(f931(x66691)),x66693))) % 242.40/242.47 [6670]E(f330(f330(f178(x66701),x66702),f117(x66701,x66703)),f330(f330(f178(x66701),x66702),x66703))+~P1(f330(f330(f240(a930),x66702),f330(f192(f931(x66701)),x66703))) % 242.40/242.47 [6726]E(f330(f330(f330(f186(f931(x67261),f931(x67261)),x67262),f170(x67261)),x67263),x67263)+~E(f47(a930,x67262,f330(f192(f931(x67261)),x67263)),f2(a930)) % 242.40/242.47 [6735]~P11(x67351,x67353,x67352)+E(f330(f330(f292(x67351,x67351,x67351),f330(f290(x67351,x67351),x67352)),x67352),x67352) % 242.40/242.47 [6777]~E(f330(f330(f113(f937(x67771,a925)),x67772),x67773),x67773)+P1(f330(f330(f239(f937(x67771,a925)),x67772),x67773)) % 242.40/242.47 [6782]~P61(x67821,x67821,x67823)+P61(x67821,x67821,f330(f330(f186(f936(x67821,x67821),a925),x67822),x67823)) % 242.40/242.47 [6786]~P1(f330(f330(f332(x67861),x67863),f330(f175(x67861),x67862)))+P1(f330(f330(f240(a930),f2(a930)),f330(f192(f931(x67861)),x67862))) % 242.40/242.47 [6813]~P91(x68131)+E(f330(f77(x68131),f330(f330(f82(x68131),f330(f77(x68131),x68132)),f330(f77(x68131),x68133))),f330(f330(f82(x68131),f330(f77(x68131),x68132)),f330(f77(x68131),x68133))) % 242.40/242.47 [6824]E(f330(f330(f38(a930),f330(f330(f83(a930),x68241),x68242)),f330(f330(f83(a930),x68241),x68243)),f330(f330(f38(a930),x68242),x68243))+~P1(f330(f330(f240(a930),f2(a930)),x68241)) % 242.40/242.47 [6959]~P1(f330(f63(x69591),x69593))+E(f330(f330(f66(x69591,f937(x69591,a925),f312(x69591)),x69592),x69593),f330(f330(f113(f937(x69591,a925)),x69593),x69592)) % 242.40/242.47 [7015]E(f330(f330(f113(f937(x70151,a925)),x70152),x70153),x70152)+~P1(f330(f330(f239(f937(x70151,a925)),x70153),x70152)) % 242.40/242.47 [7017]E(f330(f330(f113(f937(x70171,a925)),x70172),x70173),x70173)+~P1(f330(f330(f239(f937(x70171,a925)),x70172),x70173)) % 242.40/242.47 [7018]E(f330(f330(f104(f937(x70181,a925)),x70182),x70183),x70183)+~P1(f330(f330(f239(f937(x70181,a925)),x70183),x70182)) % 242.40/242.47 [7019]E(f330(f330(f104(f937(x70191,a925)),x70192),x70193),x70192)+~P1(f330(f330(f239(f937(x70191,a925)),x70192),x70193)) % 242.40/242.47 [7068]~P1(f330(f140(x70681),x70682))+E(f330(f330(f23(f937(x70681,a925)),f330(f175(x70681),x70682)),f330(f330(f312(x70681),x70683),f191(f937(x70681,a925)))),f330(f175(x70681),f173(x70681,x70683,x70682))) % 242.40/242.47 [7120]P42(x71201,x71202)+~P42(x71201,f330(f330(f186(f936(x71201,x71201),a925),x71203),x71202)) % 242.40/242.47 [7188]P1(f330(f51(x71881,x71882),f330(a53,x71883)))+~P1(f330(f51(f330(f81(a1),x71881),f330(f81(a1),x71882)),x71883)) % 242.40/242.47 [7193]E(f330(f330(f23(f937(x71931,a925)),f330(f330(f312(x71931),x71932),x71933)),f330(f330(f312(x71931),x71932),f191(f937(x71931,a925)))),x71933)+P1(f330(f330(f332(x71931),x71932),x71933)) % 242.40/242.47 [7214]E(f330(f330(f104(f937(x72141,a925)),f330(f175(x72141),x72142)),f330(f175(x72141),x72143)),f191(f937(x72141,a925)))+~P1(f330(f140(x72141),f330(f330(f137(x72141),x72142),x72143))) % 242.40/242.47 [7229]~P1(f330(f330(f332(x72291),x72292),f330(f175(x72291),x72293)))+~P1(f330(f140(x72291),f330(f330(f154(x72291),x72292),x72293))) % 242.40/242.47 [7299]P36(x72991,x72992,x72993)+P1(f330(f330(f240(a930),f784(x72993,x72992,x72991)),f330(f192(f931(x72991)),x72993))) % 242.40/242.47 [7309]E(f330(f330(f104(f937(x73091,a925)),x73092),x73093),f191(f937(x73091,a925)))+P1(f330(f330(f332(x73091),f586(x73093,x73092,x73091)),x73092)) % 242.40/242.47 [7310]E(f330(f330(f104(f937(x73101,a925)),x73102),x73103),f191(f937(x73101,a925)))+P1(f330(f330(f332(x73101),f599(x73103,x73102,x73101)),x73103)) % 242.40/242.47 [7313]E(f117(x73131,f330(f330(f178(x73131),x73132),x73133)),f330(f330(f178(x73131),f330(f330(f23(a930),x73132),f80(a930))),x73133))+~P1(f330(f330(f239(a930),x73132),f330(f192(f931(x73131)),x73133))) % 242.40/242.47 [7373]~P38(x73733,x73732,x73731)+P1(f330(f330(f240(a930),f774(x73731,x73732,x73733)),f330(f192(f931(x73733)),x73731))) % 242.40/242.47 [7391]P1(f330(f330(f240(a930),f2(a930)),x73911))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x73912),x73911)),f330(f330(f83(a930),x73913),x73911))) % 242.40/242.47 [7392]P1(f330(f330(f240(a930),f2(a930)),x73921))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x73921),x73922)),f330(f330(f83(a930),x73921),x73923))) % 242.40/242.47 [7395]~P1(f330(f330(f332(x73951),x73952),x73953))+~P1(f330(f330(f332(x73951),x73952),f330(f81(f937(x73951,a925)),x73953))) % 242.40/242.47 [7401]~P1(f330(f330(f240(f937(x74011,a925)),x74012),x74013))+P1(f330(f330(f239(f937(x74011,a925)),x74012),x74013)) % 242.40/242.47 [7511]~P1(f330(f330(f239(a930),x75113),x75112))+P1(f330(f330(f239(a930),f330(f330(f23(a930),x75111),x75112)),f330(f330(f23(a930),x75111),x75113))) % 242.40/242.47 [7512]~P1(f330(f330(f239(a930),x75121),x75123))+P1(f330(f330(f239(a930),f330(f330(f23(a930),x75121),x75122)),f330(f330(f23(a930),x75123),x75122))) % 242.40/242.47 [7513]~P1(f330(f330(f239(a930),x75132),x75133))+P1(f330(f330(f239(a930),f330(f330(f82(a930),x75131),x75132)),f330(f330(f82(a930),x75131),x75133))) % 242.40/242.47 [7514]~P1(f330(f330(f239(a930),x75141),x75143))+P1(f330(f330(f239(a930),f330(f330(f82(a930),x75141),x75142)),f330(f330(f82(a930),x75143),x75142))) % 242.40/242.47 [7516]~P1(f330(f330(f239(a930),x75162),x75163))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x75161),x75162)),f330(f330(f83(a930),x75161),x75163))) % 242.40/242.47 [7518]~P1(f330(f330(f239(a930),x75181),x75183))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x75181),x75182)),f330(f330(f83(a930),x75183),x75182))) % 242.40/242.47 [7519]~P1(f330(f330(f239(a930),x75191),x75193))+P1(f330(f330(f239(a930),f330(f330(f38(a930),x75191),x75192)),f330(f330(f38(a930),x75193),x75192))) % 242.40/242.47 [7520]~P1(f330(f330(f239(a1),x75202),x75203))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x75201),x75202)),f330(f330(f82(a1),x75201),x75203))) % 242.40/242.47 [7523]~P1(f330(f330(f240(a930),x75232),x75233))+P1(f330(f330(f240(a930),f330(f330(f82(a930),x75231),x75232)),f330(f330(f82(a930),x75231),x75233))) % 242.40/242.47 [7524]~P1(f330(f330(f240(a930),x75241),x75243))+P1(f330(f330(f240(a930),f330(f330(f82(a930),x75241),x75242)),f330(f330(f82(a930),x75243),x75242))) % 242.40/242.47 [7525]~P1(f330(f330(f240(a1),x75251),x75253))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x75251),x75252)),f330(f330(f82(a1),x75253),x75252))) % 242.40/242.47 [7608]E(x76081,x76082)+~P1(f330(f330(f332(x76083),x76081),f330(f330(f312(x76083),x76082),f191(f937(x76083,a925))))) % 242.40/242.47 [7610]~E(f330(f330(f104(f937(x76101,a925)),x76102),x76103),f191(f937(x76101,a925)))+P1(f330(f330(f239(f937(x76101,a925)),x76102),f330(f81(f937(x76101,a925)),x76103))) % 242.40/242.47 [7615]P1(f330(f330(f332(f937(x76151,a925)),x76152),f330(f311(x76151),x76153)))+~P1(f330(f330(f239(f937(x76151,a925)),x76152),x76153)) % 242.40/242.47 [7668]E(f330(f330(f154(x76681),f330(f330(f167(x76681),x76682),x76683)),f330(f330(f141(x76681),f330(a115,x76683)),x76682)),f330(f330(f141(x76681),x76683),x76682))+~P1(f330(f330(f240(a930),x76683),f330(f192(f931(x76681)),x76682))) % 242.40/242.47 [7697]P1(f330(f330(f332(f936(x76971,x76971)),x76972),f310(x76971,x76973)))+~P1(f330(f330(f332(f936(x76971,x76971)),x76972),x76973)) % 242.40/242.47 [7707]~P1(f330(f330(f332(f937(x77071,a925)),x77072),f330(f311(x77071),x77073)))+P1(f330(f330(f239(f937(x77071,a925)),x77072),x77073)) % 242.40/242.47 [7751]P1(f330(f330(f239(f937(x77511,a925)),x77512),f39(f937(x77511,a925),x77513)))+~P1(f330(f330(f332(f937(x77511,a925)),x77512),x77513)) % 242.40/242.47 [7773]~P142(x77731)+E(f330(f330(f83(x77731),f330(f330(f248(x77731),f330(f81(x77731),f80(x77731))),x77732)),f330(f330(f248(x77731),x77733),x77732)),f330(f330(f248(x77731),f330(f81(x77731),x77733)),x77732)) % 242.40/242.47 [7795]E(f330(f330(f167(x77951),x77952),f330(f330(f23(a930),f330(f192(f931(x77951)),x77952)),f330(a115,x77953))),f330(f330(f167(x77951),f330(f171(x77951),x77952)),x77953))+~P1(f330(f330(f240(a930),x77953),f330(f192(f931(x77951)),x77952))) % 242.40/242.47 [7812]~E(f330(f330(f104(f937(x78121,a925)),f633(x78123,x78122,x78121)),x78123),f191(f937(x78121,a925)))+E(f330(f330(f104(f937(x78121,a925)),f39(f937(x78121,a925),x78122)),x78123),f191(f937(x78121,a925))) % 242.40/242.47 [7875]~P1(f330(f330(f332(x78753),x78752),f330(f175(x78753),x78751)))+P1(f330(f330(f240(a930),f668(x78751,x78752,x78753)),f330(f192(f931(x78753)),x78751))) % 242.40/242.47 [7883]P1(f330(f330(f332(x78831),f330(f330(f167(x78831),x78832),x78833)),f330(f175(x78831),x78832)))+~P1(f330(f330(f240(a930),x78833),f330(f192(f931(x78831)),x78832))) % 242.40/242.47 [7980]~P1(f330(x79802,f739(x79803,x79802,x79801)))+E(f330(f330(f141(x79801),f330(f192(f931(x79801)),f180(x79801,x79802,x79803))),x79803),f116(x79801)) % 242.40/242.47 [7993]P1(f330(f330(f239(f937(f931(x79931),a925)),f164(x79931,x79932)),f164(x79931,x79933)))+~P1(f330(f330(f239(f937(x79931,a925)),x79932),x79933)) % 242.40/242.47 [7994]P1(f330(f330(f239(f937(f931(x79941),a925)),f163(x79941,x79942)),f163(x79941,x79943)))+~P1(f330(f330(f239(f937(x79941,a925)),x79942),x79943)) % 242.40/242.47 [8022]E(f330(f330(f104(f937(x80221,a925)),f39(f937(x80221,a925),x80222)),x80223),f191(f937(x80221,a925)))+P1(f330(f330(f332(f937(x80221,a925)),f633(x80223,x80222,x80221)),x80222)) % 242.40/242.47 [8024]~P1(f330(f330(f332(f937(x80241,a925)),x80243),x80242))+P1(f330(f330(f239(f937(x80241,a925)),f40(f937(x80241,a925),x80242)),x80243)) % 242.40/242.47 [8026]E(f330(f330(f104(f937(x80261,a925)),x80262),x80263),f191(f937(x80261,a925)))+~P1(f330(f330(f239(f937(x80261,a925)),x80262),f330(f81(f937(x80261,a925)),x80263))) % 242.40/242.47 [8078]E(f330(f330(f23(a930),f330(f330(f82(a930),f330(f168(a930),x80781)),x80782)),f330(f330(f167(a930),x80781),x80783)),f330(f168(a930),f330(f330(f162(a930,x80781),x80783),x80782)))+~P1(f330(f330(f240(a930),x80783),f330(f192(f931(a930)),x80781))) % 242.40/242.47 [8129]P1(f330(f330(f239(a930),x81291),x81292))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x81293),x81291)),f330(f330(f82(a930),x81293),x81292))) % 242.40/242.47 [8132]P1(f330(f330(f240(a930),x81321),x81322))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),x81323),x81321)),f330(f330(f82(a930),x81323),x81322))) % 242.40/242.47 [8133]P1(f330(f330(f240(a930),x81331),x81332))+~P1(f330(f330(f240(a930),f330(f330(f83(a930),x81333),x81331)),f330(f330(f83(a930),x81333),x81332))) % 242.40/242.47 [8134]P1(f330(f330(f240(a930),x81341),x81342))+~P1(f330(f330(f240(a930),f330(f330(f83(a930),x81341),x81343)),f330(f330(f83(a930),x81342),x81343))) % 242.40/242.47 [8163]P1(f330(f330(f240(a930),f2(a930)),x81631))+~P1(f330(f330(f240(a930),f330(f330(f83(a930),x81632),x81631)),f330(f330(f83(a930),x81633),x81631))) % 242.40/242.47 [8164]P1(f330(f330(f240(a930),f2(a930)),x81641))+~P1(f330(f330(f240(a930),f330(f330(f83(a930),x81641),x81642)),f330(f330(f83(a930),x81641),x81643))) % 242.40/242.47 [8239]E(f251(x82391,x82392,x82393),x82392)+~P1(f330(f330(f239(f937(x82391,a925)),x82393),f330(f330(f312(x82391),x82392),f191(f937(x82391,a925))))) % 242.40/242.47 [8297]~P1(f330(f140(x82971),x82973))+E(f330(f139(x82971,f330(f330(f8(a925,a925,x82971),a325),f330(a327,x82972))),x82973),f173(x82971,x82972,x82973)) % 242.40/242.47 [8322]E(f330(f330(f141(x83221),f330(f192(f931(x83221)),f180(x83221,x83222,x83223))),x83223),f116(x83221))+P1(f330(f330(f332(x83221),f739(x83223,x83222,x83221)),f330(f175(x83221),x83223))) % 242.40/242.47 [8327]E(f330(f330(f137(x83271),f330(f330(f178(x83271),x83272),x83273)),f330(f330(f154(x83271),f330(f330(f167(x83271),x83273),x83272)),f116(x83271))),f330(f330(f178(x83271),f330(a115,x83272)),x83273))+~P1(f330(f330(f240(a930),x83272),f330(f192(f931(x83271)),x83273))) % 242.40/242.47 [8391]E(f330(f139(x83911,f330(f330(f8(a925,a925,x83911),a325),f330(a327,x83912))),x83913),x83913)+P1(f330(f330(f332(x83911),x83912),f330(f175(x83911),x83913))) % 242.40/242.47 [8397]P1(f330(f330(f239(f937(f937(x83971,a925),a925)),f252(x83971,x83972)),f252(x83971,x83973)))+~P1(f330(f330(f239(f937(x83971,a925)),x83972),x83973)) % 242.40/242.47 [8437]~P1(f330(f140(x84371),x84373))+P1(f330(f140(x84371),f330(f330(f330(f186(f931(x84371),f931(x84371)),x84372),f170(x84371)),x84373))) % 242.40/242.47 [8443]~P1(f330(f330(f240(a930),x84432),x84433))+P1(f330(f330(f240(a930),f330(f330(f83(a930),f330(a115,x84431)),x84432)),f330(f330(f83(a930),f330(a115,x84431)),x84433))) % 242.40/242.47 [8464]P1(f330(f330(f239(f937(f937(x84641,a925),a925)),f330(f311(x84641),x84642)),f330(f311(x84641),x84643)))+~P1(f330(f330(f239(f937(x84641,a925)),x84642),x84643)) % 242.40/242.47 [8534]~E(f330(f313(x85341,x85342,x85343),f246(f937(x85341,a925))),f246(f937(x85342,a925)))+E(f330(f74(x85341,x85342,x85342,x85343),f94(x85341,x85342,f246(f937(x85341,a925)),x85343)),f33(x85342)) % 242.40/242.47 [8631]~P1(f330(f330(f239(f937(x86311,a925)),x86313),x86312))+P1(f330(f330(f239(f937(x86311,a925)),f330(f81(f937(x86311,a925)),x86312)),f330(f81(f937(x86311,a925)),x86313))) % 242.40/242.47 [8667]E(f330(f313(a930,a930,f330(f330(f7(a930,a930,a930),f23(a930)),x86671)),f330(f305(a930,x86672),x86673)),f330(f305(a930,f330(f330(f23(a930),x86672),x86671)),f330(f330(f23(a930),x86673),x86671)))+~P1(f330(f330(f240(a930),x86671),x86673)) % 242.40/242.47 [8694]~P85(x86941)+E(f330(f330(f82(x86941),x86942),f330(f145(x86941,x86941,f82(x86941),f2(x86941)),x86943)),f330(f145(x86941,x86941,f82(x86941),x86942),x86943)) % 242.40/242.47 [8778]~P91(x87781)+P1(f330(f330(f239(x87781),f330(f77(x87781),f330(f330(f23(x87781),x87782),x87783))),f330(f330(f82(x87781),f330(f77(x87781),x87782)),f330(f77(x87781),x87783)))) % 242.40/242.47 [8779]~P91(x87791)+P1(f330(f330(f239(x87791),f330(f77(x87791),f330(f330(f82(x87791),x87792),x87793))),f330(f330(f82(x87791),f330(f77(x87791),x87792)),f330(f77(x87791),x87793)))) % 242.40/242.47 [8790]E(f330(f330(f82(a1),f330(f330(f83(a1),x87901),f47(a1,f330(f330(f38(a1),x87902),x87901),x87903))),f47(a1,x87902,x87901)),f47(a1,x87902,f330(f330(f83(a1),x87901),x87903)))+~P1(f330(f330(f240(a1),f2(a1)),x87903)) % 242.40/242.47 [8796]E(f330(f330(f137(x87961),f330(f330(f178(x87961),x87962),x87963)),f330(f330(f154(x87961),f330(f144(x87961),f330(f330(f141(x87961),x87962),x87963))),f116(x87961))),f330(f330(f178(x87961),f330(a115,x87962)),x87963))+~P1(f330(f330(f240(a930),x87962),f330(f192(f931(x87961)),x87963))) % 242.40/242.47 [8816]E(f330(f272(x88161,f330(f330(f157(x88161,f936(a102,x88161)),f330(f256(a102,x88161),f80(a102))),x88162)),f330(a3,x88163)),f330(f330(f167(x88161),x88162),x88163))+~P1(f330(f330(f240(a930),x88163),f330(f192(f931(x88161)),x88162))) % 242.40/242.47 [8884]P1(f330(f330(f332(f936(x88841,x88841)),x88842),f330(f330(f292(x88841,x88841,x88841),x88843),f310(x88841,x88843))))+~P1(f330(f330(f332(f936(x88841,x88841)),x88842),x88843)) % 242.40/242.47 [8895]E(f330(f313(x88951,x88952,x88953),f246(f937(x88951,a925))),f246(f937(x88952,a925)))+~E(f330(f74(x88951,x88952,x88952,x88953),f94(x88951,x88952,f246(f937(x88951,a925)),x88953)),f33(x88952)) % 242.40/242.47 [8904]P1(f330(f330(f239(a930),x89041),x89042))+~P1(f330(f330(f239(a930),f330(f330(f83(a930),f330(a115,x89043)),x89041)),f330(f330(f83(a930),f330(a115,x89043)),x89042))) % 242.40/242.47 [8920]P1(f330(f330(f239(f937(x89201,a925)),x89202),x89203))+~P1(f330(f330(f239(f937(x89201,a925)),f330(f81(f937(x89201,a925)),x89203)),f330(f81(f937(x89201,a925)),x89202))) % 242.40/242.47 [8943]P1(f330(f140(x89431),x89432))+~P1(f330(f140(x89431),f330(f330(f330(f186(f931(x89431),f931(x89431)),x89433),f170(x89431)),x89432))) % 242.40/242.47 [9016]E(f330(f289(x90161,x90161,f310(x90161,x90162)),x90163),x90163)+~P1(f330(f330(f239(f937(x90161,a925)),f330(f289(x90161,x90161,x90162),x90163)),x90163)) % 242.40/242.47 [9064]~P112(x90641)+P16(x90641,f330(f139(x90641,f330(f330(f7(x90641,x90641,a925),a327),f330(x90642,x90643))),x90643)) % 242.40/242.47 [9071]~P1(f330(f330(f239(a930),x90711),x90712))+P1(f330(f330(f239(a930),x90711),f330(f145(a930,a930,f82(a930),x90712),x90713))) % 242.40/242.47 [9157]~P1(f330(f330(f332(f936(x91571,x91571)),x91572),f310(x91571,x91573)))+P1(f330(f330(f332(f936(x91571,x91571)),x91572),f330(f330(f186(f936(x91571,x91571),a925),f600(x91573,x91572,x91571)),x91573))) % 242.40/242.47 [9245]~P85(x92451)+E(f330(f330(f82(x92451),x92452),f330(f145(x92451,x92451,f330(f7(x92451,x92451,x92451),f82(x92451)),f2(x92451)),f330(f171(x92451),x92453))),f330(f145(x92451,x92451,f82(x92451),x92452),x92453)) % 242.40/242.47 [9364]~P29(x93642,x93641,x93643,f246(f937(x93642,a925)),f246(f937(x93641,a925)))+E(f94(x93641,x93642,f246(f937(x93641,a925)),f94(x93642,x93641,f246(f937(x93642,a925)),x93643)),x93643) % 242.40/242.47 [9522]P61(x95221,x95222,x95223)+P1(f330(f330(f332(f936(x95221,x95222)),f330(f330(f256(x95221,x95222),f604(x95223,x95222,x95221)),f598(x95223,x95222,x95221))),x95223)) % 242.40/242.47 [9523]P61(x95231,x95232,x95233)+P1(f330(f330(f332(f936(x95231,x95232)),f330(f330(f256(x95231,x95232),f604(x95233,x95232,x95231)),f597(x95233,x95232,x95231))),x95233)) % 242.40/242.47 [9591]~P1(f330(f330(f332(f936(x95911,x95911)),x95912),f330(f330(f292(x95911,x95911,x95911),x95913),f310(x95911,x95913))))+P1(f330(f330(f332(f936(x95911,x95911)),x95912),f330(f330(f186(f936(x95911,x95911),a925),f602(x95913,x95912,x95911)),x95913))) % 242.40/242.47 [9592]~P1(f330(x95921,f330(f330(f167(x95922),x95923),f330(f192(f931(x95922)),f180(x95922,x95921,x95923)))))+~P1(f330(f330(f240(a930),f330(f192(f931(x95922)),f180(x95922,x95921,x95923))),f330(f192(f931(x95922)),x95923))) % 242.40/242.47 [9681]~P1(f330(f330(f239(f937(x96811,a925)),x96812),x96813))+P1(f330(f330(f239(f937(x96811,a925)),f330(f330(f7(x96811,f937(x96811,a925),a925),f332(x96811)),x96812)),f330(f330(f7(x96811,f937(x96811,a925),a925),f332(x96811)),x96813))) % 242.40/242.47 [9739]~P1(f330(f330(f332(f936(f937(x97391,a925),f937(x97391,a925))),f330(f330(f256(f937(x97391,a925),f937(x97391,a925)),x97392),x97393)),f317(x97391)))+P1(f330(f330(f240(f937(x97391,a925)),x97392),x97393)) % 242.40/242.47 [9763]P62(x97631,x97632,x97633)+~P1(f330(f330(f332(f936(x97631,x97631)),f330(f330(f256(x97631,x97631),f585(x97633,x97632,x97631)),f584(x97633,x97632,x97631))),x97633)) % 242.40/242.47 [9764]P62(x97641,x97642,x97643)+~P1(f330(f330(f332(f936(x97641,x97641)),f330(f330(f256(x97641,x97641),f584(x97643,x97642,x97641)),f585(x97643,x97642,x97641))),x97643)) % 242.40/242.47 [9802]~P1(f330(f330(f332(f936(f931(x98021),f931(x98021))),f330(f330(f256(f931(x98021),f931(x98021)),x98022),x98022)),f150(x98021,x98023)))+P1(f330(f330(f332(f936(x98021,x98021)),f330(f330(f256(x98021,x98021),f678(x98022,x98023,x98021)),f678(x98022,x98023,x98021))),x98023)) % 242.40/242.47 [9852]P1(f330(f330(f239(f937(x98521,a925)),x98522),x98523))+~P1(f330(f330(f239(f937(x98521,a925)),f330(f330(f7(x98521,f937(x98521,a925),a925),f332(x98521)),x98522)),f330(f330(f7(x98521,f937(x98521,a925),a925),f332(x98521)),x98523))) % 242.40/242.47 [9933]E(f330(f330(f23(a930),f330(f330(f6(a930,a930),x99331),f330(f286(a930),x99332))),f330(f330(f6(a930,a930),x99333),f330(f286(a930),x99332))),f330(f330(f6(a930,a930),f330(f330(f18(a930,a930,a930),f330(f330(f8(a930,f937(a930,a930),a930),f23(a930)),x99331)),x99333)),f330(f286(a930),x99332)))+~P1(f330(f330(f239(a930),f330(x99333,f370(x99332,x99331,x99333))),f330(x99331,f370(x99332,x99331,x99333)))) % 242.40/242.47 [5872]~P5(x58721)+E(f330(f330(f23(x58721),f330(f330(f82(x58721),x58722),x58723)),x58723),x58722) % 242.40/242.47 [5873]~P5(x58731)+E(f330(f330(f82(x58731),f330(f330(f23(x58731),x58732),x58733)),x58733),x58732) % 242.40/242.47 [6101]~P5(x61011)+E(f330(f330(f82(x61011),x61012),f330(f330(f82(x61011),f330(f81(x61011),x61012)),x61013)),x61013) % 242.40/242.47 [6185]~P86(x61851)+E(f330(f330(f83(x61851),f330(f330(f248(x61851),x61852),x61853)),x61852),f330(f330(f248(x61851),x61852),f330(a115,x61853))) % 242.40/242.47 [6186]~P119(x61861)+E(f330(f330(f83(x61861),f330(f330(f248(x61861),x61862),x61863)),x61862),f330(f330(f248(x61861),x61862),f330(a115,x61863))) % 242.40/242.47 [6406]~P115(x64061)+E(f330(f77(x64061),f330(f330(f248(x64061),f330(f81(x64061),x64062)),x64063)),f330(f77(x64061),f330(f330(f248(x64061),x64062),x64063))) % 242.40/242.47 [6461]~P86(x64611)+E(f330(f330(f83(x64611),f330(f330(f248(x64611),x64612),x64613)),x64612),f330(f330(f83(x64611),x64612),f330(f330(f248(x64611),x64612),x64613))) % 242.40/242.47 [6508]E(f330(f330(f23(a102),f330(f330(f82(a102),x65081),x65082)),x65083),f278(x65081,x65082,x65083))+~P1(f330(f330(f240(a102),x65082),x65083)) % 242.40/242.47 [6531]~E(f330(f330(f141(x65311),x65313),x65312),f116(x65311))+P1(f330(f330(f239(a930),f330(f192(f931(x65311)),x65312)),x65313)) % 242.40/242.47 [6668]E(f330(f330(f83(a930),f330(f106(a930),x66681)),f330(f330(f83(a930),f330(f106(a930),x66682)),x66683)),f2(a930))+~P1(f330(f330(f240(a1),x66681),a85)) % 242.40/242.47 [6685]~P70(x66851)+E(f330(f330(f248(x66851),f330(f330(f293(x66851),f80(x66851)),x66852)),x66853),f330(f330(f293(x66851),f80(x66851)),f330(f330(f248(x66851),x66852),x66853))) % 242.40/242.47 [6764]E(f330(f330(f23(a930),f330(f330(f82(a930),x67641),x67642)),x67643),f330(f330(f23(a930),x67641),f330(f330(f23(a930),x67643),x67642)))+~P1(f330(f330(f239(a930),x67642),x67643)) % 242.40/242.47 [6766]E(f330(f330(f23(a930),f330(f330(f82(a930),x67661),x67662)),x67663),f330(f330(f82(a930),x67661),f330(f330(f23(a930),x67662),x67663)))+~P1(f330(f330(f239(a930),x67663),x67662)) % 242.40/242.47 [6804]~P2(x68041)+P1(f330(f330(f239(x68041),f330(f330(f104(x68041),x68042),x68043)),x68043)) % 242.40/242.47 [6805]~P106(x68051)+P1(f330(f330(f239(x68051),f330(f330(f104(x68051),x68052),x68053)),x68053)) % 242.40/242.47 [6806]~P2(x68061)+P1(f330(f330(f239(x68061),f330(f330(f104(x68061),x68062),x68063)),x68062)) % 242.40/242.47 [6807]~P106(x68071)+P1(f330(f330(f239(x68071),f330(f330(f104(x68071),x68072),x68073)),x68072)) % 242.40/242.47 [6808]~P112(x68081)+P1(f330(f330(f239(x68081),f330(f330(f237(x68081),x68082),x68083)),x68083)) % 242.40/242.47 [6809]~P112(x68091)+P1(f330(f330(f239(x68091),f330(f330(f237(x68091),x68092),x68093)),x68092)) % 242.40/242.47 [6823]E(f330(f330(f38(a1),f330(f330(f38(a1),x68231),x68232)),x68233),f330(f330(f38(a1),x68231),f330(f330(f83(a1),x68232),x68233)))+~P1(f330(f330(f240(a1),f2(a1)),x68233)) % 242.40/242.47 [6873]~P119(x68731)+E(f330(f330(f82(x68731),f330(f330(f83(x68731),x68732),x68733)),x68733),f330(f330(f83(x68731),f330(f330(f82(x68731),x68732),f80(x68731))),x68733)) % 242.40/242.47 [6874]~P98(x68741)+E(f330(f330(f83(x68741),f330(f81(x68741),f330(f106(x68741),x68742))),x68743),f330(f330(f83(x68741),f330(f106(x68741),f330(f81(a1),x68742))),x68743)) % 242.40/242.47 [6945]~P85(x69451)+E(f330(f168(x69451),f330(f330(f157(x69452,x69451),f330(f16(x69451,x69452),f2(x69451))),x69453)),f2(x69451)) % 242.40/242.47 [6960]E(f330(f330(f82(a930),f330(f106(a930),x69601)),f330(f330(f82(a930),f330(f106(a930),x69602)),x69603)),f330(f330(f82(a930),f330(f106(a930),x69602)),x69603))+~P1(f330(a196,f330(f106(a1),x69601))) % 242.40/242.47 [6974]~P8(x69741)+E(f40(x69741,f330(f330(f312(x69741),x69742),f330(f330(f312(x69741),x69743),f191(f937(x69741,a925))))),f330(f330(f104(x69741),x69742),x69743)) % 242.40/242.47 [6975]~P8(x69751)+E(f39(x69751,f330(f330(f312(x69751),x69752),f330(f330(f312(x69751),x69753),f191(f937(x69751,a925))))),f330(f330(f113(x69751),x69752),x69753)) % 242.40/242.47 [6998]E(f330(f330(f178(x69981),x69982),x69983),x69983)+~P1(f330(f330(f239(a930),f330(f192(f931(x69981)),x69983)),x69982)) % 242.40/242.47 [7010]E(f330(f330(f141(x70101),x70102),x70103),f116(x70101))+~P1(f330(f330(f239(a930),f330(f192(f931(x70101)),x70103)),x70102)) % 242.40/242.47 [7021]E(f330(f330(f82(a930),f330(f330(f23(a930),x70211),x70212)),x70213),f330(f330(f23(a930),f330(f330(f82(a930),x70211),x70213)),x70212))+~P1(f330(f330(f239(a930),x70212),x70211)) % 242.40/242.47 [7035]~P1(f330(f330(f240(a930),x70351),x70353))+P1(f330(f330(f240(a930),f330(f330(f23(a930),x70351),x70352)),x70353)) % 242.40/242.47 [7062]~P112(x70621)+E(f173(x70621,x70622,f330(f330(f151(x70621,x70621,f5(x70621)),x70622),x70623)),x70623) % 242.40/242.47 [7149]E(f330(f330(f23(a930),f330(f330(f82(a930),x71491),x71492)),f330(a115,x71493)),f330(f330(f23(a930),x71491),f330(a115,f330(f330(f23(a930),x71493),x71492))))+~P1(f330(f330(f239(a930),x71492),x71493)) % 242.40/242.47 [7150]~P115(x71501)+P1(f330(f330(f239(x71501),f2(x71501)),f330(f330(f248(x71501),f330(f77(x71501),x71502)),x71503))) % 242.40/242.47 [7198]P27(x71981,x71982,x71983)+~P1(f330(f330(f239(f937(f929(x71981),a925)),x71983),x71982)) % 242.40/242.47 [7240]~P1(f330(f63(x72401),x72402))+P1(f330(f63(x72401),f330(f330(f23(f937(x72401,a925)),x72402),x72403))) % 242.40/242.47 [7241]~P1(f330(f63(x72411),x72413))+P1(f330(f63(x72411),f330(f330(f104(f937(x72411,a925)),x72412),x72413))) % 242.40/242.47 [7242]~P1(f330(f63(x72421),x72422))+P1(f330(f63(x72421),f330(f330(f104(f937(x72421,a925)),x72422),x72423))) % 242.40/242.47 [7381]~P42(x73811,x73813)+P42(x73811,f330(f330(f104(f937(f936(x73811,x73811),a925)),x73812),x73813)) % 242.40/242.47 [7382]~P42(x73821,x73822)+P42(x73821,f330(f330(f104(f937(f936(x73821,x73821),a925)),x73822),x73823)) % 242.40/242.47 [7507]~P2(x75071)+E(f10(x75071,f330(f175(x75071),f330(f330(f154(x75071),x75072),x75073))),f330(f145(x75071,x75071,f104(x75071),x75072),x75073)) % 242.40/242.47 [7508]~P2(x75081)+E(f13(x75081,f330(f175(x75081),f330(f330(f154(x75081),x75082),x75083))),f330(f145(x75081,x75081,f113(x75081),x75082),x75083)) % 242.40/242.47 [7509]~P112(x75091)+E(f14(x75091,f330(f175(x75091),f330(f330(f154(x75091),x75092),x75093))),f330(f145(x75091,x75091,f238(x75091),x75092),x75093)) % 242.40/242.47 [7510]~P112(x75101)+E(f15(x75101,f330(f175(x75101),f330(f330(f154(x75101),x75102),x75103))),f330(f145(x75101,x75101,f237(x75101),x75102),x75103)) % 242.40/242.47 [7575]~P1(f330(f63(x75751),x75752))+P1(f330(f330(f239(a930),f330(f37(x75751),x75752)),f330(f37(x75751),f330(f330(f312(x75751),x75753),x75752)))) % 242.40/242.47 [7582]E(f330(f330(f113(f937(a930,a925)),f330(f305(a930,x75821),x75822)),f330(f305(a930,x75822),f330(f330(f82(a930),x75822),x75823))),f330(f305(a930,x75821),f330(f330(f82(a930),x75822),x75823)))+~P1(f330(f330(f239(a930),x75821),x75822)) % 242.40/242.47 [7593]P1(f330(f330(f239(a930),x75931),x75932))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x75933),x75931)),x75932)) % 242.40/242.47 [7594]P1(f330(f330(f239(a930),x75941),x75942))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x75941),x75943)),x75942)) % 242.40/242.47 [7595]P1(f330(f330(f240(a930),x75951),x75952))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),x75951),x75953)),x75952)) % 242.40/242.47 [7632]~P112(x76321)+E(f11(x76321,f238(x76321),f330(f175(x76321),f330(f330(f154(x76321),x76322),x76323))),f330(f145(x76321,x76321,f238(x76321),x76322),x76323)) % 242.40/242.47 [7633]~P112(x76331)+E(f12(x76331,f237(x76331),f330(f175(x76331),f330(f330(f154(x76331),x76332),x76333))),f330(f145(x76331,x76331,f237(x76331),x76332),x76333)) % 242.40/242.47 [7637]~E(x76372,f191(f937(f936(x76371,x76371),a925)))+P1(f330(f330(f239(f937(f936(x76371,x76371),a925)),x76372),x76373)) % 242.40/242.47 [7746]E(f330(f330(f113(f937(x77461,a925)),x77462),f330(f330(f23(f937(x77461,a925)),x77463),x77462)),x77463)+~P1(f330(f330(f239(f937(x77461,a925)),x77462),x77463)) % 242.40/242.47 [7747]~P1(f330(f330(f239(a930),x77471),f330(f330(f82(a930),x77473),x77472)))+P1(f330(f330(f239(a930),f330(f330(f23(a930),x77471),x77472)),x77473)) % 242.40/242.47 [7748]~P1(f330(f330(f240(a930),x77481),f330(f330(f23(a930),x77483),x77482)))+P1(f330(f330(f240(a930),f330(f330(f82(a930),x77481),x77482)),x77483)) % 242.40/242.47 [7802]E(x78021,f116(x78022))+E(f330(f144(x78022),f330(f330(f330(f186(f931(x78022),f931(x78022)),x78023),f170(x78022)),x78021)),f330(f330(f167(x78022),x78021),f47(a930,x78023,f330(f192(f931(x78022)),x78021)))) % 242.40/242.47 [7811]E(f330(f330(f312(x78111),x78112),f330(f330(f23(f937(x78111,a925)),x78113),f330(f330(f312(x78111),x78112),f191(f937(x78111,a925))))),x78113)+~P1(f330(f330(f332(x78111),x78112),x78113)) % 242.40/242.47 [7971]P1(f330(f330(f239(a930),x79711),f330(f330(f82(a930),x79712),x79713)))+~P1(f330(f330(f239(a930),f330(f330(f23(a930),x79711),x79713)),x79712)) % 242.40/242.47 [7972]P1(f330(f330(f240(a930),x79721),f330(f330(f23(a930),x79722),x79723)))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),x79721),x79723)),x79722)) % 242.40/242.47 [7997]P1(f330(f63(x79971),x79972))+~P1(f330(f63(x79971),f330(f330(f113(f937(x79971,a925)),x79973),x79972))) % 242.40/242.47 [7998]P1(f330(f63(x79981),x79982))+~P1(f330(f63(x79981),f330(f330(f113(f937(x79981,a925)),x79982),x79983))) % 242.40/242.47 [8077]~P52(x80771,x80773)+P1(f330(f330(f332(f936(x80771,x80771)),f330(f330(f256(x80771,x80771),x80772),x80772)),x80773)) % 242.40/242.47 [8210]E(f330(f330(f167(a930),f142(a930,f330(f305(a930,x82101),x82102))),x82103),f330(f330(f82(a930),x82101),x82103))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),x82101),x82103)),x82102)) % 242.40/242.47 [8281]~P1(f330(f330(f197(f330(a26,x82811)),x82812),x82813))+P1(f330(f330(f197(f330(f236(a927),f330(a27,x82811))),x82812),x82813)) % 242.40/242.47 [8286]E(f330(f330(f178(a930),x82861),f142(a930,f330(f305(a930,x82862),x82863))),f142(a930,f330(f305(a930,x82862),f330(f330(f82(a930),x82862),x82861))))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x82862),x82861)),x82863)) % 242.40/242.47 [8344]~P98(x83441)+E(f330(f330(f248(x83441),x83442),f330(f106(a930),f330(f330(f82(a1),x83443),x83443))),f330(f330(f88(x83441,x83441),f330(f330(f248(x83441),x83442),f330(f106(a930),x83443))),f330(f330(f18(x83441,x83441,x83441),f83(x83441)),f5(x83441)))) % 242.40/242.47 [8551]P1(f330(f330(f197(f330(a26,x85511)),x85512),x85513))+~P1(f330(f330(f197(f330(f236(a927),f330(a27,x85511))),x85512),x85513)) % 242.40/242.47 [8611]E(f330(f330(f137(x86111),f330(f330(f178(x86111),x86112),x86113)),f330(f330(f154(x86111),f330(f330(f167(x86111),x86113),x86112)),f330(f330(f141(x86111),f330(a115,x86112)),x86113))),x86113)+~P1(f330(f330(f240(a930),x86112),f330(f192(f931(x86111)),x86113))) % 242.40/242.47 [8618]P1(f330(f330(f239(f937(x86181,a925)),f318(x86181,x86182)),f318(x86181,x86183)))+~P1(f330(f330(f239(f937(x86181,f937(x86181,a925))),x86183),x86182)) % 242.40/242.47 [8619]~P62(x86191,x86192,x86193)+P62(x86191,x86192,f330(f330(f23(f937(f936(x86191,x86191),a925)),x86193),f310(x86191,f191(f937(f936(x86191,x86191),a925))))) % 242.40/242.47 [8639]P1(f330(f330(f239(f937(x86391,a925)),f319(x86391,x86392)),f319(x86391,x86393)))+~P1(f330(f330(f239(f937(f936(x86391,x86391),a925)),x86393),x86392)) % 242.40/242.47 [8645]~P1(f330(f330(f240(f937(x86451,a925)),x86453),x86452))+P1(f330(f330(f332(x86451),f660(x86452,x86453,x86451)),f330(f330(f23(f937(x86451,a925)),x86452),x86453))) % 242.40/242.47 [8647]~P128(x86471)+P1(f330(f330(f239(x86471),f2(x86471)),f330(f330(f82(x86471),f330(f330(f83(x86471),x86472),x86472)),f330(f330(f83(x86471),x86473),x86473)))) % 242.40/242.47 [8682]P1(f330(f330(f239(f937(x86821,a925)),f330(f285(x86821),x86822)),f330(f285(x86821),x86823)))+~P1(f330(f330(f239(f937(f936(x86821,x86821),a925)),x86822),x86823)) % 242.40/242.47 [8715]~P60(x87151,x87152)+~P1(f330(f330(f332(f936(x87151,x87151)),f330(f330(f256(x87151,x87151),x87153),x87153)),x87152)) % 242.40/242.47 [8717]~P42(x87171,x87172)+~P1(f330(f330(f332(f936(x87171,x87171)),f330(f330(f256(x87171,x87171),x87173),x87173)),x87172)) % 242.40/242.47 [8780]P1(f330(f330(f239(f937(x87801,a925)),f40(f937(x87801,a925),x87802)),f40(f937(x87801,a925),x87803)))+~P1(f330(f330(f239(f937(f937(x87801,a925),a925)),x87803),x87802)) % 242.40/242.47 [8781]P1(f330(f330(f239(f937(x87811,a925)),f39(f937(x87811,a925),x87812)),f39(f937(x87811,a925),x87813)))+~P1(f330(f330(f239(f937(f937(x87811,a925),a925)),x87812),x87813)) % 242.40/242.47 [8835]~P11(x88351,x88353,x88352)+P1(f330(f330(f239(f937(f936(x88351,x88351),a925)),x88352),f330(f330(f258(x88351,x88351),x88353),f330(f16(f937(x88351,a925),x88351),x88353)))) % 242.40/242.47 [8836]~P59(x88361,x88363,x88362)+P1(f330(f330(f239(f937(f936(x88361,x88361),a925)),x88362),f330(f330(f258(x88361,x88361),x88363),f330(f16(f937(x88361,a925),x88361),x88363)))) % 242.40/242.47 [8885]~P91(x88851)+P1(f330(f330(f239(x88851),f330(f330(f23(x88851),f330(f77(x88851),x88852)),f330(f77(x88851),x88853))),f330(f77(x88851),f330(f330(f23(x88851),x88853),x88852)))) % 242.40/242.47 [8886]~P91(x88861)+P1(f330(f330(f239(x88861),f330(f330(f23(x88861),f330(f77(x88861),x88862)),f330(f77(x88861),x88863))),f330(f77(x88861),f330(f330(f23(x88861),x88862),x88863)))) % 242.40/242.47 [8918]P1(f330(f330(f239(f937(f936(x89181,x89181),a925)),f310(x89181,x89182)),f310(x89181,x89183)))+~P1(f330(f330(f239(f937(f936(x89181,x89181),a925)),x89182),x89183)) % 242.40/242.47 [9029]~P28(x90292,x90291,x90293,f246(f937(x90292,a925)))+E(f330(f74(x90291,x90292,x90292,f94(x90292,x90291,f246(f937(x90292,a925)),x90293)),x90293),f33(x90292)) % 242.40/242.47 [9089]P62(x90891,x90892,x90893)+~P62(x90891,x90892,f330(f330(f23(f937(f936(x90891,x90891),a925)),x90893),f310(x90891,f191(f937(f936(x90891,x90891),a925))))) % 242.40/242.47 [9109]P1(f330(f330(f239(f937(f936(f931(x91091),f931(x91091)),a925)),f160(x91091,x91092)),f160(x91091,x91093)))+~P1(f330(f330(f239(f937(f936(x91091,x91091),a925)),x91092),x91093)) % 242.40/242.47 [9110]P1(f330(f330(f239(f937(f936(f931(x91101),f931(x91101)),a925)),f161(x91101,x91102)),f161(x91101,x91103)))+~P1(f330(f330(f239(f937(f936(x91101,x91101),a925)),x91102),x91103)) % 242.40/242.47 [9131]~P59(x91311,x91313,x91312)+P1(f330(f330(f239(f937(f936(x91311,x91311),a925)),x91312),f330(f330(f292(x91311,x91311,x91311),f330(f290(x91311,x91311),x91312)),x91312))) % 242.40/242.47 [9186]~P1(f330(f140(x91861),x91862))+E(f330(f139(x91861,f330(f330(f7(x91861,f937(x91861,a925),a925),f332(x91861)),f330(f175(x91861),f179(x91861,x91862,x91863)))),x91862),f179(x91861,x91862,x91863)) % 242.40/242.47 [9243]E(x92431,x92432)+~P1(f330(f330(f332(f936(x92433,x92433)),f330(f330(f256(x92433,x92433),x92431),x92432)),f310(x92433,f191(f937(f936(x92433,x92433),a925))))) % 242.40/242.47 [9327]P1(f330(f330(f332(x93271),x93272),f319(x93271,x93273)))+P1(f330(f330(f332(f936(x93271,x93271)),f330(f330(f256(x93271,x93271),f532(x93273,x93272,x93271)),x93272)),x93273)) % 242.40/242.47 [9328]P1(f330(f330(f332(x93281),x93282),f319(x93281,x93283)))+P1(f330(f330(f332(f936(x93281,x93281)),f330(f330(f256(x93281,x93281),f587(x93283,x93282,x93281)),x93282)),x93283)) % 242.40/242.47 [9329]P1(f330(f330(f332(x93291),x93292),f319(x93291,x93293)))+P1(f330(f330(f332(f936(x93291,x93291)),f330(f330(f256(x93291,x93291),f588(x93293,x93292,x93291)),x93292)),x93293)) % 242.40/242.47 [9365]P28(x93651,x93652,x93653,f246(f937(x93651,a925)))+~E(f330(f74(x93652,x93651,x93651,f94(x93651,x93652,f246(f937(x93651,a925)),x93653)),x93653),f33(x93651)) % 242.40/242.47 [9425]~P1(f330(f330(f332(f931(x94251)),x94253),f164(x94251,x94252)))+P1(f330(f163(x94251,f330(f330(f7(x94251,f937(x94251,a925),a925),f332(x94251)),x94252)),x94253)) % 242.40/242.47 [9448]P1(f330(x94483,x94482))+E(f330(f266(x94481),f330(f330(f18(x94481,a925,a925),f330(f330(f8(a925,f937(a925,a925),x94481),a328),f330(a327,x94482))),x94483)),f191(f937(x94481,a925))) % 242.40/242.47 [9465]~P91(x94651)+P1(f330(f330(f239(x94651),f330(f77(x94651),f330(f330(f23(x94651),f330(f77(x94651),x94652)),f330(f77(x94651),x94653)))),f330(f77(x94651),f330(f330(f23(x94651),x94652),x94653)))) % 242.40/242.47 [9479]~P1(f330(x94793,x94792))+E(f330(f266(x94791),f330(f330(f18(x94791,a925,a925),f330(f330(f8(a925,f937(a925,a925),x94791),a328),f330(a327,x94792))),x94793)),f330(f330(f312(x94791),x94792),f191(f937(x94791,a925)))) % 242.40/242.47 [9486]~P1(f330(f330(f332(f937(x94861,a925)),x94863),f330(f311(x94861),x94862)))+P1(f330(f252(x94861,f330(f330(f7(x94861,f937(x94861,a925),a925),f332(x94861)),x94862)),x94863)) % 242.40/242.47 [9521]P42(x95211,x95212)+P1(f330(f330(f332(f936(x95211,x95211)),f330(f330(f256(x95211,x95211),f330(f546(x95212,x95211),f330(a115,x95213))),f330(f546(x95212,x95211),x95213))),x95212)) % 242.40/242.47 [9660]P1(f330(f330(f332(f931(x96601)),x96602),f164(x96601,x96603)))+~P1(f330(f163(x96601,f330(f330(f7(x96601,f937(x96601,a925),a925),f332(x96601)),x96603)),x96602)) % 242.40/242.47 [9673]P1(f330(f330(f332(f937(x96731,a925)),x96732),f330(f311(x96731),x96733)))+~P1(f330(f252(x96731,f330(f330(f7(x96731,f937(x96731,a925),a925),f332(x96731)),x96733)),x96732)) % 242.40/242.47 [9734]P1(f330(f330(f332(x97341),f330(f272(x97341,x97342),x97343)),f330(f175(x97341),f330(f330(f157(f936(a102,x97341),x97341),f260(a102,x97341)),x97342))))+~P1(f330(f330(f240(a102),x97343),f330(f168(a102),f330(f330(f157(f936(a102,x97341),a102),f255(a102,x97341)),x97342)))) % 242.40/242.47 [9781]P1(f330(f330(f239(f937(f936(f931(x97811),f931(x97811)),a925)),f161(x97811,x97812)),f330(f330(f258(f931(x97811),f931(x97811)),f164(x97811,x97813)),f330(f16(f937(f931(x97811),a925),f931(x97811)),f164(x97811,x97813)))))+~P1(f330(f330(f239(f937(f936(x97811,x97811),a925)),x97812),f330(f330(f258(x97811,x97811),x97813),f330(f16(f937(x97811,a925),x97811),x97813)))) % 242.40/242.47 [9805]P1(f330(f330(f332(x98051),f330(f255(x98051,f936(a102,a102)),f330(f270(x98051,x98052),x98053))),f330(f175(x98051),f330(f330(f157(f936(a102,x98051),x98051),f260(a102,x98051)),x98052))))+~P1(f330(f330(f240(a102),f2(a102)),f330(f168(a102),f330(f330(f157(f936(a102,x98051),a102),f255(a102,x98051)),x98052)))) % 242.40/242.47 [9820]~P1(f330(f330(f239(f937(f936(x98201,x98201),a925)),x98202),f330(f330(f258(x98201,x98201),x98203),f330(f16(f937(x98201,a925),x98201),x98203))))+P1(f330(f330(f239(f937(f936(x98201,x98201),a925)),f330(f330(f292(x98201,x98201,x98201),x98202),f310(x98201,x98202))),f330(f330(f258(x98201,x98201),x98203),f330(f16(f937(x98201,a925),x98201),x98203)))) % 242.40/242.47 [10118]~P42(x101181,x101182)+~P1(f330(f330(f332(f936(x101181,x101181)),f330(f330(f256(x101181,x101181),f330(x101183,f330(a115,f544(x101182,x101181,x101183)))),f330(x101183,f544(x101182,x101181,x101183)))),x101182)) % 242.40/242.47 [10119]~P42(x101191,x101192)+~P1(f330(f330(f332(f936(x101191,x101191)),f330(f330(f256(x101191,x101191),f330(x101193,f330(a115,f591(x101193,x101192,x101191)))),f330(x101193,f591(x101193,x101192,x101191)))),x101192)) % 242.40/242.47 [10364]P1(f330(f330(f239(f937(f936(f937(x103641,a925),f937(x103641,a925)),a925)),f330(f330(f292(f937(x103641,a925),f937(x103641,a925),f937(x103641,a925)),f321(x103641,x103642)),f330(f330(f113(f937(f936(f937(x103641,a925),f937(x103641,a925)),a925)),f321(x103641,x103643)),f330(f330(f312(f936(f937(x103641,a925),f937(x103641,a925))),f330(f330(f256(f937(x103641,a925),f937(x103641,a925)),f191(f937(x103641,a925))),f191(f937(x103641,a925)))),f191(f937(f936(f937(x103641,a925),f937(x103641,a925)),a925)))))),f321(x103641,x103642)))+~P1(f330(f330(f239(f937(f936(x103641,x103641),a925)),f330(f330(f292(x103641,x103641,x103641),x103642),x103643)),x103642)) % 242.40/242.47 [10365]P1(f330(f330(f239(f937(f936(f937(x103651,a925),f937(x103651,a925)),a925)),f330(f330(f292(f937(x103651,a925),f937(x103651,a925),f937(x103651,a925)),f322(x103651,x103652)),f330(f330(f113(f937(f936(f937(x103651,a925),f937(x103651,a925)),a925)),f322(x103651,x103653)),f330(f330(f312(f936(f937(x103651,a925),f937(x103651,a925))),f330(f330(f256(f937(x103651,a925),f937(x103651,a925)),f191(f937(x103651,a925))),f191(f937(x103651,a925)))),f191(f937(f936(f937(x103651,a925),f937(x103651,a925)),a925)))))),f322(x103651,x103652)))+~P1(f330(f330(f239(f937(f936(x103651,x103651),a925)),f330(f330(f292(x103651,x103651,x103651),x103652),x103653)),x103652)) % 242.40/242.47 [7506]~P1(f330(f330(f239(a930),x75062),x75061))+E(f330(f330(f23(a930),f330(a115,f330(f330(f23(a930),x75061),x75062))),x75063),f330(f330(f23(a930),f330(a115,x75061)),f330(f330(f82(a930),x75062),x75063))) % 242.40/242.47 [7545]~P67(x75451)+E(f330(f330(f82(x75451),f47(x75451,x75452,x75453)),f330(f330(f83(x75451),f330(f330(f38(x75451),x75452),x75453)),x75453)),x75452) % 242.40/242.47 [7752]E(f330(f330(f83(a930),f330(f106(a930),x77521)),f330(f330(f83(a930),f330(f106(a930),x77522)),x77523)),f330(f330(f83(a930),f330(f106(a930),f330(f330(f83(a1),x77521),x77522))),x77523))+P1(f330(f330(f240(a1),x77521),a85)) % 242.40/242.47 [8221]~P1(f330(f330(f239(a930),x82213),x82212))+P1(f330(f330(f239(a930),x82211),f330(f330(f23(a930),f330(f330(f82(a930),x82212),x82211)),x82213))) % 242.40/242.47 [8428]~P1(f330(f330(f239(a930),x84281),x84282))+E(f330(f330(f137(a930),f142(a930,f330(f305(a930,x84281),x84282))),f142(a930,f330(f305(a930,x84282),f330(f330(f82(a930),x84282),x84283)))),f142(a930,f330(f305(a930,x84281),f330(f330(f82(a930),x84282),x84283)))) % 242.40/242.47 [8691]~P1(f330(f63(x86911),x86912))+E(f330(a115,f330(f37(x86911),f330(f330(f23(f937(x86911,a925)),x86912),f330(f330(f312(x86911),x86913),f191(f937(x86911,a925)))))),f330(f37(x86911),f330(f330(f312(x86911),x86913),x86912))) % 242.40/242.47 [8736]~P1(f330(f63(x87361),x87362))+E(f330(f330(f82(a930),f80(a930)),f330(f37(x87361),f330(f330(f23(f937(x87361,a925)),x87362),f330(f330(f312(x87361),x87363),f191(f937(x87361,a925)))))),f330(f37(x87361),f330(f330(f312(x87361),x87363),x87362))) % 242.40/242.47 [8927]E(f330(f330(f23(a930),f330(f37(x89271),x89272)),f330(f37(x89271),f330(f330(f104(f937(x89271,a925)),x89272),x89273))),f330(f37(x89271),f330(f330(f23(f937(x89271,a925)),x89272),x89273)))+~P1(f330(f63(x89271),f330(f330(f104(f937(x89271,a925)),x89272),x89273))) % 242.40/242.47 [9181]~P9(f330(x91812,f423(x91812,x91813,x91811)))+E(f330(f103(a1),f330(f330(f6(x91811,a930),f330(f330(f8(a1,a930,x91811),a107),x91812)),x91813)),f330(f330(f6(x91811,a1),x91812),x91813)) % 242.40/242.47 [9182]~P9(f330(x91822,f456(x91822,x91823,x91821)))+E(f330(f103(a1),f330(f330(f9(x91821,a930),f330(f330(f8(a1,a930,x91821),a107),x91822)),x91823)),f330(f330(f9(x91821,a1),x91822),x91823)) % 242.40/242.47 [9226]~P1(f330(f63(x92261),x92263))+P1(f330(f330(f239(a930),f330(f330(f23(a930),f330(f37(x92261),x92262)),f330(f37(x92261),x92263))),f330(f37(x92261),f330(f330(f23(f937(x92261,a925)),x92262),x92263)))) % 242.40/242.47 [9253]P1(f330(f330(f332(x92531),f423(x92532,x92533,x92531)),x92533))+E(f330(f103(a1),f330(f330(f6(x92531,a930),f330(f330(f8(a1,a930,x92531),a107),x92532)),x92533)),f330(f330(f6(x92531,a1),x92532),x92533)) % 242.40/242.47 [9254]P1(f330(f330(f332(x92541),f456(x92542,x92543,x92541)),x92543))+E(f330(f103(a1),f330(f330(f9(x92541,a930),f330(f330(f8(a1,a930,x92541),a107),x92542)),x92543)),f330(f330(f9(x92541,a1),x92542),x92543)) % 242.40/242.47 [9319]E(f87(x93191,f330(f330(f7(x93191,f937(x93191,a925),a925),f332(x93191)),f330(f330(f23(f937(x93191,a925)),x93192),f330(f330(f312(x93191),x93193),f191(f937(x93191,a925)))))),f251(x93191,x93193,x93192))+P1(f330(f330(f239(f937(x93191,a925)),x93192),f330(f330(f312(x93191),x93193),f191(f937(x93191,a925))))) % 242.40/242.47 [9674]E(f330(f330(f157(f931(x96741),x96741),f330(f330(f7(f931(x96741),a930,x96741),f167(x96741)),x96742)),f330(f139(f931(x96741),f330(f330(f8(a930,a925,f931(x96741)),f330(f240(a930),x96742)),f192(f931(x96741)))),x96743)),f330(f330(f167(f931(x96741)),f182(x96741,x96743)),x96742))+~P1(f330(f330(f240(a930),x96742),f330(f192(f931(f931(x96741))),f182(x96741,x96743)))) % 242.40/242.47 [9754]E(f330(f139(x97541,x97542),x97543),f180(x97541,x97542,x97543))+P1(f330(f330(f332(x97541),f742(x97543,x97542,x97541)),f330(f175(x97541),f330(f330(f141(x97541),f330(f192(f931(x97541)),f180(x97541,x97542,x97543))),x97543)))) % 242.40/242.47 [9893]E(f330(f330(f141(x98931),f330(f192(f931(x98931)),f180(x98931,x98932,x98933))),x98933),f116(x98931))+~P1(f330(x98932,f330(f144(x98931),f330(f330(f141(x98931),f330(f192(f931(x98931)),f180(x98931,x98932,x98933))),x98933)))) % 242.40/242.47 [9985]~P1(f330(f330(f332(f936(x99851,x99851)),x99852),f310(x99851,x99853)))+P1(f330(f330(f332(f936(x99851,x99851)),x99852),f330(f330(f41(a930,f937(f936(x99851,x99851),a925)),f246(f937(a930,a925))),f330(f330(f7(a930,f937(f936(x99851,x99851),a925),f937(f936(x99851,x99851),a925)),f186(f936(x99851,x99851),a925)),x99853)))) % 242.40/242.47 [10045]~P1(f330(f330(f239(f937(x100451,a925)),f330(f330(f41(a930,f937(x100451,a925)),f330(f305(a930,f2(a930)),f462(x100453,x100452,x100451))),x100452)),x100453))+P1(f330(f330(f239(f937(x100451,a925)),f330(f330(f41(a930,f937(x100451,a925)),f246(f937(a930,a925))),x100452)),x100453)) % 242.40/242.47 [10091]~P1(f330(f330(f240(a1),f2(a1)),x100913))+P1(f330(f330(f240(a1),x100911),f330(f330(f82(a1),x100912),f330(f330(f83(a1),f330(f330(f82(a1),f330(f77(a1),f330(f330(f23(a1),x100912),x100911))),f80(a1))),x100913)))) % 242.40/242.47 [10105]~P42(x101051,f330(f330(f113(f937(f936(x101051,x101051),a925)),x101052),x101053))+P42(x101051,f330(f330(f113(f937(f936(x101051,x101051),a925)),f330(f330(f113(f937(f936(x101051,x101051),a925)),f330(f330(f292(x101051,x101051,x101051),x101052),x101052)),f330(f330(f292(x101051,x101051,x101051),x101053),x101052))),x101053)) % 242.40/242.47 [10180]P42(x101801,f330(f330(f113(f937(f936(x101801,x101801),a925)),x101802),x101803))+~P42(x101801,f330(f330(f113(f937(f936(x101801,x101801),a925)),f330(f330(f113(f937(f936(x101801,x101801),a925)),f330(f330(f292(x101801,x101801,x101801),x101802),x101802)),f330(f330(f292(x101801,x101801,x101801),x101803),x101802))),x101803)) % 242.40/242.47 [9757]~P142(x97571)+E(f330(f105(x97571),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x97572),x97573)),f191(f937(f936(a930,a930),a925)))))),f330(f330(f23(x97571),f330(f103(x97571),x97572)),f330(f103(x97571),x97573))) % 242.40/242.47 [9840]P1(f330(x98403,x98402))+E(f330(f266(x98401),f330(f330(f18(x98401,a925,a925),f330(f330(f8(a925,f937(a925,a925),x98401),a328),f330(f330(f7(x98401,x98401,a925),a327),x98402))),x98403)),f191(f937(x98401,a925))) % 242.40/242.47 [9842]~P1(f330(x98423,x98422))+E(f330(f266(x98421),f330(f330(f18(x98421,a925,a925),f330(f330(f8(a925,f937(a925,a925),x98421),a328),f330(f330(f7(x98421,x98421,a925),a327),x98422))),x98423)),f330(f330(f312(x98421),x98422),f191(f937(x98421,a925)))) % 242.40/242.47 [10071]E(x100711,x100712)+P1(f330(f330(f247(x100713,x100713,f330(f330(f8(f937(x100713,a925),f937(x100713,a925),x100713),f330(f8(a925,a925,x100713),a325)),a327)),x100711),x100712)) % 242.40/242.47 [10160]~E(x101601,x101602)+~P1(f330(f330(f247(x101603,x101603,f330(f330(f8(f937(x101603,a925),f937(x101603,a925),x101603),f330(f8(a925,a925,x101603),a325)),a327)),x101601),x101602)) % 242.40/242.47 [10172]~P1(f330(f63(x101721),x101723))+E(f330(f330(f66(x101721,f937(x101721,a925),f330(f330(f8(f937(x101721,a925),f937(f937(x101721,a925),f937(x101721,a925)),x101721),f330(f7(f937(x101721,a925),f937(x101721,a925),f937(x101721,a925)),f23(f937(x101721,a925)))),f330(f330(f7(x101721,f937(x101721,a925),f937(x101721,a925)),f312(x101721)),f191(f937(x101721,a925))))),x101722),x101723),f330(f330(f23(f937(x101721,a925)),x101722),x101723)) % 242.40/242.47 [10203]~P1(f330(f330(f240(a1),f2(a1)),x102033))+P1(f330(f330(f240(a1),f330(f330(f23(a1),x102031),f330(f330(f83(a1),f330(f330(f82(a1),f330(f77(a1),f330(f330(f23(a1),x102031),x102032))),f80(a1))),x102033))),x102032)) % 242.40/242.47 [10448]~P1(f330(f330(f332(x104481),x104483),f319(x104481,x104482)))+P1(f330(f318(x104481,f330(f330(f7(x104481,f937(f936(x104481,x104481),a925),f937(x104481,a925)),f330(f330(f8(f937(x104481,f937(f937(f936(x104481,x104481),a925),a925)),f937(f937(f936(x104481,x104481),a925),f937(x104481,a925)),x104481),f7(x104481,f937(f936(x104481,x104481),a925),a925)),f330(f330(f8(f937(x104481,f936(x104481,x104481)),f937(x104481,f937(f937(f936(x104481,x104481),a925),a925)),x104481),f330(f8(f936(x104481,x104481),f937(f937(f936(x104481,x104481),a925),a925),x104481),f332(f936(x104481,x104481)))),f256(x104481,x104481)))),x104482)),x104483)) % 242.40/242.47 [10461]P1(f330(f330(f332(x104611),x104612),f319(x104611,x104613)))+~P1(f330(f318(x104611,f330(f330(f7(x104611,f937(f936(x104611,x104611),a925),f937(x104611,a925)),f330(f330(f8(f937(x104611,f937(f937(f936(x104611,x104611),a925),a925)),f937(f937(f936(x104611,x104611),a925),f937(x104611,a925)),x104611),f7(x104611,f937(f936(x104611,x104611),a925),a925)),f330(f330(f8(f937(x104611,f936(x104611,x104611)),f937(x104611,f937(f937(f936(x104611,x104611),a925),a925)),x104611),f330(f8(f936(x104611,x104611),f937(f937(f936(x104611,x104611),a925),a925),x104611),f332(f936(x104611,x104611)))),f256(x104611,x104611)))),x104613)),x104612)) % 242.40/242.47 [10043]~P1(f330(f63(x100431),f330(f266(x100431),x100433)))+P1(f330(f63(x100431),f330(f266(x100431),f330(f330(f18(x100431,a925,a925),f330(f330(f8(a925,f937(a925,a925),x100431),a328),x100432)),x100433)))) % 242.40/242.47 [10044]~P1(f330(f63(x100441),f330(f266(x100441),x100442)))+P1(f330(f63(x100441),f330(f266(x100441),f330(f330(f18(x100441,a925,a925),f330(f330(f8(a925,f937(a925,a925),x100441),a328),x100442)),x100443)))) % 242.40/242.47 [10139]P1(f330(f63(x101391),f330(f266(x101391),x101392)))+~P1(f330(f63(x101391),f330(f266(x101391),f330(f330(f18(x101391,a925,a925),f330(f330(f8(a925,f937(a925,a925),x101391),a329),x101393)),x101392)))) % 242.40/242.47 [10140]P1(f330(f63(x101401),f330(f266(x101401),x101402)))+~P1(f330(f63(x101401),f330(f266(x101401),f330(f330(f18(x101401,a925,a925),f330(f330(f8(a925,f937(a925,a925),x101401),a329),x101402)),x101403)))) % 242.40/242.47 [10427]~P1(f330(f63(x104271),x104272))+P1(f330(f63(f931(x104271)),f330(f266(f931(x104271)),f330(f330(f18(f931(x104271),a925,a925),f330(f330(f8(a925,f937(a925,a925),f931(x104271)),a328),f330(f330(f7(f931(x104271),f937(x104271,a925),a925),f330(f330(f8(f937(x104271,a925),f937(f937(x104271,a925),a925),f931(x104271)),f239(f937(x104271,a925))),f175(x104271))),x104272))),f330(f330(f7(f931(x104271),a930,a925),f330(f330(f8(a930,f937(a930,a925),f931(x104271)),a327),f192(f931(x104271)))),x104273))))) % 242.40/242.47 [10428]~P1(f330(f63(x104281),x104282))+P1(f330(f63(f931(x104281)),f330(f266(f931(x104281)),f330(f330(f18(f931(x104281),a925,a925),f330(f330(f8(a925,f937(a925,a925),f931(x104281)),a328),f330(f330(f7(f931(x104281),f937(x104281,a925),a925),f330(f330(f8(f937(x104281,a925),f937(f937(x104281,a925),a925),f931(x104281)),f239(f937(x104281,a925))),f175(x104281))),x104282))),f330(f330(f7(f931(x104281),a930,a925),f330(f330(f8(a930,f937(a930,a925),f931(x104281)),f239(a930)),f192(f931(x104281)))),x104283))))) % 242.40/242.47 [10153]~P119(x101531)+E(f330(f330(f248(x101531),x101532),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101533)),f330(f330(f83(x101531),f330(f330(f248(x101531),x101532),x101533)),f330(f330(f248(x101531),x101532),x101533))) % 242.40/242.47 [10184]~P86(x101841)+E(f330(f330(f248(x101841),f330(f330(f248(x101841),x101842),x101843)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f248(x101841),x101842),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x101843))) % 242.40/242.47 [10229]~P142(x102291)+E(f330(f330(f248(x102291),f330(f81(x102291),x102292)),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102293)),f330(f330(f248(x102291),x102292),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102293))) % 242.40/242.47 [10372]~P115(x103721)+P1(f330(f330(f239(x103721),f2(x103721)),f330(f330(f82(x103721),f330(f330(f248(x103721),x103722),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x103721),x103723),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 242.40/242.47 [10239]~P119(x102391)+E(f330(f330(f248(x102391),x102392),f330(a115,f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102393))),f330(f330(f83(x102391),x102392),f330(f330(f83(x102391),f330(f330(f248(x102391),x102392),x102393)),f330(f330(f248(x102391),x102392),x102393)))) % 242.40/242.47 [10289]~P86(x102891)+E(f330(f330(f83(x102891),x102892),f330(f330(f248(x102891),f330(f330(f248(x102891),x102892),x102893)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x102891),x102892),f330(a115,f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102893)))) % 242.40/242.47 [10326]~P115(x103261)+P1(f330(f330(f239(x103261),f2(x103261)),f330(f330(f248(x103261),x103262),f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x103263)))) % 242.40/242.47 [10403]~P98(x104031)+E(f330(f330(f23(x104031),f330(f330(f82(x104031),f330(f330(f248(x104031),x104032),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x104031),x104033),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f330(f330(f83(x104031),f330(f330(f83(x104031),f330(f106(x104031),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x104032)),x104033)),f330(f330(f248(x104031),f330(f330(f23(x104031),x104032),x104033)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [10404]~P98(x104041)+E(f330(f330(f82(x104041),f330(f330(f82(x104041),f330(f330(f248(x104041),x104042),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x104041),x104043),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f330(f330(f83(x104041),f330(f330(f83(x104041),f330(f106(x104041),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x104042)),x104043)),f330(f330(f248(x104041),f330(f330(f82(x104041),x104042),x104043)),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.47 [4912]E(x49121,x49122)+~E(f32(x49123,x49121),f32(x49124,x49122)) % 242.40/242.47 [4913]E(x49131,x49132)+~E(f32(x49131,x49133),f32(x49132,x49134)) % 242.40/242.47 [4914]E(x49141,x49142)+~E(f31(x49143,x49141),f31(x49144,x49142)) % 242.40/242.47 [4915]E(x49151,x49152)+~E(f31(x49151,x49153),f31(x49152,x49154)) % 242.40/242.47 [6064]P46(f31(x60641,x60643),x60642,x60644,x60642)+P1(f330(x60641,x60642)) % 242.40/242.47 [7187]~P46(x71871,x71872,x71873,x71874)+P46(x71871,x71872,f330(a115,x71873),x71874) % 242.40/242.47 [8016]P28(x80161,x80162,x80163,x80164)+~E(f442(x80164,x80163,x80162,x80161),f449(x80164,x80163,x80162,x80161)) % 242.40/242.47 [8320]P39(x83201,x83202,x83203,x83204,f116(x83202))+~E(x83204,f116(x83201)) % 242.40/242.47 [8321]P39(x83211,x83212,x83213,f116(x83211),x83214)+~E(x83214,f116(x83212)) % 242.40/242.47 [8875]~P39(x88752,x88753,x88754,x88751,f116(x88753))+E(x88751,f116(x88752)) % 242.40/242.47 [8876]~P39(x88763,x88762,x88764,f116(x88763),x88761)+E(x88761,f116(x88762)) % 242.40/242.47 [5293]~P20(x52933,x52931,x52934)+E(f330(f330(x52931,x52932),x52932),x52932) % 242.40/242.47 [5543]P1(f330(x55432,x55434))+E(f330(f139(x55431,x55432),f172(x55431,x55433,x55434)),f116(x55431)) % 242.40/242.47 [5580]~E(x55804,f191(f937(x55801,a925)))+E(f330(f313(x55801,x55802,x55803),x55804),f191(f937(x55802,a925))) % 242.40/242.47 [5822]~P1(f330(x58222,x58224))+E(f330(f139(x58221,x58222),f172(x58221,x58223,x58224)),f172(x58221,x58223,x58224)) % 242.40/242.47 [5851]~E(f330(f313(x58512,x58513,x58514),x58511),f191(f937(x58513,a925)))+E(x58511,f191(f937(x58512,a925))) % 242.40/242.47 [6038]~P10(x60381,x60383)+E(f275(x60381,x60382,f274(x60381,x60383),x60384),x60384) % 242.40/242.47 [6144]~P112(x61442)+E(f330(f330(f151(x61441,x61442,x61443),x61444),f116(x61441)),f330(f330(f154(x61441),x61444),f116(x61441))) % 242.40/242.47 [6502]~E(x65021,f191(f937(x65022,a925)))+~P1(f330(f64(x65022,x65023,x65021),x65024)) % 242.40/242.47 [6524]~P65(x65241,x65243,x65244,x65242)+P1(f330(f63(x65241),x65242)) % 242.40/242.47 [6526]~P65(x65261,x65263,x65262,x65264)+P1(f330(f63(x65261),x65262)) % 242.40/242.47 [6533]~P65(x65332,x65333,x65334,x65331)+~E(x65331,f191(f937(x65332,a925))) % 242.40/242.47 [6565]~P113(x65651)+E(f330(f330(f104(f937(x65651,a925)),f330(f305(x65651,x65652),x65653)),f306(x65651,x65653,x65654)),f191(f937(x65651,a925))) % 242.40/242.47 [6591]~P1(f330(f330(x65913,x65914),x65912))+P1(f330(f330(f332(x65911),x65912),f296(x65911,x65913,x65914))) % 242.40/242.47 [6592]~P1(f330(f330(x65923,x65924),x65922))+P1(f330(f330(f332(x65921),x65922),f297(x65921,x65923,x65924))) % 242.40/242.47 [6593]~P1(f330(f330(x65933,x65932),x65934))+P1(f330(f330(f332(x65931),x65932),f298(x65931,x65933,x65934))) % 242.40/242.47 [6594]~P1(f330(f330(x65943,x65942),x65944))+P1(f330(f330(f332(x65941),x65942),f301(x65941,x65943,x65944))) % 242.40/242.47 [6659]~P55(x66594,x66591,x66592,x66593)+P1(f330(f330(x66591,x66592),x66593)) % 242.40/242.47 [6739]~P113(x67391)+E(f330(f330(f104(f937(x67391,a925)),f306(x67391,x67392,x67393)),f309(x67391,x67393,x67394)),f191(f937(x67391,a925))) % 242.40/242.47 [6740]~P113(x67401)+E(f330(f330(f104(f937(x67401,a925)),f306(x67401,x67402,x67403)),f308(x67401,x67403,x67404)),f191(f937(x67401,a925))) % 242.40/242.47 [6741]~P113(x67411)+E(f330(f330(f104(f937(x67411,a925)),f309(x67411,x67412,x67413)),f306(x67411,x67413,x67414)),f191(f937(x67411,a925))) % 242.40/242.47 [6742]~P113(x67421)+E(f330(f330(f104(f937(x67421,a925)),f308(x67421,x67422,x67423)),f309(x67421,x67423,x67424)),f191(f937(x67421,a925))) % 242.40/242.47 [6743]~P113(x67431)+E(f330(f330(f104(f937(x67431,a925)),f308(x67431,x67432,x67433)),f308(x67431,x67433,x67434)),f191(f937(x67431,a925))) % 242.40/242.47 [6780]P1(f330(f330(x67801,x67802),f557(x67802,x67801)))+~P1(f330(f253(x67803,x67804,x67801),x67802)) % 242.40/242.47 [6784]~P55(x67841,x67842,x67843,x67844)+~P1(f330(f330(x67842,x67844),x67843)) % 242.40/242.47 [6860]~P112(x68602)+E(f330(f175(x68601),f153(x68601,x68602,x68603,x68604)),f330(f175(x68601),x68604)) % 242.40/242.47 [6910]~P147(x69101)+E(f193(x69101,x69102,f330(a115,x69103),x69104),f193(x69101,x69102,x69103,f330(x69102,x69104))) % 242.40/242.47 [6969]~P1(f330(f330(f332(x69694),x69693),f296(x69694,x69691,x69692)))+P1(f330(f330(x69691,x69692),x69693)) % 242.40/242.47 [6970]~P1(f330(f330(f332(x69704),x69703),f297(x69704,x69701,x69702)))+P1(f330(f330(x69701,x69702),x69703)) % 242.40/242.47 [6971]~P1(f330(f330(f332(x69714),x69712),f298(x69714,x69711,x69713)))+P1(f330(f330(x69711,x69712),x69713)) % 242.40/242.47 [6972]~P1(f330(f330(f332(x69724),x69722),f301(x69724,x69721,x69723)))+P1(f330(f330(x69721,x69722),x69723)) % 242.40/242.47 [7047]E(f330(f37(f938(x70471,x70472)),f316(x70471,x70472,x70473,x70474)),f2(a930))+P1(f330(f63(x70472),x70474)) % 242.40/242.47 [7048]E(f330(f37(f938(x70481,x70482)),f316(x70481,x70482,x70483,x70484)),f2(a930))+P1(f330(f63(x70481),x70483)) % 242.40/242.47 [7248]~P17(x72484,x72481,x72482)+E(f330(f74(x72481,x72481,x72481,f330(x72482,x72483)),f330(x72482,x72483)),f330(x72482,x72483)) % 242.40/242.47 [7491]E(f281(x74911,x74912,x74913,x74914),f330(f256(f937(a102,f937(a925,f934(f932(x74911)))),f936(a102,a102)),f43(x74911)))+~P1(f330(f330(f239(a102),x74913),f2(a102))) % 242.40/242.47 [7553]~P46(f330(a26,x75531),x75532,f330(a115,x75533),x75534)+P46(f330(f236(a927),f330(a27,x75531)),x75532,x75533,x75534) % 242.40/242.47 [7587]P46(f330(a26,x75871),x75872,f330(a115,x75873),x75874)+~P46(f330(f236(a927),f330(a27,x75871)),x75872,x75873,x75874) % 242.40/242.47 [7873]~P46(f330(a26,x78734),x78733,x78732,x78731)+E(f330(a115,f553(x78731,x78732,x78733,x78734)),x78732) % 242.40/242.47 [8142]~E(x81422,x81423)+P1(f330(f330(f332(f936(x81421,x81421)),f330(f330(f256(x81421,x81421),x81422),x81423)),f310(x81421,x81424))) % 242.40/242.47 [8171]~P28(x81711,x81712,x81713,f246(f937(x81711,a925)))+E(f330(f79(x81711,x81712,f246(f937(x81711,a925)),x81713),f330(x81713,x81714)),x81714) % 242.40/242.47 [8172]~P28(x81721,x81722,x81723,f246(f937(x81721,a925)))+E(f330(f94(x81721,x81722,f246(f937(x81721,a925)),x81723),f330(x81723,x81724)),x81724) % 242.40/242.47 [8264]~P1(f330(f330(f332(f931(x82641)),f330(f330(f154(x82641),x82644),x82642)),f164(x82641,x82643)))+P1(f330(f330(f332(f931(x82641)),x82642),f164(x82641,x82643))) % 242.40/242.47 [8265]~P1(f330(f330(f332(f931(x82651)),f330(f330(f137(x82651),x82654),x82652)),f164(x82651,x82653)))+P1(f330(f330(f332(f931(x82651)),x82652),f164(x82651,x82653))) % 242.40/242.47 [8266]~P1(f330(f330(f332(f931(x82661)),f330(f330(f137(x82661),x82662),x82664)),f164(x82661,x82663)))+P1(f330(f330(f332(f931(x82661)),x82662),f164(x82661,x82663))) % 242.40/242.47 [8282]~P112(x82821)+P16(x82821,f330(f330(f157(x82822,x82821),x82823),f153(x82822,x82821,x82823,x82824))) % 242.40/242.47 [8351]~P46(f330(a26,x83511),x83512,x83514,x83513)+P46(f330(f236(a927),f330(a27,x83511)),x83512,f553(x83513,x83514,x83512,x83511),x83513) % 242.40/242.47 [8385]P28(x83854,x83853,x83851,x83852)+E(f330(x83851,f442(x83852,x83851,x83853,x83854)),f330(x83851,f449(x83852,x83851,x83853,x83854))) % 242.40/242.47 [8494]~P28(x84942,x84941,x84944,x84943)+P28(x84941,x84942,f79(x84942,x84941,x84943,x84944),f330(f313(x84942,x84941,x84944),x84943)) % 242.40/242.47 [8637]P42(f936(x86372,x86374),f284(x86372,x86374,x86371,x86373))+P1(f330(x86371,f545(x86372,x86373,x86374,x86371))) % 242.40/242.47 [8761]E(x87611,x87612)+~P1(f330(f330(f332(f936(x87613,x87613)),f330(f330(f256(x87613,x87613),x87611),x87612)),f267(x87613,x87614))) % 242.40/242.47 [8827]~P1(f330(f63(f938(x88273,x88271)),f316(x88273,x88271,x88274,x88272)))+P1(f330(f63(x88271),x88272)) % 242.40/242.47 [8828]~P1(f330(f63(f938(x88281,x88283)),f316(x88281,x88283,x88282,x88284)))+P1(f330(f63(x88281),x88282)) % 242.40/242.47 [8837]~P28(x88371,x88372,x88373,x88374)+P29(x88371,x88372,x88373,x88374,f330(f313(x88371,x88372,x88373),x88374)) % 242.40/242.47 [8838]P14(x88381,x88382,x88383,x88384)+~E(f330(x88384,f845(x88382,x88384,x88383,x88381)),f330(x88384,f846(x88382,x88384,x88383,x88381))) % 242.40/242.47 [8928]~P29(x89282,x89283,x89284,x89281,f191(f937(x89283,a925)))+E(x89281,f191(f937(x89282,a925))) % 242.40/242.47 [8929]~P29(x89293,x89292,x89294,f191(f937(x89293,a925)),x89291)+E(x89291,f191(f937(x89292,a925))) % 242.40/242.47 [9021]P42(f936(x90211,x90212),f284(x90211,x90212,x90213,x90214))+~P42(x90212,f330(x90214,f545(x90211,x90214,x90212,x90213))) % 242.40/242.47 [9596]E(f330(f330(f162(x95961,x95962),f689(x95963,x95964,x95962,x95961)),f690(x95963,x95964,x95962,x95961)),x95964)+~P1(f330(f330(f332(f936(f931(x95961),f931(x95961))),f330(f330(f256(f931(x95961),f931(x95961)),x95962),x95964)),f160(x95961,x95963))) % 242.40/242.47 [9601]~P1(f330(f330(f332(f936(f931(x96011),f931(x96011))),f330(f330(f256(f931(x96011),f931(x96011)),x96012),x96013)),f148(x96011,x96014)))+P1(f330(f330(f332(f936(f931(x96011),f931(x96011))),f330(f330(f256(f931(x96011),f931(x96011)),x96012),x96013)),f150(x96011,x96014))) % 242.40/242.47 [9711]P1(f330(f63(x97111),x97112))+~P1(f330(f330(f332(f936(f937(x97111,a925),f937(x97111,a925))),f330(f330(f256(f937(x97111,a925),f937(x97111,a925)),x97113),x97112)),f322(x97111,x97114))) % 242.40/242.47 [9712]P1(f330(f63(x97121),x97122))+~P1(f330(f330(f332(f936(f937(x97121,a925),f937(x97121,a925))),f330(f330(f256(f937(x97121,a925),f937(x97121,a925)),x97122),x97123)),f322(x97121,x97124))) % 242.40/242.47 [9715]~E(x97151,f191(f937(x97152,a925)))+~P1(f330(f330(f332(f936(f937(x97152,a925),f937(x97152,a925))),f330(f330(f256(f937(x97152,a925),f937(x97152,a925)),x97153),x97151)),f322(x97152,x97154))) % 242.40/242.47 [10337]P14(x103371,x103372,x103373,x103374)+~P1(f330(f330(f261(x103371,x103371,a925),f330(f330(f7(x103371,f937(x103371,x103372),f937(x103371,a925)),f330(f330(f8(f937(x103372,a925),f937(f937(x103371,x103372),f937(x103371,a925)),x103371),f8(x103372,a925,x103371)),f330(f330(f8(x103372,f937(x103372,a925),x103371),a327),x103374))),x103374)),f563(x103374,x103373,x103372,x103371))) % 242.40/242.47 [5194]~E(x51942,f116(x51941))+E(f330(f330(f162(x51941,x51942),x51943),x51944),f116(x51941)) % 242.40/242.47 [5195]~E(x51954,f116(x51951))+E(f330(f330(f157(x51951,x51952),x51953),x51954),f116(x51952)) % 242.40/242.47 [5426]E(x54261,f116(x54262))+~E(f330(f330(f157(x54262,x54263),x54264),x54261),f116(x54263)) % 242.40/242.47 [5427]E(x54271,f116(x54272))+~E(f330(f330(f162(x54272,x54271),x54273),x54274),f116(x54272)) % 242.40/242.47 [5463]E(x54631,x54632)+~E(f330(f330(f137(x54633),x54634),x54631),f330(f330(f137(x54633),x54634),x54632)) % 242.40/242.47 [5464]E(x54641,x54642)+~E(f330(f330(f137(x54643),x54641),x54644),f330(f330(f137(x54643),x54642),x54644)) % 242.40/242.47 [5616]P1(f330(x56163,x56162))+E(f173(x56161,x56162,f330(f139(x56161,x56163),x56164)),f330(f139(x56161,x56163),x56164)) % 242.40/242.47 [5618]~P1(f330(x56182,x56183))+P38(x56181,x56182,f330(f330(f154(x56181),x56183),x56184)) % 242.40/242.47 [5627]E(x56271,x56272)+~E(f142(a930,f330(f305(a930,x56271),x56273)),f330(f330(f154(a930),x56272),x56274)) % 242.40/242.47 [5675]~P30(x56752,x56753)+P30(x56751,f330(f330(f75(x56752,x56751),x56753),x56754)) % 242.40/242.47 [5676]~P42(x56762,x56763)+P42(x56761,f330(f330(f291(x56762,x56761),x56763),x56764)) % 242.40/242.47 [5677]~P43(x56772,x56773)+P43(x56771,f330(f330(f291(x56772,x56771),x56773),x56774)) % 242.40/242.47 [5678]~P58(x56782,x56783)+P58(x56781,f330(f330(f291(x56782,x56781),x56783),x56784)) % 242.40/242.47 [5806]~P38(x58061,x58062,x58064)+P38(x58061,x58062,f330(f330(f154(x58061),x58063),x58064)) % 242.40/242.47 [5807]~P38(x58071,x58072,x58074)+P38(x58071,x58072,f330(f330(f137(x58071),x58073),x58074)) % 242.40/242.47 [5808]~P38(x58081,x58082,x58083)+P38(x58081,x58082,f330(f330(f137(x58081),x58083),x58084)) % 242.40/242.47 [5894]~E(x58941,f116(x58942))+~E(f330(f330(f137(x58942),x58943),f330(f330(f154(x58942),x58944),f116(x58942))),x58941) % 242.40/242.47 [5919]~P36(x59193,x59191,f330(f330(f154(x59193),x59192),x59194))+P1(f330(x59191,x59192)) % 242.40/242.47 [5929]E(f117(x59291,x59292),x59293)+~E(f330(f330(f137(x59291),x59293),f330(f330(f154(x59291),x59294),f116(x59291))),x59292) % 242.40/242.47 [5930]E(f147(x59301,x59302),x59303)+~E(f330(f330(f137(x59301),x59304),f330(f330(f154(x59301),x59303),f116(x59301))),x59302) % 242.40/242.47 [6040]~E(f142(a930,f330(f305(a930,x60401),x60402)),f330(f330(f154(a930),x60403),x60404))+P1(f330(f330(f240(a930),x60401),x60402)) % 242.40/242.47 [6049]P36(x60491,x60492,x60493)+~P36(x60491,x60492,f330(f330(f154(x60491),x60494),x60493)) % 242.40/242.47 [6050]P36(x60501,x60502,x60503)+~P36(x60501,x60502,f330(f330(f137(x60501),x60504),x60503)) % 242.40/242.47 [6051]P36(x60511,x60512,x60513)+~P36(x60511,x60512,f330(f330(f137(x60511),x60513),x60514)) % 242.40/242.47 [6249]E(x62491,f330(f330(f137(x62492),f330(f171(x62492),x62493)),f330(f330(f154(x62492),x62494),f116(x62492))))+~E(f330(f171(x62492),x62491),f330(f330(f154(x62492),x62494),x62493)) % 242.40/242.47 [6424]~P113(x64241)+E(f330(f330(f104(f937(x64241,a925)),f330(f305(x64241,x64242),x64243)),f330(f305(x64241,x64243),x64244)),f191(f937(x64241,a925))) % 242.40/242.47 [6435]E(f330(f330(f167(x64351),f172(x64351,x64352,x64353)),x64354),x64353)+~P1(f330(f330(f240(a930),x64354),x64352)) % 242.40/242.47 [6462]~P74(x64621)+E(f330(f168(x64621),f330(f330(f157(a1,x64621),x64622),f181(x64623,x64624))),f330(f330(f6(a1,x64621),x64622),f330(f175(a1),f181(x64623,x64624)))) % 242.40/242.47 [6463]~P74(x64631)+E(f330(f330(f6(a1,x64631),x64632),f330(f175(a1),f181(x64633,x64634))),f330(f168(x64631),f330(f330(f157(a1,x64631),x64632),f181(x64633,x64634)))) % 242.40/242.47 [6604]~E(x66042,f330(f330(f137(x66041),f330(f171(x66041),x66044)),f330(f330(f154(x66041),x66043),f116(x66041))))+E(f330(f171(x66041),x66042),f330(f330(f154(x66041),x66043),x66044)) % 242.40/242.47 [6620]~P22(x66202,x66203,x66204,x66201)+E(f330(x66201,f191(f937(x66202,a925))),f33(x66203)) % 242.40/242.47 [6648]~P113(x66481)+E(f330(f330(f104(f937(x66481,a925)),f309(x66481,x66482,x66483)),f330(f305(x66481,x66483),x66484)),f191(f937(x66481,a925))) % 242.40/242.47 [6732]~P46(x67321,x67322,x67324,x67323)+P1(f330(f330(f197(x67321),x67322),x67323)) % 242.40/242.47 [6861]E(x68611,f191(f937(x68612,a925)))+~E(f316(x68613,x68612,x68614,x68611),f191(f937(f938(x68613,x68612),a925))) % 242.40/242.47 [6862]E(x68621,f191(f937(x68622,a925)))+~E(f316(x68622,x68623,x68621,x68624),f191(f937(f938(x68622,x68623),a925))) % 242.40/242.47 [6930]~P112(x69302)+E(f330(f192(f931(x69301)),f153(x69301,x69302,x69303,x69304)),f330(f192(f931(x69301)),x69304)) % 242.40/242.47 [6941]~P1(f330(f254(x69413,x69414,x69411),x69412))+P1(f330(f330(x69411,f550(x69412,x69411)),x69412)) % 242.40/242.47 [6980]~P1(f330(f63(x69802),x69804))+P1(f330(f63(x69801),f330(f313(x69802,x69801,x69803),x69804))) % 242.40/242.47 [7210]~P28(x72102,x72101,x72103,x72104)+E(f330(f37(x72101),f330(f313(x72102,x72101,x72103),x72104)),f330(f37(x72102),x72104)) % 242.40/242.47 [7228]E(f330(f313(x72281,x72282,x72283),f330(f314(x72281,x72282,x72283),x72284)),x72284)+~E(f330(f313(x72281,x72282,x72283),f246(f937(x72281,a925))),f246(f937(x72282,a925))) % 242.40/242.47 [7646]~P28(x76461,x76462,x76463,f246(f937(x76461,a925)))+E(f330(f314(x76461,x76462,x76463),f330(f313(x76461,x76462,x76463),x76464)),x76464) % 242.40/242.47 [7931]E(x79311,x79312)+~P1(f330(f330(f332(x79313),x79311),f330(f175(x79313),f172(x79313,x79314,x79312)))) % 242.40/242.47 [7940]~E(x79401,f2(a930))+~P1(f330(f330(f332(x79402),x79403),f330(f175(x79402),f172(x79402,x79401,x79404)))) % 242.40/242.47 [7974]P1(f330(x79741,x79742))+~P1(f330(f330(f332(x79743),x79742),f330(f175(x79743),f180(x79743,x79741,x79744)))) % 242.40/242.47 [8088]~P1(f330(f330(f332(f931(x80881)),f330(f330(f154(x80881),x80882),x80884)),f164(x80881,x80883)))+P1(f330(f330(f332(x80881),x80882),x80883)) % 242.40/242.47 [8218]~P1(f330(f330(f332(x82181),x82182),f330(f175(x82181),f179(x82181,x82183,x82184))))+P1(f330(f330(f332(x82181),x82182),f330(f175(x82181),x82183))) % 242.40/242.47 [8219]~P1(f330(f330(f332(x82191),x82192),f330(f175(x82191),f173(x82191,x82194,x82193))))+P1(f330(f330(f332(x82191),x82192),f330(f175(x82191),x82193))) % 242.40/242.47 [8220]~P1(f330(f330(f332(x82201),x82202),f330(f175(x82201),f180(x82201,x82204,x82203))))+P1(f330(f330(f332(x82201),x82202),f330(f175(x82201),x82203))) % 242.40/242.47 [8230]E(f330(f192(f931(x82301)),x82302),x82303)+~P1(f330(f330(f332(f931(x82301)),x82302),f330(f175(f931(x82301)),f57(x82301,x82303,x82304)))) % 242.40/242.47 [8335]P1(f330(x83353,x83352))+E(f330(f139(x83351,f330(f330(f8(a925,a925,x83351),a325),f330(a327,x83352))),f330(f139(x83351,x83353),x83354)),f330(f139(x83351,x83353),x83354)) % 242.40/242.47 [8444]E(f330(f330(f167(x84441),f180(x84441,x84442,x84443)),x84444),f330(f330(f167(x84441),x84443),x84444))+~P1(f330(f330(f240(a930),x84444),f330(f192(f931(x84441)),f180(x84441,x84442,x84443)))) % 242.40/242.47 [8532]~P74(x85321)+E(f330(f330(f6(a930,x85321),f330(f330(f8(a930,x85321,a930),x85322),a115)),f330(f305(a930,x85323),x85324)),f330(f330(f6(a930,x85321),x85322),f330(f305(a930,f330(a115,x85323)),f330(a115,x85324)))) % 242.40/242.47 [8542]~P74(x85421)+E(f330(f330(f6(a930,x85421),f330(f330(f8(a930,x85421,a930),x85422),a115)),f306(a930,x85423,x85424)),f330(f330(f6(a930,x85421),x85422),f306(a930,f330(a115,x85423),f330(a115,x85424)))) % 242.40/242.47 [8675]~P28(x86751,x86753,x86754,f246(f937(x86751,a925)))+P28(x86751,f937(x86752,x86753),f330(f330(f8(x86753,f937(x86752,x86753),x86751),f16(x86753,x86752)),x86754),f246(f937(x86751,a925))) % 242.40/242.47 [8769]~P28(x87692,x87691,x87694,x87693)+E(f330(f313(x87691,x87692,f79(x87692,x87691,x87693,x87694)),f330(f313(x87692,x87691,x87694),x87693)),x87693) % 242.40/242.47 [8829]~P1(f330(f330(f332(f936(x88291,x88291)),f330(f330(f256(x88291,x88291),x88292),x88294)),f267(x88291,x88293)))+P1(f330(f330(f332(x88291),x88292),x88293)) % 242.40/242.47 [8952]~P28(x89522,x89521,x89523,f246(f937(x89522,a925)))+E(f330(f313(x89521,x89522,f94(x89522,x89521,f246(f937(x89522,a925)),x89523)),f330(f313(x89522,x89521,x89523),x89524)),x89524) % 242.40/242.47 [9027]~P29(x90271,x90272,x90273,x90274,f246(f937(x90272,a925)))+E(f330(f313(x90271,x90272,x90273),f246(f937(x90271,a925))),f246(f937(x90272,a925))) % 242.40/242.47 [9060]~E(f330(f330(f6(x90601,a930),x90604),x90603),f330(a115,x90602))+P1(f330(f330(f332(x90601),f723(x90602,x90603,x90604,x90601)),x90603)) % 242.40/242.47 [9081]~E(f330(f330(f6(x90814,a930),x90811),x90813),f330(a115,x90812))+P1(f330(f330(f240(a930),f2(a930)),f330(x90811,f723(x90812,x90813,x90811,x90814)))) % 242.40/242.47 [9092]~P1(f330(f63(x90922),x90924))+P1(f330(f330(f239(a930),f330(f37(x90921),f330(f313(x90922,x90921,x90923),x90924))),f330(f37(x90922),x90924))) % 242.40/242.47 [9093]E(f330(f330(f256(x90931,x90932),f661(x90933,x90934,x90932,x90931)),f662(x90933,x90934,x90932,x90931)),x90934)+~P1(f330(f330(f332(f936(x90931,x90932)),x90934),f330(f290(x90932,x90931),x90933))) % 242.40/242.47 [9101]P28(x91011,x91012,x91013,x91014)+P1(f330(f330(f332(x91011),f442(x91014,x91013,x91012,x91011)),x91014)) % 242.40/242.47 [9102]P28(x91021,x91022,x91023,x91024)+P1(f330(f330(f332(x91021),f449(x91024,x91023,x91022,x91021)),x91024)) % 242.40/242.47 [9171]P14(x91711,x91712,x91713,x91714)+P1(f330(f330(f332(f936(x91711,x91711)),f563(x91714,x91713,x91712,x91711)),x91713)) % 242.40/242.47 [9231]P1(f330(x92311,x92312))+~P1(f330(x92311,f330(f330(f256(x92313,x92314),f506(x92314,x92313,x92311)),f507(x92314,x92313,x92311)))) % 242.40/242.47 [9248]E(f330(f192(f931(x92481)),x92482),f330(f192(f931(x92481)),x92483))+~P1(f330(f330(f332(f936(f931(x92481),f931(x92481))),f330(f330(f256(f931(x92481),f931(x92481)),x92482),x92483)),f148(x92481,x92484))) % 242.40/242.47 [9249]E(f330(f192(f931(x92491)),x92492),f330(f192(f931(x92491)),x92493))+~P1(f330(f330(f332(f936(f931(x92491),f931(x92491))),f330(f330(f256(f931(x92491),f931(x92491)),x92492),x92493)),f160(x92491,x92494))) % 242.40/242.47 [9252]E(f330(f192(f931(x92521)),x92522),f330(f192(f931(x92521)),x92523))+~P1(f330(f330(f332(f936(f931(x92521),f931(x92521))),f330(f330(f256(f931(x92521),f931(x92521)),x92522),x92523)),f161(x92521,x92524))) % 242.40/242.47 [9323]P1(f330(f330(f239(a930),f158(x93231,x93232,x93233)),f158(x93231,x93234,x93233)))+P1(f330(f330(f332(x93231),f688(x93234,x93232,x93233,x93231)),f330(f175(x93231),x93233))) % 242.40/242.47 [9326]E(f330(f192(f931(x93261)),x93262),f330(f192(f931(x93261)),x93263))+~P1(f330(f330(f332(f936(f931(x93261),f931(x93261))),f330(f330(f256(f931(x93261),f931(x93261)),x93262),x93263)),f310(f931(x93261),f160(x93261,x93264)))) % 242.40/242.47 [9567]~P28(x95671,x95672,x95673,x95674)+~P1(f330(f330(f240(a930),f330(f37(x95672),f330(f313(x95671,x95672,x95673),x95674))),f330(f37(x95671),x95674))) % 242.40/242.47 [9614]~P1(f330(f330(f332(f936(f931(x96141),f931(x96141))),f330(f330(f256(f931(x96141),f931(x96141)),x96142),x96143)),f160(x96141,x96144)))+P1(f330(f330(f332(f936(f931(x96141),f931(x96141))),f330(f330(f256(f931(x96141),f931(x96141)),x96142),x96143)),f161(x96141,f310(x96141,x96144)))) % 242.40/242.47 [9618]~P1(f330(f330(f332(f936(f931(x96181),f931(x96181))),f330(f330(f256(f931(x96181),f931(x96181)),x96182),x96183)),f161(x96181,x96184)))+P1(f330(f330(f332(f936(f931(x96181),f931(x96181))),f330(f330(f256(f931(x96181),f931(x96181)),x96182),x96183)),f310(f931(x96181),f160(x96181,x96184)))) % 242.40/242.47 [9634]P1(f330(f330(f332(f936(x96341,x96341)),f330(f330(f256(x96341,x96341),x96342),x96343)),f310(x96341,x96344)))+~P1(f330(f330(f332(f936(x96341,x96341)),f330(f330(f256(x96341,x96341),x96342),x96343)),f330(f330(f292(x96341,x96341,x96341),x96344),f310(x96341,x96344)))) % 242.40/242.47 [9821]E(f330(f330(f137(x98211),f705(x98212,x98213,x98214,x98211)),f330(f330(f154(x98211),f706(x98212,x98213,x98214,x98211)),f708(x98212,x98213,x98214,x98211))),x98214)+~P1(f330(f330(f332(f936(f931(x98211),f931(x98211))),f330(f330(f256(f931(x98211),f931(x98211)),x98214),x98213)),f160(x98211,x98212))) % 242.40/242.47 [9822]E(f330(f330(f137(x98221),f705(x98222,x98223,x98224,x98221)),f330(f330(f154(x98221),f707(x98222,x98223,x98224,x98221)),f708(x98222,x98223,x98224,x98221))),x98223)+~P1(f330(f330(f332(f936(f931(x98221),f931(x98221))),f330(f330(f256(f931(x98221),f931(x98221)),x98224),x98223)),f160(x98221,x98222))) % 242.40/242.47 [9900]P1(f330(f330(f332(f936(x99001,x99001)),f330(f330(f256(x99001,x99001),x99002),f621(x99003,x99004,x99002,x99001))),f310(x99001,x99003)))+~P1(f330(f330(f332(f936(x99001,x99001)),f330(f330(f256(x99001,x99001),x99002),x99004)),f330(f330(f292(x99001,x99001,x99001),x99003),f310(x99001,x99003)))) % 242.40/242.47 [9968]P1(f330(f330(f239(a930),f158(x99681,x99682,x99683)),f158(x99681,x99684,x99683)))+~P1(f330(f330(f240(a930),f330(x99682,f688(x99684,x99682,x99683,x99681))),f330(x99684,f688(x99684,x99682,x99683,x99681)))) % 242.40/242.47 [10039]P1(f330(f330(f332(f936(x100391,x100391)),f330(f330(f256(x100391,x100391),f617(x100392,x100393,x100394,x100391)),x100393)),f310(x100391,x100392)))+~P1(f330(f330(f332(f936(x100391,x100391)),f330(f330(f256(x100391,x100391),x100394),x100393)),f330(f330(f292(x100391,x100391,x100391),x100392),f310(x100391,x100392)))) % 242.40/242.47 [5445]~E(x54452,x54453)+E(f173(x54451,x54452,f330(f330(f154(x54451),x54453),x54454)),x54454) % 242.40/242.47 [5573]P1(f330(x55732,x55733))+E(f180(x55731,x55732,f330(f330(f154(x55731),x55733),x55734)),f116(x55731)) % 242.40/242.47 [5639]~P88(x56392)+E(f330(f330(f81(f937(x56391,x56392)),x56393),x56394),f330(f81(x56392),f330(x56393,x56394))) % 242.40/242.47 [5652]~E(x56522,f2(a930))+E(f330(f330(f141(x56521),x56522),f330(f330(f154(x56521),x56523),x56524)),f330(f330(f154(x56521),x56523),x56524)) % 242.40/242.47 [5653]P1(f330(x56532,x56533))+E(f330(f139(x56531,x56532),f330(f330(f154(x56531),x56533),x56534)),f330(f139(x56531,x56532),x56534)) % 242.40/242.47 [5789]~E(x57892,x57894)+P1(f330(f330(f330(f312(x57891),x57892),x57893),x57894)) % 242.40/242.47 [5797]E(x57971,f116(x57972))+E(f147(x57973,f330(f330(f157(x57972,x57973),x57974),x57971)),f330(x57974,f147(x57972,x57971))) % 242.40/242.47 [5811]~E(x58111,f65(x58112,x58114))+E(f330(x58111,f330(f330(f312(x58112),x58113),f191(f937(x58112,a925)))),x58113) % 242.40/242.47 [5846]E(x58461,f116(x58462))+E(f330(f144(x58463),f330(f330(f157(x58462,x58463),x58464),x58461)),f330(x58464,f330(f144(x58462),x58461))) % 242.40/242.47 [5949]~P1(f330(x59493,x59494))+P1(f330(f330(f330(f312(x59491),x59492),x59493),x59494)) % 242.40/242.47 [6070]~P21(x60702,x60704,x60701)+E(f330(x60701,f330(f330(f312(x60702),x60703),f191(f937(x60702,a925)))),x60703) % 242.40/242.47 [6097]~E(x60972,x60973)+P1(f330(f330(f332(x60971),x60972),f330(f330(f312(x60971),x60973),x60974))) % 242.40/242.47 [6102]~P2(x61021)+E(f330(f330(f113(x61021),x61022),f330(f330(f113(x61021),x61023),x61024)),f330(f330(f113(x61021),x61023),f330(f330(f113(x61021),x61022),x61024))) % 242.40/242.47 [6104]~P105(x61041)+E(f330(f330(f113(x61041),x61042),f330(f330(f113(x61041),x61043),x61044)),f330(f330(f113(x61041),x61043),f330(f330(f113(x61041),x61042),x61044))) % 242.40/242.47 [6105]~P2(x61051)+E(f330(f330(f104(x61051),x61052),f330(f330(f104(x61051),x61053),x61054)),f330(f330(f104(x61051),x61053),f330(f330(f104(x61051),x61052),x61054))) % 242.40/242.47 [6107]~P106(x61071)+E(f330(f330(f104(x61071),x61072),f330(f330(f104(x61071),x61073),x61074)),f330(f330(f104(x61071),x61073),f330(f330(f104(x61071),x61072),x61074))) % 242.40/242.47 [6108]~P119(x61081)+E(f330(f330(f82(x61081),x61082),f330(f330(f82(x61081),x61083),x61084)),f330(f330(f82(x61081),x61083),f330(f330(f82(x61081),x61082),x61084))) % 242.40/242.47 [6110]~P112(x61101)+E(f330(f330(f237(x61101),x61102),f330(f330(f237(x61101),x61103),x61104)),f330(f330(f237(x61101),x61103),f330(f330(f237(x61101),x61102),x61104))) % 242.40/242.47 [6112]~P112(x61121)+E(f330(f330(f238(x61121),x61122),f330(f330(f238(x61121),x61123),x61124)),f330(f330(f238(x61121),x61123),f330(f330(f238(x61121),x61122),x61124))) % 242.40/242.47 [6113]~P119(x61131)+E(f330(f330(f83(x61131),x61132),f330(f330(f83(x61131),x61133),x61134)),f330(f330(f83(x61131),x61133),f330(f330(f83(x61131),x61132),x61134))) % 242.40/242.47 [6118]E(x61181,x61182)+E(f173(x61183,x61181,f330(f330(f154(x61183),x61182),x61184)),f330(f330(f154(x61183),x61182),f173(x61183,x61181,x61184))) % 242.40/242.47 [6131]~P1(f330(x61312,x61313))+E(f330(f139(x61311,x61312),f330(f330(f154(x61311),x61313),x61314)),f330(f330(f154(x61311),x61313),f330(f139(x61311,x61312),x61314))) % 242.40/242.47 [6269]~P1(f330(x62692,x62693))+E(f180(x62691,x62692,f330(f330(f154(x62691),x62693),x62694)),f330(f330(f154(x62691),x62693),f180(x62691,x62692,x62694))) % 242.40/242.47 [6334]E(x63341,f191(f937(x63342,a925)))+E(f330(f330(f41(x63342,f937(x63343,a925)),x63341),f330(f16(f937(x63343,a925),x63342),x63344)),x63344) % 242.40/242.47 [6335]E(x63351,f191(f937(x63352,a925)))+E(f330(f330(f42(x63352,f937(x63353,a925)),x63351),f330(f16(f937(x63353,a925),x63352),x63354)),x63354) % 242.40/242.47 [6344]~E(x63444,f191(f937(x63442,a925)))+E(f330(f330(f258(x63441,x63442),x63443),f330(f16(f937(x63442,a925),x63441),x63444)),f191(f937(f936(x63441,x63442),a925))) % 242.40/242.47 [6345]~E(x63453,f191(f937(x63451,a925)))+E(f330(f330(f258(x63451,x63452),x63453),f330(f16(f937(x63452,a925),x63451),x63454)),f191(f937(f936(x63451,x63452),a925))) % 242.40/242.47 [6397]E(x63971,f2(a930))+E(f330(f330(f141(x63972),x63971),f330(f330(f154(x63972),x63973),x63974)),f330(f330(f141(x63972),f330(f330(f23(a930),x63971),f80(a930))),x63974)) % 242.40/242.47 [6418]E(x64181,f191(f937(x64182,a925)))+E(f330(f313(x64182,x64183,f330(f16(x64183,x64182),x64184)),x64181),f330(f330(f312(x64183),x64184),f191(f937(x64183,a925)))) % 242.40/242.47 [6421]E(f330(f314(x64211,x64212,f330(f16(x64212,x64211),x64213)),x64214),f191(f937(x64211,a925)))+P1(f330(f330(f332(x64212),x64213),x64214)) % 242.40/242.47 [6486]~E(x64863,f191(f937(x64861,a925)))+E(f330(f330(f41(x64861,f937(x64862,a925)),x64863),f330(f16(f937(x64862,a925),x64861),x64864)),f191(f937(x64862,a925))) % 242.40/242.47 [6487]~E(x64873,f191(f937(x64871,a925)))+E(f330(f330(f42(x64871,f937(x64872,a925)),x64873),f330(f16(f937(x64872,a925),x64871),x64874)),f246(f937(x64872,a925))) % 242.40/242.47 [6489]~P67(x64891)+E(f47(x64891,f330(f330(f83(x64891),x64892),x64893),f330(f330(f83(x64891),x64892),x64894)),f330(f330(f83(x64891),x64892),f47(x64891,x64893,x64894))) % 242.40/242.47 [6658]E(f330(f314(x66581,x66582,f330(f16(x66582,x66581),x66583)),x66584),f246(f937(x66581,a925)))+~P1(f330(f330(f332(x66582),x66583),x66584)) % 242.40/242.47 [6683]~P1(f330(f330(f332(x66831),x66832),x66834))+P1(f330(f330(f332(x66831),x66832),f330(f330(f312(x66831),x66833),x66834))) % 242.40/242.47 [6688]P1(f330(x66881,x66882))+~P1(f330(f163(x66883,x66881),f330(f330(f154(x66883),x66882),x66884))) % 242.40/242.47 [6697]~E(x66973,f330(f330(f23(a930),f330(f192(f931(x66971)),x66972)),f80(a930)))+E(f117(x66971,f330(f330(f162(x66971,x66972),x66973),x66974)),f117(x66971,x66972)) % 242.40/242.47 [6715]~P112(x67151)+E(f330(f330(f104(f937(x67151,a925)),f330(f304(x67151),x67152)),f306(x67151,x67153,x67154)),f306(x67151,x67153,f330(f330(f237(x67151),x67152),x67154))) % 242.40/242.47 [6716]~P112(x67161)+E(f330(f330(f104(f937(x67161,a925)),f330(f287(x67161),x67162)),f306(x67161,x67163,x67164)),f306(x67161,f330(f330(f238(x67161),x67162),x67163),x67164)) % 242.40/242.47 [6734]E(f330(f330(f104(f937(x67341,a925)),x67342),f330(f330(f312(x67341),x67343),x67344)),f330(f330(f104(f937(x67341,a925)),x67342),x67344))+P1(f330(f330(f332(x67341),x67343),x67342)) % 242.40/242.47 [6746]E(f173(x67461,x67462,f330(f330(f137(x67461),x67463),x67464)),f330(f330(f137(x67461),x67463),f173(x67461,x67462,x67464)))+P1(f330(f330(f332(x67461),x67462),f330(f175(x67461),x67463))) % 242.40/242.47 [6751]~P86(x67511)+E(f330(f330(f83(x67511),f330(f330(f248(x67511),x67512),x67513)),f330(f330(f248(x67511),x67512),x67514)),f330(f330(f248(x67511),x67512),f330(f330(f82(a930),x67513),x67514))) % 242.40/242.47 [6752]~P119(x67521)+E(f330(f330(f83(x67521),f330(f330(f248(x67521),x67522),x67523)),f330(f330(f248(x67521),x67522),x67524)),f330(f330(f248(x67521),x67522),f330(f330(f82(a930),x67523),x67524))) % 242.40/242.47 [6789]~P103(x67891)+E(f330(f330(f104(x67891),f330(f330(f113(x67891),x67892),x67893)),f330(f330(f113(x67891),x67892),x67894)),f330(f330(f113(x67891),x67892),f330(f330(f104(x67891),x67893),x67894))) % 242.40/242.47 [6790]~P103(x67901)+E(f330(f330(f113(x67901),f330(f330(f104(x67901),x67902),x67903)),f330(f330(f104(x67901),x67902),x67904)),f330(f330(f104(x67901),x67902),f330(f330(f113(x67901),x67903),x67904))) % 242.40/242.47 [6791]~P112(x67911)+E(f330(f330(f238(x67911),f330(f330(f237(x67911),x67912),x67913)),f330(f330(f237(x67911),x67912),x67914)),f330(f330(f237(x67911),x67912),f330(f330(f238(x67911),x67913),x67914))) % 242.40/242.47 [6792]~P112(x67921)+E(f330(f330(f237(x67921),f330(f330(f238(x67921),x67922),x67923)),f330(f330(f238(x67921),x67922),x67924)),f330(f330(f238(x67921),x67922),f330(f330(f237(x67921),x67923),x67924))) % 242.40/242.47 [6793]~P119(x67931)+E(f330(f330(f82(x67931),f330(f330(f83(x67931),x67932),x67933)),f330(f330(f83(x67931),x67932),x67934)),f330(f330(f83(x67931),x67932),f330(f330(f82(x67931),x67933),x67934))) % 242.40/242.47 [6826]~P67(x68261)+E(f47(x68261,f330(f330(f83(x68261),x68262),x68263),f330(f330(f83(x68261),x68264),x68263)),f330(f330(f83(x68261),f47(x68261,x68262,x68264)),x68263)) % 242.40/242.47 [6829]~E(f330(f192(f931(x68291)),x68293),f330(f192(f931(x68292)),x68294))+E(f330(f330(f157(f936(x68291,x68292),x68292),f260(x68291,x68292)),f330(f330(f184(x68291,x68292),x68293),x68294)),x68294) % 242.40/242.47 [6830]~E(f330(f192(f931(x68301)),x68303),f330(f192(f931(x68302)),x68304))+E(f330(f330(f157(f936(x68301,x68302),x68301),f255(x68301,x68302)),f330(f330(f184(x68301,x68302),x68303),x68304)),x68303) % 242.40/242.47 [6835]P1(f330(f163(x68351,x68352),x68353))+~P1(f330(f163(x68351,x68352),f330(f330(f154(x68351),x68354),x68353))) % 242.40/242.47 [6836]P1(f330(f163(x68361,x68362),x68363))+~P1(f330(f163(x68361,x68362),f330(f330(f137(x68361),x68364),x68363))) % 242.40/242.47 [6837]P1(f330(f163(x68371,x68372),x68373))+~P1(f330(f163(x68371,x68372),f330(f330(f137(x68371),x68373),x68374))) % 242.40/242.47 [6842]~P68(x68421)+E(f47(x68421,f330(f330(f23(x68421),x68422),f47(x68421,x68423,x68424)),x68424),f47(x68421,f330(f330(f23(x68421),x68422),x68423),x68424)) % 242.40/242.47 [6844]~P67(x68441)+E(f47(x68441,f330(f330(f83(x68441),x68442),f47(x68441,x68443,x68444)),x68444),f47(x68441,f330(f330(f83(x68441),x68442),x68443),x68444)) % 242.40/242.47 [6845]~P67(x68451)+E(f47(x68451,f330(f330(f82(x68451),x68452),f47(x68451,x68453,x68454)),x68454),f47(x68451,f330(f330(f82(x68451),x68452),x68453),x68454)) % 242.40/242.47 [6923]~P112(x69231)+E(f330(f330(f104(f937(x69231,a925)),f306(x69231,x69232,x69233)),f330(f304(x69231),x69234)),f306(x69231,x69232,f330(f330(f237(x69231),x69233),x69234))) % 242.40/242.47 [6924]~P112(x69241)+E(f330(f330(f104(f937(x69241,a925)),f306(x69241,x69242,x69243)),f330(f287(x69241),x69244)),f306(x69241,f330(f330(f238(x69241),x69242),x69244),x69243)) % 242.40/242.47 [6927]~E(f330(f192(f931(x69271)),x69273),f330(f192(f931(x69272)),x69274))+E(f330(f330(f184(x69271,x69272),f330(f171(x69271),x69273)),f330(f171(x69272),x69274)),f330(f171(f936(x69271,x69272)),f330(f330(f184(x69271,x69272),x69273),x69274))) % 242.40/242.47 [6938]E(x69381,f330(f330(f23(a930),f330(f192(f931(x69382)),x69383)),f80(a930)))+E(f117(x69382,f330(f330(f162(x69382,x69383),x69381),x69384)),f330(f330(f162(x69382,f117(x69382,x69383)),x69381),x69384)) % 242.40/242.47 [6952]~P1(f330(f140(x69522),x69524))+P1(f330(f140(f936(x69521,x69522)),f330(f330(f184(x69521,x69522),x69523),x69524))) % 242.40/242.47 [6953]~P1(f330(f140(x69531),x69533))+P1(f330(f140(f936(x69531,x69532)),f330(f330(f184(x69531,x69532),x69533),x69534))) % 242.40/242.47 [7213]E(f330(f330(f38(a930),x72131),x72132),x72133)+~P1(f330(f50(x72131,x72132),f330(f330(f256(a930,a930),x72133),x72134))) % 242.40/242.47 [7236]E(f47(a930,x72361,x72362),x72363)+~P1(f330(f50(x72361,x72362),f330(f330(f256(a930,a930),x72364),x72363))) % 242.40/242.47 [7239]P1(f330(f140(x72391),x72392))+~P1(f330(f140(x72393),f330(f330(f157(x72391,x72393),x72394),x72392))) % 242.40/242.47 [7322]E(f173(x73221,x73222,f330(f330(f137(x73221),x73223),x73224)),f330(f330(f137(x73221),f173(x73221,x73222,x73223)),x73224))+~P1(f330(f330(f332(x73221),x73222),f330(f175(x73221),x73223))) % 242.40/242.48 [7413]~P68(x74131)+E(f47(x74131,f330(f330(f23(x74131),f47(x74131,x74132,x74133)),x74134),x74133),f47(x74131,f330(f330(f23(x74131),x74132),x74134),x74133)) % 242.40/242.48 [7416]~P67(x74161)+E(f47(x74161,f330(f330(f82(x74161),f47(x74161,x74162,x74163)),x74164),x74163),f47(x74161,f330(f330(f82(x74161),x74162),x74164),x74163)) % 242.40/242.48 [7417]~P67(x74171)+E(f47(x74171,f330(f330(f83(x74171),f47(x74171,x74172,x74173)),x74174),x74173),f47(x74171,f330(f330(f83(x74171),x74172),x74174),x74173)) % 242.40/242.48 [7617]~E(x76171,f330(f330(f154(x76172),x76173),x76174))+~P1(f330(f330(f239(a930),f330(f192(f931(x76172)),x76171)),f330(f192(f931(x76172)),x76174))) % 242.40/242.48 [7824]P28(x78241,x78242,x78243,f330(f175(x78241),x78244))+~P1(f330(f140(x78242),f330(f330(f157(x78241,x78242),x78243),x78244))) % 242.40/242.48 [7898]~P1(f330(f330(f239(f937(x78981,a925)),x78982),x78984))+P1(f330(f330(f239(f937(x78981,a925)),x78982),f330(f330(f312(x78981),x78983),x78984))) % 242.40/242.48 [7932]~P68(x79321)+E(f47(x79321,f330(f330(f23(x79321),f47(x79321,x79322,x79323)),f47(x79321,x79324,x79323)),x79323),f47(x79321,f330(f330(f23(x79321),x79322),x79324),x79323)) % 242.40/242.48 [7933]~P67(x79331)+E(f47(x79331,f330(f330(f82(x79331),f47(x79331,x79332,x79333)),f47(x79331,x79334,x79333)),x79333),f47(x79331,f330(f330(f82(x79331),x79332),x79334),x79333)) % 242.40/242.48 [7934]~P67(x79341)+E(f47(x79341,f330(f330(f83(x79341),f47(x79341,x79342,x79343)),f47(x79341,x79344,x79343)),x79343),f47(x79341,f330(f330(f83(x79341),x79342),x79344),x79343)) % 242.40/242.48 [8039]~E(f330(x80394,f450(x80394,x80393,x80391,x80392)),f191(f937(x80392,a925)))+E(f330(f330(f41(x80391,f937(x80392,a925)),x80393),x80394),f191(f937(x80392,a925))) % 242.40/242.48 [8040]~E(f330(x80404,f609(x80404,x80403,x80401,x80402)),f246(f937(x80402,a925)))+E(f330(f330(f42(x80401,f937(x80402,a925)),x80403),x80404),f246(f937(x80402,a925))) % 242.40/242.48 [8041]~E(f330(x80414,f455(x80414,x80413,x80412,x80411)),f191(f937(x80412,a925)))+E(f330(f330(f41(x80411,f937(x80412,a925)),x80413),x80414),f191(f937(x80412,a925))) % 242.40/242.48 [8042]~E(f330(x80424,f610(x80424,x80423,x80422,x80421)),f246(f937(x80422,a925)))+E(f330(f330(f42(x80421,f937(x80422,a925)),x80423),x80424),f246(f937(x80422,a925))) % 242.40/242.48 [8445]P1(f330(x84451,x84452))+~P1(f330(f330(f332(x84453),x84452),f330(f330(f104(f937(x84453,a925)),x84454),f330(f266(x84453),x84451)))) % 242.40/242.48 [8483]~P1(f330(f330(f239(f937(x84831,a925)),x84833),x84834))+P1(f330(f330(f239(f937(x84831,a925)),f330(f330(f312(x84831),x84832),x84833)),f330(f330(f312(x84831),x84832),x84834))) % 242.40/242.48 [8493]E(f330(x84931,f657(x84931,x84932,x84933)),x84933)+~P1(f330(f330(f332(x84934),x84933),f330(f313(x84932,x84934,x84931),f246(f937(x84932,a925))))) % 242.40/242.48 [8658]P1(f330(f330(f197(x86581),x86582),f410(x86583,x86582,x86584,x86581)))+~P1(f330(f330(f197(f32(x86581,x86584)),x86582),x86583)) % 242.40/242.48 [8659]P1(f330(f330(f197(x86591),x86592),f425(x86593,x86592,x86594,x86591)))+~P1(f330(f330(f197(f32(x86591,x86594)),x86592),x86593)) % 242.40/242.48 [8668]P1(f330(x86682,x86683))+E(f330(f330(f141(x86681),f330(f192(f931(x86681)),f180(x86681,x86682,f330(f330(f154(x86681),x86683),x86684)))),f330(f330(f154(x86681),x86683),x86684)),f330(f330(f154(x86681),x86683),x86684)) % 242.40/242.48 [8783]~P1(f330(f330(f240(a930),f330(x87834,x87832)),f330(x87834,x87833)))+P1(f330(f330(f332(f936(x87831,x87831)),f330(f330(f256(x87831,x87831),x87832),x87833)),f330(f330(f291(a930,x87831),a244),x87834))) % 242.40/242.48 [8879]~P1(f330(x88792,f761(x88794,x88792,x88793,x88791)))+E(f180(x88791,x88792,f330(f330(f137(x88791),x88793),x88794)),f330(f330(f137(x88791),x88793),f180(x88791,x88792,x88794))) % 242.40/242.48 [8956]P28(f931(x89561),f931(x89562),f330(f157(x89561,x89562),x89563),x89564)+~P28(x89561,x89562,x89563,f39(f937(x89561,a925),f330(f313(f931(x89561),f937(x89561,a925),f175(x89561)),x89564))) % 242.40/242.48 [9031]~P1(f330(x90312,x90313))+E(f330(f330(f141(x90311),f330(f192(f931(x90311)),f180(x90311,x90312,f330(f330(f154(x90311),x90313),x90314)))),f330(f330(f154(x90311),x90313),x90314)),f330(f330(f141(x90311),f330(f192(f931(x90311)),f180(x90311,x90312,x90314))),x90314)) % 242.40/242.48 [9072]~E(x90722,x90723)+E(f330(f139(x90721,f330(f330(f8(a925,a925,x90721),a325),f330(a327,x90722))),f330(f330(f154(x90721),x90723),x90724)),f330(f139(x90721,f330(f330(f8(a925,a925,x90721),a325),f330(a327,x90722))),x90724)) % 242.40/242.48 [9082]E(f330(f330(f41(x90821,f937(x90822,a925)),x90823),x90824),f191(f937(x90822,a925)))+P1(f330(f330(f332(x90821),f450(x90824,x90823,x90821,x90822)),x90823)) % 242.40/242.48 [9083]E(f330(f330(f42(x90831,f937(x90832,a925)),x90833),x90834),f246(f937(x90832,a925)))+P1(f330(f330(f332(x90831),f609(x90834,x90833,x90831,x90832)),x90833)) % 242.40/242.48 [9084]E(f330(f330(f41(x90841,f937(x90842,a925)),x90843),x90844),f191(f937(x90842,a925)))+P1(f330(f330(f332(x90841),f455(x90844,x90843,x90842,x90841)),x90843)) % 242.40/242.48 [9085]E(f330(f330(f42(x90851,f937(x90852,a925)),x90853),x90854),f246(f937(x90852,a925)))+P1(f330(f330(f332(x90851),f610(x90854,x90853,x90852,x90851)),x90853)) % 242.40/242.48 [9123]P1(f330(f330(f240(a930),f330(x91231,x91232)),f330(x91231,x91233)))+~P1(f330(f330(f332(f936(x91234,x91234)),f330(f330(f256(x91234,x91234),x91232),x91233)),f330(f330(f291(a930,x91234),a244),x91231))) % 242.40/242.48 [9149]E(f180(x91491,x91492,f330(f330(f137(x91491),x91493),x91494)),f330(f330(f137(x91491),x91493),f180(x91491,x91492,x91494)))+P1(f330(f330(f332(x91491),f761(x91494,x91492,x91493,x91491)),f330(f175(x91491),x91493))) % 242.40/242.48 [9189]P1(f330(f330(f197(x91891),f410(x91892,x91893,x91891,x91894)),x91892))+~P1(f330(f330(f197(f32(x91894,x91891)),x91893),x91892)) % 242.40/242.48 [9190]P1(f330(f330(f197(x91901),f425(x91902,x91903,x91901,x91904)),x91902))+~P1(f330(f330(f197(f32(x91904,x91901)),x91903),x91902)) % 242.40/242.48 [9207]~P29(x92071,x92072,x92073,f246(f937(x92071,a925)),f246(f937(x92072,a925)))+E(f330(f313(x92071,x92072,x92073),f330(f81(f937(x92071,a925)),x92074)),f330(f81(f937(x92072,a925)),f330(f313(x92071,x92072,x92073),x92074))) % 242.40/242.48 [9312]P1(f330(f330(f332(x93121),f483(x93122,x93123,x93124,x93121)),x93123))+~P1(f330(f330(f332(f937(x93121,a925)),x93124),f330(f330(f62(x93121),x93123),x93122))) % 242.40/242.48 [9315]E(x93151,x93152)+~P1(f330(f330(f332(f936(x93153,x93153)),f330(f330(f256(x93153,x93153),x93151),x93152)),f330(f330(f186(f936(x93153,x93153),a925),f2(a930)),x93154))) % 242.40/242.48 [9397]E(f330(f289(x93971,x93971,x93972),f330(f330(f312(x93971),f483(x93972,x93973,x93974,x93971)),f191(f937(x93971,a925)))),x93974)+~P1(f330(f330(f332(f937(x93971,a925)),x93974),f330(f330(f62(x93971),x93973),x93972))) % 242.40/242.48 [9406]~P1(f330(f330(f332(f936(x94061,x94061)),f330(f330(f256(x94061,x94061),x94063),x94062)),f310(x94061,x94064)))+P1(f330(f330(f332(f936(x94061,x94061)),f330(f330(f256(x94061,x94061),x94062),x94063)),f310(x94061,f330(f290(x94061,x94061),x94064)))) % 242.40/242.48 [9421]~P67(x94211)+E(f330(f330(f82(x94211),f330(f330(f82(x94211),f330(f330(f83(x94211),x94212),f330(f330(f38(x94211),x94213),x94212))),f47(x94211,x94213,x94212))),x94214),f330(f330(f82(x94211),x94213),x94214)) % 242.40/242.48 [9432]~P1(f330(f330(f332(x94321),x94323),x94324))+P1(f330(f330(f332(f937(x94321,a925)),f330(f289(x94321,x94321,x94322),f330(f330(f312(x94321),x94323),f191(f937(x94321,a925))))),f330(f330(f62(x94321),x94324),x94322))) % 242.40/242.48 [9444]P1(f330(f330(f332(f936(x94441,x94441)),f330(f330(f256(x94441,x94441),x94442),x94443)),f310(x94441,x94444)))+~P1(f330(f330(f332(f936(x94441,x94441)),f330(f330(f256(x94441,x94441),x94443),x94442)),f310(x94441,f330(f290(x94441,x94441),x94444)))) % 242.40/242.48 [9528]E(f330(f330(f162(x95281,f330(f171(x95281),x95282)),f330(f330(f23(a930),f330(f330(f23(a930),f330(f192(f931(x95281)),x95282)),x95283)),f80(a930))),x95284),f330(f171(x95281),f330(f330(f162(x95281,x95282),x95283),x95284)))+~P1(f330(f330(f240(a930),x95283),f330(f192(f931(x95281)),x95282))) % 242.40/242.48 [9531]~P1(f330(x95312,f755(x95314,x95312,x95313,x95311)))+E(f330(f330(f141(x95311),f330(f192(f931(x95311)),f180(x95311,x95312,f330(f330(f137(x95311),x95313),x95314)))),f330(f330(f137(x95311),x95313),x95314)),f330(f330(f141(x95311),f330(f192(f931(x95311)),f180(x95311,x95312,x95314))),x95314)) % 242.40/242.48 [9575]~P28(x95752,x95751,x95753,f246(f937(x95752,a925)))+P1(f330(f330(f239(f937(x95751,a925)),f330(f313(x95752,x95751,x95753),f330(f81(f937(x95752,a925)),x95754))),f330(f81(f937(x95751,a925)),f330(f313(x95752,x95751,x95753),x95754)))) % 242.40/242.48 [9587]~P8(x95871)+E(f330(f145(x95871,x95872,f330(f7(x95872,x95871,x95871),f330(f330(f8(x95871,f937(x95871,x95871),x95872),f113(x95871)),x95873)),f191(x95871)),x95874),f330(f330(f41(x95872,x95871),f330(f175(x95872),x95874)),x95873)) % 242.40/242.48 [9588]~P8(x95881)+E(f330(f145(x95881,x95882,f330(f7(x95882,x95881,x95881),f330(f330(f8(x95881,f937(x95881,x95881),x95882),f104(x95881)),x95883)),f246(x95881)),x95884),f330(f330(f42(x95882,x95881),f330(f175(x95882),x95884)),x95883)) % 242.40/242.48 [9598]E(f330(f330(f141(x95981),f330(f192(f931(x95981)),f180(x95981,x95982,f330(f330(f137(x95981),x95983),x95984)))),f330(f330(f137(x95981),x95983),x95984)),f330(f330(f141(x95981),f330(f192(f931(x95981)),f180(x95981,x95982,x95984))),x95984))+P1(f330(f330(f332(x95981),f755(x95984,x95982,x95983,x95981)),f330(f175(x95981),x95983))) % 242.40/242.48 [9668]~P1(f330(f330(f332(f936(f931(x96684),f931(x96684))),f330(f330(f256(f931(x96684),f931(x96684)),x96683),x96682)),f160(x96684,x96681)))+P1(f330(f330(f240(a930),f689(x96681,x96682,x96683,x96684)),f330(f192(f931(x96684)),x96683))) % 242.40/242.48 [9669]~P67(x96691)+E(f330(f330(f82(x96691),f330(f330(f82(x96691),f330(f330(f83(x96691),f330(f330(f38(x96691),x96692),x96693)),x96693)),f47(x96691,x96692,x96693))),x96694),f330(f330(f82(x96691),x96692),x96694)) % 242.40/242.48 [9697]~P1(f330(f330(f332(f936(f931(x96971),f931(x96971))),f330(f330(f256(f931(x96971),f931(x96971)),x96972),x96973)),f330(f290(f931(x96971),f931(x96971)),f160(x96971,x96974))))+P1(f330(f330(f332(f936(f931(x96971),f931(x96971))),f330(f330(f256(f931(x96971),f931(x96971)),x96972),x96973)),f160(x96971,f330(f290(x96971,x96971),x96974)))) % 242.40/242.48 [9698]P1(f330(f330(f332(f936(f931(x96981),f931(x96981))),f330(f330(f256(f931(x96981),f931(x96981)),x96982),x96983)),f330(f290(f931(x96981),f931(x96981)),f160(x96981,x96984))))+~P1(f330(f330(f332(f936(f931(x96981),f931(x96981))),f330(f330(f256(f931(x96981),f931(x96981)),x96982),x96983)),f160(x96981,f330(f290(x96981,x96981),x96984)))) % 242.40/242.48 [9737]~P1(f330(f330(f332(x97371),x97373),f330(f268(x97371,x97372),x97374)))+P1(f330(f330(f332(f936(x97371,x97372)),f330(f330(f256(x97371,x97372),x97373),f554(x97374,x97372,x97373,x97371))),x97374)) % 242.40/242.48 [9738]~P1(f330(f330(f332(x97381),x97383),f330(f268(x97381,x97382),x97384)))+P1(f330(f330(f332(f936(x97381,x97382)),f330(f330(f256(x97381,x97382),x97383),f558(x97384,x97382,x97383,x97381))),x97384)) % 242.40/242.48 [9895]~P1(f330(f330(f332(f936(x98951,x98951)),f330(f330(f256(x98951,x98951),x98952),x98954)),f330(f330(f292(x98951,x98951,x98951),x98953),f310(x98951,x98953))))+P1(f330(f330(f332(f936(x98951,x98951)),f330(f330(f256(x98951,x98951),x98952),f617(x98953,x98954,x98952,x98951))),x98953)) % 242.40/242.48 [10053]P14(x100531,x100532,x100533,x100534)+P1(f330(f330(f332(f936(x100531,x100531)),f330(f330(f256(x100531,x100531),f846(x100532,x100534,x100533,x100531)),f845(x100532,x100534,x100533,x100531))),x100533)) % 242.40/242.48 [10060]~P1(f330(f330(f332(f936(x100602,x100601)),x100604),f330(f290(x100601,x100602),x100603)))+P1(f330(f330(f332(f936(x100601,x100602)),f330(f330(f256(x100601,x100602),f662(x100603,x100604,x100601,x100602)),f661(x100603,x100604,x100601,x100602))),x100603)) % 242.40/242.48 [10084]~P1(f330(f330(f332(f936(f931(x100841),f931(x100841))),f330(f330(f256(f931(x100841),f931(x100841)),x100844),x100843)),f160(x100841,x100842)))+P1(f330(f330(f332(f936(x100841,x100841)),f330(f330(f256(x100841,x100841),f706(x100842,x100843,x100844,x100841)),f707(x100842,x100843,x100844,x100841))),x100842)) % 242.40/242.48 [10174]~P1(f330(f330(f332(f936(f931(x101741),f931(x101741))),f330(f330(f256(f931(x101741),f931(x101741)),x101742),x101744)),f160(x101741,x101743)))+P1(f330(f330(f332(f936(x101741,x101741)),f330(f330(f256(x101741,x101741),f330(f330(f167(x101741),x101742),f689(x101743,x101744,x101742,x101741))),f690(x101743,x101744,x101742,x101741))),x101743)) % 242.40/242.48 [10195]~P1(f330(f63(x101952),x101954))+E(f330(f330(f330(f67(f937(x101951,a925),x101952,f113(f937(x101951,a925))),f330(f330(f7(x101952,f937(x101951,a925),f937(x101951,a925)),f330(f330(f8(x101951,f937(f937(x101951,a925),f937(x101951,a925)),x101952),f312(x101951)),x101953)),f191(f937(x101951,a925)))),f191(f937(x101951,a925))),x101954),f330(f313(x101952,x101951,x101953),x101954)) % 242.40/242.48 [10290]~P28(x102901,x102902,x102903,f246(f937(x102901,a925)))+P1(f330(f330(f239(f937(x102901,a925)),f330(f314(x102901,x102902,x102903),f330(f330(f312(x102902),x102904),f191(f937(x102902,a925))))),f330(f330(f312(x102901),f87(x102901,f330(f330(f7(x102901,x102902,a925),f330(f330(f8(x102902,f937(x102902,a925),x102901),a327),x102903)),x102904))),f191(f937(x102901,a925))))) % 242.40/242.48 [5857]~E(f330(f330(f137(x58571),x58572),x58574),x58573)+E(f330(f330(f178(x58571),f330(f192(f931(x58571)),x58572)),x58573),x58572) % 242.40/242.48 [5858]~E(f330(f330(f137(x58582),x58583),x58581),x58584)+E(x58581,f330(f330(f141(x58582),f330(f192(f931(x58582)),x58583)),x58584)) % 242.40/242.48 [5869]~E(x58694,f2(a930))+E(f330(f330(f167(x58691),f330(f330(f154(x58691),x58692),x58693)),x58694),x58692) % 242.40/242.48 [6410]~P119(x64101)+E(f330(f330(f248(x64101),f330(f330(f248(x64101),x64102),x64103)),x64104),f330(f330(f248(x64101),x64102),f330(f330(f83(a930),x64103),x64104))) % 242.40/242.48 [6411]~P86(x64111)+E(f330(f330(f248(x64111),f330(f330(f248(x64111),x64112),x64113)),x64114),f330(f330(f248(x64111),x64112),f330(f330(f83(a930),x64113),x64114))) % 242.40/242.48 [6419]E(x64191,f2(a930))+E(f330(f330(f167(x64192),f330(f330(f154(x64192),x64193),x64194)),x64191),f330(f330(f167(x64192),x64194),f330(f330(f23(a930),x64191),f80(a930)))) % 242.40/242.48 [6446]~P122(x64461)+E(f330(f330(f293(x64461),f330(f330(f83(x64461),x64462),x64463)),x64464),f330(f330(f83(x64461),x64462),f330(f330(f293(x64461),x64463),x64464))) % 242.40/242.48 [6447]~P2(x64471)+E(f330(f330(f113(x64471),f330(f330(f113(x64471),x64472),x64473)),x64474),f330(f330(f113(x64471),x64472),f330(f330(f113(x64471),x64473),x64474))) % 242.40/242.48 [6449]~P105(x64491)+E(f330(f330(f113(x64491),f330(f330(f113(x64491),x64492),x64493)),x64494),f330(f330(f113(x64491),x64492),f330(f330(f113(x64491),x64493),x64494))) % 242.40/242.48 [6450]~P2(x64501)+E(f330(f330(f104(x64501),f330(f330(f104(x64501),x64502),x64503)),x64504),f330(f330(f104(x64501),x64502),f330(f330(f104(x64501),x64503),x64504))) % 242.40/242.48 [6452]~P106(x64521)+E(f330(f330(f104(x64521),f330(f330(f104(x64521),x64522),x64523)),x64524),f330(f330(f104(x64521),x64522),f330(f330(f104(x64521),x64523),x64524))) % 242.40/242.48 [6453]~P75(x64531)+E(f330(f330(f82(x64531),f330(f330(f82(x64531),x64532),x64533)),x64534),f330(f330(f82(x64531),x64532),f330(f330(f82(x64531),x64533),x64534))) % 242.40/242.48 [6454]~P119(x64541)+E(f330(f330(f82(x64541),f330(f330(f82(x64541),x64542),x64543)),x64544),f330(f330(f82(x64541),x64542),f330(f330(f82(x64541),x64543),x64544))) % 242.40/242.48 [6456]~P112(x64561)+E(f330(f330(f237(x64561),f330(f330(f237(x64561),x64562),x64563)),x64564),f330(f330(f237(x64561),x64562),f330(f330(f237(x64561),x64563),x64564))) % 242.40/242.48 [6458]~P112(x64581)+E(f330(f330(f238(x64581),f330(f330(f238(x64581),x64582),x64583)),x64584),f330(f330(f238(x64581),x64582),f330(f330(f238(x64581),x64583),x64584))) % 242.40/242.48 [6459]~P119(x64591)+E(f330(f330(f83(x64591),f330(f330(f83(x64591),x64592),x64593)),x64594),f330(f330(f83(x64591),x64592),f330(f330(f83(x64591),x64593),x64594))) % 242.40/242.48 [6460]~P78(x64601)+E(f330(f330(f83(x64601),f330(f330(f83(x64601),x64602),x64603)),x64604),f330(f330(f83(x64601),x64602),f330(f330(f83(x64601),x64603),x64604))) % 242.40/242.48 [6470]~P67(x64701)+E(f47(x64701,f330(f330(f82(x64701),x64702),f330(f330(f83(x64701),x64703),x64704)),x64704),f47(x64701,x64702,x64704)) % 242.40/242.48 [6471]~P67(x64711)+E(f47(x64711,f330(f330(f82(x64711),x64712),f330(f330(f83(x64711),x64713),x64714)),x64713),f47(x64711,x64712,x64713)) % 242.40/242.48 [6605]E(f330(f330(f167(x66051),f330(f330(f178(x66051),x66052),x66053)),x66054),f330(f330(f167(x66051),x66053),x66054))+~P1(f330(f330(f240(a930),x66054),x66052)) % 242.40/242.48 [6785]~E(x67852,x67854)+P1(f330(f330(f175(x67851),f330(f330(f154(x67851),x67852),x67853)),x67854)) % 242.40/242.48 [6787]~P119(x67871)+E(f330(f330(f82(x67871),f330(f330(f82(x67871),x67872),x67873)),x67874),f330(f330(f82(x67871),f330(f330(f82(x67871),x67872),x67874)),x67873)) % 242.40/242.48 [6788]~P119(x67881)+E(f330(f330(f83(x67881),f330(f330(f83(x67881),x67882),x67883)),x67884),f330(f330(f83(x67881),f330(f330(f83(x67881),x67882),x67884)),x67883)) % 242.40/242.48 [6848]~P147(x68482)+E(f330(f330(f6(x68481,x68482),f330(f16(x68482,x68481),x68483)),x68484),f330(f330(f83(x68482),f330(f103(x68482),f330(f37(x68481),x68484))),x68483)) % 242.40/242.48 [7013]E(f330(f330(f104(f937(x70131,a925)),f330(f330(f312(x70131),x70132),x70133)),x70134),f330(f330(f104(f937(x70131,a925)),x70133),x70134))+P1(f330(f330(f332(x70131),x70132),x70134)) % 242.40/242.48 [7080]~P103(x70801)+E(f330(f330(f104(x70801),f330(f330(f113(x70801),x70802),x70803)),f330(f330(f113(x70801),x70804),x70803)),f330(f330(f113(x70801),f330(f330(f104(x70801),x70802),x70804)),x70803)) % 242.40/242.48 [7081]~P83(x70811)+E(f330(f330(f237(x70811),f330(f330(f23(x70811),x70812),x70813)),f330(f330(f23(x70811),x70814),x70813)),f330(f330(f23(x70811),f330(f330(f237(x70811),x70812),x70814)),x70813)) % 242.40/242.48 [7082]~P83(x70821)+E(f330(f330(f238(x70821),f330(f330(f23(x70821),x70822),x70823)),f330(f330(f23(x70821),x70824),x70823)),f330(f330(f23(x70821),f330(f330(f238(x70821),x70822),x70824)),x70823)) % 242.40/242.48 [7083]~P103(x70831)+E(f330(f330(f113(x70831),f330(f330(f104(x70831),x70832),x70833)),f330(f330(f104(x70831),x70834),x70833)),f330(f330(f104(x70831),f330(f330(f113(x70831),x70832),x70834)),x70833)) % 242.40/242.48 [7084]~P93(x70841)+E(f330(f330(f237(x70841),f330(f330(f82(x70841),x70842),x70843)),f330(f330(f82(x70841),x70844),x70843)),f330(f330(f82(x70841),f330(f330(f237(x70841),x70842),x70844)),x70843)) % 242.40/242.48 [7085]~P93(x70851)+E(f330(f330(f238(x70851),f330(f330(f82(x70851),x70852),x70853)),f330(f330(f82(x70851),x70854),x70853)),f330(f330(f82(x70851),f330(f330(f238(x70851),x70852),x70854)),x70853)) % 242.40/242.48 [7086]~P112(x70861)+E(f330(f330(f238(x70861),f330(f330(f237(x70861),x70862),x70863)),f330(f330(f237(x70861),x70864),x70863)),f330(f330(f237(x70861),f330(f330(f238(x70861),x70862),x70864)),x70863)) % 242.40/242.48 [7087]~P112(x70871)+E(f330(f330(f237(x70871),f330(f330(f238(x70871),x70872),x70873)),f330(f330(f238(x70871),x70874),x70873)),f330(f330(f238(x70871),f330(f330(f237(x70871),x70872),x70874)),x70873)) % 242.40/242.48 [7089]~P120(x70891)+E(f330(f330(f82(x70891),f330(f330(f83(x70891),x70892),x70893)),f330(f330(f83(x70891),x70894),x70893)),f330(f330(f83(x70891),f330(f330(f82(x70891),x70892),x70894)),x70893)) % 242.40/242.48 [7090]~P119(x70901)+E(f330(f330(f83(x70901),f330(f330(f248(x70901),x70902),x70903)),f330(f330(f248(x70901),x70904),x70903)),f330(f330(f248(x70901),f330(f330(f83(x70901),x70902),x70904)),x70903)) % 242.40/242.48 [7091]~P80(x70911)+E(f330(f330(f83(x70911),f330(f330(f248(x70911),x70912),x70913)),f330(f330(f248(x70911),x70914),x70913)),f330(f330(f248(x70911),f330(f330(f83(x70911),x70912),x70914)),x70913)) % 242.40/242.48 [7092]~P70(x70921)+E(f330(f330(f293(x70921),f330(f330(f248(x70921),x70922),x70923)),f330(f330(f248(x70921),x70924),x70923)),f330(f330(f248(x70921),f330(f330(f293(x70921),x70922),x70924)),x70923)) % 242.40/242.48 [7093]~P122(x70931)+E(f330(f330(f23(x70931),f330(f330(f293(x70931),x70932),x70933)),f330(f330(f293(x70931),x70934),x70933)),f330(f330(f293(x70931),f330(f330(f23(x70931),x70932),x70934)),x70933)) % 242.40/242.48 [7094]~P122(x70941)+E(f330(f330(f82(x70941),f330(f330(f293(x70941),x70942),x70943)),f330(f330(f293(x70941),x70944),x70943)),f330(f330(f293(x70941),f330(f330(f82(x70941),x70942),x70944)),x70943)) % 242.40/242.48 [7095]~P119(x70951)+E(f330(f330(f82(x70951),f330(f330(f83(x70951),x70952),x70953)),f330(f330(f83(x70951),x70954),x70953)),f330(f330(f83(x70951),f330(f330(f82(x70951),x70952),x70954)),x70953)) % 242.40/242.48 [7126]E(f330(f330(f162(x71261,x71262),x71263),x71264),x71262)+~P1(f330(f330(f239(a930),f330(f192(f931(x71261)),x71262)),x71263)) % 242.40/242.48 [7152]~P1(f330(x71523,x71524))+P1(f330(f330(f330(f113(f937(x71521,a925)),x71522),x71523),x71524)) % 242.40/242.48 [7154]~P1(f330(x71542,x71544))+P1(f330(f330(f330(f113(f937(x71541,a925)),x71542),x71543),x71544)) % 242.40/242.48 [7174]E(f330(f330(f167(x71741),f330(f330(f137(x71741),x71742),x71743)),x71744),f330(f330(f167(x71741),x71742),x71744))+~P1(f330(f330(f240(a930),x71744),f330(f192(f931(x71741)),x71742))) % 242.40/242.48 [7185]E(f330(f330(f23(f937(x71851,a925)),f330(f330(f312(x71851),x71852),x71853)),x71854),f330(f330(f23(f937(x71851,a925)),x71853),x71854))+~P1(f330(f330(f332(x71851),x71852),x71854)) % 242.40/242.48 [7226]~E(f142(a930,f330(f305(a930,x72261),x72262)),f330(f330(f154(a930),x72264),x72263))+E(f142(a930,f330(f305(a930,f330(f330(f82(a930),x72261),f80(a930))),x72262)),x72263) % 242.40/242.48 [7247]~P1(f330(f330(f175(x72471),x72473),x72474))+P1(f330(f330(f175(x72471),f330(f330(f154(x72471),x72472),x72473)),x72474)) % 242.40/242.48 [7297]E(x72971,f2(a930))+E(f330(f330(f154(x72972),x72973),f330(f330(f178(x72972),f330(f330(f23(a930),x72971),f80(a930))),x72974)),f330(f330(f178(x72972),x72971),f330(f330(f154(x72972),x72973),x72974))) % 242.40/242.48 [7397]E(f330(f330(f167(x73971),x73972),f330(f330(f23(a930),x73973),f330(f192(f931(x73971)),x73974))),f330(f330(f167(x73971),f330(f330(f137(x73971),x73974),x73972)),x73973))+P1(f330(f330(f240(a930),x73973),f330(f192(f931(x73971)),x73974))) % 242.40/242.48 [7426]E(f330(f330(f104(f937(x74261,a925)),x74262),f330(f330(f312(x74261),x74263),x74264)),f330(f330(f312(x74261),x74263),f330(f330(f104(f937(x74261,a925)),x74262),x74264)))+~P1(f330(f330(f332(x74261),x74263),x74262)) % 242.40/242.48 [7464]E(f330(f330(f167(x74641),f330(f330(f162(x74641,x74642),x74643),x74644)),x74643),x74644)+~P1(f330(f330(f240(a930),x74643),f330(f192(f931(x74641)),x74642))) % 242.40/242.48 [7486]E(x74861,f191(f937(x74862,a925)))+E(f330(f313(f936(x74863,x74862),x74863,f255(x74863,x74862)),f330(f330(f258(x74863,x74862),x74864),f330(f16(f937(x74862,a925),x74863),x74861))),x74864) % 242.40/242.48 [7487]E(x74871,f191(f937(x74872,a925)))+E(f330(f313(f936(x74872,x74873),x74873,f260(x74872,x74873)),f330(f330(f258(x74872,x74873),x74871),f330(f16(f937(x74873,a925),x74872),x74874))),x74874) % 242.40/242.48 [7566]E(f330(f330(f23(f937(x75661,a925)),f330(f330(f312(x75661),x75662),x75663)),x75664),f330(f330(f312(x75661),x75662),f330(f330(f23(f937(x75661,a925)),x75663),x75664)))+P1(f330(f330(f332(x75661),x75662),x75664)) % 242.40/242.48 [7603]~E(x76034,f191(f937(x76032,a925)))+E(f330(f313(f936(x76031,x76032),x76031,f255(x76031,x76032)),f330(f330(f258(x76031,x76032),x76033),f330(f16(f937(x76032,a925),x76031),x76034))),f191(f937(x76031,a925))) % 242.40/242.48 [7604]~E(x76043,f191(f937(x76041,a925)))+E(f330(f313(f936(x76041,x76042),x76042,f260(x76041,x76042)),f330(f330(f258(x76041,x76042),x76043),f330(f16(f937(x76042,a925),x76041),x76044))),f191(f937(x76042,a925))) % 242.40/242.48 [7658]~P1(f330(f330(f332(x76581),x76582),x76584))+P1(f330(f330(f332(x76581),x76582),f330(f330(f113(f937(x76581,a925)),x76583),x76584))) % 242.40/242.48 [7661]~P1(f330(f330(f332(x76611),x76612),x76613))+P1(f330(f330(f332(x76611),x76612),f330(f330(f113(f937(x76611,a925)),x76613),x76614))) % 242.40/242.48 [7682]E(f330(f330(f104(f937(x76821,a925)),f330(f330(f312(x76821),x76822),x76823)),x76824),f330(f330(f312(x76821),x76822),f330(f330(f104(f937(x76821,a925)),x76823),x76824)))+~P1(f330(f330(f332(x76821),x76822),x76824)) % 242.40/242.48 [7954]P1(f330(x79541,x79542))+~P1(f330(f330(f330(f104(f937(x79543,a925)),x79544),x79541),x79542)) % 242.40/242.48 [7955]P1(f330(x79551,x79552))+~P1(f330(f330(f330(f104(f937(x79553,a925)),x79551),x79554),x79552)) % 242.40/242.48 [7956]E(f330(f330(f6(x79561,a930),x79562),f330(f330(f23(f937(x79561,a925)),x79563),f330(f330(f312(x79561),x79564),f191(f937(x79561,a925))))),f330(f330(f6(x79561,a930),x79562),x79563))+P1(f330(f330(f332(x79561),x79564),x79563)) % 242.40/242.48 [7962]~P74(x79621)+E(f330(f168(x79621),f330(f330(f157(a930,x79621),x79622),f142(a930,f330(f305(a930,x79623),x79624)))),f330(f330(f6(a930,x79621),x79622),f330(f175(a930),f142(a930,f330(f305(a930,x79623),x79624))))) % 242.40/242.48 [7963]~P74(x79631)+E(f330(f330(f6(a930,x79631),x79632),f330(f175(a930),f142(a930,f330(f305(a930,x79633),x79634)))),f330(f168(x79631),f330(f330(f157(a930,x79631),x79632),f142(a930,f330(f305(a930,x79633),x79634))))) % 242.40/242.48 [8081]~E(x80813,x80814)+P1(f330(f64(x80811,x80812,f330(f330(f312(x80811),x80813),f191(f937(x80811,a925)))),x80814)) % 242.40/242.48 [8178]P1(f330(f330(f332(x81781),x81782),f330(f175(x81781),x81783)))+~P1(f330(f330(f332(x81781),x81782),f330(f175(x81781),f330(f330(f178(x81781),x81784),x81783)))) % 242.40/242.48 [8179]P1(f330(f330(f332(x81791),x81792),f330(f175(x81791),x81793)))+~P1(f330(f330(f332(x81791),x81792),f330(f175(x81791),f330(f330(f141(x81791),x81794),x81793)))) % 242.40/242.48 [8254]P1(f330(f330(f332(x82541),x82542),x82543))+~P1(f330(f330(f332(x82541),x82542),f330(f330(f23(f937(x82541,a925)),x82543),x82544))) % 242.40/242.48 [8256]P1(f330(f330(f332(x82561),x82562),x82563))+~P1(f330(f330(f332(x82561),x82562),f330(f330(f104(f937(x82561,a925)),x82564),x82563))) % 242.40/242.48 [8259]P1(f330(f330(f332(x82591),x82592),x82593))+~P1(f330(f330(f332(x82591),x82592),f330(f330(f104(f937(x82591,a925)),x82593),x82594))) % 242.40/242.48 [8277]E(f330(f330(f137(x82771),f330(f330(f178(x82771),x82772),x82773)),f330(f330(f154(x82771),x82774),f330(f330(f141(x82771),f330(a115,x82772)),x82773))),f330(f330(f162(x82771,x82773),x82772),x82774))+~P1(f330(f330(f240(a930),x82772),f330(f192(f931(x82771)),x82773))) % 242.40/242.48 [8302]P1(f330(f330(f332(x83021),x83022),x83023))+~P1(f330(f330(f239(f937(x83021,a925)),f330(f330(f312(x83021),x83022),x83024)),x83023)) % 242.40/242.48 [8340]~P1(f330(f330(f332(x83401),x83402),x83403))+~P1(f330(f330(f332(x83401),x83402),f330(f330(f23(f937(x83401,a925)),x83404),x83403))) % 242.40/242.48 [8373]~P1(f330(f330(f240(a930),x83734),f330(f192(f931(x83731)),x83733)))+P1(f330(f330(f332(x83731),x83732),f330(f175(x83731),f330(f330(f162(x83731,x83733),x83734),x83732)))) % 242.40/242.48 [8424]E(f330(f330(f167(x84241),f330(f330(f141(x84241),x84242),x84243)),x84244),f330(f330(f167(x84241),x84243),f330(f330(f82(a930),x84242),x84244)))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x84242),x84244)),f330(f192(f931(x84241)),x84243))) % 242.40/242.48 [8433]~P147(x84332)+E(f330(f330(f6(x84331,x84332),f330(f330(f8(a930,x84332,x84331),f103(x84332)),x84333)),x84334),f330(f103(x84332),f330(f330(f6(x84331,a930),x84333),x84334))) % 242.40/242.48 [8434]~P142(x84342)+E(f330(f330(f6(x84341,x84342),f330(f330(f8(a1,x84342,x84341),f105(x84342)),x84343)),x84344),f330(f105(x84342),f330(f330(f6(x84341,a1),x84343),x84344))) % 242.40/242.48 [8485]~P73(x84852)+E(f330(f330(f9(x84851,x84852),f330(f330(f8(x84852,x84852,x84851),f77(x84852)),x84853)),x84854),f330(f77(x84852),f330(f330(f9(x84851,x84852),x84853),x84854))) % 242.40/242.48 [8486]~P6(x84862)+E(f330(f330(f6(x84861,x84862),f330(f330(f8(x84862,x84862,x84861),f81(x84862)),x84863)),x84864),f330(f81(x84862),f330(f330(f6(x84861,x84862),x84863),x84864))) % 242.40/242.48 [8488]E(f330(f330(f6(x84881,a930),x84882),f330(f330(f23(f937(x84881,a925)),x84883),f330(f330(f312(x84881),x84884),f191(f937(x84881,a925))))),f330(f330(f23(a930),f330(f330(f6(x84881,a930),x84882),x84883)),f330(x84882,x84884)))+~P1(f330(f330(f332(x84881),x84884),x84883)) % 242.40/242.48 [8508]P1(f330(f330(f239(f937(x85081,a925)),x85082),x85083))+~P1(f330(f330(f239(f937(x85081,a925)),f330(f330(f312(x85081),x85084),x85082)),x85083)) % 242.40/242.48 [8635]~E(f330(f313(x86352,x86353,x86351),f246(f937(x86352,a925))),f246(f937(x86353,a925)))+E(f330(x86351,f330(f94(x86352,x86353,f246(f937(x86352,a925)),x86351),x86354)),x86354) % 242.40/242.48 [8724]P42(x87241,x87242)+~P42(x87241,f330(f330(f312(f936(x87241,x87241)),f330(f330(f256(x87241,x87241),x87243),x87244)),x87242)) % 242.40/242.48 [8725]P64(x87251,x87252)+~P64(x87251,f330(f330(f312(f936(x87251,x87251)),f330(f330(f256(x87251,x87251),x87253),x87254)),x87252)) % 242.40/242.48 [8733]~P112(x87331)+E(f330(f330(f151(x87331,x87331,f5(x87331)),x87332),f330(f330(f151(x87331,x87331,f5(x87331)),x87333),x87334)),f330(f330(f151(x87331,x87331,f5(x87331)),x87333),f330(f330(f151(x87331,x87331,f5(x87331)),x87332),x87334))) % 242.40/242.48 [8748]E(x87481,x87482)+~P1(f330(f64(x87483,x87484,f330(f330(f312(x87483),x87481),f191(f937(x87483,a925)))),x87482)) % 242.40/242.48 [8757]E(f330(f330(f137(x87571),f330(f330(f178(x87571),x87572),x87573)),f330(f330(f178(x87571),x87574),f330(f330(f141(x87571),x87572),x87573))),f330(f330(f178(x87571),f330(f330(f82(a930),x87572),x87574)),x87573))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x87572),x87574)),f330(f192(f931(x87571)),x87573))) % 242.40/242.48 [8799]P1(f330(f63(x87991),x87992))+~E(x87992,f330(f313(a930,x87991,x87993),f330(f266(a930),f330(f330(f7(a930,a930,a925),f240(a930)),x87994)))) % 242.40/242.48 [8819]~P95(x88191)+E(f330(f145(x88191,x88191,f82(x88191),f330(f330(f82(x88191),x88192),x88193)),x88194),f330(f330(f82(x88191),x88192),f330(f145(x88191,x88191,f82(x88191),x88193),x88194))) % 242.40/242.48 [8855]P1(f330(f330(f239(f937(x88551,a925)),f330(f268(x88551,x88552),x88553)),f330(f268(x88551,x88552),x88554)))+~P1(f330(f330(f239(f937(f936(x88551,x88552),a925)),x88553),x88554)) % 242.40/242.48 [8867]~P1(f330(f330(f239(a930),x88672),x88674))+P1(f330(f330(f239(f937(x88671,a925)),f330(f175(x88671),f330(f330(f178(x88671),x88672),x88673))),f330(f175(x88671),f330(f330(f178(x88671),x88674),x88673)))) % 242.40/242.48 [8868]~P1(f330(f330(f239(a930),x88684),x88682))+P1(f330(f330(f239(f937(x88681,a925)),f330(f175(x88681),f330(f330(f141(x88681),x88682),x88683))),f330(f175(x88681),f330(f330(f141(x88681),x88684),x88683)))) % 242.40/242.48 [8925]~P1(f330(f63(x89251),f330(f330(f23(f937(x89251,a925)),x89252),x89254)))+P1(f330(f63(x89251),f330(f330(f23(f937(x89251,a925)),x89252),f330(f330(f312(x89251),x89253),x89254)))) % 242.40/242.48 [8967]P1(f330(f330(f332(f936(x89671,x89671)),x89672),f310(x89671,x89673)))+~P1(f330(f330(f332(f936(x89671,x89671)),x89672),f330(f330(f186(f936(x89671,x89671),a925),x89674),x89673))) % 242.40/242.48 [9053]~P1(f330(f63(x90531),f330(f330(f23(f937(x90531,a925)),x90532),f330(f330(f312(x90531),x90534),x90533))))+P1(f330(f63(x90531),f330(f330(f23(f937(x90531,a925)),x90532),x90533))) % 242.40/242.48 [9271]~P2(x92711)+P1(f330(f330(f239(x92711),f330(f330(f113(x92711),x92712),f330(f330(f104(x92711),x92713),x92714))),f330(f330(f104(x92711),f330(f330(f113(x92711),x92712),x92713)),f330(f330(f113(x92711),x92712),x92714)))) % 242.40/242.48 [9272]~P112(x92721)+P1(f330(f330(f239(x92721),f330(f330(f238(x92721),x92722),f330(f330(f237(x92721),x92723),x92724))),f330(f330(f237(x92721),f330(f330(f238(x92721),x92722),x92723)),f330(f330(f238(x92721),x92722),x92724)))) % 242.40/242.48 [9428]E(x94281,x94282)+~P1(f330(f330(f332(f936(x94283,x94283)),f330(f330(f256(x94283,x94283),x94281),x94282)),f330(f175(f936(x94283,x94283)),f330(f330(f184(x94283,x94283),x94284),x94284)))) % 242.40/242.48 [9459]~P1(f330(f330(f332(f936(x94591,x94591)),f330(f330(f256(x94591,x94591),x94593),x94592)),f310(x94591,x94594)))+~P42(x94591,f330(f330(f312(f936(x94591,x94591)),f330(f330(f256(x94591,x94591),x94592),x94593)),x94594)) % 242.40/242.48 [9460]~P1(f330(f330(f332(f936(x94601,x94601)),f330(f330(f256(x94601,x94601),x94603),x94602)),f310(x94601,x94604)))+~P64(x94601,f330(f330(f312(f936(x94601,x94601)),f330(f330(f256(x94601,x94601),x94602),x94603)),x94604)) % 242.40/242.48 [9464]E(x94641,x94642)+E(f330(f139(x94643,f330(f330(f8(a925,a925,x94643),a325),f330(a327,x94641))),f330(f330(f154(x94643),x94642),x94644)),f330(f330(f154(x94643),x94642),f330(f139(x94643,f330(f330(f8(a925,a925,x94643),a325),f330(a327,x94641))),x94644))) % 242.40/242.48 [9492]~P29(x94922,x94921,x94923,f246(f937(x94922,a925)),f246(f937(x94921,a925)))+E(f330(f313(x94921,x94922,f94(x94922,x94921,f246(f937(x94922,a925)),x94923)),x94924),f330(f314(x94922,x94921,x94923),x94924)) % 242.40/242.48 [9507]~P2(x95071)+P1(f330(f330(f239(x95071),f330(f330(f113(x95071),f330(f330(f104(x95071),x95072),x95073)),f330(f330(f104(x95071),x95072),x95074))),f330(f330(f104(x95071),x95072),f330(f330(f113(x95071),x95073),x95074)))) % 242.40/242.48 [9508]~P112(x95081)+P1(f330(f330(f239(x95081),f330(f330(f238(x95081),f330(f330(f237(x95081),x95082),x95083)),f330(f330(f237(x95081),x95082),x95084))),f330(f330(f237(x95081),x95082),f330(f330(f238(x95081),x95083),x95084)))) % 242.40/242.48 [9569]~P29(x95692,x95691,x95694,f246(f937(x95692,a925)),f246(f937(x95691,a925)))+E(f330(f266(x95691),f330(f330(f8(x95692,a925,x95691),x95693),f94(x95692,x95691,f246(f937(x95692,a925)),x95694))),f330(f313(x95692,x95691,x95694),f330(f266(x95692),x95693))) % 242.40/242.48 [9583]~E(f330(f313(x95832,x95831,x95833),f246(f937(x95832,a925))),f246(f937(x95831,a925)))+P1(f330(f330(f239(f937(x95831,a925)),f330(f81(f937(x95831,a925)),f330(f313(x95832,x95831,x95833),x95834))),f330(f313(x95832,x95831,x95833),f330(f81(f937(x95832,a925)),x95834)))) % 242.40/242.48 [9908]P1(f330(f330(f332(f936(x99081,x99081)),f330(f330(f256(x99081,x99081),x99082),x99083)),f330(f290(x99081,x99081),f330(f330(f292(x99081,x99081,x99081),x99084),f310(x99081,x99084)))))+~P1(f330(f330(f332(f936(x99081,x99081)),f330(f330(f256(x99081,x99081),x99082),x99083)),f330(f330(f292(x99081,x99081,x99081),f330(f290(x99081,x99081),x99084)),f310(x99081,f330(f290(x99081,x99081),x99084))))) % 242.40/242.48 [9909]~P1(f330(f330(f332(f936(x99091,x99091)),f330(f330(f256(x99091,x99091),x99092),x99093)),f330(f290(x99091,x99091),f330(f330(f292(x99091,x99091,x99091),x99094),f310(x99091,x99094)))))+P1(f330(f330(f332(f936(x99091,x99091)),f330(f330(f256(x99091,x99091),x99092),x99093)),f330(f330(f292(x99091,x99091,x99091),f330(f290(x99091,x99091),x99094)),f310(x99091,f330(f290(x99091,x99091),x99094))))) % 242.40/242.48 [9930]~P1(f330(f330(f332(x99302),x99304),f330(f288(x99301,x99302),x99303)))+P1(f330(f330(f332(f936(x99301,x99302)),f330(f330(f256(x99301,x99302),f552(x99303,x99301,x99304,x99302)),x99304)),x99303)) % 242.40/242.48 [9931]~P1(f330(f330(f332(x99312),x99314),f330(f288(x99311,x99312),x99313)))+P1(f330(f330(f332(f936(x99311,x99312)),f330(f330(f256(x99311,x99312),f555(x99313,x99311,x99314,x99312)),x99314)),x99313)) % 242.40/242.48 [9956]~P1(f330(f330(f332(x99561),x99564),f330(f330(f113(f937(x99561,a925)),x99562),x99563)))+P1(f330(f330(f330(f113(f937(x99561,a925)),f330(f330(f7(x99561,f937(x99561,a925),a925),f332(x99561)),x99562)),f330(f330(f7(x99561,f937(x99561,a925),a925),f332(x99561)),x99563)),x99564)) % 242.40/242.48 [9957]~P1(f330(f330(f332(x99571),x99574),f330(f330(f104(f937(x99571,a925)),x99572),x99573)))+P1(f330(f330(f330(f104(f937(x99571,a925)),f330(f330(f7(x99571,f937(x99571,a925),a925),f332(x99571)),x99572)),f330(f330(f7(x99571,f937(x99571,a925),a925),f332(x99571)),x99573)),x99574)) % 242.40/242.48 [10037]~P1(f330(f330(f332(f936(x100371,x100371)),f330(f330(f256(x100371,x100371),x100374),x100373)),f330(f330(f292(x100371,x100371,x100371),x100372),f310(x100371,x100372))))+P1(f330(f330(f332(f936(x100371,x100371)),f330(f330(f256(x100371,x100371),f621(x100372,x100373,x100374,x100371)),x100373)),x100372)) % 242.40/242.48 [10072]P1(f330(f330(f332(x100721),x100722),f330(f330(f113(f937(x100721,a925)),x100723),x100724)))+~P1(f330(f330(f330(f113(f937(x100721,a925)),f330(f330(f7(x100721,f937(x100721,a925),a925),f332(x100721)),x100723)),f330(f330(f7(x100721,f937(x100721,a925),a925),f332(x100721)),x100724)),x100722)) % 242.40/242.48 [10073]P1(f330(f330(f332(x100731),x100732),f330(f330(f104(f937(x100731,a925)),x100733),x100734)))+~P1(f330(f330(f330(f104(f937(x100731,a925)),f330(f330(f7(x100731,f937(x100731,a925),a925),f332(x100731)),x100733)),f330(f330(f7(x100731,f937(x100731,a925),a925),f332(x100731)),x100734)),x100732)) % 242.40/242.48 [10342]P37(x103421,f330(f330(f7(x103421,f937(f936(x103421,x103421),a925),f937(x103421,a925)),f330(f330(f8(f937(x103421,f937(f937(f936(x103421,x103421),a925),a925)),f937(f937(f936(x103421,x103421),a925),f937(x103421,a925)),x103421),f7(x103421,f937(f936(x103421,x103421),a925),a925)),f330(f330(f8(f937(x103421,f936(x103421,x103421)),f937(x103421,f937(f937(f936(x103421,x103421),a925),a925)),x103421),f330(f8(f936(x103421,x103421),f937(f937(f936(x103421,x103421),a925),a925),x103421),f332(f936(x103421,x103421)))),f256(x103421,x103421)))),x103422),x103423,x103424)+~P1(f330(f330(f332(f936(f931(x103421),f931(x103421))),f330(f330(f256(f931(x103421),f931(x103421)),x103423),x103424)),f161(x103421,x103422))) % 242.40/242.48 [10346]P65(x103461,f330(f330(f7(x103461,f937(f936(x103461,x103461),a925),f937(x103461,a925)),f330(f330(f8(f937(x103461,f937(f937(f936(x103461,x103461),a925),a925)),f937(f937(f936(x103461,x103461),a925),f937(x103461,a925)),x103461),f7(x103461,f937(f936(x103461,x103461),a925),a925)),f330(f330(f8(f937(x103461,f936(x103461,x103461)),f937(x103461,f937(f937(f936(x103461,x103461),a925),a925)),x103461),f330(f8(f936(x103461,x103461),f937(f937(f936(x103461,x103461),a925),a925),x103461),f332(f936(x103461,x103461)))),f256(x103461,x103461)))),x103462),x103463,x103464)+~P1(f330(f330(f332(f936(f937(x103461,a925),f937(x103461,a925))),f330(f330(f256(f937(x103461,a925),f937(x103461,a925)),x103463),x103464)),f322(x103461,x103462))) % 242.40/242.48 [10382]E(x103821,x103822)+~E(f330(f330(f7(x103823,f937(f936(x103823,x103824),a925),f937(x103824,a925)),f330(f330(f8(f937(x103824,f937(f937(f936(x103823,x103824),a925),a925)),f937(f937(f936(x103823,x103824),a925),f937(x103824,a925)),x103823),f7(x103824,f937(f936(x103823,x103824),a925),a925)),f330(f330(f8(f937(x103824,f936(x103823,x103824)),f937(x103824,f937(f937(f936(x103823,x103824),a925),a925)),x103823),f330(f8(f936(x103823,x103824),f937(f937(f936(x103823,x103824),a925),a925),x103824),f332(f936(x103823,x103824)))),f256(x103823,x103824)))),x103821),f330(f330(f7(x103823,f937(f936(x103823,x103824),a925),f937(x103824,a925)),f330(f330(f8(f937(x103824,f937(f937(f936(x103823,x103824),a925),a925)),f937(f937(f936(x103823,x103824),a925),f937(x103824,a925)),x103823),f7(x103824,f937(f936(x103823,x103824),a925),a925)),f330(f330(f8(f937(x103824,f936(x103823,x103824)),f937(x103824,f937(f937(f936(x103823,x103824),a925),a925)),x103823),f330(f8(f936(x103823,x103824),f937(f937(f936(x103823,x103824),a925),a925),x103824),f332(f936(x103823,x103824)))),f256(x103823,x103824)))),x103822)) % 242.40/242.48 [10385]~P37(x103851,f330(f330(f7(x103851,f937(f936(x103851,x103851),a925),f937(x103851,a925)),f330(f330(f8(f937(x103851,f937(f937(f936(x103851,x103851),a925),a925)),f937(f937(f936(x103851,x103851),a925),f937(x103851,a925)),x103851),f7(x103851,f937(f936(x103851,x103851),a925),a925)),f330(f330(f8(f937(x103851,f936(x103851,x103851)),f937(x103851,f937(f937(f936(x103851,x103851),a925),a925)),x103851),f330(f8(f936(x103851,x103851),f937(f937(f936(x103851,x103851),a925),a925),x103851),f332(f936(x103851,x103851)))),f256(x103851,x103851)))),x103854),x103852,x103853)+P1(f330(f330(f332(f936(f931(x103851),f931(x103851))),f330(f330(f256(f931(x103851),f931(x103851)),x103852),x103853)),f161(x103851,x103854))) % 242.40/242.48 [10386]~P65(x103861,f330(f330(f7(x103861,f937(f936(x103861,x103861),a925),f937(x103861,a925)),f330(f330(f8(f937(x103861,f937(f937(f936(x103861,x103861),a925),a925)),f937(f937(f936(x103861,x103861),a925),f937(x103861,a925)),x103861),f7(x103861,f937(f936(x103861,x103861),a925),a925)),f330(f330(f8(f937(x103861,f936(x103861,x103861)),f937(x103861,f937(f937(f936(x103861,x103861),a925),a925)),x103861),f330(f8(f936(x103861,x103861),f937(f937(f936(x103861,x103861),a925),a925),x103861),f332(f936(x103861,x103861)))),f256(x103861,x103861)))),x103864),x103862,x103863)+P1(f330(f330(f332(f936(f937(x103861,a925),f937(x103861,a925))),f330(f330(f256(f937(x103861,a925),f937(x103861,a925)),x103862),x103863)),f322(x103861,x103864))) % 242.40/242.48 [7732]~P98(x77321)+E(f330(f330(f82(x77321),f330(f106(x77321),x77322)),f330(f330(f23(x77321),f330(f106(x77321),x77323)),x77324)),f330(f330(f23(x77321),f330(f106(x77321),f330(f330(f82(a1),x77322),x77323))),x77324)) % 242.40/242.48 [7733]~P98(x77331)+E(f330(f330(f82(x77331),f330(f106(x77331),x77332)),f330(f330(f82(x77331),f330(f106(x77331),x77333)),x77334)),f330(f330(f82(x77331),f330(f106(x77331),f330(f330(f82(a1),x77332),x77333))),x77334)) % 242.40/242.48 [7734]~P98(x77341)+E(f330(f330(f83(x77341),f330(f106(x77341),x77342)),f330(f330(f83(x77341),f330(f106(x77341),x77343)),x77344)),f330(f330(f83(x77341),f330(f106(x77341),f330(f330(f83(a1),x77342),x77343))),x77344)) % 242.40/242.48 [7774]~P147(x77741)+E(f330(f168(x77741),f330(f330(f157(x77742,x77741),f330(f16(x77741,x77742),x77743)),x77744)),f330(f330(f83(x77741),f330(f103(x77741),f330(f192(f931(x77742)),x77744))),x77743)) % 242.40/242.48 [8011]E(f330(f272(x80111,f330(f330(f154(f936(a102,x80111)),x80112),x80113)),x80114),f330(f260(a102,x80111),x80112))+~P1(f330(f330(f240(a102),x80114),f330(f255(a102,x80111),x80112))) % 242.40/242.48 [8059]~P98(x80591)+E(f330(f330(f82(x80591),f330(f106(x80591),x80592)),f330(f330(f23(x80591),x80593),f330(f106(x80591),x80594))),f330(f330(f82(x80591),f330(f106(x80591),f330(f330(f82(a1),x80592),f330(f81(a1),x80594)))),x80593)) % 242.40/242.48 [8191]E(f330(f272(x81911,x81912),f330(f330(f23(a102),x81913),f330(f255(a102,x81911),x81914))),f330(f272(x81911,f330(f330(f154(f936(a102,x81911)),x81914),x81912)),x81913))+P1(f330(f330(f240(a102),x81913),f330(f255(a102,x81911),x81914))) % 242.40/242.48 [8641]~P1(f330(f330(f332(x86411),x86412),f330(f175(x86411),f117(x86411,x86414))))+P1(f330(f330(f332(x86411),x86412),f330(f175(x86411),f117(x86411,f330(f330(f137(x86411),x86413),x86414))))) % 242.40/242.48 [8642]~P1(f330(f330(f332(x86421),x86422),f330(f175(x86421),f117(x86421,x86423))))+P1(f330(f330(f332(x86421),x86422),f330(f175(x86421),f117(x86421,f330(f330(f137(x86421),x86423),x86424))))) % 242.40/242.48 [8663]E(f330(f330(f113(f937(x86631,a925)),f330(f330(f104(f937(x86631,a925)),x86632),x86633)),x86634),f330(f330(f104(f937(x86631,a925)),x86632),f330(f330(f113(f937(x86631,a925)),x86633),x86634)))+~P1(f330(f330(f239(f937(x86631,a925)),x86634),x86632)) % 242.40/242.48 [8981]~E(f330(f330(f113(f937(x89811,a925)),f330(f330(f104(f937(x89811,a925)),x89813),x89814)),x89812),f330(f330(f104(f937(x89811,a925)),x89813),f330(f330(f113(f937(x89811,a925)),x89814),x89812)))+P1(f330(f330(f239(f937(x89811,a925)),x89812),x89813)) % 242.40/242.48 [9277]~P1(f330(f330(f239(f937(x92771,a925)),x92772),f330(f330(f113(f937(x92771,a925)),x92773),x92774)))+P1(f330(f330(f239(f937(x92771,a925)),f330(f330(f23(f937(x92771,a925)),x92772),x92773)),x92774)) % 242.40/242.48 [9394]~E(f330(f313(x93941,x93942,x93943),f246(f937(x93941,a925))),f246(f937(x93942,a925)))+E(f330(f313(x93941,x93942,x93943),f330(f313(x93942,x93941,f94(x93941,x93942,f246(f937(x93941,a925)),x93943)),x93944)),x93944) % 242.40/242.48 [9402]P1(f330(f330(f239(f937(x94021,a925)),x94022),f330(f330(f113(f937(x94021,a925)),x94023),x94024)))+~P1(f330(f330(f239(f937(x94021,a925)),f330(f330(f23(f937(x94021,a925)),x94022),x94023)),x94024)) % 242.40/242.48 [9488]~P91(x94881)+E(f330(f77(x94881),f330(f330(f6(x94882,x94881),f330(f330(f8(x94881,x94881,x94882),f77(x94881)),x94883)),x94884)),f330(f330(f6(x94882,x94881),f330(f330(f8(x94881,x94881,x94882),f77(x94881)),x94883)),x94884)) % 242.40/242.48 [9659]~P91(x96591)+P1(f330(f330(f239(x96591),f2(x96591)),f330(f330(f6(x96592,x96591),f330(f330(f8(x96591,x96591,x96592),f77(x96591)),x96593)),x96594))) % 242.40/242.48 [9663]~P6(x96631)+E(f330(f168(x96631),f330(f330(f157(x96632,x96631),f330(f74(x96631,x96631,x96632,f81(x96631)),x96633)),x96634)),f330(f81(x96631),f330(f168(x96631),f330(f330(f157(x96632,x96631),x96633),x96634)))) % 242.40/242.48 [9804]~P91(x98041)+P1(f330(f330(f239(x98041),f330(f77(x98041),f330(f330(f6(x98042,x98041),x98043),x98044))),f330(f330(f6(x98042,x98041),f330(f330(f8(x98041,x98041,x98042),f77(x98041)),x98043)),x98044))) % 242.40/242.48 [9833]~E(f330(f330(f82(a930),x98331),x98334),f330(f330(f82(a930),x98333),x98332))+P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),f330(f330(f256(a930,a930),x98331),x98332)),f330(f330(f256(a930,a930),x98333),x98334))),a111)) % 242.40/242.48 [9834]~P1(f330(f330(f240(a930),x98341),x98343))+P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),f330(f330(f256(a930,a930),x98341),x98342)),f330(f330(f256(a930,a930),x98343),x98344))),a34)) % 242.40/242.48 [9835]~P1(f330(f330(f240(a930),x98351),x98353))+P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),f330(f330(f256(a930,a930),x98351),x98352)),f330(f330(f256(a930,a930),x98353),x98354))),a72)) % 242.40/242.48 [9981]E(f330(f330(f82(a930),x99811),x99812),f330(f330(f82(a930),x99813),x99814))+~P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),f330(f330(f256(a930,a930),x99811),x99814)),f330(f330(f256(a930,a930),x99813),x99812))),a111)) % 242.40/242.48 [10012]E(f330(f330(f167(x100121),f330(f330(f141(x100121),f330(f192(f931(x100121)),f180(x100121,x100122,x100123))),x100123)),x100124),f330(f330(f167(x100121),x100123),f330(f330(f82(a930),x100124),f330(f192(f931(x100121)),f180(x100121,x100122,x100123)))))+~P1(f330(f330(f240(a930),x100124),f330(f192(f931(x100121)),f330(f330(f141(x100121),f330(f192(f931(x100121)),f180(x100121,x100122,x100123))),x100123)))) % 242.40/242.48 [10028]~P1(f330(f330(f332(x100282),x100284),f330(f330(f41(x100281,f937(x100282,a925)),f246(f937(x100281,a925))),x100283)))+P1(f330(f330(f330(f41(x100281,f937(x100282,a925)),f246(f937(x100281,a925))),f330(f330(f8(f937(x100282,a925),f937(x100282,a925),x100281),f330(f7(x100282,f937(x100282,a925),a925),f332(x100282))),x100283)),x100284)) % 242.40/242.48 [10029]~P1(f330(f330(f332(x100292),x100294),f330(f330(f42(x100291,f937(x100292,a925)),f246(f937(x100291,a925))),x100293)))+P1(f330(f330(f330(f42(x100291,f937(x100292,a925)),f246(f937(x100291,a925))),f330(f330(f8(f937(x100292,a925),f937(x100292,a925),x100291),f330(f7(x100292,f937(x100292,a925),a925),f332(x100292))),x100293)),x100294)) % 242.40/242.48 [10098]~P1(f330(f51(x100981,x100982),f330(f330(f256(a1,a1),x100984),x100983)))+P1(f330(f51(f330(f81(a1),x100981),x100982),f330(f330(f256(a1,a1),f330(f330(f330(f99(a1),f330(f330(a327,x100983),f2(a1))),f330(f81(a1),x100984)),f330(f330(f23(a1),f330(f81(a1),x100984)),f80(a1)))),f330(f330(f330(f99(a1),f330(f330(a327,x100983),f2(a1))),f2(a1)),f330(f330(f23(a1),x100982),x100983))))) % 242.40/242.48 [10110]P1(f330(f330(f332(x101101),x101102),f330(f330(f41(x101103,f937(x101101,a925)),f246(f937(x101103,a925))),x101104)))+~P1(f330(f330(f330(f41(x101103,f937(x101101,a925)),f246(f937(x101103,a925))),f330(f330(f8(f937(x101101,a925),f937(x101101,a925),x101103),f330(f7(x101101,f937(x101101,a925),a925),f332(x101101))),x101104)),x101102)) % 242.40/242.48 [10111]P1(f330(f330(f332(x101111),x101112),f330(f330(f42(x101113,f937(x101111,a925)),f246(f937(x101113,a925))),x101114)))+~P1(f330(f330(f330(f42(x101113,f937(x101111,a925)),f246(f937(x101113,a925))),f330(f330(f8(f937(x101111,a925),f937(x101111,a925),x101113),f330(f7(x101111,f937(x101111,a925),a925),f332(x101111))),x101114)),x101112)) % 242.40/242.48 [10123]E(f330(f330(f41(a930,f937(x101231,a925)),f246(f937(a930,a925))),x101232),f330(f330(f41(a930,f937(x101231,a925)),f246(f937(a930,a925))),x101233))+~E(f330(f330(f41(a930,f937(x101231,a925)),f330(f305(a930,f2(a930)),f463(x101232,x101234,x101233,x101231))),x101233),f330(f330(f41(a930,f937(x101231,a925)),f330(f305(a930,f2(a930)),f330(f330(f82(a930),f463(x101232,x101234,x101233,x101231)),x101234))),x101232)) % 242.40/242.48 [10459]~P1(f330(f330(f239(f937(f936(x104591,x104592),a925)),x104593),x104594))+P1(f330(f330(f239(f937(x104591,f937(x104592,a925))),f330(f330(f7(x104591,f937(f936(x104591,x104592),a925),f937(x104592,a925)),f330(f330(f8(f937(x104592,f937(f937(f936(x104591,x104592),a925),a925)),f937(f937(f936(x104591,x104592),a925),f937(x104592,a925)),x104591),f7(x104592,f937(f936(x104591,x104592),a925),a925)),f330(f330(f8(f937(x104592,f936(x104591,x104592)),f937(x104592,f937(f937(f936(x104591,x104592),a925),a925)),x104591),f330(f8(f936(x104591,x104592),f937(f937(f936(x104591,x104592),a925),a925),x104592),f332(f936(x104591,x104592)))),f256(x104591,x104592)))),x104593)),f330(f330(f7(x104591,f937(f936(x104591,x104592),a925),f937(x104592,a925)),f330(f330(f8(f937(x104592,f937(f937(f936(x104591,x104592),a925),a925)),f937(f937(f936(x104591,x104592),a925),f937(x104592,a925)),x104591),f7(x104592,f937(f936(x104591,x104592),a925),a925)),f330(f330(f8(f937(x104592,f936(x104591,x104592)),f937(x104592,f937(f937(f936(x104591,x104592),a925),a925)),x104591),f330(f8(f936(x104591,x104592),f937(f937(f936(x104591,x104592),a925),a925),x104592),f332(f936(x104591,x104592)))),f256(x104591,x104592)))),x104594))) % 242.40/242.48 [10475]P1(f330(f330(f239(f937(f936(x104751,x104752),a925)),x104753),x104754))+~P1(f330(f330(f239(f937(x104751,f937(x104752,a925))),f330(f330(f7(x104751,f937(f936(x104751,x104752),a925),f937(x104752,a925)),f330(f330(f8(f937(x104752,f937(f937(f936(x104751,x104752),a925),a925)),f937(f937(f936(x104751,x104752),a925),f937(x104752,a925)),x104751),f7(x104752,f937(f936(x104751,x104752),a925),a925)),f330(f330(f8(f937(x104752,f936(x104751,x104752)),f937(x104752,f937(f937(f936(x104751,x104752),a925),a925)),x104751),f330(f8(f936(x104751,x104752),f937(f937(f936(x104751,x104752),a925),a925),x104752),f332(f936(x104751,x104752)))),f256(x104751,x104752)))),x104753)),f330(f330(f7(x104751,f937(f936(x104751,x104752),a925),f937(x104752,a925)),f330(f330(f8(f937(x104752,f937(f937(f936(x104751,x104752),a925),a925)),f937(f937(f936(x104751,x104752),a925),f937(x104752,a925)),x104751),f7(x104752,f937(f936(x104751,x104752),a925),a925)),f330(f330(f8(f937(x104752,f936(x104751,x104752)),f937(x104752,f937(f937(f936(x104751,x104752),a925),a925)),x104751),f330(f8(f936(x104751,x104752),f937(f937(f936(x104751,x104752),a925),a925),x104752),f332(f936(x104751,x104752)))),f256(x104751,x104752)))),x104754))) % 242.40/242.48 [9534]~P1(f330(f330(f332(f936(x95341,x95341)),x95342),f310(x95341,x95344)))+P1(f330(f330(f332(f936(x95341,x95341)),x95342),f310(x95341,f330(f330(f113(f937(f936(x95341,x95341),a925)),x95343),x95344)))) % 242.40/242.48 [9535]~P1(f330(f330(f332(f936(x95351,x95351)),x95352),f310(x95351,x95353)))+P1(f330(f330(f332(f936(x95351,x95351)),x95352),f310(x95351,f330(f330(f113(f937(f936(x95351,x95351),a925)),x95353),x95354)))) % 242.40/242.48 [10209]~P1(f330(f330(f239(a930),f330(f330(f82(a930),x102091),x102094)),f330(f330(f82(a930),x102093),x102092)))+P1(f330(f330(f239(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102091),x102092)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102093),x102094)),f191(f937(f936(a930,a930),a925))))))) % 242.40/242.48 [10210]~P1(f330(f330(f240(a930),f330(f330(f82(a930),x102101),x102104)),f330(f330(f82(a930),x102103),x102102)))+P1(f330(f330(f240(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102101),x102102)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102103),x102104)),f191(f937(f936(a930,a930),a925))))))) % 242.40/242.48 [10287]P1(f330(f330(f239(a930),f330(f330(f82(a930),x102871),x102872)),f330(f330(f82(a930),x102873),x102874)))+~P1(f330(f330(f239(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102871),x102874)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102873),x102872)),f191(f937(f936(a930,a930),a925))))))) % 242.40/242.48 [10288]P1(f330(f330(f240(a930),f330(f330(f82(a930),x102881),x102882)),f330(f330(f82(a930),x102883),x102884)))+~P1(f330(f330(f240(a1),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102881),x102884)),f191(f937(f936(a930,a930),a925)))))),f330(a91,f330(f289(f936(a930,a930),f936(a930,a930),a111),f330(f330(f312(f936(a930,a930)),f330(f330(f256(a930,a930),x102883),x102882)),f191(f937(f936(a930,a930),a925))))))) % 242.40/242.48 [10328]P1(f330(f330(f239(f937(x103281,a925)),f330(f330(f41(a930,f937(x103281,a925)),f246(f937(a930,a925))),x103282)),f330(f330(f41(a930,f937(x103281,a925)),f246(f937(a930,a925))),x103283)))+~P1(f330(f330(f239(f937(x103281,a925)),f330(f330(f41(a930,f937(x103281,a925)),f330(f305(a930,f2(a930)),f459(x103283,x103284,x103282,x103281))),x103282)),f330(f330(f41(a930,f937(x103281,a925)),f330(f305(a930,f2(a930)),f330(f330(f82(a930),f459(x103283,x103284,x103282,x103281)),x103284))),x103283))) % 242.40/242.48 [10389]P1(f330(f330(f239(a102),x103894),f2(a102)))+E(f330(f330(f263(f936(a102,a102),f936(x103891,f937(a933,a326)),f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102))),f330(x103892,x103893)),f330(f330(f8(f937(f937(a102,f937(a925,f934(f932(x103891)))),f937(f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102)))),f937(f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102))),f936(x103891,f937(a933,a326))),f330(f263(f936(a102,a102),f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102))),f281(x103891,x103892,f330(f330(f23(a102),x103894),f80(a102)),x103893))),f330(f330(f8(f937(f937(a102,f937(a925,f934(f932(x103891)))),f937(a102,f937(a925,f934(f932(x103891))))),f937(f937(a102,f937(a925,f934(f932(x103891)))),f937(f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102)))),f936(x103891,f937(a933,a326))),f330(f8(f937(a102,f937(a925,f934(f932(x103891)))),f937(f936(a102,a102),f936(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102))),f937(a102,f937(a925,f934(f932(x103891))))),f256(f937(a102,f937(a925,f934(f932(x103891)))),f936(a102,a102)))),f330(f330(f8(f937(a102,f937(a925,f934(f932(x103891)))),f937(f937(a102,f937(a925,f934(f932(x103891)))),f937(a102,f937(a925,f934(f932(x103891))))),f936(x103891,f937(a933,a326))),f46(x103891)),f330(f330(f8(x103891,f937(a102,f937(a925,f934(f932(x103891)))),f936(x103891,f937(a933,a326))),f44(x103891)),f255(x103891,f937(a933,a326))))))),f281(x103891,x103892,x103894,x103893)) % 242.40/242.48 [10449]~P1(f330(f330(f332(x104492),x104494),f330(f288(x104491,x104492),x104493)))+P1(f330(f254(x104491,x104492,f330(f330(f7(x104491,f937(f936(x104491,x104492),a925),f937(x104492,a925)),f330(f330(f8(f937(x104492,f937(f937(f936(x104491,x104492),a925),a925)),f937(f937(f936(x104491,x104492),a925),f937(x104492,a925)),x104491),f7(x104492,f937(f936(x104491,x104492),a925),a925)),f330(f330(f8(f937(x104492,f936(x104491,x104492)),f937(x104492,f937(f937(f936(x104491,x104492),a925),a925)),x104491),f330(f8(f936(x104491,x104492),f937(f937(f936(x104491,x104492),a925),a925),x104492),f332(f936(x104491,x104492)))),f256(x104491,x104492)))),x104493)),x104494)) % 242.40/242.48 [10450]~P1(f330(f330(f332(x104501),x104504),f330(f268(x104501,x104502),x104503)))+P1(f330(f253(x104501,x104502,f330(f330(f7(x104501,f937(f936(x104501,x104502),a925),f937(x104502,a925)),f330(f330(f8(f937(x104502,f937(f937(f936(x104501,x104502),a925),a925)),f937(f937(f936(x104501,x104502),a925),f937(x104502,a925)),x104501),f7(x104502,f937(f936(x104501,x104502),a925),a925)),f330(f330(f8(f937(x104502,f936(x104501,x104502)),f937(x104502,f937(f937(f936(x104501,x104502),a925),a925)),x104501),f330(f8(f936(x104501,x104502),f937(f937(f936(x104501,x104502),a925),a925),x104502),f332(f936(x104501,x104502)))),f256(x104501,x104502)))),x104503)),x104504)) % 242.40/242.48 [10462]P1(f330(f330(f332(x104621),x104622),f330(f288(x104623,x104621),x104624)))+~P1(f330(f254(x104623,x104621,f330(f330(f7(x104623,f937(f936(x104623,x104621),a925),f937(x104621,a925)),f330(f330(f8(f937(x104621,f937(f937(f936(x104623,x104621),a925),a925)),f937(f937(f936(x104623,x104621),a925),f937(x104621,a925)),x104623),f7(x104621,f937(f936(x104623,x104621),a925),a925)),f330(f330(f8(f937(x104621,f936(x104623,x104621)),f937(x104621,f937(f937(f936(x104623,x104621),a925),a925)),x104623),f330(f8(f936(x104623,x104621),f937(f937(f936(x104623,x104621),a925),a925),x104621),f332(f936(x104623,x104621)))),f256(x104623,x104621)))),x104624)),x104622)) % 242.40/242.48 [10463]P1(f330(f330(f332(x104631),x104632),f330(f268(x104631,x104633),x104634)))+~P1(f330(f253(x104631,x104633,f330(f330(f7(x104631,f937(f936(x104631,x104633),a925),f937(x104633,a925)),f330(f330(f8(f937(x104633,f937(f937(f936(x104631,x104633),a925),a925)),f937(f937(f936(x104631,x104633),a925),f937(x104633,a925)),x104631),f7(x104633,f937(f936(x104631,x104633),a925),a925)),f330(f330(f8(f937(x104633,f936(x104631,x104633)),f937(x104633,f937(f937(f936(x104631,x104633),a925),a925)),x104631),f330(f8(f936(x104631,x104633),f937(f937(f936(x104631,x104633),a925),a925),x104633),f332(f936(x104631,x104633)))),f256(x104631,x104633)))),x104634)),x104632)) % 242.40/242.48 [10134]P1(f330(f163(x101341,x101342),x101343))+~P1(f330(f163(x101341,f330(f330(f18(x101341,a925,a925),f330(f330(f8(a925,f937(a925,a925),x101341),a328),x101344)),x101342)),x101343)) % 242.40/242.48 [10135]P1(f330(f163(x101351,x101352),x101353))+~P1(f330(f163(x101351,f330(f330(f18(x101351,a925,a925),f330(f330(f8(a925,f937(a925,a925),x101351),a328),x101352)),x101354)),x101353)) % 242.40/242.48 [10211]~P119(x102111)+E(f330(f330(f83(x102111),f330(f330(f82(x102111),f80(x102111)),f80(x102111))),f330(f330(f6(a930,x102111),f330(f330(f8(x102111,x102111,a930),f330(f82(x102111),x102112)),f330(f330(f7(a930,x102111,x102111),f330(f330(f8(x102111,f937(x102111,x102111),a930),f83(x102111)),f103(x102111))),x102113))),f330(f286(a930),x102114))),f330(f330(f83(x102111),f330(f103(x102111),x102114)),f330(f330(f82(x102111),x102112),f330(f330(f82(x102111),x102112),f330(f330(f83(x102111),f330(f103(x102111),f330(f330(f23(a930),x102114),f80(a930)))),x102113))))) % 242.40/242.48 [10349]P1(f330(x103491,f548(x103492,x103493,x103494,x103491)))+P42(x103492,f330(f266(f936(x103492,x103492)),f330(f261(x103492,x103492,a925),f330(f330(f8(f937(x103492,a925),f937(x103492,a925),x103492),f330(f18(x103492,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103492),a328),x103491))),f330(f330(f7(x103492,f937(x103492,x103492),f937(x103492,a925)),f330(f330(f8(f937(x103492,a925),f937(f937(x103492,x103492),f937(x103492,a925)),x103492),f8(x103492,a925,x103492)),a327)),x103493))))) % 242.40/242.48 [10366]~P1(f330(f330(f240(a930),f330(x103664,f330(x103663,f548(x103661,x103663,x103664,x103662)))),f330(x103664,f548(x103661,x103663,x103664,x103662))))+P42(x103661,f330(f266(f936(x103661,x103661)),f330(f261(x103661,x103661,a925),f330(f330(f8(f937(x103661,a925),f937(x103661,a925),x103661),f330(f18(x103661,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103661),a328),x103662))),f330(f330(f7(x103661,f937(x103661,x103661),f937(x103661,a925)),f330(f330(f8(f937(x103661,a925),f937(f937(x103661,x103661),f937(x103661,a925)),x103661),f8(x103661,a925,x103661)),a327)),x103663))))) % 242.40/242.48 [10436]~P8(x104361)+E(f40(x104361,f330(f266(x104361),f330(f330(f8(f937(f937(x104362,x104361),a925),a925,x104361),f89(f937(x104362,x104361))),f330(f330(f8(f937(f937(x104362,x104361),a925),f937(f937(x104362,x104361),a925),x104361),f330(f18(f937(x104362,x104361),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x104362,x104361)),a328),f330(f330(f7(f937(x104362,x104361),f937(f937(x104362,x104361),a925),a925),f332(f937(x104362,x104361))),x104363)))),f330(f330(f7(x104361,f937(f937(x104362,x104361),x104361),f937(f937(x104362,x104361),a925)),f330(f330(f8(f937(x104361,a925),f937(f937(f937(x104362,x104361),x104361),f937(f937(x104362,x104361),a925)),x104361),f8(x104361,a925,f937(x104362,x104361))),a327)),f330(f330(f7(f937(x104362,x104361),x104362,x104361),f5(f937(x104362,x104361))),x104364)))))),f330(f40(f937(x104362,x104361),x104363),x104364)) % 242.40/242.48 [10437]~P8(x104371)+E(f40(x104371,f330(f266(x104371),f330(f330(f8(f937(f937(x104372,x104371),a925),a925,x104371),f89(f937(x104372,x104371))),f330(f330(f8(f937(f937(x104372,x104371),a925),f937(f937(x104372,x104371),a925),x104371),f330(f18(f937(x104372,x104371),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x104372,x104371)),a328),f330(f330(f7(f937(x104372,x104371),f937(f937(x104372,x104371),a925),a925),f332(f937(x104372,x104371))),x104373)))),f330(f330(f7(x104371,f937(f937(x104372,x104371),x104371),f937(f937(x104372,x104371),a925)),f330(f330(f8(f937(x104371,a925),f937(f937(f937(x104372,x104371),x104371),f937(f937(x104372,x104371),a925)),x104371),f8(x104371,a925,f937(x104372,x104371))),a327)),f330(f330(f7(f937(x104372,x104371),x104372,x104371),f5(f937(x104372,x104371))),x104374)))))),f330(f40(f937(x104372,x104371),x104373),x104374)) % 242.40/242.48 [10438]~P8(x104381)+E(f39(x104381,f330(f266(x104381),f330(f330(f8(f937(f937(x104382,x104381),a925),a925,x104381),f89(f937(x104382,x104381))),f330(f330(f8(f937(f937(x104382,x104381),a925),f937(f937(x104382,x104381),a925),x104381),f330(f18(f937(x104382,x104381),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x104382,x104381)),a328),f330(f330(f7(f937(x104382,x104381),f937(f937(x104382,x104381),a925),a925),f332(f937(x104382,x104381))),x104383)))),f330(f330(f7(x104381,f937(f937(x104382,x104381),x104381),f937(f937(x104382,x104381),a925)),f330(f330(f8(f937(x104381,a925),f937(f937(f937(x104382,x104381),x104381),f937(f937(x104382,x104381),a925)),x104381),f8(x104381,a925,f937(x104382,x104381))),a327)),f330(f330(f7(f937(x104382,x104381),x104382,x104381),f5(f937(x104382,x104381))),x104384)))))),f330(f39(f937(x104382,x104381),x104383),x104384)) % 242.40/242.48 [10439]~P8(x104391)+E(f39(x104391,f330(f266(x104391),f330(f330(f8(f937(f937(x104392,x104391),a925),a925,x104391),f89(f937(x104392,x104391))),f330(f330(f8(f937(f937(x104392,x104391),a925),f937(f937(x104392,x104391),a925),x104391),f330(f18(f937(x104392,x104391),a925,a925),f330(f330(f8(a925,f937(a925,a925),f937(x104392,x104391)),a328),f330(f330(f7(f937(x104392,x104391),f937(f937(x104392,x104391),a925),a925),f332(f937(x104392,x104391))),x104393)))),f330(f330(f7(x104391,f937(f937(x104392,x104391),x104391),f937(f937(x104392,x104391),a925)),f330(f330(f8(f937(x104391,a925),f937(f937(f937(x104392,x104391),x104391),f937(f937(x104392,x104391),a925)),x104391),f8(x104391,a925,f937(x104392,x104391))),a327)),f330(f330(f7(f937(x104392,x104391),x104392,x104391),f5(f937(x104392,x104391))),x104394)))))),f330(f39(f937(x104392,x104391),x104393),x104394)) % 242.40/242.48 [10489]~P1(f330(f330(f332(f936(x104891,x104891)),f330(f330(f256(x104891,x104891),x104893),x104894)),f330(f330(f113(f937(f936(x104891,x104891),a925)),x104892),f310(x104891,f191(f937(f936(x104891,x104891),a925))))))+P1(f330(f330(f330(f330(f113(f937(x104891,f937(x104891,a925))),f330(f330(f7(x104891,f937(f936(x104891,x104891),a925),f937(x104891,a925)),f330(f330(f8(f937(x104891,f937(f937(f936(x104891,x104891),a925),a925)),f937(f937(f936(x104891,x104891),a925),f937(x104891,a925)),x104891),f7(x104891,f937(f936(x104891,x104891),a925),a925)),f330(f330(f8(f937(x104891,f936(x104891,x104891)),f937(x104891,f937(f937(f936(x104891,x104891),a925),a925)),x104891),f330(f8(f936(x104891,x104891),f937(f937(f936(x104891,x104891),a925),a925),x104891),f332(f936(x104891,x104891)))),f256(x104891,x104891)))),x104892)),a327),x104893),x104894)) % 242.40/242.48 [10500]P1(f330(f330(f332(f936(x105001,x105001)),f330(f330(f256(x105001,x105001),x105002),x105003)),f330(f330(f113(f937(f936(x105001,x105001),a925)),x105004),f310(x105001,f191(f937(f936(x105001,x105001),a925))))))+~P1(f330(f330(f330(f330(f113(f937(x105001,f937(x105001,a925))),f330(f330(f7(x105001,f937(f936(x105001,x105001),a925),f937(x105001,a925)),f330(f330(f8(f937(x105001,f937(f937(f936(x105001,x105001),a925),a925)),f937(f937(f936(x105001,x105001),a925),f937(x105001,a925)),x105001),f7(x105001,f937(f936(x105001,x105001),a925),a925)),f330(f330(f8(f937(x105001,f936(x105001,x105001)),f937(x105001,f937(f937(f936(x105001,x105001),a925),a925)),x105001),f330(f8(f936(x105001,x105001),f937(f937(f936(x105001,x105001),a925),a925),x105001),f332(f936(x105001,x105001)))),f256(x105001,x105001)))),x105004)),a327),x105002),x105003)) % 242.40/242.48 [10446]E(f330(f330(f154(f931(x104461)),f330(f330(f154(x104461),x104462),f330(f145(f931(x104461),f931(x104461),f137(x104461),f116(x104461)),f330(f330(f157(f931(x104461),f931(x104461)),f159(f931(x104461),x104461,f116(x104461),f330(f330(f8(f931(x104461),f937(f931(x104461),f931(x104461)),x104461),f16(f931(x104461),f931(x104461))),f330(f330(f7(x104461,f931(x104461),f931(x104461)),f154(x104461)),f116(x104461))))),x104463)))),f182(x104461,f330(f330(f154(f931(x104461)),x104464),f330(f145(f931(f931(x104461)),f931(f931(x104461)),f137(f931(x104461)),f116(f931(x104461))),f330(f330(f157(f931(x104461),f931(f931(x104461))),f159(f931(f931(x104461)),x104461,f116(f931(x104461)),f330(f16(f937(f931(x104461),f931(f931(x104461))),x104461),f330(f330(f7(f931(x104461),f931(f931(x104461)),f931(f931(x104461))),f154(f931(x104461))),f116(f931(x104461)))))),x104463))))),f182(x104461,f330(f330(f154(f931(x104461)),f330(f330(f154(x104461),x104462),x104464)),x104463)))+~P1(f330(f318(f931(f931(x104461)),f183(x104461)),f330(f330(f154(f931(x104461)),f330(f330(f154(x104461),x104462),x104464)),x104463))) % 242.40/242.48 [10488]~P1(f330(f63(x104882),f330(f266(x104882),x104884)))+P1(f330(f63(x104881),f330(f266(x104881),f330(f330(f8(f937(x104882,a925),a925,x104881),f89(x104882)),f330(f330(f7(x104881,f937(x104882,a925),f937(x104882,a925)),f330(f330(f8(f937(x104882,f937(a925,a925)),f937(f937(x104882,a925),f937(x104882,a925)),x104881),f18(x104882,a925,a925)),f330(f330(f8(f937(x104882,a925),f937(x104882,f937(a925,a925)),x104881),f330(f8(a925,f937(a925,a925),x104882),a328)),f330(f330(f7(x104881,f937(x104882,x104881),f937(x104882,a925)),f330(f330(f8(f937(x104881,a925),f937(f937(x104882,x104881),f937(x104882,a925)),x104881),f8(x104881,a925,x104882)),a327)),x104883)))),x104884))))) % 242.40/242.48 [9019]P28(x90191,x90192,x90193,x90194)+~P29(x90191,x90192,x90193,x90194,x90195) % 242.40/242.48 [5497]E(x54971,x54972)+~E(f172(x54973,x54971,x54974),f172(x54973,x54972,x54975)) % 242.40/242.48 [5498]E(x54981,x54982)+~E(f129(x54983,x54984,x54981),f129(x54983,x54985,x54982)) % 242.40/242.48 [5499]E(x54991,x54992)+~E(f129(x54993,x54991,x54994),f129(x54993,x54992,x54995)) % 242.40/242.48 [8334]~E(f330(x83343,x83344),x83345)+E(f76(x83341,x83342,x83343,x83344,x83345),x83343) % 242.40/242.48 [8877]~E(f76(x88774,x88775,x88771,x88772,x88773),x88771)+E(f330(x88771,x88772),x88773) % 242.40/242.48 [9399]~P46(f32(x93991,x93995),x93992,x93993,x93994)+P46(x93991,x93992,x93993,f491(x93994,x93993,x93992,x93995,x93991)) % 242.40/242.48 [9400]~P46(f32(x94005,x94001),x94004,x94003,x94002)+P46(x94001,f491(x94002,x94003,x94004,x94001,x94005),x94003,x94002) % 242.40/242.48 [9505]~P29(x95052,x95051,x95054,x95053,x95055)+P29(x95051,x95052,f79(x95052,x95051,x95053,x95054),x95055,x95053) % 242.40/242.48 [9506]~P29(x95062,x95061,x95064,x95063,x95065)+P29(x95061,x95062,f94(x95062,x95061,x95063,x95064),x95065,x95063) % 242.40/242.48 [6300]P1(f330(f254(x63001,x63002,x63003),x63004))+~P1(f330(f330(x63003,x63005),x63004)) % 242.40/242.48 [6302]P1(f330(f253(x63021,x63022,x63023),x63024))+~P1(f330(f330(x63023,x63024),x63025)) % 242.40/242.48 [6775]~E(x67755,f2(a102))+E(f330(f200(x67751,x67752,x67753,x67754),x67755),f127(x67752)) % 242.40/242.48 [6776]~E(x67765,f2(a102))+E(f330(f202(x67761,x67762,x67763,x67764),x67765),f118(x67762)) % 242.40/242.48 [6912]~E(x69123,f2(a102))+E(f330(f277(x69121,x69122,x69123,x69124),x69125),f330(f256(x69121,x69122),x69125)) % 242.40/242.48 [7967]~P23(x79674,x79671,x79672,x79675)+E(f330(f74(x79671,x79671,x79671,f330(x79672,x79673)),f330(x79672,x79673)),f330(x79672,x79673)) % 242.40/242.48 [8374]~P19(x83745,x83741,x83742)+E(f330(f74(x83741,x83741,x83741,f330(x83742,x83743)),f330(x83742,x83744)),f330(f74(x83741,x83741,x83741,f330(x83742,x83744)),f330(x83742,x83743))) % 242.40/242.48 [8704]P1(f330(f330(f332(f936(x87041,x87041)),f330(f330(f256(x87041,x87041),x87042),x87043)),f324(x87041,x87044,x87045)))+~P1(f330(f330(f240(a930),f330(x87044,x87042)),f330(x87044,x87043))) % 242.40/242.48 [8805]~P1(f330(f330(f332(x88054),x88053),f299(x88054,x88051,x88052,x88055)))+P1(f330(f330(x88051,x88052),x88053)) % 242.40/242.48 [8806]~P1(f330(f330(f332(x88064),x88063),f302(x88064,x88061,x88062,x88065)))+P1(f330(f330(x88061,x88062),x88063)) % 242.40/242.48 [8807]~P1(f330(f330(f332(x88074),x88072),f299(x88074,x88071,x88075,x88073)))+P1(f330(f330(x88071,x88072),x88073)) % 242.40/242.48 [8808]~P1(f330(f330(f332(x88084),x88082),f302(x88084,x88081,x88085,x88083)))+P1(f330(f330(x88081,x88082),x88083)) % 242.40/242.48 [8889]~P29(x88891,x88893,x88895,x88892,x88894)+E(f330(f37(x88891),x88892),f330(f37(x88893),x88894)) % 242.40/242.48 [8937]~P29(x89371,x89372,x89373,x89374,x89375)+E(f330(f313(x89371,x89372,x89373),x89374),x89375) % 242.40/242.48 [8957]~P63(x89572,x89571,x89575,x89573,x89574)+E(f330(f313(x89571,x89572,x89573),x89574),f246(f937(x89572,a925))) % 242.40/242.48 [9417]~P39(x94171,x94172,x94173,x94174,x94175)+P39(x94171,x94172,x94173,f330(f171(x94171),x94174),f330(f171(x94172),x94175)) % 242.40/242.48 [9419]~P39(x94191,x94192,x94193,f330(f171(x94191),x94194),x94195)+P39(x94191,x94192,x94193,x94194,f330(f171(x94192),x94195)) % 242.40/242.48 [9420]~P39(x94201,x94202,x94203,x94204,f330(f171(x94202),x94205))+P39(x94201,x94202,x94203,f330(f171(x94201),x94204),x94205) % 242.40/242.48 [9426]P39(x94261,x94262,x94263,x94264,x94265)+~P39(x94261,x94262,x94263,f330(f171(x94261),x94264),f330(f171(x94262),x94265)) % 242.40/242.48 [9823]P1(f330(f330(f332(f936(f931(x98231),f931(x98231))),f330(f330(f256(f931(x98231),f931(x98231)),f330(f330(f154(x98231),x98232),x98233)),f330(f330(f154(x98231),x98232),x98234))),f160(x98231,x98235)))+~P1(f330(f330(f332(f936(f931(x98231),f931(x98231))),f330(f330(f256(f931(x98231),f931(x98231)),x98233),x98234)),f160(x98231,x98235))) % 242.40/242.48 [9824]P1(f330(f330(f332(f936(f931(x98241),f931(x98241))),f330(f330(f256(f931(x98241),f931(x98241)),f330(f330(f137(x98241),x98242),x98243)),f330(f330(f137(x98241),x98242),x98244))),f150(x98241,x98245)))+~P1(f330(f330(f332(f936(f931(x98241),f931(x98241))),f330(f330(f256(f931(x98241),f931(x98241)),x98243),x98244)),f150(x98241,x98245))) % 242.40/242.48 [10019]E(f330(f330(f154(x100191),f674(x100192,x100193,x100194,x100195,x100191)),f677(x100192,x100193,x100194,x100195,x100191)),x100195)+~P1(f330(f330(f332(f936(f931(x100191),f931(x100191))),f330(f330(f256(f931(x100191),f931(x100191)),x100195),f330(f330(f154(x100191),x100194),x100193))),f161(x100191,x100192))) % 242.40/242.48 [10040]E(f330(f330(f154(x100401),f675(x100402,x100403,x100404,x100405,x100401)),f676(x100402,x100403,x100404,x100405,x100401)),x100403)+~P1(f330(f330(f332(f936(f931(x100401),f931(x100401))),f330(f330(f256(f931(x100401),f931(x100401)),f330(f330(f154(x100401),x100405),x100404)),x100403)),f161(x100401,x100402))) % 242.40/242.48 [10185]~P1(f330(f330(f332(f936(f931(x101851),f931(x101851))),f330(f330(f256(f931(x101851),f931(x101851)),f330(f330(f154(x101851),x101855),x101852)),x101854)),f161(x101851,x101853)))+P1(f330(f330(f332(f936(f931(x101851),f931(x101851))),f330(f330(f256(f931(x101851),f931(x101851)),x101852),f676(x101853,x101854,x101852,x101855,x101851))),f161(x101851,x101853))) % 242.40/242.48 [10254]~P1(f330(f330(f332(f936(f931(x102541),f931(x102541))),f330(f330(f256(f931(x102541),f931(x102541)),x102545),f330(f330(f154(x102541),x102544),x102543))),f161(x102541,x102542)))+P1(f330(f330(f332(f936(f931(x102541),f931(x102541))),f330(f330(f256(f931(x102541),f931(x102541)),f677(x102542,x102543,x102544,x102545,x102541)),x102543)),f161(x102541,x102542))) % 242.40/242.48 [10440]P1(f330(f330(f332(f936(x104401,x104401)),f330(f330(f256(x104401,x104401),f330(x104402,f330(f330(f82(a930),x104403),x104404))),f330(x104402,x104403))),f310(x104401,x104405)))+~P1(f330(f330(f332(f936(x104401,x104401)),f330(f330(f256(x104401,x104401),f330(x104402,f330(a115,f596(x104404,x104403,x104405,x104402,x104401)))),f330(x104402,f596(x104404,x104403,x104405,x104402,x104401)))),f310(x104401,x104405))) % 242.40/242.48 [5465]E(x54651,x54652)+~E(f330(f330(f154(x54653),x54654),x54651),f330(f330(f154(x54653),x54655),x54652)) % 242.40/242.48 [5466]E(x54661,x54662)+~E(f330(f330(f154(x54663),x54661),x54664),f330(f330(f154(x54663),x54662),x54665)) % 242.40/242.48 [5514]P1(f330(x55141,x55142))+~E(f330(f139(x55143,x55141),x55144),f330(f330(f154(x55143),x55142),x55145)) % 242.40/242.48 [5515]P1(f330(x55151,x55152))+~E(f330(f330(f154(x55153),x55152),x55154),f330(f139(x55153,x55151),x55155)) % 242.40/242.48 [5672]~E(f330(f330(f141(x56721),x56723),x56722),f330(f330(f154(x56721),x56724),x56725))+E(f330(f330(f167(x56721),x56722),x56723),x56724) % 242.40/242.48 [5810]~P17(x58104,x58105,x58101)+E(f330(f330(x58101,x58102),f330(f330(x58101,x58102),x58103)),f330(f330(x58101,x58102),x58103)) % 242.40/242.48 [6358]~E(x63584,f2(a102))+E(f330(f330(f120(x63581,x63582,x63583),x63584),x63585),f330(f330(f256(f931(x63582),x63581),f116(x63582)),x63585)) % 242.40/242.48 [6428]~P112(x64282)+~E(f330(f330(f151(x64281,x64282,x64283),x64284),x64285),f116(x64281)) % 242.40/242.48 [6815]E(x68151,x68152)+~E(f330(f330(f137(x68153),x68154),f330(f330(f154(x68153),x68151),f116(x68153))),f330(f330(f137(x68153),x68155),f330(f330(f154(x68153),x68152),f116(x68153)))) % 242.40/242.48 [6816]E(x68161,x68162)+~E(f330(f330(f137(x68163),x68161),f330(f330(f154(x68163),x68164),f116(x68163))),f330(f330(f137(x68163),x68162),f330(f330(f154(x68163),x68165),f116(x68163)))) % 242.40/242.48 [7124]E(f330(f330(f312(x71241),f330(x71242,x71243)),f330(f313(x71244,x71241,x71242),x71245)),f330(f313(x71244,x71241,x71242),x71245))+~P1(f330(f330(f332(x71244),x71243),x71245)) % 242.40/242.48 [7131]~P1(f330(x71314,f330(x71313,x71315)))+P1(f330(f330(f314(x71311,x71312,x71313),x71314),x71315)) % 242.40/242.48 [7134]~P1(f330(f330(x71343,x71345),x71344))+P1(f330(f330(f247(x71341,x71342,x71343),x71344),x71345)) % 242.40/242.48 [7230]~E(f330(f313(x72301,x72302,x72303),x72304),x72305)+E(f330(f313(f937(x72301,a925),f937(x72302,a925),f313(x72301,x72302,x72303)),f330(f311(x72301),x72304)),f330(f311(x72302),x72305)) % 242.40/242.48 [7257]E(f330(f275(x72571,x72572,x72573,x72574),x72575),f330(x72574,x72575))+~P1(f330(f330(f332(x72571),x72575),x72573)) % 242.40/242.48 [7574]P28(x75741,x75742,x75743,x75744)+~P28(x75741,x75742,x75743,f330(f330(f312(x75741),x75745),x75744)) % 242.40/242.48 [7639]P1(f330(x76391,x76392))+~P1(f330(f330(f95(x76393,x76394,x76391),x76395),x76392)) % 242.40/242.48 [7686]~P1(f330(f330(f332(x76864),x76863),x76865))+P1(f330(f330(f332(x76861),f330(x76862,x76863)),f330(f313(x76864,x76861,x76862),x76865))) % 242.40/242.48 [7708]~P112(x77082)+E(f153(x77081,x77082,x77083,f330(f139(x77081,x77084),x77085)),f330(f139(x77081,x77084),f153(x77081,x77082,x77083,x77085))) % 242.40/242.48 [7739]P1(f330(x77391,f330(x77392,x77393)))+~P1(f330(f330(f314(x77394,x77395,x77392),x77391),x77393)) % 242.40/242.48 [7742]P1(f330(f330(x77421,x77422),x77423))+~P1(f330(f330(f247(x77424,x77425,x77421),x77423),x77422)) % 242.40/242.48 [7743]P1(f330(f330(x77431,x77432),x77433))+~P1(f330(f330(f95(x77434,x77431,x77435),x77432),x77433)) % 242.40/242.48 [7804]~P1(f330(f330(f332(x78043),f330(x78044,x78042)),x78045))+P1(f330(f330(f332(x78041),x78042),f330(f314(x78041,x78043,x78044),x78045))) % 242.40/242.48 [8204]~P1(f330(f330(f332(x82045),x82043),f330(f314(x82045,x82041,x82042),x82044)))+P1(f330(f330(f332(x82041),f330(x82042,x82043)),x82044)) % 242.40/242.48 [8513]~P19(x85132,x85131,x85133)+E(f330(f145(x85131,x85132,f330(f7(x85132,x85131,x85131),x85133),x85134),f155(x85132,x85135)),f330(f330(f66(x85132,x85131,x85133),x85134),f330(f175(x85132),x85135))) % 242.40/242.48 [8535]E(f330(x85351,f786(x85352,x85351,x85353,x85354)),x85354)+~P1(f330(f330(f332(x85355),x85354),f330(f313(x85353,x85355,x85351),x85352))) % 242.40/242.48 [8536]E(f330(x85361,f388(x85362,x85361,x85363,x85364)),x85364)+~P1(f330(f330(f332(x85365),x85364),f330(f313(x85363,x85365,x85361),x85362))) % 242.40/242.48 [8852]~E(x88522,f330(f330(f154(x88521),x88524),x88525))+P1(f330(f330(f332(f936(f931(x88521),f931(x88521))),f330(f330(f256(f931(x88521),f931(x88521)),f116(x88521)),x88522)),f150(x88521,x88523))) % 242.40/242.48 [8898]E(f330(x88981,f330(f94(x88982,x88983,x88984,x88981),x88985)),x88985)+~P1(f330(f330(f332(x88983),x88985),f330(f313(x88982,x88983,x88981),x88984))) % 242.40/242.48 [8901]P28(x89011,x89012,f94(x89012,x89011,x89013,x89014),x89015)+~P1(f330(f330(f239(f937(x89011,a925)),x89015),f330(f313(x89012,x89011,x89014),x89013))) % 242.40/242.48 [8908]~P39(x89081,x89083,x89085,x89082,x89084)+E(f330(f192(f931(x89081)),x89082),f330(f192(f931(x89083)),x89084)) % 242.40/242.48 [8919]P1(f330(f330(f239(f937(x89191,a925)),f330(f330(f42(x89192,f937(x89191,a925)),x89193),x89194)),f330(x89194,x89195)))+~P1(f330(f330(f332(x89192),x89195),x89193)) % 242.40/242.48 [8973]~P63(x89731,x89732,x89733,x89735,x89734)+E(f330(f313(x89731,x89732,x89733),f246(f937(x89731,a925))),x89734) % 242.40/242.48 [9203]E(f330(f139(x92031,x92032),f762(x92033,x92034,x92035,x92032,x92031)),x92033)+~E(f330(f139(x92031,x92032),x92035),f330(f330(f154(x92031),x92034),x92033)) % 242.40/242.48 [9204]E(f330(f139(x92041,x92042),f763(x92043,x92042,x92044,x92045,x92041)),x92044)+~E(f330(f330(f154(x92041),x92045),x92044),f330(f139(x92041,x92042),x92043)) % 242.40/242.48 [9299]E(f330(f192(f931(x92991)),x92992),x92993)+~P1(f330(f330(f332(f936(f931(x92991),f931(x92991))),f330(f330(f256(f931(x92991),f931(x92991)),x92994),x92992)),f330(f146(x92991,x92995),x92993))) % 242.40/242.48 [9300]E(f330(f192(f931(x93001)),x93002),x93003)+~P1(f330(f330(f332(f936(f931(x93001),f931(x93001))),f330(f330(f256(f931(x93001),f931(x93001)),x93002),x93004)),f330(f146(x93001,x93005),x93003))) % 242.40/242.48 [9369]P1(f330(f330(f332(x93691),f786(x93692,x93693,x93691,x93694)),x93692))+~P1(f330(f330(f332(x93695),x93694),f330(f313(x93691,x93695,x93693),x93692))) % 242.40/242.48 [9370]P1(f330(f330(f332(x93701),f388(x93702,x93703,x93701,x93704)),x93702))+~P1(f330(f330(f332(x93705),x93704),f330(f313(x93701,x93705,x93703),x93702))) % 242.40/242.48 [9532]E(f330(f313(x95321,x95322,x95323),f470(x95324,x95323,x95321,x95325,x95322)),x95325)+~P1(f330(f330(f239(f937(x95322,a925)),x95325),f330(f313(x95321,x95322,x95323),x95324))) % 242.40/242.48 [9841]P1(f330(f330(f332(f936(f931(x98411),f931(x98411))),f330(f330(f256(f931(x98411),f931(x98411)),f330(f330(f154(x98411),x98412),x98413)),f330(f330(f154(x98411),x98412),x98414))),f310(f931(x98411),f160(x98411,x98415))))+~P1(f330(f330(f332(f936(f931(x98411),f931(x98411))),f330(f330(f256(f931(x98411),f931(x98411)),x98413),x98414)),f310(f931(x98411),f160(x98411,x98415)))) % 242.40/242.48 [9872]~E(f330(x98723,f714(x98725,x98724,x98723,x98722,x98721)),f330(x98725,f714(x98725,x98724,x98723,x98722,x98721)))+E(f330(f330(f157(x98721,x98722),x98723),x98724),f330(f330(f157(x98721,x98722),x98725),x98724)) % 242.40/242.48 [9947]~E(f330(f139(x99471,x99475),x99474),f330(f330(f154(x99471),x99473),x99472))+E(f330(f330(f137(x99471),f766(x99472,x99473,x99474,x99475,x99471)),f330(f330(f154(x99471),x99473),f762(x99472,x99473,x99474,x99475,x99471))),x99474) % 242.40/242.48 [9948]~E(f330(f330(f154(x99481),x99485),x99484),f330(f139(x99481,x99483),x99482))+E(f330(f330(f137(x99481),f764(x99482,x99483,x99484,x99485,x99481)),f330(f330(f154(x99481),x99485),f763(x99482,x99483,x99484,x99485,x99481))),x99482) % 242.40/242.48 [9952]E(f330(f330(f157(x99521,x99522),x99523),x99524),f330(f330(f157(x99521,x99522),x99525),x99524))+P1(f330(f330(f332(x99521),f714(x99523,x99524,x99525,x99522,x99521)),f330(f175(x99521),x99524))) % 242.40/242.48 [9982]~P1(f330(f330(f332(x99825),x99824),f330(f289(x99821,x99825,x99823),x99822)))+P1(f330(f330(f332(x99821),f499(x99822,x99823,x99821,x99824,x99825)),x99822)) % 242.40/242.48 [9983]~P1(f330(f330(f332(x99835),x99834),f330(f289(x99831,x99835,x99833),x99832)))+P1(f330(f330(f332(x99831),f535(x99832,x99833,x99831,x99834,x99835)),x99832)) % 242.40/242.48 [10013]~P1(f330(f330(f239(f937(x100135,a925)),x100134),f330(f313(x100131,x100135,x100133),x100132)))+P1(f330(f330(f239(f937(x100131,a925)),f470(x100132,x100133,x100131,x100134,x100135)),x100132)) % 242.40/242.48 [10441]E(x104411,f2(a102))+E(f227(f936(f931(x104412),x104413),f936(x104412,x104413),f330(f330(f256(f931(x104412),x104413),f116(x104412)),x104414),f330(f261(x104412,x104413,f936(f931(x104412),x104413)),f330(f330(f7(x104412,f937(x104413,f936(f931(x104412),x104413)),f937(x104413,f936(f931(x104412),x104413))),f330(f330(f8(f937(f936(f931(x104412),x104413),f936(f931(x104412),x104413)),f937(f937(x104413,f936(f931(x104412),x104413)),f937(x104413,f936(f931(x104412),x104413))),x104412),f8(f936(f931(x104412),x104413),f936(f931(x104412),x104413),x104413)),f330(f330(f8(f937(f931(x104412),f937(x104413,f936(f931(x104412),x104413))),f937(f936(f931(x104412),x104413),f936(f931(x104412),x104413)),x104412),f261(f931(x104412),x104413,f936(f931(x104412),x104413))),f330(f330(f8(f937(f931(x104412),f931(x104412)),f937(f931(x104412),f937(x104413,f936(f931(x104412),x104413))),x104412),f330(f8(f931(x104412),f937(x104413,f936(f931(x104412),x104413)),f931(x104412)),f256(f931(x104412),x104413))),f154(x104412))))),f330(f120(x104413,x104412,x104415),f330(f330(f23(a102),x104411),f80(a102))))),f330(x104415,x104414)),f330(f330(f120(x104413,x104412,x104415),x104411),x104414)) % 242.40/242.48 [6238]E(x62381,x62382)+~E(f330(f260(x62383,x62384),f330(f330(f256(x62383,x62384),x62385),x62381)),x62382) % 242.40/242.48 [6239]E(x62391,x62392)+~E(f330(f255(x62393,x62394),f330(f330(f256(x62393,x62394),x62391),x62395)),x62392) % 242.40/242.48 [6501]~E(x65013,f330(f330(f137(x65011),x65014),f330(f330(f154(x65011),x65012),x65015)))+P1(f330(f330(f332(x65011),x65012),f330(f175(x65011),x65013))) % 242.40/242.48 [6899]E(f330(f313(x68991,x68992,f330(f16(x68992,x68991),x68993)),x68994),f330(f330(f312(x68992),x68993),f191(f937(x68992,a925))))+~P1(f330(f330(f332(x68991),x68995),x68994)) % 242.40/242.48 [6968]E(f330(f330(f113(f937(x69681,a925)),f330(f175(x69681),x69682)),f330(f175(x69681),x69683)),f330(f175(x69681),x69684))+~E(f169(x69681,x69685,x69684),f330(f330(f256(f931(x69681),f931(x69681)),x69682),x69683)) % 242.40/242.48 [7067]~P112(x70672)+E(f330(f192(f931(x70671)),f330(f330(f151(x70671,x70672,x70673),x70674),x70675)),f330(a115,f330(f192(f931(x70671)),x70675))) % 242.40/242.48 [7079]~P112(x70792)+E(f330(f175(x70791),f330(f330(f151(x70791,x70792,x70793),x70794),x70795)),f330(f330(f312(x70791),x70794),f330(f175(x70791),x70795))) % 242.40/242.48 [7351]~P119(x73511)+E(f330(f330(f82(x73511),f330(f330(f82(x73511),x73512),x73513)),f330(f330(f82(x73511),x73514),x73515)),f330(f330(f82(x73511),f330(f330(f82(x73511),x73512),x73514)),f330(f330(f82(x73511),x73513),x73515))) % 242.40/242.48 [7352]~P119(x73521)+E(f330(f330(f83(x73521),f330(f330(f83(x73521),x73522),x73523)),f330(f330(f83(x73521),x73524),x73525)),f330(f330(f83(x73521),f330(f330(f83(x73521),x73522),x73524)),f330(f330(f83(x73521),x73523),x73525))) % 242.40/242.48 [7353]~P70(x73531)+E(f330(f330(f293(x73531),f330(f330(f83(x73531),x73532),x73533)),f330(f330(f83(x73531),x73534),x73535)),f330(f330(f83(x73531),f330(f330(f293(x73531),x73532),x73534)),f330(f330(f293(x73531),x73533),x73535))) % 242.40/242.48 [7367]~P112(x73671)+E(f306(x73671,f330(f330(f238(x73671),x73672),x73673),f330(f330(f237(x73671),x73674),x73675)),f330(f330(f104(f937(x73671,a925)),f306(x73671,x73672,x73674)),f306(x73671,x73673,x73675))) % 242.40/242.48 [7368]~P112(x73681)+E(f309(x73681,f330(f330(f238(x73681),x73682),x73683),f330(f330(f237(x73681),x73684),x73685)),f330(f330(f104(f937(x73681,a925)),f309(x73681,x73682,x73684)),f309(x73681,x73683,x73685))) % 242.40/242.48 [7369]~P112(x73691)+E(f308(x73691,f330(f330(f238(x73691),x73692),x73693),f330(f330(f237(x73691),x73694),x73695)),f330(f330(f104(f937(x73691,a925)),f308(x73691,x73692,x73694)),f308(x73691,x73693,x73695))) % 242.40/242.48 [7370]~P112(x73701)+E(f330(f330(f104(f937(x73701,a925)),f330(f305(x73701,x73702),x73703)),f330(f305(x73701,x73704),x73705)),f330(f305(x73701,f330(f330(f238(x73701),x73702),x73704)),f330(f330(f237(x73701),x73703),x73705))) % 242.40/242.48 [7492]~P1(f330(x74921,f493(x74923,x74922,x74921)))+P1(f330(x74921,f330(f330(f256(x74922,x74923),x74924),x74925))) % 242.40/242.48 [7606]~E(x76062,f330(x76064,x76065))+P1(f330(f330(f332(x76061),x76062),f330(f313(x76063,x76061,x76064),f246(f937(x76063,a925))))) % 242.40/242.48 [7683]~P17(x76833,x76832,x76834)+P17(x76831,x76832,f330(f330(f8(x76833,f937(x76832,x76832),x76831),x76834),x76835)) % 242.40/242.48 [7684]~P19(x76843,x76842,x76844)+P19(x76841,x76842,f330(f330(f8(x76843,f937(x76842,x76842),x76841),x76844),x76845)) % 242.40/242.48 [7821]~P28(x78211,x78212,x78213,x78214)+P28(x78211,x78212,x78213,f330(f330(f23(f937(x78211,a925)),x78214),x78215)) % 242.40/242.48 [7976]~P1(f330(f330(x79763,x79764),x79765))+P1(f330(f330(f261(x79761,x79762,a925),x79763),f330(f330(f256(x79761,x79762),x79764),x79765))) % 242.40/242.48 [8094]~P1(f330(x80942,x80944))+~E(f330(f330(f141(x80941),f330(f192(f931(x80941)),f180(x80941,x80942,x80943))),x80943),f330(f330(f154(x80941),x80944),x80945)) % 242.40/242.48 [8114]P28(x81141,x81142,x81143,x81144)+~P28(x81141,x81142,x81143,f330(f330(f113(f937(x81141,a925)),x81145),x81144)) % 242.40/242.48 [8115]P28(x81151,x81152,x81153,x81154)+~P28(x81151,x81152,x81153,f330(f330(f113(f937(x81151,a925)),x81154),x81155)) % 242.40/242.48 [8162]~P112(x81622)+E(f330(f330(f151(x81621,x81622,x81623),x81624),f153(x81621,x81622,x81623,x81625)),f153(x81621,x81622,x81623,f330(f330(f154(x81621),x81624),x81625))) % 242.40/242.48 [8331]~P31(x83311,f330(a115,x83312),f330(f330(f330(f93(x83311),x83313),f330(a26,x83314)),x83315))+P31(x83311,x83312,f330(f330(f330(f93(x83311),x83313),f330(f236(a927),f330(a27,x83314))),x83315)) % 242.40/242.48 [8460]P31(x84601,f330(a115,x84602),f330(f330(f330(f93(x84601),x84603),f330(a26,x84604)),x84605))+~P31(x84601,x84602,f330(f330(f330(f93(x84601),x84603),f330(f236(a927),f330(a27,x84604))),x84605)) % 242.40/242.48 [8489]~P17(x84892,x84891,x84893)+E(f330(f145(x84891,x84892,f330(f7(x84892,x84891,x84891),x84893),x84894),x84895),f330(f330(f66(x84892,x84891,x84893),x84894),f330(f175(x84892),x84895))) % 242.40/242.48 [8518]~E(f330(f330(f141(x85181),f330(f192(f931(x85181)),f180(x85181,x85182,x85183))),x85183),f330(f330(f154(x85181),x85184),x85185))+E(f330(f330(f137(x85181),f180(x85181,x85182,x85183)),f330(f330(f154(x85181),x85184),x85185)),x85183) % 242.40/242.48 [8546]P1(f330(f330(x85461,x85462),x85463))+~P1(f330(f330(f261(x85464,x85465,a925),x85461),f330(f330(f256(x85464,x85465),x85462),x85463))) % 242.40/242.48 [8620]P46(x86204,f503(x86205,x86204,x86203,x86202),x86202,f523(x86205,x86204,x86203,x86202))+P31(x86201,x86202,f330(f330(f330(f93(x86201),x86203),x86204),x86205)) % 242.40/242.48 [9036]P1(f330(f330(f239(f937(x90361,a925)),f330(f313(x90362,x90361,x90363),x90364)),f330(f313(x90362,x90361,x90363),x90365)))+~P1(f330(f330(f239(f937(x90362,a925)),x90364),x90365)) % 242.40/242.48 [9037]P1(f330(f330(f239(f937(x90371,a925)),f330(f314(x90371,x90372,x90373),x90374)),f330(f314(x90371,x90372,x90373),x90375)))+~P1(f330(f330(f239(f937(x90372,a925)),x90374),x90375)) % 242.40/242.48 [9116]E(x91161,f2(a102))+E(f330(f330(f263(x91162,x91163,x91162,f936(x91163,x91162)),f330(x91164,x91165)),f277(x91163,x91162,f330(f330(f23(a102),x91161),f80(a102)),x91164)),f330(f277(x91163,x91162,x91161,x91164),x91165)) % 242.40/242.48 [9230]P1(f330(f330(f259(x92301,x92302,a925,x92303),x92304),x92305))+~P1(f330(x92303,f330(f330(f256(x92301,x92302),x92304),x92305))) % 242.40/242.48 [9449]P31(x94491,x94492,f330(f330(f330(f93(x94491),x94493),x94494),x94495))+P1(f330(f330(x94493,f498(x94495,x94494,x94493,x94492)),f503(x94495,x94494,x94493,x94492))) % 242.40/242.48 [9511]~P1(f330(f330(f259(x95112,x95113,a925,x95111),x95114),x95115))+P1(f330(x95111,f330(f330(f256(x95112,x95113),x95114),x95115))) % 242.40/242.48 [9689]P31(x96891,x96892,f330(f330(f330(f93(x96891),x96893),x96894),x96895))+~P1(f330(f330(x96895,f498(x96895,x96894,x96893,x96892)),f523(x96895,x96894,x96893,x96892))) % 242.40/242.48 [9692]~P1(f330(f330(f332(x96922),x96925),f330(f313(x96921,x96922,x96924),x96923)))+P1(f330(f330(f332(x96921),f330(f94(x96921,x96922,x96923,x96924),x96925)),x96923)) % 242.40/242.48 [9783]~P1(f330(f63(x97833),f330(f313(x97832,x97833,x97835),f246(f937(x97832,a925)))))+P1(f330(f63(x97831),f330(f313(x97832,x97831,f330(f330(f8(x97833,x97831,x97832),x97834),x97835)),f246(f937(x97832,a925))))) % 242.40/242.48 [9808]P1(f330(f330(f239(f937(f937(x98081,a925),a925)),f330(f313(f937(x98082,a925),f937(x98081,a925),f313(x98082,x98081,x98083)),f330(f311(x98082),x98084))),f330(f311(x98081),x98085)))+~P1(f330(f330(f239(f937(x98081,a925)),f330(f313(x98082,x98081,x98083),x98084)),x98085)) % 242.40/242.48 [9880]E(x98801,x98802)+~P1(f330(f68(x98803,x98804,x98805,x98801,f191(f937(x98803,a925))),x98802)) % 242.40/242.48 [9896]E(f330(f330(f256(x98961,x98962),f534(x98963,x98964,x98965,x98962,x98961)),f536(x98963,x98964,x98965,x98962,x98961)),x98965)+~P1(f330(f330(f332(f936(x98961,x98962)),x98965),f330(f330(f258(x98961,x98962),x98964),x98963))) % 242.40/242.48 [9988]P1(f330(f330(f332(x99881),f534(x99882,x99883,x99884,x99885,x99881)),x99883))+~P1(f330(f330(f332(f936(x99881,x99885)),x99884),f330(f330(f258(x99881,x99885),x99883),x99882))) % 242.40/242.48 [10143]P1(f330(f330(f332(x101431),f536(x101432,x101433,x101434,x101431,x101435)),f330(x101432,f534(x101432,x101433,x101434,x101431,x101435))))+~P1(f330(f330(f332(f936(x101435,x101431)),x101434),f330(f330(f258(x101435,x101431),x101433),x101432))) % 242.40/242.48 [10163]P1(f330(f330(f332(f936(x101631,x101631)),f330(f330(f256(x101631,x101631),x101632),f618(x101633,x101634,x101635,x101632,x101631))),x101633))+~P1(f330(f330(f332(f936(x101631,x101631)),f330(f330(f256(x101631,x101631),x101632),x101635)),f330(f330(f186(f936(x101631,x101631),a925),f330(a115,x101634)),x101633))) % 242.40/242.48 [10164]P1(f330(f330(f332(f936(x101641,x101641)),f330(f330(f256(x101641,x101641),x101642),f620(x101643,x101644,x101645,x101642,x101641))),x101643))+~P1(f330(f330(f332(f936(x101641,x101641)),f330(f330(f256(x101641,x101641),x101642),x101645)),f330(f330(f186(f936(x101641,x101641),a925),f330(a115,x101644)),x101643))) % 242.40/242.48 [10181]~P1(f330(f330(f332(f936(f931(x101811),f931(x101811))),f330(f330(f256(f931(x101811),f931(x101811)),f330(f330(f154(x101811),x101812),x101815)),x101814)),f161(x101811,x101813)))+P1(f330(f330(f332(f936(x101811,x101811)),f330(f330(f256(x101811,x101811),x101812),f675(x101813,x101814,x101815,x101812,x101811))),x101813)) % 242.40/242.48 [10183]~P27(x101831,x101832,f330(f330(f312(f929(x101831)),f330(f330(f330(f93(x101831),f95(x101831,x101833,x101834)),x101835),x101833)),f191(f937(f929(x101831),a925))))+P27(x101831,x101832,f330(f330(f312(f929(x101831)),f330(f330(f330(f93(x101831),x101833),f31(x101834,x101835)),f95(x101831,x101833,f330(f74(a925,a925,a926,a325),x101834)))),f191(f937(f929(x101831),a925)))) % 242.40/242.48 [6577]P1(f330(x65772,x65774))+E(f180(x65771,x65772,f330(f330(f137(x65771),x65773),f330(f330(f154(x65771),x65774),x65775))),f180(x65771,x65772,x65773)) % 242.40/242.48 [6626]~P2(x66262)+E(f330(f330(f330(f113(f937(x66261,x66262)),x66263),x66264),x66265),f330(f330(f113(x66262),f330(x66263,x66265)),f330(x66264,x66265))) % 242.40/242.48 [6628]~P4(x66282)+E(f330(f330(f330(f23(f937(x66281,x66282)),x66283),x66284),x66285),f330(f330(f23(x66282),f330(x66283,x66285)),f330(x66284,x66285))) % 242.40/242.48 [6630]~P2(x66302)+E(f330(f330(f330(f104(f937(x66301,x66302)),x66303),x66304),x66305),f330(f330(f104(x66302),f330(x66303,x66305)),f330(x66304,x66305))) % 242.40/242.48 [6649]E(x66491,x66492)+E(f330(f330(f167(x66493),f330(f330(f162(x66493,x66494),x66491),x66495)),x66492),f330(f330(f167(x66493),x66494),x66492)) % 242.40/242.48 [6917]~E(x69174,f191(f937(x69173,a925)))+E(f330(f330(f113(f937(x69171,a925)),x69172),f330(f330(f41(x69173,f937(x69171,a925)),x69174),x69175)),x69172) % 242.40/242.48 [6918]~E(x69184,f191(f937(x69183,a925)))+E(f330(f330(f23(f937(x69181,a925)),x69182),f330(f330(f41(x69183,f937(x69181,a925)),x69184),x69185)),x69182) % 242.40/242.48 [6919]~E(x69194,f191(f937(x69193,a925)))+E(f330(f330(f104(f937(x69191,a925)),x69192),f330(f330(f42(x69193,f937(x69191,a925)),x69194),x69195)),x69192) % 242.40/242.48 [6934]~E(x69344,f191(f937(x69343,a925)))+E(f330(f330(f312(x69341),x69342),f330(f330(f41(x69343,f937(x69341,a925)),x69344),x69345)),f330(f330(f312(x69341),x69342),f191(f937(x69341,a925)))) % 242.40/242.48 [7730]E(f330(f330(f167(x77301),f330(f330(f157(x77302,x77301),x77303),x77304)),x77305),f330(x77303,f330(f330(f167(x77302),x77304),x77305)))+~P1(f330(f330(f240(a930),x77305),f330(f192(f931(x77302)),x77304))) % 242.40/242.48 [7792]E(f330(f330(f113(f937(x77921,a925)),f330(x77922,x77923)),f330(f330(f41(x77924,f937(x77921,a925)),x77925),x77922)),f330(f330(f41(x77924,f937(x77921,a925)),x77925),x77922))+~P1(f330(f330(f332(x77924),x77923),x77925)) % 242.40/242.48 [7793]E(f330(f330(f104(f937(x77931,a925)),f330(x77932,x77933)),f330(f330(f42(x77934,f937(x77931,a925)),x77935),x77932)),f330(f330(f42(x77934,f937(x77931,a925)),x77935),x77932))+~P1(f330(f330(f332(x77934),x77933),x77935)) % 242.40/242.48 [8410]~E(x84103,f191(f937(x84101,a925)))+E(f330(f330(f41(x84101,f937(x84102,a925)),x84103),f330(f330(f8(f937(x84102,a925),f937(x84102,a925),x84101),f330(f312(x84102),x84104)),x84105)),f191(f937(x84102,a925))) % 242.40/242.48 [8416]~P1(f330(f330(f332(x84164),x84163),x84165))+P1(f330(f330(f239(f937(x84161,a925)),f330(x84162,x84163)),f330(f330(f41(x84164,f937(x84161,a925)),x84165),x84162))) % 242.40/242.48 [8545]~E(f330(x85454,x85452),x85455)+P1(f330(f330(f332(x85451),x85452),f330(f314(x85451,x85453,x85454),f330(f330(f312(x85453),x85455),f191(f937(x85453,a925)))))) % 242.40/242.48 [8594]~P61(x85941,x85942,f330(f290(x85942,x85941),x85943))+E(f330(f330(f104(f937(x85941,a925)),f330(f289(x85942,x85941,x85943),x85944)),f330(f289(x85942,x85941,x85943),x85945)),f330(f289(x85942,x85941,x85943),f330(f330(f104(f937(x85942,a925)),x85944),x85945))) % 242.40/242.48 [8672]E(x86721,f2(a102))+E(f330(f121(x86722,x86723,f330(x86724,f330(f330(f23(a102),x86721),f80(a102)))),f330(f330(f7(x86722,a102,f932(x86723)),x86725),x86721)),f330(f202(x86722,x86723,x86724,x86725),x86721)) % 242.40/242.48 [8714]E(x87141,f191(f937(x87142,a925)))+E(f330(f330(f41(x87142,f937(x87143,a925)),x87141),f330(f330(f8(f937(x87143,a925),f937(x87143,a925),x87142),f330(f312(x87143),x87144)),x87145)),f330(f330(f312(x87143),x87144),f330(f330(f41(x87142,f937(x87143,a925)),x87141),x87145))) % 242.40/242.48 [8770]~P28(x87702,x87701,x87703,f246(f937(x87702,a925)))+E(f330(f330(f23(f937(x87701,a925)),f330(f313(x87702,x87701,x87703),x87704)),f330(f313(x87702,x87701,x87703),x87705)),f330(f313(x87702,x87701,x87703),f330(f330(f23(f937(x87702,a925)),x87704),x87705))) % 242.40/242.48 [8771]~P28(x87712,x87711,x87713,f246(f937(x87712,a925)))+E(f330(f330(f104(f937(x87711,a925)),f330(f313(x87712,x87711,x87713),x87714)),f330(f313(x87712,x87711,x87713),x87715)),f330(f313(x87712,x87711,x87713),f330(f330(f104(f937(x87712,a925)),x87714),x87715))) % 242.40/242.48 [8839]~P1(f330(f330(f69(x88391,x88392,x88395),x88393),x88394))+P1(f330(f330(f332(f936(x88391,x88392)),f330(f330(f256(x88391,x88392),x88393),x88394)),x88395)) % 242.40/242.48 [8871]P1(f330(f330(f332(x88711),x88712),f330(f288(x88713,x88711),x88714)))+~P1(f330(f330(f332(f936(x88713,x88711)),f330(f330(f256(x88713,x88711),x88715),x88712)),x88714)) % 242.40/242.48 [8873]P1(f330(f330(f332(x88731),x88732),f330(f268(x88731,x88733),x88734)))+~P1(f330(f330(f332(f936(x88731,x88733)),f330(f330(f256(x88731,x88733),x88732),x88735)),x88734)) % 242.40/242.48 [9020]P1(f330(f330(f69(x90201,x90202,x90203),x90204),x90205))+~P1(f330(f330(f332(f936(x90201,x90202)),f330(f330(f256(x90201,x90202),x90204),x90205)),x90203)) % 242.40/242.48 [9059]E(f330(x90591,x90592),x90593)+~P1(f330(f330(f332(x90594),x90592),f330(f314(x90594,x90595,x90591),f330(f330(f312(x90595),x90593),f191(f937(x90595,a925)))))) % 242.40/242.48 [9296]P1(f330(f330(f332(f936(x92961,x92962)),f330(f330(f256(x92961,x92962),x92963),x92964)),f330(f290(x92962,x92961),x92965)))+~P1(f330(f330(f332(f936(x92962,x92961)),f330(f330(f256(x92962,x92961),x92964),x92963)),x92965)) % 242.40/242.48 [9314]~P1(f330(f330(x93141,x93145),x93144))+P1(f330(f330(x93141,f330(f260(x93142,x93143),f330(f330(f256(x93142,x93143),x93144),x93145))),f330(f255(x93142,x93143),f330(f330(f256(x93142,x93143),x93144),x93145)))) % 242.40/242.48 [9344]~P1(f330(f330(f332(f936(x93442,x93441)),f330(f330(f256(x93442,x93441),x93444),x93443)),f330(f290(x93441,x93442),x93445)))+P1(f330(f330(f332(f936(x93441,x93442)),f330(f330(f256(x93441,x93442),x93443),x93444)),x93445)) % 242.40/242.48 [9377]~P1(f330(f330(f332(f936(x93773,x93771)),f330(f330(f256(x93773,x93771),x93775),x93772)),x93774))+P1(f330(f330(f332(x93771),x93772),f330(f289(x93773,x93771,x93774),f330(f330(f312(x93773),x93775),f191(f937(x93773,a925)))))) % 242.40/242.48 [9430]P1(f330(f330(f332(f936(x94301,x94302)),f330(f330(f256(x94301,x94302),x94303),x94304)),x94305))+~P1(f330(f330(f332(x94302),x94304),f330(f289(x94301,x94302,x94305),f330(f330(f312(x94301),x94303),f191(f937(x94301,a925)))))) % 242.40/242.48 [9518]~P74(x95181)+E(f330(f330(f6(a930,x95181),x95182),f306(a930,f330(f330(f82(a930),x95183),x95184),f330(f330(f82(a930),x95185),x95184))),f330(f330(f6(a930,x95181),f330(f330(f8(a930,x95181,a930),x95182),f330(f330(f7(a930,a930,a930),f82(a930)),x95184))),f306(a930,x95183,x95185))) % 242.40/242.48 [9537]~P74(x95371)+E(f330(f330(f6(a930,x95371),x95372),f330(f305(a930,f330(f330(f82(a930),x95373),x95374)),f330(f330(f82(a930),x95375),x95374))),f330(f330(f6(a930,x95371),f330(f330(f8(a930,x95371,a930),x95372),f330(f330(f7(a930,a930,a930),f82(a930)),x95374))),f330(f305(a930,x95373),x95375))) % 242.40/242.48 [9593]~P28(x95931,x95932,x95933,f246(f937(x95931,a925)))+E(f330(f330(f157(x95931,x95932),x95933),f330(f139(x95931,f330(f330(f8(a925,a925,x95931),a325),f330(a327,x95934))),x95935)),f330(f139(x95932,f330(f330(f8(a925,a925,x95932),a325),f330(a327,f330(x95933,x95934)))),f330(f330(f157(x95931,x95932),x95933),x95935))) % 242.40/242.48 [9611]~P28(x96111,x96112,x96113,f330(f330(f312(x96111),x96114),f330(f175(x96111),x96115)))+E(f330(f330(f157(x96111,x96112),x96113),f330(f139(x96111,f330(f330(f8(a925,a925,x96111),a325),f330(a327,x96114))),x96115)),f330(f139(x96112,f330(f330(f8(a925,a925,x96112),a325),f330(a327,f330(x96113,x96114)))),f330(f330(f157(x96111,x96112),x96113),x96115))) % 242.40/242.48 [9771]P1(f330(f330(f332(f936(f931(x97711),f931(x97711))),f330(f330(f256(f931(x97711),f931(x97711)),f330(f330(f154(x97711),x97712),x97713)),f330(f330(f154(x97711),x97714),x97713))),f160(x97711,x97715)))+~P1(f330(f330(f332(f936(x97711,x97711)),f330(f330(f256(x97711,x97711),x97712),x97714)),x97715)) % 242.40/242.48 [9891]E(f330(f330(f312(x98911),f431(x98912,x98913,x98914,x98915,x98911)),f432(x98912,x98913,x98914,x98915,x98911)),f330(f330(f312(x98911),x98914),x98913))+~P1(f330(f64(x98911,x98915,f330(f330(f312(x98911),x98914),x98913)),x98912)) % 242.40/242.48 [9892]E(f330(f330(f312(x98921),f433(x98922,x98923,x98924,x98925,x98921)),f434(x98922,x98923,x98924,x98925,x98921)),f330(f330(f312(x98921),x98924),x98923))+~P1(f330(f64(x98921,x98925,f330(f330(f312(x98921),x98924),x98923)),x98922)) % 242.40/242.48 [9973]P1(f330(f330(f332(x99731),f627(x99732,x99733,x99734,x99735,x99731)),x99734))+P1(f330(f330(f330(f42(x99731,f937(x99735,a925)),x99734),x99733),x99732)) % 242.40/242.48 [9978]P1(f330(f330(f332(x99781),f624(x99782,x99783,x99781,x99784,x99785)),x99783))+P1(f330(f330(f332(x99785),x99784),f330(f330(f42(x99781,f937(x99785,a925)),x99783),x99782))) % 242.40/242.48 [9986]P1(f330(f330(f332(x99861),f626(x99862,x99863,x99861,x99864,x99865)),x99863))+P1(f330(f330(f239(f937(x99865,a925)),x99864),f330(f330(f42(x99861,f937(x99865,a925)),x99863),x99862))) % 242.40/242.48 [9987]P1(f330(f330(f332(x99871),f850(x99872,x99873,x99874,x99875,x99871)),x99875))+P1(f330(f330(f239(f937(x99874,a925)),x99873),f330(f330(f42(x99871,f937(x99874,a925)),x99875),x99872))) % 242.40/242.48 [9989]P1(f330(f330(x99891,f441(x99892,x99891,x99893,x99894,x99895)),x99892))+~P1(f330(f330(f330(f41(x99895,f937(x99894,a925)),x99893),x99891),x99892)) % 242.40/242.48 [9993]P1(f330(f330(f332(x99931),f441(x99932,x99933,x99934,x99935,x99931)),x99934))+~P1(f330(f330(f330(f41(x99931,f937(x99935,a925)),x99934),x99933),x99932)) % 242.40/242.48 [9994]P59(x99944,f330(f330(f42(x99941,f937(x99944,a925)),x99945),x99943),f330(f330(f42(x99941,f937(f936(x99944,x99944),a925)),x99945),x99942))+P1(f330(f330(f332(x99941),f798(x99942,x99943,x99944,x99945,x99941)),x99945)) % 242.40/242.48 [9995]P59(x99954,f330(f330(f41(x99951,f937(x99954,a925)),x99955),x99953),f330(f330(f41(x99951,f937(f936(x99954,x99954),a925)),x99955),x99952))+P1(f330(f330(f332(x99951),f842(x99952,x99953,x99954,x99955,x99951)),x99955)) % 242.40/242.48 [10005]P1(f330(f330(f332(x100051),f454(x100052,x100053,x100051,x100054,x100055)),x100053))+~P1(f330(f330(f332(x100055),x100054),f330(f330(f41(x100051,f937(x100055,a925)),x100053),x100052))) % 242.40/242.48 [10011]P1(f330(f330(f332(x100111),x100112),f330(x100113,f454(x100113,x100114,x100115,x100112,x100111))))+~P1(f330(f330(f332(x100111),x100112),f330(f330(f41(x100115,f937(x100111,a925)),x100114),x100113))) % 242.40/242.48 [10092]~P1(f330(f330(x100924,f627(x100925,x100924,x100923,x100922,x100921)),x100925))+P1(f330(f330(f330(f42(x100921,f937(x100922,a925)),x100923),x100924),x100925)) % 242.40/242.48 [10095]~P1(f330(f330(f332(x100951),x100952),f330(x100955,f624(x100955,x100954,x100953,x100952,x100951))))+P1(f330(f330(f332(x100951),x100952),f330(f330(f42(x100953,f937(x100951,a925)),x100954),x100955))) % 242.40/242.48 [10099]~P59(x100991,f330(x100994,f842(x100995,x100994,x100991,x100993,x100992)),f330(x100995,f842(x100995,x100994,x100991,x100993,x100992)))+P59(x100991,f330(f330(f41(x100992,f937(x100991,a925)),x100993),x100994),f330(f330(f41(x100992,f937(f936(x100991,x100991),a925)),x100993),x100995)) % 242.40/242.48 [10100]~P59(x101001,f330(x101004,f798(x101005,x101004,x101001,x101003,x101002)),f330(x101005,f798(x101005,x101004,x101001,x101003,x101002)))+P59(x101001,f330(f330(f42(x101002,f937(x101001,a925)),x101003),x101004),f330(f330(f42(x101002,f937(f936(x101001,x101001),a925)),x101003),x101005)) % 242.40/242.48 [10101]~P1(f330(f330(f239(f937(x101011,a925)),x101012),f330(x101015,f626(x101015,x101014,x101013,x101012,x101011))))+P1(f330(f330(f239(f937(x101011,a925)),x101012),f330(f330(f42(x101013,f937(x101011,a925)),x101014),x101015))) % 242.40/242.48 [10102]~P1(f330(f330(f239(f937(x101021,a925)),x101022),f330(x101025,f850(x101025,x101022,x101021,x101024,x101023))))+P1(f330(f330(f239(f937(x101021,a925)),x101022),f330(f330(f42(x101023,f937(x101021,a925)),x101024),x101025))) % 242.40/242.48 [10167]~P1(f330(f330(f332(x101671),f431(x101675,x101674,x101673,x101672,x101671)),f432(x101675,x101674,x101673,x101672,x101671)))+~P1(f330(f64(x101671,x101672,f330(f330(f312(x101671),x101673),x101674)),x101675)) % 242.40/242.48 [10168]~P1(f330(f330(f332(x101681),f433(x101685,x101684,x101683,x101682,x101681)),f434(x101685,x101684,x101683,x101682,x101681)))+~P1(f330(f64(x101681,x101682,f330(f330(f312(x101681),x101683),x101684)),x101685)) % 242.40/242.48 [10169]~P1(f330(f330(f332(f936(x101691,x101691)),f330(f330(f256(x101691,x101691),x101692),x101695)),f330(f330(f186(f936(x101691,x101691),a925),f330(a115,x101694)),x101693)))+P1(f330(f330(f332(f936(x101691,x101691)),f330(f330(f256(x101691,x101691),x101692),f619(x101693,x101694,x101695,x101692,x101691))),f330(f330(f186(f936(x101691,x101691),a925),x101694),x101693))) % 242.40/242.48 [10175]P1(f330(f68(x101751,x101751,x101752,f431(x101753,x101754,x101755,x101752,x101751),f432(x101753,x101754,x101755,x101752,x101751)),x101753))+~P1(f330(f64(x101751,x101752,f330(f330(f312(x101751),x101755),x101754)),x101753)) % 242.40/242.48 [10176]P1(f330(f68(x101761,x101761,x101762,f433(x101763,x101764,x101765,x101762,x101761),f434(x101763,x101764,x101765,x101762,x101761)),x101763))+~P1(f330(f64(x101761,x101762,f330(f330(f312(x101761),x101765),x101764)),x101763)) % 242.40/242.48 [10187]~P112(x101871)+P16(x101871,f330(f330(f157(x101872,x101871),x101873),f330(f139(x101872,f330(f330(f7(x101872,x101871,a925),f330(f330(f8(x101871,f937(x101871,a925),x101872),a327),x101873)),f330(x101874,x101875))),x101875))) % 242.40/242.48 [10226]~P1(f330(f330(f332(x102262),x102265),f330(f289(x102261,x102262,x102264),x102263)))+P1(f330(f330(f332(f936(x102261,x102262)),f330(f330(f256(x102261,x102262),f499(x102263,x102264,x102261,x102265,x102262)),x102265)),x102264)) % 242.40/242.48 [10227]~P1(f330(f330(f332(x102272),x102275),f330(f289(x102271,x102272,x102274),x102273)))+P1(f330(f330(f332(f936(x102271,x102272)),f330(f330(f256(x102271,x102272),f535(x102273,x102274,x102271,x102275,x102272)),x102275)),x102274)) % 242.40/242.48 [10247]~P1(f330(f330(f332(f936(x102471,x102471)),f330(f330(f256(x102471,x102471),x102475),x102474)),f330(f330(f186(f936(x102471,x102471),a925),f330(a115,x102473)),x102472)))+P1(f330(f330(f332(f936(x102471,x102471)),f330(f330(f256(x102471,x102471),f619(x102472,x102473,x102474,x102475,x102471)),x102474)),x102472)) % 242.40/242.48 [10250]~P1(f330(f330(f332(f936(x102501,x102501)),f330(f330(f256(x102501,x102501),x102505),x102504)),f330(f330(f186(f936(x102501,x102501),a925),f330(a115,x102503)),x102502)))+P1(f330(f330(f332(f936(x102501,x102501)),f330(f330(f256(x102501,x102501),f618(x102502,x102503,x102504,x102505,x102501)),x102504)),f330(f330(f186(f936(x102501,x102501),a925),x102503),x102502))) % 242.40/242.48 [10251]~P1(f330(f330(f332(f936(x102511,x102511)),f330(f330(f256(x102511,x102511),x102515),x102514)),f330(f330(f186(f936(x102511,x102511),a925),f330(a115,x102513)),x102512)))+P1(f330(f330(f332(f936(x102511,x102511)),f330(f330(f256(x102511,x102511),f620(x102512,x102513,x102514,x102515,x102511)),x102514)),f330(f330(f186(f936(x102511,x102511),a925),x102513),x102512))) % 242.40/242.48 [10252]~P1(f330(f330(f332(f936(f931(x102521),f931(x102521))),f330(f330(f256(f931(x102521),f931(x102521)),x102525),f330(f330(f154(x102521),x102524),x102523))),f161(x102521,x102522)))+P1(f330(f330(f332(f936(x102521,x102521)),f330(f330(f256(x102521,x102521),f674(x102522,x102523,x102524,x102525,x102521)),x102524)),x102522)) % 242.40/242.48 [7813]~E(x78133,f191(f937(x78132,a925)))+E(f330(f330(f113(f937(x78131,a925)),f330(f330(f41(x78132,f937(x78131,a925)),x78133),x78134)),x78135),x78135) % 242.40/242.48 [7814]~E(x78143,f191(f937(x78142,a925)))+E(f330(f330(f104(f937(x78141,a925)),f330(f330(f42(x78142,f937(x78141,a925)),x78143),x78144)),x78145),x78145) % 242.40/242.48 [8248]~E(x82483,f191(f937(x82482,a925)))+E(f330(f330(f23(f937(x82481,a925)),f330(f330(f42(x82482,f937(x82481,a925)),x82483),x82484)),x82485),f330(f330(f23(f937(x82481,a925)),f246(f937(x82481,a925))),x82485)) % 242.40/242.48 [8384]E(f330(f330(f162(x83841,f330(f330(f137(x83841),x83842),x83843)),x83844),x83845),f330(f330(f137(x83841),f330(f330(f162(x83841,x83842),x83844),x83845)),x83843))+~P1(f330(f330(f240(a930),x83844),f330(f192(f931(x83841)),x83842))) % 242.40/242.48 [8662]E(f330(f330(f167(x86621),f330(f330(f157(a930,x86621),x86622),f142(a930,f330(f305(a930,x86623),x86624)))),x86625),f330(x86622,f330(f330(f82(a930),x86623),x86625)))+~P1(f330(f330(f240(a930),x86625),f330(f330(f23(a930),x86624),x86623))) % 242.40/242.48 [8676]E(x86761,f2(a102))+E(f125(x86762,x86763,f330(x86764,f330(f330(f23(a102),x86761),f80(a102))),f330(f330(f7(x86762,a102,f932(f934(x86763))),x86765),x86761)),f330(f200(x86762,x86763,x86764,x86765),x86761)) % 242.40/242.48 [8701]~E(x87013,f191(f937(x87011,a925)))+E(f330(f330(f41(x87011,f937(x87012,a925)),x87013),f330(f330(f8(f937(x87012,a925),f937(x87012,a925),x87011),f330(f113(f937(x87012,a925)),x87014)),x87015)),f191(f937(x87012,a925))) % 242.40/242.48 [8702]~E(x87023,f191(f937(x87021,a925)))+E(f330(f330(f42(x87021,f937(x87022,a925)),x87023),f330(f330(f8(f937(x87022,a925),f937(x87022,a925),x87021),f330(f23(f937(x87022,a925)),x87024)),x87025)),f246(f937(x87022,a925))) % 242.40/242.48 [8703]~E(x87033,f191(f937(x87031,a925)))+E(f330(f330(f42(x87031,f937(x87032,a925)),x87033),f330(f330(f8(f937(x87032,a925),f937(x87032,a925),x87031),f330(f104(f937(x87032,a925)),x87034)),x87035)),f246(f937(x87032,a925))) % 242.40/242.48 [8708]~P146(x87082)+E(f330(f330(f6(x87081,x87082),f330(f330(f8(x87082,x87082,x87081),f330(f83(x87082),x87083)),x87084)),x87085),f330(f330(f83(x87082),x87083),f330(f330(f6(x87081,x87082),x87084),x87085))) % 242.40/242.48 [9004]E(x90041,f191(f937(x90042,a925)))+E(f330(f330(f41(x90042,f937(x90043,a925)),x90041),f330(f330(f8(f937(x90043,a925),f937(x90043,a925),x90042),f330(f113(f937(x90043,a925)),x90044)),x90045)),f330(f330(f113(f937(x90043,a925)),x90044),f330(f330(f41(x90042,f937(x90043,a925)),x90041),x90045))) % 242.40/242.48 [9005]E(x90051,f191(f937(x90052,a925)))+E(f330(f330(f42(x90052,f937(x90053,a925)),x90051),f330(f330(f8(f937(x90053,a925),f937(x90053,a925),x90052),f330(f23(f937(x90053,a925)),x90054)),x90055)),f330(f330(f23(f937(x90053,a925)),x90054),f330(f330(f41(x90052,f937(x90053,a925)),x90051),x90055))) % 242.40/242.48 [9006]E(x90061,f191(f937(x90062,a925)))+E(f330(f330(f42(x90062,f937(x90063,a925)),x90061),f330(f330(f8(f937(x90063,a925),f937(x90063,a925),x90062),f330(f104(f937(x90063,a925)),x90064)),x90065)),f330(f330(f104(f937(x90063,a925)),x90064),f330(f330(f42(x90062,f937(x90063,a925)),x90061),x90065))) % 242.40/242.48 [9212]~P1(f330(f330(f240(a930),f330(x92124,x92122)),f330(x92124,x92123)))+P1(f330(f330(f332(f936(x92121,x92121)),f330(f330(f256(x92121,x92121),x92122),x92123)),f156(x92121,f330(f330(f154(f937(x92121,a930)),x92124),x92125)))) % 242.40/242.48 [9484]~P28(x94842,x94841,x94843,f330(f330(f113(f937(x94842,a925)),x94844),x94845))+E(f330(f330(f104(f937(x94841,a925)),f330(f313(x94842,x94841,x94843),f330(f330(f23(f937(x94842,a925)),x94844),x94845))),f330(f313(x94842,x94841,x94843),f330(f330(f23(f937(x94842,a925)),x94845),x94844))),f191(f937(x94841,a925))) % 242.40/242.48 [9736]~P28(x97363,x97361,x97365,f246(f937(x97363,a925)))+E(f330(f74(x97361,x97362,x97363,f330(f74(x97363,x97362,x97361,x97364),f94(x97363,x97361,f246(f937(x97363,a925)),x97365))),x97365),x97364) % 242.40/242.48 [9767]~P1(f330(f330(f239(f937(x97673,a925)),f330(f289(x97671,x97673,x97674),x97672)),x97675))+P1(f330(f330(f239(f937(x97671,a925)),x97672),f330(f81(f937(x97671,a925)),f330(f289(x97673,x97671,f330(f290(x97671,x97673),x97674)),f330(f81(f937(x97673,a925)),x97675))))) % 242.40/242.48 [9792]~P28(x97921,x97922,x97923,f330(f330(f312(x97921),x97924),x97925))+~P1(f330(f330(f332(x97922),f330(x97923,x97924)),f330(f313(x97921,x97922,x97923),f330(f330(f23(f937(x97921,a925)),x97925),f330(f330(f312(x97921),x97924),f191(f937(x97921,a925))))))) % 242.40/242.48 [9845]P1(f330(f330(f239(f937(x98451,a925)),f330(f289(x98452,x98451,x98453),x98454)),x98455))+~P1(f330(f330(f239(f937(x98452,a925)),x98454),f330(f81(f937(x98452,a925)),f330(f289(x98451,x98452,f330(f290(x98452,x98451),x98453)),f330(f81(f937(x98451,a925)),x98455))))) % 242.40/242.48 [9918]~P91(x99181)+P1(f330(f330(f239(x99181),f330(f77(x99181),f330(f330(f23(x99181),f330(f330(f82(x99181),x99182),x99183)),f330(f330(f82(x99181),x99184),x99185)))),f330(f330(f82(x99181),f330(f77(x99181),f330(f330(f23(x99181),x99182),x99184))),f330(f77(x99181),f330(f330(f23(x99181),x99183),x99185))))) % 242.40/242.48 [10026]P1(f330(f330(f332(x100261),f457(x100262,x100263,x100264,x100261,x100265)),x100264))+P1(f330(f330(f239(f937(x100265,a925)),f330(f330(f41(x100261,f937(x100265,a925)),x100264),x100263)),x100262)) % 242.40/242.48 [10205]~P1(f330(f330(f239(f937(x102051,a925)),f330(x102054,f457(x102055,x102054,x102053,x102052,x102051))),x102055))+P1(f330(f330(f239(f937(x102051,a925)),f330(f330(f41(x102052,f937(x102051,a925)),x102053),x102054)),x102055)) % 242.40/242.48 [8818]E(f330(f330(f137(x88181),x88182),f330(f330(f162(x88181,x88183),f330(f330(f23(a930),x88184),f330(f192(f931(x88181)),x88182))),x88185)),f330(f330(f162(x88181,f330(f330(f137(x88181),x88182),x88183)),x88184),x88185))+P1(f330(f330(f240(a930),x88184),f330(f192(f931(x88181)),x88182))) % 242.40/242.48 [8846]~P145(x88461)+E(f330(f330(f82(x88461),f330(f330(f83(x88461),x88462),x88463)),f330(f330(f82(x88461),f330(f330(f83(x88461),x88464),x88463)),x88465)),f330(f330(f82(x88461),f330(f330(f83(x88461),f330(f330(f82(x88461),x88462),x88464)),x88463)),x88465)) % 242.40/242.48 [9439]~P146(x94391)+E(f330(f168(x94391),f330(f330(f157(x94392,x94391),f330(f330(f8(x94391,x94391,x94392),f330(f83(x94391),x94393)),x94394)),x94395)),f330(f330(f83(x94391),x94393),f330(f168(x94391),f330(f330(f157(x94392,x94391),x94394),x94395)))) % 242.40/242.48 [9610]E(f330(f192(f931(x96101)),f330(f330(f178(x96101),f330(f330(f237(a930),f330(f192(f931(x96101)),x96102)),f330(f192(f931(x96103)),x96104))),x96102)),f330(f192(f931(x96103)),f330(f330(f178(x96103),f330(f330(f237(a930),f330(f192(f931(x96101)),x96102)),f330(f192(f931(x96103)),x96104))),x96104)))+P1(f330(x96105,f330(f330(f184(x96101,x96103),x96102),x96104))) % 242.40/242.48 [9855]~P146(x98552)+E(f330(f330(f6(x98551,x98552),f330(f330(f7(x98551,x98552,x98552),f330(f330(f8(x98552,f937(x98552,x98552),x98551),f83(x98552)),x98553)),x98554)),x98555),f330(f330(f83(x98552),f330(f330(f6(x98551,x98552),x98553),x98555)),x98554)) % 242.40/242.48 [9856]~P71(x98562)+E(f330(f330(f6(x98561,x98562),f330(f330(f7(x98561,x98562,x98562),f330(f330(f8(x98562,f937(x98562,x98562),x98561),f293(x98562)),x98563)),x98564)),x98565),f330(f330(f293(x98562),f330(f330(f6(x98561,x98562),x98563),x98565)),x98564)) % 242.40/242.48 [9863]~P6(x98632)+E(f330(f330(f6(x98631,x98632),f330(f330(f18(x98631,x98632,x98632),f330(f330(f8(x98632,f937(x98632,x98632),x98631),f23(x98632)),x98633)),x98634)),x98635),f330(f330(f23(x98632),f330(f330(f6(x98631,x98632),x98633),x98635)),f330(f330(f6(x98631,x98632),x98634),x98635))) % 242.40/242.48 [9864]~P74(x98642)+E(f330(f330(f6(x98641,x98642),f330(f330(f18(x98641,x98642,x98642),f330(f330(f8(x98642,f937(x98642,x98642),x98641),f82(x98642)),x98643)),x98644)),x98645),f330(f330(f82(x98642),f330(f330(f6(x98641,x98642),x98643),x98645)),f330(f330(f6(x98641,x98642),x98644),x98645))) % 242.40/242.48 [9865]~P80(x98652)+E(f330(f330(f9(x98651,x98652),f330(f330(f18(x98651,x98652,x98652),f330(f330(f8(x98652,f937(x98652,x98652),x98651),f83(x98652)),x98653)),x98654)),x98655),f330(f330(f83(x98652),f330(f330(f9(x98651,x98652),x98653),x98655)),f330(f330(f9(x98651,x98652),x98654),x98655))) % 242.40/242.48 [9903]~E(x99033,f191(f937(x99031,a925)))+E(f330(f330(f41(x99031,f937(x99032,a925)),x99033),f330(f330(f7(x99031,f937(x99032,a925),f937(x99032,a925)),f330(f330(f8(f937(x99032,a925),f937(f937(x99032,a925),f937(x99032,a925)),x99031),f113(f937(x99032,a925))),x99034)),x99035)),f191(f937(x99032,a925))) % 242.40/242.48 [9904]~E(x99043,f191(f937(x99041,a925)))+E(f330(f330(f42(x99041,f937(x99042,a925)),x99043),f330(f330(f7(x99041,f937(x99042,a925),f937(x99042,a925)),f330(f330(f8(f937(x99042,a925),f937(f937(x99042,a925),f937(x99042,a925)),x99041),f23(f937(x99042,a925))),x99044)),x99045)),f246(f937(x99042,a925))) % 242.40/242.48 [9905]~E(x99053,f191(f937(x99051,a925)))+E(f330(f330(f42(x99051,f937(x99052,a925)),x99053),f330(f330(f7(x99051,f937(x99052,a925),f937(x99052,a925)),f330(f330(f8(f937(x99052,a925),f937(f937(x99052,a925),f937(x99052,a925)),x99051),f104(f937(x99052,a925))),x99054)),x99055)),f246(f937(x99052,a925))) % 242.40/242.48 [9926]E(x99261,f191(f937(x99262,a925)))+E(f330(f330(f41(x99262,f937(x99263,a925)),x99261),f330(f330(f7(x99262,f937(x99263,a925),f937(x99263,a925)),f330(f330(f8(f937(x99263,a925),f937(f937(x99263,a925),f937(x99263,a925)),x99262),f113(f937(x99263,a925))),x99264)),x99265)),f330(f330(f113(f937(x99263,a925)),f330(f330(f41(x99262,f937(x99263,a925)),x99261),x99264)),x99265)) % 242.40/242.48 [9927]E(x99271,f191(f937(x99272,a925)))+E(f330(f330(f42(x99272,f937(x99273,a925)),x99271),f330(f330(f7(x99272,f937(x99273,a925),f937(x99273,a925)),f330(f330(f8(f937(x99273,a925),f937(f937(x99273,a925),f937(x99273,a925)),x99272),f23(f937(x99273,a925))),x99274)),x99275)),f330(f330(f23(f937(x99273,a925)),f330(f330(f42(x99272,f937(x99273,a925)),x99271),x99274)),x99275)) % 242.40/242.48 [9928]E(x99281,f191(f937(x99282,a925)))+E(f330(f330(f42(x99282,f937(x99283,a925)),x99281),f330(f330(f7(x99282,f937(x99283,a925),f937(x99283,a925)),f330(f330(f8(f937(x99283,a925),f937(f937(x99283,a925),f937(x99283,a925)),x99282),f104(f937(x99283,a925))),x99284)),x99285)),f330(f330(f104(f937(x99283,a925)),f330(f330(f42(x99282,f937(x99283,a925)),x99281),x99284)),x99285)) % 242.40/242.48 [9489]~P1(f330(f330(f239(a930),x94891),x94894))+E(f330(f330(f23(a930),f330(f330(f82(a930),f330(f330(f83(a930),x94891),x94892)),x94893)),f330(f330(f82(a930),f330(f330(f83(a930),x94894),x94892)),x94895)),f330(f330(f23(a930),x94893),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x94894),x94891)),x94892)),x94895))) % 242.40/242.48 [10075]~P146(x100751)+E(f330(f168(x100751),f330(f330(f157(x100752,x100751),f330(f330(f7(x100752,x100751,x100751),f330(f330(f8(x100751,f937(x100751,x100751),x100752),f83(x100751)),x100753)),x100754)),x100755)),f330(f330(f83(x100751),f330(f168(x100751),f330(f330(f157(x100752,x100751),x100753),x100755))),x100754)) % 242.40/242.48 [10081]~P6(x100811)+E(f330(f168(x100811),f330(f330(f157(x100812,x100811),f330(f330(f18(x100812,x100811,x100811),f330(f330(f8(x100811,f937(x100811,x100811),x100812),f23(x100811)),x100813)),x100814)),x100815)),f330(f330(f23(x100811),f330(f168(x100811),f330(f330(f157(x100812,x100811),x100813),x100815))),f330(f168(x100811),f330(f330(f157(x100812,x100811),x100814),x100815)))) % 242.40/242.48 [10082]~P74(x100821)+E(f330(f168(x100821),f330(f330(f157(x100822,x100821),f330(f330(f18(x100822,x100821,x100821),f330(f330(f8(x100821,f937(x100821,x100821),x100822),f82(x100821)),x100823)),x100824)),x100825)),f330(f330(f82(x100821),f330(f168(x100821),f330(f330(f157(x100822,x100821),x100823),x100825))),f330(f168(x100821),f330(f330(f157(x100822,x100821),x100824),x100825)))) % 242.40/242.48 [10218]P1(f330(x102181,f330(f330(f184(x102182,x102183),x102184),x102185)))+~P1(f330(x102181,f330(f330(f184(x102182,x102183),f330(f330(f178(x102182),f330(f330(f237(a930),f330(f192(f931(x102182)),x102184)),f330(f192(f931(x102183)),x102185))),x102184)),f330(f330(f178(x102183),f330(f330(f237(a930),f330(f192(f931(x102182)),x102184)),f330(f192(f931(x102183)),x102185))),x102185)))) % 242.40/242.48 [10474]~P1(f330(f330(f332(f936(x104742,x104741)),f330(f330(f256(x104742,x104741),x104744),x104745)),f330(f290(x104741,x104742),x104743)))+P1(f330(f330(f247(x104741,x104742,f330(f330(f7(x104741,f937(f936(x104741,x104742),a925),f937(x104742,a925)),f330(f330(f8(f937(x104742,f937(f937(f936(x104741,x104742),a925),a925)),f937(f937(f936(x104741,x104742),a925),f937(x104742,a925)),x104741),f7(x104742,f937(f936(x104741,x104742),a925),a925)),f330(f330(f8(f937(x104742,f936(x104741,x104742)),f937(x104742,f937(f937(f936(x104741,x104742),a925),a925)),x104741),f330(f8(f936(x104741,x104742),f937(f937(f936(x104741,x104742),a925),a925),x104742),f332(f936(x104741,x104742)))),f256(x104741,x104742)))),x104743)),x104744),x104745)) % 242.40/242.48 [10484]P1(f330(f330(f332(f936(x104841,x104842)),f330(f330(f256(x104841,x104842),x104843),x104844)),f330(f290(x104842,x104841),x104845)))+~P1(f330(f330(f247(x104842,x104841,f330(f330(f7(x104842,f937(f936(x104842,x104841),a925),f937(x104841,a925)),f330(f330(f8(f937(x104841,f937(f937(f936(x104842,x104841),a925),a925)),f937(f937(f936(x104842,x104841),a925),f937(x104841,a925)),x104842),f7(x104841,f937(f936(x104842,x104841),a925),a925)),f330(f330(f8(f937(x104841,f936(x104842,x104841)),f937(x104841,f937(f937(f936(x104842,x104841),a925),a925)),x104842),f330(f8(f936(x104842,x104841),f937(f937(f936(x104842,x104841),a925),a925),x104841),f332(f936(x104842,x104841)))),f256(x104842,x104841)))),x104845)),x104843),x104844)) % 242.40/242.48 [9735]~P1(f330(f330(f239(a930),x97354),x97351))+E(f330(f330(f23(a930),f330(f330(f82(a930),f330(f330(f83(a930),x97351),x97352)),x97353)),f330(f330(f82(a930),f330(f330(f83(a930),x97354),x97352)),x97355)),f330(f330(f23(a930),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x97351),x97354)),x97352)),x97353)),x97355)) % 242.40/242.48 [10493]P27(x104931,x104932,f330(f313(a928,f929(x104931),f330(f330(f18(a928,f937(x104931,f937(a926,a925)),f929(x104931)),f330(f330(f18(a928,a927,f937(f937(x104931,f937(a926,a925)),f929(x104931))),f330(f330(f8(f937(x104931,f937(a926,a925)),f937(a927,f937(f937(x104931,f937(a926,a925)),f929(x104931))),a928),f93(x104931)),x104933)),a26)),x104934)),x104935))+~P27(x104931,f330(f330(f113(f937(f929(x104931),a925)),x104932),f330(f313(a928,f929(x104931),f330(f330(f18(a928,f937(x104931,f937(a926,a925)),f929(x104931)),f330(f330(f18(a928,a927,f937(f937(x104931,f937(a926,a925)),f929(x104931))),f330(f330(f8(f937(x104931,f937(a926,a925)),f937(a927,f937(f937(x104931,f937(a926,a925)),f929(x104931))),a928),f93(x104931)),x104933)),a26)),x104934)),x104935)),f330(f313(a928,f929(x104931),f330(f330(f18(a928,f937(x104931,f937(a926,a925)),f929(x104931)),f330(f330(f18(a928,a927,f937(f937(x104931,f937(a926,a925)),f929(x104931))),f330(f330(f8(f937(x104931,f937(a926,a925)),f937(a927,f937(f937(x104931,f937(a926,a925)),f929(x104931))),a928),f93(x104931)),x104933)),f330(f330(f8(f934(a927),a927,a928),f236(a927)),a27))),x104934)),x104935)) % 242.40/242.48 [5491]E(x54911,x54912)+~E(f29(x54913,x54914,x54911),f29(x54915,x54916,x54912)) % 242.40/242.48 [5492]E(x54921,x54922)+~E(f29(x54923,x54921,x54924),f29(x54925,x54922,x54926)) % 242.40/242.48 [5493]E(x54931,x54932)+~E(f29(x54931,x54933,x54934),f29(x54932,x54935,x54936)) % 242.40/242.48 [5494]E(x54941,x54942)+~E(f28(x54943,x54944,x54941),f28(x54945,x54946,x54942)) % 242.40/242.48 [5495]E(x54951,x54952)+~E(f28(x54953,x54951,x54954),f28(x54955,x54952,x54956)) % 242.40/242.48 [5496]E(x54961,x54962)+~E(f28(x54961,x54963,x54964),f28(x54962,x54965,x54966)) % 242.40/242.48 [7500]E(x75001,x75002)+~E(f224(x75003,x75004,x75005,x75001),f224(x75003,x75004,x75006,x75002)) % 242.40/242.48 [7501]E(x75011,x75012)+~E(f224(x75013,x75014,x75011,x75015),f224(x75013,x75014,x75012,x75016)) % 242.40/242.48 [8644]~P22(x86445,x86441,x86442,x86446)+E(f330(f74(x86441,x86441,x86441,f330(x86442,x86443)),f330(x86442,x86444)),f330(f74(x86441,x86441,x86441,f330(x86442,x86444)),f330(x86442,x86443))) % 242.40/242.48 [8890]~P63(x88904,x88905,x88902,x88901,x88906)+E(f330(x88901,f330(x88902,x88903)),x88903) % 242.40/242.48 [9057]P28(x90571,x90572,x90573,x90574)+~P28(x90571,x90575,f330(f74(x90572,x90575,x90571,x90576),x90573),x90574) % 242.40/242.48 [9130]~E(x91306,x91304)+E(f330(f76(x91301,x91302,x91303,x91304,x91305),x91306),x91305) % 242.40/242.48 [9136]E(x91361,x91362)+E(f330(f76(x91363,x91364,x91365,x91362,x91366),x91361),f330(x91365,x91361)) % 242.40/242.48 [9148]~P28(x91484,x91482,f330(f74(x91481,x91482,x91484,x91483),x91485),x91486)+P28(x91481,x91482,x91483,f330(f313(x91484,x91481,x91485),x91486)) % 242.40/242.48 [9866]P1(f330(f63(x98661),x98662))+~P1(f330(f68(x98661,x98663,x98664,x98665,x98662),x98666)) % 242.40/242.48 [9875]~P1(f330(f330(f332(x98754),x98753),f300(x98754,x98751,x98755,x98752,x98756)))+P1(f330(f330(x98751,x98752),x98753)) % 242.40/242.48 [9876]~P1(f330(f330(f332(x98764),x98763),f303(x98764,x98765,x98761,x98762,x98766)))+P1(f330(f330(x98761,x98762),x98763)) % 242.40/242.48 [9877]~P1(f330(f330(f332(x98774),x98772),f300(x98774,x98775,x98771,x98776,x98773)))+P1(f330(f330(x98771,x98772),x98773)) % 242.40/242.48 [9878]~P1(f330(f330(f332(x98784),x98782),f303(x98784,x98781,x98785,x98786,x98783)))+P1(f330(f330(x98781,x98782),x98783)) % 242.40/242.48 [10367]P15(x103671,x103672,x103673,x103674,x103675,x103676)+~E(f330(f330(x103676,f860(x103673,x103676,x103675,x103672,x103674,x103671)),f868(x103673,x103676,x103675,x103672,x103674,x103671)),f330(f330(x103676,f861(x103673,x103676,x103675,x103672,x103674,x103671)),f869(x103673,x103676,x103675,x103672,x103674,x103671))) % 242.40/242.48 [6000]E(x60001,x60002)+~E(f330(f330(f256(x60003,x60004),x60005),x60001),f330(f330(f256(x60003,x60004),x60006),x60002)) % 242.40/242.48 [6002]E(x60021,x60022)+~E(f330(f330(f256(x60023,x60024),x60021),x60025),f330(f330(f256(x60023,x60024),x60022),x60026)) % 242.40/242.48 [6137]~P19(x61375,x61376,x61371)+E(f330(f330(x61371,x61372),f330(f330(x61371,x61373),x61374)),f330(f330(x61371,x61373),f330(f330(x61371,x61372),x61374))) % 242.40/242.48 [7568]~P37(x75684,x75681,f330(f330(f154(x75684),x75682),x75685),f330(f330(f154(x75684),x75683),x75686))+P1(f330(f330(x75681,x75682),x75683)) % 242.40/242.48 [7928]P37(x79281,x79282,x79283,x79284)+~P37(x79281,x79282,f330(f330(f154(x79281),x79285),x79283),f330(f330(f154(x79281),x79286),x79284)) % 242.40/242.48 [8994]~P63(x89945,x89941,x89942,x89946,x89944)+P1(f330(f330(f332(x89941),f330(x89942,x89943)),x89944)) % 242.40/242.48 [9177]E(f330(f78(x91771,x91772,x91773,x91774,x91775),x91776),f330(x91773,x91776))+P1(f330(f330(f332(x91771),x91776),x91775)) % 242.40/242.48 [9201]~E(x92013,f330(f330(f154(x92011),x92015),x92016))+P1(f330(f330(f332(f936(f931(x92011),f931(x92011))),f330(f330(f256(f931(x92011),f931(x92011)),x92012),f330(f330(f137(x92011),x92012),x92013))),f150(x92011,x92014))) % 242.40/242.48 [9206]E(f330(f78(x92061,x92062,x92063,x92064,x92065),x92066),f330(x92064,x92066))+~P1(f330(f330(f332(x92061),x92066),x92065)) % 242.40/242.48 [9445]~P39(x94451,x94452,x94453,x94455,x94456)+P39(x94451,x94452,x94453,f330(f330(f178(x94451),x94454),x94455),f330(f330(f178(x94452),x94454),x94456)) % 242.40/242.48 [9446]~P39(x94461,x94462,x94463,x94465,x94466)+P39(x94461,x94462,x94463,f330(f330(f141(x94461),x94464),x94465),f330(f330(f141(x94462),x94464),x94466)) % 242.40/242.48 [9702]E(f330(f313(x97021,x97022,f76(x97021,x97022,x97023,x97024,x97025)),x97026),f330(f313(x97021,x97022,x97023),x97026))+P1(f330(f330(f332(x97021),x97024),x97026)) % 242.40/242.48 [9705]E(f330(f330(f157(x97051,x97052),f76(x97051,x97052,x97053,x97054,x97055)),x97056),f330(f330(f157(x97051,x97052),x97053),x97056))+P1(f330(f330(f332(x97051),x97054),f330(f175(x97051),x97056))) % 242.40/242.48 [9938]~P26(x99384,x99382,x99385,x99383,x99386,x99381)+E(f330(x99381,f191(f937(x99382,a925))),x99383) % 242.40/242.48 [10170]~E(f330(x101704,f330(f255(x101701,x101703),x101705)),f330(x101706,f330(f255(x101701,x101703),x101705)))+E(f330(f262(x101701,x101702,x101703,x101703,x101704,f33(x101703)),x101705),f330(f262(x101701,x101702,x101703,x101703,x101706,f33(x101703)),x101705)) % 242.40/242.48 [10171]~E(f330(x101714,f330(f260(x101711,x101712),x101715)),f330(x101716,f330(f260(x101711,x101712),x101715)))+E(f330(f262(x101711,x101711,x101712,x101713,f33(x101711),x101714),x101715),f330(f262(x101711,x101711,x101712,x101713,f33(x101711),x101716),x101715)) % 242.40/242.48 [10214]~E(f330(f262(x102142,x102146,x102143,x102143,x102141,f33(x102143)),x102144),f330(f262(x102142,x102146,x102143,x102143,x102145,f33(x102143)),x102144))+E(f330(x102141,f330(f255(x102142,x102143),x102144)),f330(x102145,f330(f255(x102142,x102143),x102144))) % 242.40/242.48 [10215]~E(f330(f262(x102152,x102152,x102153,x102156,f33(x102152),x102151),x102154),f330(f262(x102152,x102152,x102153,x102156,f33(x102152),x102155),x102154))+E(f330(x102151,f330(f260(x102152,x102153),x102154)),f330(x102155,f330(f260(x102152,x102153),x102154))) % 242.40/242.48 [9097]P1(f330(f330(f332(x90971),x90972),x90973))+~P1(f330(f330(f332(f936(x90971,x90974)),f330(f330(f256(x90971,x90974),x90972),x90975)),f330(f330(f258(x90971,x90974),x90973),x90976))) % 242.40/242.48 [9113]P1(f330(f330(f332(x91131),x91132),f330(x91133,x91134)))+~P1(f330(f330(f332(f936(x91135,x91131)),f330(f330(f256(x91135,x91131),x91134),x91132)),f330(f330(f258(x91135,x91131),x91136),x91133))) % 242.40/242.48 [9560]P1(f330(f330(f332(f936(x95601,x95601)),f330(f330(f256(x95601,x95601),f330(x95602,x95603)),f330(x95602,x95604))),x95605))+~P1(f330(f330(f332(f936(x95606,x95606)),f330(f330(f256(x95606,x95606),x95603),x95604)),f330(f330(f291(x95601,x95606),x95605),x95602))) % 242.40/242.48 [9580]~P1(f330(f330(f332(f936(x95804,x95804)),f330(f330(f256(x95804,x95804),f330(x95806,x95802)),f330(x95806,x95803))),x95805))+P1(f330(f330(f332(f936(x95801,x95801)),f330(f330(f256(x95801,x95801),x95802),x95803)),f330(f330(f291(x95804,x95801),x95805),x95806))) % 242.40/242.48 [10217]E(f330(f330(f256(x102171,x102172),f664(x102173,x102174,x102175,x102176,x102172,x102171)),f665(x102173,x102174,x102175,x102176,x102172,x102171)),x102176)+~P1(f330(f330(f332(f936(x102171,x102172)),x102176),f330(f330(f292(x102171,x102175,x102172),x102174),x102173))) % 242.40/242.48 [10432]~P1(f330(f330(f332(f936(x104321,x104326)),x104325),f330(f330(f292(x104321,x104322,x104326),x104324),x104323)))+P1(f330(f330(f332(f936(x104321,x104322)),f330(f330(f256(x104321,x104322),f664(x104323,x104324,x104322,x104325,x104326,x104321)),f666(x104323,x104324,x104322,x104325,x104326,x104321))),x104324)) % 242.40/242.48 [10433]~P1(f330(f330(f332(f936(x104336,x104332)),x104335),f330(f330(f292(x104336,x104331,x104332),x104334),x104333)))+P1(f330(f330(f332(f936(x104331,x104332)),f330(f330(f256(x104331,x104332),f666(x104333,x104334,x104331,x104335,x104332,x104336)),f665(x104333,x104334,x104331,x104335,x104332,x104336))),x104333)) % 242.40/242.48 [10434]P15(x104341,x104342,x104343,x104344,x104345,x104346)+P1(f330(f330(f332(f936(x104342,x104342)),f330(f330(f256(x104342,x104342),f869(x104343,x104346,x104345,x104342,x104344,x104341)),f868(x104343,x104346,x104345,x104342,x104344,x104341))),x104345)) % 242.40/242.48 [10435]P15(x104351,x104352,x104353,x104354,x104355,x104356)+P1(f330(f330(f332(f936(x104351,x104351)),f330(f330(f256(x104351,x104351),f861(x104353,x104356,x104355,x104352,x104354,x104351)),f860(x104353,x104356,x104355,x104352,x104354,x104351))),x104354)) % 242.40/242.48 [7999]~P8(x79992)+E(f330(f330(f41(x79991,x79992),x79993),f330(f330(f7(x79991,x79994,x79992),x79995),x79996)),f330(f330(f330(f41(x79991,f937(x79994,x79992)),x79993),x79995),x79996)) % 242.40/242.48 [8000]~P8(x80002)+E(f330(f330(f42(x80001,x80002),x80003),f330(f330(f7(x80001,x80004,x80002),x80005),x80006)),f330(f330(f330(f42(x80001,f937(x80004,x80002)),x80003),x80005),x80006)) % 242.40/242.48 [8800]E(f330(f330(f41(x88001,f937(x88002,a925)),x88003),f330(f330(f8(f937(x88002,a925),f937(x88002,a925),x88001),f330(f312(x88002),x88004)),x88005)),f330(f330(f312(x88002),x88004),f330(f330(f41(x88001,f937(x88002,a925)),x88003),x88005)))+~P1(f330(f330(f332(x88001),x88006),x88003)) % 242.40/242.48 [9256]~P8(x92562)+E(f330(f330(f41(x92561,x92562),x92563),f330(f330(f8(f937(x92564,x92562),x92562,x92561),f330(f41(x92564,x92562),x92565)),f330(f7(x92564,x92561,x92562),x92566))),f330(f330(f41(x92564,x92562),x92565),f330(f330(f8(f937(x92561,x92562),x92562,x92564),f330(f41(x92561,x92562),x92563)),x92566))) % 242.40/242.48 [9257]~P8(x92572)+E(f330(f330(f42(x92571,x92572),x92573),f330(f330(f8(f937(x92574,x92572),x92572,x92571),f330(f42(x92574,x92572),x92575)),f330(f7(x92574,x92571,x92572),x92576))),f330(f330(f42(x92574,x92572),x92575),f330(f330(f8(f937(x92571,x92572),x92572,x92574),f330(f42(x92571,x92572),x92573)),x92576))) % 242.40/242.48 [9471]P1(f330(f330(f332(x94711),x94712),f330(f175(x94711),x94713)))+~P1(f330(f330(f332(f936(x94714,x94711)),f330(f330(f256(x94714,x94711),x94715),x94712)),f330(f175(f936(x94714,x94711)),f330(f330(f184(x94714,x94711),x94716),x94713)))) % 242.40/242.48 [9472]P1(f330(f330(f332(x94721),x94722),f330(f175(x94721),x94723)))+~P1(f330(f330(f332(f936(x94721,x94724)),f330(f330(f256(x94721,x94724),x94722),x94725)),f330(f175(f936(x94721,x94724)),f330(f330(f184(x94721,x94724),x94723),x94726)))) % 242.40/242.48 [9576]P1(f330(f330(f239(f937(x95761,a925)),f330(f289(x95762,x95761,x95763),x95764)),x95765))+~P1(f330(f330(f239(f937(f936(x95762,x95761),a925)),x95763),f330(f330(f258(x95762,x95761),x95766),f330(f16(f937(x95761,a925),x95762),x95765)))) % 242.40/242.48 [9581]~P29(x95814,x95812,x95815,f246(f937(x95814,a925)),f246(f937(x95812,a925)))+E(f330(f330(f42(x95811,f937(x95812,a925)),x95813),f330(f330(f8(f937(x95814,a925),f937(x95812,a925),x95811),f313(x95814,x95812,x95815)),x95816)),f330(f313(x95814,x95812,x95815),f330(f330(f42(x95811,f937(x95814,a925)),x95813),x95816))) % 242.40/242.48 [9770]P1(f330(f330(f332(f936(f931(x97701),f931(x97701))),f330(f330(f256(f931(x97701),f931(x97701)),f330(f330(f154(x97701),x97702),x97703)),f330(f330(f154(x97701),x97704),x97705))),f150(x97701,x97706)))+~P1(f330(f330(f332(f936(x97701,x97701)),f330(f330(f256(x97701,x97701),x97702),x97704)),x97706)) % 242.40/242.48 [10213]E(f330(f330(f256(x102131,x102132),f576(x102133,x102134,x102135,x102132,x102131,x102136)),f577(x102133,x102134,x102135,x102132,x102131,x102136)),x102136)+P1(f330(f330(f332(x102135),x102134),f330(f330(f261(x102131,x102132,f937(x102135,a925)),x102133),x102136))) % 242.40/242.48 [10219]E(f330(f330(f256(x102191,x102192),f578(x102193,x102194,x102192,x102191,x102195,x102196)),f579(x102193,x102194,x102192,x102191,x102195,x102196)),x102193)+~P1(f330(f330(f332(x102196),x102195),f330(f330(f261(x102191,x102192,f937(x102196,a925)),x102194),x102193))) % 242.40/242.48 [10380]P1(f330(f330(f332(x103801),x103802),f330(f330(x103803,f578(x103804,x103803,x103805,x103806,x103802,x103801)),f579(x103804,x103803,x103805,x103806,x103802,x103801))))+~P1(f330(f330(f332(x103801),x103802),f330(f330(f261(x103806,x103805,f937(x103801,a925)),x103803),x103804))) % 242.40/242.48 [10405]~P1(f330(f330(f332(x104051),x104052),f330(f330(x104055,f576(x104055,x104052,x104051,x104054,x104053,x104056)),f577(x104055,x104052,x104051,x104054,x104053,x104056))))+P1(f330(f330(f332(x104051),x104052),f330(f330(f261(x104053,x104054,f937(x104051,a925)),x104055),x104056))) % 242.40/242.48 [8693]E(x86931,x86932)+E(f330(f330(f162(x86933,f330(f330(f162(x86933,x86934),x86931),x86935)),x86932),x86936),f330(f330(f162(x86933,f330(f330(f162(x86933,x86934),x86932),x86936)),x86931),x86935)) % 242.40/242.48 [9830]~P1(f330(f330(f332(x98303),x98306),x98305))+E(f330(f330(f312(x98301),x98302),f330(f313(x98303,x98301,x98304),f330(f330(f23(f937(x98303,a925)),x98305),f330(f330(f312(x98303),x98306),f191(f937(x98303,a925)))))),f330(f313(x98303,x98301,f76(x98303,x98301,x98304,x98306,x98302)),x98305)) % 242.40/242.48 [9337]~P1(f330(f330(x93374,x93375),x93376))+P1(f330(f330(f330(f330(f113(f937(x93371,f937(x93372,a925))),x93373),x93374),x93375),x93376)) % 242.40/242.48 [9339]~P1(f330(f330(x93393,x93395),x93396))+P1(f330(f330(f330(f330(f113(f937(x93391,f937(x93392,a925))),x93393),x93394),x93395),x93396)) % 242.40/242.48 [9631]P1(f330(f330(x96311,x96312),x96313))+~P1(f330(f330(f330(f330(f104(f937(x96314,f937(x96315,a925))),x96316),x96311),x96312),x96313)) % 242.40/242.48 [9632]P1(f330(f330(x96321,x96322),x96323))+~P1(f330(f330(f330(f330(f104(f937(x96324,f937(x96325,a925))),x96321),x96326),x96322),x96323)) % 242.40/242.48 [10063]~P74(x100632)+E(f330(f330(f6(x100631,x100632),f330(f330(f7(x100631,f937(x100633,a925),x100632),f330(f330(f8(f937(x100633,x100632),f937(f937(x100633,a925),x100632),x100631),f6(x100633,x100632)),x100634)),x100635)),x100636),f330(f330(f6(f936(x100631,x100633),x100632),f330(f261(x100631,x100633,x100632),x100634)),f330(f330(f258(x100631,x100633),x100636),f330(f16(f937(x100633,a925),x100631),x100635)))) % 242.40/242.48 [10064]~P80(x100642)+E(f330(f330(f9(x100641,x100642),f330(f330(f7(x100641,f937(x100643,a925),x100642),f330(f330(f8(f937(x100643,x100642),f937(f937(x100643,a925),x100642),x100641),f9(x100643,x100642)),x100644)),x100645)),x100646),f330(f330(f9(f936(x100641,x100643),x100642),f330(f261(x100641,x100643,x100642),x100644)),f330(f330(f258(x100641,x100643),x100646),f330(f16(f937(x100643,a925),x100641),x100645)))) % 242.40/242.48 [10196]~P74(x101962)+E(f330(f330(f6(x101961,x101962),f330(f330(f7(x101961,f937(x101963,a925),x101962),f330(f330(f8(f937(x101963,x101962),f937(f937(x101963,a925),x101962),x101961),f6(x101963,x101962)),f330(f7(x101963,x101961,x101962),x101964))),x101965)),x101966),f330(f330(f6(x101963,x101962),f330(f330(f7(x101963,f937(x101961,a925),x101962),f330(f330(f8(f937(x101961,x101962),f937(f937(x101961,a925),x101962),x101963),f6(x101961,x101962)),x101964)),x101966)),x101965)) % 242.40/242.48 [10498]~P1(f330(f330(f332(f936(x104981,x104982)),f330(f330(f256(x104981,x104982),x104985),x104986)),f330(f330(f113(f937(f936(x104981,x104982),a925)),x104983),x104984)))+P1(f330(f330(f330(f330(f113(f937(x104981,f937(x104982,a925))),f330(f330(f7(x104981,f937(f936(x104981,x104982),a925),f937(x104982,a925)),f330(f330(f8(f937(x104982,f937(f937(f936(x104981,x104982),a925),a925)),f937(f937(f936(x104981,x104982),a925),f937(x104982,a925)),x104981),f7(x104982,f937(f936(x104981,x104982),a925),a925)),f330(f330(f8(f937(x104982,f936(x104981,x104982)),f937(x104982,f937(f937(f936(x104981,x104982),a925),a925)),x104981),f330(f8(f936(x104981,x104982),f937(f937(f936(x104981,x104982),a925),a925),x104982),f332(f936(x104981,x104982)))),f256(x104981,x104982)))),x104983)),f330(f330(f7(x104981,f937(f936(x104981,x104982),a925),f937(x104982,a925)),f330(f330(f8(f937(x104982,f937(f937(f936(x104981,x104982),a925),a925)),f937(f937(f936(x104981,x104982),a925),f937(x104982,a925)),x104981),f7(x104982,f937(f936(x104981,x104982),a925),a925)),f330(f330(f8(f937(x104982,f936(x104981,x104982)),f937(x104982,f937(f937(f936(x104981,x104982),a925),a925)),x104981),f330(f8(f936(x104981,x104982),f937(f937(f936(x104981,x104982),a925),a925),x104982),f332(f936(x104981,x104982)))),f256(x104981,x104982)))),x104984)),x104985),x104986)) % 242.40/242.48 [10499]~P1(f330(f330(f332(f936(x104991,x104992)),f330(f330(f256(x104991,x104992),x104995),x104996)),f330(f330(f104(f937(f936(x104991,x104992),a925)),x104993),x104994)))+P1(f330(f330(f330(f330(f104(f937(x104991,f937(x104992,a925))),f330(f330(f7(x104991,f937(f936(x104991,x104992),a925),f937(x104992,a925)),f330(f330(f8(f937(x104992,f937(f937(f936(x104991,x104992),a925),a925)),f937(f937(f936(x104991,x104992),a925),f937(x104992,a925)),x104991),f7(x104992,f937(f936(x104991,x104992),a925),a925)),f330(f330(f8(f937(x104992,f936(x104991,x104992)),f937(x104992,f937(f937(f936(x104991,x104992),a925),a925)),x104991),f330(f8(f936(x104991,x104992),f937(f937(f936(x104991,x104992),a925),a925),x104992),f332(f936(x104991,x104992)))),f256(x104991,x104992)))),x104993)),f330(f330(f7(x104991,f937(f936(x104991,x104992),a925),f937(x104992,a925)),f330(f330(f8(f937(x104992,f937(f937(f936(x104991,x104992),a925),a925)),f937(f937(f936(x104991,x104992),a925),f937(x104992,a925)),x104991),f7(x104992,f937(f936(x104991,x104992),a925),a925)),f330(f330(f8(f937(x104992,f936(x104991,x104992)),f937(x104992,f937(f937(f936(x104991,x104992),a925),a925)),x104991),f330(f8(f936(x104991,x104992),f937(f937(f936(x104991,x104992),a925),a925),x104992),f332(f936(x104991,x104992)))),f256(x104991,x104992)))),x104994)),x104995),x104996)) % 242.40/242.48 [10508]P1(f330(f330(f332(f936(x105081,x105082)),f330(f330(f256(x105081,x105082),x105083),x105084)),f330(f330(f113(f937(f936(x105081,x105082),a925)),x105085),x105086)))+~P1(f330(f330(f330(f330(f113(f937(x105081,f937(x105082,a925))),f330(f330(f7(x105081,f937(f936(x105081,x105082),a925),f937(x105082,a925)),f330(f330(f8(f937(x105082,f937(f937(f936(x105081,x105082),a925),a925)),f937(f937(f936(x105081,x105082),a925),f937(x105082,a925)),x105081),f7(x105082,f937(f936(x105081,x105082),a925),a925)),f330(f330(f8(f937(x105082,f936(x105081,x105082)),f937(x105082,f937(f937(f936(x105081,x105082),a925),a925)),x105081),f330(f8(f936(x105081,x105082),f937(f937(f936(x105081,x105082),a925),a925),x105082),f332(f936(x105081,x105082)))),f256(x105081,x105082)))),x105085)),f330(f330(f7(x105081,f937(f936(x105081,x105082),a925),f937(x105082,a925)),f330(f330(f8(f937(x105082,f937(f937(f936(x105081,x105082),a925),a925)),f937(f937(f936(x105081,x105082),a925),f937(x105082,a925)),x105081),f7(x105082,f937(f936(x105081,x105082),a925),a925)),f330(f330(f8(f937(x105082,f936(x105081,x105082)),f937(x105082,f937(f937(f936(x105081,x105082),a925),a925)),x105081),f330(f8(f936(x105081,x105082),f937(f937(f936(x105081,x105082),a925),a925),x105082),f332(f936(x105081,x105082)))),f256(x105081,x105082)))),x105086)),x105083),x105084)) % 242.40/242.48 [10509]P1(f330(f330(f332(f936(x105091,x105092)),f330(f330(f256(x105091,x105092),x105093),x105094)),f330(f330(f104(f937(f936(x105091,x105092),a925)),x105095),x105096)))+~P1(f330(f330(f330(f330(f104(f937(x105091,f937(x105092,a925))),f330(f330(f7(x105091,f937(f936(x105091,x105092),a925),f937(x105092,a925)),f330(f330(f8(f937(x105092,f937(f937(f936(x105091,x105092),a925),a925)),f937(f937(f936(x105091,x105092),a925),f937(x105092,a925)),x105091),f7(x105092,f937(f936(x105091,x105092),a925),a925)),f330(f330(f8(f937(x105092,f936(x105091,x105092)),f937(x105092,f937(f937(f936(x105091,x105092),a925),a925)),x105091),f330(f8(f936(x105091,x105092),f937(f937(f936(x105091,x105092),a925),a925),x105092),f332(f936(x105091,x105092)))),f256(x105091,x105092)))),x105095)),f330(f330(f7(x105091,f937(f936(x105091,x105092),a925),f937(x105092,a925)),f330(f330(f8(f937(x105092,f937(f937(f936(x105091,x105092),a925),a925)),f937(f937(f936(x105091,x105092),a925),f937(x105092,a925)),x105091),f7(x105092,f937(f936(x105091,x105092),a925),a925)),f330(f330(f8(f937(x105092,f936(x105091,x105092)),f937(x105092,f937(f937(f936(x105091,x105092),a925),a925)),x105091),f330(f8(f936(x105091,x105092),f937(f937(f936(x105091,x105092),a925),a925),x105092),f332(f936(x105091,x105092)))),f256(x105091,x105092)))),x105096)),x105093),x105094)) % 242.40/242.48 [10491]~P1(f330(f330(f332(f936(x104912,x104913)),f330(f330(f256(x104912,x104913),x104915),x104916)),f330(f330(f41(x104911,f937(f936(x104912,x104913),a925)),f246(f937(x104911,a925))),x104914)))+P1(f330(f330(f330(f330(f41(x104911,f937(x104912,f937(x104913,a925))),f246(f937(x104911,a925))),f330(f330(f8(f937(f936(x104912,x104913),a925),f937(x104912,f937(x104913,a925)),x104911),f330(f7(x104912,f937(f936(x104912,x104913),a925),f937(x104913,a925)),f330(f330(f8(f937(x104913,f937(f937(f936(x104912,x104913),a925),a925)),f937(f937(f936(x104912,x104913),a925),f937(x104913,a925)),x104912),f7(x104913,f937(f936(x104912,x104913),a925),a925)),f330(f330(f8(f937(x104913,f936(x104912,x104913)),f937(x104913,f937(f937(f936(x104912,x104913),a925),a925)),x104912),f330(f8(f936(x104912,x104913),f937(f937(f936(x104912,x104913),a925),a925),x104913),f332(f936(x104912,x104913)))),f256(x104912,x104913))))),x104914)),x104915),x104916)) % 242.40/242.48 [10492]~P1(f330(f330(f332(f936(x104922,x104923)),f330(f330(f256(x104922,x104923),x104925),x104926)),f330(f330(f42(x104921,f937(f936(x104922,x104923),a925)),f246(f937(x104921,a925))),x104924)))+P1(f330(f330(f330(f330(f42(x104921,f937(x104922,f937(x104923,a925))),f246(f937(x104921,a925))),f330(f330(f8(f937(f936(x104922,x104923),a925),f937(x104922,f937(x104923,a925)),x104921),f330(f7(x104922,f937(f936(x104922,x104923),a925),f937(x104923,a925)),f330(f330(f8(f937(x104923,f937(f937(f936(x104922,x104923),a925),a925)),f937(f937(f936(x104922,x104923),a925),f937(x104923,a925)),x104922),f7(x104923,f937(f936(x104922,x104923),a925),a925)),f330(f330(f8(f937(x104923,f936(x104922,x104923)),f937(x104923,f937(f937(f936(x104922,x104923),a925),a925)),x104922),f330(f8(f936(x104922,x104923),f937(f937(f936(x104922,x104923),a925),a925),x104923),f332(f936(x104922,x104923)))),f256(x104922,x104923))))),x104924)),x104925),x104926)) % 242.40/242.48 [10502]P1(f330(f330(f332(f936(x105021,x105022)),f330(f330(f256(x105021,x105022),x105023),x105024)),f330(f330(f41(x105025,f937(f936(x105021,x105022),a925)),f246(f937(x105025,a925))),x105026)))+~P1(f330(f330(f330(f330(f41(x105025,f937(x105021,f937(x105022,a925))),f246(f937(x105025,a925))),f330(f330(f8(f937(f936(x105021,x105022),a925),f937(x105021,f937(x105022,a925)),x105025),f330(f7(x105021,f937(f936(x105021,x105022),a925),f937(x105022,a925)),f330(f330(f8(f937(x105022,f937(f937(f936(x105021,x105022),a925),a925)),f937(f937(f936(x105021,x105022),a925),f937(x105022,a925)),x105021),f7(x105022,f937(f936(x105021,x105022),a925),a925)),f330(f330(f8(f937(x105022,f936(x105021,x105022)),f937(x105022,f937(f937(f936(x105021,x105022),a925),a925)),x105021),f330(f8(f936(x105021,x105022),f937(f937(f936(x105021,x105022),a925),a925),x105022),f332(f936(x105021,x105022)))),f256(x105021,x105022))))),x105026)),x105023),x105024)) % 242.40/242.48 [10503]P1(f330(f330(f332(f936(x105031,x105032)),f330(f330(f256(x105031,x105032),x105033),x105034)),f330(f330(f42(x105035,f937(f936(x105031,x105032),a925)),f246(f937(x105035,a925))),x105036)))+~P1(f330(f330(f330(f330(f42(x105035,f937(x105031,f937(x105032,a925))),f246(f937(x105035,a925))),f330(f330(f8(f937(f936(x105031,x105032),a925),f937(x105031,f937(x105032,a925)),x105035),f330(f7(x105031,f937(f936(x105031,x105032),a925),f937(x105032,a925)),f330(f330(f8(f937(x105032,f937(f937(f936(x105031,x105032),a925),a925)),f937(f937(f936(x105031,x105032),a925),f937(x105032,a925)),x105031),f7(x105032,f937(f936(x105031,x105032),a925),a925)),f330(f330(f8(f937(x105032,f936(x105031,x105032)),f937(x105032,f937(f937(f936(x105031,x105032),a925),a925)),x105031),f330(f8(f936(x105031,x105032),f937(f937(f936(x105031,x105032),a925),a925),x105032),f332(f936(x105031,x105032)))),f256(x105031,x105032))))),x105036)),x105033),x105034)) % 242.40/242.48 [7676]E(f330(x76761,f330(x76762,x76763)),f330(x76764,x76763))+~E(f330(f74(x76765,x76766,x76767,x76761),x76762),x76764) % 242.40/242.48 [9846]E(x98461,x98462)+E(f76(x98463,x98464,f76(x98463,x98464,x98465,x98461,x98466),x98462,x98467),f76(x98463,x98464,f76(x98463,x98464,x98465,x98462,x98467),x98461,x98466)) % 242.40/242.48 [9937]~P25(x99373,x99374,x99371,x99375,x99376,x99377)+E(f330(f330(x99371,x99372),x99372),x99372) % 242.40/242.48 [6240]~E(f330(f330(f157(x62401,x62405),x62406),x62402),f330(f330(f157(x62403,x62405),x62407),x62404))+E(f330(f192(f931(x62401)),x62402),f330(f192(f931(x62403)),x62404)) % 242.40/242.48 [8730]E(f330(x87301,f330(x87302,x87303)),f330(x87304,x87303))+~E(f330(f74(x87305,x87306,x87307,x87301),x87302),f330(f74(x87306,x87306,x87307,f33(x87306)),x87304)) % 242.40/242.48 [9086]~P39(x90864,x90865,x90861,f330(f330(f154(x90864),x90862),x90866),f330(f330(f154(x90865),x90863),x90867))+P1(f330(f330(x90861,x90862),x90863)) % 242.40/242.48 [9478]P39(x94781,x94782,x94783,x94784,x94785)+~P39(x94781,x94782,x94783,f330(f330(f154(x94781),x94786),x94784),f330(f330(f154(x94782),x94787),x94785)) % 242.40/242.48 [10096]P1(f330(f330(x100961,x100962),f542(x100963,x100962,x100964,x100961)))+~P1(f330(f330(f257(x100965,x100966,x100967,x100961,x100964),x100962),x100963)) % 242.40/242.48 [10120]P1(f330(f330(x101201,f542(x101202,x101203,x101201,x101204)),x101202))+~P1(f330(f330(f257(x101205,x101206,x101207,x101204,x101201),x101203),x101202)) % 242.40/242.48 [6286]E(x62861,x62862)+~E(f330(f330(f330(f93(x62863),x62864),x62865),x62861),f330(f330(f330(f93(x62863),x62866),x62867),x62862)) % 242.40/242.48 [6287]E(x62871,x62872)+~E(f330(f330(f330(f93(x62873),x62874),x62871),x62875),f330(f330(f330(f93(x62873),x62876),x62872),x62877)) % 242.40/242.48 [6288]E(x62881,x62882)+~E(f330(f330(f330(f93(x62883),x62881),x62884),x62885),f330(f330(f330(f93(x62883),x62882),x62886),x62887)) % 242.40/242.48 [9210]~P23(x92106,x92101,x92103,x92107)+E(f330(f74(x92101,x92101,x92102,f330(x92103,x92104)),f330(f74(x92101,x92101,x92102,f330(x92103,x92104)),x92105)),f330(f74(x92101,x92101,x92102,f330(x92103,x92104)),x92105)) % 242.40/242.48 [9584]~P39(x95843,x95842,x95844,f330(f330(f157(x95841,x95843),x95845),x95846),x95847)+P39(x95841,x95842,f330(f330(f8(x95843,f937(x95842,a925),x95841),x95844),x95845),x95846,x95847) % 242.40/242.48 [9607]P39(x96071,x96072,x96073,f330(f330(f157(x96074,x96071),x96075),x96076),x96077)+~P39(x96074,x96072,f330(f330(f8(x96071,f937(x96072,a925),x96074),x96073),x96075),x96076,x96077) % 242.40/242.48 [9209]~P1(f330(f330(f332(x92091),x92092),f330(f330(x92095,x92096),x92097)))+P1(f330(f330(f332(x92091),x92092),f330(f330(f261(x92093,x92094,f937(x92091,a925)),x92095),f330(f330(f256(x92093,x92094),x92096),x92097)))) % 242.40/242.48 [9501]P1(f330(f330(f330(x95011,x95012),x95013),x95014))+~P1(f330(f330(f330(f261(x95015,x95016,f937(x95017,a925)),x95011),f330(f330(f256(x95015,x95016),x95012),x95013)),x95014)) % 242.40/242.48 [9646]P1(f330(f330(f332(x96461),f330(f330(x96462,x96463),x96464)),f330(f313(f936(x96465,x96466),x96461,f330(f261(x96465,x96466,x96461),x96462)),x96467)))+~P1(f330(f330(f332(f936(x96465,x96466)),f330(f330(f256(x96465,x96466),x96463),x96464)),x96467)) % 242.40/242.48 [9984]P1(f330(f330(f332(f936(f931(x99841),f931(x99841))),f330(f330(f256(f931(x99841),f931(x99841)),f330(f330(f137(x99841),x99842),f330(f330(f154(x99841),x99843),x99844))),f330(f330(f137(x99841),x99842),f330(f330(f154(x99841),x99845),x99846)))),f150(x99841,x99847)))+~P1(f330(f330(f332(f936(x99841,x99841)),f330(f330(f256(x99841,x99841),x99843),x99845)),x99847)) % 242.40/242.48 [10048]~P39(x100481,x100483,x100484,x100486,f330(f330(f157(x100482,x100483),x100485),x100487))+P39(x100481,x100482,f330(f330(f7(x100481,f937(x100482,x100483),f937(x100482,a925)),f330(f330(f8(f937(x100483,a925),f937(f937(x100482,x100483),f937(x100482,a925)),x100481),f8(x100483,a925,x100482)),x100484)),x100485),x100486,x100487) % 242.40/242.48 [10124]P39(x101241,x101242,x101243,x101244,f330(f330(f157(x101245,x101242),x101246),x101247))+~P39(x101241,x101245,f330(f330(f7(x101241,f937(x101245,x101242),f937(x101245,a925)),f330(f330(f8(f937(x101242,a925),f937(f937(x101245,x101242),f937(x101245,a925)),x101241),f8(x101242,a925,x101245)),x101243)),x101246),x101244,x101247) % 242.40/242.48 [10419]P1(f330(f330(f332(x104191),f629(x104192,x104193,x104194,x104195,x104196,x104197,x104191)),x104195))+P1(f330(f330(f330(f330(f42(x104191,f937(x104197,f937(x104196,a925))),x104195),x104194),x104193),x104192)) % 242.40/242.48 [10420]P1(f330(f330(f332(x104201),f809(x104202,x104203,x104204,x104205,x104206,x104207,x104201)),x104207))+P1(f330(f330(f330(f330(f42(x104201,f937(x104203,f937(x104202,a925))),x104207),x104206),x104205),x104204)) % 242.40/242.48 [10421]P1(f330(f330(f332(x104211),f467(x104212,x104213,x104214,x104215,x104216,x104217,x104211)),x104215))+~P1(f330(f330(f330(f330(f41(x104211,f937(x104217,f937(x104216,a925))),x104215),x104214),x104213),x104212)) % 242.40/242.48 [10422]P1(f330(f330(f332(x104221),f810(x104222,x104223,x104224,x104225,x104226,x104227,x104221)),x104225))+~P1(f330(f330(f330(f330(f41(x104221,f937(x104227,f937(x104226,a925))),x104225),x104224),x104223),x104222)) % 242.40/242.48 [10455]P1(f330(f330(f330(x104551,f467(x104552,x104553,x104551,x104554,x104555,x104556,x104557)),x104553),x104552))+~P1(f330(f330(f330(f330(f41(x104557,f937(x104556,f937(x104555,a925))),x104554),x104551),x104553),x104552)) % 242.40/242.48 [10456]P1(f330(f330(f330(x104561,f810(x104562,x104563,x104561,x104564,x104565,x104566,x104567)),x104563),x104562))+~P1(f330(f330(f330(f330(f41(x104567,f937(x104566,f937(x104565,a925))),x104564),x104561),x104563),x104562)) % 242.40/242.48 [10471]~P1(f330(f330(f330(x104715,f629(x104717,x104716,x104715,x104714,x104713,x104712,x104711)),x104716),x104717))+P1(f330(f330(f330(f330(f42(x104711,f937(x104712,f937(x104713,a925))),x104714),x104715),x104716),x104717)) % 242.40/242.48 [10472]~P1(f330(f330(f330(x104725,f809(x104723,x104722,x104727,x104726,x104725,x104724,x104721)),x104726),x104727))+P1(f330(f330(f330(f330(f42(x104721,f937(x104722,f937(x104723,a925))),x104724),x104725),x104726),x104727)) % 242.40/242.48 [10490]~P1(f330(f330(f332(f936(x104901,x104903)),f330(f330(f256(x104901,x104903),x104906),x104907)),f330(f330(f292(x104901,x104902,x104903),x104904),x104905)))+P1(f330(f330(f257(x104901,x104902,x104903,f330(f330(f7(x104901,f937(f936(x104901,x104902),a925),f937(x104902,a925)),f330(f330(f8(f937(x104902,f937(f937(f936(x104901,x104902),a925),a925)),f937(f937(f936(x104901,x104902),a925),f937(x104902,a925)),x104901),f7(x104902,f937(f936(x104901,x104902),a925),a925)),f330(f330(f8(f937(x104902,f936(x104901,x104902)),f937(x104902,f937(f937(f936(x104901,x104902),a925),a925)),x104901),f330(f8(f936(x104901,x104902),f937(f937(f936(x104901,x104902),a925),a925),x104902),f332(f936(x104901,x104902)))),f256(x104901,x104902)))),x104904),f330(f330(f7(x104902,f937(f936(x104902,x104903),a925),f937(x104903,a925)),f330(f330(f8(f937(x104903,f937(f937(f936(x104902,x104903),a925),a925)),f937(f937(f936(x104902,x104903),a925),f937(x104903,a925)),x104902),f7(x104903,f937(f936(x104902,x104903),a925),a925)),f330(f330(f8(f937(x104903,f936(x104902,x104903)),f937(x104903,f937(f937(f936(x104902,x104903),a925),a925)),x104902),f330(f8(f936(x104902,x104903),f937(f937(f936(x104902,x104903),a925),a925),x104903),f332(f936(x104902,x104903)))),f256(x104902,x104903)))),x104905)),x104906),x104907)) % 242.40/242.48 [10501]P1(f330(f330(f332(f936(x105011,x105012)),f330(f330(f256(x105011,x105012),x105013),x105014)),f330(f330(f292(x105011,x105015,x105012),x105016),x105017)))+~P1(f330(f330(f257(x105011,x105015,x105012,f330(f330(f7(x105011,f937(f936(x105011,x105015),a925),f937(x105015,a925)),f330(f330(f8(f937(x105015,f937(f937(f936(x105011,x105015),a925),a925)),f937(f937(f936(x105011,x105015),a925),f937(x105015,a925)),x105011),f7(x105015,f937(f936(x105011,x105015),a925),a925)),f330(f330(f8(f937(x105015,f936(x105011,x105015)),f937(x105015,f937(f937(f936(x105011,x105015),a925),a925)),x105011),f330(f8(f936(x105011,x105015),f937(f937(f936(x105011,x105015),a925),a925),x105015),f332(f936(x105011,x105015)))),f256(x105011,x105015)))),x105016),f330(f330(f7(x105015,f937(f936(x105015,x105012),a925),f937(x105012,a925)),f330(f330(f8(f937(x105012,f937(f937(f936(x105015,x105012),a925),a925)),f937(f937(f936(x105015,x105012),a925),f937(x105012,a925)),x105015),f7(x105012,f937(f936(x105015,x105012),a925),a925)),f330(f330(f8(f937(x105012,f936(x105015,x105012)),f937(x105012,f937(f937(f936(x105015,x105012),a925),a925)),x105015),f330(f8(f936(x105015,x105012),f937(f937(f936(x105015,x105012),a925),a925),x105012),f332(f936(x105015,x105012)))),f256(x105015,x105012)))),x105017)),x105013),x105014)) % 242.40/242.48 [10431]~P146(x104312)+E(f330(f330(f6(x104311,x104312),f330(f330(f7(x104311,f937(x104313,a925),x104312),f330(f330(f8(f937(x104313,x104312),f937(f937(x104313,a925),x104312),x104311),f6(x104313,x104312)),f330(f330(f7(x104311,f937(x104313,x104312),f937(x104313,x104312)),f330(f330(f8(f937(x104312,x104312),f937(f937(x104313,x104312),f937(x104313,x104312)),x104311),f8(x104312,x104312,x104313)),f330(f330(f8(x104312,f937(x104312,x104312),x104311),f83(x104312)),x104314))),x104315))),x104316)),x104317),f330(f330(f83(x104312),f330(f330(f6(x104311,x104312),x104314),x104317)),f330(f330(f6(x104313,x104312),x104315),x104316))) % 242.40/242.48 [9533]~P22(x95337,x95331,x95333,x95338)+E(f330(f74(x95331,x95331,x95332,f330(x95333,x95334)),f330(f74(x95331,x95331,x95332,f330(x95333,x95335)),x95336)),f330(f74(x95331,x95331,x95332,f330(x95333,x95335)),f330(f74(x95331,x95331,x95332,f330(x95333,x95334)),x95336))) % 242.40/242.48 [10496]E(f330(f330(f256(x104961,x104962),f330(x104963,f537(x104964,x104965,x104963,x104966,x104967,x104968,x104962,x104961))),f330(x104965,f538(x104964,x104965,x104963,x104966,x104967,x104968,x104962,x104961))),x104968)+~P1(f330(f330(f332(f936(x104961,x104962)),x104968),f330(f313(f936(x104967,x104966),f936(x104961,x104962),f262(x104967,x104961,x104966,x104962,x104963,x104965)),x104964))) % 242.40/242.48 [10514]~P1(f330(f330(f332(f936(x105148,x105147)),x105146),f330(f313(f936(x105141,x105142),f936(x105148,x105147),f262(x105141,x105148,x105142,x105147,x105145,x105144)),x105143)))+P1(f330(f330(f332(f936(x105141,x105142)),f330(f330(f256(x105141,x105142),f537(x105143,x105144,x105145,x105142,x105141,x105146,x105147,x105148)),f538(x105143,x105144,x105145,x105142,x105141,x105146,x105147,x105148))),x105143)) % 242.40/242.48 [9974]P1(f330(f330(f332(f936(f936(x99741,x99742),f936(x99741,x99742))),f330(f330(f256(f936(x99741,x99742),f936(x99741,x99742)),f330(f330(f256(x99741,x99742),x99743),x99744)),f330(f330(f256(x99741,x99742),x99745),x99746))),f323(x99741,x99742,x99747,x99748)))+~P1(f330(f330(f332(f936(x99741,x99741)),f330(f330(f256(x99741,x99741),x99743),x99745)),x99747)) % 242.40/242.48 [10483]E(f330(f145(x104831,x104832,f330(f7(x104832,x104831,x104831),x104833),f330(x104834,x104835)),x104836),f330(x104834,f330(f145(x104837,x104832,f330(f7(x104832,x104837,x104837),x104838),x104835),x104836)))+P1(f330(f330(f332(x104832),f753(x104835,x104838,x104834,x104833,x104837,x104831,x104836,x104832)),f330(f175(x104832),x104836))) % 242.40/242.48 [10504]~E(f330(f74(x105041,x105041,x105047,f330(x105043,f753(x105045,x105048,x105044,x105043,x105047,x105041,x105046,x105042))),x105044),f330(f74(x105047,x105041,x105047,x105044),f330(x105048,f753(x105045,x105048,x105044,x105043,x105047,x105041,x105046,x105042))))+E(f330(f145(x105041,x105042,f330(f7(x105042,x105041,x105041),x105043),f330(x105044,x105045)),x105046),f330(x105044,f330(f145(x105047,x105042,f330(f7(x105042,x105047,x105047),x105048),x105045),x105046))) % 242.40/242.48 [8735]E(f330(x87351,f330(x87352,x87353)),f330(x87354,f330(x87355,x87353)))+~E(f330(f74(x87356,x87357,x87358,x87351),x87352),f330(f74(x87359,x87357,x87358,x87354),x87355)) % 242.40/242.48 [10343]P1(f330(f330(f332(f936(x103431,x103432)),f330(f330(f256(x103431,x103432),f330(x103433,x103434)),f330(x103435,x103436))),f330(f313(f936(x103437,x103438),f936(x103431,x103432),f262(x103437,x103431,x103438,x103432,x103433,x103435)),x103439)))+~P1(f330(f330(f332(f936(x103437,x103438)),f330(f330(f256(x103437,x103438),x103434),x103436)),x103439)) % 242.40/242.48 [9032]~E(f330(x90324,f330(x90325,x90326)),f330(x90329,f330(x903210,x903211)))+E(f330(f330(f74(x90321,x90322,x90323,x90324),x90325),x90326),f330(f330(f74(x90327,x90322,x90328,x90329),x903210),x903211)) % 242.40/242.48 [4813]~P112(x48131)+~P106(x48131)+E(f104(x48131),f237(x48131)) % 242.40/242.48 [4814]~P105(x48141)+~P112(x48141)+E(f113(x48141),f238(x48141)) % 242.40/242.48 [5064]~P115(x50641)+~P98(x50641)+E(f330(f77(x50641),f330(f106(x50641),a100)),f80(x50641)) % 242.40/242.48 [5349]E(x53491,f2(a1))+E(f84(a1,x53491),f330(f81(a1),f80(a1)))+P1(f330(f330(f240(a1),f2(a1)),x53491)) % 242.40/242.48 [5558]E(x55581,f2(a1))+E(f84(a1,x55581),f80(a1))+~P1(f330(f330(f240(a1),f2(a1)),x55581)) % 242.40/242.48 [7572]~P45(x75721)+P1(f330(f63(a1),x75721))+~P1(f330(f63(a930),f330(f313(a1,a930,a107),x75721))) % 242.40/242.48 [9936]E(x99361,f191(f937(f936(a930,a930),a925)))+~P1(f330(f63(f936(a930,a930)),x99361))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),f191(f937(f936(a930,a930),a925))),x99361)),a36)) % 242.40/242.48 [10097]E(x100971,f2(a930))+E(x100971,f330(a115,f2(a930)))+~P1(f330(f330(f240(a930),x100971),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.48 [10375]E(x103751,f2(a102))+E(f330(f330(f82(a1),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a22,f330(f330(f38(a102),x103751),f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))),f80(a1)),f330(a22,x103751))+E(f47(a102,x103751,f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(a102)) % 242.40/242.48 [10223]E(x102231,f2(a102))+~E(f47(a102,x102231,f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(a102))+E(f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(a22,f330(f330(f38(a102),x102231),f330(f106(a102),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f330(a22,x102231)) % 242.40/242.48 [4895]~P64(x48951,x48952)+P50(x48951,x48952)+~P51(a925) % 242.40/242.48 [4823]~P147(x48231)+P33(x48231,x48232)+~E(x48232,f2(x48231)) % 242.40/242.48 [4824]~P112(x48241)+P16(x48241,x48242)+~E(x48242,f116(x48241)) % 242.40/242.48 [4833]~P115(x48331)+~E(x48332,f2(x48331))+E(f84(x48331,x48332),f2(x48331)) % 242.40/242.48 [4834]~P94(x48341)+~E(x48342,f2(x48341))+E(f84(x48341,x48342),f2(x48341)) % 242.40/242.48 [4842]~P147(x48422)+~P33(x48422,x48421)+E(x48421,f2(x48422)) % 242.40/242.48 [4887]~P115(x48872)+~E(f84(x48872,x48871),f2(x48872))+E(x48871,f2(x48872)) % 242.40/242.48 [4902]~P7(x49022)+~P7(x49021)+P7(f937(x49021,x49022)) % 242.40/242.48 [4903]~P7(x49032)+~P7(x49031)+P7(f936(x49031,x49032)) % 242.40/242.48 [4904]~P7(x49042)+~P7(x49041)+P7(f938(x49041,x49042)) % 242.40/242.48 [4905]~P9(x49052)+~P9(x49051)+P9(f198(x49051,x49052)) % 242.40/242.48 [4906]~P69(x49062)+~P69(x49061)+P69(f937(x49061,x49062)) % 242.40/242.48 [4907]~P69(x49072)+~P69(x49071)+P69(f936(x49071,x49072)) % 242.40/242.48 [4908]~P69(x49082)+~P69(x49081)+P69(f938(x49081,x49082)) % 242.40/242.48 [4909]~P108(x49092)+~P108(x49091)+P108(f936(x49091,x49092)) % 242.40/242.48 [5036]~P112(x50361)+~P16(x50361,x50362)+P16(x50361,f155(x50361,x50362)) % 242.40/242.48 [5278]~P9(x52782)+~P9(x52781)+P9(f47(a1,x52781,x52782)) % 242.40/242.48 [4844]~P81(x48441)+~E(x48442,f2(x48441))+E(f330(f81(x48441),x48442),x48442) % 242.40/242.48 [4859]~P142(x48591)+~E(x48592,f2(a1))+E(f330(f105(x48591),x48592),f2(x48591)) % 242.40/242.48 [4860]~P97(x48601)+~E(x48602,f2(a1))+E(f330(f105(x48601),x48602),f2(x48601)) % 242.40/242.48 [4884]~P5(x48841)+~E(f2(x48841),x48842)+E(f330(f81(x48841),x48842),f2(x48841)) % 242.40/242.48 [4885]~P5(x48851)+~E(x48852,f2(x48851))+E(f330(f81(x48851),x48852),f2(x48851)) % 242.40/242.48 [4886]~P91(x48861)+~E(x48862,f2(x48861))+E(f330(f77(x48861),x48862),f2(x48861)) % 242.40/242.48 [4911]~P81(x49112)+E(x49111,f2(x49112))+~E(f330(f81(x49112),x49111),x49111) % 242.40/242.48 [4917]E(x49171,f330(a107,x49172))+~E(x49171,f2(a930))+~E(x49172,f330(f103(a1),x49171)) % 242.40/242.48 [4918]E(f330(a107,x49181),x49182)+~E(x49182,f2(a930))+~E(x49181,f330(f103(a1),x49182)) % 242.40/242.48 [4922]~P97(x49222)+E(x49221,f2(a1))+~E(f330(f105(x49222),x49221),f2(x49222)) % 242.40/242.48 [4926]~P5(x49262)+E(x49261,f2(x49262))+~E(f330(f81(x49262),x49261),f2(x49262)) % 242.40/242.48 [4927]~P91(x49272)+E(x49271,f2(x49272))+~E(f330(f77(x49272),x49271),f2(x49272)) % 242.40/242.48 [4928]~P5(x49281)+E(f2(x49281),x49282)+~E(f330(f81(x49281),x49282),f2(x49281)) % 242.40/242.48 [5111]~P112(x51111)+~P16(x51111,x51112)+P16(x51111,f330(f174(x51111),x51112)) % 242.40/242.48 [5138]~P1(x51382)+~P1(x51381)+P1(f330(f330(a328,x51381),x51382)) % 242.40/242.48 [5172]~E(f80(a930),f2(a930))+E(f330(f37(x51721),x51722),f2(a930))+~P1(f330(f63(x51721),x51722)) % 242.40/242.48 [5208]~P146(x52081)+~P117(x52081)+E(f330(f330(f248(x52081),f2(x52081)),f330(a115,x52082)),f2(x52081)) % 242.40/242.48 [5246]~P112(x52461)+P16(x52461,f142(x52461,x52462))+~P1(f330(f63(x52461),x52462)) % 242.40/242.48 [5247]~P112(x52471)+P16(x52471,f757(x52472,x52471))+~P1(f330(f63(x52471),x52472)) % 242.40/242.48 [5270]~P112(x52701)+E(f330(f175(x52701),f142(x52701,x52702)),x52702)+~P1(f330(f63(x52701),x52702)) % 242.40/242.48 [5271]~P112(x52711)+E(f330(f175(x52711),f757(x52712,x52711)),x52712)+~P1(f330(f63(x52711),x52712)) % 242.40/242.48 [5299]P1(x52991)+P1(x52992)+~P1(f330(f330(a329,x52992),x52991)) % 242.40/242.48 [5312]E(x53121,f191(f937(x53122,a925)))+~E(f330(f37(x53122),x53121),f2(a930))+~P1(f330(f63(x53122),x53121)) % 242.40/242.48 [5317]P1(x53171)+~P1(x53172)+~P1(f330(f330(a333,x53172),x53171)) % 242.40/242.48 [5367]~P79(x53671)+E(f330(f77(x53671),x53672),x53672)+P1(f330(f330(f240(x53671),x53672),f2(x53671))) % 242.40/242.48 [5428]~P69(x54282)+~P1(f330(f58(x54282),x54281))+P1(f330(x54281,f747(x54281,x54282))) % 242.40/242.48 [5429]~P69(x54292)+~P1(f330(f58(x54292),x54291))+P1(f330(x54291,f754(x54291,x54292))) % 242.40/242.48 [5469]E(x54691,f116(x54692))+P1(f330(f140(x54692),f117(x54692,x54691)))+~P1(f330(f140(x54692),x54691)) % 242.40/242.48 [5474]~P112(x54741)+~P1(f330(f63(x54741),x54742))+P1(f330(f140(x54741),f142(x54741,x54742))) % 242.40/242.48 [5475]~P112(x54751)+~P1(f330(f63(x54751),x54752))+P1(f330(f140(x54751),f757(x54752,x54751))) % 242.40/242.48 [5480]~P142(x54801)+E(f330(f103(x54801),f330(a107,x54802)),f330(f105(x54801),x54802))+P1(f330(f330(f240(a1),x54802),f2(a1))) % 242.40/242.48 [5507]P10(x55072,x55071)+E(f330(x55071,f521(x55071)),f330(x55071,f528(x55071)))+P1(f330(f330(x55071,f521(x55071)),f528(x55071))) % 242.40/242.48 [5520]E(f330(f103(a1),f418(x55201,x55202)),x55201)+P1(f330(x55202,f330(a107,x55201)))+~P1(f330(x55202,f2(a930))) % 242.40/242.48 [5532]~P69(x55321)+~P1(f330(x55322,f760(x55322,x55321)))+P1(f330(f59(x55321),x55322)) % 242.40/242.48 [5533]~P69(x55331)+~P1(f330(x55332,f769(x55332,x55331)))+P1(f330(f59(x55331),x55332)) % 242.40/242.48 [5568]~P115(x55681)+~E(f84(x55681,x55682),f330(f81(x55681),f80(x55681)))+P1(f330(f330(f240(x55681),x55682),f2(x55681))) % 242.40/242.48 [5641]~E(x56412,f2(a1))+E(f219(x56411,x56412),f330(f330(f256(a1,a1),f2(a1)),f80(a1)))+P1(f330(f330(f240(a1),x56412),f2(a1))) % 242.40/242.48 [5642]~E(x56421,f2(a1))+E(f219(x56421,x56422),f330(f330(f256(a1,a1),f2(a1)),f80(a1)))+P1(f330(f330(f240(a1),x56422),f2(a1))) % 242.40/242.48 [5694]E(f330(f103(a1),f418(x56941,x56942)),x56941)+P1(f330(x56942,f330(a107,x56941)))+P1(f330(f330(f240(a1),x56941),f2(a1))) % 242.40/242.48 [5761]~P115(x57611)+E(f84(x57611,x57612),f330(f81(x57611),f80(x57611)))+~P1(f330(f330(f240(x57611),x57612),f2(x57611))) % 242.40/242.48 [5762]~P91(x57621)+E(f330(f77(x57621),x57622),f330(f81(x57621),x57622))+~P1(f330(f330(f239(x57621),x57622),f2(x57621))) % 242.40/242.48 [5763]~P91(x57631)+E(f330(f77(x57631),x57632),f330(f81(x57631),x57632))+~P1(f330(f330(f240(x57631),x57632),f2(x57631))) % 242.40/242.48 [5764]~P79(x57641)+E(f330(f77(x57641),x57642),f330(f81(x57641),x57642))+~P1(f330(f330(f240(x57641),x57642),f2(x57641))) % 242.40/242.48 [5863]~P1(f330(x58631,f418(x58632,x58631)))+P1(f330(x58631,f330(a107,x58632)))+~P1(f330(x58631,f2(a930))) % 242.40/242.48 [5870]E(x58701,f2(a930))+E(f330(a115,f635(x58702,x58701)),x58701)+~P1(f330(f330(f240(a930),x58701),f330(a115,x58702))) % 242.40/242.48 [5874]P10(x58741,x58742)+~E(f330(x58742,f521(x58742)),f330(x58742,f528(x58742)))+~P1(f330(f330(x58742,f521(x58742)),f528(x58742))) % 242.40/242.48 [5892]~P112(x58921)+P16(x58921,x58922)+P1(f330(f330(f239(a930),f729(x58922,x58921)),f730(x58922,x58921))) % 242.40/242.48 [5893]~P112(x58931)+P16(x58931,x58932)+P1(f330(f330(f239(a930),f737(x58932,x58931)),f741(x58932,x58931))) % 242.40/242.48 [5979]~P91(x59791)+~E(x59792,f2(x59791))+P1(f330(f330(f239(x59791),f330(f77(x59791),x59792)),f2(x59791))) % 242.40/242.48 [6069]~P1(f330(x60691,f418(x60692,x60691)))+P1(f330(x60691,f330(a107,x60692)))+P1(f330(f330(f240(a1),x60692),f2(a1))) % 242.40/242.48 [6095]~P1(f330(x60951,f330(a107,x60952)))+P1(f330(x60951,f2(a930)))+~P1(f330(f330(f240(a1),x60952),f2(a1))) % 242.40/242.48 [6438]~P115(x64381)+~P1(f330(f330(f240(x64381),x64382),f2(x64381)))+P1(f330(f330(f240(x64381),f84(x64381,x64382)),f2(x64381))) % 242.40/242.48 [6551]~P115(x65511)+P1(f330(f330(f239(x65511),f330(f105(x65511),x65512)),f2(x65511)))+~P1(f330(f330(f239(a1),x65512),f2(a1))) % 242.40/242.48 [6552]~P115(x65521)+P1(f330(f330(f240(x65521),f330(f105(x65521),x65522)),f2(x65521)))+~P1(f330(f330(f240(a1),x65522),f2(a1))) % 242.40/242.48 [6561]~P91(x65612)+E(x65611,f2(x65612))+~P1(f330(f330(f239(x65612),f330(f77(x65612),x65611)),f2(x65612))) % 242.40/242.48 [6638]~P142(x66381)+~P1(f330(f330(f332(x66381),x66382),f112(x66381)))+P1(f330(f330(f332(x66381),f330(f81(x66381),x66382)),f112(x66381))) % 242.40/242.48 [6671]~P115(x66711)+~P1(f330(f330(f240(x66711),f84(x66711,x66712)),f2(x66711)))+P1(f330(f330(f240(x66711),x66712),f2(x66711))) % 242.40/242.48 [6846]~P115(x68462)+~P1(f330(f330(f239(x68462),f330(f105(x68462),x68461)),f2(x68462)))+P1(f330(f330(f239(a1),x68461),f2(a1))) % 242.40/242.48 [6847]~P115(x68472)+~P1(f330(f330(f240(x68472),f330(f105(x68472),x68471)),f2(x68472)))+P1(f330(f330(f240(a1),x68471),f2(a1))) % 242.40/242.48 [7344]~P81(x73441)+~P1(f330(f330(f239(x73441),x73442),f2(x73441)))+P1(f330(f330(f239(x73441),f330(f330(f82(x73441),x73442),x73442)),f2(x73441))) % 242.40/242.48 [7345]~P81(x73451)+~P1(f330(f330(f240(x73451),x73452),f2(x73451)))+P1(f330(f330(f240(x73451),f330(f330(f82(x73451),x73452),x73452)),f2(x73451))) % 242.40/242.48 [7346]~P115(x73461)+~P1(f330(f330(f240(x73461),x73462),f2(x73461)))+P1(f330(f330(f240(x73461),f330(f330(f82(x73461),x73462),x73462)),f2(x73461))) % 242.40/242.48 [7922]~P81(x79221)+~P1(f330(f330(f239(x79221),f330(f330(f82(x79221),x79222),x79222)),f2(x79221)))+P1(f330(f330(f239(x79221),x79222),f2(x79221))) % 242.40/242.48 [7923]~P81(x79231)+~P1(f330(f330(f240(x79231),f330(f330(f82(x79231),x79232),x79232)),f2(x79231)))+P1(f330(f330(f240(x79231),x79232),f2(x79231))) % 242.40/242.48 [7924]~P115(x79241)+~P1(f330(f330(f240(x79241),f330(f330(f82(x79241),x79242),x79242)),f2(x79241)))+P1(f330(f330(f240(x79241),x79242),f2(x79241))) % 242.40/242.48 [4963]~E(x49632,f2(a930))+~E(x49631,f2(a930))+E(f330(f330(f82(a930),x49631),x49632),f2(a930)) % 242.40/242.48 [4964]~E(x49642,f80(a930))+~E(x49641,f80(a930))+E(f330(f330(f83(a930),x49641),x49642),f80(a930)) % 242.40/242.48 [4965]~E(x49652,f80(a1))+~E(x49651,f80(a1))+E(f330(f330(f83(a1),x49651),x49652),f80(a1)) % 242.40/242.48 [5020]~P122(x50202)+E(x50201,f2(x50202))+E(f330(f330(f293(x50202),x50201),x50201),f80(x50202)) % 242.40/242.48 [5021]~P67(x50212)+E(x50211,f2(x50212))+E(f330(f330(f38(x50212),x50211),x50211),f80(x50212)) % 242.40/242.48 [5022]~P123(x50222)+E(x50221,f2(x50222))+E(f330(f330(f293(x50222),x50221),x50221),f80(x50222)) % 242.40/242.48 [5040]~P81(x50401)+~E(x50402,f2(x50401))+E(f330(f330(f82(x50401),x50402),x50402),f2(x50401)) % 242.40/242.48 [5043]~P144(x50431)+~E(x50432,f80(x50431))+E(f330(f330(f83(x50431),x50432),x50432),f80(x50431)) % 242.40/242.48 [5044]~P123(x50441)+~E(x50442,f2(x50441))+E(f330(f330(f293(x50441),x50442),x50442),f2(x50441)) % 242.40/242.48 [5089]~E(x50892,f2(a930))+~E(x50891,f2(a930))+E(f330(f81(a1),f330(f103(a1),x50891)),f330(f103(a1),x50892)) % 242.40/242.48 [5108]E(x51081,f80(a930))+E(x51082,f2(a930))+~E(f330(f330(f83(a930),x51082),x51081),x51082) % 242.40/242.48 [5120]E(x51201,f2(a930))+E(x51202,f2(a930))+~E(f330(f330(f83(a930),x51202),x51201),f2(a930)) % 242.40/242.48 [5147]~E(x51472,f2(a930))+~E(x51471,f330(a115,f2(a930)))+E(f330(f330(f82(a930),x51471),x51472),f330(a115,f2(a930))) % 242.40/242.48 [5148]~E(x51481,f2(a930))+~E(x51482,f330(a115,f2(a930)))+E(f330(f330(f82(a930),x51481),x51482),f330(a115,f2(a930))) % 242.40/242.48 [5155]E(x51551,f80(a1))+E(x51552,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51551),x51552),f80(a1)) % 242.40/242.48 [5156]E(x51561,f80(a1))+E(x51562,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51562),x51561),f80(a1)) % 242.40/242.48 [5157]E(x51571,f80(a1))+E(x51571,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51572),x51571),f80(a1)) % 242.40/242.48 [5159]E(x51591,f80(a1))+E(x51591,f330(f106(a1),a100))+~E(f330(f330(f83(a1),x51591),x51592),f80(a1)) % 242.40/242.48 [5180]~P81(x51802)+E(x51801,f2(x51802))+~E(f330(f330(f82(x51802),x51801),x51801),f2(x51802)) % 242.40/242.48 [5186]~E(x51861,f330(f106(a1),a100))+~E(x51862,f330(f106(a1),a100))+E(f330(f330(f83(a1),x51861),x51862),f80(a1)) % 242.40/242.48 [5197]E(x51971,f2(a930))+E(x51972,f2(a930))+~E(f330(f330(f82(a930),x51972),x51971),f330(a115,f2(a930))) % 242.40/242.48 [5207]~P70(x52071)+~P98(x52071)+E(f330(f330(f293(x52071),x52072),f330(f106(x52071),a85)),f2(x52071)) % 242.40/242.48 [5213]~P144(x52131)+~E(x52132,f330(f81(x52131),f80(x52131)))+E(f330(f330(f83(x52131),x52132),x52132),f80(x52131)) % 242.40/242.48 [5218]~P9(x52182)+~P9(x52181)+P9(f330(f330(f82(a1),x52181),x52182)) % 242.40/242.48 [5219]~P9(x52192)+~P9(x52191)+P9(f330(f330(f83(a1),x52191),x52192)) % 242.40/242.48 [5220]~P9(x52202)+~P9(x52201)+P9(f330(f330(f38(a1),x52201),x52202)) % 242.40/242.48 [5222]~E(x52222,f2(a1))+E(x52221,f2(a1))+E(f48(x52221,x52222),f330(f330(f256(a1,a1),f2(a1)),x52221)) % 242.40/242.48 [5244]~E(x52442,f330(a115,f2(a930)))+~E(x52441,f330(a115,f2(a930)))+E(f330(f330(f83(a930),x52441),x52442),f330(a115,f2(a930))) % 242.40/242.48 [5261]E(x52611,f2(a930))+E(x52612,f330(a115,f2(a930)))+~E(f330(f330(f248(a930),x52612),x52611),f330(a115,f2(a930))) % 242.40/242.48 [5262]E(x52621,f2(a930))+E(x52621,f330(a115,f2(a930)))+~E(f330(f330(f82(a930),x52622),x52621),f330(a115,f2(a930))) % 242.40/242.48 [5263]E(x52631,f2(a930))+E(x52631,f330(a115,f2(a930)))+~E(f330(f330(f82(a930),x52631),x52632),f330(a115,f2(a930))) % 242.40/242.48 [5272]~P70(x52721)+~P98(x52721)+E(f330(f330(f293(x52721),x52722),f330(f106(x52721),a100)),f330(f81(x52721),x52722)) % 242.40/242.48 [5291]E(x52911,f330(a107,x52912))+~E(x52911,f2(a930))+P1(f330(f330(f239(a1),f2(a1)),x52912)) % 242.40/242.48 [5292]E(f330(a107,x52921),x52922)+~E(x52922,f2(a930))+P1(f330(f330(f239(a1),f2(a1)),x52921)) % 242.40/242.48 [5308]E(x53081,f330(a115,f2(a930)))+E(x53082,f330(a115,f2(a930)))+~E(f330(f330(f82(a930),x53081),x53082),f330(a115,f2(a930))) % 242.40/242.48 [5319]~E(x53191,f330(a107,x53192))+E(x53191,f2(a930))+P1(f330(f330(f239(a1),f2(a1)),x53192)) % 242.40/242.48 [5320]~E(f330(a107,x53202),x53201)+E(x53201,f2(a930))+P1(f330(f330(f239(a1),f2(a1)),x53202)) % 242.40/242.48 [5342]~P2(x53421)+E(f330(f65(x53421,f104(x53421)),x53422),f10(x53421,x53422))+~P1(f330(f63(x53421),x53422)) % 242.40/242.48 [5343]~P2(x53431)+E(f330(f65(x53431,f113(x53431)),x53432),f13(x53431,x53432))+~P1(f330(f63(x53431),x53432)) % 242.40/242.48 [5344]~P112(x53441)+E(f330(f65(x53441,f238(x53441)),x53442),f14(x53441,x53442))+~P1(f330(f63(x53441),x53442)) % 242.40/242.48 [5345]~P112(x53451)+E(f330(f65(x53451,f237(x53451)),x53452),f15(x53451,x53452))+~P1(f330(f63(x53451),x53452)) % 242.40/242.48 [5423]E(x54231,x54232)+~E(f330(f330(f23(a930),x54232),x54231),f2(a930))+~E(f330(f330(f23(a930),x54231),x54232),f2(a930)) % 242.40/242.48 [5440]P9(x54401)+~P45(x54402)+~P1(f330(f330(f332(a1),x54401),x54402)) % 242.40/242.48 [5470]~P115(x54701)+~E(f84(x54701,x54702),f80(x54701))+P1(f330(f330(f240(x54701),f2(x54701)),x54702)) % 242.40/242.48 [5481]~P98(x54811)+E(f330(f103(x54811),f330(f106(a930),x54812)),f330(f106(x54811),x54812))+P1(f330(a196,f330(f106(a1),x54812))) % 242.40/242.48 [5486]~P50(x54861,x54862)+P51(a925)+P1(f330(f63(f936(x54861,x54861)),x54862)) % 242.40/242.48 [5560]~P112(x55601)+E(f330(f65(x55601,f238(x55601)),x55602),f11(x55601,f238(x55601),x55602))+~P1(f330(f63(x55601),x55602)) % 242.40/242.48 [5561]~P112(x55611)+E(f330(f65(x55611,f237(x55611)),x55612),f12(x55611,f237(x55611),x55612))+~P1(f330(f63(x55611),x55612)) % 242.40/242.48 [5575]E(x55751,x55752)+P1(f330(f330(f240(a930),x55752),x55751))+P1(f330(f330(f240(a930),x55751),x55752)) % 242.40/242.48 [5576]E(x55761,x55762)+P1(f330(f330(f240(a1),x55762),x55761))+P1(f330(f330(f240(a1),x55761),x55762)) % 242.40/242.48 [5628]~P98(x56281)+E(f330(f103(x56281),f330(f106(a930),x56282)),f2(x56281))+~P1(f330(a196,f330(f106(a1),x56282))) % 242.40/242.48 [5631]~E(x56312,f330(a107,x56311))+E(x56311,f330(f103(a1),x56312))+~P1(f330(f330(f239(a1),f2(a1)),x56311)) % 242.40/242.48 [5632]~E(f330(a107,x56321),x56322)+E(x56321,f330(f103(a1),x56322))+~P1(f330(f330(f239(a1),f2(a1)),x56321)) % 242.40/242.48 [5633]~E(x56331,f330(a107,x56332))+E(f330(f103(a1),x56331),x56332)+~P1(f330(f330(f239(a1),f2(a1)),x56332)) % 242.40/242.48 [5643]E(x56431,f330(a107,x56432))+~E(x56432,f330(f103(a1),x56431))+~P1(f330(f330(f239(a1),f2(a1)),x56432)) % 242.40/242.48 [5644]E(f330(a107,x56441),x56442)+~E(x56441,f330(f103(a1),x56442))+~P1(f330(f330(f239(a1),f2(a1)),x56441)) % 242.40/242.48 [5685]~P91(x56852)+E(x56851,f2(x56852))+P1(f330(f330(f240(x56852),f2(x56852)),f330(f77(x56852),x56851))) % 242.40/242.48 [5750]~P115(x57501)+E(f84(x57501,x57502),f80(x57501))+~P1(f330(f330(f240(x57501),f2(x57501)),x57502)) % 242.40/242.48 [5754]~P98(x57541)+E(f330(f103(x57541),f330(f106(a930),x57542)),f2(x57541))+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x57542))) % 242.40/242.48 [5765]~P91(x57651)+E(f330(f77(x57651),x57652),x57652)+~P1(f330(f330(f239(x57651),f2(x57651)),x57652)) % 242.40/242.48 [5766]~P91(x57661)+E(f330(f77(x57661),x57662),x57662)+~P1(f330(f330(f240(x57661),f2(x57661)),x57662)) % 242.40/242.48 [5775]E(x57751,f2(a930))+~E(f142(a930,f330(f305(a930,x57752),x57751)),f116(a930))+P1(f330(f330(f239(a930),x57751),x57752)) % 242.40/242.48 [5785]~P74(x57851)+E(f330(f330(f6(x57851,x57851),f5(x57851)),f330(f175(x57851),x57852)),f330(f168(x57851),x57852))+~P1(f330(f140(x57851),x57852)) % 242.40/242.48 [5788]~P142(x57881)+E(f330(f103(x57881),f330(a107,x57882)),f330(f105(x57881),x57882))+~P1(f330(f330(f239(a1),f2(a1)),x57882)) % 242.40/242.48 [5815]E(x58151,x58152)+P1(f330(f330(f240(a930),x58151),x58152))+~P1(f330(f330(f239(a930),x58151),x58152)) % 242.40/242.48 [5816]E(x58161,x58162)+P1(f330(f330(f240(a1),x58161),x58162))+~P1(f330(f330(f239(a1),x58161),x58162)) % 242.40/242.48 [5819]E(x58191,f80(a1))+~E(f330(f330(f83(a1),x58192),x58191),f80(a1))+~P1(f330(f330(f240(a1),f2(a1)),x58192)) % 242.40/242.48 [5820]E(x58201,f80(a1))+~E(f330(f330(f83(a1),x58201),x58202),f80(a1))+~P1(f330(f330(f240(a1),f2(a1)),x58201)) % 242.40/242.48 [5860]~P45(x58602)+P1(f330(f330(f239(a1),f2(a1)),x58601))+~P1(f330(f330(f332(a1),x58601),x58602)) % 242.40/242.48 [5879]~P64(x58791,x58792)+P42(x58791,x58792)+~P1(f330(f63(f936(x58791,x58791)),x58792)) % 242.40/242.48 [5881]~P64(x58811,x58812)+P50(x58811,x58812)+~P1(f330(f63(f936(x58811,x58811)),x58812)) % 242.40/242.48 [5923]E(x59231,f191(f937(x59232,a925)))+~P1(f330(f63(x59232),x59231))+P1(f330(f330(f240(a930),f2(a930)),f330(f37(x59232),x59231))) % 242.40/242.48 [5950]~P1(f330(x59501,x59502))+P1(f330(x59501,f2(a930)))+P1(f330(f330(f240(a930),f909(x59502,x59501)),x59502)) % 242.40/242.48 [5973]E(x59731,f2(a930))+~E(f330(f168(a930),x59732),f2(a930))+~P1(f330(f330(f332(a930),x59731),f330(f175(a930),x59732))) % 242.40/242.48 [6041]E(x60411,x60412)+~P1(f330(f330(f239(a930),x60412),x60411))+~P1(f330(f330(f239(a930),x60411),x60412)) % 242.40/242.48 [6042]E(x60421,x60422)+~P1(f330(f330(f239(a1),x60422),x60421))+~P1(f330(f330(f239(a1),x60421),x60422)) % 242.40/242.48 [6044]E(f330(f37(x60441),x60442),f2(a930))+~P1(f330(f63(x60441),x60442))+P1(f330(f330(f332(x60441),f478(x60442,x60441)),x60442)) % 242.40/242.48 [6053]E(f52(x60531,x60532),f48(x60531,x60532))+P1(f330(f330(f239(a1),f2(a1)),x60531))+~P1(f330(f330(f240(a1),f2(a1)),x60532)) % 242.40/242.48 [6082]~P1(f330(x60821,f416(x60821)))+P1(f330(x60821,f330(a107,x60822)))+~P1(f330(f330(f239(a1),f2(a1)),x60822)) % 242.40/242.48 [6085]P1(f330(f330(f239(a930),x60851),f817(x60852)))+~P1(f330(f63(a930),x60852))+~P1(f330(f330(f332(a930),x60851),x60852)) % 242.40/242.48 [6086]P1(f330(f330(f240(a930),x60861),f802(x60862)))+~P1(f330(f63(a930),x60862))+~P1(f330(f330(f332(a930),x60861),x60862)) % 242.40/242.48 [6117]E(x61171,x61172)+~P1(f330(f330(f240(a930),x61171),f330(a115,x61172)))+P1(f330(f330(f240(a930),x61171),x61172)) % 242.40/242.48 [6149]E(x61491,f330(a115,x61492))+~P1(f330(f330(f239(a930),x61491),f330(a115,x61492)))+P1(f330(f330(f239(a930),x61491),x61492)) % 242.40/242.48 [6165]P1(f330(x61651,f417(x61651)))+~P1(f330(x61651,f330(a107,x61652)))+~P1(f330(f330(f239(a1),f2(a1)),x61652)) % 242.40/242.48 [6180]~P1(f330(x61801,x61802))+~P1(f330(f330(f239(a1),f2(a1)),x61802))+P1(f330(x61801,f330(f103(a1),f381(x61801)))) % 242.40/242.48 [6192]~P91(x61922)+~E(x61921,f2(x61922))+~P1(f330(f330(f240(x61922),f2(x61922)),f330(f77(x61922),x61921))) % 242.40/242.48 [6218]~P64(x62181,x62182)+P42(x62181,f330(f290(x62181,x62181),x62182))+~P1(f330(f63(f936(x62181,x62181)),x62182)) % 242.40/242.48 [6226]~P98(x62261)+E(f330(f103(x62261),f330(f106(a930),x62262)),f330(f106(x62261),x62262))+~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x62262))) % 242.40/242.48 [6230]E(f330(a115,x62301),x62302)+~P1(f330(f330(f240(a930),x62301),x62302))+P1(f330(f330(f240(a930),f330(a115,x62301)),x62302)) % 242.40/242.48 [6246]E(f330(f330(f38(a1),x62461),x62462),f2(a1))+~P1(f330(f330(f239(a1),x62461),f2(a1)))+~P1(f330(f330(f240(a1),x62462),x62461)) % 242.40/242.48 [6256]E(f47(a1,x62561,x62562),x62561)+~P1(f330(f330(f239(a1),x62561),f2(a1)))+~P1(f330(f330(f240(a1),x62562),x62561)) % 242.40/242.48 [6270]E(f49(x62701,x62702),f48(x62701,x62702))+~P1(f330(f330(f239(a1),f2(a1)),x62701))+~P1(f330(f330(f239(a1),f2(a1)),x62702)) % 242.40/242.48 [6280]E(f330(f330(f38(a1),x62801),x62802),f2(a1))+~P1(f330(f330(f239(a1),f2(a1)),x62801))+~P1(f330(f330(f240(a1),x62801),x62802)) % 242.40/242.48 [6292]E(f47(a930,f330(f106(a930),x62921),f330(f106(a930),x62922)),f330(f106(a930),x62921))+P1(f330(a196,f330(f106(a1),x62921)))+~P1(f330(a196,f330(f106(a1),x62922))) % 242.40/242.48 [6294]E(f47(a1,x62941,x62942),x62941)+~P1(f330(f330(f239(a1),f2(a1)),x62941))+~P1(f330(f330(f240(a1),x62941),x62942)) % 242.40/242.48 [6295]E(x62951,x62952)+~P1(f330(f330(f240(a930),x62951),f330(a115,x62952)))+~P1(f330(f330(f239(a930),x62952),x62951)) % 242.40/242.48 [6309]~P81(x63091)+~P1(f330(f330(f239(x63091),x63092),f2(x63091)))+P1(f330(f330(f239(x63091),x63092),f330(f81(x63091),x63092))) % 242.40/242.48 [6310]~P115(x63101)+~P1(f330(f330(f240(x63101),x63102),f2(x63101)))+P1(f330(f330(f240(x63101),x63102),f330(f81(x63101),x63102))) % 242.40/242.48 [6319]~P8(x63191)+E(f330(f330(f66(x63191,x63191,f104(x63191)),f246(x63191)),x63192),f40(x63191,x63192))+~P1(f330(f63(x63191),x63192)) % 242.40/242.48 [6320]~P8(x63201)+E(f330(f330(f66(x63201,x63201,f113(x63201)),f191(x63201)),x63202),f39(x63201,x63202))+~P1(f330(f63(x63201),x63202)) % 242.40/242.48 [6337]~P115(x63371)+~P1(f330(f330(f239(a1),f2(a1)),x63372))+P1(f330(f330(f239(x63371),f2(x63371)),f330(f105(x63371),x63372))) % 242.40/242.48 [6338]~P127(x63381)+~P1(f330(f330(f240(a930),f2(a930)),x63382))+P1(f330(f330(f240(x63381),f2(x63381)),f330(f103(x63381),x63382))) % 242.40/242.48 [6339]~P115(x63391)+~P1(f330(f330(f240(a1),f2(a1)),x63392))+P1(f330(f330(f240(x63391),f2(x63391)),f330(f105(x63391),x63392))) % 242.40/242.48 [6342]~P9(x63422)+~P9(x63421)+E(f330(f313(a930,a1,f103(a1)),f306(a930,f330(a107,x63421),f330(a107,x63422))),f306(a1,x63421,x63422)) % 242.40/242.48 [6348]P1(f330(x63481,x63482))+~P1(f330(f330(f239(a1),f2(a1)),x63482))+~P1(f330(x63481,f330(f103(a1),f382(x63481)))) % 242.40/242.48 [6378]E(f330(f330(f82(a930),f330(f106(a930),x63781)),f330(f106(a930),x63782)),f330(f106(a930),x63781))+P1(f330(f330(f240(a1),x63781),a85))+~P1(f330(f330(f240(a1),x63782),a85)) % 242.40/242.48 [6382]~P115(x63821)+P1(f330(f330(f240(x63821),f2(x63821)),f84(x63821,x63822)))+~P1(f330(f330(f240(x63821),f2(x63821)),x63822)) % 242.40/242.48 [6394]~P83(x63941)+~P1(f330(f330(f239(x63941),x63942),f2(x63941)))+P1(f330(f330(f239(x63941),f2(x63941)),f330(f81(x63941),x63942))) % 242.40/242.48 [6395]~P83(x63951)+~P1(f330(f330(f240(x63951),x63952),f2(x63951)))+P1(f330(f330(f240(x63951),f2(x63951)),f330(f81(x63951),x63952))) % 242.40/242.48 [6398]E(x63981,f246(f937(x63982,a925)))+~E(f330(f37(x63982),x63981),f330(f37(x63982),f246(f937(x63982,a925))))+~P1(f330(f63(x63982),f246(f937(x63982,a925)))) % 242.40/242.48 [6430]~P81(x64301)+P1(f330(f330(f239(x64301),x64302),f2(x64301)))+~P1(f330(f330(f239(x64301),x64302),f330(f81(x64301),x64302))) % 242.40/242.48 [6431]~P115(x64311)+P1(f330(f330(f240(x64311),x64312),f2(x64311)))+~P1(f330(f330(f240(x64311),x64312),f330(f81(x64311),x64312))) % 242.40/242.48 [6440]~P98(x64401)+P1(f330(f330(f332(x64401),f330(f106(x64401),x64402)),f189(x64401)))+~P1(f330(f330(f239(a1),a85),x64402)) % 242.40/242.48 [6469]E(x64691,f2(a930))+~P1(f330(f330(f240(a930),x64691),f330(a115,x64692)))+P1(f330(f330(f240(a930),f635(x64692,x64691)),x64692)) % 242.40/242.48 [6491]~P115(x64911)+~P1(f330(f330(f240(x64911),f2(x64911)),f84(x64911,x64912)))+P1(f330(f330(f240(x64911),f2(x64911)),x64912)) % 242.40/242.48 [6493]~E(f330(f106(a930),x64932),f330(f106(a930),x64931))+P1(f330(f330(f239(a1),f330(f106(a1),x64931)),f2(a1)))+~P1(f330(a196,f330(f106(a1),x64932))) % 242.40/242.48 [6522]E(f330(f255(a1,a1),f52(x65221,x65222)),f330(f330(f38(a1),x65221),x65222))+~P1(f330(f330(f240(a1),x65221),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x65222)) % 242.40/242.48 [6559]E(f330(f260(a1,a1),f52(x65591,x65592)),f47(a1,x65591,x65592))+~P1(f330(f330(f240(a1),x65591),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x65592)) % 242.40/242.48 [6562]~P115(x65622)+~P1(f330(f330(f239(x65622),f2(x65622)),f330(f105(x65622),x65621)))+P1(f330(f330(f239(a1),f2(a1)),x65621)) % 242.40/242.48 [6563]~P127(x65632)+~P1(f330(f330(f240(x65632),f2(x65632)),f330(f103(x65632),x65631)))+P1(f330(f330(f240(a930),f2(a930)),x65631)) % 242.40/242.48 [6564]~P115(x65642)+~P1(f330(f330(f240(x65642),f2(x65642)),f330(f105(x65642),x65641)))+P1(f330(f330(f240(a1),f2(a1)),x65641)) % 242.40/242.48 [6567]E(f330(f255(a1,a1),f49(x65671,x65672)),f330(f330(f38(a1),x65671),x65672))+~P1(f330(f330(f239(a1),f2(a1)),x65672))+~P1(f330(f330(f240(a1),f2(a1)),x65671)) % 242.40/242.48 [6581]E(f330(f260(a1,a1),f49(x65811,x65812)),f47(a1,x65811,x65812))+~P1(f330(f330(f239(a1),f2(a1)),x65812))+~P1(f330(f330(f240(a1),f2(a1)),x65811)) % 242.40/242.48 [6596]~P83(x65961)+P1(f330(f330(f239(x65961),x65962),f2(x65961)))+~P1(f330(f330(f239(x65961),f2(x65961)),f330(f81(x65961),x65962))) % 242.40/242.48 [6597]~P83(x65971)+P1(f330(f330(f240(x65971),x65972),f2(x65971)))+~P1(f330(f330(f240(x65971),f2(x65971)),f330(f81(x65971),x65972))) % 242.40/242.48 [6624]P1(f330(f51(x66241,x66242),f52(x66241,x66242)))+~P1(f330(f330(f240(a1),x66241),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x66242)) % 242.40/242.48 [6650]P1(f330(f51(x66501,x66502),f49(x66501,x66502)))+~P1(f330(f330(f239(a1),f2(a1)),x66501))+~P1(f330(f330(f240(a1),f2(a1)),x66502)) % 242.40/242.48 [6695]~P83(x66951)+P1(f330(f330(f239(x66951),f330(f81(x66951),x66952)),f2(x66951)))+~P1(f330(f330(f239(x66951),f2(x66951)),x66952)) % 242.40/242.48 [6696]~P83(x66961)+P1(f330(f330(f240(x66961),f330(f81(x66961),x66962)),f2(x66961)))+~P1(f330(f330(f240(x66961),f2(x66961)),x66962)) % 242.40/242.48 [6712]E(f330(f330(f23(a930),f330(a107,x67121)),f330(a107,x67122)),f330(a107,f198(x67121,x67122)))+~P1(f330(f330(f239(a1),f2(a1)),x67122))+~P1(f330(f330(f239(a1),f2(a1)),x67121)) % 242.40/242.48 [6730]P1(f330(f330(f239(a1),f2(a1)),f198(x67301,x67302)))+~P1(f330(f330(f239(a1),f2(a1)),x67302))+~P1(f330(f330(f239(a1),f2(a1)),x67301)) % 242.40/242.48 [6769]~P1(f330(x67691,x67692))+P1(f330(x67691,f2(a930)))+P1(f330(x67691,f330(f330(f82(a930),f909(x67692,x67691)),f80(a930)))) % 242.40/242.48 [6853]E(f330(f106(a930),x68531),f330(f106(a930),x68532))+~P1(f330(f330(f239(a1),f330(f106(a1),x68532)),f2(a1)))+~P1(f330(a196,f330(f106(a1),x68531))) % 242.40/242.48 [6863]~E(x68631,f2(a930))+~E(f696(x68632,x68631),f2(a930))+E(f330(f145(a930,a930,f82(a930),x68631),x68632),f2(a930)) % 242.40/242.48 [6887]~P1(f330(f63(x68871),f636(x68872,x68871)))+~P1(f330(f63(f937(x68871,a925)),x68872))+P1(f330(f63(x68871),f39(f937(x68871,a925),x68872))) % 242.40/242.48 [6893]E(x68931,x68932)+P1(f330(f330(f240(a1),x68931),x68932))+~P1(f330(f330(f240(a1),x68931),f330(f330(f82(a1),x68932),f80(a1)))) % 242.40/242.48 [6894]P1(f330(f330(f239(a930),f330(a107,x68941)),f330(a107,x68942)))+~P1(f330(f330(f239(a1),f2(a1)),x68942))+~P1(f330(f330(f239(a1),x68941),x68942)) % 242.40/242.48 [6895]P1(f330(f330(f239(a930),f330(a107,x68951)),f330(a107,x68952)))+~P1(f330(f330(f240(a1),f2(a1)),x68951))+~P1(f330(f330(f239(a1),x68951),x68952)) % 242.40/242.48 [6897]P1(f330(f330(f240(a930),f330(a107,x68971)),f330(a107,x68972)))+~P1(f330(f330(f239(a1),f2(a1)),x68971))+~P1(f330(f330(f240(a1),x68971),x68972)) % 242.40/242.48 [6898]P1(f330(f330(f240(a930),f330(a107,x68981)),f330(a107,x68982)))+~P1(f330(f330(f240(a1),f2(a1)),x68982))+~P1(f330(f330(f240(a1),x68981),x68982)) % 242.40/242.48 [6909]E(f47(a930,f330(a107,x69091),f330(a107,x69092)),f330(a107,f47(a1,x69091,x69092)))+~P1(f330(f330(f239(a1),f2(a1)),x69092))+~P1(f330(f330(f239(a1),f2(a1)),x69091)) % 242.40/242.48 [6932]~P83(x69321)+~P1(f330(f330(f239(x69321),f330(f81(x69321),x69322)),f2(x69321)))+P1(f330(f330(f239(x69321),f2(x69321)),x69322)) % 242.40/242.48 [6933]~P83(x69331)+~P1(f330(f330(f240(x69331),f330(f81(x69331),x69332)),f2(x69331)))+P1(f330(f330(f240(x69331),f2(x69331)),x69332)) % 242.40/242.48 [6947]~P1(f330(f330(f240(a1),a85),x69472))+~P1(f330(f330(f240(a1),x69471),x69472))+P1(f330(f330(f240(a930),f330(f106(a930),x69471)),f330(f106(a930),x69472))) % 242.40/242.48 [7036]~P1(f330(f330(f239(a1),f2(a1)),x70361))+P1(f330(f330(f240(a930),f330(a107,x70361)),x70362))+~P1(f330(f330(f240(a1),x70361),f330(f103(a1),x70362))) % 242.40/242.48 [7041]P1(f330(x70411,x70412))+~P1(f330(x70411,f330(a20,f837(x70411,x70412))))+~P1(f330(f330(f332(a930),x70412),f246(f937(a930,a925)))) % 242.40/242.48 [7052]E(x70521,f2(a1))+E(f47(a1,x70522,x70521),f2(a1))+E(f330(f330(f23(a1),f330(f81(a1),f330(f330(f38(a1),x70522),x70521))),f80(a1)),f330(f330(f38(a1),x70522),f330(f81(a1),x70521))) % 242.40/242.48 [7066]~P1(f330(f330(f239(a1),f2(a1)),x70661))+~P1(f330(f330(f240(a930),f330(a107,x70661)),x70662))+P1(f330(f330(f240(a1),x70661),f330(f103(a1),x70662))) % 242.40/242.48 [7100]~P1(f330(f330(f239(a930),f330(a107,x71001)),f330(a107,x71002)))+~P1(f330(f330(f239(a1),f2(a1)),x71002))+P1(f330(f330(f239(a1),x71001),x71002)) % 242.40/242.48 [7101]~P1(f330(f330(f239(a930),f330(a107,x71011)),f330(a107,x71012)))+~P1(f330(f330(f240(a1),f2(a1)),x71011))+P1(f330(f330(f239(a1),x71011),x71012)) % 242.40/242.48 [7129]P1(f330(f330(f239(a1),x71291),x71292))+~P1(f330(f330(f239(a930),f330(f106(a930),x71291)),f330(f106(a930),x71292)))+P1(f330(f330(f239(a1),x71291),a85)) % 242.40/242.48 [7157]P1(f330(f330(f239(a1),f2(a1)),f47(a1,x71571,x71572)))+~P1(f330(f330(f239(a1),f2(a1)),x71572))+~P1(f330(f330(f239(a1),f2(a1)),x71571)) % 242.40/242.48 [7253]P1(f330(f330(f240(a1),a85),x72531))+~P1(f330(f330(f240(a1),x72532),x72531))+~P1(f330(f330(f240(a930),f330(f106(a930),x72532)),f330(f106(a930),x72531))) % 242.40/242.48 [7306]E(f330(f330(f256(a1,a1),f330(f330(f38(a1),x73061),x73062)),f47(a1,x73061,x73062)),f52(x73061,x73062))+~P1(f330(f330(f240(a1),x73061),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x73062)) % 242.40/242.48 [7326]E(f330(f330(f256(a1,a1),f330(f330(f38(a1),x73261),x73262)),f47(a1,x73261,x73262)),f49(x73261,x73262))+~P1(f330(f330(f239(a1),f2(a1)),x73262))+~P1(f330(f330(f239(a1),f2(a1)),x73261)) % 242.40/242.48 [7378]~P100(x73782)+E(x73781,f116(x73782))+E(f330(f145(x73782,x73782,f83(x73782),f330(f144(x73782),x73781)),f330(f174(x73782),x73781)),f330(f65(x73782,f83(x73782)),f330(f175(x73782),x73781))) % 242.40/242.48 [7497]~E(x74971,f2(a930))+E(f330(f145(a930,a930,f82(a930),x74971),x74972),f2(a930))+P1(f330(f330(f332(a930),f696(x74972,x74971)),f330(f175(a930),x74972))) % 242.40/242.48 [7548]~P1(f330(f330(f239(a1),x75481),f2(a1)))+P1(f330(f330(f239(a1),f330(f330(f38(a1),x75481),x75482)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x75482)) % 242.40/242.48 [7549]~P1(f330(f330(f240(a1),x75492),f2(a1)))+P1(f330(f330(f239(a1),f330(f330(f38(a1),x75491),x75492)),f2(a1)))+~P1(f330(f330(f239(a1),f2(a1)),x75491)) % 242.40/242.48 [7550]~P1(f330(f330(f240(a1),x75502),f2(a1)))+P1(f330(f330(f240(a1),f330(f330(f38(a1),x75501),x75502)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x75501)) % 242.40/242.48 [7552]~P1(f330(f330(f240(a1),x75521),f2(a1)))+P1(f330(f330(f240(a1),f330(f330(f38(a1),x75521),x75522)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x75522)) % 242.40/242.48 [7559]P1(f330(f330(f332(f937(x75591,a925)),f636(x75592,x75591)),x75592))+~P1(f330(f63(f937(x75591,a925)),x75592))+P1(f330(f63(x75591),f39(f937(x75591,a925),x75592))) % 242.40/242.48 [7655]P28(x76551,x76551,x76552,f246(f937(x76551,a925)))+~E(f330(f313(x76551,x76551,x76552),f246(f937(x76551,a925))),f246(f937(x76551,a925)))+~P1(f330(f63(x76551),f246(f937(x76551,a925)))) % 242.40/242.48 [7778]~P28(x77781,x77781,x77782,f246(f937(x77781,a925)))+E(f330(f313(x77781,x77781,x77782),f246(f937(x77781,a925))),f246(f937(x77781,a925)))+~P1(f330(f63(x77781),f246(f937(x77781,a925)))) % 242.40/242.48 [7916]E(f330(f330(f38(a1),x79161),x79162),f330(f106(a1),a100))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x79161),x79162)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x79161)) % 242.40/242.48 [7973]~P1(f330(f330(f240(a1),x79732),f2(a1)))+~P1(f330(f330(f240(a1),f330(f330(f38(a1),x79731),x79732)),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x79731)) % 242.40/242.48 [7978]E(f330(f330(f82(a1),x79781),x79782),f47(a1,x79781,x79782))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),x79781),x79782)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x79781)) % 242.40/242.48 [7981]P1(f330(f330(f240(a1),x79811),f2(a1)))+~P1(f330(f330(f240(a1),f330(f330(f38(a1),x79811),x79812)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x79812)) % 242.40/242.48 [8698]~P112(x86981)+P16(x86981,x86982)+~P1(f330(f330(f239(x86981),f330(f330(f167(x86981),x86982),f729(x86982,x86981))),f330(f330(f167(x86981),x86982),f730(x86982,x86981)))) % 242.40/242.48 [8699]~P112(x86991)+P16(x86991,x86992)+~P1(f330(f330(f239(x86991),f330(f330(f167(x86991),x86992),f737(x86992,x86991))),f330(f330(f167(x86991),x86992),f741(x86992,x86991)))) % 242.40/242.48 [5916]E(x59161,f2(a1))+~E(f47(a1,x59162,x59161),f2(a1))+E(f330(f330(f38(a1),x59162),f330(f81(a1),x59161)),f330(f81(a1),f330(f330(f38(a1),x59162),x59161))) % 242.40/242.48 [5934]~P45(x59342)+~P45(x59341)+P45(f330(f330(f113(f937(a1,a925)),x59341),x59342)) % 242.40/242.48 [5935]~P45(x59352)+~P45(x59351)+P45(f330(f330(f104(f937(a1,a925)),x59351),x59352)) % 242.40/242.48 [5953]~P70(x59531)+~P98(x59531)+E(f330(f81(x59531),f330(f330(f293(x59531),f80(x59531)),x59532)),f330(f330(f293(x59531),f330(f106(x59531),a100)),x59532)) % 242.40/242.48 [6074]E(x60741,f2(a1))+~E(f47(a1,x60742,x60741),f2(a1))+E(f330(f330(f38(a1),f330(f81(a1),x60742)),x60741),f330(f81(a1),f330(f330(f38(a1),x60742),x60741))) % 242.40/242.48 [6212]~P112(x62121)+P16(x62121,x62122)+P1(f330(f330(f240(a930),f730(x62122,x62121)),f330(f192(f931(x62121)),x62122))) % 242.40/242.48 [6213]~P112(x62131)+P16(x62131,x62132)+P1(f330(f330(f240(a930),f741(x62132,x62131)),f330(f192(f931(x62131)),x62132))) % 242.40/242.48 [6372]~P98(x63721)+~E(f330(f106(x63721),x63722),f2(x63721))+P33(x63721,f330(f106(x63721),f330(f330(f82(a1),x63722),f330(f81(a1),a85)))) % 242.40/242.48 [6373]~P98(x63731)+~E(f330(f106(x63731),x63732),f2(x63731))+P33(x63731,f330(f106(x63731),f330(f330(f82(a1),a85),f330(f81(a1),x63732)))) % 242.40/242.48 [6375]E(f330(a53,f49(f330(f81(a1),x63751),f330(f81(a1),x63752))),f48(x63751,x63752))+P1(f330(f330(f239(a1),f2(a1)),x63751))+P1(f330(f330(f240(a1),f2(a1)),x63752)) % 242.40/242.48 [6499]~E(x64992,f2(a930))+~E(x64991,f2(a930))+P1(f330(f330(f239(a1),f330(f103(a1),x64991)),f330(f81(a1),f330(f103(a1),x64992)))) % 242.40/242.48 [6528]E(f330(f330(f82(a930),f330(f106(a930),x65281)),f330(f106(a930),x65282)),f330(f106(a930),f330(f330(f82(a1),x65281),x65282)))+P1(f330(f330(f240(a1),x65281),a85))+P1(f330(f330(f240(a1),x65282),a85)) % 242.40/242.48 [6660]~P81(x66601)+~P1(f330(f330(f239(x66601),f2(x66601)),x66602))+P1(f330(f330(f239(x66601),f330(f81(x66601),x66602)),x66602)) % 242.40/242.48 [6661]~P81(x66611)+~P1(f330(f330(f240(x66611),f2(x66611)),x66612))+P1(f330(f330(f240(x66611),f330(f81(x66611),x66612)),x66612)) % 242.40/242.48 [6839]E(f330(f330(f23(a930),f330(a107,x68391)),f330(a107,x68392)),f330(a107,f330(f330(f23(a1),x68391),x68392)))+~P1(f330(f330(f239(a1),f2(a1)),x68392))+~P1(f330(f330(f239(a1),x68392),x68391)) % 242.40/242.48 [6871]E(f330(a107,f47(a1,f330(f106(a1),x68711),f330(f106(a1),x68712))),f47(a930,f330(f106(a930),x68711),f330(f106(a930),x68712)))+P1(f330(a196,f330(f106(a1),x68711)))+P1(f330(a196,f330(f106(a1),x68712))) % 242.40/242.48 [6888]~P81(x68881)+P1(f330(f330(f239(x68881),f2(x68881)),x68882))+~P1(f330(f330(f239(x68881),f330(f81(x68881),x68882)),x68882)) % 242.40/242.48 [6889]~P81(x68891)+P1(f330(f330(f240(x68891),f2(x68891)),x68892))+~P1(f330(f330(f240(x68891),f330(f81(x68891),x68892)),x68892)) % 242.40/242.48 [6900]~P81(x69001)+~P1(f330(f330(f239(x69001),f2(x69001)),x69002))+P1(f330(f330(f239(x69001),f2(x69001)),f330(f330(f82(x69001),x69002),x69002))) % 242.40/242.48 [6903]~P81(x69031)+~P1(f330(f330(f240(x69031),f2(x69031)),x69032))+P1(f330(f330(f240(x69031),f2(x69031)),f330(f330(f82(x69031),x69032),x69032))) % 242.40/242.48 [6914]E(f330(f330(f82(a930),f330(a107,x69141)),f330(a107,x69142)),f330(a107,f330(f330(f82(a1),x69141),x69142)))+~P1(f330(f330(f239(a1),f2(a1)),x69142))+~P1(f330(f330(f239(a1),f2(a1)),x69141)) % 242.40/242.48 [6926]E(x69261,f2(a930))+P1(f330(f330(f240(a930),f2(a930)),x69262))+~P1(f330(f330(f240(a930),f2(a930)),f330(f330(f248(a930),x69262),x69261))) % 242.40/242.48 [6957]~P98(x69571)+E(f330(f106(x69571),x69572),f2(x69571))+~P33(x69571,f330(f106(x69571),f330(f330(f82(a1),a85),f330(f81(a1),x69572)))) % 242.40/242.48 [6958]~P98(x69581)+E(f330(f106(x69581),x69582),f2(x69581))+~P33(x69581,f330(f106(x69581),f330(f330(f82(a1),x69582),f330(f81(a1),a85)))) % 242.40/242.48 [7014]~P1(f330(f63(x70141),x70142))+~P1(f330(f63(x70141),f246(f937(x70141,a925))))+P1(f330(f63(x70141),f330(f81(f937(x70141,a925)),x70142))) % 242.40/242.48 [7037]~P1(f330(f330(f240(a1),f2(a1)),x70372))+~P1(f330(f330(f239(a1),x70372),x70371))+P1(f330(f330(f240(a1),f2(a1)),f330(f330(f38(a1),x70371),x70372))) % 242.40/242.48 [7038]~P1(f330(f330(f239(a1),x70381),f2(a1)))+~P1(f330(f330(f240(a1),x70382),f2(a1)))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f38(a1),x70381),x70382))) % 242.40/242.48 [7074]~P1(f330(f330(f239(a1),f2(a1)),x70742))+~P1(f330(f330(f239(a1),f2(a1)),x70741))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),x70741),x70742))) % 242.40/242.48 [7075]~P1(f330(f330(f239(a1),f2(a1)),x70752))+~P1(f330(f330(f239(a1),f2(a1)),x70751))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f83(a1),x70751),x70752))) % 242.40/242.48 [7076]~P1(f330(f330(f239(a1),f2(a1)),x70762))+~P1(f330(f330(f239(a1),f2(a1)),x70761))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f38(a1),x70761),x70762))) % 242.40/242.48 [7077]~P1(f330(f330(f239(a1),f2(a1)),x70771))+~P1(f330(f330(f240(a1),f2(a1)),x70772))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f38(a1),x70771),x70772))) % 242.40/242.48 [7078]~P1(f330(f330(f240(a930),f2(a930)),x70782))+~P1(f330(f330(f240(a930),f2(a930)),x70781))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f83(a930),x70781),x70782))) % 242.40/242.48 [7142]E(x71421,f2(a1))+E(f47(a1,x71422,x71421),f2(a1))+E(f330(f330(f23(a1),f330(f81(a1),f330(f330(f38(a1),x71422),x71421))),f80(a1)),f330(f330(f38(a1),f330(f81(a1),x71422)),x71421)) % 242.40/242.48 [7199]P1(f330(f330(f240(a930),f2(a930)),x71991))+P1(f330(f330(f240(a930),f2(a930)),x71992))+~P1(f330(f330(f240(a930),f2(a930)),f330(f330(f82(a930),x71992),x71991))) % 242.40/242.48 [7203]~P81(x72031)+P1(f330(f330(f239(x72031),f2(x72031)),x72032))+~P1(f330(f330(f239(x72031),f2(x72031)),f330(f330(f82(x72031),x72032),x72032))) % 242.40/242.48 [7204]~P81(x72041)+P1(f330(f330(f240(x72041),f2(x72041)),x72042))+~P1(f330(f330(f240(x72041),f2(x72041)),f330(f330(f82(x72041),x72042),x72042))) % 242.40/242.48 [7254]~P1(f330(f63(x72541),x72542))+P1(f330(f63(x72541),f246(f937(x72541,a925))))+~P1(f330(f63(x72541),f330(f81(f937(x72541,a925)),x72542))) % 242.40/242.48 [7318]P1(f330(f330(f239(a1),x73181),f2(a1)))+~P1(f330(f330(f240(a1),x73182),f2(a1)))+~P1(f330(f330(f239(a1),f2(a1)),f330(f330(f38(a1),x73181),x73182))) % 242.40/242.48 [7324]~P1(f330(f330(f240(a1),f2(a1)),x73241))+P1(f330(f330(f239(a1),x73241),x73242))+~P1(f330(f330(f240(a1),f2(a1)),f330(f330(f38(a1),x73242),x73241))) % 242.40/242.48 [7325]~P1(f330(f330(f239(a1),f2(a1)),x73252))+P1(f330(f330(f239(a1),x73251),x73252))+~P1(f330(f330(f240(a1),f2(a1)),f330(f330(f38(a1),x73252),x73251))) % 242.40/242.48 [7355]P1(f330(f330(f239(a1),f2(a1)),x73551))+~P1(f330(f330(f240(a1),f2(a1)),x73552))+~P1(f330(f330(f239(a1),f2(a1)),f330(f330(f38(a1),x73551),x73552))) % 242.40/242.48 [7356]P1(f330(f330(f240(a1),f2(a1)),x73561))+~P1(f330(f330(f239(a1),f2(a1)),x73562))+~P1(f330(f330(f240(a1),f2(a1)),f330(f330(f38(a1),x73562),x73561))) % 242.40/242.48 [7809]~P1(f330(f63(x78092),f246(f937(x78092,a925))))+~P1(f330(f63(x78091),f246(f937(x78091,a925))))+P1(f330(f63(f936(x78091,x78092)),f246(f937(f936(x78091,x78092),a925)))) % 242.40/242.48 [7810]~P1(f330(f63(x78102),f246(f937(x78102,a925))))+~P1(f330(f63(x78101),f246(f937(x78101,a925))))+P1(f330(f63(f938(x78101,x78102)),f246(f937(f938(x78101,x78102),a925)))) % 242.40/242.48 [7881]~P1(f330(f330(f240(a930),f330(a115,f2(a930))),x78811))+~P1(f330(f330(f240(a930),f330(a115,f2(a930))),x78812))+P1(f330(f330(f240(a930),x78811),f330(f330(f83(a930),x78812),x78811))) % 242.40/242.48 [7882]~P1(f330(f330(f240(a930),f330(a115,f2(a930))),x78821))+~P1(f330(f330(f240(a930),f330(a115,f2(a930))),x78822))+P1(f330(f330(f240(a930),x78821),f330(f330(f83(a930),x78821),x78822))) % 242.40/242.48 [7915]E(f330(f37(x79151),f246(f937(x79151,a925))),f330(a115,f2(a930)))+P1(f330(f63(x79152),f246(f937(x79152,a925))))+~P1(f330(f63(f937(x79152,x79151)),f246(f937(f937(x79152,x79151),a925)))) % 242.40/242.48 [8044]~P1(f330(f330(f239(a930),f330(a115,f2(a930))),x80441))+~P1(f330(f330(f239(a930),f330(a115,f2(a930))),x80442))+P1(f330(f330(f239(a930),f330(a115,f2(a930))),f330(f330(f83(a930),x80441),x80442))) % 242.40/242.48 [8045]~P1(f330(f330(f240(a930),f330(a115,f2(a930))),x80452))+~P1(f330(f330(f240(a930),f330(a115,f2(a930))),x80451))+P1(f330(f330(f240(a930),f330(a115,f2(a930))),f330(f330(f83(a930),x80451),x80452))) % 242.40/242.48 [8751]E(x87511,f116(x87512))+~P1(f330(f140(x87512),x87511))+E(f180(x87512,f330(f330(f8(a925,a925,x87512),a325),f330(f330(f7(x87512,x87512,a925),a327),f147(x87512,x87511))),x87511),f117(x87512,x87511)) % 242.40/242.48 [8848]~P45(x88482)+~P45(x88481)+E(f330(f313(a930,a1,f103(a1)),f330(f330(f113(f937(a930,a925)),f330(f313(a1,a930,a107),x88481)),f330(f313(a1,a930,a107),x88482))),f330(f330(f113(f937(a1,a925)),x88481),x88482)) % 242.40/242.48 [8849]~P45(x88492)+~P45(x88491)+E(f330(f313(a930,a1,f103(a1)),f330(f330(f104(f937(a930,a925)),f330(f313(a1,a930,a107),x88491)),f330(f313(a1,a930,a107),x88492))),f330(f330(f104(f937(a1,a925)),x88491),x88492)) % 242.40/242.48 [9527]~P98(x95271)+~E(f330(f106(x95271),x95272),f80(x95271))+P33(x95271,f330(f106(x95271),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f81(a1),x95272)))) % 242.40/242.48 [9768]~P98(x97681)+E(f330(f106(x97681),x97682),f80(x97681))+~P33(x97681,f330(f106(x97681),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f81(a1),x97682)))) % 242.40/242.48 [10511]E(x105111,f2(a1))+E(x105112,f2(a1))+E(f330(f262(a1,a1,a1,a1,f33(a1),f330(f83(a1),f84(a1,x105112))),f330(f330(f330(f99(f936(a1,a1)),f330(f330(a327,f84(a1,x105111)),f84(a1,x105112))),f55(x105111,x105112)),f330(f330(f261(a1,a1,f936(a1,a1)),f330(f330(f18(a1,f937(a1,f936(a1,a1)),f937(a1,f936(a1,a1))),f330(f330(f8(f937(a1,f937(f936(a1,a1),f936(a1,a1))),f937(f937(a1,f936(a1,a1)),f937(a1,f936(a1,a1))),a1),f18(a1,f936(a1,a1),f936(a1,a1))),f330(f330(f8(f936(a1,a1),f937(a1,f937(f936(a1,a1),f936(a1,a1))),a1),f330(f7(a1,f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),f330(f330(f8(a925,f937(f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),a1),f99(f936(a1,a1))),f330(f330(f7(a1,a1,a925),a327),f2(a1))))),f330(f330(f7(a1,a1,f936(a1,a1)),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f81(a1))),f2(a1))))),f330(f330(f7(a1,f937(a1,a1),f937(a1,f936(a1,a1))),f330(f330(f8(f937(a1,f936(a1,a1)),f937(f937(a1,a1),f937(a1,f936(a1,a1))),a1),f8(a1,f936(a1,a1),a1)),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f330(f330(f7(a1,a1,a1),f330(f330(f8(a1,f937(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f330(f23(a1),f330(f77(a1),x105112))))),f55(x105111,x105112)))),f48(x105111,x105112)) % 242.40/242.48 [10512]E(x105121,f2(a1))+E(x105122,f2(a1))+E(f330(f262(a1,a1,a1,a1,f33(a1),f330(f83(a1),f84(a1,x105122))),f330(f330(f330(f99(f936(a1,a1)),f330(f330(a329,f330(f330(a328,f330(f330(f240(a1),f2(a1)),x105122)),f330(f330(f239(a1),f2(a1)),x105121))),f330(f330(a328,f330(f330(f240(a1),x105122),f2(a1))),f330(f330(f240(a1),x105121),f2(a1))))),f55(x105121,x105122)),f330(f330(f261(a1,a1,f936(a1,a1)),f330(f330(f18(a1,f937(a1,f936(a1,a1)),f937(a1,f936(a1,a1))),f330(f330(f8(f937(a1,f937(f936(a1,a1),f936(a1,a1))),f937(f937(a1,f936(a1,a1)),f937(a1,f936(a1,a1))),a1),f18(a1,f936(a1,a1),f936(a1,a1))),f330(f330(f8(f936(a1,a1),f937(a1,f937(f936(a1,a1),f936(a1,a1))),a1),f330(f7(a1,f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),f330(f330(f8(a925,f937(f936(a1,a1),f937(f936(a1,a1),f936(a1,a1))),a1),f99(f936(a1,a1))),f330(f330(f7(a1,a1,a925),a327),f2(a1))))),f330(f330(f7(a1,a1,f936(a1,a1)),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f81(a1))),f2(a1))))),f330(f330(f7(a1,f937(a1,a1),f937(a1,f936(a1,a1))),f330(f330(f8(f937(a1,f936(a1,a1)),f937(f937(a1,a1),f937(a1,f936(a1,a1))),a1),f8(a1,f936(a1,a1),a1)),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f330(f330(f7(a1,a1,a1),f330(f330(f8(a1,f937(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f330(f23(a1),f330(f77(a1),x105122))))),f55(x105121,x105122)))),f48(x105121,x105122)) % 242.40/242.48 [5942]~P115(x59421)+~P98(x59421)+E(f330(f77(x59421),f330(f330(f248(x59421),f330(f106(x59421),a100)),x59422)),f80(x59421)) % 242.40/242.48 [6441]~P142(x64411)+~P1(f330(f330(f240(a1),x64412),f2(a1)))+E(f330(f81(x64411),f330(f103(x64411),f330(a107,f330(f81(a1),x64412)))),f330(f105(x64411),x64412)) % 242.40/242.48 [6643]P1(f330(f330(f239(a102),x66431),f80(a102)))+E(f330(f330(f82(a102),f80(a102)),f276(x66431,f330(f330(f38(a102),x66432),x66431))),f276(x66431,x66432))+P1(f330(f330(f240(a102),x66432),x66431)) % 242.40/242.48 [7243]~P97(x72431)+~P1(f330(f330(f332(x72431),x72432),f112(x72431)))+~E(f330(f330(f82(x72431),f330(f330(f82(x72431),f80(x72431)),x72432)),x72432),f2(x72431)) % 242.40/242.48 [7357]~P1(f330(f330(f239(a1),x73572),f2(a1)))+~P1(f330(f330(f240(a1),x73571),f2(a1)))+E(f330(f255(a1,a1),f330(a53,f49(f330(f81(a1),x73571),f330(f81(a1),x73572)))),f330(f330(f38(a1),x73571),x73572)) % 242.40/242.48 [7374]~P1(f330(f330(f239(a1),x73742),f2(a1)))+~P1(f330(f330(f240(a1),x73741),f2(a1)))+E(f330(f260(a1,a1),f330(a53,f49(f330(f81(a1),x73741),f330(f81(a1),x73742)))),f47(a1,x73741,x73742)) % 242.40/242.48 [7380]~P1(f330(f330(f240(a1),x73802),f2(a1)))+E(f330(f255(a1,a1),f330(a53,f52(f330(f81(a1),x73801),f330(f81(a1),x73802)))),f330(f330(f38(a1),x73801),x73802))+~P1(f330(f330(f240(a1),f2(a1)),x73801)) % 242.40/242.48 [7398]~P1(f330(f330(f240(a1),x73982),f2(a1)))+E(f330(f260(a1,a1),f330(a53,f52(f330(f81(a1),x73981),f330(f81(a1),x73982)))),f47(a1,x73981,x73982))+~P1(f330(f330(f240(a1),f2(a1)),x73981)) % 242.40/242.48 [7450]E(f330(f330(f38(a1),f330(f330(f248(a1),x74501),x74502)),x74501),f330(f330(f248(a1),x74501),f330(f330(f23(a930),x74502),f330(a115,f2(a930)))))+~P1(f330(f330(f240(a930),f2(a930)),x74502))+~P1(f330(f330(f240(a1),f2(a1)),x74501)) % 242.40/242.48 [7556]~P1(f330(f330(f240(a930),f2(a930)),x75561))+~P1(f330(f330(f240(a930),f2(a930)),x75562))+P1(f330(f330(f240(a930),f330(f330(f23(a930),x75561),x75562)),x75561)) % 242.40/242.48 [7557]~P1(f330(f330(f240(a930),f2(a930)),x75571))+~P1(f330(f330(f240(a930),f80(a930)),x75572))+P1(f330(f330(f240(a930),f330(f330(f38(a930),x75571),x75572)),x75571)) % 242.40/242.48 [7558]~P1(f330(f330(f240(a1),f2(a1)),x75581))+~P1(f330(f330(f240(a1),f80(a1)),x75582))+P1(f330(f330(f240(a1),f330(f330(f38(a1),x75581),x75582)),x75581)) % 242.40/242.48 [7705]E(x77051,f2(a930))+~E(x77052,f2(a1))+~P1(f330(f330(f240(a1),f2(a1)),f330(f330(f248(a1),f330(f77(a1),x77052)),x77051))) % 242.40/242.48 [8126]~E(x81262,f116(f931(x81261)))+E(f330(f192(f931(f931(x81261))),f182(x81261,x81262)),f2(a930))+~P16(a930,f330(f171(a930),f330(f330(f157(f931(x81261),a930),f192(f931(x81261))),x81262))) % 242.40/242.48 [8387]P1(f330(x83871,x83872))+~P1(f330(x83871,f330(a110,f560(x83871,x83872))))+~P1(f330(f330(f332(f937(f936(a930,a930),a925)),x83872),a101)) % 242.40/242.48 [8403]E(x84031,f116(f931(x84032)))+E(f330(f192(f931(x84032)),f330(f330(f167(f931(x84032)),x84031),f2(a930))),f330(f192(f931(f931(x84032))),f182(x84032,x84031)))+~P16(a930,f330(f171(a930),f330(f330(f157(f931(x84032),a930),f192(f931(x84032))),x84031))) % 242.40/242.48 [8547]~P43(x85471,x85472)+~P44(x85471,x85472)+P43(x85471,f330(f330(f23(f937(f936(x85471,x85471),a925)),x85472),f310(x85471,f191(f937(f936(x85471,x85471),a925))))) % 242.40/242.48 [9133]~P1(f330(f63(x91331),f330(f266(x91331),x91332)))+~P1(f330(f63(x91331),f246(f937(x91331,a925))))+P1(f330(f63(x91331),f330(f266(x91331),f330(f330(f8(a925,a925,x91331),a325),x91332)))) % 242.40/242.48 [9202]E(f330(f330(f256(a930,a930),f330(a115,f330(f330(f38(a930),f330(f330(f23(a930),x92021),x92022)),x92022))),f47(a930,f330(f330(f23(a930),x92021),x92022),x92022)),f87(f936(a930,a930),f50(x92021,x92022)))+~P1(f330(f330(f240(a930),f2(a930)),x92022))+~P1(f330(f330(f239(a930),x92022),x92021)) % 242.40/242.48 [9493]~P1(f330(f63(x94931),f330(f266(x94931),x94932)))+P1(f330(f63(x94931),f246(f937(x94931,a925))))+~P1(f330(f63(x94931),f330(f266(x94931),f330(f330(f8(a925,a925,x94931),a325),x94932)))) % 242.40/242.48 [10207]P30(x102071,x102072)+~P42(x102071,f330(f255(f937(f936(x102071,x102071),a925),f937(f936(x102071,x102071),a925)),x102072))+~P1(f330(f330(f239(f937(f936(x102071,x102071),a925)),f330(f330(f292(x102071,x102071,x102071),f330(f255(f937(f936(x102071,x102071),a925),f937(f936(x102071,x102071),a925)),x102072)),f330(f260(f937(f936(x102071,x102071),a925),f937(f936(x102071,x102071),a925)),x102072))),f330(f255(f937(f936(x102071,x102071),a925),f937(f936(x102071,x102071),a925)),x102072))) % 242.40/242.48 [7480]~P1(f330(f330(f240(a930),f2(a930)),x74802))+P1(f330(f330(f240(a930),x74801),x74802))+E(f330(a115,f330(f330(f38(a930),f330(f330(f23(a930),x74801),x74802)),x74802)),f330(f330(f38(a930),x74801),x74802)) % 242.40/242.48 [7624]~P1(f330(f330(f240(a930),f2(a930)),x76242))+~P1(f330(f330(f239(a930),x76242),x76241))+E(f330(a115,f330(f330(f38(a930),f330(f330(f23(a930),x76241),x76242)),x76242)),f330(f330(f38(a930),x76241),x76242)) % 242.40/242.48 [8612]~P98(x86121)+~P97(x86121)+~P33(x86121,f330(f106(x86121),f330(f330(f23(a1),f330(f330(f82(a1),x86122),x86122)),a100))) % 242.40/242.48 [9396]E(x93961,f2(a930))+E(f330(f330(f261(a930,a930,f936(a930,a930)),f330(f330(f8(a930,f937(a930,f936(a930,a930)),a930),f256(a930,a930)),a115)),f87(f936(a930,a930),f50(f330(f330(f23(a930),x93962),x93961),x93961))),f87(f936(a930,a930),f50(x93962,x93961)))+P1(f330(f330(f240(a930),x93962),x93961)) % 242.40/242.48 [9579]~P43(x95791,x95792)+~P58(x95791,x95792)+P1(f330(f330(f239(f937(f936(x95791,x95791),a925)),f330(f330(f292(x95791,x95791,x95791),f330(f290(x95791,x95791),x95792)),x95792)),x95792)) % 242.40/242.48 [9832]P1(f330(x98322,f658(x98322,x98321)))+P1(f330(x98321,f658(x98322,x98321)))+E(f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x98321)),f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x98322))) % 242.40/242.48 [9836]~P1(f330(x98362,f658(x98362,x98361)))+~P1(f330(x98361,f658(x98362,x98361)))+E(f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x98361)),f330(f266(a1),f330(f330(f18(a1,a925,a925),f330(f330(f8(a925,f937(a925,a925),a1),a328),f330(f239(a1),f2(a1)))),x98362))) % 242.40/242.48 [7838]~P71(x78381)+~P98(x78381)+E(f330(f330(f293(x78381),x78382),f330(f106(x78381),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))),x78382) % 242.40/242.48 [9526]~P98(x95261)+~E(f330(f106(x95261),x95262),f80(x95261))+P33(x95261,f330(f106(x95261),f330(f330(f82(a1),x95262),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.48 [9709]~P144(x97091)+~E(x97092,f2(x97091))+E(f330(f330(f248(x97091),x97092),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f2(x97091)) % 242.40/242.48 [9710]~P144(x97101)+~E(x97102,f80(x97101))+E(f330(f330(f248(x97101),x97102),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x97101)) % 242.40/242.48 [9725]~P144(x97251)+~E(x97252,f330(f81(x97251),f80(x97251)))+E(f330(f330(f248(x97251),x97252),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x97251)) % 242.40/242.48 [9769]~P98(x97691)+E(f330(f106(x97691),x97692),f80(x97691))+~P33(x97691,f330(f106(x97691),f330(f330(f82(a1),x97692),f330(f81(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.48 [10150]~P115(x101502)+E(x101501,f2(x101502))+P1(f330(f330(f240(x101502),f2(x101502)),f330(f330(f248(x101502),x101501),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.48 [10206]~P115(x102062)+~E(x102061,f2(x102062))+~P1(f330(f330(f240(x102062),f2(x102062)),f330(f330(f248(x102062),x102061),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.48 [10231]P1(f330(f330(f239(a1),x102311),f2(a1)))+P1(f330(f330(f240(a1),x102312),x102311))+E(f330(f45(x102311),f49(x102312,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102311))),f49(x102312,x102311)) % 242.40/242.48 [10232]~P1(f330(f330(f240(a1),f2(a1)),x102321))+P1(f330(f330(f240(a1),x102322),x102321))+E(f330(f45(x102321),f49(x102322,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102321))),f49(x102322,x102321)) % 242.40/242.48 [10233]P1(f330(f330(f239(a1),x102331),f2(a1)))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),x102332),x102331)))+E(f330(f45(x102331),f52(x102332,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102331))),f52(x102332,x102331)) % 242.40/242.48 [10234]~P1(f330(f330(f240(a1),f2(a1)),x102341))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),x102342),x102341)))+E(f330(f45(x102341),f52(x102342,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102341))),f52(x102342,x102341)) % 242.40/242.48 [10235]~P147(x102351)+~P1(f330(f330(f239(a1),f2(a1)),x102352))+E(f330(f103(x102351),f330(a107,f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x102352))),f330(f330(f82(x102351),f330(f103(x102351),f330(a107,x102352))),f330(f103(x102351),f330(a107,x102352)))) % 242.40/242.48 [5279]~P149(x52791,x52792,x52793)+~E(x52793,f2(a1))+P1(f330(x52791,x52792)) % 242.40/242.48 [5402]~P112(x54021)+~P16(x54021,x54023)+P16(x54021,f173(x54021,x54022,x54023)) % 242.40/242.48 [5403]~P112(x54031)+~P16(x54031,x54033)+P16(x54031,f180(x54031,x54032,x54033)) % 242.40/242.48 [4973]~P5(x49732)+~E(x49733,f330(f81(x49732),x49731))+E(x49731,f330(f81(x49732),x49733)) % 242.40/242.48 [4975]~P5(x49751)+~E(f330(f81(x49751),x49753),x49752)+E(f330(f81(x49751),x49752),x49753) % 242.40/242.48 [5054]~P5(x50543)+E(x50541,x50542)+~E(f330(f81(x50543),x50541),f330(f81(x50543),x50542)) % 242.40/242.48 [5055]~P96(x50553)+E(x50551,x50552)+~E(f330(f81(x50553),x50551),f330(f81(x50553),x50552)) % 242.40/242.48 [5056]~P112(x50563)+E(x50561,x50562)+~E(f330(f286(x50563),x50561),f330(f286(x50563),x50562)) % 242.40/242.48 [5057]~P107(x50573)+E(x50571,x50572)+~E(f330(f103(x50573),x50571),f330(f103(x50573),x50572)) % 242.40/242.48 [5058]~P112(x50583)+E(x50581,x50582)+~E(f330(f304(x50583),x50581),f330(f304(x50583),x50582)) % 242.40/242.48 [5059]~P112(x50593)+E(x50591,x50592)+~E(f330(f307(x50593),x50591),f330(f307(x50593),x50592)) % 242.40/242.48 [5060]~P97(x50603)+E(x50601,x50602)+~E(f330(f105(x50603),x50601),f330(f105(x50603),x50602)) % 242.40/242.48 [5061]~P112(x50613)+E(x50611,x50612)+~E(f330(f287(x50613),x50611),f330(f287(x50613),x50612)) % 242.40/242.48 [5163]~P69(x51631)+~P1(f330(x51632,x51633))+P1(f330(f58(x51631),x51632)) % 242.40/242.48 [5199]~P69(x51993)+P1(f330(x51991,x51992))+~P1(f330(f59(x51993),x51991)) % 242.40/242.48 [5298]~P150(x52981,x52983,x52982)+~E(x52982,f2(a1))+P1(f330(x52981,f2(a1))) % 242.40/242.48 [5337]~E(x53371,f2(a930))+E(f838(x53371,x53372,x53373),f191(f937(x53373,a925)))+~E(f330(f37(x53373),x53372),f330(a115,x53371)) % 242.40/242.48 [5485]~E(x54852,f2(a930))+E(f330(f255(a930,a930),x54851),f2(a930))+~P1(f330(f50(x54853,x54852),x54851)) % 242.40/242.48 [5529]P1(f330(x55291,x55292))+~E(x55293,f330(f103(a1),x55292))+~P1(f330(x55291,f330(a107,x55293))) % 242.40/242.48 [6006]~E(x60063,f2(a930))+~P1(f330(x60061,x60062))+P1(f330(x60061,f47(a930,x60062,x60063))) % 242.40/242.48 [6241]~P108(x62412)+~P108(x62411)+E(f134(x62411,x62412,f135(x62411,x62413),f135(x62412,x62413)),f135(f936(x62411,x62412),x62413)) % 242.40/242.48 [6423]~E(x64233,f2(a930))+P1(f330(x64231,x64232))+~P1(f330(x64231,f47(a930,x64232,x64233))) % 242.40/242.48 [7099]E(x70991,f2(a930))+~P1(f330(x70992,f480(x70991,x70993,x70992)))+P1(f330(x70992,f47(a930,x70993,x70991))) % 242.40/242.48 [7209]~P8(x72091)+~P1(f330(f330(f239(x72091),x72092),f630(x72093,x72092,x72091)))+P1(f330(f330(f239(x72091),x72092),f40(x72091,x72093))) % 242.40/242.48 [7211]~P1(f330(x72111,x72112))+~P1(f330(x72111,f480(x72113,x72112,x72111)))+P1(f330(x72111,f47(a930,x72112,x72113))) % 242.40/242.48 [7312]E(x73121,f116(x73122))+E(f330(f330(f154(x73122),f710(x73123,x73121,x73122)),f713(x73123,x73121,x73122)),x73121)+~P1(f330(f330(f332(f931(x73122)),x73121),f164(x73122,x73123))) % 242.40/242.48 [7343]~P142(x73431)+~P1(f330(f330(f332(x73431),x73432),f112(x73431)))+P1(f330(f330(f332(x73431),f330(f330(f248(x73431),x73432),x73433)),f112(x73431))) % 242.40/242.48 [7673]P42(x76731,x76732)+~P1(f330(f330(f332(x76731),x76733),f647(x76732,x76731)))+P1(f330(f330(f332(x76731),f656(x76732,x76731,x76733)),f647(x76732,x76731))) % 242.40/242.48 [7942]E(x79421,f116(x79422))+~P1(f330(f330(f332(f931(x79422)),x79421),f164(x79422,x79423)))+P1(f330(f330(f332(f931(x79422)),f713(x79423,x79421,x79422)),f164(x79422,x79423))) % 242.40/242.48 [7995]E(x79951,f2(a930))+E(f330(f330(f82(a930),f330(f330(f83(a930),x79951),f481(x79951,x79952,x79953))),f480(x79951,x79952,x79953)),x79952)+P1(f330(x79953,f47(a930,x79952,x79951))) % 242.40/242.48 [8038]~P1(f330(x80383,x80382))+E(f330(f330(f82(a930),f330(f330(f83(a930),x80381),f481(x80381,x80382,x80383))),f480(x80381,x80382,x80383)),x80382)+P1(f330(x80383,f47(a930,x80382,x80381))) % 242.40/242.48 [8182]P1(f330(f330(f240(a1),x81821),f473(x81822,x81823,x81821)))+P1(f330(f330(x81823,f330(f330(f38(a1),x81822),x81821)),f47(a1,x81822,x81821)))+~P1(f330(f330(f240(a1),x81821),f2(a1))) % 242.40/242.48 [8459]P1(f330(f330(x84592,f330(f330(f38(a1),x84591),x84593)),f47(a1,x84591,x84593)))+~P1(f330(f330(f240(a1),x84593),f2(a1)))+P1(f330(f330(f239(a1),f473(x84591,x84592,x84593)),f2(a1))) % 242.40/242.48 [8648]E(f330(f330(f82(a1),f330(f330(f83(a1),x86481),f474(x86482,x86483,x86481))),f473(x86482,x86483,x86481)),x86482)+P1(f330(f330(x86483,f330(f330(f38(a1),x86482),x86481)),f47(a1,x86482,x86481)))+~P1(f330(f330(f240(a1),x86481),f2(a1))) % 242.40/242.48 [8896]~P1(f330(f330(x88961,f474(x88962,x88961,x88963)),f473(x88962,x88961,x88963)))+P1(f330(f330(x88961,f330(f330(f38(a1),x88962),x88963)),f47(a1,x88962,x88963)))+~P1(f330(f330(f240(a1),x88963),f2(a1))) % 242.40/242.48 [9146]~P112(x91461)+~P16(x91461,x91463)+P16(x91461,f152(x91461,x91461,f5(x91461),x91462,x91463)) % 242.40/242.48 [9656]~P129(x96562)+E(x96561,f2(x96562))+~P1(f330(f330(f239(x96562),f330(f330(f82(x96562),f330(f330(f83(x96562),x96563),x96563)),f330(f330(f83(x96562),x96561),x96561))),f2(x96562))) % 242.40/242.48 [9657]~P129(x96572)+E(x96571,f2(x96572))+~P1(f330(f330(f239(x96572),f330(f330(f82(x96572),f330(f330(f83(x96572),x96571),x96571)),f330(f330(f83(x96572),x96573),x96573))),f2(x96572))) % 242.40/242.48 [10444]~P115(x104441)+~P1(f330(f330(f240(x104441),x104442),f2(x104441)))+P1(f330(f330(f240(x104441),f330(f330(f248(x104441),x104442),f330(a115,f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x104443)))),f2(x104441))) % 242.40/242.48 [10453]~P115(x104532)+E(x104531,f2(x104532))+~P1(f330(f330(f239(x104532),f330(f330(f82(x104532),f330(f330(f248(x104532),x104533),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x104532),x104531),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104532))) % 242.40/242.48 [10454]~P115(x104542)+E(x104541,f2(x104542))+~P1(f330(f330(f239(x104542),f330(f330(f82(x104542),f330(f330(f248(x104542),x104541),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x104542),x104543),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104542))) % 242.40/242.48 [5009]~E(x50092,x50093)+~P5(x50091)+E(f330(f330(f23(x50091),x50092),x50093),f2(x50091)) % 242.40/242.48 [5010]~E(x50102,x50103)+~P6(x50101)+E(f330(f330(f23(x50101),x50102),x50103),f2(x50101)) % 242.40/242.48 [5023]~P148(x50231)+~E(x50233,f2(x50231))+E(f330(f330(f82(x50231),x50232),x50233),x50232) % 242.40/242.48 [5041]~P143(x50411)+~E(x50413,f2(x50411))+E(f330(f330(f83(x50411),x50412),x50413),f2(x50411)) % 242.40/242.48 [5042]~P143(x50421)+~E(x50422,f2(x50421))+E(f330(f330(f83(x50421),x50422),x50423),f2(x50421)) % 242.40/242.48 [5063]~E(x50633,f116(x50631))+~E(x50632,f116(x50631))+E(f330(f330(f137(x50631),x50632),x50633),f116(x50631)) % 242.40/242.48 [5153]~P148(x51532)+E(x51531,f2(x51532))+~E(f330(f330(f82(x51532),x51533),x51531),x51533) % 242.40/242.48 [5154]~P5(x51541)+~E(x51542,f330(f81(x51541),x51543))+E(f330(f330(f82(x51541),x51542),x51543),f2(x51541)) % 242.40/242.48 [5161]E(x51611,f116(x51612))+E(x51613,f2(a930))+~E(f330(f330(f178(x51612),x51613),x51611),f116(x51612)) % 242.40/242.48 [5167]~P5(x51673)+E(x51671,x51672)+~E(f330(f330(f23(x51673),x51671),x51672),f2(x51673)) % 242.40/242.48 [5168]~P6(x51683)+E(x51681,x51682)+~E(f330(f330(f23(x51683),x51681),x51682),f2(x51683)) % 242.40/242.48 [5181]~P144(x51812)+E(x51811,f2(x51812))+~E(f330(f330(f248(x51812),x51811),x51813),f2(x51812)) % 242.40/242.48 [5182]~P3(x51822)+E(x51821,f191(x51822))+~E(f330(f330(f113(x51822),x51823),x51821),f191(x51822)) % 242.40/242.48 [5183]~P3(x51832)+E(x51831,f191(x51832))+~E(f330(f330(f113(x51832),x51831),x51833),f191(x51832)) % 242.40/242.48 [5184]~P102(x51842)+E(x51841,f246(x51842))+~E(f330(f330(f104(x51842),x51843),x51841),f246(x51842)) % 242.40/242.48 [5185]~P102(x51852)+E(x51851,f246(x51852))+~E(f330(f330(f104(x51852),x51851),x51853),f246(x51852)) % 242.40/242.48 [5253]~P5(x52532)+E(x52531,f330(f81(x52532),x52533))+~E(f330(f330(f82(x52532),x52531),x52533),f2(x52532)) % 242.40/242.48 [5254]~P5(x52541)+E(f330(f81(x52541),x52542),x52543)+~E(f330(f330(f82(x52541),x52542),x52543),f2(x52541)) % 242.40/242.48 [5256]~E(x52562,x52563)+~P110(x52561)+P1(f330(f330(f239(x52561),x52562),x52563)) % 242.40/242.48 [5258]~E(x52582,x52583)+~P113(x52581)+P1(f330(f330(f239(x52581),x52582),x52583)) % 242.40/242.48 [5354]~P121(x53541)+~E(x53542,f330(f81(x53541),x53543))+E(f330(f330(f83(x53541),x53542),x53542),f330(f330(f83(x53541),x53543),x53543)) % 242.40/242.48 [5362]~P112(x53621)+~P16(x53621,x53623)+P16(x53621,f330(f330(f178(x53621),x53622),x53623)) % 242.40/242.48 [5363]~P112(x53631)+~P16(x53631,x53633)+P16(x53631,f330(f330(f141(x53631),x53632),x53633)) % 242.40/242.48 [5400]E(x54001,x54002)+E(x54003,f2(a930))+~E(f330(f330(f83(a930),x54003),x54001),f330(f330(f83(a930),x54003),x54002)) % 242.40/242.48 [5401]E(x54011,x54012)+E(x54013,f2(a930))+~E(f330(f330(f83(a930),x54011),x54013),f330(f330(f83(a930),x54012),x54013)) % 242.40/242.48 [5478]~E(x54782,x54783)+~P113(x54781)+E(f306(x54781,x54782,x54783),f330(f330(f312(x54781),x54782),f191(f937(x54781,a925)))) % 242.40/242.48 [5527]~E(x55271,x55272)+~P112(x55273)+~P1(f330(f330(f240(x55273),x55271),x55272)) % 242.40/242.48 [5528]~E(x55281,x55282)+~P113(x55283)+~P1(f330(f330(f240(x55283),x55281),x55282)) % 242.40/242.48 [5540]~P113(x55401)+E(f330(f305(x55401,x55402),x55403),f191(f937(x55401,a925)))+P1(f330(f330(f240(x55401),x55402),x55403)) % 242.40/242.48 [5588]~P113(x55881)+E(f306(x55881,x55882,x55883),f191(f937(x55881,a925)))+P1(f330(f330(f239(x55881),x55882),x55883)) % 242.40/242.48 [5589]~P113(x55891)+E(f308(x55891,x55892,x55893),f191(f937(x55891,a925)))+P1(f330(f330(f240(x55891),x55892),x55893)) % 242.40/242.48 [5590]~P113(x55901)+E(f191(f937(x55901,a925)),f306(x55901,x55902,x55903))+P1(f330(f330(f239(x55901),x55902),x55903)) % 242.40/242.48 [5591]~P113(x55911)+E(f191(f937(x55911,a925)),f308(x55911,x55912,x55913))+P1(f330(f330(f240(x55911),x55912),x55913)) % 242.40/242.48 [5598]~P105(x55981)+~E(f330(f330(f113(x55981),x55982),x55983),x55983)+P1(f330(f330(f239(x55981),x55982),x55983)) % 242.40/242.48 [5599]~P106(x55991)+~E(f330(f330(f104(x55991),x55992),x55993),x55992)+P1(f330(f330(f239(x55991),x55992),x55993)) % 242.40/242.48 [5600]~P112(x56001)+~E(f330(f330(f237(x56001),x56002),x56003),x56002)+P1(f330(f330(f239(x56001),x56002),x56003)) % 242.40/242.48 [5601]~P112(x56011)+~E(f330(f330(f238(x56011),x56012),x56013),x56013)+P1(f330(f330(f239(x56011),x56012),x56013)) % 242.40/242.48 [5620]~P112(x56201)+P16(x56201,x56202)+~P16(x56201,f330(f330(f154(x56201),x56203),x56202)) % 242.40/242.48 [5621]~P112(x56211)+P16(x56211,x56212)+~P16(x56211,f330(f330(f137(x56211),x56213),x56212)) % 242.40/242.48 [5622]~P112(x56221)+P16(x56221,x56222)+~P16(x56221,f330(f330(f137(x56221),x56222),x56223)) % 242.40/242.48 [5687]~P112(x56871)+P1(f330(f330(f239(x56871),x56873),x56872))+P1(f330(f330(f239(x56871),x56872),x56873)) % 242.40/242.48 [5692]~P112(x56921)+P1(f330(f330(f240(x56921),x56923),x56922))+P1(f330(f330(f239(x56921),x56922),x56923)) % 242.40/242.48 [5730]~P105(x57301)+E(f330(f330(f113(x57301),x57302),x57303),x57302)+~P1(f330(f330(f239(x57301),x57303),x57302)) % 242.40/242.48 [5732]~P105(x57321)+E(f330(f330(f113(x57321),x57322),x57323),x57323)+~P1(f330(f330(f239(x57321),x57322),x57323)) % 242.40/242.48 [5733]~P106(x57331)+E(f330(f330(f104(x57331),x57332),x57333),x57333)+~P1(f330(f330(f239(x57331),x57333),x57332)) % 242.40/242.48 [5735]~P106(x57351)+E(f330(f330(f104(x57351),x57352),x57353),x57352)+~P1(f330(f330(f239(x57351),x57352),x57353)) % 242.40/242.48 [5736]~P112(x57361)+E(f330(f330(f237(x57361),x57362),x57363),x57363)+~P1(f330(f330(f239(x57361),x57363),x57362)) % 242.40/242.48 [5738]~P112(x57381)+E(f330(f330(f237(x57381),x57382),x57383),x57382)+~P1(f330(f330(f239(x57381),x57382),x57383)) % 242.40/242.48 [5739]~P112(x57391)+E(f330(f330(f238(x57391),x57392),x57393),x57392)+~P1(f330(f330(f239(x57391),x57393),x57392)) % 242.40/242.48 [5741]~P112(x57411)+E(f330(f330(f238(x57411),x57412),x57413),x57413)+~P1(f330(f330(f239(x57411),x57412),x57413)) % 242.40/242.48 [5748]~P122(x57482)+E(x57481,f2(x57482))+E(f330(f330(f293(x57482),f330(f81(x57482),x57483)),f330(f81(x57482),x57481)),f330(f330(f293(x57482),x57483),x57481)) % 242.40/242.48 [5799]~P113(x57991)+E(f330(f305(x57991,x57992),x57993),f191(f937(x57991,a925)))+~P1(f330(f330(f239(x57991),x57993),x57992)) % 242.40/242.48 [5831]~P113(x58311)+E(f306(x58311,x58312,x58313),f191(f937(x58311,a925)))+~P1(f330(f330(f240(x58311),x58313),x58312)) % 242.40/242.48 [5832]~P113(x58321)+E(f309(x58321,x58322,x58323),f191(f937(x58321,a925)))+~P1(f330(f330(f239(x58321),x58323),x58322)) % 242.40/242.48 [5833]~P113(x58331)+E(f308(x58331,x58332,x58333),f191(f937(x58331,a925)))+~P1(f330(f330(f239(x58331),x58333),x58332)) % 242.40/242.48 [5885]~E(f330(f330(f23(a930),x58851),x58853),x58852)+E(x58851,f330(f330(f82(a930),x58852),x58853))+~P1(f330(f330(f239(a930),x58853),x58851)) % 242.40/242.48 [5886]~E(x58861,f330(f330(f82(a930),x58863),x58862))+E(f330(f330(f23(a930),x58861),x58862),x58863)+~P1(f330(f330(f239(a930),x58862),x58861)) % 242.40/242.48 [5931]~P1(f330(x59311,x59313))+P1(f330(x59311,f338(x59311,x59312)))+~P1(f330(f330(f239(a930),x59313),x59312)) % 242.40/242.48 [5932]~P1(f330(x59321,x59323))+P1(f330(x59321,f373(x59321,x59322)))+~P1(f330(f330(f240(a930),x59323),x59322)) % 242.40/242.48 [5940]~P113(x59401)+~E(f330(f305(x59401,x59402),x59403),f191(f937(x59401,a925)))+~P1(f330(f330(f240(x59401),x59402),x59403)) % 242.40/242.48 [5945]~P110(x59451)+~P1(f330(f330(f240(x59451),x59452),x59453))+P1(f330(f330(f239(x59451),x59452),x59453)) % 242.40/242.48 [5947]~P113(x59471)+~P1(f330(f330(f240(x59471),x59472),x59473))+P1(f330(f330(f239(x59471),x59472),x59473)) % 242.40/242.48 [6056]~P113(x60561)+~E(f306(x60561,x60562,x60563),f191(f937(x60561,a925)))+~P1(f330(f330(f239(x60561),x60562),x60563)) % 242.40/242.48 [6057]~P113(x60571)+~E(f308(x60571,x60572,x60573),f191(f937(x60571,a925)))+~P1(f330(f330(f240(x60571),x60572),x60573)) % 242.40/242.48 [6058]~P113(x60581)+~E(f191(f937(x60581,a925)),f306(x60581,x60582,x60583))+~P1(f330(f330(f239(x60581),x60582),x60583)) % 242.40/242.48 [6059]~P113(x60591)+~E(f191(f937(x60591,a925)),f308(x60591,x60592,x60593))+~P1(f330(f330(f240(x60591),x60592),x60593)) % 242.40/242.48 [6072]P1(f330(x60721,x60722))+~P1(f330(x60721,f339(x60721,x60723)))+~P1(f330(f330(f239(a930),x60722),x60723)) % 242.40/242.48 [6073]P1(f330(x60731,x60732))+~P1(f330(x60731,f377(x60731,x60733)))+~P1(f330(f330(f240(a930),x60732),x60733)) % 242.40/242.48 [6081]~E(x60811,f330(a115,x60813))+P1(f330(f330(f240(a930),x60811),f330(a115,x60812)))+~P1(f330(f330(f240(a930),x60813),x60812)) % 242.40/242.48 [6100]E(x61001,x61002)+~E(f330(f330(f83(a930),x61003),x61001),f330(f330(f83(a930),x61003),x61002))+~P1(f330(f330(f240(a930),f2(a930)),x61003)) % 242.40/242.48 [6156]E(f330(x61561,f911(x61561,x61562,x61563)),f80(a930))+~E(f330(f330(f6(x61563,a930),x61561),x61562),f80(a930))+~P1(f330(f63(x61563),x61562)) % 242.40/242.48 [6172]~P8(x61721)+P1(f330(f330(f239(x61721),x61722),f39(x61721,x61723)))+~P1(f330(f330(f332(x61721),x61722),x61723)) % 242.40/242.48 [6196]~P110(x61961)+~P1(f330(f330(f240(x61961),x61963),x61962))+~P1(f330(f330(f239(x61961),x61962),x61963)) % 242.40/242.48 [6200]~P110(x62001)+~P1(f330(f330(f240(x62001),x62003),x62002))+~P1(f330(f330(f240(x62001),x62002),x62003)) % 242.40/242.48 [6203]~P112(x62031)+~P1(f330(f330(f240(x62031),x62033),x62032))+~P1(f330(f330(f239(x62031),x62032),x62033)) % 242.40/242.48 [6204]~P112(x62041)+~P1(f330(f330(f240(x62041),x62043),x62042))+~P1(f330(f330(f240(x62041),x62042),x62043)) % 242.40/242.48 [6205]~P113(x62051)+~P1(f330(f330(f240(x62051),x62053),x62052))+~P1(f330(f330(f240(x62051),x62052),x62053)) % 242.40/242.48 [6233]~E(f330(x62332,f770(x62332,x62333,x62331)),f2(a930))+E(f330(f330(f6(x62331,a930),x62332),x62333),f2(a930))+~P1(f330(f63(x62331),x62333)) % 242.40/242.48 [6234]~E(f330(x62342,f426(x62342,x62343,x62341)),f80(a930))+E(f330(f330(f9(x62341,a930),x62342),x62343),f80(a930))+~P1(f330(f63(x62341),x62343)) % 242.40/242.48 [6250]~P111(x62501)+~P1(f330(f330(f240(x62501),x62503),x62502))+P1(f330(f330(f332(x62501),x62502),f330(f307(x62501),x62503))) % 242.40/242.48 [6251]~P111(x62511)+~P1(f330(f330(f239(x62511),x62513),x62512))+P1(f330(f330(f332(x62511),x62512),f330(f287(x62511),x62513))) % 242.40/242.48 [6252]~P111(x62521)+~P1(f330(f330(f240(x62521),x62522),x62523))+P1(f330(f330(f332(x62521),x62522),f330(f286(x62521),x62523))) % 242.40/242.48 [6253]~P111(x62531)+~P1(f330(f330(f239(x62531),x62532),x62533))+P1(f330(f330(f332(x62531),x62532),f330(f304(x62531),x62533))) % 242.40/242.48 [6265]E(f330(x62651,f778(x62651,x62652,x62653)),f330(a115,f2(a930)))+~E(f330(f330(f6(x62653,a930),x62651),x62652),f330(a115,f2(a930)))+~P1(f330(f63(x62653),x62652)) % 242.40/242.48 [6349]~P8(x63491)+~P1(f330(f330(f332(x63491),x63493),x63492))+P1(f330(f330(f239(x63491),f40(x63491,x63492)),x63493)) % 242.40/242.48 [6369]~P1(f330(f330(f239(a930),x63691),x63693))+P1(f330(f330(f239(a930),x63691),x63692))+~P1(f330(f330(f239(a930),x63693),x63692)) % 242.40/242.48 [6370]~P1(f330(f330(f239(a1),x63701),x63703))+P1(f330(f330(f239(a1),x63701),x63702))+~P1(f330(f330(f239(a1),x63703),x63702)) % 242.40/242.48 [6390]~P111(x63901)+~P1(f330(f330(f332(x63901),x63903),f330(f287(x63901),x63902)))+P1(f330(f330(f239(x63901),x63902),x63903)) % 242.40/242.48 [6391]~P111(x63911)+~P1(f330(f330(f332(x63911),x63912),f330(f304(x63911),x63913)))+P1(f330(f330(f239(x63911),x63912),x63913)) % 242.40/242.48 [6392]~P111(x63921)+~P1(f330(f330(f332(x63921),x63923),f330(f307(x63921),x63922)))+P1(f330(f330(f240(x63921),x63922),x63923)) % 242.40/242.48 [6393]~P111(x63931)+~P1(f330(f330(f332(x63931),x63932),f330(f286(x63931),x63933)))+P1(f330(f330(f240(x63931),x63932),x63933)) % 242.40/242.48 [6466]~P1(f330(x64661,x64662))+P1(f330(x64661,f814(x64661)))+~P1(f330(f330(f332(x64663),x64662),f246(f937(x64663,a925)))) % 242.40/242.48 [6606]~P72(x66061)+P1(f330(f330(f240(x66061),f2(x66061)),f448(x66063,x66062,x66061)))+P1(f330(f330(f239(x66061),x66062),x66063)) % 242.40/242.48 [6607]~P73(x66071)+P1(f330(f330(f240(x66071),f2(x66071)),f791(x66073,x66072,x66071)))+P1(f330(f330(f239(x66071),x66072),x66073)) % 242.40/242.48 [6678]~P83(x66781)+~P1(f330(f330(f239(x66781),x66783),f330(f81(x66781),x66782)))+P1(f330(f330(f239(x66781),x66782),f330(f81(x66781),x66783))) % 242.40/242.48 [6680]~P83(x66801)+~P1(f330(f330(f240(x66801),x66803),f330(f81(x66801),x66802)))+P1(f330(f330(f240(x66801),x66802),f330(f81(x66801),x66803))) % 242.40/242.48 [6692]~P1(f330(f330(f240(a930),x66921),x66923))+~P1(f330(f330(f240(a930),x66923),x66922))+P1(f330(f330(f240(a930),f330(a115,x66921)),x66922)) % 242.40/242.48 [6718]~P127(x67181)+P1(f330(f330(f239(x67181),f330(f103(x67181),x67182)),f330(f103(x67181),x67183)))+~P1(f330(f330(f239(a930),x67182),x67183)) % 242.40/242.48 [6719]~P115(x67191)+P1(f330(f330(f239(x67191),f330(f105(x67191),x67192)),f330(f105(x67191),x67193)))+~P1(f330(f330(f239(a1),x67192),x67193)) % 242.40/242.48 [6721]~P115(x67211)+P1(f330(f330(f240(x67211),f330(f105(x67211),x67212)),f330(f105(x67211),x67213)))+~P1(f330(f330(f240(a1),x67212),x67213)) % 242.40/242.48 [6722]~P127(x67221)+P1(f330(f330(f240(x67221),f330(f103(x67221),x67222)),f330(f103(x67221),x67223)))+~P1(f330(f330(f240(a930),x67222),x67223)) % 242.40/242.48 [6728]~P112(x67281)+E(f330(f330(f113(f937(x67281,a925)),f330(f286(x67281),x67282)),f330(f305(x67281,x67282),x67283)),f330(f286(x67281),x67283))+~P1(f330(f330(f239(x67281),x67282),x67283)) % 242.40/242.48 [6760]~P83(x67601)+~P1(f330(f330(f239(x67601),x67603),x67602))+P1(f330(f330(f239(x67601),f330(f81(x67601),x67602)),f330(f81(x67601),x67603))) % 242.40/242.48 [6762]~P96(x67621)+~P1(f330(f330(f239(x67621),x67623),x67622))+P1(f330(f330(f239(x67621),f330(f81(x67621),x67622)),f330(f81(x67621),x67623))) % 242.40/242.48 [6763]~P83(x67631)+~P1(f330(f330(f240(x67631),x67633),x67632))+P1(f330(f330(f240(x67631),f330(f81(x67631),x67632)),f330(f81(x67631),x67633))) % 242.40/242.48 [6797]~P112(x67971)+E(f330(f330(f113(f937(x67971,a925)),f330(f286(x67971),x67972)),f306(x67971,x67972,x67973)),f330(f304(x67971),x67973))+~P1(f330(f330(f239(x67971),x67972),x67973)) % 242.40/242.48 [6798]~P112(x67981)+E(f330(f330(f113(f937(x67981,a925)),f330(f304(x67981),x67982)),f309(x67981,x67982,x67983)),f330(f286(x67981),x67983))+~P1(f330(f330(f240(x67981),x67982),x67983)) % 242.40/242.48 [6799]~P112(x67991)+E(f330(f330(f113(f937(x67991,a925)),f330(f304(x67991),x67992)),f308(x67991,x67992,x67993)),f330(f304(x67991),x67993))+~P1(f330(f330(f239(x67991),x67992),x67993)) % 242.40/242.48 [6834]~P112(x68341)+E(f330(f330(f113(f937(x68341,a925)),f330(f305(x68341,x68342),x68343)),f330(f287(x68341),x68343)),f330(f287(x68341),x68342))+~P1(f330(f330(f239(x68341),x68342),x68343)) % 242.40/242.48 [6984]~P112(x69841)+E(f330(f330(f113(f937(x69841,a925)),f306(x69841,x69842,x69843)),f330(f307(x69841),x69843)),f330(f287(x69841),x69842))+~P1(f330(f330(f239(x69841),x69842),x69843)) % 242.40/242.48 [6985]~P112(x69851)+E(f330(f330(f113(f937(x69851,a925)),f309(x69851,x69852,x69853)),f330(f287(x69851),x69853)),f330(f307(x69851),x69852))+~P1(f330(f330(f240(x69851),x69852),x69853)) % 242.40/242.48 [6986]~P112(x69861)+E(f330(f330(f113(f937(x69861,a925)),f308(x69861,x69862,x69863)),f330(f307(x69861),x69863)),f330(f307(x69861),x69862))+~P1(f330(f330(f239(x69861),x69862),x69863)) % 242.40/242.48 [7005]P1(f330(x70051,x70052))+~P1(f330(f330(f239(a930),x70052),x70053))+P1(f330(f330(f332(a930),f339(x70051,x70053)),f306(a930,f2(a930),x70053))) % 242.40/242.48 [7039]E(x70391,x70392)+~E(f330(f330(f167(x70393),x70391),f669(x70393,x70392,x70391)),f330(f330(f167(x70393),x70392),f669(x70393,x70392,x70391)))+~E(f330(f192(f931(x70393)),x70391),f330(f192(f931(x70393)),x70392)) % 242.40/242.48 [7044]~E(x70443,f330(f330(f38(a930),x70441),x70442))+~P1(f330(f330(f240(a930),f2(a930)),x70442))+P1(f330(f330(f240(a930),x70441),f330(f330(f83(a930),x70442),f330(a115,x70443)))) % 242.40/242.48 [7060]~P1(f330(x70601,x70603))+~P1(f330(f330(f239(a930),x70603),x70602))+P1(f330(f330(f332(a930),f338(x70601,x70602)),f306(a930,f2(a930),x70602))) % 242.40/242.48 [7097]~P1(f330(x70971,x70973))+P1(f330(x70971,f375(x70971,x70972)))+~P1(f330(f330(f332(a930),x70973),f306(a930,f2(a930),x70972))) % 242.40/242.48 [7115]~P127(x71153)+~P1(f330(f330(f239(x71153),f330(f103(x71153),x71151)),f330(f103(x71153),x71152)))+P1(f330(f330(f239(a930),x71151),x71152)) % 242.40/242.48 [7116]~P115(x71163)+~P1(f330(f330(f239(x71163),f330(f105(x71163),x71161)),f330(f105(x71163),x71162)))+P1(f330(f330(f239(a1),x71161),x71162)) % 242.40/242.48 [7118]~P127(x71183)+~P1(f330(f330(f240(x71183),f330(f103(x71183),x71181)),f330(f103(x71183),x71182)))+P1(f330(f330(f240(a930),x71181),x71182)) % 242.40/242.48 [7119]~P115(x71193)+~P1(f330(f330(f240(x71193),f330(f105(x71193),x71191)),f330(f105(x71193),x71192)))+P1(f330(f330(f240(a1),x71191),x71192)) % 242.40/242.48 [7136]~P127(x71361)+~P1(f330(f330(f240(x71361),f80(x71361)),x71362))+P1(f330(f330(f240(x71361),f80(x71361)),f330(f330(f248(x71361),x71362),f330(a115,x71363)))) % 242.40/242.48 [7138]~P83(x71381)+~P1(f330(f330(f239(x71381),f330(f81(x71381),x71383)),f330(f81(x71381),x71382)))+P1(f330(f330(f239(x71381),x71382),x71383)) % 242.40/242.48 [7139]~P96(x71391)+~P1(f330(f330(f239(x71391),f330(f81(x71391),x71393)),f330(f81(x71391),x71392)))+P1(f330(f330(f239(x71391),x71392),x71393)) % 242.40/242.48 [7140]~P83(x71401)+~P1(f330(f330(f240(x71401),f330(f81(x71401),x71403)),f330(f81(x71401),x71402)))+P1(f330(f330(f240(x71401),x71402),x71403)) % 242.40/242.48 [7166]P1(f330(x71661,x71662))+~P1(f330(x71661,f371(x71661,x71663)))+~P1(f330(f330(f332(a930),x71662),f306(a930,f2(a930),x71663))) % 242.40/242.48 [7186]~P72(x71861)+P1(f330(f330(f240(x71861),f448(x71863,x71862,x71861)),f80(x71861)))+P1(f330(f330(f239(x71861),x71862),x71863)) % 242.40/242.48 [7206]~E(f47(a930,x72063,x72062),f47(a930,x72061,x72062))+E(f330(f330(f82(a930),x72061),f330(f330(f83(a930),x72062),f482(x72061,x72062,x72063))),x72063)+~P1(f330(f330(f239(a930),x72061),x72063)) % 242.40/242.48 [7260]E(f330(f330(f6(x72601,a930),x72602),x72603),f2(a930))+~P1(f330(f63(x72601),x72603))+P1(f330(f330(f332(x72601),f770(x72602,x72603,x72601)),x72603)) % 242.40/242.48 [7261]E(f330(f330(f9(x72611,a930),x72612),x72613),f80(a930))+~P1(f330(f63(x72611),x72613))+P1(f330(f330(f332(x72611),f426(x72612,x72613,x72611)),x72613)) % 242.40/242.48 [7283]~P112(x72831)+~P1(f330(f330(f239(x72831),x72832),x72833))+P1(f330(f330(f239(f937(x72831,a925)),f330(f286(x72831),x72832)),f330(f286(x72831),x72833))) % 242.40/242.48 [7284]~P113(x72841)+~P1(f330(f330(f239(x72841),x72842),x72843))+P1(f330(f330(f239(f937(x72841,a925)),f330(f304(x72841),x72842)),f330(f304(x72841),x72843))) % 242.40/242.48 [7285]~P112(x72851)+~P1(f330(f330(f239(x72851),x72853),x72852))+P1(f330(f330(f239(f937(x72851,a925)),f330(f307(x72851),x72852)),f330(f307(x72851),x72853))) % 242.40/242.48 [7286]~P113(x72861)+~P1(f330(f330(f239(x72861),x72863),x72862))+P1(f330(f330(f239(f937(x72861,a925)),f330(f287(x72861),x72862)),f330(f287(x72861),x72863))) % 242.40/242.48 [7287]~P112(x72871)+~P1(f330(f330(f240(x72871),x72872),x72873))+P1(f330(f330(f240(f937(x72871,a925)),f330(f286(x72871),x72872)),f330(f286(x72871),x72873))) % 242.40/242.48 [7298]~P8(x72981)+P1(f330(f330(f239(x72981),x72982),f40(x72981,x72983)))+P1(f330(f330(f332(x72981),f630(x72983,x72982,x72981)),x72983)) % 242.40/242.48 [7304]~P83(x73041)+P1(f330(f330(f239(x73041),f330(f330(f23(x73041),x73042),x73043)),f2(x73041)))+~P1(f330(f330(f239(x73041),x73042),x73043)) % 242.40/242.48 [7305]~P83(x73051)+P1(f330(f330(f240(x73051),f330(f330(f23(x73051),x73052),x73053)),f2(x73051)))+~P1(f330(f330(f240(x73051),x73052),x73053)) % 242.40/242.48 [7347]P1(f330(x73471,x73472))+P1(f330(f330(f239(a930),f371(x73471,x73473)),x73473))+~P1(f330(f330(f332(a930),x73472),f306(a930,f2(a930),x73473))) % 242.40/242.48 [7387]~E(f330(f330(f6(x73871,a930),x73872),x73873),f80(a930))+~P1(f330(f63(x73871),x73873))+P1(f330(f330(f332(x73871),f911(x73872,x73873,x73871)),x73873)) % 242.40/242.48 [7388]~P1(f330(x73881,x73883))+P1(f330(f330(f239(a930),f375(x73881,x73882)),x73882))+~P1(f330(f330(f332(a930),x73883),f306(a930,f2(a930),x73882))) % 242.40/242.48 [7427]~P8(x74271)+P1(f330(f330(f332(x74271),f631(x74273,x74272,x74271)),x74272))+P1(f330(f330(f239(x74271),f39(x74271,x74272)),x74273)) % 242.40/242.48 [7461]~E(f330(f330(f6(x74611,a930),x74612),x74613),f330(a115,f2(a930)))+~P1(f330(f63(x74611),x74613))+P1(f330(f330(f332(x74611),f778(x74612,x74613,x74611)),x74613)) % 242.40/242.48 [7472]E(x74721,f2(a930))+P1(f330(x74722,f47(a930,x74723,x74721)))+P1(f330(f330(f240(a930),f480(x74721,x74723,x74722)),x74721)) % 242.40/242.48 [7590]~P1(f330(x75901,x75902))+P1(f330(x75901,f47(a930,x75902,x75903)))+P1(f330(f330(f240(a930),f480(x75903,x75902,x75901)),x75903)) % 242.40/242.48 [7709]E(x77091,f116(x77092))+~P1(f330(f330(f332(f931(x77092)),x77091),f164(x77092,x77093)))+P1(f330(f330(f332(x77092),f710(x77093,x77091,x77092)),x77093)) % 242.40/242.48 [7731]~P112(x77311)+E(f330(f330(f113(f937(x77311,a925)),f330(f330(f312(x77311),x77312),f191(f937(x77311,a925)))),f309(x77311,x77312,x77313)),f330(f305(x77311,x77312),x77313))+~P1(f330(f330(f240(x77311),x77312),x77313)) % 242.40/242.48 [7754]~P112(x77541)+E(f330(f330(f113(f937(x77541,a925)),f330(f330(f312(x77541),x77542),f191(f937(x77541,a925)))),f308(x77541,x77542,x77543)),f306(x77541,x77542,x77543))+~P1(f330(f330(f239(x77541),x77542),x77543)) % 242.40/242.48 [7860]~P112(x78601)+P1(f330(f330(f239(x78601),x78602),x78603))+~P1(f330(f330(f239(f937(x78601,a925)),f330(f307(x78601),x78603)),f330(f307(x78601),x78602))) % 242.40/242.48 [7861]~P113(x78611)+P1(f330(f330(f239(x78611),x78612),x78613))+~P1(f330(f330(f239(f937(x78611,a925)),f330(f287(x78611),x78613)),f330(f287(x78611),x78612))) % 242.40/242.48 [7862]~P112(x78621)+P1(f330(f330(f239(x78621),x78622),x78623))+~P1(f330(f330(f239(f937(x78621,a925)),f330(f286(x78621),x78622)),f330(f286(x78621),x78623))) % 242.40/242.48 [7863]~P113(x78631)+P1(f330(f330(f239(x78631),x78632),x78633))+~P1(f330(f330(f239(f937(x78631,a925)),f330(f304(x78631),x78632)),f330(f304(x78631),x78633))) % 242.40/242.48 [7864]~P112(x78641)+P1(f330(f330(f240(x78641),x78642),x78643))+~P1(f330(f330(f240(f937(x78641,a925)),f330(f286(x78641),x78642)),f330(f286(x78641),x78643))) % 242.40/242.48 [7888]~P83(x78881)+~P1(f330(f330(f239(x78881),f330(f330(f23(x78881),x78882),x78883)),f2(x78881)))+P1(f330(f330(f239(x78881),x78882),x78883)) % 242.40/242.48 [7889]~P83(x78891)+~P1(f330(f330(f240(x78891),f330(f330(f23(x78891),x78892),x78893)),f2(x78891)))+P1(f330(f330(f240(x78891),x78892),x78893)) % 242.40/242.48 [8051]E(x80511,f2(a930))+~E(f330(f145(a930,a930,f82(a930),x80512),x80513),f2(a930))+~P1(f330(f330(f332(a930),x80511),f330(f175(a930),x80513))) % 242.40/242.48 [8055]~P8(x80551)+~P1(f330(f330(f239(x80551),f631(x80553,x80552,x80551)),x80553))+P1(f330(f330(f239(x80551),f39(x80551,x80552)),x80553)) % 242.40/242.48 [8207]P1(f330(f330(f239(a1),f2(a1)),f475(x82071,x82072,x82073)))+P1(f330(f330(x82072,f330(f330(f38(a1),x82071),x82073)),f47(a1,x82071,x82073)))+~P1(f330(f330(f240(a1),f2(a1)),x82073)) % 242.40/242.48 [8305]E(x83051,x83052)+~E(f330(f192(f931(x83053)),x83051),f330(f192(f931(x83053)),x83052))+~P1(f330(f330(f261(x83053,x83053,a925),a327),f684(x83053,x83051,x83052))) % 242.40/242.48 [8377]~P42(x83772,x83773)+E(x83771,f191(f937(x83772,a925)))+~P1(f330(f330(f239(f937(x83772,a925)),x83771),f330(f289(x83772,x83772,x83773),x83771))) % 242.40/242.48 [8405]~P73(x84051)+~P1(f330(f330(f239(x84051),x84052),f330(f330(f82(x84051),x84053),f791(x84053,x84052,x84051))))+P1(f330(f330(f239(x84051),x84052),x84053)) % 242.40/242.48 [8441]P59(x84411,x84412,x84413)+P1(f330(f330(f332(x84411),f561(x84413,x84412,x84411)),x84412))+P1(f330(f330(f332(f936(x84411,x84411)),f562(x84413,x84412,x84411)),x84413)) % 242.40/242.48 [8463]P1(f330(f330(x84632,f330(f330(f38(a1),x84631),x84633)),f47(a1,x84631,x84633)))+~P1(f330(f330(f240(a1),f2(a1)),x84633))+P1(f330(f330(f240(a1),f475(x84631,x84632,x84633)),x84633)) % 242.40/242.48 [8487]E(f330(f313(a930,a930,f330(f330(f7(a930,a930,a930),f23(a930)),x84871)),f330(f305(a930,x84872),x84873)),f191(f937(a930,a925)))+P1(f330(f330(f240(a930),x84871),x84873))+P1(f330(f330(f240(a930),x84872),x84873)) % 242.40/242.48 [8601]E(f330(f313(a930,a930,f330(f330(f7(a930,a930,a930),f23(a930)),x86011)),f330(f305(a930,x86012),x86013)),f330(f330(f312(a930),f2(a930)),f191(f937(a930,a925))))+P1(f330(f330(f240(a930),x86011),x86013))+~P1(f330(f330(f240(a930),x86012),x86013)) % 242.40/242.48 [8615]~P112(x86151)+E(f152(x86151,x86151,f5(x86151),x86152,x86153),x86153)+~P1(f330(f330(f332(x86151),x86152),f330(f175(x86151),x86153))) % 242.40/242.48 [8629]P28(x86291,x86291,x86292,x86293)+~P1(f330(f63(x86291),x86293))+~P1(f330(f330(f239(f937(x86291,a925)),x86293),f330(f313(x86291,x86291,x86292),x86293))) % 242.40/242.48 [8655]E(f330(f330(f82(a1),f330(f330(f83(a1),x86551),f476(x86552,x86553,x86551))),f475(x86552,x86553,x86551)),x86552)+P1(f330(f330(x86553,f330(f330(f38(a1),x86552),x86551)),f47(a1,x86552,x86551)))+~P1(f330(f330(f240(a1),f2(a1)),x86551)) % 242.40/242.48 [8903]~P1(f330(f330(x89031,f476(x89032,x89031,x89033)),f475(x89032,x89031,x89033)))+P1(f330(f330(x89031,f330(f330(f38(a1),x89032),x89033)),f47(a1,x89032,x89033)))+~P1(f330(f330(f240(a1),f2(a1)),x89033)) % 242.40/242.48 [9800]~P1(f330(f63(x98001),x98002))+~P1(f330(f330(f332(x98001),x98003),x98002))+P1(f330(f330(f240(a930),f330(f37(x98001),f330(f330(f23(f937(x98001,a925)),x98002),f330(f330(f312(x98001),x98003),f191(f937(x98001,a925)))))),f330(f37(x98001),x98002))) % 242.40/242.48 [10388]P59(x103881,x103882,x103883)+~P1(f330(f330(f261(x103881,x103881,a925),f330(f330(f7(x103881,f937(x103881,a925),f937(x103881,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x103881,a925),f937(x103881,a925)),x103881),f8(a925,a925,x103881)),f330(f330(f8(a925,f937(a925,a925),x103881),a328),f330(f330(f7(x103881,f937(x103881,a925),a925),f332(x103881)),x103882)))),f330(f330(f7(x103881,f937(x103881,a925),a925),f332(x103881)),x103882))),f562(x103883,x103882,x103881)))+P1(f330(f330(f332(x103881),f561(x103883,x103882,x103881)),x103882)) % 242.40/242.48 [5709]~P122(x57092)+E(x57091,f2(x57092))+E(f330(f330(f293(x57092),x57093),f330(f81(x57092),x57091)),f330(f81(x57092),f330(f330(f293(x57092),x57093),x57091))) % 242.40/242.48 [5847]~E(x58473,f191(f937(x58471,a925)))+~E(x58472,f191(f937(x58471,a925)))+E(f330(f330(f113(f937(x58471,a925)),x58472),x58473),f191(f937(x58471,a925))) % 242.40/242.48 [5905]~E(x59053,f2(a930))+~P1(f330(x59051,f2(a930)))+P1(f330(x59051,f330(f330(f38(a930),x59052),x59053))) % 242.40/242.48 [6048]~P73(x60482)+E(x60481,f2(x60482))+E(f330(f330(f293(x60482),f330(f77(x60482),x60483)),f330(f77(x60482),x60481)),f330(f77(x60482),f330(f330(f293(x60482),x60483),x60481))) % 242.40/242.48 [6222]~P1(f330(f63(x62221),x62223))+E(f330(f37(x62221),f330(f330(f312(x62221),x62222),x62223)),f330(a115,f330(f37(x62221),x62223)))+P1(f330(f330(f332(x62221),x62222),x62223)) % 242.40/242.48 [6298]~E(x62982,f2(a930))+P1(f330(x62981,f2(a930)))+~P1(f330(x62981,f330(f330(f38(a930),x62983),x62982))) % 242.40/242.48 [6315]~P1(f330(f63(x63151),x63153))+E(f330(f37(x63151),f330(f330(f312(x63151),x63152),x63153)),f330(f37(x63151),x63153))+~P1(f330(f330(f332(x63151),x63152),x63153)) % 242.40/242.48 [6351]~P1(f330(f63(x63511),x63513))+E(f330(f37(x63511),f330(f330(f312(x63511),x63512),x63513)),f330(f330(f82(a930),f80(a930)),f330(f37(x63511),x63513)))+P1(f330(f330(f332(x63511),x63512),x63513)) % 242.40/242.48 [6467]E(f330(f330(f82(a930),x64671),f912(x64671,x64672,x64673)),x64672)+~P1(f330(x64673,f2(a930)))+P1(f330(x64673,f330(f330(f23(a930),x64672),x64671))) % 242.40/242.48 [6468]E(f330(f330(f82(a930),x64681),f913(x64681,x64682,x64683)),x64682)+~P1(f330(x64683,f2(a930)))+P1(f330(x64683,f330(f330(f23(a930),x64682),x64681))) % 242.40/242.48 [6514]~P8(x65141)+~P1(f330(f63(x65141),x65143))+E(f330(f330(f66(x65141,x65141,f113(x65141)),x65142),x65143),f330(f330(f113(x65141),x65142),f39(x65141,x65143))) % 242.40/242.48 [6515]~P8(x65151)+~P1(f330(f63(x65151),x65153))+E(f330(f330(f66(x65151,x65151,f104(x65151)),x65152),x65153),f330(f330(f104(x65151),x65152),f40(x65151,x65153))) % 242.40/242.48 [6521]~P98(x65211)+~E(f330(f106(x65211),x65212),f330(f106(x65211),x65213))+P33(x65211,f330(f106(x65211),f330(f330(f82(a1),x65212),f330(f81(a1),x65213)))) % 242.40/242.48 [6530]~P142(x65301)+E(f330(f330(f23(x65301),f330(f103(x65301),x65302)),f330(f103(x65301),x65303)),f330(f103(x65301),f330(f330(f23(a930),x65302),x65303)))+~P1(f330(f330(f239(a930),x65303),x65302)) % 242.40/242.48 [6617]E(f330(f330(f82(a930),x66171),f912(x66171,x66172,x66173)),x66172)+P1(f330(f330(f240(a930),x66172),x66171))+P1(f330(x66173,f330(f330(f23(a930),x66172),x66171))) % 242.40/242.48 [6618]E(f330(f330(f82(a930),x66181),f913(x66181,x66182,x66183)),x66182)+P1(f330(f330(f240(a930),x66182),x66181))+P1(f330(x66183,f330(f330(f23(a930),x66182),x66181))) % 242.40/242.48 [6635]~P115(x66351)+E(f330(f330(f83(x66351),f330(f77(x66351),x66352)),x66353),f330(f77(x66351),f330(f330(f83(x66351),x66352),x66353)))+~P1(f330(f330(f239(x66351),f2(x66351)),x66353)) % 242.40/242.48 [6636]~P72(x66361)+E(f330(f330(f293(x66361),f330(f77(x66361),x66362)),x66363),f330(f77(x66361),f330(f330(f293(x66361),x66362),x66363)))+~P1(f330(f330(f240(x66361),f2(x66361)),x66363)) % 242.40/242.48 [6644]~P2(x66441)+~P1(f330(f63(x66441),x66443))+E(f330(f330(f66(x66441,x66441,f104(x66441)),x66442),x66443),f10(x66441,f330(f330(f312(x66441),x66442),x66443))) % 242.40/242.48 [6645]~P2(x66451)+~P1(f330(f63(x66451),x66453))+E(f330(f330(f66(x66451,x66451,f113(x66451)),x66452),x66453),f13(x66451,f330(f330(f312(x66451),x66452),x66453))) % 242.40/242.48 [6646]~P112(x66461)+~P1(f330(f63(x66461),x66463))+E(f330(f330(f66(x66461,x66461,f238(x66461)),x66462),x66463),f14(x66461,f330(f330(f312(x66461),x66462),x66463))) % 242.40/242.48 [6647]~P112(x66471)+~P1(f330(f63(x66471),x66473))+E(f330(f330(f66(x66471,x66471,f237(x66471)),x66472),x66473),f15(x66471,f330(f330(f312(x66471),x66472),x66473))) % 242.40/242.48 [6694]E(x66941,f116(x66942))+~E(f182(x66942,x66943),f116(f931(x66942)))+~P1(f330(f330(f332(f931(x66942)),x66941),f330(f175(f931(x66942)),x66943))) % 242.40/242.48 [6738]~P1(f330(f140(x67381),x67383))+P1(f330(f330(f332(x67381),x67382),f330(f175(x67381),x67383)))+P1(f330(f140(x67381),f330(f330(f154(x67381),x67382),x67383))) % 242.40/242.48 [6749]~P100(x67491)+~P1(f330(f63(x67491),x67493))+E(f330(f65(x67491,f83(x67491)),f330(f330(f312(x67491),x67492),x67493)),f330(f330(f66(x67491,x67491,f83(x67491)),x67492),x67493)) % 242.40/242.48 [6771]~P112(x67711)+~P1(f330(f63(x67711),x67713))+E(f11(x67711,f238(x67711),f330(f330(f312(x67711),x67712),x67713)),f330(f330(f66(x67711,x67711,f238(x67711)),x67712),x67713)) % 242.40/242.48 [6772]~P112(x67721)+~P1(f330(f63(x67721),x67723))+E(f12(x67721,f237(x67721),f330(f330(f312(x67721),x67722),x67723)),f330(f330(f66(x67721,x67721,f237(x67721)),x67722),x67723)) % 242.40/242.48 [6774]P1(f330(x67741,f2(a930)))+~P1(f330(f330(f240(a930),x67742),x67743))+~P1(f330(x67741,f330(f330(f23(a930),x67742),x67743))) % 242.40/242.48 [6795]~P91(x67951)+P1(f330(f330(f239(x67951),x67952),x67953))+~P1(f330(f330(f239(x67951),f330(f77(x67951),x67952)),x67953)) % 242.40/242.48 [6796]~P115(x67961)+P1(f330(f330(f240(x67961),x67962),x67963))+~P1(f330(f330(f240(x67961),f330(f77(x67961),x67962)),x67963)) % 242.40/242.48 [6814]E(x68141,f116(x68142))+E(f330(f144(x68142),f330(f330(f141(x68142),x68143),x68141)),f330(f330(f167(x68142),x68141),x68143))+~P1(f330(f330(f240(a930),x68143),f330(f192(f931(x68142)),x68141))) % 242.40/242.48 [6865]~P1(f330(x68651,x68653))+P1(f330(x68651,f379(x68651,x68652)))+~P1(f330(f330(f332(a930),x68653),f330(f305(a930,f2(a930)),x68652))) % 242.40/242.48 [6885]P1(f330(x68851,x68852))+~P1(f330(f330(f240(a930),x68852),x68853))+P1(f330(f330(f332(a930),f377(x68851,x68853)),f330(f305(a930,f2(a930)),x68853))) % 242.40/242.48 [6901]~P127(x69011)+~P1(f330(f330(f239(x69011),f2(x69011)),x69012))+P1(f330(f330(f239(x69011),f2(x69011)),f330(f330(f248(x69011),x69012),x69013))) % 242.40/242.48 [6902]~P127(x69021)+~P1(f330(f330(f239(x69021),f80(x69021)),x69022))+P1(f330(f330(f239(x69021),f80(x69021)),f330(f330(f248(x69021),x69022),x69023))) % 242.40/242.48 [6904]~P127(x69041)+~P1(f330(f330(f240(x69041),f2(x69041)),x69042))+P1(f330(f330(f240(x69041),f2(x69041)),f330(f330(f248(x69041),x69042),x69043))) % 242.40/242.48 [6928]~P1(f330(x69281,x69283))+~P1(f330(f330(f240(a930),x69283),x69282))+P1(f330(f330(f332(a930),f373(x69281,x69282)),f330(f305(a930,f2(a930)),x69282))) % 242.40/242.48 [6936]P1(f330(f63(x69361),x69362))+~P1(f330(f63(x69361),x69363))+~P1(f330(f330(f239(f937(x69361,a925)),x69362),x69363)) % 242.40/242.48 [6943]P1(f330(x69431,x69432))+~P1(f330(x69431,f378(x69431,x69433)))+~P1(f330(f330(f332(a930),x69432),f330(f305(a930,f2(a930)),x69433))) % 242.40/242.48 [6954]E(x69541,f2(a930))+P1(f330(x69542,f468(x69541,x69543,x69542)))+~P1(f330(x69542,f330(f330(f38(a930),x69543),x69541))) % 242.40/242.48 [6961]~P129(x69612)+E(x69611,f2(x69612))+~E(f330(f330(f82(x69612),f330(f330(f83(x69612),x69613),x69613)),f330(f330(f83(x69612),x69611),x69611)),f2(x69612)) % 242.40/242.48 [6962]~P129(x69622)+E(x69621,f2(x69622))+~E(f330(f330(f82(x69622),f330(f330(f83(x69622),x69621),x69621)),f330(f330(f83(x69622),x69623),x69623)),f2(x69622)) % 242.40/242.48 [7006]E(x70061,f2(a930))+~P1(f330(x70062,f469(x70061,x70063,x70062)))+P1(f330(x70062,f330(f330(f38(a930),x70063),x70061))) % 242.40/242.48 [7011]~P112(x70111)+~P16(x70111,x70113)+P16(x70111,f330(f330(f151(x70111,x70111,f5(x70111)),x70112),x70113)) % 242.40/242.48 [7053]P1(f330(x70531,f468(x70532,x70533,x70531)))+P1(f330(x70531,f2(a930)))+~P1(f330(x70531,f330(f330(f38(a930),x70533),x70532))) % 242.40/242.48 [7059]~P98(x70591)+E(f330(f106(x70591),x70592),f330(f106(x70591),x70593))+~P33(x70591,f330(f106(x70591),f330(f330(f82(a1),x70592),f330(f81(a1),x70593)))) % 242.40/242.48 [7122]E(x71221,f2(a1))+E(x71222,f2(a1))+~P1(f330(f51(x71222,x71222),f330(f330(f256(a1,a1),x71223),x71221))) % 242.40/242.48 [7123]E(x71231,f80(a1))+E(x71232,f2(a1))+~P1(f330(f51(x71232,x71232),f330(f330(f256(a1,a1),x71231),x71233))) % 242.40/242.48 [7137]P1(f330(x71371,x71372))+P1(f330(f330(f240(a930),f378(x71371,x71373)),x71373))+~P1(f330(f330(f332(a930),x71372),f330(f305(a930,f2(a930)),x71373))) % 242.40/242.48 [7162]~P1(f330(x71621,f912(x71623,x71622,x71621)))+~P1(f330(x71621,f2(a930)))+P1(f330(x71621,f330(f330(f23(a930),x71622),x71623))) % 242.40/242.48 [7163]~P1(f330(x71631,f913(x71633,x71632,x71631)))+~P1(f330(x71631,f2(a930)))+P1(f330(x71631,f330(f330(f23(a930),x71632),x71633))) % 242.40/242.48 [7164]~P1(f330(x71641,f469(x71643,x71642,x71641)))+~P1(f330(x71641,f2(a930)))+P1(f330(x71641,f330(f330(f38(a930),x71642),x71643))) % 242.40/242.48 [7182]~P1(f330(x71821,x71823))+P1(f330(f330(f240(a930),f379(x71821,x71822)),x71822))+~P1(f330(f330(f332(a930),x71823),f330(f305(a930,f2(a930)),x71822))) % 242.40/242.48 [7183]E(f330(f330(f23(a930),f330(f330(f23(a930),x71831),x71832)),f330(f330(f23(a930),x71833),x71832)),f330(f330(f23(a930),x71831),x71833))+~P1(f330(f330(f239(a930),x71832),x71831))+~P1(f330(f330(f239(a930),x71832),x71833)) % 242.40/242.48 [7219]~P83(x72191)+~P1(f330(f330(f239(x72191),f330(f81(x72191),x72193)),x72192))+P1(f330(f330(f239(x72191),f330(f81(x72191),x72192)),x72193)) % 242.40/242.48 [7221]~P91(x72211)+~P1(f330(f330(f239(x72211),f330(f77(x72211),x72212)),x72213))+P1(f330(f330(f239(x72211),f330(f81(x72211),x72212)),x72213)) % 242.40/242.48 [7223]~P83(x72231)+~P1(f330(f330(f240(x72231),f330(f81(x72231),x72233)),x72232))+P1(f330(f330(f240(x72231),f330(f81(x72231),x72232)),x72233)) % 242.40/242.48 [7224]~P115(x72241)+~P1(f330(f330(f240(x72241),f330(f77(x72241),x72242)),x72243))+P1(f330(f330(f240(x72241),f330(f81(x72241),x72242)),x72243)) % 242.40/242.48 [7255]~P1(f330(x72553,f912(x72552,x72551,x72553)))+P1(f330(f330(f240(a930),x72551),x72552))+P1(f330(x72553,f330(f330(f23(a930),x72551),x72552))) % 242.40/242.48 [7256]~P1(f330(x72563,f913(x72562,x72561,x72563)))+P1(f330(f330(f240(a930),x72561),x72562))+P1(f330(x72563,f330(f330(f23(a930),x72561),x72562))) % 242.40/242.48 [7308]~E(f641(x73083,x73082,x73081),f642(x73083,x73082,x73081))+E(f330(f330(f104(f937(x73081,a925)),x73082),f39(f937(x73081,a925),x73083)),f191(f937(x73081,a925)))+P1(f330(f330(f332(f937(x73081,a925)),x73082),x73083)) % 242.40/242.48 [7316]~P1(f330(f63(x73161),x73163))+P1(f330(f63(x73161),f40(f937(x73161,a925),x73162)))+~P1(f330(f330(f332(f937(x73161,a925)),x73163),x73162)) % 242.40/242.48 [7376]~P112(x73761)+E(f330(f330(f113(f937(x73761,a925)),f330(f305(x73761,x73762),x73763)),f330(f330(f312(x73761),x73763),f191(f937(x73761,a925)))),f306(x73761,x73762,x73763))+~P1(f330(f330(f239(x73761),x73762),x73763)) % 242.40/242.48 [7377]E(x73771,f2(a930))+P1(f330(f330(f240(a930),f472(x73771,x73773,x73772)),x73771))+P1(f330(x73772,f330(f330(f38(a930),x73773),x73771))) % 242.40/242.48 [7406]P1(f330(f330(f240(a930),f330(f192(f931(x74061)),x74062)),f805(x74063,x74061)))+~P1(f330(f63(f931(x74061)),x74063))+~P1(f330(f330(f332(f931(x74061)),x74062),x74063)) % 242.40/242.48 [7412]E(x74121,x74122)+~P1(f330(f330(f239(f937(x74123,a925)),x74121),x74122))+P1(f330(f330(f240(f937(x74123,a925)),x74121),x74122)) % 242.40/242.48 [7424]E(x74241,x74242)+~E(f330(f192(f931(x74243)),x74241),f330(f192(f931(x74243)),x74242))+P1(f330(f330(f240(a930),f669(x74243,x74241,x74242)),f330(f192(f931(x74243)),x74242))) % 242.40/242.48 [7473]P11(x74731,x74732,x74733)+~E(f330(f268(x74731,x74731),x74733),x74732)+~E(f330(f330(f292(x74731,x74731,x74731),f330(f290(x74731,x74731),x74733)),x74733),x74733) % 242.40/242.48 [7555]~P1(f330(x75551,f2(a930)))+P1(f330(f330(f240(a930),f472(x75553,x75552,x75551)),x75553))+P1(f330(x75551,f330(f330(f38(a930),x75552),x75553))) % 242.40/242.48 [7567]~P112(x75671)+E(f330(f330(f113(f937(x75671,a925)),f309(x75671,x75672,x75673)),f330(f330(f312(x75671),x75673),f191(f937(x75671,a925)))),f308(x75671,x75672,x75673))+~P1(f330(f330(f240(x75671),x75672),x75673)) % 242.40/242.48 [7662]~P1(f330(f63(x76621),x76623))+P1(f330(f330(f239(a930),f330(f37(x76621),x76622)),f330(f37(x76621),x76623)))+~P1(f330(f330(f239(f937(x76621,a925)),x76622),x76623)) % 242.40/242.48 [7663]~P1(f330(f63(x76631),x76633))+P1(f330(f330(f240(a930),f330(f37(x76631),x76632)),f330(f37(x76631),x76633)))+~P1(f330(f330(f240(f937(x76631,a925)),x76632),x76633)) % 242.40/242.48 [7703]~P1(f330(x77033,x77032))+P1(f330(f330(f197(x77031),x77032),f494(x77032,x77031,x77033)))+~P1(f330(f330(f197(f31(x77033,x77031)),x77032),x77032)) % 242.40/242.48 [7797]E(x77971,x77972)+~P1(f330(f330(f239(f937(x77973,a925)),x77972),x77971))+~P1(f330(f330(f239(f937(x77973,a925)),x77971),x77972)) % 242.40/242.48 [7800]~P112(x78001)+P16(x78001,x78002)+~P16(x78001,f330(f330(f151(x78001,x78001,f5(x78001)),x78003),x78002)) % 242.40/242.48 [7869]~P1(f330(f330(f240(a930),x78693),x78692))+~P1(f330(f330(f240(a930),x78693),x78691))+P1(f330(f330(f240(a930),f330(f330(f23(a930),x78691),x78692)),f330(f330(f23(a930),x78691),x78693))) % 242.40/242.48 [7870]~P1(f330(f330(f239(a930),x78702),x78701))+~P1(f330(f330(f240(a930),x78701),x78703))+P1(f330(f330(f240(a930),f330(f330(f23(a930),x78701),x78702)),f330(f330(f23(a930),x78703),x78702))) % 242.40/242.48 [7886]~P1(f330(f330(f240(a1),x78862),f2(a1)))+~P1(f330(f330(f239(a1),x78863),x78861))+P1(f330(f330(f239(a1),f330(f330(f38(a1),x78861),x78862)),f330(f330(f38(a1),x78863),x78862))) % 242.40/242.48 [7903]~P1(f330(f330(f240(a930),f2(a930)),x79033))+~P1(f330(f330(f239(a930),x79033),x79032))+P1(f330(f330(f239(a930),f330(f330(f38(a930),x79031),x79032)),f330(f330(f38(a930),x79031),x79033))) % 242.40/242.48 [7904]~P1(f330(f330(f240(a1),f2(a1)),x79042))+~P1(f330(f330(f239(a1),x79041),x79043))+P1(f330(f330(f239(a1),f330(f330(f38(a1),x79041),x79042)),f330(f330(f38(a1),x79043),x79042))) % 242.40/242.48 [7908]~P1(f330(f330(f240(a930),f2(a930)),x79082))+~P1(f330(f330(f240(a930),x79081),x79083))+P1(f330(f330(f240(a930),f330(f330(f83(a930),x79081),x79082)),f330(f330(f83(a930),x79083),x79082))) % 242.40/242.48 [7909]~P1(f330(f330(f240(a930),f2(a930)),x79091))+~P1(f330(f330(f240(a930),x79092),x79093))+P1(f330(f330(f240(a930),f330(f330(f83(a930),x79091),x79092)),f330(f330(f83(a930),x79091),x79093))) % 242.40/242.48 [7910]~P1(f330(f330(f240(a1),f2(a1)),x79101))+~P1(f330(f330(f240(a1),x79102),x79103))+P1(f330(f330(f240(a1),f330(f330(f83(a1),x79101),x79102)),f330(f330(f83(a1),x79101),x79103))) % 242.40/242.48 [7957]E(x79571,f2(a930))+E(f330(f330(f82(a930),f330(f330(f83(a930),x79571),f469(x79571,x79572,x79573))),f472(x79571,x79572,x79573)),x79572)+P1(f330(x79573,f330(f330(f38(a930),x79572),x79571))) % 242.40/242.48 [8019]E(f330(f330(f82(a930),f330(f330(f83(a930),x80191),f469(x80191,x80192,x80193))),f472(x80191,x80192,x80193)),x80192)+~P1(f330(x80193,f2(a930)))+P1(f330(x80193,f330(f330(f38(a930),x80192),x80191))) % 242.40/242.48 [8036]~P1(f330(f63(x80361),x80363))+P1(f330(f330(f332(x80361),f443(x80362,x80363,x80361)),x80363))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f9(x80361,a930),x80362),x80363))) % 242.40/242.48 [8037]~P1(f330(f63(x80371),x80373))+P1(f330(f330(f332(x80371),f477(x80372,x80373,x80371)),x80373))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f9(x80371,a930),x80372),x80373))) % 242.40/242.48 [8342]E(x83421,f191(f937(x83422,a925)))+E(x83421,f330(f330(f312(x83422),x83423),f191(f937(x83422,a925))))+~P1(f330(f330(f239(f937(x83422,a925)),x83421),f330(f330(f312(x83422),x83423),f191(f937(x83422,a925))))) % 242.40/242.48 [8379]~P1(f330(f330(f240(a930),f2(a930)),x83793))+P1(f330(f330(f239(a930),x83791),x83792))+~P1(f330(f330(f239(a930),f330(f330(f83(a930),x83793),x83791)),f330(f330(f83(a930),x83793),x83792))) % 242.40/242.48 [8380]~P1(f330(f330(f240(a930),f2(a930)),x83803))+P1(f330(f330(f239(a930),x83801),x83802))+~P1(f330(f330(f239(a930),f330(f330(f83(a930),x83801),x83803)),f330(f330(f83(a930),x83802),x83803))) % 242.40/242.48 [8382]~P1(f330(f330(f240(a930),f2(a930)),x83823))+P1(f330(f330(f240(a930),x83821),x83822))+~P1(f330(f330(f240(a930),f330(f330(f248(a930),x83823),x83821)),f330(f330(f248(a930),x83823),x83822))) % 242.40/242.48 [8414]~P1(f330(x84141,x84143))+P1(f330(f330(f197(f31(x84141,x84142)),f494(x84143,x84142,x84141)),x84143))+~P1(f330(f330(f197(f31(x84141,x84142)),x84143),x84143)) % 242.40/242.48 [8422]~E(f330(f330(f104(f937(x84221,a925)),f642(x84223,x84222,x84221)),f641(x84223,x84222,x84221)),f191(f937(x84221,a925)))+E(f330(f330(f104(f937(x84221,a925)),x84222),f39(f937(x84221,a925),x84223)),f191(f937(x84221,a925)))+P1(f330(f330(f332(f937(x84221,a925)),x84222),x84223)) % 242.40/242.48 [8436]E(x84361,f116(x84362))+~E(f330(f145(f931(x84362),f931(x84362),f137(x84362),f116(x84362)),x84363),f116(x84362))+~P1(f330(f330(f332(f931(x84362)),x84361),f330(f175(f931(x84362)),x84363))) % 242.40/242.48 [8492]E(x84921,f191(f937(f937(x84922,a925),a925)))+P1(f330(f330(f332(f937(x84922,a925)),f643(x84923,x84921,x84922)),x84921))+P1(f330(f330(f239(f937(x84922,a925)),f40(f937(x84922,a925),x84921)),x84923)) % 242.40/242.48 [8499]~P74(x84991)+~P80(x84991)+E(f330(f330(f6(a1,x84991),f330(f330(f8(a930,x84991,a1),x84992),a107)),f330(f313(a930,a1,f103(a1)),x84993)),f330(f330(f6(a930,x84991),x84992),x84993)) % 242.40/242.48 [8500]~P74(x85001)+~P80(x85001)+E(f330(f330(f9(a1,x85001),f330(f330(f8(a930,x85001,a1),x85002),a107)),f330(f313(a930,a1,f103(a1)),x85003)),f330(f330(f9(a930,x85001),x85002),x85003)) % 242.40/242.48 [8543]~P1(f330(f63(x85431),x85433))+~P1(f330(f330(f240(a930),f2(a930)),f330(x85432,f443(x85432,x85433,x85431))))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f9(x85431,a930),x85432),x85433))) % 242.40/242.48 [8544]~P1(f330(f63(x85441),x85443))+~P1(f330(f330(f240(a930),f2(a930)),f330(x85442,f477(x85442,x85443,x85441))))+P1(f330(f330(f240(a930),f2(a930)),f330(f330(f9(x85441,a930),x85442),x85443))) % 242.40/242.48 [8582]~P71(x85822)+E(x85821,f80(x85822))+E(f330(f330(f293(x85822),f330(f330(f23(x85822),f330(f330(f248(x85822),x85821),x85823)),f80(x85822))),f330(f330(f23(x85822),x85821),f80(x85822))),f330(f330(f6(a930,x85822),f330(f248(x85822),x85821)),f330(f305(a930,f2(a930)),x85823))) % 242.40/242.48 [8640]E(x86401,f2(a930))+~P1(f330(x86403,f330(f330(f38(a930),x86402),x86401)))+P1(f330(f330(f240(a930),x86402),f330(f330(f83(a930),x86401),f330(a115,f468(x86401,x86402,x86403))))) % 242.40/242.48 [8660]P1(f330(x86601,f2(a930)))+~P1(f330(x86601,f330(f330(f38(a930),x86602),x86603)))+P1(f330(f330(f240(a930),x86602),f330(f330(f83(a930),x86603),f330(a115,f468(x86603,x86602,x86601))))) % 242.40/242.48 [8700]E(x87001,f2(a930))+~P1(f330(x87003,f330(f330(f38(a930),x87002),x87001)))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x87001),f468(x87001,x87002,x87003))),x87002)) % 242.40/242.48 [8737]P1(f330(x87371,f2(a930)))+~P1(f330(x87371,f330(f330(f38(a930),x87373),x87372)))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x87372),f468(x87372,x87373,x87371))),x87373)) % 242.40/242.48 [8745]~P112(x87451)+E(f330(f330(f151(x87451,x87451,f5(x87451)),x87452),x87453),f152(x87451,x87451,f5(x87451),x87452,x87453))+P1(f330(f330(f332(x87451),x87452),f330(f175(x87451),x87453))) % 242.40/242.48 [8782]~E(f330(x87823,f570(x87822,x87823,x87821)),f330(x87823,f573(x87822,x87823,x87821)))+~P66(x87821,f330(x87823,f571(x87822,x87823,x87821)))+P66(x87821,f330(f330(f41(x87822,f937(x87821,f937(x87821,a925))),f246(f937(x87822,a925))),x87823)) % 242.40/242.48 [8791]E(x87911,f191(f937(f937(x87912,a925),a925)))+~P1(f330(f330(f239(f937(x87912,a925)),f643(x87913,x87911,x87912)),x87913))+P1(f330(f330(f239(f937(x87912,a925)),f40(f937(x87912,a925),x87911)),x87913)) % 242.40/242.48 [8851]~P73(x88511)+~P1(f330(f330(f240(x88511),x88512),x88513))+P1(f330(f330(f240(x88511),x88512),f330(f330(f293(x88511),f330(f330(f82(x88511),x88512),x88513)),f330(f330(f82(x88511),f80(x88511)),f80(x88511))))) % 242.40/242.48 [8909]~P1(f330(f330(x89091,f504(x89091,x89093,x89092)),f510(x89091,x89093,x89092)))+P1(f330(f330(x89091,x89092),x89093))+~P1(f330(f318(f936(a1,a1),a54),f330(f330(f256(a1,a1),x89092),x89093))) % 242.40/242.48 [8910]~P1(f330(f330(x89101,f511(x89101,x89103,x89102)),f512(x89101,x89103,x89102)))+P1(f330(f330(x89101,x89102),x89103))+~P1(f330(f318(f936(a1,a1),a60),f330(f330(f256(a1,a1),x89102),x89103))) % 242.40/242.48 [8911]~P1(f330(f330(x89111,f514(x89111,x89113,x89112)),f515(x89111,x89113,x89112)))+P1(f330(f330(x89111,x89112),x89113))+~P1(f330(f318(f936(a1,a1),a225),f330(f330(f256(a1,a1),x89112),x89113))) % 242.40/242.48 [8912]~P1(f330(f330(x89121,f517(x89121,x89123,x89122)),f518(x89121,x89123,x89122)))+P1(f330(f330(x89121,x89122),x89123))+~P1(f330(f318(f936(a930,a930),a223),f330(f330(f256(a930,a930),x89122),x89123))) % 242.40/242.48 [8913]~P1(f330(f330(x89131,f698(x89131,x89133,x89132)),f700(x89131,x89133,x89132)))+P1(f330(f330(x89131,x89132),x89133))+~P1(f330(f318(f936(a1,a1),a185),f330(f330(f256(a1,a1),x89132),x89133))) % 242.40/242.48 [8914]~P1(f330(f330(x89141,f796(x89141,x89143,x89142)),f797(x89141,x89143,x89142)))+P1(f330(f330(x89141,x89142),x89143))+~P1(f330(f318(f936(a1,a1),a136),f330(f330(f256(a1,a1),x89142),x89143))) % 242.40/242.48 [9192]P1(f330(f330(x91921,x91922),x91923))+P1(f330(f318(f936(a930,a930),a223),f330(f330(f256(a930,a930),f517(x91921,x91923,x91922)),f518(x91921,x91923,x91922))))+~P1(f330(f318(f936(a930,a930),a223),f330(f330(f256(a930,a930),x91922),x91923))) % 242.40/242.48 [9193]P1(f330(f330(x91931,x91932),x91933))+P1(f330(f318(f936(a1,a1),a54),f330(f330(f256(a1,a1),f504(x91931,x91933,x91932)),f510(x91931,x91933,x91932))))+~P1(f330(f318(f936(a1,a1),a54),f330(f330(f256(a1,a1),x91932),x91933))) % 242.40/242.48 [9194]P1(f330(f330(x91941,x91942),x91943))+P1(f330(f318(f936(a1,a1),a60),f330(f330(f256(a1,a1),f511(x91941,x91943,x91942)),f512(x91941,x91943,x91942))))+~P1(f330(f318(f936(a1,a1),a60),f330(f330(f256(a1,a1),x91942),x91943))) % 242.40/242.48 [9195]P1(f330(f330(x91951,x91952),x91953))+P1(f330(f318(f936(a1,a1),a225),f330(f330(f256(a1,a1),f514(x91951,x91953,x91952)),f515(x91951,x91953,x91952))))+~P1(f330(f318(f936(a1,a1),a225),f330(f330(f256(a1,a1),x91952),x91953))) % 242.40/242.48 [9196]P1(f330(f330(x91961,x91962),x91963))+P1(f330(f318(f936(a1,a1),a185),f330(f330(f256(a1,a1),f698(x91961,x91963,x91962)),f700(x91961,x91963,x91962))))+~P1(f330(f318(f936(a1,a1),a185),f330(f330(f256(a1,a1),x91962),x91963))) % 242.40/242.48 [9197]P1(f330(f330(x91971,x91972),x91973))+P1(f330(f318(f936(a1,a1),a136),f330(f330(f256(a1,a1),f796(x91971,x91973,x91972)),f797(x91971,x91973,x91972))))+~P1(f330(f318(f936(a1,a1),a136),f330(f330(f256(a1,a1),x91972),x91973))) % 242.40/242.48 [9539]~P1(f330(f63(x95391),x95393))+P1(f330(f330(f332(f936(f937(x95391,a925),f937(x95391,a925))),f330(f330(f256(f937(x95391,a925),f937(x95391,a925)),x95392),x95393)),f317(x95391)))+~P1(f330(f330(f240(f937(x95391,a925)),x95392),x95393)) % 242.40/242.48 [9612]~P66(x96121,f330(x96123,f571(x96122,x96123,x96121)))+P66(x96121,f330(f330(f41(x96122,f937(x96121,f937(x96121,a925))),f246(f937(x96122,a925))),x96123))+~E(f330(f330(f104(f937(x96121,a925)),f253(x96121,x96121,f330(x96123,f570(x96122,x96123,x96121)))),f254(x96121,x96121,f330(x96123,f573(x96122,x96123,x96121)))),f191(f937(x96121,a925))) % 242.40/242.48 [9813]P59(x98131,x98132,x98133)+P1(f330(f330(f332(f936(x98131,x98131)),f562(x98133,x98132,x98131)),x98133))+~P1(f330(f330(f332(f936(x98131,x98131)),f330(f330(f256(x98131,x98131),f561(x98133,x98132,x98131)),f561(x98133,x98132,x98131))),x98133)) % 242.40/242.48 [10391]P59(x103911,x103912,x103913)+~P1(f330(f330(f261(x103911,x103911,a925),f330(f330(f7(x103911,f937(x103911,a925),f937(x103911,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x103911,a925),f937(x103911,a925)),x103911),f8(a925,a925,x103911)),f330(f330(f8(a925,f937(a925,a925),x103911),a328),f330(f330(f7(x103911,f937(x103911,a925),a925),f332(x103911)),x103912)))),f330(f330(f7(x103911,f937(x103911,a925),a925),f332(x103911)),x103912))),f562(x103913,x103912,x103911)))+~P1(f330(f330(f332(f936(x103911,x103911)),f330(f330(f256(x103911,x103911),f561(x103913,x103912,x103911)),f561(x103913,x103912,x103911))),x103913)) % 242.40/242.48 [5887]~P67(x58872)+E(x58871,f2(x58872))+E(f330(f330(f38(x58872),f330(f330(f83(x58872),x58873),x58871)),x58871),x58873) % 242.40/242.48 [5888]~P67(x58882)+E(x58881,f2(x58882))+E(f330(f330(f38(x58882),f330(f330(f83(x58882),x58881),x58883)),x58881),x58883) % 242.40/242.48 [6693]~P74(x66931)+~E(f330(x66932,f2(a930)),f2(x66931))+E(f330(f330(f6(a930,x66931),x66932),f330(f305(a930,f330(a115,f2(a930))),x66933)),f330(f330(f6(a930,x66931),x66932),f330(f305(a930,f2(a930)),x66933))) % 242.40/242.48 [6827]~P67(x68272)+E(x68271,f2(x68272))+E(f330(f330(f38(x68272),f330(f330(f82(x68272),x68273),x68271)),x68271),f330(f330(f82(x68272),f330(f330(f38(x68272),x68273),x68271)),f80(x68272))) % 242.40/242.48 [6828]~P67(x68282)+E(x68281,f2(x68282))+E(f330(f330(f38(x68282),f330(f330(f82(x68282),x68281),x68283)),x68281),f330(f330(f82(x68282),f330(f330(f38(x68282),x68283),x68281)),f80(x68282))) % 242.40/242.48 [7042]~P1(f330(x70423,f2(a1)))+P1(f330(f330(f239(a930),x70421),x70422))+P1(f330(x70423,f330(f103(a1),f330(f330(f23(a930),x70422),x70421)))) % 242.40/242.48 [7143]P1(f330(f330(f240(a930),x71432),x71431))+P1(f330(f330(f239(a930),x71431),x71432))+P1(f330(x71433,f330(f103(a1),f330(f330(f23(a930),x71432),x71431)))) % 242.40/242.48 [7217]E(f330(f330(f82(a930),f330(f106(a930),x72171)),f330(f330(f82(a930),f330(f106(a930),x72172)),x72173)),f330(f330(f82(a930),f330(f106(a930),x72171)),x72173))+P1(f330(a196,f330(f106(a1),x72171)))+~P1(f330(a196,f330(f106(a1),x72172))) % 242.40/242.48 [7295]~E(x72952,f330(f330(f38(a930),x72953),x72951))+~P1(f330(f330(f240(a930),f2(a930)),x72951))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x72951),x72952)),x72953)) % 242.40/242.48 [7409]~P1(f330(f63(x74091),x74093))+~P1(f330(f63(x74091),x74092))+P1(f330(f63(x74091),f330(f330(f113(f937(x74091,a925)),x74092),x74093))) % 242.40/242.48 [7458]~P43(x74581,x74583)+~P43(x74581,x74582)+P43(x74581,f330(f330(f104(f937(f936(x74581,x74581),a925)),x74582),x74583)) % 242.40/242.48 [7459]~P58(x74591,x74593)+~P58(x74591,x74592)+P58(x74591,f330(f330(f113(f937(f936(x74591,x74591),a925)),x74592),x74593)) % 242.40/242.48 [7460]~P58(x74601,x74603)+~P58(x74601,x74602)+P58(x74601,f330(f330(f104(f937(f936(x74601,x74601),a925)),x74602),x74603)) % 242.40/242.48 [7715]~P112(x77151)+~P1(f330(f63(x77151),x77152))+E(f142(x77151,f330(f330(f23(f937(x77151,a925)),x77152),f330(f330(f312(x77151),x77153),f191(f937(x77151,a925))))),f173(x77151,x77153,f142(x77151,x77152))) % 242.40/242.48 [7776]P1(f330(x77761,f2(a1)))+~P1(f330(f330(f240(a930),x77762),x77763))+~P1(f330(x77761,f330(f103(a1),f330(f330(f23(a930),x77762),x77763)))) % 242.40/242.48 [7794]~P1(f330(f63(x77941),x77942))+E(f330(f37(x77941),f330(f330(f23(f937(x77941,a925)),x77942),f330(f330(f312(x77941),x77943),f191(f937(x77941,a925))))),f330(f37(x77941),x77942))+P1(f330(f330(f332(x77941),x77943),x77942)) % 242.40/242.48 [7925]~P127(x79251)+~P1(f330(f330(f240(x79251),f80(x79251)),x79252))+P1(f330(f330(f240(x79251),f80(x79251)),f330(f330(f83(x79251),x79252),f330(f330(f248(x79251),x79252),x79253)))) % 242.40/242.48 [7968]~P1(f330(f63(x79681),x79683))+E(f330(f330(f23(a930),f330(f37(x79681),x79682)),f330(f37(x79681),x79683)),f330(f37(x79681),f330(f330(f23(f937(x79681,a925)),x79682),x79683)))+~P1(f330(f330(f239(f937(x79681,a925)),x79683),x79682)) % 242.40/242.48 [8027]~P1(f330(f330(f239(a930),x80272),x80273))+~P1(f330(f330(f239(a930),x80271),f330(f330(f23(a930),x80273),x80272)))+P1(f330(f330(f239(a930),f330(f330(f82(a930),x80271),x80272)),x80273)) % 242.40/242.48 [8084]P1(f330(f63(x80841),x80842))+~P1(f330(f63(x80841),x80843))+~P1(f330(f63(x80841),f330(f330(f23(f937(x80841,a925)),x80842),x80843))) % 242.40/242.48 [8090]~P1(f330(f63(x80901),x80902))+E(f330(f37(x80901),f330(f330(f23(f937(x80901,a925)),x80902),f330(f330(f312(x80901),x80903),f191(f937(x80901,a925))))),f330(f330(f23(a930),f330(f37(x80901),x80902)),f80(a930)))+~P1(f330(f330(f332(x80901),x80903),x80902)) % 242.40/242.48 [8166]P66(x81661,x81662)+~P66(x81661,x81663)+~P1(f330(f330(f239(f937(x81661,f937(x81661,a925))),x81662),x81663)) % 242.40/242.48 [8206]~P1(f330(f330(f239(a930),x82063),x82062))+P1(f330(f330(f239(a930),x82061),f330(f330(f23(a930),x82062),x82063)))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),x82061),x82063)),x82062)) % 242.40/242.48 [8226]P42(x82261,x82262)+~P42(x82261,x82263)+~P1(f330(f330(f239(f937(f936(x82261,x82261),a925)),x82262),x82263)) % 242.40/242.48 [8227]P64(x82271,x82272)+~P64(x82271,x82273)+~P1(f330(f330(f239(f937(f936(x82271,x82271),a925)),x82272),x82273)) % 242.40/242.48 [8228]P44(x82281,x82282)+~P44(x82281,x82283)+~P1(f330(f330(f239(f937(f936(x82281,x82281),a925)),x82282),x82283)) % 242.40/242.48 [8470]~P127(x84701)+~P1(f330(f330(f240(x84701),f80(x84701)),x84702))+P1(f330(f330(f240(x84701),f330(f330(f248(x84701),x84702),x84703)),f330(f330(f83(x84701),x84702),f330(f330(f248(x84701),x84702),x84703)))) % 242.40/242.48 [8564]~P1(f330(x85641,f2(a1)))+~P1(f330(x85641,f330(f330(f23(a1),f330(f103(a1),x85642)),f330(f103(a1),x85643))))+P1(f330(x85641,f330(f103(a1),f330(f330(f23(a930),x85642),x85643)))) % 242.40/242.48 [8579]~P1(f330(f330(f239(a930),x85793),x85792))+P1(f330(x85791,f330(f330(f23(a1),f330(f103(a1),x85792)),f330(f103(a1),x85793))))+~P1(f330(x85791,f330(f103(a1),f330(f330(f23(a930),x85792),x85793)))) % 242.40/242.48 [8598]P1(f330(f330(f240(a930),x85981),x85982))+~P1(f330(x85983,f330(f330(f23(a1),f330(f103(a1),x85981)),f330(f103(a1),x85982))))+P1(f330(x85983,f330(f103(a1),f330(f330(f23(a930),x85981),x85982)))) % 242.40/242.48 [8652]~P129(x86522)+E(x86521,f2(x86522))+P1(f330(f330(f240(x86522),f2(x86522)),f330(f330(f82(x86522),f330(f330(f83(x86522),x86523),x86523)),f330(f330(f83(x86522),x86521),x86521)))) % 242.40/242.48 [8653]~P129(x86532)+E(x86531,f2(x86532))+P1(f330(f330(f240(x86532),f2(x86532)),f330(f330(f82(x86532),f330(f330(f83(x86532),x86531),x86531)),f330(f330(f83(x86532),x86533),x86533)))) % 242.40/242.48 [8762]~P1(f330(f330(f240(a930),f2(a930)),x87621))+~P1(f330(f330(f240(a1),x87622),x87623))+P1(f330(f330(f240(a1),f330(f330(f83(a1),f330(f103(a1),x87621)),x87622)),f330(f330(f83(a1),f330(f103(a1),x87621)),x87623))) % 242.40/242.48 [8820]E(f330(f330(f104(f937(x88201,a925)),x88202),f39(f937(x88201,a925),x88203)),f191(f937(x88201,a925)))+P1(f330(f330(f332(f937(x88201,a925)),x88202),x88203))+P1(f330(f330(f332(f937(x88201,a925)),f642(x88203,x88202,x88201)),f330(f330(f312(f937(x88201,a925)),x88202),x88203))) % 242.40/242.48 [8821]E(f330(f330(f104(f937(x88211,a925)),x88212),f39(f937(x88211,a925),x88213)),f191(f937(x88211,a925)))+P1(f330(f330(f332(f937(x88211,a925)),x88212),x88213))+P1(f330(f330(f332(f937(x88211,a925)),f641(x88213,x88212,x88211)),f330(f330(f312(f937(x88211,a925)),x88212),x88213))) % 242.40/242.48 [8850]E(x88501,x88502)+~E(f330(f192(f931(x88503)),x88501),f330(f192(f931(x88503)),x88502))+P1(f330(f330(f332(f936(x88503,x88503)),f684(x88503,x88501,x88502)),f330(f175(f936(x88503,x88503)),f330(f330(f184(x88503,x88503),x88502),x88501)))) % 242.40/242.48 [9100]E(f310(x91001,x91002),f310(x91001,x91003))+~P1(f330(f330(f239(f937(f936(x91001,x91001),a925)),x91003),f310(x91001,x91002)))+~P1(f330(f330(f239(f937(f936(x91001,x91001),a925)),x91002),x91003)) % 242.40/242.48 [9168]~P59(x91681,f246(f937(x91681,a925)),x91683)+P1(f330(f330(f239(f937(f936(f931(x91681),f931(x91681)),a925)),f160(x91681,x91682)),f161(x91681,x91683)))+~P1(f330(f330(f239(f937(f936(x91681,x91681),a925)),x91682),x91683)) % 242.40/242.48 [9372]P42(x93721,x93722)+~P1(f330(f330(f332(x93721),x93723),f647(x93722,x93721)))+P1(f330(f330(f332(f936(x93721,x93721)),f330(f330(f256(x93721,x93721),f656(x93722,x93721,x93723)),x93723)),x93722)) % 242.40/242.48 [9412]~P1(f330(f63(x94121),x94122))+P1(f330(f63(f937(x94121,a925)),f330(f330(f62(x94121),x94122),x94123)))+~P1(f330(f330(f239(f937(f936(x94121,x94121),a925)),x94123),f330(f330(f258(x94121,x94121),x94122),f330(f16(f937(x94121,a925),x94121),x94122)))) % 242.40/242.48 [9450]P59(x94501,x94502,x94503)+P1(f330(f330(f332(x94501),f547(x94503,x94502,x94501)),x94502))+~P1(f330(f330(f239(f937(f936(x94501,x94501),a925)),x94503),f330(f330(f258(x94501,x94501),x94502),f330(f16(f937(x94501,a925),x94501),x94502)))) % 242.40/242.48 [9451]P59(x94511,x94512,x94513)+P1(f330(f330(f332(x94511),f551(x94512,x94513,x94511)),x94512))+~P1(f330(f330(f239(f937(f936(x94511,x94511),a925)),x94513),f330(f330(f258(x94511,x94511),x94512),f330(f16(f937(x94511,a925),x94511),x94512)))) % 242.40/242.48 [9483]~P73(x94831)+~P1(f330(f330(f240(x94831),x94832),x94833))+P1(f330(f330(f240(x94831),f330(f330(f293(x94831),f330(f330(f82(x94831),x94832),x94833)),f330(f330(f82(x94831),f80(x94831)),f80(x94831)))),x94833)) % 242.40/242.48 [9512]~P72(x95121)+P1(f330(f330(f239(x95121),x95122),x95123))+~P1(f330(f330(f239(x95121),f330(f330(f83(x95121),f448(x95123,x95122,x95121)),x95122)),x95123)) % 242.40/242.48 [9647]E(f330(f192(f931(f931(x96471))),f330(f139(f931(x96471),f330(f330(f8(a930,a925,f931(x96471)),f330(f240(a930),x96472)),f192(f931(x96471)))),f182(x96471,x96473))),f330(f192(f931(x96471)),f330(f330(f167(f931(x96471)),x96473),x96472)))+~P16(a930,f330(f171(a930),f330(f330(f157(f931(x96471),a930),f192(f931(x96471))),x96473)))+~P1(f330(f330(f240(a930),x96472),f330(f192(f931(f931(x96471))),x96473))) % 242.40/242.48 [9760]~P42(x97601,x97602)+P30(x97601,f330(f330(f256(f937(f936(x97601,x97601),a925),f937(f936(x97601,x97601),a925)),x97602),x97603))+~P1(f330(f330(f239(f937(f936(x97601,x97601),a925)),f330(f330(f292(x97601,x97601,x97601),x97602),x97603)),x97602)) % 242.40/242.48 [9766]E(f330(f330(f157(f931(x97661),x97661),f330(f330(f7(f931(x97661),a930,x97661),f167(x97661)),x97662)),f330(f139(f931(x97661),f330(f330(f8(a930,a925,f931(x97661)),f330(f240(a930),x97662)),f192(f931(x97661)))),f182(x97661,x97663))),f330(f330(f167(f931(x97661)),x97663),x97662))+~P16(a930,f330(f171(a930),f330(f330(f157(f931(x97661),a930),f192(f931(x97661))),x97663)))+~P1(f330(f330(f240(a930),x97662),f330(f192(f931(f931(x97661))),x97663))) % 242.40/242.48 [9901]P59(x99011,x99012,x99013)+~P1(f330(f330(f332(f936(x99011,x99011)),f330(f330(f256(x99011,x99011),f547(x99013,x99012,x99011)),f547(x99013,x99012,x99011))),x99013))+~P1(f330(f330(f239(f937(f936(x99011,x99011),a925)),x99013),f330(f330(f258(x99011,x99011),x99012),f330(f16(f937(x99011,a925),x99011),x99012)))) % 242.40/242.48 [9902]P59(x99021,x99022,x99023)+~P1(f330(f330(f332(f936(x99021,x99021)),f330(f330(f256(x99021,x99021),f551(x99022,x99023,x99021)),f551(x99022,x99023,x99021))),x99023))+~P1(f330(f330(f239(f937(f936(x99021,x99021),a925)),x99023),f330(f330(f258(x99021,x99021),x99022),f330(f16(f937(x99021,a925),x99021),x99022)))) % 242.40/242.48 [10070]~P142(x100701)+~P125(x100701)+E(f330(f330(f293(x100701),f330(f105(x100701),f330(f330(f74(f936(a1,a1),a1,x100702,f255(a1,a1)),f216(x100702)),x100703))),f330(f105(x100701),f330(f330(f74(f936(a1,a1),a1,x100702,f260(a1,a1)),f216(x100702)),x100703))),f226(x100702,x100701,x100703)) % 242.40/242.48 [10263]~E(x102633,f2(a930))+~E(f330(f192(f931(x102631)),f330(f330(f167(f931(x102631)),x102632),f732(x102633,x102631,x102632))),x102633)+E(f330(f330(f157(a930,f931(x102631)),f330(f330(f7(a930,f931(a930),f931(x102631)),f330(f330(f8(f937(a930,x102631),f937(f931(a930),f931(x102631)),a930),f157(a930,x102631)),f330(f7(a930,a930,x102631),f330(f330(f8(f931(x102631),f937(a930,x102631),a930),f167(x102631)),f330(f167(f931(x102631)),x102632))))),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(f931(x102631))),x102632))))),f142(a930,f330(f305(a930,f2(a930)),x102633))),f182(x102631,x102632)) % 242.40/242.48 [10264]E(x102641,f116(f931(x102642)))+~E(f330(f192(f931(x102642)),f330(f330(f167(f931(x102642)),x102641),f732(x102643,x102642,x102641))),x102643)+E(f330(f330(f157(a930,f931(x102642)),f330(f330(f7(a930,f931(a930),f931(x102642)),f330(f330(f8(f937(a930,x102642),f937(f931(a930),f931(x102642)),a930),f157(a930,x102642)),f330(f7(a930,a930,x102642),f330(f330(f8(f931(x102642),f937(a930,x102642),a930),f167(x102642)),f330(f167(f931(x102642)),x102641))))),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(f931(x102642))),x102641))))),f142(a930,f330(f305(a930,f2(a930)),x102643))),f182(x102642,x102641)) % 242.40/242.48 [10265]~E(x102653,f2(a930))+E(f330(f330(f157(a930,f931(x102651)),f330(f330(f7(a930,f931(a930),f931(x102651)),f330(f330(f8(f937(a930,x102651),f937(f931(a930),f931(x102651)),a930),f157(a930,x102651)),f330(f7(a930,a930,x102651),f330(f330(f8(f931(x102651),f937(a930,x102651),a930),f167(x102651)),f330(f167(f931(x102651)),x102652))))),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(f931(x102651))),x102652))))),f142(a930,f330(f305(a930,f2(a930)),x102653))),f182(x102651,x102652))+P1(f330(f330(f240(a930),f732(x102653,x102651,x102652)),f330(f192(f931(f931(x102651))),x102652))) % 242.40/242.48 [10266]E(x102661,f116(f931(x102662)))+E(f330(f330(f157(a930,f931(x102662)),f330(f330(f7(a930,f931(a930),f931(x102662)),f330(f330(f8(f937(a930,x102662),f937(f931(a930),f931(x102662)),a930),f157(a930,x102662)),f330(f7(a930,a930,x102662),f330(f330(f8(f931(x102662),f937(a930,x102662),a930),f167(x102662)),f330(f167(f931(x102662)),x102661))))),f142(a930,f330(f305(a930,f2(a930)),f330(f192(f931(f931(x102662))),x102661))))),f142(a930,f330(f305(a930,f2(a930)),x102663))),f182(x102662,x102661))+P1(f330(f330(f240(a930),f732(x102663,x102662,x102661)),f330(f192(f931(f931(x102662))),x102661))) % 242.40/242.48 [7965]E(f330(f330(f82(a930),f330(f106(a930),x79651)),f330(f330(f82(a930),f330(f106(a930),x79652)),x79653)),f330(f330(f82(a930),f330(f106(a930),f330(f330(f82(a1),x79651),x79652))),x79653))+P1(f330(a196,f330(f106(a1),x79651)))+P1(f330(a196,f330(f106(a1),x79652))) % 242.40/242.48 [8754]~P1(f330(f63(x87541),x87542))+~P1(f330(f330(f332(x87541),x87543),x87542))+E(f330(a115,f330(f37(x87541),f330(f330(f23(f937(x87541,a925)),x87542),f330(f330(f312(x87541),x87543),f191(f937(x87541,a925)))))),f330(f37(x87541),x87542)) % 242.40/242.48 [8772]~P1(f330(f63(x87721),x87722))+~P1(f330(f330(f332(x87721),x87723),x87722))+E(f330(f330(f82(a930),f80(a930)),f330(f37(x87721),f330(f330(f23(f937(x87721,a925)),x87722),f330(f330(f312(x87721),x87723),f191(f937(x87721,a925)))))),f330(f37(x87721),x87722)) % 242.40/242.48 [8859]~P112(x88591)+~P1(f330(f63(x88591),x88593))+E(f330(f330(f151(x88591,x88591,f5(x88591)),x88592),f142(x88591,f330(f330(f23(f937(x88591,a925)),x88593),f330(f330(f312(x88591),x88592),f191(f937(x88591,a925)))))),f142(x88591,f330(f330(f312(x88591),x88592),x88593))) % 242.40/242.48 [9025]~P1(f330(f63(x90251),x90253))+~P1(f330(f63(x90251),x90252))+E(f330(f330(f82(a930),f330(f37(x90251),f330(f330(f113(f937(x90251,a925)),x90252),x90253))),f330(f37(x90251),f330(f330(f104(f937(x90251,a925)),x90252),x90253))),f330(f330(f82(a930),f330(f37(x90251),x90252)),f330(f37(x90251),x90253))) % 242.40/242.48 [10212]~P28(x102121,f937(f937(x102121,a925),a925),f330(f330(f7(x102121,f937(f936(x102121,x102121),a925),f937(f937(x102121,a925),a925)),f330(f330(f8(f937(x102121,a925),f937(f937(f936(x102121,x102121),a925),f937(f937(x102121,a925),a925)),x102121),f62(x102121)),f330(f330(f7(x102121,f937(x102121,a925),f937(x102121,a925)),f312(x102121)),f191(f937(x102121,a925))))),x102123),x102122)+~P1(f330(f63(x102121),x102122))+E(f330(f37(f937(x102121,a925)),f330(f330(f62(x102121),x102122),x102123)),f330(f37(x102121),x102122)) % 242.40/242.48 [8243]~P98(x82431)+P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x82433)))+E(f330(f330(f248(x82431),x82432),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),x82433),x82433)),a100))),f80(x82431)) % 242.40/242.48 [9745]~P98(x97451)+~P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),x97453)))+E(f330(f330(f248(x97451),x97452),f330(f106(a930),f330(f330(f23(a1),f330(f330(f82(a1),x97453),x97453)),a100))),f330(f330(f88(x97451,x97451),f330(f330(f248(x97451),x97452),f330(f106(a930),x97453))),f330(f330(f18(x97451,x97451,x97451),f330(f330(f8(x97451,f937(x97451,x97451),x97451),f83(x97451)),f330(f83(x97451),x97452))),f5(x97451)))) % 242.40/242.48 [10132]~P1(f330(f140(x101321),x101323))+~P1(f330(f330(f332(x101321),x101322),f330(f175(x101321),x101323)))+E(f330(f330(f141(x101321),f330(f192(f931(x101321)),f180(x101321,f330(f330(f8(a925,a925,x101321),a325),f330(f330(f7(x101321,x101321,a925),a327),x101322)),f330(f171(x101321),x101323)))),f330(f171(x101321),x101323)),f330(f330(f154(x101321),x101322),f330(f171(x101321),f180(x101321,f330(f330(f8(a925,a925,x101321),a325),f330(f330(f7(x101321,x101321,a925),a327),x101322)),x101323)))) % 242.40/242.48 [10193]P1(f330(f330(f239(f937(f936(x101931,x101931),a925)),f310(x101931,x101932)),x101933))+~P1(f330(f330(f239(f937(f936(x101931,x101931),a925)),f310(x101931,f191(f937(f936(x101931,x101931),a925)))),x101933))+~P1(f330(f330(f239(f937(f936(x101931,x101931),a925)),f330(f330(f292(x101931,x101931,x101931),f330(f330(f104(f937(f936(x101931,x101931),a925)),f310(x101931,x101932)),x101933)),x101932)),x101933)) % 242.40/242.48 [10050]~P1(f330(f63(x100501),f330(f266(x100501),x100503)))+~P1(f330(f63(x100501),f330(f266(x100501),x100502)))+P1(f330(f63(x100501),f330(f266(x100501),f330(f330(f18(x100501,a925,a925),f330(f330(f8(a925,f937(a925,a925),x100501),a329),x100502)),x100503)))) % 242.40/242.48 [10325]P1(f330(f330(f239(f937(f936(x103251,x103251),a925)),f330(f330(f292(x103251,x103251,x103251),x103252),f310(x103251,x103252))),x103253))+~P1(f330(f330(f239(f937(f936(x103251,x103251),a925)),x103252),x103253))+~P1(f330(f330(f239(f937(f936(x103251,x103251),a925)),f330(f330(f292(x103251,x103251,x103251),f330(f330(f104(f937(f936(x103251,x103251),a925)),f330(f330(f292(x103251,x103251,x103251),x103252),f310(x103251,x103252))),x103253)),x103252)),x103253)) % 242.40/242.48 [10279]~P115(x102792)+E(x102791,f2(x102792))+~E(f330(f330(f82(x102792),f330(f330(f248(x102792),x102793),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x102792),x102791),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x102792)) % 242.40/242.48 [10280]~P115(x102802)+E(x102801,f2(x102802))+~E(f330(f330(f82(x102802),f330(f330(f248(x102802),x102801),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x102802),x102803),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x102802)) % 242.40/242.48 [10285]~P1(f330(f140(x102851),x102853))+~P1(f330(f330(f332(x102851),x102852),f330(f175(x102851),x102853)))+E(f330(f171(x102851),f330(f174(x102851),f330(f330(f141(x102851),f330(f192(f931(x102851)),f180(x102851,f330(f330(f8(a925,a925,x102851),a325),f330(f330(f7(x102851,x102851,a925),a327),x102852)),x102853))),x102853))),f180(x102851,f330(f330(f8(a925,a925,x102851),a325),f330(f330(f7(x102851,x102851,a925),a327),x102852)),f330(f171(x102851),x102853))) % 242.40/242.48 [10373]~P115(x103732)+E(x103731,f2(x103732))+P1(f330(f330(f240(x103732),f2(x103732)),f330(f330(f82(x103732),f330(f330(f248(x103732),x103733),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x103732),x103731),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 242.40/242.48 [10374]~P115(x103742)+E(x103741,f2(x103742))+P1(f330(f330(f240(x103742),f2(x103742)),f330(f330(f82(x103742),f330(f330(f248(x103742),x103741),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x103742),x103743),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 242.40/242.48 [10429]~P115(x104291)+P1(f330(f330(f239(x104291),f2(x104291)),x104292))+~P1(f330(f330(f239(x104291),f2(x104291)),f330(f330(f248(x104291),x104292),f330(a115,f330(f330(f83(a930),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),x104293))))) % 242.40/242.48 [5722]~P27(x57221,x57224,x57223)+P27(x57221,x57222,x57223)+~P27(x57221,x57222,x57224) % 242.40/242.48 [5191]~E(x51912,f92(x51913,x51911))+P1(f330(x51911,x51912))+~P1(f330(x51911,x51914)) % 242.40/242.48 [5434]E(f70(x54343,x54342,x54344),x54342)+E(x54341,f759(x54342,x54343,x54344))+~P1(f330(x54344,x54341)) % 242.40/242.48 [6750]E(f70(x67501,x67502,x67503),f87(x67501,x67503))+~E(f799(x67502,x67501,x67503,x67504),x67504)+~P1(f330(x67503,x67504)) % 242.40/242.48 [6955]~P42(x69552,x69554)+~P42(x69551,x69553)+P42(f936(x69551,x69552),f323(x69551,x69552,x69553,x69554)) % 242.40/242.48 [6956]~P43(x69562,x69564)+~P43(x69561,x69563)+P43(f936(x69561,x69562),f323(x69561,x69562,x69563,x69564)) % 242.40/242.48 [8323]~P46(f31(x83234,x83231),x83232,x83233,x83232)+P46(x83231,x83232,x83233,f496(x83233,x83232,x83231,x83234))+~P1(f330(x83234,x83232)) % 242.40/242.48 [8352]~P46(f31(x83521,x83522),x83524,x83523,x83524)+P46(f31(x83521,x83522),f496(x83523,x83524,x83522,x83521),x83523,x83524)+~P1(f330(x83521,x83524)) % 242.40/242.48 [5373]~P10(x53734,x53731)+~E(f330(x53731,x53732),f330(x53731,x53733))+P1(f330(f330(x53731,x53732),x53733)) % 242.40/242.48 [5537]~P10(x55374,x55371)+E(f330(x55371,x55372),f330(x55371,x55373))+~P1(f330(f330(x55371,x55372),x55373)) % 242.40/242.48 [5538]~P18(x55384,x55381)+E(f330(x55381,x55382),f330(x55381,x55383))+~P1(f330(f330(x55381,x55382),x55383)) % 242.40/242.48 [5629]~P21(x56293,x56294,x56291)+E(f330(x56291,x56292),f330(f65(x56293,x56294),x56292))+~P1(f330(f63(x56293),x56292)) % 242.40/242.48 [5630]~P12(x56303,x56304,x56301)+E(f330(x56301,x56302),f330(f65(x56303,x56304),x56302))+~P1(f330(f63(x56303),x56302)) % 242.40/242.48 [5755]~P10(x57554,x57551)+~P1(f330(f330(x57551,x57553),x57552))+P1(f330(f330(x57551,x57552),x57553)) % 242.40/242.48 [5756]~P57(x57564,x57561)+~P1(f330(f330(x57561,x57563),x57562))+P1(f330(f330(x57561,x57562),x57563)) % 242.40/242.48 [5757]~P18(x57574,x57571)+~P1(f330(f330(x57571,x57573),x57572))+P1(f330(f330(x57571,x57572),x57573)) % 242.40/242.48 [5758]~P18(x57583,x57581)+P1(f330(f330(x57581,x57582),x57582))+~P1(f330(f330(x57581,x57584),x57582)) % 242.40/242.48 [5759]~P18(x57593,x57591)+P1(f330(f330(x57591,x57592),x57592))+~P1(f330(f330(x57591,x57592),x57594)) % 242.40/242.48 [5829]E(x58291,x58292)+~E(f330(f255(x58293,x58294),x58291),f330(f255(x58293,x58294),x58292))+~E(f330(f260(x58293,x58294),x58291),f330(f260(x58293,x58294),x58292)) % 242.40/242.48 [5856]E(x58561,x58562)+~P1(f330(f50(x58563,x58564),x58562))+~P1(f330(f50(x58563,x58564),x58561)) % 242.40/242.48 [6047]~P74(x60472)+E(f235(x60471,x60472,x60473,x60474),f2(x60472))+P1(f330(f63(x60471),x60474)) % 242.40/242.48 [6098]~P10(x60983,x60982)+~P1(f330(x60981,x60984))+P1(f330(x60981,f840(x60981,x60982,x60983))) % 242.40/242.48 [6191]~P1(f330(f318(x61911,x61912),x61914))+P1(f330(f318(x61911,x61912),x61913))+~P1(f330(f330(x61912,x61913),x61914)) % 242.40/242.48 [6621]P55(x66211,x66212,x66213,x66214)+P1(f330(f330(x66212,x66214),x66213))+~P1(f330(f330(x66212,x66213),x66214)) % 242.40/242.48 [6989]~P34(x69891,x69893,x69894)+P1(f330(x69891,x69892))+~P1(f330(f330(f332(a1),x69892),f306(a1,x69893,x69894))) % 242.40/242.48 [7179]~P10(x71791,x71793)+~P1(f330(x71792,x71794))+P1(f330(f330(f332(x71791),f840(x71792,x71793,x71791)),f274(x71791,x71793))) % 242.40/242.48 [8079]E(x80791,f2(a930))+~P1(f330(x80792,x80793))+P1(f330(x80792,f794(x80792,x80793,x80791,x80794))) % 242.40/242.48 [8161]~P112(x81612)+~P1(f330(f140(x81611),x81614))+P1(f330(f140(x81611),f153(x81611,x81612,x81613,x81614))) % 242.40/242.48 [8205]E(f70(x82051,x82052,x82053),f87(x82051,x82053))+~P1(f330(x82053,x82054))+P1(f330(x82053,f799(x82052,x82051,x82053,x82054))) % 242.40/242.48 [8395]~P1(f330(f63(x83952),x83954))+~P1(f330(f63(x83951),x83953))+P1(f330(f63(f938(x83951,x83952)),f316(x83951,x83952,x83953,x83954))) % 242.40/242.48 [8396]~P1(f330(f140(x83962),x83964))+~P1(f330(f140(x83961),x83963))+P1(f330(f140(f936(x83961,x83962)),f61(x83961,x83962,x83963,x83964))) % 242.40/242.48 [8399]P1(f330(f330(f332(f931(x83991)),f330(f330(f137(x83991),x83992),x83993)),f164(x83991,x83994)))+~P1(f330(f330(f332(f931(x83991)),x83993),f164(x83991,x83994)))+~P1(f330(f330(f332(f931(x83991)),x83992),f164(x83991,x83994))) % 242.40/242.48 [8685]E(x86851,f2(a930))+P1(f330(x86852,x86853))+~P1(f330(x86852,f795(x86852,x86853,x86851,x86854))) % 242.40/242.48 [8729]~P112(x87293)+~P1(f330(f140(x87291),f153(x87291,x87293,x87294,x87292)))+P1(f330(f140(x87291),x87292)) % 242.40/242.48 [9014]~P1(f330(f330(f332(f936(x90141,x90141)),f330(f330(f256(x90141,x90141),x90142),x90144)),f310(x90141,x90143)))+P1(f330(f330(f332(x90141),x90142),f319(x90141,x90143)))+~P1(f330(f330(f332(x90141),x90144),f319(x90141,x90143))) % 242.40/242.48 [5357]~P74(x53572)+E(f330(f330(f6(x53571,x53572),x53573),x53574),f2(x53572))+P1(f330(f63(x53571),x53574)) % 242.40/242.48 [5360]~P80(x53602)+E(f330(f330(f9(x53601,x53602),x53603),x53604),f80(x53602))+P1(f330(f63(x53601),x53604)) % 242.40/242.48 [5501]~P76(x55013)+E(x55011,x55012)+~E(f330(f330(f82(x55013),x55014),x55011),f330(f330(f82(x55013),x55014),x55012)) % 242.40/242.48 [5502]~P77(x55023)+E(x55021,x55022)+~E(f330(f330(f82(x55023),x55024),x55021),f330(f330(f82(x55023),x55024),x55022)) % 242.40/242.48 [5504]~P76(x55043)+E(x55041,x55042)+~E(f330(f330(f82(x55043),x55041),x55044),f330(f330(f82(x55043),x55042),x55044)) % 242.40/242.48 [5625]~P8(x56253)+E(x56251,f191(f937(x56252,a925)))+E(f330(f330(f41(x56252,x56253),x56251),f330(f16(x56253,x56252),x56254)),x56254) % 242.40/242.48 [5626]~P8(x56263)+E(x56261,f191(f937(x56262,a925)))+E(f330(f330(f42(x56262,x56263),x56261),f330(f16(x56263,x56262),x56264)),x56264) % 242.40/242.48 [5842]~P113(x58423)+E(x58421,x58422)+~E(f306(x58423,x58424,x58421),f330(f330(f312(x58423),x58422),f191(f937(x58423,a925)))) % 242.40/242.48 [5843]~P113(x58433)+E(x58431,x58432)+~E(f306(x58433,x58431,x58432),f330(f330(f312(x58433),x58434),f191(f937(x58433,a925)))) % 242.40/242.48 [5903]~P40(x59033,x59031,x59034)+P40(x59033,x59031,f330(f330(f154(x59033),x59032),x59034))+P1(f330(x59031,x59032)) % 242.40/242.48 [6005]~P36(x60051,x60052,x60054)+~P1(f330(x60052,x60053))+P36(x60051,x60052,f330(f330(f154(x60051),x60053),x60054)) % 242.40/242.48 [6146]P1(f330(x61461,x61462))+~P1(f330(f252(x61463,x61461),x61464))+~P1(f330(f330(f332(x61463),x61462),x61464)) % 242.40/242.48 [6155]~P36(x61551,x61552,x61554)+~P36(x61551,x61552,x61553)+P36(x61551,x61552,f330(f330(f137(x61551),x61553),x61554)) % 242.40/242.48 [6169]P38(x61691,x61692,x61693)+~P38(x61691,x61692,f330(f330(f154(x61691),x61694),x61693))+P1(f330(x61692,x61694)) % 242.40/242.48 [6170]P40(x61701,x61702,x61703)+~P40(x61701,x61702,f330(f330(f154(x61701),x61704),x61703))+P1(f330(x61702,x61704)) % 242.40/242.48 [6181]E(x61811,x61812)+~P1(f330(f330(f197(x61813),x61814),x61812))+~P1(f330(f330(f197(x61813),x61814),x61811)) % 242.40/242.48 [6247]P38(x62471,x62472,x62473)+P38(x62471,x62472,x62474)+~P38(x62471,x62472,f330(f330(f137(x62471),x62474),x62473)) % 242.40/242.48 [6266]~P74(x62661)+E(f330(f330(f6(a930,x62661),x62662),f330(f305(a930,x62663),f330(a115,x62664))),f2(x62661))+~P1(f330(f330(f240(a930),x62664),x62663)) % 242.40/242.48 [6271]~P68(x62711)+~E(f47(x62711,x62712,x62713),f47(x62711,x62714,x62713))+E(f47(x62711,f330(f81(x62711),x62712),x62713),f47(x62711,f330(f81(x62711),x62714),x62713)) % 242.40/242.48 [6340]P1(f330(x63401,x63402))+~E(f330(f139(x63403,x63401),x63404),x63404)+~P1(f330(f330(f332(x63403),x63402),f330(f175(x63403),x63404))) % 242.40/242.48 [6359]~E(f330(f330(f82(a930),x63593),x63592),f330(f330(f82(a930),x63591),x63594))+~P1(f330(f330(f240(a930),x63593),x63594))+P1(f330(f330(f240(a930),x63591),x63592)) % 242.40/242.48 [6366]P38(x63661,x63662,x63663)+~P1(f330(x63662,x63664))+~P1(f330(f330(f332(x63661),x63664),f330(f175(x63661),x63663))) % 242.40/242.48 [6405]~P36(x64053,x64051,x64054)+P1(f330(x64051,x64052))+~P1(f330(f330(f332(x64053),x64052),f330(f175(x64053),x64054))) % 242.40/242.48 [6407]~E(f330(f139(x64071,x64072),x64073),f116(x64071))+~P1(f330(x64072,x64074))+~P1(f330(f330(f332(x64071),x64074),f330(f175(x64071),x64073))) % 242.40/242.48 [6408]~E(f180(x64083,x64081,x64084),x64084)+P1(f330(x64081,x64082))+~P1(f330(f330(f332(x64083),x64082),f330(f175(x64083),x64084))) % 242.40/242.48 [6434]~E(x64344,f191(f937(x64342,a925)))+~E(x64343,f191(f937(x64341,a925)))+E(f316(x64341,x64342,x64343,x64344),f191(f937(f938(x64341,x64342),a925))) % 242.40/242.48 [6579]P1(f330(x65791,x65792))+~P1(f330(f163(x65793,x65791),x65794))+~P1(f330(f330(f332(x65793),x65792),f330(f175(x65793),x65794))) % 242.40/242.48 [6717]~P35(x67171,x67173,x67174)+P1(f330(x67171,x67172))+~P1(f330(f330(f332(a930),x67172),f330(f305(a930,x67173),x67174))) % 242.40/242.48 [6855]~P74(x68551)+E(f330(f330(f6(a930,x68551),x68552),f306(a930,x68553,f330(a115,x68554))),f2(x68551))+~P1(f330(f330(f240(a930),f330(a115,x68554)),x68553)) % 242.40/242.48 [6992]~P112(x69921)+E(f330(f330(f23(f937(x69921,a925)),f330(f305(x69921,x69922),x69923)),f330(f305(x69921,x69922),x69924)),f330(f305(x69921,x69924),x69923))+~P1(f330(f330(f239(x69921),x69922),x69924)) % 242.40/242.48 [7063]~E(x70633,x70634)+E(x70631,f2(a930))+P1(f330(f330(f332(x70632),x70633),f330(f175(x70632),f172(x70632,x70631,x70634)))) % 242.40/242.48 [7341]~P1(f330(f330(f332(f931(x73411)),x73414),f164(x73411,x73413)))+P1(f330(f330(f332(x73411),x73412),x73413))+~P1(f330(f330(f332(x73411),x73412),f330(f175(x73411),x73414))) % 242.40/242.48 [7348]~P42(x73481,x73482)+P1(f330(f330(f332(x73481),f648(x73482,x73481,x73483)),x73483))+~P1(f330(f330(f332(x73481),x73484),x73483)) % 242.40/242.48 [7403]~P74(x74031)+E(f330(f330(f330(f67(x74031,x74032,f82(x74031)),x74033),f2(x74031)),x74034),f330(f330(f6(x74032,x74031),x74033),x74034))+~P1(f330(f63(x74032),x74034)) % 242.40/242.48 [7405]~P80(x74051)+E(f330(f330(f330(f67(x74051,x74052,f83(x74051)),x74053),f80(x74051)),x74054),f330(f330(f9(x74052,x74051),x74053),x74054))+~P1(f330(f63(x74052),x74054)) % 242.40/242.48 [7433]P28(x74331,x74332,x74333,x74334)+~E(f330(f37(x74332),f330(f313(x74331,x74332,x74333),x74334)),f330(f37(x74331),x74334))+~P1(f330(f63(x74331),x74334)) % 242.40/242.48 [7630]~P74(x76301)+E(f330(f330(f82(x76301),f330(x76302,x76303)),f330(f330(f6(a930,x76301),x76302),f308(a930,x76303,x76304))),f330(f330(f6(a930,x76301),x76302),f306(a930,x76303,x76304)))+~P1(f330(f330(f239(a930),x76303),x76304)) % 242.40/242.48 [7640]~P74(x76401)+~P28(x76402,x76401,x76403,x76404)+E(f330(f330(f6(x76401,x76401),f33(x76401)),f330(f313(x76402,x76401,x76403),x76404)),f330(f330(f6(x76402,x76401),x76403),x76404)) % 242.40/242.48 [7641]~P80(x76411)+~P28(x76412,x76411,x76413,x76414)+E(f330(f330(f9(x76411,x76411),f33(x76411)),f330(f313(x76412,x76411,x76413),x76414)),f330(f330(f9(x76412,x76411),x76413),x76414)) % 242.40/242.48 [7696]E(f330(f37(f938(x76961,x76962)),f316(x76961,x76962,x76963,x76964)),f330(f330(f82(a930),f330(f37(x76961),x76963)),f330(f37(x76962),x76964)))+~P1(f330(f63(x76962),x76964))+~P1(f330(f63(x76961),x76963)) % 242.40/242.48 [7777]E(x77771,x77772)+P1(f330(f330(f332(x77773),x77771),f330(f175(x77773),f173(x77773,x77772,x77774))))+~P1(f330(f330(f332(x77773),x77771),f330(f175(x77773),x77774))) % 242.40/242.48 [8004]~P74(x80041)+E(f330(f330(f82(x80041),f330(f330(f6(a930,x80041),x80042),f330(f305(a930,x80043),x80044))),f330(x80042,x80044)),f330(f330(f6(a930,x80041),x80042),f330(f305(a930,x80043),f330(a115,x80044))))+P1(f330(f330(f240(a930),x80044),x80043)) % 242.40/242.48 [8061]~P28(x80611,x80612,x80613,f246(f937(x80611,a925)))+~P1(f330(f63(x80612),x80614))+P1(f330(f63(x80611),f330(f314(x80611,x80612,x80613),x80614))) % 242.40/242.48 [8176]P1(f330(f330(f332(f931(x81761)),f330(f330(f154(x81761),x81762),x81763)),f164(x81761,x81764)))+~P1(f330(f330(f332(f931(x81761)),x81763),f164(x81761,x81764)))+~P1(f330(f330(f332(x81761),x81762),x81764)) % 242.40/242.48 [8267]~E(f330(f313(x82673,x82671,x82674),f246(f937(x82673,a925))),f246(f937(x82671,a925)))+P1(f330(f63(x82671),x82672))+~P1(f330(f63(x82673),f330(f314(x82673,x82671,x82674),x82672))) % 242.40/242.48 [8368]~P28(x83681,x83683,x83684,x83682)+P1(f330(f63(x83681),x83682))+~P1(f330(f63(x83683),f330(f313(x83681,x83683,x83684),x83682))) % 242.40/242.48 [8389]~E(x83892,x83893)+P1(f330(f330(f332(f936(x83891,x83891)),f330(f330(f256(x83891,x83891),x83892),x83893)),f267(x83891,x83894)))+~P1(f330(f330(f332(x83891),x83892),x83894)) % 242.40/242.48 [8423]~P74(x84231)+E(f330(f330(f82(x84231),f330(f330(f6(a930,x84231),x84232),f306(a930,x84233,x84234))),f330(x84232,f330(a115,x84234))),f330(f330(f6(a930,x84231),x84232),f306(a930,x84233,f330(a115,x84234))))+P1(f330(f330(f240(a930),f330(a115,x84234)),x84233)) % 242.40/242.48 [8484]P1(f330(x84841,x84842))+~P1(f330(x84841,f330(f330(f167(x84843),x84844),f683(x84841,x84844,x84843))))+~P1(f330(f330(f332(x84843),x84842),f330(f175(x84843),x84844))) % 242.40/242.48 [8628]~P1(f330(f330(f332(x86281),x86282),f319(x86281,x86284)))+P1(f330(f330(f332(f931(x86281)),f330(f330(f154(x86281),x86282),x86283)),f319(f931(x86281),f160(x86281,x86284))))+~P1(f330(f330(f332(f931(x86281)),x86283),f319(f931(x86281),f160(x86281,x86284)))) % 242.40/242.48 [8643]~P28(x86432,x86433,x86434,f644(x86434,x86433,x86432,x86431))+P28(x86432,x86433,x86434,f40(f937(x86432,a925),x86431))+E(x86431,f191(f937(f937(x86432,a925),a925))) % 242.40/242.48 [8923]E(x89231,x89232)+~P1(f330(f330(f332(f936(x89233,x89233)),f330(f330(f256(x89233,x89233),x89231),x89232)),f310(x89233,x89234)))+P1(f330(f330(f332(x89233),x89231),f330(f268(x89233,x89233),x89234))) % 242.40/242.48 [9208]E(x92081,f2(a930))+P1(f330(x92082,x92083))+P1(f330(f330(f332(x92084),f795(x92082,x92083,x92081,x92084)),f330(f175(x92084),f172(x92084,x92081,x92083)))) % 242.40/242.48 [9220]E(x92201,f2(a930))+~P1(f330(x92203,x92204))+P1(f330(f330(f332(x92202),f794(x92203,x92204,x92201,x92202)),f330(f175(x92202),f172(x92202,x92201,x92204)))) % 242.40/242.48 [9222]~P29(x92221,x92222,x92223,f246(f937(x92221,a925)),f246(f937(x92222,a925)))+~P1(f330(f63(x92222),x92224))+P1(f330(f63(x92221),f330(f314(x92221,x92222,x92223),x92224))) % 242.40/242.48 [9225]P28(x92252,x92253,x92254,f40(f937(x92252,a925),x92251))+E(x92251,f191(f937(f937(x92252,a925),a925)))+P1(f330(f330(f332(f937(x92252,a925)),f644(x92254,x92253,x92252,x92251)),x92251)) % 242.40/242.48 [9342]~P29(x93423,x93421,x93424,f246(f937(x93423,a925)),f246(f937(x93421,a925)))+P1(f330(f63(x93421),x93422))+~P1(f330(f63(x93423),f330(f314(x93423,x93421,x93424),x93422))) % 242.40/242.48 [9359]P1(f330(f63(x93591),x93592))+~P1(f330(f63(x93594),f330(f313(x93591,x93594,x93593),x93592)))+P1(f330(f330(f332(x93591),f369(x93593,x93594,x93592,x93591)),x93592)) % 242.40/242.48 [9461]~P8(x94612)+E(f330(f330(f66(x94611,x94612,f330(f330(f8(x94612,f937(x94612,x94612),x94611),f113(x94612)),x94613)),f191(x94612)),x94614),f330(f330(f41(x94611,x94612),x94614),x94613))+~P1(f330(f63(x94611),x94614)) % 242.40/242.48 [9462]~P8(x94622)+E(f330(f330(f66(x94621,x94622,f330(f330(f8(x94622,f937(x94622,x94622),x94621),f104(x94622)),x94623)),f246(x94622)),x94624),f330(f330(f42(x94621,x94622),x94624),x94623))+~P1(f330(f63(x94621),x94624)) % 242.40/242.48 [9542]P1(f330(x95421,x95422))+~P1(f330(x95421,f330(f330(f167(x95423),x95424),f719(x95422,x95421,x95424,x95423))))+~P1(f330(f330(f332(x95423),x95422),f330(f175(x95423),x95424))) % 242.40/242.48 [9563]E(x95631,x95632)+~P1(f330(f330(f332(f936(x95633,x95633)),f330(f330(f256(x95633,x95633),x95631),x95632)),f310(x95633,x95634)))+P1(f330(f330(f332(f936(x95633,x95633)),f330(f330(f256(x95633,x95633),x95631),x95632)),f330(f330(f292(x95633,x95633,x95633),x95634),f310(x95633,x95634)))) % 242.40/242.48 [9613]~E(f330(f192(f931(x96131)),x96132),f330(f192(f931(x96131)),x96133))+~P1(f330(f330(f332(f936(f931(x96131),f931(x96131))),f330(f330(f256(f931(x96131),f931(x96131)),x96132),x96133)),f150(x96131,x96134)))+P1(f330(f330(f332(f936(f931(x96131),f931(x96131))),f330(f330(f256(f931(x96131),f931(x96131)),x96132),x96133)),f148(x96131,x96134))) % 242.40/242.48 [9849]P36(x98491,f330(f330(f18(x98491,a925,a925),f330(f330(f8(a925,f937(a925,a925),x98491),a329),f330(f330(f8(a925,a925,x98491),a325),x98492))),f330(a327,x98493)),x98494)+~P1(f330(x98492,x98493))+~P40(x98491,x98492,f330(f330(f154(x98491),x98493),x98494)) % 242.40/242.48 [10014]~P36(x100141,f330(f330(f18(x100141,a925,a925),f330(f330(f8(a925,f937(a925,a925),x100141),a329),f330(f330(f8(a925,a925,x100141),a325),x100142))),f330(a327,x100143)),x100144)+~P1(f330(x100142,x100143))+P40(x100141,x100142,f330(f330(f154(x100141),x100143),x100144)) % 242.40/242.48 [10018]~P40(x100181,x100182,x100184)+~P36(x100181,f330(f330(f18(x100181,a925,a925),f330(f330(f8(a925,f937(a925,a925),x100181),a329),f330(f330(f8(a925,a925,x100181),a325),x100182))),f330(a327,x100183)),x100184)+P40(x100181,x100182,f330(f330(f154(x100181),x100183),x100184)) % 242.40/242.48 [10051]~P6(x100511)+E(f330(f330(f6(a930,x100511),f330(f330(f18(a930,x100511,x100511),f330(f330(f8(x100511,f937(x100511,x100511),a930),f23(x100511)),x100512)),f330(f330(f8(a930,x100511,a930),x100512),f330(f330(f7(a930,a930,a930),f82(a930)),f80(a930))))),f306(a930,x100513,x100514)),f2(x100511))+P1(f330(f330(f239(a930),x100513),x100514)) % 242.40/242.48 [10278]~P42(x102782,x102784)+~P28(x102782,x102781,x102783,f246(f937(x102782,a925)))+P42(x102781,f330(f313(f936(x102782,x102782),f936(x102781,x102781),f262(x102782,x102781,x102782,x102781,x102783,x102783)),x102784)) % 242.40/242.48 [10464]~E(f330(f192(f931(x104641)),x104643),f330(f192(f931(x104641)),x104642))+P1(f330(f330(f332(f936(f931(x104641),f931(x104641))),f330(f330(f256(f931(x104641),f931(x104641)),x104642),x104643)),f161(x104641,x104644)))+~P1(f330(f330(f261(x104641,x104641,a925),f330(f330(f7(x104641,f937(f936(x104641,x104641),a925),f937(x104641,a925)),f330(f330(f8(f937(x104641,f937(f937(f936(x104641,x104641),a925),a925)),f937(f937(f936(x104641,x104641),a925),f937(x104641,a925)),x104641),f7(x104641,f937(f936(x104641,x104641),a925),a925)),f330(f330(f8(f937(x104641,f936(x104641,x104641)),f937(x104641,f937(f937(f936(x104641,x104641),a925),a925)),x104641),f330(f8(f936(x104641,x104641),f937(f937(f936(x104641,x104641),a925),a925),x104641),f332(f936(x104641,x104641)))),f256(x104641,x104641)))),x104644)),f685(x104644,x104643,x104642,x104641))) % 242.40/242.48 [6229]~E(x62294,x62292)+P1(f330(x62291,x62292))+P1(f330(f330(f197(f31(x62291,x62293)),x62292),x62294)) % 242.40/242.48 [6321]~P67(x63211)+~E(x63212,f2(x63211))+E(f330(f330(f38(x63211),f330(f330(f83(x63211),x63212),x63213)),f330(f330(f83(x63211),x63212),x63214)),f2(x63211)) % 242.40/242.48 [6363]E(x63631,f116(x63632))+E(x63633,f330(f330(f23(a930),f330(f192(f931(x63632)),x63631)),f80(a930)))+E(f147(x63632,f330(f330(f162(x63632,x63631),x63633),x63634)),f147(x63632,x63631)) % 242.40/242.48 [6396]E(x63961,x63962)+P1(f330(x63963,x63962))+~P1(f330(f330(f330(f312(x63964),x63961),x63963),x63962)) % 242.40/242.48 [6412]~P74(x64121)+~P1(f330(f140(x64122),x64124))+E(f330(f168(x64121),f330(f330(f157(x64122,x64121),x64123),x64124)),f330(f330(f6(x64122,x64121),x64123),f330(f175(x64122),x64124))) % 242.40/242.48 [6427]~P80(x64272)+~P1(f330(f63(x64271),x64274))+E(f330(f330(f9(x64271,x64272),f330(f16(x64272,x64271),x64273)),x64274),f330(f330(f248(x64272),x64273),f330(f37(x64271),x64274))) % 242.40/242.48 [6480]~P70(x64802)+E(x64801,f2(x64802))+E(f330(f330(f293(x64802),f330(f330(f83(x64802),x64803),x64801)),f330(f330(f83(x64802),x64804),x64801)),f330(f330(f293(x64802),x64803),x64804)) % 242.40/242.48 [6481]~P70(x64812)+E(x64811,f2(x64812))+E(f330(f330(f293(x64812),f330(f330(f83(x64812),x64811),x64813)),f330(f330(f83(x64812),x64811),x64814)),f330(f330(f293(x64812),x64813),x64814)) % 242.40/242.48 [6482]~P67(x64822)+E(x64821,f2(x64822))+E(f330(f330(f38(x64822),f330(f330(f83(x64822),x64823),x64821)),f330(f330(f83(x64822),x64824),x64821)),f330(f330(f38(x64822),x64823),x64824)) % 242.40/242.48 [6484]~P67(x64842)+E(x64841,f2(x64842))+E(f330(f330(f38(x64842),f330(f330(f83(x64842),x64841),x64843)),f330(f330(f83(x64842),x64841),x64844)),f330(f330(f38(x64842),x64843),x64844)) % 242.40/242.48 [6548]P1(f330(x65481,x65482))+~E(x65483,f330(f330(f82(a930),x65484),x65482))+~P1(f330(x65481,f330(f330(f23(a930),x65483),x65484))) % 242.40/242.48 [6631]P32(x66311,x66312,x66313)+P31(x66311,f568(x66313,x66312,x66311),x66314)+~P1(f330(f330(f332(f929(x66311)),x66314),x66312)) % 242.40/242.48 [6634]~P1(f330(x66342,x66343))+~P1(f330(f163(x66341,x66342),x66344))+P1(f330(f163(x66341,x66342),f330(f330(f154(x66341),x66343),x66344))) % 242.40/242.48 [6676]E(x66761,f116(x66762))+~E(x66763,f330(f330(f23(a930),f330(f192(f931(x66762)),x66761)),f80(a930)))+E(f147(x66762,f330(f330(f162(x66762,x66761),x66763),x66764)),x66764) % 242.40/242.48 [6699]~P105(x66991)+~P1(f330(f330(f239(x66991),x66992),x66994))+P1(f330(f330(f239(x66991),x66992),f330(f330(f113(x66991),x66993),x66994))) % 242.40/242.48 [6700]~P105(x67001)+~P1(f330(f330(f239(x67001),x67002),x67003))+P1(f330(f330(f239(x67001),x67002),f330(f330(f113(x67001),x67003),x67004))) % 242.40/242.48 [6702]~P112(x67021)+~P1(f330(f330(f239(x67021),x67022),x67024))+P1(f330(f330(f239(x67021),x67022),f330(f330(f238(x67021),x67023),x67024))) % 242.40/242.48 [6704]~P112(x67041)+~P1(f330(f330(f239(x67041),x67042),x67043))+P1(f330(f330(f239(x67041),x67042),f330(f330(f238(x67041),x67043),x67044))) % 242.40/242.48 [6705]~P105(x67051)+~P1(f330(f330(f240(x67051),x67052),x67054))+P1(f330(f330(f240(x67051),x67052),f330(f330(f113(x67051),x67053),x67054))) % 242.40/242.48 [6706]~P105(x67061)+~P1(f330(f330(f240(x67061),x67062),x67063))+P1(f330(f330(f240(x67061),x67062),f330(f330(f113(x67061),x67063),x67064))) % 242.40/242.48 [6708]~P112(x67081)+~P1(f330(f330(f240(x67081),x67082),x67084))+P1(f330(f330(f240(x67081),x67082),f330(f330(f238(x67081),x67083),x67084))) % 242.40/242.48 [6710]~P112(x67101)+~P1(f330(f330(f240(x67101),x67102),x67103))+P1(f330(f330(f240(x67101),x67102),f330(f330(f238(x67101),x67103),x67104))) % 242.40/242.48 [6800]~E(f330(f330(f167(x68001),x68002),x68003),x68004)+E(f330(f330(f162(x68001,x68002),x68003),x68004),x68002)+~P1(f330(f330(f240(a930),x68003),f330(f192(f931(x68001)),x68002))) % 242.40/242.48 [6818]E(x68181,x68182)+P1(f330(x68183,x68181))+~P1(f330(f330(f197(f31(x68183,x68184)),x68181),x68182)) % 242.40/242.48 [6841]P1(f330(x68411,x68412))+~P1(f330(x68413,x68412))+~P1(f330(f330(f239(f937(x68414,a925)),x68413),x68411)) % 242.40/242.48 [6872]~E(f330(f330(f162(x68721,x68722),x68723),x68724),x68722)+E(f330(f330(f167(x68721),x68722),x68723),x68724)+~P1(f330(f330(f240(a930),x68723),f330(f192(f931(x68721)),x68722))) % 242.40/242.48 [6886]~P1(f330(f163(x68861,x68862),x68864))+~P1(f330(f163(x68861,x68862),x68863))+P1(f330(f163(x68861,x68862),f330(f330(f137(x68861),x68863),x68864))) % 242.40/242.48 [6981]P31(x69811,x69812,x69813)+~P31(x69811,f330(a115,x69812),f569(x69812,x69814,x69811))+~P1(f330(f330(f332(f929(x69811)),x69813),x69814)) % 242.40/242.48 [6988]E(x69881,f191(f937(x69882,a925)))+E(x69883,f191(f937(x69884,a925)))+~E(f330(f330(f258(x69884,x69882),x69883),f330(f16(f937(x69882,a925),x69884),x69881)),f191(f937(f936(x69884,x69882),a925))) % 242.40/242.48 [7008]E(x70081,x70082)+P1(f330(f330(f332(x70083),x70081),x70084))+~P1(f330(f330(f332(x70083),x70081),f330(f330(f312(x70083),x70082),x70084))) % 242.40/242.48 [7025]~P112(x70251)+P1(f330(f330(f239(x70251),x70252),x70253))+~P1(f330(f330(f239(x70251),x70252),f330(f330(f237(x70251),x70254),x70253))) % 242.40/242.48 [7027]~P112(x70271)+P1(f330(f330(f239(x70271),x70272),x70273))+~P1(f330(f330(f239(x70271),x70272),f330(f330(f237(x70271),x70273),x70274))) % 242.40/242.48 [7029]~P106(x70291)+P1(f330(f330(f239(x70291),x70292),x70293))+~P1(f330(f330(f239(x70291),x70292),f330(f330(f104(x70291),x70294),x70293))) % 242.40/242.48 [7031]~P106(x70311)+P1(f330(f330(f239(x70311),x70312),x70313))+~P1(f330(f330(f239(x70311),x70312),f330(f330(f104(x70311),x70313),x70314))) % 242.40/242.48 [7032]~P112(x70321)+P1(f330(f330(f240(x70321),x70322),x70323))+~P1(f330(f330(f240(x70321),x70322),f330(f330(f237(x70321),x70324),x70323))) % 242.40/242.48 [7033]~P112(x70331)+P1(f330(f330(f240(x70331),x70332),x70333))+~P1(f330(f330(f240(x70331),x70332),f330(f330(f237(x70331),x70333),x70334))) % 242.40/242.48 [7054]~E(f330(f330(f167(x70541),x70543),x70544),x70542)+P1(f330(f330(f332(x70541),x70542),f330(f175(x70541),x70543)))+~P1(f330(f330(f240(a930),x70544),f330(f192(f931(x70541)),x70543))) % 242.40/242.48 [7064]~P112(x70641)+~P16(x70641,f330(f330(f154(x70641),x70642),f330(f330(f154(x70641),x70643),x70644)))+P1(f330(f330(f239(x70641),x70642),x70643)) % 242.40/242.48 [7207]~P36(x72072,x72071,x72073)+P1(f330(x72071,f330(f330(f167(x72072),x72073),x72074)))+~P1(f330(f330(f240(a930),x72074),f330(f192(f931(x72072)),x72073))) % 242.40/242.48 [7225]E(x72251,f2(a1))+E(f330(f330(f38(a1),x72252),x72251),x72253)+~P1(f330(f51(x72252,x72251),f330(f330(f256(a1,a1),x72253),x72254))) % 242.40/242.48 [7246]E(f47(a1,x72462,x72461),x72463)+E(x72461,f2(a1))+~P1(f330(f51(x72462,x72461),f330(f330(f256(a1,a1),x72464),x72463))) % 242.40/242.48 [7365]P1(f330(f330(f332(x73651),x73652),x73653))+~P1(f330(f330(f332(x73651),x73652),x73654))+~P1(f330(f330(f240(f937(x73651,a925)),x73654),x73653)) % 242.40/242.48 [7366]P1(f330(f330(f332(x73661),x73662),x73663))+~P1(f330(f330(f332(x73661),x73662),x73664))+~P1(f330(f330(f239(f937(x73661,a925)),x73664),x73663)) % 242.40/242.48 [7477]P38(x74771,x74772,x74773)+~P1(f330(x74772,f330(f330(f167(x74771),x74773),x74774)))+~P1(f330(f330(f240(a930),x74774),f330(f192(f931(x74771)),x74773))) % 242.40/242.48 [7598]~P111(x75982)+~P1(f330(f330(f240(f937(x75981,x75982)),x75983),x75984))+P1(f330(f330(f239(f937(x75981,x75982)),x75983),x75984)) % 242.40/242.48 [7685]~P27(x76851,x76852,x76854)+P27(x76851,x76852,f330(f330(f312(f929(x76851)),x76853),x76854))+~P27(x76851,x76852,f330(f330(f312(f929(x76851)),x76853),f191(f937(f929(x76851),a925)))) % 242.40/242.48 [7728]~P1(f330(f330(f332(x77281),x77282),x77284))+P1(f330(f330(f332(x77281),x77282),f39(f937(x77281,a925),x77283)))+~P1(f330(f330(f332(f937(x77281,a925)),x77284),x77283)) % 242.40/242.48 [7738]P31(x77381,x77382,x77383)+P1(f330(f330(f332(f929(x77381)),f569(x77382,x77384,x77381)),x77384))+~P1(f330(f330(f332(f929(x77381)),x77383),x77384)) % 242.40/242.48 [7757]~P90(x77571)+~P1(f330(f330(f239(x77571),x77573),x77574))+P1(f330(f330(f239(x77571),f330(f330(f82(x77571),x77572),x77573)),f330(f330(f82(x77571),x77572),x77574))) % 242.40/242.48 [7758]~P93(x77581)+~P1(f330(f330(f239(x77581),x77583),x77584))+P1(f330(f330(f239(x77581),f330(f330(f82(x77581),x77582),x77583)),f330(f330(f82(x77581),x77582),x77584))) % 242.40/242.48 [7759]~P90(x77591)+~P1(f330(f330(f239(x77591),x77592),x77594))+P1(f330(f330(f239(x77591),f330(f330(f82(x77591),x77592),x77593)),f330(f330(f82(x77591),x77594),x77593))) % 242.40/242.48 [7760]~P93(x77601)+~P1(f330(f330(f239(x77601),x77602),x77604))+P1(f330(f330(f239(x77601),f330(f330(f82(x77601),x77602),x77603)),f330(f330(f82(x77601),x77604),x77603))) % 242.40/242.48 [7761]~P92(x77611)+~P1(f330(f330(f240(x77611),x77613),x77614))+P1(f330(f330(f240(x77611),f330(f330(f82(x77611),x77612),x77613)),f330(f330(f82(x77611),x77612),x77614))) % 242.40/242.48 [7762]~P93(x77621)+~P1(f330(f330(f240(x77621),x77623),x77624))+P1(f330(f330(f240(x77621),f330(f330(f82(x77621),x77622),x77623)),f330(f330(f82(x77621),x77622),x77624))) % 242.40/242.48 [7763]~P92(x77631)+~P1(f330(f330(f240(x77631),x77632),x77634))+P1(f330(f330(f240(x77631),f330(f330(f82(x77631),x77632),x77633)),f330(f330(f82(x77631),x77634),x77633))) % 242.40/242.48 [7764]~P93(x77641)+~P1(f330(f330(f240(x77641),x77642),x77644))+P1(f330(f330(f240(x77641),f330(f330(f82(x77641),x77642),x77643)),f330(f330(f82(x77641),x77644),x77643))) % 242.40/242.48 [7771]~P126(x77711)+~P99(x77711)+E(f330(f330(f23(x77711),f330(f330(f83(x77711),x77712),f330(f106(x77711),x77713))),f330(f330(f83(x77711),x77714),f330(f106(x77711),x77713))),f330(f330(f83(x77711),f330(f330(f23(x77711),x77712),x77714)),f330(f106(x77711),x77713))) % 242.40/242.48 [7772]~P145(x77721)+~P99(x77721)+E(f330(f330(f82(x77721),f330(f330(f83(x77721),x77722),f330(f106(x77721),x77723))),f330(f330(f83(x77721),x77724),f330(f106(x77721),x77723))),f330(f330(f83(x77721),f330(f330(f82(x77721),x77722),x77724)),f330(f106(x77721),x77723))) % 242.40/242.48 [7808]~P74(x78081)+E(f330(f330(f82(x78081),f330(x78082,x78083)),f330(f330(f6(a930,x78081),x78082),f306(a930,f330(a115,x78083),x78084))),f330(f330(f6(a930,x78081),x78082),f306(a930,x78083,x78084)))+~P1(f330(f330(f239(a930),x78083),x78084)) % 242.40/242.48 [7820]~P28(x78202,x78201,x78203,f330(f175(x78202),x78204))+~P1(f330(f140(x78202),x78204))+P1(f330(f140(x78201),f330(f330(f157(x78202,x78201),x78203),x78204))) % 242.40/242.48 [7867]~P1(f330(f330(f239(a930),x78672),x78674))+~P1(f330(f330(f239(a930),x78671),x78673))+P1(f330(f330(f239(a930),f330(f330(f82(a930),x78671),x78672)),f330(f330(f82(a930),x78673),x78674))) % 242.40/242.48 [7868]~P1(f330(f330(f239(a930),x78682),x78684))+~P1(f330(f330(f239(a930),x78681),x78683))+P1(f330(f330(f239(a930),f330(f330(f83(a930),x78681),x78682)),f330(f330(f83(a930),x78683),x78684))) % 242.40/242.48 [7871]~P1(f330(f330(f240(a930),x78712),x78714))+~P1(f330(f330(f240(a930),x78711),x78713))+P1(f330(f330(f240(a930),f330(f330(f82(a930),x78711),x78712)),f330(f330(f82(a930),x78713),x78714))) % 242.40/242.48 [7872]~P1(f330(f330(f239(a1),x78722),x78724))+~P1(f330(f330(f240(a1),x78721),x78723))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x78721),x78722)),f330(f330(f82(a1),x78723),x78724))) % 242.40/242.48 [7920]P1(f330(f330(f332(x79201),x79202),x79203))+~P1(f330(f330(f332(x79201),x79202),f40(f937(x79201,a925),x79204)))+~P1(f330(f330(f332(f937(x79201,a925)),x79203),x79204)) % 242.40/242.48 [7936]~P1(f330(x79361,f680(x79361,x79363,x79362)))+P1(f330(x79361,f330(f330(f167(x79362),x79363),x79364)))+~P1(f330(f330(f240(a930),x79364),f330(f192(f931(x79362)),x79363))) % 242.40/242.48 [7941]P1(f330(x79411,x79412))+~P1(f330(f330(f332(x79414),x79412),f330(f175(x79414),x79413)))+P1(f330(f330(f240(a930),f683(x79411,x79413,x79414)),f330(f192(f931(x79414)),x79413))) % 242.40/242.48 [7958]~P1(f330(f330(f197(x79582),x79583),x79584))+~P1(f330(f330(f197(f31(x79581,x79582)),x79584),x79583))+P1(f330(f330(f197(f31(x79581,x79582)),x79583),x79583)) % 242.40/242.48 [7989]~P111(x79891)+~P1(f330(f330(f240(f937(x79892,x79891)),x79894),x79893))+~P1(f330(f330(f239(f937(x79892,x79891)),x79893),x79894)) % 242.40/242.48 [8034]~P1(f330(x80344,x80342))+~P1(f330(f330(f332(x80341),x80342),x80343))+P1(f330(f330(f332(x80341),x80342),f330(f330(f104(f937(x80341,a925)),x80343),f330(f266(x80341),x80344)))) % 242.40/242.48 [8183]~P1(f330(f330(f332(x81831),x81833),x81834))+~P1(f330(f330(f240(f937(x81831,a925)),x81832),x81834))+P1(f330(f330(f240(f937(x81831,a925)),x81832),f330(f330(f312(x81831),x81833),x81834))) % 242.40/242.48 [8185]E(f330(f330(f104(f937(x81851,a925)),x81852),x81853),f191(f937(x81851,a925)))+~E(f330(f330(f104(f937(x81851,a925)),f39(f937(x81851,a925),x81854)),x81853),f191(f937(x81851,a925)))+~P1(f330(f330(f332(f937(x81851,a925)),x81852),x81854)) % 242.40/242.48 [8263]P1(f330(f330(f332(x82631),x82632),x82633))+~P1(f330(f330(f239(f937(x82631,a925)),x82633),f330(f330(f312(x82631),x82632),x82634)))+P1(f330(f330(f239(f937(x82631,a925)),x82633),x82634)) % 242.40/242.48 [8285]P1(f330(f330(f332(x82852),f680(x82851,x82853,x82852)),f330(f175(x82852),x82853)))+P1(f330(x82851,f330(f330(f167(x82852),x82853),x82854)))+~P1(f330(f330(f240(a930),x82854),f330(f192(f931(x82852)),x82853))) % 242.40/242.48 [8293]~P1(f330(f330(f239(f937(x82931,a925)),x82932),x82934))+P1(f330(f330(f239(f937(x82931,a925)),x82932),x82933))+~P1(f330(f330(f239(f937(x82931,a925)),x82934),x82933)) % 242.40/242.48 [8294]~P1(f330(f330(f240(f937(x82941,a925)),x82942),x82944))+~P1(f330(f330(f239(f937(x82941,a925)),x82944),x82943))+P1(f330(f330(f240(f937(x82941,a925)),x82942),x82943)) % 242.40/242.48 [8295]~P1(f330(f330(f239(f937(x82951,a925)),x82952),x82954))+~P1(f330(f330(f240(f937(x82951,a925)),x82954),x82953))+P1(f330(f330(f240(f937(x82951,a925)),x82952),x82953)) % 242.40/242.48 [8296]~P1(f330(f330(f240(f937(x82961,a925)),x82962),x82964))+P1(f330(f330(f240(f937(x82961,a925)),x82962),x82963))+~P1(f330(f330(f240(f937(x82961,a925)),x82964),x82963)) % 242.40/242.48 [8341]~P1(f330(f330(f332(x83411),x83414),x83413))+~P1(f330(f330(f240(f937(x83411,a925)),x83412),f330(f330(f312(x83411),x83414),x83413)))+P1(f330(f330(f240(f937(x83411,a925)),x83412),x83413)) % 242.40/242.48 [8354]~P93(x83541)+P1(f330(f330(f239(x83541),x83542),x83543))+~P1(f330(f330(f239(x83541),f330(f330(f82(x83541),x83544),x83542)),f330(f330(f82(x83541),x83544),x83543))) % 242.40/242.48 [8356]~P93(x83561)+P1(f330(f330(f239(x83561),x83562),x83563))+~P1(f330(f330(f239(x83561),f330(f330(f82(x83561),x83562),x83564)),f330(f330(f82(x83561),x83563),x83564))) % 242.40/242.48 [8358]~P93(x83581)+P1(f330(f330(f240(x83581),x83582),x83583))+~P1(f330(f330(f240(x83581),f330(f330(f82(x83581),x83584),x83582)),f330(f330(f82(x83581),x83584),x83583))) % 242.40/242.48 [8360]~P93(x83601)+P1(f330(f330(f240(x83601),x83602),x83603))+~P1(f330(f330(f240(x83601),f330(f330(f82(x83601),x83602),x83604)),f330(f330(f82(x83601),x83603),x83604))) % 242.40/242.48 [8406]P1(f330(x84061,x84062))+~E(f330(f330(f141(x84063),f330(f192(f931(x84063)),f180(x84063,x84061,x84064))),x84064),f116(x84063))+~P1(f330(f330(f332(x84063),x84062),f330(f175(x84063),x84064))) % 242.40/242.48 [8527]P1(f330(x85271,x85272))+~P1(f330(f330(f332(x85273),x85272),f330(f175(x85273),x85274)))+P1(f330(f330(f240(a930),f330(f192(f931(x85273)),f330(f139(x85273,x85271),x85274))),f330(f192(f931(x85273)),x85274))) % 242.40/242.48 [8661]E(x86611,x86612)+P1(f330(f330(f197(x86613),x86611),f495(x86612,x86611,x86613,x86614)))+~P1(f330(f330(f197(f31(x86614,x86613)),x86611),x86612)) % 242.40/242.48 [8690]~P1(f330(x86904,x86902))+P1(f330(f330(f197(x86901),x86902),f495(x86903,x86902,x86901,x86904)))+~P1(f330(f330(f197(f31(x86904,x86901)),x86902),x86903)) % 242.40/242.48 [9030]~P1(f330(x90301,f773(x90301,x90303,x90302,x90304)))+P1(f330(x90301,f330(f330(f167(x90302),x90303),x90304)))+~P1(f330(f330(f240(a930),x90304),f330(f192(f931(x90302)),x90303))) % 242.40/242.48 [9054]~P28(x90544,x90543,x90541,f246(f937(x90544,a925)))+E(f330(x90541,f612(x90542,x90541,x90543,x90544)),x90542)+~P1(f330(f330(f332(x90543),x90542),f330(f313(x90544,x90543,x90541),f246(f937(x90544,a925))))) % 242.40/242.48 [9122]E(f180(x91221,x91222,x91223),f330(f330(f178(x91221),x91224),x91223))+P1(f330(f330(f240(a930),f743(x91222,x91223,x91221,x91224)),x91224))+P1(f330(f330(f240(a930),x91224),f330(f192(f931(x91221)),x91223))) % 242.40/242.48 [9125]E(f180(x91251,x91252,x91253),f330(f330(f178(x91251),x91254),x91253))+P1(f330(f330(f240(a930),f743(x91252,x91253,x91251,x91254)),x91254))+P1(f330(x91252,f330(f330(f167(x91251),x91253),x91254))) % 242.40/242.48 [9160]P1(f330(x91601,x91602))+~P1(f330(f330(f332(x91604),x91602),f330(f175(x91604),x91603)))+P1(f330(f330(f240(a930),f719(x91602,x91601,x91603,x91604)),f330(f192(f931(x91604)),x91603))) % 242.40/242.48 [9163]E(f180(x91631,x91632,x91633),f330(f330(f178(x91631),x91634),x91633))+P1(f330(f330(f240(a930),x91634),f330(f192(f931(x91631)),x91633)))+P1(f330(f330(f240(a930),f743(x91632,x91633,x91631,x91634)),f330(f192(f931(x91631)),x91633))) % 242.40/242.48 [9170]E(f180(x91701,x91702,x91703),f330(f330(f178(x91701),x91704),x91703))+P1(f330(x91702,f330(f330(f167(x91701),x91703),x91704)))+P1(f330(f330(f240(a930),f743(x91702,x91703,x91701,x91704)),f330(f192(f931(x91701)),x91703))) % 242.40/242.48 [9199]~P127(x91994)+P1(f330(f330(f332(x91991),f663(x91992,x91993,x91991,x91994)),x91993))+P1(f330(f330(f240(x91994),f2(x91994)),f330(f330(f9(x91991,x91994),x91992),x91993))) % 242.40/242.48 [9200]~P127(x92004)+P1(f330(f330(f332(x92001),f667(x92002,x92003,x92001,x92004)),x92003))+P1(f330(f330(f239(x92004),f2(x92004)),f330(f330(f9(x92001,x92004),x92002),x92003))) % 242.40/242.48 [9227]~P1(f330(f63(x92271),x92274))+P1(f330(f330(f332(x92271),f525(x92272,x92273,x92274,x92271)),x92274))+P1(f330(f63(f936(x92271,x92273)),f330(f330(f258(x92271,x92273),x92274),x92272))) % 242.40/242.48 [9259]P1(f330(f330(f332(x92592),f773(x92591,x92593,x92592,x92594)),f330(f175(x92592),x92593)))+P1(f330(x92591,f330(f330(f167(x92592),x92593),x92594)))+~P1(f330(f330(f240(a930),x92594),f330(f192(f931(x92592)),x92593))) % 242.40/242.48 [9274]E(x92741,x92742)+P1(f330(f330(f197(f31(x92743,x92744)),f495(x92741,x92742,x92744,x92743)),x92741))+~P1(f330(f330(f197(f31(x92743,x92744)),x92742),x92741)) % 242.40/242.48 [9294]~P1(f330(x92941,x92944))+P1(f330(f330(f197(f31(x92941,x92942)),f495(x92943,x92944,x92942,x92941)),x92943))+~P1(f330(f330(f197(f31(x92941,x92942)),x92944),x92943)) % 242.40/242.48 [9391]P1(f330(f330(f239(a930),x93914),f330(f192(f931(x93912)),f180(x93912,x93913,x93911))))+P1(f330(f330(f240(a930),f744(x93911,x93912,x93913,x93914)),x93914))+~P1(f330(f330(f239(a930),x93914),f330(f192(f931(x93912)),x93911))) % 242.40/242.48 [9546]E(f180(x95461,x95462,x95463),f330(f330(f178(x95461),x95464),x95463))+~P1(f330(x95462,f330(f330(f167(x95461),x95463),f743(x95462,x95463,x95461,x95464))))+P1(f330(f330(f240(a930),x95464),f330(f192(f931(x95461)),x95463))) % 242.40/242.48 [9553]E(f180(x95531,x95532,x95533),f330(f330(f178(x95531),x95534),x95533))+~P1(f330(x95532,f330(f330(f167(x95531),x95533),f743(x95532,x95533,x95531,x95534))))+P1(f330(x95532,f330(f330(f167(x95531),x95533),x95534))) % 242.40/242.48 [9557]~P1(f330(f63(x95571),x95573))+~P1(f330(f63(x95572),f330(x95574,f525(x95574,x95572,x95573,x95571))))+P1(f330(f63(f936(x95571,x95572)),f330(f330(f258(x95571,x95572),x95573),x95574))) % 242.40/242.48 [9565]~P127(x95651)+~P1(f330(f330(f239(x95651),f2(x95651)),f330(x95653,f667(x95653,x95654,x95652,x95651))))+P1(f330(f330(f239(x95651),f2(x95651)),f330(f330(f9(x95652,x95651),x95653),x95654))) % 242.40/242.48 [9566]~P127(x95661)+~P1(f330(f330(f240(x95661),f2(x95661)),f330(x95663,f663(x95663,x95664,x95662,x95661))))+P1(f330(f330(f240(x95661),f2(x95661)),f330(f330(f9(x95662,x95661),x95663),x95664))) % 242.40/242.48 [9574]~E(f330(f192(f931(x95744)),x95742),f330(f192(f931(x95744)),x95743))+P1(f330(f330(f332(f936(f931(x95744),f931(x95744))),f330(f330(f256(f931(x95744),f931(x95744)),x95743),x95742)),f161(x95744,x95741)))+P1(f330(f330(f240(a930),f670(x95741,x95742,x95743,x95744)),f330(f192(f931(x95744)),x95743))) % 242.40/242.48 [9626]~P1(f330(x96263,f330(f330(f167(x96262),x96264),f744(x96264,x96262,x96263,x96261))))+P1(f330(f330(f239(a930),x96261),f330(f192(f931(x96262)),f180(x96262,x96263,x96264))))+~P1(f330(f330(f239(a930),x96261),f330(f192(f931(x96262)),x96264))) % 242.40/242.48 [9706]E(f330(f330(f178(x97061),f682(x97062,x97063,x97064,x97061)),x97063),f330(f330(f178(x97061),f682(x97062,x97063,x97064,x97061)),x97064))+~P1(f330(f330(f332(f936(f931(x97061),f931(x97061))),f330(f330(f256(f931(x97061),f931(x97061)),x97064),x97063)),f150(x97061,x97062)))+P1(f330(f330(f240(a930),f330(f192(f931(x97061)),x97064)),f330(f192(f931(x97061)),x97063))) % 242.40/242.48 [9762]~P1(f330(f330(f240(a930),f2(a930)),x97623))+~P1(f330(f330(f240(a930),x97624),x97621))+P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),x97621),f47(a930,x97622,x97623))),x97624)),f330(f330(f83(a930),x97621),x97623))) % 242.40/242.48 [9954]~P111(x99542)+~P1(f330(f330(f239(x99542),f330(x99543,f437(x99544,x99543,x99541,x99542))),f330(x99544,f437(x99544,x99543,x99541,x99542))))+P1(f330(f330(f239(f937(x99541,x99542)),x99543),x99544)) % 242.40/242.48 [10056]~P6(x100561)+E(f330(f330(f6(a930,x100561),f330(f330(f18(a930,x100561,x100561),f330(f330(f8(x100561,f937(x100561,x100561),a930),f23(x100561)),x100562)),f330(f330(f8(a930,x100561,a930),x100562),f330(f330(f7(a930,a930,a930),f82(a930)),f80(a930))))),f306(a930,x100563,x100564)),f330(f330(f23(x100561),f330(x100562,x100563)),f330(x100562,f330(f330(f82(a930),x100564),f80(a930)))))+~P1(f330(f330(f239(a930),x100563),x100564)) % 242.40/242.48 [10131]~P42(x101313,f330(f330(f292(x101313,x101313,x101313),x101312),f310(x101313,x101312)))+~P1(f330(f330(f332(f936(x101313,x101313)),f330(f330(f256(x101313,x101313),f330(x101311,f330(a115,f852(x101312,x101311,x101313)))),f330(x101311,f852(x101312,x101311,x101313)))),f310(x101313,x101312)))+E(f330(x101311,f330(f330(f82(a930),f851(x101312,x101311,x101313)),x101314)),f330(x101311,f851(x101312,x101311,x101313))) % 242.40/242.48 [7058]E(f330(f330(f137(x70581),x70582),x70583),x70584)+~E(x70583,f330(f330(f141(x70581),f330(f192(f931(x70581)),x70582)),x70584))+~E(f330(f330(f178(x70581),f330(f192(f931(x70581)),x70582)),x70584),x70582) % 242.40/242.48 [7111]~P71(x71112)+E(x71111,f2(x71112))+E(f330(f330(f293(x71112),f330(f330(f248(x71112),x71113),x71114)),f330(f330(f248(x71112),x71111),x71114)),f330(f330(f248(x71112),f330(f330(f293(x71112),x71113),x71111)),x71114)) % 242.40/242.48 [7262]~P106(x72621)+~P1(f330(f330(f239(x72621),x72623),x72624))+P1(f330(f330(f239(x72621),f330(f330(f104(x72621),x72622),x72623)),x72624)) % 242.40/242.48 [7263]~P106(x72631)+~P1(f330(f330(f239(x72631),x72632),x72634))+P1(f330(f330(f239(x72631),f330(f330(f104(x72631),x72632),x72633)),x72634)) % 242.40/242.48 [7265]~P112(x72651)+~P1(f330(f330(f239(x72651),x72653),x72654))+P1(f330(f330(f239(x72651),f330(f330(f237(x72651),x72652),x72653)),x72654)) % 242.40/242.48 [7267]~P112(x72671)+~P1(f330(f330(f239(x72671),x72672),x72674))+P1(f330(f330(f239(x72671),f330(f330(f237(x72671),x72672),x72673)),x72674)) % 242.40/242.48 [7268]~P106(x72681)+~P1(f330(f330(f240(x72681),x72683),x72684))+P1(f330(f330(f240(x72681),f330(f330(f104(x72681),x72682),x72683)),x72684)) % 242.40/242.48 [7269]~P106(x72691)+~P1(f330(f330(f240(x72691),x72692),x72694))+P1(f330(f330(f240(x72691),f330(f330(f104(x72691),x72692),x72693)),x72694)) % 242.40/242.48 [7271]~P112(x72711)+~P1(f330(f330(f240(x72711),x72713),x72714))+P1(f330(f330(f240(x72711),f330(f330(f237(x72711),x72712),x72713)),x72714)) % 242.40/242.48 [7273]~P112(x72731)+~P1(f330(f330(f240(x72731),x72732),x72734))+P1(f330(f330(f240(x72731),f330(f330(f237(x72731),x72732),x72733)),x72734)) % 242.40/242.48 [7296]~P1(f330(x72963,x72964))+~P1(f330(x72962,x72964))+P1(f330(f330(f330(f104(f937(x72961,a925)),x72962),x72963),x72964)) % 242.40/242.48 [7420]P27(x74201,x74202,x74203)+~P27(x74201,x74202,x74204)+~P1(f330(f330(f239(f937(f929(x74201),a925)),x74203),x74204)) % 242.40/242.48 [7798]~P74(x77981)+E(f330(f330(f82(x77981),f330(x77982,x77983)),f330(f330(f6(a930,x77981),x77982),f330(f305(a930,f330(a115,x77983)),x77984))),f330(f330(f6(a930,x77981),x77982),f330(f305(a930,x77983),x77984)))+~P1(f330(f330(f240(a930),x77983),x77984)) % 242.40/242.48 [7816]E(x78161,x78162)+P1(f330(f330(f175(x78163),x78164),x78162))+~P1(f330(f330(f175(x78163),f330(f330(f154(x78163),x78161),x78164)),x78162)) % 242.40/242.48 [7828]~P105(x78281)+P1(f330(f330(f239(x78281),x78282),x78283))+~P1(f330(f330(f239(x78281),f330(f330(f113(x78281),x78284),x78282)),x78283)) % 242.40/242.48 [7830]~P105(x78301)+P1(f330(f330(f239(x78301),x78302),x78303))+~P1(f330(f330(f239(x78301),f330(f330(f113(x78301),x78302),x78304)),x78303)) % 242.40/242.48 [7832]~P112(x78321)+P1(f330(f330(f239(x78321),x78322),x78323))+~P1(f330(f330(f239(x78321),f330(f330(f238(x78321),x78324),x78322)),x78323)) % 242.40/242.48 [7834]~P112(x78341)+P1(f330(f330(f239(x78341),x78342),x78343))+~P1(f330(f330(f239(x78341),f330(f330(f238(x78341),x78342),x78344)),x78343)) % 242.40/242.48 [7835]~P112(x78351)+P1(f330(f330(f240(x78351),x78352),x78353))+~P1(f330(f330(f240(x78351),f330(f330(f238(x78351),x78354),x78352)),x78353)) % 242.40/242.48 [7836]~P112(x78361)+P1(f330(f330(f240(x78361),x78362),x78363))+~P1(f330(f330(f240(x78361),f330(f330(f238(x78361),x78362),x78364)),x78363)) % 242.40/242.48 [7912]~P1(f330(f330(f332(x79121),x79122),x79124))+P1(f330(f330(f332(x79121),x79122),x79123))+P1(f330(f330(f332(x79121),x79122),f330(f330(f23(f937(x79121,a925)),x79124),x79123))) % 242.40/242.48 [7996]P1(f330(x79961,x79962))+P1(f330(x79963,x79962))+~P1(f330(f330(f330(f113(f937(x79964,a925)),x79963),x79961),x79962)) % 242.40/242.48 [8007]~P1(f330(f330(f332(x80071),x80072),x80074))+~P1(f330(f330(f332(x80071),x80072),x80073))+P1(f330(f330(f332(x80071),x80072),f330(f330(f104(f937(x80071,a925)),x80073),x80074))) % 242.40/242.48 [8062]~P105(x80621)+~P1(f330(f63(x80621),x80624))+E(f330(f330(f66(x80621,x80621,f113(x80621)),x80622),f330(f330(f312(x80621),x80623),x80624)),f330(f330(f113(x80621),x80623),f330(f330(f66(x80621,x80621,f113(x80621)),x80622),x80624))) % 242.40/242.48 [8063]~P106(x80631)+~P1(f330(f63(x80631),x80634))+E(f330(f330(f66(x80631,x80631,f104(x80631)),x80632),f330(f330(f312(x80631),x80633),x80634)),f330(f330(f104(x80631),x80633),f330(f330(f66(x80631,x80631,f104(x80631)),x80632),x80634))) % 242.40/242.48 [8064]~P112(x80641)+~P1(f330(f63(x80641),x80644))+E(f330(f330(f66(x80641,x80641,f237(x80641)),x80642),f330(f330(f312(x80641),x80643),x80644)),f330(f330(f237(x80641),x80643),f330(f330(f66(x80641,x80641,f237(x80641)),x80642),x80644))) % 242.40/242.48 [8065]~P112(x80651)+~P1(f330(f63(x80651),x80654))+E(f330(f330(f66(x80651,x80651,f238(x80651)),x80652),f330(f330(f312(x80651),x80653),x80654)),f330(f330(f238(x80651),x80653),f330(f330(f66(x80651,x80651,f238(x80651)),x80652),x80654))) % 242.40/242.48 [8066]~P126(x80661)+~P99(x80661)+E(f330(f330(f23(x80661),f330(f330(f83(x80661),f330(f106(x80661),x80662)),x80663)),f330(f330(f83(x80661),f330(f106(x80661),x80662)),x80664)),f330(f330(f83(x80661),f330(f106(x80661),x80662)),f330(f330(f23(x80661),x80663),x80664))) % 242.40/242.48 [8067]~P145(x80671)+~P99(x80671)+E(f330(f330(f82(x80671),f330(f330(f83(x80671),f330(f106(x80671),x80672)),x80673)),f330(f330(f83(x80671),f330(f106(x80671),x80672)),x80674)),f330(f330(f83(x80671),f330(f106(x80671),x80672)),f330(f330(f82(x80671),x80673),x80674))) % 242.40/242.48 [8181]E(x81811,x81812)+P1(f330(f330(f332(x81813),x81811),f330(f175(x81813),x81814)))+~P1(f330(f330(f332(x81813),x81811),f330(f175(x81813),f330(f330(f154(x81813),x81812),x81814)))) % 242.40/242.48 [8366]P61(x83661,x83662,x83663)+~P61(x83661,x83662,x83664)+~P1(f330(f330(f239(f937(f936(x83661,x83662),a925)),x83663),x83664)) % 242.40/242.48 [8408]P1(f330(f330(f332(x84081),x84082),x84083))+P1(f330(f330(f332(x84081),x84082),x84084))+~P1(f330(f330(f332(x84081),x84082),f330(f330(f113(f937(x84081,a925)),x84084),x84083))) % 242.40/242.48 [8419]~P59(x84191,x84194,x84193)+~P1(f330(f330(f332(x84191),x84192),x84194))+P1(f330(f330(f332(f936(x84191,x84191)),f330(f330(f256(x84191,x84191),x84192),x84192)),x84193)) % 242.40/242.48 [8431]~P1(f330(f63(x84312),x84314))+~P1(f330(f63(x84311),x84313))+P1(f330(f63(f936(x84311,x84312)),f330(f330(f258(x84311,x84312),x84313),f330(f16(f937(x84312,a925),x84311),x84314)))) % 242.40/242.48 [8432]~P1(f330(f330(f332(x84321),x84322),x84324))+~P1(f330(f330(f239(f937(x84321,a925)),x84323),x84324))+P1(f330(f330(f239(f937(x84321,a925)),f330(f330(f312(x84321),x84322),x84323)),x84324)) % 242.40/242.48 [8439]~P80(x84392)+~P147(x84392)+E(f330(f330(f9(x84391,x84392),f330(f330(f8(a930,x84392,x84391),f103(x84392)),x84393)),x84394),f330(f103(x84392),f330(f330(f9(x84391,a930),x84393),x84394))) % 242.40/242.48 [8440]~P142(x84402)+~P80(x84402)+E(f330(f330(f9(x84401,x84402),f330(f330(f8(a1,x84402,x84401),f105(x84402)),x84403)),x84404),f330(f105(x84402),f330(f330(f9(x84401,a1),x84403),x84404))) % 242.40/242.48 [8465]E(f330(f330(f23(f937(x84651,a925)),x84652),f330(f330(f23(f937(x84651,a925)),x84653),x84654)),x84654)+~P1(f330(f330(f239(f937(x84651,a925)),x84652),x84653))+~P1(f330(f330(f239(f937(x84651,a925)),x84654),x84652)) % 242.40/242.48 [8565]~P1(f330(f63(x85651),x85654))+E(f330(f330(f23(a930),f330(f330(f6(x85651,a930),x85652),x85653)),f330(f330(f6(x85651,a930),x85652),x85654)),f330(f330(f6(x85651,a930),x85652),f330(f330(f23(f937(x85651,a925)),x85653),x85654)))+~P1(f330(f330(f239(f937(x85651,a925)),x85654),x85653)) % 242.40/242.48 [8723]~P11(x87231,x87234,x87233)+~P1(f330(f330(f332(x87231),x87232),x87234))+P1(f330(f330(f332(x87231),x87232),f330(f289(x87231,x87231,x87233),f330(f330(f312(x87231),x87232),f191(f937(x87231,a925)))))) % 242.40/242.48 [8789]~P1(f330(f330(f239(f937(x87891,a925)),x87892),x87893))+~P1(f330(f330(f239(f937(x87891,a925)),x87892),x87894))+P1(f330(f330(f239(f937(x87891,a925)),x87892),f330(f330(f104(f937(x87891,a925)),x87893),x87894))) % 242.40/242.48 [8891]E(x88911,f191(f937(x88912,a925)))+P1(f330(f63(x88913),x88914))+~P1(f330(f63(f936(x88913,x88912)),f330(f330(f258(x88913,x88912),x88914),f330(f16(f937(x88912,a925),x88913),x88911)))) % 242.40/242.48 [8892]E(x88921,f191(f937(x88922,a925)))+P1(f330(f63(x88923),x88924))+~P1(f330(f63(f936(x88922,x88923)),f330(f330(f258(x88922,x88923),x88921),f330(f16(f937(x88923,a925),x88922),x88924)))) % 242.40/242.48 [8965]P1(f330(f330(f332(x89651),x89652),f319(x89651,x89653)))+~P1(f330(f330(f332(x89651),x89654),f319(x89651,x89653)))+~P1(f330(f330(f332(f936(x89651,x89651)),f330(f330(f256(x89651,x89651),x89652),x89654)),x89653)) % 242.40/242.48 [9022]~P42(x90221,x90224)+P1(f330(f330(f332(f936(x90221,x90221)),f330(f330(f256(x90221,x90221),x90223),x90222)),f310(x90221,x90224)))+P42(x90221,f330(f330(f312(f936(x90221,x90221)),f330(f330(f256(x90221,x90221),x90222),x90223)),x90224)) % 242.40/242.48 [9023]~P64(x90231,x90234)+P1(f330(f330(f332(f936(x90231,x90231)),f330(f330(f256(x90231,x90231),x90233),x90232)),f310(x90231,x90234)))+P64(x90231,f330(f330(f312(f936(x90231,x90231)),f330(f330(f256(x90231,x90231),x90232),x90233)),x90234)) % 242.40/242.48 [9105]~E(x91052,x91053)+~P1(f330(f330(f332(x91051),x91052),f330(f175(x91051),x91054)))+P1(f330(f330(f332(f936(x91051,x91051)),f330(f330(f256(x91051,x91051),x91052),x91053)),f330(f175(f936(x91051,x91051)),f330(f330(f184(x91051,x91051),x91054),x91054)))) % 242.40/242.48 [9198]~E(x91983,x91984)+P1(f330(f330(f261(x91981,x91981,a925),a327),x91982))+~P1(f330(f330(f332(f936(x91981,x91981)),x91982),f330(f175(f936(x91981,x91981)),f330(f330(f184(x91981,x91981),x91983),x91984)))) % 242.40/242.48 [9244]P1(f330(f330(f332(f936(f931(x92441),f931(x92441))),f330(f330(f256(f931(x92441),f931(x92441)),x92442),x92443)),f150(x92441,x92444)))+~E(f330(f330(f178(x92441),f330(f192(f931(x92441)),x92442)),x92443),x92442)+~P1(f330(f330(f240(a930),f330(f192(f931(x92441)),x92442)),f330(f192(f931(x92441)),x92443))) % 242.40/242.48 [9247]~P58(x92471,x92474)+~P1(f330(f330(f332(f936(x92471,x92471)),f330(f330(f256(x92471,x92471),x92473),x92472)),x92474))+P1(f330(f330(f332(f936(x92471,x92471)),f330(f330(f256(x92471,x92471),x92472),x92473)),x92474)) % 242.40/242.48 [9340]~P1(f330(f63(x93401),x93404))+P1(f330(f330(f332(x93401),f440(x93402,x93403,x93404,x93401)),x93404))+P1(f330(f63(x93403),f330(f330(f41(x93401,f937(x93403,a925)),x93404),x93402))) % 242.40/242.48 [9341]~P1(f330(f63(x93411),x93414))+P1(f330(f330(f332(x93411),f484(x93412,x93413,x93414,x93411)),x93414))+P1(f330(f63(x93413),f330(f330(f41(x93411,f937(x93413,a925)),x93414),x93412))) % 242.40/242.48 [9433]P1(f330(f330(f332(f936(x94331,x94331)),x94332),f330(f330(f292(x94331,x94331,x94331),x94333),f310(x94331,x94333))))+~P1(f330(f330(f240(a930),f2(a930)),x94334))+~P1(f330(f330(f332(f936(x94331,x94331)),x94332),f330(f330(f186(f936(x94331,x94331),a925),x94334),x94333))) % 242.40/242.48 [9441]~P42(x94411,x94412)+~P1(f330(f330(f332(f936(x94411,x94411)),f330(f330(f256(x94411,x94411),x94414),x94413)),x94412))+~P1(f330(f330(f332(f936(x94411,x94411)),f330(f330(f256(x94411,x94411),x94413),x94414)),x94412)) % 242.40/242.48 [9564]~P1(f330(f63(x95641),x95644))+E(f330(f330(f6(x95641,a930),f330(f330(f8(f937(x95642,a925),a930,x95641),f37(x95642)),x95643)),x95644),f330(f37(f936(x95641,x95642)),f330(f330(f258(x95641,x95642),x95644),x95643)))+P1(f330(f330(f332(x95641),f526(x95643,x95642,x95644,x95641)),x95644)) % 242.40/242.48 [9568]~P1(f330(f140(x95681),x95682))+P1(f330(f140(x95681),f330(f330(f162(x95681,x95682),x95683),x95684)))+P1(f330(f330(f332(x95681),x95684),f330(f330(f23(f937(x95681,a925)),f330(f175(x95681),x95682)),f330(f330(f312(x95681),f330(f330(f167(x95681),x95682),x95683)),f191(f937(x95681,a925)))))) % 242.40/242.48 [9585]~P1(f330(f63(x95852),x95853))+~P1(f330(f63(x95851),f330(x95854,f440(x95854,x95851,x95853,x95852))))+P1(f330(f63(x95851),f330(f330(f41(x95852,f937(x95851,a925)),x95853),x95854))) % 242.40/242.48 [9586]~P1(f330(f63(x95862),x95863))+~P1(f330(f63(x95861),f330(x95864,f484(x95864,x95861,x95863,x95862))))+P1(f330(f63(x95861),f330(f330(f41(x95862,f937(x95861,a925)),x95863),x95864))) % 242.40/242.48 [9664]~P1(f330(f330(f332(f936(x96641,x96641)),x96642),f330(f330(f292(x96641,x96641,x96641),x96644),f310(x96641,x96644))))+P1(f330(f330(f332(f936(x96641,x96641)),x96642),f330(f330(f292(x96641,x96641,x96641),x96643),f310(x96641,x96643))))+~P1(f330(f330(f239(f937(f936(x96641,x96641),a925)),x96644),x96643)) % 242.40/242.48 [9672]E(f330(f330(f178(x96721),f682(x96724,x96723,x96722,x96721)),x96723),f330(f330(f178(x96721),f682(x96724,x96723,x96722,x96721)),x96722))+~P1(f330(f330(f332(f936(f931(x96721),f931(x96721))),f330(f330(f256(f931(x96721),f931(x96721)),x96722),x96723)),f150(x96721,x96724)))+E(f330(f330(f178(x96721),f330(f192(f931(x96721)),x96722)),x96723),x96722) % 242.40/242.48 [9688]~P1(f330(f63(x96881),x96884))+E(f330(f330(f6(x96881,a930),f330(f330(f8(f937(x96882,a925),a930,x96881),f37(x96882)),x96883)),x96884),f330(f37(f936(x96881,x96882)),f330(f330(f258(x96881,x96882),x96884),x96883)))+~P1(f330(f63(x96882),f330(x96883,f526(x96883,x96882,x96884,x96881)))) % 242.40/242.48 [9693]~E(f330(f192(f931(x96931)),x96933),f330(f192(f931(x96931)),x96932))+P1(f330(f330(f332(f936(f931(x96931),f931(x96931))),f330(f330(f256(f931(x96931),f931(x96931)),x96932),x96933)),f161(x96931,x96934)))+P1(f330(f330(f332(f936(x96931,x96931)),f685(x96934,x96933,x96932,x96931)),f330(f175(f936(x96931,x96931)),f330(f330(f184(x96931,x96931),x96932),x96933)))) % 242.40/242.48 [9774]~P1(f330(f330(f332(f936(f931(x97741),f931(x97741))),f330(f330(f256(f931(x97741),f931(x97741)),x97742),x97743)),f150(x97741,x97744)))+E(f330(f330(f178(x97741),f330(f192(f931(x97741)),x97742)),x97743),x97742)+P1(f330(f330(f240(a930),f682(x97744,x97743,x97742,x97741)),f330(f330(f237(a930),f330(f192(f931(x97741)),x97742)),f330(f192(f931(x97741)),x97743)))) % 242.40/242.48 [9798]~P1(f330(f330(f332(f936(f931(x97981),f931(x97981))),f330(f330(f256(f931(x97981),f931(x97981)),x97982),x97983)),f150(x97981,x97984)))+P1(f330(f330(f240(a930),f330(f192(f931(x97981)),x97982)),f330(f192(f931(x97981)),x97983)))+P1(f330(f330(f240(a930),f682(x97984,x97983,x97982,x97981)),f330(f330(f237(a930),f330(f192(f931(x97981)),x97982)),f330(f192(f931(x97981)),x97983)))) % 242.40/242.48 [10199]~P1(f330(f330(f332(f936(f931(x101991),f931(x101991))),f330(f330(f256(f931(x101991),f931(x101991)),x101992),x101993)),f150(x101991,x101994)))+E(f330(f330(f178(x101991),f330(f192(f931(x101991)),x101992)),x101993),x101992)+P1(f330(f330(f332(f936(x101991,x101991)),f330(f330(f256(x101991,x101991),f330(f330(f167(x101991),x101992),f682(x101994,x101993,x101992,x101991))),f330(f330(f167(x101991),x101993),f682(x101994,x101993,x101992,x101991)))),x101994)) % 242.40/242.48 [10200]~P1(f330(f330(f332(f936(f931(x102001),f931(x102001))),f330(f330(f256(f931(x102001),f931(x102001)),x102002),x102003)),f150(x102001,x102004)))+P1(f330(f330(f240(a930),f330(f192(f931(x102001)),x102002)),f330(f192(f931(x102001)),x102003)))+P1(f330(f330(f332(f936(x102001,x102001)),f330(f330(f256(x102001,x102001),f330(f330(f167(x102001),x102002),f682(x102004,x102003,x102002,x102001))),f330(f330(f167(x102001),x102003),f682(x102004,x102003,x102002,x102001)))),x102004)) % 242.40/242.48 [10256]~E(f330(f192(f931(x102561)),x102562),f330(f192(f931(x102561)),x102563))+P1(f330(f330(f332(f936(f931(x102561),f931(x102561))),f330(f330(f256(f931(x102561),f931(x102561)),x102562),x102563)),f161(x102561,x102564)))+~P1(f330(f330(f332(f936(x102561,x102561)),f330(f330(f256(x102561,x102561),f330(f330(f167(x102561),x102562),f670(x102564,x102563,x102562,x102561))),f330(f330(f167(x102561),x102563),f670(x102564,x102563,x102562,x102561)))),x102564)) % 242.40/242.48 [10402]~P74(x104021)+~P1(f330(f63(x104022),x104024))+E(f330(f168(x104021),f330(f330(f157(x104022,x104021),x104023),f92(f931(x104022),f330(f330(f18(f931(x104022),a925,a925),f330(f330(f8(a925,f937(a925,a925),f931(x104022)),a328),f330(f330(f7(f931(x104022),f937(x104022,a925),a925),f330(f330(f8(f937(x104022,a925),f937(f937(x104022,a925),a925),f931(x104022)),a327),f175(x104022))),x104024))),f140(x104022))))),f235(x104022,x104021,x104023,x104024)) % 242.40/242.48 [7642]~P70(x76422)+E(x76421,f2(x76422))+E(f330(f330(f293(x76422),f330(f330(f82(x76422),x76423),f330(f330(f83(x76422),x76424),x76421))),x76421),f330(f330(f82(x76422),x76424),f330(f330(f293(x76422),x76423),x76421))) % 242.40/242.48 [7643]~P67(x76432)+E(x76431,f2(x76432))+E(f330(f330(f38(x76432),f330(f330(f82(x76432),x76433),f330(f330(f83(x76432),x76434),x76431))),x76431),f330(f330(f82(x76432),x76434),f330(f330(f38(x76432),x76433),x76431))) % 242.40/242.48 [7644]~P67(x76442)+E(x76441,f2(x76442))+E(f330(f330(f38(x76442),f330(f330(f82(x76442),x76443),f330(f330(f83(x76442),x76441),x76444))),x76441),f330(f330(f82(x76442),x76444),f330(f330(f38(x76442),x76443),x76441))) % 242.40/242.48 [7876]~P71(x78762)+E(x78761,f2(x78762))+E(f330(f330(f293(x78762),f330(f330(f23(x78762),x78763),f330(f330(f83(x78762),x78761),x78764))),x78761),f330(f330(f23(x78762),f330(f330(f293(x78762),x78763),x78761)),x78764)) % 242.40/242.48 [7877]~P70(x78772)+E(x78771,f2(x78772))+E(f330(f330(f293(x78772),f330(f330(f82(x78772),x78773),f330(f330(f83(x78772),x78774),x78771))),x78771),f330(f330(f82(x78772),f330(f330(f293(x78772),x78773),x78771)),x78774)) % 242.40/242.48 [7878]~P71(x78782)+E(x78781,f2(x78782))+E(f330(f330(f293(x78782),f330(f330(f82(x78782),x78783),f330(f330(f83(x78782),x78781),x78784))),x78781),f330(f330(f82(x78782),f330(f330(f293(x78782),x78783),x78781)),x78784)) % 242.40/242.48 [8596]~P1(f330(f163(x85961,x85963),x85964))+~P1(f330(f163(x85961,x85962),x85964))+P1(f330(f163(x85961,f330(f330(f104(f937(x85961,a925)),x85962),x85963)),x85964)) % 242.40/242.48 [8980]~E(f330(f330(f292(x89801,x89801,x89801),x89802),x89804),f191(f937(f936(x89801,x89801),a925)))+~E(f330(f330(f292(x89801,x89801,x89801),x89802),x89803),f191(f937(f936(x89801,x89801),a925)))+E(f330(f330(f292(x89801,x89801,x89801),x89802),f330(f330(f113(f937(f936(x89801,x89801),a925)),x89803),x89804)),f191(f937(f936(x89801,x89801),a925))) % 242.40/242.48 [9106]~P1(f330(f330(f239(f937(x91061,a925)),x91063),x91064))+~P1(f330(f330(f239(f937(x91061,a925)),x91062),x91064))+P1(f330(f330(f239(f937(x91061,a925)),f330(f330(f113(f937(x91061,a925)),x91062),x91063)),x91064)) % 242.40/242.48 [9494]~P1(f330(f63(x94941),x94944))+~P1(f330(f63(x94941),x94943))+E(f330(f330(f23(a930),f330(f330(f82(a930),f330(f330(f6(x94941,a930),x94942),x94943)),f330(f330(f6(x94941,a930),x94942),x94944))),f330(f330(f6(x94941,a930),x94942),f330(f330(f104(f937(x94941,a925)),x94943),x94944))),f330(f330(f6(x94941,a930),x94942),f330(f330(f113(f937(x94941,a925)),x94943),x94944))) % 242.40/242.48 [9582]~P1(f330(f330(f332(x95821),x95823),x95822))+~P1(f330(f330(f239(f937(x95821,a925)),x95822),f330(f330(f312(x95821),x95823),x95824)))+P1(f330(f330(f239(f937(x95821,a925)),f330(f330(f23(f937(x95821,a925)),x95822),f330(f330(f312(x95821),x95823),f191(f937(x95821,a925))))),x95824)) % 242.40/242.48 [9749]~P1(f330(f330(f332(x97491),x97493),x97492))+P1(f330(f330(f239(f937(x97491,a925)),x97492),f330(f330(f312(x97491),x97493),x97494)))+~P1(f330(f330(f239(f937(x97491,a925)),f330(f330(f23(f937(x97491,a925)),x97492),f330(f330(f312(x97491),x97493),f191(f937(x97491,a925))))),x97494)) % 242.40/242.48 [9838]~P1(f330(f330(f239(a930),x98381),x98383))+~P1(f330(f330(f240(a930),x98382),x98384))+P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),f330(f330(f256(a930,a930),x98381),x98382)),f330(f330(f256(a930,a930),x98383),x98384))),a34)) % 242.40/242.48 [9839]~P1(f330(f330(f239(a930),x98392),x98394))+~P1(f330(f330(f239(a930),x98391),x98393))+P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),f330(f330(f256(a930,a930),x98391),x98392)),f330(f330(f256(a930,a930),x98393),x98394))),a72)) % 242.40/242.48 [10129]~P1(f330(f330(f332(f931(x101291)),x101294),f164(x101291,x101293)))+~P1(f330(f330(f332(f931(x101291)),x101294),f164(x101291,x101292)))+P1(f330(f163(x101291,f330(f330(f104(f937(x101291,a925)),f330(f330(f7(x101291,f937(x101291,a925),a925),f332(x101291)),x101292)),f330(f330(f7(x101291,f937(x101291,a925),a925),f332(x101291)),x101293))),x101294)) % 242.40/242.48 [10222]~P28(x102221,f937(f937(x102221,a925),a925),f330(f330(f7(x102221,f937(f936(x102221,x102221),a925),f937(f937(x102221,a925),a925)),f330(f330(f8(f937(x102221,a925),f937(f937(f936(x102221,x102221),a925),f937(f937(x102221,a925),a925)),x102221),f62(x102221)),f330(f330(f7(x102221,f937(x102221,a925),f937(x102221,a925)),f312(x102221)),f191(f937(x102221,a925))))),x102223),x102222)+~P1(f330(f330(f332(x102221),x102224),x102222))+E(f330(f330(f23(f937(f937(x102221,a925),a925)),f330(f330(f62(x102221),x102222),x102223)),f330(f330(f62(x102221),f330(f330(f312(x102221),x102224),f191(f937(x102221,a925)))),x102223)),f330(f330(f62(x102221),f330(f330(f23(f937(x102221,a925)),x102222),f330(f330(f312(x102221),x102224),f191(f937(x102221,a925))))),x102223)) % 242.40/242.48 [10355]~P59(x103551,x103552,x103554)+~P1(f330(f330(f332(f936(x103551,x103551)),x103553),x103554))+P1(f330(f330(f261(x103551,x103551,a925),f330(f330(f7(x103551,f937(x103551,a925),f937(x103551,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x103551,a925),f937(x103551,a925)),x103551),f8(a925,a925,x103551)),f330(f330(f8(a925,f937(a925,a925),x103551),a328),f330(f330(f7(x103551,f937(x103551,a925),a925),f332(x103551)),x103552)))),f330(f330(f7(x103551,f937(x103551,a925),a925),f332(x103551)),x103552))),x103553)) % 242.40/242.48 [10370]P1(f330(f63(x103701),x103702))+~P1(f330(f63(x103703),f330(f313(x103701,x103703,x103704),x103702)))+~P1(f330(f63(x103701),f330(f266(x103701),f330(f330(f18(x103701,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103701),a328),f330(f330(f7(x103701,f937(x103701,a925),a925),f332(x103701)),x103702))),f330(f330(f7(x103701,x103703,a925),f330(f330(f8(x103703,f937(x103703,a925),x103701),a327),x103704)),f330(x103704,f369(x103704,x103703,x103702,x103701))))))) % 242.40/242.48 [8347]~P71(x83472)+E(x83471,f2(x83472))+E(f330(f330(f293(x83472),f330(f330(f23(x83472),f330(f330(f83(x83472),x83471),x83473)),x83474)),x83471),f330(f330(f23(x83472),x83473),f330(f330(f293(x83472),x83474),x83471))) % 242.40/242.48 [8348]~P71(x83482)+E(x83481,f2(x83482))+E(f330(f330(f293(x83482),f330(f330(f82(x83482),f330(f330(f83(x83482),x83481),x83483)),x83484)),x83481),f330(f330(f82(x83482),x83483),f330(f330(f293(x83482),x83484),x83481))) % 242.40/242.48 [9273]~E(f330(f330(f292(x92731,x92731,x92731),x92733),x92734),f191(f937(f936(x92731,x92731),a925)))+~E(f330(f330(f292(x92731,x92731,x92731),x92732),x92734),f191(f937(f936(x92731,x92731),a925)))+E(f330(f330(f292(x92731,x92731,x92731),f330(f330(f113(f937(f936(x92731,x92731),a925)),x92732),x92733)),x92734),f191(f937(f936(x92731,x92731),a925))) % 242.40/242.48 [10046]~P1(f330(f163(x100461,x100463),x100464))+~P1(f330(f163(x100461,x100462),x100464))+P1(f330(f163(x100461,f330(f330(f18(x100461,a925,a925),f330(f330(f8(a925,f937(a925,a925),x100461),a328),x100462)),x100463)),x100464)) % 242.40/242.48 [10291]P1(f330(x102911,f892(x102912,x102913,x102911,x102914)))+~P1(f330(f63(x102914),f330(f266(x102914),x102911)))+P1(f330(f63(x102913),f330(f266(x102913),f330(f330(f8(f937(x102914,a925),a925,x102913),f89(x102914)),f330(f330(f8(f937(x102914,a925),f937(x102914,a925),x102913),f330(f18(x102914,a925,a925),f330(f330(f8(a925,f937(a925,a925),x102914),a328),x102911))),x102912))))) % 242.40/242.48 [10309]~P1(f330(f63(x103092),f330(f266(x103092),x103093)))+~P1(f330(f63(x103091),f330(f266(x103091),f330(f330(f7(x103091,x103092,a925),x103094),f892(x103094,x103091,x103093,x103092)))))+P1(f330(f63(x103091),f330(f266(x103091),f330(f330(f8(f937(x103092,a925),a925,x103091),f89(x103092)),f330(f330(f8(f937(x103092,a925),f937(x103092,a925),x103091),f330(f18(x103092,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103092),a328),x103093))),x103094))))) % 242.40/242.48 [10381]~P1(f330(f63(x103811),x103814))+P1(f330(f330(f332(x103811),f819(x103812,x103813,x103814,x103811)),x103814))+P1(f330(f63(x103813),f330(f266(x103813),f330(f330(f8(f937(x103811,a925),a925,x103813),f89(x103811)),f330(f330(f8(f937(x103811,a925),f937(x103811,a925),x103813),f330(f18(x103811,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103811),a328),f330(f330(f7(x103811,f937(x103811,a925),a925),f332(x103811)),x103814)))),x103812))))) % 242.40/242.48 [10387]~P1(f330(f63(x103872),x103873))+~P1(f330(f63(x103871),f330(f266(x103871),f330(f330(f7(x103871,x103872,a925),x103874),f819(x103874,x103871,x103873,x103872)))))+P1(f330(f63(x103871),f330(f266(x103871),f330(f330(f8(f937(x103872,a925),a925,x103871),f89(x103872)),f330(f330(f8(f937(x103872,a925),f937(x103872,a925),x103871),f330(f18(x103872,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103872),a328),f330(f330(f7(x103872,f937(x103872,a925),a925),f332(x103872)),x103873)))),x103874))))) % 242.40/242.48 [5267]~E(x52672,x52674)+E(f172(x52671,x52672,x52673),f172(x52671,x52674,x52675))+~E(x52672,f2(a930)) % 242.40/242.48 [5519]E(x55191,x55192)+~E(f172(x55194,x55193,x55191),f172(x55194,x55195,x55192))+E(x55193,f2(a930)) % 242.40/242.48 [6071]~E(x60715,x60712)+P46(f31(x60711,x60713),x60712,x60714,x60715)+P1(f330(x60711,x60712)) % 242.40/242.48 [6633]E(x66331,x66332)+~P46(f31(x66333,x66334),x66331,x66335,x66332)+P1(f330(x66333,x66331)) % 242.40/242.48 [8140]~P46(x81402,x81403,x81404,x81405)+~P46(f31(x81401,x81402),x81405,x81404,x81403)+P46(f31(x81401,x81402),x81403,x81404,x81403) % 242.40/242.48 [9401]E(x94011,x94012)+~P46(f31(x94015,x94013),x94011,x94014,x94012)+P46(x94013,x94011,x94014,f497(x94012,x94014,x94011,x94013,x94015)) % 242.40/242.48 [9403]E(x94031,x94032)+P46(f31(x94033,x94034),f497(x94031,x94035,x94032,x94034,x94033),x94035,x94031)+~P46(f31(x94033,x94034),x94032,x94035,x94031) % 242.40/242.48 [9407]~P46(f31(x94075,x94071),x94072,x94073,x94074)+P46(x94071,x94072,x94073,f497(x94074,x94073,x94072,x94071,x94075))+~P1(f330(x94075,x94072)) % 242.40/242.48 [9414]~P46(f31(x94141,x94142),x94145,x94144,x94143)+P46(f31(x94141,x94142),f497(x94143,x94144,x94145,x94142,x94141),x94144,x94143)+~P1(f330(x94141,x94145)) % 242.40/242.48 [6779]E(x67791,x67792)+~E(f330(x67793,x67791),f330(x67793,x67792))+~P28(x67794,x67795,x67793,f246(f937(x67794,a925))) % 242.40/242.48 [7680]E(x76801,x76802)+~P28(x76803,x76804,x76805,f246(f937(x76803,a925)))+~E(f330(f313(x76803,x76804,x76805),x76801),f330(f313(x76803,x76804,x76805),x76802)) % 242.40/242.48 [7929]P28(x79292,x79293,f543(x79294,x79293,x79292,x79291),x79291)+~E(f330(f313(x79293,x79292,x79295),x79294),x79291)+E(x79291,f191(f937(x79292,a925))) % 242.40/242.48 [8476]~P1(f330(f330(x84763,x84762),x84765))+~P1(f330(f330(x84763,x84764),x84762))+P1(f330(f330(f332(x84761),x84762),f299(x84761,x84763,x84764,x84765))) % 242.40/242.48 [8477]~P1(f330(f330(x84773,x84772),x84775))+~P1(f330(f330(x84773,x84774),x84772))+P1(f330(f330(f332(x84771),x84772),f302(x84771,x84773,x84774,x84775))) % 242.40/242.48 [8797]~P28(x87971,x87972,x87973,x87974)+P29(x87971,x87972,x87973,x87974,x87975)+~E(f330(f313(x87971,x87972,x87973),x87974),x87975) % 242.40/242.48 [8930]~P29(x89301,x89303,x89304,x89302,x89305)+~P1(f330(f63(x89303),x89305))+P1(f330(f63(x89301),x89302)) % 242.40/242.48 [8931]~P29(x89313,x89311,x89314,x89315,x89312)+~P1(f330(f63(x89313),x89315))+P1(f330(f63(x89311),x89312)) % 242.40/242.48 [9063]~P28(x90631,x90633,x90635,f246(f937(x90631,a925)))+~P28(x90633,x90632,x90634,f246(f937(x90633,a925)))+P28(x90631,x90632,f330(f74(x90633,x90632,x90631,x90634),x90635),f246(f937(x90631,a925))) % 242.40/242.48 [9641]P1(f330(f330(f332(f936(x96411,x96411)),f330(f330(f256(x96411,x96411),x96412),x96413)),f310(x96411,x96414)))+~P1(f330(f330(f332(f936(x96411,x96411)),f330(f330(f256(x96411,x96411),x96412),x96415)),f310(x96411,x96414)))+~P1(f330(f330(f332(f936(x96411,x96411)),f330(f330(f256(x96411,x96411),x96415),x96413)),f310(x96411,x96414))) % 242.40/242.48 [9679]~P112(x96792)+~P1(f330(f140(x96791),x96795))+P1(f330(f140(x96791),f152(x96791,x96792,x96793,x96794,x96795))) % 242.40/242.48 [5593]~E(x55932,f116(x55931))+E(f330(f330(f137(x55931),x55932),x55933),f330(f330(f154(x55931),x55934),x55935))+~E(x55933,f330(f330(f154(x55931),x55934),x55935)) % 242.40/242.48 [5594]~E(x55942,f116(x55941))+E(f330(f330(f137(x55941),x55942),x55943),f330(f330(f154(x55941),x55944),x55945))+~E(f330(f330(f154(x55941),x55944),x55945),x55943) % 242.40/242.48 [6736]~E(f330(f192(f931(x67361)),x67365),f330(f192(f931(x67362)),x67364))+E(f330(f330(f157(f936(x67361,x67362),x67362),f260(x67361,x67362)),x67363),x67364)+~E(f330(f330(f184(x67361,x67362),x67365),x67364),x67363) % 242.40/242.48 [6737]~E(f330(f192(f931(x67371)),x67374),f330(f192(f931(x67372)),x67375))+E(f330(f330(f157(f936(x67371,x67372),x67371),f255(x67371,x67372)),x67373),x67374)+~E(f330(f330(f184(x67371,x67372),x67374),x67375),x67373) % 242.40/242.48 [7208]~P112(x72081)+~P16(x72081,f330(f330(f157(x72082,x72081),x72083),x72085))+P16(x72081,f330(f330(f157(x72082,x72081),x72083),f330(f139(x72082,x72084),x72085))) % 242.40/242.48 [7250]~P1(f330(x72503,x72505))+~P1(f330(f330(x72502,x72504),x72505))+P1(f330(f330(f95(x72501,x72502,x72503),x72504),x72505)) % 242.40/242.48 [7349]~P112(x73491)+P16(x73491,f330(f330(f157(x73492,x73491),x73493),f173(x73492,x73494,x73495)))+~P16(x73491,f330(f330(f157(x73492,x73491),x73493),x73495)) % 242.40/242.48 [7372]~P61(x73723,x73722,x73725)+~P61(x73721,x73723,x73724)+P61(x73721,x73722,f330(f330(f292(x73721,x73723,x73722),x73724),x73725)) % 242.40/242.48 [7466]E(x74661,x74662)+~P28(x74663,x74664,x74665,f246(f937(x74663,a925)))+~E(f330(f330(f157(x74663,x74664),x74665),x74661),f330(f330(f157(x74663,x74664),x74665),x74662)) % 242.40/242.48 [7547]P46(x75471,x75472,x75473,x75474)+~P46(x75471,x75472,x75475,x75474)+~P1(f330(f330(f239(a930),x75475),x75473)) % 242.40/242.48 [7628]~P1(f330(f330(f239(a930),x76281),f330(x76283,x76285)))+P1(f330(f330(f239(a930),x76281),f158(x76282,x76283,x76284)))+~P1(f330(f330(f332(x76282),x76285),f330(f175(x76282),x76284))) % 242.40/242.48 [7629]~P1(f330(f330(f240(a930),x76291),f330(x76293,x76295)))+P1(f330(f330(f240(a930),x76291),f158(x76292,x76293,x76294)))+~P1(f330(f330(f332(x76292),x76295),f330(f175(x76292),x76294))) % 242.40/242.48 [8028]P1(f330(x80281,x80282))+~P1(f330(x80281,x80283))+~P1(f330(f330(f332(x80284),x80282),f330(f175(x80284),f172(x80284,x80285,x80283)))) % 242.40/242.48 [8029]P1(f330(x80291,x80292))+~P1(f330(x80291,x80293))+~P1(f330(f330(f332(x80294),x80293),f330(f175(x80294),f172(x80294,x80295,x80292)))) % 242.40/242.48 [8033]~P113(x80331)+P1(f330(f330(f239(f937(x80331,a925)),f306(x80331,x80332,x80333)),f306(x80331,x80334,x80335)))+P1(f330(f330(f239(x80331),x80332),x80333)) % 242.40/242.48 [8060]~P8(x80601)+P1(f330(f330(f239(x80601),f330(f330(f42(x80602,x80601),x80603),x80604)),f330(x80604,x80605)))+~P1(f330(f330(f332(x80602),x80605),x80603)) % 242.40/242.48 [8127]~P28(x81271,x81272,x81274,x81273)+E(f330(f79(x81271,x81272,x81273,x81274),f330(x81274,x81275)),x81275)+~P1(f330(f330(f332(x81271),x81275),x81273)) % 242.40/242.48 [8128]~P28(x81281,x81282,x81284,x81283)+E(f330(f94(x81281,x81282,x81283,x81284),f330(x81284,x81285)),x81285)+~P1(f330(f330(f332(x81281),x81285),x81283)) % 242.40/242.48 [8336]~P1(f330(x83361,x83365))+P1(f330(x83361,f342(x83361,x83362,x83363,x83364)))+~P1(f330(f330(f332(x83364),x83365),x83363)) % 242.40/242.48 [8337]~P1(f330(x83371,x83375))+P1(f330(x83371,f342(x83371,x83372,x83373,x83374)))+~P1(f330(f330(f332(x83374),x83375),x83372)) % 242.40/242.48 [8429]P1(f330(f63(x84291),x84292))+~P1(f330(f63(x84293),x84294))+~P1(f330(f330(f239(f937(x84291,a925)),x84292),f330(f313(x84293,x84291,x84295),x84294))) % 242.40/242.48 [8600]E(x86001,x86002)+~P28(x86003,x86004,x86005,f330(f330(f113(f937(x86003,a925)),f330(f175(x86003),x86001)),f330(f175(x86003),x86002)))+~E(f330(f330(f157(x86003,x86004),x86005),x86001),f330(f330(f157(x86003,x86004),x86005),x86002)) % 242.40/242.48 [8654]~P113(x86541)+~P1(f330(f330(f240(f937(x86541,a925)),f306(x86541,x86544,x86545)),f306(x86541,x86542,x86543)))+P1(f330(f330(f239(x86541),x86542),x86543)) % 242.40/242.48 [8722]~P28(x87221,x87224,x87225,f246(f937(x87221,a925)))+~P1(f330(f330(f332(x87224),f330(x87225,x87222)),f330(f313(x87221,x87224,x87225),x87223)))+P1(f330(f330(f332(x87221),x87222),x87223)) % 242.40/242.48 [8803]P1(f330(x88031,x88032))+~P1(f330(x88031,f882(x88031,x88033,x88034,x88035)))+~P1(f330(f330(f332(x88035),x88032),x88034)) % 242.40/242.48 [8804]P1(f330(x88041,x88042))+~P1(f330(x88041,f882(x88041,x88043,x88044,x88045)))+~P1(f330(f330(f332(x88045),x88042),x88043)) % 242.40/242.48 [9103]~P28(x91032,x91033,x91031,x91034)+E(f330(x91031,f330(f79(x91032,x91033,x91034,x91031),x91035)),x91035)+~P1(f330(f330(f332(x91033),x91035),f330(f313(x91032,x91033,x91031),x91034))) % 242.40/242.48 [9213]E(x92131,f116(x92132))+E(f330(f330(f154(x92132),x92133),f701(x92134,x92133,x92135,x92131,x92132)),x92131)+~E(f330(f330(f137(x92132),x92131),x92135),f330(f330(f154(x92132),x92133),x92134)) % 242.40/242.48 [9214]E(x92141,f116(x92142))+E(f330(f330(f154(x92142),x92143),f702(x92144,x92141,x92145,x92143,x92142)),x92141)+~E(f330(f330(f137(x92142),x92141),x92144),f330(f330(f154(x92142),x92143),x92145)) % 242.40/242.48 [9232]E(f330(f330(f154(x92322),x92323),f701(x92324,x92323,x92321,x92325,x92322)),x92325)+~E(f330(f330(f137(x92322),x92325),x92321),f330(f330(f154(x92322),x92323),x92324))+E(x92321,f330(f330(f154(x92322),x92323),x92324)) % 242.40/242.48 [9233]E(f330(f330(f154(x92331),x92332),f702(x92334,x92335,x92333,x92332,x92331)),x92335)+~E(f330(f330(f137(x92331),x92335),x92334),f330(f330(f154(x92331),x92332),x92333))+E(f330(f330(f154(x92331),x92332),x92333),x92334) % 242.40/242.48 [9311]~E(f330(f313(x93113,x93112,x93114),f246(f937(x93113,a925))),f246(f937(x93112,a925)))+~E(f330(f313(x93111,x93113,x93115),f246(f937(x93111,a925))),f246(f937(x93113,a925)))+E(f330(f313(x93111,x93112,f330(f74(x93113,x93112,x93111,x93114),x93115)),f246(f937(x93111,a925))),f246(f937(x93112,a925))) % 242.40/242.48 [9685]E(x96851,f116(x96852))+~E(f330(f330(f137(x96852),x96851),x96853),f330(f330(f154(x96852),x96855),x96854))+E(f330(f330(f137(x96852),f702(x96853,x96851,x96854,x96855,x96852)),x96853),x96854) % 242.40/242.48 [9686]E(x96861,f116(x96862))+~E(f330(f330(f137(x96862),x96861),x96865),f330(f330(f154(x96862),x96864),x96863))+E(f330(f330(f137(x96862),f701(x96863,x96864,x96865,x96861,x96862)),x96865),x96863) % 242.40/242.48 [9694]E(f330(f330(f137(x96942),f701(x96944,x96943,x96941,x96945,x96942)),x96941),x96944)+~E(f330(f330(f137(x96942),x96945),x96941),f330(f330(f154(x96942),x96943),x96944))+E(x96941,f330(f330(f154(x96942),x96943),x96944)) % 242.40/242.48 [9695]~E(f330(f330(f137(x96951),x96955),x96954),f330(f330(f154(x96951),x96952),x96953))+E(f330(f330(f137(x96951),f702(x96954,x96955,x96953,x96952,x96951)),x96954),x96953)+E(f330(f330(f154(x96951),x96952),x96953),x96954) % 242.40/242.48 [9696]E(f330(f330(f137(x96961),x96965),f704(x96963,x96962,x96964,x96965,x96961)),x96962)+E(f330(f330(f137(x96961),x96962),f703(x96963,x96962,x96964,x96965,x96961)),x96965)+~E(f330(f330(f137(x96961),x96965),x96964),f330(f330(f137(x96961),x96962),x96963)) % 242.40/242.48 [9732]~P112(x97321)+P16(x97321,f330(f330(f157(x97322,x97321),x97323),f152(x97322,x97321,x97323,x97324,x97325)))+~P16(x97321,f330(f330(f157(x97322,x97321),x97323),x97325)) % 242.40/242.48 [9746]~P65(x97465,x97461,x97464,x97463)+P1(f330(f330(x97461,x97462),f540(x97463,x97464,x97461,x97465,x97462)))+~P1(f330(f330(f332(x97465),x97462),x97464)) % 242.40/242.48 [9747]~P65(x97475,x97471,x97474,x97473)+P1(f330(f330(x97471,x97472),f823(x97473,x97474,x97471,x97475,x97472)))+~P1(f330(f330(f332(x97475),x97472),x97474)) % 242.40/242.48 [9850]~P1(f330(f330(f332(f936(x98501,x98501)),f330(f330(f256(x98501,x98501),x98505),x98503)),f310(x98501,x98504)))+P1(f330(f330(f332(f936(x98501,x98501)),f330(f330(f256(x98501,x98501),x98502),x98503)),f330(f330(f292(x98501,x98501,x98501),x98504),f310(x98501,x98504))))+~P1(f330(f330(f332(f936(x98501,x98501)),f330(f330(f256(x98501,x98501),x98502),x98505)),f330(f330(f292(x98501,x98501,x98501),x98504),f310(x98501,x98504)))) % 242.40/242.48 [9851]~P1(f330(f330(f332(f936(x98511,x98511)),f330(f330(f256(x98511,x98511),x98512),x98515)),f310(x98511,x98514)))+P1(f330(f330(f332(f936(x98511,x98511)),f330(f330(f256(x98511,x98511),x98512),x98513)),f330(f330(f292(x98511,x98511,x98511),x98514),f310(x98511,x98514))))+~P1(f330(f330(f332(f936(x98511,x98511)),f330(f330(f256(x98511,x98511),x98515),x98513)),f330(f330(f292(x98511,x98511,x98511),x98514),f310(x98511,x98514)))) % 242.40/242.48 [9853]P1(f330(f330(f332(f936(f931(x98531),f931(x98531))),f330(f330(f256(f931(x98531),f931(x98531)),x98532),x98533)),f161(x98531,f310(x98531,x98534))))+~P1(f330(f330(f332(f936(f931(x98531),f931(x98531))),f330(f330(f256(f931(x98531),f931(x98531)),x98532),x98535)),f161(x98531,f310(x98531,x98534))))+~P1(f330(f330(f332(f936(f931(x98531),f931(x98531))),f330(f330(f256(f931(x98531),f931(x98531)),x98535),x98533)),f161(x98531,f310(x98531,x98534)))) % 242.40/242.48 [9857]E(f330(f330(f137(x98571),x98572),f703(x98573,x98572,x98574,x98575,x98571)),x98575)+E(f330(f330(f137(x98571),f704(x98573,x98572,x98574,x98575,x98571)),x98573),x98574)+~E(f330(f330(f137(x98571),x98572),x98573),f330(f330(f137(x98571),x98575),x98574)) % 242.40/242.48 [9858]E(f330(f330(f137(x98581),x98582),f704(x98583,x98584,x98585,x98582,x98581)),x98584)+E(f330(f330(f137(x98581),f703(x98583,x98584,x98585,x98582,x98581)),x98585),x98583)+~E(f330(f330(f137(x98581),x98582),x98585),f330(f330(f137(x98581),x98584),x98583)) % 242.40/242.48 [9912]P1(f330(f330(f332(f936(x99121,x99121)),f330(f330(f256(x99121,x99121),x99122),x99123)),f330(f330(f292(x99121,x99121,x99121),x99124),f310(x99121,x99124))))+~P1(f330(f330(f332(f936(x99121,x99121)),f330(f330(f256(x99121,x99121),x99122),x99125)),f330(f330(f292(x99121,x99121,x99121),x99124),f310(x99121,x99124))))+~P1(f330(f330(f332(f936(x99121,x99121)),f330(f330(f256(x99121,x99121),x99125),x99123)),f330(f330(f292(x99121,x99121,x99121),x99124),f310(x99121,x99124)))) % 242.40/242.48 [9939]P39(x99391,x99392,x99393,x99394,x99395)+~E(f330(f192(f931(x99391)),x99394),f330(f192(f931(x99392)),x99395))+~P1(f330(f330(f261(x99391,x99392,a925),x99393),f720(x99395,x99394,x99393,x99392,x99391))) % 242.40/242.48 [9940]P39(x99401,x99402,x99403,x99404,x99405)+~E(f330(f192(f931(x99401)),x99404),f330(f192(f931(x99402)),x99405))+~P1(f330(f330(f261(x99401,x99402,a925),x99403),f721(x99403,x99405,x99404,x99402,x99401))) % 242.40/242.48 [9945]E(f330(f330(f137(x99451),f703(x99452,x99453,x99454,x99455,x99451)),x99454),x99452)+~E(f330(f330(f137(x99451),x99453),x99452),f330(f330(f137(x99451),x99455),x99454))+E(f330(f330(f137(x99451),f704(x99452,x99453,x99454,x99455,x99451)),x99452),x99454) % 242.40/242.48 [9960]~P112(x99602)+E(f330(f330(f151(x99601,x99602,x99603),x99604),x99605),f330(f330(f154(x99601),x99604),x99605))+P1(f330(f330(f332(x99601),f765(x99604,x99603,x99605,x99601,x99602)),f330(f175(x99601),x99605))) % 242.40/242.48 [9964]~P65(x99641,x99644,x99643,x99642)+~P1(f330(f330(f332(x99641),x99645),x99643))+P1(f330(f330(f332(x99641),f540(x99642,x99643,x99644,x99641,x99645)),x99642)) % 242.40/242.48 [9965]~P65(x99651,x99654,x99653,x99652)+~P1(f330(f330(f332(x99651),x99655),x99653))+P1(f330(f330(f332(x99651),f823(x99652,x99653,x99654,x99651,x99655)),x99652)) % 242.40/242.48 [10079]~P1(f330(f330(f332(f936(f937(x100791,a925),f937(x100791,a925))),f330(f330(f256(f937(x100791,a925),f937(x100791,a925)),x100794),x100793)),f322(x100791,x100792)))+~P1(f330(f330(f332(x100791),x100795),x100794))+P1(f330(f330(f332(x100791),f590(x100792,x100793,x100794,x100791,x100795)),x100793)) % 242.40/242.48 [10089]~P112(x100892)+E(f330(f330(f151(x100891,x100892,x100893),x100894),x100895),f330(f330(f154(x100891),x100894),x100895))+~P1(f330(f330(f239(x100892),f330(x100893,x100894)),f330(x100893,f765(x100894,x100893,x100895,x100891,x100892)))) % 242.40/242.48 [10138]~P28(x101383,x101384,x101385,f246(f937(x101383,a925)))+P1(f330(x101381,x101382))+~P1(f330(x101381,f330(f94(x101383,x101384,f246(f937(x101383,a925)),x101385),f691(x101382,x101381,x101385,x101384,x101383)))) % 242.40/242.48 [10273]P39(x102731,x102732,x102733,x102734,x102735)+~E(f330(f192(f931(x102731)),x102734),f330(f192(f931(x102732)),x102735))+~P1(f330(f330(x102733,f330(f330(f167(x102731),x102734),f722(x102735,x102734,x102733,x102732,x102731))),f330(f330(f167(x102732),x102735),f722(x102735,x102734,x102733,x102732,x102731)))) % 242.40/242.48 [10274]P39(x102741,x102742,x102743,x102744,x102745)+~E(f330(f192(f931(x102741)),x102744),f330(f192(f931(x102742)),x102745))+~P1(f330(f330(x102743,f330(f330(f167(x102741),x102744),f756(x102743,x102745,x102742,x102744,x102741))),f330(f330(f167(x102742),x102745),f756(x102743,x102745,x102742,x102744,x102741)))) % 242.40/242.48 [6810]~P20(x68102,x68105,x68101)+~P1(f330(f63(x68102),x68104))+E(f330(x68101,f330(f330(f312(x68102),x68103),x68104)),f330(f330(f66(x68102,x68102,x68105),x68103),x68104)) % 242.40/242.48 [6811]~E(x68113,x68114)+~E(x68112,x68115)+E(f330(f330(f312(x68111),x68112),f330(f330(f312(x68111),x68113),f191(f937(x68111,a925)))),f330(f330(f312(x68111),x68114),f330(f330(f312(x68111),x68115),f191(f937(x68111,a925))))) % 242.40/242.48 [6822]P1(f330(x68222,x68225))+E(f180(x68221,x68222,f330(f330(f137(x68221),x68223),x68224)),f180(x68221,x68222,x68223))+~P1(f330(f330(f332(x68221),x68225),f330(f175(x68221),x68223))) % 242.40/242.48 [6858]E(f330(x68581,x68582),f191(f937(x68583,a925)))+~E(f330(f330(f41(x68584,f937(x68583,a925)),x68585),x68581),f191(f937(x68583,a925)))+~P1(f330(f330(f332(x68584),x68582),x68585)) % 242.40/242.48 [6859]E(f330(x68591,x68592),f246(f937(x68593,a925)))+~E(f330(f330(f42(x68594,f937(x68593,a925)),x68595),x68591),f246(f937(x68593,a925)))+~P1(f330(f330(f332(x68594),x68592),x68595)) % 242.40/242.48 [7156]~P1(f330(f330(f197(x71561),x71563),x71565))+~P1(f330(f330(f197(x71562),x71565),x71564))+P1(f330(f330(f197(f32(x71561,x71562)),x71563),x71564)) % 242.40/242.48 [7359]~E(x73592,x73594)+~P148(x73591)+E(f330(f330(f82(x73591),f330(f330(f83(x73591),x73592),x73593)),f330(f330(f83(x73591),x73594),x73595)),f330(f330(f82(x73591),f330(f330(f83(x73591),x73592),x73595)),f330(f330(f83(x73591),x73594),x73593))) % 242.40/242.48 [7419]~P8(x74191)+~P1(f330(f330(f332(x74194),x74193),x74195))+P1(f330(f330(f239(x74191),f330(x74192,x74193)),f330(f330(f41(x74194,x74191),x74195),x74192))) % 242.40/242.48 [7471]~P111(x74711)+P1(f330(f330(f239(x74711),f330(x74712,x74713)),f330(x74714,x74713)))+~P1(f330(f330(f239(f937(x74715,x74711)),x74712),x74714)) % 242.40/242.48 [7599]E(x75991,x75992)+E(x75993,x75991)+~E(f330(f330(f312(x75994),x75991),f330(f330(f312(x75994),x75995),f191(f937(x75994,a925)))),f330(f330(f312(x75994),x75992),f330(f330(f312(x75994),x75993),f191(f937(x75994,a925))))) % 242.40/242.48 [7600]E(x76001,x76002)+E(x76003,x76001)+~E(f330(f330(f312(x76004),x76003),f330(f330(f312(x76004),x76002),f191(f937(x76004,a925)))),f330(f330(f312(x76004),x76005),f330(f330(f312(x76004),x76001),f191(f937(x76004,a925))))) % 242.40/242.48 [7601]E(x76011,x76012)+E(x76011,x76013)+~E(f330(f330(f312(x76014),x76013),f330(f330(f312(x76014),x76012),f191(f937(x76014,a925)))),f330(f330(f312(x76014),x76015),f330(f330(f312(x76014),x76011),f191(f937(x76014,a925))))) % 242.40/242.48 [7602]E(x76021,x76022)+E(x76021,x76023)+~E(f330(f330(f312(x76024),x76021),f330(f330(f312(x76024),x76025),f191(f937(x76024,a925)))),f330(f330(f312(x76024),x76022),f330(f330(f312(x76024),x76023),f191(f937(x76024,a925))))) % 242.40/242.48 [8137]P28(x81371,x81372,x81373,x81374)+~P28(x81371,x81372,x81373,x81375)+~P1(f330(f330(f239(f937(x81371,a925)),x81374),x81375)) % 242.40/242.48 [8167]~E(f330(x81673,x81675),x81674)+~P28(x81671,x81672,x81673,f246(f937(x81671,a925)))+E(f330(f94(x81671,x81672,f246(f937(x81671,a925)),x81673),x81674),x81675) % 242.40/242.48 [8242]P1(f330(x82421,x82422))+~P1(f330(f330(f197(x82424),x82422),x82425))+P1(f330(f330(f197(f29(x82421,x82423,x82424)),x82422),x82425)) % 242.40/242.48 [8270]~P1(f330(x82701,x82704))+~P1(f330(f330(f197(x82702),x82704),x82705))+P1(f330(f330(f197(f29(x82701,x82702,x82703)),x82704),x82705)) % 242.40/242.48 [8324]E(x83241,x83242)+~E(f330(f313(x83243,x83244,x83245),x83241),f330(f313(x83243,x83244,x83245),x83242))+~P28(x83243,x83244,x83245,f330(f330(f113(f937(x83243,a925)),x83241),x83242)) % 242.40/242.48 [8398]P1(f330(x83982,x83984))+E(f330(f330(f141(x83981),f330(f192(f931(x83981)),f180(x83981,x83982,x83983))),x83983),f330(f330(f154(x83981),x83984),x83985))+~E(f330(f330(f137(x83981),f180(x83981,x83982,x83983)),f330(f330(f154(x83981),x83984),x83985)),x83983) % 242.40/242.48 [8427]~P28(x84271,x84272,x84273,x84275)+~P28(x84271,x84272,x84273,x84274)+P28(x84271,x84272,x84273,f330(f330(f104(f937(x84271,a925)),x84274),x84275)) % 242.40/242.48 [8537]~P74(x85371)+E(f330(f330(f82(x85371),f330(x85372,x85373)),f330(f168(x85371),f330(f330(f157(x85374,x85371),x85372),f173(x85374,x85373,x85375)))),f330(f168(x85371),f330(f330(f157(x85374,x85371),x85372),x85375)))+~P1(f330(f330(f332(x85374),x85373),f330(f175(x85374),x85375))) % 242.40/242.48 [8627]~P112(x86271)+~P16(x86271,f330(f330(f157(x86272,x86271),x86273),x86275))+P16(x86271,f330(f330(f157(x86272,x86271),x86273),f330(f330(f151(x86272,x86271,x86273),x86274),x86275))) % 242.40/242.48 [8707]P1(f330(x87071,x87072))+P1(f330(f330(f197(x87073),x87072),x87074))+~P1(f330(f330(f197(f29(x87071,x87075,x87073)),x87072),x87074)) % 242.40/242.48 [8718]~P8(x87181)+P1(f330(f330(f239(x87181),f330(f330(f41(x87182,x87181),x87183),x87184)),f330(f330(f41(x87182,x87181),x87185),x87184)))+~P1(f330(f330(f239(f937(x87182,a925)),x87183),x87185)) % 242.40/242.48 [8719]~P8(x87191)+P1(f330(f330(f239(x87191),f330(f330(f42(x87192,x87191),x87193),x87194)),f330(f330(f42(x87192,x87191),x87195),x87194)))+~P1(f330(f330(f239(f937(x87192,a925)),x87195),x87193)) % 242.40/242.48 [8728]~P1(f330(x87284,x87282))+P1(f330(f330(f197(x87281),x87282),x87283))+~P1(f330(f330(f197(f29(x87284,x87281,x87285)),x87282),x87283)) % 242.40/242.48 [8755]~P112(x87553)+P1(f330(f140(x87551),x87552))+~P1(f330(f140(x87551),f330(f330(f151(x87551,x87553,x87554),x87555),x87552))) % 242.40/242.48 [8765]P1(f330(f330(f197(x87651),x87652),x87653))+P1(f330(f330(f197(x87654),x87652),x87653))+~P1(f330(f330(f197(f29(x87655,x87651,x87654)),x87652),x87653)) % 242.40/242.48 [8902]~P112(x89021)+~P1(f330(f330(f332(x89022),x89023),f330(f175(x89022),x89024)))+~P1(f330(f140(x89022),f330(f330(f151(x89022,x89021,x89025),x89023),x89024))) % 242.40/242.48 [8992]~P112(x89921)+P16(x89921,f330(f330(f157(x89922,x89921),x89923),x89924))+~P16(x89921,f330(f330(f157(x89922,x89921),x89923),f330(f330(f151(x89922,x89921,x89923),x89925),x89924))) % 242.40/242.48 [9038]~P28(x90382,x90381,x90384,x90383)+E(f330(f313(x90381,x90382,f94(x90382,x90381,x90383,x90384)),f330(f313(x90382,x90381,x90384),x90385)),x90385)+~P1(f330(f330(f239(f937(x90382,a925)),x90385),x90383)) % 242.40/242.48 [9091]~P112(x90912)+E(f330(f330(f151(x90911,x90912,x90913),x90914),x90915),f152(x90911,x90912,x90913,x90914,x90915))+P1(f330(f330(f332(x90912),f330(x90913,x90914)),f330(f313(x90911,x90912,x90913),f330(f175(x90911),x90915)))) % 242.40/242.48 [9173]~P112(x91732)+E(f152(x91731,x91732,x91733,x91734,x91735),x91735)+~P1(f330(f330(f332(x91732),f330(x91733,x91734)),f330(f313(x91731,x91732,x91733),f330(f175(x91731),x91735)))) % 242.40/242.48 [9191]~P28(x91912,x91911,x91913,x91915)+P1(f330(f330(f240(f937(x91911,a925)),f330(f313(x91912,x91911,x91913),x91914)),f330(f313(x91912,x91911,x91913),x91915)))+~P1(f330(f330(f240(f937(x91912,a925)),x91914),x91915)) % 242.40/242.48 [9352]~P28(x93521,x93522,x93523,f246(f937(x93521,a925)))+~P1(f330(f330(f239(f937(x93522,a925)),x93524),f330(f313(x93521,x93522,x93523),x93525)))+P1(f330(f330(f239(f937(x93521,a925)),f330(f314(x93521,x93522,x93523),x93524)),x93525)) % 242.40/242.48 [9376]~E(f330(f313(x93763,x93761,x93764),f246(f937(x93763,a925))),f246(f937(x93761,a925)))+P1(f330(f330(f239(f937(x93761,a925)),x93762),f330(f313(x93763,x93761,x93764),x93765)))+~P1(f330(f330(f239(f937(x93763,a925)),f330(f314(x93763,x93761,x93764),x93762)),x93765)) % 242.40/242.48 [9487]~P28(x94871,x94874,x94875,f246(f937(x94871,a925)))+~P1(f330(f330(f239(f937(x94874,a925)),f330(f313(x94871,x94874,x94875),x94872)),f330(f313(x94871,x94874,x94875),x94873)))+P1(f330(f330(f239(f937(x94871,a925)),x94872),x94873)) % 242.40/242.48 [9609]~P85(x96091)+~E(f330(x96093,f740(x96093,x96094,x96095,x96092,x96091)),f2(x96091))+E(f330(f168(x96091),f330(f330(f157(x96092,x96091),x96093),f330(f139(x96092,x96094),x96095))),f330(f168(x96091),f330(f330(f157(x96092,x96091),x96093),x96095))) % 242.40/242.48 [9636]~P29(x96361,x96362,x96363,f246(f937(x96361,a925)),f246(f937(x96362,a925)))+~P1(f330(f330(f239(f937(x96362,a925)),x96364),f330(f313(x96361,x96362,x96363),x96365)))+P1(f330(f330(f239(f937(x96361,a925)),f330(f314(x96361,x96362,x96363),x96364)),x96365)) % 242.40/242.48 [9665]~P29(x96653,x96651,x96654,f246(f937(x96653,a925)),f246(f937(x96651,a925)))+P1(f330(f330(f239(f937(x96651,a925)),x96652),f330(f313(x96653,x96651,x96654),x96655)))+~P1(f330(f330(f239(f937(x96653,a925)),f330(f314(x96653,x96651,x96654),x96652)),x96655)) % 242.40/242.48 [9791]~P19(x97911,x97912,x97913)+~P1(f330(f63(x97911),x97915))+P1(f330(f68(x97911,x97912,x97913,x97914,x97915),f330(f330(f66(x97911,x97912,x97913),x97914),x97915))) % 242.40/242.48 [9870]~P29(x98702,x98701,x98704,f246(f937(x98702,a925)),f246(f937(x98701,a925)))+~P29(x98701,x98703,x98705,f246(f937(x98701,a925)),f246(f937(x98703,a925)))+E(f330(f74(x98701,x98702,x98703,f94(x98702,x98701,f246(f937(x98702,a925)),x98704)),f94(x98701,x98703,f246(f937(x98701,a925)),x98705)),f94(x98702,x98703,f246(f937(x98702,a925)),f330(f74(x98701,x98703,x98702,x98705),x98704))) % 242.40/242.48 [9871]P1(f330(x98711,f659(x98712,x98711,x98713,x98714,x98715)))+~P1(f330(f330(f239(f937(x98715,a925)),x98714),x98713))+P1(f330(f330(f239(f937(x98715,a925)),f330(f330(f104(f937(x98715,a925)),x98714),f330(f266(x98715),x98711))),f330(f330(f104(f937(x98715,a925)),x98713),f330(f266(x98715),x98712)))) % 242.40/242.48 [9885]~P85(x98851)+~P1(f330(x98854,f740(x98853,x98854,x98855,x98852,x98851)))+E(f330(f168(x98851),f330(f330(f157(x98852,x98851),x98853),f330(f139(x98852,x98854),x98855))),f330(f168(x98851),f330(f330(f157(x98852,x98851),x98853),x98855))) % 242.40/242.48 [9962]~P8(x99625)+P1(f330(f330(f332(x99621),f625(x99622,x99623,x99621,x99624,x99625)),x99623))+P1(f330(f330(f239(x99625),x99624),f330(f330(f42(x99621,x99625),x99623),x99622))) % 242.40/242.48 [9966]~P85(x99661)+E(f330(f168(x99661),f330(f330(f157(x99662,x99661),x99663),f330(f139(x99662,x99664),x99665))),f330(f168(x99661),f330(f330(f157(x99662,x99661),x99663),x99665)))+P1(f330(f330(f332(x99662),f740(x99663,x99664,x99665,x99662,x99661)),f330(f175(x99662),x99665))) % 242.40/242.48 [9976]~P1(f330(x99765,f659(x99765,x99763,x99764,x99762,x99761)))+~P1(f330(f330(f239(f937(x99761,a925)),x99762),x99764))+P1(f330(f330(f239(f937(x99761,a925)),f330(f330(f104(f937(x99761,a925)),x99762),f330(f266(x99761),x99763))),f330(f330(f104(f937(x99761,a925)),x99764),f330(f266(x99761),x99765)))) % 242.40/242.48 [9992]~P28(x99925,x99923,x99924,f246(f937(x99925,a925)))+P1(f330(x99921,x99922))+P1(f330(f330(f332(x99923),f691(x99922,x99921,x99924,x99923,x99925)),f330(f313(x99925,x99923,x99924),f246(f937(x99925,a925))))) % 242.40/242.48 [10015]P39(x100151,x100152,x100153,x100154,x100155)+~E(f330(f192(f931(x100152)),x100155),f330(f192(f931(x100151)),x100154))+P1(f330(f330(f240(a930),f722(x100155,x100154,x100153,x100152,x100151)),f330(f192(f931(x100151)),x100154))) % 242.40/242.48 [10016]P39(x100161,x100162,x100163,x100164,x100165)+~E(f330(f192(f931(x100162)),x100165),f330(f192(f931(x100161)),x100164))+P1(f330(f330(f240(a930),f756(x100163,x100165,x100162,x100164,x100161)),f330(f192(f931(x100161)),x100164))) % 242.40/242.48 [10047]P1(f330(f330(f332(x100471),f659(x100472,x100473,x100474,x100475,x100471)),x100475))+~P1(f330(f330(f239(f937(x100471,a925)),x100475),x100474))+P1(f330(f330(f239(f937(x100471,a925)),f330(f330(f104(f937(x100471,a925)),x100475),f330(f266(x100471),x100473))),f330(f330(f104(f937(x100471,a925)),x100474),f330(f266(x100471),x100472)))) % 242.40/242.48 [10090]~P8(x100901)+~P1(f330(f330(f239(x100901),x100902),f330(x100905,f625(x100905,x100904,x100903,x100902,x100901))))+P1(f330(f330(f239(x100901),x100902),f330(f330(f42(x100903,x100901),x100904),x100905))) % 242.40/242.48 [10127]~P80(x101271)+~P1(f330(f63(x101272),x101275))+E(f330(f330(f330(f67(x101271,x101272,f83(x101271)),f330(f330(f18(x101272,x101271,x101271),f330(f330(f8(x101271,f937(x101271,x101271),x101272),f83(x101271)),x101273)),x101274)),f80(x101271)),x101275),f330(f330(f83(x101271),f330(f330(f330(f67(x101271,x101272,f83(x101271)),x101273),f80(x101271)),x101275)),f330(f330(f330(f67(x101271,x101272,f83(x101271)),x101274),f80(x101271)),x101275))) % 242.40/242.48 [10182]~P1(f330(f330(f332(f936(f937(x101821,a925),f937(x101821,a925))),f330(f330(f256(f937(x101821,a925),f937(x101821,a925)),x101825),x101824)),f322(x101821,x101823)))+~P1(f330(f330(f332(x101821),x101822),x101825))+P1(f330(f330(f332(f936(x101821,x101821)),f330(f330(f256(x101821,x101821),x101822),f590(x101823,x101824,x101825,x101821,x101822))),x101823)) % 242.40/242.48 [10306]~P1(f330(f330(f332(f936(f931(x103061),f931(x103061))),f330(f330(f256(f931(x103061),f931(x103061)),f330(f330(f137(x103061),x103065),x103062)),f330(f330(f137(x103061),x103065),x103063))),f150(x103061,x103064)))+P1(f330(f330(f332(f936(f931(x103061),f931(x103061))),f330(f330(f256(f931(x103061),f931(x103061)),x103062),x103063)),f150(x103061,x103064)))+P1(f330(f330(f332(f936(x103061,x103061)),f330(f330(f256(x103061,x103061),f709(x103064,x103063,x103062,x103065,x103061)),f709(x103064,x103063,x103062,x103065,x103061))),x103064)) % 242.40/242.48 [7474]~E(x74743,x74745)+E(f330(f330(f167(x74741),f330(f330(f162(x74741,x74742),x74743),x74744)),x74745),x74744)+~P1(f330(f330(f240(a930),x74743),f330(f192(f931(x74741)),x74742))) % 242.40/242.48 [7596]~E(f330(f330(f137(x75961),x75962),x75964),f330(f330(f137(x75961),x75963),x75965))+E(f330(f330(f178(x75961),f330(f192(f931(x75961)),x75962)),x75963),x75962)+P1(f330(f330(f239(a930),f330(f192(f931(x75961)),x75963)),f330(f192(f931(x75961)),x75962))) % 242.40/242.48 [8098]~E(f330(f330(f137(x80981),x80982),x80984),f330(f330(f137(x80981),x80983),x80985))+E(f330(f330(f178(x80981),f330(f192(f931(x80981)),x80982)),x80983),x80982)+~P1(f330(f330(f239(a930),f330(f192(f931(x80981)),x80982)),f330(f192(f931(x80981)),x80983))) % 242.40/242.48 [8122]~P1(f330(f63(x81221),f330(x81224,x81225)))+~P1(f330(f330(f332(x81222),x81225),x81223))+P1(f330(f63(x81221),f330(f330(f42(x81222,f937(x81221,a925)),x81223),x81224))) % 242.40/242.48 [8307]~P59(x83071,x83073,x83075)+~P59(x83071,x83072,x83074)+P59(x83071,f330(f330(f113(f937(x83071,a925)),x83072),x83073),f330(f330(f113(f937(f936(x83071,x83071),a925)),x83074),x83075)) % 242.40/242.48 [8308]~P59(x83081,x83083,x83085)+~P59(x83081,x83082,x83084)+P59(x83081,f330(f330(f104(f937(x83081,a925)),x83082),x83083),f330(f330(f104(f937(f936(x83081,x83081),a925)),x83084),x83085)) % 242.40/242.48 [8669]E(f330(f330(f256(x86691,x86692),f330(f330(f167(x86691),x86693),x86694)),f330(f330(f167(x86692),x86695),x86694)),f330(f330(f167(f936(x86691,x86692)),f330(f330(f184(x86691,x86692),x86693),x86695)),x86694))+~P1(f330(f330(f240(a930),x86694),f330(f192(f931(x86691)),x86693)))+~P1(f330(f330(f240(a930),x86694),f330(f192(f931(x86692)),x86695))) % 242.40/242.48 [8831]~P59(x88311,x88313,x88314)+P1(f330(f330(f332(x88311),x88312),x88313))+~P1(f330(f330(f332(f936(x88311,x88311)),f330(f330(f256(x88311,x88311),x88315),x88312)),x88314)) % 242.40/242.48 [8832]~P59(x88321,x88323,x88324)+P1(f330(f330(f332(x88321),x88322),x88323))+~P1(f330(f330(f332(f936(x88321,x88321)),f330(f330(f256(x88321,x88321),x88322),x88325)),x88324)) % 242.40/242.48 [8833]~P11(x88331,x88333,x88334)+P1(f330(f330(f332(x88331),x88332),x88333))+~P1(f330(f330(f332(f936(x88331,x88331)),f330(f330(f256(x88331,x88331),x88335),x88332)),x88334)) % 242.40/242.48 [8834]~P11(x88341,x88343,x88344)+P1(f330(f330(f332(x88341),x88342),x88343))+~P1(f330(f330(f332(f936(x88341,x88341)),f330(f330(f256(x88341,x88341),x88342),x88345)),x88344)) % 242.40/242.48 [9115]~P11(x91151,x91155,x91152)+E(f330(f289(x91151,x91151,x91152),f330(f330(f312(x91151),x91153),f191(f937(x91151,a925)))),f330(f289(x91151,x91151,x91152),f330(f330(f312(x91151),x91154),f191(f937(x91151,a925)))))+~P1(f330(f330(f332(f936(x91151,x91151)),f330(f330(f256(x91151,x91151),x91153),x91154)),x91152)) % 242.40/242.48 [9308]P1(f330(x93081,x93082))+~P1(f330(f330(f332(x93083),x93082),x93085))+P1(f330(f330(f332(x93083),f882(x93081,x93084,x93085,x93083)),f330(f330(f113(f937(x93083,a925)),x93085),x93084))) % 242.40/242.48 [9309]P1(f330(x93091,x93092))+~P1(f330(f330(f332(x93093),x93092),x93094))+P1(f330(f330(f332(x93093),f882(x93091,x93094,x93095,x93093)),f330(f330(f113(f937(x93093,a925)),x93095),x93094))) % 242.40/242.48 [9317]~P1(f330(x93172,x93175))+~P1(f330(f330(f332(x93171),x93175),x93174))+P1(f330(f330(f332(x93171),f342(x93172,x93173,x93174,x93171)),f330(f330(f113(f937(x93171,a925)),x93174),x93173))) % 242.40/242.48 [9318]~P1(f330(x93182,x93185))+~P1(f330(f330(f332(x93181),x93185),x93183))+P1(f330(f330(f332(x93181),f342(x93182,x93183,x93184,x93181)),f330(f330(f113(f937(x93181,a925)),x93184),x93183))) % 242.40/242.48 [9333]~P1(f330(f330(f239(f937(x93331,a925)),x93333),x93335))+~P1(f330(f330(f239(f937(x93331,a925)),x93332),x93334))+P1(f330(f330(f239(f937(x93331,a925)),f330(f330(f113(f937(x93331,a925)),x93332),x93333)),f330(f330(f113(f937(x93331,a925)),x93334),x93335))) % 242.40/242.48 [9334]~P1(f330(f330(f239(f937(x93341,a925)),x93345),x93343))+~P1(f330(f330(f239(f937(x93341,a925)),x93342),x93344))+P1(f330(f330(f239(f937(x93341,a925)),f330(f330(f23(f937(x93341,a925)),x93342),x93343)),f330(f330(f23(f937(x93341,a925)),x93344),x93345))) % 242.40/242.48 [9335]~P1(f330(f330(f239(f937(x93351,a925)),x93353),x93355))+~P1(f330(f330(f239(f937(x93351,a925)),x93352),x93354))+P1(f330(f330(f239(f937(x93351,a925)),f330(f330(f104(f937(x93351,a925)),x93352),x93353)),f330(f330(f104(f937(x93351,a925)),x93354),x93355))) % 242.40/242.48 [9436]P1(f330(f330(f332(f936(x94361,x94361)),f330(f330(f256(x94361,x94361),x94362),x94363)),f324(x94361,x94364,x94365)))+~P1(f330(f330(f239(a930),f330(x94364,x94362)),f330(x94364,x94363)))+~P1(f330(f330(f332(f936(x94361,x94361)),f330(f330(f256(x94361,x94361),x94362),x94363)),x94365)) % 242.40/242.48 [9619]P1(f330(f330(f332(f936(x96191,x96191)),f330(f330(f256(x96191,x96191),x96192),x96193)),f310(x96191,x96194)))+~P1(f330(f330(f332(f936(x96191,x96191)),f330(f330(f256(x96191,x96191),x96192),x96195)),f310(x96191,x96194)))+~P1(f330(f330(f332(f936(x96191,x96191)),f330(f330(f256(x96191,x96191),x96195),x96193)),x96194)) % 242.40/242.48 [9620]P1(f330(f330(f332(f936(x96201,x96201)),f330(f330(f256(x96201,x96201),x96202),x96203)),f310(x96201,x96204)))+~P1(f330(f330(f332(f936(x96201,x96201)),f330(f330(f256(x96201,x96201),x96205),x96203)),f310(x96201,x96204)))+~P1(f330(f330(f332(f936(x96201,x96201)),f330(f330(f256(x96201,x96201),x96202),x96205)),x96204)) % 242.40/242.48 [9719]E(x97191,x97192)+E(f330(a115,f605(x97193,x97194,x97191,x97192,x97195)),x97194)+~P1(f330(f330(f332(f936(x97195,x97195)),f330(f330(f256(x97195,x97195),x97192),x97191)),f330(f330(f186(f936(x97195,x97195),a925),x97194),x97193))) % 242.40/242.48 [9720]E(x97201,x97202)+E(f330(a115,f606(x97203,x97204,x97201,x97202,x97205)),x97204)+~P1(f330(f330(f332(f936(x97205,x97205)),f330(f330(f256(x97205,x97205),x97202),x97201)),f330(f330(f186(f936(x97205,x97205),a925),x97204),x97203))) % 242.40/242.48 [9721]E(x97211,f2(a930))+E(f330(a115,f605(x97212,x97211,x97213,x97214,x97215)),x97211)+~P1(f330(f330(f332(f936(x97215,x97215)),f330(f330(f256(x97215,x97215),x97214),x97213)),f330(f330(f186(f936(x97215,x97215),a925),x97211),x97212))) % 242.40/242.48 [9722]E(x97221,f2(a930))+E(f330(a115,f606(x97222,x97221,x97223,x97224,x97225)),x97221)+~P1(f330(f330(f332(f936(x97225,x97225)),f330(f330(f256(x97225,x97225),x97224),x97223)),f330(f330(f186(f936(x97225,x97225),a925),x97221),x97222))) % 242.40/242.48 [9743]P1(f330(f330(f332(f936(x97431,x97431)),f330(f330(f256(x97431,x97431),x97432),x97433)),f330(f330(f292(x97431,x97431,x97431),x97434),f310(x97431,x97434))))+~P1(f330(f330(f332(f936(x97431,x97431)),f330(f330(f256(x97431,x97431),x97432),x97435)),x97434))+~P1(f330(f330(f332(f936(x97431,x97431)),f330(f330(f256(x97431,x97431),x97435),x97433)),x97434)) % 242.40/242.48 [9750]~P1(f330(f330(f332(f936(x97501,x97501)),f330(f330(f256(x97501,x97501),x97502),x97505)),f310(x97501,x97504)))+P1(f330(f330(f332(f936(x97501,x97501)),f330(f330(f256(x97501,x97501),x97502),x97503)),f330(f330(f292(x97501,x97501,x97501),x97504),f310(x97501,x97504))))+~P1(f330(f330(f332(f936(x97501,x97501)),f330(f330(f256(x97501,x97501),x97505),x97503)),x97504)) % 242.40/242.48 [9785]~P11(x97851,x97855,x97852)+~P1(f330(f330(f332(f936(x97851,x97851)),f330(f330(f256(x97851,x97851),x97853),x97854)),x97852))+P1(f330(f330(f239(f937(x97851,a925)),f330(f289(x97851,x97851,x97852),f330(f330(f312(x97851),x97853),f191(f937(x97851,a925))))),f330(f289(x97851,x97851,x97852),f330(f330(f312(x97851),x97854),f191(f937(x97851,a925)))))) % 242.40/242.48 [9843]P1(f330(f330(f332(f936(x98431,x98431)),f330(f330(f256(x98431,x98431),x98432),x98433)),f330(f330(f292(x98431,x98431,x98431),x98434),f310(x98431,x98434))))+~P1(f330(f330(f332(f936(x98431,x98431)),f330(f330(f256(x98431,x98431),x98432),x98435)),f330(f330(f292(x98431,x98431,x98431),x98434),f310(x98431,x98434))))+~P1(f330(f330(f332(f936(x98431,x98431)),f330(f330(f256(x98431,x98431),x98435),x98433)),x98434)) % 242.40/242.48 [9844]P1(f330(f330(f332(f936(x98441,x98441)),f330(f330(f256(x98441,x98441),x98442),x98443)),f330(f330(f292(x98441,x98441,x98441),x98444),f310(x98441,x98444))))+~P1(f330(f330(f332(f936(x98441,x98441)),f330(f330(f256(x98441,x98441),x98445),x98443)),f330(f330(f292(x98441,x98441,x98441),x98444),f310(x98441,x98444))))+~P1(f330(f330(f332(f936(x98441,x98441)),f330(f330(f256(x98441,x98441),x98442),x98445)),x98444)) % 242.40/242.48 [9894]~P1(f330(f68(x98941,x98941,x98944,x98942,x98943),x98945))+P1(f330(f330(f332(x98941),x98942),x98943))+P1(f330(f64(x98941,x98944,f330(f330(f312(x98941),x98942),x98943)),x98945)) % 242.40/242.48 [9932]~E(f330(f313(x99323,x99322,x99325),x99324),x99321)+E(x99321,f191(f937(x99322,a925)))+P1(f330(f330(f239(f937(x99323,a925)),f330(f313(x99322,x99323,f543(x99324,x99323,x99322,x99321)),x99321)),x99324)) % 242.40/242.48 [9979]~P8(x99795)+P1(f330(f330(f332(x99791),f453(x99792,x99793,x99794,x99791,x99795)),x99794))+P1(f330(f330(f239(x99795),f330(f330(f41(x99791,x99795),x99794),x99793)),x99792)) % 242.40/242.48 [10034]P39(x100341,x100342,x100343,x100344,x100345)+~E(f330(f192(f931(x100341)),x100344),f330(f192(f931(x100342)),x100345))+P1(f330(f330(f332(f936(x100341,x100342)),f720(x100345,x100344,x100343,x100342,x100341)),f330(f175(f936(x100341,x100342)),f330(f330(f184(x100341,x100342),x100344),x100345)))) % 242.40/242.48 [10035]P39(x100351,x100352,x100353,x100354,x100355)+~E(f330(f192(f931(x100351)),x100354),f330(f192(f931(x100352)),x100355))+P1(f330(f330(f332(f936(x100351,x100352)),f721(x100353,x100355,x100354,x100352,x100351)),f330(f175(f936(x100351,x100352)),f330(f330(f184(x100351,x100352),x100354),x100355)))) % 242.40/242.48 [10161]E(x101611,x101612)+P1(f330(f330(f332(f936(x101613,x101613)),f330(f330(f256(x101613,x101613),x101611),f603(x101614,x101615,x101612,x101611,x101613))),x101614))+~P1(f330(f330(f332(f936(x101613,x101613)),f330(f330(f256(x101613,x101613),x101611),x101612)),f330(f330(f186(f936(x101613,x101613),a925),x101615),x101614))) % 242.40/242.48 [10162]E(x101621,f2(a930))+P1(f330(f330(f332(f936(x101622,x101622)),f330(f330(f256(x101622,x101622),x101623),f603(x101624,x101621,x101625,x101623,x101622))),x101624))+~P1(f330(f330(f332(f936(x101622,x101622)),f330(f330(f256(x101622,x101622),x101623),x101625)),f330(f330(f186(f936(x101622,x101622),a925),x101621),x101624))) % 242.40/242.48 [10202]~P8(x102021)+~P1(f330(f330(f239(x102021),f330(x102024,f453(x102025,x102024,x102023,x102022,x102021))),x102025))+P1(f330(f330(f239(x102021),f330(f330(f41(x102022,x102021),x102023),x102024)),x102025)) % 242.40/242.48 [10243]E(x102431,x102432)+P1(f330(f330(f332(f936(x102433,x102433)),f330(f330(f256(x102433,x102433),f607(x102434,x102435,x102431,x102432,x102433)),x102431)),x102434))+~P1(f330(f330(f332(f936(x102433,x102433)),f330(f330(f256(x102433,x102433),x102432),x102431)),f330(f330(f186(f936(x102433,x102433),a925),x102435),x102434))) % 242.40/242.48 [10244]E(x102441,f2(a930))+P1(f330(f330(f332(f936(x102442,x102442)),f330(f330(f256(x102442,x102442),f607(x102443,x102441,x102444,x102445,x102442)),x102444)),x102443))+~P1(f330(f330(f332(f936(x102442,x102442)),f330(f330(f256(x102442,x102442),x102445),x102444)),f330(f330(f186(f936(x102442,x102442),a925),x102441),x102443))) % 242.40/242.48 [10248]E(x102481,x102482)+P1(f330(f330(f332(f936(x102483,x102483)),f330(f330(f256(x102483,x102483),x102481),f607(x102484,x102485,x102482,x102481,x102483))),f330(f330(f186(f936(x102483,x102483),a925),f606(x102484,x102485,x102482,x102481,x102483)),x102484)))+~P1(f330(f330(f332(f936(x102483,x102483)),f330(f330(f256(x102483,x102483),x102481),x102482)),f330(f330(f186(f936(x102483,x102483),a925),x102485),x102484))) % 242.40/242.48 [10249]E(x102491,f2(a930))+P1(f330(f330(f332(f936(x102492,x102492)),f330(f330(f256(x102492,x102492),x102493),f607(x102494,x102491,x102495,x102493,x102492))),f330(f330(f186(f936(x102492,x102492),a925),f606(x102494,x102491,x102495,x102493,x102492)),x102494)))+~P1(f330(f330(f332(f936(x102492,x102492)),f330(f330(f256(x102492,x102492),x102493),x102495)),f330(f330(f186(f936(x102492,x102492),a925),x102491),x102494))) % 242.40/242.48 [10297]E(x102971,x102972)+P1(f330(f330(f332(f936(x102973,x102973)),f330(f330(f256(x102973,x102973),f603(x102974,x102975,x102971,x102972,x102973)),x102971)),f330(f330(f186(f936(x102973,x102973),a925),f605(x102974,x102975,x102971,x102972,x102973)),x102974)))+~P1(f330(f330(f332(f936(x102973,x102973)),f330(f330(f256(x102973,x102973),x102972),x102971)),f330(f330(f186(f936(x102973,x102973),a925),x102975),x102974))) % 242.40/242.48 [10298]E(x102981,f2(a930))+P1(f330(f330(f332(f936(x102982,x102982)),f330(f330(f256(x102982,x102982),f603(x102983,x102981,x102984,x102985,x102982)),x102984)),f330(f330(f186(f936(x102982,x102982),a925),f605(x102983,x102981,x102984,x102985,x102982)),x102983)))+~P1(f330(f330(f332(f936(x102982,x102982)),f330(f330(f256(x102982,x102982),x102985),x102984)),f330(f330(f186(f936(x102982,x102982),a925),x102981),x102983))) % 242.40/242.48 [10333]~P74(x103332)+~P1(f330(f63(x103331),x103335))+E(f330(f330(f6(x103331,x103332),f330(f330(f7(x103331,x103332,x103332),f330(f330(f18(x103331,x103332,f937(x103332,x103332)),f330(f330(f8(a925,f937(x103332,f937(x103332,x103332)),x103331),f99(x103332)),f330(f330(f7(x103331,f937(x103331,a925),a925),f332(x103331)),x103333))),x103334)),f2(x103332))),x103335),f330(f330(f6(x103331,x103332),x103334),f330(f330(f104(f937(x103331,a925)),x103335),x103333))) % 242.40/242.48 [8899]~P74(x88991)+~P1(f330(f63(x88994),x88995))+E(f330(f330(f82(x88991),f330(x88992,x88993)),f330(f330(f6(x88994,x88991),x88992),f330(f330(f23(f937(x88994,a925)),x88995),f330(f330(f312(x88994),x88993),f191(f937(x88994,a925)))))),f330(f330(f6(x88994,x88991),x88992),f330(f330(f312(x88994),x88993),x88995))) % 242.40/242.48 [8900]~P80(x89001)+~P1(f330(f63(x89004),x89005))+E(f330(f330(f83(x89001),f330(x89002,x89003)),f330(f330(f9(x89004,x89001),x89002),f330(f330(f23(f937(x89004,a925)),x89005),f330(f330(f312(x89004),x89003),f191(f937(x89004,a925)))))),f330(f330(f9(x89004,x89001),x89002),f330(f330(f312(x89004),x89003),x89005))) % 242.40/242.48 [9239]~P112(x92392)+~P16(x92392,f330(f171(x92392),f330(f330(f157(x92391,x92392),x92394),x92395)))+E(f330(f139(x92391,f330(f330(f8(x92392,a925,x92391),f330(f240(x92392),x92393)),x92394)),x92395),f180(x92391,f330(f330(f8(x92392,a925,x92391),f330(f240(x92392),x92393)),x92394),x92395)) % 242.40/242.48 [9263]~P74(x92631)+E(f330(f330(f82(x92631),f330(f330(f6(a930,x92631),x92632),f306(a930,x92633,x92634))),f330(f330(f6(a930,x92631),x92632),f306(a930,f330(f330(f82(a930),x92634),f80(a930)),f330(f330(f82(a930),x92634),x92635)))),f330(f330(f6(a930,x92631),x92632),f306(a930,x92633,f330(f330(f82(a930),x92634),x92635))))+~P1(f330(f330(f239(a930),x92633),f330(f330(f82(a930),x92634),f80(a930)))) % 242.40/242.48 [9264]~P1(f330(f330(f332(x92641),x92644),x92645))+~P1(f330(f330(f239(f937(x92641,a925)),f330(f175(x92641),x92642)),x92645))+P1(f330(f330(f239(f937(x92641,a925)),f330(f175(x92641),f330(f330(f162(x92641,x92642),x92643),x92644))),x92645)) % 242.40/242.48 [9495]~P8(x94952)+~P1(f330(f63(x94951),x94955))+E(f330(f330(f66(x94951,x94952,f330(f330(f8(x94952,f937(x94952,x94952),x94951),f113(x94952)),x94953)),x94954),x94955),f330(f330(f113(x94952),x94954),f330(f330(f41(x94951,x94952),x94955),x94953))) % 242.40/242.48 [9496]~P8(x94962)+~P1(f330(f63(x94961),x94965))+E(f330(f330(f66(x94961,x94962,f330(f330(f8(x94962,f937(x94962,x94962),x94961),f104(x94962)),x94963)),x94964),x94965),f330(f330(f104(x94962),x94964),f330(f330(f42(x94961,x94962),x94965),x94963))) % 242.40/242.48 [9544]E(f330(x95441,x95442),f330(x95441,x95443))+P1(f330(f330(f240(a930),f330(x95441,x95442)),f330(x95441,x95443)))+~P1(f330(f330(f332(f936(x95444,x95444)),f330(f330(f256(x95444,x95444),x95442),x95443)),f156(x95444,f330(f330(f154(f937(x95444,a930)),x95441),x95445)))) % 242.40/242.48 [9577]~E(f330(x95774,x95772),f330(x95774,x95773))+~P1(f330(f330(f332(f936(x95771,x95771)),f330(f330(f256(x95771,x95771),x95772),x95773)),f156(x95771,x95775)))+P1(f330(f330(f332(f936(x95771,x95771)),f330(f330(f256(x95771,x95771),x95772),x95773)),f156(x95771,f330(f330(f154(f937(x95771,a930)),x95774),x95775)))) % 242.40/242.48 [9597]~P28(x95971,x95972,x95973,x95975)+P28(x95971,x95972,x95973,f330(f330(f312(x95971),x95974),x95975))+P1(f330(f330(f332(x95972),f330(x95973,x95974)),f330(f313(x95971,x95972,x95973),f330(f330(f23(f937(x95971,a925)),x95975),f330(f330(f312(x95971),x95974),f191(f937(x95971,a925))))))) % 242.40/242.48 [9600]P1(f330(x96002,x96005))+~P1(f330(f330(f332(x96001),x96005),f330(f175(x96001),x96003)))+E(f330(f330(f141(x96001),f330(f192(f931(x96001)),f180(x96001,x96002,f330(f330(f137(x96001),x96003),x96004)))),f330(f330(f137(x96001),x96003),x96004)),f330(f330(f137(x96001),f330(f330(f141(x96001),f330(f192(f931(x96001)),f180(x96001,x96002,x96003))),x96003)),x96004)) % 242.40/242.48 [9605]~P1(f330(f330(f332(f936(x96051,x96051)),f330(f330(f256(x96051,x96051),x96052),x96053)),f156(x96051,x96055)))+~P1(f330(f330(f239(a930),f330(x96054,x96052)),f330(x96054,x96053)))+P1(f330(f330(f332(f936(x96051,x96051)),f330(f330(f256(x96051,x96051),x96052),x96053)),f156(x96051,f330(f330(f154(f937(x96051,a930)),x96054),x96055)))) % 242.40/242.48 [9670]P1(f330(f330(f332(f936(x96704,x96704)),f330(f330(f256(x96704,x96704),x96702),x96703)),f156(x96704,x96705)))+P1(f330(f330(f240(a930),f330(x96701,x96702)),f330(x96701,x96703)))+~P1(f330(f330(f332(f936(x96704,x96704)),f330(f330(f256(x96704,x96704),x96702),x96703)),f156(x96704,f330(f330(f154(f937(x96704,a930)),x96701),x96705)))) % 242.40/242.48 [9815]~P1(f330(f330(f332(f936(f931(x98151),f931(x98151))),f330(f330(f256(f931(x98151),f931(x98151)),x98152),x98154)),f161(x98151,x98155)))+~P1(f330(f330(f240(a930),x98153),f330(f192(f931(x98151)),x98152)))+P1(f330(f330(f332(f936(x98151,x98151)),f330(f330(f256(x98151,x98151),f330(f330(f167(x98151),x98152),x98153)),f330(f330(f167(x98151),x98154),x98153))),x98155)) % 242.40/242.48 [10057]E(x100571,f2(a1))+~P1(f330(f51(x100573,x100571),f330(f330(f256(a1,a1),x100574),x100575)))+P1(f330(f51(f330(f330(f83(a1),x100572),x100573),x100571),f330(f330(f256(a1,a1),f330(f330(f82(a1),f330(f330(f83(a1),x100572),x100574)),f330(f330(f38(a1),f330(f330(f83(a1),x100572),x100575)),x100571))),f47(a1,f330(f330(f83(a1),x100572),x100575),x100571)))) % 242.40/242.48 [10058]~P1(f330(f330(f240(a930),f2(a930)),x100583))+~P1(f330(f50(x100582,x100583),f330(f330(f256(a930,a930),x100584),x100585)))+P1(f330(f50(f330(f330(f83(a930),x100581),x100582),x100583),f330(f330(f256(a930,a930),f330(f330(f82(a930),f330(f330(f83(a930),x100581),x100584)),f330(f330(f38(a930),f330(f330(f83(a930),x100581),x100585)),x100583))),f47(a930,f330(f330(f83(a930),x100581),x100585),x100583)))) % 242.40/242.48 [10356]~P74(x103562)+~P1(f330(f63(x103561),x103564))+E(f330(f330(f6(x103561,x103562),x103563),f330(f266(x103561),f330(f330(f18(x103561,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103561),a328),f330(f330(f7(x103561,f937(x103561,a925),a925),f332(x103561)),x103564))),f330(f330(f7(x103561,f937(x103561,a925),a925),f332(x103561)),x103565)))),f330(f330(f6(x103561,x103562),f330(f330(f7(x103561,x103562,x103562),f330(f330(f18(x103561,x103562,f937(x103562,x103562)),f330(f330(f8(a925,f937(x103562,f937(x103562,x103562)),x103561),f99(x103562)),f330(f330(f7(x103561,f937(x103561,a925),a925),f332(x103561)),x103565))),x103563)),f2(x103562))),x103564)) % 242.40/242.48 [8515]~E(f330(f330(f137(x85151),x85152),x85155),f330(f330(f137(x85151),x85153),x85154))+E(f330(f330(f137(x85151),f330(f330(f141(x85151),f330(f192(f931(x85151)),x85152)),x85153)),x85154),x85155)+P1(f330(f330(f239(a930),f330(f192(f931(x85151)),x85153)),f330(f192(f931(x85151)),x85152))) % 242.40/242.48 [8721]~E(f330(f330(f137(x87212),x87213),x87211),f330(f330(f137(x87212),x87214),x87215))+E(x87211,f330(f330(f137(x87212),f330(f330(f141(x87212),f330(f192(f931(x87212)),x87213)),x87214)),x87215))+~P1(f330(f330(f239(a930),f330(f192(f931(x87212)),x87213)),f330(f192(f931(x87212)),x87214))) % 242.40/242.48 [8814]~E(f330(f330(f82(a930),f330(f330(f83(a930),x88143),x88144)),x88141),f330(f330(f82(a930),f330(f330(f83(a930),x88142),x88144)),x88145))+~P1(f330(f330(f239(a930),x88143),x88142))+E(x88141,f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x88142),x88143)),x88144)),x88145)) % 242.40/242.48 [8815]~E(f330(f330(f82(a930),f330(f330(f83(a930),x88151),x88153)),x88154),f330(f330(f82(a930),f330(f330(f83(a930),x88152),x88153)),x88155))+~P1(f330(f330(f239(a930),x88152),x88151))+E(f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x88151),x88152)),x88153)),x88154),x88155) % 242.40/242.48 [8983]E(f330(f330(f82(a930),f330(f330(f83(a930),x89831),x89832)),x89833),f330(f330(f82(a930),f330(f330(f83(a930),x89834),x89832)),x89835))+~P1(f330(f330(f239(a930),x89834),x89831))+~E(x89835,f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x89831),x89834)),x89832)),x89833)) % 242.40/242.48 [8984]E(f330(f330(f82(a930),f330(f330(f83(a930),x89841),x89842)),x89843),f330(f330(f82(a930),f330(f330(f83(a930),x89844),x89842)),x89845))+~P1(f330(f330(f239(a930),x89844),x89841))+~E(f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x89841),x89844)),x89842)),x89843),x89845) % 242.40/242.48 [9869]~P70(x98692)+~P1(f330(f63(x98691),x98695))+E(f330(f330(f9(x98691,x98692),f330(f330(f18(x98691,x98692,x98692),f330(f330(f8(x98692,f937(x98692,x98692),x98691),f293(x98692)),x98693)),x98694)),x98695),f330(f330(f293(x98692),f330(f330(f9(x98691,x98692),x98693),x98695)),f330(f330(f9(x98691,x98692),x98694),x98695))) % 242.40/242.48 [9998]~E(f613(x99985,x99984,x99983,x99982,x99981),f614(x99985,x99984,x99983,x99982,x99981))+P1(f330(f330(f332(f936(x99981,x99981)),f330(f330(f256(x99981,x99981),x99982),x99983)),f310(x99981,x99984)))+~P1(f330(f330(f332(f936(x99981,x99981)),f330(f330(f256(x99981,x99981),x99982),x99983)),f310(x99981,f330(f330(f113(f937(f936(x99981,x99981),a925)),x99984),x99985)))) % 242.40/242.48 [9999]~E(f615(x99995,x99994,x99993,x99992,x99991),f616(x99995,x99994,x99993,x99992,x99991))+P1(f330(f330(f332(f936(x99991,x99991)),f330(f330(f256(x99991,x99991),x99992),x99993)),f310(x99991,x99994)))+~P1(f330(f330(f332(f936(x99991,x99991)),f330(f330(f256(x99991,x99991),x99992),x99993)),f310(x99991,f330(f330(f113(f937(f936(x99991,x99991),a925)),x99994),x99995)))) % 242.40/242.48 [10192]P1(f330(f330(f332(f936(x101921,x101921)),f330(f330(f256(x101921,x101921),x101922),f614(x101925,x101924,x101923,x101922,x101921))),f310(x101921,x101924)))+P1(f330(f330(f332(f936(x101921,x101921)),f330(f330(f256(x101921,x101921),x101922),x101923)),f310(x101921,x101924)))+~P1(f330(f330(f332(f936(x101921,x101921)),f330(f330(f256(x101921,x101921),x101922),x101923)),f310(x101921,f330(f330(f113(f937(f936(x101921,x101921),a925)),x101924),x101925)))) % 242.40/242.48 [10270]P1(f330(f330(f332(f936(x102701,x102701)),f330(f330(f256(x102701,x102701),f616(x102705,x102704,x102703,x102702,x102701)),x102703)),f310(x102701,x102704)))+P1(f330(f330(f332(f936(x102701,x102701)),f330(f330(f256(x102701,x102701),x102702),x102703)),f310(x102701,x102704)))+~P1(f330(f330(f332(f936(x102701,x102701)),f330(f330(f256(x102701,x102701),x102702),x102703)),f310(x102701,f330(f330(f113(f937(f936(x102701,x102701),a925)),x102704),x102705)))) % 242.40/242.48 [10304]P1(f330(f330(f332(f936(x103041,x103041)),f330(f330(f256(x103041,x103041),x103042),x103043)),f310(x103041,x103044)))+P1(f330(f330(f332(f936(x103041,x103041)),f330(f330(f256(x103041,x103041),f614(x103045,x103044,x103043,x103042,x103041)),f613(x103045,x103044,x103043,x103042,x103041))),x103045))+~P1(f330(f330(f332(f936(x103041,x103041)),f330(f330(f256(x103041,x103041),x103042),x103043)),f310(x103041,f330(f330(f113(f937(f936(x103041,x103041),a925)),x103044),x103045)))) % 242.40/242.48 [10305]P1(f330(f330(f332(f936(x103051,x103051)),f330(f330(f256(x103051,x103051),x103052),x103053)),f310(x103051,x103054)))+P1(f330(f330(f332(f936(x103051,x103051)),f330(f330(f256(x103051,x103051),f615(x103055,x103054,x103053,x103052,x103051)),f616(x103055,x103054,x103053,x103052,x103051))),x103055))+~P1(f330(f330(f332(f936(x103051,x103051)),f330(f330(f256(x103051,x103051),x103052),x103053)),f310(x103051,f330(f330(f113(f937(f936(x103051,x103051),a925)),x103054),x103055)))) % 242.40/242.48 [10451]~P1(f330(f330(f332(f936(f931(x104511),f931(x104511))),f330(f330(f256(f931(x104511),f931(x104511)),x104514),x104515)),f161(x104511,x104512)))+~P1(f330(f330(f332(f936(x104511,x104511)),x104513),f330(f175(f936(x104511,x104511)),f330(f330(f184(x104511,x104511),x104514),x104515))))+P1(f330(f330(f261(x104511,x104511,a925),f330(f330(f7(x104511,f937(f936(x104511,x104511),a925),f937(x104511,a925)),f330(f330(f8(f937(x104511,f937(f937(f936(x104511,x104511),a925),a925)),f937(f937(f936(x104511,x104511),a925),f937(x104511,a925)),x104511),f7(x104511,f937(f936(x104511,x104511),a925),a925)),f330(f330(f8(f937(x104511,f936(x104511,x104511)),f937(x104511,f937(f937(f936(x104511,x104511),a925),a925)),x104511),f330(f8(f936(x104511,x104511),f937(f937(f936(x104511,x104511),a925),a925),x104511),f332(f936(x104511,x104511)))),f256(x104511,x104511)))),x104512)),x104513)) % 242.40/242.48 [9898]~P1(f330(f330(f239(a930),x98983),x98982))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),f330(f330(f83(a930),x98983),x98984)),x98981)),f330(f330(f82(a930),f330(f330(f83(a930),x98982),x98984)),x98985)))+P1(f330(f330(f239(a930),x98981),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x98982),x98983)),x98984)),x98985))) % 242.40/242.48 [9899]~P1(f330(f330(f239(a930),x98993),x98992))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),x98993),x98994)),x98991)),f330(f330(f82(a930),f330(f330(f83(a930),x98992),x98994)),x98995)))+P1(f330(f330(f240(a930),x98991),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x98992),x98993)),x98994)),x98995))) % 242.40/242.48 [9916]~P1(f330(f330(f239(a930),x99161),x99164))+P1(f330(f330(f239(a930),f330(f330(f82(a930),f330(f330(f83(a930),x99161),x99162)),x99163)),f330(f330(f82(a930),f330(f330(f83(a930),x99164),x99162)),x99165)))+~P1(f330(f330(f239(a930),x99163),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x99164),x99161)),x99162)),x99165))) % 242.40/242.48 [9917]~P1(f330(f330(f239(a930),x99171),x99174))+P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),x99171),x99172)),x99173)),f330(f330(f82(a930),f330(f330(f83(a930),x99174),x99172)),x99175)))+~P1(f330(f330(f240(a930),x99173),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x99174),x99171)),x99172)),x99175))) % 242.40/242.48 [10032]~P1(f330(f330(f239(a930),x100322),x100321))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),f330(f330(f83(a930),x100321),x100323)),x100324)),f330(f330(f82(a930),f330(f330(f83(a930),x100322),x100323)),x100325)))+P1(f330(f330(f239(a930),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x100321),x100322)),x100323)),x100324)),x100325)) % 242.40/242.48 [10033]~P1(f330(f330(f239(a930),x100332),x100331))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),x100331),x100333)),x100334)),f330(f330(f82(a930),f330(f330(f83(a930),x100332),x100333)),x100335)))+P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x100331),x100332)),x100333)),x100334)),x100335)) % 242.40/242.48 [10076]~P1(f330(f330(f239(a930),x100764),x100761))+P1(f330(f330(f239(a930),f330(f330(f82(a930),f330(f330(f83(a930),x100761),x100762)),x100763)),f330(f330(f82(a930),f330(f330(f83(a930),x100764),x100762)),x100765)))+~P1(f330(f330(f239(a930),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x100761),x100764)),x100762)),x100763)),x100765)) % 242.40/242.48 [10077]~P1(f330(f330(f239(a930),x100774),x100771))+P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),x100771),x100772)),x100773)),f330(f330(f82(a930),f330(f330(f83(a930),x100774),x100772)),x100775)))+~P1(f330(f330(f240(a930),f330(f330(f82(a930),f330(f330(f83(a930),f330(f330(f23(a930),x100771),x100774)),x100772)),x100773)),x100775)) % 242.40/242.48 [10292]~P14(x102921,x102922,x102925,x102923)+~P1(f330(f330(f332(f936(x102921,x102921)),x102924),x102925))+P1(f330(f330(f261(x102921,x102921,a925),f330(f330(f7(x102921,f937(x102921,x102922),f937(x102921,a925)),f330(f330(f8(f937(x102922,a925),f937(f937(x102921,x102922),f937(x102921,a925)),x102921),f8(x102922,a925,x102921)),f330(f330(f8(x102922,f937(x102922,a925),x102921),a327),x102923))),x102923)),x102924)) % 242.40/242.48 [7490]~P46(x74904,x74902,x74905,x74906)+P46(f29(x74901,x74903,x74904),x74902,x74905,x74906)+P1(f330(x74901,x74902)) % 242.40/242.48 [7565]~P46(x75652,x75654,x75655,x75656)+P46(f29(x75651,x75652,x75653),x75654,x75655,x75656)+~P1(f330(x75651,x75654)) % 242.40/242.48 [7649]P46(x76493,x76492,x76494,x76495)+~P46(f29(x76491,x76496,x76493),x76492,x76494,x76495)+P1(f330(x76491,x76492)) % 242.40/242.48 [7679]P46(x76791,x76792,x76793,x76794)+~P46(f29(x76795,x76791,x76796),x76792,x76793,x76794)+~P1(f330(x76795,x76792)) % 242.40/242.48 [8047]~P46(x80471,x80473,x80474,x80476)+~P46(x80472,x80476,x80474,x80475)+P46(f32(x80471,x80472),x80473,x80474,x80475) % 242.40/242.48 [8050]P46(x80501,x80502,x80503,x80504)+P46(x80505,x80502,x80503,x80504)+~P46(f29(x80506,x80501,x80505),x80502,x80503,x80504) % 242.40/242.48 [8681]~P22(x86816,x86811,x86812,x86814)+E(f330(f74(x86811,x86811,x86811,f330(x86812,x86813)),f330(x86814,x86815)),f330(f74(x86811,x86811,x86811,f330(x86814,x86815)),f330(x86812,x86813)))+~P1(f330(f63(x86816),x86815)) % 242.40/242.48 [9127]~P28(x91271,x91273,x91275,x91276)+~P28(x91273,x91272,x91274,f330(f313(x91271,x91273,x91275),x91276))+P28(x91271,x91272,f330(f74(x91273,x91272,x91271,x91274),x91275),x91276) % 242.40/242.48 [9703]~P1(f330(f330(x97034,x97032),x97036))+~P1(f330(f330(x97033,x97035),x97032))+P1(f330(f330(f332(x97031),x97032),f300(x97031,x97033,x97034,x97035,x97036))) % 242.40/242.48 [9704]~P1(f330(f330(x97043,x97042),x97046))+~P1(f330(f330(x97044,x97045),x97042))+P1(f330(f330(f332(x97041),x97042),f303(x97041,x97043,x97044,x97045,x97046))) % 242.40/242.48 [9816]E(x98161,x98162)+E(x98163,x98164)+~P1(f330(f330(f332(f936(f931(x98165),f931(x98165))),f330(f330(f256(f931(x98165),f931(x98165)),f330(f330(f154(x98165),x98163),x98161)),f330(f330(f154(x98165),x98164),x98162))),f160(x98165,x98166))) % 242.40/242.48 [9825]~E(x98252,x98254)+P1(f330(f330(f332(f936(f931(x98251),f931(x98251))),f330(f330(f256(f931(x98251),f931(x98251)),f330(f330(f154(x98251),x98252),x98253)),f330(f330(f154(x98251),x98254),x98255))),f148(x98251,x98256)))+~P1(f330(f330(f332(f936(f931(x98251),f931(x98251))),f330(f330(f256(f931(x98251),f931(x98251)),x98253),x98255)),f148(x98251,x98256))) % 242.40/242.48 [9826]~E(x98262,x98264)+P1(f330(f330(f332(f936(f931(x98261),f931(x98261))),f330(f330(f256(f931(x98261),f931(x98261)),f330(f330(f154(x98261),x98262),x98263)),f330(f330(f154(x98261),x98264),x98265))),f150(x98261,x98266)))+~P1(f330(f330(f332(f936(f931(x98261),f931(x98261))),f330(f330(f256(f931(x98261),f931(x98261)),x98263),x98265)),f150(x98261,x98266))) % 242.40/242.48 [9827]~E(x98272,x98274)+P1(f330(f330(f332(f936(f931(x98271),f931(x98271))),f330(f330(f256(f931(x98271),f931(x98271)),f330(f330(f154(x98271),x98272),x98273)),f330(f330(f154(x98271),x98274),x98275))),f160(x98271,x98276)))+~P1(f330(f330(f332(f936(f931(x98271),f931(x98271))),f330(f330(f256(f931(x98271),f931(x98271)),x98273),x98275)),f160(x98271,x98276))) % 242.40/242.48 [9828]~E(x98282,x98284)+P1(f330(f330(f332(f936(f931(x98281),f931(x98281))),f330(f330(f256(f931(x98281),f931(x98281)),f330(f330(f137(x98281),x98282),x98283)),f330(f330(f137(x98281),x98284),x98285))),f160(x98281,x98286)))+~P1(f330(f330(f332(f936(f931(x98281),f931(x98281))),f330(f330(f256(f931(x98281),f931(x98281)),x98283),x98285)),f160(x98281,x98286))) % 242.40/242.48 [9829]~E(x98293,x98295)+P1(f330(f330(f332(f936(f931(x98291),f931(x98291))),f330(f330(f256(f931(x98291),f931(x98291)),f330(f330(f137(x98291),x98292),x98293)),f330(f330(f137(x98291),x98294),x98295))),f160(x98291,x98296)))+~P1(f330(f330(f332(f936(f931(x98291),f931(x98291))),f330(f330(f256(f931(x98291),f931(x98291)),x98292),x98294)),f160(x98291,x98296))) % 242.40/242.48 [9886]E(x98861,x98862)+P1(f330(f330(f332(f936(f931(x98863),f931(x98863))),f330(f330(f256(f931(x98863),f931(x98863)),x98861),x98862)),f160(x98863,x98864)))+~P1(f330(f330(f332(f936(f931(x98863),f931(x98863))),f330(f330(f256(f931(x98863),f931(x98863)),f330(f330(f154(x98863),x98865),x98861)),f330(f330(f154(x98863),x98866),x98862))),f160(x98863,x98864))) % 242.40/242.48 [10036]~E(x100363,x100365)+P1(f330(f330(f332(f936(f931(x100361),f931(x100361))),f330(f330(f256(f931(x100361),f931(x100361)),f330(f330(f137(x100361),x100362),f330(f330(f154(x100361),x100363),f116(x100361)))),f330(f330(f137(x100361),x100364),f330(f330(f154(x100361),x100365),f116(x100361))))),f160(x100361,x100366)))+~P1(f330(f330(f332(f936(f931(x100361),f931(x100361))),f330(f330(f256(f931(x100361),f931(x100361)),x100362),x100364)),f160(x100361,x100366))) % 242.40/242.48 [10080]E(x100801,x100802)+E(x100803,x100804)+~P1(f330(f330(f332(f936(f931(x100805),f931(x100805))),f330(f330(f256(f931(x100805),f931(x100805)),f330(f330(f137(x100805),x100803),f330(f330(f154(x100805),x100801),f116(x100805)))),f330(f330(f137(x100805),x100804),f330(f330(f154(x100805),x100802),f116(x100805))))),f160(x100805,x100806))) % 242.40/242.48 [10106]E(x101061,x101062)+~P1(f330(f330(f332(f936(f931(x101063),f931(x101063))),f330(f330(f256(f931(x101063),f931(x101063)),f330(f330(f137(x101063),x101061),f330(f330(f154(x101063),x101065),f116(x101063)))),f330(f330(f137(x101063),x101062),f330(f330(f154(x101063),x101066),f116(x101063))))),f160(x101063,x101064)))+P1(f330(f330(f332(f936(f931(x101063),f931(x101063))),f330(f330(f256(f931(x101063),f931(x101063)),x101061),x101062)),f160(x101063,x101064))) % 242.40/242.48 [10144]~P1(f330(f330(f332(f936(f937(x101441,a925),f937(x101441,a925))),f330(f330(f256(f937(x101441,a925),f937(x101441,a925)),x101442),x101444)),f322(x101441,x101446)))+~P1(f330(f330(f332(f936(f937(x101441,a925),f937(x101441,a925))),f330(f330(f256(f937(x101441,a925),f937(x101441,a925)),x101443),x101445)),f322(x101441,x101446)))+P1(f330(f330(f332(f936(f937(x101441,a925),f937(x101441,a925))),f330(f330(f256(f937(x101441,a925),f937(x101441,a925)),f330(f330(f113(f937(x101441,a925)),x101442),x101443)),f330(f330(f113(f937(x101441,a925)),x101444),x101445))),f322(x101441,x101446))) % 242.40/242.48 [5895]~E(f330(f330(f137(x58951),x58956),x58953),x58955)+E(f330(f330(f137(x58951),x58952),x58953),f330(f330(f154(x58951),x58954),x58955))+~E(x58952,f330(f330(f154(x58951),x58954),x58956)) % 242.40/242.48 [5896]~E(f330(f330(f137(x58961),x58966),x58963),x58965)+E(f330(f330(f137(x58961),x58962),x58963),f330(f330(f137(x58961),x58964),x58965))+~E(x58962,f330(f330(f137(x58961),x58964),x58966)) % 242.40/242.48 [5898]E(f330(f330(f137(x58981),x58982),x58983),f330(f330(f154(x58981),x58984),x58985))+~E(f330(f330(f154(x58981),x58984),x58986),x58982)+~E(x58985,f330(f330(f137(x58981),x58986),x58983)) % 242.40/242.48 [5900]~E(f330(f330(f137(x59001),x59002),x59006),x59004)+E(f330(f330(f137(x59001),x59002),x59003),f330(f330(f137(x59001),x59004),x59005))+~E(x59003,f330(f330(f137(x59001),x59006),x59005)) % 242.40/242.48 [7040]E(f330(x70401,x70402),f330(x70403,x70402))+~E(f330(f330(f157(x70404,x70405),x70401),x70406),f330(f330(f157(x70404,x70405),x70403),x70406))+~P1(f330(f330(f332(x70404),x70402),f330(f175(x70404),x70406))) % 242.40/242.48 [7421]~P22(x74214,x74215,x74216,x74211)+E(f330(f330(x74211,x74212),x74213),f330(f330(f66(x74214,x74215,x74216),x74213),x74212))+~P1(f330(f63(x74214),x74212)) % 242.40/242.48 [7495]~E(x74952,f330(x74954,x74956))+~P1(f330(f330(f332(x74953),x74956),x74955))+P1(f330(f330(f332(x74951),x74952),f330(f313(x74953,x74951,x74954),x74955))) % 242.40/242.48 [7496]~E(f330(x74964,x74962),x74966)+~P1(f330(f330(f332(x74963),x74966),x74965))+P1(f330(f330(f332(x74961),x74962),f330(f314(x74961,x74963,x74964),x74965))) % 242.40/242.48 [7950]~P37(x79501,x79502,x79504,x79506)+P37(x79501,x79502,f330(f330(f154(x79501),x79503),x79504),f330(f330(f154(x79501),x79505),x79506))+~P1(f330(f330(x79502,x79503),x79505)) % 242.40/242.48 [8993]~P63(x89934,x89935,x89931,x89932,x89936)+E(f330(x89931,f330(x89932,x89933)),x89933)+~P1(f330(f330(f332(x89935),x89933),x89936)) % 242.40/242.48 [9504]~P29(x95042,x95041,x95045,x95044,x95043)+E(f330(f94(x95041,x95042,x95043,f94(x95042,x95041,x95044,x95045)),x95046),f330(x95045,x95046))+~P1(f330(f330(f332(x95042),x95046),x95044)) % 242.40/242.48 [9515]~P28(x95151,x95152,x95153,x95156)+P28(x95151,x95152,f76(x95151,x95152,x95153,x95154,x95155),x95156)+P1(f330(f330(f332(x95152),x95155),f330(f313(x95151,x95152,x95153),x95156))) % 242.40/242.48 [9818]E(x98181,x98182)+E(f330(f192(f931(x98183)),x98184),f330(f192(f931(x98183)),x98185))+~P1(f330(f330(f332(f936(f931(x98183),f931(x98183))),f330(f330(f256(f931(x98183),f931(x98183)),f330(f330(f154(x98183),x98181),x98184)),f330(f330(f154(x98183),x98182),x98185))),f148(x98183,x98186))) % 242.40/242.48 [9881]~P19(x98811,x98812,x98813)+E(f330(f330(f66(x98811,x98812,x98813),x98814),x98815),x98816)+~P1(f330(f68(x98811,x98812,x98813,x98814,x98815),x98816)) % 242.40/242.48 [9889]E(f330(f192(f931(x98891)),x98892),f330(f192(f931(x98891)),x98893))+P1(f330(f330(f332(f936(f931(x98891),f931(x98891))),f330(f330(f256(f931(x98891),f931(x98891)),x98892),x98893)),f148(x98891,x98894)))+~P1(f330(f330(f332(f936(f931(x98891),f931(x98891))),f330(f330(f256(f931(x98891),f931(x98891)),f330(f330(f154(x98891),x98895),x98892)),f330(f330(f154(x98891),x98896),x98893))),f148(x98891,x98894))) % 242.40/242.48 [9910]~P1(f330(f330(f332(f936(x99101,x99101)),f330(f330(f256(x99101,x99101),x99102),x99104)),f310(x99101,x99106)))+P1(f330(f330(f332(f936(f931(x99101),f931(x99101))),f330(f330(f256(f931(x99101),f931(x99101)),f330(f330(f154(x99101),x99102),x99103)),f330(f330(f154(x99101),x99104),x99105))),f310(f931(x99101),f160(x99101,x99106))))+~P1(f330(f330(f332(f936(f931(x99101),f931(x99101))),f330(f330(f256(f931(x99101),f931(x99101)),x99103),x99105)),f310(f931(x99101),f160(x99101,x99106)))) % 242.40/242.48 [10086]~P1(f330(x100862,x100866))+~E(f330(f139(x100861,x100862),x100863),f330(f330(f154(x100861),x100864),x100865))+~P1(f330(f330(f332(x100861),x100866),f330(f175(x100861),f766(x100865,x100864,x100863,x100862,x100861)))) % 242.40/242.48 [10087]~P1(f330(x100874,x100876))+~E(f330(f330(f154(x100871),x100872),x100873),f330(f139(x100871,x100874),x100875))+~P1(f330(f330(f332(x100871),x100876),f330(f175(x100871),f764(x100875,x100874,x100873,x100872,x100871)))) % 242.40/242.48 [10392]~P74(x103922)+E(f330(f330(f6(x103921,x103922),f330(f330(f8(f937(x103923,a925),x103922,x103921),f330(f6(x103923,x103922),x103924)),f330(f330(f8(f937(x103923,a925),f937(x103923,a925),x103921),f266(x103923)),f330(f330(f8(f937(x103923,a925),f937(x103923,a925),x103921),f330(f18(x103923,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103923),a328),f330(f330(f7(x103923,f937(x103923,a925),a925),f332(x103923)),x103925)))),f330(f7(x103923,x103921,a925),f330(f330(f8(x103921,f937(x103921,a925),x103923),a327),x103926)))))),f330(f313(x103923,x103921,x103926),x103925)),f330(f330(f6(x103923,x103922),x103924),x103925))+~P1(f330(f63(x103923),x103925)) % 242.40/242.48 [7096]~P112(x70963)+P1(f330(x70962,x70965))+E(f330(f139(x70961,x70962),f330(f330(f151(x70961,x70963,x70964),x70965),x70966)),f330(f139(x70961,x70962),x70966)) % 242.40/242.48 [7098]P1(f330(x70981,x70982))+~E(f169(x70983,x70981,x70984),f330(f330(f256(f931(x70983),f931(x70983)),x70985),x70986))+~P1(f330(f330(f332(x70983),x70982),f330(f175(x70983),x70985))) % 242.40/242.48 [7141]~P1(f330(x71412,x71416))+~E(f169(x71411,x71412,x71413),f330(f330(f256(f931(x71411),f931(x71411)),x71414),x71415))+~P1(f330(f330(f332(x71411),x71416),f330(f175(x71411),x71415))) % 242.40/242.48 [7815]~P17(x78151,x78152,x78153)+~P1(f330(f63(x78151),x78156))+E(f330(f330(f66(x78151,x78152,x78153),x78154),f330(f330(f312(x78151),x78155),x78156)),f330(f330(f66(x78151,x78152,x78153),f330(f330(x78153,x78155),x78154)),x78156)) % 242.40/242.48 [7866]~P112(x78662)+~P1(f330(f330(f239(x78662),f330(x78663,x78664)),f330(x78663,x78665)))+E(f330(f330(f151(x78661,x78662,x78663),x78664),f330(f330(f154(x78661),x78665),x78666)),f330(f330(f154(x78661),x78664),f330(f330(f154(x78661),x78665),x78666))) % 242.40/242.48 [7979]E(x79791,x79792)+~E(f330(f330(f258(x79793,x79794),x79791),f330(f16(f937(x79794,a925),x79793),x79795)),f330(f330(f258(x79793,x79794),x79792),f330(f16(f937(x79794,a925),x79793),x79795)))+~P1(f330(f330(f332(x79794),x79796),x79795)) % 242.40/242.48 [8052]~P17(x80521,x80522,x80523)+~P1(f330(f63(x80521),x80526))+E(f330(f330(f66(x80521,x80522,x80523),x80524),f330(f330(f312(x80521),x80525),x80526)),f330(f330(x80523,x80525),f330(f330(f66(x80521,x80522,x80523),x80524),x80526))) % 242.40/242.48 [8168]~P19(x81681,x81682,x81683)+~P1(f330(f63(x81681),x81686))+E(f330(f330(f66(x81681,x81682,x81683),f330(f330(x81683,x81684),x81685)),x81686),f330(f330(x81683,x81684),f330(f330(f66(x81681,x81682,x81683),x81685),x81686))) % 242.40/242.48 [8238]~P23(x82382,x82385,x82386,x82381)+~P1(f330(f63(x82382),x82384))+E(f330(x82381,f330(f330(f312(x82382),x82383),x82384)),f330(f74(x82385,x82385,x82385,f330(x82381,x82384)),f330(x82386,x82383))) % 242.40/242.48 [8276]~P112(x82762)+P1(f330(f330(f239(x82762),f330(x82763,x82764)),f330(x82763,x82765)))+E(f330(f330(f151(x82761,x82762,x82763),x82764),f330(f330(f154(x82761),x82765),x82766)),f330(f330(f154(x82761),x82765),f330(f330(f151(x82761,x82762,x82763),x82764),x82766))) % 242.40/242.48 [8420]~E(f330(f192(f931(x84201)),x84205),f330(f192(f931(x84202)),x84206))+~E(f330(f192(f931(x84201)),x84203),f330(f192(f931(x84202)),x84204))+E(f330(f330(f137(f936(x84201,x84202)),f330(f330(f184(x84201,x84202),x84203),x84204)),f330(f330(f184(x84201,x84202),x84205),x84206)),f330(f330(f184(x84201,x84202),f330(f330(f137(x84201),x84203),x84205)),f330(f330(f137(x84202),x84204),x84206))) % 242.40/242.48 [8533]~E(x85332,f330(f313(x85333,x85331,x85334),x85336))+P1(f330(f330(f239(f937(x85331,a925)),x85332),f330(f313(x85333,x85331,x85334),x85335)))+~P1(f330(f330(f239(f937(x85333,a925)),x85336),x85335)) % 242.40/242.48 [8638]~P112(x86385)+E(f330(x86381,x86382),f330(x86381,x86383))+E(f330(f330(f151(x86384,x86385,x86381),x86382),f330(f330(f151(x86384,x86385,x86381),x86383),x86386)),f330(f330(f151(x86384,x86385,x86381),x86383),f330(f330(f151(x86384,x86385,x86381),x86382),x86386))) % 242.40/242.48 [8823]~P1(f330(f330(f332(x88232),x88234),f330(x88236,x88233)))+~P1(f330(f330(f332(x88231),x88233),x88235))+P1(f330(f330(f332(f936(x88231,x88232)),f330(f330(f256(x88231,x88232),x88233),x88234)),f330(f330(f258(x88231,x88232),x88235),x88236))) % 242.40/242.48 [9306]~P74(x93062)+~P28(x93064,x93061,x93065,x93066)+E(f330(f330(f6(x93061,x93062),x93063),f330(f313(x93064,x93061,x93065),x93066)),f330(f330(f6(x93064,x93062),f330(f74(x93061,x93062,x93064,x93063),x93065)),x93066)) % 242.40/242.48 [9307]~P80(x93072)+~P28(x93074,x93071,x93075,x93076)+E(f330(f330(f9(x93071,x93072),x93073),f330(f313(x93074,x93071,x93075),x93076)),f330(f330(f9(x93074,x93072),f330(f74(x93071,x93072,x93074,x93073),x93075)),x93076)) % 242.40/242.48 [9354]~P39(x93542,x93545,x93541,x93543,x93546)+P1(f330(f330(x93541,f330(f330(f167(x93542),x93543),x93544)),f330(f330(f167(x93545),x93546),x93544)))+~P1(f330(f330(f240(a930),x93544),f330(f192(f931(x93545)),x93546))) % 242.40/242.48 [9355]~P39(x93552,x93555,x93551,x93553,x93556)+P1(f330(f330(x93551,f330(f330(f167(x93552),x93553),x93554)),f330(f330(f167(x93555),x93556),x93554)))+~P1(f330(f330(f240(a930),x93554),f330(f192(f931(x93552)),x93553))) % 242.40/242.48 [9366]~E(f330(f313(x93661,x93662,x93663),x93664),x93666)+E(f330(f313(x93661,x93662,x93663),f330(f313(x93662,x93661,f94(x93661,x93662,x93664,x93663)),x93665)),x93665)+~P1(f330(f330(f239(f937(x93662,a925)),x93665),x93666)) % 242.40/242.48 [9572]~P22(x95723,x95721,x95726,x95722)+~P1(f330(f63(x95723),x95724))+E(f330(f74(x95721,x95721,x95721,f330(x95722,f330(f330(f23(f937(x95723,a925)),x95724),f330(f330(f312(x95723),x95725),f191(f937(x95723,a925)))))),f330(x95726,x95725)),f330(x95722,f330(f330(f312(x95723),x95725),x95724))) % 242.40/242.48 [10173]~E(f330(f313(x101732,x101734,x101736),f246(f937(x101732,a925))),f246(f937(x101734,a925)))+~E(f330(f313(x101731,x101733,x101735),f246(f937(x101731,a925))),f246(f937(x101733,a925)))+E(f330(f313(f936(x101731,x101732),f936(x101733,x101734),f262(x101731,x101733,x101732,x101734,x101735,x101736)),f246(f937(f936(x101731,x101732),a925))),f246(f937(f936(x101733,x101734),a925))) % 242.40/242.48 [10220]~P28(x102203,x102204,x102205,f330(x102206,f645(x102206,x102205,x102204,x102203,x102202,x102201)))+P28(x102203,x102204,x102205,f330(f330(f42(x102202,f937(x102203,a925)),x102201),x102206))+E(x102201,f191(f937(x102202,a925))) % 242.40/242.48 [10277]P28(x102776,x102775,x102774,f330(f330(f42(x102772,f937(x102776,a925)),x102771),x102773))+E(x102771,f191(f937(x102772,a925)))+P1(f330(f330(f332(x102772),f645(x102773,x102774,x102775,x102776,x102772,x102771)),x102771)) % 242.40/242.48 [10282]P1(f330(f330(f332(x102821),f583(x102822,x102823,x102824,x102825,x102826,x102821)),x102826))+P1(f330(f330(f239(f937(f936(x102821,x102824),a925)),f330(f330(f258(x102821,x102824),x102826),x102823)),f330(f330(f258(x102821,x102824),x102825),x102822)))+~P1(f330(f330(f239(f937(x102821,a925)),x102826),x102825)) % 242.40/242.48 [10318]P27(x103186,x103185,f330(f330(f312(f929(x103186)),f330(f330(f330(f93(x103186),x103181),x103183),x103182)),f191(f937(f929(x103186),a925))))+~P27(x103186,x103185,f330(f330(f312(f929(x103186)),f330(f330(f330(f93(x103186),x103184),x103183),x103182)),f191(f937(f929(x103186),a925))))+P1(f330(f330(x103181,f365(x103181,x103182,x103183,x103184,x103185,x103186)),f372(x103181,x103182,x103183,x103184,x103185,x103186))) % 242.40/242.48 [10319]P27(x103196,x103195,f330(f330(f312(f929(x103196)),f330(f330(f330(f93(x103196),x103194),x103193),x103192)),f191(f937(f929(x103196),a925))))+~P27(x103196,x103195,f330(f330(f312(f929(x103196)),f330(f330(f330(f93(x103196),x103194),x103193),x103191)),f191(f937(f929(x103196),a925))))+P1(f330(f330(x103191,f383(x103192,x103191,x103193,x103194,x103195,x103196)),f398(x103192,x103191,x103193,x103194,x103195,x103196))) % 242.40/242.48 [10361]~P27(x103611,x103612,f330(f330(f312(f929(x103611)),f330(f330(f330(f93(x103611),x103613),x103614),x103616)),f191(f937(f929(x103611),a925))))+P27(x103611,x103612,f330(f330(f312(f929(x103611)),f330(f330(f330(f93(x103611),x103613),x103614),x103615)),f191(f937(f929(x103611),a925))))+~P1(f330(f330(x103615,f383(x103615,x103616,x103614,x103613,x103612,x103611)),f398(x103615,x103616,x103614,x103613,x103612,x103611))) % 242.40/242.48 [10362]~P27(x103621,x103622,f330(f330(f312(f929(x103621)),f330(f330(f330(f93(x103621),x103626),x103624),x103625)),f191(f937(f929(x103621),a925))))+P27(x103621,x103622,f330(f330(f312(f929(x103621)),f330(f330(f330(f93(x103621),x103623),x103624),x103625)),f191(f937(f929(x103621),a925))))+~P1(f330(f330(x103626,f365(x103623,x103625,x103624,x103626,x103622,x103621)),f372(x103623,x103625,x103624,x103626,x103622,x103621))) % 242.40/242.48 [10406]~P1(f330(f330(f239(f937(x104062,a925)),f330(x104064,f583(x104066,x104064,x104062,x104065,x104063,x104061))),f330(x104066,f583(x104066,x104064,x104062,x104065,x104063,x104061))))+~P1(f330(f330(f239(f937(x104061,a925)),x104063),x104065))+P1(f330(f330(f239(f937(f936(x104061,x104062),a925)),f330(f330(f258(x104061,x104062),x104063),x104064)),f330(f330(f258(x104061,x104062),x104065),x104066))) % 242.40/242.48 [8001]~P1(f330(x80011,x80015))+~P1(f330(x80016,x80014))+P1(f330(x80011,f330(f260(x80012,x80013),f330(f330(f256(x80012,x80013),x80014),x80015)))) % 242.40/242.48 [8002]~P1(f330(x80021,x80024))+~P1(f330(x80026,x80025))+P1(f330(x80021,f330(f255(x80022,x80023),f330(f330(f256(x80022,x80023),x80024),x80025)))) % 242.40/242.48 [8057]~P1(f330(f330(x80574,x80576),x80575))+~P1(f330(f330(f332(x80571),x80576),x80573))+P1(f330(f330(f330(f41(x80571,f937(x80572,a925)),x80573),x80574),x80575)) % 242.40/242.48 [8372]~P1(f330(f330(f332(x83721),x83722),f330(x83725,x83726)))+~P1(f330(f330(f332(x83723),x83726),x83724))+P1(f330(f330(f332(x83721),x83722),f330(f330(f41(x83723,f937(x83721,a925)),x83724),x83725))) % 242.40/242.48 [8413]P1(f330(f330(x84131,x84132),x84133))+~P1(f330(f330(x84134,x84132),x84133))+~P1(f330(f330(f239(f937(x84135,f937(x84136,a925))),x84134),x84131)) % 242.40/242.48 [8559]P1(f330(f330(x85591,x85592),x85593))+~P1(f330(f330(f332(x85594),x85592),x85595))+~P1(f330(f330(f330(f42(x85594,f937(x85596,a925)),x85595),x85591),x85593)) % 242.40/242.48 [8697]P1(f330(f330(f332(x86971),x86972),f330(x86973,x86974)))+~P1(f330(f330(f332(x86975),x86974),x86976))+~P1(f330(f330(f332(x86971),x86972),f330(f330(f42(x86975,f937(x86971,a925)),x86976),x86973))) % 242.40/242.48 [8972]~P14(x89724,x89725,x89726,x89721)+E(f330(x89721,x89722),f330(x89721,x89723))+~P1(f330(f330(f332(f936(x89724,x89724)),f330(f330(f256(x89724,x89724),x89722),x89723)),x89726)) % 242.40/242.48 [9007]P1(f330(f330(f239(f937(x90071,a925)),x90072),f330(x90073,x90074)))+~P1(f330(f330(f332(x90075),x90074),x90076))+~P1(f330(f330(f239(f937(x90071,a925)),x90072),f330(f330(f42(x90075,f937(x90071,a925)),x90076),x90073))) % 242.40/242.48 [9040]~P61(x90403,x90404,f330(f290(x90404,x90403),x90405))+E(x90401,f191(f937(x90402,a925)))+E(f330(f330(f42(x90402,f937(x90403,a925)),x90401),f330(f330(f8(f937(x90404,a925),f937(x90403,a925),x90402),f289(x90404,x90403,x90405)),x90406)),f330(f289(x90404,x90403,x90405),f330(f330(f42(x90402,f937(x90404,a925)),x90401),x90406))) % 242.40/242.48 [9118]P1(f330(f330(f332(x91181),x91182),f330(f289(x91183,x91181,x91184),x91185)))+~P1(f330(f330(f332(x91183),x91186),x91185))+~P1(f330(f330(f332(f936(x91183,x91181)),f330(f330(f256(x91183,x91181),x91186),x91182)),x91184)) % 242.40/242.48 [9438]P1(f330(f330(f239(f937(x94381,a925)),f330(f289(x94382,x94381,x94383),x94384)),f330(f289(x94382,x94381,x94385),x94386)))+~P1(f330(f330(f239(f937(x94382,a925)),x94384),x94386))+~P1(f330(f330(f239(f937(f936(x94382,x94381),a925)),x94383),x94385)) % 242.40/242.48 [9621]~P1(f330(f330(f332(x96212),x96216),x96214))+~P1(f330(f330(f239(f937(x96211,a925)),x96213),x96215))+P1(f330(f330(f239(f937(f936(x96211,x96212),a925)),f330(f330(f258(x96211,x96212),x96213),f330(f16(f937(x96212,a925),x96211),x96214))),f330(f330(f258(x96211,x96212),x96215),f330(f16(f937(x96212,a925),x96211),x96214)))) % 242.40/242.48 [9633]~P39(x96331,x96332,x96333,x96335,x96336)+P1(f330(f330(f261(x96331,x96332,a925),x96333),x96334))+~P1(f330(f330(f332(f936(x96331,x96332)),x96334),f330(f175(f936(x96331,x96332)),f330(f330(f184(x96331,x96332),x96335),x96336)))) % 242.40/242.48 [9772]~E(x97723,x97725)+P1(f330(f330(f332(f936(f931(x97721),f931(x97721))),f330(f330(f256(f931(x97721),f931(x97721)),f330(f330(f154(x97721),x97722),x97723)),f330(f330(f154(x97721),x97724),x97725))),f160(x97721,x97726)))+~P1(f330(f330(f332(f936(x97721,x97721)),f330(f330(f256(x97721,x97721),x97722),x97724)),x97726)) % 242.40/242.48 [9778]~E(f330(f192(f931(x97781)),x97783),f330(f192(f931(x97781)),x97785))+P1(f330(f330(f332(f936(f931(x97781),f931(x97781))),f330(f330(f256(f931(x97781),f931(x97781)),f330(f330(f154(x97781),x97782),x97783)),f330(f330(f154(x97781),x97784),x97785))),f148(x97781,x97786)))+~P1(f330(f330(f332(f936(x97781,x97781)),f330(f330(f256(x97781,x97781),x97782),x97784)),x97786)) % 242.40/242.48 [9810]P1(f330(f330(f332(f936(x98101,x98101)),f330(f330(f256(x98101,x98101),x98102),x98103)),f330(f330(f186(f936(x98101,x98101),a925),f330(a115,x98104)),x98105)))+~P1(f330(f330(f332(f936(x98101,x98101)),f330(f330(f256(x98101,x98101),x98106),x98103)),x98105))+~P1(f330(f330(f332(f936(x98101,x98101)),f330(f330(f256(x98101,x98101),x98102),x98106)),f330(f330(f186(f936(x98101,x98101),a925),x98104),x98105))) % 242.40/242.48 [9811]P1(f330(f330(f332(f936(x98111,x98111)),f330(f330(f256(x98111,x98111),x98112),x98113)),f330(f330(f186(f936(x98111,x98111),a925),f330(a115,x98114)),x98115)))+~P1(f330(f330(f332(f936(x98111,x98111)),f330(f330(f256(x98111,x98111),x98112),x98116)),x98115))+~P1(f330(f330(f332(f936(x98111,x98111)),f330(f330(f256(x98111,x98111),x98116),x98113)),f330(f330(f186(f936(x98111,x98111),a925),x98114),x98115))) % 242.40/242.48 [9814]~P1(f330(f330(f332(x98144),x98145),x98146))+P1(f330(f330(f239(f937(x98141,a925)),x98142),x98143))+~P1(f330(f330(f239(f937(f936(x98141,x98144),a925)),f330(f330(f258(x98141,x98144),x98142),f330(f16(f937(x98144,a925),x98141),x98146))),f330(f330(f258(x98141,x98144),x98143),f330(f16(f937(x98144,a925),x98141),x98146)))) % 242.40/242.48 [9859]E(x98591,x98592)+~P1(f330(f330(f332(f936(f931(x98593),f931(x98593))),f330(f330(f256(f931(x98593),f931(x98593)),f330(f330(f154(x98593),x98591),x98595)),f330(f330(f154(x98593),x98592),x98596))),f148(x98593,x98594)))+P1(f330(f330(f332(f936(x98593,x98593)),f330(f330(f256(x98593,x98593),x98591),x98592)),x98594)) % 242.40/242.48 [9860]E(x98601,x98602)+~P1(f330(f330(f332(f936(f931(x98603),f931(x98603))),f330(f330(f256(f931(x98603),f931(x98603)),f330(f330(f154(x98603),x98601),x98605)),f330(f330(f154(x98603),x98602),x98606))),f150(x98603,x98604)))+P1(f330(f330(f332(f936(x98603,x98603)),f330(f330(f256(x98603,x98603),x98601),x98602)),x98604)) % 242.40/242.48 [9861]E(x98611,x98612)+~P1(f330(f330(f332(f936(f931(x98613),f931(x98613))),f330(f330(f256(f931(x98613),f931(x98613)),f330(f330(f154(x98613),x98611),x98615)),f330(f330(f154(x98613),x98612),x98616))),f160(x98613,x98614)))+P1(f330(f330(f332(f936(x98613,x98613)),f330(f330(f256(x98613,x98613),x98611),x98612)),x98614)) % 242.40/242.48 [9897]P1(f330(f330(f332(f936(f931(x98971),f931(x98971))),f330(f330(f256(f931(x98971),f931(x98971)),f330(f330(f154(x98971),x98972),x98973)),f330(f330(f154(x98971),x98974),x98975))),f161(x98971,x98976)))+~P1(f330(f330(f332(f936(f931(x98971),f931(x98971))),f330(f330(f256(f931(x98971),f931(x98971)),x98973),x98975)),f161(x98971,x98976)))+~P1(f330(f330(f332(f936(x98971,x98971)),f330(f330(f256(x98971,x98971),x98972),x98974)),x98976)) % 242.40/242.48 [9914]P1(f330(x99141,x99142))+~P1(f330(x99141,f451(x99141,x99143,x99144,x99145,x99146)))+~P1(f330(f330(f332(x99146),x99142),f330(f330(f41(x99145,f937(x99146,a925)),x99144),x99143))) % 242.40/242.48 [9919]~P1(f330(f330(f332(f936(f931(x99191),f931(x99191))),f330(f330(f256(f931(x99191),f931(x99191)),f330(f330(f154(x99191),x99192),x99195)),f330(f330(f154(x99191),x99193),x99196))),f148(x99191,x99194)))+P1(f330(f330(f332(f936(f931(x99191),f931(x99191))),f330(f330(f256(f931(x99191),f931(x99191)),x99195),x99196)),f148(x99191,x99194)))+P1(f330(f330(f332(f936(x99191,x99191)),f330(f330(f256(x99191,x99191),x99192),x99193)),x99194)) % 242.40/242.48 [9920]~P1(f330(f330(f332(f936(f931(x99201),f931(x99201))),f330(f330(f256(f931(x99201),f931(x99201)),f330(f330(f154(x99201),x99202),x99205)),f330(f330(f154(x99201),x99203),x99206))),f150(x99201,x99204)))+P1(f330(f330(f332(f936(f931(x99201),f931(x99201))),f330(f330(f256(f931(x99201),f931(x99201)),x99205),x99206)),f150(x99201,x99204)))+P1(f330(f330(f332(f936(x99201,x99201)),f330(f330(f256(x99201,x99201),x99202),x99203)),x99204)) % 242.40/242.48 [9921]~P1(f330(f330(f332(f936(f931(x99211),f931(x99211))),f330(f330(f256(f931(x99211),f931(x99211)),f330(f330(f154(x99211),x99212),x99215)),f330(f330(f154(x99211),x99213),x99216))),f160(x99211,x99214)))+P1(f330(f330(f332(f936(f931(x99211),f931(x99211))),f330(f330(f256(f931(x99211),f931(x99211)),x99215),x99216)),f160(x99211,x99214)))+P1(f330(f330(f332(f936(x99211,x99211)),f330(f330(f256(x99211,x99211),x99212),x99213)),x99214)) % 242.40/242.48 [10009]P1(f330(x100091,x100092))+P1(f330(f330(f332(x100093),f445(x100091,x100094,x100095,x100093,x100096)),x100095))+~P1(f330(f330(f332(x100096),x100092),f330(f330(f41(x100093,f937(x100096,a925)),x100095),x100094))) % 242.40/242.48 [10020]~E(x100202,x100204)+P1(f330(f330(f332(f936(f931(x100201),f931(x100201))),f330(f330(f256(f931(x100201),f931(x100201)),f330(f330(f137(x100201),x100202),f330(f330(f154(x100201),x100203),f116(x100201)))),f330(f330(f137(x100201),x100204),f330(f330(f154(x100201),x100205),f116(x100201))))),f160(x100201,x100206)))+~P1(f330(f330(f332(f936(x100201,x100201)),f330(f330(f256(x100201,x100201),x100203),x100205)),x100206)) % 242.40/242.48 [10094]E(x100941,x100942)+~P1(f330(f330(f332(f936(f931(x100943),f931(x100943))),f330(f330(f256(f931(x100943),f931(x100943)),f330(f330(f137(x100943),x100945),f330(f330(f154(x100943),x100941),f116(x100943)))),f330(f330(f137(x100943),x100946),f330(f330(f154(x100943),x100942),f116(x100943))))),f160(x100943,x100944)))+P1(f330(f330(f332(f936(x100943,x100943)),f330(f330(f256(x100943,x100943),x100941),x100942)),x100944)) % 242.40/242.48 [10125]~P1(f330(f330(f332(f936(f931(x101251),f931(x101251))),f330(f330(f256(f931(x101251),f931(x101251)),f330(f330(f137(x101251),x101255),f330(f330(f154(x101251),x101252),f116(x101251)))),f330(f330(f137(x101251),x101256),f330(f330(f154(x101251),x101253),f116(x101251))))),f160(x101251,x101254)))+P1(f330(f330(f332(f936(f931(x101251),f931(x101251))),f330(f330(f256(f931(x101251),f931(x101251)),x101255),x101256)),f160(x101251,x101254)))+P1(f330(f330(f332(f936(x101251,x101251)),f330(f330(f256(x101251,x101251),x101252),x101253)),x101254)) % 242.40/242.48 [10145]P1(f330(x101451,x101452))+P1(f330(f330(f332(x101453),f451(x101451,x101454,x101455,x101456,x101453)),f330(x101454,f445(x101451,x101454,x101455,x101456,x101453))))+~P1(f330(f330(f332(x101453),x101452),f330(f330(f41(x101456,f937(x101453,a925)),x101455),x101454))) % 242.40/242.48 [10286]P1(f330(f330(f332(x102861),f853(x102862,x102863,x102864,x102865,x102866,x102861)),x102865))+~P1(f330(f330(f239(f937(x102861,a925)),x102866),x102865))+P1(f330(f330(f239(f937(x102864,a925)),f330(f330(f42(x102861,f937(x102864,a925)),x102865),x102863)),f330(f330(f42(x102861,f937(x102864,a925)),x102865),x102862))) % 242.40/242.48 [10407]~P1(f330(f330(f239(f937(x104071,a925)),f330(x104074,f853(x104075,x104074,x104071,x104073,x104076,x104072))),f330(x104075,f853(x104075,x104074,x104071,x104073,x104076,x104072))))+~P1(f330(f330(f239(f937(x104072,a925)),x104076),x104073))+P1(f330(f330(f239(f937(x104071,a925)),f330(f330(f42(x104072,f937(x104071,a925)),x104073),x104074)),f330(f330(f42(x104072,f937(x104071,a925)),x104073),x104075))) % 242.40/242.48 [9138]~P19(x91383,x91384,x91381)+~P1(f330(f63(x91383),x91386))+E(f330(f330(x91381,x91382),f330(f330(f66(x91383,x91384,x91381),x91385),f330(f330(f23(f937(x91383,a925)),x91386),f330(f330(f312(x91383),x91382),f191(f937(x91383,a925)))))),f330(f330(f66(x91383,x91384,x91381),x91385),f330(f330(f312(x91383),x91382),x91386))) % 242.40/242.48 [9447]~P1(f330(f330(f332(x94475),x94473),x94476))+P1(f330(f330(f239(f937(x94471,a925)),f330(x94472,x94473)),x94474))+~P1(f330(f330(f239(f937(x94471,a925)),f330(f330(f41(x94475,f937(x94471,a925)),x94476),x94472)),x94474)) % 242.40/242.48 [10069]~P11(x100691,x100695,x100694)+P1(f330(f330(f332(f936(x100691,x100691)),f330(f330(f256(x100691,x100691),x100692),x100693)),x100694))+~P1(f330(f330(f332(x100691),x100696),f330(f330(f104(f937(x100691,a925)),f330(f289(x100691,x100691,x100694),f330(f330(f312(x100691),x100692),f191(f937(x100691,a925))))),f330(f289(x100691,x100691,x100694),f330(f330(f312(x100691),x100693),f191(f937(x100691,a925))))))) % 242.40/242.48 [8860]~P126(x88602)+~E(f330(f330(f82(x88602),f330(f330(f83(x88602),x88604),x88605)),x88601),f330(f330(f82(x88602),f330(f330(f83(x88602),x88603),x88605)),x88606))+E(x88601,f330(f330(f82(x88602),f330(f330(f83(x88602),f330(f330(f23(x88602),x88603),x88604)),x88605)),x88606)) % 242.40/242.48 [8861]~P126(x88611)+~E(f330(f330(f82(x88611),f330(f330(f83(x88611),x88612),x88614)),x88615),f330(f330(f82(x88611),f330(f330(f83(x88611),x88613),x88614)),x88616))+E(f330(f330(f82(x88611),f330(f330(f83(x88611),f330(f330(f23(x88611),x88612),x88613)),x88614)),x88615),x88616) % 242.40/242.48 [9043]~P126(x90431)+E(f330(f330(f82(x90431),f330(f330(f83(x90431),x90432),x90433)),x90434),f330(f330(f82(x90431),f330(f330(f83(x90431),x90435),x90433)),x90436))+~E(x90436,f330(f330(f82(x90431),f330(f330(f83(x90431),f330(f330(f23(x90431),x90432),x90435)),x90433)),x90434)) % 242.40/242.48 [9044]~P126(x90441)+E(f330(f330(f82(x90441),f330(f330(f83(x90441),x90442),x90443)),x90444),f330(f330(f82(x90441),f330(f330(f83(x90441),x90445),x90443)),x90446))+~E(f330(f330(f82(x90441),f330(f330(f83(x90441),f330(f330(f23(x90441),x90442),x90445)),x90443)),x90444),x90446) % 242.40/242.48 [9378]~P1(f330(f330(x93784,x93785),x93786))+~P1(f330(f330(x93783,x93785),x93786))+P1(f330(f330(f330(f330(f104(f937(x93781,f937(x93782,a925))),x93783),x93784),x93785),x93786)) % 242.40/242.48 [9642]P1(f330(f330(x96421,x96422),x96423))+P1(f330(f330(x96424,x96422),x96423))+~P1(f330(f330(f330(f330(f113(f937(x96425,f937(x96426,a925))),x96424),x96421),x96422),x96423)) % 242.40/242.48 [9934]~P137(x99341)+~P1(f330(f330(f239(x99341),f330(f330(f82(x99341),f330(f330(f83(x99341),x99344),x99345)),x99342)),f330(f330(f82(x99341),f330(f330(f83(x99341),x99343),x99345)),x99346)))+P1(f330(f330(f239(x99341),x99342),f330(f330(f82(x99341),f330(f330(f83(x99341),f330(f330(f23(x99341),x99343),x99344)),x99345)),x99346))) % 242.40/242.48 [9935]~P137(x99351)+~P1(f330(f330(f240(x99351),f330(f330(f82(x99351),f330(f330(f83(x99351),x99354),x99355)),x99352)),f330(f330(f82(x99351),f330(f330(f83(x99351),x99353),x99355)),x99356)))+P1(f330(f330(f240(x99351),x99352),f330(f330(f82(x99351),f330(f330(f83(x99351),f330(f330(f23(x99351),x99353),x99354)),x99355)),x99356))) % 242.40/242.48 [9958]~P137(x99581)+P1(f330(f330(f239(x99581),f330(f330(f82(x99581),f330(f330(f83(x99581),x99582),x99583)),x99584)),f330(f330(f82(x99581),f330(f330(f83(x99581),x99585),x99583)),x99586)))+~P1(f330(f330(f239(x99581),x99584),f330(f330(f82(x99581),f330(f330(f83(x99581),f330(f330(f23(x99581),x99585),x99582)),x99583)),x99586))) % 242.40/242.48 [9959]~P137(x99591)+P1(f330(f330(f240(x99591),f330(f330(f82(x99591),f330(f330(f83(x99591),x99592),x99593)),x99594)),f330(f330(f82(x99591),f330(f330(f83(x99591),x99595),x99593)),x99596)))+~P1(f330(f330(f240(x99591),x99594),f330(f330(f82(x99591),f330(f330(f83(x99591),f330(f330(f23(x99591),x99595),x99592)),x99593)),x99596))) % 242.40/242.48 [10061]~P137(x100611)+~P1(f330(f330(f239(x100611),f330(f330(f82(x100611),f330(f330(f83(x100611),x100612),x100614)),x100615)),f330(f330(f82(x100611),f330(f330(f83(x100611),x100613),x100614)),x100616)))+P1(f330(f330(f239(x100611),f330(f330(f82(x100611),f330(f330(f83(x100611),f330(f330(f23(x100611),x100612),x100613)),x100614)),x100615)),x100616)) % 242.40/242.48 [10062]~P137(x100621)+~P1(f330(f330(f240(x100621),f330(f330(f82(x100621),f330(f330(f83(x100621),x100622),x100624)),x100625)),f330(f330(f82(x100621),f330(f330(f83(x100621),x100623),x100624)),x100626)))+P1(f330(f330(f240(x100621),f330(f330(f82(x100621),f330(f330(f83(x100621),f330(f330(f23(x100621),x100622),x100623)),x100624)),x100625)),x100626)) % 242.40/242.48 [10108]~P137(x101081)+P1(f330(f330(f239(x101081),f330(f330(f82(x101081),f330(f330(f83(x101081),x101082),x101083)),x101084)),f330(f330(f82(x101081),f330(f330(f83(x101081),x101085),x101083)),x101086)))+~P1(f330(f330(f239(x101081),f330(f330(f82(x101081),f330(f330(f83(x101081),f330(f330(f23(x101081),x101082),x101085)),x101083)),x101084)),x101086)) % 242.40/242.48 [10109]~P137(x101091)+P1(f330(f330(f240(x101091),f330(f330(f82(x101091),f330(f330(f83(x101091),x101092),x101093)),x101094)),f330(f330(f82(x101091),f330(f330(f83(x101091),x101095),x101093)),x101096)))+~P1(f330(f330(f240(x101091),f330(f330(f82(x101091),f330(f330(f83(x101091),f330(f330(f23(x101091),x101092),x101095)),x101093)),x101094)),x101096)) % 242.40/242.48 [10271]~P74(x102712)+~P1(f330(f63(x102711),x102716))+E(f330(f330(f6(x102711,x102712),f330(f330(f18(x102711,x102712,x102712),f330(f330(f18(x102711,x102712,f937(x102712,x102712)),f330(f330(f8(a925,f937(x102712,f937(x102712,x102712)),x102711),f99(x102712)),x102713)),x102714)),x102715)),x102716),f330(f330(f82(x102712),f330(f330(f6(x102711,x102712),x102714),f330(f330(f104(f937(x102711,a925)),x102716),f330(f266(x102711),x102713)))),f330(f330(f6(x102711,x102712),x102715),f330(f330(f104(f937(x102711,a925)),x102716),f330(f81(f937(x102711,a925)),f330(f266(x102711),x102713)))))) % 242.40/242.48 [10329]P1(f330(f330(f332(x103292),x103294),x103296))+P1(f330(f330(f332(x103292),x103295),x103296))+E(f330(f314(x103291,x103292,f330(f330(f7(x103291,x103292,x103292),f330(f330(f7(x103291,x103292,f937(x103292,x103292)),f330(f330(f8(a925,f937(x103292,f937(x103292,x103292)),x103291),f99(x103292)),f330(f330(f7(x103291,f937(x103291,a925),a925),f332(x103291)),x103293))),x103294)),x103295)),x103296),f191(f937(x103291,a925))) % 242.40/242.48 [10330]P1(f330(f330(f332(x103302),x103305),x103306))+~P1(f330(f330(f332(x103302),x103304),x103306))+E(f330(f314(x103301,x103302,f330(f330(f7(x103301,x103302,x103302),f330(f330(f7(x103301,x103302,f937(x103302,x103302)),f330(f330(f8(a925,f937(x103302,f937(x103302,x103302)),x103301),f99(x103302)),f330(f330(f7(x103301,f937(x103301,a925),a925),f332(x103301)),x103303))),x103304)),x103305)),x103306),x103303) % 242.40/242.48 [10331]P1(f330(f330(f332(x103312),x103314),x103316))+~P1(f330(f330(f332(x103312),x103315),x103316))+E(f330(f314(x103311,x103312,f330(f330(f7(x103311,x103312,x103312),f330(f330(f7(x103311,x103312,f937(x103312,x103312)),f330(f330(f8(a925,f937(x103312,f937(x103312,x103312)),x103311),f99(x103312)),f330(f330(f7(x103311,f937(x103311,a925),a925),f332(x103311)),x103313))),x103314)),x103315)),x103316),f330(f81(f937(x103311,a925)),x103313)) % 242.40/242.48 [10332]~P1(f330(f330(f332(x103322),x103324),x103326))+~P1(f330(f330(f332(x103322),x103325),x103326))+E(f330(f314(x103321,x103322,f330(f330(f7(x103321,x103322,x103322),f330(f330(f7(x103321,x103322,f937(x103322,x103322)),f330(f330(f8(a925,f937(x103322,f937(x103322,x103322)),x103321),f99(x103322)),f330(f330(f7(x103321,f937(x103321,a925),a925),f332(x103321)),x103323))),x103324)),x103325)),x103326),f246(f937(x103321,a925))) % 242.40/242.48 [10486]P27(x104861,x104862,f330(f330(f312(f929(x104861)),f330(f330(f330(f93(x104861),f330(x104863,x104864)),f330(a26,x104864)),f330(x104865,x104864))),f191(f937(f929(x104861),a925))))+~P1(f330(f330(f332(a928),x104864),x104866))+~P27(x104861,f330(f330(f113(f937(f929(x104861),a925)),x104862),f330(f313(a928,f929(x104861),f330(f330(f18(a928,f937(x104861,f937(a926,a925)),f929(x104861)),f330(f330(f18(a928,a927,f937(f937(x104861,f937(a926,a925)),f929(x104861))),f330(f330(f8(f937(x104861,f937(a926,a925)),f937(a927,f937(f937(x104861,f937(a926,a925)),f929(x104861))),a928),f93(x104861)),x104863)),a26)),x104865)),x104866)),f330(f313(a928,f929(x104861),f330(f330(f18(a928,f937(x104861,f937(a926,a925)),f929(x104861)),f330(f330(f18(a928,a927,f937(f937(x104861,f937(a926,a925)),f929(x104861))),f330(f330(f8(f937(x104861,f937(a926,a925)),f937(a927,f937(f937(x104861,f937(a926,a925)),f929(x104861))),a928),f93(x104861)),x104863)),f330(f330(f8(f934(a927),a927,a928),f236(a927)),a27))),x104865)),x104866)) % 242.40/242.48 [8893]E(x88931,x88932)+~P63(x88934,x88935,x88933,x88936,x88937)+~E(f330(x88933,x88931),f330(x88933,x88932)) % 242.40/242.48 [8922]~P13(x89226,x89225,x89227,x89224,x89221)+E(f330(f330(x89221,x89222),x89223),x89224)+P1(f330(f63(x89225),x89223)) % 242.40/242.48 [9801]P48(x98011,x98012,x98013,x98014,x98015,f330(f330(x98013,x98016),x98017))+~E(f330(f330(x98013,x98016),x98017),x98014)+~E(x98015,f191(f937(x98011,a925))) % 242.40/242.48 [9980]~P1(f330(x99806,x99803))+~P1(f330(f330(f332(f936(x99802,x99802)),f330(f330(f256(x99802,x99802),x99804),x99805)),f330(x99807,x99803)))+P1(f330(f330(f332(f936(f936(x99801,x99802),f936(x99801,x99802))),f330(f330(f256(f936(x99801,x99802),f936(x99801,x99802)),f330(f330(f256(x99801,x99802),x99803),x99804)),f330(f330(f256(x99801,x99802),x99803),x99805))),f284(x99801,x99802,x99806,x99807))) % 242.40/242.48 [10395]~P48(x103952,x103957,x103953,x103956,x103951,f330(f330(x103953,x103955),x103954))+E(f330(f330(x103953,f572(x103954,x103955,x103951,x103956,x103953,x103957,x103952)),f580(x103954,x103955,x103951,x103956,x103953,x103957,x103952)),f330(f330(x103953,x103955),x103954))+E(x103951,f191(f937(x103952,a925))) % 242.40/242.48 [10396]~P48(x103967,x103966,x103961,x103964,x103965,f330(f330(x103961,x103962),x103963))+E(f330(f330(x103961,f572(x103963,x103962,x103965,x103964,x103961,x103966,x103967)),f580(x103963,x103962,x103965,x103964,x103961,x103966,x103967)),f330(f330(x103961,x103962),x103963))+E(f330(f330(x103961,x103962),x103963),x103964) % 242.40/242.48 [9481]~P39(x94811,x94812,x94813,x94815,x94817)+P39(x94811,x94812,x94813,f330(f330(f154(x94811),x94814),x94815),f330(f330(f154(x94812),x94816),x94817))+~P1(f330(f330(x94813,x94814),x94816)) % 242.40/242.48 [9497]P39(x94971,x94972,x94973,x94974,x94975)+~P39(x94971,x94972,x94973,f330(f330(f137(x94971),x94976),x94974),f330(f330(f137(x94972),x94977),x94975))+~E(f330(f192(f931(x94971)),x94976),f330(f192(f931(x94972)),x94977)) % 242.40/242.48 [9498]P39(x94981,x94982,x94983,x94984,x94985)+~P39(x94981,x94982,x94983,f330(f330(f137(x94981),x94984),x94986),f330(f330(f137(x94982),x94985),x94987))+~E(f330(f192(f931(x94981)),x94984),f330(f192(f931(x94982)),x94985)) % 242.40/242.48 [9707]~P39(x97071,x97072,x97073,x97075,x97077)+~P39(x97071,x97072,x97073,x97074,x97076)+P39(x97071,x97072,x97073,f330(f330(f137(x97071),x97074),x97075),f330(f330(f137(x97072),x97076),x97077)) % 242.40/242.48 [10054]~P1(f330(f68(x100541,x100544,x100545,x100546,x100543),x100547))+P1(f330(f68(x100541,x100544,x100545,x100546,f330(f330(f312(x100541),x100542),x100543)),f330(f330(x100545,x100542),x100547)))+P1(f330(f330(f332(x100541),x100542),x100543)) % 242.40/242.48 [10423]~P48(x104232,x104237,x104236,x104235,x104231,f330(f330(x104236,x104234),x104233))+E(x104231,f191(f937(x104232,a925)))+P1(f330(f330(f332(x104232),f572(x104233,x104234,x104231,x104235,x104236,x104237,x104232)),x104231)) % 242.40/242.48 [10424]~P48(x104245,x104247,x104241,x104244,x104246,f330(f330(x104241,x104242),x104243))+E(f330(f330(x104241,x104242),x104243),x104244)+P1(f330(f330(f332(x104245),f572(x104243,x104242,x104246,x104244,x104241,x104247,x104245)),x104246)) % 242.40/242.48 [10513]E(f330(f330(f256(x105131,x105132),x105133),x105134),f330(f330(f256(x105131,x105132),x105135),x105136))+P1(f330(f330(f332(f936(f936(x105131,x105132),f936(x105131,x105132))),f330(f330(f256(f936(x105131,x105132),f936(x105131,x105132)),f330(f330(f256(x105131,x105132),f864(x105137,x105134,x105133,x105136,x105135,x105132,x105131)),f865(x105137,x105134,x105133,x105136,x105135,x105132,x105131))),f330(f330(f256(x105131,x105132),x105133),x105134))),f310(f936(x105131,x105132),x105137)))+~P1(f330(f330(f332(f936(f936(x105131,x105132),f936(x105131,x105132))),f330(f330(f256(f936(x105131,x105132),f936(x105131,x105132)),f330(f330(f256(x105131,x105132),x105135),x105136)),f330(f330(f256(x105131,x105132),x105133),x105134))),f310(f936(x105131,x105132),x105137))) % 242.40/242.48 [9164]~P24(x91644,x91645,x91646,x91647,x91641)+~P1(f330(f63(x91645),x91643))+E(f330(f330(x91641,x91642),x91643),f330(f330(f330(f67(x91644,x91645,x91646),x91642),x91647),x91643)) % 242.40/242.48 [9165]~P13(x91654,x91655,x91656,x91657,x91651)+~P1(f330(f63(x91655),x91653))+E(f330(f330(x91651,x91652),x91653),f330(f330(f330(f67(x91654,x91655,x91656),x91652),x91657),x91653)) % 242.40/242.48 [9765]~P27(x97651,x97652,f330(f330(f312(f929(x97651)),f330(f330(f330(f93(x97651),x97653),x97654),x97657)),f191(f937(f929(x97651),a925))))+P27(x97651,x97652,f330(f330(f312(f929(x97651)),f330(f330(f330(f93(x97651),x97653),f32(x97654,x97655)),x97656)),f191(f937(f929(x97651),a925))))+~P27(x97651,x97652,f330(f330(f312(f929(x97651)),f330(f330(f330(f93(x97651),x97657),x97655),x97656)),f191(f937(f929(x97651),a925)))) % 242.40/242.48 [9953]~P26(x99533,x99534,x99535,x99537,x99536,x99531)+~P1(f330(f63(x99534),x99532))+E(f330(x99531,x99532),f330(f330(f330(f67(x99533,x99534,x99535),x99536),x99537),x99532)) % 242.40/242.48 [10103]P48(x101031,x101032,x101033,x101034,x101035,f330(f330(x101033,x101036),x101037))+~P48(x101031,x101032,x101033,x101034,f330(f330(f23(f937(x101031,a925)),x101035),f330(f330(f312(x101031),x101036),f191(f937(x101031,a925)))),x101037)+~P1(f330(f330(f332(x101031),x101036),x101035)) % 242.40/242.48 [10363]~P27(x103631,x103632,f330(f330(f312(f929(x103631)),f330(f330(f330(f93(x103631),f95(x103631,x103633,x103634)),x103635),x103637)),f191(f937(f929(x103631),a925))))+P27(x103631,x103632,f330(f330(f312(f929(x103631)),f330(f330(f330(f93(x103631),x103633),f29(x103634,x103635,x103636)),x103637)),f191(f937(f929(x103631),a925))))+~P27(x103631,x103632,f330(f330(f312(f929(x103631)),f330(f330(f330(f93(x103631),f95(x103631,x103633,f330(f74(a925,a925,a926,a325),x103634))),x103636),x103637)),f191(f937(f929(x103631),a925)))) % 242.40/242.48 [10447]P1(f330(f330(x104477,f812(x104474,x104475,x104471,x104476,x104473,x104472,x104477)),f813(x104474,x104475,x104471,x104476,x104473,x104472,x104477)))+~P1(f330(f330(x104477,f330(f260(x104472,x104473),x104476)),f330(f255(x104472,x104473),x104476)))+P1(f330(x104471,f330(f330(f261(x104472,x104473,x104474),x104475),x104476))) % 242.40/242.48 [10457]~P48(x104572,x104573,x104574,x104575,x104571,f330(f330(x104574,x104577),x104576))+P48(x104572,x104573,x104574,x104575,f330(f330(f23(f937(x104572,a925)),x104571),f330(f330(f312(x104572),f572(x104576,x104577,x104571,x104575,x104574,x104573,x104572)),f191(f937(x104572,a925)))),f580(x104576,x104577,x104571,x104575,x104574,x104573,x104572))+E(x104571,f191(f937(x104572,a925))) % 242.40/242.48 [10458]~P48(x104585,x104586,x104581,x104584,x104587,f330(f330(x104581,x104582),x104583))+P48(x104585,x104586,x104581,x104584,f330(f330(f23(f937(x104585,a925)),x104587),f330(f330(f312(x104585),f572(x104583,x104582,x104587,x104584,x104581,x104586,x104585)),f191(f937(x104585,a925)))),f580(x104583,x104582,x104587,x104584,x104581,x104586,x104585))+E(f330(f330(x104581,x104582),x104583),x104584) % 242.40/242.48 [10478]~P1(f330(x104781,f330(f330(x104785,f813(x104784,x104785,x104781,x104786,x104783,x104782,x104787)),f812(x104784,x104785,x104781,x104786,x104783,x104782,x104787))))+~P1(f330(f330(x104787,f330(f260(x104782,x104783),x104786)),f330(f255(x104782,x104783),x104786)))+P1(f330(x104781,f330(f330(f261(x104782,x104783,x104784),x104785),x104786))) % 242.40/242.48 [9786]P1(f330(f330(f239(f937(f936(x97861,x97862),a925)),f330(f330(f292(x97861,x97863,x97862),x97864),x97865)),f330(f330(f292(x97861,x97863,x97862),x97866),x97867)))+~P1(f330(f330(f239(f937(f936(x97863,x97862),a925)),x97865),x97867))+~P1(f330(f330(f239(f937(f936(x97861,x97863),a925)),x97864),x97866)) % 242.40/242.48 [10507]E(f330(f330(f256(x105071,x105072),x105073),x105074),f330(f330(f256(x105071,x105072),x105075),x105076))+~P1(f330(f330(f332(f936(f936(x105071,x105072),f936(x105071,x105072))),f330(f330(f256(f936(x105071,x105072),f936(x105071,x105072)),f330(f330(f256(x105071,x105072),x105073),x105074)),f330(f330(f256(x105071,x105072),x105075),x105076))),f310(f936(x105071,x105072),x105077)))+P1(f330(f330(f332(f936(f936(x105071,x105072),f936(x105071,x105072))),f330(f330(f256(f936(x105071,x105072),f936(x105071,x105072)),f330(f330(f256(x105071,x105072),x105073),x105074)),f330(f330(f256(x105071,x105072),f864(x105077,x105076,x105075,x105074,x105073,x105072,x105071)),f865(x105077,x105076,x105075,x105074,x105073,x105072,x105071)))),x105077)) % 242.40/242.48 [10114]~P1(f330(f330(f332(x101141),x101146),x101145))+P1(f330(f68(x101141,x101142,x101143,x101144,x101145),f330(f330(x101143,x101146),x101147)))+~P1(f330(f68(x101141,x101142,x101143,x101144,f330(f330(f23(f937(x101141,a925)),x101145),f330(f330(f312(x101141),x101146),f191(f937(x101141,a925))))),x101147)) % 242.40/242.48 [10520]~P146(x105201)+~P28(f936(x105202,x105203),x105201,f330(f261(x105202,x105203,x105201),f330(f330(f7(x105202,f937(x105203,x105201),f937(x105203,x105201)),f330(f330(f8(f937(x105201,x105201),f937(f937(x105203,x105201),f937(x105203,x105201)),x105202),f8(x105201,x105201,x105203)),f330(f330(f8(x105201,f937(x105201,x105201),x105202),f83(x105201)),x105204))),x105205)),f330(f330(f258(x105202,x105203),x105206),f330(f16(f937(x105203,a925),x105202),x105207)))+E(f330(f330(f6(x105201,x105201),f33(x105201)),f330(f266(x105201),f330(f330(f8(f937(x105202,a925),a925,x105201),f89(x105202)),f330(f330(f8(f937(x105202,f937(x105203,a925)),f937(x105202,a925),x105201),f330(f8(f937(x105203,a925),a925,x105202),f89(x105203))),f330(f330(f7(x105201,f937(x105202,f937(x105203,a925)),f937(x105202,f937(x105203,a925))),f330(f330(f8(f937(x105202,f937(f937(x105203,a925),f937(x105203,a925))),f937(f937(x105202,f937(x105203,a925)),f937(x105202,f937(x105203,a925))),x105201),f18(x105202,f937(x105203,a925),f937(x105203,a925))),f330(f330(f8(f937(x105202,f937(x105203,f937(a925,a925))),f937(x105202,f937(f937(x105203,a925),f937(x105203,a925))),x105201),f330(f8(f937(x105203,f937(a925,a925)),f937(f937(x105203,a925),f937(x105203,a925)),x105202),f18(x105203,a925,a925))),f330(f330(f8(f937(x105202,f937(x105203,a925)),f937(x105202,f937(x105203,f937(a925,a925))),x105201),f330(f8(f937(x105203,a925),f937(x105203,f937(a925,a925)),x105202),f330(f8(a925,f937(a925,a925),x105203),a328))),f330(f330(f7(x105201,f937(x105202,f937(x105203,x105201)),f937(x105202,f937(x105203,a925))),f330(f330(f8(f937(f937(x105203,x105201),f937(x105203,a925)),f937(f937(x105202,f937(x105203,x105201)),f937(x105202,f937(x105203,a925))),x105201),f8(f937(x105203,x105201),f937(x105203,a925),x105202)),f330(f330(f8(f937(x105201,a925),f937(f937(x105203,x105201),f937(x105203,a925)),x105201),f8(x105201,a925,x105203)),a327))),f330(f330(f7(x105202,f937(x105203,x105201),f937(x105203,x105201)),f330(f330(f8(f937(x105201,x105201),f937(f937(x105203,x105201),f937(x105203,x105201)),x105202),f8(x105201,x105201,x105203)),f330(f330(f8(x105201,f937(x105201,x105201),x105202),f83(x105201)),x105204))),x105205)))))),f330(f330(f7(x105202,f937(x105203,a925),f937(x105203,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x105203,a925),f937(x105203,a925)),x105202),f8(a925,a925,x105203)),f330(f330(f8(a925,f937(a925,a925),x105202),a328),f330(f330(f7(x105202,f937(x105202,a925),a925),f332(x105202)),x105206)))),f330(f330(f7(x105203,f937(x105203,a925),a925),f332(x105203)),x105207))))))),f330(f330(f83(x105201),f330(f330(f6(x105202,x105201),x105204),x105206)),f330(f330(f6(x105203,x105201),x105205),x105207))) % 242.40/242.48 [9790]~P29(x97901,x97903,x97905,x97906,x97908)+~P29(x97903,x97902,x97904,x97908,x97907)+P29(x97901,x97902,f330(f74(x97903,x97902,x97901,x97904),x97905),x97906,x97907) % 242.40/242.48 [9819]P29(x98191,x98192,x98193,x98194,x98195)+~P29(x98196,x98191,x98197,x98198,x98194)+~P29(x98196,x98192,f330(f74(x98191,x98192,x98196,x98193),x98197),x98198,x98195) % 242.40/242.48 [9951]~P1(f330(f330(x99514,x99516),x99518))+~P1(f330(f330(x99515,x99518),x99517))+P1(f330(f330(f257(x99511,x99512,x99513,x99514,x99515),x99516),x99517)) % 242.40/242.48 [9549]~P22(x95498,x95491,x95493,x95495)+~P1(f330(f63(x95498),x95496))+E(f330(f74(x95491,x95491,x95492,f330(x95493,x95494)),f330(f74(x95491,x95491,x95492,f330(x95495,x95496)),x95497)),f330(f74(x95491,x95491,x95492,f330(x95495,x95496)),f330(f74(x95491,x95491,x95492,f330(x95493,x95494)),x95497))) % 242.40/242.48 [9941]~P25(x99417,x99412,x99415,x99418,x99416,x99411)+~P1(f330(f63(x99412),x99414))+E(f330(x99411,f330(f330(f312(x99412),x99413),x99414)),f330(f330(x99415,f330(x99416,x99413)),f330(x99411,x99414))) % 242.40/242.48 [10059]~P28(x100592,x100594,x100596,x100598)+~P28(x100591,x100593,x100595,x100597)+P28(f936(x100591,x100592),f936(x100593,x100594),f262(x100591,x100593,x100592,x100594,x100595,x100596),f330(f330(f258(x100591,x100592),x100597),f330(f16(f937(x100592,a925),x100591),x100598))) % 242.40/242.48 [9733]P1(f330(f330(f332(f936(x97331,x97332)),f330(f330(f256(x97331,x97332),x97333),x97334)),f330(f330(f292(x97331,x97335,x97332),x97336),x97337)))+~P1(f330(f330(f332(f936(x97331,x97335)),f330(f330(f256(x97331,x97335),x97333),x97338)),x97336))+~P1(f330(f330(f332(f936(x97335,x97332)),f330(f330(f256(x97335,x97332),x97338),x97334)),x97337)) % 242.40/242.48 [9922]~P1(f330(f330(f239(f937(f936(x99223,x99222),a925)),x99225),f330(f330(f258(x99223,x99222),x99228),f330(f16(f937(x99222,a925),x99223),x99227))))+~P1(f330(f330(f239(f937(f936(x99221,x99223),a925)),x99224),f330(f330(f258(x99221,x99223),x99226),f330(f16(f937(x99223,a925),x99221),x99228))))+P1(f330(f330(f239(f937(f936(x99221,x99222),a925)),f330(f330(f292(x99221,x99223,x99222),x99224),x99225)),f330(f330(f258(x99221,x99222),x99226),f330(f16(f937(x99222,a925),x99221),x99227)))) % 242.40/242.48 [9975]~E(x99753,x99755)+P1(f330(f330(f332(f936(f936(x99751,x99752),f936(x99751,x99752))),f330(f330(f256(f936(x99751,x99752),f936(x99751,x99752)),f330(f330(f256(x99751,x99752),x99753),x99754)),f330(f330(f256(x99751,x99752),x99755),x99756))),f323(x99751,x99752,x99757,x99758)))+~P1(f330(f330(f332(f936(x99752,x99752)),f330(f330(f256(x99752,x99752),x99754),x99756)),x99758)) % 242.40/242.48 [10078]E(x100781,x100782)+~P1(f330(f330(f332(f936(f936(x100783,x100785),f936(x100783,x100785))),f330(f330(f256(f936(x100783,x100785),f936(x100783,x100785)),f330(f330(f256(x100783,x100785),x100781),x100786)),f330(f330(f256(x100783,x100785),x100782),x100787))),f323(x100783,x100785,x100784,x100788)))+P1(f330(f330(f332(f936(x100783,x100783)),f330(f330(f256(x100783,x100783),x100781),x100782)),x100784)) % 242.40/242.48 [10093]~P1(f330(f330(f332(f936(f936(x100931,x100935),f936(x100931,x100935))),f330(f330(f256(f936(x100931,x100935),f936(x100931,x100935)),f330(f330(f256(x100931,x100935),x100932),x100936)),f330(f330(f256(x100931,x100935),x100933),x100937))),f323(x100931,x100935,x100934,x100938)))+P1(f330(f330(f332(f936(x100931,x100931)),f330(f330(f256(x100931,x100931),x100932),x100933)),x100934))+P1(f330(f330(f332(f936(x100935,x100935)),f330(f330(f256(x100935,x100935),x100936),x100937)),x100938)) % 242.40/242.48 [10010]~P26(x100107,x100105,x100101,x100108,x100102,x100104)+~P1(f330(f63(x100105),x100106))+E(f330(f330(x100101,f330(x100102,x100103)),f330(x100104,f330(f330(f23(f937(x100105,a925)),x100106),f330(f330(f312(x100105),x100103),f191(f937(x100105,a925)))))),f330(x100104,f330(f330(f312(x100105),x100103),x100106))) % 242.40/242.48 [9503]~P1(f330(f330(f330(x95035,x95038),x95036),x95037))+~P1(f330(f330(f332(x95031),x95038),x95034))+P1(f330(f330(f330(f330(f41(x95031,f937(x95032,f937(x95033,a925))),x95034),x95035),x95036),x95037)) % 242.40/242.48 [9718]P1(f330(f330(f330(x97181,x97182),x97183),x97184))+~P1(f330(f330(f332(x97185),x97182),x97186))+~P1(f330(f330(f330(f330(f42(x97185,f937(x97187,f937(x97188,a925))),x97186),x97181),x97183),x97184)) % 242.40/242.48 [9915]~P24(x99153,x99152,x99154,x99158,x99151)+~P1(f330(f63(x99152),x99157))+E(f330(f330(x99151,f330(f330(f18(x99152,x99153,x99153),f330(f330(f8(x99153,f937(x99153,x99153),x99152),x99154),x99155)),x99156)),x99157),f330(f330(x99154,f330(f330(x99151,x99155),x99157)),f330(f330(x99151,x99156),x99157))) % 242.40/242.48 [10179]~E(f330(f313(x101792,x101794,x101796),x101798),x1017910)+~E(f330(f313(x101791,x101793,x101795),x101797),x101799)+E(f330(f313(f936(x101791,x101792),f936(x101793,x101794),f262(x101791,x101793,x101792,x101794,x101795,x101796)),f330(f330(f258(x101791,x101792),x101797),f330(f16(f937(x101792,a925),x101791),x101798))),f330(f330(f258(x101793,x101794),x101799),f330(f16(f937(x101794,a925),x101793),x1017910))) % 242.40/242.48 [5113]~P49(x51131,x51132)+~P56(x51131,x51132)+~P57(x51131,x51132)+P10(x51131,x51132) % 242.40/242.48 [5069]~P112(x50692)+~P16(x50692,x50691)+P16(x50692,f117(x50692,x50691))+E(x50691,f116(x50692)) % 242.40/242.48 [5070]~P112(x50702)+~P16(x50702,x50701)+P16(x50702,f728(x50701,x50702))+E(x50701,f116(x50702)) % 242.40/242.48 [5310]~P8(x53102)+E(f10(x53102,x53101),f40(x53102,x53101))+E(x53101,f191(f937(x53102,a925)))+~P1(f330(f63(x53102),x53101)) % 242.40/242.48 [5311]~P8(x53112)+E(f13(x53112,x53111),f39(x53112,x53111))+E(x53111,f191(f937(x53112,a925)))+~P1(f330(f63(x53112),x53111)) % 242.40/242.48 [5467]~P112(x54672)+~P16(x54672,x54671)+E(x54671,f116(x54672))+E(f330(f330(f154(x54672),f748(x54671,x54672)),f728(x54671,x54672)),x54671) % 242.40/242.48 [6277]~P2(x62772)+E(x62771,f191(f937(x62772,a925)))+P1(f330(f330(f239(x62772),f10(x62772,x62771)),f13(x62772,x62771)))+~P1(f330(f63(x62772),x62771)) % 242.40/242.48 [6289]~P45(x62892)+~P45(x62891)+E(x62891,x62892)+~E(f330(f313(a1,a930,a107),x62891),f330(f313(a1,a930,a107),x62892)) % 242.40/242.48 [9356]~P115(x93561)+~P1(f330(f330(f332(x93561),x93562),f112(x93561)))+P1(f330(f330(f240(x93561),f330(f330(f82(x93561),f330(f330(f82(x93561),f80(x93561)),x93562)),x93562)),f2(x93561)))+~P1(f330(f330(f240(x93561),x93562),f2(x93561))) % 242.40/242.48 [9602]~P115(x96021)+~P1(f330(f330(f332(x96021),x96022),f112(x96021)))+~P1(f330(f330(f240(x96021),f330(f330(f82(x96021),f330(f330(f82(x96021),f80(x96021)),x96022)),x96022)),f2(x96021)))+P1(f330(f330(f240(x96021),x96022),f2(x96021))) % 242.40/242.48 [5128]~P146(x51282)+~P117(x51282)+E(x51281,f2(a930))+E(f330(f330(f248(x51282),f2(x51282)),x51281),f2(x51282)) % 242.40/242.48 [5131]~P146(x51311)+~P117(x51311)+~E(x51312,f2(a930))+E(f330(f330(f248(x51311),f2(x51311)),x51312),f80(x51311)) % 242.40/242.48 [5296]~P144(x52962)+E(x52961,f80(x52962))+E(x52961,f330(f81(x52962),f80(x52962)))+~E(f330(f330(f83(x52962),x52961),x52961),f80(x52962)) % 242.40/242.48 [5548]~P94(x55482)+E(x55481,f2(x55482))+E(f84(x55482,x55481),f330(f81(x55482),f80(x55482)))+P1(f330(f330(f240(x55482),f2(x55482)),x55481)) % 242.40/242.48 [5786]~P94(x57862)+E(f84(x57862,x57861),f80(x57862))+E(x57861,f2(x57862))+~P1(f330(f330(f240(x57862),f2(x57862)),x57861)) % 242.40/242.48 [5795]E(x57951,x57952)+~E(f330(f106(a930),x57951),f330(f106(a930),x57952))+P1(f330(a196,f330(f106(a1),x57952)))+P1(f330(a196,f330(f106(a1),x57951))) % 242.40/242.48 [5845]~P97(x58451)+~E(x58452,f2(x58451))+E(f330(f330(f82(x58451),x58452),x58452),f2(x58451))+~P1(f330(f330(f332(x58451),x58452),f112(x58451))) % 242.40/242.48 [5884]E(x58841,f2(a1))+~E(f330(f330(f38(a1),x58842),x58841),f2(a1))+P1(f330(f330(f240(a1),x58841),x58842))+P1(f330(f330(f240(a1),x58842),x58841)) % 242.40/242.48 [5914]E(x59141,f2(a1))+~E(f330(f330(f38(a1),x59142),x59141),f2(a1))+P1(f330(f330(f239(a1),x59142),f2(a1)))+P1(f330(f330(f240(a1),x59142),x59141)) % 242.40/242.48 [5948]E(x59481,f2(a1))+~E(f330(f330(f38(a1),x59482),x59481),f2(a1))+P1(f330(f330(f239(a1),f2(a1)),x59482))+P1(f330(f330(f240(a1),x59481),x59482)) % 242.40/242.48 [5983]~P97(x59832)+E(x59831,f2(x59832))+~E(f330(f330(f82(x59832),x59831),x59831),f2(x59832))+~P1(f330(f330(f332(x59832),x59831),f112(x59832))) % 242.40/242.48 [6045]E(f330(f106(a930),x60451),f330(f106(a930),x60452))+~E(f330(f106(a1),x60452),f2(a1))+P1(f330(a196,f330(f106(a1),x60452)))+~P1(f330(a196,f330(f106(a1),x60451))) % 242.40/242.48 [6077]~E(f330(f106(a930),x60772),f330(f106(a930),x60771))+E(f330(f106(a1),x60771),f2(a1))+P1(f330(a196,f330(f106(a1),x60771)))+~P1(f330(a196,f330(f106(a1),x60772))) % 242.40/242.48 [6087]~P112(x60872)+E(x60871,f191(f937(x60872,a925)))+~P1(f330(f63(x60872),x60871))+P1(f330(f330(f332(x60872),f14(x60872,x60871)),x60871)) % 242.40/242.48 [6088]~P112(x60882)+E(x60881,f191(f937(x60882,a925)))+~P1(f330(f63(x60882),x60881))+P1(f330(f330(f332(x60882),f15(x60882,x60881)),x60881)) % 242.40/242.48 [6254]~P115(x62541)+~P98(x62541)+P1(f330(f330(f239(x62541),f2(x62541)),f330(f106(x62541),x62542)))+~P1(f330(f330(f239(a1),a85),x62542)) % 242.40/242.48 [6255]~P115(x62551)+~P98(x62551)+P1(f330(f330(f240(x62551),f2(x62551)),f330(f106(x62551),x62552)))+~P1(f330(f330(f240(a1),a85),x62552)) % 242.40/242.48 [6276]~P115(x62761)+~P98(x62761)+E(f330(f77(x62761),f330(f106(x62761),x62762)),f330(f106(x62761),x62762))+P1(f330(f330(f240(x62761),f330(f106(x62761),x62762)),f2(x62761))) % 242.40/242.48 [6313]E(x63131,x63132)+~E(f330(a107,x63131),f330(a107,x63132))+~P1(f330(f330(f239(a1),f2(a1)),x63132))+~P1(f330(f330(f239(a1),f2(a1)),x63131)) % 242.40/242.48 [6506]~P98(x65062)+~P115(x65062)+~P1(f330(f330(f239(x65062),f2(x65062)),f330(f106(x65062),x65061)))+P1(f330(f330(f239(a1),a85),x65061)) % 242.40/242.48 [6507]~P98(x65072)+~P115(x65072)+~P1(f330(f330(f240(x65072),f2(x65072)),f330(f106(x65072),x65071)))+P1(f330(f330(f240(a1),a85),x65071)) % 242.40/242.48 [6512]~P115(x65121)+~P98(x65121)+P1(f330(f330(f239(x65121),f330(f106(x65121),x65122)),f2(x65121)))+~P1(f330(f330(f239(a1),x65122),a85)) % 242.40/242.48 [6513]~P115(x65131)+~P98(x65131)+P1(f330(f330(f240(x65131),f330(f106(x65131),x65132)),f2(x65131)))+~P1(f330(f330(f240(a1),x65132),a85)) % 242.40/242.48 [6832]~P98(x68322)+~P115(x68322)+~P1(f330(f330(f239(x68322),f330(f106(x68322),x68321)),f2(x68322)))+P1(f330(f330(f239(a1),x68321),a85)) % 242.40/242.48 [6833]~P98(x68332)+~P115(x68332)+~P1(f330(f330(f240(x68332),f330(f106(x68332),x68331)),f2(x68332)))+P1(f330(f330(f240(a1),x68331),a85)) % 242.40/242.48 [6922]~P115(x69221)+~P98(x69221)+E(f330(f77(x69221),f330(f106(x69221),x69222)),f330(f81(x69221),f330(f106(x69221),x69222)))+~P1(f330(f330(f240(x69221),f330(f106(x69221),x69222)),f2(x69221))) % 242.40/242.48 [6940]E(f330(f106(a930),x69401),f330(f106(a930),x69402))+~E(f330(f106(a1),x69402),f2(a1))+~P1(f330(f330(f239(a1),f330(f106(a1),x69401)),f2(a1)))+~P1(f330(a196,f330(f106(a1),x69401))) % 242.40/242.48 [7822]~P112(x78222)+E(x78221,f191(f937(x78222,a925)))+~P1(f330(f63(x78222),x78221))+P1(f330(f330(f239(x78222),f12(x78222,f237(x78222),x78221)),f11(x78222,f238(x78222),x78221))) % 242.40/242.48 [8144]~P9(x81441)+~P45(x81442)+P1(f330(f330(f332(a1),x81441),x81442))+~P1(f330(f330(f332(a930),f330(a107,x81441)),f330(f313(a1,a930,a107),x81442))) % 242.40/242.48 [6083]~P142(x60832)+E(x60831,f2(a1))+E(f330(f81(x60832),f330(f105(x60832),f330(f81(a1),x60831))),f330(f105(x60832),x60831))+~P1(f330(f330(f240(a1),x60831),f2(a1))) % 242.40/242.48 [6157]~P97(x61571)+~P98(x61571)+~P33(x61571,f330(f106(x61571),x61572))+P33(x61571,f330(f106(x61571),f330(f330(f82(a1),x61572),x61572))) % 242.40/242.48 [6495]~P81(x64952)+E(x64951,f191(f937(x64952,a925)))+E(f15(x64952,f330(f313(x64952,x64952,f81(x64952)),x64951)),f330(f81(x64952),f14(x64952,x64951)))+~P1(f330(f63(x64952),x64951)) % 242.40/242.48 [6496]~P81(x64962)+E(x64961,f191(f937(x64962,a925)))+E(f14(x64962,f330(f313(x64962,x64962,f81(x64962)),x64961)),f330(f81(x64962),f15(x64962,x64961)))+~P1(f330(f63(x64962),x64961)) % 242.40/242.48 [6529]~P97(x65291)+~P98(x65291)+P33(x65291,f330(f106(x65291),x65292))+~P33(x65291,f330(f106(x65291),f330(f330(f82(a1),x65292),x65292))) % 242.40/242.48 [6619]E(x66191,f2(a1))+E(f330(a53,f52(f330(f81(a1),x66191),f330(f81(a1),x66192))),f48(x66191,x66192))+P1(f330(f330(f239(a1),f2(a1)),x66192))+~P1(f330(f330(f239(a1),f2(a1)),x66191)) % 242.40/242.48 [8950]~P45(x89502)+~P45(x89501)+P1(f330(f330(f240(f937(a930,a925)),f330(f313(a1,a930,a107),x89501)),f330(f313(a1,a930,a107),x89502)))+~P1(f330(f330(f240(f937(a1,a925)),x89501),x89502)) % 242.40/242.48 [9184]~E(f750(x91842,x91841),f751(x91842,x91841))+~P1(f330(f140(x91841),f752(x91842,x91841)))+~P1(f330(f140(f931(x91841)),x91842))+P1(f330(f140(x91841),f330(f145(f931(x91841),f931(x91841),f137(x91841),f116(x91841)),x91842))) % 242.40/242.48 [9275]~P45(x92752)+~P45(x92751)+~P1(f330(f330(f239(f937(a930,a925)),f330(f313(a1,a930,a107),x92751)),f330(f313(a1,a930,a107),x92752)))+P1(f330(f330(f239(f937(a1,a925)),x92751),x92752)) % 242.40/242.48 [9276]~P45(x92762)+~P45(x92761)+~P1(f330(f330(f240(f937(a930,a925)),f330(f313(a1,a930,a107),x92761)),f330(f313(a1,a930,a107),x92762)))+P1(f330(f330(f240(f937(a1,a925)),x92761),x92762)) % 242.40/242.48 [9282]~E(f750(x92822,x92821),f751(x92822,x92821))+~P1(f330(f140(f931(x92821)),x92822))+P1(f330(f140(x92821),f330(f145(f931(x92821),f931(x92821),f137(x92821),f116(x92821)),x92822)))+P1(f330(f330(f332(f931(x92821)),f752(x92822,x92821)),f330(f175(f931(x92821)),x92822))) % 242.40/242.48 [9324]~P1(f330(f140(x93241),f752(x93242,x93241)))+~P1(f330(f140(f931(x93241)),x93242))+P1(f330(f140(x93241),f330(f145(f931(x93241),f931(x93241),f137(x93241),f116(x93241)),x93242)))+P1(f330(f330(f332(f931(x93241)),f751(x93242,x93241)),f330(f175(f931(x93241)),x93242))) % 242.40/242.48 [9325]~P1(f330(f140(x93251),f752(x93252,x93251)))+~P1(f330(f140(f931(x93251)),x93252))+P1(f330(f140(x93251),f330(f145(f931(x93251),f931(x93251),f137(x93251),f116(x93251)),x93252)))+P1(f330(f330(f332(f931(x93251)),f750(x93252,x93251)),f330(f175(f931(x93251)),x93252))) % 242.40/242.48 [9408]~P1(f330(f140(f931(x94081)),x94082))+P1(f330(f140(x94081),f330(f145(f931(x94081),f931(x94081),f137(x94081),f116(x94081)),x94082)))+P1(f330(f330(f332(f931(x94081)),f751(x94082,x94081)),f330(f175(f931(x94081)),x94082)))+P1(f330(f330(f332(f931(x94081)),f752(x94082,x94081)),f330(f175(f931(x94081)),x94082))) % 242.40/242.48 [9409]~P1(f330(f140(f931(x94091)),x94092))+P1(f330(f140(x94091),f330(f145(f931(x94091),f931(x94091),f137(x94091),f116(x94091)),x94092)))+P1(f330(f330(f332(f931(x94091)),f750(x94092,x94091)),f330(f175(f931(x94091)),x94092)))+P1(f330(f330(f332(f931(x94091)),f752(x94092,x94091)),f330(f175(f931(x94091)),x94092))) % 242.40/242.48 [9424]~E(f330(f330(f104(f937(x94241,a925)),f330(f175(x94241),f751(x94242,x94241))),f330(f175(x94241),f750(x94242,x94241))),f191(f937(x94241,a925)))+~P1(f330(f140(x94241),f752(x94242,x94241)))+~P1(f330(f140(f931(x94241)),x94242))+P1(f330(f140(x94241),f330(f145(f931(x94241),f931(x94241),f137(x94241),f116(x94241)),x94242))) % 242.40/242.48 [9485]~E(f330(f330(f104(f937(x94851,a925)),f330(f175(x94851),f751(x94852,x94851))),f330(f175(x94851),f750(x94852,x94851))),f191(f937(x94851,a925)))+~P1(f330(f140(f931(x94851)),x94852))+P1(f330(f140(x94851),f330(f145(f931(x94851),f931(x94851),f137(x94851),f116(x94851)),x94852)))+P1(f330(f330(f332(f931(x94851)),f752(x94852,x94851)),f330(f175(f931(x94851)),x94852))) % 242.40/242.48 [9758]E(x97581,f2(a1))+E(x97582,f2(a1))+E(f330(f330(f88(a1,f936(a1,a1)),f330(f330(a221,x97582),x97581)),f330(f330(f18(a1,a1,f936(a1,a1)),f330(f330(f8(a1,f937(a1,f936(a1,a1)),a1),f256(a1,a1)),f330(f38(a1),x97582))),f330(f38(a1),x97581))),f219(x97582,x97581))+P1(f330(f330(f240(a1),x97581),f2(a1))) % 242.40/242.48 [8480]~P98(x84802)+~P115(x84802)+~P1(f330(f330(f239(x84802),f330(f106(x84802),x84801)),f80(x84802)))+P1(f330(f330(f239(a1),x84801),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 242.40/242.48 [8481]~P98(x84812)+~P115(x84812)+~P1(f330(f330(f240(x84812),f330(f106(x84812),x84811)),f80(x84812)))+P1(f330(f330(f240(a1),x84811),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 242.40/242.48 [8767]~P115(x87671)+~P98(x87671)+P1(f330(f330(f239(x87671),f330(f106(x87671),x87672)),f80(x87671)))+~P1(f330(f330(f239(a1),x87672),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 242.40/242.48 [8768]~P115(x87681)+~P98(x87681)+P1(f330(f330(f240(x87681),f330(f106(x87681),x87682)),f80(x87681)))+~P1(f330(f330(f240(a1),x87682),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))) % 242.40/242.48 [8978]~P98(x89782)+~P115(x89782)+~P1(f330(f330(f239(x89782),f80(x89782)),f330(f106(x89782),x89781)))+P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x89781)) % 242.40/242.48 [8979]~P98(x89792)+~P115(x89792)+~P1(f330(f330(f240(x89792),f80(x89792)),f330(f106(x89792),x89791)))+P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x89791)) % 242.40/242.48 [9362]~P115(x93621)+~P98(x93621)+P1(f330(f330(f239(x93621),f80(x93621)),f330(f106(x93621),x93622)))+~P1(f330(f330(f239(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x93622)) % 242.40/242.48 [9363]~P115(x93631)+~P98(x93631)+P1(f330(f330(f240(x93631),f80(x93631)),f330(f106(x93631),x93632)))+~P1(f330(f330(f240(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),x93632)) % 242.40/242.48 [9888]~P144(x98882)+E(x98881,f80(x98882))+E(x98881,f330(f81(x98882),f80(x98882)))+~E(f330(f330(f248(x98882),x98881),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f80(x98882)) % 242.40/242.48 [10155]~P72(x101551)+~P98(x101551)+~P1(f330(f330(f240(x101551),f2(x101551)),x101552))+P1(f330(f330(f240(x101551),f2(x101551)),f330(f330(f293(x101551),x101552),f330(f106(x101551),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.48 [10208]~P72(x102081)+~P98(x102081)+P1(f330(f330(f240(x102081),f2(x102081)),x102082))+~P1(f330(f330(f240(x102081),f2(x102081)),f330(f330(f293(x102081),x102082),f330(f106(x102081),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.48 [10485]~P142(x104852)+E(x104851,f2(a1))+P1(f330(f330(f240(a1),x104851),f2(a1)))+E(f330(f330(f261(a1,a1,x104852),f330(f330(f7(a1,f937(a1,f937(x104852,x104852)),f937(a1,x104852)),f330(f330(f8(f937(f937(x104852,x104852),x104852),f937(f937(a1,f937(x104852,x104852)),f937(a1,x104852)),a1),f8(f937(x104852,x104852),x104852,a1)),f330(f330(f8(x104852,f937(f937(x104852,x104852),x104852),a1),f88(x104852,x104852)),f105(x104852)))),f330(f330(f7(a1,f937(x104852,x104852),f937(x104852,x104852)),f330(f330(f8(f937(x104852,f937(x104852,x104852)),f937(f937(x104852,x104852),f937(x104852,x104852)),a1),f18(x104852,x104852,x104852)),f330(f330(f7(a1,f937(x104852,x104852),f937(x104852,f937(x104852,x104852))),f330(f330(f8(f937(x104852,f937(x104852,x104852)),f937(f937(x104852,x104852),f937(x104852,f937(x104852,x104852))),a1),f8(x104852,f937(x104852,x104852),x104852)),f330(f330(f8(a925,f937(x104852,f937(x104852,x104852)),a1),f99(x104852)),f330(f330(f7(a1,a1,a925),a327),f2(a1))))),f330(f330(f18(x104852,x104852,x104852),f82(x104852)),f5(x104852))))),f330(f330(f7(x104852,x104852,x104852),f330(f330(f8(x104852,f937(x104852,x104852),x104852),f82(x104852)),f330(f330(f18(x104852,x104852,x104852),f82(x104852)),f5(x104852)))),f80(x104852))))),f48(x104851,f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f105(x104852),x104851)) % 242.40/242.48 [5557]~P43(x55571,x55573)+~P58(x55571,x55573)+~P59(x55571,x55572,x55573)+P11(x55571,x55572,x55573) % 242.40/242.48 [5097]~P97(x50973)+~P98(x50973)+E(x50971,x50972)+~E(f330(f106(x50973),x50971),f330(f106(x50973),x50972)) % 242.40/242.48 [5567]~P56(x55671,x55672)+~P57(x55671,x55672)+P18(x55671,x55672)+~P1(f330(f330(x55672,x55673),x55673)) % 242.40/242.48 [6060]P18(x60602,x60601)+E(f330(x60601,f830(x60601)),f330(x60601,f831(x60601)))+P1(f330(f330(x60601,f830(x60601)),f831(x60601)))+~P1(f330(f330(x60601,x60603),x60603)) % 242.40/242.48 [6264]~P1(f330(x62641,x62642))+~P1(f330(x62641,x62643))+~P1(f330(f330(f239(a930),x62643),f909(x62642,x62641)))+P1(f330(x62641,f2(a930))) % 242.40/242.48 [6332]P18(x63321,x63322)+P1(f330(f330(x63322,f830(x63322)),f830(x63322)))+P1(f330(f330(x63322,f830(x63322)),f831(x63322)))+~P1(f330(f330(x63322,x63323),x63323)) % 242.40/242.48 [6333]P18(x63331,x63332)+P1(f330(f330(x63332,f830(x63332)),f831(x63332)))+P1(f330(f330(x63332,f831(x63332)),f831(x63332)))+~P1(f330(f330(x63332,x63333),x63333)) % 242.40/242.48 [6686]P150(x66862,x66863,x66861)+E(x66861,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f871(x66861,x66863,x66862)))+P1(f330(f330(f240(a1),x66861),f2(a1))) % 242.40/242.48 [6687]P149(x66872,x66873,x66871)+E(x66871,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f876(x66871,x66873,x66872)))+P1(f330(f330(f240(a1),x66871),f2(a1))) % 242.40/242.48 [6812]P149(x68121,x68122,x68123)+~P1(f330(x68121,x68122))+P1(f330(f330(f239(a1),f2(a1)),f876(x68123,x68122,x68121)))+P1(f330(f330(f240(a1),x68123),f2(a1))) % 242.40/242.48 [6838]P150(x68381,x68382,x68383)+P1(f330(f330(f239(a1),f2(a1)),f871(x68383,x68382,x68381)))+~P1(f330(x68381,f2(a1)))+P1(f330(f330(f240(a1),x68383),f2(a1))) % 242.40/242.48 [6866]P150(x68662,x68663,x68661)+E(x68661,f2(a1))+~P1(f330(x68662,f872(x68661,x68663,x68662)))+P1(f330(f330(f240(a1),x68661),f2(a1))) % 242.40/242.48 [6867]P149(x68672,x68673,x68671)+E(x68671,f2(a1))+~P1(f330(x68672,f876(x68671,x68673,x68672)))+P1(f330(f330(f240(a1),x68671),f2(a1))) % 242.40/242.48 [6964]~P112(x69641)+~P8(x69641)+~P1(f330(f330(f240(x69641),x69642),f39(x69641,x69643)))+P1(f330(f330(f240(x69641),x69642),f608(x69643,x69642,x69641))) % 242.40/242.48 [6973]P149(x69731,x69732,x69733)+~P1(f330(x69731,x69732))+~P1(f330(x69731,f876(x69733,x69732,x69731)))+P1(f330(f330(f240(a1),x69733),f2(a1))) % 242.40/242.48 [7004]P150(x70041,x70042,x70043)+~P1(f330(x70041,f872(x70043,x70042,x70041)))+~P1(f330(x70041,f2(a1)))+P1(f330(f330(f240(a1),x70043),f2(a1))) % 242.40/242.48 [7251]P150(x72512,x72513,x72511)+E(x72511,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f871(x72511,x72513,x72512)))+P1(f330(f330(f240(a1),x72511),f870(x72511,x72513,x72512))) % 242.40/242.48 [7252]P149(x72522,x72523,x72521)+E(x72521,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f876(x72521,x72523,x72522)))+P1(f330(f330(f240(a1),x72521),f875(x72521,x72523,x72522))) % 242.40/242.48 [7371]P149(x73711,x73712,x73713)+~P1(f330(x73711,x73712))+P1(f330(f330(f239(a1),f2(a1)),f876(x73713,x73712,x73711)))+P1(f330(f330(f240(a1),x73713),f875(x73713,x73712,x73711))) % 242.40/242.48 [7390]P150(x73901,x73902,x73903)+P1(f330(f330(f239(a1),f2(a1)),f871(x73903,x73902,x73901)))+P1(f330(f330(f240(a1),x73903),f870(x73903,x73902,x73901)))+~P1(f330(x73901,f2(a1))) % 242.40/242.48 [7422]P150(x74222,x74223,x74221)+E(x74221,f2(a1))+~P1(f330(x74222,f872(x74221,x74223,x74222)))+P1(f330(f330(f240(a1),x74221),f870(x74221,x74223,x74222))) % 242.40/242.48 [7423]P149(x74232,x74233,x74231)+E(x74231,f2(a1))+~P1(f330(x74232,f876(x74231,x74233,x74232)))+P1(f330(f330(f240(a1),x74231),f875(x74231,x74233,x74232))) % 242.40/242.48 [7467]P150(x74672,x74673,x74671)+E(x74671,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f871(x74671,x74673,x74672)))+~P1(f330(x74672,f874(x74671,x74673,x74672))) % 242.40/242.48 [7468]P149(x74682,x74683,x74681)+E(x74681,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f876(x74681,x74683,x74682)))+~P1(f330(x74682,f875(x74681,x74683,x74682))) % 242.40/242.48 [7569]P149(x75691,x75692,x75693)+~P1(f330(x75691,x75692))+~P1(f330(x75691,f876(x75693,x75692,x75691)))+P1(f330(f330(f240(a1),x75693),f875(x75693,x75692,x75691))) % 242.40/242.48 [7584]P150(x75841,x75842,x75843)+~P1(f330(x75841,f872(x75843,x75842,x75841)))+P1(f330(f330(f240(a1),x75843),f870(x75843,x75842,x75841)))+~P1(f330(x75841,f2(a1))) % 242.40/242.48 [7589]P149(x75891,x75892,x75893)+~P1(f330(x75891,x75892))+P1(f330(f330(f239(a1),f2(a1)),f876(x75893,x75892,x75891)))+~P1(f330(x75891,f875(x75893,x75892,x75891))) % 242.40/242.48 [7605]P150(x76051,x76052,x76053)+P1(f330(f330(f239(a1),f2(a1)),f871(x76053,x76052,x76051)))+~P1(f330(x76051,f874(x76053,x76052,x76051)))+~P1(f330(x76051,f2(a1))) % 242.40/242.48 [7626]P150(x76262,x76263,x76261)+E(x76261,f2(a1))+~P1(f330(x76262,f872(x76261,x76263,x76262)))+~P1(f330(x76262,f874(x76261,x76263,x76262))) % 242.40/242.48 [7627]P149(x76272,x76273,x76271)+E(x76271,f2(a1))+~P1(f330(x76272,f876(x76271,x76273,x76272)))+~P1(f330(x76272,f875(x76271,x76273,x76272))) % 242.40/242.48 [7720]P149(x77201,x77202,x77203)+~P1(f330(x77201,x77202))+~P1(f330(x77201,f876(x77203,x77202,x77201)))+~P1(f330(x77201,f875(x77203,x77202,x77201))) % 242.40/242.48 [7737]P150(x77371,x77372,x77373)+~P1(f330(x77371,f872(x77373,x77372,x77371)))+~P1(f330(x77371,f874(x77373,x77372,x77371)))+~P1(f330(x77371,f2(a1))) % 242.40/242.48 [7781]P150(x77812,x77813,x77811)+E(x77811,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f871(x77811,x77813,x77812)))+P1(f330(f330(f239(a1),f870(x77811,x77813,x77812)),f2(a1))) % 242.40/242.48 [7782]P149(x77822,x77823,x77821)+E(x77821,f2(a1))+P1(f330(f330(f239(a1),f2(a1)),f876(x77821,x77823,x77822)))+P1(f330(f330(f239(a1),f875(x77821,x77823,x77822)),f2(a1))) % 242.40/242.48 [7783]~P142(x77831)+~P1(f330(f330(f332(x77831),x77833),f112(x77831)))+~P1(f330(f330(f332(x77831),x77832),f112(x77831)))+P1(f330(f330(f332(x77831),f330(f330(f23(x77831),x77832),x77833)),f112(x77831))) % 242.40/242.48 [7784]~P142(x77841)+~P1(f330(f330(f332(x77841),x77843),f112(x77841)))+~P1(f330(f330(f332(x77841),x77842),f112(x77841)))+P1(f330(f330(f332(x77841),f330(f330(f82(x77841),x77842),x77843)),f112(x77841))) % 242.40/242.48 [7785]~P147(x77851)+~P1(f330(f330(f332(x77851),x77853),f189(x77851)))+~P1(f330(f330(f332(x77851),x77852),f189(x77851)))+P1(f330(f330(f332(x77851),f330(f330(f82(x77851),x77852),x77853)),f189(x77851))) % 242.40/242.48 [7786]~P142(x77861)+~P1(f330(f330(f332(x77861),x77863),f112(x77861)))+~P1(f330(f330(f332(x77861),x77862),f112(x77861)))+P1(f330(f330(f332(x77861),f330(f330(f83(x77861),x77862),x77863)),f112(x77861))) % 242.40/242.48 [7787]~P147(x77871)+~P1(f330(f330(f332(x77871),x77873),f189(x77871)))+~P1(f330(f330(f332(x77871),x77872),f189(x77871)))+P1(f330(f330(f332(x77871),f330(f330(f83(x77871),x77872),x77873)),f189(x77871))) % 242.40/242.48 [7788]~P89(x77881)+~P1(f330(f330(f239(x77881),x77883),f2(x77881)))+~P1(f330(f330(f239(x77881),x77882),f2(x77881)))+P1(f330(f330(f239(x77881),f330(f330(f82(x77881),x77882),x77883)),f2(x77881))) % 242.40/242.48 [7789]~P89(x77891)+~P1(f330(f330(f239(x77891),x77893),f2(x77891)))+~P1(f330(f330(f240(x77891),x77892),f2(x77891)))+P1(f330(f330(f240(x77891),f330(f330(f82(x77891),x77892),x77893)),f2(x77891))) % 242.40/242.48 [7790]~P89(x77901)+~P1(f330(f330(f239(x77901),x77902),f2(x77901)))+~P1(f330(f330(f240(x77901),x77903),f2(x77901)))+P1(f330(f330(f240(x77901),f330(f330(f82(x77901),x77902),x77903)),f2(x77901))) % 242.40/242.48 [7791]~P89(x77911)+~P1(f330(f330(f240(x77911),x77913),f2(x77911)))+~P1(f330(f330(f240(x77911),x77912),f2(x77911)))+P1(f330(f330(f240(x77911),f330(f330(f82(x77911),x77912),x77913)),f2(x77911))) % 242.40/242.48 [7818]P150(x78183,x78182,x78181)+E(x78181,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78181),f872(x78181,x78182,x78183))),f871(x78181,x78182,x78183)),x78182)+P1(f330(f330(f240(a1),x78181),f2(a1))) % 242.40/242.48 [7819]P149(x78193,x78192,x78191)+E(x78191,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78191),f877(x78191,x78192,x78193))),f876(x78191,x78192,x78193)),x78192)+P1(f330(f330(f240(a1),x78191),f2(a1))) % 242.40/242.48 [7901]P149(x79011,x79012,x79013)+~P1(f330(x79011,x79012))+P1(f330(f330(f239(a1),f2(a1)),f876(x79013,x79012,x79011)))+P1(f330(f330(f239(a1),f875(x79013,x79012,x79011)),f2(a1))) % 242.40/242.48 [7930]P150(x79301,x79302,x79303)+P1(f330(f330(f239(a1),f2(a1)),f871(x79303,x79302,x79301)))+~P1(f330(x79301,f2(a1)))+P1(f330(f330(f239(a1),f870(x79303,x79302,x79301)),f2(a1))) % 242.40/242.48 [7939]P149(x79393,x79392,x79391)+~P1(f330(x79393,x79392))+E(f330(f330(f82(a1),f330(f330(f83(a1),x79391),f877(x79391,x79392,x79393))),f876(x79391,x79392,x79393)),x79392)+P1(f330(f330(f240(a1),x79391),f2(a1))) % 242.40/242.48 [7945]P150(x79452,x79453,x79451)+E(x79451,f2(a1))+~P1(f330(x79452,f872(x79451,x79453,x79452)))+P1(f330(f330(f239(a1),f870(x79451,x79453,x79452)),f2(a1))) % 242.40/242.48 [7946]P149(x79462,x79463,x79461)+E(x79461,f2(a1))+~P1(f330(x79462,f876(x79461,x79463,x79462)))+P1(f330(f330(f239(a1),f875(x79461,x79463,x79462)),f2(a1))) % 242.40/242.48 [7951]P150(x79513,x79512,x79511)+E(f330(f330(f82(a1),f330(f330(f83(a1),x79511),f872(x79511,x79512,x79513))),f871(x79511,x79512,x79513)),x79512)+~P1(f330(x79513,f2(a1)))+P1(f330(f330(f240(a1),x79511),f2(a1))) % 242.40/242.48 [8008]P149(x80081,x80082,x80083)+~P1(f330(x80081,x80082))+~P1(f330(x80081,f876(x80083,x80082,x80081)))+P1(f330(f330(f239(a1),f875(x80083,x80082,x80081)),f2(a1))) % 242.40/242.48 [8012]P150(x80121,x80122,x80123)+~P1(f330(x80121,f872(x80123,x80122,x80121)))+~P1(f330(x80121,f2(a1)))+P1(f330(f330(f239(a1),f870(x80123,x80122,x80121)),f2(a1))) % 242.40/242.48 [8085]~P129(x80851)+~P1(f330(f330(f239(x80851),f330(f330(f83(x80851),x80853),x80852)),f2(x80851)))+P1(f330(f330(f239(x80851),x80852),f2(x80851)))+P1(f330(f330(f239(x80851),x80853),f2(x80851))) % 242.40/242.48 [8086]~P72(x80861)+~P1(f330(f330(f239(x80861),f330(f330(f293(x80861),x80863),x80862)),f2(x80861)))+P1(f330(f330(f239(x80861),x80862),f2(x80861)))+P1(f330(f330(f239(x80861),x80863),f2(x80861))) % 242.40/242.48 [8087]~P72(x80871)+~P1(f330(f330(f240(x80871),f330(f330(f293(x80871),x80873),x80872)),f2(x80871)))+P1(f330(f330(f240(x80871),x80872),f2(x80871)))+P1(f330(f330(f240(x80871),x80873),f2(x80871))) % 242.40/242.48 [8200]P150(x82003,x82002,x82001)+E(x82001,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82001),f872(x82001,x82002,x82003))),f871(x82001,x82002,x82003)),x82002)+P1(f330(f330(f240(a1),x82001),f870(x82001,x82002,x82003))) % 242.40/242.48 [8201]P149(x82013,x82012,x82011)+E(x82011,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82011),f877(x82011,x82012,x82013))),f876(x82011,x82012,x82013)),x82012)+P1(f330(f330(f240(a1),x82011),f875(x82011,x82012,x82013))) % 242.40/242.48 [8213]P150(x82133,x82132,x82131)+E(x82131,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82131),f874(x82131,x82132,x82133))),f870(x82131,x82132,x82133)),x82132)+P1(f330(f330(f239(a1),f2(a1)),f871(x82131,x82132,x82133))) % 242.40/242.48 [8214]P149(x82143,x82142,x82141)+E(x82141,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82141),f878(x82141,x82142,x82143))),f875(x82141,x82142,x82143)),x82142)+P1(f330(f330(f239(a1),f2(a1)),f876(x82141,x82142,x82143))) % 242.40/242.48 [8261]P149(x82613,x82612,x82611)+~P1(f330(x82613,x82612))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82611),f877(x82611,x82612,x82613))),f876(x82611,x82612,x82613)),x82612)+P1(f330(f330(f240(a1),x82611),f875(x82611,x82612,x82613))) % 242.40/242.48 [8273]P150(x82733,x82732,x82731)+E(f330(f330(f82(a1),f330(f330(f83(a1),x82731),f872(x82731,x82732,x82733))),f871(x82731,x82732,x82733)),x82732)+P1(f330(f330(f240(a1),x82731),f870(x82731,x82732,x82733)))+~P1(f330(x82733,f2(a1))) % 242.40/242.48 [8279]P149(x82793,x82792,x82791)+~P1(f330(x82793,x82792))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82791),f878(x82791,x82792,x82793))),f875(x82791,x82792,x82793)),x82792)+P1(f330(f330(f239(a1),f2(a1)),f876(x82791,x82792,x82793))) % 242.40/242.48 [8287]P150(x82873,x82872,x82871)+E(f330(f330(f82(a1),f330(f330(f83(a1),x82871),f874(x82871,x82872,x82873))),f870(x82871,x82872,x82873)),x82872)+P1(f330(f330(f239(a1),f2(a1)),f871(x82871,x82872,x82873)))+~P1(f330(x82873,f2(a1))) % 242.40/242.48 [8298]P150(x82983,x82982,x82981)+E(x82981,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82981),f872(x82981,x82982,x82983))),f871(x82981,x82982,x82983)),x82982)+~P1(f330(x82983,f874(x82981,x82982,x82983))) % 242.40/242.48 [8299]P149(x82993,x82992,x82991)+E(x82991,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x82991),f877(x82991,x82992,x82993))),f876(x82991,x82992,x82993)),x82992)+~P1(f330(x82993,f875(x82991,x82992,x82993))) % 242.40/242.48 [8300]P150(x83003,x83002,x83001)+E(x83001,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83001),f874(x83001,x83002,x83003))),f870(x83001,x83002,x83003)),x83002)+~P1(f330(x83003,f872(x83001,x83002,x83003))) % 242.40/242.48 [8301]P149(x83013,x83012,x83011)+E(x83011,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83011),f878(x83011,x83012,x83013))),f875(x83011,x83012,x83013)),x83012)+~P1(f330(x83013,f876(x83011,x83012,x83013))) % 242.40/242.48 [8364]P149(x83643,x83642,x83641)+~P1(f330(x83643,x83642))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83641),f877(x83641,x83642,x83643))),f876(x83641,x83642,x83643)),x83642)+~P1(f330(x83643,f875(x83641,x83642,x83643))) % 242.40/242.48 [8365]P149(x83653,x83652,x83651)+~P1(f330(x83653,x83652))+E(f330(f330(f82(a1),f330(f330(f83(a1),x83651),f878(x83651,x83652,x83653))),f875(x83651,x83652,x83653)),x83652)+~P1(f330(x83653,f876(x83651,x83652,x83653))) % 242.40/242.48 [8375]P150(x83753,x83752,x83751)+E(f330(f330(f82(a1),f330(f330(f83(a1),x83751),f872(x83751,x83752,x83753))),f871(x83751,x83752,x83753)),x83752)+~P1(f330(x83753,f874(x83751,x83752,x83753)))+~P1(f330(x83753,f2(a1))) % 242.40/242.48 [8376]P150(x83763,x83762,x83761)+E(f330(f330(f82(a1),f330(f330(f83(a1),x83761),f874(x83761,x83762,x83763))),f870(x83761,x83762,x83763)),x83762)+~P1(f330(x83763,f872(x83761,x83762,x83763)))+~P1(f330(x83763,f2(a1))) % 242.40/242.48 [8473]P150(x84733,x84732,x84731)+E(x84731,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84731),f872(x84731,x84732,x84733))),f871(x84731,x84732,x84733)),x84732)+P1(f330(f330(f239(a1),f870(x84731,x84732,x84733)),f2(a1))) % 242.40/242.48 [8474]P149(x84743,x84742,x84741)+E(x84741,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84741),f877(x84741,x84742,x84743))),f876(x84741,x84742,x84743)),x84742)+P1(f330(f330(f239(a1),f875(x84741,x84742,x84743)),f2(a1))) % 242.40/242.48 [8514]P149(x85143,x85142,x85141)+~P1(f330(x85143,x85142))+E(f330(f330(f82(a1),f330(f330(f83(a1),x85141),f877(x85141,x85142,x85143))),f876(x85141,x85142,x85143)),x85142)+P1(f330(f330(f239(a1),f875(x85141,x85142,x85143)),f2(a1))) % 242.40/242.48 [8519]P150(x85193,x85192,x85191)+E(f330(f330(f82(a1),f330(f330(f83(a1),x85191),f872(x85191,x85192,x85193))),f871(x85191,x85192,x85193)),x85192)+~P1(f330(x85193,f2(a1)))+P1(f330(f330(f239(a1),f870(x85191,x85192,x85193)),f2(a1))) % 242.40/242.48 [8656]P150(x86563,x86562,x86561)+E(x86561,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x86561),f874(x86561,x86562,x86563))),f870(x86561,x86562,x86563)),x86562)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86561),f872(x86561,x86562,x86563))),f871(x86561,x86562,x86563)),x86562) % 242.40/242.48 [8657]P149(x86573,x86572,x86571)+E(x86571,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x86571),f878(x86571,x86572,x86573))),f875(x86571,x86572,x86573)),x86572)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86571),f877(x86571,x86572,x86573))),f876(x86571,x86572,x86573)),x86572) % 242.40/242.48 [8680]P149(x86803,x86802,x86801)+~P1(f330(x86803,x86802))+E(f330(f330(f82(a1),f330(f330(f83(a1),x86801),f878(x86801,x86802,x86803))),f875(x86801,x86802,x86803)),x86802)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86801),f877(x86801,x86802,x86803))),f876(x86801,x86802,x86803)),x86802) % 242.40/242.48 [8692]P150(x86923,x86922,x86921)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86921),f874(x86921,x86922,x86923))),f870(x86921,x86922,x86923)),x86922)+E(f330(f330(f82(a1),f330(f330(f83(a1),x86921),f872(x86921,x86922,x86923))),f871(x86921,x86922,x86923)),x86922)+~P1(f330(x86923,f2(a1))) % 242.40/242.48 [9371]~P129(x93711)+~E(x93713,f2(x93711))+~E(x93712,f2(x93711))+P1(f330(f330(f239(x93711),f330(f330(f82(x93711),f330(f330(f83(x93711),x93712),x93712)),f330(f330(f83(x93711),x93713),x93713))),f2(x93711))) % 242.40/242.48 [10426]~P115(x104261)+~E(x104263,f2(x104261))+~E(x104262,f2(x104261))+P1(f330(f330(f239(x104261),f330(f330(f82(x104261),f330(f330(f248(x104261),x104262),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x104261),x104263),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))),f2(x104261))) % 242.40/242.48 [5045]~E(x50453,x50451)+~P122(x50452)+E(x50451,f2(x50452))+E(f330(f330(f293(x50452),x50453),x50451),f80(x50452)) % 242.40/242.48 [5098]~P3(x50981)+~E(x50983,f191(x50981))+~E(x50982,f191(x50981))+E(f330(f330(f113(x50981),x50982),x50983),f191(x50981)) % 242.40/242.48 [5099]~P102(x50991)+~E(x50993,f246(x50991))+~E(x50992,f246(x50991))+E(f330(f330(f104(x50991),x50992),x50993),f246(x50991)) % 242.40/242.48 [5192]~P122(x51923)+E(x51921,x51922)+E(x51922,f2(x51923))+~E(f330(f330(f293(x51923),x51921),x51922),f80(x51923)) % 242.40/242.48 [5209]~P143(x52092)+E(x52091,f2(x52092))+E(x52093,f2(x52092))+~E(f330(f330(f83(x52092),x52093),x52091),f2(x52092)) % 242.40/242.48 [5211]~P135(x52112)+E(x52111,f2(x52112))+E(x52113,f2(x52112))+~E(f330(f330(f83(x52112),x52113),x52111),f2(x52112)) % 242.40/242.48 [5586]~P121(x55863)+E(x55861,x55862)+E(x55861,f330(f81(x55863),x55862))+~E(f330(f330(f83(x55863),x55861),x55861),f330(f330(f83(x55863),x55862),x55862)) % 242.40/242.48 [5624]~P96(x56241)+E(f330(f81(x56241),x56242),x56243)+~E(f330(f330(f113(x56241),x56242),x56243),f246(x56241))+~E(f330(f330(f104(x56241),x56242),x56243),f191(x56241)) % 242.40/242.48 [5703]~P115(x57033)+E(x57031,x57032)+P1(f330(f330(f240(x57033),x57032),x57031))+P1(f330(f330(f240(x57033),x57031),x57032)) % 242.40/242.48 [5704]~P112(x57043)+E(x57041,x57042)+P1(f330(f330(f240(x57043),x57042),x57041))+P1(f330(f330(f240(x57043),x57041),x57042)) % 242.40/242.48 [5705]~E(x57052,x57053)+~P112(x57051)+P1(f330(f330(f240(x57051),x57052),x57053))+P1(f330(f330(f239(x57051),x57052),x57053)) % 242.40/242.48 [5964]~P113(x59643)+E(x59641,x59642)+~P1(f330(f330(f239(x59643),x59642),x59641))+P1(f330(f330(f240(x59643),x59642),x59641)) % 242.40/242.48 [5966]~P112(x59663)+E(x59661,x59662)+~P1(f330(f330(f239(x59663),x59661),x59662))+P1(f330(f330(f240(x59663),x59661),x59662)) % 242.40/242.48 [5972]~P113(x59723)+E(x59721,x59722)+~P1(f330(f330(f239(x59723),x59721),x59722))+P1(f330(f330(f240(x59723),x59721),x59722)) % 242.40/242.48 [6080]P149(x60801,x60802,x60803)+~P1(f330(x60801,x60802))+P1(f330(f330(f240(a1),x60803),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x60803)) % 242.40/242.48 [6130]P150(x61301,x61302,x61303)+~P1(f330(x61301,f2(a1)))+P1(f330(f330(f240(a1),x61303),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x61303)) % 242.40/242.48 [6135]~P2(x61351)+E(f330(f330(f113(x61351),x61352),f10(x61351,x61353)),x61352)+~P1(f330(f63(x61351),x61353))+~P1(f330(f330(f332(x61351),x61352),x61353)) % 242.40/242.48 [6136]~P2(x61361)+E(f330(f330(f104(x61361),x61362),f13(x61361,x61363)),x61362)+~P1(f330(f63(x61361),x61363))+~P1(f330(f330(f332(x61361),x61362),x61363)) % 242.40/242.48 [6173]~P2(x61731)+E(f330(f330(f113(x61731),x61732),f13(x61731,x61733)),f13(x61731,x61733))+~P1(f330(f63(x61731),x61733))+~P1(f330(f330(f332(x61731),x61732),x61733)) % 242.40/242.48 [6174]~P2(x61741)+E(f330(f330(f104(x61741),x61742),f10(x61741,x61743)),f10(x61741,x61743))+~P1(f330(f63(x61741),x61743))+~P1(f330(f330(f332(x61741),x61742),x61743)) % 242.40/242.48 [6175]~P112(x61751)+E(f330(f330(f237(x61751),x61752),f15(x61751,x61753)),f15(x61751,x61753))+~P1(f330(f63(x61751),x61753))+~P1(f330(f330(f332(x61751),x61752),x61753)) % 242.40/242.48 [6176]~P112(x61761)+E(f330(f330(f238(x61761),x61762),f14(x61761,x61763)),f14(x61761,x61763))+~P1(f330(f63(x61761),x61763))+~P1(f330(f330(f332(x61761),x61762),x61763)) % 242.40/242.48 [6217]E(x62171,x62172)+~P113(x62173)+~P1(f330(f330(f239(x62173),x62172),x62171))+~P1(f330(f330(f239(x62173),x62171),x62172)) % 242.40/242.48 [6360]~P110(x63601)+P1(f330(f330(f240(x63601),x63603),x63602))+~P1(f330(f330(f239(x63601),x63603),x63602))+P1(f330(f330(f239(x63601),x63602),x63603)) % 242.40/242.48 [6387]~P112(x63871)+~P1(f330(f63(x63871),x63873))+P1(f330(f330(f239(x63871),x63872),f14(x63871,x63873)))+~P1(f330(f330(f332(x63871),x63872),x63873)) % 242.40/242.48 [6432]~P112(x64321)+E(f330(f330(f237(x64321),x64322),f11(x64321,f238(x64321),x64323)),x64322)+~P1(f330(f63(x64321),x64323))+~P1(f330(f330(f332(x64321),x64322),x64323)) % 242.40/242.48 [6433]~P112(x64331)+E(f330(f330(f238(x64331),x64332),f12(x64331,f237(x64331),x64333)),x64332)+~P1(f330(f63(x64331),x64333))+~P1(f330(f330(f332(x64331),x64332),x64333)) % 242.40/242.48 [6572]E(x65721,x65722)+~E(f330(f330(f23(a930),x65721),x65723),f330(f330(f23(a930),x65722),x65723))+~P1(f330(f330(f239(a930),x65723),x65721))+~P1(f330(f330(f239(a930),x65723),x65722)) % 242.40/242.48 [6598]~P112(x65981)+~P1(f330(f63(x65981),x65982))+~P1(f330(f330(f332(x65981),x65983),x65982))+P1(f330(f330(f239(x65981),f15(x65981,x65982)),x65983)) % 242.40/242.48 [6664]P150(x66642,x66643,x66641)+E(x66641,f2(a1))+P1(f330(f330(f240(a1),x66641),f870(x66641,x66643,x66642)))+P1(f330(f330(f240(a1),f2(a1)),x66641)) % 242.40/242.48 [6665]P149(x66652,x66653,x66651)+E(x66651,f2(a1))+P1(f330(f330(f240(a1),x66651),f875(x66651,x66653,x66652)))+P1(f330(f330(f240(a1),f2(a1)),x66651)) % 242.40/242.48 [6666]~P112(x66661)+E(f330(f330(f237(x66661),x66662),f12(x66661,f237(x66661),x66663)),f12(x66661,f237(x66661),x66663))+~P1(f330(f63(x66661),x66663))+~P1(f330(f330(f332(x66661),x66662),x66663)) % 242.40/242.48 [6667]~P112(x66671)+E(f330(f330(f238(x66671),x66672),f11(x66671,f238(x66671),x66673)),f11(x66671,f238(x66671),x66673))+~P1(f330(f63(x66671),x66673))+~P1(f330(f330(f332(x66671),x66672),x66673)) % 242.40/242.48 [6673]~P1(f330(x66731,x66732))+P1(f330(x66731,f487(x66732,x66731,x66733)))+P1(f330(x66731,f2(a930)))+~P1(f330(f330(f240(a930),x66732),x66733)) % 242.40/242.48 [6729]~P1(f330(x67291,x67292))+~P1(f330(f63(x67293),x67292))+P1(f330(x67291,f880(x67291,x67292,x67293)))+P1(f330(x67291,f191(f937(x67293,a925)))) % 242.40/242.48 [6744]~P115(x67441)+~P98(x67441)+P1(f330(f330(f239(x67441),f330(f106(x67441),x67442)),f330(f106(x67441),x67443)))+~P1(f330(f330(f239(a1),x67442),x67443)) % 242.40/242.48 [6745]~P115(x67451)+~P98(x67451)+P1(f330(f330(f240(x67451),f330(f106(x67451),x67452)),f330(f106(x67451),x67453)))+~P1(f330(f330(f240(a1),x67452),x67453)) % 242.40/242.48 [6748]~P1(f330(x67481,x67483))+~P1(f330(f63(x67482),x67483))+P1(f330(f63(x67482),f880(x67481,x67483,x67482)))+P1(f330(x67481,f191(f937(x67482,a925)))) % 242.40/242.48 [6781]P149(x67811,x67812,x67813)+~P1(f330(x67811,x67812))+P1(f330(f330(f240(a1),x67813),f875(x67813,x67812,x67811)))+P1(f330(f330(f240(a1),f2(a1)),x67813)) % 242.40/242.48 [6819]P150(x68191,x68192,x68193)+P1(f330(f330(f240(a1),x68193),f870(x68193,x68192,x68191)))+~P1(f330(x68191,f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x68193)) % 242.40/242.48 [6849]~P111(x68491)+~P99(x68491)+E(f330(f330(f237(x68491),f330(f106(x68491),x68492)),f330(f106(x68491),x68493)),f330(f106(x68491),x68493))+P1(f330(f330(f239(x68491),f330(f106(x68491),x68492)),f330(f106(x68491),x68493))) % 242.40/242.48 [6850]~P111(x68501)+~P99(x68501)+E(f330(f330(f238(x68501),f330(f106(x68501),x68502)),f330(f106(x68501),x68503)),f330(f106(x68501),x68502))+P1(f330(f330(f239(x68501),f330(f106(x68501),x68502)),f330(f106(x68501),x68503))) % 242.40/242.48 [6906]P150(x69062,x69063,x69061)+E(x69061,f2(a1))+~P1(f330(x69062,f874(x69061,x69063,x69062)))+P1(f330(f330(f240(a1),f2(a1)),x69061)) % 242.40/242.48 [6907]P149(x69072,x69073,x69071)+E(x69071,f2(a1))+~P1(f330(x69072,f875(x69071,x69073,x69072)))+P1(f330(f330(f240(a1),f2(a1)),x69071)) % 242.40/242.48 [6911]P1(f330(x69111,x69112))+~P1(f330(f63(x69113),x69112))+P1(f330(x69111,f783(x69111,x69112,x69113)))+~P1(f330(x69111,f191(f937(x69113,a925)))) % 242.40/242.48 [6931]P1(f330(x69311,x69312))+P1(f330(f63(x69313),f783(x69311,x69312,x69313)))+~P1(f330(f63(x69313),x69312))+~P1(f330(x69311,f191(f937(x69313,a925)))) % 242.40/242.48 [6993]P149(x69931,x69932,x69933)+~P1(f330(x69931,x69932))+~P1(f330(x69931,f875(x69933,x69932,x69931)))+P1(f330(f330(f240(a1),f2(a1)),x69933)) % 242.40/242.48 [7023]P150(x70231,x70232,x70233)+~P1(f330(x70231,f874(x70233,x70232,x70231)))+~P1(f330(x70231,f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x70233)) % 242.40/242.48 [7127]~P98(x71273)+~P115(x71273)+~P1(f330(f330(f239(x71273),f330(f106(x71273),x71271)),f330(f106(x71273),x71272)))+P1(f330(f330(f239(a1),x71271),x71272)) % 242.40/242.48 [7128]~P98(x71283)+~P115(x71283)+~P1(f330(f330(f240(x71283),f330(f106(x71283),x71281)),f330(f106(x71283),x71282)))+P1(f330(f330(f240(a1),x71281),x71282)) % 242.40/242.48 [7158]~P112(x71581)+~P16(x71581,x71583)+P16(x71581,f330(f330(f154(x71581),x71582),x71583))+~P1(f330(f330(f239(x71581),x71582),f731(x71583,x71582,x71581))) % 242.40/242.48 [7159]~P112(x71591)+~P16(x71591,x71593)+P16(x71591,f330(f330(f154(x71591),x71592),x71593))+~P1(f330(f330(f239(x71591),x71592),f733(x71593,x71592,x71591))) % 242.40/242.48 [7160]~P112(x71601)+~P16(x71601,x71603)+P16(x71601,f330(f330(f154(x71601),x71602),x71603))+~P1(f330(f330(f239(x71601),x71602),f772(x71602,x71603,x71601))) % 242.40/242.48 [7244]P150(x72442,x72443,x72441)+E(x72441,f2(a1))+P1(f330(f330(f240(a1),x72441),f2(a1)))+P1(f330(f330(f240(a1),f871(x72441,x72443,x72442)),x72441)) % 242.40/242.48 [7245]P149(x72452,x72453,x72451)+E(x72451,f2(a1))+P1(f330(f330(f240(a1),x72451),f2(a1)))+P1(f330(f330(f240(a1),f876(x72451,x72453,x72452)),x72451)) % 242.40/242.48 [7281]P150(x72812,x72813,x72811)+E(x72811,f2(a1))+P1(f330(f330(f239(a1),f870(x72811,x72813,x72812)),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x72811)) % 242.40/242.48 [7282]P149(x72822,x72823,x72821)+E(x72821,f2(a1))+P1(f330(f330(f239(a1),f875(x72821,x72823,x72822)),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x72821)) % 242.40/242.48 [7307]~P112(x73071)+~P16(x73071,x73073)+E(f330(f330(f151(x73071,x73071,f5(x73071)),x73072),f173(x73071,x73072,x73073)),x73073)+~P1(f330(f330(f332(x73071),x73072),f330(f175(x73071),x73073))) % 242.40/242.48 [7354]P149(x73541,x73542,x73543)+~P1(f330(x73541,x73542))+P1(f330(f330(f240(a1),x73543),f2(a1)))+P1(f330(f330(f240(a1),f876(x73543,x73542,x73541)),x73543)) % 242.40/242.48 [7360]~P111(x73601)+~P99(x73601)+E(f330(f330(f237(x73601),f330(f106(x73601),x73602)),f330(f106(x73601),x73603)),f330(f106(x73601),x73602))+~P1(f330(f330(f239(x73601),f330(f106(x73601),x73602)),f330(f106(x73601),x73603))) % 242.40/242.48 [7361]~P111(x73611)+~P99(x73611)+E(f330(f330(f238(x73611),f330(f106(x73611),x73612)),f330(f106(x73611),x73613)),f330(f106(x73611),x73613))+~P1(f330(f330(f239(x73611),f330(f106(x73611),x73612)),f330(f106(x73611),x73613))) % 242.40/242.48 [7375]P150(x73751,x73752,x73753)+~P1(f330(x73751,f2(a1)))+P1(f330(f330(f240(a1),x73753),f2(a1)))+P1(f330(f330(f240(a1),f871(x73753,x73752,x73751)),x73753)) % 242.40/242.48 [7383]P149(x73831,x73832,x73833)+~P1(f330(x73831,x73832))+P1(f330(f330(f239(a1),f875(x73833,x73832,x73831)),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x73833)) % 242.40/242.48 [7407]P150(x74071,x74072,x74073)+~P1(f330(x74071,f2(a1)))+P1(f330(f330(f239(a1),f870(x74073,x74072,x74071)),f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x74073)) % 242.40/242.48 [7434]~P1(f330(x74341,x74342))+P1(f330(x74341,f2(a930)))+~P1(f330(f330(f240(a930),x74342),x74343))+P1(f330(f330(f240(a930),f487(x74342,x74341,x74343)),x74343)) % 242.40/242.48 [7451]~P112(x74511)+~P16(x74511,x74513)+P16(x74511,f330(f330(f154(x74511),x74512),x74513))+P1(f330(f330(f332(x74511),f731(x74513,x74512,x74511)),f330(f175(x74511),x74513))) % 242.40/242.48 [7452]~P112(x74521)+~P16(x74521,x74523)+P16(x74521,f330(f330(f154(x74521),x74522),x74523))+P1(f330(f330(f332(x74521),f733(x74523,x74522,x74521)),f330(f175(x74521),x74523))) % 242.40/242.48 [7453]~P112(x74531)+~P16(x74531,x74533)+P16(x74531,f330(f330(f154(x74531),x74532),x74533))+P1(f330(f330(f332(x74531),f772(x74532,x74533,x74531)),f330(f175(x74531),x74533))) % 242.40/242.48 [7573]~P112(x75731)+~P8(x75731)+~P1(f330(f330(f240(x75731),x75733),f39(x75731,x75732)))+P1(f330(f330(f332(x75731),f608(x75732,x75733,x75731)),x75732)) % 242.40/242.48 [7735]~P112(x77351)+~P8(x77351)+~P1(f330(f330(f240(x77351),f40(x77351,x77353)),x77352))+P1(f330(f330(f332(x77351),f632(x77352,x77353,x77351)),x77353)) % 242.40/242.48 [7736]~P112(x77361)+~P8(x77361)+~P1(f330(f330(f240(x77361),f40(x77361,x77363)),x77362))+P1(f330(f330(f240(x77361),f632(x77362,x77363,x77361)),x77362)) % 242.40/242.48 [7749]P150(x77492,x77493,x77491)+E(x77491,f2(a1))+P1(f330(f330(f240(a1),x77491),f870(x77491,x77493,x77492)))+P1(f330(f330(f240(a1),f871(x77491,x77493,x77492)),x77491)) % 242.40/242.48 [7750]P149(x77502,x77503,x77501)+E(x77501,f2(a1))+P1(f330(f330(f240(a1),x77501),f875(x77501,x77503,x77502)))+P1(f330(f330(f240(a1),f876(x77501,x77503,x77502)),x77501)) % 242.40/242.48 [7839]P150(x78393,x78392,x78391)+E(x78391,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78391),f874(x78391,x78392,x78393))),f870(x78391,x78392,x78393)),x78392)+P1(f330(f330(f240(a1),f2(a1)),x78391)) % 242.40/242.48 [7840]P149(x78403,x78402,x78401)+E(x78401,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x78401),f878(x78401,x78402,x78403))),f875(x78401,x78402,x78403)),x78402)+P1(f330(f330(f240(a1),f2(a1)),x78401)) % 242.40/242.48 [7842]~P129(x78421)+~P1(f330(f330(f239(x78421),x78423),f2(x78421)))+P1(f330(f330(f239(x78421),f330(f330(f83(x78421),x78422),x78423)),f2(x78421)))+~P1(f330(f330(f239(x78421),f2(x78421)),x78422)) % 242.40/242.48 [7843]~P129(x78431)+~P1(f330(f330(f239(x78431),x78432),f2(x78431)))+P1(f330(f330(f239(x78431),f330(f330(f83(x78431),x78432),x78433)),f2(x78431)))+~P1(f330(f330(f239(x78431),f2(x78431)),x78433)) % 242.40/242.48 [7845]~P136(x78451)+~P1(f330(f330(f239(x78451),x78453),f2(x78451)))+P1(f330(f330(f239(x78451),f330(f330(f83(x78451),x78452),x78453)),f2(x78451)))+~P1(f330(f330(f239(x78451),f2(x78451)),x78452)) % 242.40/242.48 [7847]~P136(x78471)+~P1(f330(f330(f239(x78471),x78472),f2(x78471)))+P1(f330(f330(f239(x78471),f330(f330(f83(x78471),x78472),x78473)),f2(x78471)))+~P1(f330(f330(f239(x78471),f2(x78471)),x78473)) % 242.40/242.48 [7848]~P73(x78481)+~P1(f330(f330(f239(x78481),x78482),f2(x78481)))+P1(f330(f330(f239(x78481),f330(f330(f293(x78481),x78482),x78483)),f2(x78481)))+~P1(f330(f330(f240(x78481),f2(x78481)),x78483)) % 242.40/242.48 [7849]~P73(x78491)+~P1(f330(f330(f240(x78491),x78493),f2(x78491)))+P1(f330(f330(f239(x78491),f330(f330(f293(x78491),x78492),x78493)),f2(x78491)))+~P1(f330(f330(f239(x78491),f2(x78491)),x78492)) % 242.40/242.48 [7850]~P72(x78501)+~P1(f330(f330(f239(x78501),x78503),f2(x78501)))+P1(f330(f330(f239(x78501),f330(f330(f293(x78501),x78502),x78503)),f2(x78501)))+~P1(f330(f330(f239(x78501),f2(x78501)),x78502)) % 242.40/242.48 [7851]~P72(x78511)+~P1(f330(f330(f239(x78511),x78512),f2(x78511)))+P1(f330(f330(f239(x78511),f330(f330(f293(x78511),x78512),x78513)),f2(x78511)))+~P1(f330(f330(f239(x78511),f2(x78511)),x78513)) % 242.40/242.48 [7853]~P131(x78531)+~P1(f330(f330(f240(x78531),x78533),f2(x78531)))+P1(f330(f330(f240(x78531),f330(f330(f83(x78531),x78532),x78533)),f2(x78531)))+~P1(f330(f330(f240(x78531),f2(x78531)),x78532)) % 242.40/242.48 [7854]~P131(x78541)+~P1(f330(f330(f240(x78541),x78542),f2(x78541)))+P1(f330(f330(f240(x78541),f330(f330(f83(x78541),x78542),x78543)),f2(x78541)))+~P1(f330(f330(f240(x78541),f2(x78541)),x78543)) % 242.40/242.48 [7855]~P73(x78551)+~P1(f330(f330(f240(x78551),x78553),f2(x78551)))+P1(f330(f330(f240(x78551),f330(f330(f293(x78551),x78552),x78553)),f2(x78551)))+~P1(f330(f330(f240(x78551),f2(x78551)),x78552)) % 242.40/242.48 [7856]~P73(x78561)+~P1(f330(f330(f240(x78561),x78562),f2(x78561)))+P1(f330(f330(f240(x78561),f330(f330(f293(x78561),x78562),x78563)),f2(x78561)))+~P1(f330(f330(f240(x78561),f2(x78561)),x78563)) % 242.40/242.48 [7857]~P72(x78571)+~P1(f330(f330(f240(x78571),x78573),f2(x78571)))+P1(f330(f330(f240(x78571),f330(f330(f293(x78571),x78572),x78573)),f2(x78571)))+~P1(f330(f330(f240(x78571),f2(x78571)),x78572)) % 242.40/242.48 [7858]~P72(x78581)+~P1(f330(f330(f240(x78581),x78582),f2(x78581)))+P1(f330(f330(f240(x78581),f330(f330(f293(x78581),x78582),x78583)),f2(x78581)))+~P1(f330(f330(f240(x78581),f2(x78581)),x78583)) % 242.40/242.48 [7874]P149(x78741,x78742,x78743)+~P1(f330(x78741,x78742))+P1(f330(f330(f240(a1),x78743),f875(x78743,x78742,x78741)))+P1(f330(f330(f240(a1),f876(x78743,x78742,x78741)),x78743)) % 242.40/242.48 [7887]P150(x78871,x78872,x78873)+P1(f330(f330(f240(a1),x78873),f870(x78873,x78872,x78871)))+~P1(f330(x78871,f2(a1)))+P1(f330(f330(f240(a1),f871(x78873,x78872,x78871)),x78873)) % 242.40/242.48 [7937]P150(x79372,x79373,x79371)+E(x79371,f2(a1))+~P1(f330(x79372,f874(x79371,x79373,x79372)))+P1(f330(f330(f240(a1),f871(x79371,x79373,x79372)),x79371)) % 242.40/242.48 [7938]P149(x79382,x79383,x79381)+E(x79381,f2(a1))+~P1(f330(x79382,f875(x79381,x79383,x79382)))+P1(f330(f330(f240(a1),f876(x79381,x79383,x79382)),x79381)) % 242.40/242.48 [7948]P149(x79483,x79482,x79481)+~P1(f330(x79483,x79482))+E(f330(f330(f82(a1),f330(f330(f83(a1),x79481),f878(x79481,x79482,x79483))),f875(x79481,x79482,x79483)),x79482)+P1(f330(f330(f240(a1),f2(a1)),x79481)) % 242.40/242.48 [7964]P150(x79643,x79642,x79641)+E(f330(f330(f82(a1),f330(f330(f83(a1),x79641),f874(x79641,x79642,x79643))),f870(x79641,x79642,x79643)),x79642)+~P1(f330(x79643,f2(a1)))+P1(f330(f330(f240(a1),f2(a1)),x79641)) % 242.40/242.48 [7992]~P1(f330(x79921,x79923))+~P1(f330(f63(x79922),x79923))+P1(f330(f330(f332(x79922),f881(x79921,x79923,x79922)),f880(x79921,x79923,x79922)))+P1(f330(x79921,f191(f937(x79922,a925)))) % 242.40/242.48 [8003]P149(x80031,x80032,x80033)+~P1(f330(x80031,x80032))+~P1(f330(x80031,f875(x80033,x80032,x80031)))+P1(f330(f330(f240(a1),f876(x80033,x80032,x80031)),x80033)) % 242.40/242.48 [8009]P150(x80091,x80092,x80093)+~P1(f330(x80091,f874(x80093,x80092,x80091)))+~P1(f330(x80091,f2(a1)))+P1(f330(f330(f240(a1),f871(x80093,x80092,x80091)),x80093)) % 242.40/242.48 [8116]~P129(x81161)+~P1(f330(f330(f239(x81161),f330(f330(f83(x81161),x81163),x81162)),f2(x81161)))+P1(f330(f330(f239(x81161),x81162),f2(x81161)))+P1(f330(f330(f239(x81161),f2(x81161)),x81162)) % 242.40/242.48 [8117]~P129(x81171)+~P1(f330(f330(f239(x81171),f330(f330(f83(x81171),x81172),x81173)),f2(x81171)))+P1(f330(f330(f239(x81171),x81172),f2(x81171)))+P1(f330(f330(f239(x81171),f2(x81171)),x81172)) % 242.40/242.48 [8118]~P72(x81181)+~P1(f330(f330(f239(x81181),f330(f330(f293(x81181),x81183),x81182)),f2(x81181)))+P1(f330(f330(f239(x81181),x81182),f2(x81181)))+P1(f330(f330(f239(x81181),f2(x81181)),x81182)) % 242.40/242.48 [8119]~P72(x81191)+~P1(f330(f330(f239(x81191),f330(f330(f293(x81191),x81192),x81193)),f2(x81191)))+P1(f330(f330(f239(x81191),x81192),f2(x81191)))+P1(f330(f330(f239(x81191),f2(x81191)),x81192)) % 242.40/242.48 [8120]~P72(x81201)+~P1(f330(f330(f240(x81201),f330(f330(f293(x81201),x81203),x81202)),f2(x81201)))+P1(f330(f330(f240(x81201),x81202),f2(x81201)))+P1(f330(f330(f240(x81201),f2(x81201)),x81202)) % 242.40/242.48 [8121]~P72(x81211)+~P1(f330(f330(f240(x81211),f330(f330(f293(x81211),x81212),x81213)),f2(x81211)))+P1(f330(f330(f240(x81211),x81212),f2(x81211)))+P1(f330(f330(f240(x81211),f2(x81211)),x81212)) % 242.40/242.48 [8145]~P129(x81451)+~P1(f330(f330(f239(x81451),f330(f330(f83(x81451),x81452),x81453)),f2(x81451)))+P1(f330(f330(f239(x81451),f2(x81451)),x81452))+P1(f330(f330(f239(x81451),f2(x81451)),x81453)) % 242.40/242.48 [8146]~P72(x81461)+~P1(f330(f330(f239(x81461),f330(f330(f293(x81461),x81462),x81463)),f2(x81461)))+P1(f330(f330(f239(x81461),f2(x81461)),x81462))+P1(f330(f330(f239(x81461),f2(x81461)),x81463)) % 242.40/242.48 [8147]~P72(x81471)+~P1(f330(f330(f240(x81471),f330(f330(f293(x81471),x81472),x81473)),f2(x81471)))+P1(f330(f330(f240(x81471),f2(x81471)),x81472))+P1(f330(f330(f240(x81471),f2(x81471)),x81473)) % 242.40/242.48 [8169]P150(x81692,x81693,x81691)+E(x81691,f2(a1))+P1(f330(f330(f239(a1),f870(x81691,x81693,x81692)),f2(a1)))+P1(f330(f330(f240(a1),f871(x81691,x81693,x81692)),x81691)) % 242.40/242.48 [8170]P149(x81702,x81703,x81701)+E(x81701,f2(a1))+P1(f330(f330(f239(a1),f875(x81701,x81703,x81702)),f2(a1)))+P1(f330(f330(f240(a1),f876(x81701,x81703,x81702)),x81701)) % 242.40/242.48 [8177]~P127(x81771)+~P1(f330(f330(f240(x81771),x81772),f80(x81771)))+P1(f330(f330(f240(x81771),f330(f330(f248(x81771),x81772),f330(a115,x81773))),f80(x81771)))+~P1(f330(f330(f240(x81771),f2(x81771)),x81772)) % 242.40/242.48 [8232]~P112(x82321)+~E(x82323,f116(x82321))+~P16(x82321,f330(f171(x82321),x82323))+E(f330(f145(x82321,x82321,f330(f7(x82321,x82321,x82321),f238(x82321)),x82322),f330(f171(x82321),x82323)),x82322) % 242.40/242.48 [8235]P149(x82351,x82352,x82353)+~P1(f330(x82351,x82352))+P1(f330(f330(f239(a1),f875(x82353,x82352,x82351)),f2(a1)))+P1(f330(f330(f240(a1),f876(x82353,x82352,x82351)),x82353)) % 242.40/242.48 [8245]P150(x82451,x82452,x82453)+~P1(f330(x82451,f2(a1)))+P1(f330(f330(f239(a1),f870(x82453,x82452,x82451)),f2(a1)))+P1(f330(f330(f240(a1),f871(x82453,x82452,x82451)),x82453)) % 242.40/242.48 [8468]P150(x84683,x84682,x84681)+E(x84681,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84681),f874(x84681,x84682,x84683))),f870(x84681,x84682,x84683)),x84682)+P1(f330(f330(f240(a1),f871(x84681,x84682,x84683)),x84681)) % 242.40/242.48 [8469]P149(x84693,x84692,x84691)+E(x84691,f2(a1))+E(f330(f330(f82(a1),f330(f330(f83(a1),x84691),f878(x84691,x84692,x84693))),f875(x84691,x84692,x84693)),x84692)+P1(f330(f330(f240(a1),f876(x84691,x84692,x84693)),x84691)) % 242.40/242.48 [8505]P149(x85053,x85052,x85051)+~P1(f330(x85053,x85052))+E(f330(f330(f82(a1),f330(f330(f83(a1),x85051),f878(x85051,x85052,x85053))),f875(x85051,x85052,x85053)),x85052)+P1(f330(f330(f240(a1),f876(x85051,x85052,x85053)),x85051)) % 242.40/242.48 [8506]~P74(x85061)+~P80(x85061)+~P45(x85063)+E(f330(f330(f6(a930,x85061),f330(f330(f8(a1,x85061,a930),x85062),f103(a1))),f330(f313(a1,a930,a107),x85063)),f330(f330(f6(a1,x85061),x85062),x85063)) % 242.40/242.48 [8507]~P74(x85071)+~P80(x85071)+~P45(x85073)+E(f330(f330(f9(a930,x85071),f330(f330(f8(a1,x85071,a930),x85072),f103(a1))),f330(f313(a1,a930,a107),x85073)),f330(f330(f9(a1,x85071),x85072),x85073)) % 242.40/242.48 [8516]P150(x85163,x85162,x85161)+E(f330(f330(f82(a1),f330(f330(f83(a1),x85161),f874(x85161,x85162,x85163))),f870(x85161,x85162,x85163)),x85162)+~P1(f330(x85163,f2(a1)))+P1(f330(f330(f240(a1),f871(x85161,x85162,x85163)),x85161)) % 242.40/242.48 [8539]~E(x85392,f2(a930))+~E(f330(f255(a930,a930),x85393),f2(a930))+~E(x85391,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x85393)),x85392)),f330(f260(a930,a930),x85393)))+P1(f330(f50(x85391,x85392),x85393)) % 242.40/242.48 [8597]P1(f330(x85971,x85972))+~P1(f330(f330(f332(x85973),f787(x85971,x85972,x85973)),f783(x85971,x85972,x85973)))+~P1(f330(f63(x85973),x85972))+~P1(f330(x85971,f191(f937(x85973,a925)))) % 242.40/242.48 [9240]P1(f330(x92401,x92402))+~P1(f330(f63(x92403),x92402))+~P1(f330(x92401,f330(f330(f312(x92403),f787(x92401,x92402,x92403)),f783(x92401,x92402,x92403))))+~P1(f330(x92401,f191(f937(x92403,a925)))) % 242.40/242.48 [9480]P1(f330(f330(f239(a1),x94801),f2(a1)))+~P1(f330(f330(f240(a1),f330(f330(f82(a1),f330(f330(f83(a1),x94803),x94801)),x94802)),f2(a1)))+~P1(f330(f330(f239(a1),f2(a1)),x94802))+~P1(f330(f330(f240(a1),f2(a1)),x94803)) % 242.40/242.48 [6034]~P2(x60342)+E(x60341,f191(f937(x60342,a925)))+~P1(f330(f63(x60342),x60341))+E(f10(x60342,f330(f330(f312(x60342),x60343),x60341)),f330(f330(f104(x60342),x60343),f10(x60342,x60341))) % 242.40/242.48 [6035]~P2(x60352)+E(x60351,f191(f937(x60352,a925)))+~P1(f330(f63(x60352),x60351))+E(f13(x60352,f330(f330(f312(x60352),x60353),x60351)),f330(f330(f113(x60352),x60353),f13(x60352,x60351))) % 242.40/242.48 [6036]~P112(x60362)+E(x60361,f191(f937(x60362,a925)))+~P1(f330(f63(x60362),x60361))+E(f14(x60362,f330(f330(f312(x60362),x60363),x60361)),f330(f330(f238(x60362),x60363),f14(x60362,x60361))) % 242.40/242.48 [6037]~P112(x60372)+E(x60371,f191(f937(x60372,a925)))+~P1(f330(f63(x60372),x60371))+E(f15(x60372,f330(f330(f312(x60372),x60373),x60371)),f330(f330(f237(x60372),x60373),f15(x60372,x60371))) % 242.40/242.48 [6357]~P129(x63571)+~E(x63573,f2(x63571))+~E(x63572,f2(x63571))+E(f330(f330(f82(x63571),f330(f330(f83(x63571),x63572),x63572)),f330(f330(f83(x63571),x63573),x63573)),f2(x63571)) % 242.40/242.48 [6425]~P100(x64252)+E(x64251,f191(f937(x64252,a925)))+~P1(f330(f63(x64252),x64251))+E(f330(f65(x64252,f83(x64252)),f330(f330(f312(x64252),x64253),x64251)),f330(f330(f83(x64252),x64253),f330(f65(x64252,f83(x64252)),x64251))) % 242.40/242.48 [6549]~P112(x65492)+E(x65491,f191(f937(x65492,a925)))+~P1(f330(f63(x65492),x65491))+E(f11(x65492,f238(x65492),f330(f330(f312(x65492),x65493),x65491)),f330(f330(f238(x65492),x65493),f11(x65492,f238(x65492),x65491))) % 242.40/242.48 [6550]~P112(x65502)+E(x65501,f191(f937(x65502,a925)))+~P1(f330(f63(x65502),x65501))+E(f12(x65502,f237(x65502),f330(f330(f312(x65502),x65503),x65501)),f330(f330(f237(x65502),x65503),f12(x65502,f237(x65502),x65501))) % 242.40/242.48 [7057]~P78(x70571)+~P1(f330(f63(x70571),x70573))+E(f330(f65(x70571,f83(x70571)),f330(f330(f312(x70571),x70572),x70573)),f330(f330(f66(x70571,x70571,f83(x70571)),x70572),x70573))+P1(f330(f330(f332(x70571),x70572),x70573)) % 242.40/242.48 [7135]~E(f330(f330(f82(a1),x71352),f330(f330(f83(a1),x71353),x71351)),x71353)+~P1(f330(f330(f240(a1),f2(a1)),x71353))+P1(f330(f330(f239(a1),f80(a1)),x71351))+~P1(f330(f330(f240(a1),x71352),x71353)) % 242.40/242.48 [7165]~E(f330(f330(f82(a1),x71652),f330(f330(f83(a1),x71653),x71651)),x71653)+P1(f330(f330(f239(a1),x71651),f80(a1)))+~P1(f330(f330(f239(a1),f2(a1)),x71652))+~P1(f330(f330(f240(a1),f2(a1)),x71653)) % 242.40/242.48 [7181]E(x71811,f2(a930))+~P1(f330(f50(x71813,x71811),x71812))+~P1(f330(f330(f240(a930),f2(a930)),x71811))+P1(f330(f330(f240(a930),f330(f260(a930,a930),x71812)),x71811)) % 242.40/242.48 [7212]~P140(x72121)+~P1(f330(f330(f239(x72121),x72122),f2(x72121)))+~P1(f330(f330(f239(x72121),x72123),f2(x72121)))+E(f330(f330(f83(x72121),f330(f77(x72121),x72122)),f330(f77(x72121),x72123)),f330(f77(x72121),f330(f330(f83(x72121),x72122),x72123))) % 242.40/242.48 [7258]~P140(x72581)+~P1(f330(f330(f239(x72581),x72582),f2(x72581)))+E(f330(f330(f83(x72581),f330(f77(x72581),x72582)),f330(f77(x72581),x72583)),f330(f77(x72581),f330(f330(f83(x72581),x72582),x72583)))+~P1(f330(f330(f239(x72581),f2(x72581)),x72583)) % 242.40/242.48 [7259]~P140(x72591)+~P1(f330(f330(f239(x72591),x72593),f2(x72591)))+E(f330(f330(f83(x72591),f330(f77(x72591),x72592)),f330(f77(x72591),x72593)),f330(f77(x72591),f330(f330(f83(x72591),x72592),x72593)))+~P1(f330(f330(f239(x72591),f2(x72591)),x72592)) % 242.40/242.48 [7315]~P140(x73151)+E(f330(f330(f83(x73151),f330(f77(x73151),x73152)),f330(f77(x73151),x73153)),f330(f77(x73151),f330(f330(f83(x73151),x73152),x73153)))+~P1(f330(f330(f239(x73151),f2(x73151)),x73152))+~P1(f330(f330(f239(x73151),f2(x73151)),x73153)) % 242.40/242.48 [7331]~P129(x73311)+~P1(f330(f330(f239(x73311),x73313),f2(x73311)))+~P1(f330(f330(f239(x73311),x73312),f2(x73311)))+P1(f330(f330(f239(x73311),f2(x73311)),f330(f330(f83(x73311),x73312),x73313))) % 242.40/242.48 [7333]~P137(x73331)+~P1(f330(f330(f239(x73331),x73333),f2(x73331)))+~P1(f330(f330(f239(x73331),x73332),f2(x73331)))+P1(f330(f330(f239(x73331),f2(x73331)),f330(f330(f83(x73331),x73332),x73333))) % 242.40/242.48 [7334]~P73(x73341)+~P1(f330(f330(f240(x73341),x73343),f2(x73341)))+~P1(f330(f330(f239(x73341),x73342),f2(x73341)))+P1(f330(f330(f239(x73341),f2(x73341)),f330(f330(f293(x73341),x73342),x73343))) % 242.40/242.48 [7335]~P72(x73351)+~P1(f330(f330(f239(x73351),x73353),f2(x73351)))+~P1(f330(f330(f239(x73351),x73352),f2(x73351)))+P1(f330(f330(f239(x73351),f2(x73351)),f330(f330(f293(x73351),x73352),x73353))) % 242.40/242.48 [7336]~P129(x73361)+~P1(f330(f330(f240(x73361),x73363),f2(x73361)))+~P1(f330(f330(f240(x73361),x73362),f2(x73361)))+P1(f330(f330(f240(x73361),f2(x73361)),f330(f330(f83(x73361),x73362),x73363))) % 242.40/242.48 [7337]~P73(x73371)+~P1(f330(f330(f240(x73371),x73373),f2(x73371)))+~P1(f330(f330(f240(x73371),x73372),f2(x73371)))+P1(f330(f330(f240(x73371),f2(x73371)),f330(f330(f293(x73371),x73372),x73373))) % 242.40/242.48 [7338]~P72(x73381)+~P1(f330(f330(f240(x73381),x73383),f2(x73381)))+~P1(f330(f330(f240(x73381),x73382),f2(x73381)))+P1(f330(f330(f240(x73381),f2(x73381)),f330(f330(f293(x73381),x73382),x73383))) % 242.40/242.48 [7339]~P127(x73391)+~P1(f330(f330(f240(a930),f2(a930)),x73393))+~P1(f330(f330(f240(x73391),f80(x73391)),x73392))+P1(f330(f330(f240(x73391),f80(x73391)),f330(f330(f248(x73391),x73392),x73393))) % 242.40/242.48 [7436]~P129(x74361)+~P1(f330(f330(f239(x74361),f2(x74361)),x74363))+~P1(f330(f330(f239(x74361),f2(x74361)),x74362))+P1(f330(f330(f239(x74361),f2(x74361)),f330(f330(f83(x74361),x74362),x74363))) % 242.40/242.48 [7437]~P136(x74371)+~P1(f330(f330(f239(x74371),f2(x74371)),x74373))+~P1(f330(f330(f239(x74371),f2(x74371)),x74372))+P1(f330(f330(f239(x74371),f2(x74371)),f330(f330(f83(x74371),x74372),x74373))) % 242.40/242.48 [7438]~P137(x74381)+~P1(f330(f330(f239(x74381),f2(x74381)),x74383))+~P1(f330(f330(f239(x74381),f2(x74381)),x74382))+P1(f330(f330(f239(x74381),f2(x74381)),f330(f330(f83(x74381),x74382),x74383))) % 242.40/242.48 [7439]~P73(x74391)+~P1(f330(f330(f240(x74391),f2(x74391)),x74393))+~P1(f330(f330(f239(x74391),f2(x74391)),x74392))+P1(f330(f330(f239(x74391),f2(x74391)),f330(f330(f293(x74391),x74392),x74393))) % 242.40/242.48 [7440]~P72(x74401)+~P1(f330(f330(f239(x74401),f2(x74401)),x74403))+~P1(f330(f330(f239(x74401),f2(x74401)),x74402))+P1(f330(f330(f239(x74401),f2(x74401)),f330(f330(f293(x74401),x74402),x74403))) % 242.40/242.48 [7443]~P89(x74431)+~P1(f330(f330(f240(x74431),f2(x74431)),x74433))+~P1(f330(f330(f240(x74431),f2(x74431)),x74432))+P1(f330(f330(f240(x74431),f2(x74431)),f330(f330(f82(x74431),x74432),x74433))) % 242.40/242.48 [7444]~P131(x74441)+~P1(f330(f330(f240(x74441),f2(x74441)),x74443))+~P1(f330(f330(f240(x74441),f2(x74441)),x74442))+P1(f330(f330(f240(x74441),f2(x74441)),f330(f330(f83(x74441),x74442),x74443))) % 242.40/242.48 [7445]~P73(x74451)+~P1(f330(f330(f240(x74451),f2(x74451)),x74453))+~P1(f330(f330(f240(x74451),f2(x74451)),x74452))+P1(f330(f330(f240(x74451),f2(x74451)),f330(f330(f293(x74451),x74452),x74453))) % 242.40/242.48 [7446]~P72(x74461)+~P1(f330(f330(f240(x74461),f2(x74461)),x74463))+~P1(f330(f330(f240(x74461),f2(x74461)),x74462))+P1(f330(f330(f240(x74461),f2(x74461)),f330(f330(f293(x74461),x74462),x74463))) % 242.40/242.48 [7447]~P127(x74471)+~P1(f330(f330(f240(x74471),f80(x74471)),x74473))+~P1(f330(f330(f240(x74471),f80(x74471)),x74472))+P1(f330(f330(f240(x74471),f80(x74471)),f330(f330(f83(x74471),x74472),x74473))) % 242.40/242.48 [7528]~P2(x75281)+~P1(f330(f63(x75281),x75283))+E(f10(x75281,f330(f330(f312(x75281),x75282),x75283)),x75282)+~E(f330(f330(f23(f937(x75281,a925)),x75283),f330(f330(f312(x75281),x75282),f191(f937(x75281,a925)))),f191(f937(x75281,a925))) % 242.40/242.48 [7529]~P2(x75291)+~P1(f330(f63(x75291),x75293))+E(f13(x75291,f330(f330(f312(x75291),x75292),x75293)),x75292)+~E(f330(f330(f23(f937(x75291,a925)),x75293),f330(f330(f312(x75291),x75292),f191(f937(x75291,a925)))),f191(f937(x75291,a925))) % 242.40/242.48 [7530]~P112(x75301)+~P1(f330(f63(x75301),x75303))+E(f14(x75301,f330(f330(f312(x75301),x75302),x75303)),x75302)+~E(f330(f330(f23(f937(x75301,a925)),x75303),f330(f330(f312(x75301),x75302),f191(f937(x75301,a925)))),f191(f937(x75301,a925))) % 242.40/242.48 [7531]~P112(x75311)+~P1(f330(f63(x75311),x75313))+E(f15(x75311,f330(f330(f312(x75311),x75312),x75313)),x75312)+~E(f330(f330(f23(f937(x75311,a925)),x75313),f330(f330(f312(x75311),x75312),f191(f937(x75311,a925)))),f191(f937(x75311,a925))) % 242.40/242.48 [7533]~P129(x75331)+P1(f330(f330(f239(x75331),x75332),f2(x75331)))+P1(f330(f330(f239(x75331),f2(x75331)),x75333))+~P1(f330(f330(f239(x75331),f2(x75331)),f330(f330(f83(x75331),x75333),x75332))) % 242.40/242.48 [7534]~P129(x75341)+P1(f330(f330(f239(x75341),x75342),f2(x75341)))+P1(f330(f330(f239(x75341),f2(x75341)),x75343))+~P1(f330(f330(f239(x75341),f2(x75341)),f330(f330(f83(x75341),x75342),x75343))) % 242.40/242.48 [7535]~P72(x75351)+P1(f330(f330(f239(x75351),x75352),f2(x75351)))+P1(f330(f330(f239(x75351),f2(x75351)),x75353))+~P1(f330(f330(f239(x75351),f2(x75351)),f330(f330(f293(x75351),x75353),x75352))) % 242.40/242.48 [7536]~P72(x75361)+P1(f330(f330(f239(x75361),x75362),f2(x75361)))+P1(f330(f330(f239(x75361),f2(x75361)),x75363))+~P1(f330(f330(f239(x75361),f2(x75361)),f330(f330(f293(x75361),x75362),x75363))) % 242.40/242.48 [7537]~P129(x75371)+P1(f330(f330(f239(x75371),x75372),f2(x75371)))+P1(f330(f330(f239(x75371),f2(x75371)),x75372))+~P1(f330(f330(f239(x75371),f2(x75371)),f330(f330(f83(x75371),x75373),x75372))) % 242.40/242.48 [7538]~P129(x75381)+P1(f330(f330(f239(x75381),x75382),f2(x75381)))+P1(f330(f330(f239(x75381),f2(x75381)),x75382))+~P1(f330(f330(f239(x75381),f2(x75381)),f330(f330(f83(x75381),x75382),x75383))) % 242.40/242.48 [7539]~P72(x75391)+P1(f330(f330(f239(x75391),x75392),f2(x75391)))+P1(f330(f330(f239(x75391),f2(x75391)),x75392))+~P1(f330(f330(f239(x75391),f2(x75391)),f330(f330(f293(x75391),x75393),x75392))) % 242.40/242.48 [7540]~P72(x75401)+P1(f330(f330(f239(x75401),x75402),f2(x75401)))+P1(f330(f330(f239(x75401),f2(x75401)),x75402))+~P1(f330(f330(f239(x75401),f2(x75401)),f330(f330(f293(x75401),x75402),x75403))) % 242.40/242.48 [7541]~P72(x75411)+P1(f330(f330(f240(x75411),x75412),f2(x75411)))+P1(f330(f330(f240(x75411),f2(x75411)),x75413))+~P1(f330(f330(f240(x75411),f2(x75411)),f330(f330(f293(x75411),x75413),x75412))) % 242.40/242.48 [7542]~P72(x75421)+P1(f330(f330(f240(x75421),x75422),f2(x75421)))+P1(f330(f330(f240(x75421),f2(x75421)),x75423))+~P1(f330(f330(f240(x75421),f2(x75421)),f330(f330(f293(x75421),x75422),x75423))) % 242.40/242.48 [7543]~P72(x75431)+P1(f330(f330(f240(x75431),x75432),f2(x75431)))+P1(f330(f330(f240(x75431),f2(x75431)),x75432))+~P1(f330(f330(f240(x75431),f2(x75431)),f330(f330(f293(x75431),x75433),x75432))) % 242.40/242.48 [7544]~P72(x75441)+P1(f330(f330(f240(x75441),x75442),f2(x75441)))+P1(f330(f330(f240(x75441),f2(x75441)),x75442))+~P1(f330(f330(f240(x75441),f2(x75441)),f330(f330(f293(x75441),x75442),x75443))) % 242.40/242.48 [7634]~E(f330(f330(f104(f937(x76341,a925)),f330(f175(x76341),x76342)),f330(f175(x76341),x76343)),f191(f937(x76341,a925)))+~P1(f330(f140(x76341),x76343))+~P1(f330(f140(x76341),x76342))+P1(f330(f140(x76341),f330(f330(f137(x76341),x76342),x76343))) % 242.40/242.48 [7635]~P112(x76351)+~P1(f330(f63(x76351),x76353))+E(f11(x76351,f238(x76351),f330(f330(f312(x76351),x76352),x76353)),x76352)+~E(f330(f330(f23(f937(x76351,a925)),x76353),f330(f330(f312(x76351),x76352),f191(f937(x76351,a925)))),f191(f937(x76351,a925))) % 242.40/242.48 [7636]~P112(x76361)+~P1(f330(f63(x76361),x76363))+E(f12(x76361,f237(x76361),f330(f330(f312(x76361),x76362),x76363)),x76362)+~E(f330(f330(f23(f937(x76361,a925)),x76363),f330(f330(f312(x76361),x76362),f191(f937(x76361,a925)))),f191(f937(x76361,a925))) % 242.40/242.48 [7653]~P91(x76531)+~P1(f330(f330(f239(x76531),x76532),x76533))+~P1(f330(f330(f239(x76531),f330(f81(x76531),x76532)),x76533))+P1(f330(f330(f239(x76531),f330(f77(x76531),x76532)),x76533)) % 242.40/242.48 [7654]~P115(x76541)+~P1(f330(f330(f240(x76541),x76542),x76543))+~P1(f330(f330(f240(x76541),f330(f81(x76541),x76542)),x76543))+P1(f330(f330(f240(x76541),f330(f77(x76541),x76542)),x76543)) % 242.40/242.48 [7725]~P131(x77251)+P1(f330(f330(f240(x77251),f2(x77251)),x77252))+~P1(f330(f330(f240(x77251),f2(x77251)),x77253))+~P1(f330(f330(f240(x77251),f2(x77251)),f330(f330(f83(x77251),x77253),x77252))) % 242.40/242.48 [7726]~P131(x77261)+P1(f330(f330(f240(x77261),f2(x77261)),x77262))+~P1(f330(f330(f240(x77261),f2(x77261)),x77263))+~P1(f330(f330(f240(x77261),f2(x77261)),f330(f330(f83(x77261),x77262),x77263))) % 242.40/242.48 [8025]E(x80251,x80252)+~P1(f330(f63(x80253),x80251))+~P1(f330(f330(f239(a930),f330(f37(x80253),x80251)),f330(f37(x80253),x80252)))+~P1(f330(f330(f239(f937(x80253,a925)),x80252),x80251)) % 242.40/242.48 [8174]~P1(f330(f330(f240(a1),x81741),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x81742))+~P1(f330(f330(f239(a1),x81742),x81743))+P1(f330(f330(f239(a1),f330(f330(f38(a1),x81741),x81742)),f330(f330(f38(a1),x81741),x81743))) % 242.40/242.48 [8184]~P1(f330(f330(f239(a1),f2(a1)),x81841))+~P1(f330(f330(f240(a1),f2(a1)),x81843))+~P1(f330(f330(f239(a1),x81843),x81842))+P1(f330(f330(f239(a1),f330(f330(f38(a1),x81841),x81842)),f330(f330(f38(a1),x81841),x81843))) % 242.40/242.48 [8329]E(f330(x83291,f428(x83292,x83291,x83293)),x83292)+~P1(f330(f330(f239(a1),x83292),f330(x83291,x83293)))+P1(f330(f330(f240(a930),f429(x83292,x83291,x83293)),x83293))+~P1(f330(f330(f239(a1),f330(x83291,f2(a930))),x83292)) % 242.40/242.48 [8330]E(f330(x83301,f435(x83302,x83301,x83303)),x83302)+~P1(f330(f330(f239(a1),x83302),f330(x83301,x83303)))+P1(f330(f330(f240(a930),f436(x83302,x83301,x83303)),x83303))+~P1(f330(f330(f239(a1),f330(x83301,f2(a930))),x83302)) % 242.40/242.48 [8430]~P1(f330(f63(x84301),x84303))+~P1(f330(f330(f240(a930),f330(f37(x84301),x84302)),f330(f37(x84301),x84303)))+~P1(f330(f330(f239(f937(x84301,a925)),x84302),x84303))+P1(f330(f330(f240(f937(x84301,a925)),x84302),x84303)) % 242.40/242.48 [8457]E(f330(f330(f82(a1),f384(x84573,x84571,x84572)),f385(x84573,x84571,x84572)),x84571)+E(f330(f330(f23(a1),x84571),x84572),x84571)+~P1(f330(f330(f240(a1),f2(a1)),x84572))+~P1(f330(f330(f332(a1),f330(f330(f23(a1),x84571),f80(a1))),x84573)) % 242.40/242.48 [8458]E(f330(f330(f23(a1),f386(x84583,x84581,x84582)),f387(x84583,x84581,x84582)),x84581)+E(f330(f330(f82(a1),x84581),x84582),x84581)+~P1(f330(f330(f240(a1),f2(a1)),x84582))+~P1(f330(f330(f332(a1),f330(f330(f82(a1),x84581),f80(a1))),x84583)) % 242.40/242.48 [8511]~P1(f330(f330(f239(a930),x85113),x85111))+P1(f330(f330(f239(a930),x85111),x85112))+~P1(f330(f330(f239(a930),x85113),x85112))+~P1(f330(f330(f239(a930),f330(f330(f23(a930),x85111),x85113)),f330(f330(f23(a930),x85112),x85113))) % 242.40/242.48 [8512]~P1(f330(f330(f239(a930),x85123),x85121))+P1(f330(f330(f240(a930),x85121),x85122))+~P1(f330(f330(f239(a930),x85123),x85122))+~P1(f330(f330(f240(a930),f330(f330(f23(a930),x85121),x85123)),f330(f330(f23(a930),x85122),x85123))) % 242.40/242.48 [8531]~P112(x85312)+E(x85311,f116(x85312))+~P16(x85312,f330(f171(x85312),x85311))+E(f330(f145(x85312,x85312,f330(f7(x85312,x85312,x85312),f238(x85312)),x85313),f330(f171(x85312),x85311)),f330(f330(f238(x85312),f330(f330(f167(x85312),x85311),f2(a930))),x85313)) % 242.40/242.48 [8602]E(f330(f330(f23(a1),x86021),x86022),x86021)+~P1(f330(f330(f240(a1),f2(a1)),x86022))+P1(f330(f330(f332(a1),f384(x86023,x86021,x86022)),x86023))+~P1(f330(f330(f332(a1),f330(f330(f23(a1),x86021),f80(a1))),x86023)) % 242.40/242.48 [8603]E(f330(f330(f82(a1),x86031),x86032),x86031)+~P1(f330(f330(f240(a1),f2(a1)),x86032))+P1(f330(f330(f332(a1),f386(x86033,x86031,x86032)),x86033))+~P1(f330(f330(f332(a1),f330(f330(f82(a1),x86031),f80(a1))),x86033)) % 242.40/242.48 [8678]~P1(f330(f330(f239(a1),x86781),f330(x86782,x86783)))+P1(f330(f330(f240(a930),f429(x86781,x86782,x86783)),x86783))+P1(f330(f330(f239(a930),f428(x86781,x86782,x86783)),x86783))+~P1(f330(f330(f239(a1),f330(x86782,f2(a930))),x86781)) % 242.40/242.48 [8679]~P1(f330(f330(f239(a1),x86791),f330(x86792,x86793)))+P1(f330(f330(f240(a930),f436(x86791,x86792,x86793)),x86793))+P1(f330(f330(f239(a930),f435(x86791,x86792,x86793)),x86793))+~P1(f330(f330(f239(a1),f330(x86792,f2(a930))),x86791)) % 242.40/242.48 [8758]E(f330(f330(f23(a1),x87581),x87582),x87581)+~P1(f330(f330(f240(a1),f2(a1)),x87582))+P1(f330(f330(f332(a1),f385(x87583,x87581,x87582)),f306(a1,f80(a1),x87582)))+~P1(f330(f330(f332(a1),f330(f330(f23(a1),x87581),f80(a1))),x87583)) % 242.40/242.48 [8759]E(f330(f330(f82(a1),x87591),x87592),x87591)+~P1(f330(f330(f240(a1),f2(a1)),x87592))+P1(f330(f330(f332(a1),f387(x87593,x87591,x87592)),f306(a1,f80(a1),x87592)))+~P1(f330(f330(f332(a1),f330(f330(f82(a1),x87591),f80(a1))),x87593)) % 242.40/242.48 [8894]~P127(x88941)+~P1(f330(f330(f240(x88941),x88942),f80(x88941)))+~P1(f330(f330(f240(x88941),f2(x88941)),x88942))+P1(f330(f330(f240(x88941),f330(f330(f83(x88941),x88942),f330(f330(f248(x88941),x88942),x88943))),f330(f330(f248(x88941),x88942),x88943))) % 242.40/242.48 [8987]~P1(f330(x89871,x89872))+P1(f330(x89871,f2(a930)))+~P1(f330(f330(f240(a930),x89872),x89873))+~P1(f330(x89871,f47(a930,f330(a115,f487(x89872,x89871,x89873)),x89873))) % 242.40/242.48 [9139]E(f518(x91391,x91392,x91393),f2(a930))+P1(f330(f330(x91391,x91393),x91392))+P1(f330(f330(x91391,f518(x91391,x91392,x91393)),f47(a930,f517(x91391,x91392,x91393),f518(x91391,x91392,x91393))))+~P1(f330(f318(f936(a930,a930),a223),f330(f330(f256(a930,a930),x91393),x91392))) % 242.40/242.48 [9178]~P28(x91781,x91781,x91782,x91783)+E(f330(f313(x91781,x91781,x91782),x91783),x91783)+~P1(f330(f63(x91781),x91783))+~P1(f330(f330(f239(f937(x91781,a925)),f330(f313(x91781,x91781,x91782),x91783)),x91783)) % 242.40/242.48 [9404]P1(f330(f330(x94041,x94042),x94043))+P1(f330(f330(f240(a1),f796(x94041,x94043,x94042)),f797(x94041,x94043,x94042)))+P1(f330(f330(x94041,f796(x94041,x94043,x94042)),f330(f330(f82(a1),f797(x94041,x94043,x94042)),f80(a1))))+~P1(f330(f318(f936(a1,a1),a136),f330(f330(f256(a1,a1),x94042),x94043))) % 242.40/242.48 [9423]P1(f330(f330(x94231,x94232),x94233))+~P1(f330(f330(f240(a1),f515(x94231,x94233,x94232)),f2(a1)))+P1(f330(f330(x94231,f330(f81(a1),f514(x94231,x94233,x94232))),f330(f81(a1),f515(x94231,x94233,x94232))))+~P1(f330(f318(f936(a1,a1),a225),f330(f330(f256(a1,a1),x94232),x94233))) % 242.40/242.48 [9608]P1(f330(f330(x96081,x96082),x96083))+P1(f330(f330(x96081,f330(f330(f82(a1),f698(x96081,x96083,x96082)),f80(a1))),f700(x96081,x96083,x96082)))+~P1(f330(f330(f239(a1),f698(x96081,x96083,x96082)),f700(x96081,x96083,x96082)))+~P1(f330(f318(f936(a1,a1),a185),f330(f330(f256(a1,a1),x96082),x96083))) % 242.40/242.48 [10041]~P69(x100412)+~P69(x100411)+~P1(f330(f58(f936(x100411,x100412)),x100413))+P1(f330(f58(x100411),f330(f330(f8(f937(x100412,a925),a925,x100411),f58(x100412)),f330(f330(f8(f937(x100412,f936(x100411,x100412)),f937(x100412,a925),x100411),f330(f8(f936(x100411,x100412),a925,x100412),x100413)),f256(x100411,x100412))))) % 242.40/242.48 [10042]~P69(x100422)+~P69(x100421)+~P1(f330(f59(f936(x100421,x100422)),x100423))+P1(f330(f59(x100421),f330(f330(f8(f937(x100422,a925),a925,x100421),f59(x100422)),f330(f330(f8(f937(x100422,f936(x100421,x100422)),f937(x100422,a925),x100421),f330(f8(f936(x100421,x100422),a925,x100422),x100423)),f256(x100421,x100422))))) % 242.40/242.48 [10136]~P69(x101362)+~P69(x101361)+P1(f330(f58(f936(x101361,x101362)),x101363))+~P1(f330(f58(x101361),f330(f330(f8(f937(x101362,a925),a925,x101361),f58(x101362)),f330(f330(f8(f937(x101362,f936(x101361,x101362)),f937(x101362,a925),x101361),f330(f8(f936(x101361,x101362),a925,x101362),x101363)),f256(x101361,x101362))))) % 242.40/242.48 [10137]~P69(x101372)+~P69(x101371)+P1(f330(f59(f936(x101371,x101372)),x101373))+~P1(f330(f59(x101371),f330(f330(f8(f937(x101372,a925),a925,x101371),f59(x101372)),f330(f330(f8(f937(x101372,f936(x101371,x101372)),f937(x101372,a925),x101371),f330(f8(f936(x101371,x101372),a925,x101372),x101373)),f256(x101371,x101372))))) % 242.40/242.48 [10295]E(f330(x102951,f428(x102952,x102951,x102953)),x102952)+~P1(f330(f330(f239(a1),x102952),f330(x102951,x102953)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102951,f330(f330(f82(a930),f429(x102952,x102951,x102953)),f80(a930)))),f330(x102951,f429(x102952,x102951,x102953))))),f80(a1)))+~P1(f330(f330(f239(a1),f330(x102951,f2(a930))),x102952)) % 242.40/242.48 [10296]E(f330(x102961,f435(x102962,x102961,x102963)),x102962)+~P1(f330(f330(f239(a1),x102962),f330(x102961,x102963)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102961,f330(f330(f82(a930),f436(x102962,x102961,x102963)),f80(a930)))),f330(x102961,f436(x102962,x102961,x102963))))),f80(a1)))+~P1(f330(f330(f239(a1),f330(x102961,f2(a930))),x102962)) % 242.40/242.48 [10299]~P1(f330(f330(f239(a1),x102991),f330(x102992,x102993)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x102992,f330(f330(f82(a930),f429(x102991,x102992,x102993)),f80(a930)))),f330(x102992,f429(x102991,x102992,x102993))))),f80(a1)))+P1(f330(f330(f239(a930),f428(x102991,x102992,x102993)),x102993))+~P1(f330(f330(f239(a1),f330(x102992,f2(a930))),x102991)) % 242.40/242.48 [10300]~P1(f330(f330(f239(a1),x103001),f330(x103002,x103003)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x103002,f330(f330(f82(a930),f436(x103001,x103002,x103003)),f80(a930)))),f330(x103002,f436(x103001,x103002,x103003))))),f80(a1)))+P1(f330(f330(f239(a930),f435(x103001,x103002,x103003)),x103003))+~P1(f330(f330(f239(a1),f330(x103002,f2(a930))),x103001)) % 242.40/242.48 [10359]E(x103591,x103592)+~E(f330(f145(f931(x103593),f931(x103593),f137(x103593),f116(x103593)),x103591),f330(f145(f931(x103593),f931(x103593),f137(x103593),f116(x103593)),x103592))+~E(f330(f192(f931(f931(x103593))),x103591),f330(f192(f931(f931(x103593))),x103592))+~P1(f330(f330(f261(f931(x103593),f931(x103593),a925),f330(f330(f7(f931(x103593),f937(f931(x103593),a930),f937(f931(x103593),a925)),f330(f330(f8(f937(a930,a925),f937(f937(f931(x103593),a930),f937(f931(x103593),a925)),f931(x103593)),f8(a930,a925,f931(x103593))),f330(f330(f8(a930,f937(a930,a925),f931(x103593)),a327),f192(f931(x103593))))),f192(f931(x103593)))),f724(x103591,x103592,x103593))) % 242.40/242.48 [10360]E(x103601,x103602)+~E(f330(f145(f931(x103603),f931(x103603),f137(x103603),f116(x103603)),x103601),f330(f145(f931(x103603),f931(x103603),f137(x103603),f116(x103603)),x103602))+~E(f330(f192(f931(f931(x103603))),x103601),f330(f192(f931(f931(x103603))),x103602))+~P1(f330(f330(f261(f931(x103603),f931(x103603),a925),f330(f330(f7(f931(x103603),f937(f931(x103603),a930),f937(f931(x103603),a925)),f330(f330(f8(f937(a930,a925),f937(f937(f931(x103603),a930),f937(f931(x103603),a925)),f931(x103603)),f8(a930,a925,f931(x103603))),f330(f330(f8(a930,f937(a930,a925),f931(x103603)),a327),f192(f931(x103603))))),f192(f931(x103603)))),f725(x103602,x103601,x103603))) % 242.40/242.48 [7045]~E(f80(a930),f2(a930))+~P1(f330(f63(x70451),x70453))+~P1(f330(f63(x70451),x70452))+E(f330(f330(f82(a930),f330(f37(x70451),x70452)),f330(f37(x70451),x70453)),f330(f37(x70451),f330(f330(f113(f937(x70451,a925)),x70452),x70453))) % 242.40/242.48 [7454]~P106(x74541)+~P1(f330(f63(x74541),x74542))+~P1(f330(f330(f332(x74541),x74543),x74542))+P1(f330(f330(f239(x74541),f330(f65(x74541,f104(x74541)),x74542)),x74543)) % 242.40/242.48 [7455]~P112(x74551)+~P1(f330(f63(x74551),x74552))+~P1(f330(f330(f332(x74551),x74553),x74552))+P1(f330(f330(f239(x74551),f330(f65(x74551,f237(x74551)),x74552)),x74553)) % 242.40/242.48 [7719]~P1(f330(f63(x77191),x77193))+~P1(f330(f63(x77191),x77192))+~E(f330(f330(f104(f937(x77191,a925)),x77192),x77193),f191(f937(x77191,a925)))+E(f330(f330(f82(a930),f330(f37(x77191),x77192)),f330(f37(x77191),x77193)),f330(f37(x77191),f330(f330(f113(f937(x77191,a925)),x77192),x77193))) % 242.40/242.48 [8517]~P42(x85171,x85173)+~P42(x85171,x85172)+~E(f330(f330(f104(f937(x85171,a925)),f330(f268(x85171,x85171),x85172)),f330(f288(x85171,x85171),x85173)),f191(f937(x85171,a925)))+P42(x85171,f330(f330(f113(f937(f936(x85171,x85171),a925)),x85172),x85173)) % 242.40/242.48 [8614]E(x86141,f330(f330(f38(a930),x86142),x86143))+~P1(f330(f330(f240(a930),f2(a930)),x86143))+~P1(f330(f330(f240(a930),x86142),f330(f330(f83(a930),x86143),f330(a115,x86141))))+~P1(f330(f330(f239(a930),f330(f330(f83(a930),x86143),x86141)),x86142)) % 242.40/242.48 [8756]~P1(f330(f63(x87561),x87562))+~P1(f330(f63(x87561),x87563))+E(f330(f330(f82(a930),f330(f37(x87561),x87562)),f330(f37(x87561),x87563)),f330(f37(x87561),f330(f330(f113(f937(x87561,a925)),x87562),x87563)))+P1(f330(f330(f332(x87561),f916(x87563,x87562,x87561)),f330(f330(f104(f937(x87561,a925)),x87562),x87563))) % 242.40/242.48 [9151]~P129(x91512)+~E(x91511,f2(x91512))+~E(x91513,f2(x91512))+~P1(f330(f330(f240(x91512),f2(x91512)),f330(f330(f82(x91512),f330(f330(f83(x91512),x91513),x91513)),f330(f330(f83(x91512),x91511),x91511)))) % 242.40/242.48 [9687]~P42(x96871,x96873)+~P42(x96871,x96872)+P42(x96871,f330(f330(f113(f937(f936(x96871,x96871),a925)),x96872),x96873))+~P1(f330(f330(f239(f937(f936(x96871,x96871),a925)),f330(f330(f292(x96871,x96871,x96871),x96872),x96873)),x96872)) % 242.40/242.48 [9817]~P1(f330(x98171,x98173))+~P1(f330(f63(x98172),x98173))+P1(f330(x98171,f191(f937(x98172,a925))))+~P1(f330(x98171,f330(f330(f23(f937(x98172,a925)),f880(x98171,x98173,x98172)),f330(f330(f312(x98172),f881(x98171,x98173,x98172)),f191(f937(x98172,a925)))))) % 242.40/242.48 [8934]~P1(f330(f330(f240(a1),f2(a1)),x89343))+P1(f330(f330(f239(a1),f2(a1)),x89341))+~P1(f330(f330(f240(a1),x89342),x89343))+~P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),f330(f330(f83(a1),x89343),x89341)),x89342))) % 242.40/242.48 [8958]~P2(x89581)+~P1(f330(f63(x89581),x89582))+E(f330(f330(f23(f937(x89581,a925)),x89582),f330(f330(f312(x89581),x89583),f191(f937(x89581,a925)))),f191(f937(x89581,a925)))+E(f330(f330(f104(x89581),x89583),f10(x89581,f330(f330(f23(f937(x89581,a925)),x89582),f330(f330(f312(x89581),x89583),f191(f937(x89581,a925)))))),f10(x89581,f330(f330(f312(x89581),x89583),x89582))) % 242.40/242.48 [8959]~P2(x89591)+~P1(f330(f63(x89591),x89592))+E(f330(f330(f23(f937(x89591,a925)),x89592),f330(f330(f312(x89591),x89593),f191(f937(x89591,a925)))),f191(f937(x89591,a925)))+E(f330(f330(f113(x89591),x89593),f13(x89591,f330(f330(f23(f937(x89591,a925)),x89592),f330(f330(f312(x89591),x89593),f191(f937(x89591,a925)))))),f13(x89591,f330(f330(f312(x89591),x89593),x89592))) % 242.40/242.48 [8960]~P112(x89601)+~P1(f330(f63(x89601),x89602))+E(f330(f330(f23(f937(x89601,a925)),x89602),f330(f330(f312(x89601),x89603),f191(f937(x89601,a925)))),f191(f937(x89601,a925)))+E(f330(f330(f238(x89601),x89603),f14(x89601,f330(f330(f23(f937(x89601,a925)),x89602),f330(f330(f312(x89601),x89603),f191(f937(x89601,a925)))))),f14(x89601,f330(f330(f312(x89601),x89603),x89602))) % 242.40/242.48 [8961]~P112(x89611)+~P1(f330(f63(x89611),x89612))+E(f330(f330(f23(f937(x89611,a925)),x89612),f330(f330(f312(x89611),x89613),f191(f937(x89611,a925)))),f191(f937(x89611,a925)))+E(f330(f330(f237(x89611),x89613),f15(x89611,f330(f330(f23(f937(x89611,a925)),x89612),f330(f330(f312(x89611),x89613),f191(f937(x89611,a925)))))),f15(x89611,f330(f330(f312(x89611),x89613),x89612))) % 242.40/242.48 [9033]~P112(x90331)+~P1(f330(f63(x90331),x90332))+E(f330(f330(f23(f937(x90331,a925)),x90332),f330(f330(f312(x90331),x90333),f191(f937(x90331,a925)))),f191(f937(x90331,a925)))+E(f330(f330(f238(x90331),x90333),f11(x90331,f238(x90331),f330(f330(f23(f937(x90331,a925)),x90332),f330(f330(f312(x90331),x90333),f191(f937(x90331,a925)))))),f11(x90331,f238(x90331),f330(f330(f312(x90331),x90333),x90332))) % 242.40/242.48 [9034]~P112(x90341)+~P1(f330(f63(x90341),x90342))+E(f330(f330(f23(f937(x90341,a925)),x90342),f330(f330(f312(x90341),x90343),f191(f937(x90341,a925)))),f191(f937(x90341,a925)))+E(f330(f330(f237(x90341),x90343),f12(x90341,f237(x90341),f330(f330(f23(f937(x90341,a925)),x90342),f330(f330(f312(x90341),x90343),f191(f937(x90341,a925)))))),f12(x90341,f237(x90341),f330(f330(f312(x90341),x90343),x90342))) % 242.40/242.48 [9627]E(x96271,x96272)+~E(f330(f145(f931(x96273),f931(x96273),f137(x96273),f116(x96273)),x96271),f330(f145(f931(x96273),f931(x96273),f137(x96273),f116(x96273)),x96272))+~E(f330(f192(f931(f931(x96273))),x96271),f330(f192(f931(f931(x96273))),x96272))+P1(f330(f330(f332(f936(f931(x96273),f931(x96273))),f724(x96271,x96272,x96273)),f330(f175(f936(f931(x96273),f931(x96273))),f330(f330(f184(f931(x96273),f931(x96273)),x96272),x96271)))) % 242.40/242.48 [9628]E(x96281,x96282)+~E(f330(f145(f931(x96283),f931(x96283),f137(x96283),f116(x96283)),x96281),f330(f145(f931(x96283),f931(x96283),f137(x96283),f116(x96283)),x96282))+~E(f330(f192(f931(f931(x96283))),x96281),f330(f192(f931(f931(x96283))),x96282))+P1(f330(f330(f332(f936(f931(x96283),f931(x96283))),f725(x96282,x96281,x96283)),f330(f175(f936(f931(x96283),f931(x96283))),f330(f330(f184(f931(x96283),f931(x96283)),x96281),x96282)))) % 242.40/242.48 [10465]~P103(x104652)+E(x104651,f191(f937(x104652,a925)))+~P1(f330(f63(x104652),x104651))+E(f10(x104652,f330(f266(x104652),f330(f330(f8(f937(x104652,a925),a925,x104652),f89(x104652)),f330(f330(f7(x104652,f937(x104652,a925),f937(x104652,a925)),f330(f330(f8(f937(x104652,f937(a925,a925)),f937(f937(x104652,a925),f937(x104652,a925)),x104652),f18(x104652,a925,a925)),f330(f330(f8(f937(x104652,a925),f937(x104652,f937(a925,a925)),x104652),f330(f8(a925,f937(a925,a925),x104652),a328)),f330(f330(f7(x104652,f937(x104652,x104652),f937(x104652,a925)),f330(f330(f8(f937(x104652,a925),f937(f937(x104652,x104652),f937(x104652,a925)),x104652),f8(x104652,a925,x104652)),a327)),f330(f113(x104652),x104653))))),f330(f330(f7(x104652,f937(x104652,a925),a925),f332(x104652)),x104651))))),f330(f330(f113(x104652),x104653),f10(x104652,x104651))) % 242.40/242.48 [10466]~P103(x104662)+E(x104661,f191(f937(x104662,a925)))+~P1(f330(f63(x104662),x104661))+E(f13(x104662,f330(f266(x104662),f330(f330(f8(f937(x104662,a925),a925,x104662),f89(x104662)),f330(f330(f7(x104662,f937(x104662,a925),f937(x104662,a925)),f330(f330(f8(f937(x104662,f937(a925,a925)),f937(f937(x104662,a925),f937(x104662,a925)),x104662),f18(x104662,a925,a925)),f330(f330(f8(f937(x104662,a925),f937(x104662,f937(a925,a925)),x104662),f330(f8(a925,f937(a925,a925),x104662),a328)),f330(f330(f7(x104662,f937(x104662,x104662),f937(x104662,a925)),f330(f330(f8(f937(x104662,a925),f937(f937(x104662,x104662),f937(x104662,a925)),x104662),f8(x104662,a925,x104662)),a327)),f330(f104(x104662),x104663))))),f330(f330(f7(x104662,f937(x104662,a925),a925),f332(x104662)),x104661))))),f330(f330(f104(x104662),x104663),f13(x104662,x104661))) % 242.40/242.48 [10467]~P82(x104672)+E(x104671,f191(f937(x104672,a925)))+~P1(f330(f63(x104672),x104671))+E(f14(x104672,f330(f266(x104672),f330(f330(f8(f937(x104672,a925),a925,x104672),f89(x104672)),f330(f330(f7(x104672,f937(x104672,a925),f937(x104672,a925)),f330(f330(f8(f937(x104672,f937(a925,a925)),f937(f937(x104672,a925),f937(x104672,a925)),x104672),f18(x104672,a925,a925)),f330(f330(f8(f937(x104672,a925),f937(x104672,f937(a925,a925)),x104672),f330(f8(a925,f937(a925,a925),x104672),a328)),f330(f330(f7(x104672,f937(x104672,x104672),f937(x104672,a925)),f330(f330(f8(f937(x104672,a925),f937(f937(x104672,x104672),f937(x104672,a925)),x104672),f8(x104672,a925,x104672)),a327)),f330(f82(x104672),x104673))))),f330(f330(f7(x104672,f937(x104672,a925),a925),f332(x104672)),x104671))))),f330(f330(f82(x104672),x104673),f14(x104672,x104671))) % 242.40/242.48 [10468]~P82(x104682)+E(x104681,f191(f937(x104682,a925)))+~P1(f330(f63(x104682),x104681))+E(f15(x104682,f330(f266(x104682),f330(f330(f8(f937(x104682,a925),a925,x104682),f89(x104682)),f330(f330(f7(x104682,f937(x104682,a925),f937(x104682,a925)),f330(f330(f8(f937(x104682,f937(a925,a925)),f937(f937(x104682,a925),f937(x104682,a925)),x104682),f18(x104682,a925,a925)),f330(f330(f8(f937(x104682,a925),f937(x104682,f937(a925,a925)),x104682),f330(f8(a925,f937(a925,a925),x104682),a328)),f330(f330(f7(x104682,f937(x104682,x104682),f937(x104682,a925)),f330(f330(f8(f937(x104682,a925),f937(f937(x104682,x104682),f937(x104682,a925)),x104682),f8(x104682,a925,x104682)),a327)),f330(f82(x104682),x104683))))),f330(f330(f7(x104682,f937(x104682,a925),a925),f332(x104682)),x104681))))),f330(f330(f82(x104682),x104683),f15(x104682,x104681))) % 242.40/242.48 [10469]~P112(x104692)+E(x104691,f191(f937(x104692,a925)))+~P1(f330(f63(x104692),x104691))+E(f11(x104692,f238(x104692),f330(f266(x104692),f330(f330(f8(f937(x104692,a925),a925,x104692),f89(x104692)),f330(f330(f7(x104692,f937(x104692,a925),f937(x104692,a925)),f330(f330(f8(f937(x104692,f937(a925,a925)),f937(f937(x104692,a925),f937(x104692,a925)),x104692),f18(x104692,a925,a925)),f330(f330(f8(f937(x104692,a925),f937(x104692,f937(a925,a925)),x104692),f330(f8(a925,f937(a925,a925),x104692),a328)),f330(f330(f7(x104692,f937(x104692,x104692),f937(x104692,a925)),f330(f330(f8(f937(x104692,a925),f937(f937(x104692,x104692),f937(x104692,a925)),x104692),f8(x104692,a925,x104692)),a327)),f330(f237(x104692),x104693))))),f330(f330(f7(x104692,f937(x104692,a925),a925),f332(x104692)),x104691))))),f330(f330(f237(x104692),x104693),f11(x104692,f238(x104692),x104691))) % 242.40/242.48 [10470]~P112(x104702)+E(x104701,f191(f937(x104702,a925)))+~P1(f330(f63(x104702),x104701))+E(f12(x104702,f237(x104702),f330(f266(x104702),f330(f330(f8(f937(x104702,a925),a925,x104702),f89(x104702)),f330(f330(f7(x104702,f937(x104702,a925),f937(x104702,a925)),f330(f330(f8(f937(x104702,f937(a925,a925)),f937(f937(x104702,a925),f937(x104702,a925)),x104702),f18(x104702,a925,a925)),f330(f330(f8(f937(x104702,a925),f937(x104702,f937(a925,a925)),x104702),f330(f8(a925,f937(a925,a925),x104702),a328)),f330(f330(f7(x104702,f937(x104702,x104702),f937(x104702,a925)),f330(f330(f8(f937(x104702,a925),f937(f937(x104702,x104702),f937(x104702,a925)),x104702),f8(x104702,a925,x104702)),a327)),f330(f238(x104702),x104703))))),f330(f330(f7(x104702,f937(x104702,a925),a925),f332(x104702)),x104701))))),f330(f330(f238(x104702),x104703),f12(x104702,f237(x104702),x104701))) % 242.40/242.48 [10201]~P115(x102011)+~E(x102013,f2(x102011))+~E(x102012,f2(x102011))+E(f330(f330(f82(x102011),f330(f330(f248(x102011),x102012),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x102011),x102013),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f2(x102011)) % 242.40/242.48 [10340]~P127(x103401)+~P1(f330(f330(f239(x103401),f2(x103401)),x103403))+P1(f330(f330(f239(x103401),x103402),x103403))+~P1(f330(f330(f239(x103401),f330(f330(f248(x103401),x103402),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x103401),x103403),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))))) % 242.40/242.48 [10398]~P115(x103982)+~E(x103981,f2(x103982))+~E(x103983,f2(x103982))+~P1(f330(f330(f240(x103982),f2(x103982)),f330(f330(f82(x103982),f330(f330(f248(x103982),x103983),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))),f330(f330(f248(x103982),x103981),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))))) % 242.40/242.48 [6929]~P10(x69293,x69292)+~P1(f330(x69291,x69294))+~P1(f330(f330(f332(x69293),x69294),f274(x69293,x69292)))+P1(f330(x69291,f841(x69291,x69292,x69293))) % 242.40/242.48 [8869]P29(x88691,x88692,f902(x88693,x88692,x88694,x88691),x88694,x88693)+~E(f330(f37(x88691),x88694),f330(f37(x88692),x88693))+~P1(f330(f63(x88692),x88693))+~P1(f330(f63(x88691),x88694)) % 242.40/242.48 [9590]E(x95901,x95902)+~E(f671(x95901,x95902,x95904,x95903),f673(x95901,x95902,x95904,x95903))+P1(f330(f330(f332(f936(f931(x95903),f931(x95903))),f330(f330(f256(f931(x95903),f931(x95903)),x95902),x95901)),f150(x95903,x95904)))+P1(f330(f330(f332(f936(f931(x95903),f931(x95903))),f330(f330(f256(f931(x95903),f931(x95903)),x95901),x95902)),f150(x95903,x95904))) % 242.40/242.48 [5083]~P70(x50832)+~E(x50834,f2(x50832))+~E(x50831,f2(x50832))+E(x50831,f330(f330(f293(x50832),x50833),x50834)) % 242.40/242.48 [5084]~P70(x50841)+~E(x50843,f2(x50841))+~E(x50844,f2(x50841))+E(f330(f330(f293(x50841),x50842),x50843),x50844) % 242.40/242.48 [5200]~P70(x52002)+E(x52001,f2(x52002))+~E(x52003,f2(x52002))+~E(x52001,f330(f330(f293(x52002),x52004),x52003)) % 242.40/242.48 [5201]~P70(x52012)+E(x52011,f2(x52012))+~E(x52013,f2(x52012))+~E(f330(f330(f293(x52012),x52014),x52013),x52011) % 242.40/242.48 [5380]~P122(x53802)+E(x53801,f2(x53802))+~E(f330(f330(f293(x53802),x53803),x53801),x53804)+E(x53803,f330(f330(f83(x53802),x53804),x53801)) % 242.40/242.48 [5382]~P122(x53822)+E(x53821,f2(x53822))+~E(f330(f330(f83(x53822),x53823),x53821),x53824)+E(x53823,f330(f330(f293(x53822),x53824),x53821)) % 242.40/242.48 [5383]~P70(x53832)+E(x53831,f2(x53832))+~E(f330(f330(f293(x53832),x53833),x53831),x53834)+E(x53833,f330(f330(f83(x53832),x53834),x53831)) % 242.40/242.48 [5384]~P70(x53842)+E(x53841,f2(x53842))+~E(f330(f330(f83(x53842),x53843),x53841),x53844)+E(x53843,f330(f330(f293(x53842),x53844),x53841)) % 242.40/242.48 [5385]~P122(x53852)+E(x53851,f2(x53852))+~E(x53853,f330(f330(f293(x53852),x53854),x53851))+E(f330(f330(f83(x53852),x53853),x53851),x53854) % 242.40/242.48 [5387]~P122(x53872)+E(x53871,f2(x53872))+~E(x53873,f330(f330(f83(x53872),x53874),x53871))+E(f330(f330(f293(x53872),x53873),x53871),x53874) % 242.40/242.48 [5388]~P70(x53882)+E(x53881,f2(x53882))+~E(x53883,f330(f330(f293(x53882),x53884),x53881))+E(f330(f330(f83(x53882),x53883),x53881),x53884) % 242.40/242.48 [5389]~P70(x53892)+E(x53891,f2(x53892))+~E(x53893,f330(f330(f83(x53892),x53894),x53891))+E(f330(f330(f293(x53892),x53893),x53891),x53894) % 242.40/242.48 [5414]~P70(x54142)+~E(x54141,f2(x54142))+~E(f330(f330(f83(x54142),x54141),x54144),x54143)+E(x54141,f330(f330(f293(x54142),x54143),x54144)) % 242.40/242.48 [5415]~P70(x54151)+~E(x54154,f2(x54151))+~E(x54152,f330(f330(f83(x54151),x54154),x54153))+E(f330(f330(f293(x54151),x54152),x54153),x54154) % 242.40/242.48 [5488]~E(x54883,x54884)+~E(x54882,x54883)+~P113(x54881)+E(f306(x54881,x54882,x54883),f330(f330(f312(x54881),x54884),f191(f937(x54881,a925)))) % 242.40/242.48 [5693]~E(f117(x56932,x56931),x56933)+~E(f147(x56932,x56931),x56934)+E(x56931,f116(x56932))+E(f330(f330(f137(x56932),x56933),f330(f330(f154(x56932),x56934),f116(x56932))),x56931) % 242.40/242.48 [6323]~P127(x63233)+E(x63231,x63232)+~E(f330(f330(f248(x63233),x63234),x63231),f330(f330(f248(x63233),x63234),x63232))+~P1(f330(f330(f240(x63233),f80(x63233)),x63234)) % 242.40/242.48 [6324]E(x63241,x63242)+~E(f330(f330(f312(x63243),x63244),x63241),f330(f330(f312(x63243),x63244),x63242))+P1(f330(f330(f332(x63243),x63244),x63242))+P1(f330(f330(f332(x63243),x63244),x63241)) % 242.40/242.48 [6367]E(f330(x63671,x63672),f2(a930))+~E(f330(f330(f6(x63673,a930),x63671),x63674),f2(a930))+~P1(f330(f63(x63673),x63674))+~P1(f330(f330(f332(x63673),x63672),x63674)) % 242.40/242.48 [6368]E(f330(x63681,x63682),f80(a930))+~E(f330(f330(f9(x63683,a930),x63681),x63684),f80(a930))+~P1(f330(f63(x63683),x63684))+~P1(f330(f330(f332(x63683),x63682),x63684)) % 242.40/242.48 [6583]~P113(x65831)+~P1(f330(f330(f239(x65831),x65834),x65833))+P1(f330(f330(f239(x65831),x65832),x65833))+~P1(f330(f330(f239(x65831),x65832),x65834)) % 242.40/242.48 [6584]~P110(x65841)+~P1(f330(f330(f239(x65841),x65842),x65844))+P1(f330(f330(f239(x65841),x65842),x65843))+~P1(f330(f330(f239(x65841),x65844),x65843)) % 242.40/242.48 [6585]~P113(x65851)+~P1(f330(f330(f240(x65851),x65854),x65853))+P1(f330(f330(f240(x65851),x65852),x65853))+~P1(f330(f330(f239(x65851),x65852),x65854)) % 242.40/242.48 [6586]~P113(x65861)+~P1(f330(f330(f240(x65861),x65862),x65864))+P1(f330(f330(f240(x65861),x65862),x65863))+~P1(f330(f330(f239(x65861),x65864),x65863)) % 242.40/242.48 [6587]~P113(x65871)+~P1(f330(f330(f240(x65871),x65874),x65873))+P1(f330(f330(f240(x65871),x65872),x65873))+~P1(f330(f330(f240(x65871),x65872),x65874)) % 242.40/242.48 [6588]~P110(x65881)+~P1(f330(f330(f240(x65881),x65882),x65884))+P1(f330(f330(f240(x65881),x65882),x65883))+~P1(f330(f330(f239(x65881),x65884),x65883)) % 242.40/242.48 [6589]~P110(x65891)+~P1(f330(f330(f240(x65891),x65894),x65893))+P1(f330(f330(f240(x65891),x65892),x65893))+~P1(f330(f330(f239(x65891),x65892),x65894)) % 242.40/242.48 [6590]~P110(x65901)+~P1(f330(f330(f240(x65901),x65902),x65904))+P1(f330(f330(f240(x65901),x65902),x65903))+~P1(f330(f330(f240(x65901),x65904),x65903)) % 242.40/242.48 [6674]~P40(x66744,x66743,x66742)+E(x66741,f777(x66742,x66743,x66744))+~P1(f330(x66743,x66741))+~P1(f330(f330(f332(x66744),x66741),f330(f175(x66744),x66742))) % 242.40/242.48 [6675]~P40(x66754,x66753,x66752)+E(x66751,f790(x66752,x66753,x66754))+~P1(f330(x66753,x66751))+~P1(f330(f330(f332(x66754),x66751),f330(f175(x66754),x66752))) % 242.40/242.48 [6825]~P8(x68251)+~P1(f330(f330(f239(x68251),x68252),f40(x68251,x68254)))+P1(f330(f330(f239(x68251),x68252),x68253))+~P1(f330(f330(f332(x68251),x68253),x68254)) % 242.40/242.48 [6967]~P112(x69671)+~P16(x69671,f330(f330(f154(x69671),x69672),x69674))+~P1(f330(f330(f332(x69671),x69673),f330(f175(x69671),x69674)))+P1(f330(f330(f239(x69671),x69672),x69673)) % 242.40/242.48 [7055]~P8(x70551)+~P1(f330(f330(f239(x70551),f39(x70551,x70554)),x70553))+P1(f330(f330(f239(x70551),x70552),x70553))+~P1(f330(f330(f332(x70551),x70552),x70554)) % 242.40/242.48 [7457]~P112(x74571)+E(f330(f330(f113(f937(x74571,a925)),f330(f305(x74571,x74572),x74573)),f330(f305(x74571,x74573),x74574)),f330(f305(x74571,x74572),x74574))+~P1(f330(f330(f239(x74571),x74573),x74574))+~P1(f330(f330(f239(x74571),x74572),x74573)) % 242.40/242.48 [7504]P40(x75041,x75042,x75043)+~E(f793(x75043,x75042,x75041,x75044),x75044)+~P1(f330(x75042,x75044))+~P1(f330(f330(f332(x75041),x75044),f330(f175(x75041),x75043))) % 242.40/242.48 [7505]P40(x75051,x75052,x75053)+~E(f800(x75053,x75052,x75051,x75054),x75054)+~P1(f330(x75052,x75054))+~P1(f330(f330(f332(x75051),x75054),f330(f175(x75051),x75053))) % 242.40/242.48 [7583]~P112(x75831)+E(f330(f330(f113(f937(x75831,a925)),f330(f305(x75831,x75832),x75833)),f306(x75831,x75833,x75834)),f306(x75831,x75832,x75834))+~P1(f330(f330(f239(x75831),x75833),x75834))+~P1(f330(f330(f239(x75831),x75832),x75833)) % 242.40/242.48 [7645]~P112(x76451)+E(f330(f330(f113(f937(x76451,a925)),f309(x76451,x76452,x76453)),f330(f305(x76451,x76453),x76454)),f309(x76451,x76452,x76454))+~P1(f330(f330(f239(x76451),x76453),x76454))+~P1(f330(f330(f240(x76451),x76452),x76453)) % 242.40/242.48 [7665]~P112(x76651)+E(f330(f330(f113(f937(x76651,a925)),f306(x76651,x76652,x76653)),f309(x76651,x76653,x76654)),f330(f305(x76651,x76652),x76654))+~P1(f330(f330(f239(x76651),x76652),x76653))+~P1(f330(f330(f240(x76651),x76653),x76654)) % 242.40/242.48 [7699]~P112(x76991)+E(f330(f330(f113(f937(x76991,a925)),f306(x76991,x76992,x76993)),f308(x76991,x76993,x76994)),f306(x76991,x76992,x76994))+~P1(f330(f330(f239(x76991),x76993),x76994))+~P1(f330(f330(f239(x76991),x76992),x76993)) % 242.40/242.48 [7700]~P112(x77001)+E(f330(f330(f113(f937(x77001,a925)),f309(x77001,x77002,x77003)),f306(x77001,x77003,x77004)),f308(x77001,x77002,x77004))+~P1(f330(f330(f239(x77001),x77003),x77004))+~P1(f330(f330(f240(x77001),x77002),x77003)) % 242.40/242.48 [7701]~P112(x77011)+E(f330(f330(f113(f937(x77011,a925)),f308(x77011,x77012,x77013)),f309(x77011,x77013,x77014)),f309(x77011,x77012,x77014))+~P1(f330(f330(f239(x77011),x77012),x77013))+~P1(f330(f330(f240(x77011),x77013),x77014)) % 242.40/242.48 [7702]~P112(x77021)+E(f330(f330(f113(f937(x77021,a925)),f308(x77021,x77022,x77023)),f308(x77021,x77023,x77024)),f308(x77021,x77022,x77024))+~P1(f330(f330(f239(x77021),x77023),x77024))+~P1(f330(f330(f239(x77021),x77022),x77023)) % 242.40/242.48 [8501]P28(x85011,x85012,f899(x85013,x85012,x85014,x85011),x85014)+~P1(f330(f63(x85012),x85013))+~P1(f330(f63(x85011),x85014))+~P1(f330(f330(f239(a930),f330(f37(x85011),x85014)),f330(f37(x85012),x85013))) % 242.40/242.48 [8522]P40(x85221,x85222,x85223)+~P1(f330(x85222,x85224))+P1(f330(x85222,f793(x85223,x85222,x85221,x85224)))+~P1(f330(f330(f332(x85221),x85224),f330(f175(x85221),x85223))) % 242.40/242.48 [8523]P40(x85231,x85232,x85233)+~P1(f330(x85232,x85234))+P1(f330(x85232,f800(x85233,x85232,x85231,x85234)))+~P1(f330(f330(f332(x85231),x85234),f330(f175(x85231),x85233))) % 242.40/242.48 [8580]~P80(x85801)+~E(f330(x85803,f486(x85803,x85804,x85802,x85801)),f80(x85801))+E(f330(f330(f330(f67(x85801,x85802,f83(x85801)),x85803),f80(x85801)),x85804),f80(x85801))+~P1(f330(f63(x85802),x85804)) % 242.40/242.48 [8858]~P127(x88581)+~P1(f330(f330(f239(x88581),f2(x88581)),x88583))+P1(f330(f330(f239(x88581),x88582),x88583))+~P1(f330(f330(f239(x88581),f330(f330(f248(x88581),x88582),f330(a115,x88584))),f330(f330(f248(x88581),x88583),f330(a115,x88584)))) % 242.40/242.48 [9179]P40(x91791,x91792,x91793)+~P1(f330(x91792,x91794))+~P1(f330(f330(f332(x91791),x91794),f330(f175(x91791),x91793)))+P1(f330(f330(f332(x91791),f793(x91793,x91792,x91791,x91794)),f330(f175(x91791),x91793))) % 242.40/242.48 [9180]P40(x91801,x91802,x91803)+~P1(f330(x91802,x91804))+~P1(f330(f330(f332(x91801),x91804),f330(f175(x91801),x91803)))+P1(f330(f330(f332(x91801),f800(x91803,x91802,x91801,x91804)),f330(f175(x91801),x91803))) % 242.40/242.48 [9260]~P80(x92601)+E(f330(f330(f330(f67(x92601,x92602,f83(x92601)),x92603),f80(x92601)),x92604),f80(x92601))+~P1(f330(f63(x92602),x92604))+P1(f330(f330(f332(x92602),f486(x92603,x92604,x92602,x92601)),x92604)) % 242.40/242.48 [9759]~P1(f330(f330(f239(a1),x97594),f2(a1)))+P1(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f83(a1),x97591),f47(a1,x97592,x97593))),x97594)),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x97593))+~P1(f330(f330(f240(a1),x97591),x97594)) % 242.40/242.48 [10194]~P1(f330(f63(x101941),x101942))+~P1(f330(f330(f332(x101941),x101944),x101942))+~P1(f330(f330(f332(x101941),x101943),x101942))+P1(f330(f330(f240(a930),f330(f37(x101941),f330(f330(f23(f937(x101941,a925)),f330(f330(f23(f937(x101941,a925)),x101942),f330(f330(f312(x101941),x101943),f191(f937(x101941,a925))))),f330(f330(f312(x101941),x101944),f191(f937(x101941,a925)))))),f330(f37(x101941),x101942))) % 242.40/242.48 [7169]~P106(x71691)+~P1(f330(f330(f239(x71691),x71692),x71694))+~P1(f330(f330(f239(x71691),x71692),x71693))+P1(f330(f330(f239(x71691),x71692),f330(f330(f104(x71691),x71693),x71694))) % 242.40/242.48 [7172]~P112(x71721)+~P1(f330(f330(f239(x71721),x71722),x71724))+~P1(f330(f330(f239(x71721),x71722),x71723))+P1(f330(f330(f239(x71721),x71722),f330(f330(f237(x71721),x71723),x71724))) % 242.40/242.48 [7173]~P112(x71731)+~P1(f330(f330(f240(x71731),x71732),x71734))+~P1(f330(f330(f240(x71731),x71732),x71733))+P1(f330(f330(f240(x71731),x71732),f330(f330(f237(x71731),x71733),x71734))) % 242.40/242.48 [7194]~P71(x71942)+E(x71941,f2(x71942))+E(f330(f330(f293(x71942),f330(f330(f248(x71942),x71941),x71943)),f330(f330(f248(x71942),x71941),x71944)),f330(f330(f248(x71942),x71941),f330(f330(f23(a930),x71943),x71944)))+~P1(f330(f330(f239(a930),x71944),x71943)) % 242.40/242.48 [7238]~P112(x72381)+~P16(x72381,f330(f330(f154(x72381),x72383),x72384))+P16(x72381,f330(f330(f154(x72381),x72382),f330(f330(f154(x72381),x72383),x72384)))+~P1(f330(f330(f239(x72381),x72382),x72383)) % 242.40/242.48 [7274]~P89(x72741)+~P1(f330(f330(f239(x72741),f2(x72741)),x72744))+~P1(f330(f330(f239(x72741),x72742),x72743))+P1(f330(f330(f239(x72741),x72742),f330(f330(f82(x72741),x72743),x72744))) % 242.40/242.48 [7275]~P89(x72751)+~P1(f330(f330(f239(x72751),f2(x72751)),x72753))+~P1(f330(f330(f239(x72751),x72752),x72754))+P1(f330(f330(f239(x72751),x72752),f330(f330(f82(x72751),x72753),x72754))) % 242.40/242.48 [7276]~P89(x72761)+~P1(f330(f330(f239(x72761),x72762),x72764))+~P1(f330(f330(f240(x72761),f2(x72761)),x72763))+P1(f330(f330(f240(x72761),x72762),f330(f330(f82(x72761),x72763),x72764))) % 242.40/242.48 [7277]~P89(x72771)+~P1(f330(f330(f239(x72771),f2(x72771)),x72773))+~P1(f330(f330(f240(x72771),x72772),x72774))+P1(f330(f330(f240(x72771),x72772),f330(f330(f82(x72771),x72773),x72774))) % 242.40/242.48 [7278]~P127(x72781)+~P1(f330(f330(f240(x72781),f2(x72781)),x72783))+~P1(f330(f330(f240(x72781),x72782),x72784))+P1(f330(f330(f240(x72781),x72782),f330(f330(f82(x72781),x72783),x72784))) % 242.40/242.48 [7319]~P112(x73191)+P1(f330(f330(f239(x73191),x73192),x73193))+P1(f330(f330(f239(x73191),x73192),x73194))+~P1(f330(f330(f239(x73191),x73192),f330(f330(f238(x73191),x73194),x73193))) % 242.40/242.48 [7320]~P112(x73201)+P1(f330(f330(f240(x73201),x73202),x73203))+P1(f330(f330(f240(x73201),x73202),x73204))+~P1(f330(f330(f240(x73201),x73202),f330(f330(f238(x73201),x73204),x73203))) % 242.40/242.48 [7618]~P113(x76182)+~P69(x76181)+~P1(f330(f330(f240(f937(x76181,x76182)),x76183),x76184))+P1(f330(f330(f239(f937(x76181,x76182)),x76183),x76184)) % 242.40/242.48 [7985]~P73(x79851)+~P1(f330(f330(f240(x79851),x79854),f2(x79851)))+~P1(f330(f330(f239(x79851),x79853),f330(f330(f293(x79851),x79852),x79854)))+P1(f330(f330(f239(x79851),x79852),f330(f330(f83(x79851),x79853),x79854))) % 242.40/242.48 [7986]~P73(x79861)+~P1(f330(f330(f240(x79861),x79864),f2(x79861)))+~P1(f330(f330(f239(x79861),x79863),f330(f330(f83(x79861),x79862),x79864)))+P1(f330(f330(f239(x79861),x79862),f330(f330(f293(x79861),x79863),x79864))) % 242.40/242.48 [7987]~P73(x79871)+~P1(f330(f330(f240(x79871),x79874),f2(x79871)))+~P1(f330(f330(f240(x79871),x79873),f330(f330(f293(x79871),x79872),x79874)))+P1(f330(f330(f240(x79871),x79872),f330(f330(f83(x79871),x79873),x79874))) % 242.40/242.48 [7988]~P73(x79881)+~P1(f330(f330(f240(x79881),x79884),f2(x79881)))+~P1(f330(f330(f240(x79881),x79883),f330(f330(f83(x79881),x79882),x79884)))+P1(f330(f330(f240(x79881),x79882),f330(f330(f293(x79881),x79883),x79884))) % 242.40/242.48 [8099]~P129(x80991)+~P1(f330(f330(f240(x80991),x80992),f2(x80991)))+~P1(f330(f330(f239(x80991),x80994),x80993))+P1(f330(f330(f239(x80991),f330(f330(f83(x80991),x80992),x80993)),f330(f330(f83(x80991),x80992),x80994))) % 242.40/242.48 [8100]~P137(x81001)+~P1(f330(f330(f239(x81001),x81002),f2(x81001)))+~P1(f330(f330(f239(x81001),x81004),x81003))+P1(f330(f330(f239(x81001),f330(f330(f83(x81001),x81002),x81003)),f330(f330(f83(x81001),x81002),x81004))) % 242.40/242.48 [8101]~P137(x81011)+~P1(f330(f330(f239(x81011),x81013),f2(x81011)))+~P1(f330(f330(f239(x81011),x81014),x81012))+P1(f330(f330(f239(x81011),f330(f330(f83(x81011),x81012),x81013)),f330(f330(f83(x81011),x81014),x81013))) % 242.40/242.48 [8102]~P72(x81021)+~P1(f330(f330(f239(x81021),x81023),f2(x81021)))+~P1(f330(f330(f239(x81021),x81024),x81022))+P1(f330(f330(f239(x81021),f330(f330(f293(x81021),x81022),x81023)),f330(f330(f293(x81021),x81024),x81023))) % 242.40/242.48 [8106]~P129(x81061)+~P1(f330(f330(f240(x81061),x81063),f2(x81061)))+~P1(f330(f330(f240(x81061),x81064),x81062))+P1(f330(f330(f240(x81061),f330(f330(f83(x81061),x81062),x81063)),f330(f330(f83(x81061),x81064),x81063))) % 242.40/242.48 [8107]~P129(x81071)+~P1(f330(f330(f240(x81071),x81072),f2(x81071)))+~P1(f330(f330(f240(x81071),x81074),x81073))+P1(f330(f330(f240(x81071),f330(f330(f83(x81071),x81072),x81073)),f330(f330(f83(x81071),x81072),x81074))) % 242.40/242.48 [8108]~P73(x81081)+~P1(f330(f330(f240(x81081),x81083),f2(x81081)))+~P1(f330(f330(f240(x81081),x81084),x81082))+P1(f330(f330(f240(x81081),f330(f330(f293(x81081),x81082),x81083)),f330(f330(f293(x81081),x81084),x81083))) % 242.40/242.48 [8109]~P127(x81091)+~P1(f330(f330(f240(x81091),f80(x81091)),x81092))+~P1(f330(f330(f239(a930),x81093),x81094))+P1(f330(f330(f239(x81091),f330(f330(f248(x81091),x81092),x81093)),f330(f330(f248(x81091),x81092),x81094))) % 242.40/242.48 [8110]~P127(x81101)+~P1(f330(f330(f239(x81101),f80(x81101)),x81102))+~P1(f330(f330(f239(a930),x81103),x81104))+P1(f330(f330(f239(x81101),f330(f330(f248(x81101),x81102),x81103)),f330(f330(f248(x81101),x81102),x81104))) % 242.40/242.48 [8112]~P127(x81121)+~P1(f330(f330(f240(x81121),f80(x81121)),x81122))+~P1(f330(f330(f240(a930),x81123),x81124))+P1(f330(f330(f240(x81121),f330(f330(f248(x81121),x81122),x81123)),f330(f330(f248(x81121),x81122),x81124))) % 242.40/242.48 [8139]P1(f330(f330(f240(a930),f2(a930)),f330(x81391,x81392)))+~P1(f330(f63(x81393),x81394))+~P1(f330(f330(f332(x81393),x81392),x81394))+~P1(f330(f330(f240(a930),f2(a930)),f330(f330(f9(x81393,a930),x81391),x81394))) % 242.40/242.48 [8148]~P129(x81481)+~P1(f330(f330(f240(x81481),f2(x81481)),x81482))+~P1(f330(f330(f239(x81481),x81483),x81484))+P1(f330(f330(f239(x81481),f330(f330(f83(x81481),x81482),x81483)),f330(f330(f83(x81481),x81482),x81484))) % 242.40/242.48 [8149]~P139(x81491)+~P1(f330(f330(f239(x81491),x81493),x81494))+~P1(f330(f330(f239(x81491),f2(x81491)),x81492))+P1(f330(f330(f239(x81491),f330(f330(f83(x81491),x81492),x81493)),f330(f330(f83(x81491),x81492),x81494))) % 242.40/242.48 [8150]~P138(x81501)+~P1(f330(f330(f239(x81501),x81503),x81504))+~P1(f330(f330(f239(x81501),f2(x81501)),x81502))+P1(f330(f330(f239(x81501),f330(f330(f83(x81501),x81502),x81503)),f330(f330(f83(x81501),x81502),x81504))) % 242.40/242.48 [8151]~P139(x81511)+~P1(f330(f330(f239(x81511),x81512),x81514))+~P1(f330(f330(f239(x81511),f2(x81511)),x81513))+P1(f330(f330(f239(x81511),f330(f330(f83(x81511),x81512),x81513)),f330(f330(f83(x81511),x81514),x81513))) % 242.40/242.48 [8152]~P127(x81521)+~P1(f330(f330(f239(x81521),x81522),x81524))+~P1(f330(f330(f239(x81521),f2(x81521)),x81522))+P1(f330(f330(f239(x81521),f330(f330(f248(x81521),x81522),x81523)),f330(f330(f248(x81521),x81524),x81523))) % 242.40/242.48 [8153]~P72(x81531)+~P1(f330(f330(f239(x81531),x81532),x81534))+~P1(f330(f330(f239(x81531),f2(x81531)),x81533))+P1(f330(f330(f239(x81531),f330(f330(f293(x81531),x81532),x81533)),f330(f330(f293(x81531),x81534),x81533))) % 242.40/242.48 [8155]~P124(x81551)+~P1(f330(f330(f240(x81551),x81553),x81554))+~P1(f330(f330(f240(x81551),f2(x81551)),x81552))+P1(f330(f330(f240(x81551),f330(f330(f83(x81551),x81552),x81553)),f330(f330(f83(x81551),x81552),x81554))) % 242.40/242.48 [8156]~P131(x81561)+~P1(f330(f330(f240(x81561),x81563),x81564))+~P1(f330(f330(f240(x81561),f2(x81561)),x81562))+P1(f330(f330(f240(x81561),f330(f330(f83(x81561),x81562),x81563)),f330(f330(f83(x81561),x81562),x81564))) % 242.40/242.48 [8157]~P129(x81571)+~P1(f330(f330(f240(x81571),x81572),x81574))+~P1(f330(f330(f240(x81571),f2(x81571)),x81573))+P1(f330(f330(f240(x81571),f330(f330(f83(x81571),x81572),x81573)),f330(f330(f83(x81571),x81574),x81573))) % 242.40/242.48 [8158]~P131(x81581)+~P1(f330(f330(f240(x81581),x81582),x81584))+~P1(f330(f330(f240(x81581),f2(x81581)),x81583))+P1(f330(f330(f240(x81581),f330(f330(f83(x81581),x81582),x81583)),f330(f330(f83(x81581),x81584),x81583))) % 242.40/242.48 [8159]~P129(x81591)+~P1(f330(f330(f240(x81591),x81593),x81594))+~P1(f330(f330(f240(x81591),f2(x81591)),x81592))+P1(f330(f330(f240(x81591),f330(f330(f83(x81591),x81592),x81593)),f330(f330(f83(x81591),x81592),x81594))) % 242.40/242.48 [8160]~P73(x81601)+~P1(f330(f330(f240(x81601),x81602),x81604))+~P1(f330(f330(f240(x81601),f2(x81601)),x81603))+P1(f330(f330(f240(x81601),f330(f330(f293(x81601),x81602),x81603)),f330(f330(f293(x81601),x81604),x81603))) % 242.40/242.48 [8202]~P111(x82022)+P1(f330(f330(f240(f937(x82021,x82022)),x82024),x82023))+~P1(f330(f330(f239(f937(x82021,x82022)),x82024),x82023))+P1(f330(f330(f239(f937(x82021,x82022)),x82023),x82024)) % 242.40/242.48 [8247]P1(f330(f330(f332(x82471),x82472),x82473))+P1(f330(f330(f332(x82471),x82472),x82474))+~P1(f330(f330(f239(f937(x82471,a925)),x82474),x82473))+P1(f330(f330(f240(f937(x82471,a925)),x82474),f330(f330(f312(x82471),x82472),x82473))) % 242.40/242.48 [8411]P1(f330(f330(f332(x84111),x84112),x84113))+P1(f330(f330(f332(x84111),x84112),x84114))+~P1(f330(f330(f240(f937(x84111,a925)),x84114),f330(f330(f312(x84111),x84112),x84113)))+P1(f330(f330(f239(f937(x84111,a925)),x84114),x84113)) % 242.40/242.48 [8478]~P129(x84781)+P1(f330(f330(f240(x84781),x84783),x84782))+P1(f330(f330(f240(x84781),x84782),x84783))+~P1(f330(f330(f240(x84781),f330(f330(f83(x84781),x84784),x84782)),f330(f330(f83(x84781),x84784),x84783))) % 242.40/242.48 [8479]~P129(x84791)+P1(f330(f330(f240(x84791),x84793),x84792))+P1(f330(f330(f240(x84791),x84792),x84793))+~P1(f330(f330(f240(x84791),f330(f330(f83(x84791),x84792),x84794)),f330(f330(f83(x84791),x84793),x84794))) % 242.40/242.48 [8490]~P129(x84901)+P1(f330(f330(f240(x84901),x84904),f2(x84901)))+P1(f330(f330(f240(x84901),x84902),x84903))+~P1(f330(f330(f240(x84901),f330(f330(f83(x84901),x84902),x84904)),f330(f330(f83(x84901),x84903),x84904))) % 242.40/242.48 [8491]~P129(x84911)+P1(f330(f330(f240(x84911),x84914),f2(x84911)))+P1(f330(f330(f240(x84911),x84912),x84913))+~P1(f330(f330(f240(x84911),f330(f330(f83(x84911),x84914),x84912)),f330(f330(f83(x84911),x84914),x84913))) % 242.40/242.48 [8495]~P129(x84951)+P1(f330(f330(f240(x84951),x84952),x84953))+P1(f330(f330(f240(x84951),f2(x84951)),x84954))+~P1(f330(f330(f240(x84951),f330(f330(f83(x84951),x84954),x84953)),f330(f330(f83(x84951),x84954),x84952))) % 242.40/242.48 [8496]~P129(x84961)+P1(f330(f330(f240(x84961),x84962),x84963))+P1(f330(f330(f240(x84961),f2(x84961)),x84964))+~P1(f330(f330(f240(x84961),f330(f330(f83(x84961),x84963),x84964)),f330(f330(f83(x84961),x84962),x84964))) % 242.40/242.48 [8509]~P129(x85091)+P1(f330(f330(f240(x85091),x85092),f2(x85091)))+P1(f330(f330(f240(x85091),f2(x85091)),x85092))+~P1(f330(f330(f240(x85091),f330(f330(f83(x85091),x85093),x85092)),f330(f330(f83(x85091),x85094),x85092))) % 242.40/242.48 [8510]~P129(x85101)+P1(f330(f330(f240(x85101),x85102),f2(x85101)))+P1(f330(f330(f240(x85101),f2(x85101)),x85102))+~P1(f330(f330(f240(x85101),f330(f330(f83(x85101),x85102),x85103)),f330(f330(f83(x85101),x85102),x85104))) % 242.40/242.48 [8540]~P129(x85401)+~P1(f330(f330(f240(x85401),x85404),f2(x85401)))+P1(f330(f330(f239(x85401),x85402),x85403))+~P1(f330(f330(f239(x85401),f330(f330(f83(x85401),x85404),x85403)),f330(f330(f83(x85401),x85404),x85402))) % 242.40/242.48 [8541]~P129(x85411)+~P1(f330(f330(f240(x85411),x85414),f2(x85411)))+P1(f330(f330(f240(x85411),x85412),x85413))+~P1(f330(f330(f240(x85411),f330(f330(f83(x85411),x85414),x85413)),f330(f330(f83(x85411),x85414),x85412))) % 242.40/242.48 [8554]~P127(x85543)+~P1(f330(f330(f240(x85543),f80(x85543)),x85544))+P1(f330(f330(f239(a930),x85541),x85542))+~P1(f330(f330(f239(x85543),f330(f330(f248(x85543),x85544),x85541)),f330(f330(f248(x85543),x85544),x85542))) % 242.40/242.48 [8556]~P127(x85563)+~P1(f330(f330(f240(x85563),f80(x85563)),x85564))+P1(f330(f330(f240(a930),x85561),x85562))+~P1(f330(f330(f240(x85563),f330(f330(f248(x85563),x85564),x85561)),f330(f330(f248(x85563),x85564),x85562))) % 242.40/242.48 [8566]~P129(x85661)+P1(f330(f330(f239(x85661),x85662),x85663))+~P1(f330(f330(f240(x85661),f2(x85661)),x85664))+~P1(f330(f330(f239(x85661),f330(f330(f83(x85661),x85664),x85662)),f330(f330(f83(x85661),x85664),x85663))) % 242.40/242.48 [8567]~P131(x85671)+P1(f330(f330(f239(x85671),x85672),x85673))+~P1(f330(f330(f240(x85671),f2(x85671)),x85674))+~P1(f330(f330(f239(x85671),f330(f330(f83(x85671),x85674),x85672)),f330(f330(f83(x85671),x85674),x85673))) % 242.40/242.48 [8568]~P131(x85681)+P1(f330(f330(f239(x85681),x85682),x85683))+~P1(f330(f330(f240(x85681),f2(x85681)),x85684))+~P1(f330(f330(f239(x85681),f330(f330(f83(x85681),x85682),x85684)),f330(f330(f83(x85681),x85683),x85684))) % 242.40/242.48 [8569]~P129(x85691)+P1(f330(f330(f240(x85691),x85692),x85693))+~P1(f330(f330(f240(x85691),f2(x85691)),x85694))+~P1(f330(f330(f240(x85691),f330(f330(f83(x85691),x85694),x85692)),f330(f330(f83(x85691),x85694),x85693))) % 242.40/242.48 [8570]~P131(x85701)+P1(f330(f330(f240(x85701),x85702),x85703))+~P1(f330(f330(f239(x85701),f2(x85701)),x85704))+~P1(f330(f330(f240(x85701),f330(f330(f83(x85701),x85704),x85702)),f330(f330(f83(x85701),x85704),x85703))) % 242.40/242.48 [8571]~P132(x85711)+P1(f330(f330(f240(x85711),x85712),x85713))+~P1(f330(f330(f239(x85711),f2(x85711)),x85714))+~P1(f330(f330(f240(x85711),f330(f330(f83(x85711),x85714),x85712)),f330(f330(f83(x85711),x85714),x85713))) % 242.40/242.48 [8572]~P127(x85721)+~P1(f330(f330(f239(x85721),f2(x85721)),x85723))+P1(f330(f330(f240(x85721),x85722),x85723))+~P1(f330(f330(f240(x85721),f330(f330(f248(x85721),x85722),x85724)),f330(f330(f248(x85721),x85723),x85724))) % 242.40/242.48 [8573]~P131(x85731)+P1(f330(f330(f240(x85731),x85732),x85733))+~P1(f330(f330(f239(x85731),f2(x85731)),x85734))+~P1(f330(f330(f240(x85731),f330(f330(f83(x85731),x85732),x85734)),f330(f330(f83(x85731),x85733),x85734))) % 242.40/242.48 [8574]~P132(x85741)+P1(f330(f330(f240(x85741),x85742),x85743))+~P1(f330(f330(f239(x85741),f2(x85741)),x85744))+~P1(f330(f330(f240(x85741),f330(f330(f83(x85741),x85742),x85744)),f330(f330(f83(x85741),x85743),x85744))) % 242.40/242.48 [8617]P1(f330(f330(f332(x86171),x86172),x86173))+~P1(f330(f330(f239(f937(x86171,a925)),x86173),x86174))+~P1(f330(f330(f240(f937(x86171,a925)),x86173),x86174))+P1(f330(f330(f240(f937(x86171,a925)),x86173),f330(f330(f312(x86171),x86172),x86174))) % 242.40/242.48 [9008]E(f330(f330(f23(a1),f390(x90081,x90082,x90083,x90084)),f391(x90081,x90082,x90083,x90084)),x90084)+~P1(f330(f330(f240(a1),f2(a1)),x90083))+~P1(f330(f330(f239(a1),x90081),x90084))+P1(f330(f330(f239(a1),x90081),f330(f330(f82(a1),x90084),x90083))) % 242.40/242.48 [9009]E(f330(f330(f23(a1),f414(x90091,x90092,x90093,x90094)),f411(x90091,x90092,x90093,x90094)),x90094)+~P1(f330(f330(f240(a1),f2(a1)),x90093))+~P1(f330(f330(f240(a1),x90091),x90094))+P1(f330(f330(f240(a1),x90091),f330(f330(f82(a1),x90094),x90093))) % 242.40/242.48 [9159]~E(f330(f330(f167(x91591),x91593),f699(x91594,x91593,x91591,x91592)),f330(f330(f167(x91591),x91594),f699(x91594,x91593,x91591,x91592)))+E(f330(f330(f178(x91591),x91592),x91593),f330(f330(f178(x91591),x91592),x91594))+~P1(f330(f330(f239(a930),x91592),f330(f192(f931(x91591)),x91593)))+~P1(f330(f330(f239(a930),x91592),f330(f192(f931(x91591)),x91594))) % 242.40/242.48 [9228]~P1(f330(f330(f240(a1),f2(a1)),x92283))+~P1(f330(f330(f239(a1),x92281),x92284))+P1(f330(f330(f332(a1),f390(x92281,x92282,x92283,x92284)),x92282))+P1(f330(f330(f239(a1),x92281),f330(f330(f82(a1),x92284),x92283))) % 242.40/242.48 [9229]~P1(f330(f330(f240(a1),f2(a1)),x92293))+~P1(f330(f330(f240(a1),x92291),x92294))+P1(f330(f330(f332(a1),f414(x92291,x92292,x92293,x92294)),x92292))+P1(f330(f330(f240(a1),x92291),f330(f330(f82(a1),x92294),x92293))) % 242.40/242.48 [9269]~P106(x92691)+~P1(f330(f63(x92691),x92693))+~P1(f330(f330(f332(x92691),x92694),x92693))+P1(f330(f330(f239(x92691),f330(f330(f66(x92691,x92691,f104(x92691)),x92692),x92693)),f330(f330(f104(x92691),x92694),x92692))) % 242.40/242.48 [9270]~P112(x92701)+~P1(f330(f63(x92701),x92703))+~P1(f330(f330(f332(x92701),x92704),x92703))+P1(f330(f330(f239(x92701),f330(f330(f66(x92701,x92701,f237(x92701)),x92702),x92703)),f330(f330(f237(x92701),x92704),x92702))) % 242.40/242.48 [9316]E(f330(f330(f178(x93161),x93162),x93163),f330(f330(f178(x93161),x93162),x93164))+P1(f330(f330(f240(a930),f699(x93163,x93164,x93161,x93162)),x93162))+~P1(f330(f330(f239(a930),x93162),f330(f192(f931(x93161)),x93163)))+~P1(f330(f330(f239(a930),x93162),f330(f192(f931(x93161)),x93164))) % 242.40/242.48 [9321]~P1(f330(f330(f240(a1),f2(a1)),x93213))+~P1(f330(f330(f239(a1),x93211),x93212))+P1(f330(f330(f332(a1),f391(x93211,x93214,x93213,x93212)),f306(a1,f80(a1),x93213)))+P1(f330(f330(f239(a1),x93211),f330(f330(f82(a1),x93212),x93213))) % 242.40/242.48 [9322]~P1(f330(f330(f240(a1),f2(a1)),x93223))+~P1(f330(f330(f240(a1),x93221),x93222))+P1(f330(f330(f332(a1),f411(x93221,x93224,x93223,x93222)),f306(a1,f80(a1),x93223)))+P1(f330(f330(f240(a1),x93221),f330(f330(f82(a1),x93222),x93223))) % 242.40/242.48 [9648]~P112(x96481)+~P1(f330(f63(x96481),x96484))+P1(f330(f330(f332(x96481),f651(x96482,x96483,x96484,x96481)),x96484))+P1(f330(f330(f239(x96481),f330(f330(f66(x96481,x96481,f238(x96481)),x96482),x96484)),f330(f330(f238(x96481),x96483),x96482))) % 242.40/242.48 [9649]~P105(x96491)+~P1(f330(f63(x96491),x96494))+P1(f330(f330(f332(x96491),f654(x96492,x96493,x96494,x96491)),x96494))+P1(f330(f330(f239(x96491),f330(f330(f66(x96491,x96491,f113(x96491)),x96492),x96494)),f330(f330(f113(x96491),x96493),x96492))) % 242.40/242.48 [9776]~P105(x97761)+~P1(f330(f63(x97761),x97763))+~P1(f330(f330(f239(x97761),f654(x97762,x97764,x97763,x97761)),x97764))+P1(f330(f330(f239(x97761),f330(f330(f66(x97761,x97761,f113(x97761)),x97762),x97763)),f330(f330(f113(x97761),x97764),x97762))) % 242.40/242.48 [9777]~P112(x97771)+~P1(f330(f63(x97771),x97773))+~P1(f330(f330(f239(x97771),f651(x97772,x97774,x97773,x97771)),x97774))+P1(f330(f330(f239(x97771),f330(f330(f66(x97771,x97771,f238(x97771)),x97772),x97773)),f330(f330(f238(x97771),x97774),x97772))) % 242.40/242.48 [9779]~P1(f330(f330(f239(a1),f2(a1)),x97794))+~P1(f330(f330(f240(a1),f2(a1)),x97793))+~P1(f330(f330(f240(a1),x97794),x97791))+P1(f330(f330(f240(a1),f330(f330(f82(a1),f330(f330(f83(a1),x97791),f47(a1,x97792,x97793))),x97794)),f330(f330(f83(a1),x97791),x97793))) % 242.40/242.48 [10165]E(x101651,x101652)+P1(f330(f330(f332(f936(f931(x101653),f931(x101653))),f330(f330(f256(f931(x101653),f931(x101653)),x101652),x101651)),f150(x101653,x101654)))+P1(f330(f330(f332(f936(f931(x101653),f931(x101653))),f330(f330(f256(f931(x101653),f931(x101653)),x101651),x101652)),f150(x101653,x101654)))+~P1(f330(f330(f332(f936(x101653,x101653)),f330(f330(f256(x101653,x101653),f671(x101651,x101652,x101654,x101653)),f673(x101651,x101652,x101654,x101653))),x101654)) % 242.40/242.48 [10166]E(x101661,x101662)+P1(f330(f330(f332(f936(f931(x101663),f931(x101663))),f330(f330(f256(f931(x101663),f931(x101663)),x101662),x101661)),f150(x101663,x101664)))+P1(f330(f330(f332(f936(f931(x101663),f931(x101663))),f330(f330(f256(f931(x101663),f931(x101663)),x101661),x101662)),f150(x101663,x101664)))+~P1(f330(f330(f332(f936(x101663,x101663)),f330(f330(f256(x101663,x101663),f673(x101661,x101662,x101664,x101663)),f671(x101661,x101662,x101664,x101663))),x101664)) % 242.40/242.48 [7690]~P105(x76901)+~P1(f330(f330(f239(x76901),x76903),x76904))+~P1(f330(f330(f239(x76901),x76902),x76904))+P1(f330(f330(f239(x76901),f330(f330(f113(x76901),x76902),x76903)),x76904)) % 242.40/242.48 [7693]~P112(x76931)+~P1(f330(f330(f239(x76931),x76933),x76934))+~P1(f330(f330(f239(x76931),x76932),x76934))+P1(f330(f330(f239(x76931),f330(f330(f238(x76931),x76932),x76933)),x76934)) % 242.40/242.48 [7694]~P112(x76941)+~P1(f330(f330(f240(x76941),x76943),x76944))+~P1(f330(f330(f240(x76941),x76942),x76944))+P1(f330(f330(f240(x76941),f330(f330(f238(x76941),x76942),x76943)),x76944)) % 242.40/242.48 [8010]~E(x80101,x80103)+E(f142(a930,f330(f305(a930,x80101),x80102)),f330(f330(f154(a930),x80103),x80104))+~E(f142(a930,f330(f305(a930,f330(f330(f82(a930),x80101),f80(a930))),x80102)),x80104)+~P1(f330(f330(f240(a930),x80101),x80102)) % 242.40/242.48 [8020]~P112(x80201)+P1(f330(f330(f239(x80201),x80202),x80203))+P1(f330(f330(f239(x80201),x80204),x80203))+~P1(f330(f330(f239(x80201),f330(f330(f237(x80201),x80204),x80202)),x80203)) % 242.40/242.48 [8021]~P112(x80211)+P1(f330(f330(f240(x80211),x80212),x80213))+P1(f330(f330(f240(x80211),x80214),x80213))+~P1(f330(f330(f240(x80211),f330(f330(f237(x80211),x80214),x80212)),x80213)) % 242.40/242.48 [8310]~P72(x83101)+~P1(f330(f330(f240(x83101),f2(x83101)),x83103))+~P1(f330(f330(f239(x83101),x83102),f330(f330(f293(x83101),x83104),x83103)))+P1(f330(f330(f239(x83101),f330(f330(f83(x83101),x83102),x83103)),x83104)) % 242.40/242.48 [8311]~P73(x83111)+~P1(f330(f330(f240(x83111),f2(x83111)),x83113))+~P1(f330(f330(f239(x83111),x83112),f330(f330(f293(x83111),x83114),x83113)))+P1(f330(f330(f239(x83111),f330(f330(f83(x83111),x83112),x83113)),x83114)) % 242.40/242.48 [8313]~P72(x83131)+~P1(f330(f330(f240(x83131),f2(x83131)),x83133))+~P1(f330(f330(f239(x83131),x83132),f330(f330(f83(x83131),x83134),x83133)))+P1(f330(f330(f239(x83131),f330(f330(f293(x83131),x83132),x83133)),x83134)) % 242.40/242.48 [8314]~P73(x83141)+~P1(f330(f330(f240(x83141),f2(x83141)),x83143))+~P1(f330(f330(f239(x83141),x83142),f330(f330(f83(x83141),x83144),x83143)))+P1(f330(f330(f239(x83141),f330(f330(f293(x83141),x83142),x83143)),x83144)) % 242.40/242.48 [8315]~P72(x83151)+~P1(f330(f330(f240(x83151),f2(x83151)),x83153))+~P1(f330(f330(f240(x83151),x83152),f330(f330(f293(x83151),x83154),x83153)))+P1(f330(f330(f240(x83151),f330(f330(f83(x83151),x83152),x83153)),x83154)) % 242.40/242.48 [8316]~P73(x83161)+~P1(f330(f330(f240(x83161),f2(x83161)),x83163))+~P1(f330(f330(f240(x83161),x83162),f330(f330(f293(x83161),x83164),x83163)))+P1(f330(f330(f240(x83161),f330(f330(f83(x83161),x83162),x83163)),x83164)) % 242.40/242.48 [8318]~P72(x83181)+~P1(f330(f330(f240(x83181),f2(x83181)),x83183))+~P1(f330(f330(f240(x83181),x83182),f330(f330(f83(x83181),x83184),x83183)))+P1(f330(f330(f240(x83181),f330(f330(f293(x83181),x83182),x83183)),x83184)) % 242.40/242.48 [8319]~P73(x83191)+~P1(f330(f330(f240(x83191),f2(x83191)),x83193))+~P1(f330(f330(f240(x83191),x83192),f330(f330(f83(x83191),x83194),x83193)))+P1(f330(f330(f240(x83191),f330(f330(f293(x83191),x83192),x83193)),x83194)) % 242.40/242.48 [8447]~P72(x84471)+~P1(f330(f330(f240(x84471),f2(x84471)),x84474))+P1(f330(f330(f239(x84471),x84472),f330(f330(f83(x84471),x84473),x84474)))+~P1(f330(f330(f239(x84471),f330(f330(f293(x84471),x84472),x84474)),x84473)) % 242.40/242.48 [8449]~P72(x84491)+~P1(f330(f330(f240(x84491),f2(x84491)),x84494))+P1(f330(f330(f239(x84491),x84492),f330(f330(f293(x84491),x84493),x84494)))+~P1(f330(f330(f239(x84491),f330(f330(f83(x84491),x84492),x84494)),x84493)) % 242.40/242.48 [8450]~P73(x84501)+~P1(f330(f330(f240(x84501),f2(x84501)),x84504))+P1(f330(f330(f239(x84501),x84502),f330(f330(f83(x84501),x84503),x84504)))+~P1(f330(f330(f239(x84501),f330(f330(f293(x84501),x84502),x84504)),x84503)) % 242.40/242.48 [8451]~P73(x84511)+~P1(f330(f330(f240(x84511),f2(x84511)),x84514))+P1(f330(f330(f239(x84511),x84512),f330(f330(f293(x84511),x84513),x84514)))+~P1(f330(f330(f239(x84511),f330(f330(f83(x84511),x84512),x84514)),x84513)) % 242.40/242.48 [8452]~P72(x84521)+~P1(f330(f330(f240(x84521),f2(x84521)),x84524))+P1(f330(f330(f240(x84521),x84522),f330(f330(f83(x84521),x84523),x84524)))+~P1(f330(f330(f240(x84521),f330(f330(f293(x84521),x84522),x84524)),x84523)) % 242.40/242.48 [8454]~P72(x84541)+~P1(f330(f330(f240(x84541),f2(x84541)),x84544))+P1(f330(f330(f240(x84541),x84542),f330(f330(f293(x84541),x84543),x84544)))+~P1(f330(f330(f240(x84541),f330(f330(f83(x84541),x84542),x84544)),x84543)) % 242.40/242.48 [8455]~P73(x84551)+~P1(f330(f330(f240(x84551),f2(x84551)),x84554))+P1(f330(f330(f240(x84551),x84552),f330(f330(f83(x84551),x84553),x84554)))+~P1(f330(f330(f240(x84551),f330(f330(f293(x84551),x84552),x84554)),x84553)) % 242.40/242.48 [8456]~P73(x84561)+~P1(f330(f330(f240(x84561),f2(x84561)),x84564))+P1(f330(f330(f240(x84561),x84562),f330(f330(f293(x84561),x84563),x84564)))+~P1(f330(f330(f240(x84561),f330(f330(f83(x84561),x84562),x84564)),x84563)) % 242.40/242.48 [8621]~P73(x86211)+~P1(f330(f330(f240(x86211),x86213),f2(x86211)))+~P1(f330(f330(f239(x86211),f330(f330(f293(x86211),x86214),x86213)),x86212))+P1(f330(f330(f239(x86211),f330(f330(f83(x86211),x86212),x86213)),x86214)) % 242.40/242.48 [8622]~P73(x86221)+~P1(f330(f330(f240(x86221),x86223),f2(x86221)))+~P1(f330(f330(f239(x86221),f330(f330(f83(x86221),x86224),x86223)),x86222))+P1(f330(f330(f239(x86221),f330(f330(f293(x86221),x86222),x86223)),x86224)) % 242.40/242.48 [8623]~P73(x86231)+~P1(f330(f330(f240(x86231),x86233),f2(x86231)))+~P1(f330(f330(f240(x86231),f330(f330(f293(x86231),x86234),x86233)),x86232))+P1(f330(f330(f240(x86231),f330(f330(f83(x86231),x86232),x86233)),x86234)) % 242.40/242.48 [8624]~P73(x86241)+~P1(f330(f330(f240(x86241),x86243),f2(x86241)))+~P1(f330(f330(f240(x86241),f330(f330(f83(x86241),x86244),x86243)),x86242))+P1(f330(f330(f240(x86241),f330(f330(f293(x86241),x86242),x86243)),x86244)) % 242.40/242.48 [8636]~P1(f330(x86361,x86364))+~P1(f330(f330(f240(a930),x86362),f330(f330(f83(a930),x86363),f330(a115,x86364))))+P1(f330(x86361,f330(f330(f38(a930),x86362),x86363)))+~P1(f330(f330(f239(a930),f330(f330(f83(a930),x86363),x86364)),x86362)) % 242.40/242.48 [8856]~P105(x88561)+~P1(f330(f63(x88561),x88564))+~P1(f330(f330(f332(x88561),x88562),x88564))+P1(f330(f330(f239(x88561),f330(f330(f113(x88561),x88562),x88563)),f330(f330(f66(x88561,x88561,f113(x88561)),x88563),x88564))) % 242.40/242.48 [8857]~P112(x88571)+~P1(f330(f63(x88571),x88574))+~P1(f330(f330(f332(x88571),x88572),x88574))+P1(f330(f330(f239(x88571),f330(f330(f238(x88571),x88572),x88573)),f330(f330(f66(x88571,x88571,f238(x88571)),x88573),x88574))) % 242.40/242.48 [9010]~P1(f330(f63(x90101),x90102))+E(f330(f37(x90101),f330(f330(f23(f937(x90101,a925)),x90102),f330(f330(f312(x90101),x90103),x90104))),f330(f330(f23(a930),f330(f37(x90101),f330(f330(f23(f937(x90101,a925)),x90102),x90104))),f80(a930)))+P1(f330(f330(f332(x90101),x90103),x90104))+~P1(f330(f330(f332(x90101),x90103),x90102)) % 242.40/242.48 [9087]E(f330(f330(f82(a1),f392(x90871,x90872,x90873,x90874)),f393(x90871,x90872,x90873,x90874)),x90874)+~P1(f330(f330(f240(a1),f2(a1)),x90873))+~P1(f330(f330(f239(a1),x90874),x90871))+P1(f330(f330(f239(a1),f330(f330(f23(a1),x90874),x90873)),x90871)) % 242.40/242.48 [9088]E(f330(f330(f82(a1),f412(x90881,x90882,x90883,x90884)),f413(x90881,x90882,x90883,x90884)),x90884)+~P1(f330(f330(f240(a1),f2(a1)),x90883))+~P1(f330(f330(f240(a1),x90884),x90881))+P1(f330(f330(f240(a1),f330(f330(f23(a1),x90884),x90883)),x90881)) % 242.40/242.48 [9301]~P1(f330(f330(f240(a1),f2(a1)),x93013))+~P1(f330(f330(f239(a1),x93014),x93011))+P1(f330(f330(f332(a1),f392(x93011,x93012,x93013,x93014)),x93012))+P1(f330(f330(f239(a1),f330(f330(f23(a1),x93014),x93013)),x93011)) % 242.40/242.48 [9302]~P1(f330(f330(f240(a1),f2(a1)),x93023))+~P1(f330(f330(f240(a1),x93024),x93021))+P1(f330(f330(f332(a1),f412(x93021,x93022,x93023,x93024)),x93022))+P1(f330(f330(f240(a1),f330(f330(f23(a1),x93024),x93023)),x93021)) % 242.40/242.48 [9389]~P1(f330(f330(f240(a1),f2(a1)),x93892))+~P1(f330(f330(f239(a1),x93891),x93893))+P1(f330(f330(f332(a1),f393(x93893,x93894,x93892,x93891)),f306(a1,f80(a1),x93892)))+P1(f330(f330(f239(a1),f330(f330(f23(a1),x93891),x93892)),x93893)) % 242.40/242.48 [9390]~P1(f330(f330(f240(a1),f2(a1)),x93902))+~P1(f330(f330(f240(a1),x93901),x93903))+P1(f330(f330(f332(a1),f413(x93903,x93904,x93902,x93901)),f306(a1,f80(a1),x93902)))+P1(f330(f330(f240(a1),f330(f330(f23(a1),x93901),x93902)),x93903)) % 242.40/242.48 [9413]~P1(f330(f330(f239(a1),f2(a1)),x94134))+~P1(f330(f330(f240(a1),f2(a1)),x94133))+~P1(f330(f330(f240(a1),x94134),x94131))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),f330(f330(f83(a1),x94131),f47(a1,x94132,x94133))),x94134))) % 242.40/242.48 [9443]E(x94431,x94432)+~P44(x94433,x94434)+~P1(f330(f330(f332(f936(x94433,x94433)),f330(f330(f256(x94433,x94433),x94432),x94431)),x94434))+~P1(f330(f330(f332(f936(x94433,x94433)),f330(f330(f256(x94433,x94433),x94431),x94432)),x94434)) % 242.40/242.48 [9476]~P106(x94761)+~P1(f330(f63(x94761),x94764))+~P1(f330(f330(f239(x94761),x94762),f653(x94763,x94762,x94764,x94761)))+P1(f330(f330(f239(x94761),f330(f330(f104(x94761),x94762),x94763)),f330(f330(f66(x94761,x94761,f104(x94761)),x94763),x94764))) % 242.40/242.48 [9477]~P112(x94771)+~P1(f330(f63(x94771),x94774))+~P1(f330(f330(f239(x94771),x94772),f650(x94773,x94772,x94774,x94771)))+P1(f330(f330(f239(x94771),f330(f330(f237(x94771),x94772),x94773)),f330(f330(f66(x94771,x94771,f237(x94771)),x94773),x94774))) % 242.40/242.48 [9491]~P1(f330(f330(f239(a1),x94914),f2(a1)))+~P1(f330(f330(f240(a1),f2(a1)),x94912))+~P1(f330(f330(f240(a1),x94911),x94914))+P1(f330(f330(f240(a1),f330(f330(f83(a1),x94911),x94912)),f330(f330(f82(a1),f330(f330(f83(a1),x94911),f47(a1,x94913,x94912))),x94914))) % 242.40/242.48 [9516]P1(f330(f63(x95161),x95162))+~P1(f330(f63(x95161),x95163))+~P1(f330(f330(f332(f937(x95161,a925)),x95162),f330(f330(f62(x95161),x95163),x95164)))+~P1(f330(f330(f239(f937(f936(x95161,x95161),a925)),x95164),f330(f330(f258(x95161,x95161),x95163),f330(f16(f937(x95161,a925),x95161),x95163)))) % 242.40/242.48 [9540]~P112(x95401)+~P1(f330(f63(x95401),x95404))+P1(f330(f330(f332(x95401),f650(x95402,x95403,x95404,x95401)),x95404))+P1(f330(f330(f239(x95401),f330(f330(f237(x95401),x95403),x95402)),f330(f330(f66(x95401,x95401,f237(x95401)),x95402),x95404))) % 242.40/242.48 [9541]~P106(x95411)+~P1(f330(f63(x95411),x95414))+P1(f330(f330(f332(x95411),f653(x95412,x95413,x95414,x95411)),x95414))+P1(f330(f330(f239(x95411),f330(f330(f104(x95411),x95413),x95412)),f330(f330(f66(x95411,x95411,f104(x95411)),x95412),x95414))) % 242.40/242.48 [9943]~P1(f330(f63(x99432),x99434))+~P1(f330(f63(x99431),x99433))+~P1(f330(f330(f239(a930),f330(f37(x99432),x99434)),f330(f37(x99431),x99433)))+P1(f330(f330(f239(f937(x99431,a925)),f330(f313(x99432,x99431,f899(x99433,x99431,x99434,x99432)),x99434)),x99433)) % 242.40/242.48 [9589]~P1(f330(f330(f332(x95891),x95892),x95894))+P1(f330(f330(f332(x95891),x95892),x95893))+~P1(f330(f330(f240(f937(x95891,a925)),x95894),f330(f330(f312(x95891),x95892),x95893)))+P1(f330(f330(f240(f937(x95891,a925)),f330(f330(f23(f937(x95891,a925)),x95894),f330(f330(f312(x95891),x95892),f191(f937(x95891,a925))))),x95893)) % 242.40/242.48 [9756]~P1(f330(f330(f332(x97561),x97562),x97564))+P1(f330(f330(f332(x97561),x97562),x97563))+P1(f330(f330(f240(f937(x97561,a925)),x97564),f330(f330(f312(x97561),x97562),x97563)))+~P1(f330(f330(f240(f937(x97561,a925)),f330(f330(f23(f937(x97561,a925)),x97564),f330(f330(f312(x97561),x97562),f191(f937(x97561,a925))))),x97563)) % 242.40/242.48 [9782]P1(f330(f330(f332(x97821),x97822),x97823))+~P1(f330(f330(f239(f937(x97821,a925)),x97824),x97823))+P1(f330(f330(f240(f937(x97821,a925)),x97824),f330(f330(f312(x97821),x97822),x97823)))+~P1(f330(f330(f240(f937(x97821,a925)),f330(f330(f23(f937(x97821,a925)),x97824),f330(f330(f312(x97821),x97822),f191(f937(x97821,a925))))),x97823)) % 242.40/242.48 [9787]~P1(f330(f330(f332(x97871),x97873),x97872))+~P1(f330(f330(f240(f937(x97871,a925)),x97872),x97874))+P1(f330(f330(f240(f937(x97871,a925)),x97872),f330(f330(f312(x97871),x97873),x97874)))+~P1(f330(f330(f240(f937(x97871,a925)),f330(f330(f23(f937(x97871,a925)),x97872),f330(f330(f312(x97871),x97873),f191(f937(x97871,a925))))),x97874)) % 242.40/242.48 [9803]~P1(f330(f330(f239(f937(x98031,a925)),x98032),x98034))+~P1(f330(f330(f240(f937(x98031,a925)),x98032),x98034))+P1(f330(f330(f240(f937(x98031,a925)),x98032),f330(f330(f312(x98031),x98033),x98034)))+~P1(f330(f330(f240(f937(x98031,a925)),f330(f330(f23(f937(x98031,a925)),x98032),f330(f330(f312(x98031),x98033),f191(f937(x98031,a925))))),x98034)) % 242.40/242.48 [9848]~P113(x98482)+~P69(x98481)+~P1(f330(f330(f239(f937(x98481,x98482)),x98483),x98484))+P1(f330(f59(x98481),f330(f330(f18(x98481,x98482,a925),f330(f330(f8(x98482,f937(x98482,a925),x98481),f239(x98482)),x98483)),x98484))) % 242.40/242.48 [9991]~P113(x99912)+~P69(x99911)+P1(f330(f330(f239(f937(x99911,x99912)),x99913),x99914))+~P1(f330(f59(x99911),f330(f330(f18(x99911,x99912,a925),f330(f330(f8(x99912,f937(x99912,a925),x99911),f239(x99912)),x99913)),x99914))) % 242.40/242.48 [10156]E(f330(f330(f167(x101561),f330(f330(f167(f931(x101561)),f182(x101561,x101562)),x101563)),x101564),f330(f330(f167(x101561),f330(f330(f167(f931(x101561)),x101562),x101564)),x101563))+~P1(f330(f330(f240(a930),x101563),f330(f192(f931(f931(x101561))),f182(x101561,x101562))))+~P16(a930,f330(f171(a930),f330(f330(f157(f931(x101561),a930),f192(f931(x101561))),x101562)))+~P1(f330(f330(f240(a930),x101564),f330(f192(f931(f931(x101561))),f330(f139(f931(x101561),f330(f330(f8(a930,a925,f931(x101561)),f330(f240(a930),x101563)),f192(f931(x101561)))),x101562)))) % 242.40/242.48 [10177]~P1(f330(f330(f332(f936(a930,a930)),x101774),x101771))+~P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),x101774),x101772)),a34))+~P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x101771),x101773)),a35))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x101771),f330(f330(f312(f936(a930,a930)),x101772),x101773))),a35)) % 242.40/242.48 [10178]~P1(f330(f330(f332(f936(a930,a930)),x101784),x101781))+~P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),x101784),x101782)),a72))+~P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x101781),x101783)),a73))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x101781),f330(f330(f312(f936(a930,a930)),x101782),x101783))),a73)) % 242.40/242.48 [10068]~P113(x100682)+~P69(x100681)+~P1(f330(f330(f240(f937(x100681,x100682)),x100683),x100684))+P1(f330(f58(x100681),f330(f330(f8(a925,a925,x100681),a325),f330(f330(f18(x100681,x100682,a925),f330(f330(f8(x100682,f937(x100682,a925),x100681),a327),x100683)),x100684)))) % 242.40/242.48 [10190]~P1(f330(f330(f332(f936(a930,a930)),x101904),x101903))+~P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),x101901),x101904)),a34))+~P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x101902),x101903)),a36))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),f330(f330(f312(f936(a930,a930)),x101901),x101902)),x101903)),a36)) % 242.40/242.48 [10191]~P1(f330(f330(f332(f936(a930,a930)),x101914),x101913))+~P1(f330(f330(f332(f936(f936(a930,a930),f936(a930,a930))),f330(f330(f256(f936(a930,a930),f936(a930,a930)),x101911),x101914)),a72))+~P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x101912),x101913)),a71))+P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),f330(f330(f312(f936(a930,a930)),x101911),x101912)),x101913)),a71)) % 242.40/242.48 [6273]~P10(x62734,x62731)+~P1(f330(f330(x62731,x62732),x62735))+P1(f330(f330(x62731,x62732),x62733))+~P1(f330(f330(x62731,x62735),x62733)) % 242.40/242.48 [6274]~P56(x62744,x62741)+~P1(f330(f330(x62741,x62742),x62745))+P1(f330(f330(x62741,x62742),x62743))+~P1(f330(f330(x62741,x62745),x62743)) % 242.40/242.48 [6275]~P18(x62754,x62751)+~P1(f330(f330(x62751,x62752),x62755))+P1(f330(f330(x62751,x62752),x62753))+~P1(f330(f330(x62751,x62755),x62753)) % 242.40/242.48 [8995]~P10(x89954,x89953)+~P1(f330(x89951,x89955))+P1(f330(x89952,f849(x89952,x89951,x89953,x89954)))+P1(f330(x89951,f847(x89952,x89951,x89953,x89954))) % 242.40/242.48 [9236]~P10(x92364,x92363)+~P1(f330(x92362,x92365))+~P1(f330(x92361,f847(x92361,x92362,x92363,x92364)))+P1(f330(x92361,f849(x92361,x92362,x92363,x92364))) % 242.40/242.48 [9427]~P10(x94274,x94273)+~P1(f330(x94271,x94275))+P1(f330(f330(f332(x94274),f849(x94272,x94271,x94273,x94274)),f274(x94274,x94273)))+P1(f330(x94271,f847(x94272,x94271,x94273,x94274))) % 242.40/242.48 [9547]~P10(x95471,x95474)+~P1(f330(x95473,x95475))+~P1(f330(x95472,f847(x95472,x95473,x95474,x95471)))+P1(f330(f330(f332(x95471),f849(x95472,x95473,x95474,x95471)),f274(x95471,x95474))) % 242.40/242.48 [9837]~P43(x98371,x98374)+P1(f330(f330(f332(f936(f931(x98371),f931(x98371))),f330(f330(f256(f931(x98371),f931(x98371)),x98372),x98373)),f150(x98371,x98374)))+~P1(f330(f330(f332(f936(f931(x98371),f931(x98371))),f330(f330(f256(f931(x98371),f931(x98371)),x98372),x98375)),f150(x98371,x98374)))+~P1(f330(f330(f332(f936(f931(x98371),f931(x98371))),f330(f330(f256(f931(x98371),f931(x98371)),x98375),x98373)),f150(x98371,x98374))) % 242.40/242.48 [5518]~P6(x55185)+E(x55181,x55182)+~E(x55183,x55184)+~E(f330(f330(f23(x55185),x55183),x55184),f330(f330(f23(x55185),x55181),x55182)) % 242.40/242.48 [6388]~P20(x63885,x63881,x63883)+E(f330(f330(x63881,x63882),f330(x63883,x63884)),f330(x63883,x63884))+~P1(f330(f63(x63885),x63884))+~P1(f330(f330(f332(x63885),x63882),x63884)) % 242.40/242.48 [6574]~P83(x65741)+~E(f330(f330(f23(x65741),x65744),x65745),f330(f330(f23(x65741),x65742),x65743))+~P1(f330(f330(f239(x65741),x65744),x65745))+P1(f330(f330(f239(x65741),x65742),x65743)) % 242.40/242.48 [6576]~P83(x65761)+~E(f330(f330(f23(x65761),x65764),x65765),f330(f330(f23(x65761),x65762),x65763))+~P1(f330(f330(f240(x65761),x65764),x65765))+P1(f330(f330(f240(x65761),x65762),x65763)) % 242.40/242.48 [7546]~E(x75462,f330(f330(f154(x75461),x75464),x75465))+P1(f330(f330(f332(f931(x75461)),x75462),f164(x75461,x75463)))+~P1(f330(f330(f332(f931(x75461)),x75465),f164(x75461,x75463)))+~P1(f330(f330(f332(x75461),x75464),x75463)) % 242.40/242.48 [7959]~E(f330(f192(f931(x79591)),x79593),f330(f192(f931(x79592)),x79594))+~E(f330(f330(f157(f936(x79591,x79592),x79592),f260(x79591,x79592)),x79595),x79594)+~E(f330(f330(f157(f936(x79591,x79592),x79591),f255(x79591,x79592)),x79595),x79593)+E(f330(f330(f184(x79591,x79592),x79593),x79594),x79595) % 242.40/242.48 [8306]~P113(x83061)+P1(f330(f330(f240(f937(x83061,a925)),f306(x83061,x83062,x83063)),f306(x83061,x83064,x83065)))+~P1(f330(f330(f239(x83061),x83064),x83065))+P1(f330(f330(f239(x83061),x83062),x83063)) % 242.40/242.48 [8404]~P113(x84041)+P1(f330(f330(f239(f937(x84041,a925)),f306(x84041,x84042,x84043)),f306(x84041,x84044,x84045)))+~P1(f330(f330(f239(x84041),x84043),x84045))+~P1(f330(f330(f239(x84041),x84044),x84042)) % 242.40/242.48 [8525]~P112(x85251)+P1(f330(f330(f239(x85251),x85252),x85253))+P1(f330(f330(f239(x85251),x85254),x85253))+~P1(f330(f330(f239(f937(x85251,a925)),f330(f305(x85251,x85253),x85252)),f330(f305(x85251,x85254),x85255))) % 242.40/242.48 [8526]~P112(x85261)+P1(f330(f330(f239(x85261),x85262),x85263))+P1(f330(f330(f239(x85261),x85262),x85264))+~P1(f330(f330(f239(f937(x85261,a925)),f330(f305(x85261,x85263),x85262)),f330(f305(x85261,x85265),x85264))) % 242.40/242.48 [8773]~P113(x87731)+~P1(f330(f330(f239(f937(x87731,a925)),f306(x87731,x87734,x87732)),f306(x87731,x87735,x87733)))+P1(f330(f330(f239(x87731),x87732),x87733))+~P1(f330(f330(f239(x87731),x87734),x87732)) % 242.40/242.48 [8774]~P113(x87741)+~P1(f330(f330(f240(f937(x87741,a925)),f306(x87741,x87744,x87742)),f306(x87741,x87745,x87743)))+P1(f330(f330(f239(x87741),x87742),x87743))+~P1(f330(f330(f239(x87741),x87744),x87742)) % 242.40/242.48 [8775]~P113(x87751)+~P1(f330(f330(f239(f937(x87751,a925)),f306(x87751,x87753,x87754)),f306(x87751,x87752,x87755)))+P1(f330(f330(f239(x87751),x87752),x87753))+~P1(f330(f330(f239(x87751),x87753),x87754)) % 242.40/242.48 [8776]~P113(x87761)+~P1(f330(f330(f240(f937(x87761,a925)),f306(x87761,x87763,x87764)),f306(x87761,x87762,x87765)))+P1(f330(f330(f239(x87761),x87762),x87763))+~P1(f330(f330(f239(x87761),x87763),x87764)) % 242.40/242.48 [6272]~P20(x62722,x62725,x62723)+E(x62721,f191(f937(x62722,a925)))+~P1(f330(f63(x62722),x62721))+E(f330(x62723,f330(f330(f312(x62722),x62724),x62721)),f330(f330(x62725,x62724),f330(x62723,x62721))) % 242.40/242.48 [7043]~E(x70431,x70432)+~E(f330(f330(f104(f937(x70433,a925)),x70434),x70435),f191(f937(x70433,a925)))+~P1(f330(f330(f332(x70433),x70432),x70435))+~P1(f330(f330(f332(x70433),x70431),x70434)) % 242.40/242.48 [7121]~P21(x71212,x71215,x71211)+~P1(f330(f63(x71212),x71214))+E(f330(x71211,f330(f330(f312(x71212),x71213),x71214)),f330(f330(f66(x71212,x71212,x71215),x71213),x71214))+P1(f330(f330(f332(x71212),x71213),x71214)) % 242.40/242.48 [7190]~P74(x71902)+~P1(f330(f63(x71901),x71905))+E(f330(f330(f6(x71901,x71902),x71903),f330(f330(f312(x71901),x71904),x71905)),f330(f330(f82(x71902),f330(x71903,x71904)),f330(f330(f6(x71901,x71902),x71903),x71905)))+P1(f330(f330(f332(x71901),x71904),x71905)) % 242.40/242.48 [7192]~P80(x71922)+~P1(f330(f63(x71921),x71925))+E(f330(f330(f9(x71921,x71922),x71923),f330(f330(f312(x71921),x71924),x71925)),f330(f330(f83(x71922),f330(x71923,x71924)),f330(f330(f9(x71921,x71922),x71923),x71925)))+P1(f330(f330(f332(x71921),x71924),x71925)) % 242.40/242.48 [7704]~P21(x77042,x77045,x77041)+~P1(f330(f63(x77042),x77044))+E(f330(x77041,f330(f330(f312(x77042),x77043),x77044)),x77043)+~E(f330(f330(f23(f937(x77042,a925)),x77044),f330(f330(f312(x77042),x77043),f191(f937(x77042,a925)))),f191(f937(x77042,a925))) % 242.40/242.48 [8014]~P1(f330(x80141,x80143))+~P1(f330(f330(f197(x80142),x80143),x80145))+~P1(f330(f330(f197(f31(x80141,x80142)),x80145),x80144))+P1(f330(f330(f197(f31(x80141,x80142)),x80143),x80144)) % 242.40/242.48 [8069]~P105(x80691)+~P1(f330(f330(f239(x80691),x80693),x80695))+~P1(f330(f330(f239(x80691),x80692),x80694))+P1(f330(f330(f239(x80691),f330(f330(f113(x80691),x80692),x80693)),f330(f330(f113(x80691),x80694),x80695))) % 242.40/242.48 [8070]~P106(x80701)+~P1(f330(f330(f239(x80701),x80703),x80705))+~P1(f330(f330(f239(x80701),x80702),x80704))+P1(f330(f330(f239(x80701),f330(f330(f104(x80701),x80702),x80703)),f330(f330(f104(x80701),x80704),x80705))) % 242.40/242.48 [8071]~P90(x80711)+~P1(f330(f330(f239(x80711),x80713),x80715))+~P1(f330(f330(f239(x80711),x80712),x80714))+P1(f330(f330(f239(x80711),f330(f330(f82(x80711),x80712),x80713)),f330(f330(f82(x80711),x80714),x80715))) % 242.40/242.48 [8072]~P112(x80721)+~P1(f330(f330(f239(x80721),x80723),x80725))+~P1(f330(f330(f239(x80721),x80722),x80724))+P1(f330(f330(f239(x80721),f330(f330(f237(x80721),x80722),x80723)),f330(f330(f237(x80721),x80724),x80725))) % 242.40/242.48 [8073]~P112(x80731)+~P1(f330(f330(f239(x80731),x80733),x80735))+~P1(f330(f330(f239(x80731),x80732),x80734))+P1(f330(f330(f239(x80731),f330(f330(f238(x80731),x80732),x80733)),f330(f330(f238(x80731),x80734),x80735))) % 242.40/242.48 [8074]~P92(x80741)+~P1(f330(f330(f239(x80741),x80743),x80745))+~P1(f330(f330(f240(x80741),x80742),x80744))+P1(f330(f330(f240(x80741),f330(f330(f82(x80741),x80742),x80743)),f330(f330(f82(x80741),x80744),x80745))) % 242.40/242.48 [8075]~P92(x80751)+~P1(f330(f330(f239(x80751),x80752),x80754))+~P1(f330(f330(f240(x80751),x80753),x80755))+P1(f330(f330(f240(x80751),f330(f330(f82(x80751),x80752),x80753)),f330(f330(f82(x80751),x80754),x80755))) % 242.40/242.48 [8076]~P92(x80761)+~P1(f330(f330(f240(x80761),x80763),x80765))+~P1(f330(f330(f240(x80761),x80762),x80764))+P1(f330(f330(f240(x80761),f330(f330(f82(x80761),x80762),x80763)),f330(f330(f82(x80761),x80764),x80765))) % 242.40/242.48 [8212]~P148(x82125)+E(x82121,x82122)+E(x82123,x82124)+~E(f330(f330(f82(x82125),f330(f330(f83(x82125),x82123),x82121)),f330(f330(f83(x82125),x82124),x82122)),f330(f330(f82(x82125),f330(f330(f83(x82125),x82123),x82122)),f330(f330(f83(x82125),x82124),x82121))) % 242.40/242.48 [8361]P31(x83611,x83612,x83613)+~P32(x83611,x83614,x83615)+~P31(x83611,x83612,f574(x83615,x83614,x83611,x83612))+~P1(f330(f330(f332(f929(x83611)),x83613),x83615)) % 242.40/242.48 [8425]~P112(x84254)+~P1(f330(f140(x84251),x84253))+P1(f330(f330(f332(x84251),x84252),f330(f175(x84251),x84253)))+P1(f330(f140(x84251),f330(f330(f151(x84251,x84254,x84255),x84252),x84253))) % 242.40/242.48 [8575]~P6(x85751)+E(f330(f330(f23(x85751),f330(f330(f6(a930,x85751),x85752),f330(f305(a930,x85753),x85754))),f330(f330(f6(a930,x85751),x85752),f330(f305(a930,x85753),x85755))),f330(f330(f6(a930,x85751),x85752),f330(f305(a930,x85755),x85754)))+~P1(f330(f330(f239(a930),x85755),x85754))+~P1(f330(f330(f239(a930),x85753),x85755)) % 242.40/242.48 [8576]~P74(x85761)+E(f330(f330(f82(x85761),f330(f330(f6(a930,x85761),x85762),f330(f305(a930,x85763),x85764))),f330(f330(f6(a930,x85761),x85762),f330(f305(a930,x85764),x85765))),f330(f330(f6(a930,x85761),x85762),f330(f305(a930,x85763),x85765)))+~P1(f330(f330(f239(a930),x85764),x85765))+~P1(f330(f330(f239(a930),x85763),x85764)) % 242.40/242.48 [8916]~P71(x89162)+E(x89161,f2(x89162))+E(x89163,f2(x89162))+E(f330(f330(f293(x89162),f330(f330(f23(x89162),f330(f330(f83(x89162),x89164),x89161)),f330(f330(f83(x89162),x89165),x89163))),f330(f330(f83(x89162),x89163),x89161)),f330(f330(f23(x89162),f330(f330(f293(x89162),x89164),x89163)),f330(f330(f293(x89162),x89165),x89161))) % 242.40/242.48 [8917]~P71(x89172)+E(x89171,f2(x89172))+E(x89173,f2(x89172))+E(f330(f330(f293(x89172),f330(f330(f82(x89172),f330(f330(f83(x89172),x89174),x89171)),f330(f330(f83(x89172),x89175),x89173))),f330(f330(f83(x89172),x89173),x89171)),f330(f330(f82(x89172),f330(f330(f293(x89172),x89174),x89173)),f330(f330(f293(x89172),x89175),x89171))) % 242.40/242.48 [8926]~E(x89262,f330(x89263,x89261))+E(x89261,f612(x89262,x89263,x89264,x89265))+~P28(x89265,x89264,x89263,f246(f937(x89265,a925)))+~P1(f330(f330(f332(x89264),x89262),f330(f313(x89265,x89264,x89263),f246(f937(x89265,a925))))) % 242.40/242.48 [9143]~P115(x91431)+~P1(f330(f330(f240(x91431),f330(f77(x91431),x91432)),x91434))+P1(f330(f330(f240(x91431),f330(f330(f83(x91431),f330(f77(x91431),x91432)),f330(f77(x91431),x91433))),f330(f330(f83(x91431),x91434),x91435)))+~P1(f330(f330(f240(x91431),f330(f77(x91431),x91433)),x91435)) % 242.40/242.48 [9161]~P32(x91611,x91615,x91614)+P31(x91611,x91612,x91613)+P1(f330(f330(f332(f929(x91611)),f574(x91614,x91615,x91611,x91612)),x91615))+~P1(f330(f330(f332(f929(x91611)),x91613),x91614)) % 242.40/242.48 [9261]~P28(x92611,x92613,x92615,x92612)+~P1(f330(f63(x92613),x92614))+P1(f330(f330(f239(a930),f330(f37(x92611),x92612)),f330(f37(x92613),x92614)))+~P1(f330(f330(f239(f937(x92613,a925)),f330(f313(x92611,x92613,x92615),x92612)),x92614)) % 242.40/242.48 [9330]~P74(x93302)+~P28(x93301,x93301,x93304,x93305)+~P1(f330(f63(x93301),x93305))+E(f330(f330(f6(x93301,x93302),f330(f74(x93301,x93302,x93301,x93303),x93304)),x93305),f330(f330(f6(x93301,x93302),x93303),f330(f313(x93301,x93301,x93304),x93305))) % 242.40/242.48 [9331]~P80(x93312)+~P28(x93311,x93311,x93314,x93315)+~P1(f330(f63(x93311),x93315))+E(f330(f330(f9(x93311,x93312),f330(f74(x93311,x93312,x93311,x93313),x93314)),x93315),f330(f330(f9(x93311,x93312),x93313),f330(f313(x93311,x93311,x93314),x93315))) % 242.40/242.48 [9456]~P42(x94561,x94562)+~P1(f330(f330(f332(x94561),x94563),x94564))+~P1(f330(f330(f332(x94561),x94565),x94564))+~P1(f330(f330(f332(f936(x94561,x94561)),f330(f330(f256(x94561,x94561),x94565),f648(x94562,x94561,x94564))),x94562)) % 242.40/242.48 [9490]~P28(x94902,x94903,x94905,x94901)+E(x94901,f191(f937(x94902,a925)))+E(f330(f313(x94903,x94902,f533(x94904,x94903,x94902,x94901)),x94904),x94901)+~P1(f330(f330(f239(f937(x94903,a925)),f330(f313(x94902,x94903,x94905),x94901)),x94904)) % 242.40/242.48 [9972]~P112(x99725)+~P8(x99725)+P1(f330(f330(f332(x99721),f452(x99722,x99723,x99721,x99724,x99725)),x99723))+~P1(f330(f330(f240(x99725),x99724),f330(f330(f41(x99721,x99725),x99723),x99722))) % 242.40/242.48 [9977]~P112(x99771)+~P8(x99771)+P1(f330(f330(f240(x99771),x99772),f330(x99773,f452(x99773,x99774,x99775,x99772,x99771))))+~P1(f330(f330(f240(x99771),x99772),f330(f330(f41(x99775,x99771),x99774),x99773))) % 242.40/242.48 [10055]~P78(x100551)+~P1(f330(f68(x100551,x100551,f83(x100551),x100552,x100553),x100555))+P1(f330(f330(f332(x100551),x100552),x100553))+P1(f330(f68(x100551,x100551,f83(x100551),x100554,f330(f330(f312(x100551),x100552),x100553)),f330(f330(f83(x100551),x100554),x100555))) % 242.40/242.48 [10257]~P74(x102572)+~P1(f330(f63(x102571),x102575))+E(f330(f330(f6(x102571,x102572),f330(f330(f7(x102571,x102572,x102572),f330(f330(f18(x102571,x102572,f937(x102572,x102572)),f330(f330(f8(a925,f937(x102572,f937(x102572,x102572)),x102571),f99(x102572)),f330(a327,x102573))),x102574)),f2(x102572))),x102575),f2(x102572))+P1(f330(f330(f332(x102571),x102573),x102575)) % 242.40/242.48 [10258]~P80(x102582)+~P1(f330(f63(x102581),x102585))+E(f330(f330(f9(x102581,x102582),f330(f330(f7(x102581,x102582,x102582),f330(f330(f18(x102581,x102582,f937(x102582,x102582)),f330(f330(f8(a925,f937(x102582,f937(x102582,x102582)),x102581),f99(x102582)),f330(a327,x102583))),x102584)),f80(x102582))),x102585),f80(x102582))+P1(f330(f330(f332(x102581),x102583),x102585)) % 242.40/242.48 [10259]~P74(x102592)+~P1(f330(f63(x102591),x102595))+E(f330(f330(f6(x102591,x102592),f330(f330(f7(x102591,x102592,x102592),f330(f330(f18(x102591,x102592,f937(x102592,x102592)),f330(f330(f8(a925,f937(x102592,f937(x102592,x102592)),x102591),f99(x102592)),f330(a327,x102593))),x102594)),f2(x102592))),x102595),f330(x102594,x102593))+~P1(f330(f330(f332(x102591),x102593),x102595)) % 242.40/242.48 [10260]~P80(x102602)+~P1(f330(f63(x102601),x102605))+E(f330(f330(f9(x102601,x102602),f330(f330(f7(x102601,x102602,x102602),f330(f330(f18(x102601,x102602,f937(x102602,x102602)),f330(f330(f8(a925,f937(x102602,f937(x102602,x102602)),x102601),f99(x102602)),f330(a327,x102603))),x102604)),f80(x102602))),x102605),f330(x102604,x102603))+~P1(f330(f330(f332(x102601),x102603),x102605)) % 242.40/242.48 [10313]~P74(x103132)+~P1(f330(f63(x103131),x103135))+E(f330(f330(f6(x103131,x103132),f330(f330(f7(x103131,x103132,x103132),f330(f330(f18(x103131,x103132,f937(x103132,x103132)),f330(f330(f8(a925,f937(x103132,f937(x103132,x103132)),x103131),f99(x103132)),f330(f330(f7(x103131,x103131,a925),a327),x103133))),x103134)),f2(x103132))),x103135),f2(x103132))+P1(f330(f330(f332(x103131),x103133),x103135)) % 242.40/242.48 [10314]~P80(x103142)+~P1(f330(f63(x103141),x103145))+E(f330(f330(f9(x103141,x103142),f330(f330(f7(x103141,x103142,x103142),f330(f330(f18(x103141,x103142,f937(x103142,x103142)),f330(f330(f8(a925,f937(x103142,f937(x103142,x103142)),x103141),f99(x103142)),f330(f330(f7(x103141,x103141,a925),a327),x103143))),x103144)),f80(x103142))),x103145),f80(x103142))+P1(f330(f330(f332(x103141),x103143),x103145)) % 242.40/242.48 [10316]~P74(x103162)+~P1(f330(f63(x103161),x103165))+E(f330(f330(f6(x103161,x103162),f330(f330(f7(x103161,x103162,x103162),f330(f330(f18(x103161,x103162,f937(x103162,x103162)),f330(f330(f8(a925,f937(x103162,f937(x103162,x103162)),x103161),f99(x103162)),f330(f330(f7(x103161,x103161,a925),a327),x103163))),x103164)),f2(x103162))),x103165),f330(x103164,x103163))+~P1(f330(f330(f332(x103161),x103163),x103165)) % 242.40/242.48 [10317]~P80(x103172)+~P1(f330(f63(x103171),x103175))+E(f330(f330(f9(x103171,x103172),f330(f330(f7(x103171,x103172,x103172),f330(f330(f18(x103171,x103172,f937(x103172,x103172)),f330(f330(f8(a925,f937(x103172,f937(x103172,x103172)),x103171),f99(x103172)),f330(f330(f7(x103171,x103171,a925),a327),x103173))),x103174)),f80(x103172))),x103175),f330(x103174,x103173))+~P1(f330(f330(f332(x103171),x103173),x103175)) % 242.40/242.48 [8068]~P6(x80682)+~P1(f330(f63(x80681),x80684))+E(f330(f330(f6(x80681,x80682),x80683),f330(f330(f23(f937(x80681,a925)),x80684),f330(f330(f312(x80681),x80685),f191(f937(x80681,a925))))),f330(f330(f6(x80681,x80682),x80683),x80684))+P1(f330(f330(f332(x80681),x80685),x80684)) % 242.40/242.48 [8583]~P126(x85832)+~P1(f330(f63(x85831),x85834))+E(f330(f330(f6(x85831,x85832),x85833),f330(f330(f23(f937(x85831,a925)),x85834),f330(f330(f312(x85831),x85835),f191(f937(x85831,a925))))),f330(f330(f23(x85832),f330(f330(f6(x85831,x85832),x85833),x85834)),f330(x85833,x85835)))+~P1(f330(f330(f332(x85831),x85835),x85834)) % 242.40/242.48 [8584]~P6(x85842)+~P1(f330(f63(x85841),x85844))+E(f330(f330(f6(x85841,x85842),x85843),f330(f330(f23(f937(x85841,a925)),x85844),f330(f330(f312(x85841),x85845),f191(f937(x85841,a925))))),f330(f330(f23(x85842),f330(f330(f6(x85841,x85842),x85843),x85844)),f330(x85843,x85845)))+~P1(f330(f330(f332(x85841),x85845),x85844)) % 242.40/242.48 [8613]~P6(x86131)+~P1(f330(f63(x86132),x86134))+E(f330(f330(f23(x86131),f330(f330(f6(x86132,x86131),x86133),x86134)),f330(f330(f6(x86132,x86131),x86133),x86135)),f330(f330(f6(x86132,x86131),x86133),f330(f330(f23(f937(x86132,a925)),x86134),x86135)))+~P1(f330(f330(f239(f937(x86132,a925)),x86135),x86134)) % 242.40/242.48 [8633]P1(f330(f63(x86331),f330(x86332,x86333)))+~P1(f330(f63(x86334),x86335))+~P1(f330(f330(f332(x86334),x86333),x86335))+~P1(f330(f63(x86331),f330(f330(f41(x86334,f937(x86331,a925)),x86335),x86332))) % 242.40/242.48 [9099]~P11(x90991,x90995,x90994)+~E(f330(f289(x90991,x90991,x90994),f330(f330(f312(x90991),x90992),f191(f937(x90991,a925)))),f330(f289(x90991,x90991,x90994),f330(f330(f312(x90991),x90993),f191(f937(x90991,a925)))))+~P1(f330(f330(f332(x90991),x90993),x90995))+P1(f330(f330(f332(f936(x90991,x90991)),f330(f330(f256(x90991,x90991),x90992),x90993)),x90994)) % 242.40/242.48 [9411]~P1(f330(x94111,x94115))+P1(f330(x94111,f919(x94111,x94112,x94113,x94114)))+P1(f330(x94111,f914(x94111,x94112,x94113,x94114)))+~P1(f330(f330(f332(x94114),x94115),f330(f330(f113(f937(x94114,a925)),x94113),x94112))) % 242.40/242.48 [9594]~P1(f330(x95941,x95945))+P1(f330(x95941,f914(x95941,x95942,x95943,x95944)))+P1(f330(f330(f332(x95944),f919(x95941,x95942,x95943,x95944)),x95942))+~P1(f330(f330(f332(x95944),x95945),f330(f330(f113(f937(x95944,a925)),x95943),x95942))) % 242.40/242.48 [9595]~P1(f330(x95951,x95955))+P1(f330(x95951,f919(x95951,x95952,x95953,x95954)))+P1(f330(f330(f332(x95954),f914(x95951,x95952,x95953,x95954)),x95953))+~P1(f330(f330(f332(x95954),x95955),f330(f330(f113(f937(x95954,a925)),x95953),x95952))) % 242.40/242.48 [9599]P1(f330(x95991,x95992))+~P1(f330(x95991,f903(x95991,x95993,x95994,x95995)))+~P1(f330(x95991,f895(x95991,x95993,x95994,x95995)))+~P1(f330(f330(f332(x95995),x95992),f330(f330(f113(f937(x95995,a925)),x95994),x95993))) % 242.40/242.48 [9604]~P43(x96041,x96044)+~P1(f330(f330(f332(f936(x96041,x96041)),f330(f330(f256(x96041,x96041),x96042),x96045)),x96044))+P1(f330(f330(f332(f936(x96041,x96041)),f330(f330(f256(x96041,x96041),x96042),x96043)),x96044))+~P1(f330(f330(f332(f936(x96041,x96041)),f330(f330(f256(x96041,x96041),x96045),x96043)),x96044)) % 242.40/242.48 [9643]E(x96431,x96432)+~P1(f330(f330(f332(f936(x96433,x96433)),f330(f330(f256(x96433,x96433),x96431),x96432)),f310(x96433,x96435)))+P1(f330(f330(f332(x96433),x96431),x96434))+~P1(f330(f330(f239(f937(f936(x96433,x96433),a925)),x96435),f330(f330(f258(x96433,x96433),x96434),f330(f16(f937(x96433,a925),x96433),x96434)))) % 242.40/242.48 [9661]P1(f330(x96611,x96612))+~P1(f330(x96611,f895(x96611,x96614,x96615,x96613)))+P1(f330(f330(f332(x96613),f903(x96611,x96614,x96615,x96613)),x96614))+~P1(f330(f330(f332(x96613),x96612),f330(f330(f113(f937(x96613,a925)),x96615),x96614))) % 242.40/242.48 [9662]P1(f330(x96621,x96622))+~P1(f330(x96621,f903(x96621,x96624,x96625,x96623)))+P1(f330(f330(f332(x96623),f895(x96621,x96624,x96625,x96623)),x96625))+~P1(f330(f330(f332(x96623),x96622),f330(f330(f113(f937(x96623,a925)),x96625),x96624))) % 242.40/242.48 [9728]P1(f330(x97281,x97282))+P1(f330(f330(f332(x97283),f903(x97281,x97284,x97285,x97283)),x97284))+P1(f330(f330(f332(x97283),f895(x97281,x97284,x97285,x97283)),x97285))+~P1(f330(f330(f332(x97283),x97282),f330(f330(f113(f937(x97283,a925)),x97285),x97284))) % 242.40/242.48 [9730]~P1(f330(x97302,x97305))+P1(f330(f330(f332(x97301),f919(x97302,x97303,x97304,x97301)),x97303))+P1(f330(f330(f332(x97301),f914(x97302,x97303,x97304,x97301)),x97304))+~P1(f330(f330(f332(x97301),x97305),f330(f330(f113(f937(x97301,a925)),x97304),x97303))) % 242.40/242.48 [9879]~P11(x98791,x98795,x98794)+~P1(f330(f330(f332(x98791),x98793),x98795))+P1(f330(f330(f332(f936(x98791,x98791)),f330(f330(f256(x98791,x98791),x98792),x98793)),x98794))+~P1(f330(f330(f239(f937(x98791,a925)),f330(f289(x98791,x98791,x98794),f330(f330(f312(x98791),x98793),f191(f937(x98791,a925))))),f330(f289(x98791,x98791,x98794),f330(f330(f312(x98791),x98792),f191(f937(x98791,a925)))))) % 242.40/242.48 [10006]~P112(x100065)+~P8(x100065)+P1(f330(f330(f332(x100061),f628(x100062,x100063,x100064,x100061,x100065)),x100064))+~P1(f330(f330(f240(x100065),f330(f330(f42(x100061,x100065),x100064),x100063)),x100062)) % 242.40/242.48 [10038]~P90(x100385)+~P85(x100385)+P1(f330(f330(f332(x100381),f716(x100382,x100383,x100384,x100381,x100385)),f330(f175(x100381),x100384)))+P1(f330(f330(f239(x100385),f330(f168(x100385),f330(f330(f157(x100381,x100385),x100383),x100384))),f330(f168(x100385),f330(f330(f157(x100381,x100385),x100382),x100384)))) % 242.40/242.48 [10146]~P112(x101461)+~P8(x101461)+P1(f330(f330(f240(x101461),f330(x101462,f628(x101463,x101462,x101464,x101465,x101461))),x101463))+~P1(f330(f330(f240(x101461),f330(f330(f42(x101465,x101461),x101464),x101462)),x101463)) % 242.40/242.48 [10275]~P90(x102751)+~P85(x102751)+~P1(f330(f330(f239(x102751),f330(x102753,f716(x102755,x102753,x102754,x102752,x102751))),f330(x102755,f716(x102755,x102753,x102754,x102752,x102751))))+P1(f330(f330(f239(x102751),f330(f168(x102751),f330(f330(f157(x102752,x102751),x102753),x102754))),f330(f168(x102751),f330(f330(f157(x102752,x102751),x102755),x102754)))) % 242.40/242.48 [8939]~P74(x89391)+~P1(f330(f63(x89394),x89395))+~P1(f330(f330(f332(x89394),x89393),x89395))+E(f330(f330(f82(x89391),f330(x89392,x89393)),f330(f330(f6(x89394,x89391),x89392),f330(f330(f23(f937(x89394,a925)),x89395),f330(f330(f312(x89394),x89393),f191(f937(x89394,a925)))))),f330(f330(f6(x89394,x89391),x89392),x89395)) % 242.40/242.48 [8940]~P80(x89401)+~P1(f330(f63(x89404),x89405))+~P1(f330(f330(f332(x89404),x89403),x89405))+E(f330(f330(f83(x89401),f330(x89402,x89403)),f330(f330(f9(x89404,x89401),x89402),f330(f330(f23(f937(x89404,a925)),x89405),f330(f330(f312(x89404),x89403),f191(f937(x89404,a925)))))),f330(f330(f9(x89404,x89401),x89402),x89405)) % 242.40/242.48 [9000]~P21(x90001,x90004,x90005)+~P1(f330(f63(x90001),x90002))+E(f330(f330(f23(f937(x90001,a925)),x90002),f330(f330(f312(x90001),x90003),f191(f937(x90001,a925)))),f191(f937(x90001,a925)))+E(f330(f330(x90004,x90003),f330(x90005,f330(f330(f23(f937(x90001,a925)),x90002),f330(f330(f312(x90001),x90003),f191(f937(x90001,a925)))))),f330(x90005,f330(f330(f312(x90001),x90003),x90002))) % 242.40/242.48 [9384]~P74(x93841)+~P1(f330(f63(x93842),x93845))+~P1(f330(f63(x93842),x93844))+E(f330(f330(f82(x93841),f330(f330(f6(x93842,x93841),x93843),f330(f330(f113(f937(x93842,a925)),x93844),x93845))),f330(f330(f6(x93842,x93841),x93843),f330(f330(f104(f937(x93842,a925)),x93844),x93845))),f330(f330(f82(x93841),f330(f330(f6(x93842,x93841),x93843),x93844)),f330(f330(f6(x93842,x93841),x93843),x93845))) % 242.40/242.48 [9386]~P80(x93861)+~P1(f330(f63(x93862),x93865))+~P1(f330(f63(x93862),x93864))+E(f330(f330(f83(x93861),f330(f330(f9(x93862,x93861),x93863),f330(f330(f113(f937(x93862,a925)),x93864),x93865))),f330(f330(f9(x93862,x93861),x93863),f330(f330(f104(f937(x93862,a925)),x93864),x93865))),f330(f330(f83(x93861),f330(f330(f9(x93862,x93861),x93863),x93864)),f330(f330(f9(x93862,x93861),x93863),x93865))) % 242.40/242.48 [9529]~P6(x95291)+~P1(f330(f63(x95292),x95295))+~P1(f330(f63(x95292),x95294))+E(f330(f330(f23(x95291),f330(f330(f82(x95291),f330(f330(f6(x95292,x95291),x95293),x95294)),f330(f330(f6(x95292,x95291),x95293),x95295))),f330(f330(f6(x95292,x95291),x95293),f330(f330(f104(f937(x95292,a925)),x95294),x95295))),f330(f330(f6(x95292,x95291),x95293),f330(f330(f113(f937(x95292,a925)),x95294),x95295))) % 242.40/242.48 [9740]~P28(x97401,x97402,x97403,x97405)+~P28(x97401,x97402,x97403,x97404)+P28(x97401,x97402,x97403,f330(f330(f113(f937(x97401,a925)),x97404),x97405))+~E(f330(f330(f104(f937(x97402,a925)),f330(f313(x97401,x97402,x97403),f330(f330(f23(f937(x97401,a925)),x97404),x97405))),f330(f313(x97401,x97402,x97403),f330(f330(f23(f937(x97401,a925)),x97405),x97404))),f191(f937(x97402,a925))) % 242.40/242.48 [9854]E(x98541,f2(a1))+~P1(f330(f330(f240(a1),f2(a1)),x98543))+~P1(f330(f51(x98542,x98541),f330(f330(f256(a1,a1),x98544),x98545)))+P1(f330(f51(x98542,f330(f330(f83(a1),x98541),x98543)),f330(f330(f256(a1,a1),f330(f330(f38(a1),x98544),x98543)),f330(f330(f82(a1),f330(f330(f83(a1),x98541),f47(a1,x98544,x98543))),x98545)))) % 242.40/242.48 [9862]~P1(f330(f330(f240(a930),f2(a930)),x98623))+~P1(f330(f330(f240(a930),f2(a930)),x98622))+~P1(f330(f50(x98621,x98622),f330(f330(f256(a930,a930),x98624),x98625)))+P1(f330(f50(x98621,f330(f330(f83(a930),x98622),x98623)),f330(f330(f256(a930,a930),f330(f330(f38(a930),x98624),x98623)),f330(f330(f82(a930),f330(f330(f83(a930),x98622),f47(a930,x98624,x98623))),x98625)))) % 242.40/242.48 [9911]~P80(x99111)+~P1(f330(f63(x99112),x99115))+~P1(f330(f63(x99112),x99114))+E(f330(f330(f83(x99111),f330(f330(f330(f67(x99111,x99112,f83(x99111)),x99113),f80(x99111)),f330(f330(f113(f937(x99112,a925)),x99114),x99115))),f330(f330(f330(f67(x99111,x99112,f83(x99111)),x99113),f80(x99111)),f330(f330(f104(f937(x99112,a925)),x99114),x99115))),f330(f330(f83(x99111),f330(f330(f330(f67(x99111,x99112,f83(x99111)),x99113),f80(x99111)),x99114)),f330(f330(f330(f67(x99111,x99112,f83(x99111)),x99113),f80(x99111)),x99115))) % 242.40/242.48 [9913]~E(f330(f330(f178(x99131),x99135),x99132),f330(f330(f178(x99131),x99135),x99133))+P1(f330(f330(f332(f936(f931(x99131),f931(x99131))),f330(f330(f256(f931(x99131),f931(x99131)),x99132),x99133)),f150(x99131,x99134)))+~P1(f330(f330(f240(a930),x99135),f330(f330(f237(a930),f330(f192(f931(x99131)),x99132)),f330(f192(f931(x99131)),x99133))))+~P1(f330(f330(f332(f936(x99131,x99131)),f330(f330(f256(x99131,x99131),f330(f330(f167(x99131),x99132),x99135)),f330(f330(f167(x99131),x99133),x99135))),x99134)) % 242.40/242.48 [10027]~P90(x100275)+~P147(x100275)+P1(f330(f330(f332(x100271),f376(x100272,x100273,x100274,x100271,x100275)),x100274))+P1(f330(f330(f239(x100275),f330(f330(f6(x100271,x100275),x100273),x100274)),f330(f330(f83(x100275),f330(f103(x100275),f330(f37(x100271),x100274))),x100272))) % 242.40/242.48 [10204]~P90(x102041)+~P147(x102041)+~P1(f330(f330(f239(x102041),f330(x102043,f376(x102045,x102043,x102044,x102042,x102041))),x102045))+P1(f330(f330(f239(x102041),f330(f330(f6(x102042,x102041),x102043),x102044)),f330(f330(f83(x102041),f330(f103(x102041),f330(f37(x102042),x102044))),x102045))) % 242.40/242.48 [8968]E(f330(f330(f137(x89681),x89682),x89683),f330(f330(f137(x89681),x89684),x89685))+~E(f330(f330(f178(x89681),f330(f192(f931(x89681)),x89682)),x89684),x89682)+~E(f330(f330(f137(x89681),f330(f330(f141(x89681),f330(f192(f931(x89681)),x89682)),x89684)),x89685),x89683)+P1(f330(f330(f239(a930),f330(f192(f931(x89681)),x89684)),f330(f192(f931(x89681)),x89682))) % 242.40/242.48 [9098]E(f330(f330(f137(x90981),x90982),x90983),f330(f330(f137(x90981),x90984),x90985))+~E(f330(f330(f178(x90981),f330(f192(f931(x90981)),x90982)),x90984),x90982)+~E(x90983,f330(f330(f137(x90981),f330(f330(f141(x90981),f330(f192(f931(x90981)),x90982)),x90984)),x90985))+~P1(f330(f330(f239(a930),f330(f192(f931(x90981)),x90982)),f330(f192(f931(x90981)),x90984))) % 242.40/242.48 [10336]~P1(f330(x103365,x103364))+~P1(f330(f63(x103362),f330(f266(x103362),x103365)))+P1(f330(f63(x103361),f330(f266(x103361),f330(f330(f7(x103361,x103362,a925),x103363),x103364))))+~P1(f330(f63(x103361),f330(f266(x103361),f330(f330(f8(f937(x103362,a925),a925,x103361),f89(x103362)),f330(f330(f8(f937(x103362,a925),f937(x103362,a925),x103361),f330(f18(x103362,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103362),a328),x103365))),x103363))))) % 242.40/242.48 [10409]~P1(f330(f63(x104092),x104095))+~P1(f330(f330(f332(x104092),x104094),x104095))+P1(f330(f63(x104091),f330(f266(x104091),f330(f330(f7(x104091,x104092,a925),x104093),x104094))))+~P1(f330(f63(x104091),f330(f266(x104091),f330(f330(f8(f937(x104092,a925),a925,x104091),f89(x104092)),f330(f330(f8(f937(x104092,a925),f937(x104092,a925),x104091),f330(f18(x104092,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104092),a328),f330(f330(f7(x104092,f937(x104092,a925),a925),f332(x104092)),x104095)))),x104093))))) % 242.40/242.48 [8216]~P46(x82162,x82163,x82164,x82166)+~P46(f31(x82161,x82162),x82166,x82164,x82165)+P46(f31(x82161,x82162),x82163,x82164,x82165)+~P1(f330(x82161,x82163)) % 242.40/242.48 [8752]~P22(x87525,x87521,x87526,x87522)+E(f330(f74(x87521,x87521,x87521,f330(x87522,x87523)),f330(x87522,x87524)),f330(f74(x87521,x87521,x87521,f330(x87522,x87524)),f330(x87522,x87523)))+~P1(f330(f63(x87525),x87524))+~P1(f330(f63(x87525),x87523)) % 242.40/242.48 [8123]~P28(x81231,x81232,x81234,x81233)+~E(f330(x81234,x81236),x81235)+E(f330(f79(x81231,x81232,x81233,x81234),x81235),x81236)+~P1(f330(f330(f332(x81231),x81236),x81233)) % 242.40/242.48 [8124]~P28(x81241,x81242,x81244,x81243)+~E(f330(x81244,x81246),x81245)+E(f330(f94(x81241,x81242,x81243,x81244),x81245),x81246)+~P1(f330(f330(f332(x81241),x81246),x81243)) % 242.40/242.48 [8328]~P23(x83286,x83281,x83284,x83282)+E(f330(f74(x83281,x83281,x83281,f330(x83282,x83283)),f330(x83284,x83285)),f330(x83282,x83283))+~P1(f330(f63(x83286),x83283))+~P1(f330(f330(f332(x83286),x83285),x83283)) % 242.40/242.48 [9482]E(x94821,x94822)+~E(f330(f94(x94823,x94824,x94825,x94826),x94821),f330(f94(x94823,x94824,x94825,x94826),x94822))+~P1(f330(f330(f332(x94824),x94822),f330(f313(x94823,x94824,x94826),x94825)))+~P1(f330(f330(f332(x94824),x94821),f330(f313(x94823,x94824,x94826),x94825))) % 242.40/242.48 [9578]~P22(x95783,x95781,x95786,x95782)+E(f330(f74(x95781,x95781,x95781,f330(x95782,f330(f330(f23(f937(x95783,a925)),x95784),f330(f330(f312(x95783),x95785),f191(f937(x95783,a925)))))),f330(x95786,x95785)),f330(x95782,x95784))+~P1(f330(f63(x95783),x95784))+~P1(f330(f330(f332(x95783),x95785),x95784)) % 242.40/242.48 [7195]~P68(x71951)+~E(f47(x71951,x71953,x71954),f47(x71951,x71956,x71954))+~E(f47(x71951,x71952,x71954),f47(x71951,x71955,x71954))+E(f47(x71951,f330(f330(f23(x71951),x71952),x71953),x71954),f47(x71951,f330(f330(f23(x71951),x71955),x71956),x71954)) % 242.40/242.48 [7196]~P67(x71961)+~E(f47(x71961,x71963,x71964),f47(x71961,x71966,x71964))+~E(f47(x71961,x71962,x71964),f47(x71961,x71965,x71964))+E(f47(x71961,f330(f330(f82(x71961),x71962),x71963),x71964),f47(x71961,f330(f330(f82(x71961),x71965),x71966),x71964)) % 242.40/242.48 [7197]~P67(x71971)+~E(f47(x71971,x71973,x71974),f47(x71971,x71976,x71974))+~E(f47(x71971,x71972,x71974),f47(x71971,x71975,x71974))+E(f47(x71971,f330(f330(f83(x71971),x71972),x71973),x71974),f47(x71971,f330(f330(f83(x71971),x71975),x71976),x71974)) % 242.40/242.48 [8015]~P19(x80151,x80152,x80153)+~P1(f330(f63(x80151),x80156))+E(f330(f330(f66(x80151,x80152,x80153),x80154),f330(f330(f312(x80151),x80155),x80156)),f330(f330(f66(x80151,x80152,x80153),f330(f330(x80153,x80155),x80154)),x80156))+P1(f330(f330(f332(x80151),x80155),x80156)) % 242.40/242.48 [8082]~P8(x80821)+P1(f330(f330(f239(x80821),x80822),f330(x80823,x80824)))+~P1(f330(f330(f332(x80825),x80824),x80826))+~P1(f330(f330(f239(x80821),x80822),f330(f330(f42(x80825,x80821),x80826),x80823))) % 242.40/242.48 [8244]~P19(x82441,x82442,x82443)+~P1(f330(f63(x82441),x82446))+E(f330(f330(f66(x82441,x82442,x82443),x82444),f330(f330(f312(x82441),x82445),x82446)),f330(f330(x82443,x82445),f330(f330(f66(x82441,x82442,x82443),x82444),x82446)))+P1(f330(f330(f332(x82441),x82445),x82446)) % 242.40/242.48 [8346]~P112(x83463)+~P1(f330(x83462,x83465))+~P16(x83463,f330(f330(f157(x83461,x83463),x83464),x83466))+E(f330(f139(x83461,x83462),f330(f330(f151(x83461,x83463,x83464),x83465),x83466)),f330(f330(f151(x83461,x83463,x83464),x83465),f330(f139(x83461,x83462),x83466))) % 242.40/242.48 [8369]E(x83691,x83692)+E(x83693,f2(a1))+~P1(f330(f51(x83694,x83693),f330(f330(f256(a1,a1),x83695),x83692)))+~P1(f330(f51(x83694,x83693),f330(f330(f256(a1,a1),x83696),x83691))) % 242.40/242.48 [8370]E(x83701,x83702)+E(x83703,f2(a1))+~P1(f330(f51(x83704,x83703),f330(f330(f256(a1,a1),x83702),x83705)))+~P1(f330(f51(x83704,x83703),f330(f330(f256(a1,a1),x83701),x83706))) % 242.40/242.48 [8390]~P22(x83902,x83905,x83906,x83901)+~P1(f330(f63(x83902),x83904))+E(f330(x83901,f330(f330(f312(x83902),x83903),x83904)),f330(f74(x83905,x83905,x83905,f330(x83901,x83904)),f330(x83906,x83903)))+P1(f330(f330(f332(x83902),x83903),x83904)) % 242.40/242.48 [8616]~P23(x86165,x86161,x86166,x86162)+E(f330(f74(x86161,x86161,x86161,f330(x86162,x86163)),f330(x86162,x86164)),f330(x86162,x86163))+~P1(f330(f63(x86165),x86163))+~P1(f330(f330(f239(f937(x86165,a925)),x86164),x86163)) % 242.40/242.48 [9784]~P28(x97841,x97842,x97844,x97843)+~P1(f330(f330(f332(x97842),x97845),f330(f313(x97841,x97842,x97844),x97843)))+P1(f330(f330(f332(x97841),f330(f79(x97841,x97842,x97843,x97844),x97845)),x97846))+~P1(f330(f330(f239(f937(x97841,a925)),x97843),x97846)) % 242.40/242.48 [10157]~P74(x101572)+~E(f879(x101571,x101573,x101575,x101576,x101574,x101572),f859(x101571,x101573,x101575,x101576,x101574,x101572))+~P1(f330(f63(x101574),x101576))+E(f330(f330(f6(x101571,x101572),x101573),f330(f313(x101574,x101571,x101575),x101576)),f330(f330(f6(x101574,x101572),f330(f74(x101571,x101572,x101574,x101573),x101575)),x101576)) % 242.40/242.48 [10186]~P74(x101866)+E(f330(x101861,f879(x101862,x101863,x101861,x101864,x101865,x101866)),f330(x101861,f859(x101862,x101863,x101861,x101864,x101865,x101866)))+E(f330(f330(f6(x101862,x101866),x101863),f330(f313(x101865,x101862,x101861),x101864)),f330(f330(f6(x101865,x101866),f330(f74(x101862,x101866,x101865,x101863),x101861)),x101864))+~P1(f330(f63(x101865),x101864)) % 242.40/242.48 [10225]~P74(x102252)+~E(f330(x102253,f330(x102255,f859(x102251,x102253,x102255,x102256,x102254,x102252))),f2(x102252))+~P1(f330(f63(x102254),x102256))+E(f330(f330(f6(x102251,x102252),x102253),f330(f313(x102254,x102251,x102255),x102256)),f330(f330(f6(x102254,x102252),f330(f74(x102251,x102252,x102254,x102253),x102255)),x102256)) % 242.40/242.48 [10283]~P74(x102832)+~P1(f330(f63(x102834),x102836))+E(f330(f330(f6(x102831,x102832),x102833),f330(f313(x102834,x102831,x102835),x102836)),f330(f330(f6(x102834,x102832),f330(f74(x102831,x102832,x102834,x102833),x102835)),x102836))+P1(f330(f330(f332(x102834),f859(x102831,x102833,x102835,x102836,x102834,x102832)),x102836)) % 242.40/242.48 [10284]~P74(x102842)+~P1(f330(f63(x102844),x102846))+E(f330(f330(f6(x102841,x102842),x102843),f330(f313(x102844,x102841,x102845),x102846)),f330(f330(f6(x102844,x102842),f330(f74(x102841,x102842,x102844,x102843),x102845)),x102846))+P1(f330(f330(f332(x102844),f879(x102841,x102843,x102845,x102846,x102844,x102842)),x102846)) % 242.40/242.48 [10408]~P80(x104081)+~P1(f330(f63(x104082),x104086))+E(f330(f330(f330(f67(x104081,x104082,f83(x104081)),f330(f330(f18(x104082,f937(x104083,a925),x104081),f330(f330(f7(x104082,x104081,f937(f937(x104083,a925),x104081)),f330(f330(f8(f937(x104083,x104081),f937(x104081,f937(f937(x104083,a925),x104081)),x104082),f67(x104081,x104083,f83(x104081))),x104084)),f80(x104081))),x104085)),f80(x104081)),x104086),f330(f330(f330(f67(x104081,f936(x104082,x104083),f83(x104081)),f330(f261(x104082,x104083,x104081),x104084)),f80(x104081)),f330(f330(f258(x104082,x104083),x104086),x104085)))+P1(f330(f330(f332(x104082),f519(x104084,x104085,x104083,x104086,x104082,x104081)),x104086)) % 242.40/242.48 [10430]~P80(x104301)+~P1(f330(f63(x104302),x104306))+E(f330(f330(f330(f67(x104301,x104302,f83(x104301)),f330(f330(f18(x104302,f937(x104303,a925),x104301),f330(f330(f7(x104302,x104301,f937(f937(x104303,a925),x104301)),f330(f330(f8(f937(x104303,x104301),f937(x104301,f937(f937(x104303,a925),x104301)),x104302),f67(x104301,x104303,f83(x104301))),x104304)),f80(x104301))),x104305)),f80(x104301)),x104306),f330(f330(f330(f67(x104301,f936(x104302,x104303),f83(x104301)),f330(f261(x104302,x104303,x104301),x104304)),f80(x104301)),f330(f330(f258(x104302,x104303),x104306),x104305)))+~P1(f330(f63(x104303),f330(x104305,f519(x104304,x104305,x104303,x104306,x104302,x104301)))) % 242.40/242.48 [8524]~P23(x85242,x85245,x85246,x85241)+~P1(f330(f63(x85242),x85244))+~P1(f330(f63(x85242),x85243))+E(f330(x85241,f330(f330(f113(f937(x85242,a925)),x85243),x85244)),f330(f74(x85245,x85245,x85245,f330(x85241,x85243)),f330(x85241,x85244))) % 242.40/242.48 [8753]~P8(x87531)+P1(f330(f330(f239(x87531),f330(x87532,x87533)),x87534))+~P1(f330(f330(f332(x87535),x87533),x87536))+~P1(f330(f330(f239(x87531),f330(f330(f41(x87535,x87531),x87536),x87532)),x87534)) % 242.40/242.48 [9187]~P28(x91872,x91871,x91873,x91876)+E(f330(f330(f23(f937(x91871,a925)),f330(f313(x91872,x91871,x91873),x91874)),f330(f313(x91872,x91871,x91873),x91875)),f330(f313(x91872,x91871,x91873),f330(f330(f23(f937(x91872,a925)),x91874),x91875)))+~P1(f330(f330(f239(f937(x91872,a925)),x91875),x91876))+~P1(f330(f330(f239(f937(x91872,a925)),x91874),x91876)) % 242.40/242.48 [9188]~P28(x91882,x91881,x91883,x91886)+E(f330(f330(f104(f937(x91881,a925)),f330(f313(x91882,x91881,x91883),x91884)),f330(f313(x91882,x91881,x91883),x91885)),f330(f313(x91882,x91881,x91883),f330(f330(f104(f937(x91882,a925)),x91884),x91885)))+~P1(f330(f330(f239(f937(x91882,a925)),x91885),x91886))+~P1(f330(f330(f239(f937(x91882,a925)),x91884),x91886)) % 242.40/242.48 [9458]E(x94581,x94582)+~P61(x94583,x94584,x94585)+~P1(f330(f330(f332(f936(x94583,x94584)),f330(f330(f256(x94583,x94584),x94586),x94582)),x94585))+~P1(f330(f330(f332(f936(x94583,x94584)),f330(f330(f256(x94583,x94584),x94586),x94581)),x94585)) % 242.40/242.48 [10221]~P78(x102211)+~E(f330(x102213,f492(x102214,x102216,x102213,x102215,x102212,x102211)),f330(x102216,f492(x102214,x102216,x102213,x102215,x102212,x102211)))+~P1(f330(f63(x102212),x102215))+E(f330(f330(f330(f67(x102211,x102212,f83(x102211)),x102213),x102214),x102215),f330(f330(f330(f67(x102211,x102212,f83(x102211)),x102216),x102214),x102215)) % 242.40/242.48 [10281]~P78(x102811)+~P1(f330(f63(x102812),x102815))+E(f330(f330(f330(f67(x102811,x102812,f83(x102811)),x102813),x102814),x102815),f330(f330(f330(f67(x102811,x102812,f83(x102811)),x102816),x102814),x102815))+P1(f330(f330(f332(x102812),f492(x102814,x102813,x102816,x102815,x102812,x102811)),x102815)) % 242.40/242.48 [8982]~P78(x89821)+~P1(f330(f63(x89822),x89826))+P1(f330(f330(f332(x89822),x89825),x89826))+E(f330(f330(f330(f67(x89821,x89822,f83(x89821)),x89823),x89824),f330(f330(f312(x89822),x89825),x89826)),f330(f330(f83(x89821),f330(x89823,x89825)),f330(f330(f330(f67(x89821,x89822,f83(x89821)),x89823),x89824),x89826))) % 242.40/242.48 [9035]~P11(x90351,x90356,x90353)+~P14(x90351,f937(x90352,a925),x90353,x90355)+~P1(f330(f330(f332(x90351),x90354),x90356))+E(f330(f330(f41(x90351,f937(x90352,a925)),f330(f289(x90351,x90351,x90353),f330(f330(f312(x90351),x90354),f191(f937(x90351,a925))))),x90355),f330(x90355,x90354)) % 242.40/242.48 [9162]~P19(x91623,x91624,x91621)+~P1(f330(f63(x91623),x91626))+~P1(f330(f330(f332(x91623),x91622),x91626))+E(f330(f330(x91621,x91622),f330(f330(f66(x91623,x91624,x91621),x91625),f330(f330(f23(f937(x91623,a925)),x91626),f330(f330(f312(x91623),x91622),f191(f937(x91623,a925)))))),f330(f330(f66(x91623,x91624,x91621),x91625),x91626)) % 242.40/242.48 [9468]~P22(x94683,x94681,x94686,x94682)+~P1(f330(f63(x94683),x94685))+~P1(f330(f63(x94683),x94684))+E(f330(f74(x94681,x94681,x94681,f330(x94682,f330(f330(f113(f937(x94683,a925)),x94684),x94685))),f330(x94682,f330(f330(f104(f937(x94683,a925)),x94684),x94685))),f330(f74(x94681,x94681,x94681,f330(x94682,x94684)),f330(x94682,x94685))) % 242.40/242.48 [9807]~E(x98073,f330(f330(f162(x98071,x98072),x98075),x98076))+P1(f330(f330(f332(f936(f931(x98071),f931(x98071))),f330(f330(f256(f931(x98071),f931(x98071)),x98072),x98073)),f160(x98071,x98074)))+~P1(f330(f330(f240(a930),x98075),f330(f192(f931(x98071)),x98072)))+~P1(f330(f330(f332(f936(x98071,x98071)),f330(f330(f256(x98071,x98071),f330(f330(f167(x98071),x98072),x98075)),x98076)),x98074)) % 242.40/242.48 [10293]~P74(x102932)+~P1(f330(f63(x102931),x102936))+P1(f330(f330(f332(x102931),f527(x102934,x102935,x102933,x102936,x102931,x102932)),x102936))+E(f330(f330(f6(x102931,x102932),f330(f330(f18(x102931,f937(x102933,a925),x102932),f330(f330(f8(f937(x102933,x102932),f937(f937(x102933,a925),x102932),x102931),f6(x102933,x102932)),x102934)),x102935)),x102936),f330(f330(f6(f936(x102931,x102933),x102932),f330(f261(x102931,x102933,x102932),x102934)),f330(f330(f258(x102931,x102933),x102936),x102935))) % 242.40/242.48 [10294]~P80(x102942)+~P1(f330(f63(x102941),x102946))+P1(f330(f330(f332(x102941),f524(x102944,x102945,x102943,x102946,x102941,x102942)),x102946))+E(f330(f330(f9(x102941,x102942),f330(f330(f18(x102941,f937(x102943,a925),x102942),f330(f330(f8(f937(x102943,x102942),f937(f937(x102943,a925),x102942),x102941),f9(x102943,x102942)),x102944)),x102945)),x102946),f330(f330(f9(f936(x102941,x102943),x102942),f330(f261(x102941,x102943,x102942),x102944)),f330(f330(f258(x102941,x102943),x102946),x102945))) % 242.40/242.48 [10334]~P74(x103342)+~P1(f330(f63(x103341),x103346))+~P1(f330(f63(x103343),f330(x103345,f527(x103344,x103345,x103343,x103346,x103341,x103342))))+E(f330(f330(f6(x103341,x103342),f330(f330(f18(x103341,f937(x103343,a925),x103342),f330(f330(f8(f937(x103343,x103342),f937(f937(x103343,a925),x103342),x103341),f6(x103343,x103342)),x103344)),x103345)),x103346),f330(f330(f6(f936(x103341,x103343),x103342),f330(f261(x103341,x103343,x103342),x103344)),f330(f330(f258(x103341,x103343),x103346),x103345))) % 242.40/242.48 [10335]~P80(x103352)+~P1(f330(f63(x103351),x103356))+~P1(f330(f63(x103353),f330(x103355,f524(x103354,x103355,x103353,x103356,x103351,x103352))))+E(f330(f330(f9(x103351,x103352),f330(f330(f18(x103351,f937(x103353,a925),x103352),f330(f330(f8(f937(x103353,x103352),f937(f937(x103353,a925),x103352),x103351),f9(x103353,x103352)),x103354)),x103355)),x103356),f330(f330(f9(f936(x103351,x103353),x103352),f330(f261(x103351,x103353,x103352),x103354)),f330(f330(f258(x103351,x103353),x103356),x103355))) % 242.40/242.48 [10315]~P80(x103152)+~P1(f330(f63(x103151),x103156))+P1(f330(f330(f332(x103151),x103153),x103156))+E(f330(f330(f9(x103151,x103152),f330(f330(f7(x103151,x103152,x103152),f330(f330(f18(x103151,x103152,f937(x103152,x103152)),f330(f330(f8(a925,f937(x103152,f937(x103152,x103152)),x103151),f99(x103152)),f330(f330(f7(x103151,x103151,a925),a327),x103153))),x103154)),x103155)),x103156),f330(f330(f248(x103152),x103155),f330(f37(x103151),x103156))) % 242.40/242.48 [10320]~P80(x103202)+~P1(f330(f63(x103201),x103206))+~P1(f330(f330(f332(x103201),x103203),x103206))+E(f330(f330(f9(x103201,x103202),f330(f330(f7(x103201,x103202,x103202),f330(f330(f18(x103201,x103202,f937(x103202,x103202)),f330(f330(f8(a925,f937(x103202,f937(x103202,x103202)),x103201),f99(x103202)),f330(f330(f7(x103201,x103201,a925),a327),x103203))),x103204)),x103205)),x103206),f330(f330(f83(x103202),f330(x103204,x103203)),f330(f330(f248(x103202),x103205),f330(f330(f23(a930),f330(f37(x103201),x103206)),f80(a930))))) % 242.40/242.48 [10399]~P1(f330(f63(x103991),x103995))+~P1(f330(f63(x103992),x103993))+P1(f330(f330(f332(x103992),f366(x103996,x103994,x103993,x103992,x103995,x103991)),x103993))+E(f330(f330(f6(x103991,a930),f330(f330(f8(f937(x103992,a925),a930,x103991),f37(x103992)),f330(f330(f8(f937(x103992,a925),f937(x103992,a925),x103991),f266(x103992)),f330(f330(f8(f937(x103992,a925),f937(x103992,a925),x103991),f330(f18(x103992,a925,a925),f330(f330(f8(a925,f937(a925,a925),x103992),a328),f330(f330(f7(x103992,f937(x103992,a925),a925),f332(x103992)),x103993)))),x103994)))),x103995),f330(f330(f83(a930),x103996),f330(f37(x103992),x103993))) % 242.40/242.48 [10400]~P1(f330(f63(x104001),x104005))+~P1(f330(f63(x104002),x104003))+P1(f330(f330(f332(x104002),f908(x104006,x104004,x104003,x104002,x104005,x104001)),x104003))+E(f330(f330(f6(x104001,a930),f330(f330(f8(f937(x104002,a925),a930,x104001),f37(x104002)),f330(f330(f8(f937(x104002,a925),f937(x104002,a925),x104001),f266(x104002)),f330(f330(f8(f937(x104002,a925),f937(x104002,a925),x104001),f330(f18(x104002,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104002),a328),f330(f330(f7(x104002,f937(x104002,a925),a925),f332(x104002)),x104003)))),x104004)))),x104005),f330(f330(f6(x104002,a930),x104006),x104003)) % 242.40/242.48 [10443]~P1(f330(f63(x104432),x104433))+~P1(f330(f63(x104431),x104435))+~E(f330(f37(x104431),f330(f266(x104431),f330(f330(f18(x104431,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104431),a328),f330(f330(f7(x104431,f937(x104431,a925),a925),f332(x104431)),x104435))),f330(f330(f7(x104431,x104432,a925),x104434),f366(x104436,x104434,x104433,x104432,x104435,x104431))))),x104436)+E(f330(f330(f6(x104431,a930),f330(f330(f8(f937(x104432,a925),a930,x104431),f37(x104432)),f330(f330(f8(f937(x104432,a925),f937(x104432,a925),x104431),f266(x104432)),f330(f330(f8(f937(x104432,a925),f937(x104432,a925),x104431),f330(f18(x104432,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104432),a328),f330(f330(f7(x104432,f937(x104432,a925),a925),f332(x104432)),x104433)))),x104434)))),x104435),f330(f330(f83(a930),x104436),f330(f37(x104432),x104433))) % 242.40/242.48 [10445]~P1(f330(f63(x104452),x104453))+~P1(f330(f63(x104451),x104455))+~E(f330(f37(x104451),f330(f266(x104451),f330(f330(f18(x104451,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104451),a328),f330(f330(f7(x104451,f937(x104451,a925),a925),f332(x104451)),x104455))),f330(f330(f7(x104451,x104452,a925),x104454),f908(x104456,x104454,x104453,x104452,x104455,x104451))))),f330(x104456,f908(x104456,x104454,x104453,x104452,x104455,x104451)))+E(f330(f330(f6(x104451,a930),f330(f330(f8(f937(x104452,a925),a930,x104451),f37(x104452)),f330(f330(f8(f937(x104452,a925),f937(x104452,a925),x104451),f266(x104452)),f330(f330(f8(f937(x104452,a925),f937(x104452,a925),x104451),f330(f18(x104452,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104452),a328),f330(f330(f7(x104452,f937(x104452,a925),a925),f332(x104452)),x104453)))),x104454)))),x104455),f330(f330(f6(x104452,a930),x104456),x104453)) % 242.40/242.48 [10083]E(x100831,x100832)+~P19(x100833,x100834,x100835)+~P1(f330(f68(x100833,x100834,x100835,x100836,x100837),x100832))+~P1(f330(f68(x100833,x100834,x100835,x100836,x100837),x100831)) % 242.40/242.48 [9883]P1(f330(x98831,x98832))+~P1(f330(f330(f332(x98837),x98832),f330(x98836,x98834)))+~P1(f330(x98831,f444(x98831,x98836,x98835,x98833,x98837)))+~P1(f330(f330(f332(x98833),x98834),x98835)) % 242.40/242.48 [10307]~P19(x103077,x103076,x103071)+E(f330(f330(x103071,x103072),f622(x103072,x103073,x103074,x103075,x103071,x103076,x103077)),x103073)+~P1(f330(f68(x103077,x103076,x103071,x103075,x103074),x103073))+~P1(f330(f330(f332(x103077),x103072),x103074)) % 242.40/242.48 [10377]~P19(x103771,x103772,x103773)+~P1(f330(f68(x103771,x103772,x103773,x103774,x103775),x103777))+P1(f330(f68(x103771,x103772,x103773,x103774,f330(f330(f23(f937(x103771,a925)),x103775),f330(f330(f312(x103771),x103776),f191(f937(x103771,a925))))),f622(x103776,x103777,x103775,x103774,x103773,x103772,x103771)))+~P1(f330(f330(f332(x103771),x103776),x103775)) % 242.40/242.48 [9536]P29(x95361,x95362,x95363,x95364,x95365)+~P29(x95361,x95362,x95363,x95366,x95367)+~E(f330(f313(x95361,x95362,x95363),x95364),x95365)+~P1(f330(f330(f239(f937(x95361,a925)),x95364),x95366)) % 242.40/242.48 [9775]~P29(x97751,x97752,x97753,x97755,x97757)+~P29(x97751,x97752,x97753,x97754,x97756)+P29(x97751,x97752,x97753,f330(f330(f113(f937(x97751,a925)),x97754),x97755),f330(f330(f113(f937(x97752,a925)),x97756),x97757))+~E(f330(f330(f104(f937(x97752,a925)),x97756),x97757),f191(f937(x97752,a925))) % 242.40/242.48 [9780]~P78(x97801)+~P28(x97805,x97802,x97806,x97807)+~P1(f330(f63(x97805),x97807))+E(f330(f330(f330(f67(x97801,x97802,f83(x97801)),x97803),x97804),f330(f313(x97805,x97802,x97806),x97807)),f330(f330(f330(f67(x97801,x97805,f83(x97801)),f330(f74(x97802,x97801,x97805,x97803),x97806)),x97804),x97807)) % 242.40/242.48 [9906]~E(f330(f330(f312(x99061),x99065),x99066),f330(f330(f312(x99061),x99062),x99063))+~P1(f330(f68(x99061,x99061,x99064,x99062,x99063),x99067))+P1(f330(f330(f332(x99061),x99062),x99063))+P1(f330(f64(x99061,x99064,f330(f330(f312(x99061),x99065),x99066)),x99067)) % 242.40/242.48 [9990]P1(f330(x99901,x99902))+~P1(f330(f330(f332(x99903),x99902),f330(x99904,x99907)))+~P1(f330(f330(f332(x99906),x99907),x99905))+P1(f330(f330(f332(x99903),f444(x99901,x99904,x99905,x99906,x99903)),f330(f330(f41(x99906,f937(x99903,a925)),x99905),x99904))) % 242.40/242.48 [10007]~P28(x100072,x100071,x100075,x100074)+~P28(x100071,x100073,x100076,f330(f313(x100072,x100071,x100075),x100074))+E(f330(f330(f74(x100071,x100072,x100073,f79(x100072,x100071,x100074,x100075)),f79(x100071,x100073,f330(f313(x100072,x100071,x100075),x100074),x100076)),x100077),f330(f79(x100072,x100073,x100074,f330(f74(x100071,x100073,x100072,x100076),x100075)),x100077))+~P1(f330(f330(f332(x100073),x100077),f330(f313(x100071,x100073,x100076),f330(f313(x100072,x100071,x100075),x100074)))) % 242.40/242.48 [10008]~P28(x100082,x100081,x100085,x100084)+~P28(x100081,x100083,x100086,f330(f313(x100082,x100081,x100085),x100084))+E(f330(f330(f74(x100081,x100082,x100083,f94(x100082,x100081,x100084,x100085)),f94(x100081,x100083,f330(f313(x100082,x100081,x100085),x100084),x100086)),x100087),f330(f94(x100082,x100083,x100084,f330(f74(x100081,x100083,x100082,x100086),x100085)),x100087))+~P1(f330(f330(f332(x100083),x100087),f330(f313(x100081,x100083,x100086),f330(f313(x100082,x100081,x100085),x100084)))) % 242.40/242.48 [10308]~P19(x103087,x103086,x103081)+E(f330(f330(x103081,x103082),f652(x103083,x103084,x103082,x103085,x103081,x103086,x103087)),x103083)+P1(f330(f330(f332(x103087),x103082),x103084))+~P1(f330(f68(x103087,x103086,x103081,x103085,f330(f330(f312(x103087),x103082),x103084)),x103083)) % 242.40/242.48 [10376]~P19(x103761,x103764,x103765)+P1(f330(f68(x103761,x103764,x103765,x103766,x103763),f652(x103767,x103763,x103762,x103766,x103765,x103764,x103761)))+P1(f330(f330(f332(x103761),x103762),x103763))+~P1(f330(f68(x103761,x103764,x103765,x103766,f330(f330(f312(x103761),x103762),x103763)),x103767)) % 242.40/242.48 [10065]E(x100651,f2(a1))+~P1(f330(f51(x100653,x100651),f330(f330(f256(a1,a1),x100655),x100657)))+~P1(f330(f51(x100652,x100651),f330(f330(f256(a1,a1),x100654),x100656)))+P1(f330(f51(f330(f330(f82(a1),x100652),x100653),x100651),f330(f330(f256(a1,a1),f330(f330(f82(a1),f330(f330(f82(a1),x100654),x100655)),f330(f330(f38(a1),f330(f330(f82(a1),x100656),x100657)),x100651))),f47(a1,f330(f330(f82(a1),x100656),x100657),x100651)))) % 242.40/242.48 [10067]~P1(f330(f330(f240(a930),f2(a930)),x100673))+~P1(f330(f50(x100672,x100673),f330(f330(f256(a930,a930),x100675),x100677)))+~P1(f330(f50(x100671,x100673),f330(f330(f256(a930,a930),x100674),x100676)))+P1(f330(f50(f330(f330(f82(a930),x100671),x100672),x100673),f330(f330(f256(a930,a930),f330(f330(f82(a930),f330(f330(f82(a930),x100674),x100675)),f330(f330(f38(a930),f330(f330(f82(a930),x100676),x100677)),x100673))),f47(a930,f330(f330(f82(a930),x100676),x100677),x100673)))) % 242.40/242.48 [10442]~P74(x104422)+~P1(f330(f63(x104423),x104425))+~P1(f330(f63(x104421),x104427))+E(f330(f330(f6(x104421,x104422),f330(f330(f18(x104421,f937(x104423,a925),x104422),f330(f330(f8(f937(x104423,x104422),f937(f937(x104423,a925),x104422),x104421),f6(x104423,x104422)),x104424)),f330(f330(f8(f937(x104423,a925),f937(x104423,a925),x104421),f266(x104423)),f330(f330(f8(f937(x104423,a925),f937(x104423,a925),x104421),f330(f18(x104423,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104423),a328),f330(f330(f7(x104423,f937(x104423,a925),a925),f332(x104423)),x104425)))),x104426)))),x104427),f330(f330(f6(x104423,x104422),f330(f330(f18(x104423,f937(x104421,a925),x104422),f330(f330(f8(f937(x104421,x104422),f937(f937(x104421,a925),x104422),x104423),f6(x104421,x104422)),f330(f7(x104421,x104423,x104422),x104424))),f330(f330(f8(f937(x104421,a925),f937(x104421,a925),x104423),f266(x104421)),f330(f330(f8(f937(x104421,a925),f937(x104421,a925),x104423),f330(f18(x104421,a925,a925),f330(f330(f8(a925,f937(a925,a925),x104421),a328),f330(f330(f7(x104421,f937(x104421,a925),a925),f332(x104421)),x104427)))),f330(f7(x104421,x104423,a925),x104426))))),x104425)) % 242.40/242.48 [10397]~P24(x103978,x103977,x103976,x103975,x103971)+~E(f330(x103972,f873(x103974,x103972,x103973,x103971,x103975,x103976,x103977)),f330(x103974,f873(x103974,x103972,x103973,x103971,x103975,x103976,x103977)))+E(f330(f330(x103971,x103972),x103973),f330(f330(x103971,x103974),x103973))+~P1(f330(f63(x103977),x103973)) % 242.40/242.48 [9942]~P25(x99427,x99426,x99421,x99428,x99422,x99424)+E(f330(f330(x99421,f330(x99422,x99423)),f330(x99424,x99425)),f330(x99424,x99425))+~P1(f330(f63(x99426),x99425))+~P1(f330(f330(f332(x99426),x99423),x99425)) % 242.40/242.48 [9946]~P15(x99466,x99461,x99462,x99468,x99463,x99464)+~P11(x99466,x99467,x99468)+P14(x99461,x99462,x99463,f330(x99464,x99465))+~P1(f330(f330(f332(x99466),x99465),x99467)) % 242.40/242.48 [10415]~P24(x104158,x104155,x104157,x104156,x104151)+E(f330(f330(x104151,x104152),x104153),f330(f330(x104151,x104154),x104153))+~P1(f330(f63(x104155),x104153))+P1(f330(f330(f332(x104155),f873(x104152,x104154,x104153,x104151,x104156,x104157,x104155)),x104153)) % 242.40/242.48 [10494]~P1(f330(f330(x104941,x104946),x104945))+P1(f330(f330(x104941,f862(x104941,x104944,x104945,x104946,x104943,x104942,x104947,x104948)),f867(x104941,x104944,x104945,x104946,x104943,x104942,x104947,x104948)))+P1(f330(f330(x104941,x104942),x104943))+~P1(f330(f330(f332(f936(f936(x104948,x104947),f936(x104948,x104947))),f330(f330(f256(f936(x104948,x104947),f936(x104948,x104947)),f330(f330(f256(x104948,x104947),x104942),x104943)),f330(f330(f256(x104948,x104947),x104946),x104945))),f310(f936(x104948,x104947),x104944))) % 242.40/242.48 [10495]~P1(f330(f330(x104951,x104956),x104955))+P1(f330(f330(x104951,f855(x104951,x104954,x104953,x104952,x104955,x104956,x104957,x104958)),f856(x104951,x104954,x104953,x104952,x104955,x104956,x104957,x104958)))+P1(f330(f330(x104951,x104952),x104953))+~P1(f330(f330(f332(f936(f936(x104958,x104957),f936(x104958,x104957))),f330(f330(f256(f936(x104958,x104957),f936(x104958,x104957)),f330(f330(f256(x104958,x104957),x104956),x104955)),f330(f330(f256(x104958,x104957),x104952),x104953))),f310(f936(x104958,x104957),x104954))) % 242.40/242.48 [10505]~P1(f330(f330(x105051,f863(x105051,x105056,x105055,x105054,x105053,x105052,x105057,x105058)),f866(x105051,x105056,x105055,x105054,x105053,x105052,x105057,x105058)))+P1(f330(f330(x105051,x105052),x105053))+~P1(f330(f330(x105051,x105054),x105055))+~P1(f330(f330(f332(f936(f936(x105058,x105057),f936(x105058,x105057))),f330(f330(f256(f936(x105058,x105057),f936(x105058,x105057)),f330(f330(f256(x105058,x105057),x105052),x105053)),f330(f330(f256(x105058,x105057),x105054),x105055))),f310(f936(x105058,x105057),x105056))) % 242.40/242.48 [10506]~P1(f330(f330(x105061,f857(x105061,x105066,x105063,x105062,x105065,x105064,x105067,x105068)),f858(x105061,x105066,x105063,x105062,x105065,x105064,x105067,x105068)))+P1(f330(f330(x105061,x105062),x105063))+~P1(f330(f330(x105061,x105064),x105065))+~P1(f330(f330(f332(f936(f936(x105068,x105067),f936(x105068,x105067))),f330(f330(f256(f936(x105068,x105067),f936(x105068,x105067)),f330(f330(f256(x105068,x105067),x105064),x105065)),f330(f330(f256(x105068,x105067),x105062),x105063))),f310(f936(x105068,x105067),x105066))) % 242.40/242.48 [10519]~P1(f330(f330(x105191,x105196),x105197))+P1(f330(f330(x105191,x105192),x105193))+P1(f330(f330(f332(f936(f936(x105194,x105195),f936(x105194,x105195))),f330(f330(f256(f936(x105194,x105195),f936(x105194,x105195)),f330(f330(f256(x105194,x105195),x105196),x105197)),f330(f330(f256(x105194,x105195),f855(x105191,x105198,x105193,x105192,x105197,x105196,x105195,x105194)),f856(x105191,x105198,x105193,x105192,x105197,x105196,x105195,x105194)))),f310(f936(x105194,x105195),x105198)))+~P1(f330(f330(f332(f936(f936(x105194,x105195),f936(x105194,x105195))),f330(f330(f256(f936(x105194,x105195),f936(x105194,x105195)),f330(f330(f256(x105194,x105195),x105196),x105197)),f330(f330(f256(x105194,x105195),x105192),x105193))),f310(f936(x105194,x105195),x105198))) % 242.40/242.48 [10521]~P1(f330(f330(x105211,x105218),x105217))+P1(f330(f330(x105211,x105212),x105213))+P1(f330(f330(f332(f936(f936(x105214,x105215),f936(x105214,x105215))),f330(f330(f256(f936(x105214,x105215),f936(x105214,x105215)),f330(f330(f256(x105214,x105215),f862(x105211,x105216,x105217,x105218,x105213,x105212,x105215,x105214)),f867(x105211,x105216,x105217,x105218,x105213,x105212,x105215,x105214))),f330(f330(f256(x105214,x105215),x105218),x105217))),f310(f936(x105214,x105215),x105216)))+~P1(f330(f330(f332(f936(f936(x105214,x105215),f936(x105214,x105215))),f330(f330(f256(f936(x105214,x105215),f936(x105214,x105215)),f330(f330(f256(x105214,x105215),x105212),x105213)),f330(f330(f256(x105214,x105215),x105218),x105217))),f310(f936(x105214,x105215),x105216))) % 242.40/242.48 [8043]~P46(x80434,x80435,x80436,x80433)+~P31(x80438,x80436,f330(f330(f330(f93(x80438),x80437),x80434),x80431))+P1(f330(f330(x80431,x80432),x80433))+~P1(f330(f330(x80437,x80432),x80435)) % 242.40/242.48 [9561]~P22(x95617,x95611,x95618,x95613)+~P1(f330(f63(x95617),x95615))+~P1(f330(f63(x95617),x95614))+E(f330(f74(x95611,x95611,x95612,f330(x95613,x95614)),f330(f74(x95611,x95611,x95612,f330(x95613,x95615)),x95616)),f330(f74(x95611,x95611,x95612,f330(x95613,x95615)),f330(f74(x95611,x95611,x95612,f330(x95613,x95614)),x95616))) % 242.40/242.48 [9570]~P39(x95701,x95702,x95703,x95704,x95707)+P39(x95701,x95702,x95703,f330(f330(f162(x95701,x95704),x95705),x95706),f330(f330(f162(x95702,x95707),x95705),x95708))+~P1(f330(f330(x95703,x95706),x95708))+~P1(f330(f330(f240(a930),x95705),f330(f192(f931(x95701)),x95704))) % 242.40/242.48 [9571]~P39(x95711,x95712,x95713,x95714,x95717)+P39(x95711,x95712,x95713,f330(f330(f162(x95711,x95714),x95715),x95716),f330(f330(f162(x95712,x95717),x95715),x95718))+~P1(f330(f330(x95713,x95716),x95718))+~P1(f330(f330(f240(a930),x95715),f330(f192(f931(x95712)),x95717))) % 242.40/242.48 [9650]~P28(x96502,x96502,x96505,x96506)+~P24(x96503,x96502,x96507,x96508,x96501)+~P1(f330(f63(x96502),x96506))+E(f330(f330(x96501,f330(f74(x96502,x96503,x96502,x96504),x96505)),x96506),f330(f330(x96501,x96504),f330(f313(x96502,x96502,x96505),x96506))) % 242.40/242.48 [9907]P29(x99071,x99072,x99073,x99074,x99075)+~P29(x99072,x99076,x99077,x99075,x99078)+~P29(x99071,x99076,f330(f74(x99072,x99076,x99071,x99077),x99073),x99074,x99078)+~P1(f330(f330(f239(f937(x99072,a925)),f330(f313(x99071,x99072,x99073),x99074)),x99075)) % 242.40/242.48 [9944]~P26(x99447,x99442,x99445,x99448,x99446,x99441)+~P1(f330(f63(x99442),x99444))+E(f330(x99441,f330(f330(f312(x99442),x99443),x99444)),f330(f330(x99445,f330(x99446,x99443)),f330(x99441,x99444)))+P1(f330(f330(f332(x99442),x99443),x99444)) % 242.40/242.48 [9955]~P25(x99556,x99555,x99551,x99557,x99558,x99552)+E(f330(f330(x99551,f330(x99552,x99553)),f330(x99552,x99554)),f330(x99552,x99554))+~P1(f330(f63(x99555),x99554))+~P1(f330(f330(f239(f937(x99555,a925)),x99553),x99554)) % 242.40/242.48 [9548]P1(f330(f330(f332(f936(f931(x95481),f931(x95481))),f330(f330(f256(f931(x95481),f931(x95481)),x95482),x95483)),f160(x95481,x95484)))+~E(x95483,f330(f330(f137(x95481),x95485),f330(f330(f154(x95481),x95486),x95487)))+~E(x95482,f330(f330(f137(x95481),x95485),f330(f330(f154(x95481),x95488),x95487)))+~P1(f330(f330(f332(f936(x95481,x95481)),f330(f330(f256(x95481,x95481),x95488),x95486)),x95484)) % 242.40/242.48 [9949]~P25(x99496,x99492,x99495,x99497,x99498,x99491)+~P1(f330(f63(x99492),x99494))+~P1(f330(f63(x99492),x99493))+E(f330(x99491,f330(f330(f113(f937(x99492,a925)),x99493),x99494)),f330(f330(x99495,f330(x99491,x99493)),f330(x99491,x99494))) % 242.40/242.48 [10482]~P28(x104824,x104822,x104825,x104828)+E(f330(f330(f42(x104821,f937(x104822,a925)),x104823),f330(f330(f8(f937(x104824,a925),f937(x104822,a925),x104821),f313(x104824,x104822,x104825)),x104826)),f330(f313(x104824,x104822,x104825),f330(f330(f42(x104821,f937(x104824,a925)),x104823),x104826)))+~P1(f330(f330(f332(x104821),x104827),x104823))+P1(f330(f330(f332(x104821),f640(x104827,x104826,x104823,x104821,x104828,x104825,x104822,x104824)),x104823)) % 242.40/242.48 [10510]~P28(x105104,x105102,x105105,x105107)+E(f330(f330(f42(x105101,f937(x105102,a925)),x105103),f330(f330(f8(f937(x105104,a925),f937(x105102,a925),x105101),f313(x105104,x105102,x105105)),x105106)),f330(f313(x105104,x105102,x105105),f330(f330(f42(x105101,f937(x105104,a925)),x105103),x105106)))+~P1(f330(f330(f332(x105101),x105108),x105103))+~P1(f330(f330(f239(f937(x105104,a925)),f330(x105106,f640(x105108,x105106,x105103,x105101,x105107,x105105,x105102,x105104))),x105107)) % 242.40/242.48 [10522]~P1(f330(f330(x105221,x105228),x105227))+P1(f330(f330(x105221,x105222),x105223))+~P1(f330(f330(f332(f936(f936(x105224,x105225),f936(x105224,x105225))),f330(f330(f256(f936(x105224,x105225),f936(x105224,x105225)),f330(f330(f256(x105224,x105225),x105222),x105223)),f330(f330(f256(x105224,x105225),x105228),x105227))),f310(f936(x105224,x105225),x105226)))+P1(f330(f330(f332(f936(f936(x105224,x105225),f936(x105224,x105225))),f330(f330(f256(f936(x105224,x105225),f936(x105224,x105225)),f330(f330(f256(x105224,x105225),f863(x105221,x105226,x105227,x105228,x105223,x105222,x105225,x105224)),f866(x105221,x105226,x105227,x105228,x105223,x105222,x105225,x105224))),f330(f330(f256(x105224,x105225),f862(x105221,x105226,x105227,x105228,x105223,x105222,x105225,x105224)),f867(x105221,x105226,x105227,x105228,x105223,x105222,x105225,x105224)))),x105226)) % 242.40/242.48 [10523]~P1(f330(f330(x105231,x105238),x105237))+P1(f330(f330(x105231,x105232),x105233))+~P1(f330(f330(f332(f936(f936(x105234,x105235),f936(x105234,x105235))),f330(f330(f256(f936(x105234,x105235),f936(x105234,x105235)),f330(f330(f256(x105234,x105235),x105238),x105237)),f330(f330(f256(x105234,x105235),x105232),x105233))),f310(f936(x105234,x105235),x105236)))+P1(f330(f330(f332(f936(f936(x105234,x105235),f936(x105234,x105235))),f330(f330(f256(f936(x105234,x105235),f936(x105234,x105235)),f330(f330(f256(x105234,x105235),f855(x105231,x105236,x105233,x105232,x105237,x105238,x105235,x105234)),f856(x105231,x105236,x105233,x105232,x105237,x105238,x105235,x105234))),f330(f330(f256(x105234,x105235),f857(x105231,x105236,x105233,x105232,x105237,x105238,x105235,x105234)),f858(x105231,x105236,x105233,x105232,x105237,x105238,x105235,x105234)))),x105236)) % 242.40/242.48 [10017]~P26(x100177,x100175,x100171,x100178,x100172,x100174)+~P1(f330(f63(x100175),x100176))+~P1(f330(f330(f332(x100175),x100173),x100176))+E(f330(f330(x100171,f330(x100172,x100173)),f330(x100174,f330(f330(f23(f937(x100175,a925)),x100176),f330(f330(f312(x100175),x100173),f191(f937(x100175,a925)))))),f330(x100174,x100176)) % 242.40/242.48 [10025]~P26(x100256,x100253,x100251,x100257,x100258,x100252)+~P1(f330(f63(x100253),x100255))+~P1(f330(f63(x100253),x100254))+E(f330(f330(x100251,f330(x100252,f330(f330(f113(f937(x100253,a925)),x100254),x100255))),f330(x100252,f330(f330(f104(f937(x100253,a925)),x100254),x100255))),f330(f330(x100251,f330(x100252,x100254)),f330(x100252,x100255))) % 242.40/242.48 [10107]P48(x101071,x101072,x101073,x101074,x101075,f330(f330(x101073,x101076),x101077))+~P48(x101071,x101072,x101073,x101074,f330(f330(f23(f937(x101071,a925)),x101075),f330(f330(f312(x101071),x101078),f191(f937(x101071,a925)))),x101079)+~E(f330(f330(x101073,x101076),x101077),f330(f330(x101073,x101078),x101079))+~P1(f330(f330(f332(x101071),x101078),x101075)) % 242.40/242.48 [10049]~P15(x100496,x100497,x100498,x100499,x1004910,x100491)+E(f330(f330(x100491,x100492),x100493),f330(f330(x100491,x100494),x100495))+~P1(f330(f330(f332(f936(x100497,x100497)),f330(f330(f256(x100497,x100497),x100493),x100495)),x1004910))+~P1(f330(f330(f332(f936(x100496,x100496)),f330(f330(f256(x100496,x100496),x100492),x100494)),x100499)) % 242.40/242.48 [9652]~P2(x96522)+E(x96521,f191(f937(x96522,a925)))+~P1(f330(f63(x96522),x96521))+P1(f330(f330(f332(x96522),f10(x96522,x96521)),x96521))+~P1(f330(f330(f332(x96522),f330(f330(f104(x96522),f885(x96521,x96522)),f887(x96521,x96522))),f330(f330(f312(x96522),f885(x96521,x96522)),f330(f330(f312(x96522),f887(x96521,x96522)),f191(f937(x96522,a925)))))) % 242.40/242.48 [9653]~P2(x96532)+E(x96531,f191(f937(x96532,a925)))+~P1(f330(f63(x96532),x96531))+P1(f330(f330(f332(x96532),f13(x96532,x96531)),x96531))+~P1(f330(f330(f332(x96532),f330(f330(f113(x96532),f888(x96531,x96532)),f889(x96531,x96532))),f330(f330(f312(x96532),f888(x96531,x96532)),f330(f330(f312(x96532),f889(x96531,x96532)),f191(f937(x96532,a925)))))) % 242.40/242.48 [9684]~P78(x96842)+E(x96841,f191(f937(x96842,a925)))+~P1(f330(f63(x96842),x96841))+P1(f330(f330(f332(x96842),f330(f65(x96842,f83(x96842)),x96841)),x96841))+~P1(f330(f330(f332(x96842),f330(f330(f83(x96842),f363(x96841,x96842)),f367(x96841,x96842))),f330(f330(f312(x96842),f363(x96841,x96842)),f330(f330(f312(x96842),f367(x96841,x96842)),f191(f937(x96842,a925)))))) % 242.40/242.48 [9690]~P112(x96902)+E(x96901,f191(f937(x96902,a925)))+~P1(f330(f63(x96902),x96901))+P1(f330(f330(f332(x96902),f11(x96902,f238(x96902),x96901)),x96901))+~P1(f330(f330(f332(x96902),f330(f330(f238(x96902),f920(x96901,x96902)),f921(x96901,x96902))),f330(f330(f312(x96902),f920(x96901,x96902)),f330(f330(f312(x96902),f921(x96901,x96902)),f191(f937(x96902,a925)))))) % 242.40/242.48 [9691]~P112(x96912)+E(x96911,f191(f937(x96912,a925)))+~P1(f330(f63(x96912),x96911))+P1(f330(f330(f332(x96912),f12(x96912,f237(x96912),x96911)),x96911))+~P1(f330(f330(f332(x96912),f330(f330(f237(x96912),f922(x96911,x96912)),f923(x96911,x96912))),f330(f330(f312(x96912),f922(x96911,x96912)),f330(f330(f312(x96912),f923(x96911,x96912)),f191(f937(x96912,a925)))))) % 242.40/242.48 [6767]~P89(x67672)+E(x67671,f2(x67672))+~E(f330(f330(f82(x67672),x67673),x67671),f2(x67672))+~P1(f330(f330(f239(x67672),f2(x67672)),x67673))+~P1(f330(f330(f239(x67672),f2(x67672)),x67671)) % 242.40/242.48 [6768]~P89(x67682)+E(x67681,f2(x67682))+~E(f330(f330(f82(x67682),x67681),x67683),f2(x67682))+~P1(f330(f330(f239(x67682),f2(x67682)),x67683))+~P1(f330(f330(f239(x67682),f2(x67682)),x67681)) % 242.40/242.48 [7294]~P112(x72942)+~P16(x72942,x72941)+E(x72941,f116(x72942))+~P1(f330(f330(f332(x72942),x72943),f330(f175(x72942),f728(x72941,x72942))))+P1(f330(f330(f239(x72942),f748(x72941,x72942)),x72943)) % 242.40/242.48 [7462]~P112(x74621)+E(f15(x74621,x74622),x74623)+~P1(f330(f63(x74621),x74622))+~P1(f330(f330(f239(x74621),x74623),f489(x74623,x74622,x74621)))+~P1(f330(f330(f332(x74621),x74623),x74622)) % 242.40/242.48 [7498]~P112(x74981)+~P16(x74981,x74982)+~P16(x74981,x74983)+P16(x74981,f330(f330(f137(x74981),x74982),x74983))+P1(f330(f330(f332(x74981),f734(x74983,x74982,x74981)),f330(f175(x74981),x74982))) % 242.40/242.48 [7499]~P112(x74991)+~P16(x74991,x74992)+~P16(x74991,x74993)+P16(x74991,f330(f330(f137(x74991),x74992),x74993))+P1(f330(f330(f332(x74991),f735(x74993,x74992,x74991)),f330(f175(x74991),x74993))) % 242.40/242.48 [7560]~P112(x75601)+E(f14(x75601,x75602),x75603)+~P1(f330(f63(x75601),x75602))+P1(f330(f330(f332(x75601),f490(x75603,x75602,x75601)),x75602))+~P1(f330(f330(f332(x75601),x75603),x75602)) % 242.40/242.48 [7561]~P112(x75611)+E(f15(x75611,x75612),x75613)+~P1(f330(f63(x75611),x75612))+P1(f330(f330(f332(x75611),f489(x75613,x75612,x75611)),x75612))+~P1(f330(f330(f332(x75611),x75613),x75612)) % 242.40/242.48 [8143]~P112(x81431)+E(f14(x81431,x81432),x81433)+~P1(f330(f63(x81431),x81432))+~P1(f330(f330(f332(x81431),x81433),x81432))+~P1(f330(f330(f239(x81431),f490(x81433,x81432,x81431)),x81433)) % 242.40/242.48 [8471]~P112(x84711)+~P16(x84711,x84712)+~P16(x84711,x84713)+P16(x84711,f330(f330(f137(x84711),x84712),x84713))+~P1(f330(f330(f239(x84711),f734(x84713,x84712,x84711)),f735(x84713,x84712,x84711))) % 242.40/242.48 [9285]~P2(x92852)+E(x92851,f191(f937(x92852,a925)))+~E(f330(f330(f104(x92852),f330(x92853,f884(x92851,x92853,x92852))),f330(x92853,f893(x92851,x92853,x92852))),f330(x92853,f330(f330(f104(x92852),f884(x92851,x92853,x92852)),f893(x92851,x92853,x92852))))+E(f10(x92852,f330(f313(x92852,x92852,x92853),x92851)),f330(x92853,f10(x92852,x92851)))+~P1(f330(f63(x92852),x92851)) % 242.40/242.48 [9286]~P2(x92862)+E(x92861,f191(f937(x92862,a925)))+~E(f330(f330(f113(x92862),f330(x92863,f894(x92861,x92863,x92862))),f330(x92863,f896(x92861,x92863,x92862))),f330(x92863,f330(f330(f113(x92862),f894(x92861,x92863,x92862)),f896(x92861,x92863,x92862))))+E(f13(x92862,f330(f313(x92862,x92862,x92863),x92861)),f330(x92863,f13(x92862,x92861)))+~P1(f330(f63(x92862),x92861)) % 242.40/242.48 [9287]~P112(x92872)+E(x92871,f191(f937(x92872,a925)))+~E(f330(f330(f238(x92872),f330(x92873,f343(x92871,x92873,x92872))),f330(x92873,f352(x92871,x92873,x92872))),f330(x92873,f330(f330(f238(x92872),f343(x92871,x92873,x92872)),f352(x92871,x92873,x92872))))+E(f14(x92872,f330(f313(x92872,x92872,x92873),x92871)),f330(x92873,f14(x92872,x92871)))+~P1(f330(f63(x92872),x92871)) % 242.40/242.48 [9288]~P112(x92882)+E(x92881,f191(f937(x92882,a925)))+~E(f330(f330(f237(x92882),f330(x92883,f353(x92881,x92883,x92882))),f330(x92883,f354(x92881,x92883,x92882))),f330(x92883,f330(f330(f237(x92882),f353(x92881,x92883,x92882)),f354(x92881,x92883,x92882))))+E(f15(x92882,f330(f313(x92882,x92882,x92883),x92881)),f330(x92883,f15(x92882,x92881)))+~P1(f330(f63(x92882),x92881)) % 242.40/242.48 [9357]~P112(x93572)+E(x93571,f191(f937(x93572,a925)))+~E(f330(f330(f238(x93572),f330(x93573,f344(x93571,x93573,x93572))),f330(x93573,f349(x93571,x93573,x93572))),f330(x93573,f330(f330(f238(x93572),f344(x93571,x93573,x93572)),f349(x93571,x93573,x93572))))+E(f11(x93572,f238(x93572),f330(f313(x93572,x93572,x93573),x93571)),f330(x93573,f11(x93572,f238(x93572),x93571)))+~P1(f330(f63(x93572),x93571)) % 242.40/242.48 [9358]~P112(x93582)+E(x93581,f191(f937(x93582,a925)))+~E(f330(f330(f237(x93582),f330(x93583,f350(x93581,x93583,x93582))),f330(x93583,f351(x93581,x93583,x93582))),f330(x93583,f330(f330(f237(x93582),f350(x93581,x93583,x93582)),f351(x93581,x93583,x93582))))+E(f12(x93582,f237(x93582),f330(f313(x93582,x93582,x93583),x93581)),f330(x93583,f12(x93582,f237(x93582),x93581)))+~P1(f330(f63(x93582),x93581)) % 242.40/242.48 [6783]~P78(x67832)+E(x67831,f191(f937(x67832,a925)))+~P1(f330(f63(x67832),x67831))+E(f330(f65(x67832,f83(x67832)),f330(f330(f312(x67832),x67833),x67831)),f330(f330(f83(x67832),x67833),f330(f65(x67832,f83(x67832)),x67831)))+P1(f330(f330(f332(x67832),x67833),x67831)) % 242.40/242.48 [7300]~P2(x73002)+E(f330(f330(f113(x73002),f13(x73002,x73001)),f13(x73002,x73003)),f13(x73002,x73003))+E(x73001,f191(f937(x73002,a925)))+~P1(f330(f63(x73002),x73003))+~P1(f330(f330(f239(f937(x73002,a925)),x73001),x73003)) % 242.40/242.48 [7301]~P2(x73012)+E(f330(f330(f104(x73012),f10(x73012,x73011)),f10(x73012,x73013)),f10(x73012,x73013))+E(x73011,f191(f937(x73012,a925)))+~P1(f330(f63(x73012),x73013))+~P1(f330(f330(f239(f937(x73012,a925)),x73011),x73013)) % 242.40/242.48 [7302]~P112(x73022)+E(f330(f330(f237(x73022),f15(x73022,x73021)),f15(x73022,x73023)),f15(x73022,x73023))+E(x73021,f191(f937(x73022,a925)))+~P1(f330(f63(x73022),x73023))+~P1(f330(f330(f239(f937(x73022,a925)),x73021),x73023)) % 242.40/242.48 [7303]~P112(x73032)+E(f330(f330(f238(x73032),f14(x73032,x73031)),f14(x73032,x73033)),f14(x73032,x73033))+E(x73031,f191(f937(x73032,a925)))+~P1(f330(f63(x73032),x73033))+~P1(f330(f330(f239(f937(x73032,a925)),x73031),x73033)) % 242.40/242.48 [7612]~P112(x76122)+E(x76121,f191(f937(x76122,a925)))+~P1(f330(f63(x76122),x76123))+P1(f330(f330(f239(x76122),f14(x76122,x76121)),f14(x76122,x76123)))+~P1(f330(f330(f239(f937(x76122,a925)),x76121),x76123)) % 242.40/242.48 [7613]~P112(x76132)+E(x76131,f191(f937(x76132,a925)))+~P1(f330(f63(x76132),x76133))+P1(f330(f330(f239(x76132),f15(x76132,x76133)),f15(x76132,x76131)))+~P1(f330(f330(f239(f937(x76132,a925)),x76131),x76133)) % 242.40/242.48 [7669]~P2(x76691)+E(f10(x76691,x76692),x76693)+~P1(f330(f63(x76691),x76692))+~E(f330(f330(f23(f937(x76691,a925)),x76692),f330(f330(f312(x76691),x76693),f191(f937(x76691,a925)))),f191(f937(x76691,a925)))+~P1(f330(f330(f332(x76691),x76693),x76692)) % 242.40/242.48 [7670]~P2(x76701)+E(f13(x76701,x76702),x76703)+~P1(f330(f63(x76701),x76702))+~E(f330(f330(f23(f937(x76701,a925)),x76702),f330(f330(f312(x76701),x76703),f191(f937(x76701,a925)))),f191(f937(x76701,a925)))+~P1(f330(f330(f332(x76701),x76703),x76702)) % 242.40/242.48 [7671]~P112(x76711)+E(f14(x76711,x76712),x76713)+~P1(f330(f63(x76711),x76712))+~E(f330(f330(f23(f937(x76711,a925)),x76712),f330(f330(f312(x76711),x76713),f191(f937(x76711,a925)))),f191(f937(x76711,a925)))+~P1(f330(f330(f332(x76711),x76713),x76712)) % 242.40/242.48 [7672]~P112(x76721)+E(f15(x76721,x76722),x76723)+~P1(f330(f63(x76721),x76722))+~E(f330(f330(f23(f937(x76721,a925)),x76722),f330(f330(f312(x76721),x76723),f191(f937(x76721,a925)))),f191(f937(x76721,a925)))+~P1(f330(f330(f332(x76721),x76723),x76722)) % 242.40/242.48 [7769]~P112(x77691)+E(f11(x77691,f238(x77691),x77692),x77693)+~P1(f330(f63(x77691),x77692))+~E(f330(f330(f23(f937(x77691,a925)),x77692),f330(f330(f312(x77691),x77693),f191(f937(x77691,a925)))),f191(f937(x77691,a925)))+~P1(f330(f330(f332(x77691),x77693),x77692)) % 242.40/242.48 [7770]~P112(x77701)+E(f12(x77701,f237(x77701),x77702),x77703)+~P1(f330(f63(x77701),x77702))+~E(f330(f330(f23(f937(x77701,a925)),x77702),f330(f330(f312(x77701),x77703),f191(f937(x77701,a925)))),f191(f937(x77701,a925)))+~P1(f330(f330(f332(x77701),x77703),x77702)) % 242.40/242.48 [7805]~P106(x78052)+E(x78051,f191(f937(x78052,a925)))+~P1(f330(f63(x78052),x78051))+~P1(f330(f330(f239(x78052),x78053),f341(x78053,x78051,x78052)))+P1(f330(f330(f239(x78052),x78053),f330(f65(x78052,f104(x78052)),x78051))) % 242.40/242.48 [7806]~P112(x78062)+E(x78061,f191(f937(x78062,a925)))+~P1(f330(f63(x78062),x78061))+~P1(f330(f330(f239(x78062),x78063),f358(x78063,x78061,x78062)))+P1(f330(f330(f239(x78062),x78063),f330(f65(x78062,f237(x78062)),x78061))) % 242.40/242.48 [7807]~P112(x78072)+E(x78071,f191(f937(x78072,a925)))+~P1(f330(f63(x78072),x78071))+~P1(f330(f330(f240(x78072),x78073),f359(x78073,x78071,x78072)))+P1(f330(f330(f240(x78072),x78073),f330(f65(x78072,f237(x78072)),x78071))) % 242.40/242.48 [7893]~P106(x78932)+E(x78931,f191(f937(x78932,a925)))+~P1(f330(f63(x78932),x78931))+P1(f330(f330(f332(x78932),f341(x78933,x78931,x78932)),x78931))+P1(f330(f330(f239(x78932),x78933),f330(f65(x78932,f104(x78932)),x78931))) % 242.40/242.48 [7894]~P112(x78942)+E(x78941,f191(f937(x78942,a925)))+~P1(f330(f63(x78942),x78941))+P1(f330(f330(f332(x78942),f358(x78943,x78941,x78942)),x78941))+P1(f330(f330(f239(x78942),x78943),f330(f65(x78942,f237(x78942)),x78941))) % 242.40/242.48 [7895]~P112(x78952)+E(x78951,f191(f937(x78952,a925)))+~P1(f330(f63(x78952),x78951))+P1(f330(f330(f332(x78952),f359(x78953,x78951,x78952)),x78951))+P1(f330(f330(f240(x78952),x78953),f330(f65(x78952,f237(x78952)),x78951))) % 242.40/242.48 [8017]~P112(x80172)+E(x80171,f191(f937(x80172,a925)))+E(f330(f330(f237(x80172),f12(x80172,f237(x80172),x80171)),f12(x80172,f237(x80172),x80173)),f12(x80172,f237(x80172),x80173))+~P1(f330(f63(x80172),x80173))+~P1(f330(f330(f239(f937(x80172,a925)),x80171),x80173)) % 242.40/242.48 [8018]~P112(x80182)+E(x80181,f191(f937(x80182,a925)))+E(f330(f330(f238(x80182),f11(x80182,f238(x80182),x80181)),f11(x80182,f238(x80182),x80183)),f11(x80182,f238(x80182),x80183))+~P1(f330(f63(x80182),x80183))+~P1(f330(f330(f239(f937(x80182,a925)),x80181),x80183)) % 242.40/242.48 [8222]~E(f637(x82221,x82223,x82222),f638(x82221,x82223,x82222))+~E(f330(f37(x82222),f639(x82221,x82223,x82222)),x82221)+E(f330(f330(f83(a930),x82221),f330(f37(f937(x82222,a925)),x82223)),f330(f37(x82222),f39(f937(x82222,a925),x82223)))+~P1(f330(f63(x82222),f39(f937(x82222,a925),x82223)))+~P1(f330(f63(f937(x82222,a925)),x82223)) % 242.40/242.48 [8409]~P112(x84092)+E(x84091,f191(f937(x84092,a925)))+~P1(f330(f63(x84092),x84093))+P1(f330(f330(f239(x84092),f330(f65(x84092,f237(x84092)),x84093)),f330(f65(x84092,f237(x84092)),x84091)))+~P1(f330(f330(f239(f937(x84092,a925)),x84091),x84093)) % 242.40/242.48 [8720]~E(f637(x87201,x87203,x87202),f638(x87201,x87203,x87202))+E(f330(f330(f83(a930),x87201),f330(f37(f937(x87202,a925)),x87203)),f330(f37(x87202),f39(f937(x87202,a925),x87203)))+P1(f330(f330(f332(f937(x87202,a925)),f639(x87201,x87203,x87202)),x87203))+~P1(f330(f63(x87202),f39(f937(x87202,a925),x87203)))+~P1(f330(f63(f937(x87202,a925)),x87203)) % 242.40/242.48 [8749]~E(f330(f37(x87492),f639(x87491,x87493,x87492)),x87491)+E(f330(f330(f83(a930),x87491),f330(f37(f937(x87492,a925)),x87493)),f330(f37(x87492),f39(f937(x87492,a925),x87493)))+P1(f330(f330(f332(f937(x87492,a925)),f638(x87491,x87493,x87492)),x87493))+~P1(f330(f63(x87492),f39(f937(x87492,a925),x87493)))+~P1(f330(f63(f937(x87492,a925)),x87493)) % 242.40/242.48 [8750]~E(f330(f37(x87502),f639(x87501,x87503,x87502)),x87501)+E(f330(f330(f83(a930),x87501),f330(f37(f937(x87502,a925)),x87503)),f330(f37(x87502),f39(f937(x87502,a925),x87503)))+P1(f330(f330(f332(f937(x87502,a925)),f637(x87501,x87503,x87502)),x87503))+~P1(f330(f63(x87502),f39(f937(x87502,a925),x87503)))+~P1(f330(f63(f937(x87502,a925)),x87503)) % 242.40/242.48 [8777]~E(f330(f37(x87772),f639(x87771,x87773,x87772)),x87771)+~E(f330(f330(f104(f937(x87772,a925)),f638(x87771,x87773,x87772)),f637(x87771,x87773,x87772)),f191(f937(x87772,a925)))+E(f330(f330(f83(a930),x87771),f330(f37(f937(x87772,a925)),x87773)),f330(f37(x87772),f39(f937(x87772,a925),x87773)))+~P1(f330(f63(f937(x87772,a925)),x87773))+~P1(f330(f63(x87772),f39(f937(x87772,a925),x87773))) % 242.40/242.48 [9041]E(f330(f330(f83(a930),x90411),f330(f37(f937(x90412,a925)),x90413)),f330(f37(x90412),f39(f937(x90412,a925),x90413)))+P1(f330(f330(f332(f937(x90412,a925)),f639(x90411,x90413,x90412)),x90413))+P1(f330(f330(f332(f937(x90412,a925)),f638(x90411,x90413,x90412)),x90413))+~P1(f330(f63(f937(x90412,a925)),x90413))+~P1(f330(f63(x90412),f39(f937(x90412,a925),x90413))) % 242.40/242.48 [9042]E(f330(f330(f83(a930),x90421),f330(f37(f937(x90422,a925)),x90423)),f330(f37(x90422),f39(f937(x90422,a925),x90423)))+P1(f330(f330(f332(f937(x90422,a925)),f639(x90421,x90423,x90422)),x90423))+P1(f330(f330(f332(f937(x90422,a925)),f637(x90421,x90423,x90422)),x90423))+~P1(f330(f63(f937(x90422,a925)),x90423))+~P1(f330(f63(x90422),f39(f937(x90422,a925),x90423))) % 242.40/242.48 [9068]~E(f330(f330(f104(f937(x90682,a925)),f638(x90681,x90683,x90682)),f637(x90681,x90683,x90682)),f191(f937(x90682,a925)))+E(f330(f330(f83(a930),x90681),f330(f37(f937(x90682,a925)),x90683)),f330(f37(x90682),f39(f937(x90682,a925),x90683)))+~P1(f330(f63(f937(x90682,a925)),x90683))+P1(f330(f330(f332(f937(x90682,a925)),f639(x90681,x90683,x90682)),x90683))+~P1(f330(f63(x90682),f39(f937(x90682,a925),x90683))) % 242.40/242.48 [9332]~P100(x93322)+E(x93321,f191(f937(x93322,a925)))+~E(f330(f330(f83(x93322),f330(x93323,f362(x93321,x93323,x93322))),f330(x93323,f368(x93321,x93323,x93322))),f330(x93323,f330(f330(f83(x93322),f362(x93321,x93323,x93322)),f368(x93321,x93323,x93322))))+~P1(f330(f63(x93322),x93321))+E(f330(f65(x93322,f83(x93322)),f330(f313(x93322,x93322,x93323),x93321)),f330(x93323,f330(f65(x93322,f83(x93322)),x93321))) % 242.40/242.48 [10255]P1(f330(f330(x102551,x102552),x102553))+P1(f330(f330(f240(a1),f511(x102551,x102553,x102552)),f512(x102551,x102553,x102552)))+P1(f330(f330(f239(a1),f512(x102551,x102553,x102552)),f2(a1)))+P1(f330(f330(x102551,f511(x102551,x102553,x102552)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f512(x102551,x102553,x102552))))+~P1(f330(f318(f936(a1,a1),a60),f330(f330(f256(a1,a1),x102552),x102553))) % 242.40/242.48 [10261]P1(f330(f330(x102611,x102612),x102613))+P1(f330(f330(f239(a1),f510(x102611,x102613,x102612)),f2(a1)))+P1(f330(f330(x102611,f504(x102611,x102613,x102612)),f330(f330(f83(a1),f330(f106(a1),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f510(x102611,x102613,x102612))))+P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),f504(x102611,x102613,x102612)),f510(x102611,x102613,x102612))))+~P1(f330(f318(f936(a1,a1),a54),f330(f330(f256(a1,a1),x102612),x102613))) % 242.40/242.48 [8192]~P115(x81921)+~P1(f330(f330(f239(x81921),x81922),f80(x81921)))+~P1(f330(f330(f239(x81921),f2(x81921)),x81922))+~P1(f330(f330(f239(x81921),f2(x81921)),x81923))+P1(f330(f330(f239(x81921),f330(f330(f83(x81921),x81922),x81923)),x81923)) % 242.40/242.48 [8193]~P115(x81931)+~P1(f330(f330(f239(x81931),x81933),f80(x81931)))+~P1(f330(f330(f239(x81931),f2(x81931)),x81933))+~P1(f330(f330(f239(x81931),f2(x81931)),x81932))+P1(f330(f330(f239(x81931),f330(f330(f83(x81931),x81932),x81933)),x81932)) % 242.40/242.48 [8560]~P112(x85602)+E(x85601,f191(f937(x85602,a925)))+~P1(f330(f63(x85602),x85601))+P1(f330(f330(f332(x85602),f360(x85603,x85601,x85602)),x85601))+~P1(f330(f330(f239(x85602),f330(f65(x85602,f237(x85602)),x85601)),x85603)) % 242.40/242.48 [8561]~P112(x85612)+E(x85611,f191(f937(x85612,a925)))+~P1(f330(f63(x85612),x85611))+P1(f330(f330(f332(x85612),f361(x85613,x85611,x85612)),x85611))+~P1(f330(f330(f240(x85612),f330(f65(x85612,f237(x85612)),x85611)),x85613)) % 242.40/242.48 [8562]~P112(x85622)+E(x85621,f191(f937(x85622,a925)))+~P1(f330(f63(x85622),x85621))+P1(f330(f330(f239(x85622),f360(x85623,x85621,x85622)),x85623))+~P1(f330(f330(f239(x85622),f330(f65(x85622,f237(x85622)),x85621)),x85623)) % 242.40/242.48 [8563]~P112(x85632)+E(x85631,f191(f937(x85632,a925)))+~P1(f330(f63(x85632),x85631))+P1(f330(f330(f240(x85632),f361(x85633,x85631,x85632)),x85633))+~P1(f330(f330(f240(x85632),f330(f65(x85632,f237(x85632)),x85631)),x85633)) % 242.40/242.48 [8650]~P1(f330(x86501,x86503))+P1(f330(x86501,f399(x86501,x86502)))+P1(f330(x86501,f389(x86501,x86502)))+~P1(f330(f330(f240(a1),f2(a1)),x86502))+P1(f330(x86501,f330(f330(f23(a1),f389(x86501,x86502)),f330(f330(f83(a1),f400(x86501,x86502)),x86502)))) % 242.40/242.48 [8878]~P1(f330(x88781,x88783))+P1(f330(x88781,f389(x88781,x88782)))+~P1(f330(f330(f240(a1),f2(a1)),x88782))+P1(f330(f330(f332(a1),f399(x88781,x88782)),f306(a1,f80(a1),x88782)))+P1(f330(x88781,f330(f330(f23(a1),f389(x88781,x88782)),f330(f330(f83(a1),f400(x88781,x88782)),x88782)))) % 242.40/242.48 [9090]~P1(f330(x90901,x90903))+~P1(f330(x90901,f389(x90901,x90902)))+P1(f330(x90901,f399(x90901,x90902)))+~P1(f330(f330(f240(a1),f2(a1)),x90902))+~P1(f330(x90901,f330(f330(f23(a1),f389(x90901,x90902)),f330(f330(f83(a1),f400(x90901,x90902)),x90902)))) % 242.40/242.48 [9221]~P1(f330(x92211,x92213))+~P1(f330(x92211,f389(x92211,x92212)))+~P1(f330(f330(f240(a1),f2(a1)),x92212))+P1(f330(f330(f332(a1),f399(x92211,x92212)),f306(a1,f80(a1),x92212)))+~P1(f330(x92211,f330(f330(f23(a1),f389(x92211,x92212)),f330(f330(f83(a1),f400(x92211,x92212)),x92212)))) % 242.40/242.48 [8996]~P2(x89961)+~P1(f330(f63(x89961),x89962))+E(f330(f330(f23(f937(x89961,a925)),x89962),f330(f330(f312(x89961),x89963),f191(f937(x89961,a925)))),f191(f937(x89961,a925)))+~P1(f330(f330(f332(x89961),x89963),x89962))+E(f330(f330(f104(x89961),x89963),f10(x89961,f330(f330(f23(f937(x89961,a925)),x89962),f330(f330(f312(x89961),x89963),f191(f937(x89961,a925)))))),f10(x89961,x89962)) % 242.40/242.48 [8997]~P2(x89971)+~P1(f330(f63(x89971),x89972))+E(f330(f330(f23(f937(x89971,a925)),x89972),f330(f330(f312(x89971),x89973),f191(f937(x89971,a925)))),f191(f937(x89971,a925)))+~P1(f330(f330(f332(x89971),x89973),x89972))+E(f330(f330(f113(x89971),x89973),f13(x89971,f330(f330(f23(f937(x89971,a925)),x89972),f330(f330(f312(x89971),x89973),f191(f937(x89971,a925)))))),f13(x89971,x89972)) % 242.40/242.48 [8998]~P112(x89981)+~P1(f330(f63(x89981),x89982))+E(f330(f330(f23(f937(x89981,a925)),x89982),f330(f330(f312(x89981),x89983),f191(f937(x89981,a925)))),f191(f937(x89981,a925)))+~P1(f330(f330(f332(x89981),x89983),x89982))+E(f330(f330(f238(x89981),x89983),f14(x89981,f330(f330(f23(f937(x89981,a925)),x89982),f330(f330(f312(x89981),x89983),f191(f937(x89981,a925)))))),f14(x89981,x89982)) % 242.40/242.48 [8999]~P112(x89991)+~P1(f330(f63(x89991),x89992))+E(f330(f330(f23(f937(x89991,a925)),x89992),f330(f330(f312(x89991),x89993),f191(f937(x89991,a925)))),f191(f937(x89991,a925)))+~P1(f330(f330(f332(x89991),x89993),x89992))+E(f330(f330(f237(x89991),x89993),f15(x89991,f330(f330(f23(f937(x89991,a925)),x89992),f330(f330(f312(x89991),x89993),f191(f937(x89991,a925)))))),f15(x89991,x89992)) % 242.40/242.48 [9061]~P112(x90611)+~P1(f330(f63(x90611),x90612))+E(f330(f330(f23(f937(x90611,a925)),x90612),f330(f330(f312(x90611),x90613),f191(f937(x90611,a925)))),f191(f937(x90611,a925)))+~P1(f330(f330(f332(x90611),x90613),x90612))+E(f330(f330(f238(x90611),x90613),f11(x90611,f238(x90611),f330(f330(f23(f937(x90611,a925)),x90612),f330(f330(f312(x90611),x90613),f191(f937(x90611,a925)))))),f11(x90611,f238(x90611),x90612)) % 242.40/242.48 [9062]~P112(x90621)+~P1(f330(f63(x90621),x90622))+E(f330(f330(f23(f937(x90621,a925)),x90622),f330(f330(f312(x90621),x90623),f191(f937(x90621,a925)))),f191(f937(x90621,a925)))+~P1(f330(f330(f332(x90621),x90623),x90622))+E(f330(f330(f237(x90621),x90623),f12(x90621,f237(x90621),f330(f330(f23(f937(x90621,a925)),x90622),f330(f330(f312(x90621),x90623),f191(f937(x90621,a925)))))),f12(x90621,f237(x90621),x90622)) % 242.40/242.48 [9077]~P2(x90771)+~P1(f330(f63(x90771),x90773))+~P1(f330(f63(x90771),x90772))+E(f330(f330(f104(f937(x90771,a925)),x90772),x90773),f191(f937(x90771,a925)))+E(f330(f330(f113(x90771),f13(x90771,f330(f330(f113(f937(x90771,a925)),x90772),x90773))),f13(x90771,f330(f330(f104(f937(x90771,a925)),x90772),x90773))),f330(f330(f113(x90771),f13(x90771,x90772)),f13(x90771,x90773))) % 242.40/242.48 [9078]~P2(x90781)+~P1(f330(f63(x90781),x90783))+~P1(f330(f63(x90781),x90782))+E(f330(f330(f104(f937(x90781,a925)),x90782),x90783),f191(f937(x90781,a925)))+E(f330(f330(f104(x90781),f10(x90781,f330(f330(f113(f937(x90781,a925)),x90782),x90783))),f10(x90781,f330(f330(f104(f937(x90781,a925)),x90782),x90783))),f330(f330(f104(x90781),f10(x90781,x90782)),f10(x90781,x90783))) % 242.40/242.48 [9079]~P112(x90791)+~P1(f330(f63(x90791),x90793))+~P1(f330(f63(x90791),x90792))+E(f330(f330(f104(f937(x90791,a925)),x90792),x90793),f191(f937(x90791,a925)))+E(f330(f330(f237(x90791),f15(x90791,f330(f330(f113(f937(x90791,a925)),x90792),x90793))),f15(x90791,f330(f330(f104(f937(x90791,a925)),x90792),x90793))),f330(f330(f237(x90791),f15(x90791,x90792)),f15(x90791,x90793))) % 242.40/242.48 [9080]~P112(x90801)+~P1(f330(f63(x90801),x90803))+~P1(f330(f63(x90801),x90802))+E(f330(f330(f104(f937(x90801,a925)),x90802),x90803),f191(f937(x90801,a925)))+E(f330(f330(f238(x90801),f14(x90801,f330(f330(f113(f937(x90801,a925)),x90802),x90803))),f14(x90801,f330(f330(f104(f937(x90801,a925)),x90802),x90803))),f330(f330(f238(x90801),f14(x90801,x90802)),f14(x90801,x90803))) % 242.40/242.48 [9304]~P112(x93041)+~P1(f330(f63(x93041),x93043))+~P1(f330(f63(x93041),x93042))+E(f330(f330(f104(f937(x93041,a925)),x93042),x93043),f191(f937(x93041,a925)))+E(f330(f330(f237(x93041),f12(x93041,f237(x93041),f330(f330(f113(f937(x93041,a925)),x93042),x93043))),f12(x93041,f237(x93041),f330(f330(f104(f937(x93041,a925)),x93042),x93043))),f330(f330(f237(x93041),f12(x93041,f237(x93041),x93042)),f12(x93041,f237(x93041),x93043))) % 242.40/242.48 [9305]~P112(x93051)+~P1(f330(f63(x93051),x93053))+~P1(f330(f63(x93051),x93052))+E(f330(f330(f104(f937(x93051,a925)),x93052),x93053),f191(f937(x93051,a925)))+E(f330(f330(f238(x93051),f11(x93051,f238(x93051),f330(f330(f113(f937(x93051,a925)),x93052),x93053))),f11(x93051,f238(x93051),f330(f330(f104(f937(x93051,a925)),x93052),x93053))),f330(f330(f238(x93051),f11(x93051,f238(x93051),x93052)),f11(x93051,f238(x93051),x93053))) % 242.40/242.48 [10104]~P127(x101043)+E(x101041,x101042)+~P1(f330(f330(f239(x101043),f2(x101043)),x101042))+~P1(f330(f330(f239(x101043),f2(x101043)),x101041))+~E(f330(f330(f248(x101043),x101041),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)))),f330(f330(f248(x101043),x101042),f330(f106(a930),f330(f330(f82(a1),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100)),f330(f330(f23(a1),f330(f330(f82(a1),a85),a85)),a100))))) % 242.40/242.48 [6578]E(f911(x65781,x65782,x65783),x65784)+E(f330(x65781,x65784),f2(a930))+~E(f330(f330(f6(x65783,a930),x65781),x65782),f80(a930))+~P1(f330(f63(x65783),x65782))+~P1(f330(f330(f332(x65783),x65784),x65782)) % 242.40/242.48 [6642]E(f778(x66421,x66422,x66423),x66424)+E(f330(x66421,x66424),f2(a930))+~E(f330(f330(f6(x66423,a930),x66421),x66422),f330(a115,f2(a930)))+~P1(f330(f63(x66423),x66422))+~P1(f330(f330(f332(x66423),x66424),x66422)) % 242.40/242.48 [6753]~P112(x67531)+~P8(x67531)+P1(f330(f330(f240(x67531),x67532),f39(x67531,x67533)))+~P1(f330(f330(f240(x67531),x67532),x67534))+~P1(f330(f330(f332(x67531),x67534),x67533)) % 242.40/242.48 [6925]~P112(x69251)+~P8(x69251)+~P1(f330(f330(f240(x69251),x69254),x69253))+P1(f330(f330(f240(x69251),f40(x69251,x69252)),x69253))+~P1(f330(f330(f332(x69251),x69254),x69252)) % 242.40/242.48 [7180]~P127(x71803)+E(x71801,x71802)+~E(f330(f330(f248(x71803),x71801),f330(a115,x71804)),f330(f330(f248(x71803),x71802),f330(a115,x71804)))+~P1(f330(f330(f239(x71803),f2(x71803)),x71802))+~P1(f330(f330(f239(x71803),f2(x71803)),x71801)) % 242.40/242.48 [7389]~E(f915(x73892,x73893,x73891,x73894),x73894)+~E(f330(x73892,x73894),f80(a930))+E(f330(f330(f6(x73891,a930),x73892),x73893),f80(a930))+~P1(f330(f63(x73891),x73893))+~P1(f330(f330(f332(x73891),x73894),x73893)) % 242.40/242.48 [7396]~P119(x73964)+~P135(x73964)+E(f330(x73961,f427(x73961,x73962,x73963,x73964)),f2(x73964))+~E(f330(f330(f9(x73963,x73964),x73961),x73962),f2(x73964))+~P1(f330(f63(x73963),x73962)) % 242.40/242.48 [7485]~E(f792(x74852,x74853,x74851,x74854),x74854)+~E(f330(x74852,x74854),f330(a115,f2(a930)))+E(f330(f330(f6(x74851,a930),x74852),x74853),f330(a115,f2(a930)))+~P1(f330(f63(x74851),x74853))+~P1(f330(f330(f332(x74851),x74854),x74853)) % 242.40/242.48 [8234]~E(f330(x82342,x82344),f80(a930))+~E(f330(x82342,f915(x82342,x82343,x82341,x82344)),f2(a930))+E(f330(f330(f6(x82341,a930),x82342),x82343),f80(a930))+~P1(f330(f63(x82341),x82343))+~P1(f330(f330(f332(x82341),x82344),x82343)) % 242.40/242.48 [8278]~E(f330(x82782,x82784),f330(a115,f2(a930)))+~E(f330(x82782,f792(x82782,x82783,x82781,x82784)),f2(a930))+E(f330(f330(f6(x82781,a930),x82782),x82783),f330(a115,f2(a930)))+~P1(f330(f63(x82781),x82783))+~P1(f330(f330(f332(x82781),x82784),x82783)) % 242.40/242.48 [8845]~P112(x88451)+~P16(x88451,x88454)+P16(x88451,x88452)+~E(x88452,f330(f330(f154(x88451),x88453),x88454))+~P1(f330(f330(f239(x88451),x88453),f749(x88452,x88451,x88454,x88453))) % 242.40/242.48 [8882]E(x88821,x88822)+E(f330(f330(f23(a1),f401(x88823,x88822,x88824,x88821)),f402(x88823,x88822,x88824,x88821)),x88821)+~E(f330(f330(f82(a1),x88821),x88824),x88822)+~P1(f330(f330(f240(a1),f2(a1)),x88824))+~P1(f330(f330(f332(a1),x88822),x88823)) % 242.40/242.48 [8883]E(x88831,x88832)+E(f330(f330(f82(a1),f404(x88833,x88832,x88834,x88831)),f405(x88833,x88832,x88834,x88831)),x88831)+~E(f330(f330(f23(a1),x88831),x88834),x88832)+~P1(f330(f330(f240(a1),f2(a1)),x88834))+~P1(f330(f330(f332(a1),x88832),x88833)) % 242.40/242.48 [9075]E(f330(x90751,f593(x90752,x90751,x90753,x90754)),x90752)+P1(f330(f330(f239(a930),x90754),f594(x90752,x90751,x90753,x90754)))+~P1(f330(f330(f239(a1),x90752),f330(x90751,x90753)))+~P1(f330(f330(f240(a930),x90754),x90753))+~P1(f330(f330(f239(a1),f330(x90751,x90754)),x90752)) % 242.40/242.48 [9076]~P112(x90761)+~P16(x90761,x90763)+P16(x90761,x90762)+~E(x90762,f330(f330(f154(x90761),x90764),x90763))+P1(f330(f330(f332(x90761),f749(x90762,x90761,x90763,x90764)),f330(f175(x90761),x90763))) % 242.40/242.48 [9094]~P119(x90944)+~P135(x90944)+~E(f330(f330(f9(x90941,x90944),x90942),x90943),f2(x90944))+~P1(f330(f63(x90941),x90943))+P1(f330(f330(f332(x90941),f427(x90942,x90943,x90941,x90944)),x90943)) % 242.40/242.48 [9132]~E(f330(x91322,x91324),f80(a930))+E(f330(f330(f6(x91321,a930),x91322),x91323),f80(a930))+~P1(f330(f63(x91321),x91323))+~P1(f330(f330(f332(x91321),x91324),x91323))+P1(f330(f330(f332(x91321),f915(x91322,x91323,x91321,x91324)),x91323)) % 242.40/242.48 [9144]E(x91441,x91442)+~E(f330(f330(f82(a1),x91442),x91444),x91441)+~P1(f330(f330(f240(a1),f2(a1)),x91444))+~P1(f330(f330(f332(a1),x91441),x91443))+P1(f330(f330(f332(a1),f401(x91443,x91441,x91444,x91442)),x91443)) % 242.40/242.48 [9145]E(x91451,x91452)+~E(f330(f330(f23(a1),x91452),x91454),x91451)+~P1(f330(f330(f240(a1),f2(a1)),x91454))+~P1(f330(f330(f332(a1),x91451),x91453))+P1(f330(f330(f332(a1),f404(x91453,x91451,x91454,x91452)),x91453)) % 242.40/242.48 [9147]~E(f330(x91472,x91474),f330(a115,f2(a930)))+E(f330(f330(f6(x91471,a930),x91472),x91473),f330(a115,f2(a930)))+~P1(f330(f63(x91471),x91473))+~P1(f330(f330(f332(x91471),x91474),x91473))+P1(f330(f330(f332(x91471),f792(x91472,x91473,x91471,x91474)),x91473)) % 242.40/242.48 [9152]P65(x91522,x91523,x91524,x91521)+E(x91521,f191(f937(x91522,a925)))+~P1(f330(f63(x91522),x91524))+~P1(f330(f63(x91522),x91521))+P1(f330(f330(f332(x91522),f821(x91523,x91521,x91524,x91522)),x91524)) % 242.40/242.48 [9153]P65(x91532,x91533,x91534,x91531)+E(x91531,f191(f937(x91532,a925)))+~P1(f330(f63(x91532),x91534))+~P1(f330(f63(x91532),x91531))+P1(f330(f330(f332(x91532),f539(x91531,x91534,x91533,x91532)),x91534)) % 242.40/242.48 [9154]P65(x91542,x91543,x91544,x91541)+E(x91541,f191(f937(x91542,a925)))+~P1(f330(f63(x91542),x91544))+~P1(f330(f63(x91542),x91541))+P1(f330(f330(f332(x91542),f822(x91541,x91544,x91543,x91542)),x91544)) % 242.40/242.48 [9234]E(x92341,x92342)+~E(f330(f330(f82(a1),x92342),x92344),x92341)+~P1(f330(f330(f240(a1),f2(a1)),x92344))+~P1(f330(f330(f332(a1),x92341),x92343))+P1(f330(f330(f332(a1),f402(x92343,x92341,x92344,x92342)),f306(a1,f80(a1),x92344))) % 242.40/242.48 [9235]E(x92351,x92352)+~E(f330(f330(f23(a1),x92352),x92354),x92351)+~P1(f330(f330(f240(a1),f2(a1)),x92354))+~P1(f330(f330(f332(a1),x92351),x92353))+P1(f330(f330(f332(a1),f405(x92353,x92351,x92354,x92352)),f306(a1,f80(a1),x92354))) % 242.40/242.48 [9310]P1(f330(f330(f239(a930),x93101),f593(x93102,x93103,x93104,x93101)))+~P1(f330(f330(f239(a1),x93102),f330(x93103,x93104)))+P1(f330(f330(f239(a930),x93101),f594(x93102,x93103,x93104,x93101)))+~P1(f330(f330(f240(a930),x93101),x93104))+~P1(f330(f330(f239(a1),f330(x93103,x93101)),x93102)) % 242.40/242.48 [9431]E(f330(x94311,f593(x94312,x94311,x94313,x94314)),x94312)+~P1(f330(f330(f239(a1),x94312),f330(x94311,x94313)))+P1(f330(f330(f240(a930),f594(x94312,x94311,x94313,x94314)),x94313))+~P1(f330(f330(f240(a930),x94314),x94313))+~P1(f330(f330(f239(a1),f330(x94311,x94314)),x94312)) % 242.40/242.48 [9558]~P1(f330(f330(f239(a1),x95582),f330(x95583,x95584)))+P1(f330(f330(f239(a930),x95581),f594(x95582,x95583,x95584,x95581)))+P1(f330(f330(f239(a930),f593(x95582,x95583,x95584,x95581)),x95584))+~P1(f330(f330(f240(a930),x95581),x95584))+~P1(f330(f330(f239(a1),f330(x95583,x95581)),x95582)) % 242.40/242.48 [9559]~P1(f330(f330(f239(a1),x95592),f330(x95593,x95594)))+P1(f330(f330(f239(a930),x95591),f593(x95592,x95593,x95594,x95591)))+P1(f330(f330(f240(a930),f594(x95592,x95593,x95594,x95591)),x95594))+~P1(f330(f330(f240(a930),x95591),x95594))+~P1(f330(f330(f239(a1),f330(x95593,x95591)),x95592)) % 242.40/242.48 [9667]~P1(f330(f330(f239(a1),x96671),f330(x96672,x96673)))+P1(f330(f330(f240(a930),f594(x96671,x96672,x96673,x96674)),x96673))+~P1(f330(f330(f240(a930),x96674),x96673))+~P1(f330(f330(f239(a1),f330(x96672,x96674)),x96671))+P1(f330(f330(f239(a930),f593(x96671,x96672,x96673,x96674)),x96673)) % 242.40/242.48 [9752]E(x97521,f191(f937(x97522,a925)))+~P1(f330(f63(x97522),x97524))+~P1(f330(f63(x97522),x97521))+P1(f330(f330(f332(f936(f937(x97522,a925),f937(x97522,a925))),f330(f330(f256(f937(x97522,a925),f937(x97522,a925)),x97524),x97521)),f322(x97522,x97523)))+P1(f330(f330(f332(x97522),f541(x97523,x97521,x97524,x97522)),x97524)) % 242.40/242.48 [9753]E(x97531,f191(f937(x97532,a925)))+~P1(f330(f63(x97532),x97534))+~P1(f330(f63(x97532),x97531))+P1(f330(f330(f332(f936(f937(x97532,a925),f937(x97532,a925))),f330(f330(f256(f937(x97532,a925),f937(x97532,a925)),x97534),x97531)),f322(x97532,x97533)))+P1(f330(f330(f332(x97532),f589(x97533,x97531,x97534,x97532)),x97534)) % 242.40/242.48 [10410]E(f330(x104101,f593(x104102,x104101,x104103,x104104)),x104102)+~P1(f330(f330(f239(a1),x104102),f330(x104101,x104103)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x104101,f330(f330(f82(a930),f594(x104102,x104101,x104103,x104104)),f80(a930)))),f330(x104101,f594(x104102,x104101,x104103,x104104))))),f80(a1)))+~P1(f330(f330(f240(a930),x104104),x104103))+~P1(f330(f330(f239(a1),f330(x104101,x104104)),x104102)) % 242.40/242.48 [10411]~P1(f330(f330(f239(a1),x104112),f330(x104113,x104114)))+P1(f330(f330(f239(a930),x104111),f593(x104112,x104113,x104114,x104111)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x104113,f330(f330(f82(a930),f594(x104112,x104113,x104114,x104111)),f80(a930)))),f330(x104113,f594(x104112,x104113,x104114,x104111))))),f80(a1)))+~P1(f330(f330(f240(a930),x104111),x104114))+~P1(f330(f330(f239(a1),f330(x104113,x104111)),x104112)) % 242.40/242.48 [10412]~P1(f330(f330(f239(a1),x104121),f330(x104122,x104123)))+~P1(f330(f330(f239(a1),f330(f77(a1),f330(f330(f23(a1),f330(x104122,f330(f330(f82(a930),f594(x104121,x104122,x104123,x104124)),f80(a930)))),f330(x104122,f594(x104121,x104122,x104123,x104124))))),f80(a1)))+~P1(f330(f330(f240(a930),x104124),x104123))+~P1(f330(f330(f239(a1),f330(x104122,x104124)),x104121))+P1(f330(f330(f239(a930),f593(x104121,x104122,x104123,x104124)),x104123)) % 242.40/242.48 [7448]~P72(x74481)+P1(f330(f330(f240(x74481),x74482),f2(x74481)))+~P1(f330(f330(f239(x74481),x74483),f2(x74481)))+P1(f330(f330(f240(x74481),f2(x74481)),x74482))+P1(f330(f330(f239(x74481),x74483),f330(f330(f293(x74481),x74484),x74482))) % 242.40/242.48 [7449]~P72(x74491)+P1(f330(f330(f240(x74491),x74492),f2(x74491)))+~P1(f330(f330(f240(x74491),x74493),f2(x74491)))+P1(f330(f330(f240(x74491),f2(x74491)),x74492))+P1(f330(f330(f240(x74491),x74493),f330(f330(f293(x74491),x74494),x74492))) % 242.40/242.48 [7710]~P72(x77101)+P1(f330(f330(f239(x77101),x77102),f2(x77101)))+P1(f330(f330(f240(x77101),x77103),f2(x77101)))+P1(f330(f330(f240(x77101),f2(x77101)),x77103))+~P1(f330(f330(f239(x77101),x77102),f330(f330(f293(x77101),x77104),x77103))) % 242.40/242.48 [7711]~P72(x77111)+P1(f330(f330(f240(x77111),x77112),f2(x77111)))+P1(f330(f330(f240(x77111),x77113),f2(x77111)))+P1(f330(f330(f240(x77111),f2(x77111)),x77113))+~P1(f330(f330(f240(x77111),x77112),f330(f330(f293(x77111),x77114),x77113))) % 242.40/242.48 [7826]E(x78261,x78262)+~E(f330(f330(f167(x78263),x78264),x78261),f330(f330(f167(x78263),x78264),x78262))+~P1(f330(f140(x78263),x78264))+~P1(f330(f330(f240(a930),x78262),f330(f192(f931(x78263)),x78264)))+~P1(f330(f330(f240(a930),x78261),f330(f192(f931(x78263)),x78264))) % 242.40/242.48 [8194]~P72(x81941)+~P1(f330(f330(f239(x81941),x81943),f2(x81941)))+P1(f330(f330(f240(x81941),f2(x81941)),x81942))+~P1(f330(f330(f239(x81941),x81944),f330(f330(f83(x81941),x81943),x81942)))+P1(f330(f330(f239(x81941),x81943),f330(f330(f293(x81941),x81944),x81942))) % 242.40/242.48 [8195]~P72(x81951)+~P1(f330(f330(f240(x81951),x81953),f2(x81951)))+P1(f330(f330(f240(x81951),f2(x81951)),x81952))+~P1(f330(f330(f240(x81951),x81954),f330(f330(f83(x81951),x81953),x81952)))+P1(f330(f330(f240(x81951),x81953),f330(f330(f293(x81951),x81954),x81952))) % 242.40/242.48 [8196]~P72(x81961)+~P1(f330(f330(f240(x81961),x81962),f2(x81961)))+P1(f330(f330(f240(x81961),f2(x81961)),x81962))+~P1(f330(f330(f239(x81961),x81964),f330(f330(f83(x81961),x81963),x81962)))+P1(f330(f330(f239(x81961),x81963),f330(f330(f293(x81961),x81964),x81962))) % 242.40/242.48 [8197]~P72(x81971)+~P1(f330(f330(f240(x81971),x81972),f2(x81971)))+P1(f330(f330(f240(x81971),f2(x81971)),x81972))+~P1(f330(f330(f239(x81971),x81974),f330(f330(f293(x81971),x81973),x81972)))+P1(f330(f330(f239(x81971),x81973),f330(f330(f83(x81971),x81974),x81972))) % 242.40/242.48 [8198]~P72(x81981)+~P1(f330(f330(f240(x81981),x81982),f2(x81981)))+P1(f330(f330(f240(x81981),f2(x81981)),x81982))+~P1(f330(f330(f240(x81981),x81984),f330(f330(f83(x81981),x81983),x81982)))+P1(f330(f330(f240(x81981),x81983),f330(f330(f293(x81981),x81984),x81982))) % 242.40/242.48 [8199]~P72(x81991)+~P1(f330(f330(f240(x81991),x81992),f2(x81991)))+P1(f330(f330(f240(x81991),f2(x81991)),x81992))+~P1(f330(f330(f240(x81991),x81994),f330(f330(f293(x81991),x81993),x81992)))+P1(f330(f330(f240(x81991),x81993),f330(f330(f83(x81991),x81994),x81992))) % 242.40/242.48 [8350]~P112(x83501)+~P16(x83501,x83502)+~P1(f330(f330(f239(a930),x83503),x83504))+P1(f330(f330(f239(x83501),f330(f330(f167(x83501),x83502),x83503)),f330(f330(f167(x83501),x83502),x83504)))+~P1(f330(f330(f240(a930),x83504),f330(f192(f931(x83501)),x83502))) % 242.40/242.48 [8400]~P127(x84001)+~P1(f330(f330(f239(x84001),x84002),f80(x84001)))+~P1(f330(f330(f239(x84001),f2(x84001)),x84002))+~P1(f330(f330(f239(a930),x84004),x84003))+P1(f330(f330(f239(x84001),f330(f330(f248(x84001),x84002),x84003)),f330(f330(f248(x84001),x84002),x84004))) % 242.40/242.48 [8401]~P127(x84011)+~P1(f330(f330(f240(x84011),x84012),f80(x84011)))+~P1(f330(f330(f240(x84011),f2(x84011)),x84012))+~P1(f330(f330(f240(a930),x84014),x84013))+P1(f330(f330(f240(x84011),f330(f330(f248(x84011),x84012),x84013)),f330(f330(f248(x84011),x84012),x84014))) % 242.40/242.48 [8402]~P127(x84021)+~P1(f330(f330(f239(x84021),f2(x84021)),x84022))+~P1(f330(f330(f240(a930),f2(a930)),x84023))+~P1(f330(f330(f240(x84021),x84022),x84024))+P1(f330(f330(f240(x84021),f330(f330(f248(x84021),x84022),x84023)),f330(f330(f248(x84021),x84024),x84023))) % 242.40/242.48 [8421]~P112(x84211)+~P16(x84211,f330(f171(x84211),x84212))+~P1(f330(f330(f239(a930),x84214),x84213))+P1(f330(f330(f239(x84211),f330(f330(f167(x84211),x84212),x84213)),f330(f330(f167(x84211),x84212),x84214)))+~P1(f330(f330(f240(a930),x84213),f330(f192(f931(x84211)),x84212))) % 242.40/242.48 [8673]~P72(x86731)+~P1(f330(f330(f239(x86731),x86732),f2(x86731)))+~P1(f330(f330(f239(x86731),x86733),x86734))+~P1(f330(f330(f240(x86731),f2(x86731)),f330(f330(f83(x86731),x86733),x86734)))+P1(f330(f330(f239(x86731),f330(f330(f293(x86731),x86732),x86733)),f330(f330(f293(x86731),x86732),x86734))) % 242.40/242.48 [8674]~P73(x86741)+~P1(f330(f330(f240(x86741),x86742),f2(x86741)))+~P1(f330(f330(f240(x86741),x86743),x86744))+~P1(f330(f330(f240(x86741),f2(x86741)),f330(f330(f83(x86741),x86743),x86744)))+P1(f330(f330(f240(x86741),f330(f330(f293(x86741),x86742),x86743)),f330(f330(f293(x86741),x86742),x86744))) % 242.40/242.48 [8683]~P73(x86831)+~P1(f330(f330(f239(x86831),x86834),x86833))+~P1(f330(f330(f239(x86831),f2(x86831)),x86832))+~P1(f330(f330(f240(x86831),f2(x86831)),f330(f330(f83(x86831),x86833),x86834)))+P1(f330(f330(f239(x86831),f330(f330(f293(x86831),x86832),x86833)),f330(f330(f293(x86831),x86832),x86834))) % 242.40/242.48 [8684]~P73(x86841)+~P1(f330(f330(f240(x86841),x86844),x86843))+~P1(f330(f330(f240(x86841),f2(x86841)),x86842))+~P1(f330(f330(f240(x86841),f2(x86841)),f330(f330(f83(x86841),x86843),x86844)))+P1(f330(f330(f240(x86841),f330(f330(f293(x86841),x86842),x86843)),f330(f330(f293(x86841),x86842),x86844))) % 242.40/242.48 [8793]P1(f330(x87931,x87932))+~P1(f330(f63(x87934),x87932))+P1(f330(x87931,f900(x87931,x87933,x87932,x87934)))+~P1(f330(x87931,f191(f937(x87934,a925))))+~P1(f330(f330(f239(f937(x87934,a925)),x87932),x87933)) % 242.40/242.48 [8802]P1(f330(x88021,x88022))+P1(f330(f63(x88023),f900(x88021,x88024,x88022,x88023)))+~P1(f330(f63(x88023),x88022))+~P1(f330(x88021,f191(f937(x88023,a925))))+~P1(f330(f330(f239(f937(x88023,a925)),x88022),x88024)) % 242.40/242.48 [9070]E(f330(f330(f82(a1),f407(x90701,x90702,x90703,x90704)),f406(x90701,x90702,x90703,x90704)),x90704)+~P1(f330(f330(f240(a1),f2(a1)),x90703))+~P1(f330(f330(f240(a1),x90702),x90704))+~P1(f330(f330(f332(a1),x90702),x90701))+P1(f330(f330(f240(a1),x90702),f330(f330(f23(a1),x90704),x90703))) % 242.40/242.48 [9291]~P1(f330(f330(f240(a1),f2(a1)),x92913))+~P1(f330(f330(f240(a1),x92912),x92914))+~P1(f330(f330(f332(a1),x92912),x92911))+P1(f330(f330(f332(a1),f407(x92911,x92912,x92913,x92914)),x92911))+P1(f330(f330(f240(a1),x92912),f330(f330(f23(a1),x92914),x92913))) % 242.40/242.48 [9303]P1(f330(x93031,x93032))+~P1(f330(f63(x93033),x93032))+P1(f330(f330(f332(x93033),f901(x93031,x93034,x93032,x93033)),x93034))+~P1(f330(x93031,f191(f937(x93033,a925))))+~P1(f330(f330(f239(f937(x93033,a925)),x93032),x93034)) % 242.40/242.48 [9320]E(f330(f330(f82(a1),f394(x93201,x93202,x93203,x93204)),f395(x93201,x93202,x93203,x93204)),x93204)+~P1(f330(f330(f240(a1),f2(a1)),x93203))+~P1(f330(f330(f239(a1),x93202),x93204))+P1(f330(f330(f239(a1),x93202),f330(f330(f23(a1),x93204),x93203)))+~P1(f330(f330(f332(a1),f330(f330(f23(a1),x93202),f80(a1))),x93201)) % 242.40/242.48 [9375]~P1(f330(f330(f240(a1),f2(a1)),x93753))+~P1(f330(f330(f240(a1),x93751),x93752))+~P1(f330(f330(f332(a1),x93751),x93754))+P1(f330(f330(f332(a1),f406(x93754,x93751,x93753,x93752)),f306(a1,f80(a1),x93753)))+P1(f330(f330(f240(a1),x93751),f330(f330(f23(a1),x93752),x93753))) % 242.40/242.48 [9405]~P74(x94052)+~E(f806(x94053,x94054,x94051,x94052),f807(x94053,x94054,x94051,x94052))+~P1(f330(f63(x94051),f803(x94053,x94054,x94051,x94052)))+E(f330(f330(f6(f937(x94051,a925),x94052),f330(f6(x94051,x94052),x94053)),x94054),f330(f330(f6(x94051,x94052),x94053),f39(f937(x94051,a925),x94054)))+~P1(f330(f63(f937(x94051,a925)),x94054)) % 242.40/242.48 [9410]~P74(x94102)+~E(f330(x94103,f808(x94103,x94104,x94101,x94102)),f2(x94102))+~P1(f330(f63(x94101),f803(x94103,x94104,x94101,x94102)))+E(f330(f330(f6(f937(x94101,a925),x94102),f330(f6(x94101,x94102),x94103)),x94104),f330(f330(f6(x94101,x94102),x94103),f39(f937(x94101,a925),x94104)))+~P1(f330(f63(f937(x94101,a925)),x94104)) % 242.40/242.48 [9475]~P1(f330(f330(f240(a1),f2(a1)),x94753))+~P1(f330(f330(f239(a1),x94752),x94754))+P1(f330(f330(f332(a1),f394(x94751,x94752,x94753,x94754)),x94751))+P1(f330(f330(f239(a1),x94752),f330(f330(f23(a1),x94754),x94753)))+~P1(f330(f330(f332(a1),f330(f330(f23(a1),x94752),f80(a1))),x94751)) % 242.40/242.48 [9517]~P1(f330(f330(f240(a1),f2(a1)),x95173))+~P1(f330(f330(f239(a1),x95171),x95172))+P1(f330(f330(f332(a1),f395(x95174,x95171,x95173,x95172)),f306(a1,f80(a1),x95173)))+P1(f330(f330(f239(a1),x95171),f330(f330(f23(a1),x95172),x95173)))+~P1(f330(f330(f332(a1),f330(f330(f23(a1),x95171),f80(a1))),x95174)) % 242.40/242.48 [9538]~P74(x95382)+~E(f806(x95383,x95384,x95381,x95382),f807(x95383,x95384,x95381,x95382))+E(f330(f330(f6(f937(x95381,a925),x95382),f330(f6(x95381,x95382),x95383)),x95384),f330(f330(f6(x95381,x95382),x95383),f39(f937(x95381,a925),x95384)))+P1(f330(f330(f332(f937(x95381,a925)),f803(x95383,x95384,x95381,x95382)),x95384))+~P1(f330(f63(f937(x95381,a925)),x95384)) % 242.40/242.48 [9543]~P74(x95432)+~E(f330(x95433,f808(x95433,x95434,x95431,x95432)),f2(x95432))+E(f330(f330(f6(f937(x95431,a925),x95432),f330(f6(x95431,x95432),x95433)),x95434),f330(f330(f6(x95431,x95432),x95433),f39(f937(x95431,a925),x95434)))+P1(f330(f330(f332(f937(x95431,a925)),f803(x95433,x95434,x95431,x95432)),x95434))+~P1(f330(f63(f937(x95431,a925)),x95434)) % 242.40/242.48 [9644]~P74(x96442)+~P1(f330(f63(x96441),f803(x96443,x96444,x96441,x96442)))+E(f330(f330(f6(f937(x96441,a925),x96442),f330(f6(x96441,x96442),x96443)),x96444),f330(f330(f6(x96441,x96442),x96443),f39(f937(x96441,a925),x96444)))+P1(f330(f330(f332(f937(x96441,a925)),f807(x96443,x96444,x96441,x96442)),x96444))+~P1(f330(f63(f937(x96441,a925)),x96444)) % 242.40/242.48 [9645]~P74(x96452)+~P1(f330(f63(x96451),f803(x96453,x96454,x96451,x96452)))+E(f330(f330(f6(f937(x96451,a925),x96452),f330(f6(x96451,x96452),x96453)),x96454),f330(f330(f6(x96451,x96452),x96453),f39(f937(x96451,a925),x96454)))+P1(f330(f330(f332(f937(x96451,a925)),f806(x96453,x96454,x96451,x96452)),x96454))+~P1(f330(f63(f937(x96451,a925)),x96454)) % 242.40/242.48 [9723]~P74(x97232)+E(f330(f330(f6(f937(x97231,a925),x97232),f330(f6(x97231,x97232),x97233)),x97234),f330(f330(f6(x97231,x97232),x97233),f39(f937(x97231,a925),x97234)))+P1(f330(f330(f332(f937(x97231,a925)),f803(x97233,x97234,x97231,x97232)),x97234))+P1(f330(f330(f332(f937(x97231,a925)),f807(x97233,x97234,x97231,x97232)),x97234))+~P1(f330(f63(f937(x97231,a925)),x97234)) % 242.40/242.48 [9724]~P74(x97242)+E(f330(f330(f6(f937(x97241,a925),x97242),f330(f6(x97241,x97242),x97243)),x97244),f330(f330(f6(x97241,x97242),x97243),f39(f937(x97241,a925),x97244)))+P1(f330(f330(f332(f937(x97241,a925)),f803(x97243,x97244,x97241,x97242)),x97244))+P1(f330(f330(f332(f937(x97241,a925)),f806(x97243,x97244,x97241,x97242)),x97244))+~P1(f330(f63(f937(x97241,a925)),x97244)) % 242.40/242.48 [9741]~P74(x97412)+P1(f330(f330(f332(x97411),f808(x97413,x97414,x97411,x97412)),f807(x97413,x97414,x97411,x97412)))+~P1(f330(f63(x97411),f803(x97413,x97414,x97411,x97412)))+E(f330(f330(f6(f937(x97411,a925),x97412),f330(f6(x97411,x97412),x97413)),x97414),f330(f330(f6(x97411,x97412),x97413),f39(f937(x97411,a925),x97414)))+~P1(f330(f63(f937(x97411,a925)),x97414)) % 242.40/242.48 [9742]~P74(x97422)+P1(f330(f330(f332(x97421),f808(x97423,x97424,x97421,x97422)),f806(x97423,x97424,x97421,x97422)))+~P1(f330(f63(x97421),f803(x97423,x97424,x97421,x97422)))+E(f330(f330(f6(f937(x97421,a925),x97422),f330(f6(x97421,x97422),x97423)),x97424),f330(f330(f6(x97421,x97422),x97423),f39(f937(x97421,a925),x97424)))+~P1(f330(f63(f937(x97421,a925)),x97424)) % 242.40/242.48 [9755]P1(f330(x97551,x97552))+~P1(f330(f330(f332(x97553),f901(x97551,x97554,x97552,x97553)),f900(x97551,x97554,x97552,x97553)))+~P1(f330(f63(x97553),x97552))+~P1(f330(x97551,f191(f937(x97553,a925))))+~P1(f330(f330(f239(f937(x97553,a925)),x97552),x97554)) % 242.40/242.48 [9793]~P74(x97932)+P1(f330(f330(f332(x97931),f808(x97933,x97934,x97931,x97932)),f807(x97933,x97934,x97931,x97932)))+E(f330(f330(f6(f937(x97931,a925),x97932),f330(f6(x97931,x97932),x97933)),x97934),f330(f330(f6(x97931,x97932),x97933),f39(f937(x97931,a925),x97934)))+P1(f330(f330(f332(f937(x97931,a925)),f803(x97933,x97934,x97931,x97932)),x97934))+~P1(f330(f63(f937(x97931,a925)),x97934)) % 242.40/242.48 [9794]~P74(x97942)+P1(f330(f330(f332(x97941),f808(x97943,x97944,x97941,x97942)),f806(x97943,x97944,x97941,x97942)))+E(f330(f330(f6(f937(x97941,a925),x97942),f330(f6(x97941,x97942),x97943)),x97944),f330(f330(f6(x97941,x97942),x97943),f39(f937(x97941,a925),x97944)))+P1(f330(f330(f332(f937(x97941,a925)),f803(x97943,x97944,x97941,x97942)),x97944))+~P1(f330(f63(f937(x97941,a925)),x97944)) % 242.40/242.48 [9969]P1(f330(x99691,x99692))+~P1(f330(f63(x99693),x99692))+~P1(f330(x99691,f330(f330(f312(x99693),f901(x99691,x99694,x99692,x99693)),f900(x99691,x99694,x99692,x99693))))+~P1(f330(x99691,f191(f937(x99693,a925))))+~P1(f330(f330(f239(f937(x99693,a925)),x99692),x99694)) % 242.40/242.48 [7960]~P72(x79601)+P1(f330(f330(f240(x79601),x79602),f2(x79601)))+~P1(f330(f330(f239(x79601),f2(x79601)),x79604))+P1(f330(f330(f240(x79601),f2(x79601)),x79602))+P1(f330(f330(f239(x79601),f330(f330(f293(x79601),x79603),x79602)),x79604)) % 242.40/242.48 [7961]~P72(x79611)+P1(f330(f330(f240(x79611),x79612),f2(x79611)))+P1(f330(f330(f240(x79611),f2(x79611)),x79612))+~P1(f330(f330(f240(x79611),f2(x79611)),x79614))+P1(f330(f330(f240(x79611),f330(f330(f293(x79611),x79613),x79612)),x79614)) % 242.40/242.48 [8250]~P1(f330(f330(f239(a1),x82504),f2(a1)))+~E(x82502,f330(f330(f82(a1),f330(f330(f83(a1),x82501),x82503)),x82504))+P1(f330(f330(f240(a1),f2(a1)),x82501))+~P1(f330(f330(f240(a1),x82501),x82504))+P1(f330(f51(x82502,x82501),f330(f330(f256(a1,a1),x82503),x82504))) % 242.40/242.48 [8289]~P1(f330(x82891,x82894))+P1(f330(x82891,f422(x82892,x82891,x82893)))+~P1(f330(f330(f239(a1),f2(a1)),x82892))+~P1(f330(f330(f240(a1),f2(a1)),x82893))+P1(f330(x82891,f330(f330(f23(a1),x82894),f330(f330(f83(a1),x82892),x82893)))) % 242.40/242.48 [8290]~P1(f330(x82901,x82904))+P1(f330(x82901,f424(x82902,x82901,x82903)))+~P1(f330(f330(f239(a1),f2(a1)),x82902))+~P1(f330(f330(f240(a1),f2(a1)),x82903))+P1(f330(x82901,f330(f330(f82(a1),x82904),f330(f330(f83(a1),x82902),x82903)))) % 242.40/242.48 [8291]~P72(x82911)+P1(f330(f330(f240(x82911),x82912),f2(x82911)))+P1(f330(f330(f240(x82911),f2(x82911)),x82912))+P1(f330(f330(f239(x82911),f2(x82911)),x82913))+~P1(f330(f330(f239(x82911),f330(f330(f293(x82911),x82914),x82912)),x82913)) % 242.40/242.48 [8292]~P72(x82921)+P1(f330(f330(f240(x82921),x82922),f2(x82921)))+P1(f330(f330(f240(x82921),f2(x82921)),x82922))+P1(f330(f330(f240(x82921),f2(x82921)),x82923))+~P1(f330(f330(f240(x82921),f330(f330(f293(x82921),x82924),x82922)),x82923)) % 242.40/242.48 [8345]~E(x83451,f330(f330(f82(a1),f330(f330(f83(a1),x83452),x83453)),x83454))+~P1(f330(f330(f239(a1),f2(a1)),x83454))+~P1(f330(f330(f240(a1),f2(a1)),x83452))+~P1(f330(f330(f240(a1),x83454),x83452))+P1(f330(f51(x83451,x83452),f330(f330(f256(a1,a1),x83453),x83454))) % 242.40/242.48 [8461]~P72(x84611)+P1(f330(f330(f240(x84611),x84612),f2(x84611)))+~P1(f330(f330(f239(x84611),f2(x84611)),x84614))+~P1(f330(f330(f239(x84611),x84613),f330(f330(f83(x84611),x84614),x84612)))+P1(f330(f330(f239(x84611),f330(f330(f293(x84611),x84613),x84612)),x84614)) % 242.40/242.48 [8462]~P72(x84621)+P1(f330(f330(f240(x84621),x84622),f2(x84621)))+~P1(f330(f330(f240(x84621),f2(x84621)),x84624))+~P1(f330(f330(f240(x84621),x84623),f330(f330(f83(x84621),x84624),x84622)))+P1(f330(f330(f240(x84621),f330(f330(f293(x84621),x84623),x84622)),x84624)) % 242.40/242.48 [8548]~P72(x85481)+P1(f330(f330(f240(x85481),x85482),f2(x85481)))+~P1(f330(f330(f239(x85481),x85483),f2(x85481)))+P1(f330(f330(f239(x85481),x85483),f330(f330(f293(x85481),x85484),x85482)))+~P1(f330(f330(f239(x85481),f330(f330(f83(x85481),x85483),x85482)),x85484)) % 242.40/242.48 [8549]~P72(x85491)+P1(f330(f330(f240(x85491),x85492),f2(x85491)))+~P1(f330(f330(f240(x85491),x85493),f2(x85491)))+P1(f330(f330(f240(x85491),x85493),f330(f330(f293(x85491),x85494),x85492)))+~P1(f330(f330(f240(x85491),f330(f330(f83(x85491),x85493),x85492)),x85494)) % 242.40/242.48 [8709]~P72(x87091)+~P1(f330(f330(f240(x87091),x87092),f2(x87091)))+P1(f330(f330(f240(x87091),f2(x87091)),x87092))+~P1(f330(f330(f239(x87091),f330(f330(f293(x87091),x87094),x87092)),x87093))+P1(f330(f330(f239(x87091),f330(f330(f83(x87091),x87093),x87092)),x87094)) % 242.40/242.48 [8710]~P72(x87101)+~P1(f330(f330(f240(x87101),x87102),f2(x87101)))+P1(f330(f330(f240(x87101),f2(x87101)),x87102))+~P1(f330(f330(f239(x87101),f330(f330(f83(x87101),x87104),x87102)),x87103))+P1(f330(f330(f239(x87101),f330(f330(f293(x87101),x87103),x87102)),x87104)) % 242.40/242.48 [8711]~P72(x87111)+~P1(f330(f330(f240(x87111),x87112),f2(x87111)))+P1(f330(f330(f240(x87111),f2(x87111)),x87112))+~P1(f330(f330(f240(x87111),f330(f330(f293(x87111),x87114),x87112)),x87113))+P1(f330(f330(f240(x87111),f330(f330(f83(x87111),x87113),x87112)),x87114)) % 242.40/242.48 [8712]~P72(x87121)+~P1(f330(f330(f240(x87121),x87122),f2(x87121)))+P1(f330(f330(f240(x87121),f2(x87121)),x87122))+~P1(f330(f330(f240(x87121),f330(f330(f83(x87121),x87124),x87122)),x87123))+P1(f330(f330(f240(x87121),f330(f330(f293(x87121),x87123),x87122)),x87124)) % 242.40/242.48 [8731]~P72(x87311)+~P1(f330(f330(f239(x87311),f2(x87311)),x87314))+P1(f330(f330(f240(x87311),f2(x87311)),x87312))+~P1(f330(f330(f239(x87311),f330(f330(f83(x87311),x87314),x87312)),x87313))+P1(f330(f330(f239(x87311),f330(f330(f293(x87311),x87313),x87312)),x87314)) % 242.40/242.48 [8732]~P72(x87321)+~P1(f330(f330(f240(x87321),f2(x87321)),x87324))+P1(f330(f330(f240(x87321),f2(x87321)),x87322))+~P1(f330(f330(f240(x87321),f330(f330(f83(x87321),x87324),x87322)),x87323))+P1(f330(f330(f240(x87321),f330(f330(f293(x87321),x87323),x87322)),x87324)) % 242.40/242.48 [8810]~P72(x88101)+~P1(f330(f330(f240(x88101),x88104),f2(x88101)))+~P1(f330(f330(f239(x88101),x88103),f330(f330(f83(x88101),x88102),x88104)))+P1(f330(f330(f239(x88101),x88102),f330(f330(f293(x88101),x88103),x88104)))+~P1(f330(f330(f239(x88101),f330(f330(f83(x88101),x88102),x88104)),x88103)) % 242.40/242.48 [8811]~P72(x88111)+~P1(f330(f330(f239(x88111),x88112),f2(x88111)))+~P1(f330(f330(f239(x88111),x88113),f330(f330(f83(x88111),x88112),x88114)))+P1(f330(f330(f239(x88111),x88112),f330(f330(f293(x88111),x88113),x88114)))+~P1(f330(f330(f239(x88111),f330(f330(f83(x88111),x88112),x88114)),x88113)) % 242.40/242.48 [8812]~P72(x88121)+~P1(f330(f330(f240(x88121),x88124),f2(x88121)))+~P1(f330(f330(f240(x88121),x88123),f330(f330(f83(x88121),x88122),x88124)))+P1(f330(f330(f240(x88121),x88122),f330(f330(f293(x88121),x88123),x88124)))+~P1(f330(f330(f240(x88121),f330(f330(f83(x88121),x88122),x88124)),x88123)) % 242.40/242.48 [8813]~P72(x88131)+~P1(f330(f330(f240(x88131),x88132),f2(x88131)))+~P1(f330(f330(f240(x88131),x88133),f330(f330(f83(x88131),x88132),x88134)))+P1(f330(f330(f240(x88131),x88132),f330(f330(f293(x88131),x88133),x88134)))+~P1(f330(f330(f240(x88131),f330(f330(f83(x88131),x88132),x88134)),x88133)) % 242.40/242.48 [8935]~P72(x89351)+~P1(f330(f330(f240(x89351),x89353),f2(x89351)))+~P1(f330(f330(f239(x89351),x89352),f330(f330(f83(x89351),x89354),x89353)))+~P1(f330(f330(f239(x89351),f330(f330(f83(x89351),x89354),x89353)),x89352))+P1(f330(f330(f239(x89351),f330(f330(f293(x89351),x89352),x89353)),x89354)) % 242.40/242.48 [8936]~P72(x89361)+~P1(f330(f330(f240(x89361),x89363),f2(x89361)))+~P1(f330(f330(f240(x89361),x89362),f330(f330(f83(x89361),x89364),x89363)))+~P1(f330(f330(f240(x89361),f330(f330(f83(x89361),x89364),x89363)),x89362))+P1(f330(f330(f240(x89361),f330(f330(f293(x89361),x89362),x89363)),x89364)) % 242.40/242.48 [8953]~P72(x89531)+~P1(f330(f330(f239(x89531),f2(x89531)),x89534))+~P1(f330(f330(f239(x89531),x89532),f330(f330(f83(x89531),x89534),x89533)))+~P1(f330(f330(f239(x89531),f330(f330(f83(x89531),x89534),x89533)),x89532))+P1(f330(f330(f239(x89531),f330(f330(f293(x89531),x89532),x89533)),x89534)) % 242.40/242.48 [8954]~P72(x89541)+~P1(f330(f330(f240(x89541),f2(x89541)),x89544))+~P1(f330(f330(f240(x89541),x89542),f330(f330(f83(x89541),x89544),x89543)))+~P1(f330(f330(f240(x89541),f330(f330(f83(x89541),x89544),x89543)),x89542))+P1(f330(f330(f240(x89541),f330(f330(f293(x89541),x89542),x89543)),x89544)) % 242.40/242.48 [9137]E(f330(f330(f23(a1),f408(x91371,x91372,x91373,x91374)),f409(x91371,x91372,x91373,x91374)),x91374)+~P1(f330(f330(f240(a1),f2(a1)),x91373))+~P1(f330(f330(f332(a1),x91372),x91371))+~P1(f330(f330(f240(a1),x91374),x91372))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x91374),x91373)),x91372)) % 242.40/242.48 [9215]~P1(f330(x92151,x92152))+~P1(f330(f330(f239(a1),f2(a1)),x92153))+~P1(f330(f330(f240(a1),f2(a1)),x92154))+~P1(f330(x92151,f330(f330(f23(a1),f422(x92153,x92151,x92154)),x92154)))+P1(f330(x92151,f330(f330(f23(a1),x92152),f330(f330(f83(a1),x92153),x92154)))) % 242.40/242.48 [9216]~P1(f330(x92161,x92162))+~P1(f330(f330(f239(a1),f2(a1)),x92163))+~P1(f330(f330(f240(a1),f2(a1)),x92164))+~P1(f330(x92161,f330(f330(f82(a1),f424(x92163,x92161,x92164)),x92164)))+P1(f330(x92161,f330(f330(f82(a1),x92162),f330(f330(f83(a1),x92163),x92164)))) % 242.40/242.48 [9368]~P1(f330(f330(f240(a1),f2(a1)),x93683))+~P1(f330(f330(f332(a1),x93682),x93681))+~P1(f330(f330(f240(a1),x93684),x93682))+P1(f330(f330(f332(a1),f408(x93681,x93682,x93683,x93684)),x93681))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x93684),x93683)),x93682)) % 242.40/242.48 [9388]E(f330(f330(f23(a1),f396(x93881,x93882,x93883,x93884)),f397(x93881,x93882,x93883,x93884)),x93884)+~P1(f330(f330(f240(a1),f2(a1)),x93883))+~P1(f330(f330(f239(a1),x93884),x93882))+~P1(f330(f330(f332(a1),f330(f330(f82(a1),x93882),f80(a1))),x93881))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x93884),x93883)),x93882)) % 242.40/242.48 [9422]~P1(f330(f330(f240(a1),f2(a1)),x94222))+~P1(f330(f330(f332(a1),x94223),x94224))+~P1(f330(f330(f240(a1),x94221),x94223))+P1(f330(f330(f332(a1),f409(x94224,x94223,x94222,x94221)),f306(a1,f80(a1),x94222)))+P1(f330(f330(f240(a1),f330(f330(f82(a1),x94221),x94222)),x94223)) % 242.40/242.48 [9509]~P1(f330(f330(f240(a1),f2(a1)),x95093))+~P1(f330(f330(f239(a1),x95094),x95092))+P1(f330(f330(f332(a1),f396(x95091,x95092,x95093,x95094)),x95091))+~P1(f330(f330(f332(a1),f330(f330(f82(a1),x95092),f80(a1))),x95091))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x95094),x95093)),x95092)) % 242.40/242.48 [9554]~P1(f330(f330(f240(a1),f2(a1)),x95542))+~P1(f330(f330(f239(a1),x95541),x95543))+P1(f330(f330(f332(a1),f397(x95544,x95543,x95542,x95541)),f306(a1,f80(a1),x95542)))+~P1(f330(f330(f332(a1),f330(f330(f82(a1),x95543),f80(a1))),x95544))+P1(f330(f330(f239(a1),f330(f330(f82(a1),x95541),x95542)),x95543)) % 242.40/242.48 [9847]~P42(x98471,x98473)+~P30(x98471,x98474)+P42(x98471,f330(f330(f113(f937(f936(x98471,x98471),a925)),x98472),x98473))+~P1(f330(f330(f239(f937(f936(x98471,x98471),a925)),x98472),f330(f255(f937(f936(x98471,x98471),a925),f937(f936(x98471,x98471),a925)),x98474)))+~P1(f330(f330(f239(f937(f936(x98471,x98471),a925)),x98473),f330(f260(f937(f936(x98471,x98471),a925),f937(f936(x98471,x98471),a925)),x98474))) % 242.40/242.48 [10224]~P21(x102242,x102244,x102243)+E(x102241,f191(f937(x102242,a925)))+~P1(f330(f63(x102242),x102241))+P1(f330(f330(f332(x102242),f330(x102243,x102241)),x102241))+~P1(f330(f330(f332(x102242),f330(f330(x102244,f883(x102241,x102243,x102244,x102242)),f886(x102241,x102243,x102244,x102242))),f330(f330(f312(x102242),f883(x102241,x102243,x102244,x102242)),f330(f330(f312(x102242),f886(x102241,x102243,x102244,x102242)),f191(f937(x102242,a925)))))) % 242.40/242.48 [10159]~P113(x101592)+~P69(x101591)+~P1(f330(f330(f239(f937(x101591,x101592)),x101593),x101594))+P1(f330(f330(f240(f937(x101591,x101592)),x101593),x101594))+~P1(f330(f58(x101591),f330(f330(f8(a925,a925,x101591),a325),f330(f330(f18(x101591,x101592,a925),f330(f330(f8(x101592,f937(x101592,a925),x101591),a327),x101593)),x101594)))) % 242.40/242.48 [9761]~P61(x97611,x97611,x97614)+P1(f330(f330(f332(f936(x97611,x97611)),f330(f330(f256(x97611,x97611),x97612),x97613)),f310(x97611,x97614)))+P1(f330(f330(f332(f936(x97611,x97611)),f330(f330(f256(x97611,x97611),x97613),x97612)),f310(x97611,x97614)))+~P1(f330(f330(f332(f936(x97611,x97611)),f330(f330(f256(x97611,x97611),x97615),x97612)),f310(x97611,x97614)))+~P1(f330(f330(f332(f936(x97611,x97611)),f330(f330(f256(x97611,x97611),x97615),x97613)),f310(x97611,x97614))) % 242.40/242.48 [5854]E(x58541,f2(a930))+~E(f330(f37(x58542),x58545),x58541)+E(f330(f37(x58542),x58543),f330(a115,x58541))+~E(x58543,f330(f330(f312(x58542),x58544),x58545))+P1(f330(f330(f332(x58542),x58544),x58545)) % 242.40/242.48 [5976]~P71(x59762)+E(x59761,f2(x59762))+E(x59763,f2(x59762))+~E(f330(f330(f293(x59762),x59764),x59763),f330(f330(f293(x59762),x59765),x59761))+E(f330(f330(f83(x59762),x59764),x59761),f330(f330(f83(x59762),x59765),x59763)) % 242.40/242.48 [5977]~P71(x59772)+E(x59771,f2(x59772))+E(x59773,f2(x59772))+~E(f330(f330(f83(x59772),x59774),x59773),f330(f330(f83(x59772),x59775),x59771))+E(f330(f330(f293(x59772),x59774),x59771),f330(f330(f293(x59772),x59775),x59773)) % 242.40/242.48 [6046]~E(f330(f37(x60461),x60465),x60463)+~E(x60465,f191(f937(x60461,a925)))+E(f330(f37(x60461),x60462),f330(a115,x60463))+~E(x60462,f330(f330(f312(x60461),x60464),x60465))+P1(f330(f330(f332(x60461),x60464),x60465)) % 242.40/242.48 [6284]~P119(x62842)+~E(f330(x62843,x62845),f2(x62842))+E(f330(f330(f9(x62841,x62842),x62843),x62844),f2(x62842))+~P1(f330(f63(x62841),x62844))+~P1(f330(f330(f332(x62841),x62845),x62844)) % 242.40/242.48 [6655]~P112(x66553)+E(x66551,x66552)+~E(f330(f305(x66553,x66554),x66551),f330(f305(x66553,x66555),x66552))+~P1(f330(f330(f240(x66553),x66555),x66552))+~P1(f330(f330(f240(x66553),x66554),x66551)) % 242.40/242.48 [6656]~P112(x66563)+E(x66561,x66562)+~E(f330(f305(x66563,x66561),x66564),f330(f305(x66563,x66562),x66565))+~P1(f330(f330(f240(x66563),x66562),x66565))+~P1(f330(f330(f240(x66563),x66561),x66564)) % 242.40/242.48 [7727]~P112(x77271)+~P16(x77271,f330(f330(f137(x77271),x77274),x77275))+~P1(f330(f330(f332(x77271),x77273),f330(f175(x77271),x77275)))+~P1(f330(f330(f332(x77271),x77272),f330(f175(x77271),x77274)))+P1(f330(f330(f239(x77271),x77272),x77273)) % 242.40/242.48 [8847]~P113(x88471)+~P1(f330(f330(f240(f937(x88471,a925)),f306(x88471,x88475,x88472)),f306(x88471,x88474,x88473)))+~P1(f330(f330(f239(x88471),x88475),x88472))+P1(f330(f330(f240(x88471),x88472),x88473))+P1(f330(f330(f240(x88471),x88474),x88475)) % 242.40/242.48 [10267]~P20(x102672,x102675,x102673)+E(x102671,f191(f937(x102672,a925)))+~E(f330(f330(x102675,f330(x102674,f355(x102671,x102674,x102673,x102675,x102672))),f330(x102674,f356(x102671,x102674,x102673,x102675,x102672))),f330(x102674,f330(f330(x102675,f355(x102671,x102674,x102673,x102675,x102672)),f356(x102671,x102674,x102673,x102675,x102672))))+E(f330(x102673,f330(f313(x102672,x102672,x102674),x102671)),f330(x102674,f330(x102673,x102671)))+~P1(f330(f63(x102672),x102671)) % 242.40/242.48 [6652]~P21(x66522,x66525,x66523)+E(x66521,f191(f937(x66522,a925)))+~P1(f330(f63(x66522),x66521))+E(f330(x66523,f330(f330(f312(x66522),x66524),x66521)),f330(f330(x66525,x66524),f330(x66523,x66521)))+P1(f330(f330(f332(x66522),x66524),x66521)) % 242.40/242.48 [7476]~P20(x74762,x74763,x74764)+E(f330(f330(x74763,f330(x74764,x74761)),f330(x74764,x74765)),f330(x74764,x74765))+E(x74761,f191(f937(x74762,a925)))+~P1(f330(f63(x74762),x74765))+~P1(f330(f330(f239(f937(x74762,a925)),x74761),x74765)) % 242.40/242.48 [7859]~P21(x78594,x78595,x78591)+E(f330(x78591,x78592),x78593)+~P1(f330(f63(x78594),x78592))+~E(f330(f330(f23(f937(x78594,a925)),x78592),f330(f330(f312(x78594),x78593),f191(f937(x78594,a925)))),f191(f937(x78594,a925)))+~P1(f330(f330(f332(x78594),x78593),x78592)) % 242.40/242.48 [8817]E(x88171,x88172)+~P11(x88173,x88174,x88175)+E(f330(f330(f104(f937(x88173,a925)),x88171),x88172),f191(f937(x88173,a925)))+~P1(f330(f330(f332(f937(x88173,a925)),x88172),f330(f330(f62(x88173),x88174),x88175)))+~P1(f330(f330(f332(f937(x88173,a925)),x88171),f330(f330(f62(x88173),x88174),x88175))) % 242.40/242.48 [9637]~P74(x96372)+~E(f330(x96373,f897(x96373,x96374,x96375,x96371,x96372)),f2(x96372))+E(f330(f330(f6(x96371,x96372),x96373),x96374),f330(f330(f6(x96371,x96372),x96373),x96375))+~P1(f330(f63(x96371),x96375))+~P1(f330(f330(f239(f937(x96371,a925)),x96374),x96375)) % 242.40/242.48 [9638]~P74(x96382)+~E(f330(x96383,f898(x96383,x96384,x96385,x96381,x96382)),f2(x96382))+E(f330(f330(f6(x96381,x96382),x96383),x96384),f330(f330(f6(x96381,x96382),x96383),x96385))+~P1(f330(f63(x96381),x96385))+~P1(f330(f330(f239(f937(x96381,a925)),x96384),x96385)) % 242.40/242.48 [9639]~P80(x96392)+~E(f330(x96393,f460(x96393,x96394,x96395,x96391,x96392)),f80(x96392))+E(f330(f330(f9(x96391,x96392),x96393),x96394),f330(f330(f9(x96391,x96392),x96393),x96395))+~P1(f330(f63(x96391),x96395))+~P1(f330(f330(f239(f937(x96391,a925)),x96394),x96395)) % 242.40/242.48 [9640]~P80(x96402)+~E(f330(x96403,f465(x96403,x96404,x96405,x96401,x96402)),f80(x96402))+E(f330(f330(f9(x96401,x96402),x96403),x96404),f330(f330(f9(x96401,x96402),x96403),x96405))+~P1(f330(f63(x96401),x96405))+~P1(f330(f330(f239(f937(x96401,a925)),x96404),x96405)) % 242.40/242.48 [10112]~P89(x101121)+~P1(f330(f63(x101122),x101125))+~P1(f330(f330(f239(x101121),f2(x101121)),f330(x101123,f848(x101123,x101124,x101125,x101122,x101121))))+P1(f330(f330(f239(x101121),f330(f330(f6(x101122,x101121),x101123),x101124)),f330(f330(f6(x101122,x101121),x101123),x101125)))+~P1(f330(f330(f239(f937(x101122,a925)),x101124),x101125)) % 242.40/242.48 [7724]E(x77241,f2(a930))+P1(f330(x77242,x77243))+~E(x77244,f330(f330(f82(a930),f330(f330(f83(a930),x77241),x77243)),x77245))+~P1(f330(f330(f240(a930),x77245),x77241))+~P1(f330(x77242,f330(f330(f38(a930),x77244),x77241))) % 242.40/242.48 [7799]E(x77991,f2(a930))+P1(f330(x77992,x77993))+~P1(f330(x77992,f47(a930,x77994,x77991)))+~E(x77994,f330(f330(f82(a930),f330(f330(f83(a930),x77991),x77995)),x77993))+~P1(f330(f330(f240(a930),x77993),x77991)) % 242.40/242.48 [8095]~P71(x80953)+E(f330(x80951,x80952),f2(x80953))+~P1(f330(f63(x80954),x80955))+E(f330(f330(f9(x80954,x80953),x80951),f330(f330(f23(f937(x80954,a925)),x80955),f330(f330(f312(x80954),x80952),f191(f937(x80954,a925))))),f330(f330(f9(x80954,x80953),x80951),x80955))+P1(f330(f330(f332(x80954),x80952),x80955)) % 242.40/242.48 [8502]~P74(x85021)+~P1(f330(f63(x85022),x85025))+~P1(f330(f63(x85022),x85024))+~E(f330(f330(f104(f937(x85022,a925)),x85024),x85025),f191(f937(x85022,a925)))+E(f330(f330(f82(x85021),f330(f330(f6(x85022,x85021),x85023),x85024)),f330(f330(f6(x85022,x85021),x85023),x85025)),f330(f330(f6(x85022,x85021),x85023),f330(f330(f113(f937(x85022,a925)),x85024),x85025))) % 242.40/242.48 [8504]~P80(x85041)+~P1(f330(f63(x85042),x85045))+~P1(f330(f63(x85042),x85044))+~E(f330(f330(f104(f937(x85042,a925)),x85044),x85045),f191(f937(x85042,a925)))+E(f330(f330(f83(x85041),f330(f330(f9(x85042,x85041),x85043),x85044)),f330(f330(f9(x85042,x85041),x85043),x85045)),f330(f330(f9(x85042,x85041),x85043),f330(f330(f113(f937(x85042,a925)),x85044),x85045))) % 242.40/242.48 [8605]~P71(x86053)+E(f330(x86051,x86052),f2(x86053))+~P1(f330(f63(x86054),x86055))+E(f330(f330(f9(x86054,x86053),x86051),f330(f330(f23(f937(x86054,a925)),x86055),f330(f330(f312(x86054),x86052),f191(f937(x86054,a925))))),f330(f330(f293(x86053),f330(f330(f9(x86054,x86053),x86051),x86055)),f330(x86051,x86052)))+~P1(f330(f330(f332(x86054),x86052),x86055)) % 242.40/242.48 [9345]~P11(x93451,x93455,x93454)+~E(f330(f330(f62(x93451),f330(f330(f312(x93451),x93452),f191(f937(x93451,a925)))),x93454),f330(f330(f62(x93451),f330(f330(f312(x93451),x93453),f191(f937(x93451,a925)))),x93454))+~P1(f330(f330(f332(x93451),x93453),x93455))+~P1(f330(f330(f332(x93451),x93452),x93455))+P1(f330(f330(f332(f936(x93451,x93451)),f330(f330(f256(x93451,x93451),x93452),x93453)),x93454)) % 242.40/242.48 [9367]~P11(x93671,x93675,x93673)+E(f330(f330(f62(x93671),f330(f330(f312(x93671),x93672),f191(f937(x93671,a925)))),x93673),f330(f330(f62(x93671),f330(f330(f312(x93671),x93674),f191(f937(x93671,a925)))),x93673))+~P1(f330(f330(f332(x93671),x93674),x93675))+~P1(f330(f330(f332(x93671),x93672),x93675))+~P1(f330(f330(f332(f936(x93671,x93671)),f330(f330(f256(x93671,x93671),x93672),x93674)),x93673)) % 242.40/242.48 [9666]~P80(x96661)+~P1(f330(f63(x96662),x96665))+~P1(f330(f63(x96662),x96664))+~E(f330(f330(f104(f937(x96662,a925)),x96664),x96665),f191(f937(x96662,a925)))+E(f330(f330(f83(x96661),f330(f330(f330(f67(x96661,x96662,f83(x96661)),x96663),f80(x96661)),x96664)),f330(f330(f330(f67(x96661,x96662,f83(x96661)),x96663),f80(x96661)),x96665)),f330(f330(f330(f67(x96661,x96662,f83(x96661)),x96663),f80(x96661)),f330(f330(f113(f937(x96662,a925)),x96664),x96665))) % 242.40/242.48 [9675]~P74(x96751)+~E(f330(x96753,f917(x96753,x96755,x96754,x96752,x96751)),f2(x96751))+~P1(f330(f63(x96752),x96754))+~P1(f330(f63(x96752),x96755))+E(f330(f330(f82(x96751),f330(f330(f6(x96752,x96751),x96753),x96754)),f330(f330(f6(x96752,x96751),x96753),x96755)),f330(f330(f6(x96752,x96751),x96753),f330(f330(f113(f937(x96752,a925)),x96754),x96755))) % 242.40/242.48 [9676]~P74(x96761)+~E(f330(x96763,f918(x96763,x96765,x96764,x96762,x96761)),f2(x96761))+~P1(f330(f63(x96762),x96764))+~P1(f330(f63(x96762),x96765))+E(f330(f330(f82(x96761),f330(f330(f6(x96762,x96761),x96763),x96764)),f330(f330(f6(x96762,x96761),x96763),x96765)),f330(f330(f6(x96762,x96761),x96763),f330(f330(f113(f937(x96762,a925)),x96764),x96765))) % 242.40/242.48 [9677]~P80(x96771)+~E(f330(x96773,f458(x96773,x96775,x96774,x96772,x96771)),f80(x96771))+~P1(f330(f63(x96772),x96774))+~P1(f330(f63(x96772),x96775))+E(f330(f330(f83(x96771),f330(f330(f9(x96772,x96771),x96773),x96774)),f330(f330(f9(x96772,x96771),x96773),x96775)),f330(f330(f9(x96772,x96771),x96773),f330(f330(f113(f937(x96772,a925)),x96774),x96775))) % 242.40/242.48 [9678]~P80(x96781)+~E(f330(x96783,f461(x96783,x96785,x96784,x96782,x96781)),f80(x96781))+~P1(f330(f63(x96782),x96784))+~P1(f330(f63(x96782),x96785))+E(f330(f330(f83(x96781),f330(f330(f9(x96782,x96781),x96783),x96784)),f330(f330(f9(x96782,x96781),x96783),x96785)),f330(f330(f9(x96782,x96781),x96783),f330(f330(f113(f937(x96782,a925)),x96784),x96785))) % 242.40/242.48 [9890]~P80(x98901)+~E(f330(x98903,f364(x98903,x98905,x98904,x98902,x98901)),f80(x98901))+~P1(f330(f63(x98902),x98904))+~P1(f330(f63(x98902),x98905))+E(f330(f330(f83(x98901),f330(f330(f330(f67(x98901,x98902,f83(x98901)),x98903),f80(x98901)),x98904)),f330(f330(f330(f67(x98901,x98902,f83(x98901)),x98903),f80(x98901)),x98905)),f330(f330(f330(f67(x98901,x98902,f83(x98901)),x98903),f80(x98901)),f330(f330(f113(f937(x98902,a925)),x98904),x98905))) % 242.40/242.48 [10000]~P74(x100002)+E(f330(f330(f6(x100001,x100002),x100003),x100004),f330(f330(f6(x100001,x100002),x100003),x100005))+~P1(f330(f63(x100001),x100005))+~P1(f330(f330(f239(f937(x100001,a925)),x100004),x100005))+P1(f330(f330(f332(x100001),f897(x100003,x100004,x100005,x100001,x100002)),f330(f330(f23(f937(x100001,a925)),x100005),x100004))) % 242.40/242.48 [10001]~P74(x100012)+E(f330(f330(f6(x100011,x100012),x100013),x100014),f330(f330(f6(x100011,x100012),x100013),x100015))+~P1(f330(f63(x100011),x100015))+~P1(f330(f330(f239(f937(x100011,a925)),x100014),x100015))+P1(f330(f330(f332(x100011),f898(x100013,x100014,x100015,x100011,x100012)),f330(f330(f23(f937(x100011,a925)),x100015),x100014))) % 242.40/242.48 [10002]~P80(x100022)+E(f330(f330(f9(x100021,x100022),x100023),x100024),f330(f330(f9(x100021,x100022),x100023),x100025))+~P1(f330(f63(x100021),x100025))+~P1(f330(f330(f239(f937(x100021,a925)),x100024),x100025))+P1(f330(f330(f332(x100021),f460(x100023,x100024,x100025,x100021,x100022)),f330(f330(f23(f937(x100021,a925)),x100025),x100024))) % 242.40/242.48 [10003]~P80(x100032)+E(f330(f330(f9(x100031,x100032),x100033),x100034),f330(f330(f9(x100031,x100032),x100033),x100035))+~P1(f330(f63(x100031),x100035))+~P1(f330(f330(f239(f937(x100031,a925)),x100034),x100035))+P1(f330(f330(f332(x100031),f465(x100033,x100034,x100035,x100031,x100032)),f330(f330(f23(f937(x100031,a925)),x100035),x100034))) % 242.40/242.48 [10021]~P74(x100211)+~P1(f330(f63(x100212),x100214))+~P1(f330(f63(x100212),x100215))+E(f330(f330(f82(x100211),f330(f330(f6(x100212,x100211),x100213),x100214)),f330(f330(f6(x100212,x100211),x100213),x100215)),f330(f330(f6(x100212,x100211),x100213),f330(f330(f113(f937(x100212,a925)),x100214),x100215)))+P1(f330(f330(f332(x100212),f917(x100213,x100215,x100214,x100212,x100211)),f330(f330(f104(f937(x100212,a925)),x100214),x100215))) % 242.40/242.48 [10022]~P74(x100221)+~P1(f330(f63(x100222),x100224))+~P1(f330(f63(x100222),x100225))+E(f330(f330(f82(x100221),f330(f330(f6(x100222,x100221),x100223),x100224)),f330(f330(f6(x100222,x100221),x100223),x100225)),f330(f330(f6(x100222,x100221),x100223),f330(f330(f113(f937(x100222,a925)),x100224),x100225)))+P1(f330(f330(f332(x100222),f918(x100223,x100225,x100224,x100222,x100221)),f330(f330(f104(f937(x100222,a925)),x100224),x100225))) % 242.40/242.48 [10023]~P80(x100231)+~P1(f330(f63(x100232),x100234))+~P1(f330(f63(x100232),x100235))+E(f330(f330(f83(x100231),f330(f330(f9(x100232,x100231),x100233),x100234)),f330(f330(f9(x100232,x100231),x100233),x100235)),f330(f330(f9(x100232,x100231),x100233),f330(f330(f113(f937(x100232,a925)),x100234),x100235)))+P1(f330(f330(f332(x100232),f458(x100233,x100235,x100234,x100232,x100231)),f330(f330(f104(f937(x100232,a925)),x100234),x100235))) % 242.40/242.48 [10024]~P80(x100241)+~P1(f330(f63(x100242),x100244))+~P1(f330(f63(x100242),x100245))+E(f330(f330(f83(x100241),f330(f330(f9(x100242,x100241),x100243),x100244)),f330(f330(f9(x100242,x100241),x100243),x100245)),f330(f330(f9(x100242,x100241),x100243),f330(f330(f113(f937(x100242,a925)),x100244),x100245)))+P1(f330(f330(f332(x100242),f461(x100243,x100245,x100244,x100242,x100241)),f330(f330(f104(f937(x100242,a925)),x100244),x100245))) % 242.40/242.48 [10030]~P89(x100305)+~P1(f330(f63(x100301),x100304))+P1(f330(f330(f239(x100305),f330(f330(f6(x100301,x100305),x100302),x100303)),f330(f330(f6(x100301,x100305),x100302),x100304)))+~P1(f330(f330(f239(f937(x100301,a925)),x100303),x100304))+P1(f330(f330(f332(x100301),f848(x100302,x100303,x100304,x100301,x100305)),f330(f330(f23(f937(x100301,a925)),x100304),x100303))) % 242.40/242.48 [10074]~P80(x100741)+~P1(f330(f63(x100742),x100744))+~P1(f330(f63(x100742),x100745))+E(f330(f330(f83(x100741),f330(f330(f330(f67(x100741,x100742,f83(x100741)),x100743),f80(x100741)),x100744)),f330(f330(f330(f67(x100741,x100742,f83(x100741)),x100743),f80(x100741)),x100745)),f330(f330(f330(f67(x100741,x100742,f83(x100741)),x100743),f80(x100741)),f330(f330(f113(f937(x100742,a925)),x100744),x100745)))+P1(f330(f330(f332(x100742),f364(x100743,x100745,x100744,x100742,x100741)),f330(f330(f104(f937(x100742,a925)),x100744),x100745))) % 242.40/242.48 [9026]~P21(x90261,x90264,x90265)+~P1(f330(f63(x90261),x90262))+E(f330(f330(f23(f937(x90261,a925)),x90262),f330(f330(f312(x90261),x90263),f191(f937(x90261,a925)))),f191(f937(x90261,a925)))+~P1(f330(f330(f332(x90261),x90263),x90262))+E(f330(f330(x90264,x90263),f330(x90265,f330(f330(f23(f937(x90261,a925)),x90262),f330(f330(f312(x90261),x90263),f191(f937(x90261,a925)))))),f330(x90265,x90262)) % 242.40/242.48 [9104]~P21(x91041,x91044,x91045)+~P1(f330(f63(x91041),x91043))+~P1(f330(f63(x91041),x91042))+E(f330(f330(f104(f937(x91041,a925)),x91042),x91043),f191(f937(x91041,a925)))+E(f330(f330(x91044,f330(x91045,f330(f330(f113(f937(x91041,a925)),x91042),x91043))),f330(x91045,f330(f330(f104(f937(x91041,a925)),x91042),x91043))),f330(f330(x91044,f330(x91045,x91042)),f330(x91045,x91043))) % 242.40/242.48 [9680]~P1(f330(f330(f239(a1),x96804),f2(a1)))+~P1(f330(f330(f240(a1),x96803),x96805))+P1(f330(f330(f239(a1),x96801),x96802))+~P1(f330(f330(f240(a1),x96803),x96804))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f83(a1),x96803),x96802)),x96805)),f330(f330(f82(a1),f330(f330(f83(a1),x96803),x96801)),x96804))) % 242.40/242.48 [9682]~P1(f330(f330(f239(a1),f2(a1)),x96825))+P1(f330(f330(f239(a1),x96821),x96822))+~P1(f330(f330(f240(a1),x96823),x96824))+~P1(f330(f330(f240(a1),x96825),x96824))+~P1(f330(f330(f239(a1),f330(f330(f82(a1),f330(f330(f83(a1),x96824),x96821)),x96825)),f330(f330(f82(a1),f330(f330(f83(a1),x96824),x96822)),x96823))) % 242.40/242.48 [9799]~P71(x97995)+E(f330(x97991,f466(x97991,x97992,x97993,x97994,x97995)),f2(x97995))+~P1(f330(f63(x97994),x97993))+~P1(f330(f63(x97994),x97992))+E(f330(f330(f293(x97995),f330(f330(f83(x97995),f330(f330(f9(x97994,x97995),x97991),x97993)),f330(f330(f9(x97994,x97995),x97991),x97992))),f330(f330(f9(x97994,x97995),x97991),f330(f330(f104(f937(x97994,a925)),x97993),x97992))),f330(f330(f9(x97994,x97995),x97991),f330(f330(f113(f937(x97994,a925)),x97993),x97992))) % 242.40/242.48 [10066]~P71(x100661)+~P1(f330(f63(x100662),x100664))+~P1(f330(f63(x100662),x100665))+E(f330(f330(f293(x100661),f330(f330(f83(x100661),f330(f330(f9(x100662,x100661),x100663),x100664)),f330(f330(f9(x100662,x100661),x100663),x100665))),f330(f330(f9(x100662,x100661),x100663),f330(f330(f104(f937(x100662,a925)),x100664),x100665))),f330(f330(f9(x100662,x100661),x100663),f330(f330(f113(f937(x100662,a925)),x100664),x100665)))+P1(f330(f330(f332(x100662),f466(x100663,x100665,x100664,x100662,x100661)),f330(f330(f104(f937(x100662,a925)),x100664),x100665))) % 242.40/242.48 [9387]E(f330(f330(f137(x93871),x93872),x93873),f330(f330(f137(x93871),x93874),x93875))+~E(f330(f330(f178(x93871),f330(f192(f931(x93871)),x93874)),x93872),x93874)+~E(f330(f330(f178(x93871),f330(f192(f931(x93871)),x93872)),x93874),x93872)+~E(x93875,f330(f330(f137(x93871),f330(f330(f141(x93871),f330(f192(f931(x93871)),x93874)),x93872)),x93873))+~E(f330(f330(f137(x93871),f330(f330(f141(x93871),f330(f192(f931(x93871)),x93872)),x93874)),x93875),x93873) % 242.40/242.48 [9797]~P112(x97972)+E(f330(f330(f151(x97971,x97972,x97973),x97974),f173(x97971,x97974,x97975)),x97975)+~P16(x97972,f330(f330(f157(x97971,x97972),x97973),x97975))+~P1(f330(f330(f332(x97971),x97974),f330(f175(x97971),x97975)))+~E(f330(f144(x97971),f330(f139(x97971,f330(f330(f8(x97972,a925,x97971),f330(a327,f330(x97973,x97974))),x97973)),x97975)),x97974) % 242.40/242.48 [10130]~P78(x101301)+~P1(f330(f68(x101301,x101301,f83(x101301),x101302,x101303),x101305))+~P1(f330(f330(f332(x101301),x101304),x101303))+P1(f330(f330(f332(x101301),x101302),x101303))+P1(f330(f68(x101301,x101301,f83(x101301),x101304,f330(f330(f312(x101301),x101302),f330(f330(f23(f937(x101301,a925)),x101303),f330(f330(f312(x101301),x101304),f191(f937(x101301,a925)))))),x101305)) % 242.40/242.48 [7484]E(x74841,x74842)+~P28(x74844,x74845,x74843,x74846)+~E(f330(x74843,x74841),f330(x74843,x74842))+~P1(f330(f330(f332(x74844),x74842),x74846))+~P1(f330(f330(f332(x74844),x74841),x74846)) % 242.40/242.48 [6747]~P148(x67474)+E(x67471,x67472)+~E(x67475,x67476)+E(x67473,f2(x67474))+~E(f330(f330(f82(x67474),x67475),f330(f330(f83(x67474),x67473),x67471)),f330(f330(f82(x67474),x67476),f330(f330(f83(x67474),x67473),x67472))) % 242.40/242.48 [7779]~P112(x77791)+~P8(x77791)+~P1(f330(f330(f240(x77791),x77792),f330(x77795,x77796)))+~P1(f330(f330(f332(x77793),x77796),x77794))+P1(f330(f330(f240(x77791),x77792),f330(f330(f41(x77793,x77791),x77794),x77795))) % 242.40/242.48 [10126]~P28(x101262,x101261,x101263,x101264)+~P28(x101261,x101262,x101266,x101265)+P29(x101261,x101262,f715(x101263,x101264,x101265,x101266,x101262,x101261),x101265,x101264)+~P1(f330(f330(f239(f937(x101262,a925)),f330(f313(x101261,x101262,x101266),x101265)),x101264))+~P1(f330(f330(f239(f937(x101261,a925)),f330(f313(x101262,x101261,x101263),x101264)),x101265)) % 242.40/242.48 [8472]~P112(x84721)+~P8(x84721)+~P1(f330(f330(f240(x84721),f330(x84724,x84726)),x84725))+~P1(f330(f330(f332(x84722),x84726),x84723))+P1(f330(f330(f240(x84721),f330(f330(f42(x84722,x84721),x84723),x84724)),x84725)) % 242.40/242.48 [8738]~P22(x87382,x87385,x87386,x87381)+~P1(f330(f63(x87382),x87384))+~P1(f330(f63(x87382),x87383))+~E(f330(f330(f104(f937(x87382,a925)),x87383),x87384),f191(f937(x87382,a925)))+E(f330(x87381,f330(f330(f113(f937(x87382,a925)),x87383),x87384)),f330(f74(x87385,x87385,x87385,f330(x87381,x87383)),f330(x87381,x87384))) % 242.40/242.48 [10324]~P80(x103241)+~E(f835(x103244,x103245,x103243,x103246,x103242,x103241),f836(x103244,x103245,x103243,x103246,x103242,x103241))+~P1(f330(f63(x103242),x103246))+E(f330(f330(f330(f67(x103241,x103242,f83(x103241)),f330(f330(f8(f937(x103243,a925),x103241,x103242),f330(f330(f67(x103241,x103243,f83(x103241)),x103244),f80(x103241))),x103245)),f80(x103241)),x103246),f330(f330(f330(f67(x103241,x103243,f83(x103241)),x103244),f80(x103241)),f330(f330(f41(x103242,f937(x103243,a925)),x103246),x103245)))+P1(f330(f330(f332(x103242),f834(x103244,x103245,x103243,x103246,x103242,x103241)),x103246)) % 242.40/242.48 [10354]~P80(x103541)+~E(f835(x103544,x103545,x103543,x103546,x103542,x103541),f836(x103544,x103545,x103543,x103546,x103542,x103541))+~P1(f330(f63(x103542),x103546))+E(f330(f330(f330(f67(x103541,x103542,f83(x103541)),f330(f330(f8(f937(x103543,a925),x103541,x103542),f330(f330(f67(x103541,x103543,f83(x103541)),x103544),f80(x103541))),x103545)),f80(x103541)),x103546),f330(f330(f330(f67(x103541,x103543,f83(x103541)),x103544),f80(x103541)),f330(f330(f41(x103542,f937(x103543,a925)),x103546),x103545)))+~P1(f330(f63(x103543),f330(x103545,f834(x103544,x103545,x103543,x103546,x103542,x103541)))) % 242.40/242.48 [10357]~P80(x103571)+~P1(f330(f63(x103572),x103576))+E(f330(f330(f330(f67(x103571,x103572,f83(x103571)),f330(f330(f8(f937(x103573,a925),x103571,x103572),f330(f330(f67(x103571,x103573,f83(x103571)),x103574),f80(x103571))),x103575)),f80(x103571)),x103576),f330(f330(f330(f67(x103571,x103573,f83(x103571)),x103574),f80(x103571)),f330(f330(f41(x103572,f937(x103573,a925)),x103576),x103575)))+P1(f330(f330(f332(x103572),f834(x103574,x103575,x103573,x103576,x103572,x103571)),x103576))+P1(f330(f330(f332(x103572),f836(x103574,x103575,x103573,x103576,x103572,x103571)),x103576)) % 242.40/242.48 [10358]~P80(x103581)+~P1(f330(f63(x103582),x103586))+E(f330(f330(f330(f67(x103581,x103582,f83(x103581)),f330(f330(f8(f937(x103583,a925),x103581,x103582),f330(f330(f67(x103581,x103583,f83(x103581)),x103584),f80(x103581))),x103585)),f80(x103581)),x103586),f330(f330(f330(f67(x103581,x103583,f83(x103581)),x103584),f80(x103581)),f330(f330(f41(x103582,f937(x103583,a925)),x103586),x103585)))+P1(f330(f330(f332(x103582),f834(x103584,x103585,x103583,x103586,x103582,x103581)),x103586))+P1(f330(f330(f332(x103582),f835(x103584,x103585,x103583,x103586,x103582,x103581)),x103586)) % 242.40/242.48 [10378]~P80(x103781)+~P1(f330(f63(x103782),x103786))+E(f330(f330(f330(f67(x103781,x103782,f83(x103781)),f330(f330(f8(f937(x103783,a925),x103781,x103782),f330(f330(f67(x103781,x103783,f83(x103781)),x103784),f80(x103781))),x103785)),f80(x103781)),x103786),f330(f330(f330(f67(x103781,x103783,f83(x103781)),x103784),f80(x103781)),f330(f330(f41(x103782,f937(x103783,a925)),x103786),x103785)))+P1(f330(f330(f332(x103782),f836(x103784,x103785,x103783,x103786,x103782,x103781)),x103786))+~P1(f330(f63(x103783),f330(x103785,f834(x103784,x103785,x103783,x103786,x103782,x103781)))) % 242.40/242.48 [10379]~P80(x103791)+~P1(f330(f63(x103792),x103796))+E(f330(f330(f330(f67(x103791,x103792,f83(x103791)),f330(f330(f8(f937(x103793,a925),x103791,x103792),f330(f330(f67(x103791,x103793,f83(x103791)),x103794),f80(x103791))),x103795)),f80(x103791)),x103796),f330(f330(f330(f67(x103791,x103793,f83(x103791)),x103794),f80(x103791)),f330(f330(f41(x103792,f937(x103793,a925)),x103796),x103795)))+P1(f330(f330(f332(x103792),f835(x103794,x103795,x103793,x103796,x103792,x103791)),x103796))+~P1(f330(f63(x103793),f330(x103795,f834(x103794,x103795,x103793,x103796,x103792,x103791)))) % 242.40/242.48 [10390]~P80(x103901)+~E(f330(f330(f104(f937(x103903,a925)),f330(x103905,f836(x103904,x103905,x103903,x103906,x103902,x103901))),f330(x103905,f835(x103904,x103905,x103903,x103906,x103902,x103901))),f191(f937(x103903,a925)))+~P1(f330(f63(x103902),x103906))+E(f330(f330(f330(f67(x103901,x103902,f83(x103901)),f330(f330(f8(f937(x103903,a925),x103901,x103902),f330(f330(f67(x103901,x103903,f83(x103901)),x103904),f80(x103901))),x103905)),f80(x103901)),x103906),f330(f330(f330(f67(x103901,x103903,f83(x103901)),x103904),f80(x103901)),f330(f330(f41(x103902,f937(x103903,a925)),x103906),x103905)))+P1(f330(f330(f332(x103902),f834(x103904,x103905,x103903,x103906,x103902,x103901)),x103906)) % 242.40/242.48 [10401]~P80(x104011)+~E(f330(f330(f104(f937(x104013,a925)),f330(x104015,f836(x104014,x104015,x104013,x104016,x104012,x104011))),f330(x104015,f835(x104014,x104015,x104013,x104016,x104012,x104011))),f191(f937(x104013,a925)))+~P1(f330(f63(x104012),x104016))+E(f330(f330(f330(f67(x104011,x104012,f83(x104011)),f330(f330(f8(f937(x104013,a925),x104011,x104012),f330(f330(f67(x104011,x104013,f83(x104011)),x104014),f80(x104011))),x104015)),f80(x104011)),x104016),f330(f330(f330(f67(x104011,x104013,f83(x104011)),x104014),f80(x104011)),f330(f330(f41(x104012,f937(x104013,a925)),x104016),x104015)))+~P1(f330(f63(x104013),f330(x104015,f834(x104014,x104015,x104013,x104016,x104012,x104011)))) % 242.40/242.48 [9074]E(x90741,x90742)+~P63(x90744,x90745,x90746,x90743,x90747)+~E(f330(x90743,x90741),f330(x90743,x90742))+~P1(f330(f330(f332(x90745),x90742),x90747))+~P1(f330(f330(f332(x90745),x90741),x90747)) % 242.40/242.48 [10368]~P1(f330(x103682,x103684))+~E(x103685,f330(f139(x103681,x103682),x103687))+E(f330(f139(x103681,x103682),x103683),f330(f330(f154(x103681),x103684),x103685))+~E(x103683,f330(f330(f137(x103681),x103686),f330(f330(f154(x103681),x103684),x103687)))+P1(f330(x103682,f768(x103685,x103684,x103683,x103682,x103681,x103686,x103687))) % 242.40/242.48 [10369]~P1(f330(x103694,x103692))+~E(x103693,f330(f139(x103691,x103694),x103697))+E(f330(f330(f154(x103691),x103692),x103693),f330(f139(x103691,x103694),x103695))+~E(x103695,f330(f330(f137(x103691),x103696),f330(f330(f154(x103691),x103692),x103697)))+P1(f330(x103694,f767(x103695,x103694,x103693,x103692,x103691,x103696,x103697))) % 242.40/242.48 [10413]~P1(f330(x104132,x104134))+~E(x104135,f330(f139(x104131,x104132),x104137))+E(f330(f139(x104131,x104132),x104133),f330(f330(f154(x104131),x104134),x104135))+~E(x104133,f330(f330(f137(x104131),x104136),f330(f330(f154(x104131),x104134),x104137)))+P1(f330(f330(f332(x104131),f768(x104135,x104134,x104133,x104132,x104131,x104136,x104137)),f330(f175(x104131),x104136))) % 242.40/242.48 [10414]~P1(f330(x104144,x104142))+~E(x104143,f330(f139(x104141,x104144),x104147))+E(f330(f330(f154(x104141),x104142),x104143),f330(f139(x104141,x104144),x104145))+~E(x104145,f330(f330(f137(x104141),x104146),f330(f330(f154(x104141),x104142),x104147)))+P1(f330(f330(f332(x104141),f767(x104145,x104144,x104143,x104142,x104141,x104146,x104147)),f330(f175(x104141),x104146))) % 242.40/242.48 [10418]~P11(x104181,x104187,x104186)+~P14(x104181,f937(x104185,a925),x104186,x104184)+P1(f330(f330(f332(x104181),f500(x104182,x104183,x104184,x104185,x104186,x104187,x104181)),x104187))+~P1(f330(f330(f332(f937(x104181,a925)),x104183),f330(f330(f62(x104181),x104187),x104186)))+P1(f330(f330(f332(f937(x104185,a925)),f330(f330(f41(x104181,f937(x104185,a925)),x104183),x104184)),x104182)) % 242.40/242.48 [10473]~P11(x104732,x104736,x104737)+~P14(x104732,f937(x104731,a925),x104737,x104734)+~P1(f330(f330(f332(f937(x104732,a925)),x104733),f330(f330(f62(x104732),x104736),x104737)))+~P1(f330(f330(f332(f937(x104731,a925)),f330(x104734,f500(x104735,x104733,x104734,x104731,x104737,x104736,x104732))),x104735))+P1(f330(f330(f332(f937(x104731,a925)),f330(f330(f41(x104732,f937(x104731,a925)),x104733),x104734)),x104735)) % 242.40/242.48 [8649]~P80(x86492)+~P28(x86491,x86495,x86498,x86494)+~E(x86493,f330(f74(x86495,x86492,x86491,x86496),x86498))+~E(x86497,f330(f313(x86491,x86495,x86498),x86494))+E(f330(f330(f9(x86491,x86492),x86493),x86494),f330(f330(f9(x86495,x86492),x86496),x86497)) % 242.40/242.48 [10477]~P80(x104772)+~P28(x104775,x104771,x104778,x104777)+~E(f330(x104776,f464(x104773,x104776,x104774,x104777,x104778,x104771,x104775,x104772)),f330(f330(f74(x104771,x104772,x104775,x104773),x104778),f464(x104773,x104776,x104774,x104777,x104778,x104771,x104775,x104772)))+~E(x104774,f330(f313(x104775,x104771,x104778),x104777))+E(f330(f330(f9(x104771,x104772),x104773),x104774),f330(f330(f9(x104775,x104772),x104776),x104777)) % 242.40/242.48 [10480]~P74(x104802)+~P28(x104801,x104805,x104808,x104804)+~E(x104807,f330(f313(x104801,x104805,x104808),x104804))+E(f330(f330(f6(x104801,x104802),x104803),x104804),f330(f330(f6(x104805,x104802),x104806),x104807))+P1(f330(f330(f332(x104801),f736(x104806,x104803,x104807,x104804,x104808,x104805,x104801,x104802)),x104804)) % 242.40/242.48 [10481]~P80(x104812)+~P28(x104811,x104815,x104818,x104814)+~E(x104817,f330(f313(x104811,x104815,x104818),x104814))+E(f330(f330(f9(x104811,x104812),x104813),x104814),f330(f330(f9(x104815,x104812),x104816),x104817))+P1(f330(f330(f332(x104811),f464(x104816,x104813,x104817,x104814,x104818,x104815,x104811,x104812)),x104814)) % 242.40/242.48 [10487]~P74(x104872)+~P28(x104875,x104871,x104878,x104877)+~E(x104874,f330(f313(x104875,x104871,x104878),x104877))+~E(f330(x104876,f736(x104873,x104876,x104874,x104877,x104878,x104871,x104875,x104872)),f330(x104873,f330(x104878,f736(x104873,x104876,x104874,x104877,x104878,x104871,x104875,x104872))))+E(f330(f330(f6(x104871,x104872),x104873),x104874),f330(f330(f6(x104875,x104872),x104876),x104877)) % 242.40/242.48 [9963]~P26(x99636,x99632,x99635,x99637,x99638,x99631)+~P1(f330(f63(x99632),x99634))+~P1(f330(f63(x99632),x99633))+~E(f330(f330(f104(f937(x99632,a925)),x99633),x99634),f191(f937(x99632,a925)))+E(f330(x99631,f330(f330(f113(f937(x99632,a925)),x99633),x99634)),f330(f330(x99635,f330(x99631,x99633)),f330(x99631,x99634))) % 242.40/242.48 [10351]~P26(x103518,x103512,x103515,x103517,x103516,x103511)+~E(f330(x103516,f357(x103514,x103513,x103511,x103516,x103517,x103515,x103512)),x103517)+~P1(f330(f63(x103512),x103513))+~P1(f330(f63(x103512),x103514))+E(f330(x103511,f330(f330(f113(f937(x103512,a925)),x103513),x103514)),f330(f330(x103515,f330(x103511,x103513)),f330(x103511,x103514))) % 242.40/242.48 [10425]~P26(x104258,x104252,x104255,x104257,x104256,x104251)+~P1(f330(f63(x104252),x104253))+~P1(f330(f63(x104252),x104254))+E(f330(x104251,f330(f330(f113(f937(x104252,a925)),x104253),x104254)),f330(f330(x104255,f330(x104251,x104253)),f330(x104251,x104254)))+P1(f330(f330(f332(x104252),f357(x104254,x104253,x104251,x104256,x104257,x104255,x104252)),f330(f330(f104(f937(x104252,a925)),x104253),x104254))) % 242.40/242.48 [10117]~P11(x101174,x101178,x101175)+~P11(x101171,x101179,x101173)+~P15(x101171,x101174,f937(x101172,a925),x101173,x101175,x101177)+P14(x101171,f937(x101172,a925),x101173,f330(f330(f8(f937(x101174,f937(x101172,a925)),f937(x101172,a925),x101171),f330(f41(x101174,f937(x101172,a925)),f330(f289(x101174,x101174,x101175),f330(f330(f312(x101174),x101176),f191(f937(x101174,a925)))))),x101177))+~P1(f330(f330(f332(x101174),x101176),x101178)) % 242.40/242.48 [5654]~P112(x56543)+~P16(x56543,x56541)+E(x56541,f757(x56542,x56543))+~E(f330(f175(x56543),x56541),x56542)+~P1(f330(f63(x56543),x56542))+~P1(f330(f140(x56543),x56541)) % 242.40/242.48 [7475]P18(x74751,x74752)+~E(f330(x74752,f830(x74752)),f330(x74752,f831(x74752)))+~P1(f330(f330(x74752,f830(x74752)),f830(x74752)))+~P1(f330(f330(x74752,f830(x74752)),f831(x74752)))+~P1(f330(f330(x74752,f831(x74752)),f831(x74752)))+~P1(f330(f330(x74752,x74753),x74753)) % 242.40/242.48 [5280]~P141(x52802)+~P130(x52802)+~P135(x52802)+~P117(x52802)+E(x52801,f2(x52802))+~E(f330(f330(f248(x52802),x52801),x52803),f2(x52802)) % 242.40/242.48 [5281]~P141(x52812)+~P130(x52812)+~P135(x52812)+~P117(x52812)+~E(x52811,f2(a930))+~E(f330(f330(f248(x52812),x52813),x52811),f2(x52812)) % 242.40/242.48 [6727]~P89(x67271)+~E(x67273,f2(x67271))+~E(x67272,f2(x67271))+E(f330(f330(f82(x67271),x67272),x67273),f2(x67271))+~P1(f330(f330(f239(x67271),f2(x67271)),x67273))+~P1(f330(f330(f239(x67271),f2(x67271)),x67272)) % 242.40/242.48 [9142]~E(f330(f255(a930,a930),x91423),f2(a930))+~E(x91421,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x91423)),x91422)),f330(f260(a930,a930),x91423)))+P1(f330(f50(x91421,x91422),x91423))+~P1(f330(f330(f239(a930),f330(f260(a930,a930),x91423)),f2(a930)))+P1(f330(f330(f240(a930),f2(a930)),x91422))+~P1(f330(f330(f240(a930),x91422),f330(f260(a930,a930),x91423))) % 242.40/242.48 [9150]E(x91501,f2(a930))+~E(x91502,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x91503)),x91501)),f330(f260(a930,a930),x91503)))+P1(f330(f50(x91502,x91501),x91503))+~P1(f330(f330(f240(a930),f2(a930)),x91501))+~P1(f330(f330(f239(a930),f2(a930)),f330(f260(a930,a930),x91503)))+~P1(f330(f330(f240(a930),f330(f260(a930,a930),x91503)),x91501)) % 242.40/242.48 [9169]~E(f330(f255(a930,a930),x91693),f2(a930))+~E(x91691,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x91693)),x91692)),f330(f260(a930,a930),x91693)))+P1(f330(f50(x91691,x91692),x91693))+~P1(f330(f330(f240(a930),f2(a930)),x91692))+~P1(f330(f330(f239(a930),f2(a930)),f330(f260(a930,a930),x91693)))+~P1(f330(f330(f240(a930),f330(f260(a930,a930),x91693)),x91692)) % 242.40/242.48 [7105]~P2(x71052)+E(x71051,f191(f937(x71052,a925)))+E(x71053,f191(f937(x71052,a925)))+~P1(f330(f63(x71052),x71051))+~P1(f330(f63(x71052),x71053))+E(f10(x71052,f330(f330(f113(f937(x71052,a925)),x71053),x71051)),f330(f330(f104(x71052),f10(x71052,x71053)),f10(x71052,x71051))) % 242.40/242.49 [7106]~P2(x71062)+E(x71061,f191(f937(x71062,a925)))+E(x71063,f191(f937(x71062,a925)))+~P1(f330(f63(x71062),x71061))+~P1(f330(f63(x71062),x71063))+E(f13(x71062,f330(f330(f113(f937(x71062,a925)),x71063),x71061)),f330(f330(f113(x71062),f13(x71062,x71063)),f13(x71062,x71061))) % 242.40/242.49 [7107]~P112(x71072)+E(x71071,f191(f937(x71072,a925)))+E(x71073,f191(f937(x71072,a925)))+~P1(f330(f63(x71072),x71071))+~P1(f330(f63(x71072),x71073))+E(f14(x71072,f330(f330(f113(f937(x71072,a925)),x71073),x71071)),f330(f330(f238(x71072),f14(x71072,x71073)),f14(x71072,x71071))) % 242.40/242.49 [7108]~P112(x71082)+E(x71081,f191(f937(x71082,a925)))+E(x71083,f191(f937(x71082,a925)))+~P1(f330(f63(x71082),x71081))+~P1(f330(f63(x71082),x71083))+E(f15(x71082,f330(f330(f113(f937(x71082,a925)),x71083),x71081)),f330(f330(f237(x71082),f15(x71082,x71083)),f15(x71082,x71081))) % 242.40/242.49 [7756]~P100(x77562)+E(x77561,f191(f937(x77562,a925)))+E(x77563,f191(f937(x77562,a925)))+~P1(f330(f63(x77562),x77561))+~P1(f330(f63(x77562),x77563))+E(f330(f330(f83(x77562),f330(f65(x77562,f83(x77562)),x77563)),f330(f65(x77562,f83(x77562)),x77561)),f330(f65(x77562,f83(x77562)),f330(f330(f113(f937(x77562,a925)),x77563),x77561))) % 242.40/242.49 [7913]~P112(x79132)+E(x79131,f191(f937(x79132,a925)))+E(x79133,f191(f937(x79132,a925)))+~P1(f330(f63(x79132),x79131))+~P1(f330(f63(x79132),x79133))+E(f330(f330(f238(x79132),f11(x79132,f238(x79132),x79133)),f11(x79132,f238(x79132),x79131)),f11(x79132,f238(x79132),f330(f330(f113(f937(x79132,a925)),x79133),x79131))) % 242.40/242.49 [7914]~P112(x79142)+E(x79141,f191(f937(x79142,a925)))+E(x79143,f191(f937(x79142,a925)))+~P1(f330(f63(x79142),x79141))+~P1(f330(f63(x79142),x79143))+E(f330(f330(f237(x79142),f12(x79142,f237(x79142),x79143)),f12(x79142,f237(x79142),x79141)),f12(x79142,f237(x79142),f330(f330(f113(f937(x79142,a925)),x79143),x79141))) % 242.40/242.49 [8975]~P1(f330(x89751,x89753))+P1(f330(x89751,f403(x89751,x89752)))+P1(f330(x89751,f389(x89751,x89752)))+~P1(f330(f330(f240(a1),f2(a1)),x89752))+~P1(f330(f330(f332(a1),x89753),f306(a1,f80(a1),x89752)))+P1(f330(x89751,f330(f330(f23(a1),f389(x89751,x89752)),f330(f330(f83(a1),f400(x89751,x89752)),x89752)))) % 242.40/242.49 [9284]~P1(f330(x92841,x92843))+~P1(f330(x92841,f389(x92841,x92842)))+P1(f330(x92841,f403(x92841,x92842)))+~P1(f330(f330(f240(a1),f2(a1)),x92842))+~P1(f330(f330(f332(a1),x92843),f306(a1,f80(a1),x92842)))+~P1(f330(x92841,f330(f330(f23(a1),f389(x92841,x92842)),f330(f330(f83(a1),f400(x92841,x92842)),x92842)))) % 242.40/242.49 [10515]~P103(x105152)+E(x105151,f191(f937(x105152,a925)))+E(x105153,f191(f937(x105152,a925)))+~P1(f330(f63(x105152),x105151))+~P1(f330(f63(x105152),x105153))+E(f10(x105152,f330(f266(x105152),f330(f330(f8(f937(x105152,a925),a925,x105152),f89(x105152)),f330(f330(f8(f937(x105152,f937(x105152,a925)),f937(x105152,a925),x105152),f330(f8(f937(x105152,a925),a925,x105152),f89(x105152))),f330(f330(f7(x105152,f937(x105152,f937(x105152,a925)),f937(x105152,f937(x105152,a925))),f330(f330(f8(f937(x105152,f937(f937(x105152,a925),f937(x105152,a925))),f937(f937(x105152,f937(x105152,a925)),f937(x105152,f937(x105152,a925))),x105152),f18(x105152,f937(x105152,a925),f937(x105152,a925))),f330(f330(f8(f937(x105152,f937(x105152,f937(a925,a925))),f937(x105152,f937(f937(x105152,a925),f937(x105152,a925))),x105152),f330(f8(f937(x105152,f937(a925,a925)),f937(f937(x105152,a925),f937(x105152,a925)),x105152),f18(x105152,a925,a925))),f330(f330(f8(f937(x105152,f937(x105152,a925)),f937(x105152,f937(x105152,f937(a925,a925))),x105152),f330(f8(f937(x105152,a925),f937(x105152,f937(a925,a925)),x105152),f330(f8(a925,f937(a925,a925),x105152),a328))),f330(f330(f7(x105152,f937(x105152,f937(x105152,x105152)),f937(x105152,f937(x105152,a925))),f330(f330(f8(f937(f937(x105152,x105152),f937(x105152,a925)),f937(f937(x105152,f937(x105152,x105152)),f937(x105152,f937(x105152,a925))),x105152),f8(f937(x105152,x105152),f937(x105152,a925),x105152)),f330(f330(f8(f937(x105152,a925),f937(f937(x105152,x105152),f937(x105152,a925)),x105152),f8(x105152,a925,x105152)),a327))),f113(x105152)))))),f330(f330(f7(x105152,f937(x105152,a925),f937(x105152,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x105152,a925),f937(x105152,a925)),x105152),f8(a925,a925,x105152)),f330(f330(f8(a925,f937(a925,a925),x105152),a328),f330(f330(f7(x105152,f937(x105152,a925),a925),f332(x105152)),x105153)))),f330(f330(f7(x105152,f937(x105152,a925),a925),f332(x105152)),x105151))))))),f330(f330(f113(x105152),f10(x105152,x105153)),f10(x105152,x105151))) % 242.40/242.49 [10516]~P103(x105162)+E(x105161,f191(f937(x105162,a925)))+E(x105163,f191(f937(x105162,a925)))+~P1(f330(f63(x105162),x105161))+~P1(f330(f63(x105162),x105163))+E(f13(x105162,f330(f266(x105162),f330(f330(f8(f937(x105162,a925),a925,x105162),f89(x105162)),f330(f330(f8(f937(x105162,f937(x105162,a925)),f937(x105162,a925),x105162),f330(f8(f937(x105162,a925),a925,x105162),f89(x105162))),f330(f330(f7(x105162,f937(x105162,f937(x105162,a925)),f937(x105162,f937(x105162,a925))),f330(f330(f8(f937(x105162,f937(f937(x105162,a925),f937(x105162,a925))),f937(f937(x105162,f937(x105162,a925)),f937(x105162,f937(x105162,a925))),x105162),f18(x105162,f937(x105162,a925),f937(x105162,a925))),f330(f330(f8(f937(x105162,f937(x105162,f937(a925,a925))),f937(x105162,f937(f937(x105162,a925),f937(x105162,a925))),x105162),f330(f8(f937(x105162,f937(a925,a925)),f937(f937(x105162,a925),f937(x105162,a925)),x105162),f18(x105162,a925,a925))),f330(f330(f8(f937(x105162,f937(x105162,a925)),f937(x105162,f937(x105162,f937(a925,a925))),x105162),f330(f8(f937(x105162,a925),f937(x105162,f937(a925,a925)),x105162),f330(f8(a925,f937(a925,a925),x105162),a328))),f330(f330(f7(x105162,f937(x105162,f937(x105162,x105162)),f937(x105162,f937(x105162,a925))),f330(f330(f8(f937(f937(x105162,x105162),f937(x105162,a925)),f937(f937(x105162,f937(x105162,x105162)),f937(x105162,f937(x105162,a925))),x105162),f8(f937(x105162,x105162),f937(x105162,a925),x105162)),f330(f330(f8(f937(x105162,a925),f937(f937(x105162,x105162),f937(x105162,a925)),x105162),f8(x105162,a925,x105162)),a327))),f104(x105162)))))),f330(f330(f7(x105162,f937(x105162,a925),f937(x105162,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x105162,a925),f937(x105162,a925)),x105162),f8(a925,a925,x105162)),f330(f330(f8(a925,f937(a925,a925),x105162),a328),f330(f330(f7(x105162,f937(x105162,a925),a925),f332(x105162)),x105163)))),f330(f330(f7(x105162,f937(x105162,a925),a925),f332(x105162)),x105161))))))),f330(f330(f104(x105162),f13(x105162,x105163)),f13(x105162,x105161))) % 242.40/242.49 [10517]~P112(x105172)+E(x105171,f191(f937(x105172,a925)))+E(x105173,f191(f937(x105172,a925)))+~P1(f330(f63(x105172),x105171))+~P1(f330(f63(x105172),x105173))+E(f11(x105172,f238(x105172),f330(f266(x105172),f330(f330(f8(f937(x105172,a925),a925,x105172),f89(x105172)),f330(f330(f8(f937(x105172,f937(x105172,a925)),f937(x105172,a925),x105172),f330(f8(f937(x105172,a925),a925,x105172),f89(x105172))),f330(f330(f7(x105172,f937(x105172,f937(x105172,a925)),f937(x105172,f937(x105172,a925))),f330(f330(f8(f937(x105172,f937(f937(x105172,a925),f937(x105172,a925))),f937(f937(x105172,f937(x105172,a925)),f937(x105172,f937(x105172,a925))),x105172),f18(x105172,f937(x105172,a925),f937(x105172,a925))),f330(f330(f8(f937(x105172,f937(x105172,f937(a925,a925))),f937(x105172,f937(f937(x105172,a925),f937(x105172,a925))),x105172),f330(f8(f937(x105172,f937(a925,a925)),f937(f937(x105172,a925),f937(x105172,a925)),x105172),f18(x105172,a925,a925))),f330(f330(f8(f937(x105172,f937(x105172,a925)),f937(x105172,f937(x105172,f937(a925,a925))),x105172),f330(f8(f937(x105172,a925),f937(x105172,f937(a925,a925)),x105172),f330(f8(a925,f937(a925,a925),x105172),a328))),f330(f330(f7(x105172,f937(x105172,f937(x105172,x105172)),f937(x105172,f937(x105172,a925))),f330(f330(f8(f937(f937(x105172,x105172),f937(x105172,a925)),f937(f937(x105172,f937(x105172,x105172)),f937(x105172,f937(x105172,a925))),x105172),f8(f937(x105172,x105172),f937(x105172,a925),x105172)),f330(f330(f8(f937(x105172,a925),f937(f937(x105172,x105172),f937(x105172,a925)),x105172),f8(x105172,a925,x105172)),a327))),f237(x105172)))))),f330(f330(f7(x105172,f937(x105172,a925),f937(x105172,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x105172,a925),f937(x105172,a925)),x105172),f8(a925,a925,x105172)),f330(f330(f8(a925,f937(a925,a925),x105172),a328),f330(f330(f7(x105172,f937(x105172,a925),a925),f332(x105172)),x105173)))),f330(f330(f7(x105172,f937(x105172,a925),a925),f332(x105172)),x105171))))))),f330(f330(f237(x105172),f11(x105172,f238(x105172),x105173)),f11(x105172,f238(x105172),x105171))) % 242.40/242.49 [10518]~P112(x105182)+E(x105181,f191(f937(x105182,a925)))+E(x105183,f191(f937(x105182,a925)))+~P1(f330(f63(x105182),x105181))+~P1(f330(f63(x105182),x105183))+E(f12(x105182,f237(x105182),f330(f266(x105182),f330(f330(f8(f937(x105182,a925),a925,x105182),f89(x105182)),f330(f330(f8(f937(x105182,f937(x105182,a925)),f937(x105182,a925),x105182),f330(f8(f937(x105182,a925),a925,x105182),f89(x105182))),f330(f330(f7(x105182,f937(x105182,f937(x105182,a925)),f937(x105182,f937(x105182,a925))),f330(f330(f8(f937(x105182,f937(f937(x105182,a925),f937(x105182,a925))),f937(f937(x105182,f937(x105182,a925)),f937(x105182,f937(x105182,a925))),x105182),f18(x105182,f937(x105182,a925),f937(x105182,a925))),f330(f330(f8(f937(x105182,f937(x105182,f937(a925,a925))),f937(x105182,f937(f937(x105182,a925),f937(x105182,a925))),x105182),f330(f8(f937(x105182,f937(a925,a925)),f937(f937(x105182,a925),f937(x105182,a925)),x105182),f18(x105182,a925,a925))),f330(f330(f8(f937(x105182,f937(x105182,a925)),f937(x105182,f937(x105182,f937(a925,a925))),x105182),f330(f8(f937(x105182,a925),f937(x105182,f937(a925,a925)),x105182),f330(f8(a925,f937(a925,a925),x105182),a328))),f330(f330(f7(x105182,f937(x105182,f937(x105182,x105182)),f937(x105182,f937(x105182,a925))),f330(f330(f8(f937(f937(x105182,x105182),f937(x105182,a925)),f937(f937(x105182,f937(x105182,x105182)),f937(x105182,f937(x105182,a925))),x105182),f8(f937(x105182,x105182),f937(x105182,a925),x105182)),f330(f330(f8(f937(x105182,a925),f937(f937(x105182,x105182),f937(x105182,a925)),x105182),f8(x105182,a925,x105182)),a327))),f238(x105182)))))),f330(f330(f7(x105182,f937(x105182,a925),f937(x105182,a925)),f330(f330(f8(f937(a925,a925),f937(f937(x105182,a925),f937(x105182,a925)),x105182),f8(a925,a925,x105182)),f330(f330(f8(a925,f937(a925,a925),x105182),a328),f330(f330(f7(x105182,f937(x105182,a925),a925),f332(x105182)),x105183)))),f330(f330(f7(x105182,f937(x105182,a925),a925),f332(x105182)),x105181))))))),f330(f330(f238(x105182),f12(x105182,f237(x105182),x105183)),f12(x105182,f237(x105182),x105181))) % 242.40/242.49 [7431]~P127(x74313)+E(x74311,x74312)+~E(f330(f330(f248(x74313),x74311),x74314),f330(f330(f248(x74313),x74312),x74314))+~P1(f330(f330(f239(x74313),f2(x74313)),x74312))+~P1(f330(f330(f239(x74313),f2(x74313)),x74311))+~P1(f330(f330(f240(a930),f2(a930)),x74314)) % 242.40/242.49 [7716]~P112(x77162)+E(x77161,f191(f937(x77162,a925)))+~P1(f330(f63(x77162),x77161))+~P1(f330(f330(f332(x77162),x77164),x77161))+P1(f330(f330(f239(x77162),x77163),x77164))+~P1(f330(f330(f239(x77162),x77163),f330(f65(x77162,f237(x77162)),x77161))) % 242.40/242.49 [7717]~P106(x77172)+E(x77171,f191(f937(x77172,a925)))+~P1(f330(f63(x77172),x77171))+~P1(f330(f330(f332(x77172),x77174),x77171))+P1(f330(f330(f239(x77172),x77173),x77174))+~P1(f330(f330(f239(x77172),x77173),f330(f65(x77172,f104(x77172)),x77171))) % 242.40/242.49 [7718]~P112(x77182)+E(x77181,f191(f937(x77182,a925)))+~P1(f330(f63(x77182),x77181))+~P1(f330(f330(f332(x77182),x77184),x77181))+P1(f330(f330(f240(x77182),x77183),x77184))+~P1(f330(f330(f240(x77182),x77183),f330(f65(x77182,f237(x77182)),x77181))) % 242.40/242.49 [7616]E(x76161,f2(a1))+E(f330(f330(f38(a1),x76162),x76161),x76163)+~P1(f330(f330(f239(a1),x76164),f2(a1)))+~E(x76162,f330(f330(f82(a1),f330(f330(f83(a1),x76161),x76163)),x76164))+P1(f330(f330(f240(a1),f2(a1)),x76161))+~P1(f330(f330(f240(a1),x76161),x76164)) % 242.40/242.49 [7631]E(f47(a1,x76312,x76311),x76313)+E(x76311,f2(a1))+~P1(f330(f330(f239(a1),x76313),f2(a1)))+~E(x76312,f330(f330(f82(a1),f330(f330(f83(a1),x76311),x76314)),x76313))+P1(f330(f330(f240(a1),f2(a1)),x76311))+~P1(f330(f330(f240(a1),x76311),x76313)) % 242.40/242.49 [7755]E(x77551,f2(a1))+E(f330(f330(f38(a1),x77552),x77551),x77553)+~E(x77552,f330(f330(f82(a1),f330(f330(f83(a1),x77551),x77553)),x77554))+~P1(f330(f330(f239(a1),f2(a1)),x77554))+~P1(f330(f330(f240(a1),f2(a1)),x77551))+~P1(f330(f330(f240(a1),x77554),x77551)) % 242.40/242.49 [7775]E(f47(a1,x77752,x77751),x77753)+E(x77751,f2(a1))+~E(x77752,f330(f330(f82(a1),f330(f330(f83(a1),x77751),x77754)),x77753))+~P1(f330(f330(f239(a1),f2(a1)),x77753))+~P1(f330(f330(f240(a1),f2(a1)),x77751))+~P1(f330(f330(f240(a1),x77753),x77751)) % 242.40/242.49 [7917]~P112(x79172)+E(x79171,f191(f937(x79172,a925)))+~P1(f330(f63(x79172),x79171))+~P1(f330(f330(f239(x79172),x79174),x79173))+~P1(f330(f330(f332(x79172),x79174),x79171))+P1(f330(f330(f239(x79172),f330(f65(x79172,f237(x79172)),x79171)),x79173)) % 242.40/242.49 [7918]~P112(x79182)+E(x79181,f191(f937(x79182,a925)))+~P1(f330(f63(x79182),x79181))+~P1(f330(f330(f240(x79182),x79184),x79183))+~P1(f330(f330(f332(x79182),x79184),x79181))+P1(f330(f330(f240(x79182),f330(f65(x79182,f237(x79182)),x79181)),x79183)) % 242.40/242.49 [8497]~P1(f330(f330(f239(a1),x84974),f2(a1)))+~E(x84971,f330(f330(f82(a1),f330(f330(f83(a1),x84972),x84973)),x84974))+~P1(f330(f330(f239(a1),f2(a1)),x84974))+~P1(f330(f330(f240(a1),x84974),x84972))+~P1(f330(f330(f240(a1),x84972),x84974))+P1(f330(f51(x84971,x84972),f330(f330(f256(a1,a1),x84973),x84974))) % 242.40/242.49 [8670]~P113(x86701)+P1(f330(f330(f240(f937(x86701,a925)),f306(x86701,x86702,x86703)),f306(x86701,x86704,x86705)))+~P1(f330(f330(f239(x86701),x86704),x86702))+~P1(f330(f330(f239(x86701),x86704),x86705))+~P1(f330(f330(f239(x86701),x86703),x86705))+~P1(f330(f330(f240(x86701),x86703),x86705)) % 242.40/242.49 [8671]~P113(x86711)+P1(f330(f330(f240(f937(x86711,a925)),f306(x86711,x86712,x86713)),f306(x86711,x86714,x86715)))+~P1(f330(f330(f239(x86711),x86713),x86715))+~P1(f330(f330(f239(x86711),x86714),x86715))+~P1(f330(f330(f239(x86711),x86714),x86712))+~P1(f330(f330(f240(x86711),x86714),x86712)) % 242.40/242.49 [9550]P65(x95502,x95503,x95504,x95501)+E(x95501,f191(f937(x95502,a925)))+~P1(f330(f63(x95502),x95504))+~P1(f330(f63(x95502),x95501))+~P1(f330(f330(x95503,f539(x95501,x95504,x95503,x95502)),x95505))+~P1(f330(f330(f332(x95502),x95505),x95501)) % 242.40/242.49 [9551]P65(x95512,x95513,x95514,x95511)+E(x95511,f191(f937(x95512,a925)))+~P1(f330(f63(x95512),x95514))+~P1(f330(f63(x95512),x95511))+~P1(f330(f330(x95513,f821(x95513,x95511,x95514,x95512)),x95515))+~P1(f330(f330(f332(x95512),x95515),x95511)) % 242.40/242.49 [9552]P65(x95522,x95523,x95524,x95521)+E(x95521,f191(f937(x95522,a925)))+~P1(f330(f63(x95522),x95524))+~P1(f330(f63(x95522),x95521))+~P1(f330(f330(x95523,f822(x95521,x95524,x95523,x95522)),x95525))+~P1(f330(f330(f332(x95522),x95525),x95521)) % 242.40/242.49 [9699]~E(x96993,x96995)+~P74(x96991)+~P80(x96991)+~P45(x96993)+E(f330(f330(f6(a1,x96991),x96992),x96993),f330(f330(f6(a1,x96991),x96994),x96995))+P1(f330(f330(f239(a1),f2(a1)),f430(x96992,x96994,x96993,x96995,x96991))) % 242.40/242.49 [9700]~E(x97003,x97005)+~P74(x97001)+~P80(x97001)+~P45(x97003)+E(f330(f330(f9(a1,x97001),x97002),x97003),f330(f330(f9(a1,x97001),x97004),x97005))+P1(f330(f330(f239(a1),f2(a1)),f471(x97002,x97004,x97003,x97005,x97001))) % 242.40/242.49 [9873]~E(x98735,x98733)+~P74(x98731)+~P80(x98731)+~P45(x98735)+~E(f330(x98732,f430(x98734,x98732,x98735,x98733,x98731)),f330(x98734,f430(x98734,x98732,x98735,x98733,x98731)))+E(f330(f330(f6(a1,x98731),x98732),x98733),f330(f330(f6(a1,x98731),x98734),x98735)) % 242.40/242.49 [9874]~E(x98745,x98743)+~P74(x98741)+~P80(x98741)+~P45(x98745)+~E(f330(x98742,f471(x98744,x98742,x98745,x98743,x98741)),f330(x98744,f471(x98744,x98742,x98745,x98743,x98741)))+E(f330(f330(f9(a1,x98741),x98742),x98743),f330(f330(f9(a1,x98741),x98744),x98745)) % 242.40/242.49 [9961]~P83(x99613)+E(f330(x99611,x99612),f2(x99613))+~E(f330(f330(f6(x99614,x99613),x99611),x99615),f2(x99613))+~P1(f330(f63(x99614),x99615))+P1(f330(f330(f332(x99614),f890(x99612,x99611,x99615,x99614,x99613)),x99615))+~P1(f330(f330(f332(x99614),x99612),x99615)) % 242.40/242.49 [10088]~P83(x100883)+E(f330(x100881,x100882),f2(x100883))+~E(f330(f330(f6(x100884,x100883),x100881),x100885),f2(x100883))+~P1(f330(f63(x100884),x100885))+~P1(f330(f330(f332(x100884),x100882),x100885))+~P1(f330(f330(f239(x100883),f2(x100883)),f330(x100881,f890(x100882,x100881,x100885,x100884,x100883)))) % 242.40/242.49 [8585]~P139(x85851)+~P1(f330(f330(f239(x85851),x85853),x85855))+~P1(f330(f330(f239(x85851),x85852),x85854))+~P1(f330(f330(f239(x85851),f2(x85851)),x85853))+~P1(f330(f330(f239(x85851),f2(x85851)),x85854))+P1(f330(f330(f239(x85851),f330(f330(f83(x85851),x85852),x85853)),f330(f330(f83(x85851),x85854),x85855))) % 242.40/242.49 [8586]~P139(x85861)+~P1(f330(f330(f239(x85861),x85863),x85865))+~P1(f330(f330(f239(x85861),x85862),x85864))+~P1(f330(f330(f239(x85861),f2(x85861)),x85863))+~P1(f330(f330(f239(x85861),f2(x85861)),x85862))+P1(f330(f330(f239(x85861),f330(f330(f83(x85861),x85862),x85863)),f330(f330(f83(x85861),x85864),x85865))) % 242.40/242.49 [8587]~P73(x85871)+~P1(f330(f330(f240(x85871),f2(x85871)),x85875))+~P1(f330(f330(f239(x85871),x85875),x85873))+~P1(f330(f330(f239(x85871),x85872),x85874))+~P1(f330(f330(f239(x85871),f2(x85871)),x85872))+P1(f330(f330(f239(x85871),f330(f330(f293(x85871),x85872),x85873)),f330(f330(f293(x85871),x85874),x85875))) % 242.40/242.49 [8588]~P131(x85881)+~P1(f330(f330(f239(x85881),x85883),x85885))+~P1(f330(f330(f239(x85881),f2(x85881)),x85882))+~P1(f330(f330(f240(x85881),x85882),x85884))+~P1(f330(f330(f240(x85881),f2(x85881)),x85883))+P1(f330(f330(f240(x85881),f330(f330(f83(x85881),x85882),x85883)),f330(f330(f83(x85881),x85884),x85885))) % 242.40/242.49 [8589]~P131(x85891)+~P1(f330(f330(f239(x85891),x85892),x85894))+~P1(f330(f330(f239(x85891),f2(x85891)),x85893))+~P1(f330(f330(f240(x85891),x85893),x85895))+~P1(f330(f330(f240(x85891),f2(x85891)),x85892))+P1(f330(f330(f240(x85891),f330(f330(f83(x85891),x85892),x85893)),f330(f330(f83(x85891),x85894),x85895))) % 242.40/242.49 [8590]~P131(x85901)+~P1(f330(f330(f239(x85901),f2(x85901)),x85903))+~P1(f330(f330(f239(x85901),f2(x85901)),x85902))+~P1(f330(f330(f240(x85901),x85903),x85905))+~P1(f330(f330(f240(x85901),x85902),x85904))+P1(f330(f330(f240(x85901),f330(f330(f83(x85901),x85902),x85903)),f330(f330(f83(x85901),x85904),x85905))) % 242.40/242.49 [8591]~P131(x85911)+~P1(f330(f330(f239(x85911),f2(x85911)),x85913))+~P1(f330(f330(f240(x85911),x85913),x85915))+~P1(f330(f330(f240(x85911),x85912),x85914))+~P1(f330(f330(f240(x85911),f2(x85911)),x85914))+P1(f330(f330(f240(x85911),f330(f330(f83(x85911),x85912),x85913)),f330(f330(f83(x85911),x85914),x85915))) % 242.40/242.49 [8592]~P73(x85921)+~P1(f330(f330(f239(x85921),x85925),x85923))+~P1(f330(f330(f239(x85921),f2(x85921)),x85922))+~P1(f330(f330(f240(x85921),x85922),x85924))+~P1(f330(f330(f240(x85921),f2(x85921)),x85925))+P1(f330(f330(f240(x85921),f330(f330(f293(x85921),x85922),x85923)),f330(f330(f293(x85921),x85924),x85925))) % 242.40/242.49 [8593]~P73(x85931)+~P1(f330(f330(f239(x85931),x85932),x85934))+~P1(f330(f330(f240(x85931),x85935),x85933))+~P1(f330(f330(f240(x85931),f2(x85931)),x85935))+~P1(f330(f330(f240(x85931),f2(x85931)),x85932))+P1(f330(f330(f240(x85931),f330(f330(f293(x85931),x85932),x85933)),f330(f330(f293(x85931),x85934),x85935))) % 242.40/242.49 [10004]~P74(x100045)+~P92(x100045)+E(x100041,f191(f937(x100042,a925)))+~P1(f330(f63(x100042),x100041))+P1(f330(f330(f332(x100042),f907(x100043,x100044,x100041,x100042,x100045)),x100041))+P1(f330(f330(f240(x100045),f330(f330(f6(x100042,x100045),x100044),x100041)),f330(f330(f6(x100042,x100045),x100043),x100041))) % 242.40/242.49 [10113]~P74(x101131)+~P90(x101131)+~P1(f330(f63(x101132),x101135))+~P1(f330(f330(f239(x101131),f2(x101131)),f330(x101133,f854(x101133,x101134,x101135,x101132,x101131))))+P1(f330(f330(f239(x101131),f330(f330(f6(x101132,x101131),x101133),x101134)),f330(f330(f6(x101132,x101131),x101133),x101135)))+~P1(f330(f330(f239(f937(x101132,a925)),x101134),x101135)) % 242.40/242.49 [10272]~P74(x102723)+~P92(x102723)+E(x102721,f191(f937(x102722,a925)))+~P1(f330(f63(x102722),x102721))+~P1(f330(f330(f240(x102723),f330(x102724,f907(x102725,x102724,x102721,x102722,x102723))),f330(x102725,f907(x102725,x102724,x102721,x102722,x102723))))+P1(f330(f330(f240(x102723),f330(f330(f6(x102722,x102723),x102724),x102721)),f330(f330(f6(x102722,x102723),x102725),x102721))) % 242.40/242.49 [7288]~P20(x72882,x72885,x72884)+E(x72881,f191(f937(x72882,a925)))+E(x72883,f191(f937(x72882,a925)))+~P1(f330(f63(x72882),x72881))+~P1(f330(f63(x72882),x72883))+E(f330(x72884,f330(f330(f113(f937(x72882,a925)),x72883),x72881)),f330(f330(x72885,f330(x72884,x72883)),f330(x72884,x72881))) % 242.40/242.49 [7884]~P150(x78841,x78843,x78844)+P1(f330(x78841,x78842))+~P1(f330(f330(f240(a1),x78844),f2(a1)))+~P1(f330(f330(f239(a1),x78845),f2(a1)))+~E(x78843,f330(f330(f82(a1),f330(f330(f83(a1),x78844),x78842)),x78845))+~P1(f330(f330(f240(a1),x78844),x78845)) % 242.40/242.49 [7885]~P149(x78851,x78853,x78854)+P1(f330(x78851,x78852))+~P1(f330(f330(f240(a1),x78854),f2(a1)))+~P1(f330(f330(f239(a1),x78852),f2(a1)))+~E(x78853,f330(f330(f82(a1),f330(f330(f83(a1),x78854),x78855)),x78852))+~P1(f330(f330(f240(a1),x78854),x78852)) % 242.40/242.49 [7926]~P150(x79261,x79263,x79264)+P1(f330(x79261,x79262))+~E(x79263,f330(f330(f82(a1),f330(f330(f83(a1),x79264),x79262)),x79265))+~P1(f330(f330(f239(a1),f2(a1)),x79265))+~P1(f330(f330(f240(a1),f2(a1)),x79264))+~P1(f330(f330(f240(a1),x79265),x79264)) % 242.40/242.49 [7927]~P149(x79271,x79273,x79274)+P1(f330(x79271,x79272))+~E(x79273,f330(f330(f82(a1),f330(f330(f83(a1),x79274),x79275)),x79272))+~P1(f330(f330(f239(a1),f2(a1)),x79272))+~P1(f330(f330(f240(a1),f2(a1)),x79274))+~P1(f330(f330(f240(a1),x79272),x79274)) % 242.40/242.49 [8888]P1(f330(f330(x88881,x88882),x88883))+~P1(f330(f330(x88881,f330(f330(f38(a1),x88884),x88885)),f47(a1,x88884,x88885)))+~P1(f330(f330(f240(a1),x88885),f2(a1)))+~P1(f330(f330(f239(a1),x88883),f2(a1)))+~E(x88884,f330(f330(f82(a1),f330(f330(f83(a1),x88885),x88882)),x88883))+~P1(f330(f330(f240(a1),x88885),x88883)) % 242.40/242.49 [8897]P1(f330(f330(x88971,x88972),x88973))+~P1(f330(f330(x88971,f330(f330(f38(a1),x88974),x88975)),f47(a1,x88974,x88975)))+~E(x88974,f330(f330(f82(a1),f330(f330(f83(a1),x88975),x88972)),x88973))+~P1(f330(f330(f239(a1),f2(a1)),x88973))+~P1(f330(f330(f240(a1),f2(a1)),x88975))+~P1(f330(f330(f240(a1),x88973),x88975)) % 242.40/242.49 [9158]E(x91581,x91582)+~P62(x91583,x91585,x91584)+~P1(f330(f330(f332(x91583),x91582),x91585))+~P1(f330(f330(f332(x91583),x91581),x91585))+P1(f330(f330(f332(f936(x91583,x91583)),f330(f330(f256(x91583,x91583),x91581),x91582)),x91584))+P1(f330(f330(f332(f936(x91583,x91583)),f330(f330(f256(x91583,x91583),x91582),x91581)),x91584)) % 242.40/242.49 [10031]~P74(x100315)+~P90(x100315)+~P1(f330(f63(x100311),x100314))+P1(f330(f330(f239(x100315),f330(f330(f6(x100311,x100315),x100312),x100313)),f330(f330(f6(x100311,x100315),x100312),x100314)))+~P1(f330(f330(f239(f937(x100311,a925)),x100313),x100314))+P1(f330(f330(f332(x100311),f854(x100312,x100313,x100314,x100311,x100315)),f330(f330(f23(f937(x100311,a925)),x100314),x100313))) % 242.40/242.49 [10121]E(x101211,f191(f937(x101212,a925)))+~P1(f330(f63(x101212),x101213))+~P1(f330(f63(x101212),x101211))+P1(f330(f330(f332(f936(f937(x101212,a925),f937(x101212,a925))),f330(f330(f256(f937(x101212,a925),f937(x101212,a925)),x101213),x101211)),f322(x101212,x101214)))+~P1(f330(f330(f332(x101212),x101215),x101211))+~P1(f330(f330(f332(f936(x101212,x101212)),f330(f330(f256(x101212,x101212),f541(x101214,x101211,x101213,x101212)),x101215)),x101214)) % 242.40/242.49 [10122]E(x101221,f191(f937(x101222,a925)))+~P1(f330(f63(x101222),x101223))+~P1(f330(f63(x101222),x101221))+P1(f330(f330(f332(f936(f937(x101222,a925),f937(x101222,a925))),f330(f330(f256(f937(x101222,a925),f937(x101222,a925)),x101223),x101221)),f322(x101222,x101224)))+~P1(f330(f330(f332(x101222),x101225),x101221))+~P1(f330(f330(f332(f936(x101222,x101222)),f330(f330(f256(x101222,x101222),f589(x101224,x101221,x101223,x101222)),x101225)),x101224)) % 242.40/242.49 [10276]~P83(x102761)+~E(f330(f330(f6(x102765,x102761),x102762),x102766),x102764)+~P1(f330(f63(x102765),x102766))+P1(f330(f330(f332(x102765),f891(x102763,x102764,x102762,x102766,x102765,x102761)),x102766))+P1(f330(f330(f239(x102761),f330(x102762,x102763)),x102764))+~P1(f330(f330(f332(x102765),x102763),x102766)) % 242.40/242.49 [10321]~P83(x103211)+~E(f330(f330(f6(x103215,x103211),x103212),x103216),x103214)+~P1(f330(f63(x103215),x103216))+~P1(f330(f330(f332(x103215),x103213),x103216))+~P1(f330(f330(f239(x103211),f2(x103211)),f330(x103212,f891(x103213,x103214,x103212,x103216,x103215,x103211))))+P1(f330(f330(f239(x103211),f330(x103212,x103213)),x103214)) % 242.40/242.49 [10460]~E(x104605,x104608)+~E(x104604,x104607)+~P111(x104601)+~P74(x104602)+E(f330(f330(f6(x104601,x104602),x104603),f330(f305(x104601,x104604),x104605)),f330(f330(f6(x104601,x104602),x104606),f330(f305(x104601,x104607),x104608)))+P1(f330(f330(f239(x104601),x104604),f592(x104603,x104606,x104605,x104608,x104604,x104607,x104601,x104602))) % 242.40/242.49 [10476]~E(x104767,x104764)+~E(x104768,x104765)+~P111(x104761)+~P74(x104762)+~E(f330(x104763,f592(x104766,x104763,x104768,x104765,x104767,x104764,x104761,x104762)),f330(x104766,f592(x104766,x104763,x104768,x104765,x104767,x104764,x104761,x104762)))+E(f330(f330(f6(x104761,x104762),x104763),f330(f305(x104761,x104764),x104765)),f330(f330(f6(x104761,x104762),x104766),f330(f305(x104761,x104767),x104768))) % 242.40/242.49 [10479]~E(x104794,x104797)+~E(x104795,x104798)+~P111(x104791)+~P74(x104792)+E(f330(f330(f6(x104791,x104792),x104793),f330(f305(x104791,x104794),x104795)),f330(f330(f6(x104791,x104792),x104796),f330(f305(x104791,x104797),x104798)))+P1(f330(f330(f240(x104791),f592(x104793,x104796,x104795,x104798,x104794,x104797,x104791,x104792)),x104795)) % 242.40/242.49 [10128]~P11(x101285,x101289,x101286)+~P11(x101281,x1012810,x101283)+~P15(x101281,x101285,f937(x101282,a925),x101283,x101286,x101288)+~P1(f330(f330(f332(x101285),x101287),x101289))+~P1(f330(f330(f332(x101281),x101284),x1012810))+E(f330(f330(f41(x101281,f937(x101282,a925)),f330(f289(x101281,x101281,x101283),f330(f330(f312(x101281),x101284),f191(f937(x101281,a925))))),f330(f330(f8(f937(x101285,f937(x101282,a925)),f937(x101282,a925),x101281),f330(f41(x101285,f937(x101282,a925)),f330(f289(x101285,x101285,x101286),f330(f330(f312(x101285),x101287),f191(f937(x101285,a925)))))),x101288)),f330(f330(x101288,x101284),x101287)) % 242.40/242.49 [5825]~P112(x58253)+~P16(x58253,x58252)+~P16(x58253,x58251)+E(x58251,x58252)+~E(f330(f175(x58253),x58251),f330(f175(x58253),x58252))+~P1(f330(f140(x58253),x58252))+~P1(f330(f140(x58253),x58251)) % 242.40/242.49 [5160]~P141(x51602)+~P130(x51602)+~P135(x51602)+~P117(x51602)+~E(x51603,f2(x51602))+E(x51601,f2(a930))+E(f330(f330(f248(x51602),x51603),x51601),f2(x51602)) % 242.40/242.49 [9429]E(x94291,f2(a930))+~E(x94292,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x94293)),x94291)),f330(f260(a930,a930),x94293)))+P1(f330(f50(x94292,x94291),x94293))+~P1(f330(f330(f239(a930),f330(f260(a930,a930),x94293)),f2(a930)))+~P1(f330(f330(f239(a930),f2(a930)),f330(f260(a930,a930),x94293)))+~P1(f330(f330(f240(a930),x94291),f330(f260(a930,a930),x94293)))+~P1(f330(f330(f240(a930),f330(f260(a930,a930),x94293)),x94291)) % 242.40/242.49 [9437]~E(f330(f255(a930,a930),x94373),f2(a930))+~E(x94371,f330(f330(f82(a930),f330(f330(f83(a930),f330(f255(a930,a930),x94373)),x94372)),f330(f260(a930,a930),x94373)))+P1(f330(f50(x94371,x94372),x94373))+~P1(f330(f330(f239(a930),f330(f260(a930,a930),x94373)),f2(a930)))+~P1(f330(f330(f239(a930),f2(a930)),f330(f260(a930,a930),x94373)))+~P1(f330(f330(f240(a930),x94372),f330(f260(a930,a930),x94373)))+~P1(f330(f330(f240(a930),f330(f260(a930,a930),x94373)),x94372)) % 242.40/242.49 [8246]~P78(x82462)+E(x82461,f191(f937(x82462,a925)))+E(x82463,f191(f937(x82462,a925)))+~P1(f330(f63(x82462),x82461))+~P1(f330(f63(x82462),x82463))+~E(f330(f330(f104(f937(x82462,a925)),x82463),x82461),f191(f937(x82462,a925)))+E(f330(f330(f83(x82462),f330(f65(x82462,f83(x82462)),x82463)),f330(f65(x82462,f83(x82462)),x82461)),f330(f65(x82462,f83(x82462)),f330(f330(f113(f937(x82462,a925)),x82463),x82461))) % 242.40/242.49 [8023]E(x80231,f2(a1))+E(f330(f330(f38(a1),x80232),x80231),x80233)+~P1(f330(f330(f239(a1),x80234),f2(a1)))+~E(x80232,f330(f330(f82(a1),f330(f330(f83(a1),x80231),x80233)),x80234))+~P1(f330(f330(f239(a1),f2(a1)),x80234))+~P1(f330(f330(f240(a1),x80234),x80231))+~P1(f330(f330(f240(a1),x80231),x80234)) % 242.40/242.49 [8031]E(f47(a1,x80312,x80311),x80313)+E(x80311,f2(a1))+~P1(f330(f330(f239(a1),x80313),f2(a1)))+~E(x80312,f330(f330(f82(a1),f330(f330(f83(a1),x80311),x80314)),x80313))+~P1(f330(f330(f239(a1),f2(a1)),x80313))+~P1(f330(f330(f240(a1),x80313),x80311))+~P1(f330(f330(f240(a1),x80311),x80313)) % 242.40/242.49 [7935]~P21(x79352,x79355,x79354)+E(x79351,f191(f937(x79352,a925)))+E(x79353,f191(f937(x79352,a925)))+~P1(f330(f63(x79352),x79351))+~P1(f330(f63(x79352),x79353))+~E(f330(f330(f104(f937(x79352,a925)),x79353),x79351),f191(f937(x79352,a925)))+E(f330(x79354,f330(f330(f113(f937(x79352,a925)),x79353),x79351)),f330(f330(x79355,f330(x79354,x79353)),f330(x79354,x79351))) % 242.40/242.49 [9671]~P28(x96713,x96711,x96715,x96714)+~P28(x96711,x96713,x96716,x96712)+E(f330(f37(x96711),x96712),f330(f37(x96713),x96714))+~P1(f330(f63(x96713),x96714))+~P1(f330(f63(x96711),x96712))+~P1(f330(f330(f239(f937(x96713,a925)),f330(f313(x96711,x96713,x96716),x96712)),x96714))+~P1(f330(f330(f239(f937(x96711,a925)),f330(f313(x96713,x96711,x96715),x96714)),x96712)) % 242.40/242.49 [9615]~P1(f330(f330(f240(a1),f330(f330(f82(a1),f330(f330(f83(a1),x96155),x96151)),x96156)),f2(a1)))+~E(f330(f330(f82(a1),f330(f330(f83(a1),x96153),x96152)),x96154),f330(f330(f82(a1),f330(f330(f83(a1),x96155),x96151)),x96156))+~P1(f330(f330(f239(a1),f2(a1)),x96156))+~P1(f330(f330(f240(a1),f2(a1)),x96155))+~P1(f330(f330(f239(a1),x96155),x96153))+~P1(f330(f330(f240(a1),x96154),x96153))+P1(f330(f330(f239(a1),x96151),x96152)) % 242.40/242.49 [9374]~E(f330(f330(f82(a1),f330(f330(f83(a1),x93743),x93741)),x93744),f330(f330(f82(a1),f330(f330(f83(a1),x93745),x93742)),x93746))+~P1(f330(f330(f239(a1),f2(a1)),x93744))+~P1(f330(f330(f240(a1),f2(a1)),x93745))+~P1(f330(f330(f239(a1),x93745),x93743))+~P1(f330(f330(f240(a1),x93746),x93745))+P1(f330(f330(f239(a1),x93741),x93742))+~P1(f330(f330(f239(a1),f2(a1)),f330(f330(f82(a1),f330(f330(f83(a1),x93745),x93742)),x93746))) % 242.40/242.49 [9555]~P133(x95551)+~E(f330(f330(f82(x95551),x95552),x95554),f80(x95551))+~P1(f330(f330(f239(x95551),x95555),x95556))+~P1(f330(f330(f239(x95551),x95553),x95556))+~P1(f330(f330(f239(x95551),f2(x95551)),x95554))+~P1(f330(f330(f239(x95551),f2(x95551)),x95552))+P1(f330(f330(f239(x95551),f330(f330(f82(x95551),f330(f330(f83(x95551),x95552),x95553)),f330(f330(f83(x95551),x95554),x95555))),x95556)) % 242.40/242.49 [9556]~P134(x95561)+~E(f330(f330(f82(x95561),x95562),x95564),f80(x95561))+~P1(f330(f330(f239(x95561),f2(x95561)),x95564))+~P1(f330(f330(f239(x95561),f2(x95561)),x95562))+~P1(f330(f330(f240(x95561),x95565),x95566))+~P1(f330(f330(f240(x95561),x95563),x95566))+P1(f330(f330(f240(x95561),f330(f330(f82(x95561),f330(f330(f83(x95561),x95562),x95563)),f330(f330(f83(x95561),x95564),x95565))),x95566)) % 242.40/242.49 [10371]~P11(x103717,x103716,x103715)+E(x103711,x103712)+~P14(x103717,f937(x103714,a925),x103715,x103713)+E(f330(x103713,f508(x103711,x103712,x103713,x103714,x103715,x103716,x103717)),f330(x103713,f509(x103711,x103712,x103713,x103714,x103715,x103716,x103717)))+~E(f330(f330(f41(x103717,f937(x103714,a925)),x103711),x103713),f330(f330(f41(x103717,f937(x103714,a925)),x103712),x103713))+~P1(f330(f330(f332(f937(x103717,a925)),x103712),f330(f330(f62(x103717),x103716),x103715)))+~P1(f330(f330(f332(f937(x103717,a925)),x103711),f330(f330(f62(x103717),x103716),x103715))) % 242.40/242.49 [10416]~P11(x104163,x104167,x104166)+E(x104161,x104162)+~P14(x104163,f937(x104165,a925),x104166,x104164)+~E(f330(f330(f41(x104163,f937(x104165,a925)),x104161),x104164),f330(f330(f41(x104163,f937(x104165,a925)),x104162),x104164))+P1(f330(f330(f332(x104163),f509(x104161,x104162,x104164,x104165,x104166,x104167,x104163)),x104167))+~P1(f330(f330(f332(f937(x104163,a925)),x104162),f330(f330(f62(x104163),x104167),x104166)))+~P1(f330(f330(f332(f937(x104163,a925)),x104161),f330(f330(f62(x104163),x104167),x104166))) % 242.40/242.49 [10417]~P11(x104173,x104177,x104176)+E(x104171,x104172)+~P14(x104173,f937(x104175,a925),x104176,x104174)+~E(f330(f330(f41(x104173,f937(x104175,a925)),x104171),x104174),f330(f330(f41(x104173,f937(x104175,a925)),x104172),x104174))+P1(f330(f330(f332(x104173),f508(x104171,x104172,x104174,x104175,x104176,x104177,x104173)),x104177))+~P1(f330(f330(f332(f937(x104173,a925)),x104172),f330(f330(f62(x104173),x104177),x104176)))+~P1(f330(f330(f332(f937(x104173,a925)),x104171),f330(f330(f62(x104173),x104177),x104176))) % 242.40/242.49 [10497]E(x104971,x104972)+~P11(x104973,x104976,x104977)+~P14(x104973,f937(x104974,a925),x104977,x104975)+~E(f330(f330(f41(x104973,f937(x104974,a925)),x104971),x104975),f330(f330(f41(x104973,f937(x104974,a925)),x104972),x104975))+~P1(f330(f330(f332(f936(x104973,x104973)),f330(f330(f256(x104973,x104973),f509(x104971,x104972,x104975,x104974,x104977,x104976,x104973)),f508(x104971,x104972,x104975,x104974,x104977,x104976,x104973))),x104977))+~P1(f330(f330(f332(f937(x104973,a925)),x104972),f330(f330(f62(x104973),x104976),x104977)))+~P1(f330(f330(f332(f937(x104973,a925)),x104971),f330(f330(f62(x104973),x104976),x104977))) % 242.40/242.49 [9373]~P11(x93731,x93737,x93734)+~E(x93735,x93736)+~P1(f330(f330(f332(x93731),x93733),x93736))+~P1(f330(f330(f332(x93731),x93732),x93735))+~P1(f330(f330(f332(f937(x93731,a925)),x93736),f330(f330(f62(x93731),x93737),x93734)))+~P1(f330(f330(f332(f937(x93731,a925)),x93735),f330(f330(f62(x93731),x93737),x93734)))+P1(f330(f330(f332(f936(x93731,x93731)),f330(f330(f256(x93731,x93731),x93732),x93733)),x93734)) % 242.40/242.49 [9514]E(x95141,x95142)+~P11(x95143,x95144,x95145)+~P1(f330(f330(f332(x95143),x95146),x95142))+~P1(f330(f330(f332(x95143),x95147),x95141))+~P1(f330(f330(f332(f937(x95143,a925)),x95142),f330(f330(f62(x95143),x95144),x95145)))+~P1(f330(f330(f332(f937(x95143,a925)),x95141),f330(f330(f62(x95143),x95144),x95145)))+~P1(f330(f330(f332(f936(x95143,x95143)),f330(f330(f256(x95143,x95143),x95147),x95146)),x95145)) % 242.40/242.49 [10524]~P11(x105249,x105248,x105247)+~P11(x105241,x1052411,x1052410)+~P15(x105241,x105249,f937(x105246,a925),x1052410,x105247,x105245)+P1(f330(f330(f332(x105241),f501(x105242,x105243,x105244,x105245,x105246,x105247,x105248,x105249,x1052410,x1052411,x105241)),x1052411))+~P1(f330(f330(f332(f937(x105249,a925)),x105243),f330(f330(f62(x105249),x105248),x105247)))+~P1(f330(f330(f332(f937(x105241,a925)),x105244),f330(f330(f62(x105241),x1052411),x1052410)))+P1(f330(f330(f332(f937(x105246,a925)),f330(f330(f41(x105241,f937(x105246,a925)),x105244),f330(f330(f8(f937(x105249,f937(x105246,a925)),f937(x105246,a925),x105241),f330(f41(x105249,f937(x105246,a925)),x105243)),x105245))),x105242)) % 242.40/242.49 [10525]~P11(x1052511,x1052510,x105259)+~P11(x105251,x105258,x105257)+~P15(x1052511,x105251,f937(x105256,a925),x105259,x105257,x105255)+P1(f330(f330(f332(x105251),f502(x105252,x105253,x105254,x105255,x105256,x105257,x105258,x105251,x105259,x1052510,x1052511)),x105258))+~P1(f330(f330(f332(f937(x1052511,a925)),x105254),f330(f330(f62(x1052511),x1052510),x105259)))+~P1(f330(f330(f332(f937(x105251,a925)),x105253),f330(f330(f62(x105251),x105258),x105257)))+P1(f330(f330(f332(f937(x105256,a925)),f330(f330(f41(x1052511,f937(x105256,a925)),x105254),f330(f330(f8(f937(x105251,f937(x105256,a925)),f937(x105256,a925),x1052511),f330(f41(x105251,f937(x105256,a925)),x105253)),x105255))),x105252)) % 242.40/242.49 [10526]~P11(x105262,x105268,x105269)+~P11(x105264,x1052610,x1052611)+~P15(x105262,x105264,f937(x105261,a925),x105269,x1052611,x105266)+~P1(f330(f330(f332(f937(x105262,a925)),x105263),f330(f330(f62(x105262),x105268),x105269)))+~P1(f330(f330(f332(f937(x105264,a925)),x105265),f330(f330(f62(x105264),x1052610),x1052611)))+~P1(f330(f330(f332(f937(x105261,a925)),f330(f330(x105266,f501(x105267,x105265,x105263,x105266,x105261,x1052611,x1052610,x105264,x105269,x105268,x105262)),f502(x105267,x105265,x105263,x105266,x105261,x1052611,x1052610,x105264,x105269,x105268,x105262))),x105267))+P1(f330(f330(f332(f937(x105261,a925)),f330(f330(f41(x105262,f937(x105261,a925)),x105263),f330(f330(f8(f937(x105264,f937(x105261,a925)),f937(x105261,a925),x105262),f330(f41(x105264,f937(x105261,a925)),x105265)),x105266))),x105267)) % 242.40/242.49 [9415]E(x94151,x94152)+~P112(x94154)+~P28(x94153,x94154,x94155,f330(f330(f113(f937(x94153,a925)),f330(f175(x94153),x94151)),f330(f175(x94153),x94152)))+~E(f330(f175(x94153),x94151),f330(f175(x94153),x94152))+~P16(x94154,f330(f330(f157(x94153,x94154),x94155),x94152))+~P16(x94154,f330(f330(f157(x94153,x94154),x94155),x94151))+~P1(f330(f140(x94154),f330(f330(f157(x94153,x94154),x94155),x94152)))+~P1(f330(f140(x94154),f330(f330(f157(x94153,x94154),x94155),x94151))) % 242.40/242.49 %EqnAxiom % 242.40/242.49 [1]E(x11,x11) % 242.40/242.49 [2]E(x22,x21)+~E(x21,x22) % 242.40/242.49 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 242.40/242.49 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 242.40/242.49 [5]~E(x51,x52)+E(f103(x51),f103(x52)) % 242.40/242.49 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 242.40/242.49 [7]~E(x71,x72)+E(f191(x71),f191(x72)) % 242.40/242.49 [8]~E(x81,x82)+E(f330(x81,x83),f330(x82,x83)) % 242.40/242.49 [9]~E(x91,x92)+E(f330(x93,x91),f330(x93,x92)) % 242.40/242.49 [10]~E(x101,x102)+E(f30(x101),f30(x102)) % 242.40/242.49 [11]~E(x111,x112)+E(f937(x111,x113),f937(x112,x113)) % 242.40/242.49 [12]~E(x121,x122)+E(f937(x123,x121),f937(x123,x122)) % 242.40/242.49 [13]~E(x131,x132)+E(f104(x131),f104(x132)) % 242.40/242.49 [14]~E(x141,x142)+E(f237(x141),f237(x142)) % 242.40/242.49 [15]~E(x151,x152)+E(f113(x151),f113(x152)) % 242.40/242.49 [16]~E(x161,x162)+E(f238(x161),f238(x162)) % 242.40/242.49 [17]~E(x171,x172)+E(f105(x171),f105(x172)) % 242.40/242.49 [18]~E(x181,x182)+E(f33(x181),f33(x182)) % 242.40/242.49 [19]~E(x191,x192)+E(f86(x191),f86(x192)) % 242.40/242.49 [20]~E(x201,x202)+E(f312(x201),f312(x202)) % 242.40/242.49 [21]~E(x211,x212)+E(f63(x211),f63(x212)) % 242.40/242.49 [22]~E(x221,x222)+E(f502(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f502(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212)) % 242.40/242.49 [23]~E(x231,x232)+E(f502(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f502(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 242.40/242.49 [24]~E(x241,x242)+E(f502(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f502(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 242.40/242.49 [25]~E(x251,x252)+E(f502(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f502(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512)) % 242.40/242.49 [26]~E(x261,x262)+E(f502(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f502(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612)) % 242.40/242.49 [27]~E(x271,x272)+E(f502(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f502(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712)) % 242.40/242.49 [28]~E(x281,x282)+E(f502(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f502(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812)) % 242.40/242.49 [29]~E(x291,x292)+E(f502(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f502(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912)) % 242.40/242.49 [30]~E(x301,x302)+E(f502(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f502(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012)) % 242.40/242.49 [31]~E(x311,x312)+E(f502(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f502(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112)) % 242.40/242.49 [32]~E(x321,x322)+E(f502(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f502(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322)) % 242.40/242.49 [33]~E(x331,x332)+E(f266(x331),f266(x332)) % 242.40/242.49 [34]~E(x341,x342)+E(f80(x341),f80(x342)) % 242.40/242.49 [35]~E(x351,x352)+E(f501(x351,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f501(x352,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512)) % 242.40/242.49 [36]~E(x361,x362)+E(f501(x363,x361,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f501(x363,x362,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612)) % 242.40/242.49 [37]~E(x371,x372)+E(f501(x373,x374,x371,x375,x376,x377,x378,x379,x3710,x3711,x3712),f501(x373,x374,x372,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 242.40/242.49 [38]~E(x381,x382)+E(f501(x383,x384,x385,x381,x386,x387,x388,x389,x3810,x3811,x3812),f501(x383,x384,x385,x382,x386,x387,x388,x389,x3810,x3811,x3812)) % 242.40/242.49 [39]~E(x391,x392)+E(f501(x393,x394,x395,x396,x391,x397,x398,x399,x3910,x3911,x3912),f501(x393,x394,x395,x396,x392,x397,x398,x399,x3910,x3911,x3912)) % 242.40/242.49 [40]~E(x401,x402)+E(f501(x403,x404,x405,x406,x407,x401,x408,x409,x4010,x4011,x4012),f501(x403,x404,x405,x406,x407,x402,x408,x409,x4010,x4011,x4012)) % 242.40/242.49 [41]~E(x411,x412)+E(f501(x413,x414,x415,x416,x417,x418,x411,x419,x4110,x4111,x4112),f501(x413,x414,x415,x416,x417,x418,x412,x419,x4110,x4111,x4112)) % 242.40/242.49 [42]~E(x421,x422)+E(f501(x423,x424,x425,x426,x427,x428,x429,x421,x4210,x4211,x4212),f501(x423,x424,x425,x426,x427,x428,x429,x422,x4210,x4211,x4212)) % 242.40/242.49 [43]~E(x431,x432)+E(f501(x433,x434,x435,x436,x437,x438,x439,x4310,x431,x4311,x4312),f501(x433,x434,x435,x436,x437,x438,x439,x4310,x432,x4311,x4312)) % 242.40/242.49 [44]~E(x441,x442)+E(f501(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x441,x4412),f501(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x442,x4412)) % 242.40/242.49 [45]~E(x451,x452)+E(f501(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x451),f501(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x452)) % 242.40/242.49 [46]~E(x461,x462)+E(f4(x461),f4(x462)) % 242.40/242.49 [47]~E(x471,x472)+E(f332(x471),f332(x472)) % 242.40/242.49 [48]~E(x481,x482)+E(f15(x481,x483),f15(x482,x483)) % 242.40/242.49 [49]~E(x491,x492)+E(f15(x493,x491),f15(x493,x492)) % 242.40/242.49 [50]~E(x501,x502)+E(f114(x501),f114(x502)) % 242.40/242.49 [51]~E(x511,x512)+E(f860(x511,x513,x514,x515,x516,x517),f860(x512,x513,x514,x515,x516,x517)) % 242.40/242.49 [52]~E(x521,x522)+E(f860(x523,x521,x524,x525,x526,x527),f860(x523,x522,x524,x525,x526,x527)) % 242.40/242.49 [53]~E(x531,x532)+E(f860(x533,x534,x531,x535,x536,x537),f860(x533,x534,x532,x535,x536,x537)) % 242.40/242.49 [54]~E(x541,x542)+E(f860(x543,x544,x545,x541,x546,x547),f860(x543,x544,x545,x542,x546,x547)) % 242.40/242.49 [55]~E(x551,x552)+E(f860(x553,x554,x555,x556,x551,x557),f860(x553,x554,x555,x556,x552,x557)) % 242.40/242.49 [56]~E(x561,x562)+E(f860(x563,x564,x565,x566,x567,x561),f860(x563,x564,x565,x566,x567,x562)) % 242.40/242.49 [57]~E(x571,x572)+E(f929(x571),f929(x572)) % 242.40/242.49 [58]~E(x581,x582)+E(f934(x581),f934(x582)) % 242.40/242.49 [59]~E(x591,x592)+E(f931(x591),f931(x592)) % 242.40/242.49 [60]~E(x601,x602)+E(f932(x601),f932(x602)) % 242.40/242.49 [61]~E(x611,x612)+E(f81(x611),f81(x612)) % 242.40/242.49 [62]~E(x621,x622)+E(f861(x621,x623,x624,x625,x626,x627),f861(x622,x623,x624,x625,x626,x627)) % 242.40/242.49 [63]~E(x631,x632)+E(f861(x633,x631,x634,x635,x636,x637),f861(x633,x632,x634,x635,x636,x637)) % 242.40/242.49 [64]~E(x641,x642)+E(f861(x643,x644,x641,x645,x646,x647),f861(x643,x644,x642,x645,x646,x647)) % 242.40/242.49 [65]~E(x651,x652)+E(f861(x653,x654,x655,x651,x656,x657),f861(x653,x654,x655,x652,x656,x657)) % 242.40/242.49 [66]~E(x661,x662)+E(f861(x663,x664,x665,x666,x661,x667),f861(x663,x664,x665,x666,x662,x667)) % 242.40/242.49 [67]~E(x671,x672)+E(f861(x673,x674,x675,x676,x677,x671),f861(x673,x674,x675,x676,x677,x672)) % 242.40/242.49 [68]~E(x681,x682)+E(f192(x681),f192(x682)) % 242.40/242.49 [69]~E(x691,x692)+E(f256(x691,x693),f256(x692,x693)) % 242.40/242.49 [70]~E(x701,x702)+E(f256(x703,x701),f256(x703,x702)) % 242.40/242.49 [71]~E(x711,x712)+E(f106(x711),f106(x712)) % 242.40/242.49 [72]~E(x721,x722)+E(f306(x721,x723,x724),f306(x722,x723,x724)) % 242.40/242.49 [73]~E(x731,x732)+E(f306(x733,x731,x734),f306(x733,x732,x734)) % 242.40/242.49 [74]~E(x741,x742)+E(f306(x743,x744,x741),f306(x743,x744,x742)) % 242.40/242.49 [75]~E(x751,x752)+E(f936(x751,x753),f936(x752,x753)) % 242.40/242.49 [76]~E(x761,x762)+E(f936(x763,x761),f936(x763,x762)) % 242.40/242.49 [77]~E(x771,x772)+E(f868(x771,x773,x774,x775,x776,x777),f868(x772,x773,x774,x775,x776,x777)) % 242.40/242.49 [78]~E(x781,x782)+E(f868(x783,x781,x784,x785,x786,x787),f868(x783,x782,x784,x785,x786,x787)) % 242.40/242.49 [79]~E(x791,x792)+E(f868(x793,x794,x791,x795,x796,x797),f868(x793,x794,x792,x795,x796,x797)) % 242.40/242.49 [80]~E(x801,x802)+E(f868(x803,x804,x805,x801,x806,x807),f868(x803,x804,x805,x802,x806,x807)) % 242.40/242.49 [81]~E(x811,x812)+E(f868(x813,x814,x815,x816,x811,x817),f868(x813,x814,x815,x816,x812,x817)) % 242.40/242.49 [82]~E(x821,x822)+E(f868(x823,x824,x825,x826,x827,x821),f868(x823,x824,x825,x826,x827,x822)) % 242.40/242.49 [83]~E(x831,x832)+E(f869(x831,x833,x834,x835,x836,x837),f869(x832,x833,x834,x835,x836,x837)) % 242.40/242.49 [84]~E(x841,x842)+E(f869(x843,x841,x844,x845,x846,x847),f869(x843,x842,x844,x845,x846,x847)) % 242.40/242.49 [85]~E(x851,x852)+E(f869(x853,x854,x851,x855,x856,x857),f869(x853,x854,x852,x855,x856,x857)) % 242.40/242.49 [86]~E(x861,x862)+E(f869(x863,x864,x865,x861,x866,x867),f869(x863,x864,x865,x862,x866,x867)) % 242.40/242.49 [87]~E(x871,x872)+E(f869(x873,x874,x875,x876,x871,x877),f869(x873,x874,x875,x876,x872,x877)) % 242.40/242.49 [88]~E(x881,x882)+E(f869(x883,x884,x885,x886,x887,x881),f869(x883,x884,x885,x886,x887,x882)) % 242.40/242.49 [89]~E(x891,x892)+E(f62(x891),f62(x892)) % 242.40/242.49 [90]~E(x901,x902)+E(f477(x901,x903,x904),f477(x902,x903,x904)) % 242.40/242.49 [91]~E(x911,x912)+E(f477(x913,x911,x914),f477(x913,x912,x914)) % 242.40/242.49 [92]~E(x921,x922)+E(f477(x923,x924,x921),f477(x923,x924,x922)) % 242.40/242.49 [93]~E(x931,x932)+E(f41(x931,x933),f41(x932,x933)) % 242.40/242.49 [94]~E(x941,x942)+E(f41(x943,x941),f41(x943,x942)) % 242.40/242.49 [95]~E(x951,x952)+E(f239(x951),f239(x952)) % 242.40/242.49 [96]~E(x961,x962)+E(f313(x961,x963,x964),f313(x962,x963,x964)) % 242.40/242.49 [97]~E(x971,x972)+E(f313(x973,x971,x974),f313(x973,x972,x974)) % 242.40/242.49 [98]~E(x981,x982)+E(f313(x983,x984,x981),f313(x983,x984,x982)) % 242.40/242.49 [99]~E(x991,x992)+E(f752(x991,x993),f752(x992,x993)) % 242.40/242.49 [100]~E(x1001,x1002)+E(f752(x1003,x1001),f752(x1003,x1002)) % 242.40/242.49 [101]~E(x1011,x1012)+E(f240(x1011),f240(x1012)) % 242.40/242.49 [102]~E(x1021,x1022)+E(f292(x1021,x1023,x1024),f292(x1022,x1023,x1024)) % 242.40/242.49 [103]~E(x1031,x1032)+E(f292(x1033,x1031,x1034),f292(x1033,x1032,x1034)) % 242.40/242.49 [104]~E(x1041,x1042)+E(f292(x1043,x1044,x1041),f292(x1043,x1044,x1042)) % 242.40/242.49 [105]~E(x1051,x1052)+E(f38(x1051),f38(x1052)) % 242.40/242.49 [106]~E(x1061,x1062)+E(f246(x1061),f246(x1062)) % 242.40/242.49 [107]~E(x1071,x1072)+E(f83(x1071),f83(x1072)) % 242.40/242.49 [108]~E(x1081,x1082)+E(f570(x1081,x1083,x1084),f570(x1082,x1083,x1084)) % 242.40/242.49 [109]~E(x1091,x1092)+E(f570(x1093,x1091,x1094),f570(x1093,x1092,x1094)) % 242.40/242.49 [110]~E(x1101,x1102)+E(f570(x1103,x1104,x1101),f570(x1103,x1104,x1102)) % 242.40/242.49 [111]~E(x1111,x1112)+E(f876(x1111,x1113,x1114),f876(x1112,x1113,x1114)) % 242.40/242.49 [112]~E(x1121,x1122)+E(f876(x1123,x1121,x1124),f876(x1123,x1122,x1124)) % 242.40/242.49 [113]~E(x1131,x1132)+E(f876(x1133,x1134,x1131),f876(x1133,x1134,x1132)) % 242.40/242.49 [114]~E(x1141,x1142)+E(f8(x1141,x1143,x1144),f8(x1142,x1143,x1144)) % 242.40/242.49 [115]~E(x1151,x1152)+E(f8(x1153,x1151,x1154),f8(x1153,x1152,x1154)) % 242.40/242.49 [116]~E(x1161,x1162)+E(f8(x1163,x1164,x1161),f8(x1163,x1164,x1162)) % 242.40/242.49 [117]~E(x1171,x1172)+E(f516(x1171,x1173,x1174),f516(x1172,x1173,x1174)) % 242.40/242.49 [118]~E(x1181,x1182)+E(f516(x1183,x1181,x1184),f516(x1183,x1182,x1184)) % 242.40/242.49 [119]~E(x1191,x1192)+E(f516(x1193,x1194,x1191),f516(x1193,x1194,x1192)) % 242.40/242.49 [120]~E(x1201,x1202)+E(f168(x1201),f168(x1202)) % 242.40/242.49 [121]~E(x1211,x1212)+E(f665(x1211,x1213,x1214,x1215,x1216,x1217),f665(x1212,x1213,x1214,x1215,x1216,x1217)) % 242.40/242.49 [122]~E(x1221,x1222)+E(f665(x1223,x1221,x1224,x1225,x1226,x1227),f665(x1223,x1222,x1224,x1225,x1226,x1227)) % 242.40/242.49 [123]~E(x1231,x1232)+E(f665(x1233,x1234,x1231,x1235,x1236,x1237),f665(x1233,x1234,x1232,x1235,x1236,x1237)) % 242.40/242.49 [124]~E(x1241,x1242)+E(f665(x1243,x1244,x1245,x1241,x1246,x1247),f665(x1243,x1244,x1245,x1242,x1246,x1247)) % 242.40/242.49 [125]~E(x1251,x1252)+E(f665(x1253,x1254,x1255,x1256,x1251,x1257),f665(x1253,x1254,x1255,x1256,x1252,x1257)) % 242.40/242.49 [126]~E(x1261,x1262)+E(f665(x1263,x1264,x1265,x1266,x1267,x1261),f665(x1263,x1264,x1265,x1266,x1267,x1262)) % 242.40/242.49 [127]~E(x1271,x1272)+E(f666(x1271,x1273,x1274,x1275,x1276,x1277),f666(x1272,x1273,x1274,x1275,x1276,x1277)) % 242.40/242.49 [128]~E(x1281,x1282)+E(f666(x1283,x1281,x1284,x1285,x1286,x1287),f666(x1283,x1282,x1284,x1285,x1286,x1287)) % 242.40/242.49 [129]~E(x1291,x1292)+E(f666(x1293,x1294,x1291,x1295,x1296,x1297),f666(x1293,x1294,x1292,x1295,x1296,x1297)) % 242.40/242.49 [130]~E(x1301,x1302)+E(f666(x1303,x1304,x1305,x1301,x1306,x1307),f666(x1303,x1304,x1305,x1302,x1306,x1307)) % 242.40/242.49 [131]~E(x1311,x1312)+E(f666(x1313,x1314,x1315,x1316,x1311,x1317),f666(x1313,x1314,x1315,x1316,x1312,x1317)) % 242.40/242.49 [132]~E(x1321,x1322)+E(f666(x1323,x1324,x1325,x1326,x1327,x1321),f666(x1323,x1324,x1325,x1326,x1327,x1322)) % 242.40/242.49 [133]~E(x1331,x1332)+E(f293(x1331),f293(x1332)) % 242.40/242.49 [134]~E(x1341,x1342)+E(f248(x1341),f248(x1342)) % 242.40/242.49 [135]~E(x1351,x1352)+E(f562(x1351,x1353,x1354),f562(x1352,x1353,x1354)) % 242.40/242.49 [136]~E(x1361,x1362)+E(f562(x1363,x1361,x1364),f562(x1363,x1362,x1364)) % 242.40/242.49 [137]~E(x1371,x1372)+E(f562(x1373,x1374,x1371),f562(x1373,x1374,x1372)) % 242.40/242.49 [138]~E(x1381,x1382)+E(f490(x1381,x1383,x1384),f490(x1382,x1383,x1384)) % 242.40/242.49 [139]~E(x1391,x1392)+E(f490(x1393,x1391,x1394),f490(x1393,x1392,x1394)) % 242.40/242.49 [140]~E(x1401,x1402)+E(f490(x1403,x1404,x1401),f490(x1403,x1404,x1402)) % 242.40/242.49 [141]~E(x1411,x1412)+E(f175(x1411),f175(x1412)) % 242.40/242.49 [142]~E(x1421,x1422)+E(f157(x1421,x1423),f157(x1422,x1423)) % 242.40/242.49 [143]~E(x1431,x1432)+E(f157(x1433,x1431),f157(x1433,x1432)) % 242.40/242.49 [144]~E(x1441,x1442)+E(f49(x1441,x1443),f49(x1442,x1443)) % 242.40/242.49 [145]~E(x1451,x1452)+E(f49(x1453,x1451),f49(x1453,x1452)) % 242.40/242.49 [146]~E(x1461,x1462)+E(f82(x1461),f82(x1462)) % 242.40/242.49 [147]~E(x1471,x1472)+E(f7(x1471,x1473,x1474),f7(x1472,x1473,x1474)) % 242.40/242.49 [148]~E(x1481,x1482)+E(f7(x1483,x1481,x1484),f7(x1483,x1482,x1484)) % 242.40/242.49 [149]~E(x1491,x1492)+E(f7(x1493,x1494,x1491),f7(x1493,x1494,x1492)) % 242.40/242.49 [150]~E(x1501,x1502)+E(f611(x1501,x1503),f611(x1502,x1503)) % 242.40/242.49 [151]~E(x1511,x1512)+E(f611(x1513,x1511),f611(x1513,x1512)) % 242.40/242.49 [152]~E(x1521,x1522)+E(f746(x1521),f746(x1522)) % 242.40/242.49 [153]~E(x1531,x1532)+E(f40(x1531,x1533),f40(x1532,x1533)) % 242.40/242.49 [154]~E(x1541,x1542)+E(f40(x1543,x1541),f40(x1543,x1542)) % 242.40/242.49 [155]~E(x1551,x1552)+E(f197(x1551),f197(x1552)) % 242.40/242.49 [156]~E(x1561,x1562)+E(f664(x1561,x1563,x1564,x1565,x1566,x1567),f664(x1562,x1563,x1564,x1565,x1566,x1567)) % 242.40/242.49 [157]~E(x1571,x1572)+E(f664(x1573,x1571,x1574,x1575,x1576,x1577),f664(x1573,x1572,x1574,x1575,x1576,x1577)) % 242.40/242.49 [158]~E(x1581,x1582)+E(f664(x1583,x1584,x1581,x1585,x1586,x1587),f664(x1583,x1584,x1582,x1585,x1586,x1587)) % 242.40/242.49 [159]~E(x1591,x1592)+E(f664(x1593,x1594,x1595,x1591,x1596,x1597),f664(x1593,x1594,x1595,x1592,x1596,x1597)) % 242.40/242.49 [160]~E(x1601,x1602)+E(f664(x1603,x1604,x1605,x1606,x1601,x1607),f664(x1603,x1604,x1605,x1606,x1602,x1607)) % 242.40/242.49 [161]~E(x1611,x1612)+E(f664(x1613,x1614,x1615,x1616,x1617,x1611),f664(x1613,x1614,x1615,x1616,x1617,x1612)) % 242.40/242.49 [162]~E(x1621,x1622)+E(f258(x1621,x1623),f258(x1622,x1623)) % 242.40/242.49 [163]~E(x1631,x1632)+E(f258(x1633,x1631),f258(x1633,x1632)) % 242.40/242.49 [164]~E(x1641,x1642)+E(f139(x1641,x1643),f139(x1642,x1643)) % 242.40/242.49 [165]~E(x1651,x1652)+E(f139(x1653,x1651),f139(x1653,x1652)) % 242.40/242.49 [166]~E(x1661,x1662)+E(f730(x1661,x1663),f730(x1662,x1663)) % 242.40/242.49 [167]~E(x1671,x1672)+E(f730(x1673,x1671),f730(x1673,x1672)) % 242.40/242.49 [168]~E(x1681,x1682)+E(f537(x1681,x1683,x1684,x1685,x1686,x1687,x1688,x1689),f537(x1682,x1683,x1684,x1685,x1686,x1687,x1688,x1689)) % 242.40/242.49 [169]~E(x1691,x1692)+E(f537(x1693,x1691,x1694,x1695,x1696,x1697,x1698,x1699),f537(x1693,x1692,x1694,x1695,x1696,x1697,x1698,x1699)) % 242.40/242.49 [170]~E(x1701,x1702)+E(f537(x1703,x1704,x1701,x1705,x1706,x1707,x1708,x1709),f537(x1703,x1704,x1702,x1705,x1706,x1707,x1708,x1709)) % 242.40/242.49 [171]~E(x1711,x1712)+E(f537(x1713,x1714,x1715,x1711,x1716,x1717,x1718,x1719),f537(x1713,x1714,x1715,x1712,x1716,x1717,x1718,x1719)) % 242.40/242.49 [172]~E(x1721,x1722)+E(f537(x1723,x1724,x1725,x1726,x1721,x1727,x1728,x1729),f537(x1723,x1724,x1725,x1726,x1722,x1727,x1728,x1729)) % 242.40/242.49 [173]~E(x1731,x1732)+E(f537(x1733,x1734,x1735,x1736,x1737,x1731,x1738,x1739),f537(x1733,x1734,x1735,x1736,x1737,x1732,x1738,x1739)) % 242.40/242.49 [174]~E(x1741,x1742)+E(f537(x1743,x1744,x1745,x1746,x1747,x1748,x1741,x1749),f537(x1743,x1744,x1745,x1746,x1747,x1748,x1742,x1749)) % 242.40/242.49 [175]~E(x1751,x1752)+E(f537(x1753,x1754,x1755,x1756,x1757,x1758,x1759,x1751),f537(x1753,x1754,x1755,x1756,x1757,x1758,x1759,x1752)) % 242.40/242.49 [176]~E(x1761,x1762)+E(f108(x1761),f108(x1762)) % 242.40/242.49 [177]~E(x1771,x1772)+E(f109(x1771),f109(x1772)) % 242.40/242.49 [178]~E(x1781,x1782)+E(f331(x1781),f331(x1782)) % 242.40/242.49 [179]~E(x1791,x1792)+E(f164(x1791,x1793),f164(x1792,x1793)) % 242.40/242.49 [180]~E(x1801,x1802)+E(f164(x1803,x1801),f164(x1803,x1802)) % 242.40/242.49 [181]~E(x1811,x1812)+E(f564(x1811),f564(x1812)) % 242.40/242.49 [182]~E(x1821,x1822)+E(f47(x1821,x1823,x1824),f47(x1822,x1823,x1824)) % 242.40/242.49 [183]~E(x1831,x1832)+E(f47(x1833,x1831,x1834),f47(x1833,x1832,x1834)) % 242.40/242.49 [184]~E(x1841,x1842)+E(f47(x1843,x1844,x1841),f47(x1843,x1844,x1842)) % 242.40/242.49 [185]~E(x1851,x1852)+E(f6(x1851,x1853),f6(x1852,x1853)) % 242.40/242.49 [186]~E(x1861,x1862)+E(f6(x1863,x1861),f6(x1863,x1862)) % 242.40/242.49 [187]~E(x1871,x1872)+E(f245(x1871,x1873),f245(x1872,x1873)) % 242.40/242.49 [188]~E(x1881,x1882)+E(f245(x1883,x1881),f245(x1883,x1882)) % 242.40/242.49 [189]~E(x1891,x1892)+E(f99(x1891),f99(x1892)) % 242.40/242.49 [190]~E(x1901,x1902)+E(f702(x1901,x1903,x1904,x1905,x1906),f702(x1902,x1903,x1904,x1905,x1906)) % 242.40/242.49 [191]~E(x1911,x1912)+E(f702(x1913,x1911,x1914,x1915,x1916),f702(x1913,x1912,x1914,x1915,x1916)) % 242.40/242.49 [192]~E(x1921,x1922)+E(f702(x1923,x1924,x1921,x1925,x1926),f702(x1923,x1924,x1922,x1925,x1926)) % 242.40/242.49 [193]~E(x1931,x1932)+E(f702(x1933,x1934,x1935,x1931,x1936),f702(x1933,x1934,x1935,x1932,x1936)) % 242.40/242.49 [194]~E(x1941,x1942)+E(f702(x1943,x1944,x1945,x1946,x1941),f702(x1943,x1944,x1945,x1946,x1942)) % 242.40/242.49 [195]~E(x1951,x1952)+E(f573(x1951,x1953,x1954),f573(x1952,x1953,x1954)) % 242.40/242.49 [196]~E(x1961,x1962)+E(f573(x1963,x1961,x1964),f573(x1963,x1962,x1964)) % 242.40/242.49 [197]~E(x1971,x1972)+E(f573(x1973,x1974,x1971),f573(x1973,x1974,x1972)) % 242.40/242.49 [198]~E(x1981,x1982)+E(f77(x1981),f77(x1982)) % 242.40/242.49 [199]~E(x1991,x1992)+E(f5(x1991),f5(x1992)) % 242.40/242.49 [200]~E(x2001,x2002)+E(f227(x2001,x2003,x2004,x2005,x2006),f227(x2002,x2003,x2004,x2005,x2006)) % 242.40/242.49 [201]~E(x2011,x2012)+E(f227(x2013,x2011,x2014,x2015,x2016),f227(x2013,x2012,x2014,x2015,x2016)) % 242.40/242.49 [202]~E(x2021,x2022)+E(f227(x2023,x2024,x2021,x2025,x2026),f227(x2023,x2024,x2022,x2025,x2026)) % 242.40/242.49 [203]~E(x2031,x2032)+E(f227(x2033,x2034,x2035,x2031,x2036),f227(x2033,x2034,x2035,x2032,x2036)) % 242.40/242.49 [204]~E(x2041,x2042)+E(f227(x2043,x2044,x2045,x2046,x2041),f227(x2043,x2044,x2045,x2046,x2042)) % 242.40/242.49 [205]~E(x2051,x2052)+E(f310(x2051,x2053),f310(x2052,x2053)) % 242.40/242.49 [206]~E(x2061,x2062)+E(f310(x2063,x2061),f310(x2063,x2062)) % 242.40/242.49 [207]~E(x2071,x2072)+E(f68(x2071,x2073,x2074,x2075,x2076),f68(x2072,x2073,x2074,x2075,x2076)) % 242.40/242.49 [208]~E(x2081,x2082)+E(f68(x2083,x2081,x2084,x2085,x2086),f68(x2083,x2082,x2084,x2085,x2086)) % 242.40/242.49 [209]~E(x2091,x2092)+E(f68(x2093,x2094,x2091,x2095,x2096),f68(x2093,x2094,x2092,x2095,x2096)) % 242.40/242.49 [210]~E(x2101,x2102)+E(f68(x2103,x2104,x2105,x2101,x2106),f68(x2103,x2104,x2105,x2102,x2106)) % 242.40/242.49 [211]~E(x2111,x2112)+E(f68(x2113,x2114,x2115,x2116,x2111),f68(x2113,x2114,x2115,x2116,x2112)) % 242.40/242.49 [212]~E(x2121,x2122)+E(f184(x2121,x2123),f184(x2122,x2123)) % 242.40/242.49 [213]~E(x2131,x2132)+E(f184(x2133,x2131),f184(x2133,x2132)) % 242.40/242.49 [214]~E(x2141,x2142)+E(f16(x2141,x2143),f16(x2142,x2143)) % 242.40/242.49 [215]~E(x2151,x2152)+E(f16(x2153,x2151),f16(x2153,x2152)) % 242.40/242.49 [216]~E(x2161,x2162)+E(f178(x2161),f178(x2162)) % 242.40/242.49 [217]~E(x2171,x2172)+E(f66(x2171,x2173,x2174),f66(x2172,x2173,x2174)) % 242.40/242.49 [218]~E(x2181,x2182)+E(f66(x2183,x2181,x2184),f66(x2183,x2182,x2184)) % 242.40/242.49 [219]~E(x2191,x2192)+E(f66(x2193,x2194,x2191),f66(x2193,x2194,x2192)) % 242.40/242.49 [220]~E(x2201,x2202)+E(f74(x2201,x2203,x2204,x2205),f74(x2202,x2203,x2204,x2205)) % 242.40/242.49 [221]~E(x2211,x2212)+E(f74(x2213,x2211,x2214,x2215),f74(x2213,x2212,x2214,x2215)) % 242.40/242.49 [222]~E(x2221,x2222)+E(f74(x2223,x2224,x2221,x2225),f74(x2223,x2224,x2222,x2225)) % 242.40/242.49 [223]~E(x2231,x2232)+E(f74(x2233,x2234,x2235,x2231),f74(x2233,x2234,x2235,x2232)) % 242.40/242.49 [224]~E(x2241,x2242)+E(f167(x2241),f167(x2242)) % 242.40/242.49 [225]~E(x2251,x2252)+E(f39(x2251,x2253),f39(x2252,x2253)) % 242.40/242.49 [226]~E(x2261,x2262)+E(f39(x2263,x2261),f39(x2263,x2262)) % 242.40/242.49 [227]~E(x2271,x2272)+E(f795(x2271,x2273,x2274,x2275),f795(x2272,x2273,x2274,x2275)) % 242.40/242.49 [228]~E(x2281,x2282)+E(f795(x2283,x2281,x2284,x2285),f795(x2283,x2282,x2284,x2285)) % 242.40/242.49 [229]~E(x2291,x2292)+E(f795(x2293,x2294,x2291,x2295),f795(x2293,x2294,x2292,x2295)) % 242.40/242.49 [230]~E(x2301,x2302)+E(f795(x2303,x2304,x2305,x2301),f795(x2303,x2304,x2305,x2302)) % 242.40/242.49 [231]~E(x2311,x2312)+E(f154(x2311),f154(x2312)) % 242.40/242.49 [232]~E(x2321,x2322)+E(f151(x2321,x2323,x2324),f151(x2322,x2323,x2324)) % 242.40/242.49 [233]~E(x2331,x2332)+E(f151(x2333,x2331,x2334),f151(x2333,x2332,x2334)) % 242.40/242.49 [234]~E(x2341,x2342)+E(f151(x2343,x2344,x2341),f151(x2343,x2344,x2342)) % 242.40/242.49 [235]~E(x2351,x2352)+E(f31(x2351,x2353),f31(x2352,x2353)) % 242.40/242.49 [236]~E(x2361,x2362)+E(f31(x2363,x2361),f31(x2363,x2362)) % 242.40/242.49 [237]~E(x2371,x2372)+E(f571(x2371,x2373,x2374),f571(x2372,x2373,x2374)) % 242.40/242.49 [238]~E(x2381,x2382)+E(f571(x2383,x2381,x2384),f571(x2383,x2382,x2384)) % 242.40/242.49 [239]~E(x2391,x2392)+E(f571(x2393,x2394,x2391),f571(x2393,x2394,x2392)) % 242.40/242.49 [240]~E(x2401,x2402)+E(f180(x2401,x2403,x2404),f180(x2402,x2403,x2404)) % 242.40/242.49 [241]~E(x2411,x2412)+E(f180(x2413,x2411,x2414),f180(x2413,x2412,x2414)) % 242.40/242.49 [242]~E(x2421,x2422)+E(f180(x2423,x2424,x2421),f180(x2423,x2424,x2422)) % 242.40/242.49 [243]~E(x2431,x2432)+E(f270(x2431,x2433),f270(x2432,x2433)) % 242.40/242.49 [244]~E(x2441,x2442)+E(f270(x2443,x2441),f270(x2443,x2442)) % 242.40/242.49 [245]~E(x2451,x2452)+E(f67(x2451,x2453,x2454),f67(x2452,x2453,x2454)) % 242.40/242.49 [246]~E(x2461,x2462)+E(f67(x2463,x2461,x2464),f67(x2463,x2462,x2464)) % 242.40/242.49 [247]~E(x2471,x2472)+E(f67(x2473,x2474,x2471),f67(x2473,x2474,x2472)) % 242.40/242.49 [248]~E(x2481,x2482)+E(f55(x2481,x2483),f55(x2482,x2483)) % 242.40/242.49 [249]~E(x2491,x2492)+E(f55(x2493,x2491),f55(x2493,x2492)) % 242.40/242.49 [250]~E(x2501,x2502)+E(f162(x2501,x2503),f162(x2502,x2503)) % 242.40/242.49 [251]~E(x2511,x2512)+E(f162(x2513,x2511),f162(x2513,x2512)) % 242.40/242.49 [252]~E(x2521,x2522)+E(f116(x2521),f116(x2522)) % 242.40/242.49 [253]~E(x2531,x2532)+E(f305(x2531,x2533),f305(x2532,x2533)) % 242.40/242.49 [254]~E(x2541,x2542)+E(f305(x2543,x2541),f305(x2543,x2542)) % 242.40/242.49 [255]~E(x2551,x2552)+E(f12(x2551,x2553,x2554),f12(x2552,x2553,x2554)) % 242.40/242.49 [256]~E(x2561,x2562)+E(f12(x2563,x2561,x2564),f12(x2563,x2562,x2564)) % 242.40/242.49 [257]~E(x2571,x2572)+E(f12(x2573,x2574,x2571),f12(x2573,x2574,x2572)) % 242.40/242.49 [258]~E(x2581,x2582)+E(f255(x2581,x2583),f255(x2582,x2583)) % 242.40/242.49 [259]~E(x2591,x2592)+E(f255(x2593,x2591),f255(x2593,x2592)) % 242.40/242.49 [260]~E(x2601,x2602)+E(f76(x2601,x2603,x2604,x2605,x2606),f76(x2602,x2603,x2604,x2605,x2606)) % 242.40/242.49 [261]~E(x2611,x2612)+E(f76(x2613,x2611,x2614,x2615,x2616),f76(x2613,x2612,x2614,x2615,x2616)) % 242.40/242.49 [262]~E(x2621,x2622)+E(f76(x2623,x2624,x2621,x2625,x2626),f76(x2623,x2624,x2622,x2625,x2626)) % 242.40/242.49 [263]~E(x2631,x2632)+E(f76(x2633,x2634,x2635,x2631,x2636),f76(x2633,x2634,x2635,x2632,x2636)) % 242.40/242.49 [264]~E(x2641,x2642)+E(f76(x2643,x2644,x2645,x2646,x2641),f76(x2643,x2644,x2645,x2646,x2642)) % 242.40/242.49 [265]~E(x2651,x2652)+E(f84(x2651,x2653),f84(x2652,x2653)) % 242.40/242.49 [266]~E(x2661,x2662)+E(f84(x2663,x2661),f84(x2663,x2662)) % 242.40/242.49 [267]~E(x2671,x2672)+E(f14(x2671,x2673),f14(x2672,x2673)) % 242.40/242.49 [268]~E(x2681,x2682)+E(f14(x2683,x2681),f14(x2683,x2682)) % 242.40/242.49 [269]~E(x2691,x2692)+E(f172(x2691,x2693,x2694),f172(x2692,x2693,x2694)) % 242.40/242.49 [270]~E(x2701,x2702)+E(f172(x2703,x2701,x2704),f172(x2703,x2702,x2704)) % 242.40/242.49 [271]~E(x2711,x2712)+E(f172(x2713,x2714,x2711),f172(x2713,x2714,x2712)) % 242.40/242.49 [272]~E(x2721,x2722)+E(f161(x2721,x2723),f161(x2722,x2723)) % 242.40/242.49 [273]~E(x2731,x2732)+E(f161(x2733,x2731),f161(x2733,x2732)) % 242.40/242.49 [274]~E(x2741,x2742)+E(f318(x2741,x2743),f318(x2742,x2743)) % 242.40/242.49 [275]~E(x2751,x2752)+E(f318(x2753,x2751),f318(x2753,x2752)) % 242.40/242.49 [276]~E(x2761,x2762)+E(f171(x2761),f171(x2762)) % 242.40/242.49 [277]~E(x2771,x2772)+E(f291(x2771,x2773),f291(x2772,x2773)) % 242.40/242.49 [278]~E(x2781,x2782)+E(f291(x2783,x2781),f291(x2783,x2782)) % 242.40/242.49 [279]~E(x2791,x2792)+E(f621(x2791,x2793,x2794,x2795),f621(x2792,x2793,x2794,x2795)) % 242.40/242.49 [280]~E(x2801,x2802)+E(f621(x2803,x2801,x2804,x2805),f621(x2803,x2802,x2804,x2805)) % 242.40/242.49 [281]~E(x2811,x2812)+E(f621(x2813,x2814,x2811,x2815),f621(x2813,x2814,x2812,x2815)) % 242.40/242.49 [282]~E(x2821,x2822)+E(f621(x2823,x2824,x2825,x2821),f621(x2823,x2824,x2825,x2822)) % 242.40/242.49 [283]~E(x2831,x2832)+E(f11(x2831,x2833,x2834),f11(x2832,x2833,x2834)) % 242.40/242.49 [284]~E(x2841,x2842)+E(f11(x2843,x2841,x2844),f11(x2843,x2842,x2844)) % 242.40/242.49 [285]~E(x2851,x2852)+E(f11(x2853,x2854,x2851),f11(x2853,x2854,x2852)) % 242.40/242.49 [286]~E(x2861,x2862)+E(f740(x2861,x2863,x2864,x2865,x2866),f740(x2862,x2863,x2864,x2865,x2866)) % 242.40/242.49 [287]~E(x2871,x2872)+E(f740(x2873,x2871,x2874,x2875,x2876),f740(x2873,x2872,x2874,x2875,x2876)) % 242.40/242.49 [288]~E(x2881,x2882)+E(f740(x2883,x2884,x2881,x2885,x2886),f740(x2883,x2884,x2882,x2885,x2886)) % 242.40/242.49 [289]~E(x2891,x2892)+E(f740(x2893,x2894,x2895,x2891,x2896),f740(x2893,x2894,x2895,x2892,x2896)) % 242.40/242.49 [290]~E(x2901,x2902)+E(f740(x2903,x2904,x2905,x2906,x2901),f740(x2903,x2904,x2905,x2906,x2902)) % 242.40/242.49 [291]~E(x2911,x2912)+E(f158(x2911,x2913,x2914),f158(x2912,x2913,x2914)) % 242.40/242.49 [292]~E(x2921,x2922)+E(f158(x2923,x2921,x2924),f158(x2923,x2922,x2924)) % 242.40/242.49 [293]~E(x2931,x2932)+E(f158(x2933,x2934,x2931),f158(x2933,x2934,x2932)) % 242.40/242.49 [294]~E(x2941,x2942)+E(f117(x2941,x2943),f117(x2942,x2943)) % 242.40/242.49 [295]~E(x2951,x2952)+E(f117(x2953,x2951),f117(x2953,x2952)) % 242.40/242.49 [296]~E(x2961,x2962)+E(f322(x2961,x2963),f322(x2962,x2963)) % 242.40/242.49 [297]~E(x2971,x2972)+E(f322(x2973,x2971),f322(x2973,x2972)) % 242.40/242.49 [298]~E(x2981,x2982)+E(f796(x2981,x2983,x2984),f796(x2982,x2983,x2984)) % 242.40/242.49 [299]~E(x2991,x2992)+E(f796(x2993,x2991,x2994),f796(x2993,x2992,x2994)) % 242.40/242.49 [300]~E(x3001,x3002)+E(f796(x3003,x3004,x3001),f796(x3003,x3004,x3002)) % 242.40/242.49 [301]~E(x3011,x3012)+E(f155(x3011,x3013),f155(x3012,x3013)) % 242.40/242.49 [302]~E(x3021,x3022)+E(f155(x3023,x3021),f155(x3023,x3022)) % 242.40/242.49 [303]~E(x3031,x3032)+E(f29(x3031,x3033,x3034),f29(x3032,x3033,x3034)) % 242.40/242.49 [304]~E(x3041,x3042)+E(f29(x3043,x3041,x3044),f29(x3043,x3042,x3044)) % 242.40/242.49 [305]~E(x3051,x3052)+E(f29(x3053,x3054,x3051),f29(x3053,x3054,x3052)) % 242.40/242.49 [306]~E(x3061,x3062)+E(f194(x3061),f194(x3062)) % 242.40/242.49 [307]~E(x3071,x3072)+E(f260(x3071,x3073),f260(x3072,x3073)) % 242.40/242.49 [308]~E(x3081,x3082)+E(f260(x3083,x3081),f260(x3083,x3082)) % 242.40/242.49 [309]~E(x3091,x3092)+E(f118(x3091),f118(x3092)) % 242.40/242.49 [310]~E(x3101,x3102)+E(f653(x3101,x3103,x3104,x3105),f653(x3102,x3103,x3104,x3105)) % 242.40/242.49 [311]~E(x3111,x3112)+E(f653(x3113,x3111,x3114,x3115),f653(x3113,x3112,x3114,x3115)) % 242.40/242.49 [312]~E(x3121,x3122)+E(f653(x3123,x3124,x3121,x3125),f653(x3123,x3124,x3122,x3125)) % 242.40/242.49 [313]~E(x3131,x3132)+E(f653(x3133,x3134,x3135,x3131),f653(x3133,x3134,x3135,x3132)) % 242.40/242.49 [314]~E(x3141,x3142)+E(f839(x3141,x3143),f839(x3142,x3143)) % 242.40/242.49 [315]~E(x3151,x3152)+E(f839(x3153,x3151),f839(x3153,x3152)) % 242.40/242.49 [316]~E(x3161,x3162)+E(f286(x3161),f286(x3162)) % 242.40/242.49 [317]~E(x3171,x3172)+E(f18(x3171,x3173,x3174),f18(x3172,x3173,x3174)) % 242.40/242.49 [318]~E(x3181,x3182)+E(f18(x3183,x3181,x3184),f18(x3183,x3182,x3184)) % 242.40/242.49 [319]~E(x3191,x3192)+E(f18(x3193,x3194,x3191),f18(x3193,x3194,x3192)) % 242.40/242.49 [320]~E(x3201,x3202)+E(f938(x3201,x3203),f938(x3202,x3203)) % 242.40/242.49 [321]~E(x3211,x3212)+E(f938(x3213,x3211),f938(x3213,x3212)) % 242.40/242.49 [322]~E(x3221,x3222)+E(f935(x3221,x3223),f935(x3222,x3223)) % 242.40/242.49 [323]~E(x3231,x3232)+E(f935(x3233,x3231),f935(x3233,x3232)) % 242.40/242.49 [324]~E(x3241,x3242)+E(f170(x3241),f170(x3242)) % 242.40/242.49 [325]~E(x3251,x3252)+E(f65(x3251,x3253),f65(x3252,x3253)) % 242.40/242.49 [326]~E(x3261,x3262)+E(f65(x3263,x3261),f65(x3263,x3262)) % 242.40/242.49 [327]~E(x3271,x3272)+E(f778(x3271,x3273,x3274),f778(x3272,x3273,x3274)) % 242.40/242.49 [328]~E(x3281,x3282)+E(f778(x3283,x3281,x3284),f778(x3283,x3282,x3284)) % 242.40/242.49 [329]~E(x3291,x3292)+E(f778(x3293,x3294,x3291),f778(x3293,x3294,x3292)) % 242.40/242.49 [330]~E(x3301,x3302)+E(f137(x3301),f137(x3302)) % 242.40/242.49 [331]~E(x3311,x3312)+E(f174(x3311),f174(x3312)) % 242.40/242.49 [332]~E(x3321,x3322)+E(f803(x3321,x3323,x3324,x3325),f803(x3322,x3323,x3324,x3325)) % 242.40/242.49 [333]~E(x3331,x3332)+E(f803(x3333,x3331,x3334,x3335),f803(x3333,x3332,x3334,x3335)) % 242.40/242.49 [334]~E(x3341,x3342)+E(f803(x3343,x3344,x3341,x3345),f803(x3343,x3344,x3342,x3345)) % 242.40/242.49 [335]~E(x3351,x3352)+E(f803(x3353,x3354,x3355,x3351),f803(x3353,x3354,x3355,x3352)) % 242.40/242.49 [336]~E(x3361,x3362)+E(f182(x3361,x3363),f182(x3362,x3363)) % 242.40/242.49 [337]~E(x3371,x3372)+E(f182(x3373,x3371),f182(x3373,x3372)) % 242.40/242.49 [338]~E(x3381,x3382)+E(f261(x3381,x3383,x3384),f261(x3382,x3383,x3384)) % 242.40/242.49 [339]~E(x3391,x3392)+E(f261(x3393,x3391,x3394),f261(x3393,x3392,x3394)) % 242.40/242.49 [340]~E(x3401,x3402)+E(f261(x3403,x3404,x3401),f261(x3403,x3404,x3402)) % 242.40/242.49 [341]~E(x3411,x3412)+E(f885(x3411,x3413),f885(x3412,x3413)) % 242.40/242.49 [342]~E(x3421,x3422)+E(f885(x3423,x3421),f885(x3423,x3422)) % 242.40/242.49 [343]~E(x3431,x3432)+E(f288(x3431,x3433),f288(x3432,x3433)) % 242.40/242.49 [344]~E(x3441,x3442)+E(f288(x3443,x3441),f288(x3443,x3442)) % 242.40/242.49 [345]~E(x3451,x3452)+E(f519(x3451,x3453,x3454,x3455,x3456,x3457),f519(x3452,x3453,x3454,x3455,x3456,x3457)) % 242.40/242.49 [346]~E(x3461,x3462)+E(f519(x3463,x3461,x3464,x3465,x3466,x3467),f519(x3463,x3462,x3464,x3465,x3466,x3467)) % 242.40/242.49 [347]~E(x3471,x3472)+E(f519(x3473,x3474,x3471,x3475,x3476,x3477),f519(x3473,x3474,x3472,x3475,x3476,x3477)) % 242.40/242.49 [348]~E(x3481,x3482)+E(f519(x3483,x3484,x3485,x3481,x3486,x3487),f519(x3483,x3484,x3485,x3482,x3486,x3487)) % 242.40/242.49 [349]~E(x3491,x3492)+E(f519(x3493,x3494,x3495,x3496,x3491,x3497),f519(x3493,x3494,x3495,x3496,x3492,x3497)) % 242.40/242.49 [350]~E(x3501,x3502)+E(f519(x3503,x3504,x3505,x3506,x3507,x3501),f519(x3503,x3504,x3505,x3506,x3507,x3502)) % 242.40/242.49 [351]~E(x3511,x3512)+E(f88(x3511,x3513),f88(x3512,x3513)) % 242.40/242.49 [352]~E(x3521,x3522)+E(f88(x3523,x3521),f88(x3523,x3522)) % 242.40/242.49 [353]~E(x3531,x3532)+E(f290(x3531,x3533),f290(x3532,x3533)) % 242.40/242.49 [354]~E(x3541,x3542)+E(f290(x3543,x3541),f290(x3543,x3542)) % 242.40/242.49 [355]~E(x3551,x3552)+E(f430(x3551,x3553,x3554,x3555,x3556),f430(x3552,x3553,x3554,x3555,x3556)) % 242.40/242.49 [356]~E(x3561,x3562)+E(f430(x3563,x3561,x3564,x3565,x3566),f430(x3563,x3562,x3564,x3565,x3566)) % 242.40/242.49 [357]~E(x3571,x3572)+E(f430(x3573,x3574,x3571,x3575,x3576),f430(x3573,x3574,x3572,x3575,x3576)) % 242.40/242.49 [358]~E(x3581,x3582)+E(f430(x3583,x3584,x3585,x3581,x3586),f430(x3583,x3584,x3585,x3582,x3586)) % 242.40/242.49 [359]~E(x3591,x3592)+E(f430(x3593,x3594,x3595,x3596,x3591),f430(x3593,x3594,x3595,x3596,x3592)) % 242.40/242.49 [360]~E(x3601,x3602)+E(f186(x3601,x3603),f186(x3602,x3603)) % 242.40/242.49 [361]~E(x3611,x3612)+E(f186(x3613,x3611),f186(x3613,x3612)) % 242.40/242.49 [362]~E(x3621,x3622)+E(f289(x3621,x3623,x3624),f289(x3622,x3623,x3624)) % 242.40/242.49 [363]~E(x3631,x3632)+E(f289(x3633,x3631,x3634),f289(x3633,x3632,x3634)) % 242.40/242.49 [364]~E(x3641,x3642)+E(f289(x3643,x3644,x3641),f289(x3643,x3644,x3642)) % 242.40/242.49 [365]~E(x3651,x3652)+E(f750(x3651,x3653),f750(x3652,x3653)) % 242.40/242.49 [366]~E(x3661,x3662)+E(f750(x3663,x3661),f750(x3663,x3662)) % 242.40/242.49 [367]~E(x3671,x3672)+E(f321(x3671,x3673),f321(x3672,x3673)) % 242.40/242.49 [368]~E(x3681,x3682)+E(f321(x3683,x3681),f321(x3683,x3682)) % 242.40/242.49 [369]~E(x3691,x3692)+E(f809(x3691,x3693,x3694,x3695,x3696,x3697,x3698),f809(x3692,x3693,x3694,x3695,x3696,x3697,x3698)) % 242.40/242.49 [370]~E(x3701,x3702)+E(f809(x3703,x3701,x3704,x3705,x3706,x3707,x3708),f809(x3703,x3702,x3704,x3705,x3706,x3707,x3708)) % 242.40/242.49 [371]~E(x3711,x3712)+E(f809(x3713,x3714,x3711,x3715,x3716,x3717,x3718),f809(x3713,x3714,x3712,x3715,x3716,x3717,x3718)) % 242.40/242.49 [372]~E(x3721,x3722)+E(f809(x3723,x3724,x3725,x3721,x3726,x3727,x3728),f809(x3723,x3724,x3725,x3722,x3726,x3727,x3728)) % 242.40/242.49 [373]~E(x3731,x3732)+E(f809(x3733,x3734,x3735,x3736,x3731,x3737,x3738),f809(x3733,x3734,x3735,x3736,x3732,x3737,x3738)) % 242.40/242.49 [374]~E(x3741,x3742)+E(f809(x3743,x3744,x3745,x3746,x3747,x3741,x3748),f809(x3743,x3744,x3745,x3746,x3747,x3742,x3748)) % 242.40/242.49 [375]~E(x3751,x3752)+E(f809(x3753,x3754,x3755,x3756,x3757,x3758,x3751),f809(x3753,x3754,x3755,x3756,x3757,x3758,x3752)) % 242.40/242.49 [376]~E(x3761,x3762)+E(f489(x3761,x3763,x3764),f489(x3762,x3763,x3764)) % 242.40/242.49 [377]~E(x3771,x3772)+E(f489(x3773,x3771,x3774),f489(x3773,x3772,x3774)) % 242.40/242.49 [378]~E(x3781,x3782)+E(f489(x3783,x3784,x3781),f489(x3783,x3784,x3782)) % 242.40/242.49 [379]~E(x3791,x3792)+E(f743(x3791,x3793,x3794,x3795),f743(x3792,x3793,x3794,x3795)) % 242.40/242.49 [380]~E(x3801,x3802)+E(f743(x3803,x3801,x3804,x3805),f743(x3803,x3802,x3804,x3805)) % 242.40/242.49 [381]~E(x3811,x3812)+E(f743(x3813,x3814,x3811,x3815),f743(x3813,x3814,x3812,x3815)) % 242.40/242.49 [382]~E(x3821,x3822)+E(f743(x3823,x3824,x3825,x3821),f743(x3823,x3824,x3825,x3822)) % 242.40/242.49 [383]~E(x3831,x3832)+E(f147(x3831,x3833),f147(x3832,x3833)) % 242.40/242.49 [384]~E(x3841,x3842)+E(f147(x3843,x3841),f147(x3843,x3842)) % 242.40/242.49 [385]~E(x3851,x3852)+E(f440(x3851,x3853,x3854,x3855),f440(x3852,x3853,x3854,x3855)) % 242.40/242.49 [386]~E(x3861,x3862)+E(f440(x3863,x3861,x3864,x3865),f440(x3863,x3862,x3864,x3865)) % 242.40/242.49 [387]~E(x3871,x3872)+E(f440(x3873,x3874,x3871,x3875),f440(x3873,x3874,x3872,x3875)) % 242.40/242.49 [388]~E(x3881,x3882)+E(f440(x3883,x3884,x3885,x3881),f440(x3883,x3884,x3885,x3882)) % 242.40/242.49 [389]~E(x3891,x3892)+E(f230(x3891,x3893,x3894,x3895,x3896),f230(x3892,x3893,x3894,x3895,x3896)) % 242.40/242.49 [390]~E(x3901,x3902)+E(f230(x3903,x3901,x3904,x3905,x3906),f230(x3903,x3902,x3904,x3905,x3906)) % 242.40/242.49 [391]~E(x3911,x3912)+E(f230(x3913,x3914,x3911,x3915,x3916),f230(x3913,x3914,x3912,x3915,x3916)) % 242.40/242.49 [392]~E(x3921,x3922)+E(f230(x3923,x3924,x3925,x3921,x3926),f230(x3923,x3924,x3925,x3922,x3926)) % 242.40/242.49 [393]~E(x3931,x3932)+E(f230(x3933,x3934,x3935,x3936,x3931),f230(x3933,x3934,x3935,x3936,x3932)) % 242.40/242.49 [394]~E(x3941,x3942)+E(f252(x3941,x3943),f252(x3942,x3943)) % 242.40/242.49 [395]~E(x3951,x3952)+E(f252(x3953,x3951),f252(x3953,x3952)) % 242.40/242.49 [396]~E(x3961,x3962)+E(f384(x3961,x3963,x3964),f384(x3962,x3963,x3964)) % 242.40/242.49 [397]~E(x3971,x3972)+E(f384(x3973,x3971,x3974),f384(x3973,x3972,x3974)) % 242.40/242.49 [398]~E(x3981,x3982)+E(f384(x3983,x3984,x3981),f384(x3983,x3984,x3982)) % 242.40/242.49 [399]~E(x3991,x3992)+E(f87(x3991,x3993),f87(x3992,x3993)) % 242.40/242.49 [400]~E(x4001,x4002)+E(f87(x4003,x4001),f87(x4003,x4002)) % 242.40/242.49 [401]~E(x4011,x4012)+E(f792(x4011,x4013,x4014,x4015),f792(x4012,x4013,x4014,x4015)) % 242.40/242.49 [402]~E(x4021,x4022)+E(f792(x4023,x4021,x4024,x4025),f792(x4023,x4022,x4024,x4025)) % 242.40/242.49 [403]~E(x4031,x4032)+E(f792(x4033,x4034,x4031,x4035),f792(x4033,x4034,x4032,x4035)) % 242.40/242.49 [404]~E(x4041,x4042)+E(f792(x4043,x4044,x4045,x4041),f792(x4043,x4044,x4045,x4042)) % 242.40/242.49 [405]~E(x4051,x4052)+E(f267(x4051,x4053),f267(x4052,x4053)) % 242.40/242.49 [406]~E(x4061,x4062)+E(f267(x4063,x4061),f267(x4063,x4062)) % 242.40/242.49 [407]~E(x4071,x4072)+E(f319(x4071,x4073),f319(x4072,x4073)) % 242.40/242.49 [408]~E(x4081,x4082)+E(f319(x4083,x4081),f319(x4083,x4082)) % 242.40/242.49 [409]~E(x4091,x4092)+E(f150(x4091,x4093),f150(x4092,x4093)) % 242.40/242.49 [410]~E(x4101,x4102)+E(f150(x4103,x4101),f150(x4103,x4102)) % 242.40/242.49 [411]~E(x4111,x4112)+E(f369(x4111,x4113,x4114,x4115),f369(x4112,x4113,x4114,x4115)) % 242.40/242.49 [412]~E(x4121,x4122)+E(f369(x4123,x4121,x4124,x4125),f369(x4123,x4122,x4124,x4125)) % 242.40/242.49 [413]~E(x4131,x4132)+E(f369(x4133,x4134,x4131,x4135),f369(x4133,x4134,x4132,x4135)) % 242.40/242.49 [414]~E(x4141,x4142)+E(f369(x4143,x4144,x4145,x4141),f369(x4143,x4144,x4145,x4142)) % 242.40/242.49 [415]~E(x4151,x4152)+E(f188(x4151,x4153,x4154,x4155),f188(x4152,x4153,x4154,x4155)) % 242.40/242.49 [416]~E(x4161,x4162)+E(f188(x4163,x4161,x4164,x4165),f188(x4163,x4162,x4164,x4165)) % 242.40/242.49 [417]~E(x4171,x4172)+E(f188(x4173,x4174,x4171,x4175),f188(x4173,x4174,x4172,x4175)) % 242.40/242.49 [418]~E(x4181,x4182)+E(f188(x4183,x4184,x4185,x4181),f188(x4183,x4184,x4185,x4182)) % 242.40/242.49 [419]~E(x4191,x4192)+E(f78(x4191,x4193,x4194,x4195,x4196),f78(x4192,x4193,x4194,x4195,x4196)) % 242.40/242.49 [420]~E(x4201,x4202)+E(f78(x4203,x4201,x4204,x4205,x4206),f78(x4203,x4202,x4204,x4205,x4206)) % 242.40/242.49 [421]~E(x4211,x4212)+E(f78(x4213,x4214,x4211,x4215,x4216),f78(x4213,x4214,x4212,x4215,x4216)) % 242.40/242.49 [422]~E(x4221,x4222)+E(f78(x4223,x4224,x4225,x4221,x4226),f78(x4223,x4224,x4225,x4222,x4226)) % 242.40/242.49 [423]~E(x4231,x4232)+E(f78(x4233,x4234,x4235,x4236,x4231),f78(x4233,x4234,x4235,x4236,x4232)) % 242.40/242.49 [424]~E(x4241,x4242)+E(f122(x4241),f122(x4242)) % 242.40/242.49 [425]~E(x4251,x4252)+E(f123(x4251,x4253),f123(x4252,x4253)) % 242.40/242.49 [426]~E(x4261,x4262)+E(f123(x4263,x4261),f123(x4263,x4262)) % 242.40/242.49 [427]~E(x4271,x4272)+E(f672(x4271,x4273),f672(x4272,x4273)) % 242.40/242.49 [428]~E(x4281,x4282)+E(f672(x4283,x4281),f672(x4283,x4282)) % 242.40/242.49 [429]~E(x4291,x4292)+E(f877(x4291,x4293,x4294),f877(x4292,x4293,x4294)) % 242.40/242.49 [430]~E(x4301,x4302)+E(f877(x4303,x4301,x4304),f877(x4303,x4302,x4304)) % 242.40/242.49 [431]~E(x4311,x4312)+E(f877(x4313,x4314,x4311),f877(x4313,x4314,x4312)) % 242.40/242.49 [432]~E(x4321,x4322)+E(f685(x4321,x4323,x4324,x4325),f685(x4322,x4323,x4324,x4325)) % 242.40/242.49 [433]~E(x4331,x4332)+E(f685(x4333,x4331,x4334,x4335),f685(x4333,x4332,x4334,x4335)) % 242.40/242.49 [434]~E(x4341,x4342)+E(f685(x4343,x4344,x4341,x4345),f685(x4343,x4344,x4342,x4345)) % 242.40/242.49 [435]~E(x4351,x4352)+E(f685(x4353,x4354,x4355,x4351),f685(x4353,x4354,x4355,x4352)) % 242.40/242.49 [436]~E(x4361,x4362)+E(f391(x4361,x4363,x4364,x4365),f391(x4362,x4363,x4364,x4365)) % 242.40/242.49 [437]~E(x4371,x4372)+E(f391(x4373,x4371,x4374,x4375),f391(x4373,x4372,x4374,x4375)) % 242.40/242.49 [438]~E(x4381,x4382)+E(f391(x4383,x4384,x4381,x4385),f391(x4383,x4384,x4382,x4385)) % 242.40/242.49 [439]~E(x4391,x4392)+E(f391(x4393,x4394,x4395,x4391),f391(x4393,x4394,x4395,x4392)) % 242.40/242.49 [440]~E(x4401,x4402)+E(f145(x4401,x4403,x4404,x4405),f145(x4402,x4403,x4404,x4405)) % 242.40/242.49 [441]~E(x4411,x4412)+E(f145(x4413,x4411,x4414,x4415),f145(x4413,x4412,x4414,x4415)) % 242.40/242.49 [442]~E(x4421,x4422)+E(f145(x4423,x4424,x4421,x4425),f145(x4423,x4424,x4422,x4425)) % 242.40/242.49 [443]~E(x4431,x4432)+E(f145(x4433,x4434,x4435,x4431),f145(x4433,x4434,x4435,x4432)) % 242.40/242.49 [444]~E(x4441,x4442)+E(f13(x4441,x4443),f13(x4442,x4443)) % 242.40/242.49 [445]~E(x4451,x4452)+E(f13(x4453,x4451),f13(x4453,x4452)) % 242.40/242.49 [446]~E(x4461,x4462)+E(f92(x4461,x4463),f92(x4462,x4463)) % 242.40/242.49 [447]~E(x4471,x4472)+E(f92(x4473,x4471),f92(x4473,x4472)) % 242.40/242.49 [448]~E(x4481,x4482)+E(f181(x4481,x4483),f181(x4482,x4483)) % 242.40/242.49 [449]~E(x4491,x4492)+E(f181(x4493,x4491),f181(x4493,x4492)) % 242.40/242.49 [450]~E(x4501,x4502)+E(f156(x4501,x4503),f156(x4502,x4503)) % 242.40/242.49 [451]~E(x4511,x4512)+E(f156(x4513,x4511),f156(x4513,x4512)) % 242.40/242.49 [452]~E(x4521,x4522)+E(f37(x4521),f37(x4522)) % 242.40/242.49 [453]~E(x4531,x4532)+E(f224(x4531,x4533,x4534,x4535),f224(x4532,x4533,x4534,x4535)) % 242.40/242.49 [454]~E(x4541,x4542)+E(f224(x4543,x4541,x4544,x4545),f224(x4543,x4542,x4544,x4545)) % 242.40/242.49 [455]~E(x4551,x4552)+E(f224(x4553,x4554,x4551,x4555),f224(x4553,x4554,x4552,x4555)) % 242.40/242.49 [456]~E(x4561,x4562)+E(f224(x4563,x4564,x4565,x4561),f224(x4563,x4564,x4565,x4562)) % 242.40/242.49 [457]~E(x4571,x4572)+E(f612(x4571,x4573,x4574,x4575),f612(x4572,x4573,x4574,x4575)) % 242.40/242.49 [458]~E(x4581,x4582)+E(f612(x4583,x4581,x4584,x4585),f612(x4583,x4582,x4584,x4585)) % 242.40/242.49 [459]~E(x4591,x4592)+E(f612(x4593,x4594,x4591,x4595),f612(x4593,x4594,x4592,x4595)) % 242.40/242.49 [460]~E(x4601,x4602)+E(f612(x4603,x4604,x4605,x4601),f612(x4603,x4604,x4605,x4602)) % 242.40/242.49 [461]~E(x4611,x4612)+E(f661(x4611,x4613,x4614,x4615),f661(x4612,x4613,x4614,x4615)) % 242.40/242.49 [462]~E(x4621,x4622)+E(f661(x4623,x4621,x4624,x4625),f661(x4623,x4622,x4624,x4625)) % 242.40/242.49 [463]~E(x4631,x4632)+E(f661(x4633,x4634,x4631,x4635),f661(x4633,x4634,x4632,x4635)) % 242.40/242.49 [464]~E(x4641,x4642)+E(f661(x4643,x4644,x4645,x4641),f661(x4643,x4644,x4645,x4642)) % 242.40/242.49 [465]~E(x4651,x4652)+E(f875(x4651,x4653,x4654),f875(x4652,x4653,x4654)) % 242.40/242.49 [466]~E(x4661,x4662)+E(f875(x4663,x4661,x4664),f875(x4663,x4662,x4664)) % 242.40/242.49 [467]~E(x4671,x4672)+E(f875(x4673,x4674,x4671),f875(x4673,x4674,x4672)) % 242.40/242.49 [468]~E(x4681,x4682)+E(f50(x4681,x4683),f50(x4682,x4683)) % 242.40/242.49 [469]~E(x4691,x4692)+E(f50(x4693,x4691),f50(x4693,x4692)) % 242.40/242.49 [470]~E(x4701,x4702)+E(f142(x4701,x4703),f142(x4702,x4703)) % 242.40/242.49 [471]~E(x4711,x4712)+E(f142(x4713,x4711),f142(x4713,x4712)) % 242.40/242.49 [472]~E(x4721,x4722)+E(f141(x4721),f141(x4722)) % 242.40/242.49 [473]~E(x4731,x4732)+E(f152(x4731,x4733,x4734,x4735,x4736),f152(x4732,x4733,x4734,x4735,x4736)) % 242.40/242.49 [474]~E(x4741,x4742)+E(f152(x4743,x4741,x4744,x4745,x4746),f152(x4743,x4742,x4744,x4745,x4746)) % 242.40/242.49 [475]~E(x4751,x4752)+E(f152(x4753,x4754,x4751,x4755,x4756),f152(x4753,x4754,x4752,x4755,x4756)) % 242.40/242.49 [476]~E(x4761,x4762)+E(f152(x4763,x4764,x4765,x4761,x4766),f152(x4763,x4764,x4765,x4762,x4766)) % 242.40/242.49 [477]~E(x4771,x4772)+E(f152(x4773,x4774,x4775,x4776,x4771),f152(x4773,x4774,x4775,x4776,x4772)) % 242.40/242.49 [478]~E(x4781,x4782)+E(f93(x4781),f93(x4782)) % 242.40/242.49 [479]~E(x4791,x4792)+E(f272(x4791,x4793),f272(x4792,x4793)) % 242.40/242.49 [480]~E(x4801,x4802)+E(f272(x4803,x4801),f272(x4803,x4802)) % 242.40/242.49 [481]~E(x4811,x4812)+E(f140(x4811),f140(x4812)) % 242.40/242.49 [482]~E(x4821,x4822)+E(f9(x4821,x4823),f9(x4822,x4823)) % 242.40/242.49 [483]~E(x4831,x4832)+E(f9(x4833,x4831),f9(x4833,x4832)) % 242.40/242.49 [484]~E(x4841,x4842)+E(f314(x4841,x4843,x4844),f314(x4842,x4843,x4844)) % 242.40/242.49 [485]~E(x4851,x4852)+E(f314(x4853,x4851,x4854),f314(x4853,x4852,x4854)) % 242.40/242.49 [486]~E(x4861,x4862)+E(f314(x4863,x4864,x4861),f314(x4863,x4864,x4862)) % 242.40/242.49 [487]~E(x4871,x4872)+E(f567(x4871,x4873),f567(x4872,x4873)) % 242.40/242.49 [488]~E(x4881,x4882)+E(f567(x4883,x4881),f567(x4883,x4882)) % 242.40/242.49 [489]~E(x4891,x4892)+E(f708(x4891,x4893,x4894,x4895),f708(x4892,x4893,x4894,x4895)) % 242.40/242.49 [490]~E(x4901,x4902)+E(f708(x4903,x4901,x4904,x4905),f708(x4903,x4902,x4904,x4905)) % 242.40/242.49 [491]~E(x4911,x4912)+E(f708(x4913,x4914,x4911,x4915),f708(x4913,x4914,x4912,x4915)) % 242.40/242.49 [492]~E(x4921,x4922)+E(f708(x4923,x4924,x4925,x4921),f708(x4923,x4924,x4925,x4922)) % 242.40/242.49 [493]~E(x4931,x4932)+E(f836(x4931,x4933,x4934,x4935,x4936,x4937),f836(x4932,x4933,x4934,x4935,x4936,x4937)) % 242.40/242.49 [494]~E(x4941,x4942)+E(f836(x4943,x4941,x4944,x4945,x4946,x4947),f836(x4943,x4942,x4944,x4945,x4946,x4947)) % 242.40/242.49 [495]~E(x4951,x4952)+E(f836(x4953,x4954,x4951,x4955,x4956,x4957),f836(x4953,x4954,x4952,x4955,x4956,x4957)) % 242.40/242.49 [496]~E(x4961,x4962)+E(f836(x4963,x4964,x4965,x4961,x4966,x4967),f836(x4963,x4964,x4965,x4962,x4966,x4967)) % 242.40/242.49 [497]~E(x4971,x4972)+E(f836(x4973,x4974,x4975,x4976,x4971,x4977),f836(x4973,x4974,x4975,x4976,x4972,x4977)) % 242.40/242.49 [498]~E(x4981,x4982)+E(f836(x4983,x4984,x4985,x4986,x4987,x4981),f836(x4983,x4984,x4985,x4986,x4987,x4982)) % 242.40/242.49 [499]~E(x4991,x4992)+E(f32(x4991,x4993),f32(x4992,x4993)) % 242.40/242.49 [500]~E(x5001,x5002)+E(f32(x5003,x5001),f32(x5003,x5002)) % 242.40/242.49 [501]~E(x5011,x5012)+E(f163(x5011,x5013),f163(x5012,x5013)) % 242.40/242.49 [502]~E(x5021,x5022)+E(f163(x5023,x5021),f163(x5023,x5022)) % 242.40/242.49 [503]~E(x5031,x5032)+E(f442(x5031,x5033,x5034,x5035),f442(x5032,x5033,x5034,x5035)) % 242.40/242.49 [504]~E(x5041,x5042)+E(f442(x5043,x5041,x5044,x5045),f442(x5043,x5042,x5044,x5045)) % 242.40/242.49 [505]~E(x5051,x5052)+E(f442(x5053,x5054,x5051,x5055),f442(x5053,x5054,x5052,x5055)) % 242.40/242.49 [506]~E(x5061,x5062)+E(f442(x5063,x5064,x5065,x5061),f442(x5063,x5064,x5065,x5062)) % 242.40/242.49 [507]~E(x5071,x5072)+E(f89(x5071),f89(x5072)) % 242.40/242.49 [508]~E(x5081,x5082)+E(f698(x5081,x5083,x5084),f698(x5082,x5083,x5084)) % 242.40/242.49 [509]~E(x5091,x5092)+E(f698(x5093,x5091,x5094),f698(x5093,x5092,x5094)) % 242.40/242.49 [510]~E(x5101,x5102)+E(f698(x5103,x5104,x5101),f698(x5103,x5104,x5102)) % 242.40/242.49 [511]~E(x5111,x5112)+E(f315(x5111,x5113),f315(x5112,x5113)) % 242.40/242.49 [512]~E(x5121,x5122)+E(f315(x5123,x5121),f315(x5123,x5122)) % 242.40/242.49 [513]~E(x5131,x5132)+E(f697(x5131,x5133),f697(x5132,x5133)) % 242.40/242.49 [514]~E(x5141,x5142)+E(f697(x5143,x5141),f697(x5143,x5142)) % 242.40/242.49 [515]~E(x5151,x5152)+E(f599(x5151,x5153,x5154),f599(x5152,x5153,x5154)) % 242.40/242.49 [516]~E(x5161,x5162)+E(f599(x5163,x5161,x5164),f599(x5163,x5162,x5164)) % 242.40/242.49 [517]~E(x5171,x5172)+E(f599(x5173,x5174,x5171),f599(x5173,x5174,x5172)) % 242.40/242.49 [518]~E(x5181,x5182)+E(f10(x5181,x5183),f10(x5182,x5183)) % 242.40/242.49 [519]~E(x5191,x5192)+E(f10(x5193,x5191),f10(x5193,x5192)) % 242.40/242.49 [520]~E(x5201,x5202)+E(f385(x5201,x5203,x5204),f385(x5202,x5203,x5204)) % 242.40/242.49 [521]~E(x5211,x5212)+E(f385(x5213,x5211,x5214),f385(x5213,x5212,x5214)) % 242.40/242.49 [522]~E(x5221,x5222)+E(f385(x5223,x5224,x5221),f385(x5223,x5224,x5222)) % 242.40/242.49 [523]~E(x5231,x5232)+E(f59(x5231),f59(x5232)) % 242.40/242.49 [524]~E(x5241,x5242)+E(f878(x5241,x5243,x5244),f878(x5242,x5243,x5244)) % 242.40/242.49 [525]~E(x5251,x5252)+E(f878(x5253,x5251,x5254),f878(x5253,x5252,x5254)) % 242.40/242.49 [526]~E(x5261,x5262)+E(f878(x5263,x5264,x5261),f878(x5263,x5264,x5262)) % 242.40/242.49 [527]~E(x5271,x5272)+E(f923(x5271,x5273),f923(x5272,x5273)) % 242.40/242.49 [528]~E(x5281,x5282)+E(f923(x5283,x5281),f923(x5283,x5282)) % 242.40/242.49 [529]~E(x5291,x5292)+E(f121(x5291,x5293,x5294),f121(x5292,x5293,x5294)) % 242.40/242.49 [530]~E(x5301,x5302)+E(f121(x5303,x5301,x5304),f121(x5303,x5302,x5304)) % 242.40/242.49 [531]~E(x5311,x5312)+E(f121(x5313,x5314,x5311),f121(x5313,x5314,x5312)) % 242.40/242.49 [532]~E(x5321,x5322)+E(f42(x5321,x5323),f42(x5322,x5323)) % 242.40/242.49 [533]~E(x5331,x5332)+E(f42(x5333,x5331),f42(x5333,x5332)) % 242.40/242.49 [534]~E(x5341,x5342)+E(f915(x5341,x5343,x5344,x5345),f915(x5342,x5343,x5344,x5345)) % 242.40/242.49 [535]~E(x5351,x5352)+E(f915(x5353,x5351,x5354,x5355),f915(x5353,x5352,x5354,x5355)) % 242.40/242.49 [536]~E(x5361,x5362)+E(f915(x5363,x5364,x5361,x5365),f915(x5363,x5364,x5362,x5365)) % 242.40/242.49 [537]~E(x5371,x5372)+E(f915(x5373,x5374,x5375,x5371),f915(x5373,x5374,x5375,x5372)) % 242.40/242.49 [538]~E(x5381,x5382)+E(f317(x5381),f317(x5382)) % 242.40/242.49 [539]~E(x5391,x5392)+E(f57(x5391,x5393,x5394),f57(x5392,x5393,x5394)) % 242.40/242.49 [540]~E(x5401,x5402)+E(f57(x5403,x5401,x5404),f57(x5403,x5402,x5404)) % 242.40/242.49 [541]~E(x5411,x5412)+E(f57(x5413,x5414,x5411),f57(x5413,x5414,x5412)) % 242.40/242.49 [542]~E(x5421,x5422)+E(f144(x5421),f144(x5422)) % 242.40/242.49 [543]~E(x5431,x5432)+E(f436(x5431,x5433,x5434),f436(x5432,x5433,x5434)) % 242.40/242.49 [544]~E(x5441,x5442)+E(f436(x5443,x5441,x5444),f436(x5443,x5442,x5444)) % 242.40/242.49 [545]~E(x5451,x5452)+E(f436(x5453,x5454,x5451),f436(x5453,x5454,x5452)) % 242.40/242.49 [546]~E(x5461,x5462)+E(f626(x5461,x5463,x5464,x5465,x5466),f626(x5462,x5463,x5464,x5465,x5466)) % 242.40/242.49 [547]~E(x5471,x5472)+E(f626(x5473,x5471,x5474,x5475,x5476),f626(x5473,x5472,x5474,x5475,x5476)) % 242.40/242.49 [548]~E(x5481,x5482)+E(f626(x5483,x5484,x5481,x5485,x5486),f626(x5483,x5484,x5482,x5485,x5486)) % 242.40/242.49 [549]~E(x5491,x5492)+E(f626(x5493,x5494,x5495,x5491,x5496),f626(x5493,x5494,x5495,x5492,x5496)) % 242.40/242.49 [550]~E(x5501,x5502)+E(f626(x5503,x5504,x5505,x5506,x5501),f626(x5503,x5504,x5505,x5506,x5502)) % 242.40/242.49 [551]~E(x5511,x5512)+E(f311(x5511),f311(x5512)) % 242.40/242.49 [552]~E(x5521,x5522)+E(f678(x5521,x5523,x5524),f678(x5522,x5523,x5524)) % 242.40/242.49 [553]~E(x5531,x5532)+E(f678(x5533,x5531,x5534),f678(x5533,x5532,x5534)) % 242.40/242.49 [554]~E(x5541,x5542)+E(f678(x5543,x5544,x5541),f678(x5543,x5544,x5542)) % 242.40/242.49 [555]~E(x5551,x5552)+E(f379(x5551,x5553),f379(x5552,x5553)) % 242.40/242.49 [556]~E(x5561,x5562)+E(f379(x5563,x5561),f379(x5563,x5562)) % 242.40/242.49 [557]~E(x5571,x5572)+E(f483(x5571,x5573,x5574,x5575),f483(x5572,x5573,x5574,x5575)) % 242.40/242.49 [558]~E(x5581,x5582)+E(f483(x5583,x5581,x5584,x5585),f483(x5583,x5582,x5584,x5585)) % 242.40/242.49 [559]~E(x5591,x5592)+E(f483(x5593,x5594,x5591,x5595),f483(x5593,x5594,x5592,x5595)) % 242.40/242.49 [560]~E(x5601,x5602)+E(f483(x5603,x5604,x5605,x5601),f483(x5603,x5604,x5605,x5602)) % 242.40/242.49 [561]~E(x5611,x5612)+E(f51(x5611,x5613),f51(x5612,x5613)) % 242.40/242.49 [562]~E(x5621,x5622)+E(f51(x5623,x5621),f51(x5623,x5622)) % 242.40/242.49 [563]~E(x5631,x5632)+E(f857(x5631,x5633,x5634,x5635,x5636,x5637,x5638,x5639),f857(x5632,x5633,x5634,x5635,x5636,x5637,x5638,x5639)) % 242.40/242.49 [564]~E(x5641,x5642)+E(f857(x5643,x5641,x5644,x5645,x5646,x5647,x5648,x5649),f857(x5643,x5642,x5644,x5645,x5646,x5647,x5648,x5649)) % 242.40/242.49 [565]~E(x5651,x5652)+E(f857(x5653,x5654,x5651,x5655,x5656,x5657,x5658,x5659),f857(x5653,x5654,x5652,x5655,x5656,x5657,x5658,x5659)) % 242.40/242.49 [566]~E(x5661,x5662)+E(f857(x5663,x5664,x5665,x5661,x5666,x5667,x5668,x5669),f857(x5663,x5664,x5665,x5662,x5666,x5667,x5668,x5669)) % 242.40/242.49 [567]~E(x5671,x5672)+E(f857(x5673,x5674,x5675,x5676,x5671,x5677,x5678,x5679),f857(x5673,x5674,x5675,x5676,x5672,x5677,x5678,x5679)) % 242.40/242.49 [568]~E(x5681,x5682)+E(f857(x5683,x5684,x5685,x5686,x5687,x5681,x5688,x5689),f857(x5683,x5684,x5685,x5686,x5687,x5682,x5688,x5689)) % 242.40/242.49 [569]~E(x5691,x5692)+E(f857(x5693,x5694,x5695,x5696,x5697,x5698,x5691,x5699),f857(x5693,x5694,x5695,x5696,x5697,x5698,x5692,x5699)) % 242.40/242.49 [570]~E(x5701,x5702)+E(f857(x5703,x5704,x5705,x5706,x5707,x5708,x5709,x5701),f857(x5703,x5704,x5705,x5706,x5707,x5708,x5709,x5702)) % 242.40/242.49 [571]~E(x5711,x5712)+E(f447(x5711,x5713),f447(x5712,x5713)) % 242.40/242.49 [572]~E(x5721,x5722)+E(f447(x5723,x5721),f447(x5723,x5722)) % 242.40/242.49 [573]~E(x5731,x5732)+E(f757(x5731,x5733),f757(x5732,x5733)) % 242.40/242.49 [574]~E(x5741,x5742)+E(f757(x5743,x5741),f757(x5743,x5742)) % 242.40/242.49 [575]~E(x5751,x5752)+E(f913(x5751,x5753,x5754),f913(x5752,x5753,x5754)) % 242.40/242.49 [576]~E(x5761,x5762)+E(f913(x5763,x5761,x5764),f913(x5763,x5762,x5764)) % 242.40/242.49 [577]~E(x5771,x5772)+E(f913(x5773,x5774,x5771),f913(x5773,x5774,x5772)) % 242.40/242.49 [578]~E(x5781,x5782)+E(f287(x5781),f287(x5782)) % 242.40/242.49 [579]~E(x5791,x5792)+E(f274(x5791,x5793),f274(x5792,x5793)) % 242.40/242.49 [580]~E(x5801,x5802)+E(f274(x5803,x5801),f274(x5803,x5802)) % 242.40/242.49 [581]~E(x5811,x5812)+E(f112(x5811),f112(x5812)) % 242.40/242.49 [582]~E(x5821,x5822)+E(f337(x5821),f337(x5822)) % 242.40/242.49 [583]~E(x5831,x5832)+E(f838(x5831,x5833,x5834),f838(x5832,x5833,x5834)) % 242.40/242.49 [584]~E(x5841,x5842)+E(f838(x5843,x5841,x5844),f838(x5843,x5842,x5844)) % 242.40/242.49 [585]~E(x5851,x5852)+E(f838(x5853,x5854,x5851),f838(x5853,x5854,x5852)) % 242.40/242.49 [586]~E(x5861,x5862)+E(f639(x5861,x5863,x5864),f639(x5862,x5863,x5864)) % 242.40/242.49 [587]~E(x5871,x5872)+E(f639(x5873,x5871,x5874),f639(x5873,x5872,x5874)) % 242.40/242.49 [588]~E(x5881,x5882)+E(f639(x5883,x5884,x5881),f639(x5883,x5884,x5882)) % 242.40/242.49 [589]~E(x5891,x5892)+E(f451(x5891,x5893,x5894,x5895,x5896),f451(x5892,x5893,x5894,x5895,x5896)) % 242.40/242.49 [590]~E(x5901,x5902)+E(f451(x5903,x5901,x5904,x5905,x5906),f451(x5903,x5902,x5904,x5905,x5906)) % 242.40/242.49 [591]~E(x5911,x5912)+E(f451(x5913,x5914,x5911,x5915,x5916),f451(x5913,x5914,x5912,x5915,x5916)) % 242.40/242.49 [592]~E(x5921,x5922)+E(f451(x5923,x5924,x5925,x5921,x5926),f451(x5923,x5924,x5925,x5922,x5926)) % 242.40/242.49 [593]~E(x5931,x5932)+E(f451(x5933,x5934,x5935,x5936,x5931),f451(x5933,x5934,x5935,x5936,x5932)) % 242.40/242.49 [594]~E(x5941,x5942)+E(f742(x5941,x5943,x5944),f742(x5942,x5943,x5944)) % 242.40/242.49 [595]~E(x5951,x5952)+E(f742(x5953,x5951,x5954),f742(x5953,x5952,x5954)) % 242.40/242.49 [596]~E(x5961,x5962)+E(f742(x5963,x5964,x5961),f742(x5963,x5964,x5962)) % 242.40/242.49 [597]~E(x5971,x5972)+E(f763(x5971,x5973,x5974,x5975,x5976),f763(x5972,x5973,x5974,x5975,x5976)) % 242.40/242.49 [598]~E(x5981,x5982)+E(f763(x5983,x5981,x5984,x5985,x5986),f763(x5983,x5982,x5984,x5985,x5986)) % 242.40/242.49 [599]~E(x5991,x5992)+E(f763(x5993,x5994,x5991,x5995,x5996),f763(x5993,x5994,x5992,x5995,x5996)) % 242.40/242.49 [600]~E(x6001,x6002)+E(f763(x6003,x6004,x6005,x6001,x6006),f763(x6003,x6004,x6005,x6002,x6006)) % 242.40/242.49 [601]~E(x6011,x6012)+E(f763(x6013,x6014,x6015,x6016,x6011),f763(x6013,x6014,x6015,x6016,x6012)) % 242.40/242.49 [602]~E(x6021,x6022)+E(f593(x6021,x6023,x6024,x6025),f593(x6022,x6023,x6024,x6025)) % 242.40/242.49 [603]~E(x6031,x6032)+E(f593(x6033,x6031,x6034,x6035),f593(x6033,x6032,x6034,x6035)) % 242.40/242.49 [604]~E(x6041,x6042)+E(f593(x6043,x6044,x6041,x6045),f593(x6043,x6044,x6042,x6045)) % 242.40/242.49 [605]~E(x6051,x6052)+E(f593(x6053,x6054,x6055,x6051),f593(x6053,x6054,x6055,x6052)) % 242.40/242.49 [606]~E(x6061,x6062)+E(f647(x6061,x6063),f647(x6062,x6063)) % 242.40/242.49 [607]~E(x6071,x6072)+E(f647(x6073,x6071),f647(x6073,x6072)) % 242.40/242.49 [608]~E(x6081,x6082)+E(f437(x6081,x6083,x6084,x6085),f437(x6082,x6083,x6084,x6085)) % 242.40/242.49 [609]~E(x6091,x6092)+E(f437(x6093,x6091,x6094,x6095),f437(x6093,x6092,x6094,x6095)) % 242.40/242.49 [610]~E(x6101,x6102)+E(f437(x6103,x6104,x6101,x6105),f437(x6103,x6104,x6102,x6105)) % 242.40/242.49 [611]~E(x6111,x6112)+E(f437(x6113,x6114,x6115,x6111),f437(x6113,x6114,x6115,x6112)) % 242.40/242.49 [612]~E(x6121,x6122)+E(f850(x6121,x6123,x6124,x6125,x6126),f850(x6122,x6123,x6124,x6125,x6126)) % 242.40/242.49 [613]~E(x6131,x6132)+E(f850(x6133,x6131,x6134,x6135,x6136),f850(x6133,x6132,x6134,x6135,x6136)) % 242.40/242.49 [614]~E(x6141,x6142)+E(f850(x6143,x6144,x6141,x6145,x6146),f850(x6143,x6144,x6142,x6145,x6146)) % 242.40/242.49 [615]~E(x6151,x6152)+E(f850(x6153,x6154,x6155,x6151,x6156),f850(x6153,x6154,x6155,x6152,x6156)) % 242.40/242.49 [616]~E(x6161,x6162)+E(f850(x6163,x6164,x6165,x6166,x6161),f850(x6163,x6164,x6165,x6166,x6162)) % 242.40/242.49 [617]~E(x6171,x6172)+E(f716(x6171,x6173,x6174,x6175,x6176),f716(x6172,x6173,x6174,x6175,x6176)) % 242.40/242.49 [618]~E(x6181,x6182)+E(f716(x6183,x6181,x6184,x6185,x6186),f716(x6183,x6182,x6184,x6185,x6186)) % 242.40/242.49 [619]~E(x6191,x6192)+E(f716(x6193,x6194,x6191,x6195,x6196),f716(x6193,x6194,x6192,x6195,x6196)) % 242.40/242.49 [620]~E(x6201,x6202)+E(f716(x6203,x6204,x6205,x6201,x6206),f716(x6203,x6204,x6205,x6202,x6206)) % 242.40/242.49 [621]~E(x6211,x6212)+E(f716(x6213,x6214,x6215,x6216,x6211),f716(x6213,x6214,x6215,x6216,x6212)) % 242.40/242.49 [622]~E(x6221,x6222)+E(f128(x6221,x6223),f128(x6222,x6223)) % 242.40/242.49 [623]~E(x6231,x6232)+E(f128(x6233,x6231),f128(x6233,x6232)) % 242.40/242.49 [624]~E(x6241,x6242)+E(f709(x6241,x6243,x6244,x6245,x6246),f709(x6242,x6243,x6244,x6245,x6246)) % 242.40/242.49 [625]~E(x6251,x6252)+E(f709(x6253,x6251,x6254,x6255,x6256),f709(x6253,x6252,x6254,x6255,x6256)) % 242.40/242.49 [626]~E(x6261,x6262)+E(f709(x6263,x6264,x6261,x6265,x6266),f709(x6263,x6264,x6262,x6265,x6266)) % 242.40/242.49 [627]~E(x6271,x6272)+E(f709(x6273,x6274,x6275,x6271,x6276),f709(x6273,x6274,x6275,x6272,x6276)) % 242.40/242.49 [628]~E(x6281,x6282)+E(f709(x6283,x6284,x6285,x6286,x6281),f709(x6283,x6284,x6285,x6286,x6282)) % 242.40/242.49 [629]~E(x6291,x6292)+E(f433(x6291,x6293,x6294,x6295,x6296),f433(x6292,x6293,x6294,x6295,x6296)) % 242.40/242.49 [630]~E(x6301,x6302)+E(f433(x6303,x6301,x6304,x6305,x6306),f433(x6303,x6302,x6304,x6305,x6306)) % 242.40/242.49 [631]~E(x6311,x6312)+E(f433(x6313,x6314,x6311,x6315,x6316),f433(x6313,x6314,x6312,x6315,x6316)) % 242.40/242.49 [632]~E(x6321,x6322)+E(f433(x6323,x6324,x6325,x6321,x6326),f433(x6323,x6324,x6325,x6322,x6326)) % 242.40/242.49 [633]~E(x6331,x6332)+E(f433(x6333,x6334,x6335,x6336,x6331),f433(x6333,x6334,x6335,x6336,x6332)) % 242.40/242.49 [634]~E(x6341,x6342)+E(f431(x6341,x6343,x6344,x6345,x6346),f431(x6342,x6343,x6344,x6345,x6346)) % 242.40/242.49 [635]~E(x6351,x6352)+E(f431(x6353,x6351,x6354,x6355,x6356),f431(x6353,x6352,x6354,x6355,x6356)) % 242.40/242.49 [636]~E(x6361,x6362)+E(f431(x6363,x6364,x6361,x6365,x6366),f431(x6363,x6364,x6362,x6365,x6366)) % 242.40/242.49 [637]~E(x6371,x6372)+E(f431(x6373,x6374,x6375,x6371,x6376),f431(x6373,x6374,x6375,x6372,x6376)) % 242.40/242.49 [638]~E(x6381,x6382)+E(f431(x6383,x6384,x6385,x6386,x6381),f431(x6383,x6384,x6385,x6386,x6382)) % 242.40/242.49 [639]~E(x6391,x6392)+E(f308(x6391,x6393,x6394),f308(x6392,x6393,x6394)) % 242.40/242.49 [640]~E(x6401,x6402)+E(f308(x6403,x6401,x6404),f308(x6403,x6402,x6404)) % 242.40/242.49 [641]~E(x6411,x6412)+E(f308(x6413,x6414,x6411),f308(x6413,x6414,x6412)) % 242.40/242.49 [642]~E(x6421,x6422)+E(f96(x6421,x6423,x6424),f96(x6422,x6423,x6424)) % 242.40/242.49 [643]~E(x6431,x6432)+E(f96(x6433,x6431,x6434),f96(x6433,x6432,x6434)) % 242.40/242.49 [644]~E(x6441,x6442)+E(f96(x6443,x6444,x6441),f96(x6443,x6444,x6442)) % 242.40/242.49 [645]~E(x6451,x6452)+E(f94(x6451,x6453,x6454,x6455),f94(x6452,x6453,x6454,x6455)) % 242.40/242.49 [646]~E(x6461,x6462)+E(f94(x6463,x6461,x6464,x6465),f94(x6463,x6462,x6464,x6465)) % 242.40/242.49 [647]~E(x6471,x6472)+E(f94(x6473,x6474,x6471,x6475),f94(x6473,x6474,x6472,x6475)) % 242.40/242.49 [648]~E(x6481,x6482)+E(f94(x6483,x6484,x6485,x6481),f94(x6483,x6484,x6485,x6482)) % 242.40/242.49 [649]~E(x6491,x6492)+E(f453(x6491,x6493,x6494,x6495,x6496),f453(x6492,x6493,x6494,x6495,x6496)) % 242.40/242.49 [650]~E(x6501,x6502)+E(f453(x6503,x6501,x6504,x6505,x6506),f453(x6503,x6502,x6504,x6505,x6506)) % 242.40/242.49 [651]~E(x6511,x6512)+E(f453(x6513,x6514,x6511,x6515,x6516),f453(x6513,x6514,x6512,x6515,x6516)) % 242.40/242.49 [652]~E(x6521,x6522)+E(f453(x6523,x6524,x6525,x6521,x6526),f453(x6523,x6524,x6525,x6522,x6526)) % 242.40/242.49 [653]~E(x6531,x6532)+E(f453(x6533,x6534,x6535,x6536,x6531),f453(x6533,x6534,x6535,x6536,x6532)) % 242.40/242.49 [654]~E(x6541,x6542)+E(f547(x6541,x6543,x6544),f547(x6542,x6543,x6544)) % 242.40/242.49 [655]~E(x6551,x6552)+E(f547(x6553,x6551,x6554),f547(x6553,x6552,x6554)) % 242.40/242.49 [656]~E(x6561,x6562)+E(f547(x6563,x6564,x6561),f547(x6563,x6564,x6562)) % 242.40/242.49 [657]~E(x6571,x6572)+E(f557(x6571,x6573),f557(x6572,x6573)) % 242.40/242.49 [658]~E(x6581,x6582)+E(f557(x6583,x6581),f557(x6583,x6582)) % 242.40/242.49 [659]~E(x6591,x6592)+E(f719(x6591,x6593,x6594,x6595),f719(x6592,x6593,x6594,x6595)) % 242.40/242.49 [660]~E(x6601,x6602)+E(f719(x6603,x6601,x6604,x6605),f719(x6603,x6602,x6604,x6605)) % 242.40/242.49 [661]~E(x6611,x6612)+E(f719(x6613,x6614,x6611,x6615),f719(x6613,x6614,x6612,x6615)) % 242.40/242.49 [662]~E(x6621,x6622)+E(f719(x6623,x6624,x6625,x6621),f719(x6623,x6624,x6625,x6622)) % 242.40/242.49 [663]~E(x6631,x6632)+E(f638(x6631,x6633,x6634),f638(x6632,x6633,x6634)) % 242.40/242.49 [664]~E(x6641,x6642)+E(f638(x6643,x6641,x6644),f638(x6643,x6642,x6644)) % 242.40/242.49 [665]~E(x6651,x6652)+E(f638(x6653,x6654,x6651),f638(x6653,x6654,x6652)) % 242.40/242.49 [666]~E(x6661,x6662)+E(f831(x6661),f831(x6662)) % 242.40/242.49 [667]~E(x6671,x6672)+E(f656(x6671,x6673,x6674),f656(x6672,x6673,x6674)) % 242.40/242.49 [668]~E(x6681,x6682)+E(f656(x6683,x6681,x6684),f656(x6683,x6682,x6684)) % 242.40/242.49 [669]~E(x6691,x6692)+E(f656(x6693,x6694,x6691),f656(x6693,x6694,x6692)) % 242.40/242.49 [670]~E(x6701,x6702)+E(f159(x6701,x6703,x6704,x6705),f159(x6702,x6703,x6704,x6705)) % 242.40/242.49 [671]~E(x6711,x6712)+E(f159(x6713,x6711,x6714,x6715),f159(x6713,x6712,x6714,x6715)) % 242.40/242.49 [672]~E(x6721,x6722)+E(f159(x6723,x6724,x6721,x6725),f159(x6723,x6724,x6722,x6725)) % 242.40/242.49 [673]~E(x6731,x6732)+E(f159(x6733,x6734,x6735,x6731),f159(x6733,x6734,x6735,x6732)) % 242.40/242.49 [674]~E(x6741,x6742)+E(f728(x6741,x6743),f728(x6742,x6743)) % 242.40/242.49 [675]~E(x6751,x6752)+E(f728(x6753,x6751),f728(x6753,x6752)) % 242.40/242.49 [676]~E(x6761,x6762)+E(f216(x6761),f216(x6762)) % 242.40/242.49 [677]~E(x6771,x6772)+E(f682(x6771,x6773,x6774,x6775),f682(x6772,x6773,x6774,x6775)) % 242.40/242.49 [678]~E(x6781,x6782)+E(f682(x6783,x6781,x6784,x6785),f682(x6783,x6782,x6784,x6785)) % 242.40/242.49 [679]~E(x6791,x6792)+E(f682(x6793,x6794,x6791,x6795),f682(x6793,x6794,x6792,x6795)) % 242.40/242.49 [680]~E(x6801,x6802)+E(f682(x6803,x6804,x6805,x6801),f682(x6803,x6804,x6805,x6802)) % 242.40/242.49 [681]~E(x6811,x6812)+E(f870(x6811,x6813,x6814),f870(x6812,x6813,x6814)) % 242.40/242.49 [682]~E(x6821,x6822)+E(f870(x6823,x6821,x6824),f870(x6823,x6822,x6824)) % 242.40/242.49 [683]~E(x6831,x6832)+E(f870(x6833,x6834,x6831),f870(x6833,x6834,x6832)) % 242.40/242.49 [684]~E(x6841,x6842)+E(f903(x6841,x6843,x6844,x6845),f903(x6842,x6843,x6844,x6845)) % 242.40/242.49 [685]~E(x6851,x6852)+E(f903(x6853,x6851,x6854,x6855),f903(x6853,x6852,x6854,x6855)) % 242.40/242.49 [686]~E(x6861,x6862)+E(f903(x6863,x6864,x6861,x6865),f903(x6863,x6864,x6862,x6865)) % 242.40/242.49 [687]~E(x6871,x6872)+E(f903(x6873,x6874,x6875,x6871),f903(x6873,x6874,x6875,x6872)) % 242.40/242.49 [688]~E(x6881,x6882)+E(f722(x6881,x6883,x6884,x6885,x6886),f722(x6882,x6883,x6884,x6885,x6886)) % 242.40/242.49 [689]~E(x6891,x6892)+E(f722(x6893,x6891,x6894,x6895,x6896),f722(x6893,x6892,x6894,x6895,x6896)) % 242.40/242.49 [690]~E(x6901,x6902)+E(f722(x6903,x6904,x6901,x6905,x6906),f722(x6903,x6904,x6902,x6905,x6906)) % 242.40/242.49 [691]~E(x6911,x6912)+E(f722(x6913,x6914,x6915,x6911,x6916),f722(x6913,x6914,x6915,x6912,x6916)) % 242.40/242.49 [692]~E(x6921,x6922)+E(f722(x6923,x6924,x6925,x6926,x6921),f722(x6923,x6924,x6925,x6926,x6922)) % 242.40/242.49 [693]~E(x6931,x6932)+E(f45(x6931),f45(x6932)) % 242.40/242.49 [694]~E(x6941,x6942)+E(f688(x6941,x6943,x6944,x6945),f688(x6942,x6943,x6944,x6945)) % 242.40/242.49 [695]~E(x6951,x6952)+E(f688(x6953,x6951,x6954,x6955),f688(x6953,x6952,x6954,x6955)) % 242.40/242.49 [696]~E(x6961,x6962)+E(f688(x6963,x6964,x6961,x6965),f688(x6963,x6964,x6962,x6965)) % 242.40/242.49 [697]~E(x6971,x6972)+E(f688(x6973,x6974,x6975,x6971),f688(x6973,x6974,x6975,x6972)) % 242.40/242.49 [698]~E(x6981,x6982)+E(f842(x6981,x6983,x6984,x6985,x6986),f842(x6982,x6983,x6984,x6985,x6986)) % 242.40/242.49 [699]~E(x6991,x6992)+E(f842(x6993,x6991,x6994,x6995,x6996),f842(x6993,x6992,x6994,x6995,x6996)) % 242.40/242.49 [700]~E(x7001,x7002)+E(f842(x7003,x7004,x7001,x7005,x7006),f842(x7003,x7004,x7002,x7005,x7006)) % 242.40/242.49 [701]~E(x7011,x7012)+E(f842(x7013,x7014,x7015,x7011,x7016),f842(x7013,x7014,x7015,x7012,x7016)) % 242.40/242.49 [702]~E(x7021,x7022)+E(f842(x7023,x7024,x7025,x7026,x7021),f842(x7023,x7024,x7025,x7026,x7022)) % 242.40/242.49 [703]~E(x7031,x7032)+E(f353(x7031,x7033,x7034),f353(x7032,x7033,x7034)) % 242.40/242.49 [704]~E(x7041,x7042)+E(f353(x7043,x7041,x7044),f353(x7043,x7042,x7044)) % 242.40/242.49 [705]~E(x7051,x7052)+E(f353(x7053,x7054,x7051),f353(x7053,x7054,x7052)) % 242.40/242.49 [706]~E(x7061,x7062)+E(f285(x7061),f285(x7062)) % 242.40/242.49 [707]~E(x7071,x7072)+E(f468(x7071,x7073,x7074),f468(x7072,x7073,x7074)) % 242.40/242.49 [708]~E(x7081,x7082)+E(f468(x7083,x7081,x7084),f468(x7083,x7082,x7084)) % 242.40/242.49 [709]~E(x7091,x7092)+E(f468(x7093,x7094,x7091),f468(x7093,x7094,x7092)) % 242.40/242.49 [710]~E(x7101,x7102)+E(f428(x7101,x7103,x7104),f428(x7102,x7103,x7104)) % 242.40/242.49 [711]~E(x7111,x7112)+E(f428(x7113,x7111,x7114),f428(x7113,x7112,x7114)) % 242.40/242.49 [712]~E(x7121,x7122)+E(f428(x7123,x7124,x7121),f428(x7123,x7124,x7122)) % 242.40/242.49 [713]~E(x7131,x7132)+E(f148(x7131,x7133),f148(x7132,x7133)) % 242.40/242.49 [714]~E(x7141,x7142)+E(f148(x7143,x7141),f148(x7143,x7142)) % 242.40/242.49 [715]~E(x7151,x7152)+E(f684(x7151,x7153,x7154),f684(x7152,x7153,x7154)) % 242.40/242.49 [716]~E(x7161,x7162)+E(f684(x7163,x7161,x7164),f684(x7163,x7162,x7164)) % 242.40/242.49 [717]~E(x7171,x7172)+E(f684(x7173,x7174,x7171),f684(x7173,x7174,x7172)) % 242.40/242.49 [718]~E(x7181,x7182)+E(f518(x7181,x7183,x7184),f518(x7182,x7183,x7184)) % 242.40/242.49 [719]~E(x7191,x7192)+E(f518(x7193,x7191,x7194),f518(x7193,x7192,x7194)) % 242.40/242.49 [720]~E(x7201,x7202)+E(f518(x7203,x7204,x7201),f518(x7203,x7204,x7202)) % 242.40/242.49 [721]~E(x7211,x7212)+E(f871(x7211,x7213,x7214),f871(x7212,x7213,x7214)) % 242.40/242.49 [722]~E(x7221,x7222)+E(f871(x7223,x7221,x7224),f871(x7223,x7222,x7224)) % 242.40/242.49 [723]~E(x7231,x7232)+E(f871(x7233,x7234,x7231),f871(x7233,x7234,x7232)) % 242.40/242.49 [724]~E(x7241,x7242)+E(f259(x7241,x7243,x7244,x7245),f259(x7242,x7243,x7244,x7245)) % 242.40/242.49 [725]~E(x7251,x7252)+E(f259(x7253,x7251,x7254,x7255),f259(x7253,x7252,x7254,x7255)) % 242.40/242.49 [726]~E(x7261,x7262)+E(f259(x7263,x7264,x7261,x7265),f259(x7263,x7264,x7262,x7265)) % 242.40/242.49 [727]~E(x7271,x7272)+E(f259(x7273,x7274,x7275,x7271),f259(x7273,x7274,x7275,x7272)) % 242.40/242.49 [728]~E(x7281,x7282)+E(f43(x7281),f43(x7282)) % 242.40/242.49 [729]~E(x7291,x7292)+E(f450(x7291,x7293,x7294,x7295),f450(x7292,x7293,x7294,x7295)) % 242.40/242.49 [730]~E(x7301,x7302)+E(f450(x7303,x7301,x7304,x7305),f450(x7303,x7302,x7304,x7305)) % 242.40/242.49 [731]~E(x7311,x7312)+E(f450(x7313,x7314,x7311,x7315),f450(x7313,x7314,x7312,x7315)) % 242.40/242.49 [732]~E(x7321,x7322)+E(f450(x7323,x7324,x7325,x7321),f450(x7323,x7324,x7325,x7322)) % 242.40/242.49 [733]~E(x7331,x7332)+E(f169(x7331,x7333,x7334),f169(x7332,x7333,x7334)) % 242.40/242.49 [734]~E(x7341,x7342)+E(f169(x7343,x7341,x7344),f169(x7343,x7342,x7344)) % 242.40/242.49 [735]~E(x7351,x7352)+E(f169(x7353,x7354,x7351),f169(x7353,x7354,x7352)) % 242.40/242.49 [736]~E(x7361,x7362)+E(f470(x7361,x7363,x7364,x7365,x7366),f470(x7362,x7363,x7364,x7365,x7366)) % 242.40/242.49 [737]~E(x7371,x7372)+E(f470(x7373,x7371,x7374,x7375,x7376),f470(x7373,x7372,x7374,x7375,x7376)) % 242.40/242.49 [738]~E(x7381,x7382)+E(f470(x7383,x7384,x7381,x7385,x7386),f470(x7383,x7384,x7382,x7385,x7386)) % 242.40/242.49 [739]~E(x7391,x7392)+E(f470(x7393,x7394,x7395,x7391,x7396),f470(x7393,x7394,x7395,x7392,x7396)) % 242.40/242.49 [740]~E(x7401,x7402)+E(f470(x7403,x7404,x7405,x7406,x7401),f470(x7403,x7404,x7405,x7406,x7402)) % 242.40/242.49 [741]~E(x7411,x7412)+E(f866(x7411,x7413,x7414,x7415,x7416,x7417,x7418,x7419),f866(x7412,x7413,x7414,x7415,x7416,x7417,x7418,x7419)) % 242.40/242.49 [742]~E(x7421,x7422)+E(f866(x7423,x7421,x7424,x7425,x7426,x7427,x7428,x7429),f866(x7423,x7422,x7424,x7425,x7426,x7427,x7428,x7429)) % 242.40/242.49 [743]~E(x7431,x7432)+E(f866(x7433,x7434,x7431,x7435,x7436,x7437,x7438,x7439),f866(x7433,x7434,x7432,x7435,x7436,x7437,x7438,x7439)) % 242.40/242.49 [744]~E(x7441,x7442)+E(f866(x7443,x7444,x7445,x7441,x7446,x7447,x7448,x7449),f866(x7443,x7444,x7445,x7442,x7446,x7447,x7448,x7449)) % 242.40/242.49 [745]~E(x7451,x7452)+E(f866(x7453,x7454,x7455,x7456,x7451,x7457,x7458,x7459),f866(x7453,x7454,x7455,x7456,x7452,x7457,x7458,x7459)) % 242.40/242.49 [746]~E(x7461,x7462)+E(f866(x7463,x7464,x7465,x7466,x7467,x7461,x7468,x7469),f866(x7463,x7464,x7465,x7466,x7467,x7462,x7468,x7469)) % 242.40/242.49 [747]~E(x7471,x7472)+E(f866(x7473,x7474,x7475,x7476,x7477,x7478,x7471,x7479),f866(x7473,x7474,x7475,x7476,x7477,x7478,x7472,x7479)) % 242.40/242.49 [748]~E(x7481,x7482)+E(f866(x7483,x7484,x7485,x7486,x7487,x7488,x7489,x7481),f866(x7483,x7484,x7485,x7486,x7487,x7488,x7489,x7482)) % 242.40/242.49 [749]~E(x7491,x7492)+E(f268(x7491,x7493),f268(x7492,x7493)) % 242.40/242.49 [750]~E(x7501,x7502)+E(f268(x7503,x7501),f268(x7503,x7502)) % 242.40/242.49 [751]~E(x7511,x7512)+E(f355(x7511,x7513,x7514,x7515,x7516),f355(x7512,x7513,x7514,x7515,x7516)) % 242.40/242.49 [752]~E(x7521,x7522)+E(f355(x7523,x7521,x7524,x7525,x7526),f355(x7523,x7522,x7524,x7525,x7526)) % 242.40/242.49 [753]~E(x7531,x7532)+E(f355(x7533,x7534,x7531,x7535,x7536),f355(x7533,x7534,x7532,x7535,x7536)) % 242.40/242.49 [754]~E(x7541,x7542)+E(f355(x7543,x7544,x7545,x7541,x7546),f355(x7543,x7544,x7545,x7542,x7546)) % 242.40/242.49 [755]~E(x7551,x7552)+E(f355(x7553,x7554,x7555,x7556,x7551),f355(x7553,x7554,x7555,x7556,x7552)) % 242.40/242.49 [756]~E(x7561,x7562)+E(f177(x7561,x7563,x7564),f177(x7562,x7563,x7564)) % 242.40/242.49 [757]~E(x7571,x7572)+E(f177(x7573,x7571,x7574),f177(x7573,x7572,x7574)) % 242.40/242.49 [758]~E(x7581,x7582)+E(f177(x7583,x7584,x7581),f177(x7583,x7584,x7582)) % 242.40/242.49 [759]~E(x7591,x7592)+E(f393(x7591,x7593,x7594,x7595),f393(x7592,x7593,x7594,x7595)) % 242.40/242.49 [760]~E(x7601,x7602)+E(f393(x7603,x7601,x7604,x7605),f393(x7603,x7602,x7604,x7605)) % 242.40/242.49 [761]~E(x7611,x7612)+E(f393(x7613,x7614,x7611,x7615),f393(x7613,x7614,x7612,x7615)) % 242.40/242.49 [762]~E(x7621,x7622)+E(f393(x7623,x7624,x7625,x7621),f393(x7623,x7624,x7625,x7622)) % 242.40/242.49 [763]~E(x7631,x7632)+E(f882(x7631,x7633,x7634,x7635),f882(x7632,x7633,x7634,x7635)) % 242.40/242.49 [764]~E(x7641,x7642)+E(f882(x7643,x7641,x7644,x7645),f882(x7643,x7642,x7644,x7645)) % 242.40/242.49 [765]~E(x7651,x7652)+E(f882(x7653,x7654,x7651,x7655),f882(x7653,x7654,x7652,x7655)) % 242.40/242.49 [766]~E(x7661,x7662)+E(f882(x7663,x7664,x7665,x7661),f882(x7663,x7664,x7665,x7662)) % 242.40/242.49 [767]~E(x7671,x7672)+E(f784(x7671,x7673,x7674),f784(x7672,x7673,x7674)) % 242.40/242.49 [768]~E(x7681,x7682)+E(f784(x7683,x7681,x7684),f784(x7683,x7682,x7684)) % 242.40/242.49 [769]~E(x7691,x7692)+E(f784(x7693,x7694,x7691),f784(x7693,x7694,x7692)) % 242.40/242.49 [770]~E(x7701,x7702)+E(f645(x7701,x7703,x7704,x7705,x7706,x7707),f645(x7702,x7703,x7704,x7705,x7706,x7707)) % 242.40/242.49 [771]~E(x7711,x7712)+E(f645(x7713,x7711,x7714,x7715,x7716,x7717),f645(x7713,x7712,x7714,x7715,x7716,x7717)) % 242.40/242.49 [772]~E(x7721,x7722)+E(f645(x7723,x7724,x7721,x7725,x7726,x7727),f645(x7723,x7724,x7722,x7725,x7726,x7727)) % 242.40/242.49 [773]~E(x7731,x7732)+E(f645(x7733,x7734,x7735,x7731,x7736,x7737),f645(x7733,x7734,x7735,x7732,x7736,x7737)) % 242.40/242.49 [774]~E(x7741,x7742)+E(f645(x7743,x7744,x7745,x7746,x7741,x7747),f645(x7743,x7744,x7745,x7746,x7742,x7747)) % 242.40/242.49 [775]~E(x7751,x7752)+E(f645(x7753,x7754,x7755,x7756,x7757,x7751),f645(x7753,x7754,x7755,x7756,x7757,x7752)) % 242.40/242.49 [776]~E(x7761,x7762)+E(f52(x7761,x7763),f52(x7762,x7763)) % 242.40/242.49 [777]~E(x7771,x7772)+E(f52(x7773,x7771),f52(x7773,x7772)) % 242.40/242.49 [778]~E(x7781,x7782)+E(f747(x7781,x7783),f747(x7782,x7783)) % 242.40/242.49 [779]~E(x7791,x7792)+E(f747(x7793,x7791),f747(x7793,x7792)) % 242.40/242.49 [780]~E(x7801,x7802)+E(f793(x7801,x7803,x7804,x7805),f793(x7802,x7803,x7804,x7805)) % 242.40/242.49 [781]~E(x7811,x7812)+E(f793(x7813,x7811,x7814,x7815),f793(x7813,x7812,x7814,x7815)) % 242.40/242.49 [782]~E(x7821,x7822)+E(f793(x7823,x7824,x7821,x7825),f793(x7823,x7824,x7822,x7825)) % 242.40/242.49 [783]~E(x7831,x7832)+E(f793(x7833,x7834,x7835,x7831),f793(x7833,x7834,x7835,x7832)) % 242.40/242.49 [784]~E(x7841,x7842)+E(f731(x7841,x7843,x7844),f731(x7842,x7843,x7844)) % 242.40/242.49 [785]~E(x7851,x7852)+E(f731(x7853,x7851,x7854),f731(x7853,x7852,x7854)) % 242.40/242.49 [786]~E(x7861,x7862)+E(f731(x7863,x7864,x7861),f731(x7863,x7864,x7862)) % 242.40/242.49 [787]~E(x7871,x7872)+E(f271(x7871),f271(x7872)) % 242.40/242.49 [788]~E(x7881,x7882)+E(f677(x7881,x7883,x7884,x7885,x7886),f677(x7882,x7883,x7884,x7885,x7886)) % 242.40/242.49 [789]~E(x7891,x7892)+E(f677(x7893,x7891,x7894,x7895,x7896),f677(x7893,x7892,x7894,x7895,x7896)) % 242.40/242.49 [790]~E(x7901,x7902)+E(f677(x7903,x7904,x7901,x7905,x7906),f677(x7903,x7904,x7902,x7905,x7906)) % 242.40/242.49 [791]~E(x7911,x7912)+E(f677(x7913,x7914,x7915,x7911,x7916),f677(x7913,x7914,x7915,x7912,x7916)) % 242.40/242.49 [792]~E(x7921,x7922)+E(f677(x7923,x7924,x7925,x7926,x7921),f677(x7923,x7924,x7925,x7926,x7922)) % 242.40/242.49 [793]~E(x7931,x7932)+E(f392(x7931,x7933,x7934,x7935),f392(x7932,x7933,x7934,x7935)) % 242.40/242.49 [794]~E(x7941,x7942)+E(f392(x7943,x7941,x7944,x7945),f392(x7943,x7942,x7944,x7945)) % 242.40/242.49 [795]~E(x7951,x7952)+E(f392(x7953,x7954,x7951,x7955),f392(x7953,x7954,x7952,x7955)) % 242.40/242.49 [796]~E(x7961,x7962)+E(f392(x7963,x7964,x7965,x7961),f392(x7963,x7964,x7965,x7962)) % 242.40/242.49 [797]~E(x7971,x7972)+E(f895(x7971,x7973,x7974,x7975),f895(x7972,x7973,x7974,x7975)) % 242.40/242.49 [798]~E(x7981,x7982)+E(f895(x7983,x7981,x7984,x7985),f895(x7983,x7982,x7984,x7985)) % 242.40/242.49 [799]~E(x7991,x7992)+E(f895(x7993,x7994,x7991,x7995),f895(x7993,x7994,x7992,x7995)) % 242.40/242.49 [800]~E(x8001,x8002)+E(f895(x8003,x8004,x8005,x8001),f895(x8003,x8004,x8005,x8002)) % 242.40/242.49 [801]~E(x8011,x8012)+E(f804(x8011,x8013,x8014),f804(x8012,x8013,x8014)) % 242.40/242.49 [802]~E(x8021,x8022)+E(f804(x8023,x8021,x8024),f804(x8023,x8022,x8024)) % 242.40/242.49 [803]~E(x8031,x8032)+E(f804(x8033,x8034,x8031),f804(x8033,x8034,x8032)) % 242.40/242.49 [804]~E(x8041,x8042)+E(f275(x8041,x8043,x8044,x8045),f275(x8042,x8043,x8044,x8045)) % 242.40/242.49 [805]~E(x8051,x8052)+E(f275(x8053,x8051,x8054,x8055),f275(x8053,x8052,x8054,x8055)) % 242.40/242.49 [806]~E(x8061,x8062)+E(f275(x8063,x8064,x8061,x8065),f275(x8063,x8064,x8062,x8065)) % 242.40/242.49 [807]~E(x8071,x8072)+E(f275(x8073,x8074,x8075,x8071),f275(x8073,x8074,x8075,x8072)) % 242.40/242.49 [808]~E(x8081,x8082)+E(f17(x8081,x8083,x8084,x8085),f17(x8082,x8083,x8084,x8085)) % 242.40/242.49 [809]~E(x8091,x8092)+E(f17(x8093,x8091,x8094,x8095),f17(x8093,x8092,x8094,x8095)) % 242.40/242.49 [810]~E(x8101,x8102)+E(f17(x8103,x8104,x8101,x8105),f17(x8103,x8104,x8102,x8105)) % 242.40/242.49 [811]~E(x8111,x8112)+E(f17(x8113,x8114,x8115,x8111),f17(x8113,x8114,x8115,x8112)) % 242.40/242.49 [812]~E(x8121,x8122)+E(f253(x8121,x8123,x8124),f253(x8122,x8123,x8124)) % 242.40/242.49 [813]~E(x8131,x8132)+E(f253(x8133,x8131,x8134),f253(x8133,x8132,x8134)) % 242.40/242.49 [814]~E(x8141,x8142)+E(f253(x8143,x8144,x8141),f253(x8143,x8144,x8142)) % 242.40/242.49 [815]~E(x8151,x8152)+E(f131(x8151,x8153),f131(x8152,x8153)) % 242.40/242.49 [816]~E(x8161,x8162)+E(f131(x8163,x8161),f131(x8163,x8162)) % 242.40/242.49 [817]~E(x8171,x8172)+E(f269(x8171,x8173,x8174),f269(x8172,x8173,x8174)) % 242.40/242.49 [818]~E(x8181,x8182)+E(f269(x8183,x8181,x8184),f269(x8183,x8182,x8184)) % 242.40/242.49 [819]~E(x8191,x8192)+E(f269(x8193,x8194,x8191),f269(x8193,x8194,x8192)) % 242.40/242.49 [820]~E(x8201,x8202)+E(f884(x8201,x8203,x8204),f884(x8202,x8203,x8204)) % 242.40/242.49 [821]~E(x8211,x8212)+E(f884(x8213,x8211,x8214),f884(x8213,x8212,x8214)) % 242.40/242.49 [822]~E(x8221,x8222)+E(f884(x8223,x8224,x8221),f884(x8223,x8224,x8222)) % 242.40/242.49 [823]~E(x8231,x8232)+E(f834(x8231,x8233,x8234,x8235,x8236,x8237),f834(x8232,x8233,x8234,x8235,x8236,x8237)) % 242.40/242.49 [824]~E(x8241,x8242)+E(f834(x8243,x8241,x8244,x8245,x8246,x8247),f834(x8243,x8242,x8244,x8245,x8246,x8247)) % 242.40/242.49 [825]~E(x8251,x8252)+E(f834(x8253,x8254,x8251,x8255,x8256,x8257),f834(x8253,x8254,x8252,x8255,x8256,x8257)) % 242.40/242.49 [826]~E(x8261,x8262)+E(f834(x8263,x8264,x8265,x8261,x8266,x8267),f834(x8263,x8264,x8265,x8262,x8266,x8267)) % 242.40/242.49 [827]~E(x8271,x8272)+E(f834(x8273,x8274,x8275,x8276,x8271,x8277),f834(x8273,x8274,x8275,x8276,x8272,x8277)) % 242.40/242.49 [828]~E(x8281,x8282)+E(f834(x8283,x8284,x8285,x8286,x8287,x8281),f834(x8283,x8284,x8285,x8286,x8287,x8282)) % 242.40/242.49 [829]~E(x8291,x8292)+E(f856(x8291,x8293,x8294,x8295,x8296,x8297,x8298,x8299),f856(x8292,x8293,x8294,x8295,x8296,x8297,x8298,x8299)) % 242.40/242.49 [830]~E(x8301,x8302)+E(f856(x8303,x8301,x8304,x8305,x8306,x8307,x8308,x8309),f856(x8303,x8302,x8304,x8305,x8306,x8307,x8308,x8309)) % 242.40/242.49 [831]~E(x8311,x8312)+E(f856(x8313,x8314,x8311,x8315,x8316,x8317,x8318,x8319),f856(x8313,x8314,x8312,x8315,x8316,x8317,x8318,x8319)) % 242.40/242.49 [832]~E(x8321,x8322)+E(f856(x8323,x8324,x8325,x8321,x8326,x8327,x8328,x8329),f856(x8323,x8324,x8325,x8322,x8326,x8327,x8328,x8329)) % 242.40/242.49 [833]~E(x8331,x8332)+E(f856(x8333,x8334,x8335,x8336,x8331,x8337,x8338,x8339),f856(x8333,x8334,x8335,x8336,x8332,x8337,x8338,x8339)) % 242.40/242.49 [834]~E(x8341,x8342)+E(f856(x8343,x8344,x8345,x8346,x8347,x8341,x8348,x8349),f856(x8343,x8344,x8345,x8346,x8347,x8342,x8348,x8349)) % 242.40/242.49 [835]~E(x8351,x8352)+E(f856(x8353,x8354,x8355,x8356,x8357,x8358,x8351,x8359),f856(x8353,x8354,x8355,x8356,x8357,x8358,x8352,x8359)) % 242.40/242.49 [836]~E(x8361,x8362)+E(f856(x8363,x8364,x8365,x8366,x8367,x8368,x8369,x8361),f856(x8363,x8364,x8365,x8366,x8367,x8368,x8369,x8362)) % 242.40/242.49 [837]~E(x8371,x8372)+E(f848(x8371,x8373,x8374,x8375,x8376),f848(x8372,x8373,x8374,x8375,x8376)) % 242.40/242.49 [838]~E(x8381,x8382)+E(f848(x8383,x8381,x8384,x8385,x8386),f848(x8383,x8382,x8384,x8385,x8386)) % 242.40/242.49 [839]~E(x8391,x8392)+E(f848(x8393,x8394,x8391,x8395,x8396),f848(x8393,x8394,x8392,x8395,x8396)) % 242.40/242.49 [840]~E(x8401,x8402)+E(f848(x8403,x8404,x8405,x8401,x8406),f848(x8403,x8404,x8405,x8402,x8406)) % 242.40/242.49 [841]~E(x8411,x8412)+E(f848(x8413,x8414,x8415,x8416,x8411),f848(x8413,x8414,x8415,x8416,x8412)) % 242.40/242.49 [842]~E(x8421,x8422)+E(f250(x8421,x8423,x8424,x8425,x8426,x8427),f250(x8422,x8423,x8424,x8425,x8426,x8427)) % 242.40/242.49 [843]~E(x8431,x8432)+E(f250(x8433,x8431,x8434,x8435,x8436,x8437),f250(x8433,x8432,x8434,x8435,x8436,x8437)) % 242.40/242.49 [844]~E(x8441,x8442)+E(f250(x8443,x8444,x8441,x8445,x8446,x8447),f250(x8443,x8444,x8442,x8445,x8446,x8447)) % 242.40/242.49 [845]~E(x8451,x8452)+E(f250(x8453,x8454,x8455,x8451,x8456,x8457),f250(x8453,x8454,x8455,x8452,x8456,x8457)) % 242.40/242.49 [846]~E(x8461,x8462)+E(f250(x8463,x8464,x8465,x8466,x8461,x8467),f250(x8463,x8464,x8465,x8466,x8462,x8467)) % 242.40/242.49 [847]~E(x8471,x8472)+E(f250(x8473,x8474,x8475,x8476,x8477,x8471),f250(x8473,x8474,x8475,x8476,x8477,x8472)) % 242.40/242.49 [848]~E(x8481,x8482)+E(f173(x8481,x8483,x8484),f173(x8482,x8483,x8484)) % 242.40/242.49 [849]~E(x8491,x8492)+E(f173(x8493,x8491,x8494),f173(x8493,x8492,x8494)) % 242.40/242.49 [850]~E(x8501,x8502)+E(f173(x8503,x8504,x8501),f173(x8503,x8504,x8502)) % 242.40/242.49 [851]~E(x8511,x8512)+E(f251(x8511,x8513,x8514),f251(x8512,x8513,x8514)) % 242.40/242.49 [852]~E(x8521,x8522)+E(f251(x8523,x8521,x8524),f251(x8523,x8522,x8524)) % 242.40/242.49 [853]~E(x8531,x8532)+E(f251(x8533,x8534,x8531),f251(x8533,x8534,x8532)) % 242.40/242.49 [854]~E(x8541,x8542)+E(f247(x8541,x8543,x8544),f247(x8542,x8543,x8544)) % 242.40/242.49 [855]~E(x8551,x8552)+E(f247(x8553,x8551,x8554),f247(x8553,x8552,x8554)) % 242.40/242.49 [856]~E(x8561,x8562)+E(f247(x8563,x8564,x8561),f247(x8563,x8564,x8562)) % 242.40/242.49 [857]~E(x8571,x8572)+E(f135(x8571,x8573),f135(x8572,x8573)) % 242.40/242.49 [858]~E(x8581,x8582)+E(f135(x8583,x8581),f135(x8583,x8582)) % 242.40/242.49 [859]~E(x8591,x8592)+E(f262(x8591,x8593,x8594,x8595,x8596,x8597),f262(x8592,x8593,x8594,x8595,x8596,x8597)) % 242.40/242.49 [860]~E(x8601,x8602)+E(f262(x8603,x8601,x8604,x8605,x8606,x8607),f262(x8603,x8602,x8604,x8605,x8606,x8607)) % 242.40/242.49 [861]~E(x8611,x8612)+E(f262(x8613,x8614,x8611,x8615,x8616,x8617),f262(x8613,x8614,x8612,x8615,x8616,x8617)) % 242.40/242.49 [862]~E(x8621,x8622)+E(f262(x8623,x8624,x8625,x8621,x8626,x8627),f262(x8623,x8624,x8625,x8622,x8626,x8627)) % 242.40/242.49 [863]~E(x8631,x8632)+E(f262(x8633,x8634,x8635,x8636,x8631,x8637),f262(x8633,x8634,x8635,x8636,x8632,x8637)) % 242.40/242.49 [864]~E(x8641,x8642)+E(f262(x8643,x8644,x8645,x8646,x8647,x8641),f262(x8643,x8644,x8645,x8646,x8647,x8642)) % 242.40/242.49 [865]~E(x8651,x8652)+E(f28(x8651,x8653,x8654),f28(x8652,x8653,x8654)) % 242.40/242.49 [866]~E(x8661,x8662)+E(f28(x8663,x8661,x8664),f28(x8663,x8662,x8664)) % 242.40/242.49 [867]~E(x8671,x8672)+E(f28(x8673,x8674,x8671),f28(x8673,x8674,x8672)) % 242.40/242.49 [868]~E(x8681,x8682)+E(f282(x8681),f282(x8682)) % 242.40/242.49 [869]~E(x8691,x8692)+E(f439(x8691,x8693),f439(x8692,x8693)) % 242.40/242.49 [870]~E(x8701,x8702)+E(f439(x8703,x8701),f439(x8703,x8702)) % 242.40/242.49 [871]~E(x8711,x8712)+E(f400(x8711,x8713),f400(x8712,x8713)) % 242.40/242.49 [872]~E(x8721,x8722)+E(f400(x8723,x8721),f400(x8723,x8722)) % 242.40/242.49 [873]~E(x8731,x8732)+E(f342(x8731,x8733,x8734,x8735),f342(x8732,x8733,x8734,x8735)) % 242.40/242.49 [874]~E(x8741,x8742)+E(f342(x8743,x8741,x8744,x8745),f342(x8743,x8742,x8744,x8745)) % 242.40/242.49 [875]~E(x8751,x8752)+E(f342(x8753,x8754,x8751,x8755),f342(x8753,x8754,x8752,x8755)) % 242.40/242.49 [876]~E(x8761,x8762)+E(f342(x8763,x8764,x8765,x8761),f342(x8763,x8764,x8765,x8762)) % 242.40/242.49 [877]~E(x8771,x8772)+E(f918(x8771,x8773,x8774,x8775,x8776),f918(x8772,x8773,x8774,x8775,x8776)) % 242.40/242.49 [878]~E(x8781,x8782)+E(f918(x8783,x8781,x8784,x8785,x8786),f918(x8783,x8782,x8784,x8785,x8786)) % 242.40/242.49 [879]~E(x8791,x8792)+E(f918(x8793,x8794,x8791,x8795,x8796),f918(x8793,x8794,x8792,x8795,x8796)) % 242.40/242.49 [880]~E(x8801,x8802)+E(f918(x8803,x8804,x8805,x8801,x8806),f918(x8803,x8804,x8805,x8802,x8806)) % 242.40/242.49 [881]~E(x8811,x8812)+E(f918(x8813,x8814,x8815,x8816,x8811),f918(x8813,x8814,x8815,x8816,x8812)) % 242.40/242.49 [882]~E(x8821,x8822)+E(f249(x8821,x8823,x8824),f249(x8822,x8823,x8824)) % 242.40/242.49 [883]~E(x8831,x8832)+E(f249(x8833,x8831,x8834),f249(x8833,x8832,x8834)) % 242.40/242.49 [884]~E(x8841,x8842)+E(f249(x8843,x8844,x8841),f249(x8843,x8844,x8842)) % 242.40/242.49 [885]~E(x8851,x8852)+E(f602(x8851,x8853,x8854),f602(x8852,x8853,x8854)) % 242.40/242.49 [886]~E(x8861,x8862)+E(f602(x8863,x8861,x8864),f602(x8863,x8862,x8864)) % 242.40/242.49 [887]~E(x8871,x8872)+E(f602(x8873,x8874,x8871),f602(x8873,x8874,x8872)) % 242.40/242.49 [888]~E(x8881,x8882)+E(f847(x8881,x8883,x8884,x8885),f847(x8882,x8883,x8884,x8885)) % 242.40/242.49 [889]~E(x8891,x8892)+E(f847(x8893,x8891,x8894,x8895),f847(x8893,x8892,x8894,x8895)) % 242.40/242.49 [890]~E(x8901,x8902)+E(f847(x8903,x8904,x8901,x8905),f847(x8903,x8904,x8902,x8905)) % 242.40/242.49 [891]~E(x8911,x8912)+E(f847(x8913,x8914,x8915,x8911),f847(x8913,x8914,x8915,x8912)) % 242.40/242.49 [892]~E(x8921,x8922)+E(f201(x8921,x8923,x8924,x8925),f201(x8922,x8923,x8924,x8925)) % 242.40/242.49 [893]~E(x8931,x8932)+E(f201(x8933,x8931,x8934,x8935),f201(x8933,x8932,x8934,x8935)) % 242.40/242.49 [894]~E(x8941,x8942)+E(f201(x8943,x8944,x8941,x8945),f201(x8943,x8944,x8942,x8945)) % 242.40/242.49 [895]~E(x8951,x8952)+E(f201(x8953,x8954,x8955,x8951),f201(x8953,x8954,x8955,x8952)) % 242.40/242.49 [896]~E(x8961,x8962)+E(f652(x8961,x8963,x8964,x8965,x8966,x8967,x8968),f652(x8962,x8963,x8964,x8965,x8966,x8967,x8968)) % 242.40/242.49 [897]~E(x8971,x8972)+E(f652(x8973,x8971,x8974,x8975,x8976,x8977,x8978),f652(x8973,x8972,x8974,x8975,x8976,x8977,x8978)) % 242.40/242.49 [898]~E(x8981,x8982)+E(f652(x8983,x8984,x8981,x8985,x8986,x8987,x8988),f652(x8983,x8984,x8982,x8985,x8986,x8987,x8988)) % 242.40/242.49 [899]~E(x8991,x8992)+E(f652(x8993,x8994,x8995,x8991,x8996,x8997,x8998),f652(x8993,x8994,x8995,x8992,x8996,x8997,x8998)) % 242.40/242.49 [900]~E(x9001,x9002)+E(f652(x9003,x9004,x9005,x9006,x9001,x9007,x9008),f652(x9003,x9004,x9005,x9006,x9002,x9007,x9008)) % 242.40/242.49 [901]~E(x9011,x9012)+E(f652(x9013,x9014,x9015,x9016,x9017,x9011,x9018),f652(x9013,x9014,x9015,x9016,x9017,x9012,x9018)) % 242.40/242.49 [902]~E(x9021,x9022)+E(f652(x9023,x9024,x9025,x9026,x9027,x9028,x9021),f652(x9023,x9024,x9025,x9026,x9027,x9028,x9022)) % 242.40/242.49 [903]~E(x9031,x9032)+E(f79(x9031,x9033,x9034,x9035),f79(x9032,x9033,x9034,x9035)) % 242.40/242.49 [904]~E(x9041,x9042)+E(f79(x9043,x9041,x9044,x9045),f79(x9043,x9042,x9044,x9045)) % 242.40/242.49 [905]~E(x9051,x9052)+E(f79(x9053,x9054,x9051,x9055),f79(x9053,x9054,x9052,x9055)) % 242.40/242.49 [906]~E(x9061,x9062)+E(f79(x9063,x9064,x9065,x9061),f79(x9063,x9064,x9065,x9062)) % 242.40/242.49 [907]~E(x9071,x9072)+E(f48(x9071,x9073),f48(x9072,x9073)) % 242.40/242.49 [908]~E(x9081,x9082)+E(f48(x9083,x9081),f48(x9083,x9082)) % 242.40/242.49 [909]~E(x9091,x9092)+E(f543(x9091,x9093,x9094,x9095),f543(x9092,x9093,x9094,x9095)) % 242.40/242.49 [910]~E(x9101,x9102)+E(f543(x9103,x9101,x9104,x9105),f543(x9103,x9102,x9104,x9105)) % 242.40/242.49 [911]~E(x9111,x9112)+E(f543(x9113,x9114,x9111,x9115),f543(x9113,x9114,x9112,x9115)) % 242.40/242.49 [912]~E(x9121,x9122)+E(f543(x9123,x9124,x9125,x9121),f543(x9123,x9124,x9125,x9122)) % 242.40/242.49 [913]~E(x9131,x9132)+E(f610(x9131,x9133,x9134,x9135),f610(x9132,x9133,x9134,x9135)) % 242.40/242.49 [914]~E(x9141,x9142)+E(f610(x9143,x9141,x9144,x9145),f610(x9143,x9142,x9144,x9145)) % 242.40/242.49 [915]~E(x9151,x9152)+E(f610(x9153,x9154,x9151,x9155),f610(x9153,x9154,x9152,x9155)) % 242.40/242.49 [916]~E(x9161,x9162)+E(f610(x9163,x9164,x9165,x9161),f610(x9163,x9164,x9165,x9162)) % 242.40/242.49 [917]~E(x9171,x9172)+E(f909(x9171,x9173),f909(x9172,x9173)) % 242.40/242.49 [918]~E(x9181,x9182)+E(f909(x9183,x9181),f909(x9183,x9182)) % 242.40/242.49 [919]~E(x9191,x9192)+E(f790(x9191,x9193,x9194),f790(x9192,x9193,x9194)) % 242.40/242.49 [920]~E(x9201,x9202)+E(f790(x9203,x9201,x9204),f790(x9203,x9202,x9204)) % 242.40/242.49 [921]~E(x9211,x9212)+E(f790(x9213,x9214,x9211),f790(x9213,x9214,x9212)) % 242.40/242.49 [922]~E(x9221,x9222)+E(f844(x9221,x9223,x9224),f844(x9222,x9223,x9224)) % 242.40/242.49 [923]~E(x9231,x9232)+E(f844(x9233,x9231,x9234),f844(x9233,x9232,x9234)) % 242.40/242.49 [924]~E(x9241,x9242)+E(f844(x9243,x9244,x9241),f844(x9243,x9244,x9242)) % 242.40/242.49 [925]~E(x9251,x9252)+E(f550(x9251,x9253),f550(x9252,x9253)) % 242.40/242.49 [926]~E(x9261,x9262)+E(f550(x9263,x9261),f550(x9263,x9262)) % 242.40/242.49 [927]~E(x9271,x9272)+E(f189(x9271),f189(x9272)) % 242.40/242.49 [928]~E(x9281,x9282)+E(f443(x9281,x9283,x9284),f443(x9282,x9283,x9284)) % 242.40/242.49 [929]~E(x9291,x9292)+E(f443(x9293,x9291,x9294),f443(x9293,x9292,x9294)) % 242.40/242.49 [930]~E(x9301,x9302)+E(f443(x9303,x9304,x9301),f443(x9303,x9304,x9302)) % 242.40/242.49 [931]~E(x9311,x9312)+E(f212(x9311),f212(x9312)) % 242.40/242.49 [932]~E(x9321,x9322)+E(f867(x9321,x9323,x9324,x9325,x9326,x9327,x9328,x9329),f867(x9322,x9323,x9324,x9325,x9326,x9327,x9328,x9329)) % 242.40/242.49 [933]~E(x9331,x9332)+E(f867(x9333,x9331,x9334,x9335,x9336,x9337,x9338,x9339),f867(x9333,x9332,x9334,x9335,x9336,x9337,x9338,x9339)) % 242.40/242.49 [934]~E(x9341,x9342)+E(f867(x9343,x9344,x9341,x9345,x9346,x9347,x9348,x9349),f867(x9343,x9344,x9342,x9345,x9346,x9347,x9348,x9349)) % 242.40/242.49 [935]~E(x9351,x9352)+E(f867(x9353,x9354,x9355,x9351,x9356,x9357,x9358,x9359),f867(x9353,x9354,x9355,x9352,x9356,x9357,x9358,x9359)) % 242.40/242.49 [936]~E(x9361,x9362)+E(f867(x9363,x9364,x9365,x9366,x9361,x9367,x9368,x9369),f867(x9363,x9364,x9365,x9366,x9362,x9367,x9368,x9369)) % 242.40/242.49 [937]~E(x9371,x9372)+E(f867(x9373,x9374,x9375,x9376,x9377,x9371,x9378,x9379),f867(x9373,x9374,x9375,x9376,x9377,x9372,x9378,x9379)) % 242.40/242.49 [938]~E(x9381,x9382)+E(f867(x9383,x9384,x9385,x9386,x9387,x9388,x9381,x9389),f867(x9383,x9384,x9385,x9386,x9387,x9388,x9382,x9389)) % 242.40/242.49 [939]~E(x9391,x9392)+E(f867(x9393,x9394,x9395,x9396,x9397,x9398,x9399,x9391),f867(x9393,x9394,x9395,x9396,x9397,x9398,x9399,x9392)) % 242.40/242.49 [940]~E(x9401,x9402)+E(f872(x9401,x9403,x9404),f872(x9402,x9403,x9404)) % 242.40/242.49 [941]~E(x9411,x9412)+E(f872(x9413,x9411,x9414),f872(x9413,x9412,x9414)) % 242.40/242.49 [942]~E(x9421,x9422)+E(f872(x9423,x9424,x9421),f872(x9423,x9424,x9422)) % 242.40/242.49 [943]~E(x9431,x9432)+E(f628(x9431,x9433,x9434,x9435,x9436),f628(x9432,x9433,x9434,x9435,x9436)) % 242.40/242.49 [944]~E(x9441,x9442)+E(f628(x9443,x9441,x9444,x9445,x9446),f628(x9443,x9442,x9444,x9445,x9446)) % 242.40/242.49 [945]~E(x9451,x9452)+E(f628(x9453,x9454,x9451,x9455,x9456),f628(x9453,x9454,x9452,x9455,x9456)) % 242.40/242.49 [946]~E(x9461,x9462)+E(f628(x9463,x9464,x9465,x9461,x9466),f628(x9463,x9464,x9465,x9462,x9466)) % 242.40/242.49 [947]~E(x9471,x9472)+E(f628(x9473,x9474,x9475,x9476,x9471),f628(x9473,x9474,x9475,x9476,x9472)) % 242.40/242.49 [948]~E(x9481,x9482)+E(f922(x9481,x9483),f922(x9482,x9483)) % 242.40/242.49 [949]~E(x9491,x9492)+E(f922(x9493,x9491),f922(x9493,x9492)) % 242.40/242.49 [950]~E(x9501,x9502)+E(f375(x9501,x9503),f375(x9502,x9503)) % 242.40/242.49 [951]~E(x9511,x9512)+E(f375(x9513,x9511),f375(x9513,x9512)) % 242.40/242.49 [952]~E(x9521,x9522)+E(f531(x9521,x9523),f531(x9522,x9523)) % 242.40/242.49 [953]~E(x9531,x9532)+E(f531(x9533,x9531),f531(x9533,x9532)) % 242.40/242.49 [954]~E(x9541,x9542)+E(f166(x9541,x9543,x9544,x9545),f166(x9542,x9543,x9544,x9545)) % 242.40/242.49 [955]~E(x9551,x9552)+E(f166(x9553,x9551,x9554,x9555),f166(x9553,x9552,x9554,x9555)) % 242.40/242.49 [956]~E(x9561,x9562)+E(f166(x9563,x9564,x9561,x9565),f166(x9563,x9564,x9562,x9565)) % 242.40/242.49 [957]~E(x9571,x9572)+E(f166(x9573,x9574,x9575,x9571),f166(x9573,x9574,x9575,x9572)) % 242.40/242.49 [958]~E(x9581,x9582)+E(f195(x9581,x9583),f195(x9582,x9583)) % 242.40/242.49 [959]~E(x9591,x9592)+E(f195(x9593,x9591),f195(x9593,x9592)) % 242.40/242.49 [960]~E(x9601,x9602)+E(f58(x9601),f58(x9602)) % 242.40/242.49 [961]~E(x9611,x9612)+E(f124(x9611,x9613),f124(x9612,x9613)) % 242.40/242.49 [962]~E(x9621,x9622)+E(f124(x9623,x9621),f124(x9623,x9622)) % 242.40/242.49 [963]~E(x9631,x9632)+E(f356(x9631,x9633,x9634,x9635,x9636),f356(x9632,x9633,x9634,x9635,x9636)) % 242.40/242.49 [964]~E(x9641,x9642)+E(f356(x9643,x9641,x9644,x9645,x9646),f356(x9643,x9642,x9644,x9645,x9646)) % 242.40/242.49 [965]~E(x9651,x9652)+E(f356(x9653,x9654,x9651,x9655,x9656),f356(x9653,x9654,x9652,x9655,x9656)) % 242.40/242.49 [966]~E(x9661,x9662)+E(f356(x9663,x9664,x9665,x9661,x9666),f356(x9663,x9664,x9665,x9662,x9666)) % 242.40/242.49 [967]~E(x9671,x9672)+E(f356(x9673,x9674,x9675,x9676,x9671),f356(x9673,x9674,x9675,x9676,x9672)) % 242.40/242.49 [968]~E(x9681,x9682)+E(f129(x9681,x9683,x9684),f129(x9682,x9683,x9684)) % 242.40/242.49 [969]~E(x9691,x9692)+E(f129(x9693,x9691,x9694),f129(x9693,x9692,x9694)) % 242.40/242.49 [970]~E(x9701,x9702)+E(f129(x9703,x9704,x9701),f129(x9703,x9704,x9702)) % 242.40/242.49 [971]~E(x9711,x9712)+E(f231(x9711,x9713),f231(x9712,x9713)) % 242.40/242.49 [972]~E(x9721,x9722)+E(f231(x9723,x9721),f231(x9723,x9722)) % 242.40/242.49 [973]~E(x9731,x9732)+E(f595(x9731,x9733),f595(x9732,x9733)) % 242.40/242.49 [974]~E(x9741,x9742)+E(f595(x9743,x9741),f595(x9743,x9742)) % 242.40/242.49 [975]~E(x9751,x9752)+E(f160(x9751,x9753),f160(x9752,x9753)) % 242.40/242.49 [976]~E(x9761,x9762)+E(f160(x9763,x9761),f160(x9763,x9762)) % 242.40/242.49 [977]~E(x9771,x9772)+E(f138(x9771),f138(x9772)) % 242.40/242.49 [978]~E(x9781,x9782)+E(f435(x9781,x9783,x9784),f435(x9782,x9783,x9784)) % 242.40/242.49 [979]~E(x9791,x9792)+E(f435(x9793,x9791,x9794),f435(x9793,x9792,x9794)) % 242.40/242.49 [980]~E(x9801,x9802)+E(f435(x9803,x9804,x9801),f435(x9803,x9804,x9802)) % 242.40/242.49 [981]~E(x9811,x9812)+E(f881(x9811,x9813,x9814),f881(x9812,x9813,x9814)) % 242.40/242.49 [982]~E(x9821,x9822)+E(f881(x9823,x9821,x9824),f881(x9823,x9822,x9824)) % 242.40/242.49 [983]~E(x9831,x9832)+E(f881(x9833,x9834,x9831),f881(x9833,x9834,x9832)) % 242.40/242.49 [984]~E(x9841,x9842)+E(f670(x9841,x9843,x9844,x9845),f670(x9842,x9843,x9844,x9845)) % 242.40/242.49 [985]~E(x9851,x9852)+E(f670(x9853,x9851,x9854,x9855),f670(x9853,x9852,x9854,x9855)) % 242.40/242.49 [986]~E(x9861,x9862)+E(f670(x9863,x9864,x9861,x9865),f670(x9863,x9864,x9862,x9865)) % 242.40/242.49 [987]~E(x9871,x9872)+E(f670(x9873,x9874,x9875,x9871),f670(x9873,x9874,x9875,x9872)) % 242.40/242.49 [988]~E(x9881,x9882)+E(f526(x9881,x9883,x9884,x9885),f526(x9882,x9883,x9884,x9885)) % 242.40/242.49 [989]~E(x9891,x9892)+E(f526(x9893,x9891,x9894,x9895),f526(x9893,x9892,x9894,x9895)) % 242.40/242.49 [990]~E(x9901,x9902)+E(f526(x9903,x9904,x9901,x9905),f526(x9903,x9904,x9902,x9905)) % 242.40/242.49 [991]~E(x9911,x9912)+E(f526(x9913,x9914,x9915,x9911),f526(x9913,x9914,x9915,x9912)) % 242.40/242.49 [992]~E(x9921,x9922)+E(f222(x9921,x9923),f222(x9922,x9923)) % 242.40/242.49 [993]~E(x9931,x9932)+E(f222(x9933,x9931),f222(x9933,x9932)) % 242.40/242.49 [994]~E(x9941,x9942)+E(f767(x9941,x9943,x9944,x9945,x9946,x9947,x9948),f767(x9942,x9943,x9944,x9945,x9946,x9947,x9948)) % 242.40/242.49 [995]~E(x9951,x9952)+E(f767(x9953,x9951,x9954,x9955,x9956,x9957,x9958),f767(x9953,x9952,x9954,x9955,x9956,x9957,x9958)) % 242.40/242.49 [996]~E(x9961,x9962)+E(f767(x9963,x9964,x9961,x9965,x9966,x9967,x9968),f767(x9963,x9964,x9962,x9965,x9966,x9967,x9968)) % 242.40/242.49 [997]~E(x9971,x9972)+E(f767(x9973,x9974,x9975,x9971,x9976,x9977,x9978),f767(x9973,x9974,x9975,x9972,x9976,x9977,x9978)) % 242.40/242.49 [998]~E(x9981,x9982)+E(f767(x9983,x9984,x9985,x9986,x9981,x9987,x9988),f767(x9983,x9984,x9985,x9986,x9982,x9987,x9988)) % 242.40/242.49 [999]~E(x9991,x9992)+E(f767(x9993,x9994,x9995,x9996,x9997,x9991,x9998),f767(x9993,x9994,x9995,x9996,x9997,x9992,x9998)) % 242.40/242.49 [1000]~E(x10001,x10002)+E(f767(x10003,x10004,x10005,x10006,x10007,x10008,x10001),f767(x10003,x10004,x10005,x10006,x10007,x10008,x10002)) % 242.40/242.49 [1001]~E(x10011,x10012)+E(f910(x10011,x10013),f910(x10012,x10013)) % 242.40/242.49 [1002]~E(x10021,x10022)+E(f910(x10023,x10021),f910(x10023,x10022)) % 242.40/242.49 [1003]~E(x10031,x10032)+E(f734(x10031,x10033,x10034),f734(x10032,x10033,x10034)) % 242.40/242.49 [1004]~E(x10041,x10042)+E(f734(x10043,x10041,x10044),f734(x10043,x10042,x10044)) % 242.40/242.49 [1005]~E(x10051,x10052)+E(f734(x10053,x10054,x10051),f734(x10053,x10054,x10052)) % 242.40/242.49 [1006]~E(x10061,x10062)+E(f874(x10061,x10063,x10064),f874(x10062,x10063,x10064)) % 242.40/242.49 [1007]~E(x10071,x10072)+E(f874(x10073,x10071,x10074),f874(x10073,x10072,x10074)) % 242.40/242.49 [1008]~E(x10081,x10082)+E(f874(x10083,x10084,x10081),f874(x10083,x10084,x10082)) % 242.40/242.49 [1009]~E(x10091,x10092)+E(f534(x10091,x10093,x10094,x10095,x10096),f534(x10092,x10093,x10094,x10095,x10096)) % 242.40/242.49 [1010]~E(x10101,x10102)+E(f534(x10103,x10101,x10104,x10105,x10106),f534(x10103,x10102,x10104,x10105,x10106)) % 242.40/242.49 [1011]~E(x10111,x10112)+E(f534(x10113,x10114,x10111,x10115,x10116),f534(x10113,x10114,x10112,x10115,x10116)) % 242.40/242.49 [1012]~E(x10121,x10122)+E(f534(x10123,x10124,x10125,x10121,x10126),f534(x10123,x10124,x10125,x10122,x10126)) % 242.40/242.49 [1013]~E(x10131,x10132)+E(f534(x10133,x10134,x10135,x10136,x10131),f534(x10133,x10134,x10135,x10136,x10132)) % 242.40/242.49 [1014]~E(x10141,x10142)+E(f623(x10141,x10143,x10144,x10145,x10146),f623(x10142,x10143,x10144,x10145,x10146)) % 242.40/242.49 [1015]~E(x10151,x10152)+E(f623(x10153,x10151,x10154,x10155,x10156),f623(x10153,x10152,x10154,x10155,x10156)) % 242.40/242.49 [1016]~E(x10161,x10162)+E(f623(x10163,x10164,x10161,x10165,x10166),f623(x10163,x10164,x10162,x10165,x10166)) % 242.40/242.49 [1017]~E(x10171,x10172)+E(f623(x10173,x10174,x10175,x10171,x10176),f623(x10173,x10174,x10175,x10172,x10176)) % 242.40/242.49 [1018]~E(x10181,x10182)+E(f623(x10183,x10184,x10185,x10186,x10181),f623(x10183,x10184,x10185,x10186,x10182)) % 242.40/242.49 [1019]~E(x10191,x10192)+E(f165(x10191,x10193),f165(x10192,x10193)) % 242.40/242.49 [1020]~E(x10201,x10202)+E(f165(x10203,x10201),f165(x10203,x10202)) % 242.40/242.49 [1021]~E(x10211,x10212)+E(f658(x10211,x10213),f658(x10212,x10213)) % 242.40/242.49 [1022]~E(x10221,x10222)+E(f658(x10223,x10221),f658(x10223,x10222)) % 242.40/242.49 [1023]~E(x10231,x10232)+E(f696(x10231,x10233),f696(x10232,x10233)) % 242.40/242.49 [1024]~E(x10241,x10242)+E(f696(x10243,x10241),f696(x10243,x10242)) % 242.40/242.49 [1025]~E(x10251,x10252)+E(f657(x10251,x10253,x10254),f657(x10252,x10253,x10254)) % 242.40/242.49 [1026]~E(x10261,x10262)+E(f657(x10263,x10261,x10264),f657(x10263,x10262,x10264)) % 242.40/242.49 [1027]~E(x10271,x10272)+E(f657(x10273,x10274,x10271),f657(x10273,x10274,x10272)) % 242.40/242.49 [1028]~E(x10281,x10282)+E(f280(x10281,x10283,x10284,x10285),f280(x10282,x10283,x10284,x10285)) % 242.40/242.49 [1029]~E(x10291,x10292)+E(f280(x10293,x10291,x10294,x10295),f280(x10293,x10292,x10294,x10295)) % 242.40/242.49 [1030]~E(x10301,x10302)+E(f280(x10303,x10304,x10301,x10305),f280(x10303,x10304,x10302,x10305)) % 242.40/242.49 [1031]~E(x10311,x10312)+E(f280(x10313,x10314,x10315,x10311),f280(x10313,x10314,x10315,x10312)) % 242.40/242.49 [1032]~E(x10321,x10322)+E(f651(x10321,x10323,x10324,x10325),f651(x10322,x10323,x10324,x10325)) % 242.40/242.49 [1033]~E(x10331,x10332)+E(f651(x10333,x10331,x10334,x10335),f651(x10333,x10332,x10334,x10335)) % 242.40/242.49 [1034]~E(x10341,x10342)+E(f651(x10343,x10344,x10341,x10345),f651(x10343,x10344,x10342,x10345)) % 242.40/242.49 [1035]~E(x10351,x10352)+E(f651(x10353,x10354,x10355,x10351),f651(x10353,x10354,x10355,x10352)) % 242.40/242.49 [1036]~E(x10361,x10362)+E(f426(x10361,x10363,x10364),f426(x10362,x10363,x10364)) % 242.40/242.49 [1037]~E(x10371,x10372)+E(f426(x10373,x10371,x10374),f426(x10373,x10372,x10374)) % 242.40/242.49 [1038]~E(x10381,x10382)+E(f426(x10383,x10384,x10381),f426(x10383,x10384,x10382)) % 242.40/242.49 [1039]~E(x10391,x10392)+E(f410(x10391,x10393,x10394,x10395),f410(x10392,x10393,x10394,x10395)) % 242.40/242.49 [1040]~E(x10401,x10402)+E(f410(x10403,x10401,x10404,x10405),f410(x10403,x10402,x10404,x10405)) % 242.40/242.49 [1041]~E(x10411,x10412)+E(f410(x10413,x10414,x10411,x10415),f410(x10413,x10414,x10412,x10415)) % 242.40/242.49 [1042]~E(x10421,x10422)+E(f410(x10423,x10424,x10425,x10421),f410(x10423,x10424,x10425,x10422)) % 242.40/242.49 [1043]~E(x10431,x10432)+E(f911(x10431,x10433,x10434),f911(x10432,x10433,x10434)) % 242.40/242.49 [1044]~E(x10441,x10442)+E(f911(x10443,x10441,x10444),f911(x10443,x10442,x10444)) % 242.40/242.49 [1045]~E(x10451,x10452)+E(f911(x10453,x10454,x10451),f911(x10453,x10454,x10452)) % 242.40/242.49 [1046]~E(x10461,x10462)+E(f619(x10461,x10463,x10464,x10465,x10466),f619(x10462,x10463,x10464,x10465,x10466)) % 242.40/242.49 [1047]~E(x10471,x10472)+E(f619(x10473,x10471,x10474,x10475,x10476),f619(x10473,x10472,x10474,x10475,x10476)) % 242.40/242.49 [1048]~E(x10481,x10482)+E(f619(x10483,x10484,x10481,x10485,x10486),f619(x10483,x10484,x10482,x10485,x10486)) % 242.40/242.49 [1049]~E(x10491,x10492)+E(f619(x10493,x10494,x10495,x10491,x10496),f619(x10493,x10494,x10495,x10492,x10496)) % 242.40/242.49 [1050]~E(x10501,x10502)+E(f619(x10503,x10504,x10505,x10506,x10501),f619(x10503,x10504,x10505,x10506,x10502)) % 242.40/242.49 [1051]~E(x10511,x10512)+E(f600(x10511,x10513,x10514),f600(x10512,x10513,x10514)) % 242.40/242.49 [1052]~E(x10521,x10522)+E(f600(x10523,x10521,x10524),f600(x10523,x10522,x10524)) % 242.40/242.49 [1053]~E(x10531,x10532)+E(f600(x10533,x10534,x10531),f600(x10533,x10534,x10532)) % 242.40/242.49 [1054]~E(x10541,x10542)+E(f70(x10541,x10543,x10544),f70(x10542,x10543,x10544)) % 242.40/242.49 [1055]~E(x10551,x10552)+E(f70(x10553,x10551,x10554),f70(x10553,x10552,x10554)) % 242.40/242.49 [1056]~E(x10561,x10562)+E(f70(x10563,x10564,x10561),f70(x10563,x10564,x10562)) % 242.40/242.49 [1057]~E(x10571,x10572)+E(f445(x10571,x10573,x10574,x10575,x10576),f445(x10572,x10573,x10574,x10575,x10576)) % 242.40/242.49 [1058]~E(x10581,x10582)+E(f445(x10583,x10581,x10584,x10585,x10586),f445(x10583,x10582,x10584,x10585,x10586)) % 242.40/242.49 [1059]~E(x10591,x10592)+E(f445(x10593,x10594,x10591,x10595,x10596),f445(x10593,x10594,x10592,x10595,x10596)) % 242.40/242.49 [1060]~E(x10601,x10602)+E(f445(x10603,x10604,x10605,x10601,x10606),f445(x10603,x10604,x10605,x10602,x10606)) % 242.40/242.49 [1061]~E(x10611,x10612)+E(f445(x10613,x10614,x10615,x10616,x10611),f445(x10613,x10614,x10615,x10616,x10612)) % 242.40/242.49 [1062]~E(x10621,x10622)+E(f120(x10621,x10623,x10624),f120(x10622,x10623,x10624)) % 242.40/242.49 [1063]~E(x10631,x10632)+E(f120(x10633,x10631,x10634),f120(x10633,x10632,x10634)) % 242.40/242.49 [1064]~E(x10641,x10642)+E(f120(x10643,x10644,x10641),f120(x10643,x10644,x10642)) % 242.40/242.49 [1065]~E(x10651,x10652)+E(f316(x10651,x10653,x10654,x10655),f316(x10652,x10653,x10654,x10655)) % 242.40/242.49 [1066]~E(x10661,x10662)+E(f316(x10663,x10661,x10664,x10665),f316(x10663,x10662,x10664,x10665)) % 242.40/242.49 [1067]~E(x10671,x10672)+E(f316(x10673,x10674,x10671,x10675),f316(x10673,x10674,x10672,x10675)) % 242.40/242.49 [1068]~E(x10681,x10682)+E(f316(x10683,x10684,x10685,x10681),f316(x10683,x10684,x10685,x10682)) % 242.40/242.49 [1069]~E(x10691,x10692)+E(f726(x10691,x10693),f726(x10692,x10693)) % 242.40/242.49 [1070]~E(x10701,x10702)+E(f726(x10703,x10701),f726(x10703,x10702)) % 242.40/242.49 [1071]~E(x10711,x10712)+E(f304(x10711),f304(x10712)) % 242.40/242.49 [1072]~E(x10721,x10722)+E(f724(x10721,x10723,x10724),f724(x10722,x10723,x10724)) % 242.40/242.49 [1073]~E(x10731,x10732)+E(f724(x10733,x10731,x10734),f724(x10733,x10732,x10734)) % 242.40/242.49 [1074]~E(x10741,x10742)+E(f724(x10743,x10744,x10741),f724(x10743,x10744,x10742)) % 242.40/242.49 [1075]~E(x10751,x10752)+E(f187(x10751,x10753,x10754),f187(x10752,x10753,x10754)) % 242.40/242.49 [1076]~E(x10761,x10762)+E(f187(x10763,x10761,x10764),f187(x10763,x10762,x10764)) % 242.40/242.49 [1077]~E(x10771,x10772)+E(f187(x10773,x10774,x10771),f187(x10773,x10774,x10772)) % 242.40/242.49 [1078]~E(x10781,x10782)+E(f119(x10781,x10783,x10784),f119(x10782,x10783,x10784)) % 242.40/242.49 [1079]~E(x10791,x10792)+E(f119(x10793,x10791,x10794),f119(x10793,x10792,x10794)) % 242.40/242.49 [1080]~E(x10801,x10802)+E(f119(x10803,x10804,x10801),f119(x10803,x10804,x10802)) % 242.40/242.49 [1081]~E(x10811,x10812)+E(f859(x10811,x10813,x10814,x10815,x10816,x10817),f859(x10812,x10813,x10814,x10815,x10816,x10817)) % 242.40/242.49 [1082]~E(x10821,x10822)+E(f859(x10823,x10821,x10824,x10825,x10826,x10827),f859(x10823,x10822,x10824,x10825,x10826,x10827)) % 242.40/242.49 [1083]~E(x10831,x10832)+E(f859(x10833,x10834,x10831,x10835,x10836,x10837),f859(x10833,x10834,x10832,x10835,x10836,x10837)) % 242.40/242.49 [1084]~E(x10841,x10842)+E(f859(x10843,x10844,x10845,x10841,x10846,x10847),f859(x10843,x10844,x10845,x10842,x10846,x10847)) % 242.40/242.49 [1085]~E(x10851,x10852)+E(f859(x10853,x10854,x10855,x10856,x10851,x10857),f859(x10853,x10854,x10855,x10856,x10852,x10857)) % 242.40/242.49 [1086]~E(x10861,x10862)+E(f859(x10863,x10864,x10865,x10866,x10867,x10861),f859(x10863,x10864,x10865,x10866,x10867,x10862)) % 242.40/242.49 [1087]~E(x10871,x10872)+E(f69(x10871,x10873,x10874),f69(x10872,x10873,x10874)) % 242.40/242.49 [1088]~E(x10881,x10882)+E(f69(x10883,x10881,x10884),f69(x10883,x10882,x10884)) % 242.40/242.49 [1089]~E(x10891,x10892)+E(f69(x10893,x10894,x10891),f69(x10893,x10894,x10892)) % 242.40/242.49 [1090]~E(x10901,x10902)+E(f739(x10901,x10903,x10904),f739(x10902,x10903,x10904)) % 242.40/242.49 [1091]~E(x10911,x10912)+E(f739(x10913,x10911,x10914),f739(x10913,x10912,x10914)) % 242.40/242.49 [1092]~E(x10921,x10922)+E(f739(x10923,x10924,x10921),f739(x10923,x10924,x10922)) % 242.40/242.49 [1093]~E(x10931,x10932)+E(f773(x10931,x10933,x10934,x10935),f773(x10932,x10933,x10934,x10935)) % 242.40/242.49 [1094]~E(x10941,x10942)+E(f773(x10943,x10941,x10944,x10945),f773(x10943,x10942,x10944,x10945)) % 242.40/242.49 [1095]~E(x10951,x10952)+E(f773(x10953,x10954,x10951,x10955),f773(x10953,x10954,x10952,x10955)) % 242.40/242.49 [1096]~E(x10961,x10962)+E(f773(x10963,x10964,x10965,x10961),f773(x10963,x10964,x10965,x10962)) % 242.40/242.49 [1097]~E(x10971,x10972)+E(f276(x10971,x10973),f276(x10972,x10973)) % 242.40/242.49 [1098]~E(x10981,x10982)+E(f276(x10983,x10981),f276(x10983,x10982)) % 242.40/242.49 [1099]~E(x10991,x10992)+E(f581(x10991),f581(x10992)) % 242.40/242.49 [1100]~E(x11001,x11002)+E(f480(x11001,x11003,x11004),f480(x11002,x11003,x11004)) % 242.40/242.49 [1101]~E(x11011,x11012)+E(f480(x11013,x11011,x11014),f480(x11013,x11012,x11014)) % 242.40/242.49 [1102]~E(x11021,x11022)+E(f480(x11023,x11024,x11021),f480(x11023,x11024,x11022)) % 242.40/242.49 [1103]~E(x11031,x11032)+E(f357(x11031,x11033,x11034,x11035,x11036,x11037,x11038),f357(x11032,x11033,x11034,x11035,x11036,x11037,x11038)) % 242.40/242.49 [1104]~E(x11041,x11042)+E(f357(x11043,x11041,x11044,x11045,x11046,x11047,x11048),f357(x11043,x11042,x11044,x11045,x11046,x11047,x11048)) % 242.40/242.49 [1105]~E(x11051,x11052)+E(f357(x11053,x11054,x11051,x11055,x11056,x11057,x11058),f357(x11053,x11054,x11052,x11055,x11056,x11057,x11058)) % 242.40/242.49 [1106]~E(x11061,x11062)+E(f357(x11063,x11064,x11065,x11061,x11066,x11067,x11068),f357(x11063,x11064,x11065,x11062,x11066,x11067,x11068)) % 242.40/242.49 [1107]~E(x11071,x11072)+E(f357(x11073,x11074,x11075,x11076,x11071,x11077,x11078),f357(x11073,x11074,x11075,x11076,x11072,x11077,x11078)) % 242.40/242.49 [1108]~E(x11081,x11082)+E(f357(x11083,x11084,x11085,x11086,x11087,x11081,x11088),f357(x11083,x11084,x11085,x11086,x11087,x11082,x11088)) % 242.40/242.49 [1109]~E(x11091,x11092)+E(f357(x11093,x11094,x11095,x11096,x11097,x11098,x11091),f357(x11093,x11094,x11095,x11096,x11097,x11098,x11092)) % 242.40/242.49 [1110]~E(x11101,x11102)+E(f758(x11101,x11103),f758(x11102,x11103)) % 242.40/242.49 [1111]~E(x11111,x11112)+E(f758(x11113,x11111),f758(x11113,x11112)) % 242.40/242.49 [1112]~E(x11121,x11122)+E(f441(x11121,x11123,x11124,x11125,x11126),f441(x11122,x11123,x11124,x11125,x11126)) % 242.40/242.49 [1113]~E(x11131,x11132)+E(f441(x11133,x11131,x11134,x11135,x11136),f441(x11133,x11132,x11134,x11135,x11136)) % 242.40/242.49 [1114]~E(x11141,x11142)+E(f441(x11143,x11144,x11141,x11145,x11146),f441(x11143,x11144,x11142,x11145,x11146)) % 242.40/242.49 [1115]~E(x11151,x11152)+E(f441(x11153,x11154,x11155,x11151,x11156),f441(x11153,x11154,x11155,x11152,x11156)) % 242.40/242.49 [1116]~E(x11161,x11162)+E(f441(x11163,x11164,x11165,x11166,x11161),f441(x11163,x11164,x11165,x11166,x11162)) % 242.40/242.49 [1117]~E(x11171,x11172)+E(f235(x11171,x11173,x11174,x11175),f235(x11172,x11173,x11174,x11175)) % 242.40/242.49 [1118]~E(x11181,x11182)+E(f235(x11183,x11181,x11184,x11185),f235(x11183,x11182,x11184,x11185)) % 242.40/242.49 [1119]~E(x11191,x11192)+E(f235(x11193,x11194,x11191,x11195),f235(x11193,x11194,x11192,x11195)) % 242.40/242.49 [1120]~E(x11201,x11202)+E(f235(x11203,x11204,x11205,x11201),f235(x11203,x11204,x11205,x11202)) % 242.40/242.49 [1121]~E(x11211,x11212)+E(f396(x11211,x11213,x11214,x11215),f396(x11212,x11213,x11214,x11215)) % 242.40/242.49 [1122]~E(x11221,x11222)+E(f396(x11223,x11221,x11224,x11225),f396(x11223,x11222,x11224,x11225)) % 242.40/242.49 [1123]~E(x11231,x11232)+E(f396(x11233,x11234,x11231,x11235),f396(x11233,x11234,x11232,x11235)) % 242.40/242.49 [1124]~E(x11241,x11242)+E(f396(x11243,x11244,x11245,x11241),f396(x11243,x11244,x11245,x11242)) % 242.40/242.49 [1125]~E(x11251,x11252)+E(f377(x11251,x11253),f377(x11252,x11253)) % 242.40/242.49 [1126]~E(x11261,x11262)+E(f377(x11263,x11261),f377(x11263,x11262)) % 242.40/242.49 [1127]~E(x11271,x11272)+E(f307(x11271),f307(x11272)) % 242.40/242.49 [1128]~E(x11281,x11282)+E(f572(x11281,x11283,x11284,x11285,x11286,x11287,x11288),f572(x11282,x11283,x11284,x11285,x11286,x11287,x11288)) % 242.40/242.49 [1129]~E(x11291,x11292)+E(f572(x11293,x11291,x11294,x11295,x11296,x11297,x11298),f572(x11293,x11292,x11294,x11295,x11296,x11297,x11298)) % 242.40/242.49 [1130]~E(x11301,x11302)+E(f572(x11303,x11304,x11301,x11305,x11306,x11307,x11308),f572(x11303,x11304,x11302,x11305,x11306,x11307,x11308)) % 242.40/242.49 [1131]~E(x11311,x11312)+E(f572(x11313,x11314,x11315,x11311,x11316,x11317,x11318),f572(x11313,x11314,x11315,x11312,x11316,x11317,x11318)) % 242.40/242.49 [1132]~E(x11321,x11322)+E(f572(x11323,x11324,x11325,x11326,x11321,x11327,x11328),f572(x11323,x11324,x11325,x11326,x11322,x11327,x11328)) % 242.40/242.49 [1133]~E(x11331,x11332)+E(f572(x11333,x11334,x11335,x11336,x11337,x11331,x11338),f572(x11333,x11334,x11335,x11336,x11337,x11332,x11338)) % 242.40/242.49 [1134]~E(x11341,x11342)+E(f572(x11343,x11344,x11345,x11346,x11347,x11348,x11341),f572(x11343,x11344,x11345,x11346,x11347,x11348,x11342)) % 242.40/242.49 [1135]~E(x11351,x11352)+E(f466(x11351,x11353,x11354,x11355,x11356),f466(x11352,x11353,x11354,x11355,x11356)) % 242.40/242.49 [1136]~E(x11361,x11362)+E(f466(x11363,x11361,x11364,x11365,x11366),f466(x11363,x11362,x11364,x11365,x11366)) % 242.40/242.49 [1137]~E(x11371,x11372)+E(f466(x11373,x11374,x11371,x11375,x11376),f466(x11373,x11374,x11372,x11375,x11376)) % 242.40/242.49 [1138]~E(x11381,x11382)+E(f466(x11383,x11384,x11385,x11381,x11386),f466(x11383,x11384,x11385,x11382,x11386)) % 242.40/242.49 [1139]~E(x11391,x11392)+E(f466(x11393,x11394,x11395,x11396,x11391),f466(x11393,x11394,x11395,x11396,x11392)) % 242.40/242.49 [1140]~E(x11401,x11402)+E(f633(x11401,x11403,x11404),f633(x11402,x11403,x11404)) % 242.40/242.49 [1141]~E(x11411,x11412)+E(f633(x11413,x11411,x11414),f633(x11413,x11412,x11414)) % 242.40/242.49 [1142]~E(x11421,x11422)+E(f633(x11423,x11424,x11421),f633(x11423,x11424,x11422)) % 242.40/242.49 [1143]~E(x11431,x11432)+E(f676(x11431,x11433,x11434,x11435,x11436),f676(x11432,x11433,x11434,x11435,x11436)) % 242.40/242.49 [1144]~E(x11441,x11442)+E(f676(x11443,x11441,x11444,x11445,x11446),f676(x11443,x11442,x11444,x11445,x11446)) % 242.40/242.49 [1145]~E(x11451,x11452)+E(f676(x11453,x11454,x11451,x11455,x11456),f676(x11453,x11454,x11452,x11455,x11456)) % 242.40/242.49 [1146]~E(x11461,x11462)+E(f676(x11463,x11464,x11465,x11461,x11466),f676(x11463,x11464,x11465,x11462,x11466)) % 242.40/242.49 [1147]~E(x11471,x11472)+E(f676(x11473,x11474,x11475,x11476,x11471),f676(x11473,x11474,x11475,x11476,x11472)) % 242.40/242.49 [1148]~E(x11481,x11482)+E(f603(x11481,x11483,x11484,x11485,x11486),f603(x11482,x11483,x11484,x11485,x11486)) % 242.40/242.49 [1149]~E(x11491,x11492)+E(f603(x11493,x11491,x11494,x11495,x11496),f603(x11493,x11492,x11494,x11495,x11496)) % 242.40/242.49 [1150]~E(x11501,x11502)+E(f603(x11503,x11504,x11501,x11505,x11506),f603(x11503,x11504,x11502,x11505,x11506)) % 242.40/242.49 [1151]~E(x11511,x11512)+E(f603(x11513,x11514,x11515,x11511,x11516),f603(x11513,x11514,x11515,x11512,x11516)) % 242.40/242.49 [1152]~E(x11521,x11522)+E(f603(x11523,x11524,x11525,x11526,x11521),f603(x11523,x11524,x11525,x11526,x11522)) % 242.40/242.49 [1153]~E(x11531,x11532)+E(f509(x11531,x11533,x11534,x11535,x11536,x11537,x11538),f509(x11532,x11533,x11534,x11535,x11536,x11537,x11538)) % 242.40/242.49 [1154]~E(x11541,x11542)+E(f509(x11543,x11541,x11544,x11545,x11546,x11547,x11548),f509(x11543,x11542,x11544,x11545,x11546,x11547,x11548)) % 242.40/242.49 [1155]~E(x11551,x11552)+E(f509(x11553,x11554,x11551,x11555,x11556,x11557,x11558),f509(x11553,x11554,x11552,x11555,x11556,x11557,x11558)) % 242.40/242.49 [1156]~E(x11561,x11562)+E(f509(x11563,x11564,x11565,x11561,x11566,x11567,x11568),f509(x11563,x11564,x11565,x11562,x11566,x11567,x11568)) % 242.40/242.49 [1157]~E(x11571,x11572)+E(f509(x11573,x11574,x11575,x11576,x11571,x11577,x11578),f509(x11573,x11574,x11575,x11576,x11572,x11577,x11578)) % 242.40/242.49 [1158]~E(x11581,x11582)+E(f509(x11583,x11584,x11585,x11586,x11587,x11581,x11588),f509(x11583,x11584,x11585,x11586,x11587,x11582,x11588)) % 242.40/242.49 [1159]~E(x11591,x11592)+E(f509(x11593,x11594,x11595,x11596,x11597,x11598,x11591),f509(x11593,x11594,x11595,x11596,x11597,x11598,x11592)) % 242.40/242.49 [1160]~E(x11601,x11602)+E(f395(x11601,x11603,x11604,x11605),f395(x11602,x11603,x11604,x11605)) % 242.40/242.49 [1161]~E(x11611,x11612)+E(f395(x11613,x11611,x11614,x11615),f395(x11613,x11612,x11614,x11615)) % 242.40/242.49 [1162]~E(x11621,x11622)+E(f395(x11623,x11624,x11621,x11625),f395(x11623,x11624,x11622,x11625)) % 242.40/242.49 [1163]~E(x11631,x11632)+E(f395(x11633,x11634,x11635,x11631),f395(x11633,x11634,x11635,x11632)) % 242.40/242.49 [1164]~E(x11641,x11642)+E(f214(x11641,x11643,x11644,x11645),f214(x11642,x11643,x11644,x11645)) % 242.40/242.49 [1165]~E(x11651,x11652)+E(f214(x11653,x11651,x11654,x11655),f214(x11653,x11652,x11654,x11655)) % 242.40/242.49 [1166]~E(x11661,x11662)+E(f214(x11663,x11664,x11661,x11665),f214(x11663,x11664,x11662,x11665)) % 242.40/242.49 [1167]~E(x11671,x11672)+E(f214(x11673,x11674,x11675,x11671),f214(x11673,x11674,x11675,x11672)) % 242.40/242.49 [1168]~E(x11681,x11682)+E(f594(x11681,x11683,x11684,x11685),f594(x11682,x11683,x11684,x11685)) % 242.40/242.49 [1169]~E(x11691,x11692)+E(f594(x11693,x11691,x11694,x11695),f594(x11693,x11692,x11694,x11695)) % 242.40/242.49 [1170]~E(x11701,x11702)+E(f594(x11703,x11704,x11701,x11705),f594(x11703,x11704,x11702,x11705)) % 242.40/242.49 [1171]~E(x11711,x11712)+E(f594(x11713,x11714,x11715,x11711),f594(x11713,x11714,x11715,x11712)) % 242.40/242.49 [1172]~E(x11721,x11722)+E(f791(x11721,x11723,x11724),f791(x11722,x11723,x11724)) % 242.40/242.49 [1173]~E(x11731,x11732)+E(f791(x11733,x11731,x11734),f791(x11733,x11732,x11734)) % 242.40/242.49 [1174]~E(x11741,x11742)+E(f791(x11743,x11744,x11741),f791(x11743,x11744,x11742)) % 242.40/242.49 [1175]~E(x11751,x11752)+E(f671(x11751,x11753,x11754,x11755),f671(x11752,x11753,x11754,x11755)) % 242.40/242.49 [1176]~E(x11761,x11762)+E(f671(x11763,x11761,x11764,x11765),f671(x11763,x11762,x11764,x11765)) % 242.40/242.49 [1177]~E(x11771,x11772)+E(f671(x11773,x11774,x11771,x11775),f671(x11773,x11774,x11772,x11775)) % 242.40/242.49 [1178]~E(x11781,x11782)+E(f671(x11783,x11784,x11785,x11781),f671(x11783,x11784,x11785,x11782)) % 242.40/242.49 [1179]~E(x11791,x11792)+E(f389(x11791,x11793),f389(x11792,x11793)) % 242.40/242.49 [1180]~E(x11801,x11802)+E(f389(x11803,x11801),f389(x11803,x11802)) % 242.40/242.49 [1181]~E(x11811,x11812)+E(f879(x11811,x11813,x11814,x11815,x11816,x11817),f879(x11812,x11813,x11814,x11815,x11816,x11817)) % 242.40/242.49 [1182]~E(x11821,x11822)+E(f879(x11823,x11821,x11824,x11825,x11826,x11827),f879(x11823,x11822,x11824,x11825,x11826,x11827)) % 242.40/242.49 [1183]~E(x11831,x11832)+E(f879(x11833,x11834,x11831,x11835,x11836,x11837),f879(x11833,x11834,x11832,x11835,x11836,x11837)) % 242.40/242.49 [1184]~E(x11841,x11842)+E(f879(x11843,x11844,x11845,x11841,x11846,x11847),f879(x11843,x11844,x11845,x11842,x11846,x11847)) % 242.40/242.49 [1185]~E(x11851,x11852)+E(f879(x11853,x11854,x11855,x11856,x11851,x11857),f879(x11853,x11854,x11855,x11856,x11852,x11857)) % 242.40/242.49 [1186]~E(x11861,x11862)+E(f879(x11863,x11864,x11865,x11866,x11867,x11861),f879(x11863,x11864,x11865,x11866,x11867,x11862)) % 242.40/242.49 [1187]~E(x11871,x11872)+E(f756(x11871,x11873,x11874,x11875,x11876),f756(x11872,x11873,x11874,x11875,x11876)) % 242.40/242.49 [1188]~E(x11881,x11882)+E(f756(x11883,x11881,x11884,x11885,x11886),f756(x11883,x11882,x11884,x11885,x11886)) % 242.40/242.49 [1189]~E(x11891,x11892)+E(f756(x11893,x11894,x11891,x11895,x11896),f756(x11893,x11894,x11892,x11895,x11896)) % 242.40/242.49 [1190]~E(x11901,x11902)+E(f756(x11903,x11904,x11905,x11901,x11906),f756(x11903,x11904,x11905,x11902,x11906)) % 242.40/242.49 [1191]~E(x11911,x11912)+E(f756(x11913,x11914,x11915,x11916,x11911),f756(x11913,x11914,x11915,x11916,x11912)) % 242.40/242.49 [1192]~E(x11921,x11922)+E(f797(x11921,x11923,x11924),f797(x11922,x11923,x11924)) % 242.40/242.49 [1193]~E(x11931,x11932)+E(f797(x11933,x11931,x11934),f797(x11933,x11932,x11934)) % 242.40/242.49 [1194]~E(x11941,x11942)+E(f797(x11943,x11944,x11941),f797(x11943,x11944,x11942)) % 242.40/242.49 [1195]~E(x11951,x11952)+E(f729(x11951,x11953),f729(x11952,x11953)) % 242.40/242.49 [1196]~E(x11961,x11962)+E(f729(x11963,x11961),f729(x11963,x11962)) % 242.40/242.49 [1197]~E(x11971,x11972)+E(f650(x11971,x11973,x11974,x11975),f650(x11972,x11973,x11974,x11975)) % 242.40/242.49 [1198]~E(x11981,x11982)+E(f650(x11983,x11981,x11984,x11985),f650(x11983,x11982,x11984,x11985)) % 242.40/242.49 [1199]~E(x11991,x11992)+E(f650(x11993,x11994,x11991,x11995),f650(x11993,x11994,x11992,x11995)) % 242.40/242.49 [1200]~E(x12001,x12002)+E(f650(x12003,x12004,x12005,x12001),f650(x12003,x12004,x12005,x12002)) % 242.40/242.49 [1201]~E(x12011,x12012)+E(f257(x12011,x12013,x12014,x12015,x12016),f257(x12012,x12013,x12014,x12015,x12016)) % 242.40/242.49 [1202]~E(x12021,x12022)+E(f257(x12023,x12021,x12024,x12025,x12026),f257(x12023,x12022,x12024,x12025,x12026)) % 242.40/242.49 [1203]~E(x12031,x12032)+E(f257(x12033,x12034,x12031,x12035,x12036),f257(x12033,x12034,x12032,x12035,x12036)) % 242.40/242.49 [1204]~E(x12041,x12042)+E(f257(x12043,x12044,x12045,x12041,x12046),f257(x12043,x12044,x12045,x12042,x12046)) % 242.40/242.49 [1205]~E(x12051,x12052)+E(f257(x12053,x12054,x12055,x12056,x12051),f257(x12053,x12054,x12055,x12056,x12052)) % 242.40/242.49 [1206]~E(x12061,x12062)+E(f324(x12061,x12063,x12064),f324(x12062,x12063,x12064)) % 242.40/242.49 [1207]~E(x12071,x12072)+E(f324(x12073,x12071,x12074),f324(x12073,x12072,x12074)) % 242.40/242.49 [1208]~E(x12081,x12082)+E(f324(x12083,x12084,x12081),f324(x12083,x12084,x12082)) % 242.40/242.49 [1209]~E(x12091,x12092)+E(f759(x12091,x12093,x12094),f759(x12092,x12093,x12094)) % 242.40/242.49 [1210]~E(x12101,x12102)+E(f759(x12103,x12101,x12104),f759(x12103,x12102,x12104)) % 242.40/242.49 [1211]~E(x12111,x12112)+E(f759(x12113,x12114,x12111),f759(x12113,x12114,x12112)) % 242.40/242.49 [1212]~E(x12121,x12122)+E(f700(x12121,x12123,x12124),f700(x12122,x12123,x12124)) % 242.40/242.49 [1213]~E(x12131,x12132)+E(f700(x12133,x12131,x12134),f700(x12133,x12132,x12134)) % 242.40/242.49 [1214]~E(x12141,x12142)+E(f700(x12143,x12144,x12141),f700(x12143,x12144,x12142)) % 242.40/242.49 [1215]~E(x12151,x12152)+E(f95(x12151,x12153,x12154),f95(x12152,x12153,x12154)) % 242.40/242.49 [1216]~E(x12161,x12162)+E(f95(x12163,x12161,x12164),f95(x12163,x12162,x12164)) % 242.40/242.49 [1217]~E(x12171,x12172)+E(f95(x12173,x12174,x12171),f95(x12173,x12174,x12172)) % 242.40/242.49 [1218]~E(x12181,x12182)+E(f662(x12181,x12183,x12184,x12185),f662(x12182,x12183,x12184,x12185)) % 242.40/242.49 [1219]~E(x12191,x12192)+E(f662(x12193,x12191,x12194,x12195),f662(x12193,x12192,x12194,x12195)) % 242.40/242.49 [1220]~E(x12201,x12202)+E(f662(x12203,x12204,x12201,x12205),f662(x12203,x12204,x12202,x12205)) % 242.40/242.49 [1221]~E(x12211,x12212)+E(f662(x12213,x12214,x12215,x12211),f662(x12213,x12214,x12215,x12212)) % 242.40/242.49 [1222]~E(x12221,x12222)+E(f503(x12221,x12223,x12224,x12225),f503(x12222,x12223,x12224,x12225)) % 242.40/242.49 [1223]~E(x12231,x12232)+E(f503(x12233,x12231,x12234,x12235),f503(x12233,x12232,x12234,x12235)) % 242.40/242.49 [1224]~E(x12241,x12242)+E(f503(x12243,x12244,x12241,x12245),f503(x12243,x12244,x12242,x12245)) % 242.40/242.49 [1225]~E(x12251,x12252)+E(f503(x12253,x12254,x12255,x12251),f503(x12253,x12254,x12255,x12252)) % 242.40/242.49 [1226]~E(x12261,x12262)+E(f810(x12261,x12263,x12264,x12265,x12266,x12267,x12268),f810(x12262,x12263,x12264,x12265,x12266,x12267,x12268)) % 242.40/242.49 [1227]~E(x12271,x12272)+E(f810(x12273,x12271,x12274,x12275,x12276,x12277,x12278),f810(x12273,x12272,x12274,x12275,x12276,x12277,x12278)) % 242.40/242.49 [1228]~E(x12281,x12282)+E(f810(x12283,x12284,x12281,x12285,x12286,x12287,x12288),f810(x12283,x12284,x12282,x12285,x12286,x12287,x12288)) % 242.40/242.49 [1229]~E(x12291,x12292)+E(f810(x12293,x12294,x12295,x12291,x12296,x12297,x12298),f810(x12293,x12294,x12295,x12292,x12296,x12297,x12298)) % 242.40/242.49 [1230]~E(x12301,x12302)+E(f810(x12303,x12304,x12305,x12306,x12301,x12307,x12308),f810(x12303,x12304,x12305,x12306,x12302,x12307,x12308)) % 242.40/242.49 [1231]~E(x12311,x12312)+E(f810(x12313,x12314,x12315,x12316,x12317,x12311,x12318),f810(x12313,x12314,x12315,x12316,x12317,x12312,x12318)) % 242.40/242.49 [1232]~E(x12321,x12322)+E(f810(x12323,x12324,x12325,x12326,x12327,x12328,x12321),f810(x12323,x12324,x12325,x12326,x12327,x12328,x12322)) % 242.40/242.49 [1233]~E(x12331,x12332)+E(f134(x12331,x12333,x12334,x12335),f134(x12332,x12333,x12334,x12335)) % 242.40/242.49 [1234]~E(x12341,x12342)+E(f134(x12343,x12341,x12344,x12345),f134(x12343,x12342,x12344,x12345)) % 242.40/242.49 [1235]~E(x12351,x12352)+E(f134(x12353,x12354,x12351,x12355),f134(x12353,x12354,x12352,x12355)) % 242.40/242.49 [1236]~E(x12361,x12362)+E(f134(x12363,x12364,x12365,x12361),f134(x12363,x12364,x12365,x12362)) % 242.40/242.49 [1237]~E(x12371,x12372)+E(f203(x12371,x12373),f203(x12372,x12373)) % 242.40/242.49 [1238]~E(x12381,x12382)+E(f203(x12383,x12381),f203(x12383,x12382)) % 242.40/242.49 [1239]~E(x12391,x12392)+E(f263(x12391,x12393,x12394,x12395),f263(x12392,x12393,x12394,x12395)) % 242.40/242.49 [1240]~E(x12401,x12402)+E(f263(x12403,x12401,x12404,x12405),f263(x12403,x12402,x12404,x12405)) % 242.40/242.49 [1241]~E(x12411,x12412)+E(f263(x12413,x12414,x12411,x12415),f263(x12413,x12414,x12412,x12415)) % 242.40/242.49 [1242]~E(x12421,x12422)+E(f263(x12423,x12424,x12425,x12421),f263(x12423,x12424,x12425,x12422)) % 242.40/242.49 [1243]~E(x12431,x12432)+E(f132(x12431),f132(x12432)) % 242.40/242.49 [1244]~E(x12441,x12442)+E(f452(x12441,x12443,x12444,x12445,x12446),f452(x12442,x12443,x12444,x12445,x12446)) % 242.40/242.49 [1245]~E(x12451,x12452)+E(f452(x12453,x12451,x12454,x12455,x12456),f452(x12453,x12452,x12454,x12455,x12456)) % 242.40/242.49 [1246]~E(x12461,x12462)+E(f452(x12463,x12464,x12461,x12465,x12466),f452(x12463,x12464,x12462,x12465,x12466)) % 242.40/242.49 [1247]~E(x12471,x12472)+E(f452(x12473,x12474,x12475,x12471,x12476),f452(x12473,x12474,x12475,x12472,x12476)) % 242.40/242.49 [1248]~E(x12481,x12482)+E(f452(x12483,x12484,x12485,x12486,x12481),f452(x12483,x12484,x12485,x12486,x12482)) % 242.40/242.49 [1249]~E(x12491,x12492)+E(f309(x12491,x12493,x12494),f309(x12492,x12493,x12494)) % 242.40/242.49 [1250]~E(x12501,x12502)+E(f309(x12503,x12501,x12504),f309(x12503,x12502,x12504)) % 242.40/242.49 [1251]~E(x12511,x12512)+E(f309(x12513,x12514,x12511),f309(x12513,x12514,x12512)) % 242.40/242.49 [1252]~E(x12521,x12522)+E(f193(x12521,x12523,x12524,x12525),f193(x12522,x12523,x12524,x12525)) % 242.40/242.49 [1253]~E(x12531,x12532)+E(f193(x12533,x12531,x12534,x12535),f193(x12533,x12532,x12534,x12535)) % 242.40/242.49 [1254]~E(x12541,x12542)+E(f193(x12543,x12544,x12541,x12545),f193(x12543,x12544,x12542,x12545)) % 242.40/242.49 [1255]~E(x12551,x12552)+E(f193(x12553,x12554,x12555,x12551),f193(x12553,x12554,x12555,x12552)) % 242.40/242.49 [1256]~E(x12561,x12562)+E(f467(x12561,x12563,x12564,x12565,x12566,x12567,x12568),f467(x12562,x12563,x12564,x12565,x12566,x12567,x12568)) % 242.40/242.49 [1257]~E(x12571,x12572)+E(f467(x12573,x12571,x12574,x12575,x12576,x12577,x12578),f467(x12573,x12572,x12574,x12575,x12576,x12577,x12578)) % 242.40/242.49 [1258]~E(x12581,x12582)+E(f467(x12583,x12584,x12581,x12585,x12586,x12587,x12588),f467(x12583,x12584,x12582,x12585,x12586,x12587,x12588)) % 242.40/242.49 [1259]~E(x12591,x12592)+E(f467(x12593,x12594,x12595,x12591,x12596,x12597,x12598),f467(x12593,x12594,x12595,x12592,x12596,x12597,x12598)) % 242.40/242.49 [1260]~E(x12601,x12602)+E(f467(x12603,x12604,x12605,x12606,x12601,x12607,x12608),f467(x12603,x12604,x12605,x12606,x12602,x12607,x12608)) % 242.40/242.49 [1261]~E(x12611,x12612)+E(f467(x12613,x12614,x12615,x12616,x12617,x12611,x12618),f467(x12613,x12614,x12615,x12616,x12617,x12612,x12618)) % 242.40/242.49 [1262]~E(x12621,x12622)+E(f467(x12623,x12624,x12625,x12626,x12627,x12628,x12621),f467(x12623,x12624,x12625,x12626,x12627,x12628,x12622)) % 242.40/242.49 [1263]~E(x12631,x12632)+E(f592(x12631,x12633,x12634,x12635,x12636,x12637,x12638,x12639),f592(x12632,x12633,x12634,x12635,x12636,x12637,x12638,x12639)) % 242.40/242.49 [1264]~E(x12641,x12642)+E(f592(x12643,x12641,x12644,x12645,x12646,x12647,x12648,x12649),f592(x12643,x12642,x12644,x12645,x12646,x12647,x12648,x12649)) % 242.40/242.49 [1265]~E(x12651,x12652)+E(f592(x12653,x12654,x12651,x12655,x12656,x12657,x12658,x12659),f592(x12653,x12654,x12652,x12655,x12656,x12657,x12658,x12659)) % 242.40/242.49 [1266]~E(x12661,x12662)+E(f592(x12663,x12664,x12665,x12661,x12666,x12667,x12668,x12669),f592(x12663,x12664,x12665,x12662,x12666,x12667,x12668,x12669)) % 242.40/242.49 [1267]~E(x12671,x12672)+E(f592(x12673,x12674,x12675,x12676,x12671,x12677,x12678,x12679),f592(x12673,x12674,x12675,x12676,x12672,x12677,x12678,x12679)) % 242.40/242.49 [1268]~E(x12681,x12682)+E(f592(x12683,x12684,x12685,x12686,x12687,x12681,x12688,x12689),f592(x12683,x12684,x12685,x12686,x12687,x12682,x12688,x12689)) % 242.40/242.49 [1269]~E(x12691,x12692)+E(f592(x12693,x12694,x12695,x12696,x12697,x12698,x12691,x12699),f592(x12693,x12694,x12695,x12696,x12697,x12698,x12692,x12699)) % 242.40/242.49 [1270]~E(x12701,x12702)+E(f592(x12703,x12704,x12705,x12706,x12707,x12708,x12709,x12701),f592(x12703,x12704,x12705,x12706,x12707,x12708,x12709,x12702)) % 242.40/242.49 [1271]~E(x12711,x12712)+E(f64(x12711,x12713,x12714),f64(x12712,x12713,x12714)) % 242.40/242.49 [1272]~E(x12721,x12722)+E(f64(x12723,x12721,x12724),f64(x12723,x12722,x12724)) % 242.40/242.49 [1273]~E(x12731,x12732)+E(f64(x12733,x12734,x12731),f64(x12733,x12734,x12732)) % 242.40/242.49 [1274]~E(x12741,x12742)+E(f323(x12741,x12743,x12744,x12745),f323(x12742,x12743,x12744,x12745)) % 242.40/242.49 [1275]~E(x12751,x12752)+E(f323(x12753,x12751,x12754,x12755),f323(x12753,x12752,x12754,x12755)) % 242.40/242.49 [1276]~E(x12761,x12762)+E(f323(x12763,x12764,x12761,x12765),f323(x12763,x12764,x12762,x12765)) % 242.40/242.49 [1277]~E(x12771,x12772)+E(f323(x12773,x12774,x12775,x12771),f323(x12773,x12774,x12775,x12772)) % 242.40/242.49 [1278]~E(x12781,x12782)+E(f898(x12781,x12783,x12784,x12785,x12786),f898(x12782,x12783,x12784,x12785,x12786)) % 242.40/242.49 [1279]~E(x12791,x12792)+E(f898(x12793,x12791,x12794,x12795,x12796),f898(x12793,x12792,x12794,x12795,x12796)) % 242.40/242.49 [1280]~E(x12801,x12802)+E(f898(x12803,x12804,x12801,x12805,x12806),f898(x12803,x12804,x12802,x12805,x12806)) % 242.40/242.49 [1281]~E(x12811,x12812)+E(f898(x12813,x12814,x12815,x12811,x12816),f898(x12813,x12814,x12815,x12812,x12816)) % 242.40/242.49 [1282]~E(x12821,x12822)+E(f898(x12823,x12824,x12825,x12826,x12821),f898(x12823,x12824,x12825,x12826,x12822)) % 242.40/242.49 [1283]~E(x12831,x12832)+E(f515(x12831,x12833,x12834),f515(x12832,x12833,x12834)) % 242.40/242.49 [1284]~E(x12841,x12842)+E(f515(x12843,x12841,x12844),f515(x12843,x12842,x12844)) % 242.40/242.49 [1285]~E(x12851,x12852)+E(f515(x12853,x12854,x12851),f515(x12853,x12854,x12852)) % 242.40/242.49 [1286]~E(x12861,x12862)+E(f179(x12861,x12863,x12864),f179(x12862,x12863,x12864)) % 242.40/242.49 [1287]~E(x12871,x12872)+E(f179(x12873,x12871,x12874),f179(x12873,x12872,x12874)) % 242.40/242.49 [1288]~E(x12881,x12882)+E(f179(x12883,x12884,x12881),f179(x12883,x12884,x12882)) % 242.40/242.49 [1289]~E(x12891,x12892)+E(f908(x12891,x12893,x12894,x12895,x12896,x12897),f908(x12892,x12893,x12894,x12895,x12896,x12897)) % 242.40/242.49 [1290]~E(x12901,x12902)+E(f908(x12903,x12901,x12904,x12905,x12906,x12907),f908(x12903,x12902,x12904,x12905,x12906,x12907)) % 242.40/242.49 [1291]~E(x12911,x12912)+E(f908(x12913,x12914,x12911,x12915,x12916,x12917),f908(x12913,x12914,x12912,x12915,x12916,x12917)) % 242.40/242.49 [1292]~E(x12921,x12922)+E(f908(x12923,x12924,x12925,x12921,x12926,x12927),f908(x12923,x12924,x12925,x12922,x12926,x12927)) % 242.40/242.49 [1293]~E(x12931,x12932)+E(f908(x12933,x12934,x12935,x12936,x12931,x12937),f908(x12933,x12934,x12935,x12936,x12932,x12937)) % 242.40/242.49 [1294]~E(x12941,x12942)+E(f908(x12943,x12944,x12945,x12946,x12947,x12941),f908(x12943,x12944,x12945,x12946,x12947,x12942)) % 242.40/242.49 [1295]~E(x12951,x12952)+E(f551(x12951,x12953,x12954),f551(x12952,x12953,x12954)) % 242.40/242.49 [1296]~E(x12961,x12962)+E(f551(x12963,x12961,x12964),f551(x12963,x12962,x12964)) % 242.40/242.49 [1297]~E(x12971,x12972)+E(f551(x12973,x12974,x12971),f551(x12973,x12974,x12972)) % 242.40/242.49 [1298]~E(x12981,x12982)+E(f236(x12981),f236(x12982)) % 242.40/242.49 [1299]~E(x12991,x12992)+E(f176(x12991,x12993,x12994),f176(x12992,x12993,x12994)) % 242.40/242.49 [1300]~E(x13001,x13002)+E(f176(x13003,x13001,x13004),f176(x13003,x13002,x13004)) % 242.40/242.49 [1301]~E(x13011,x13012)+E(f176(x13013,x13014,x13011),f176(x13013,x13014,x13012)) % 242.40/242.49 [1302]~E(x13021,x13022)+E(f363(x13021,x13023),f363(x13022,x13023)) % 242.40/242.49 [1303]~E(x13031,x13032)+E(f363(x13033,x13031),f363(x13033,x13032)) % 242.40/242.49 [1304]~E(x13041,x13042)+E(f584(x13041,x13043,x13044),f584(x13042,x13043,x13044)) % 242.40/242.49 [1305]~E(x13051,x13052)+E(f584(x13053,x13051,x13054),f584(x13053,x13052,x13054)) % 242.40/242.49 [1306]~E(x13061,x13062)+E(f584(x13063,x13064,x13061),f584(x13063,x13064,x13062)) % 242.40/242.49 [1307]~E(x13071,x13072)+E(f761(x13071,x13073,x13074,x13075),f761(x13072,x13073,x13074,x13075)) % 242.40/242.49 [1308]~E(x13081,x13082)+E(f761(x13083,x13081,x13084,x13085),f761(x13083,x13082,x13084,x13085)) % 242.40/242.49 [1309]~E(x13091,x13092)+E(f761(x13093,x13094,x13091,x13095),f761(x13093,x13094,x13092,x13095)) % 242.40/242.49 [1310]~E(x13101,x13102)+E(f761(x13103,x13104,x13105,x13101),f761(x13103,x13104,x13105,x13102)) % 242.40/242.49 [1311]~E(x13111,x13112)+E(f398(x13111,x13113,x13114,x13115,x13116,x13117),f398(x13112,x13113,x13114,x13115,x13116,x13117)) % 242.40/242.49 [1312]~E(x13121,x13122)+E(f398(x13123,x13121,x13124,x13125,x13126,x13127),f398(x13123,x13122,x13124,x13125,x13126,x13127)) % 242.40/242.49 [1313]~E(x13131,x13132)+E(f398(x13133,x13134,x13131,x13135,x13136,x13137),f398(x13133,x13134,x13132,x13135,x13136,x13137)) % 242.40/242.49 [1314]~E(x13141,x13142)+E(f398(x13143,x13144,x13145,x13141,x13146,x13147),f398(x13143,x13144,x13145,x13142,x13146,x13147)) % 242.40/242.49 [1315]~E(x13151,x13152)+E(f398(x13153,x13154,x13155,x13156,x13151,x13157),f398(x13153,x13154,x13155,x13156,x13152,x13157)) % 242.40/242.49 [1316]~E(x13161,x13162)+E(f398(x13163,x13164,x13165,x13166,x13167,x13161),f398(x13163,x13164,x13165,x13166,x13167,x13162)) % 242.40/242.49 [1317]~E(x13171,x13172)+E(f418(x13171,x13173),f418(x13172,x13173)) % 242.40/242.49 [1318]~E(x13181,x13182)+E(f418(x13183,x13181),f418(x13183,x13182)) % 242.40/242.49 [1319]~E(x13191,x13192)+E(f512(x13191,x13193,x13194),f512(x13192,x13193,x13194)) % 242.40/242.49 [1320]~E(x13201,x13202)+E(f512(x13203,x13201,x13204),f512(x13203,x13202,x13204)) % 242.40/242.49 [1321]~E(x13211,x13212)+E(f512(x13213,x13214,x13211),f512(x13213,x13214,x13212)) % 242.40/242.49 [1322]~E(x13221,x13222)+E(f563(x13221,x13223,x13224,x13225),f563(x13222,x13223,x13224,x13225)) % 242.40/242.49 [1323]~E(x13231,x13232)+E(f563(x13233,x13231,x13234,x13235),f563(x13233,x13232,x13234,x13235)) % 242.40/242.49 [1324]~E(x13241,x13242)+E(f563(x13243,x13244,x13241,x13245),f563(x13243,x13244,x13242,x13245)) % 242.40/242.49 [1325]~E(x13251,x13252)+E(f563(x13253,x13254,x13255,x13251),f563(x13253,x13254,x13255,x13252)) % 242.40/242.49 [1326]~E(x13261,x13262)+E(f458(x13261,x13263,x13264,x13265,x13266),f458(x13262,x13263,x13264,x13265,x13266)) % 242.40/242.49 [1327]~E(x13271,x13272)+E(f458(x13273,x13271,x13274,x13275,x13276),f458(x13273,x13272,x13274,x13275,x13276)) % 242.40/242.49 [1328]~E(x13281,x13282)+E(f458(x13283,x13284,x13281,x13285,x13286),f458(x13283,x13284,x13282,x13285,x13286)) % 242.40/242.49 [1329]~E(x13291,x13292)+E(f458(x13293,x13294,x13295,x13291,x13296),f458(x13293,x13294,x13295,x13292,x13296)) % 242.40/242.49 [1330]~E(x13301,x13302)+E(f458(x13303,x13304,x13305,x13306,x13301),f458(x13303,x13304,x13305,x13306,x13302)) % 242.40/242.49 [1331]~E(x13311,x13312)+E(f762(x13311,x13313,x13314,x13315,x13316),f762(x13312,x13313,x13314,x13315,x13316)) % 242.40/242.49 [1332]~E(x13321,x13322)+E(f762(x13323,x13321,x13324,x13325,x13326),f762(x13323,x13322,x13324,x13325,x13326)) % 242.40/242.49 [1333]~E(x13331,x13332)+E(f762(x13333,x13334,x13331,x13335,x13336),f762(x13333,x13334,x13332,x13335,x13336)) % 242.40/242.49 [1334]~E(x13341,x13342)+E(f762(x13343,x13344,x13345,x13341,x13346),f762(x13343,x13344,x13345,x13342,x13346)) % 242.40/242.49 [1335]~E(x13351,x13352)+E(f762(x13353,x13354,x13355,x13356,x13351),f762(x13353,x13354,x13355,x13356,x13352)) % 242.40/242.49 [1336]~E(x13361,x13362)+E(f824(x13361),f824(x13362)) % 242.40/242.49 [1337]~E(x13371,x13372)+E(f701(x13371,x13373,x13374,x13375,x13376),f701(x13372,x13373,x13374,x13375,x13376)) % 242.40/242.49 [1338]~E(x13381,x13382)+E(f701(x13383,x13381,x13384,x13385,x13386),f701(x13383,x13382,x13384,x13385,x13386)) % 242.40/242.49 [1339]~E(x13391,x13392)+E(f701(x13393,x13394,x13391,x13395,x13396),f701(x13393,x13394,x13392,x13395,x13396)) % 242.40/242.49 [1340]~E(x13401,x13402)+E(f701(x13403,x13404,x13405,x13401,x13406),f701(x13403,x13404,x13405,x13402,x13406)) % 242.40/242.49 [1341]~E(x13411,x13412)+E(f701(x13413,x13414,x13415,x13416,x13411),f701(x13413,x13414,x13415,x13416,x13412)) % 242.40/242.49 [1342]~E(x13421,x13422)+E(f198(x13421,x13423),f198(x13422,x13423)) % 242.40/242.49 [1343]~E(x13431,x13432)+E(f198(x13433,x13431),f198(x13433,x13432)) % 242.40/242.49 [1344]~E(x13441,x13442)+E(f780(x13441,x13443,x13444),f780(x13442,x13443,x13444)) % 242.40/242.49 [1345]~E(x13451,x13452)+E(f780(x13453,x13451,x13454),f780(x13453,x13452,x13454)) % 242.40/242.49 [1346]~E(x13461,x13462)+E(f780(x13463,x13464,x13461),f780(x13463,x13464,x13462)) % 242.40/242.49 [1347]~E(x13471,x13472)+E(f699(x13471,x13473,x13474,x13475),f699(x13472,x13473,x13474,x13475)) % 242.40/242.49 [1348]~E(x13481,x13482)+E(f699(x13483,x13481,x13484,x13485),f699(x13483,x13482,x13484,x13485)) % 242.40/242.49 [1349]~E(x13491,x13492)+E(f699(x13493,x13494,x13491,x13495),f699(x13493,x13494,x13492,x13495)) % 242.40/242.49 [1350]~E(x13501,x13502)+E(f699(x13503,x13504,x13505,x13501),f699(x13503,x13504,x13505,x13502)) % 242.40/242.49 [1351]~E(x13511,x13512)+E(f254(x13511,x13513,x13514),f254(x13512,x13513,x13514)) % 242.40/242.49 [1352]~E(x13521,x13522)+E(f254(x13523,x13521,x13524),f254(x13523,x13522,x13524)) % 242.40/242.49 [1353]~E(x13531,x13532)+E(f254(x13533,x13534,x13531),f254(x13533,x13534,x13532)) % 242.40/242.49 [1354]~E(x13541,x13542)+E(f632(x13541,x13543,x13544),f632(x13542,x13543,x13544)) % 242.40/242.49 [1355]~E(x13551,x13552)+E(f632(x13553,x13551,x13554),f632(x13553,x13552,x13554)) % 242.40/242.49 [1356]~E(x13561,x13562)+E(f632(x13563,x13564,x13561),f632(x13563,x13564,x13562)) % 242.40/242.49 [1357]~E(x13571,x13572)+E(f629(x13571,x13573,x13574,x13575,x13576,x13577,x13578),f629(x13572,x13573,x13574,x13575,x13576,x13577,x13578)) % 242.40/242.49 [1358]~E(x13581,x13582)+E(f629(x13583,x13581,x13584,x13585,x13586,x13587,x13588),f629(x13583,x13582,x13584,x13585,x13586,x13587,x13588)) % 242.40/242.49 [1359]~E(x13591,x13592)+E(f629(x13593,x13594,x13591,x13595,x13596,x13597,x13598),f629(x13593,x13594,x13592,x13595,x13596,x13597,x13598)) % 242.40/242.49 [1360]~E(x13601,x13602)+E(f629(x13603,x13604,x13605,x13601,x13606,x13607,x13608),f629(x13603,x13604,x13605,x13602,x13606,x13607,x13608)) % 242.40/242.49 [1361]~E(x13611,x13612)+E(f629(x13613,x13614,x13615,x13616,x13611,x13617,x13618),f629(x13613,x13614,x13615,x13616,x13612,x13617,x13618)) % 242.40/242.49 [1362]~E(x13621,x13622)+E(f629(x13623,x13624,x13625,x13626,x13627,x13621,x13628),f629(x13623,x13624,x13625,x13626,x13627,x13622,x13628)) % 242.40/242.49 [1363]~E(x13631,x13632)+E(f629(x13633,x13634,x13635,x13636,x13637,x13638,x13631),f629(x13633,x13634,x13635,x13636,x13637,x13638,x13632)) % 242.40/242.49 [1364]~E(x13641,x13642)+E(f411(x13641,x13643,x13644,x13645),f411(x13642,x13643,x13644,x13645)) % 242.40/242.49 [1365]~E(x13651,x13652)+E(f411(x13653,x13651,x13654,x13655),f411(x13653,x13652,x13654,x13655)) % 242.40/242.49 [1366]~E(x13661,x13662)+E(f411(x13663,x13664,x13661,x13665),f411(x13663,x13664,x13662,x13665)) % 242.40/242.49 [1367]~E(x13671,x13672)+E(f411(x13673,x13674,x13675,x13671),f411(x13673,x13674,x13675,x13672)) % 242.40/242.49 [1368]~E(x13681,x13682)+E(f143(x13681,x13683,x13684),f143(x13682,x13683,x13684)) % 242.40/242.49 [1369]~E(x13691,x13692)+E(f143(x13693,x13691,x13694),f143(x13693,x13692,x13694)) % 242.40/242.49 [1370]~E(x13701,x13702)+E(f143(x13703,x13704,x13701),f143(x13703,x13704,x13702)) % 242.40/242.49 [1371]~E(x13711,x13712)+E(f830(x13711),f830(x13712)) % 242.40/242.49 [1372]~E(x13721,x13722)+E(f855(x13721,x13723,x13724,x13725,x13726,x13727,x13728,x13729),f855(x13722,x13723,x13724,x13725,x13726,x13727,x13728,x13729)) % 242.40/242.49 [1373]~E(x13731,x13732)+E(f855(x13733,x13731,x13734,x13735,x13736,x13737,x13738,x13739),f855(x13733,x13732,x13734,x13735,x13736,x13737,x13738,x13739)) % 242.40/242.49 [1374]~E(x13741,x13742)+E(f855(x13743,x13744,x13741,x13745,x13746,x13747,x13748,x13749),f855(x13743,x13744,x13742,x13745,x13746,x13747,x13748,x13749)) % 242.40/242.49 [1375]~E(x13751,x13752)+E(f855(x13753,x13754,x13755,x13751,x13756,x13757,x13758,x13759),f855(x13753,x13754,x13755,x13752,x13756,x13757,x13758,x13759)) % 242.40/242.49 [1376]~E(x13761,x13762)+E(f855(x13763,x13764,x13765,x13766,x13761,x13767,x13768,x13769),f855(x13763,x13764,x13765,x13766,x13762,x13767,x13768,x13769)) % 242.40/242.49 [1377]~E(x13771,x13772)+E(f855(x13773,x13774,x13775,x13776,x13777,x13771,x13778,x13779),f855(x13773,x13774,x13775,x13776,x13777,x13772,x13778,x13779)) % 242.40/242.49 [1378]~E(x13781,x13782)+E(f855(x13783,x13784,x13785,x13786,x13787,x13788,x13781,x13789),f855(x13783,x13784,x13785,x13786,x13787,x13788,x13782,x13789)) % 242.40/242.49 [1379]~E(x13791,x13792)+E(f855(x13793,x13794,x13795,x13796,x13797,x13798,x13799,x13791),f855(x13793,x13794,x13795,x13796,x13797,x13798,x13799,x13792)) % 242.40/242.49 [1380]~E(x13801,x13802)+E(f590(x13801,x13803,x13804,x13805,x13806),f590(x13802,x13803,x13804,x13805,x13806)) % 242.40/242.49 [1381]~E(x13811,x13812)+E(f590(x13813,x13811,x13814,x13815,x13816),f590(x13813,x13812,x13814,x13815,x13816)) % 242.40/242.49 [1382]~E(x13821,x13822)+E(f590(x13823,x13824,x13821,x13825,x13826),f590(x13823,x13824,x13822,x13825,x13826)) % 242.40/242.49 [1383]~E(x13831,x13832)+E(f590(x13833,x13834,x13835,x13831,x13836),f590(x13833,x13834,x13835,x13832,x13836)) % 242.40/242.49 [1384]~E(x13841,x13842)+E(f590(x13843,x13844,x13845,x13846,x13841),f590(x13843,x13844,x13845,x13846,x13842)) % 242.40/242.49 [1385]~E(x13851,x13852)+E(f648(x13851,x13853,x13854),f648(x13852,x13853,x13854)) % 242.40/242.49 [1386]~E(x13861,x13862)+E(f648(x13863,x13861,x13864),f648(x13863,x13862,x13864)) % 242.40/242.49 [1387]~E(x13871,x13872)+E(f648(x13873,x13874,x13871),f648(x13873,x13874,x13872)) % 242.40/242.49 [1388]~E(x13881,x13882)+E(f616(x13881,x13883,x13884,x13885,x13886),f616(x13882,x13883,x13884,x13885,x13886)) % 242.40/242.49 [1389]~E(x13891,x13892)+E(f616(x13893,x13891,x13894,x13895,x13896),f616(x13893,x13892,x13894,x13895,x13896)) % 242.40/242.49 [1390]~E(x13901,x13902)+E(f616(x13903,x13904,x13901,x13905,x13906),f616(x13903,x13904,x13902,x13905,x13906)) % 242.40/242.49 [1391]~E(x13911,x13912)+E(f616(x13913,x13914,x13915,x13911,x13916),f616(x13913,x13914,x13915,x13912,x13916)) % 242.40/242.49 [1392]~E(x13921,x13922)+E(f616(x13923,x13924,x13925,x13926,x13921),f616(x13923,x13924,x13925,x13926,x13922)) % 242.40/242.49 [1393]~E(x13931,x13932)+E(f469(x13931,x13933,x13934),f469(x13932,x13933,x13934)) % 242.40/242.49 [1394]~E(x13941,x13942)+E(f469(x13943,x13941,x13944),f469(x13943,x13942,x13944)) % 242.40/242.49 [1395]~E(x13951,x13952)+E(f469(x13953,x13954,x13951),f469(x13953,x13954,x13952)) % 242.40/242.49 [1396]~E(x13961,x13962)+E(f772(x13961,x13963,x13964),f772(x13962,x13963,x13964)) % 242.40/242.49 [1397]~E(x13971,x13972)+E(f772(x13973,x13971,x13974),f772(x13973,x13972,x13974)) % 242.40/242.49 [1398]~E(x13981,x13982)+E(f772(x13983,x13984,x13981),f772(x13983,x13984,x13982)) % 242.40/242.49 [1399]~E(x13991,x13992)+E(f555(x13991,x13993,x13994,x13995),f555(x13992,x13993,x13994,x13995)) % 242.40/242.49 [1400]~E(x14001,x14002)+E(f555(x14003,x14001,x14004,x14005),f555(x14003,x14002,x14004,x14005)) % 242.40/242.49 [1401]~E(x14011,x14012)+E(f555(x14013,x14014,x14011,x14015),f555(x14013,x14014,x14012,x14015)) % 242.40/242.49 [1402]~E(x14021,x14022)+E(f555(x14023,x14024,x14025,x14021),f555(x14023,x14024,x14025,x14022)) % 242.40/242.49 [1403]~E(x14031,x14032)+E(f476(x14031,x14033,x14034),f476(x14032,x14033,x14034)) % 242.40/242.49 [1404]~E(x14041,x14042)+E(f476(x14043,x14041,x14044),f476(x14043,x14042,x14044)) % 242.40/242.49 [1405]~E(x14051,x14052)+E(f476(x14053,x14054,x14051),f476(x14053,x14054,x14052)) % 242.40/242.49 [1406]~E(x14061,x14062)+E(f741(x14061,x14063),f741(x14062,x14063)) % 242.40/242.49 [1407]~E(x14071,x14072)+E(f741(x14073,x14071),f741(x14073,x14072)) % 242.40/242.49 [1408]~E(x14081,x14082)+E(f901(x14081,x14083,x14084,x14085),f901(x14082,x14083,x14084,x14085)) % 242.40/242.49 [1409]~E(x14091,x14092)+E(f901(x14093,x14091,x14094,x14095),f901(x14093,x14092,x14094,x14095)) % 242.40/242.49 [1410]~E(x14101,x14102)+E(f901(x14103,x14104,x14101,x14105),f901(x14103,x14104,x14102,x14105)) % 242.40/242.49 [1411]~E(x14111,x14112)+E(f901(x14113,x14114,x14115,x14111),f901(x14113,x14114,x14115,x14112)) % 242.40/242.49 [1412]~E(x14121,x14122)+E(f900(x14121,x14123,x14124,x14125),f900(x14122,x14123,x14124,x14125)) % 242.40/242.49 [1413]~E(x14131,x14132)+E(f900(x14133,x14131,x14134,x14135),f900(x14133,x14132,x14134,x14135)) % 242.40/242.49 [1414]~E(x14141,x14142)+E(f900(x14143,x14144,x14141,x14145),f900(x14143,x14144,x14142,x14145)) % 242.40/242.49 [1415]~E(x14151,x14152)+E(f900(x14153,x14154,x14155,x14151),f900(x14153,x14154,x14155,x14152)) % 242.40/242.49 [1416]~E(x14161,x14162)+E(f455(x14161,x14163,x14164,x14165),f455(x14162,x14163,x14164,x14165)) % 242.40/242.49 [1417]~E(x14171,x14172)+E(f455(x14173,x14171,x14174,x14175),f455(x14173,x14172,x14174,x14175)) % 242.40/242.49 [1418]~E(x14181,x14182)+E(f455(x14183,x14184,x14181,x14185),f455(x14183,x14184,x14182,x14185)) % 242.40/242.49 [1419]~E(x14191,x14192)+E(f455(x14193,x14194,x14195,x14191),f455(x14193,x14194,x14195,x14192)) % 242.40/242.49 [1420]~E(x14201,x14202)+E(f766(x14201,x14203,x14204,x14205,x14206),f766(x14202,x14203,x14204,x14205,x14206)) % 242.40/242.49 [1421]~E(x14211,x14212)+E(f766(x14213,x14211,x14214,x14215,x14216),f766(x14213,x14212,x14214,x14215,x14216)) % 242.40/242.49 [1422]~E(x14221,x14222)+E(f766(x14223,x14224,x14221,x14225,x14226),f766(x14223,x14224,x14222,x14225,x14226)) % 242.40/242.49 [1423]~E(x14231,x14232)+E(f766(x14233,x14234,x14235,x14231,x14236),f766(x14233,x14234,x14235,x14232,x14236)) % 242.40/242.49 [1424]~E(x14241,x14242)+E(f766(x14243,x14244,x14245,x14246,x14241),f766(x14243,x14244,x14245,x14246,x14242)) % 242.40/242.49 [1425]~E(x14251,x14252)+E(f500(x14251,x14253,x14254,x14255,x14256,x14257,x14258),f500(x14252,x14253,x14254,x14255,x14256,x14257,x14258)) % 242.40/242.49 [1426]~E(x14261,x14262)+E(f500(x14263,x14261,x14264,x14265,x14266,x14267,x14268),f500(x14263,x14262,x14264,x14265,x14266,x14267,x14268)) % 242.40/242.49 [1427]~E(x14271,x14272)+E(f500(x14273,x14274,x14271,x14275,x14276,x14277,x14278),f500(x14273,x14274,x14272,x14275,x14276,x14277,x14278)) % 242.40/242.49 [1428]~E(x14281,x14282)+E(f500(x14283,x14284,x14285,x14281,x14286,x14287,x14288),f500(x14283,x14284,x14285,x14282,x14286,x14287,x14288)) % 242.40/242.49 [1429]~E(x14291,x14292)+E(f500(x14293,x14294,x14295,x14296,x14291,x14297,x14298),f500(x14293,x14294,x14295,x14296,x14292,x14297,x14298)) % 242.40/242.49 [1430]~E(x14301,x14302)+E(f500(x14303,x14304,x14305,x14306,x14307,x14301,x14308),f500(x14303,x14304,x14305,x14306,x14307,x14302,x14308)) % 242.40/242.49 [1431]~E(x14311,x14312)+E(f500(x14313,x14314,x14315,x14316,x14317,x14318,x14311),f500(x14313,x14314,x14315,x14316,x14317,x14318,x14312)) % 242.40/242.49 [1432]~E(x14321,x14322)+E(f484(x14321,x14323,x14324,x14325),f484(x14322,x14323,x14324,x14325)) % 242.40/242.49 [1433]~E(x14331,x14332)+E(f484(x14333,x14331,x14334,x14335),f484(x14333,x14332,x14334,x14335)) % 242.40/242.49 [1434]~E(x14341,x14342)+E(f484(x14343,x14344,x14341,x14345),f484(x14343,x14344,x14342,x14345)) % 242.40/242.49 [1435]~E(x14351,x14352)+E(f484(x14353,x14354,x14355,x14351),f484(x14353,x14354,x14355,x14352)) % 242.40/242.49 [1436]~E(x14361,x14362)+E(f892(x14361,x14363,x14364,x14365),f892(x14362,x14363,x14364,x14365)) % 242.40/242.49 [1437]~E(x14371,x14372)+E(f892(x14373,x14371,x14374,x14375),f892(x14373,x14372,x14374,x14375)) % 242.40/242.49 [1438]~E(x14381,x14382)+E(f892(x14383,x14384,x14381,x14385),f892(x14383,x14384,x14382,x14385)) % 242.40/242.49 [1439]~E(x14391,x14392)+E(f892(x14393,x14394,x14395,x14391),f892(x14393,x14394,x14395,x14392)) % 242.40/242.49 [1440]~E(x14401,x14402)+E(f787(x14401,x14403,x14404),f787(x14402,x14403,x14404)) % 242.40/242.49 [1441]~E(x14411,x14412)+E(f787(x14413,x14411,x14414),f787(x14413,x14412,x14414)) % 242.40/242.49 [1442]~E(x14421,x14422)+E(f787(x14423,x14424,x14421),f787(x14423,x14424,x14422)) % 242.40/242.49 [1443]~E(x14431,x14432)+E(f608(x14431,x14433,x14434),f608(x14432,x14433,x14434)) % 242.40/242.49 [1444]~E(x14441,x14442)+E(f608(x14443,x14441,x14444),f608(x14443,x14442,x14444)) % 242.40/242.49 [1445]~E(x14451,x14452)+E(f608(x14453,x14454,x14451),f608(x14453,x14454,x14452)) % 242.40/242.49 [1446]~E(x14461,x14462)+E(f463(x14461,x14463,x14464,x14465),f463(x14462,x14463,x14464,x14465)) % 242.40/242.49 [1447]~E(x14471,x14472)+E(f463(x14473,x14471,x14474,x14475),f463(x14473,x14472,x14474,x14475)) % 242.40/242.49 [1448]~E(x14481,x14482)+E(f463(x14483,x14484,x14481,x14485),f463(x14483,x14484,x14482,x14485)) % 242.40/242.49 [1449]~E(x14491,x14492)+E(f463(x14493,x14494,x14495,x14491),f463(x14493,x14494,x14495,x14492)) % 242.40/242.49 [1450]~E(x14501,x14502)+E(f153(x14501,x14503,x14504,x14505),f153(x14502,x14503,x14504,x14505)) % 242.40/242.49 [1451]~E(x14511,x14512)+E(f153(x14513,x14511,x14514,x14515),f153(x14513,x14512,x14514,x14515)) % 242.40/242.49 [1452]~E(x14521,x14522)+E(f153(x14523,x14524,x14521,x14525),f153(x14523,x14524,x14522,x14525)) % 242.40/242.49 [1453]~E(x14531,x14532)+E(f153(x14533,x14534,x14535,x14531),f153(x14533,x14534,x14535,x14532)) % 242.40/242.49 [1454]~E(x14541,x14542)+E(f345(x14541,x14543),f345(x14542,x14543)) % 242.40/242.49 [1455]~E(x14551,x14552)+E(f345(x14553,x14551),f345(x14553,x14552)) % 242.40/242.49 [1456]~E(x14561,x14562)+E(f558(x14561,x14563,x14564,x14565),f558(x14562,x14563,x14564,x14565)) % 242.40/242.49 [1457]~E(x14571,x14572)+E(f558(x14573,x14571,x14574,x14575),f558(x14573,x14572,x14574,x14575)) % 242.40/242.49 [1458]~E(x14581,x14582)+E(f558(x14583,x14584,x14581,x14585),f558(x14583,x14584,x14582,x14585)) % 242.40/242.49 [1459]~E(x14591,x14592)+E(f558(x14593,x14594,x14595,x14591),f558(x14593,x14594,x14595,x14592)) % 242.40/242.49 [1460]~E(x14601,x14602)+E(f241(x14601,x14603),f241(x14602,x14603)) % 242.40/242.49 [1461]~E(x14611,x14612)+E(f241(x14613,x14611),f241(x14613,x14612)) % 242.40/242.49 [1462]~E(x14621,x14622)+E(f434(x14621,x14623,x14624,x14625,x14626),f434(x14622,x14623,x14624,x14625,x14626)) % 242.40/242.49 [1463]~E(x14631,x14632)+E(f434(x14633,x14631,x14634,x14635,x14636),f434(x14633,x14632,x14634,x14635,x14636)) % 242.40/242.49 [1464]~E(x14641,x14642)+E(f434(x14643,x14644,x14641,x14645,x14646),f434(x14643,x14644,x14642,x14645,x14646)) % 242.40/242.49 [1465]~E(x14651,x14652)+E(f434(x14653,x14654,x14655,x14651,x14656),f434(x14653,x14654,x14655,x14652,x14656)) % 242.40/242.49 [1466]~E(x14661,x14662)+E(f434(x14663,x14664,x14665,x14666,x14661),f434(x14663,x14664,x14665,x14666,x14662)) % 242.40/242.49 [1467]~E(x14671,x14672)+E(f905(x14671,x14673),f905(x14672,x14673)) % 242.40/242.49 [1468]~E(x14681,x14682)+E(f905(x14683,x14681),f905(x14683,x14682)) % 242.40/242.49 [1469]~E(x14691,x14692)+E(f659(x14691,x14693,x14694,x14695,x14696),f659(x14692,x14693,x14694,x14695,x14696)) % 242.40/242.49 [1470]~E(x14701,x14702)+E(f659(x14703,x14701,x14704,x14705,x14706),f659(x14703,x14702,x14704,x14705,x14706)) % 242.40/242.49 [1471]~E(x14711,x14712)+E(f659(x14713,x14714,x14711,x14715,x14716),f659(x14713,x14714,x14712,x14715,x14716)) % 242.40/242.49 [1472]~E(x14721,x14722)+E(f659(x14723,x14724,x14725,x14721,x14726),f659(x14723,x14724,x14725,x14722,x14726)) % 242.40/242.49 [1473]~E(x14731,x14732)+E(f659(x14733,x14734,x14735,x14736,x14731),f659(x14733,x14734,x14735,x14736,x14732)) % 242.40/242.49 [1474]~E(x14741,x14742)+E(f738(x14741,x14743,x14744),f738(x14742,x14743,x14744)) % 242.40/242.49 [1475]~E(x14751,x14752)+E(f738(x14753,x14751,x14754),f738(x14753,x14752,x14754)) % 242.40/242.49 [1476]~E(x14761,x14762)+E(f738(x14763,x14764,x14761),f738(x14763,x14764,x14762)) % 242.40/242.49 [1477]~E(x14771,x14772)+E(f749(x14771,x14773,x14774,x14775),f749(x14772,x14773,x14774,x14775)) % 242.40/242.49 [1478]~E(x14781,x14782)+E(f749(x14783,x14781,x14784,x14785),f749(x14783,x14782,x14784,x14785)) % 242.40/242.49 [1479]~E(x14791,x14792)+E(f749(x14793,x14794,x14791,x14795),f749(x14793,x14794,x14792,x14795)) % 242.40/242.49 [1480]~E(x14801,x14802)+E(f749(x14803,x14804,x14805,x14801),f749(x14803,x14804,x14805,x14802)) % 242.40/242.49 [1481]~E(x14811,x14812)+E(f807(x14811,x14813,x14814,x14815),f807(x14812,x14813,x14814,x14815)) % 242.40/242.49 [1482]~E(x14821,x14822)+E(f807(x14823,x14821,x14824,x14825),f807(x14823,x14822,x14824,x14825)) % 242.40/242.49 [1483]~E(x14831,x14832)+E(f807(x14833,x14834,x14831,x14835),f807(x14833,x14834,x14832,x14835)) % 242.40/242.49 [1484]~E(x14841,x14842)+E(f807(x14843,x14844,x14845,x14841),f807(x14843,x14844,x14845,x14842)) % 242.40/242.49 [1485]~E(x14851,x14852)+E(f843(x14851,x14853,x14854),f843(x14852,x14853,x14854)) % 242.40/242.49 [1486]~E(x14861,x14862)+E(f843(x14863,x14861,x14864),f843(x14863,x14862,x14864)) % 242.40/242.49 [1487]~E(x14871,x14872)+E(f843(x14873,x14874,x14871),f843(x14873,x14874,x14872)) % 242.40/242.49 [1488]~E(x14881,x14882)+E(f521(x14881),f521(x14882)) % 242.40/242.49 [1489]~E(x14891,x14892)+E(f732(x14891,x14893,x14894),f732(x14892,x14893,x14894)) % 242.40/242.49 [1490]~E(x14901,x14902)+E(f732(x14903,x14901,x14904),f732(x14903,x14902,x14904)) % 242.40/242.49 [1491]~E(x14911,x14912)+E(f732(x14913,x14914,x14911),f732(x14913,x14914,x14912)) % 242.40/242.49 [1492]~E(x14921,x14922)+E(f183(x14921),f183(x14922)) % 242.40/242.49 [1493]~E(x14931,x14932)+E(f472(x14931,x14933,x14934),f472(x14932,x14933,x14934)) % 242.40/242.49 [1494]~E(x14941,x14942)+E(f472(x14943,x14941,x14944),f472(x14943,x14942,x14944)) % 242.40/242.49 [1495]~E(x14951,x14952)+E(f472(x14953,x14954,x14951),f472(x14953,x14954,x14952)) % 242.40/242.49 [1496]~E(x14961,x14962)+E(f242(x14961,x14963),f242(x14962,x14963)) % 242.40/242.49 [1497]~E(x14971,x14972)+E(f242(x14973,x14971),f242(x14973,x14972)) % 242.40/242.49 [1498]~E(x14981,x14982)+E(f457(x14981,x14983,x14984,x14985,x14986),f457(x14982,x14983,x14984,x14985,x14986)) % 242.40/242.49 [1499]~E(x14991,x14992)+E(f457(x14993,x14991,x14994,x14995,x14996),f457(x14993,x14992,x14994,x14995,x14996)) % 242.40/242.49 [1500]~E(x15001,x15002)+E(f457(x15003,x15004,x15001,x15005,x15006),f457(x15003,x15004,x15002,x15005,x15006)) % 242.40/242.49 [1501]~E(x15011,x15012)+E(f457(x15013,x15014,x15015,x15011,x15016),f457(x15013,x15014,x15015,x15012,x15016)) % 242.40/242.49 [1502]~E(x15021,x15022)+E(f457(x15023,x15024,x15025,x15026,x15021),f457(x15023,x15024,x15025,x15026,x15022)) % 242.40/242.49 [1503]~E(x15031,x15032)+E(f587(x15031,x15033,x15034),f587(x15032,x15033,x15034)) % 242.40/242.49 [1504]~E(x15041,x15042)+E(f587(x15043,x15041,x15044),f587(x15043,x15042,x15044)) % 242.40/242.49 [1505]~E(x15051,x15052)+E(f587(x15053,x15054,x15051),f587(x15053,x15054,x15052)) % 242.40/242.49 [1506]~E(x15061,x15062)+E(f561(x15061,x15063,x15064),f561(x15062,x15063,x15064)) % 242.40/242.49 [1507]~E(x15071,x15072)+E(f561(x15073,x15071,x15074),f561(x15073,x15072,x15074)) % 242.40/242.49 [1508]~E(x15081,x15082)+E(f561(x15083,x15084,x15081),f561(x15083,x15084,x15082)) % 242.40/242.49 [1509]~E(x15091,x15092)+E(f213(x15091,x15093,x15094,x15095),f213(x15092,x15093,x15094,x15095)) % 242.40/242.49 [1510]~E(x15101,x15102)+E(f213(x15103,x15101,x15104,x15105),f213(x15103,x15102,x15104,x15105)) % 242.40/242.49 [1511]~E(x15111,x15112)+E(f213(x15113,x15114,x15111,x15115),f213(x15113,x15114,x15112,x15115)) % 242.40/242.49 [1512]~E(x15121,x15122)+E(f213(x15123,x15124,x15125,x15121),f213(x15123,x15124,x15125,x15122)) % 242.40/242.49 [1513]~E(x15131,x15132)+E(f789(x15131,x15133,x15134),f789(x15132,x15133,x15134)) % 242.40/242.49 [1514]~E(x15141,x15142)+E(f789(x15143,x15141,x15144),f789(x15143,x15142,x15144)) % 242.40/242.49 [1515]~E(x15151,x15152)+E(f789(x15153,x15154,x15151),f789(x15153,x15154,x15152)) % 242.40/242.49 [1516]~E(x15161,x15162)+E(f681(x15161,x15163,x15164),f681(x15162,x15163,x15164)) % 242.40/242.49 [1517]~E(x15171,x15172)+E(f681(x15173,x15171,x15174),f681(x15173,x15172,x15174)) % 242.40/242.49 [1518]~E(x15181,x15182)+E(f681(x15183,x15184,x15181),f681(x15183,x15184,x15182)) % 242.40/242.49 [1519]~E(x15191,x15192)+E(f552(x15191,x15193,x15194,x15195),f552(x15192,x15193,x15194,x15195)) % 242.40/242.49 [1520]~E(x15201,x15202)+E(f552(x15203,x15201,x15204,x15205),f552(x15203,x15202,x15204,x15205)) % 242.40/242.49 [1521]~E(x15211,x15212)+E(f552(x15213,x15214,x15211,x15215),f552(x15213,x15214,x15212,x15215)) % 242.40/242.49 [1522]~E(x15221,x15222)+E(f552(x15223,x15224,x15225,x15221),f552(x15223,x15224,x15225,x15222)) % 242.40/242.49 [1523]~E(x15231,x15232)+E(f61(x15231,x15233,x15234,x15235),f61(x15232,x15233,x15234,x15235)) % 242.40/242.49 [1524]~E(x15241,x15242)+E(f61(x15243,x15241,x15244,x15245),f61(x15243,x15242,x15244,x15245)) % 242.40/242.49 [1525]~E(x15251,x15252)+E(f61(x15253,x15254,x15251,x15255),f61(x15253,x15254,x15252,x15255)) % 242.40/242.49 [1526]~E(x15261,x15262)+E(f61(x15263,x15264,x15265,x15261),f61(x15263,x15264,x15265,x15262)) % 242.40/242.49 [1527]~E(x15271,x15272)+E(f200(x15271,x15273,x15274,x15275),f200(x15272,x15273,x15274,x15275)) % 242.40/242.49 [1528]~E(x15281,x15282)+E(f200(x15283,x15281,x15284,x15285),f200(x15283,x15282,x15284,x15285)) % 242.40/242.49 [1529]~E(x15291,x15292)+E(f200(x15293,x15294,x15291,x15295),f200(x15293,x15294,x15292,x15295)) % 242.40/242.49 [1530]~E(x15301,x15302)+E(f200(x15303,x15304,x15305,x15301),f200(x15303,x15304,x15305,x15302)) % 242.40/242.49 [1531]~E(x15311,x15312)+E(f827(x15311,x15313),f827(x15312,x15313)) % 242.40/242.49 [1532]~E(x15321,x15322)+E(f827(x15323,x15321),f827(x15323,x15322)) % 242.40/242.49 [1533]~E(x15331,x15332)+E(f422(x15331,x15333,x15334),f422(x15332,x15333,x15334)) % 242.40/242.49 [1534]~E(x15341,x15342)+E(f422(x15343,x15341,x15344),f422(x15343,x15342,x15344)) % 242.40/242.49 [1535]~E(x15351,x15352)+E(f422(x15353,x15354,x15351),f422(x15353,x15354,x15352)) % 242.40/242.49 [1536]~E(x15361,x15362)+E(f486(x15361,x15363,x15364,x15365),f486(x15362,x15363,x15364,x15365)) % 242.40/242.49 [1537]~E(x15371,x15372)+E(f486(x15373,x15371,x15374,x15375),f486(x15373,x15372,x15374,x15375)) % 242.40/242.49 [1538]~E(x15381,x15382)+E(f486(x15383,x15384,x15381,x15385),f486(x15383,x15384,x15382,x15385)) % 242.40/242.49 [1539]~E(x15391,x15392)+E(f486(x15393,x15394,x15395,x15391),f486(x15393,x15394,x15395,x15392)) % 242.40/242.49 [1540]~E(x15401,x15402)+E(f465(x15401,x15403,x15404,x15405,x15406),f465(x15402,x15403,x15404,x15405,x15406)) % 242.40/242.49 [1541]~E(x15411,x15412)+E(f465(x15413,x15411,x15414,x15415,x15416),f465(x15413,x15412,x15414,x15415,x15416)) % 242.40/242.49 [1542]~E(x15421,x15422)+E(f465(x15423,x15424,x15421,x15425,x15426),f465(x15423,x15424,x15422,x15425,x15426)) % 242.40/242.49 [1543]~E(x15431,x15432)+E(f465(x15433,x15434,x15435,x15431,x15436),f465(x15433,x15434,x15435,x15432,x15436)) % 242.40/242.49 [1544]~E(x15441,x15442)+E(f465(x15443,x15444,x15445,x15446,x15441),f465(x15443,x15444,x15445,x15446,x15442)) % 242.40/242.49 [1545]~E(x15451,x15452)+E(f806(x15451,x15453,x15454,x15455),f806(x15452,x15453,x15454,x15455)) % 242.40/242.49 [1546]~E(x15461,x15462)+E(f806(x15463,x15461,x15464,x15465),f806(x15463,x15462,x15464,x15465)) % 242.40/242.49 [1547]~E(x15471,x15472)+E(f806(x15473,x15474,x15471,x15475),f806(x15473,x15474,x15472,x15475)) % 242.40/242.49 [1548]~E(x15481,x15482)+E(f806(x15483,x15484,x15485,x15481),f806(x15483,x15484,x15485,x15482)) % 242.40/242.49 [1549]~E(x15491,x15492)+E(f704(x15491,x15493,x15494,x15495,x15496),f704(x15492,x15493,x15494,x15495,x15496)) % 242.40/242.49 [1550]~E(x15501,x15502)+E(f704(x15503,x15501,x15504,x15505,x15506),f704(x15503,x15502,x15504,x15505,x15506)) % 242.40/242.49 [1551]~E(x15511,x15512)+E(f704(x15513,x15514,x15511,x15515,x15516),f704(x15513,x15514,x15512,x15515,x15516)) % 242.40/242.49 [1552]~E(x15521,x15522)+E(f704(x15523,x15524,x15525,x15521,x15526),f704(x15523,x15524,x15525,x15522,x15526)) % 242.40/242.49 [1553]~E(x15531,x15532)+E(f704(x15533,x15534,x15535,x15536,x15531),f704(x15533,x15534,x15535,x15536,x15532)) % 242.40/242.49 [1554]~E(x15541,x15542)+E(f461(x15541,x15543,x15544,x15545,x15546),f461(x15542,x15543,x15544,x15545,x15546)) % 242.40/242.49 [1555]~E(x15551,x15552)+E(f461(x15553,x15551,x15554,x15555,x15556),f461(x15553,x15552,x15554,x15555,x15556)) % 242.40/242.49 [1556]~E(x15561,x15562)+E(f461(x15563,x15564,x15561,x15565,x15566),f461(x15563,x15564,x15562,x15565,x15566)) % 242.40/242.49 [1557]~E(x15571,x15572)+E(f461(x15573,x15574,x15575,x15571,x15576),f461(x15573,x15574,x15575,x15572,x15576)) % 242.40/242.49 [1558]~E(x15581,x15582)+E(f461(x15583,x15584,x15585,x15586,x15581),f461(x15583,x15584,x15585,x15586,x15582)) % 242.40/242.49 [1559]~E(x15591,x15592)+E(f508(x15591,x15593,x15594,x15595,x15596,x15597,x15598),f508(x15592,x15593,x15594,x15595,x15596,x15597,x15598)) % 242.40/242.49 [1560]~E(x15601,x15602)+E(f508(x15603,x15601,x15604,x15605,x15606,x15607,x15608),f508(x15603,x15602,x15604,x15605,x15606,x15607,x15608)) % 242.40/242.49 [1561]~E(x15611,x15612)+E(f508(x15613,x15614,x15611,x15615,x15616,x15617,x15618),f508(x15613,x15614,x15612,x15615,x15616,x15617,x15618)) % 242.40/242.49 [1562]~E(x15621,x15622)+E(f508(x15623,x15624,x15625,x15621,x15626,x15627,x15628),f508(x15623,x15624,x15625,x15622,x15626,x15627,x15628)) % 242.40/242.49 [1563]~E(x15631,x15632)+E(f508(x15633,x15634,x15635,x15636,x15631,x15637,x15638),f508(x15633,x15634,x15635,x15636,x15632,x15637,x15638)) % 242.40/242.49 [1564]~E(x15641,x15642)+E(f508(x15643,x15644,x15645,x15646,x15647,x15641,x15648),f508(x15643,x15644,x15645,x15646,x15647,x15642,x15648)) % 242.40/242.49 [1565]~E(x15651,x15652)+E(f508(x15653,x15654,x15655,x15656,x15657,x15658,x15651),f508(x15653,x15654,x15655,x15656,x15657,x15658,x15652)) % 242.40/242.49 [1566]~E(x15661,x15662)+E(f598(x15661,x15663,x15664),f598(x15662,x15663,x15664)) % 242.40/242.49 [1567]~E(x15671,x15672)+E(f598(x15673,x15671,x15674),f598(x15673,x15672,x15674)) % 242.40/242.49 [1568]~E(x15681,x15682)+E(f598(x15683,x15684,x15681),f598(x15683,x15684,x15682)) % 242.40/242.49 [1569]~E(x15691,x15692)+E(f721(x15691,x15693,x15694,x15695,x15696),f721(x15692,x15693,x15694,x15695,x15696)) % 242.40/242.49 [1570]~E(x15701,x15702)+E(f721(x15703,x15701,x15704,x15705,x15706),f721(x15703,x15702,x15704,x15705,x15706)) % 242.40/242.49 [1571]~E(x15711,x15712)+E(f721(x15713,x15714,x15711,x15715,x15716),f721(x15713,x15714,x15712,x15715,x15716)) % 242.40/242.49 [1572]~E(x15721,x15722)+E(f721(x15723,x15724,x15725,x15721,x15726),f721(x15723,x15724,x15725,x15722,x15726)) % 242.40/242.49 [1573]~E(x15731,x15732)+E(f721(x15733,x15734,x15735,x15736,x15731),f721(x15733,x15734,x15735,x15736,x15732)) % 242.40/242.49 [1574]~E(x15741,x15742)+E(f219(x15741,x15743),f219(x15742,x15743)) % 242.40/242.49 [1575]~E(x15751,x15752)+E(f219(x15753,x15751),f219(x15753,x15752)) % 242.40/242.49 [1576]~E(x15761,x15762)+E(f504(x15761,x15763,x15764),f504(x15762,x15763,x15764)) % 242.40/242.49 [1577]~E(x15771,x15772)+E(f504(x15773,x15771,x15774),f504(x15773,x15772,x15774)) % 242.40/242.49 [1578]~E(x15781,x15782)+E(f504(x15783,x15784,x15781),f504(x15783,x15784,x15782)) % 242.40/242.49 [1579]~E(x15791,x15792)+E(f607(x15791,x15793,x15794,x15795,x15796),f607(x15792,x15793,x15794,x15795,x15796)) % 242.40/242.49 [1580]~E(x15801,x15802)+E(f607(x15803,x15801,x15804,x15805,x15806),f607(x15803,x15802,x15804,x15805,x15806)) % 242.40/242.49 [1581]~E(x15811,x15812)+E(f607(x15813,x15814,x15811,x15815,x15816),f607(x15813,x15814,x15812,x15815,x15816)) % 242.40/242.49 [1582]~E(x15821,x15822)+E(f607(x15823,x15824,x15825,x15821,x15826),f607(x15823,x15824,x15825,x15822,x15826)) % 242.40/242.49 [1583]~E(x15831,x15832)+E(f607(x15833,x15834,x15835,x15836,x15831),f607(x15833,x15834,x15835,x15836,x15832)) % 242.40/242.49 [1584]~E(x15841,x15842)+E(f788(x15841,x15843,x15844),f788(x15842,x15843,x15844)) % 242.40/242.49 [1585]~E(x15851,x15852)+E(f788(x15853,x15851,x15854),f788(x15853,x15852,x15854)) % 242.40/242.49 [1586]~E(x15861,x15862)+E(f788(x15863,x15864,x15861),f788(x15863,x15864,x15862)) % 242.40/242.49 [1587]~E(x15871,x15872)+E(f880(x15871,x15873,x15874),f880(x15872,x15873,x15874)) % 242.40/242.49 [1588]~E(x15881,x15882)+E(f880(x15883,x15881,x15884),f880(x15883,x15882,x15884)) % 242.40/242.49 [1589]~E(x15891,x15892)+E(f880(x15893,x15894,x15891),f880(x15893,x15894,x15892)) % 242.40/242.49 [1590]~E(x15901,x15902)+E(f362(x15901,x15903,x15904),f362(x15902,x15903,x15904)) % 242.40/242.49 [1591]~E(x15911,x15912)+E(f362(x15913,x15911,x15914),f362(x15913,x15912,x15914)) % 242.40/242.49 [1592]~E(x15921,x15922)+E(f362(x15923,x15924,x15921),f362(x15923,x15924,x15922)) % 242.40/242.49 [1593]~E(x15931,x15932)+E(f514(x15931,x15933,x15934),f514(x15932,x15933,x15934)) % 242.40/242.49 [1594]~E(x15941,x15942)+E(f514(x15943,x15941,x15944),f514(x15943,x15942,x15944)) % 242.40/242.49 [1595]~E(x15951,x15952)+E(f514(x15953,x15954,x15951),f514(x15953,x15954,x15952)) % 242.40/242.49 [1596]~E(x15961,x15962)+E(f532(x15961,x15963,x15964),f532(x15962,x15963,x15964)) % 242.40/242.49 [1597]~E(x15971,x15972)+E(f532(x15973,x15971,x15974),f532(x15973,x15972,x15974)) % 242.40/242.49 [1598]~E(x15981,x15982)+E(f532(x15983,x15984,x15981),f532(x15983,x15984,x15982)) % 242.40/242.49 [1599]~E(x15991,x15992)+E(f228(x15991,x15993,x15994,x15995,x15996),f228(x15992,x15993,x15994,x15995,x15996)) % 242.40/242.49 [1600]~E(x16001,x16002)+E(f228(x16003,x16001,x16004,x16005,x16006),f228(x16003,x16002,x16004,x16005,x16006)) % 242.40/242.49 [1601]~E(x16011,x16012)+E(f228(x16013,x16014,x16011,x16015,x16016),f228(x16013,x16014,x16012,x16015,x16016)) % 242.40/242.49 [1602]~E(x16021,x16022)+E(f228(x16023,x16024,x16025,x16021,x16026),f228(x16023,x16024,x16025,x16022,x16026)) % 242.40/242.49 [1603]~E(x16031,x16032)+E(f228(x16033,x16034,x16035,x16036,x16031),f228(x16033,x16034,x16035,x16036,x16032)) % 242.40/242.49 [1604]~E(x16041,x16042)+E(f207(x16041,x16043,x16044),f207(x16042,x16043,x16044)) % 242.40/242.49 [1605]~E(x16051,x16052)+E(f207(x16053,x16051,x16054),f207(x16053,x16052,x16054)) % 242.40/242.49 [1606]~E(x16061,x16062)+E(f207(x16063,x16064,x16061),f207(x16063,x16064,x16062)) % 242.40/242.49 [1607]~E(x16071,x16072)+E(f403(x16071,x16073),f403(x16072,x16073)) % 242.40/242.49 [1608]~E(x16081,x16082)+E(f403(x16083,x16081),f403(x16083,x16082)) % 242.40/242.49 [1609]~E(x16091,x16092)+E(f399(x16091,x16093),f399(x16092,x16093)) % 242.40/242.49 [1610]~E(x16101,x16102)+E(f399(x16103,x16101),f399(x16103,x16102)) % 242.40/242.49 [1611]~E(x16111,x16112)+E(f492(x16111,x16113,x16114,x16115,x16116,x16117),f492(x16112,x16113,x16114,x16115,x16116,x16117)) % 242.40/242.49 [1612]~E(x16121,x16122)+E(f492(x16123,x16121,x16124,x16125,x16126,x16127),f492(x16123,x16122,x16124,x16125,x16126,x16127)) % 242.40/242.49 [1613]~E(x16131,x16132)+E(f492(x16133,x16134,x16131,x16135,x16136,x16137),f492(x16133,x16134,x16132,x16135,x16136,x16137)) % 242.40/242.49 [1614]~E(x16141,x16142)+E(f492(x16143,x16144,x16145,x16141,x16146,x16147),f492(x16143,x16144,x16145,x16142,x16146,x16147)) % 242.40/242.49 [1615]~E(x16151,x16152)+E(f492(x16153,x16154,x16155,x16156,x16151,x16157),f492(x16153,x16154,x16155,x16156,x16152,x16157)) % 242.40/242.49 [1616]~E(x16161,x16162)+E(f492(x16163,x16164,x16165,x16166,x16167,x16161),f492(x16163,x16164,x16165,x16166,x16167,x16162)) % 242.40/242.49 [1617]~E(x16171,x16172)+E(f511(x16171,x16173,x16174),f511(x16172,x16173,x16174)) % 242.40/242.49 [1618]~E(x16181,x16182)+E(f511(x16183,x16181,x16184),f511(x16183,x16182,x16184)) % 242.40/242.49 [1619]~E(x16191,x16192)+E(f511(x16193,x16194,x16191),f511(x16193,x16194,x16192)) % 242.40/242.49 [1620]~E(x16201,x16202)+E(f808(x16201,x16203,x16204,x16205),f808(x16202,x16203,x16204,x16205)) % 242.40/242.49 [1621]~E(x16211,x16212)+E(f808(x16213,x16211,x16214,x16215),f808(x16213,x16212,x16214,x16215)) % 242.40/242.49 [1622]~E(x16221,x16222)+E(f808(x16223,x16224,x16221,x16225),f808(x16223,x16224,x16222,x16225)) % 242.40/242.49 [1623]~E(x16231,x16232)+E(f808(x16233,x16234,x16235,x16231),f808(x16233,x16234,x16235,x16232)) % 242.40/242.49 [1624]~E(x16241,x16242)+E(f133(x16241,x16243,x16244,x16245),f133(x16242,x16243,x16244,x16245)) % 242.40/242.49 [1625]~E(x16251,x16252)+E(f133(x16253,x16251,x16254,x16255),f133(x16253,x16252,x16254,x16255)) % 242.40/242.49 [1626]~E(x16261,x16262)+E(f133(x16263,x16264,x16261,x16265),f133(x16263,x16264,x16262,x16265)) % 242.40/242.49 [1627]~E(x16271,x16272)+E(f133(x16273,x16274,x16275,x16271),f133(x16273,x16274,x16275,x16272)) % 242.40/242.49 [1628]~E(x16281,x16282)+E(f301(x16281,x16283,x16284),f301(x16282,x16283,x16284)) % 242.40/242.49 [1629]~E(x16291,x16292)+E(f301(x16293,x16291,x16294),f301(x16293,x16292,x16294)) % 242.40/242.49 [1630]~E(x16301,x16302)+E(f301(x16303,x16304,x16301),f301(x16303,x16304,x16302)) % 242.40/242.49 [1631]~E(x16311,x16312)+E(f277(x16311,x16313,x16314,x16315),f277(x16312,x16313,x16314,x16315)) % 242.40/242.49 [1632]~E(x16321,x16322)+E(f277(x16323,x16321,x16324,x16325),f277(x16323,x16322,x16324,x16325)) % 242.40/242.49 [1633]~E(x16331,x16332)+E(f277(x16333,x16334,x16331,x16335),f277(x16333,x16334,x16332,x16335)) % 242.40/242.49 [1634]~E(x16341,x16342)+E(f277(x16343,x16344,x16345,x16341),f277(x16343,x16344,x16345,x16342)) % 242.40/242.49 [1635]~E(x16351,x16352)+E(f380(x16351),f380(x16352)) % 242.40/242.49 [1636]~E(x16361,x16362)+E(f536(x16361,x16363,x16364,x16365,x16366),f536(x16362,x16363,x16364,x16365,x16366)) % 242.40/242.49 [1637]~E(x16371,x16372)+E(f536(x16373,x16371,x16374,x16375,x16376),f536(x16373,x16372,x16374,x16375,x16376)) % 242.40/242.49 [1638]~E(x16381,x16382)+E(f536(x16383,x16384,x16381,x16385,x16386),f536(x16383,x16384,x16382,x16385,x16386)) % 242.40/242.49 [1639]~E(x16391,x16392)+E(f536(x16393,x16394,x16395,x16391,x16396),f536(x16393,x16394,x16395,x16392,x16396)) % 242.40/242.49 [1640]~E(x16401,x16402)+E(f536(x16403,x16404,x16405,x16406,x16401),f536(x16403,x16404,x16405,x16406,x16402)) % 242.40/242.49 [1641]~E(x16411,x16412)+E(f265(x16411,x16413,x16414,x16415,x16416),f265(x16412,x16413,x16414,x16415,x16416)) % 242.40/242.49 [1642]~E(x16421,x16422)+E(f265(x16423,x16421,x16424,x16425,x16426),f265(x16423,x16422,x16424,x16425,x16426)) % 242.40/242.49 [1643]~E(x16431,x16432)+E(f265(x16433,x16434,x16431,x16435,x16436),f265(x16433,x16434,x16432,x16435,x16436)) % 242.40/242.49 [1644]~E(x16441,x16442)+E(f265(x16443,x16444,x16445,x16441,x16446),f265(x16443,x16444,x16445,x16442,x16446)) % 242.40/242.49 [1645]~E(x16451,x16452)+E(f265(x16453,x16454,x16455,x16456,x16451),f265(x16453,x16454,x16455,x16456,x16452)) % 242.40/242.49 [1646]~E(x16461,x16462)+E(f520(x16461),f520(x16462)) % 242.40/242.49 [1647]~E(x16471,x16472)+E(f690(x16471,x16473,x16474,x16475),f690(x16472,x16473,x16474,x16475)) % 242.40/242.49 [1648]~E(x16481,x16482)+E(f690(x16483,x16481,x16484,x16485),f690(x16483,x16482,x16484,x16485)) % 242.40/242.49 [1649]~E(x16491,x16492)+E(f690(x16493,x16494,x16491,x16495),f690(x16493,x16494,x16492,x16495)) % 242.40/242.49 [1650]~E(x16501,x16502)+E(f690(x16503,x16504,x16505,x16501),f690(x16503,x16504,x16505,x16502)) % 242.40/242.49 [1651]~E(x16511,x16512)+E(f407(x16511,x16513,x16514,x16515),f407(x16512,x16513,x16514,x16515)) % 242.40/242.49 [1652]~E(x16521,x16522)+E(f407(x16523,x16521,x16524,x16525),f407(x16523,x16522,x16524,x16525)) % 242.40/242.49 [1653]~E(x16531,x16532)+E(f407(x16533,x16534,x16531,x16535),f407(x16533,x16534,x16532,x16535)) % 242.40/242.49 [1654]~E(x16541,x16542)+E(f407(x16543,x16544,x16545,x16541),f407(x16543,x16544,x16545,x16542)) % 242.40/242.49 [1655]~E(x16551,x16552)+E(f387(x16551,x16553,x16554),f387(x16552,x16553,x16554)) % 242.40/242.49 [1656]~E(x16561,x16562)+E(f387(x16563,x16561,x16564),f387(x16563,x16562,x16564)) % 242.40/242.49 [1657]~E(x16571,x16572)+E(f387(x16573,x16574,x16571),f387(x16573,x16574,x16572)) % 242.40/242.49 [1658]~E(x16581,x16582)+E(f202(x16581,x16583,x16584,x16585),f202(x16582,x16583,x16584,x16585)) % 242.40/242.49 [1659]~E(x16591,x16592)+E(f202(x16593,x16591,x16594,x16595),f202(x16593,x16592,x16594,x16595)) % 242.40/242.49 [1660]~E(x16601,x16602)+E(f202(x16603,x16604,x16601,x16605),f202(x16603,x16604,x16602,x16605)) % 242.40/242.49 [1661]~E(x16611,x16612)+E(f202(x16613,x16614,x16615,x16611),f202(x16613,x16614,x16615,x16612)) % 242.40/242.49 [1662]~E(x16621,x16622)+E(f497(x16621,x16623,x16624,x16625,x16626),f497(x16622,x16623,x16624,x16625,x16626)) % 242.40/242.49 [1663]~E(x16631,x16632)+E(f497(x16633,x16631,x16634,x16635,x16636),f497(x16633,x16632,x16634,x16635,x16636)) % 242.40/242.49 [1664]~E(x16641,x16642)+E(f497(x16643,x16644,x16641,x16645,x16646),f497(x16643,x16644,x16642,x16645,x16646)) % 242.40/242.49 [1665]~E(x16651,x16652)+E(f497(x16653,x16654,x16655,x16651,x16656),f497(x16653,x16654,x16655,x16652,x16656)) % 242.40/242.49 [1666]~E(x16661,x16662)+E(f497(x16663,x16664,x16665,x16666,x16661),f497(x16663,x16664,x16665,x16666,x16662)) % 242.40/242.49 [1667]~E(x16671,x16672)+E(f432(x16671,x16673,x16674,x16675,x16676),f432(x16672,x16673,x16674,x16675,x16676)) % 242.40/242.49 [1668]~E(x16681,x16682)+E(f432(x16683,x16681,x16684,x16685,x16686),f432(x16683,x16682,x16684,x16685,x16686)) % 242.40/242.49 [1669]~E(x16691,x16692)+E(f432(x16693,x16694,x16691,x16695,x16696),f432(x16693,x16694,x16692,x16695,x16696)) % 242.40/242.49 [1670]~E(x16701,x16702)+E(f432(x16703,x16704,x16705,x16701,x16706),f432(x16703,x16704,x16705,x16702,x16706)) % 242.40/242.49 [1671]~E(x16711,x16712)+E(f432(x16713,x16714,x16715,x16716,x16711),f432(x16713,x16714,x16715,x16716,x16712)) % 242.40/242.49 [1672]~E(x16721,x16722)+E(f889(x16721,x16723),f889(x16722,x16723)) % 242.40/242.49 [1673]~E(x16731,x16732)+E(f889(x16733,x16731),f889(x16733,x16732)) % 242.40/242.49 [1674]~E(x16741,x16742)+E(f535(x16741,x16743,x16744,x16745,x16746),f535(x16742,x16743,x16744,x16745,x16746)) % 242.40/242.49 [1675]~E(x16751,x16752)+E(f535(x16753,x16751,x16754,x16755,x16756),f535(x16753,x16752,x16754,x16755,x16756)) % 242.40/242.49 [1676]~E(x16761,x16762)+E(f535(x16763,x16764,x16761,x16765,x16766),f535(x16763,x16764,x16762,x16765,x16766)) % 242.40/242.49 [1677]~E(x16771,x16772)+E(f535(x16773,x16774,x16775,x16771,x16776),f535(x16773,x16774,x16775,x16772,x16776)) % 242.40/242.49 [1678]~E(x16781,x16782)+E(f535(x16783,x16784,x16785,x16786,x16781),f535(x16783,x16784,x16785,x16786,x16782)) % 242.40/242.49 [1679]~E(x16791,x16792)+E(f845(x16791,x16793,x16794,x16795),f845(x16792,x16793,x16794,x16795)) % 242.40/242.49 [1680]~E(x16801,x16802)+E(f845(x16803,x16801,x16804,x16805),f845(x16803,x16802,x16804,x16805)) % 242.40/242.49 [1681]~E(x16811,x16812)+E(f845(x16813,x16814,x16811,x16815),f845(x16813,x16814,x16812,x16815)) % 242.40/242.49 [1682]~E(x16821,x16822)+E(f845(x16823,x16824,x16825,x16821),f845(x16823,x16824,x16825,x16822)) % 242.40/242.49 [1683]~E(x16831,x16832)+E(f344(x16831,x16833,x16834),f344(x16832,x16833,x16834)) % 242.40/242.49 [1684]~E(x16841,x16842)+E(f344(x16843,x16841,x16844),f344(x16843,x16842,x16844)) % 242.40/242.49 [1685]~E(x16851,x16852)+E(f344(x16853,x16854,x16851),f344(x16853,x16854,x16852)) % 242.40/242.49 [1686]~E(x16861,x16862)+E(f920(x16861,x16863),f920(x16862,x16863)) % 242.40/242.49 [1687]~E(x16871,x16872)+E(f920(x16873,x16871),f920(x16873,x16872)) % 242.40/242.49 [1688]~E(x16881,x16882)+E(f386(x16881,x16883,x16884),f386(x16882,x16883,x16884)) % 242.40/242.49 [1689]~E(x16891,x16892)+E(f386(x16893,x16891,x16894),f386(x16893,x16892,x16894)) % 242.40/242.49 [1690]~E(x16901,x16902)+E(f386(x16903,x16904,x16901),f386(x16903,x16904,x16902)) % 242.40/242.49 [1691]~E(x16911,x16912)+E(f873(x16911,x16913,x16914,x16915,x16916,x16917,x16918),f873(x16912,x16913,x16914,x16915,x16916,x16917,x16918)) % 242.40/242.49 [1692]~E(x16921,x16922)+E(f873(x16923,x16921,x16924,x16925,x16926,x16927,x16928),f873(x16923,x16922,x16924,x16925,x16926,x16927,x16928)) % 242.40/242.49 [1693]~E(x16931,x16932)+E(f873(x16933,x16934,x16931,x16935,x16936,x16937,x16938),f873(x16933,x16934,x16932,x16935,x16936,x16937,x16938)) % 242.40/242.49 [1694]~E(x16941,x16942)+E(f873(x16943,x16944,x16945,x16941,x16946,x16947,x16948),f873(x16943,x16944,x16945,x16942,x16946,x16947,x16948)) % 242.40/242.49 [1695]~E(x16951,x16952)+E(f873(x16953,x16954,x16955,x16956,x16951,x16957,x16958),f873(x16953,x16954,x16955,x16956,x16952,x16957,x16958)) % 242.40/242.49 [1696]~E(x16961,x16962)+E(f873(x16963,x16964,x16965,x16966,x16967,x16961,x16968),f873(x16963,x16964,x16965,x16966,x16967,x16962,x16968)) % 242.40/242.49 [1697]~E(x16971,x16972)+E(f873(x16973,x16974,x16975,x16976,x16977,x16978,x16971),f873(x16973,x16974,x16975,x16976,x16977,x16978,x16972)) % 242.40/242.49 [1698]~E(x16981,x16982)+E(f554(x16981,x16983,x16984,x16985),f554(x16982,x16983,x16984,x16985)) % 242.40/242.49 [1699]~E(x16991,x16992)+E(f554(x16993,x16991,x16994,x16995),f554(x16993,x16992,x16994,x16995)) % 242.40/242.49 [1700]~E(x17001,x17002)+E(f554(x17003,x17004,x17001,x17005),f554(x17003,x17004,x17002,x17005)) % 242.40/242.49 [1701]~E(x17011,x17012)+E(f554(x17013,x17014,x17015,x17011),f554(x17013,x17014,x17015,x17012)) % 242.40/242.49 [1702]~E(x17021,x17022)+E(f675(x17021,x17023,x17024,x17025,x17026),f675(x17022,x17023,x17024,x17025,x17026)) % 242.40/242.49 [1703]~E(x17031,x17032)+E(f675(x17033,x17031,x17034,x17035,x17036),f675(x17033,x17032,x17034,x17035,x17036)) % 242.40/242.49 [1704]~E(x17041,x17042)+E(f675(x17043,x17044,x17041,x17045,x17046),f675(x17043,x17044,x17042,x17045,x17046)) % 242.40/242.49 [1705]~E(x17051,x17052)+E(f675(x17053,x17054,x17055,x17051,x17056),f675(x17053,x17054,x17055,x17052,x17056)) % 242.40/242.49 [1706]~E(x17061,x17062)+E(f675(x17063,x17064,x17065,x17066,x17061),f675(x17063,x17064,x17065,x17066,x17062)) % 242.40/242.49 [1707]~E(x17071,x17072)+E(f494(x17071,x17073,x17074),f494(x17072,x17073,x17074)) % 242.40/242.49 [1708]~E(x17081,x17082)+E(f494(x17083,x17081,x17084),f494(x17083,x17082,x17084)) % 242.40/242.49 [1709]~E(x17091,x17092)+E(f494(x17093,x17094,x17091),f494(x17093,x17094,x17092)) % 242.40/242.49 [1710]~E(x17101,x17102)+E(f919(x17101,x17103,x17104,x17105),f919(x17102,x17103,x17104,x17105)) % 242.40/242.49 [1711]~E(x17111,x17112)+E(f919(x17113,x17111,x17114,x17115),f919(x17113,x17112,x17114,x17115)) % 242.40/242.49 [1712]~E(x17121,x17122)+E(f919(x17123,x17124,x17121,x17125),f919(x17123,x17124,x17122,x17125)) % 242.40/242.49 [1713]~E(x17131,x17132)+E(f919(x17133,x17134,x17135,x17131),f919(x17133,x17134,x17135,x17132)) % 242.40/242.49 [1714]~E(x17141,x17142)+E(f745(x17141),f745(x17142)) % 242.40/242.49 [1715]~E(x17151,x17152)+E(f495(x17151,x17153,x17154,x17155),f495(x17152,x17153,x17154,x17155)) % 242.40/242.49 [1716]~E(x17161,x17162)+E(f495(x17163,x17161,x17164,x17165),f495(x17163,x17162,x17164,x17165)) % 242.40/242.49 [1717]~E(x17171,x17172)+E(f495(x17173,x17174,x17171,x17175),f495(x17173,x17174,x17172,x17175)) % 242.40/242.49 [1718]~E(x17181,x17182)+E(f495(x17183,x17184,x17185,x17181),f495(x17183,x17184,x17185,x17182)) % 242.40/242.49 [1719]~E(x17191,x17192)+E(f764(x17191,x17193,x17194,x17195,x17196),f764(x17192,x17193,x17194,x17195,x17196)) % 242.40/242.49 [1720]~E(x17201,x17202)+E(f764(x17203,x17201,x17204,x17205,x17206),f764(x17203,x17202,x17204,x17205,x17206)) % 242.40/242.49 [1721]~E(x17211,x17212)+E(f764(x17213,x17214,x17211,x17215,x17216),f764(x17213,x17214,x17212,x17215,x17216)) % 242.40/242.49 [1722]~E(x17221,x17222)+E(f764(x17223,x17224,x17225,x17221,x17226),f764(x17223,x17224,x17225,x17222,x17226)) % 242.40/242.49 [1723]~E(x17231,x17232)+E(f764(x17233,x17234,x17235,x17236,x17231),f764(x17233,x17234,x17235,x17236,x17232)) % 242.40/242.49 [1724]~E(x17241,x17242)+E(f851(x17241,x17243,x17244),f851(x17242,x17243,x17244)) % 242.40/242.49 [1725]~E(x17251,x17252)+E(f851(x17253,x17251,x17254),f851(x17253,x17252,x17254)) % 242.40/242.49 [1726]~E(x17261,x17262)+E(f851(x17263,x17264,x17261),f851(x17263,x17264,x17262)) % 242.40/242.49 [1727]~E(x17271,x17272)+E(f785(x17271,x17273,x17274),f785(x17272,x17273,x17274)) % 242.40/242.49 [1728]~E(x17281,x17282)+E(f785(x17283,x17281,x17284),f785(x17283,x17282,x17284)) % 242.40/242.49 [1729]~E(x17291,x17292)+E(f785(x17293,x17294,x17291),f785(x17293,x17294,x17292)) % 242.40/242.49 [1730]~E(x17301,x17302)+E(f444(x17301,x17303,x17304,x17305,x17306),f444(x17302,x17303,x17304,x17305,x17306)) % 242.40/242.49 [1731]~E(x17311,x17312)+E(f444(x17313,x17311,x17314,x17315,x17316),f444(x17313,x17312,x17314,x17315,x17316)) % 242.40/242.49 [1732]~E(x17321,x17322)+E(f444(x17323,x17324,x17321,x17325,x17326),f444(x17323,x17324,x17322,x17325,x17326)) % 242.40/242.49 [1733]~E(x17331,x17332)+E(f444(x17333,x17334,x17335,x17331,x17336),f444(x17333,x17334,x17335,x17332,x17336)) % 242.40/242.49 [1734]~E(x17341,x17342)+E(f444(x17343,x17344,x17345,x17346,x17341),f444(x17343,x17344,x17345,x17346,x17342)) % 242.40/242.49 [1735]~E(x17351,x17352)+E(f578(x17351,x17353,x17354,x17355,x17356,x17357),f578(x17352,x17353,x17354,x17355,x17356,x17357)) % 242.40/242.49 [1736]~E(x17361,x17362)+E(f578(x17363,x17361,x17364,x17365,x17366,x17367),f578(x17363,x17362,x17364,x17365,x17366,x17367)) % 242.40/242.49 [1737]~E(x17371,x17372)+E(f578(x17373,x17374,x17371,x17375,x17376,x17377),f578(x17373,x17374,x17372,x17375,x17376,x17377)) % 242.40/242.49 [1738]~E(x17381,x17382)+E(f578(x17383,x17384,x17385,x17381,x17386,x17387),f578(x17383,x17384,x17385,x17382,x17386,x17387)) % 242.40/242.49 [1739]~E(x17391,x17392)+E(f578(x17393,x17394,x17395,x17396,x17391,x17397),f578(x17393,x17394,x17395,x17396,x17392,x17397)) % 242.40/242.49 [1740]~E(x17401,x17402)+E(f578(x17403,x17404,x17405,x17406,x17407,x17401),f578(x17403,x17404,x17405,x17406,x17407,x17402)) % 242.40/242.49 [1741]~E(x17411,x17412)+E(f899(x17411,x17413,x17414,x17415),f899(x17412,x17413,x17414,x17415)) % 242.40/242.49 [1742]~E(x17421,x17422)+E(f899(x17423,x17421,x17424,x17425),f899(x17423,x17422,x17424,x17425)) % 242.40/242.49 [1743]~E(x17431,x17432)+E(f899(x17433,x17434,x17431,x17435),f899(x17433,x17434,x17432,x17435)) % 242.40/242.49 [1744]~E(x17441,x17442)+E(f899(x17443,x17444,x17445,x17441),f899(x17443,x17444,x17445,x17442)) % 242.40/242.49 [1745]~E(x17451,x17452)+E(f642(x17451,x17453,x17454),f642(x17452,x17453,x17454)) % 242.40/242.49 [1746]~E(x17461,x17462)+E(f642(x17463,x17461,x17464),f642(x17463,x17462,x17464)) % 242.40/242.49 [1747]~E(x17471,x17472)+E(f642(x17473,x17474,x17471),f642(x17473,x17474,x17472)) % 242.40/242.49 [1748]~E(x17481,x17482)+E(f846(x17481,x17483,x17484,x17485),f846(x17482,x17483,x17484,x17485)) % 242.40/242.49 [1749]~E(x17491,x17492)+E(f846(x17493,x17491,x17494,x17495),f846(x17493,x17492,x17494,x17495)) % 242.40/242.49 [1750]~E(x17501,x17502)+E(f846(x17503,x17504,x17501,x17505),f846(x17503,x17504,x17502,x17505)) % 242.40/242.49 [1751]~E(x17511,x17512)+E(f846(x17513,x17514,x17515,x17511),f846(x17513,x17514,x17515,x17512)) % 242.40/242.49 [1752]~E(x17521,x17522)+E(f339(x17521,x17523),f339(x17522,x17523)) % 242.40/242.49 [1753]~E(x17531,x17532)+E(f339(x17533,x17531),f339(x17533,x17532)) % 242.40/242.49 [1754]~E(x17541,x17542)+E(f765(x17541,x17543,x17544,x17545,x17546),f765(x17542,x17543,x17544,x17545,x17546)) % 242.40/242.49 [1755]~E(x17551,x17552)+E(f765(x17553,x17551,x17554,x17555,x17556),f765(x17553,x17552,x17554,x17555,x17556)) % 242.40/242.49 [1756]~E(x17561,x17562)+E(f765(x17563,x17564,x17561,x17565,x17566),f765(x17563,x17564,x17562,x17565,x17566)) % 242.40/242.49 [1757]~E(x17571,x17572)+E(f765(x17573,x17574,x17575,x17571,x17576),f765(x17573,x17574,x17575,x17572,x17576)) % 242.40/242.49 [1758]~E(x17581,x17582)+E(f765(x17583,x17584,x17585,x17586,x17581),f765(x17583,x17584,x17585,x17586,x17582)) % 242.40/242.49 [1759]~E(x17591,x17592)+E(f916(x17591,x17593,x17594),f916(x17592,x17593,x17594)) % 242.40/242.49 [1760]~E(x17601,x17602)+E(f916(x17603,x17601,x17604),f916(x17603,x17602,x17604)) % 242.40/242.49 [1761]~E(x17611,x17612)+E(f916(x17613,x17614,x17611),f916(x17613,x17614,x17612)) % 242.40/242.49 [1762]~E(x17621,x17622)+E(f471(x17621,x17623,x17624,x17625,x17626),f471(x17622,x17623,x17624,x17625,x17626)) % 242.40/242.49 [1763]~E(x17631,x17632)+E(f471(x17633,x17631,x17634,x17635,x17636),f471(x17633,x17632,x17634,x17635,x17636)) % 242.40/242.49 [1764]~E(x17641,x17642)+E(f471(x17643,x17644,x17641,x17645,x17646),f471(x17643,x17644,x17642,x17645,x17646)) % 242.40/242.49 [1765]~E(x17651,x17652)+E(f471(x17653,x17654,x17655,x17651,x17656),f471(x17653,x17654,x17655,x17652,x17656)) % 242.40/242.49 [1766]~E(x17661,x17662)+E(f471(x17663,x17664,x17665,x17666,x17661),f471(x17663,x17664,x17665,x17666,x17662)) % 242.40/242.49 [1767]~E(x17671,x17672)+E(f597(x17671,x17673,x17674),f597(x17672,x17673,x17674)) % 242.40/242.49 [1768]~E(x17681,x17682)+E(f597(x17683,x17681,x17684),f597(x17683,x17682,x17684)) % 242.40/242.49 [1769]~E(x17691,x17692)+E(f597(x17693,x17694,x17691),f597(x17693,x17694,x17692)) % 242.40/242.49 [1770]~E(x17701,x17702)+E(f634(x17701,x17703),f634(x17702,x17703)) % 242.40/242.49 [1771]~E(x17711,x17712)+E(f634(x17713,x17711),f634(x17713,x17712)) % 242.40/242.49 [1772]~E(x17721,x17722)+E(f737(x17721,x17723),f737(x17722,x17723)) % 242.40/242.49 [1773]~E(x17731,x17732)+E(f737(x17733,x17731),f737(x17733,x17732)) % 242.40/242.49 [1774]~E(x17741,x17742)+E(f401(x17741,x17743,x17744,x17745),f401(x17742,x17743,x17744,x17745)) % 242.40/242.49 [1775]~E(x17751,x17752)+E(f401(x17753,x17751,x17754,x17755),f401(x17753,x17752,x17754,x17755)) % 242.40/242.49 [1776]~E(x17761,x17762)+E(f401(x17763,x17764,x17761,x17765),f401(x17763,x17764,x17762,x17765)) % 242.40/242.49 [1777]~E(x17771,x17772)+E(f401(x17773,x17774,x17775,x17771),f401(x17773,x17774,x17775,x17772)) % 242.40/242.49 [1778]~E(x17781,x17782)+E(f825(x17781,x17783),f825(x17782,x17783)) % 242.40/242.49 [1779]~E(x17791,x17792)+E(f825(x17793,x17791),f825(x17793,x17792)) % 242.40/242.49 [1780]~E(x17801,x17802)+E(f298(x17801,x17803,x17804),f298(x17802,x17803,x17804)) % 242.40/242.49 [1781]~E(x17811,x17812)+E(f298(x17813,x17811,x17814),f298(x17813,x17812,x17814)) % 242.40/242.49 [1782]~E(x17821,x17822)+E(f298(x17823,x17824,x17821),f298(x17823,x17824,x17822)) % 242.40/242.49 [1783]~E(x17831,x17832)+E(f569(x17831,x17833,x17834),f569(x17832,x17833,x17834)) % 242.40/242.49 [1784]~E(x17841,x17842)+E(f569(x17843,x17841,x17844),f569(x17843,x17842,x17844)) % 242.40/242.49 [1785]~E(x17851,x17852)+E(f569(x17853,x17854,x17851),f569(x17853,x17854,x17852)) % 242.40/242.49 [1786]~E(x17861,x17862)+E(f215(x17861,x17863,x17864,x17865,x17866,x17867,x17868),f215(x17862,x17863,x17864,x17865,x17866,x17867,x17868)) % 242.40/242.49 [1787]~E(x17871,x17872)+E(f215(x17873,x17871,x17874,x17875,x17876,x17877,x17878),f215(x17873,x17872,x17874,x17875,x17876,x17877,x17878)) % 242.40/242.49 [1788]~E(x17881,x17882)+E(f215(x17883,x17884,x17881,x17885,x17886,x17887,x17888),f215(x17883,x17884,x17882,x17885,x17886,x17887,x17888)) % 242.40/242.49 [1789]~E(x17891,x17892)+E(f215(x17893,x17894,x17895,x17891,x17896,x17897,x17898),f215(x17893,x17894,x17895,x17892,x17896,x17897,x17898)) % 242.40/242.49 [1790]~E(x17901,x17902)+E(f215(x17903,x17904,x17905,x17906,x17901,x17907,x17908),f215(x17903,x17904,x17905,x17906,x17902,x17907,x17908)) % 242.40/242.49 [1791]~E(x17911,x17912)+E(f215(x17913,x17914,x17915,x17916,x17917,x17911,x17918),f215(x17913,x17914,x17915,x17916,x17917,x17912,x17918)) % 242.40/242.49 [1792]~E(x17921,x17922)+E(f215(x17923,x17924,x17925,x17926,x17927,x17928,x17921),f215(x17923,x17924,x17925,x17926,x17927,x17928,x17922)) % 242.40/242.49 [1793]~E(x17931,x17932)+E(f667(x17931,x17933,x17934,x17935),f667(x17932,x17933,x17934,x17935)) % 242.40/242.49 [1794]~E(x17941,x17942)+E(f667(x17943,x17941,x17944,x17945),f667(x17943,x17942,x17944,x17945)) % 242.40/242.49 [1795]~E(x17951,x17952)+E(f667(x17953,x17954,x17951,x17955),f667(x17953,x17954,x17952,x17955)) % 242.40/242.49 [1796]~E(x17961,x17962)+E(f667(x17963,x17964,x17965,x17961),f667(x17963,x17964,x17965,x17962)) % 242.40/242.49 [1797]~E(x17971,x17972)+E(f370(x17971,x17973,x17974),f370(x17972,x17973,x17974)) % 242.40/242.49 [1798]~E(x17981,x17982)+E(f370(x17983,x17981,x17984),f370(x17983,x17982,x17984)) % 242.40/242.49 [1799]~E(x17991,x17992)+E(f370(x17993,x17994,x17991),f370(x17993,x17994,x17992)) % 242.40/242.49 [1800]~E(x18001,x18002)+E(f220(x18001,x18003),f220(x18002,x18003)) % 242.40/242.49 [1801]~E(x18011,x18012)+E(f220(x18013,x18011),f220(x18013,x18012)) % 242.40/242.49 [1802]~E(x18021,x18022)+E(f454(x18021,x18023,x18024,x18025,x18026),f454(x18022,x18023,x18024,x18025,x18026)) % 242.40/242.49 [1803]~E(x18031,x18032)+E(f454(x18033,x18031,x18034,x18035,x18036),f454(x18033,x18032,x18034,x18035,x18036)) % 242.40/242.49 [1804]~E(x18041,x18042)+E(f454(x18043,x18044,x18041,x18045,x18046),f454(x18043,x18044,x18042,x18045,x18046)) % 242.40/242.49 [1805]~E(x18051,x18052)+E(f454(x18053,x18054,x18055,x18051,x18056),f454(x18053,x18054,x18055,x18052,x18056)) % 242.40/242.49 [1806]~E(x18061,x18062)+E(f454(x18063,x18064,x18065,x18066,x18061),f454(x18063,x18064,x18065,x18066,x18062)) % 242.40/242.49 [1807]~E(x18071,x18072)+E(f888(x18071,x18073),f888(x18072,x18073)) % 242.40/242.49 [1808]~E(x18081,x18082)+E(f888(x18083,x18081),f888(x18083,x18082)) % 242.40/242.49 [1809]~E(x18091,x18092)+E(f768(x18091,x18093,x18094,x18095,x18096,x18097,x18098),f768(x18092,x18093,x18094,x18095,x18096,x18097,x18098)) % 242.40/242.49 [1810]~E(x18101,x18102)+E(f768(x18103,x18101,x18104,x18105,x18106,x18107,x18108),f768(x18103,x18102,x18104,x18105,x18106,x18107,x18108)) % 242.40/242.49 [1811]~E(x18111,x18112)+E(f768(x18113,x18114,x18111,x18115,x18116,x18117,x18118),f768(x18113,x18114,x18112,x18115,x18116,x18117,x18118)) % 242.40/242.49 [1812]~E(x18121,x18122)+E(f768(x18123,x18124,x18125,x18121,x18126,x18127,x18128),f768(x18123,x18124,x18125,x18122,x18126,x18127,x18128)) % 242.40/242.49 [1813]~E(x18131,x18132)+E(f768(x18133,x18134,x18135,x18136,x18131,x18137,x18138),f768(x18133,x18134,x18135,x18136,x18132,x18137,x18138)) % 242.40/242.49 [1814]~E(x18141,x18142)+E(f768(x18143,x18144,x18145,x18146,x18147,x18141,x18148),f768(x18143,x18144,x18145,x18146,x18147,x18142,x18148)) % 242.40/242.49 [1815]~E(x18151,x18152)+E(f768(x18153,x18154,x18155,x18156,x18157,x18158,x18151),f768(x18153,x18154,x18155,x18156,x18157,x18158,x18152)) % 242.40/242.49 [1816]~E(x18161,x18162)+E(f625(x18161,x18163,x18164,x18165,x18166),f625(x18162,x18163,x18164,x18165,x18166)) % 242.40/242.49 [1817]~E(x18171,x18172)+E(f625(x18173,x18171,x18174,x18175,x18176),f625(x18173,x18172,x18174,x18175,x18176)) % 242.40/242.49 [1818]~E(x18181,x18182)+E(f625(x18183,x18184,x18181,x18185,x18186),f625(x18183,x18184,x18182,x18185,x18186)) % 242.40/242.49 [1819]~E(x18191,x18192)+E(f625(x18193,x18194,x18195,x18191,x18196),f625(x18193,x18194,x18195,x18192,x18196)) % 242.40/242.49 [1820]~E(x18201,x18202)+E(f625(x18203,x18204,x18205,x18206,x18201),f625(x18203,x18204,x18205,x18206,x18202)) % 242.40/242.49 [1821]~E(x18211,x18212)+E(f130(x18211,x18213,x18214,x18215,x18216),f130(x18212,x18213,x18214,x18215,x18216)) % 242.40/242.49 [1822]~E(x18221,x18222)+E(f130(x18223,x18221,x18224,x18225,x18226),f130(x18223,x18222,x18224,x18225,x18226)) % 242.40/242.49 [1823]~E(x18231,x18232)+E(f130(x18233,x18234,x18231,x18235,x18236),f130(x18233,x18234,x18232,x18235,x18236)) % 242.40/242.49 [1824]~E(x18241,x18242)+E(f130(x18243,x18244,x18245,x18241,x18246),f130(x18243,x18244,x18245,x18242,x18246)) % 242.40/242.49 [1825]~E(x18251,x18252)+E(f130(x18253,x18254,x18255,x18256,x18251),f130(x18253,x18254,x18255,x18256,x18252)) % 242.40/242.49 [1826]~E(x18261,x18262)+E(f669(x18261,x18263,x18264),f669(x18262,x18263,x18264)) % 242.40/242.49 [1827]~E(x18271,x18272)+E(f669(x18273,x18271,x18274),f669(x18273,x18272,x18274)) % 242.40/242.49 [1828]~E(x18281,x18282)+E(f669(x18283,x18284,x18281),f669(x18283,x18284,x18282)) % 242.40/242.49 [1829]~E(x18291,x18292)+E(f907(x18291,x18293,x18294,x18295,x18296),f907(x18292,x18293,x18294,x18295,x18296)) % 242.40/242.49 [1830]~E(x18301,x18302)+E(f907(x18303,x18301,x18304,x18305,x18306),f907(x18303,x18302,x18304,x18305,x18306)) % 242.40/242.49 [1831]~E(x18311,x18312)+E(f907(x18313,x18314,x18311,x18315,x18316),f907(x18313,x18314,x18312,x18315,x18316)) % 242.40/242.49 [1832]~E(x18321,x18322)+E(f907(x18323,x18324,x18325,x18321,x18326),f907(x18323,x18324,x18325,x18322,x18326)) % 242.40/242.49 [1833]~E(x18331,x18332)+E(f907(x18333,x18334,x18335,x18336,x18331),f907(x18333,x18334,x18335,x18336,x18332)) % 242.40/242.49 [1834]~E(x18341,x18342)+E(f522(x18341,x18343,x18344),f522(x18342,x18343,x18344)) % 242.40/242.49 [1835]~E(x18351,x18352)+E(f522(x18353,x18351,x18354),f522(x18353,x18352,x18354)) % 242.40/242.49 [1836]~E(x18361,x18362)+E(f522(x18363,x18364,x18361),f522(x18363,x18364,x18362)) % 242.40/242.49 [1837]~E(x18371,x18372)+E(f802(x18371),f802(x18372)) % 242.40/242.49 [1838]~E(x18381,x18382)+E(f427(x18381,x18383,x18384,x18385),f427(x18382,x18383,x18384,x18385)) % 242.40/242.49 [1839]~E(x18391,x18392)+E(f427(x18393,x18391,x18394,x18395),f427(x18393,x18392,x18394,x18395)) % 242.40/242.49 [1840]~E(x18401,x18402)+E(f427(x18403,x18404,x18401,x18405),f427(x18403,x18404,x18402,x18405)) % 242.40/242.49 [1841]~E(x18411,x18412)+E(f427(x18413,x18414,x18415,x18411),f427(x18413,x18414,x18415,x18412)) % 242.40/242.49 [1842]~E(x18421,x18422)+E(f821(x18421,x18423,x18424,x18425),f821(x18422,x18423,x18424,x18425)) % 242.40/242.49 [1843]~E(x18431,x18432)+E(f821(x18433,x18431,x18434,x18435),f821(x18433,x18432,x18434,x18435)) % 242.40/242.49 [1844]~E(x18441,x18442)+E(f821(x18443,x18444,x18441,x18445),f821(x18443,x18444,x18442,x18445)) % 242.40/242.49 [1845]~E(x18451,x18452)+E(f821(x18453,x18454,x18455,x18451),f821(x18453,x18454,x18455,x18452)) % 242.40/242.49 [1846]~E(x18461,x18462)+E(f706(x18461,x18463,x18464,x18465),f706(x18462,x18463,x18464,x18465)) % 242.40/242.49 [1847]~E(x18471,x18472)+E(f706(x18473,x18471,x18474,x18475),f706(x18473,x18472,x18474,x18475)) % 242.40/242.49 [1848]~E(x18481,x18482)+E(f706(x18483,x18484,x18481,x18485),f706(x18483,x18484,x18482,x18485)) % 242.40/242.49 [1849]~E(x18491,x18492)+E(f706(x18493,x18494,x18495,x18491),f706(x18493,x18494,x18495,x18492)) % 242.40/242.49 [1850]~E(x18501,x18502)+E(f127(x18501),f127(x18502)) % 242.40/242.49 [1851]~E(x18511,x18512)+E(f723(x18511,x18513,x18514,x18515),f723(x18512,x18513,x18514,x18515)) % 242.40/242.49 [1852]~E(x18521,x18522)+E(f723(x18523,x18521,x18524,x18525),f723(x18523,x18522,x18524,x18525)) % 242.40/242.49 [1853]~E(x18531,x18532)+E(f723(x18533,x18534,x18531,x18535),f723(x18533,x18534,x18532,x18535)) % 242.40/242.49 [1854]~E(x18541,x18542)+E(f723(x18543,x18544,x18545,x18541),f723(x18543,x18544,x18545,x18542)) % 242.40/242.49 [1855]~E(x18551,x18552)+E(f146(x18551,x18553),f146(x18552,x18553)) % 242.40/242.49 [1856]~E(x18561,x18562)+E(f146(x18563,x18561),f146(x18563,x18562)) % 242.40/242.49 [1857]~E(x18571,x18572)+E(f300(x18571,x18573,x18574,x18575,x18576),f300(x18572,x18573,x18574,x18575,x18576)) % 242.40/242.49 [1858]~E(x18581,x18582)+E(f300(x18583,x18581,x18584,x18585,x18586),f300(x18583,x18582,x18584,x18585,x18586)) % 242.40/242.49 [1859]~E(x18591,x18592)+E(f300(x18593,x18594,x18591,x18595,x18596),f300(x18593,x18594,x18592,x18595,x18596)) % 242.40/242.49 [1860]~E(x18601,x18602)+E(f300(x18603,x18604,x18605,x18601,x18606),f300(x18603,x18604,x18605,x18602,x18606)) % 242.40/242.49 [1861]~E(x18611,x18612)+E(f300(x18613,x18614,x18615,x18616,x18611),f300(x18613,x18614,x18615,x18616,x18612)) % 242.40/242.49 [1862]~E(x18621,x18622)+E(f733(x18621,x18623,x18624),f733(x18622,x18623,x18624)) % 242.40/242.49 [1863]~E(x18631,x18632)+E(f733(x18633,x18631,x18634),f733(x18633,x18632,x18634)) % 242.40/242.49 [1864]~E(x18641,x18642)+E(f733(x18643,x18644,x18641),f733(x18643,x18644,x18642)) % 242.40/242.49 [1865]~E(x18651,x18652)+E(f90(x18651),f90(x18652)) % 242.40/242.49 [1866]~E(x18661,x18662)+E(f423(x18661,x18663,x18664),f423(x18662,x18663,x18664)) % 242.40/242.49 [1867]~E(x18671,x18672)+E(f423(x18673,x18671,x18674),f423(x18673,x18672,x18674)) % 242.40/242.49 [1868]~E(x18681,x18682)+E(f423(x18683,x18684,x18681),f423(x18683,x18684,x18682)) % 242.40/242.49 [1869]~E(x18691,x18692)+E(f208(x18691),f208(x18692)) % 242.40/242.49 [1870]~E(x18701,x18702)+E(f705(x18701,x18703,x18704,x18705),f705(x18702,x18703,x18704,x18705)) % 242.40/242.49 [1871]~E(x18711,x18712)+E(f705(x18713,x18711,x18714,x18715),f705(x18713,x18712,x18714,x18715)) % 242.40/242.49 [1872]~E(x18721,x18722)+E(f705(x18723,x18724,x18721,x18725),f705(x18723,x18724,x18722,x18725)) % 242.40/242.49 [1873]~E(x18731,x18732)+E(f705(x18733,x18734,x18735,x18731),f705(x18733,x18734,x18735,x18732)) % 242.40/242.49 [1874]~E(x18741,x18742)+E(f404(x18741,x18743,x18744,x18745),f404(x18742,x18743,x18744,x18745)) % 242.40/242.49 [1875]~E(x18751,x18752)+E(f404(x18753,x18751,x18754,x18755),f404(x18753,x18752,x18754,x18755)) % 242.40/242.49 [1876]~E(x18761,x18762)+E(f404(x18763,x18764,x18761,x18765),f404(x18763,x18764,x18762,x18765)) % 242.40/242.49 [1877]~E(x18771,x18772)+E(f404(x18773,x18774,x18775,x18771),f404(x18773,x18774,x18775,x18772)) % 242.40/242.49 [1878]~E(x18781,x18782)+E(f801(x18781,x18783),f801(x18782,x18783)) % 242.40/242.49 [1879]~E(x18791,x18792)+E(f801(x18793,x18791),f801(x18793,x18792)) % 242.40/242.49 [1880]~E(x18801,x18802)+E(f849(x18801,x18803,x18804,x18805),f849(x18802,x18803,x18804,x18805)) % 242.40/242.49 [1881]~E(x18811,x18812)+E(f849(x18813,x18811,x18814,x18815),f849(x18813,x18812,x18814,x18815)) % 242.40/242.49 [1882]~E(x18821,x18822)+E(f849(x18823,x18824,x18821,x18825),f849(x18823,x18824,x18822,x18825)) % 242.40/242.49 [1883]~E(x18831,x18832)+E(f849(x18833,x18834,x18835,x18831),f849(x18833,x18834,x18835,x18832)) % 242.40/242.49 [1884]~E(x18841,x18842)+E(f635(x18841,x18843),f635(x18842,x18843)) % 242.40/242.49 [1885]~E(x18851,x18852)+E(f635(x18853,x18851),f635(x18853,x18852)) % 242.40/242.49 [1886]~E(x18861,x18862)+E(f865(x18861,x18863,x18864,x18865,x18866,x18867,x18868),f865(x18862,x18863,x18864,x18865,x18866,x18867,x18868)) % 242.40/242.49 [1887]~E(x18871,x18872)+E(f865(x18873,x18871,x18874,x18875,x18876,x18877,x18878),f865(x18873,x18872,x18874,x18875,x18876,x18877,x18878)) % 242.40/242.49 [1888]~E(x18881,x18882)+E(f865(x18883,x18884,x18881,x18885,x18886,x18887,x18888),f865(x18883,x18884,x18882,x18885,x18886,x18887,x18888)) % 242.40/242.49 [1889]~E(x18891,x18892)+E(f865(x18893,x18894,x18895,x18891,x18896,x18897,x18898),f865(x18893,x18894,x18895,x18892,x18896,x18897,x18898)) % 242.40/242.49 [1890]~E(x18901,x18902)+E(f865(x18903,x18904,x18905,x18906,x18901,x18907,x18908),f865(x18903,x18904,x18905,x18906,x18902,x18907,x18908)) % 242.40/242.49 [1891]~E(x18911,x18912)+E(f865(x18913,x18914,x18915,x18916,x18917,x18911,x18918),f865(x18913,x18914,x18915,x18916,x18917,x18912,x18918)) % 242.40/242.49 [1892]~E(x18921,x18922)+E(f865(x18923,x18924,x18925,x18926,x18927,x18928,x18921),f865(x18923,x18924,x18925,x18926,x18927,x18928,x18922)) % 242.40/242.49 [1893]~E(x18931,x18932)+E(f574(x18931,x18933,x18934,x18935),f574(x18932,x18933,x18934,x18935)) % 242.40/242.49 [1894]~E(x18941,x18942)+E(f574(x18943,x18941,x18944,x18945),f574(x18943,x18942,x18944,x18945)) % 242.40/242.49 [1895]~E(x18951,x18952)+E(f574(x18953,x18954,x18951,x18955),f574(x18953,x18954,x18952,x18955)) % 242.40/242.49 [1896]~E(x18961,x18962)+E(f574(x18963,x18964,x18965,x18961),f574(x18963,x18964,x18965,x18962)) % 242.40/242.49 [1897]~E(x18971,x18972)+E(f211(x18971,x18973,x18974,x18975,x18976,x18977,x18978),f211(x18972,x18973,x18974,x18975,x18976,x18977,x18978)) % 242.40/242.49 [1898]~E(x18981,x18982)+E(f211(x18983,x18981,x18984,x18985,x18986,x18987,x18988),f211(x18983,x18982,x18984,x18985,x18986,x18987,x18988)) % 242.40/242.49 [1899]~E(x18991,x18992)+E(f211(x18993,x18994,x18991,x18995,x18996,x18997,x18998),f211(x18993,x18994,x18992,x18995,x18996,x18997,x18998)) % 242.40/242.49 [1900]~E(x19001,x19002)+E(f211(x19003,x19004,x19005,x19001,x19006,x19007,x19008),f211(x19003,x19004,x19005,x19002,x19006,x19007,x19008)) % 242.40/242.49 [1901]~E(x19011,x19012)+E(f211(x19013,x19014,x19015,x19016,x19011,x19017,x19018),f211(x19013,x19014,x19015,x19016,x19012,x19017,x19018)) % 242.40/242.49 [1902]~E(x19021,x19022)+E(f211(x19023,x19024,x19025,x19026,x19027,x19021,x19028),f211(x19023,x19024,x19025,x19026,x19027,x19022,x19028)) % 242.40/242.49 [1903]~E(x19031,x19032)+E(f211(x19033,x19034,x19035,x19036,x19037,x19038,x19031),f211(x19033,x19034,x19035,x19036,x19037,x19038,x19032)) % 242.40/242.49 [1904]~E(x19041,x19042)+E(f897(x19041,x19043,x19044,x19045,x19046),f897(x19042,x19043,x19044,x19045,x19046)) % 242.40/242.49 [1905]~E(x19051,x19052)+E(f897(x19053,x19051,x19054,x19055,x19056),f897(x19053,x19052,x19054,x19055,x19056)) % 242.40/242.49 [1906]~E(x19061,x19062)+E(f897(x19063,x19064,x19061,x19065,x19066),f897(x19063,x19064,x19062,x19065,x19066)) % 242.40/242.49 [1907]~E(x19071,x19072)+E(f897(x19073,x19074,x19075,x19071,x19076),f897(x19073,x19074,x19075,x19072,x19076)) % 242.40/242.49 [1908]~E(x19081,x19082)+E(f897(x19083,x19084,x19085,x19086,x19081),f897(x19083,x19084,x19085,x19086,x19082)) % 242.40/242.49 [1909]~E(x19091,x19092)+E(f205(x19091),f205(x19092)) % 242.40/242.49 [1910]~E(x19101,x19102)+E(f388(x19101,x19103,x19104,x19105),f388(x19102,x19103,x19104,x19105)) % 242.40/242.49 [1911]~E(x19111,x19112)+E(f388(x19113,x19111,x19114,x19115),f388(x19113,x19112,x19114,x19115)) % 242.40/242.49 [1912]~E(x19121,x19122)+E(f388(x19123,x19124,x19121,x19125),f388(x19123,x19124,x19122,x19125)) % 242.40/242.49 [1913]~E(x19131,x19132)+E(f388(x19133,x19134,x19135,x19131),f388(x19133,x19134,x19135,x19132)) % 242.40/242.49 [1914]~E(x19141,x19142)+E(f487(x19141,x19143,x19144),f487(x19142,x19143,x19144)) % 242.40/242.49 [1915]~E(x19151,x19152)+E(f487(x19153,x19151,x19154),f487(x19153,x19152,x19154)) % 242.40/242.49 [1916]~E(x19161,x19162)+E(f487(x19163,x19164,x19161),f487(x19163,x19164,x19162)) % 242.40/242.49 [1917]~E(x19171,x19172)+E(f408(x19171,x19173,x19174,x19175),f408(x19172,x19173,x19174,x19175)) % 242.40/242.49 [1918]~E(x19181,x19182)+E(f408(x19183,x19181,x19184,x19185),f408(x19183,x19182,x19184,x19185)) % 242.40/242.49 [1919]~E(x19191,x19192)+E(f408(x19193,x19194,x19191,x19195),f408(x19193,x19194,x19192,x19195)) % 242.40/242.49 [1920]~E(x19201,x19202)+E(f408(x19203,x19204,x19205,x19201),f408(x19203,x19204,x19205,x19202)) % 242.40/242.49 [1921]~E(x19211,x19212)+E(f710(x19211,x19213,x19214),f710(x19212,x19213,x19214)) % 242.40/242.49 [1922]~E(x19221,x19222)+E(f710(x19223,x19221,x19224),f710(x19223,x19222,x19224)) % 242.40/242.49 [1923]~E(x19231,x19232)+E(f710(x19233,x19234,x19231),f710(x19233,x19234,x19232)) % 242.40/242.49 [1924]~E(x19241,x19242)+E(f540(x19241,x19243,x19244,x19245,x19246),f540(x19242,x19243,x19244,x19245,x19246)) % 242.40/242.49 [1925]~E(x19251,x19252)+E(f540(x19253,x19251,x19254,x19255,x19256),f540(x19253,x19252,x19254,x19255,x19256)) % 242.40/242.49 [1926]~E(x19261,x19262)+E(f540(x19263,x19264,x19261,x19265,x19266),f540(x19263,x19264,x19262,x19265,x19266)) % 242.40/242.49 [1927]~E(x19271,x19272)+E(f540(x19273,x19274,x19275,x19271,x19276),f540(x19273,x19274,x19275,x19272,x19276)) % 242.40/242.49 [1928]~E(x19281,x19282)+E(f540(x19283,x19284,x19285,x19286,x19281),f540(x19283,x19284,x19285,x19286,x19282)) % 242.40/242.49 [1929]~E(x19291,x19292)+E(f641(x19291,x19293,x19294),f641(x19292,x19293,x19294)) % 242.40/242.49 [1930]~E(x19301,x19302)+E(f641(x19303,x19301,x19304),f641(x19303,x19302,x19304)) % 242.40/242.49 [1931]~E(x19311,x19312)+E(f641(x19313,x19314,x19311),f641(x19313,x19314,x19312)) % 242.40/242.49 [1932]~E(x19321,x19322)+E(f580(x19321,x19323,x19324,x19325,x19326,x19327,x19328),f580(x19322,x19323,x19324,x19325,x19326,x19327,x19328)) % 242.40/242.49 [1933]~E(x19331,x19332)+E(f580(x19333,x19331,x19334,x19335,x19336,x19337,x19338),f580(x19333,x19332,x19334,x19335,x19336,x19337,x19338)) % 242.40/242.49 [1934]~E(x19341,x19342)+E(f580(x19343,x19344,x19341,x19345,x19346,x19347,x19348),f580(x19343,x19344,x19342,x19345,x19346,x19347,x19348)) % 242.40/242.49 [1935]~E(x19351,x19352)+E(f580(x19353,x19354,x19355,x19351,x19356,x19357,x19358),f580(x19353,x19354,x19355,x19352,x19356,x19357,x19358)) % 242.40/242.49 [1936]~E(x19361,x19362)+E(f580(x19363,x19364,x19365,x19366,x19361,x19367,x19368),f580(x19363,x19364,x19365,x19366,x19362,x19367,x19368)) % 242.40/242.49 [1937]~E(x19371,x19372)+E(f580(x19373,x19374,x19375,x19376,x19377,x19371,x19378),f580(x19373,x19374,x19375,x19376,x19377,x19372,x19378)) % 242.40/242.49 [1938]~E(x19381,x19382)+E(f580(x19383,x19384,x19385,x19386,x19387,x19388,x19381),f580(x19383,x19384,x19385,x19386,x19387,x19388,x19382)) % 242.40/242.49 [1939]~E(x19391,x19392)+E(f606(x19391,x19393,x19394,x19395,x19396),f606(x19392,x19393,x19394,x19395,x19396)) % 242.40/242.49 [1940]~E(x19401,x19402)+E(f606(x19403,x19401,x19404,x19405,x19406),f606(x19403,x19402,x19404,x19405,x19406)) % 242.40/242.49 [1941]~E(x19411,x19412)+E(f606(x19413,x19414,x19411,x19415,x19416),f606(x19413,x19414,x19412,x19415,x19416)) % 242.40/242.49 [1942]~E(x19421,x19422)+E(f606(x19423,x19424,x19425,x19421,x19426),f606(x19423,x19424,x19425,x19422,x19426)) % 242.40/242.49 [1943]~E(x19431,x19432)+E(f606(x19433,x19434,x19435,x19436,x19431),f606(x19433,x19434,x19435,x19436,x19432)) % 242.40/242.49 [1944]~E(x19441,x19442)+E(f413(x19441,x19443,x19444,x19445),f413(x19442,x19443,x19444,x19445)) % 242.40/242.49 [1945]~E(x19451,x19452)+E(f413(x19453,x19451,x19454,x19455),f413(x19453,x19452,x19454,x19455)) % 242.40/242.49 [1946]~E(x19461,x19462)+E(f413(x19463,x19464,x19461,x19465),f413(x19463,x19464,x19462,x19465)) % 242.40/242.49 [1947]~E(x19471,x19472)+E(f413(x19473,x19474,x19475,x19471),f413(x19473,x19474,x19475,x19472)) % 242.40/242.49 [1948]~E(x19481,x19482)+E(f904(x19481,x19483),f904(x19482,x19483)) % 242.40/242.49 [1949]~E(x19491,x19492)+E(f904(x19493,x19491),f904(x19493,x19492)) % 242.40/242.49 [1950]~E(x19501,x19502)+E(f914(x19501,x19503,x19504,x19505),f914(x19502,x19503,x19504,x19505)) % 242.40/242.49 [1951]~E(x19511,x19512)+E(f914(x19513,x19511,x19514,x19515),f914(x19513,x19512,x19514,x19515)) % 242.40/242.49 [1952]~E(x19521,x19522)+E(f914(x19523,x19524,x19521,x19525),f914(x19523,x19524,x19522,x19525)) % 242.40/242.49 [1953]~E(x19531,x19532)+E(f914(x19533,x19534,x19535,x19531),f914(x19533,x19534,x19535,x19532)) % 242.40/242.49 [1954]~E(x19541,x19542)+E(f510(x19541,x19543,x19544),f510(x19542,x19543,x19544)) % 242.40/242.49 [1955]~E(x19551,x19552)+E(f510(x19553,x19551,x19554),f510(x19553,x19552,x19554)) % 242.40/242.49 [1956]~E(x19561,x19562)+E(f510(x19563,x19564,x19561),f510(x19563,x19564,x19562)) % 242.40/242.49 [1957]~E(x19571,x19572)+E(f383(x19571,x19573,x19574,x19575,x19576,x19577),f383(x19572,x19573,x19574,x19575,x19576,x19577)) % 242.40/242.49 [1958]~E(x19581,x19582)+E(f383(x19583,x19581,x19584,x19585,x19586,x19587),f383(x19583,x19582,x19584,x19585,x19586,x19587)) % 242.40/242.49 [1959]~E(x19591,x19592)+E(f383(x19593,x19594,x19591,x19595,x19596,x19597),f383(x19593,x19594,x19592,x19595,x19596,x19597)) % 242.40/242.49 [1960]~E(x19601,x19602)+E(f383(x19603,x19604,x19605,x19601,x19606,x19607),f383(x19603,x19604,x19605,x19602,x19606,x19607)) % 242.40/242.49 [1961]~E(x19611,x19612)+E(f383(x19613,x19614,x19615,x19616,x19611,x19617),f383(x19613,x19614,x19615,x19616,x19612,x19617)) % 242.40/242.49 [1962]~E(x19621,x19622)+E(f383(x19623,x19624,x19625,x19626,x19627,x19621),f383(x19623,x19624,x19625,x19626,x19627,x19622)) % 242.40/242.49 [1963]~E(x19631,x19632)+E(f297(x19631,x19633,x19634),f297(x19632,x19633,x19634)) % 242.40/242.49 [1964]~E(x19641,x19642)+E(f297(x19643,x19641,x19644),f297(x19643,x19642,x19644)) % 242.40/242.49 [1965]~E(x19651,x19652)+E(f297(x19653,x19654,x19651),f297(x19653,x19654,x19652)) % 242.40/242.49 [1966]~E(x19661,x19662)+E(f456(x19661,x19663,x19664),f456(x19662,x19663,x19664)) % 242.40/242.49 [1967]~E(x19671,x19672)+E(f456(x19673,x19671,x19674),f456(x19673,x19672,x19674)) % 242.40/242.49 [1968]~E(x19681,x19682)+E(f456(x19683,x19684,x19681),f456(x19683,x19684,x19682)) % 242.40/242.49 [1969]~E(x19691,x19692)+E(f601(x19691,x19693),f601(x19692,x19693)) % 242.40/242.49 [1970]~E(x19701,x19702)+E(f601(x19703,x19701),f601(x19703,x19702)) % 242.40/242.49 [1971]~E(x19711,x19712)+E(f372(x19711,x19713,x19714,x19715,x19716,x19717),f372(x19712,x19713,x19714,x19715,x19716,x19717)) % 242.40/242.49 [1972]~E(x19721,x19722)+E(f372(x19723,x19721,x19724,x19725,x19726,x19727),f372(x19723,x19722,x19724,x19725,x19726,x19727)) % 242.40/242.49 [1973]~E(x19731,x19732)+E(f372(x19733,x19734,x19731,x19735,x19736,x19737),f372(x19733,x19734,x19732,x19735,x19736,x19737)) % 242.40/242.49 [1974]~E(x19741,x19742)+E(f372(x19743,x19744,x19745,x19741,x19746,x19747),f372(x19743,x19744,x19745,x19742,x19746,x19747)) % 242.40/242.49 [1975]~E(x19751,x19752)+E(f372(x19753,x19754,x19755,x19756,x19751,x19757),f372(x19753,x19754,x19755,x19756,x19752,x19757)) % 242.40/242.49 [1976]~E(x19761,x19762)+E(f372(x19763,x19764,x19765,x19766,x19767,x19761),f372(x19763,x19764,x19765,x19766,x19767,x19762)) % 242.40/242.49 [1977]~E(x19771,x19772)+E(f614(x19771,x19773,x19774,x19775,x19776),f614(x19772,x19773,x19774,x19775,x19776)) % 242.40/242.49 [1978]~E(x19781,x19782)+E(f614(x19783,x19781,x19784,x19785,x19786),f614(x19783,x19782,x19784,x19785,x19786)) % 242.40/242.49 [1979]~E(x19791,x19792)+E(f614(x19793,x19794,x19791,x19795,x19796),f614(x19793,x19794,x19792,x19795,x19796)) % 242.40/242.49 [1980]~E(x19801,x19802)+E(f614(x19803,x19804,x19805,x19801,x19806),f614(x19803,x19804,x19805,x19802,x19806)) % 242.40/242.49 [1981]~E(x19811,x19812)+E(f614(x19813,x19814,x19815,x19816,x19811),f614(x19813,x19814,x19815,x19816,x19812)) % 242.40/242.49 [1982]~E(x19821,x19822)+E(f505(x19821,x19823),f505(x19822,x19823)) % 242.40/242.49 [1983]~E(x19831,x19832)+E(f505(x19833,x19831),f505(x19833,x19832)) % 242.40/242.49 [1984]~E(x19841,x19842)+E(f673(x19841,x19843,x19844,x19845),f673(x19842,x19843,x19844,x19845)) % 242.40/242.49 [1985]~E(x19851,x19852)+E(f673(x19853,x19851,x19854,x19855),f673(x19853,x19852,x19854,x19855)) % 242.40/242.49 [1986]~E(x19861,x19862)+E(f673(x19863,x19864,x19861,x19865),f673(x19863,x19864,x19862,x19865)) % 242.40/242.49 [1987]~E(x19871,x19872)+E(f673(x19873,x19874,x19875,x19871),f673(x19873,x19874,x19875,x19872)) % 242.40/242.49 [1988]~E(x19881,x19882)+E(f371(x19881,x19883),f371(x19882,x19883)) % 242.40/242.49 [1989]~E(x19891,x19892)+E(f371(x19893,x19891),f371(x19893,x19892)) % 242.40/242.49 [1990]~E(x19901,x19902)+E(f588(x19901,x19903,x19904),f588(x19902,x19903,x19904)) % 242.40/242.49 [1991]~E(x19911,x19912)+E(f588(x19913,x19911,x19914),f588(x19913,x19912,x19914)) % 242.40/242.49 [1992]~E(x19921,x19922)+E(f588(x19923,x19924,x19921),f588(x19923,x19924,x19922)) % 242.40/242.49 [1993]~E(x19931,x19932)+E(f206(x19931,x19933),f206(x19932,x19933)) % 242.40/242.49 [1994]~E(x19941,x19942)+E(f206(x19943,x19941),f206(x19943,x19942)) % 242.40/242.49 [1995]~E(x19951,x19952)+E(f479(x19951,x19953,x19954),f479(x19952,x19953,x19954)) % 242.40/242.49 [1996]~E(x19961,x19962)+E(f479(x19963,x19961,x19964),f479(x19963,x19962,x19964)) % 242.40/242.49 [1997]~E(x19971,x19972)+E(f479(x19973,x19974,x19971),f479(x19973,x19974,x19972)) % 242.40/242.49 [1998]~E(x19981,x19982)+E(f559(x19981),f559(x19982)) % 242.40/242.49 [1999]~E(x19991,x19992)+E(f491(x19991,x19993,x19994,x19995,x19996),f491(x19992,x19993,x19994,x19995,x19996)) % 242.40/242.49 [2000]~E(x20001,x20002)+E(f491(x20003,x20001,x20004,x20005,x20006),f491(x20003,x20002,x20004,x20005,x20006)) % 242.40/242.49 [2001]~E(x20011,x20012)+E(f491(x20013,x20014,x20011,x20015,x20016),f491(x20013,x20014,x20012,x20015,x20016)) % 242.40/242.49 [2002]~E(x20021,x20022)+E(f491(x20023,x20024,x20025,x20021,x20026),f491(x20023,x20024,x20025,x20022,x20026)) % 242.40/242.49 [2003]~E(x20031,x20032)+E(f491(x20033,x20034,x20035,x20036,x20031),f491(x20033,x20034,x20035,x20036,x20032)) % 242.40/242.49 [2004]~E(x20041,x20042)+E(f814(x20041),f814(x20042)) % 242.40/242.49 [2005]~E(x20051,x20052)+E(f703(x20051,x20053,x20054,x20055,x20056),f703(x20052,x20053,x20054,x20055,x20056)) % 242.40/242.49 [2006]~E(x20061,x20062)+E(f703(x20063,x20061,x20064,x20065,x20066),f703(x20063,x20062,x20064,x20065,x20066)) % 242.40/242.49 [2007]~E(x20071,x20072)+E(f703(x20073,x20074,x20071,x20075,x20076),f703(x20073,x20074,x20072,x20075,x20076)) % 242.40/242.49 [2008]~E(x20081,x20082)+E(f703(x20083,x20084,x20085,x20081,x20086),f703(x20083,x20084,x20085,x20082,x20086)) % 242.40/242.49 [2009]~E(x20091,x20092)+E(f703(x20093,x20094,x20095,x20096,x20091),f703(x20093,x20094,x20095,x20096,x20092)) % 242.40/242.49 [2010]~E(x20101,x20102)+E(f390(x20101,x20103,x20104,x20105),f390(x20102,x20103,x20104,x20105)) % 242.40/242.49 [2011]~E(x20111,x20112)+E(f390(x20113,x20111,x20114,x20115),f390(x20113,x20112,x20114,x20115)) % 242.40/242.49 [2012]~E(x20121,x20122)+E(f390(x20123,x20124,x20121,x20125),f390(x20123,x20124,x20122,x20125)) % 242.40/242.49 [2013]~E(x20131,x20132)+E(f390(x20133,x20134,x20135,x20131),f390(x20133,x20134,x20135,x20132)) % 242.40/242.49 [2014]~E(x20141,x20142)+E(f405(x20141,x20143,x20144,x20145),f405(x20142,x20143,x20144,x20145)) % 242.40/242.49 [2015]~E(x20151,x20152)+E(f405(x20153,x20151,x20154,x20155),f405(x20153,x20152,x20154,x20155)) % 242.40/242.49 [2016]~E(x20161,x20162)+E(f405(x20163,x20164,x20161,x20165),f405(x20163,x20164,x20162,x20165)) % 242.40/242.49 [2017]~E(x20171,x20172)+E(f405(x20173,x20174,x20175,x20171),f405(x20173,x20174,x20175,x20172)) % 242.40/242.49 [2018]~E(x20181,x20182)+E(f921(x20181,x20183),f921(x20182,x20183)) % 242.40/242.49 [2019]~E(x20191,x20192)+E(f921(x20193,x20191),f921(x20193,x20192)) % 242.40/242.49 [2020]~E(x20201,x20202)+E(f853(x20201,x20203,x20204,x20205,x20206,x20207),f853(x20202,x20203,x20204,x20205,x20206,x20207)) % 242.40/242.49 [2021]~E(x20211,x20212)+E(f853(x20213,x20211,x20214,x20215,x20216,x20217),f853(x20213,x20212,x20214,x20215,x20216,x20217)) % 242.40/242.49 [2022]~E(x20221,x20222)+E(f853(x20223,x20224,x20221,x20225,x20226,x20227),f853(x20223,x20224,x20222,x20225,x20226,x20227)) % 242.40/242.49 [2023]~E(x20231,x20232)+E(f853(x20233,x20234,x20235,x20231,x20236,x20237),f853(x20233,x20234,x20235,x20232,x20236,x20237)) % 242.40/242.49 [2024]~E(x20241,x20242)+E(f853(x20243,x20244,x20245,x20246,x20241,x20247),f853(x20243,x20244,x20245,x20246,x20242,x20247)) % 242.40/242.49 [2025]~E(x20251,x20252)+E(f853(x20253,x20254,x20255,x20256,x20257,x20251),f853(x20253,x20254,x20255,x20256,x20257,x20252)) % 242.40/242.49 [2026]~E(x20261,x20262)+E(f496(x20261,x20263,x20264,x20265),f496(x20262,x20263,x20264,x20265)) % 242.40/242.49 [2027]~E(x20271,x20272)+E(f496(x20273,x20271,x20274,x20275),f496(x20273,x20272,x20274,x20275)) % 242.40/242.49 [2028]~E(x20281,x20282)+E(f496(x20283,x20284,x20281,x20285),f496(x20283,x20284,x20282,x20285)) % 242.40/242.49 [2029]~E(x20291,x20292)+E(f496(x20293,x20294,x20295,x20291),f496(x20293,x20294,x20295,x20292)) % 242.40/242.49 [2030]~E(x20301,x20302)+E(f279(x20301,x20303),f279(x20302,x20303)) % 242.40/242.49 [2031]~E(x20311,x20312)+E(f279(x20313,x20311),f279(x20313,x20312)) % 242.40/242.49 [2032]~E(x20321,x20322)+E(f373(x20321,x20323),f373(x20322,x20323)) % 242.40/242.49 [2033]~E(x20331,x20332)+E(f373(x20333,x20331),f373(x20333,x20332)) % 242.40/242.49 [2034]~E(x20341,x20342)+E(f912(x20341,x20343,x20344),f912(x20342,x20343,x20344)) % 242.40/242.49 [2035]~E(x20351,x20352)+E(f912(x20353,x20351,x20354),f912(x20353,x20352,x20354)) % 242.40/242.49 [2036]~E(x20361,x20362)+E(f912(x20363,x20364,x20361),f912(x20363,x20364,x20362)) % 242.40/242.49 [2037]~E(x20371,x20372)+E(f644(x20371,x20373,x20374,x20375),f644(x20372,x20373,x20374,x20375)) % 242.40/242.49 [2038]~E(x20381,x20382)+E(f644(x20383,x20381,x20384,x20385),f644(x20383,x20382,x20384,x20385)) % 242.40/242.49 [2039]~E(x20391,x20392)+E(f644(x20393,x20394,x20391,x20395),f644(x20393,x20394,x20392,x20395)) % 242.40/242.49 [2040]~E(x20401,x20402)+E(f644(x20403,x20404,x20405,x20401),f644(x20403,x20404,x20405,x20402)) % 242.40/242.49 [2041]~E(x20411,x20412)+E(f335(x20411),f335(x20412)) % 242.40/242.49 [2042]~E(x20421,x20422)+E(f586(x20421,x20423,x20424),f586(x20422,x20423,x20424)) % 242.40/242.49 [2043]~E(x20431,x20432)+E(f586(x20433,x20431,x20434),f586(x20433,x20432,x20434)) % 242.40/242.49 [2044]~E(x20441,x20442)+E(f586(x20443,x20444,x20441),f586(x20443,x20444,x20442)) % 242.40/242.49 [2045]~E(x20451,x20452)+E(f695(x20451,x20453,x20454),f695(x20452,x20453,x20454)) % 242.40/242.49 [2046]~E(x20461,x20462)+E(f695(x20463,x20461,x20464),f695(x20463,x20462,x20464)) % 242.40/242.49 [2047]~E(x20471,x20472)+E(f695(x20473,x20474,x20471),f695(x20473,x20474,x20472)) % 242.40/242.49 [2048]~E(x20481,x20482)+E(f800(x20481,x20483,x20484,x20485),f800(x20482,x20483,x20484,x20485)) % 242.40/242.49 [2049]~E(x20491,x20492)+E(f800(x20493,x20491,x20494,x20495),f800(x20493,x20492,x20494,x20495)) % 242.40/242.49 [2050]~E(x20501,x20502)+E(f800(x20503,x20504,x20501,x20505),f800(x20503,x20504,x20502,x20505)) % 242.40/242.49 [2051]~E(x20511,x20512)+E(f800(x20513,x20514,x20515,x20511),f800(x20513,x20514,x20515,x20512)) % 242.40/242.49 [2052]~E(x20521,x20522)+E(f409(x20521,x20523,x20524,x20525),f409(x20522,x20523,x20524,x20525)) % 242.40/242.49 [2053]~E(x20531,x20532)+E(f409(x20533,x20531,x20534,x20535),f409(x20533,x20532,x20534,x20535)) % 242.40/242.49 [2054]~E(x20541,x20542)+E(f409(x20543,x20544,x20541,x20545),f409(x20543,x20544,x20542,x20545)) % 242.40/242.49 [2055]~E(x20551,x20552)+E(f409(x20553,x20554,x20555,x20551),f409(x20553,x20554,x20555,x20552)) % 242.40/242.49 [2056]~E(x20561,x20562)+E(f637(x20561,x20563,x20564),f637(x20562,x20563,x20564)) % 242.40/242.49 [2057]~E(x20571,x20572)+E(f637(x20573,x20571,x20574),f637(x20573,x20572,x20574)) % 242.40/242.49 [2058]~E(x20581,x20582)+E(f637(x20583,x20584,x20581),f637(x20583,x20584,x20582)) % 242.40/242.49 [2059]~E(x20591,x20592)+E(f499(x20591,x20593,x20594,x20595,x20596),f499(x20592,x20593,x20594,x20595,x20596)) % 242.40/242.49 [2060]~E(x20601,x20602)+E(f499(x20603,x20601,x20604,x20605,x20606),f499(x20603,x20602,x20604,x20605,x20606)) % 242.40/242.49 [2061]~E(x20611,x20612)+E(f499(x20613,x20614,x20611,x20615,x20616),f499(x20613,x20614,x20612,x20615,x20616)) % 242.40/242.49 [2062]~E(x20621,x20622)+E(f499(x20623,x20624,x20625,x20621,x20626),f499(x20623,x20624,x20625,x20622,x20626)) % 242.40/242.49 [2063]~E(x20631,x20632)+E(f499(x20633,x20634,x20635,x20636,x20631),f499(x20633,x20634,x20635,x20636,x20632)) % 242.40/242.49 [2064]~E(x20641,x20642)+E(f415(x20641),f415(x20642)) % 242.40/242.49 [2065]~E(x20651,x20652)+E(f894(x20651,x20653,x20654),f894(x20652,x20653,x20654)) % 242.40/242.49 [2066]~E(x20661,x20662)+E(f894(x20663,x20661,x20664),f894(x20663,x20662,x20664)) % 242.40/242.49 [2067]~E(x20671,x20672)+E(f894(x20673,x20674,x20671),f894(x20673,x20674,x20672)) % 242.40/242.49 [2068]~E(x20681,x20682)+E(f294(x20681,x20683),f294(x20682,x20683)) % 242.40/242.49 [2069]~E(x20691,x20692)+E(f294(x20693,x20691),f294(x20693,x20692)) % 242.40/242.49 [2070]~E(x20701,x20702)+E(f56(x20701,x20703),f56(x20702,x20703)) % 242.40/242.49 [2071]~E(x20711,x20712)+E(f56(x20713,x20711),f56(x20713,x20712)) % 242.40/242.49 [2072]~E(x20721,x20722)+E(f711(x20721,x20723,x20724),f711(x20722,x20723,x20724)) % 242.40/242.49 [2073]~E(x20731,x20732)+E(f711(x20733,x20731,x20734),f711(x20733,x20732,x20734)) % 242.40/242.49 [2074]~E(x20741,x20742)+E(f711(x20743,x20744,x20741),f711(x20743,x20744,x20742)) % 242.40/242.49 [2075]~E(x20751,x20752)+E(f660(x20751,x20753,x20754),f660(x20752,x20753,x20754)) % 242.40/242.49 [2076]~E(x20761,x20762)+E(f660(x20763,x20761,x20764),f660(x20763,x20762,x20764)) % 242.40/242.49 [2077]~E(x20771,x20772)+E(f660(x20773,x20774,x20771),f660(x20773,x20774,x20772)) % 242.40/242.49 [2078]~E(x20781,x20782)+E(f776(x20781,x20783,x20784),f776(x20782,x20783,x20784)) % 242.40/242.49 [2079]~E(x20791,x20792)+E(f776(x20793,x20791,x20794),f776(x20793,x20792,x20794)) % 242.40/242.49 [2080]~E(x20801,x20802)+E(f776(x20803,x20804,x20801),f776(x20803,x20804,x20802)) % 242.40/242.49 [2081]~E(x20811,x20812)+E(f864(x20811,x20813,x20814,x20815,x20816,x20817,x20818),f864(x20812,x20813,x20814,x20815,x20816,x20817,x20818)) % 242.40/242.49 [2082]~E(x20821,x20822)+E(f864(x20823,x20821,x20824,x20825,x20826,x20827,x20828),f864(x20823,x20822,x20824,x20825,x20826,x20827,x20828)) % 242.40/242.49 [2083]~E(x20831,x20832)+E(f864(x20833,x20834,x20831,x20835,x20836,x20837,x20838),f864(x20833,x20834,x20832,x20835,x20836,x20837,x20838)) % 242.40/242.49 [2084]~E(x20841,x20842)+E(f864(x20843,x20844,x20845,x20841,x20846,x20847,x20848),f864(x20843,x20844,x20845,x20842,x20846,x20847,x20848)) % 242.40/242.49 [2085]~E(x20851,x20852)+E(f864(x20853,x20854,x20855,x20856,x20851,x20857,x20858),f864(x20853,x20854,x20855,x20856,x20852,x20857,x20858)) % 242.40/242.49 [2086]~E(x20861,x20862)+E(f864(x20863,x20864,x20865,x20866,x20867,x20861,x20868),f864(x20863,x20864,x20865,x20866,x20867,x20862,x20868)) % 242.40/242.49 [2087]~E(x20871,x20872)+E(f864(x20873,x20874,x20875,x20876,x20877,x20878,x20871),f864(x20873,x20874,x20875,x20876,x20877,x20878,x20872)) % 242.40/242.49 [2088]~E(x20881,x20882)+E(f368(x20881,x20883,x20884),f368(x20882,x20883,x20884)) % 242.40/242.49 [2089]~E(x20891,x20892)+E(f368(x20893,x20891,x20894),f368(x20893,x20892,x20894)) % 242.40/242.49 [2090]~E(x20901,x20902)+E(f368(x20903,x20904,x20901),f368(x20903,x20904,x20902)) % 242.40/242.49 [2091]~E(x20911,x20912)+E(f460(x20911,x20913,x20914,x20915,x20916),f460(x20912,x20913,x20914,x20915,x20916)) % 242.40/242.49 [2092]~E(x20921,x20922)+E(f460(x20923,x20921,x20924,x20925,x20926),f460(x20923,x20922,x20924,x20925,x20926)) % 242.40/242.49 [2093]~E(x20931,x20932)+E(f460(x20933,x20934,x20931,x20935,x20936),f460(x20933,x20934,x20932,x20935,x20936)) % 242.40/242.49 [2094]~E(x20941,x20942)+E(f460(x20943,x20944,x20945,x20941,x20946),f460(x20943,x20944,x20945,x20942,x20946)) % 242.40/242.49 [2095]~E(x20951,x20952)+E(f460(x20953,x20954,x20955,x20956,x20951),f460(x20953,x20954,x20955,x20956,x20952)) % 242.40/242.49 [2096]~E(x20961,x20962)+E(f421(x20961),f421(x20962)) % 242.40/242.49 [2097]~E(x20971,x20972)+E(f604(x20971,x20973,x20974),f604(x20972,x20973,x20974)) % 242.40/242.49 [2098]~E(x20981,x20982)+E(f604(x20983,x20981,x20984),f604(x20983,x20982,x20984)) % 242.40/242.49 [2099]~E(x20991,x20992)+E(f604(x20993,x20994,x20991),f604(x20993,x20994,x20992)) % 242.40/242.49 [2100]~E(x21001,x21002)+E(f340(x21001,x21003),f340(x21002,x21003)) % 242.40/242.49 [2101]~E(x21011,x21012)+E(f340(x21013,x21011),f340(x21013,x21012)) % 242.40/242.49 [2102]~E(x21021,x21022)+E(f446(x21021,x21023),f446(x21022,x21023)) % 242.40/242.49 [2103]~E(x21031,x21032)+E(f446(x21033,x21031),f446(x21033,x21032)) % 242.40/242.49 [2104]~E(x21041,x21042)+E(f655(x21041,x21043,x21044),f655(x21042,x21043,x21044)) % 242.40/242.49 [2105]~E(x21051,x21052)+E(f655(x21053,x21051,x21054),f655(x21053,x21052,x21054)) % 242.40/242.49 [2106]~E(x21061,x21062)+E(f655(x21063,x21064,x21061),f655(x21063,x21064,x21062)) % 242.40/242.49 [2107]~E(x21071,x21072)+E(f591(x21071,x21073,x21074),f591(x21072,x21073,x21074)) % 242.40/242.49 [2108]~E(x21081,x21082)+E(f591(x21083,x21081,x21084),f591(x21083,x21082,x21084)) % 242.40/242.49 [2109]~E(x21091,x21092)+E(f591(x21093,x21094,x21091),f591(x21093,x21094,x21092)) % 242.40/242.49 [2110]~E(x21101,x21102)+E(f429(x21101,x21103,x21104),f429(x21102,x21103,x21104)) % 242.40/242.49 [2111]~E(x21111,x21112)+E(f429(x21113,x21111,x21114),f429(x21113,x21112,x21114)) % 242.40/242.49 [2112]~E(x21121,x21122)+E(f429(x21123,x21124,x21121),f429(x21123,x21124,x21122)) % 242.40/242.49 [2113]~E(x21131,x21132)+E(f549(x21131,x21133),f549(x21132,x21133)) % 242.40/242.49 [2114]~E(x21141,x21142)+E(f549(x21143,x21141),f549(x21143,x21142)) % 242.40/242.49 [2115]~E(x21151,x21152)+E(f818(x21151,x21153,x21154),f818(x21152,x21153,x21154)) % 242.40/242.49 [2116]~E(x21161,x21162)+E(f818(x21163,x21161,x21164),f818(x21163,x21162,x21164)) % 242.40/242.49 [2117]~E(x21171,x21172)+E(f818(x21173,x21174,x21171),f818(x21173,x21174,x21172)) % 242.40/242.49 [2118]~E(x21181,x21182)+E(f367(x21181,x21183),f367(x21182,x21183)) % 242.40/242.49 [2119]~E(x21191,x21192)+E(f367(x21193,x21191),f367(x21193,x21192)) % 242.40/242.49 [2120]~E(x21201,x21202)+E(f338(x21201,x21203),f338(x21202,x21203)) % 242.40/242.49 [2121]~E(x21211,x21212)+E(f338(x21213,x21211),f338(x21213,x21212)) % 242.40/242.49 [2122]~E(x21221,x21222)+E(f755(x21221,x21223,x21224,x21225),f755(x21222,x21223,x21224,x21225)) % 242.40/242.49 [2123]~E(x21231,x21232)+E(f755(x21233,x21231,x21234,x21235),f755(x21233,x21232,x21234,x21235)) % 242.40/242.49 [2124]~E(x21241,x21242)+E(f755(x21243,x21244,x21241,x21245),f755(x21243,x21244,x21242,x21245)) % 242.40/242.49 [2125]~E(x21251,x21252)+E(f755(x21253,x21254,x21255,x21251),f755(x21253,x21254,x21255,x21252)) % 242.40/242.49 [2126]~E(x21261,x21262)+E(f583(x21261,x21263,x21264,x21265,x21266,x21267),f583(x21262,x21263,x21264,x21265,x21266,x21267)) % 242.40/242.49 [2127]~E(x21271,x21272)+E(f583(x21273,x21271,x21274,x21275,x21276,x21277),f583(x21273,x21272,x21274,x21275,x21276,x21277)) % 242.40/242.49 [2128]~E(x21281,x21282)+E(f583(x21283,x21284,x21281,x21285,x21286,x21287),f583(x21283,x21284,x21282,x21285,x21286,x21287)) % 242.40/242.49 [2129]~E(x21291,x21292)+E(f583(x21293,x21294,x21295,x21291,x21296,x21297),f583(x21293,x21294,x21295,x21292,x21296,x21297)) % 242.40/242.49 [2130]~E(x21301,x21302)+E(f583(x21303,x21304,x21305,x21306,x21301,x21307),f583(x21303,x21304,x21305,x21306,x21302,x21307)) % 242.40/242.49 [2131]~E(x21311,x21312)+E(f583(x21313,x21314,x21315,x21316,x21317,x21311),f583(x21313,x21314,x21315,x21316,x21317,x21312)) % 242.40/242.49 [2132]~E(x21321,x21322)+E(f820(x21321,x21323,x21324),f820(x21322,x21323,x21324)) % 242.40/242.49 [2133]~E(x21331,x21332)+E(f820(x21333,x21331,x21334),f820(x21333,x21332,x21334)) % 242.40/242.49 [2134]~E(x21341,x21342)+E(f820(x21343,x21344,x21341),f820(x21343,x21344,x21342)) % 242.40/242.49 [2135]~E(x21351,x21352)+E(f488(x21351,x21353,x21354),f488(x21352,x21353,x21354)) % 242.40/242.49 [2136]~E(x21361,x21362)+E(f488(x21363,x21361,x21364),f488(x21363,x21362,x21364)) % 242.40/242.49 [2137]~E(x21371,x21372)+E(f488(x21373,x21374,x21371),f488(x21373,x21374,x21372)) % 242.40/242.49 [2138]~E(x21381,x21382)+E(f473(x21381,x21383,x21384),f473(x21382,x21383,x21384)) % 242.40/242.49 [2139]~E(x21391,x21392)+E(f473(x21393,x21391,x21394),f473(x21393,x21392,x21394)) % 242.40/242.49 [2140]~E(x21401,x21402)+E(f473(x21403,x21404,x21401),f473(x21403,x21404,x21402)) % 242.40/242.49 [2141]~E(x21411,x21412)+E(f753(x21411,x21413,x21414,x21415,x21416,x21417,x21418,x21419),f753(x21412,x21413,x21414,x21415,x21416,x21417,x21418,x21419)) % 242.40/242.49 [2142]~E(x21421,x21422)+E(f753(x21423,x21421,x21424,x21425,x21426,x21427,x21428,x21429),f753(x21423,x21422,x21424,x21425,x21426,x21427,x21428,x21429)) % 242.40/242.49 [2143]~E(x21431,x21432)+E(f753(x21433,x21434,x21431,x21435,x21436,x21437,x21438,x21439),f753(x21433,x21434,x21432,x21435,x21436,x21437,x21438,x21439)) % 242.40/242.49 [2144]~E(x21441,x21442)+E(f753(x21443,x21444,x21445,x21441,x21446,x21447,x21448,x21449),f753(x21443,x21444,x21445,x21442,x21446,x21447,x21448,x21449)) % 242.40/242.49 [2145]~E(x21451,x21452)+E(f753(x21453,x21454,x21455,x21456,x21451,x21457,x21458,x21459),f753(x21453,x21454,x21455,x21456,x21452,x21457,x21458,x21459)) % 242.40/242.49 [2146]~E(x21461,x21462)+E(f753(x21463,x21464,x21465,x21466,x21467,x21461,x21468,x21469),f753(x21463,x21464,x21465,x21466,x21467,x21462,x21468,x21469)) % 242.40/242.49 [2147]~E(x21471,x21472)+E(f753(x21473,x21474,x21475,x21476,x21477,x21478,x21471,x21479),f753(x21473,x21474,x21475,x21476,x21477,x21478,x21472,x21479)) % 242.40/242.49 [2148]~E(x21481,x21482)+E(f753(x21483,x21484,x21485,x21486,x21487,x21488,x21489,x21481),f753(x21483,x21484,x21485,x21486,x21487,x21488,x21489,x21482)) % 242.40/242.49 [2149]~E(x21491,x21492)+E(f640(x21491,x21493,x21494,x21495,x21496,x21497,x21498,x21499),f640(x21492,x21493,x21494,x21495,x21496,x21497,x21498,x21499)) % 242.40/242.49 [2150]~E(x21501,x21502)+E(f640(x21503,x21501,x21504,x21505,x21506,x21507,x21508,x21509),f640(x21503,x21502,x21504,x21505,x21506,x21507,x21508,x21509)) % 242.40/242.49 [2151]~E(x21511,x21512)+E(f640(x21513,x21514,x21511,x21515,x21516,x21517,x21518,x21519),f640(x21513,x21514,x21512,x21515,x21516,x21517,x21518,x21519)) % 242.40/242.49 [2152]~E(x21521,x21522)+E(f640(x21523,x21524,x21525,x21521,x21526,x21527,x21528,x21529),f640(x21523,x21524,x21525,x21522,x21526,x21527,x21528,x21529)) % 242.40/242.49 [2153]~E(x21531,x21532)+E(f640(x21533,x21534,x21535,x21536,x21531,x21537,x21538,x21539),f640(x21533,x21534,x21535,x21536,x21532,x21537,x21538,x21539)) % 242.40/242.49 [2154]~E(x21541,x21542)+E(f640(x21543,x21544,x21545,x21546,x21547,x21541,x21548,x21549),f640(x21543,x21544,x21545,x21546,x21547,x21542,x21548,x21549)) % 242.40/242.49 [2155]~E(x21551,x21552)+E(f640(x21553,x21554,x21555,x21556,x21557,x21558,x21551,x21559),f640(x21553,x21554,x21555,x21556,x21557,x21558,x21552,x21559)) % 242.40/242.49 [2156]~E(x21561,x21562)+E(f640(x21563,x21564,x21565,x21566,x21567,x21568,x21569,x21561),f640(x21563,x21564,x21565,x21566,x21567,x21568,x21569,x21562)) % 242.40/242.49 [2157]~E(x21571,x21572)+E(f649(x21571,x21573,x21574),f649(x21572,x21573,x21574)) % 242.40/242.49 [2158]~E(x21581,x21582)+E(f649(x21583,x21581,x21584),f649(x21583,x21582,x21584)) % 242.40/242.49 [2159]~E(x21591,x21592)+E(f649(x21593,x21594,x21591),f649(x21593,x21594,x21592)) % 242.40/242.49 [2160]~E(x21601,x21602)+E(f582(x21601,x21603),f582(x21602,x21603)) % 242.40/242.49 [2161]~E(x21611,x21612)+E(f582(x21613,x21611),f582(x21613,x21612)) % 242.40/242.49 [2162]~E(x21621,x21622)+E(f425(x21621,x21623,x21624,x21625),f425(x21622,x21623,x21624,x21625)) % 242.40/242.49 [2163]~E(x21631,x21632)+E(f425(x21633,x21631,x21634,x21635),f425(x21633,x21632,x21634,x21635)) % 242.40/242.49 [2164]~E(x21641,x21642)+E(f425(x21643,x21644,x21641,x21645),f425(x21643,x21644,x21642,x21645)) % 242.40/242.49 [2165]~E(x21651,x21652)+E(f425(x21653,x21654,x21655,x21651),f425(x21653,x21654,x21655,x21652)) % 242.40/242.49 [2166]~E(x21661,x21662)+E(f149(x21661,x21663),f149(x21662,x21663)) % 242.40/242.49 [2167]~E(x21671,x21672)+E(f149(x21673,x21671),f149(x21673,x21672)) % 242.40/242.49 [2168]~E(x21681,x21682)+E(f663(x21681,x21683,x21684,x21685),f663(x21682,x21683,x21684,x21685)) % 242.40/242.49 [2169]~E(x21691,x21692)+E(f663(x21693,x21691,x21694,x21695),f663(x21693,x21692,x21694,x21695)) % 242.40/242.49 [2170]~E(x21701,x21702)+E(f663(x21703,x21704,x21701,x21705),f663(x21703,x21704,x21702,x21705)) % 242.40/242.49 [2171]~E(x21711,x21712)+E(f663(x21713,x21714,x21715,x21711),f663(x21713,x21714,x21715,x21712)) % 242.40/242.49 [2172]~E(x21721,x21722)+E(f828(x21721,x21723),f828(x21722,x21723)) % 242.40/242.49 [2173]~E(x21731,x21732)+E(f828(x21733,x21731),f828(x21733,x21732)) % 242.40/242.49 [2174]~E(x21741,x21742)+E(f481(x21741,x21743,x21744),f481(x21742,x21743,x21744)) % 242.40/242.49 [2175]~E(x21751,x21752)+E(f481(x21753,x21751,x21754),f481(x21753,x21752,x21754)) % 242.40/242.49 [2176]~E(x21761,x21762)+E(f481(x21763,x21764,x21761),f481(x21763,x21764,x21762)) % 242.40/242.49 [2177]~E(x21771,x21772)+E(f348(x21771,x21773),f348(x21772,x21773)) % 242.40/242.49 [2178]~E(x21781,x21782)+E(f348(x21783,x21781),f348(x21783,x21782)) % 242.40/242.49 [2179]~E(x21791,x21792)+E(f299(x21791,x21793,x21794,x21795),f299(x21792,x21793,x21794,x21795)) % 242.40/242.49 [2180]~E(x21801,x21802)+E(f299(x21803,x21801,x21804,x21805),f299(x21803,x21802,x21804,x21805)) % 242.40/242.49 [2181]~E(x21811,x21812)+E(f299(x21813,x21814,x21811,x21815),f299(x21813,x21814,x21812,x21815)) % 242.40/242.49 [2182]~E(x21821,x21822)+E(f299(x21823,x21824,x21825,x21821),f299(x21823,x21824,x21825,x21822)) % 242.40/242.49 [2183]~E(x21831,x21832)+E(f811(x21831,x21833),f811(x21832,x21833)) % 242.40/242.49 [2184]~E(x21841,x21842)+E(f811(x21843,x21841),f811(x21843,x21842)) % 242.40/242.49 [2185]~E(x21851,x21852)+E(f412(x21851,x21853,x21854,x21855),f412(x21852,x21853,x21854,x21855)) % 242.40/242.49 [2186]~E(x21861,x21862)+E(f412(x21863,x21861,x21864,x21865),f412(x21863,x21862,x21864,x21865)) % 242.40/242.49 [2187]~E(x21871,x21872)+E(f412(x21873,x21874,x21871,x21875),f412(x21873,x21874,x21872,x21875)) % 242.40/242.49 [2188]~E(x21881,x21882)+E(f412(x21883,x21884,x21885,x21881),f412(x21883,x21884,x21885,x21882)) % 242.40/242.49 [2189]~E(x21891,x21892)+E(f858(x21891,x21893,x21894,x21895,x21896,x21897,x21898,x21899),f858(x21892,x21893,x21894,x21895,x21896,x21897,x21898,x21899)) % 242.40/242.49 [2190]~E(x21901,x21902)+E(f858(x21903,x21901,x21904,x21905,x21906,x21907,x21908,x21909),f858(x21903,x21902,x21904,x21905,x21906,x21907,x21908,x21909)) % 242.40/242.49 [2191]~E(x21911,x21912)+E(f858(x21913,x21914,x21911,x21915,x21916,x21917,x21918,x21919),f858(x21913,x21914,x21912,x21915,x21916,x21917,x21918,x21919)) % 242.40/242.49 [2192]~E(x21921,x21922)+E(f858(x21923,x21924,x21925,x21921,x21926,x21927,x21928,x21929),f858(x21923,x21924,x21925,x21922,x21926,x21927,x21928,x21929)) % 242.40/242.49 [2193]~E(x21931,x21932)+E(f858(x21933,x21934,x21935,x21936,x21931,x21937,x21938,x21939),f858(x21933,x21934,x21935,x21936,x21932,x21937,x21938,x21939)) % 242.40/242.49 [2194]~E(x21941,x21942)+E(f858(x21943,x21944,x21945,x21946,x21947,x21941,x21948,x21949),f858(x21943,x21944,x21945,x21946,x21947,x21942,x21948,x21949)) % 242.40/242.49 [2195]~E(x21951,x21952)+E(f858(x21953,x21954,x21955,x21956,x21957,x21958,x21951,x21959),f858(x21953,x21954,x21955,x21956,x21957,x21958,x21952,x21959)) % 242.40/242.49 [2196]~E(x21961,x21962)+E(f858(x21963,x21964,x21965,x21966,x21967,x21968,x21969,x21961),f858(x21963,x21964,x21965,x21966,x21967,x21968,x21969,x21962)) % 242.40/242.49 [2197]~E(x21971,x21972)+E(f694(x21971,x21973,x21974),f694(x21972,x21973,x21974)) % 242.40/242.49 [2198]~E(x21981,x21982)+E(f694(x21983,x21981,x21984),f694(x21983,x21982,x21984)) % 242.40/242.49 [2199]~E(x21991,x21992)+E(f694(x21993,x21994,x21991),f694(x21993,x21994,x21992)) % 242.40/242.49 [2200]~E(x22001,x22002)+E(f417(x22001),f417(x22002)) % 242.40/242.49 [2201]~E(x22011,x22012)+E(f336(x22011),f336(x22012)) % 242.40/242.49 [2202]~E(x22021,x22022)+E(f893(x22021,x22023,x22024),f893(x22022,x22023,x22024)) % 242.40/242.49 [2203]~E(x22031,x22032)+E(f893(x22033,x22031,x22034),f893(x22033,x22032,x22034)) % 242.40/242.49 [2204]~E(x22041,x22042)+E(f893(x22043,x22044,x22041),f893(x22043,x22044,x22042)) % 242.40/242.49 [2205]~E(x22051,x22052)+E(f679(x22051,x22053,x22054),f679(x22052,x22053,x22054)) % 242.40/242.49 [2206]~E(x22061,x22062)+E(f679(x22063,x22061,x22064),f679(x22063,x22062,x22064)) % 242.40/242.49 [2207]~E(x22071,x22072)+E(f679(x22073,x22074,x22071),f679(x22073,x22074,x22072)) % 242.40/242.49 [2208]~E(x22081,x22082)+E(f774(x22081,x22083,x22084),f774(x22082,x22083,x22084)) % 242.40/242.49 [2209]~E(x22091,x22092)+E(f774(x22093,x22091,x22094),f774(x22093,x22092,x22094)) % 242.40/242.49 [2210]~E(x22101,x22102)+E(f774(x22103,x22104,x22101),f774(x22103,x22104,x22102)) % 242.40/242.49 [2211]~E(x22111,x22112)+E(f727(x22111,x22113),f727(x22112,x22113)) % 242.40/242.49 [2212]~E(x22121,x22122)+E(f727(x22123,x22121),f727(x22123,x22122)) % 242.40/242.49 [2213]~E(x22131,x22132)+E(f542(x22131,x22133,x22134,x22135),f542(x22132,x22133,x22134,x22135)) % 242.40/242.49 [2214]~E(x22141,x22142)+E(f542(x22143,x22141,x22144,x22145),f542(x22143,x22142,x22144,x22145)) % 242.40/242.49 [2215]~E(x22151,x22152)+E(f542(x22153,x22154,x22151,x22155),f542(x22153,x22154,x22152,x22155)) % 242.40/242.49 [2216]~E(x22161,x22162)+E(f542(x22163,x22164,x22165,x22161),f542(x22163,x22164,x22165,x22162)) % 242.40/242.49 [2217]~E(x22171,x22172)+E(f627(x22171,x22173,x22174,x22175,x22176),f627(x22172,x22173,x22174,x22175,x22176)) % 242.40/242.49 [2218]~E(x22181,x22182)+E(f627(x22183,x22181,x22184,x22185,x22186),f627(x22183,x22182,x22184,x22185,x22186)) % 242.40/242.49 [2219]~E(x22191,x22192)+E(f627(x22193,x22194,x22191,x22195,x22196),f627(x22193,x22194,x22192,x22195,x22196)) % 242.40/242.49 [2220]~E(x22201,x22202)+E(f627(x22203,x22204,x22205,x22201,x22206),f627(x22203,x22204,x22205,x22202,x22206)) % 242.40/242.49 [2221]~E(x22211,x22212)+E(f627(x22213,x22214,x22215,x22216,x22211),f627(x22213,x22214,x22215,x22216,x22212)) % 242.40/242.49 [2222]~E(x22221,x22222)+E(f781(x22221,x22223,x22224),f781(x22222,x22223,x22224)) % 242.40/242.49 [2223]~E(x22231,x22232)+E(f781(x22233,x22231,x22234),f781(x22233,x22232,x22234)) % 242.40/242.49 [2224]~E(x22241,x22242)+E(f781(x22243,x22244,x22241),f781(x22243,x22244,x22242)) % 242.40/242.49 [2225]~E(x22251,x22252)+E(f376(x22251,x22253,x22254,x22255,x22256),f376(x22252,x22253,x22254,x22255,x22256)) % 242.40/242.49 [2226]~E(x22261,x22262)+E(f376(x22263,x22261,x22264,x22265,x22266),f376(x22263,x22262,x22264,x22265,x22266)) % 242.40/242.49 [2227]~E(x22271,x22272)+E(f376(x22273,x22274,x22271,x22275,x22276),f376(x22273,x22274,x22272,x22275,x22276)) % 242.40/242.49 [2228]~E(x22281,x22282)+E(f376(x22283,x22284,x22285,x22281,x22286),f376(x22283,x22284,x22285,x22282,x22286)) % 242.40/242.49 [2229]~E(x22291,x22292)+E(f376(x22293,x22294,x22295,x22296,x22291),f376(x22293,x22294,x22295,x22296,x22292)) % 242.40/242.49 [2230]~E(x22301,x22302)+E(f420(x22301),f420(x22302)) % 242.40/242.49 [2231]~E(x22311,x22312)+E(f674(x22311,x22313,x22314,x22315,x22316),f674(x22312,x22313,x22314,x22315,x22316)) % 242.40/242.49 [2232]~E(x22321,x22322)+E(f674(x22323,x22321,x22324,x22325,x22326),f674(x22323,x22322,x22324,x22325,x22326)) % 242.40/242.49 [2233]~E(x22331,x22332)+E(f674(x22333,x22334,x22331,x22335,x22336),f674(x22333,x22334,x22332,x22335,x22336)) % 242.40/242.49 [2234]~E(x22341,x22342)+E(f674(x22343,x22344,x22345,x22341,x22346),f674(x22343,x22344,x22345,x22342,x22346)) % 242.40/242.49 [2235]~E(x22351,x22352)+E(f674(x22353,x22354,x22355,x22356,x22351),f674(x22353,x22354,x22355,x22356,x22352)) % 242.40/242.49 [2236]~E(x22361,x22362)+E(f566(x22361,x22363),f566(x22362,x22363)) % 242.40/242.49 [2237]~E(x22371,x22372)+E(f566(x22373,x22371),f566(x22373,x22372)) % 242.40/242.49 [2238]~E(x22381,x22382)+E(f506(x22381,x22383,x22384),f506(x22382,x22383,x22384)) % 242.40/242.49 [2239]~E(x22391,x22392)+E(f506(x22393,x22391,x22394),f506(x22393,x22392,x22394)) % 242.40/242.49 [2240]~E(x22401,x22402)+E(f506(x22403,x22404,x22401),f506(x22403,x22404,x22402)) % 242.40/242.49 [2241]~E(x22411,x22412)+E(f524(x22411,x22413,x22414,x22415,x22416,x22417),f524(x22412,x22413,x22414,x22415,x22416,x22417)) % 242.40/242.49 [2242]~E(x22421,x22422)+E(f524(x22423,x22421,x22424,x22425,x22426,x22427),f524(x22423,x22422,x22424,x22425,x22426,x22427)) % 242.40/242.49 [2243]~E(x22431,x22432)+E(f524(x22433,x22434,x22431,x22435,x22436,x22437),f524(x22433,x22434,x22432,x22435,x22436,x22437)) % 242.40/242.49 [2244]~E(x22441,x22442)+E(f524(x22443,x22444,x22445,x22441,x22446,x22447),f524(x22443,x22444,x22445,x22442,x22446,x22447)) % 242.40/242.49 [2245]~E(x22451,x22452)+E(f524(x22453,x22454,x22455,x22456,x22451,x22457),f524(x22453,x22454,x22455,x22456,x22452,x22457)) % 242.40/242.49 [2246]~E(x22461,x22462)+E(f524(x22463,x22464,x22465,x22466,x22467,x22461),f524(x22463,x22464,x22465,x22466,x22467,x22462)) % 242.40/242.49 [2247]~E(x22471,x22472)+E(f620(x22471,x22473,x22474,x22475,x22476),f620(x22472,x22473,x22474,x22475,x22476)) % 242.40/242.49 [2248]~E(x22481,x22482)+E(f620(x22483,x22481,x22484,x22485,x22486),f620(x22483,x22482,x22484,x22485,x22486)) % 242.40/242.49 [2249]~E(x22491,x22492)+E(f620(x22493,x22494,x22491,x22495,x22496),f620(x22493,x22494,x22492,x22495,x22496)) % 242.40/242.49 [2250]~E(x22501,x22502)+E(f620(x22503,x22504,x22505,x22501,x22506),f620(x22503,x22504,x22505,x22502,x22506)) % 242.40/242.49 [2251]~E(x22511,x22512)+E(f620(x22513,x22514,x22515,x22516,x22511),f620(x22513,x22514,x22515,x22516,x22512)) % 242.40/242.49 [2252]~E(x22521,x22522)+E(f303(x22521,x22523,x22524,x22525,x22526),f303(x22522,x22523,x22524,x22525,x22526)) % 242.40/242.49 [2253]~E(x22531,x22532)+E(f303(x22533,x22531,x22534,x22535,x22536),f303(x22533,x22532,x22534,x22535,x22536)) % 242.40/242.49 [2254]~E(x22541,x22542)+E(f303(x22543,x22544,x22541,x22545,x22546),f303(x22543,x22544,x22542,x22545,x22546)) % 242.40/242.49 [2255]~E(x22551,x22552)+E(f303(x22553,x22554,x22555,x22551,x22556),f303(x22553,x22554,x22555,x22552,x22556)) % 242.40/242.49 [2256]~E(x22561,x22562)+E(f303(x22563,x22564,x22565,x22566,x22561),f303(x22563,x22564,x22565,x22566,x22562)) % 242.40/242.49 [2257]~E(x22571,x22572)+E(f341(x22571,x22573,x22574),f341(x22572,x22573,x22574)) % 242.40/242.49 [2258]~E(x22581,x22582)+E(f341(x22583,x22581,x22584),f341(x22583,x22582,x22584)) % 242.40/242.49 [2259]~E(x22591,x22592)+E(f341(x22593,x22594,x22591),f341(x22593,x22594,x22592)) % 242.40/242.49 [2260]~E(x22601,x22602)+E(f617(x22601,x22603,x22604,x22605),f617(x22602,x22603,x22604,x22605)) % 242.40/242.49 [2261]~E(x22611,x22612)+E(f617(x22613,x22611,x22614,x22615),f617(x22613,x22612,x22614,x22615)) % 242.40/242.49 [2262]~E(x22621,x22622)+E(f617(x22623,x22624,x22621,x22625),f617(x22623,x22624,x22622,x22625)) % 242.40/242.49 [2263]~E(x22631,x22632)+E(f617(x22633,x22634,x22635,x22631),f617(x22633,x22634,x22635,x22632)) % 242.40/242.49 [2264]~E(x22641,x22642)+E(f281(x22641,x22643,x22644,x22645),f281(x22642,x22643,x22644,x22645)) % 242.40/242.49 [2265]~E(x22651,x22652)+E(f281(x22653,x22651,x22654,x22655),f281(x22653,x22652,x22654,x22655)) % 242.40/242.49 [2266]~E(x22661,x22662)+E(f281(x22663,x22664,x22661,x22665),f281(x22663,x22664,x22662,x22665)) % 242.40/242.49 [2267]~E(x22671,x22672)+E(f281(x22673,x22674,x22675,x22671),f281(x22673,x22674,x22675,x22672)) % 242.40/242.49 [2268]~E(x22681,x22682)+E(f493(x22681,x22683,x22684),f493(x22682,x22683,x22684)) % 242.40/242.49 [2269]~E(x22691,x22692)+E(f493(x22693,x22691,x22694),f493(x22693,x22692,x22694)) % 242.40/242.49 [2270]~E(x22701,x22702)+E(f493(x22703,x22704,x22701),f493(x22703,x22704,x22702)) % 242.40/242.49 [2271]~E(x22711,x22712)+E(f296(x22711,x22713,x22714),f296(x22712,x22713,x22714)) % 242.40/242.49 [2272]~E(x22721,x22722)+E(f296(x22723,x22721,x22724),f296(x22723,x22722,x22724)) % 242.40/242.49 [2273]~E(x22731,x22732)+E(f296(x22733,x22734,x22731),f296(x22733,x22734,x22732)) % 242.40/242.49 [2274]~E(x22741,x22742)+E(f302(x22741,x22743,x22744,x22745),f302(x22742,x22743,x22744,x22745)) % 242.40/242.49 [2275]~E(x22751,x22752)+E(f302(x22753,x22751,x22754,x22755),f302(x22753,x22752,x22754,x22755)) % 242.40/242.49 [2276]~E(x22761,x22762)+E(f302(x22763,x22764,x22761,x22765),f302(x22763,x22764,x22762,x22765)) % 242.40/242.49 [2277]~E(x22771,x22772)+E(f302(x22773,x22774,x22775,x22771),f302(x22773,x22774,x22775,x22772)) % 242.40/242.49 [2278]~E(x22781,x22782)+E(f770(x22781,x22783,x22784),f770(x22782,x22783,x22784)) % 242.40/242.49 [2279]~E(x22791,x22792)+E(f770(x22793,x22791,x22794),f770(x22793,x22792,x22794)) % 242.40/242.49 [2280]~E(x22801,x22802)+E(f770(x22803,x22804,x22801),f770(x22803,x22804,x22802)) % 242.40/242.49 [2281]~E(x22811,x22812)+E(f419(x22811,x22813),f419(x22812,x22813)) % 242.40/242.49 [2282]~E(x22821,x22822)+E(f419(x22823,x22821),f419(x22823,x22822)) % 242.40/242.49 [2283]~E(x22831,x22832)+E(f234(x22831,x22833,x22834),f234(x22832,x22833,x22834)) % 242.40/242.49 [2284]~E(x22841,x22842)+E(f234(x22843,x22841,x22844),f234(x22843,x22842,x22844)) % 242.40/242.49 [2285]~E(x22851,x22852)+E(f234(x22853,x22854,x22851),f234(x22853,x22854,x22852)) % 242.40/242.49 [2286]~E(x22861,x22862)+E(f565(x22861),f565(x22862)) % 242.40/242.49 [2287]~E(x22871,x22872)+E(f692(x22871,x22873),f692(x22872,x22873)) % 242.40/242.49 [2288]~E(x22881,x22882)+E(f692(x22883,x22881),f692(x22883,x22882)) % 242.40/242.49 [2289]~E(x22891,x22892)+E(f548(x22891,x22893,x22894,x22895),f548(x22892,x22893,x22894,x22895)) % 242.40/242.49 [2290]~E(x22901,x22902)+E(f548(x22903,x22901,x22904,x22905),f548(x22903,x22902,x22904,x22905)) % 242.40/242.49 [2291]~E(x22911,x22912)+E(f548(x22913,x22914,x22911,x22915),f548(x22913,x22914,x22912,x22915)) % 242.40/242.49 [2292]~E(x22921,x22922)+E(f548(x22923,x22924,x22925,x22921),f548(x22923,x22924,x22925,x22922)) % 242.40/242.49 [2293]~E(x22931,x22932)+E(f683(x22931,x22933,x22934),f683(x22932,x22933,x22934)) % 242.40/242.49 [2294]~E(x22941,x22942)+E(f683(x22943,x22941,x22944),f683(x22943,x22942,x22944)) % 242.40/242.49 [2295]~E(x22951,x22952)+E(f683(x22953,x22954,x22951),f683(x22953,x22954,x22952)) % 242.40/242.49 [2296]~E(x22961,x22962)+E(f689(x22961,x22963,x22964,x22965),f689(x22962,x22963,x22964,x22965)) % 242.40/242.49 [2297]~E(x22971,x22972)+E(f689(x22973,x22971,x22974,x22975),f689(x22973,x22972,x22974,x22975)) % 242.40/242.49 [2298]~E(x22981,x22982)+E(f689(x22983,x22984,x22981,x22985),f689(x22983,x22984,x22982,x22985)) % 242.40/242.49 [2299]~E(x22991,x22992)+E(f689(x22993,x22994,x22995,x22991),f689(x22993,x22994,x22995,x22992)) % 242.40/242.49 [2300]~E(x23001,x23002)+E(f744(x23001,x23003,x23004,x23005),f744(x23002,x23003,x23004,x23005)) % 242.40/242.49 [2301]~E(x23011,x23012)+E(f744(x23013,x23011,x23014,x23015),f744(x23013,x23012,x23014,x23015)) % 242.40/242.49 [2302]~E(x23021,x23022)+E(f744(x23023,x23024,x23021,x23025),f744(x23023,x23024,x23022,x23025)) % 242.40/242.49 [2303]~E(x23031,x23032)+E(f744(x23033,x23034,x23035,x23031),f744(x23033,x23034,x23035,x23032)) % 242.40/242.49 [2304]~E(x23041,x23042)+E(f589(x23041,x23043,x23044,x23045),f589(x23042,x23043,x23044,x23045)) % 242.40/242.49 [2305]~E(x23051,x23052)+E(f589(x23053,x23051,x23054,x23055),f589(x23053,x23052,x23054,x23055)) % 242.40/242.49 [2306]~E(x23061,x23062)+E(f589(x23063,x23064,x23061,x23065),f589(x23063,x23064,x23062,x23065)) % 242.40/242.49 [2307]~E(x23071,x23072)+E(f589(x23073,x23074,x23075,x23071),f589(x23073,x23074,x23075,x23072)) % 242.40/242.49 [2308]~E(x23081,x23082)+E(f546(x23081,x23083),f546(x23082,x23083)) % 242.40/242.49 [2309]~E(x23091,x23092)+E(f546(x23093,x23091),f546(x23093,x23092)) % 242.40/242.49 [2310]~E(x23101,x23102)+E(f917(x23101,x23103,x23104,x23105,x23106),f917(x23102,x23103,x23104,x23105,x23106)) % 242.40/242.49 [2311]~E(x23111,x23112)+E(f917(x23113,x23111,x23114,x23115,x23116),f917(x23113,x23112,x23114,x23115,x23116)) % 242.40/242.49 [2312]~E(x23121,x23122)+E(f917(x23123,x23124,x23121,x23125,x23126),f917(x23123,x23124,x23122,x23125,x23126)) % 242.40/242.49 [2313]~E(x23131,x23132)+E(f917(x23133,x23134,x23135,x23131,x23136),f917(x23133,x23134,x23135,x23132,x23136)) % 242.40/242.49 [2314]~E(x23141,x23142)+E(f917(x23143,x23144,x23145,x23146,x23141),f917(x23143,x23144,x23145,x23146,x23142)) % 242.40/242.49 [2315]~E(x23151,x23152)+E(f840(x23151,x23153,x23154),f840(x23152,x23153,x23154)) % 242.40/242.49 [2316]~E(x23161,x23162)+E(f840(x23163,x23161,x23164),f840(x23163,x23162,x23164)) % 242.40/242.49 [2317]~E(x23171,x23172)+E(f840(x23173,x23174,x23171),f840(x23173,x23174,x23172)) % 242.40/242.49 [2318]~E(x23181,x23182)+E(f691(x23181,x23183,x23184,x23185,x23186),f691(x23182,x23183,x23184,x23185,x23186)) % 242.40/242.49 [2319]~E(x23191,x23192)+E(f691(x23193,x23191,x23194,x23195,x23196),f691(x23193,x23192,x23194,x23195,x23196)) % 242.40/242.49 [2320]~E(x23201,x23202)+E(f691(x23203,x23204,x23201,x23205,x23206),f691(x23203,x23204,x23202,x23205,x23206)) % 242.40/242.49 [2321]~E(x23211,x23212)+E(f691(x23213,x23214,x23215,x23211,x23216),f691(x23213,x23214,x23215,x23212,x23216)) % 242.40/242.49 [2322]~E(x23221,x23222)+E(f691(x23223,x23224,x23225,x23226,x23221),f691(x23223,x23224,x23225,x23226,x23222)) % 242.40/242.49 [2323]~E(x23231,x23232)+E(f553(x23231,x23233,x23234,x23235),f553(x23232,x23233,x23234,x23235)) % 242.40/242.49 [2324]~E(x23241,x23242)+E(f553(x23243,x23241,x23244,x23245),f553(x23243,x23242,x23244,x23245)) % 242.40/242.49 [2325]~E(x23251,x23252)+E(f553(x23253,x23254,x23251,x23255),f553(x23253,x23254,x23252,x23255)) % 242.40/242.49 [2326]~E(x23261,x23262)+E(f553(x23263,x23264,x23265,x23261),f553(x23263,x23264,x23265,x23262)) % 242.40/242.49 [2327]~E(x23271,x23272)+E(f374(x23271,x23273),f374(x23272,x23273)) % 242.40/242.49 [2328]~E(x23281,x23282)+E(f374(x23283,x23281),f374(x23283,x23282)) % 242.40/242.49 [2329]~E(x23291,x23292)+E(f273(x23291,x23293),f273(x23292,x23293)) % 242.40/242.49 [2330]~E(x23301,x23302)+E(f273(x23303,x23301),f273(x23303,x23302)) % 242.40/242.49 [2331]~E(x23311,x23312)+E(f646(x23311,x23313),f646(x23312,x23313)) % 242.40/242.49 [2332]~E(x23321,x23322)+E(f646(x23323,x23321),f646(x23323,x23322)) % 242.40/242.49 [2333]~E(x23331,x23332)+E(f720(x23331,x23333,x23334,x23335,x23336),f720(x23332,x23333,x23334,x23335,x23336)) % 242.40/242.49 [2334]~E(x23341,x23342)+E(f720(x23343,x23341,x23344,x23345,x23346),f720(x23343,x23342,x23344,x23345,x23346)) % 242.40/242.49 [2335]~E(x23351,x23352)+E(f720(x23353,x23354,x23351,x23355,x23356),f720(x23353,x23354,x23352,x23355,x23356)) % 242.40/242.49 [2336]~E(x23361,x23362)+E(f720(x23363,x23364,x23365,x23361,x23366),f720(x23363,x23364,x23365,x23362,x23366)) % 242.40/242.49 [2337]~E(x23371,x23372)+E(f720(x23373,x23374,x23375,x23376,x23371),f720(x23373,x23374,x23375,x23376,x23372)) % 242.40/242.49 [2338]~E(x23381,x23382)+E(f813(x23381,x23383,x23384,x23385,x23386,x23387,x23388),f813(x23382,x23383,x23384,x23385,x23386,x23387,x23388)) % 242.40/242.49 [2339]~E(x23391,x23392)+E(f813(x23393,x23391,x23394,x23395,x23396,x23397,x23398),f813(x23393,x23392,x23394,x23395,x23396,x23397,x23398)) % 242.40/242.49 [2340]~E(x23401,x23402)+E(f813(x23403,x23404,x23401,x23405,x23406,x23407,x23408),f813(x23403,x23404,x23402,x23405,x23406,x23407,x23408)) % 242.40/242.49 [2341]~E(x23411,x23412)+E(f813(x23413,x23414,x23415,x23411,x23416,x23417,x23418),f813(x23413,x23414,x23415,x23412,x23416,x23417,x23418)) % 242.40/242.49 [2342]~E(x23421,x23422)+E(f813(x23423,x23424,x23425,x23426,x23421,x23427,x23428),f813(x23423,x23424,x23425,x23426,x23422,x23427,x23428)) % 242.40/242.49 [2343]~E(x23431,x23432)+E(f813(x23433,x23434,x23435,x23436,x23437,x23431,x23438),f813(x23433,x23434,x23435,x23436,x23437,x23432,x23438)) % 242.40/242.49 [2344]~E(x23441,x23442)+E(f813(x23443,x23444,x23445,x23446,x23447,x23448,x23441),f813(x23443,x23444,x23445,x23446,x23447,x23448,x23442)) % 242.40/242.49 [2345]~E(x23451,x23452)+E(f541(x23451,x23453,x23454,x23455),f541(x23452,x23453,x23454,x23455)) % 242.40/242.49 [2346]~E(x23461,x23462)+E(f541(x23463,x23461,x23464,x23465),f541(x23463,x23462,x23464,x23465)) % 242.40/242.49 [2347]~E(x23471,x23472)+E(f541(x23473,x23474,x23471,x23475),f541(x23473,x23474,x23472,x23475)) % 242.40/242.49 [2348]~E(x23481,x23482)+E(f541(x23483,x23484,x23485,x23481),f541(x23483,x23484,x23485,x23482)) % 242.40/242.49 [2349]~E(x23491,x23492)+E(f278(x23491,x23493,x23494),f278(x23492,x23493,x23494)) % 242.40/242.49 [2350]~E(x23501,x23502)+E(f278(x23503,x23501,x23504),f278(x23503,x23502,x23504)) % 242.40/242.49 [2351]~E(x23511,x23512)+E(f278(x23513,x23514,x23511),f278(x23513,x23514,x23512)) % 242.40/242.49 [2352]~E(x23521,x23522)+E(f841(x23521,x23523,x23524),f841(x23522,x23523,x23524)) % 242.40/242.49 [2353]~E(x23531,x23532)+E(f841(x23533,x23531,x23534),f841(x23533,x23532,x23534)) % 242.40/242.49 [2354]~E(x23541,x23542)+E(f841(x23543,x23544,x23541),f841(x23543,x23544,x23542)) % 242.40/242.49 [2355]~E(x23551,x23552)+E(f568(x23551,x23553,x23554),f568(x23552,x23553,x23554)) % 242.40/242.49 [2356]~E(x23561,x23562)+E(f568(x23563,x23561,x23564),f568(x23563,x23562,x23564)) % 242.40/242.49 [2357]~E(x23571,x23572)+E(f568(x23573,x23574,x23571),f568(x23573,x23574,x23572)) % 242.40/242.49 [2358]~E(x23581,x23582)+E(f448(x23581,x23583,x23584),f448(x23582,x23583,x23584)) % 242.40/242.49 [2359]~E(x23591,x23592)+E(f448(x23593,x23591,x23594),f448(x23593,x23592,x23594)) % 242.40/242.49 [2360]~E(x23601,x23602)+E(f448(x23603,x23604,x23601),f448(x23603,x23604,x23602)) % 242.40/242.49 [2361]~E(x23611,x23612)+E(f896(x23611,x23613,x23614),f896(x23612,x23613,x23614)) % 242.40/242.49 [2362]~E(x23621,x23622)+E(f896(x23623,x23621,x23624),f896(x23623,x23622,x23624)) % 242.40/242.49 [2363]~E(x23631,x23632)+E(f896(x23633,x23634,x23631),f896(x23633,x23634,x23632)) % 242.40/242.49 [2364]~E(x23641,x23642)+E(f786(x23641,x23643,x23644,x23645),f786(x23642,x23643,x23644,x23645)) % 242.40/242.49 [2365]~E(x23651,x23652)+E(f786(x23653,x23651,x23654,x23655),f786(x23653,x23652,x23654,x23655)) % 242.40/242.49 [2366]~E(x23661,x23662)+E(f786(x23663,x23664,x23661,x23665),f786(x23663,x23664,x23662,x23665)) % 242.40/242.49 [2367]~E(x23671,x23672)+E(f786(x23673,x23674,x23675,x23671),f786(x23673,x23674,x23675,x23672)) % 242.40/242.49 [2368]~E(x23681,x23682)+E(f643(x23681,x23683,x23684),f643(x23682,x23683,x23684)) % 242.40/242.49 [2369]~E(x23691,x23692)+E(f643(x23693,x23691,x23694),f643(x23693,x23692,x23694)) % 242.40/242.49 [2370]~E(x23701,x23702)+E(f643(x23703,x23704,x23701),f643(x23703,x23704,x23702)) % 242.40/242.49 [2371]~E(x23711,x23712)+E(f712(x23711,x23713,x23714),f712(x23712,x23713,x23714)) % 242.40/242.49 [2372]~E(x23721,x23722)+E(f712(x23723,x23721,x23724),f712(x23723,x23722,x23724)) % 242.40/242.49 [2373]~E(x23731,x23732)+E(f712(x23733,x23734,x23731),f712(x23733,x23734,x23732)) % 242.40/242.49 [2374]~E(x23741,x23742)+E(f382(x23741),f382(x23742)) % 242.40/242.49 [2375]~E(x23751,x23752)+E(f618(x23751,x23753,x23754,x23755,x23756),f618(x23752,x23753,x23754,x23755,x23756)) % 242.40/242.49 [2376]~E(x23761,x23762)+E(f618(x23763,x23761,x23764,x23765,x23766),f618(x23763,x23762,x23764,x23765,x23766)) % 242.40/242.49 [2377]~E(x23771,x23772)+E(f618(x23773,x23774,x23771,x23775,x23776),f618(x23773,x23774,x23772,x23775,x23776)) % 242.40/242.49 [2378]~E(x23781,x23782)+E(f618(x23783,x23784,x23785,x23781,x23786),f618(x23783,x23784,x23785,x23782,x23786)) % 242.40/242.49 [2379]~E(x23791,x23792)+E(f618(x23793,x23794,x23795,x23796,x23791),f618(x23793,x23794,x23795,x23796,x23792)) % 242.40/242.49 [2380]~E(x23801,x23802)+E(f794(x23801,x23803,x23804,x23805),f794(x23802,x23803,x23804,x23805)) % 242.40/242.49 [2381]~E(x23811,x23812)+E(f794(x23813,x23811,x23814,x23815),f794(x23813,x23812,x23814,x23815)) % 242.40/242.49 [2382]~E(x23821,x23822)+E(f794(x23823,x23824,x23821,x23825),f794(x23823,x23824,x23822,x23825)) % 242.40/242.49 [2383]~E(x23831,x23832)+E(f794(x23833,x23834,x23835,x23831),f794(x23833,x23834,x23835,x23832)) % 242.40/242.49 [2384]~E(x23841,x23842)+E(f890(x23841,x23843,x23844,x23845,x23846),f890(x23842,x23843,x23844,x23845,x23846)) % 242.40/242.49 [2385]~E(x23851,x23852)+E(f890(x23853,x23851,x23854,x23855,x23856),f890(x23853,x23852,x23854,x23855,x23856)) % 242.40/242.49 [2386]~E(x23861,x23862)+E(f890(x23863,x23864,x23861,x23865,x23866),f890(x23863,x23864,x23862,x23865,x23866)) % 242.40/242.49 [2387]~E(x23871,x23872)+E(f890(x23873,x23874,x23875,x23871,x23876),f890(x23873,x23874,x23875,x23872,x23876)) % 242.40/242.49 [2388]~E(x23881,x23882)+E(f890(x23883,x23884,x23885,x23886,x23881),f890(x23883,x23884,x23885,x23886,x23882)) % 242.40/242.49 [2389]~E(x23891,x23892)+E(f97(x23891,x23893,x23894,x23895),f97(x23892,x23893,x23894,x23895)) % 242.40/242.49 [2390]~E(x23901,x23902)+E(f97(x23903,x23901,x23904,x23905),f97(x23903,x23902,x23904,x23905)) % 242.40/242.49 [2391]~E(x23911,x23912)+E(f97(x23913,x23914,x23911,x23915),f97(x23913,x23914,x23912,x23915)) % 242.40/242.49 [2392]~E(x23921,x23922)+E(f97(x23923,x23924,x23925,x23921),f97(x23923,x23924,x23925,x23922)) % 242.40/242.49 [2393]~E(x23931,x23932)+E(f283(x23931,x23933,x23934,x23935),f283(x23932,x23933,x23934,x23935)) % 242.40/242.49 [2394]~E(x23941,x23942)+E(f283(x23943,x23941,x23944,x23945),f283(x23943,x23942,x23944,x23945)) % 242.40/242.49 [2395]~E(x23951,x23952)+E(f283(x23953,x23954,x23951,x23955),f283(x23953,x23954,x23952,x23955)) % 242.40/242.49 [2396]~E(x23961,x23962)+E(f283(x23963,x23964,x23965,x23961),f283(x23963,x23964,x23965,x23962)) % 242.40/242.49 [2397]~E(x23971,x23972)+E(f725(x23971,x23973,x23974),f725(x23972,x23973,x23974)) % 242.40/242.49 [2398]~E(x23981,x23982)+E(f725(x23983,x23981,x23984),f725(x23983,x23982,x23984)) % 242.40/242.49 [2399]~E(x23991,x23992)+E(f725(x23993,x23994,x23991),f725(x23993,x23994,x23992)) % 242.40/242.49 [2400]~E(x24001,x24002)+E(f449(x24001,x24003,x24004,x24005),f449(x24002,x24003,x24004,x24005)) % 242.40/242.49 [2401]~E(x24011,x24012)+E(f449(x24013,x24011,x24014,x24015),f449(x24013,x24012,x24014,x24015)) % 242.40/242.49 [2402]~E(x24021,x24022)+E(f449(x24023,x24024,x24021,x24025),f449(x24023,x24024,x24022,x24025)) % 242.40/242.49 [2403]~E(x24031,x24032)+E(f449(x24033,x24034,x24035,x24031),f449(x24033,x24034,x24035,x24032)) % 242.40/242.49 [2404]~E(x24041,x24042)+E(f98(x24041,x24043,x24044,x24045),f98(x24042,x24043,x24044,x24045)) % 242.40/242.49 [2405]~E(x24051,x24052)+E(f98(x24053,x24051,x24054,x24055),f98(x24053,x24052,x24054,x24055)) % 242.40/242.49 [2406]~E(x24061,x24062)+E(f98(x24063,x24064,x24061,x24065),f98(x24063,x24064,x24062,x24065)) % 242.40/242.49 [2407]~E(x24071,x24072)+E(f98(x24073,x24074,x24075,x24071),f98(x24073,x24074,x24075,x24072)) % 242.40/242.49 [2408]~E(x24081,x24082)+E(f622(x24081,x24083,x24084,x24085,x24086,x24087,x24088),f622(x24082,x24083,x24084,x24085,x24086,x24087,x24088)) % 242.40/242.49 [2409]~E(x24091,x24092)+E(f622(x24093,x24091,x24094,x24095,x24096,x24097,x24098),f622(x24093,x24092,x24094,x24095,x24096,x24097,x24098)) % 242.40/242.49 [2410]~E(x24101,x24102)+E(f622(x24103,x24104,x24101,x24105,x24106,x24107,x24108),f622(x24103,x24104,x24102,x24105,x24106,x24107,x24108)) % 242.40/242.49 [2411]~E(x24111,x24112)+E(f622(x24113,x24114,x24115,x24111,x24116,x24117,x24118),f622(x24113,x24114,x24115,x24112,x24116,x24117,x24118)) % 242.40/242.49 [2412]~E(x24121,x24122)+E(f622(x24123,x24124,x24125,x24126,x24121,x24127,x24128),f622(x24123,x24124,x24125,x24126,x24122,x24127,x24128)) % 242.40/242.49 [2413]~E(x24131,x24132)+E(f622(x24133,x24134,x24135,x24136,x24137,x24131,x24138),f622(x24133,x24134,x24135,x24136,x24137,x24132,x24138)) % 242.40/242.49 [2414]~E(x24141,x24142)+E(f622(x24143,x24144,x24145,x24146,x24147,x24148,x24141),f622(x24143,x24144,x24145,x24146,x24147,x24148,x24142)) % 242.40/242.49 [2415]~E(x24151,x24152)+E(f783(x24151,x24153,x24154),f783(x24152,x24153,x24154)) % 242.40/242.49 [2416]~E(x24161,x24162)+E(f783(x24163,x24161,x24164),f783(x24163,x24162,x24164)) % 242.40/242.49 [2417]~E(x24171,x24172)+E(f783(x24173,x24174,x24171),f783(x24173,x24174,x24172)) % 242.40/242.49 [2418]~E(x24181,x24182)+E(f351(x24181,x24183,x24184),f351(x24182,x24183,x24184)) % 242.40/242.49 [2419]~E(x24191,x24192)+E(f351(x24193,x24191,x24194),f351(x24193,x24192,x24194)) % 242.40/242.49 [2420]~E(x24201,x24202)+E(f351(x24203,x24204,x24201),f351(x24203,x24204,x24202)) % 242.40/242.49 [2421]~E(x24211,x24212)+E(f556(x24211,x24213,x24214),f556(x24212,x24213,x24214)) % 242.40/242.49 [2422]~E(x24221,x24222)+E(f556(x24223,x24221,x24224),f556(x24223,x24222,x24224)) % 242.40/242.49 [2423]~E(x24231,x24232)+E(f556(x24233,x24234,x24231),f556(x24233,x24234,x24232)) % 242.40/242.49 [2424]~E(x24241,x24242)+E(f349(x24241,x24243,x24244),f349(x24242,x24243,x24244)) % 242.40/242.49 [2425]~E(x24251,x24252)+E(f349(x24253,x24251,x24254),f349(x24253,x24252,x24254)) % 242.40/242.49 [2426]~E(x24261,x24262)+E(f349(x24263,x24264,x24261),f349(x24263,x24264,x24262)) % 242.40/242.49 [2427]~E(x24271,x24272)+E(f474(x24271,x24273,x24274),f474(x24272,x24273,x24274)) % 242.40/242.49 [2428]~E(x24281,x24282)+E(f474(x24283,x24281,x24284),f474(x24283,x24282,x24284)) % 242.40/242.49 [2429]~E(x24291,x24292)+E(f474(x24293,x24294,x24291),f474(x24293,x24294,x24292)) % 242.40/242.49 [2430]~E(x24301,x24302)+E(f815(x24301,x24303),f815(x24302,x24303)) % 242.40/242.49 [2431]~E(x24311,x24312)+E(f815(x24313,x24311),f815(x24313,x24312)) % 242.40/242.49 [2432]~E(x24321,x24322)+E(f482(x24321,x24323,x24324),f482(x24322,x24323,x24324)) % 242.40/242.49 [2433]~E(x24331,x24332)+E(f482(x24333,x24331,x24334),f482(x24333,x24332,x24334)) % 242.40/242.49 [2434]~E(x24341,x24342)+E(f482(x24343,x24344,x24341),f482(x24343,x24344,x24342)) % 242.40/242.49 [2435]~E(x24351,x24352)+E(f226(x24351,x24353,x24354),f226(x24352,x24353,x24354)) % 242.40/242.49 [2436]~E(x24361,x24362)+E(f226(x24363,x24361,x24364),f226(x24363,x24362,x24364)) % 242.40/242.49 [2437]~E(x24371,x24372)+E(f226(x24373,x24374,x24371),f226(x24373,x24374,x24372)) % 242.40/242.49 [2438]~E(x24381,x24382)+E(f777(x24381,x24383,x24384),f777(x24382,x24383,x24384)) % 242.40/242.49 [2439]~E(x24391,x24392)+E(f777(x24393,x24391,x24394),f777(x24393,x24392,x24394)) % 242.40/242.49 [2440]~E(x24401,x24402)+E(f777(x24403,x24404,x24401),f777(x24403,x24404,x24402)) % 242.40/242.49 [2441]~E(x24411,x24412)+E(f233(x24411,x24413,x24414,x24415),f233(x24412,x24413,x24414,x24415)) % 242.40/242.49 [2442]~E(x24421,x24422)+E(f233(x24423,x24421,x24424,x24425),f233(x24423,x24422,x24424,x24425)) % 242.40/242.49 [2443]~E(x24431,x24432)+E(f233(x24433,x24434,x24431,x24435),f233(x24433,x24434,x24432,x24435)) % 242.40/242.49 [2444]~E(x24441,x24442)+E(f233(x24443,x24444,x24445,x24441),f233(x24443,x24444,x24445,x24442)) % 242.40/242.49 [2445]~E(x24451,x24452)+E(f837(x24451,x24453),f837(x24452,x24453)) % 242.40/242.49 [2446]~E(x24461,x24462)+E(f837(x24463,x24461),f837(x24463,x24462)) % 242.40/242.49 [2447]~E(x24471,x24472)+E(f852(x24471,x24473,x24474),f852(x24472,x24473,x24474)) % 242.40/242.49 [2448]~E(x24481,x24482)+E(f852(x24483,x24481,x24484),f852(x24483,x24482,x24484)) % 242.40/242.49 [2449]~E(x24491,x24492)+E(f852(x24493,x24494,x24491),f852(x24493,x24494,x24492)) % 242.40/242.49 [2450]~E(x24501,x24502)+E(f822(x24501,x24503,x24504,x24505),f822(x24502,x24503,x24504,x24505)) % 242.40/242.49 [2451]~E(x24511,x24512)+E(f822(x24513,x24511,x24514,x24515),f822(x24513,x24512,x24514,x24515)) % 242.40/242.49 [2452]~E(x24521,x24522)+E(f822(x24523,x24524,x24521,x24525),f822(x24523,x24524,x24522,x24525)) % 242.40/242.49 [2453]~E(x24531,x24532)+E(f822(x24533,x24534,x24535,x24531),f822(x24533,x24534,x24535,x24532)) % 242.40/242.49 [2454]~E(x24541,x24542)+E(f717(x24541,x24543),f717(x24542,x24543)) % 242.40/242.49 [2455]~E(x24551,x24552)+E(f717(x24553,x24551),f717(x24553,x24552)) % 242.40/242.49 [2456]~E(x24561,x24562)+E(f507(x24561,x24563,x24564),f507(x24562,x24563,x24564)) % 242.40/242.49 [2457]~E(x24571,x24572)+E(f507(x24573,x24571,x24574),f507(x24573,x24572,x24574)) % 242.40/242.49 [2458]~E(x24581,x24582)+E(f507(x24583,x24584,x24581),f507(x24583,x24584,x24582)) % 242.40/242.49 [2459]~E(x24591,x24592)+E(f714(x24591,x24593,x24594,x24595,x24596),f714(x24592,x24593,x24594,x24595,x24596)) % 242.40/242.49 [2460]~E(x24601,x24602)+E(f714(x24603,x24601,x24604,x24605,x24606),f714(x24603,x24602,x24604,x24605,x24606)) % 242.40/242.49 [2461]~E(x24611,x24612)+E(f714(x24613,x24614,x24611,x24615,x24616),f714(x24613,x24614,x24612,x24615,x24616)) % 242.40/242.49 [2462]~E(x24621,x24622)+E(f714(x24623,x24624,x24625,x24621,x24626),f714(x24623,x24624,x24625,x24622,x24626)) % 242.40/242.49 [2463]~E(x24631,x24632)+E(f714(x24633,x24634,x24635,x24636,x24631),f714(x24633,x24634,x24635,x24636,x24632)) % 242.40/242.49 [2464]~E(x24641,x24642)+E(f523(x24641,x24643,x24644,x24645),f523(x24642,x24643,x24644,x24645)) % 242.40/242.49 [2465]~E(x24651,x24652)+E(f523(x24653,x24651,x24654,x24655),f523(x24653,x24652,x24654,x24655)) % 242.40/242.49 [2466]~E(x24661,x24662)+E(f523(x24663,x24664,x24661,x24665),f523(x24663,x24664,x24662,x24665)) % 242.40/242.49 [2467]~E(x24671,x24672)+E(f523(x24673,x24674,x24675,x24671),f523(x24673,x24674,x24675,x24672)) % 242.40/242.49 [2468]~E(x24681,x24682)+E(f891(x24681,x24683,x24684,x24685,x24686,x24687),f891(x24682,x24683,x24684,x24685,x24686,x24687)) % 242.40/242.49 [2469]~E(x24691,x24692)+E(f891(x24693,x24691,x24694,x24695,x24696,x24697),f891(x24693,x24692,x24694,x24695,x24696,x24697)) % 242.40/242.49 [2470]~E(x24701,x24702)+E(f891(x24703,x24704,x24701,x24705,x24706,x24707),f891(x24703,x24704,x24702,x24705,x24706,x24707)) % 242.40/242.49 [2471]~E(x24711,x24712)+E(f891(x24713,x24714,x24715,x24711,x24716,x24717),f891(x24713,x24714,x24715,x24712,x24716,x24717)) % 242.40/242.49 [2472]~E(x24721,x24722)+E(f891(x24723,x24724,x24725,x24726,x24721,x24727),f891(x24723,x24724,x24725,x24726,x24722,x24727)) % 242.40/242.49 [2473]~E(x24731,x24732)+E(f891(x24733,x24734,x24735,x24736,x24737,x24731),f891(x24733,x24734,x24735,x24736,x24737,x24732)) % 242.40/242.49 [2474]~E(x24741,x24742)+E(f354(x24741,x24743,x24744),f354(x24742,x24743,x24744)) % 242.40/242.49 [2475]~E(x24751,x24752)+E(f354(x24753,x24751,x24754),f354(x24753,x24752,x24754)) % 242.40/242.49 [2476]~E(x24761,x24762)+E(f354(x24763,x24764,x24761),f354(x24763,x24764,x24762)) % 242.40/242.49 [2477]~E(x24771,x24772)+E(f906(x24771,x24773),f906(x24772,x24773)) % 242.40/242.49 [2478]~E(x24781,x24782)+E(f906(x24783,x24781),f906(x24783,x24782)) % 242.40/242.49 [2479]~E(x24791,x24792)+E(f459(x24791,x24793,x24794,x24795),f459(x24792,x24793,x24794,x24795)) % 242.40/242.49 [2480]~E(x24801,x24802)+E(f459(x24803,x24801,x24804,x24805),f459(x24803,x24802,x24804,x24805)) % 242.40/242.49 [2481]~E(x24811,x24812)+E(f459(x24813,x24814,x24811,x24815),f459(x24813,x24814,x24812,x24815)) % 242.40/242.49 [2482]~E(x24821,x24822)+E(f459(x24823,x24824,x24825,x24821),f459(x24823,x24824,x24825,x24822)) % 242.40/242.49 [2483]~E(x24831,x24832)+E(f605(x24831,x24833,x24834,x24835,x24836),f605(x24832,x24833,x24834,x24835,x24836)) % 242.40/242.49 [2484]~E(x24841,x24842)+E(f605(x24843,x24841,x24844,x24845,x24846),f605(x24843,x24842,x24844,x24845,x24846)) % 242.40/242.49 [2485]~E(x24851,x24852)+E(f605(x24853,x24854,x24851,x24855,x24856),f605(x24853,x24854,x24852,x24855,x24856)) % 242.40/242.49 [2486]~E(x24861,x24862)+E(f605(x24863,x24864,x24865,x24861,x24866),f605(x24863,x24864,x24865,x24862,x24866)) % 242.40/242.49 [2487]~E(x24871,x24872)+E(f605(x24873,x24874,x24875,x24876,x24871),f605(x24873,x24874,x24875,x24876,x24872)) % 242.40/242.49 [2488]~E(x24881,x24882)+E(f596(x24881,x24883,x24884,x24885,x24886),f596(x24882,x24883,x24884,x24885,x24886)) % 242.40/242.49 [2489]~E(x24891,x24892)+E(f596(x24893,x24891,x24894,x24895,x24896),f596(x24893,x24892,x24894,x24895,x24896)) % 242.40/242.49 [2490]~E(x24901,x24902)+E(f596(x24903,x24904,x24901,x24905,x24906),f596(x24903,x24904,x24902,x24905,x24906)) % 242.40/242.49 [2491]~E(x24911,x24912)+E(f596(x24913,x24914,x24915,x24911,x24916),f596(x24913,x24914,x24915,x24912,x24916)) % 242.40/242.49 [2492]~E(x24921,x24922)+E(f596(x24923,x24924,x24925,x24926,x24921),f596(x24923,x24924,x24925,x24926,x24922)) % 242.40/242.49 [2493]~E(x24931,x24932)+E(f816(x24931,x24933),f816(x24932,x24933)) % 242.40/242.49 [2494]~E(x24941,x24942)+E(f816(x24943,x24941),f816(x24943,x24942)) % 242.40/242.49 [2495]~E(x24951,x24952)+E(f199(x24951,x24953,x24954,x24955),f199(x24952,x24953,x24954,x24955)) % 242.40/242.49 [2496]~E(x24961,x24962)+E(f199(x24963,x24961,x24964,x24965),f199(x24963,x24962,x24964,x24965)) % 242.40/242.49 [2497]~E(x24971,x24972)+E(f199(x24973,x24974,x24971,x24975),f199(x24973,x24974,x24972,x24975)) % 242.40/242.49 [2498]~E(x24981,x24982)+E(f199(x24983,x24984,x24985,x24981),f199(x24983,x24984,x24985,x24982)) % 242.40/242.49 [2499]~E(x24991,x24992)+E(f424(x24991,x24993,x24994),f424(x24992,x24993,x24994)) % 242.40/242.49 [2500]~E(x25001,x25002)+E(f424(x25003,x25001,x25004),f424(x25003,x25002,x25004)) % 242.40/242.49 [2501]~E(x25011,x25012)+E(f424(x25013,x25014,x25011),f424(x25013,x25014,x25012)) % 242.40/242.49 [2502]~E(x25021,x25022)+E(f585(x25021,x25023,x25024),f585(x25022,x25023,x25024)) % 242.40/242.49 [2503]~E(x25031,x25032)+E(f585(x25033,x25031,x25034),f585(x25033,x25032,x25034)) % 242.40/242.49 [2504]~E(x25041,x25042)+E(f585(x25043,x25044,x25041),f585(x25043,x25044,x25042)) % 242.40/242.49 [2505]~E(x25051,x25052)+E(f680(x25051,x25053,x25054),f680(x25052,x25053,x25054)) % 242.40/242.49 [2506]~E(x25061,x25062)+E(f680(x25063,x25061,x25064),f680(x25063,x25062,x25064)) % 242.40/242.49 [2507]~E(x25071,x25072)+E(f680(x25073,x25074,x25071),f680(x25073,x25074,x25072)) % 242.40/242.49 [2508]~E(x25081,x25082)+E(f636(x25081,x25083),f636(x25082,x25083)) % 242.40/242.49 [2509]~E(x25091,x25092)+E(f636(x25093,x25091),f636(x25093,x25092)) % 242.40/242.49 [2510]~E(x25101,x25102)+E(f713(x25101,x25103,x25104),f713(x25102,x25103,x25104)) % 242.40/242.49 [2511]~E(x25111,x25112)+E(f713(x25113,x25111,x25114),f713(x25113,x25112,x25114)) % 242.40/242.49 [2512]~E(x25121,x25122)+E(f713(x25123,x25124,x25121),f713(x25123,x25124,x25122)) % 242.40/242.49 [2513]~E(x25131,x25132)+E(f736(x25131,x25133,x25134,x25135,x25136,x25137,x25138,x25139),f736(x25132,x25133,x25134,x25135,x25136,x25137,x25138,x25139)) % 242.40/242.49 [2514]~E(x25141,x25142)+E(f736(x25143,x25141,x25144,x25145,x25146,x25147,x25148,x25149),f736(x25143,x25142,x25144,x25145,x25146,x25147,x25148,x25149)) % 242.40/242.49 [2515]~E(x25151,x25152)+E(f736(x25153,x25154,x25151,x25155,x25156,x25157,x25158,x25159),f736(x25153,x25154,x25152,x25155,x25156,x25157,x25158,x25159)) % 242.40/242.49 [2516]~E(x25161,x25162)+E(f736(x25163,x25164,x25165,x25161,x25166,x25167,x25168,x25169),f736(x25163,x25164,x25165,x25162,x25166,x25167,x25168,x25169)) % 242.40/242.49 [2517]~E(x25171,x25172)+E(f736(x25173,x25174,x25175,x25176,x25171,x25177,x25178,x25179),f736(x25173,x25174,x25175,x25176,x25172,x25177,x25178,x25179)) % 242.40/242.49 [2518]~E(x25181,x25182)+E(f736(x25183,x25184,x25185,x25186,x25187,x25181,x25188,x25189),f736(x25183,x25184,x25185,x25186,x25187,x25182,x25188,x25189)) % 242.40/242.49 [2519]~E(x25191,x25192)+E(f736(x25193,x25194,x25195,x25196,x25197,x25198,x25191,x25199),f736(x25193,x25194,x25195,x25196,x25197,x25198,x25192,x25199)) % 242.40/242.49 [2520]~E(x25201,x25202)+E(f736(x25203,x25204,x25205,x25206,x25207,x25208,x25209,x25201),f736(x25203,x25204,x25205,x25206,x25207,x25208,x25209,x25202)) % 242.40/242.49 [2521]~E(x25211,x25212)+E(f539(x25211,x25213,x25214,x25215),f539(x25212,x25213,x25214,x25215)) % 242.40/242.49 [2522]~E(x25221,x25222)+E(f539(x25223,x25221,x25224,x25225),f539(x25223,x25222,x25224,x25225)) % 242.40/242.49 [2523]~E(x25231,x25232)+E(f539(x25233,x25234,x25231,x25235),f539(x25233,x25234,x25232,x25235)) % 242.40/242.49 [2524]~E(x25241,x25242)+E(f539(x25243,x25244,x25245,x25241),f539(x25243,x25244,x25245,x25242)) % 242.40/242.49 [2525]~E(x25251,x25252)+E(f406(x25251,x25253,x25254,x25255),f406(x25252,x25253,x25254,x25255)) % 242.40/242.49 [2526]~E(x25261,x25262)+E(f406(x25263,x25261,x25264,x25265),f406(x25263,x25262,x25264,x25265)) % 242.40/242.49 [2527]~E(x25271,x25272)+E(f406(x25273,x25274,x25271,x25275),f406(x25273,x25274,x25272,x25275)) % 242.40/242.49 [2528]~E(x25281,x25282)+E(f406(x25283,x25284,x25285,x25281),f406(x25283,x25284,x25285,x25282)) % 242.40/242.49 [2529]~E(x25291,x25292)+E(f125(x25291,x25293,x25294,x25295),f125(x25292,x25293,x25294,x25295)) % 242.40/242.49 [2530]~E(x25301,x25302)+E(f125(x25303,x25301,x25304,x25305),f125(x25303,x25302,x25304,x25305)) % 242.40/242.49 [2531]~E(x25311,x25312)+E(f125(x25313,x25314,x25311,x25315),f125(x25313,x25314,x25312,x25315)) % 242.40/242.49 [2532]~E(x25321,x25322)+E(f125(x25323,x25324,x25325,x25321),f125(x25323,x25324,x25325,x25322)) % 242.40/242.49 [2533]~E(x25331,x25332)+E(f346(x25331,x25333),f346(x25332,x25333)) % 242.40/242.49 [2534]~E(x25341,x25342)+E(f346(x25343,x25341),f346(x25343,x25342)) % 242.40/242.49 [2535]~E(x25351,x25352)+E(f397(x25351,x25353,x25354,x25355),f397(x25352,x25353,x25354,x25355)) % 242.40/242.49 [2536]~E(x25361,x25362)+E(f397(x25363,x25361,x25364,x25365),f397(x25363,x25362,x25364,x25365)) % 242.40/242.49 [2537]~E(x25371,x25372)+E(f397(x25373,x25374,x25371,x25375),f397(x25373,x25374,x25372,x25375)) % 242.40/242.49 [2538]~E(x25381,x25382)+E(f397(x25383,x25384,x25385,x25381),f397(x25383,x25384,x25385,x25382)) % 242.40/242.49 [2539]~E(x25391,x25392)+E(f209(x25391,x25393,x25394,x25395),f209(x25392,x25393,x25394,x25395)) % 242.40/242.49 [2540]~E(x25401,x25402)+E(f209(x25403,x25401,x25404,x25405),f209(x25403,x25402,x25404,x25405)) % 242.40/242.49 [2541]~E(x25411,x25412)+E(f209(x25413,x25414,x25411,x25415),f209(x25413,x25414,x25412,x25415)) % 242.40/242.49 [2542]~E(x25421,x25422)+E(f209(x25423,x25424,x25425,x25421),f209(x25423,x25424,x25425,x25422)) % 242.40/242.49 [2543]~E(x25431,x25432)+E(f624(x25431,x25433,x25434,x25435,x25436),f624(x25432,x25433,x25434,x25435,x25436)) % 242.40/242.49 [2544]~E(x25441,x25442)+E(f624(x25443,x25441,x25444,x25445,x25446),f624(x25443,x25442,x25444,x25445,x25446)) % 242.40/242.49 [2545]~E(x25451,x25452)+E(f624(x25453,x25454,x25451,x25455,x25456),f624(x25453,x25454,x25452,x25455,x25456)) % 242.40/242.49 [2546]~E(x25461,x25462)+E(f624(x25463,x25464,x25465,x25461,x25466),f624(x25463,x25464,x25465,x25462,x25466)) % 242.40/242.49 [2547]~E(x25471,x25472)+E(f624(x25473,x25474,x25475,x25476,x25471),f624(x25473,x25474,x25475,x25476,x25472)) % 242.40/242.49 [2548]~E(x25481,x25482)+E(f748(x25481,x25483),f748(x25482,x25483)) % 242.40/242.49 [2549]~E(x25491,x25492)+E(f748(x25493,x25491),f748(x25493,x25492)) % 242.40/242.49 [2550]~E(x25501,x25502)+E(f769(x25501,x25503),f769(x25502,x25503)) % 242.40/242.49 [2551]~E(x25511,x25512)+E(f769(x25513,x25511),f769(x25513,x25512)) % 242.40/242.49 [2552]~E(x25521,x25522)+E(f334(x25521,x25523,x25524,x25525),f334(x25522,x25523,x25524,x25525)) % 242.40/242.49 [2553]~E(x25531,x25532)+E(f334(x25533,x25531,x25534,x25535),f334(x25533,x25532,x25534,x25535)) % 242.40/242.49 [2554]~E(x25541,x25542)+E(f334(x25543,x25544,x25541,x25545),f334(x25543,x25544,x25542,x25545)) % 242.40/242.49 [2555]~E(x25551,x25552)+E(f334(x25553,x25554,x25555,x25551),f334(x25553,x25554,x25555,x25552)) % 242.40/242.49 [2556]~E(x25561,x25562)+E(f835(x25561,x25563,x25564,x25565,x25566,x25567),f835(x25562,x25563,x25564,x25565,x25566,x25567)) % 242.40/242.49 [2557]~E(x25571,x25572)+E(f835(x25573,x25571,x25574,x25575,x25576,x25577),f835(x25573,x25572,x25574,x25575,x25576,x25577)) % 242.40/242.49 [2558]~E(x25581,x25582)+E(f835(x25583,x25584,x25581,x25585,x25586,x25587),f835(x25583,x25584,x25582,x25585,x25586,x25587)) % 242.40/242.49 [2559]~E(x25591,x25592)+E(f835(x25593,x25594,x25595,x25591,x25596,x25597),f835(x25593,x25594,x25595,x25592,x25596,x25597)) % 242.40/242.49 [2560]~E(x25601,x25602)+E(f835(x25603,x25604,x25605,x25606,x25601,x25607),f835(x25603,x25604,x25605,x25606,x25602,x25607)) % 242.40/242.49 [2561]~E(x25611,x25612)+E(f835(x25613,x25614,x25615,x25616,x25617,x25611),f835(x25613,x25614,x25615,x25616,x25617,x25612)) % 242.40/242.49 [2562]~E(x25621,x25622)+E(f579(x25621,x25623,x25624,x25625,x25626,x25627),f579(x25622,x25623,x25624,x25625,x25626,x25627)) % 242.40/242.49 [2563]~E(x25631,x25632)+E(f579(x25633,x25631,x25634,x25635,x25636,x25637),f579(x25633,x25632,x25634,x25635,x25636,x25637)) % 242.40/242.49 [2564]~E(x25641,x25642)+E(f579(x25643,x25644,x25641,x25645,x25646,x25647),f579(x25643,x25644,x25642,x25645,x25646,x25647)) % 242.40/242.49 [2565]~E(x25651,x25652)+E(f579(x25653,x25654,x25655,x25651,x25656,x25657),f579(x25653,x25654,x25655,x25652,x25656,x25657)) % 242.40/242.49 [2566]~E(x25661,x25662)+E(f579(x25663,x25664,x25665,x25666,x25661,x25667),f579(x25663,x25664,x25665,x25666,x25662,x25667)) % 242.40/242.49 [2567]~E(x25671,x25672)+E(f579(x25673,x25674,x25675,x25676,x25677,x25671),f579(x25673,x25674,x25675,x25676,x25677,x25672)) % 242.40/242.49 [2568]~E(x25681,x25682)+E(f264(x25681,x25683,x25684,x25685,x25686),f264(x25682,x25683,x25684,x25685,x25686)) % 242.40/242.49 [2569]~E(x25691,x25692)+E(f264(x25693,x25691,x25694,x25695,x25696),f264(x25693,x25692,x25694,x25695,x25696)) % 242.40/242.49 [2570]~E(x25701,x25702)+E(f264(x25703,x25704,x25701,x25705,x25706),f264(x25703,x25704,x25702,x25705,x25706)) % 242.40/242.49 [2571]~E(x25711,x25712)+E(f264(x25713,x25714,x25715,x25711,x25716),f264(x25713,x25714,x25715,x25712,x25716)) % 242.40/242.49 [2572]~E(x25721,x25722)+E(f264(x25723,x25724,x25725,x25726,x25721),f264(x25723,x25724,x25725,x25726,x25722)) % 242.40/242.49 [2573]~E(x25731,x25732)+E(f613(x25731,x25733,x25734,x25735,x25736),f613(x25732,x25733,x25734,x25735,x25736)) % 242.40/242.49 [2574]~E(x25741,x25742)+E(f613(x25743,x25741,x25744,x25745,x25746),f613(x25743,x25742,x25744,x25745,x25746)) % 242.40/242.49 [2575]~E(x25751,x25752)+E(f613(x25753,x25754,x25751,x25755,x25756),f613(x25753,x25754,x25752,x25755,x25756)) % 242.40/242.49 [2576]~E(x25761,x25762)+E(f613(x25763,x25764,x25765,x25761,x25766),f613(x25763,x25764,x25765,x25762,x25766)) % 242.40/242.49 [2577]~E(x25771,x25772)+E(f613(x25773,x25774,x25775,x25776,x25771),f613(x25773,x25774,x25775,x25776,x25772)) % 242.40/242.49 [2578]~E(x25781,x25782)+E(f19(x25781,x25783,x25784,x25785),f19(x25782,x25783,x25784,x25785)) % 242.40/242.49 [2579]~E(x25791,x25792)+E(f19(x25793,x25791,x25794,x25795),f19(x25793,x25792,x25794,x25795)) % 242.40/242.49 [2580]~E(x25801,x25802)+E(f19(x25803,x25804,x25801,x25805),f19(x25803,x25804,x25802,x25805)) % 242.40/242.49 [2581]~E(x25811,x25812)+E(f19(x25813,x25814,x25815,x25811),f19(x25813,x25814,x25815,x25812)) % 242.40/242.49 [2582]~E(x25821,x25822)+E(f44(x25821),f44(x25822)) % 242.40/242.49 [2583]~E(x25831,x25832)+E(f478(x25831,x25833),f478(x25832,x25833)) % 242.40/242.49 [2584]~E(x25841,x25842)+E(f478(x25843,x25841),f478(x25843,x25842)) % 242.40/242.49 [2585]~E(x25851,x25852)+E(f887(x25851,x25853),f887(x25852,x25853)) % 242.40/242.49 [2586]~E(x25861,x25862)+E(f887(x25863,x25861),f887(x25863,x25862)) % 242.40/242.49 [2587]~E(x25871,x25872)+E(f615(x25871,x25873,x25874,x25875,x25876),f615(x25872,x25873,x25874,x25875,x25876)) % 242.40/242.49 [2588]~E(x25881,x25882)+E(f615(x25883,x25881,x25884,x25885,x25886),f615(x25883,x25882,x25884,x25885,x25886)) % 242.40/242.49 [2589]~E(x25891,x25892)+E(f615(x25893,x25894,x25891,x25895,x25896),f615(x25893,x25894,x25892,x25895,x25896)) % 242.40/242.49 [2590]~E(x25901,x25902)+E(f615(x25903,x25904,x25905,x25901,x25906),f615(x25903,x25904,x25905,x25902,x25906)) % 242.40/242.49 [2591]~E(x25911,x25912)+E(f615(x25913,x25914,x25915,x25916,x25911),f615(x25913,x25914,x25915,x25916,x25912)) % 242.40/242.49 [2592]~E(x25921,x25922)+E(f577(x25921,x25923,x25924,x25925,x25926,x25927),f577(x25922,x25923,x25924,x25925,x25926,x25927)) % 242.40/242.49 [2593]~E(x25931,x25932)+E(f577(x25933,x25931,x25934,x25935,x25936,x25937),f577(x25933,x25932,x25934,x25935,x25936,x25937)) % 242.40/242.49 [2594]~E(x25941,x25942)+E(f577(x25943,x25944,x25941,x25945,x25946,x25947),f577(x25943,x25944,x25942,x25945,x25946,x25947)) % 242.40/242.49 [2595]~E(x25951,x25952)+E(f577(x25953,x25954,x25955,x25951,x25956,x25957),f577(x25953,x25954,x25955,x25952,x25956,x25957)) % 242.40/242.49 [2596]~E(x25961,x25962)+E(f577(x25963,x25964,x25965,x25966,x25961,x25967),f577(x25963,x25964,x25965,x25966,x25962,x25967)) % 242.40/242.49 [2597]~E(x25971,x25972)+E(f577(x25973,x25974,x25975,x25976,x25977,x25971),f577(x25973,x25974,x25975,x25976,x25977,x25972)) % 242.40/242.49 [2598]~E(x25981,x25982)+E(f576(x25981,x25983,x25984,x25985,x25986,x25987),f576(x25982,x25983,x25984,x25985,x25986,x25987)) % 242.40/242.49 [2599]~E(x25991,x25992)+E(f576(x25993,x25991,x25994,x25995,x25996,x25997),f576(x25993,x25992,x25994,x25995,x25996,x25997)) % 242.40/242.49 [2600]~E(x26001,x26002)+E(f576(x26003,x26004,x26001,x26005,x26006,x26007),f576(x26003,x26004,x26002,x26005,x26006,x26007)) % 242.40/242.49 [2601]~E(x26011,x26012)+E(f576(x26013,x26014,x26015,x26011,x26016,x26017),f576(x26013,x26014,x26015,x26012,x26016,x26017)) % 242.40/242.49 [2602]~E(x26021,x26022)+E(f576(x26023,x26024,x26025,x26026,x26021,x26027),f576(x26023,x26024,x26025,x26026,x26022,x26027)) % 242.40/242.49 [2603]~E(x26031,x26032)+E(f576(x26033,x26034,x26035,x26036,x26037,x26031),f576(x26033,x26034,x26035,x26036,x26037,x26032)) % 242.40/242.49 [2604]~E(x26041,x26042)+E(f883(x26041,x26043,x26044,x26045),f883(x26042,x26043,x26044,x26045)) % 242.40/242.49 [2605]~E(x26051,x26052)+E(f883(x26053,x26051,x26054,x26055),f883(x26053,x26052,x26054,x26055)) % 242.40/242.49 [2606]~E(x26061,x26062)+E(f883(x26063,x26064,x26061,x26065),f883(x26063,x26064,x26062,x26065)) % 242.40/242.49 [2607]~E(x26071,x26072)+E(f883(x26073,x26074,x26075,x26071),f883(x26073,x26074,x26075,x26072)) % 242.40/242.49 [2608]~E(x26081,x26082)+E(f751(x26081,x26083),f751(x26082,x26083)) % 242.40/242.49 [2609]~E(x26091,x26092)+E(f751(x26093,x26091),f751(x26093,x26092)) % 242.40/242.49 [2610]~E(x26101,x26102)+E(f538(x26101,x26103,x26104,x26105,x26106,x26107,x26108,x26109),f538(x26102,x26103,x26104,x26105,x26106,x26107,x26108,x26109)) % 242.40/242.49 [2611]~E(x26111,x26112)+E(f538(x26113,x26111,x26114,x26115,x26116,x26117,x26118,x26119),f538(x26113,x26112,x26114,x26115,x26116,x26117,x26118,x26119)) % 242.40/242.49 [2612]~E(x26121,x26122)+E(f538(x26123,x26124,x26121,x26125,x26126,x26127,x26128,x26129),f538(x26123,x26124,x26122,x26125,x26126,x26127,x26128,x26129)) % 242.40/242.49 [2613]~E(x26131,x26132)+E(f538(x26133,x26134,x26135,x26131,x26136,x26137,x26138,x26139),f538(x26133,x26134,x26135,x26132,x26136,x26137,x26138,x26139)) % 242.40/242.49 [2614]~E(x26141,x26142)+E(f538(x26143,x26144,x26145,x26146,x26141,x26147,x26148,x26149),f538(x26143,x26144,x26145,x26146,x26142,x26147,x26148,x26149)) % 242.40/242.49 [2615]~E(x26151,x26152)+E(f538(x26153,x26154,x26155,x26156,x26157,x26151,x26158,x26159),f538(x26153,x26154,x26155,x26156,x26157,x26152,x26158,x26159)) % 242.40/242.49 [2616]~E(x26161,x26162)+E(f538(x26163,x26164,x26165,x26166,x26167,x26168,x26161,x26169),f538(x26163,x26164,x26165,x26166,x26167,x26168,x26162,x26169)) % 242.40/242.49 [2617]~E(x26171,x26172)+E(f538(x26173,x26174,x26175,x26176,x26177,x26178,x26179,x26171),f538(x26173,x26174,x26175,x26176,x26177,x26178,x26179,x26172)) % 242.40/242.49 [2618]~E(x26181,x26182)+E(f218(x26181,x26183),f218(x26182,x26183)) % 242.40/242.49 [2619]~E(x26191,x26192)+E(f218(x26193,x26191),f218(x26193,x26192)) % 242.40/242.49 [2620]~E(x26201,x26202)+E(f782(x26201,x26203,x26204),f782(x26202,x26203,x26204)) % 242.40/242.49 [2621]~E(x26211,x26212)+E(f782(x26213,x26211,x26214),f782(x26213,x26212,x26214)) % 242.40/242.49 [2622]~E(x26221,x26222)+E(f782(x26223,x26224,x26221),f782(x26223,x26224,x26222)) % 242.40/242.49 [2623]~E(x26231,x26232)+E(f817(x26231),f817(x26232)) % 242.40/242.49 [2624]~E(x26241,x26242)+E(f707(x26241,x26243,x26244,x26245),f707(x26242,x26243,x26244,x26245)) % 242.40/242.49 [2625]~E(x26251,x26252)+E(f707(x26253,x26251,x26254,x26255),f707(x26253,x26252,x26254,x26255)) % 242.40/242.49 [2626]~E(x26261,x26262)+E(f707(x26263,x26264,x26261,x26265),f707(x26263,x26264,x26262,x26265)) % 242.40/242.49 [2627]~E(x26271,x26272)+E(f707(x26273,x26274,x26275,x26271),f707(x26273,x26274,x26275,x26272)) % 242.40/242.49 [2628]~E(x26281,x26282)+E(f754(x26281,x26283),f754(x26282,x26283)) % 242.40/242.49 [2629]~E(x26291,x26292)+E(f754(x26293,x26291),f754(x26293,x26292)) % 242.40/242.49 [2630]~E(x26301,x26302)+E(f485(x26301,x26303),f485(x26302,x26303)) % 242.40/242.49 [2631]~E(x26311,x26312)+E(f485(x26313,x26311),f485(x26313,x26312)) % 242.40/242.49 [2632]~E(x26321,x26322)+E(f438(x26321,x26323),f438(x26322,x26323)) % 242.40/242.49 [2633]~E(x26331,x26332)+E(f438(x26333,x26331),f438(x26333,x26332)) % 242.40/242.49 [2634]~E(x26341,x26342)+E(f394(x26341,x26343,x26344,x26345),f394(x26342,x26343,x26344,x26345)) % 242.40/242.49 [2635]~E(x26351,x26352)+E(f394(x26353,x26351,x26354,x26355),f394(x26353,x26352,x26354,x26355)) % 242.40/242.49 [2636]~E(x26361,x26362)+E(f394(x26363,x26364,x26361,x26365),f394(x26363,x26364,x26362,x26365)) % 242.40/242.49 [2637]~E(x26371,x26372)+E(f394(x26373,x26374,x26375,x26371),f394(x26373,x26374,x26375,x26372)) % 242.40/242.49 [2638]~E(x26381,x26382)+E(f347(x26381,x26383),f347(x26382,x26383)) % 242.40/242.49 [2639]~E(x26391,x26392)+E(f347(x26393,x26391),f347(x26393,x26392)) % 242.40/242.49 [2640]~E(x26401,x26402)+E(f693(x26401,x26403,x26404),f693(x26402,x26403,x26404)) % 242.40/242.49 [2641]~E(x26411,x26412)+E(f693(x26413,x26411,x26414),f693(x26413,x26412,x26414)) % 242.40/242.49 [2642]~E(x26421,x26422)+E(f693(x26423,x26424,x26421),f693(x26423,x26424,x26422)) % 242.40/242.49 [2643]~E(x26431,x26432)+E(f771(x26431,x26433,x26434),f771(x26432,x26433,x26434)) % 242.40/242.49 [2644]~E(x26441,x26442)+E(f771(x26443,x26441,x26444),f771(x26443,x26442,x26444)) % 242.40/242.49 [2645]~E(x26451,x26452)+E(f771(x26453,x26454,x26451),f771(x26453,x26454,x26452)) % 242.40/242.49 [2646]~E(x26461,x26462)+E(f528(x26461),f528(x26462)) % 242.40/242.49 [2647]~E(x26471,x26472)+E(f686(x26471,x26473),f686(x26472,x26473)) % 242.40/242.49 [2648]~E(x26481,x26482)+E(f686(x26483,x26481),f686(x26483,x26482)) % 242.40/242.49 [2649]~E(x26491,x26492)+E(f718(x26491,x26493),f718(x26492,x26493)) % 242.40/242.49 [2650]~E(x26501,x26502)+E(f718(x26503,x26501),f718(x26503,x26502)) % 242.40/242.49 [2651]~E(x26511,x26512)+E(f823(x26511,x26513,x26514,x26515,x26516),f823(x26512,x26513,x26514,x26515,x26516)) % 242.40/242.49 [2652]~E(x26521,x26522)+E(f823(x26523,x26521,x26524,x26525,x26526),f823(x26523,x26522,x26524,x26525,x26526)) % 242.40/242.49 [2653]~E(x26531,x26532)+E(f823(x26533,x26534,x26531,x26535,x26536),f823(x26533,x26534,x26532,x26535,x26536)) % 242.40/242.49 [2654]~E(x26541,x26542)+E(f823(x26543,x26544,x26545,x26541,x26546),f823(x26543,x26544,x26545,x26542,x26546)) % 242.40/242.49 [2655]~E(x26551,x26552)+E(f823(x26553,x26554,x26555,x26556,x26551),f823(x26553,x26554,x26555,x26556,x26552)) % 242.40/242.49 [2656]~E(x26561,x26562)+E(f358(x26561,x26563,x26564),f358(x26562,x26563,x26564)) % 242.40/242.49 [2657]~E(x26571,x26572)+E(f358(x26573,x26571,x26574),f358(x26573,x26572,x26574)) % 242.40/242.49 [2658]~E(x26581,x26582)+E(f358(x26583,x26584,x26581),f358(x26583,x26584,x26582)) % 242.40/242.49 [2659]~E(x26591,x26592)+E(f544(x26591,x26593,x26594),f544(x26592,x26593,x26594)) % 242.40/242.49 [2660]~E(x26601,x26602)+E(f544(x26603,x26601,x26604),f544(x26603,x26602,x26604)) % 242.40/242.49 [2661]~E(x26611,x26612)+E(f544(x26613,x26614,x26611),f544(x26613,x26614,x26612)) % 242.40/242.49 [2662]~E(x26621,x26622)+E(f545(x26621,x26623,x26624,x26625),f545(x26622,x26623,x26624,x26625)) % 242.40/242.49 [2663]~E(x26631,x26632)+E(f545(x26633,x26631,x26634,x26635),f545(x26633,x26632,x26634,x26635)) % 242.40/242.49 [2664]~E(x26641,x26642)+E(f545(x26643,x26644,x26641,x26645),f545(x26643,x26644,x26642,x26645)) % 242.40/242.49 [2665]~E(x26651,x26652)+E(f545(x26653,x26654,x26655,x26651),f545(x26653,x26654,x26655,x26652)) % 242.40/242.49 [2666]~E(x26661,x26662)+E(f630(x26661,x26663,x26664),f630(x26662,x26663,x26664)) % 242.40/242.49 [2667]~E(x26671,x26672)+E(f630(x26673,x26671,x26674),f630(x26673,x26672,x26674)) % 242.40/242.49 [2668]~E(x26681,x26682)+E(f630(x26683,x26684,x26681),f630(x26683,x26684,x26682)) % 242.40/242.49 [2669]~E(x26691,x26692)+E(f805(x26691,x26693),f805(x26692,x26693)) % 242.40/242.49 [2670]~E(x26701,x26702)+E(f805(x26703,x26701),f805(x26703,x26702)) % 242.40/242.49 [2671]~E(x26711,x26712)+E(f464(x26711,x26713,x26714,x26715,x26716,x26717,x26718,x26719),f464(x26712,x26713,x26714,x26715,x26716,x26717,x26718,x26719)) % 242.40/242.49 [2672]~E(x26721,x26722)+E(f464(x26723,x26721,x26724,x26725,x26726,x26727,x26728,x26729),f464(x26723,x26722,x26724,x26725,x26726,x26727,x26728,x26729)) % 242.40/242.49 [2673]~E(x26731,x26732)+E(f464(x26733,x26734,x26731,x26735,x26736,x26737,x26738,x26739),f464(x26733,x26734,x26732,x26735,x26736,x26737,x26738,x26739)) % 242.40/242.49 [2674]~E(x26741,x26742)+E(f464(x26743,x26744,x26745,x26741,x26746,x26747,x26748,x26749),f464(x26743,x26744,x26745,x26742,x26746,x26747,x26748,x26749)) % 242.40/242.49 [2675]~E(x26751,x26752)+E(f464(x26753,x26754,x26755,x26756,x26751,x26757,x26758,x26759),f464(x26753,x26754,x26755,x26756,x26752,x26757,x26758,x26759)) % 242.40/242.49 [2676]~E(x26761,x26762)+E(f464(x26763,x26764,x26765,x26766,x26767,x26761,x26768,x26769),f464(x26763,x26764,x26765,x26766,x26767,x26762,x26768,x26769)) % 242.40/242.49 [2677]~E(x26771,x26772)+E(f464(x26773,x26774,x26775,x26776,x26777,x26778,x26771,x26779),f464(x26773,x26774,x26775,x26776,x26777,x26778,x26772,x26779)) % 242.40/242.49 [2678]~E(x26781,x26782)+E(f464(x26783,x26784,x26785,x26786,x26787,x26788,x26789,x26781),f464(x26783,x26784,x26785,x26786,x26787,x26788,x26789,x26782)) % 242.40/242.49 [2679]~E(x26791,x26792)+E(f75(x26791,x26793),f75(x26792,x26793)) % 242.40/242.49 [2680]~E(x26801,x26802)+E(f75(x26803,x26801),f75(x26803,x26802)) % 242.40/242.49 [2681]~E(x26811,x26812)+E(f21(x26811,x26813),f21(x26812,x26813)) % 242.40/242.49 [2682]~E(x26821,x26822)+E(f21(x26823,x26821),f21(x26823,x26822)) % 242.40/242.49 [2683]~E(x26831,x26832)+E(f295(x26831,x26833),f295(x26832,x26833)) % 242.40/242.49 [2684]~E(x26841,x26842)+E(f295(x26843,x26841),f295(x26843,x26842)) % 242.40/242.49 [2685]~E(x26851,x26852)+E(f46(x26851),f46(x26852)) % 242.40/242.49 [2686]~E(x26861,x26862)+E(f533(x26861,x26863,x26864,x26865),f533(x26862,x26863,x26864,x26865)) % 242.40/242.49 [2687]~E(x26871,x26872)+E(f533(x26873,x26871,x26874,x26875),f533(x26873,x26872,x26874,x26875)) % 242.40/242.49 [2688]~E(x26881,x26882)+E(f533(x26883,x26884,x26881,x26885),f533(x26883,x26884,x26882,x26885)) % 242.40/242.49 [2689]~E(x26891,x26892)+E(f533(x26893,x26894,x26895,x26891),f533(x26893,x26894,x26895,x26892)) % 242.40/242.49 [2690]~E(x26901,x26902)+E(f902(x26901,x26903,x26904,x26905),f902(x26902,x26903,x26904,x26905)) % 242.40/242.49 [2691]~E(x26911,x26912)+E(f902(x26913,x26911,x26914,x26915),f902(x26913,x26912,x26914,x26915)) % 242.40/242.49 [2692]~E(x26921,x26922)+E(f902(x26923,x26924,x26921,x26925),f902(x26923,x26924,x26922,x26925)) % 242.40/242.49 [2693]~E(x26931,x26932)+E(f902(x26933,x26934,x26935,x26931),f902(x26933,x26934,x26935,x26932)) % 242.40/242.49 [2694]~E(x26941,x26942)+E(f350(x26941,x26943,x26944),f350(x26942,x26943,x26944)) % 242.40/242.49 [2695]~E(x26951,x26952)+E(f350(x26953,x26951,x26954),f350(x26953,x26952,x26954)) % 242.40/242.49 [2696]~E(x26961,x26962)+E(f350(x26963,x26964,x26961),f350(x26963,x26964,x26962)) % 242.40/242.49 [2697]~E(x26971,x26972)+E(f475(x26971,x26973,x26974),f475(x26972,x26973,x26974)) % 242.40/242.49 [2698]~E(x26981,x26982)+E(f475(x26983,x26981,x26984),f475(x26983,x26982,x26984)) % 242.40/242.49 [2699]~E(x26991,x26992)+E(f475(x26993,x26994,x26991),f475(x26993,x26994,x26992)) % 242.40/242.49 [2700]~E(x27001,x27002)+E(f498(x27001,x27003,x27004,x27005),f498(x27002,x27003,x27004,x27005)) % 242.40/242.49 [2701]~E(x27011,x27012)+E(f498(x27013,x27011,x27014,x27015),f498(x27013,x27012,x27014,x27015)) % 242.40/242.49 [2702]~E(x27021,x27022)+E(f498(x27023,x27024,x27021,x27025),f498(x27023,x27024,x27022,x27025)) % 242.40/242.49 [2703]~E(x27031,x27032)+E(f498(x27033,x27034,x27035,x27031),f498(x27033,x27034,x27035,x27032)) % 242.40/242.49 [2704]~E(x27041,x27042)+E(f863(x27041,x27043,x27044,x27045,x27046,x27047,x27048,x27049),f863(x27042,x27043,x27044,x27045,x27046,x27047,x27048,x27049)) % 242.40/242.49 [2705]~E(x27051,x27052)+E(f863(x27053,x27051,x27054,x27055,x27056,x27057,x27058,x27059),f863(x27053,x27052,x27054,x27055,x27056,x27057,x27058,x27059)) % 242.40/242.49 [2706]~E(x27061,x27062)+E(f863(x27063,x27064,x27061,x27065,x27066,x27067,x27068,x27069),f863(x27063,x27064,x27062,x27065,x27066,x27067,x27068,x27069)) % 242.40/242.49 [2707]~E(x27071,x27072)+E(f863(x27073,x27074,x27075,x27071,x27076,x27077,x27078,x27079),f863(x27073,x27074,x27075,x27072,x27076,x27077,x27078,x27079)) % 242.40/242.49 [2708]~E(x27081,x27082)+E(f863(x27083,x27084,x27085,x27086,x27081,x27087,x27088,x27089),f863(x27083,x27084,x27085,x27086,x27082,x27087,x27088,x27089)) % 242.40/242.49 [2709]~E(x27091,x27092)+E(f863(x27093,x27094,x27095,x27096,x27097,x27091,x27098,x27099),f863(x27093,x27094,x27095,x27096,x27097,x27092,x27098,x27099)) % 242.40/242.49 [2710]~E(x27101,x27102)+E(f863(x27103,x27104,x27105,x27106,x27107,x27108,x27101,x27109),f863(x27103,x27104,x27105,x27106,x27107,x27108,x27102,x27109)) % 242.40/242.49 [2711]~E(x27111,x27112)+E(f863(x27113,x27114,x27115,x27116,x27117,x27118,x27119,x27111),f863(x27113,x27114,x27115,x27116,x27117,x27118,x27119,x27112)) % 242.40/242.49 [2712]~E(x27121,x27122)+E(f829(x27121,x27123),f829(x27122,x27123)) % 242.40/242.49 [2713]~E(x27131,x27132)+E(f829(x27133,x27131),f829(x27133,x27132)) % 242.40/242.49 [2714]~E(x27141,x27142)+E(f414(x27141,x27143,x27144,x27145),f414(x27142,x27143,x27144,x27145)) % 242.40/242.49 [2715]~E(x27151,x27152)+E(f414(x27153,x27151,x27154,x27155),f414(x27153,x27152,x27154,x27155)) % 242.40/242.49 [2716]~E(x27161,x27162)+E(f414(x27163,x27164,x27161,x27165),f414(x27163,x27164,x27162,x27165)) % 242.40/242.49 [2717]~E(x27171,x27172)+E(f414(x27173,x27174,x27175,x27171),f414(x27173,x27174,x27175,x27172)) % 242.40/242.49 [2718]~E(x27181,x27182)+E(f832(x27181,x27183),f832(x27182,x27183)) % 242.40/242.49 [2719]~E(x27191,x27192)+E(f832(x27193,x27191),f832(x27193,x27192)) % 242.40/242.49 [2720]~E(x27201,x27202)+E(f529(x27201),f529(x27202)) % 242.40/242.49 [2721]~E(x27211,x27212)+E(f402(x27211,x27213,x27214,x27215),f402(x27212,x27213,x27214,x27215)) % 242.40/242.49 [2722]~E(x27221,x27222)+E(f402(x27223,x27221,x27224,x27225),f402(x27223,x27222,x27224,x27225)) % 242.40/242.49 [2723]~E(x27231,x27232)+E(f402(x27233,x27234,x27231,x27235),f402(x27233,x27234,x27232,x27235)) % 242.40/242.49 [2724]~E(x27241,x27242)+E(f402(x27243,x27244,x27245,x27241),f402(x27243,x27244,x27245,x27242)) % 242.40/242.49 [2725]~E(x27251,x27252)+E(f359(x27251,x27253,x27254),f359(x27252,x27253,x27254)) % 242.40/242.49 [2726]~E(x27261,x27262)+E(f359(x27263,x27261,x27264),f359(x27263,x27262,x27264)) % 242.40/242.49 [2727]~E(x27271,x27272)+E(f359(x27273,x27274,x27271),f359(x27273,x27274,x27272)) % 242.40/242.49 [2728]~E(x27281,x27282)+E(f862(x27281,x27283,x27284,x27285,x27286,x27287,x27288,x27289),f862(x27282,x27283,x27284,x27285,x27286,x27287,x27288,x27289)) % 242.40/242.49 [2729]~E(x27291,x27292)+E(f862(x27293,x27291,x27294,x27295,x27296,x27297,x27298,x27299),f862(x27293,x27292,x27294,x27295,x27296,x27297,x27298,x27299)) % 242.40/242.49 [2730]~E(x27301,x27302)+E(f862(x27303,x27304,x27301,x27305,x27306,x27307,x27308,x27309),f862(x27303,x27304,x27302,x27305,x27306,x27307,x27308,x27309)) % 242.40/242.49 [2731]~E(x27311,x27312)+E(f862(x27313,x27314,x27315,x27311,x27316,x27317,x27318,x27319),f862(x27313,x27314,x27315,x27312,x27316,x27317,x27318,x27319)) % 242.40/242.49 [2732]~E(x27321,x27322)+E(f862(x27323,x27324,x27325,x27326,x27321,x27327,x27328,x27329),f862(x27323,x27324,x27325,x27326,x27322,x27327,x27328,x27329)) % 242.40/242.49 [2733]~E(x27331,x27332)+E(f862(x27333,x27334,x27335,x27336,x27337,x27331,x27338,x27339),f862(x27333,x27334,x27335,x27336,x27337,x27332,x27338,x27339)) % 242.40/242.49 [2734]~E(x27341,x27342)+E(f862(x27343,x27344,x27345,x27346,x27347,x27348,x27341,x27349),f862(x27343,x27344,x27345,x27346,x27347,x27348,x27342,x27349)) % 242.40/242.49 [2735]~E(x27351,x27352)+E(f862(x27353,x27354,x27355,x27356,x27357,x27358,x27359,x27351),f862(x27353,x27354,x27355,x27356,x27357,x27358,x27359,x27352)) % 242.40/242.49 [2736]~E(x27361,x27362)+E(f232(x27361,x27363,x27364),f232(x27362,x27363,x27364)) % 242.40/242.49 [2737]~E(x27371,x27372)+E(f232(x27373,x27371,x27374),f232(x27373,x27372,x27374)) % 242.40/242.49 [2738]~E(x27381,x27382)+E(f232(x27383,x27384,x27381),f232(x27383,x27384,x27382)) % 242.40/242.49 [2739]~E(x27391,x27392)+E(f575(x27391,x27393,x27394),f575(x27392,x27393,x27394)) % 242.40/242.49 [2740]~E(x27401,x27402)+E(f575(x27403,x27401,x27404),f575(x27403,x27402,x27404)) % 242.40/242.49 [2741]~E(x27411,x27412)+E(f575(x27413,x27414,x27411),f575(x27413,x27414,x27412)) % 242.40/242.49 [2742]~E(x27421,x27422)+E(f378(x27421,x27423),f378(x27422,x27423)) % 242.40/242.49 [2743]~E(x27431,x27432)+E(f378(x27433,x27431),f378(x27433,x27432)) % 242.40/242.49 [2744]~E(x27441,x27442)+E(f517(x27441,x27443,x27444),f517(x27442,x27443,x27444)) % 242.40/242.49 [2745]~E(x27451,x27452)+E(f517(x27453,x27451,x27454),f517(x27453,x27452,x27454)) % 242.40/242.49 [2746]~E(x27461,x27462)+E(f517(x27463,x27464,x27461),f517(x27463,x27464,x27462)) % 242.40/242.49 [2747]~E(x27471,x27472)+E(f513(x27471,x27473),f513(x27472,x27473)) % 242.40/242.49 [2748]~E(x27481,x27482)+E(f513(x27483,x27481),f513(x27483,x27482)) % 242.40/242.49 [2749]~E(x27491,x27492)+E(f812(x27491,x27493,x27494,x27495,x27496,x27497,x27498),f812(x27492,x27493,x27494,x27495,x27496,x27497,x27498)) % 242.40/242.49 [2750]~E(x27501,x27502)+E(f812(x27503,x27501,x27504,x27505,x27506,x27507,x27508),f812(x27503,x27502,x27504,x27505,x27506,x27507,x27508)) % 242.40/242.49 [2751]~E(x27511,x27512)+E(f812(x27513,x27514,x27511,x27515,x27516,x27517,x27518),f812(x27513,x27514,x27512,x27515,x27516,x27517,x27518)) % 242.40/242.49 [2752]~E(x27521,x27522)+E(f812(x27523,x27524,x27525,x27521,x27526,x27527,x27528),f812(x27523,x27524,x27525,x27522,x27526,x27527,x27528)) % 242.40/242.49 [2753]~E(x27531,x27532)+E(f812(x27533,x27534,x27535,x27536,x27531,x27537,x27538),f812(x27533,x27534,x27535,x27536,x27532,x27537,x27538)) % 242.40/242.49 [2754]~E(x27541,x27542)+E(f812(x27543,x27544,x27545,x27546,x27547,x27541,x27548),f812(x27543,x27544,x27545,x27546,x27547,x27542,x27548)) % 242.40/242.49 [2755]~E(x27551,x27552)+E(f812(x27553,x27554,x27555,x27556,x27557,x27558,x27551),f812(x27553,x27554,x27555,x27556,x27557,x27558,x27552)) % 242.40/242.49 [2756]~E(x27561,x27562)+E(f609(x27561,x27563,x27564,x27565),f609(x27562,x27563,x27564,x27565)) % 242.40/242.49 [2757]~E(x27571,x27572)+E(f609(x27573,x27571,x27574,x27575),f609(x27573,x27572,x27574,x27575)) % 242.40/242.49 [2758]~E(x27581,x27582)+E(f609(x27583,x27584,x27581,x27585),f609(x27583,x27584,x27582,x27585)) % 242.40/242.49 [2759]~E(x27591,x27592)+E(f609(x27593,x27594,x27595,x27591),f609(x27593,x27594,x27595,x27592)) % 242.40/242.49 [2760]~E(x27601,x27602)+E(f416(x27601),f416(x27602)) % 242.40/242.49 [2761]~E(x27611,x27612)+E(f715(x27611,x27613,x27614,x27615,x27616,x27617),f715(x27612,x27613,x27614,x27615,x27616,x27617)) % 242.40/242.49 [2762]~E(x27621,x27622)+E(f715(x27623,x27621,x27624,x27625,x27626,x27627),f715(x27623,x27622,x27624,x27625,x27626,x27627)) % 242.40/242.49 [2763]~E(x27631,x27632)+E(f715(x27633,x27634,x27631,x27635,x27636,x27637),f715(x27633,x27634,x27632,x27635,x27636,x27637)) % 242.40/242.49 [2764]~E(x27641,x27642)+E(f715(x27643,x27644,x27645,x27641,x27646,x27647),f715(x27643,x27644,x27645,x27642,x27646,x27647)) % 242.40/242.49 [2765]~E(x27651,x27652)+E(f715(x27653,x27654,x27655,x27656,x27651,x27657),f715(x27653,x27654,x27655,x27656,x27652,x27657)) % 242.40/242.49 [2766]~E(x27661,x27662)+E(f715(x27663,x27664,x27665,x27666,x27667,x27661),f715(x27663,x27664,x27665,x27666,x27667,x27662)) % 242.40/242.49 [2767]~E(x27671,x27672)+E(f530(x27671,x27673),f530(x27672,x27673)) % 242.40/242.49 [2768]~E(x27681,x27682)+E(f530(x27683,x27681),f530(x27683,x27682)) % 242.40/242.49 [2769]~E(x27691,x27692)+E(f798(x27691,x27693,x27694,x27695,x27696),f798(x27692,x27693,x27694,x27695,x27696)) % 242.40/242.49 [2770]~E(x27701,x27702)+E(f798(x27703,x27701,x27704,x27705,x27706),f798(x27703,x27702,x27704,x27705,x27706)) % 242.40/242.49 [2771]~E(x27711,x27712)+E(f798(x27713,x27714,x27711,x27715,x27716),f798(x27713,x27714,x27712,x27715,x27716)) % 242.40/242.49 [2772]~E(x27721,x27722)+E(f798(x27723,x27724,x27725,x27721,x27726),f798(x27723,x27724,x27725,x27722,x27726)) % 242.40/242.49 [2773]~E(x27731,x27732)+E(f798(x27733,x27734,x27735,x27736,x27731),f798(x27733,x27734,x27735,x27736,x27732)) % 242.40/242.49 [2774]~E(x27741,x27742)+E(f799(x27741,x27743,x27744,x27745),f799(x27742,x27743,x27744,x27745)) % 242.40/242.49 [2775]~E(x27751,x27752)+E(f799(x27753,x27751,x27754,x27755),f799(x27753,x27752,x27754,x27755)) % 242.40/242.49 [2776]~E(x27761,x27762)+E(f799(x27763,x27764,x27761,x27765),f799(x27763,x27764,x27762,x27765)) % 242.40/242.49 [2777]~E(x27771,x27772)+E(f799(x27773,x27774,x27775,x27771),f799(x27773,x27774,x27775,x27772)) % 242.40/242.49 [2778]~E(x27781,x27782)+E(f527(x27781,x27783,x27784,x27785,x27786,x27787),f527(x27782,x27783,x27784,x27785,x27786,x27787)) % 242.40/242.49 [2779]~E(x27791,x27792)+E(f527(x27793,x27791,x27794,x27795,x27796,x27797),f527(x27793,x27792,x27794,x27795,x27796,x27797)) % 242.40/242.49 [2780]~E(x27801,x27802)+E(f527(x27803,x27804,x27801,x27805,x27806,x27807),f527(x27803,x27804,x27802,x27805,x27806,x27807)) % 242.40/242.49 [2781]~E(x27811,x27812)+E(f527(x27813,x27814,x27815,x27811,x27816,x27817),f527(x27813,x27814,x27815,x27812,x27816,x27817)) % 242.40/242.49 [2782]~E(x27821,x27822)+E(f527(x27823,x27824,x27825,x27826,x27821,x27827),f527(x27823,x27824,x27825,x27826,x27822,x27827)) % 242.40/242.49 [2783]~E(x27831,x27832)+E(f527(x27833,x27834,x27835,x27836,x27837,x27831),f527(x27833,x27834,x27835,x27836,x27837,x27832)) % 242.40/242.49 [2784]~E(x27841,x27842)+E(f284(x27841,x27843,x27844,x27845),f284(x27842,x27843,x27844,x27845)) % 242.40/242.49 [2785]~E(x27851,x27852)+E(f284(x27853,x27851,x27854,x27855),f284(x27853,x27852,x27854,x27855)) % 242.40/242.49 [2786]~E(x27861,x27862)+E(f284(x27863,x27864,x27861,x27865),f284(x27863,x27864,x27862,x27865)) % 242.40/242.49 [2787]~E(x27871,x27872)+E(f284(x27873,x27874,x27875,x27871),f284(x27873,x27874,x27875,x27872)) % 242.40/242.49 [2788]~E(x27881,x27882)+E(f229(x27881,x27883,x27884,x27885,x27886),f229(x27882,x27883,x27884,x27885,x27886)) % 242.40/242.49 [2789]~E(x27891,x27892)+E(f229(x27893,x27891,x27894,x27895,x27896),f229(x27893,x27892,x27894,x27895,x27896)) % 242.40/242.49 [2790]~E(x27901,x27902)+E(f229(x27903,x27904,x27901,x27905,x27906),f229(x27903,x27904,x27902,x27905,x27906)) % 242.40/242.49 [2791]~E(x27911,x27912)+E(f229(x27913,x27914,x27915,x27911,x27916),f229(x27913,x27914,x27915,x27912,x27916)) % 242.40/242.49 [2792]~E(x27921,x27922)+E(f229(x27923,x27924,x27925,x27926,x27921),f229(x27923,x27924,x27925,x27926,x27922)) % 242.40/242.49 [2793]~E(x27931,x27932)+E(f779(x27931,x27933,x27934),f779(x27932,x27933,x27934)) % 242.40/242.49 [2794]~E(x27941,x27942)+E(f779(x27943,x27941,x27944),f779(x27943,x27942,x27944)) % 242.40/242.49 [2795]~E(x27951,x27952)+E(f779(x27953,x27954,x27951),f779(x27953,x27954,x27952)) % 242.40/242.49 [2796]~E(x27961,x27962)+E(f775(x27961,x27963,x27964),f775(x27962,x27963,x27964)) % 242.40/242.49 [2797]~E(x27971,x27972)+E(f775(x27973,x27971,x27974),f775(x27973,x27972,x27974)) % 242.40/242.49 [2798]~E(x27981,x27982)+E(f775(x27983,x27984,x27981),f775(x27983,x27984,x27982)) % 242.40/242.49 [2799]~E(x27991,x27992)+E(f352(x27991,x27993,x27994),f352(x27992,x27993,x27994)) % 242.40/242.49 [2800]~E(x28001,x28002)+E(f352(x28003,x28001,x28004),f352(x28003,x28002,x28004)) % 242.40/242.49 [2801]~E(x28011,x28012)+E(f352(x28013,x28014,x28011),f352(x28013,x28014,x28012)) % 242.40/242.49 [2802]~E(x28021,x28022)+E(f360(x28021,x28023,x28024),f360(x28022,x28023,x28024)) % 242.40/242.49 [2803]~E(x28031,x28032)+E(f360(x28033,x28031,x28034),f360(x28033,x28032,x28034)) % 242.40/242.49 [2804]~E(x28041,x28042)+E(f360(x28043,x28044,x28041),f360(x28043,x28044,x28042)) % 242.40/242.49 [2805]~E(x28051,x28052)+E(f560(x28051,x28053),f560(x28052,x28053)) % 242.40/242.49 [2806]~E(x28061,x28062)+E(f560(x28063,x28061),f560(x28063,x28062)) % 242.40/242.49 [2807]~E(x28071,x28072)+E(f365(x28071,x28073,x28074,x28075,x28076,x28077),f365(x28072,x28073,x28074,x28075,x28076,x28077)) % 242.40/242.49 [2808]~E(x28081,x28082)+E(f365(x28083,x28081,x28084,x28085,x28086,x28087),f365(x28083,x28082,x28084,x28085,x28086,x28087)) % 242.40/242.49 [2809]~E(x28091,x28092)+E(f365(x28093,x28094,x28091,x28095,x28096,x28097),f365(x28093,x28094,x28092,x28095,x28096,x28097)) % 242.40/242.49 [2810]~E(x28101,x28102)+E(f365(x28103,x28104,x28105,x28101,x28106,x28107),f365(x28103,x28104,x28105,x28102,x28106,x28107)) % 242.40/242.49 [2811]~E(x28111,x28112)+E(f365(x28113,x28114,x28115,x28116,x28111,x28117),f365(x28113,x28114,x28115,x28116,x28112,x28117)) % 242.40/242.49 [2812]~E(x28121,x28122)+E(f365(x28123,x28124,x28125,x28126,x28127,x28121),f365(x28123,x28124,x28125,x28126,x28127,x28122)) % 242.40/242.49 [2813]~E(x28131,x28132)+E(f361(x28131,x28133,x28134),f361(x28132,x28133,x28134)) % 242.40/242.49 [2814]~E(x28141,x28142)+E(f361(x28143,x28141,x28144),f361(x28143,x28142,x28144)) % 242.40/242.49 [2815]~E(x28151,x28152)+E(f361(x28153,x28154,x28151),f361(x28153,x28154,x28152)) % 242.40/242.49 [2816]~E(x28161,x28162)+E(f631(x28161,x28163,x28164),f631(x28162,x28163,x28164)) % 242.40/242.49 [2817]~E(x28171,x28172)+E(f631(x28173,x28171,x28174),f631(x28173,x28172,x28174)) % 242.40/242.49 [2818]~E(x28181,x28182)+E(f631(x28183,x28184,x28181),f631(x28183,x28184,x28182)) % 242.40/242.49 [2819]~E(x28191,x28192)+E(f525(x28191,x28193,x28194,x28195),f525(x28192,x28193,x28194,x28195)) % 242.40/242.49 [2820]~E(x28201,x28202)+E(f525(x28203,x28201,x28204,x28205),f525(x28203,x28202,x28204,x28205)) % 242.40/242.49 [2821]~E(x28211,x28212)+E(f525(x28213,x28214,x28211,x28215),f525(x28213,x28214,x28212,x28215)) % 242.40/242.49 [2822]~E(x28221,x28222)+E(f525(x28223,x28224,x28225,x28221),f525(x28223,x28224,x28225,x28222)) % 242.40/242.49 [2823]~E(x28231,x28232)+E(f668(x28231,x28233,x28234),f668(x28232,x28233,x28234)) % 242.40/242.49 [2824]~E(x28241,x28242)+E(f668(x28243,x28241,x28244),f668(x28243,x28242,x28244)) % 242.40/242.49 [2825]~E(x28251,x28252)+E(f668(x28253,x28254,x28251),f668(x28253,x28254,x28252)) % 242.40/242.49 [2826]~E(x28261,x28262)+E(f364(x28261,x28263,x28264,x28265,x28266),f364(x28262,x28263,x28264,x28265,x28266)) % 242.40/242.49 [2827]~E(x28271,x28272)+E(f364(x28273,x28271,x28274,x28275,x28276),f364(x28273,x28272,x28274,x28275,x28276)) % 242.40/242.49 [2828]~E(x28281,x28282)+E(f364(x28283,x28284,x28281,x28285,x28286),f364(x28283,x28284,x28282,x28285,x28286)) % 242.40/242.49 [2829]~E(x28291,x28292)+E(f364(x28293,x28294,x28295,x28291,x28296),f364(x28293,x28294,x28295,x28292,x28296)) % 242.40/242.49 [2830]~E(x28301,x28302)+E(f364(x28303,x28304,x28305,x28306,x28301),f364(x28303,x28304,x28305,x28306,x28302)) % 242.40/242.49 [2831]~E(x28311,x28312)+E(f886(x28311,x28313,x28314,x28315),f886(x28312,x28313,x28314,x28315)) % 242.40/242.49 [2832]~E(x28321,x28322)+E(f886(x28323,x28321,x28324,x28325),f886(x28323,x28322,x28324,x28325)) % 242.40/242.49 [2833]~E(x28331,x28332)+E(f886(x28333,x28334,x28331,x28335),f886(x28333,x28334,x28332,x28335)) % 242.40/242.49 [2834]~E(x28341,x28342)+E(f886(x28343,x28344,x28345,x28341),f886(x28343,x28344,x28345,x28342)) % 242.40/242.49 [2835]~E(x28351,x28352)+E(f735(x28351,x28353,x28354),f735(x28352,x28353,x28354)) % 242.40/242.49 [2836]~E(x28361,x28362)+E(f735(x28363,x28361,x28364),f735(x28363,x28362,x28364)) % 242.40/242.49 [2837]~E(x28371,x28372)+E(f735(x28373,x28374,x28371),f735(x28373,x28374,x28372)) % 242.40/242.49 [2838]~E(x28381,x28382)+E(f381(x28381),f381(x28382)) % 242.40/242.49 [2839]~E(x28391,x28392)+E(f826(x28391,x28393),f826(x28392,x28393)) % 242.40/242.49 [2840]~E(x28401,x28402)+E(f826(x28403,x28401),f826(x28403,x28402)) % 242.40/242.49 [2841]~E(x28411,x28412)+E(f204(x28411),f204(x28412)) % 242.40/242.49 [2842]~E(x28421,x28422)+E(f687(x28421,x28423),f687(x28422,x28423)) % 242.40/242.49 [2843]~E(x28431,x28432)+E(f687(x28433,x28431),f687(x28433,x28432)) % 242.40/242.49 [2844]~E(x28441,x28442)+E(f366(x28441,x28443,x28444,x28445,x28446,x28447),f366(x28442,x28443,x28444,x28445,x28446,x28447)) % 242.40/242.49 [2845]~E(x28451,x28452)+E(f366(x28453,x28451,x28454,x28455,x28456,x28457),f366(x28453,x28452,x28454,x28455,x28456,x28457)) % 242.40/242.49 [2846]~E(x28461,x28462)+E(f366(x28463,x28464,x28461,x28465,x28466,x28467),f366(x28463,x28464,x28462,x28465,x28466,x28467)) % 242.40/242.49 [2847]~E(x28471,x28472)+E(f366(x28473,x28474,x28475,x28471,x28476,x28477),f366(x28473,x28474,x28475,x28472,x28476,x28477)) % 242.40/242.49 [2848]~E(x28481,x28482)+E(f366(x28483,x28484,x28485,x28486,x28481,x28487),f366(x28483,x28484,x28485,x28486,x28482,x28487)) % 242.40/242.49 [2849]~E(x28491,x28492)+E(f366(x28493,x28494,x28495,x28496,x28497,x28491),f366(x28493,x28494,x28495,x28496,x28497,x28492)) % 242.40/242.49 [2850]~E(x28501,x28502)+E(f210(x28501,x28503,x28504,x28505),f210(x28502,x28503,x28504,x28505)) % 242.40/242.49 [2851]~E(x28511,x28512)+E(f210(x28513,x28511,x28514,x28515),f210(x28513,x28512,x28514,x28515)) % 242.40/242.49 [2852]~E(x28521,x28522)+E(f210(x28523,x28524,x28521,x28525),f210(x28523,x28524,x28522,x28525)) % 242.40/242.49 [2853]~E(x28531,x28532)+E(f210(x28533,x28534,x28535,x28531),f210(x28533,x28534,x28535,x28532)) % 242.40/242.49 [2854]~E(x28541,x28542)+E(f819(x28541,x28543,x28544,x28545),f819(x28542,x28543,x28544,x28545)) % 242.40/242.49 [2855]~E(x28551,x28552)+E(f819(x28553,x28551,x28554,x28555),f819(x28553,x28552,x28554,x28555)) % 242.40/242.49 [2856]~E(x28561,x28562)+E(f819(x28563,x28564,x28561,x28565),f819(x28563,x28564,x28562,x28565)) % 242.40/242.49 [2857]~E(x28571,x28572)+E(f819(x28573,x28574,x28575,x28571),f819(x28573,x28574,x28575,x28572)) % 242.40/242.49 [2858]~E(x28581,x28582)+E(f854(x28581,x28583,x28584,x28585,x28586),f854(x28582,x28583,x28584,x28585,x28586)) % 242.40/242.49 [2859]~E(x28591,x28592)+E(f854(x28593,x28591,x28594,x28595,x28596),f854(x28593,x28592,x28594,x28595,x28596)) % 242.40/242.49 [2860]~E(x28601,x28602)+E(f854(x28603,x28604,x28601,x28605,x28606),f854(x28603,x28604,x28602,x28605,x28606)) % 242.40/242.49 [2861]~E(x28611,x28612)+E(f854(x28613,x28614,x28615,x28611,x28616),f854(x28613,x28614,x28615,x28612,x28616)) % 242.40/242.49 [2862]~E(x28621,x28622)+E(f854(x28623,x28624,x28625,x28626,x28621),f854(x28623,x28624,x28625,x28626,x28622)) % 242.40/242.49 [2863]~E(x28631,x28632)+E(f343(x28631,x28633,x28634),f343(x28632,x28633,x28634)) % 242.40/242.49 [2864]~E(x28641,x28642)+E(f343(x28643,x28641,x28644),f343(x28643,x28642,x28644)) % 242.40/242.49 [2865]~E(x28651,x28652)+E(f343(x28653,x28654,x28651),f343(x28653,x28654,x28652)) % 242.40/242.49 [2866]~E(x28661,x28662)+E(f462(x28661,x28663,x28664),f462(x28662,x28663,x28664)) % 242.40/242.49 [2867]~E(x28671,x28672)+E(f462(x28673,x28671,x28674),f462(x28673,x28672,x28674)) % 242.40/242.49 [2868]~E(x28681,x28682)+E(f462(x28683,x28684,x28681),f462(x28683,x28684,x28682)) % 242.40/242.49 [2869]~E(x28691,x28692)+E(f126(x28691),f126(x28692)) % 242.40/242.49 [2870]~E(x28701,x28702)+E(f654(x28701,x28703,x28704,x28705),f654(x28702,x28703,x28704,x28705)) % 242.40/242.49 [2871]~E(x28711,x28712)+E(f654(x28713,x28711,x28714,x28715),f654(x28713,x28712,x28714,x28715)) % 242.40/242.49 [2872]~E(x28721,x28722)+E(f654(x28723,x28724,x28721,x28725),f654(x28723,x28724,x28722,x28725)) % 242.40/242.49 [2873]~E(x28731,x28732)+E(f654(x28733,x28734,x28735,x28731),f654(x28733,x28734,x28735,x28732)) % 242.40/242.49 [2874]~E(x28741,x28742)+E(f833(x28741),f833(x28742)) % 242.40/242.49 [2875]~E(x28751,x28752)+E(f760(x28751,x28753),f760(x28752,x28753)) % 242.40/242.49 [2876]~E(x28761,x28762)+E(f760(x28763,x28761),f760(x28763,x28762)) % 242.40/242.49 [2877]~P1(x28771)+P1(x28772)+~E(x28771,x28772) % 242.40/242.49 [2878]~P2(x28781)+P2(x28782)+~E(x28781,x28782) % 242.40/242.49 [2879]~P112(x28791)+P112(x28792)+~E(x28791,x28792) % 242.40/242.49 [2880]~P106(x28801)+P106(x28802)+~E(x28801,x28802) % 242.40/242.49 [2881]~P104(x28811)+P104(x28812)+~E(x28811,x28812) % 242.40/242.49 [2882]~P68(x28821)+P68(x28822)+~E(x28821,x28822) % 242.40/242.49 [2883]~P105(x28831)+P105(x28832)+~E(x28831,x28832) % 242.40/242.49 [2884]P150(x28842,x28843,x28844)+~E(x28841,x28842)+~P150(x28841,x28843,x28844) % 242.40/242.49 [2885]P150(x28853,x28852,x28854)+~E(x28851,x28852)+~P150(x28853,x28851,x28854) % 242.40/242.49 [2886]P150(x28863,x28864,x28862)+~E(x28861,x28862)+~P150(x28863,x28864,x28861) % 242.40/242.49 [2887]P46(x28872,x28873,x28874,x28875)+~E(x28871,x28872)+~P46(x28871,x28873,x28874,x28875) % 242.40/242.49 [2888]P46(x28883,x28882,x28884,x28885)+~E(x28881,x28882)+~P46(x28883,x28881,x28884,x28885) % 242.40/242.49 [2889]P46(x28893,x28894,x28892,x28895)+~E(x28891,x28892)+~P46(x28893,x28894,x28891,x28895) % 242.40/242.49 [2890]P46(x28903,x28904,x28905,x28902)+~E(x28901,x28902)+~P46(x28903,x28904,x28905,x28901) % 242.40/242.49 [2891]~P3(x28911)+P3(x28912)+~E(x28911,x28912) % 242.40/242.49 [2892]~P4(x28921)+P4(x28922)+~E(x28921,x28922) % 242.40/242.49 [2893]~P98(x28931)+P98(x28932)+~E(x28931,x28932) % 242.40/242.49 [2894]~P71(x28941)+P71(x28942)+~E(x28941,x28942) % 242.40/242.49 [2895]~P113(x28951)+P113(x28952)+~E(x28951,x28952) % 242.40/242.49 [2896]~P110(x28961)+P110(x28962)+~E(x28961,x28962) % 242.40/242.49 [2897]~P129(x28971)+P129(x28972)+~E(x28971,x28972) % 242.40/242.49 [2898]~P72(x28981)+P72(x28982)+~E(x28981,x28982) % 242.40/242.49 [2899]~P137(x28991)+P137(x28992)+~E(x28991,x28992) % 242.40/242.49 [2900]~P111(x29001)+P111(x29002)+~E(x29001,x29002) % 242.40/242.49 [2901]P65(x29012,x29013,x29014,x29015)+~E(x29011,x29012)+~P65(x29011,x29013,x29014,x29015) % 242.40/242.49 [2902]P65(x29023,x29022,x29024,x29025)+~E(x29021,x29022)+~P65(x29023,x29021,x29024,x29025) % 242.40/242.49 [2903]P65(x29033,x29034,x29032,x29035)+~E(x29031,x29032)+~P65(x29033,x29034,x29031,x29035) % 242.40/242.49 [2904]P65(x29043,x29044,x29045,x29042)+~E(x29041,x29042)+~P65(x29043,x29044,x29045,x29041) % 242.40/242.49 [2905]~P83(x29051)+P83(x29052)+~E(x29051,x29052) % 242.40/242.49 [2906]P16(x29062,x29063)+~E(x29061,x29062)+~P16(x29061,x29063) % 242.40/242.49 [2907]P16(x29073,x29072)+~E(x29071,x29072)+~P16(x29073,x29071) % 242.40/242.49 [2908]P37(x29082,x29083,x29084,x29085)+~E(x29081,x29082)+~P37(x29081,x29083,x29084,x29085) % 242.40/242.49 [2909]P37(x29093,x29092,x29094,x29095)+~E(x29091,x29092)+~P37(x29093,x29091,x29094,x29095) % 242.40/242.49 [2910]P37(x29103,x29104,x29102,x29105)+~E(x29101,x29102)+~P37(x29103,x29104,x29101,x29105) % 242.40/242.49 [2911]P37(x29113,x29114,x29115,x29112)+~E(x29111,x29112)+~P37(x29113,x29114,x29115,x29111) % 242.40/242.49 [2912]P149(x29122,x29123,x29124)+~E(x29121,x29122)+~P149(x29121,x29123,x29124) % 242.40/242.49 [2913]P149(x29133,x29132,x29134)+~E(x29131,x29132)+~P149(x29133,x29131,x29134) % 242.40/242.49 [2914]P149(x29143,x29144,x29142)+~E(x29141,x29142)+~P149(x29143,x29144,x29141) % 242.40/242.49 [2915]P33(x29152,x29153)+~E(x29151,x29152)+~P33(x29151,x29153) % 242.40/242.49 [2916]P33(x29163,x29162)+~E(x29161,x29162)+~P33(x29163,x29161) % 242.40/242.49 [2917]~P73(x29171)+P73(x29172)+~E(x29171,x29172) % 242.40/242.49 [2918]P28(x29182,x29183,x29184,x29185)+~E(x29181,x29182)+~P28(x29181,x29183,x29184,x29185) % 242.40/242.49 [2919]P28(x29193,x29192,x29194,x29195)+~E(x29191,x29192)+~P28(x29193,x29191,x29194,x29195) % 242.40/242.49 [2920]P28(x29203,x29204,x29202,x29205)+~E(x29201,x29202)+~P28(x29203,x29204,x29201,x29205) % 242.40/242.49 [2921]P28(x29213,x29214,x29215,x29212)+~E(x29211,x29212)+~P28(x29213,x29214,x29215,x29211) % 242.40/242.49 [2922]P40(x29222,x29223,x29224)+~E(x29221,x29222)+~P40(x29221,x29223,x29224) % 242.40/242.49 [2923]P40(x29233,x29232,x29234)+~E(x29231,x29232)+~P40(x29233,x29231,x29234) % 242.40/242.49 [2924]P40(x29243,x29244,x29242)+~E(x29241,x29242)+~P40(x29243,x29244,x29241) % 242.40/242.49 [2925]P18(x29252,x29253)+~E(x29251,x29252)+~P18(x29251,x29253) % 242.40/242.49 [2926]P18(x29263,x29262)+~E(x29261,x29262)+~P18(x29263,x29261) % 242.40/242.49 [2927]P35(x29272,x29273,x29274)+~E(x29271,x29272)+~P35(x29271,x29273,x29274) % 242.40/242.49 [2928]P35(x29283,x29282,x29284)+~E(x29281,x29282)+~P35(x29283,x29281,x29284) % 242.40/242.49 [2929]P35(x29293,x29294,x29292)+~E(x29291,x29292)+~P35(x29293,x29294,x29291) % 242.40/242.49 [2930]~P87(x29301)+P87(x29302)+~E(x29301,x29302) % 242.40/242.49 [2931]~P115(x29311)+P115(x29312)+~E(x29311,x29312) % 242.40/242.49 [2932]~P119(x29321)+P119(x29322)+~E(x29321,x29322) % 242.40/242.49 [2933]~P74(x29331)+P74(x29332)+~E(x29331,x29332) % 242.40/242.49 [2934]P29(x29342,x29343,x29344,x29345,x29346)+~E(x29341,x29342)+~P29(x29341,x29343,x29344,x29345,x29346) % 242.40/242.49 [2935]P29(x29353,x29352,x29354,x29355,x29356)+~E(x29351,x29352)+~P29(x29353,x29351,x29354,x29355,x29356) % 242.40/242.49 [2936]P29(x29363,x29364,x29362,x29365,x29366)+~E(x29361,x29362)+~P29(x29363,x29364,x29361,x29365,x29366) % 242.40/242.49 [2937]P29(x29373,x29374,x29375,x29372,x29376)+~E(x29371,x29372)+~P29(x29373,x29374,x29375,x29371,x29376) % 242.40/242.49 [2938]P29(x29383,x29384,x29385,x29386,x29382)+~E(x29381,x29382)+~P29(x29383,x29384,x29385,x29386,x29381) % 242.40/242.49 [2939]~P147(x29391)+P147(x29392)+~E(x29391,x29392) % 242.40/242.49 [2940]~P102(x29401)+P102(x29402)+~E(x29401,x29402) % 242.40/242.49 [2941]~P114(x29411)+P114(x29412)+~E(x29411,x29412) % 242.40/242.49 [2942]~P5(x29421)+P5(x29422)+~E(x29421,x29422) % 242.40/242.49 [2943]~P6(x29431)+P6(x29432)+~E(x29431,x29432) % 242.40/242.49 [2944]~P103(x29441)+P103(x29442)+~E(x29441,x29442) % 242.40/242.49 [2945]P39(x29452,x29453,x29454,x29455,x29456)+~E(x29451,x29452)+~P39(x29451,x29453,x29454,x29455,x29456) % 242.40/242.49 [2946]P39(x29463,x29462,x29464,x29465,x29466)+~E(x29461,x29462)+~P39(x29463,x29461,x29464,x29465,x29466) % 242.40/242.49 [2947]P39(x29473,x29474,x29472,x29475,x29476)+~E(x29471,x29472)+~P39(x29473,x29474,x29471,x29475,x29476) % 242.40/242.49 [2948]P39(x29483,x29484,x29485,x29482,x29486)+~E(x29481,x29482)+~P39(x29483,x29484,x29485,x29481,x29486) % 242.40/242.49 [2949]P39(x29493,x29494,x29495,x29496,x29492)+~E(x29491,x29492)+~P39(x29493,x29494,x29495,x29496,x29491) % 242.40/242.49 [2950]P38(x29502,x29503,x29504)+~E(x29501,x29502)+~P38(x29501,x29503,x29504) % 242.40/242.49 [2951]P38(x29513,x29512,x29514)+~E(x29511,x29512)+~P38(x29513,x29511,x29514) % 242.40/242.49 [2952]P38(x29523,x29524,x29522)+~E(x29521,x29522)+~P38(x29523,x29524,x29521) % 242.40/242.49 [2953]~P96(x29531)+P96(x29532)+~E(x29531,x29532) % 242.40/242.49 [2954]~P88(x29541)+P88(x29542)+~E(x29541,x29542) % 242.40/242.49 [2955]~P45(x29551)+P45(x29552)+~E(x29551,x29552) % 242.40/242.49 [2956]~P81(x29561)+P81(x29562)+~E(x29561,x29562) % 242.40/242.49 [2957]P24(x29572,x29573,x29574,x29575,x29576)+~E(x29571,x29572)+~P24(x29571,x29573,x29574,x29575,x29576) % 242.40/242.49 [2958]P24(x29583,x29582,x29584,x29585,x29586)+~E(x29581,x29582)+~P24(x29583,x29581,x29584,x29585,x29586) % 242.40/242.49 [2959]P24(x29593,x29594,x29592,x29595,x29596)+~E(x29591,x29592)+~P24(x29593,x29594,x29591,x29595,x29596) % 242.40/242.49 [2960]P24(x29603,x29604,x29605,x29602,x29606)+~E(x29601,x29602)+~P24(x29603,x29604,x29605,x29601,x29606) % 242.40/242.49 [2961]P24(x29613,x29614,x29615,x29616,x29612)+~E(x29611,x29612)+~P24(x29613,x29614,x29615,x29616,x29611) % 242.40/242.49 [2962]P44(x29622,x29623)+~E(x29621,x29622)+~P44(x29621,x29623) % 242.40/242.49 [2963]P44(x29633,x29632)+~E(x29631,x29632)+~P44(x29633,x29631) % 242.40/242.49 [2964]~P70(x29641)+P70(x29642)+~E(x29641,x29642) % 242.40/242.49 [2965]P43(x29652,x29653)+~E(x29651,x29652)+~P43(x29651,x29653) % 242.40/242.49 [2966]P43(x29663,x29662)+~E(x29661,x29662)+~P43(x29663,x29661) % 242.40/242.49 [2967]~P126(x29671)+P126(x29672)+~E(x29671,x29672) % 242.40/242.49 [2968]~P7(x29681)+P7(x29682)+~E(x29681,x29682) % 242.40/242.49 [2969]~P8(x29691)+P8(x29692)+~E(x29691,x29692) % 242.40/242.49 [2970]~P89(x29701)+P89(x29702)+~E(x29701,x29702) % 242.40/242.49 [2971]~P99(x29711)+P99(x29712)+~E(x29711,x29712) % 242.40/242.49 [2972]~P78(x29721)+P78(x29722)+~E(x29721,x29722) % 242.40/242.49 [2973]~P90(x29731)+P90(x29732)+~E(x29731,x29732) % 242.40/242.49 [2974]~P92(x29741)+P92(x29742)+~E(x29741,x29742) % 242.40/242.49 [2975]P22(x29752,x29753,x29754,x29755)+~E(x29751,x29752)+~P22(x29751,x29753,x29754,x29755) % 242.40/242.49 [2976]P22(x29763,x29762,x29764,x29765)+~E(x29761,x29762)+~P22(x29763,x29761,x29764,x29765) % 242.40/242.49 [2977]P22(x29773,x29774,x29772,x29775)+~E(x29771,x29772)+~P22(x29773,x29774,x29771,x29775) % 242.40/242.49 [2978]P22(x29783,x29784,x29785,x29782)+~E(x29781,x29782)+~P22(x29783,x29784,x29785,x29781) % 242.40/242.49 [2979]P11(x29792,x29793,x29794)+~E(x29791,x29792)+~P11(x29791,x29793,x29794) % 242.40/242.49 [2980]P11(x29803,x29802,x29804)+~E(x29801,x29802)+~P11(x29803,x29801,x29804) % 242.40/242.49 [2981]P11(x29813,x29814,x29812)+~E(x29811,x29812)+~P11(x29813,x29814,x29811) % 242.40/242.49 [2982]P59(x29822,x29823,x29824)+~E(x29821,x29822)+~P59(x29821,x29823,x29824) % 242.40/242.49 [2983]P59(x29833,x29832,x29834)+~E(x29831,x29832)+~P59(x29833,x29831,x29834) % 242.40/242.49 [2984]P59(x29843,x29844,x29842)+~E(x29841,x29842)+~P59(x29843,x29844,x29841) % 242.40/242.49 [2985]P20(x29852,x29853,x29854)+~E(x29851,x29852)+~P20(x29851,x29853,x29854) % 242.40/242.49 [2986]P20(x29863,x29862,x29864)+~E(x29861,x29862)+~P20(x29863,x29861,x29864) % 242.40/242.49 [2987]P20(x29873,x29874,x29872)+~E(x29871,x29872)+~P20(x29873,x29874,x29871) % 242.40/242.49 [2988]~P84(x29881)+P84(x29882)+~E(x29881,x29882) % 242.40/242.49 [2989]P26(x29892,x29893,x29894,x29895,x29896,x29897)+~E(x29891,x29892)+~P26(x29891,x29893,x29894,x29895,x29896,x29897) % 242.40/242.49 [2990]P26(x29903,x29902,x29904,x29905,x29906,x29907)+~E(x29901,x29902)+~P26(x29903,x29901,x29904,x29905,x29906,x29907) % 242.40/242.49 [2991]P26(x29913,x29914,x29912,x29915,x29916,x29917)+~E(x29911,x29912)+~P26(x29913,x29914,x29911,x29915,x29916,x29917) % 242.40/242.49 [2992]P26(x29923,x29924,x29925,x29922,x29926,x29927)+~E(x29921,x29922)+~P26(x29923,x29924,x29925,x29921,x29926,x29927) % 242.40/242.49 [2993]P26(x29933,x29934,x29935,x29936,x29932,x29937)+~E(x29931,x29932)+~P26(x29933,x29934,x29935,x29936,x29931,x29937) % 242.40/242.49 [2994]P26(x29943,x29944,x29945,x29946,x29947,x29942)+~E(x29941,x29942)+~P26(x29943,x29944,x29945,x29946,x29947,x29941) % 242.40/242.49 [2995]P19(x29952,x29953,x29954)+~E(x29951,x29952)+~P19(x29951,x29953,x29954) % 242.40/242.49 [2996]P19(x29963,x29962,x29964)+~E(x29961,x29962)+~P19(x29963,x29961,x29964) % 242.40/242.49 [2997]P19(x29973,x29974,x29972)+~E(x29971,x29972)+~P19(x29973,x29974,x29971) % 242.40/242.49 [2998]~P75(x29981)+P75(x29982)+~E(x29981,x29982) % 242.40/242.49 [2999]P64(x29992,x29993)+~E(x29991,x29992)+~P64(x29991,x29993) % 242.40/242.49 [3000]P64(x30003,x30002)+~E(x30001,x30002)+~P64(x30003,x30001) % 242.40/242.49 [3001]P42(x30012,x30013)+~E(x30011,x30012)+~P42(x30011,x30013) % 242.40/242.49 [3002]P42(x30023,x30022)+~E(x30021,x30022)+~P42(x30023,x30021) % 242.40/242.49 [3003]~P76(x30031)+P76(x30032)+~E(x30031,x30032) % 242.40/242.49 [3004]P31(x30042,x30043,x30044)+~E(x30041,x30042)+~P31(x30041,x30043,x30044) % 242.40/242.49 [3005]P31(x30053,x30052,x30054)+~E(x30051,x30052)+~P31(x30053,x30051,x30054) % 242.40/242.49 [3006]P31(x30063,x30064,x30062)+~E(x30061,x30062)+~P31(x30063,x30064,x30061) % 242.40/242.49 [3007]P62(x30072,x30073,x30074)+~E(x30071,x30072)+~P62(x30071,x30073,x30074) % 242.40/242.49 [3008]P62(x30083,x30082,x30084)+~E(x30081,x30082)+~P62(x30083,x30081,x30084) % 242.40/242.49 [3009]P62(x30093,x30094,x30092)+~E(x30091,x30092)+~P62(x30093,x30094,x30091) % 242.40/242.49 [3010]~P77(x30101)+P77(x30102)+~E(x30101,x30102) % 242.40/242.49 [3011]~P80(x30111)+P80(x30112)+~E(x30111,x30112) % 242.40/242.49 [3012]P57(x30122,x30123)+~E(x30121,x30122)+~P57(x30121,x30123) % 242.40/242.49 [3013]P57(x30133,x30132)+~E(x30131,x30132)+~P57(x30133,x30131) % 242.40/242.49 [3014]~P127(x30141)+P127(x30142)+~E(x30141,x30142) % 242.40/242.49 [3015]~P9(x30151)+P9(x30152)+~E(x30151,x30152) % 242.40/242.49 [3016]P23(x30162,x30163,x30164,x30165)+~E(x30161,x30162)+~P23(x30161,x30163,x30164,x30165) % 242.40/242.49 [3017]P23(x30173,x30172,x30174,x30175)+~E(x30171,x30172)+~P23(x30173,x30171,x30174,x30175) % 242.40/242.49 [3018]P23(x30183,x30184,x30182,x30185)+~E(x30181,x30182)+~P23(x30183,x30184,x30181,x30185) % 242.40/242.49 [3019]P23(x30193,x30194,x30195,x30192)+~E(x30191,x30192)+~P23(x30193,x30194,x30195,x30191) % 242.40/242.49 [3020]~P93(x30201)+P93(x30202)+~E(x30201,x30202) % 242.40/242.49 [3021]P49(x30212,x30213)+~E(x30211,x30212)+~P49(x30211,x30213) % 242.40/242.49 [3022]P49(x30223,x30222)+~E(x30221,x30222)+~P49(x30223,x30221) % 242.40/242.49 [3023]P27(x30232,x30233,x30234)+~E(x30231,x30232)+~P27(x30231,x30233,x30234) % 242.40/242.49 [3024]P27(x30243,x30242,x30244)+~E(x30241,x30242)+~P27(x30243,x30241,x30244) % 242.40/242.49 [3025]P27(x30253,x30254,x30252)+~E(x30251,x30252)+~P27(x30253,x30254,x30251) % 242.40/242.49 [3026]~P85(x30261)+P85(x30262)+~E(x30261,x30262) % 242.40/242.49 [3027]P55(x30272,x30273,x30274,x30275)+~E(x30271,x30272)+~P55(x30271,x30273,x30274,x30275) % 242.40/242.49 [3028]P55(x30283,x30282,x30284,x30285)+~E(x30281,x30282)+~P55(x30283,x30281,x30284,x30285) % 242.40/242.49 [3029]P55(x30293,x30294,x30292,x30295)+~E(x30291,x30292)+~P55(x30293,x30294,x30291,x30295) % 242.40/242.49 [3030]P55(x30303,x30304,x30305,x30302)+~E(x30301,x30302)+~P55(x30303,x30304,x30305,x30301) % 242.40/242.49 [3031]P36(x30312,x30313,x30314)+~E(x30311,x30312)+~P36(x30311,x30313,x30314) % 242.40/242.49 [3032]P36(x30323,x30322,x30324)+~E(x30321,x30322)+~P36(x30323,x30321,x30324) % 242.40/242.49 [3033]P36(x30333,x30334,x30332)+~E(x30331,x30332)+~P36(x30333,x30334,x30331) % 242.40/242.49 [3034]~P141(x30341)+P141(x30342)+~E(x30341,x30342) % 242.40/242.49 [3035]~P142(x30351)+P142(x30352)+~E(x30351,x30352) % 242.40/242.49 [3036]~P91(x30361)+P91(x30362)+~E(x30361,x30362) % 242.40/242.49 [3037]~P116(x30371)+P116(x30372)+~E(x30371,x30372) % 242.40/242.49 [3038]~P82(x30381)+P82(x30382)+~E(x30381,x30382) % 242.40/242.49 [3039]~P122(x30391)+P122(x30392)+~E(x30391,x30392) % 242.40/242.49 [3040]P17(x30402,x30403,x30404)+~E(x30401,x30402)+~P17(x30401,x30403,x30404) % 242.40/242.49 [3041]P17(x30413,x30412,x30414)+~E(x30411,x30412)+~P17(x30413,x30411,x30414) % 242.40/242.49 [3042]P17(x30423,x30424,x30422)+~E(x30421,x30422)+~P17(x30423,x30424,x30421) % 242.40/242.49 [3043]P63(x30432,x30433,x30434,x30435,x30436)+~E(x30431,x30432)+~P63(x30431,x30433,x30434,x30435,x30436) % 242.40/242.49 [3044]P63(x30443,x30442,x30444,x30445,x30446)+~E(x30441,x30442)+~P63(x30443,x30441,x30444,x30445,x30446) % 242.40/242.49 [3045]P63(x30453,x30454,x30452,x30455,x30456)+~E(x30451,x30452)+~P63(x30453,x30454,x30451,x30455,x30456) % 242.40/242.49 [3046]P63(x30463,x30464,x30465,x30462,x30466)+~E(x30461,x30462)+~P63(x30463,x30464,x30465,x30461,x30466) % 242.40/242.49 [3047]P63(x30473,x30474,x30475,x30476,x30472)+~E(x30471,x30472)+~P63(x30473,x30474,x30475,x30476,x30471) % 242.40/242.49 [3048]~P131(x30481)+P131(x30482)+~E(x30481,x30482) % 242.40/242.49 [3049]P10(x30492,x30493)+~E(x30491,x30492)+~P10(x30491,x30493) % 242.40/242.49 [3050]P10(x30503,x30502)+~E(x30501,x30502)+~P10(x30503,x30501) % 242.40/242.49 [3051]~P148(x30511)+P148(x30512)+~E(x30511,x30512) % 242.40/242.49 [3052]~P69(x30521)+P69(x30522)+~E(x30521,x30522) % 242.40/242.49 [3053]~P94(x30531)+P94(x30532)+~E(x30531,x30532) % 242.40/242.49 [3054]P15(x30542,x30543,x30544,x30545,x30546,x30547)+~E(x30541,x30542)+~P15(x30541,x30543,x30544,x30545,x30546,x30547) % 242.40/242.49 [3055]P15(x30553,x30552,x30554,x30555,x30556,x30557)+~E(x30551,x30552)+~P15(x30553,x30551,x30554,x30555,x30556,x30557) % 242.40/242.49 [3056]P15(x30563,x30564,x30562,x30565,x30566,x30567)+~E(x30561,x30562)+~P15(x30563,x30564,x30561,x30565,x30566,x30567) % 242.40/242.49 [3057]P15(x30573,x30574,x30575,x30572,x30576,x30577)+~E(x30571,x30572)+~P15(x30573,x30574,x30575,x30571,x30576,x30577) % 242.40/242.49 [3058]P15(x30583,x30584,x30585,x30586,x30582,x30587)+~E(x30581,x30582)+~P15(x30583,x30584,x30585,x30586,x30581,x30587) % 242.40/242.49 [3059]P15(x30593,x30594,x30595,x30596,x30597,x30592)+~E(x30591,x30592)+~P15(x30593,x30594,x30595,x30596,x30597,x30591) % 242.40/242.49 [3060]~P97(x30601)+P97(x30602)+~E(x30601,x30602) % 242.40/242.49 [3061]P58(x30612,x30613)+~E(x30611,x30612)+~P58(x30611,x30613) % 242.40/242.49 [3062]P58(x30623,x30622)+~E(x30621,x30622)+~P58(x30623,x30621) % 242.40/242.49 [3063]P21(x30632,x30633,x30634)+~E(x30631,x30632)+~P21(x30631,x30633,x30634) % 242.40/242.49 [3064]P21(x30643,x30642,x30644)+~E(x30641,x30642)+~P21(x30643,x30641,x30644) % 242.40/242.49 [3065]P21(x30653,x30654,x30652)+~E(x30651,x30652)+~P21(x30653,x30654,x30651) % 242.40/242.49 [3066]~P41(x30661)+P41(x30662)+~E(x30661,x30662) % 242.40/242.49 [3067]~P139(x30671)+P139(x30672)+~E(x30671,x30672) % 242.40/242.49 [3068]~P100(x30681)+P100(x30682)+~E(x30681,x30682) % 242.40/242.49 [3069]~P135(x30691)+P135(x30692)+~E(x30691,x30692) % 242.40/242.49 [3070]~P130(x30701)+P130(x30702)+~E(x30701,x30702) % 242.40/242.49 [3071]P54(x30712,x30713,x30714)+~E(x30711,x30712)+~P54(x30711,x30713,x30714) % 242.40/242.49 [3072]P54(x30723,x30722,x30724)+~E(x30721,x30722)+~P54(x30723,x30721,x30724) % 242.40/242.49 [3073]P54(x30733,x30734,x30732)+~E(x30731,x30732)+~P54(x30733,x30734,x30731) % 242.40/242.49 [3074]~P86(x30741)+P86(x30742)+~E(x30741,x30742) % 242.40/242.49 [3075]~P143(x30751)+P143(x30752)+~E(x30751,x30752) % 242.40/242.49 [3076]~P108(x30761)+P108(x30762)+~E(x30761,x30762) % 242.40/242.49 [3077]~P67(x30771)+P67(x30772)+~E(x30771,x30772) % 242.40/242.49 [3078]~P101(x30781)+P101(x30782)+~E(x30781,x30782) % 242.40/242.49 [3079]~P120(x30791)+P120(x30792)+~E(x30791,x30792) % 242.40/242.49 [3080]~P95(x30801)+P95(x30802)+~E(x30801,x30802) % 242.40/242.49 [3081]P60(x30812,x30813)+~E(x30811,x30812)+~P60(x30811,x30813) % 242.40/242.49 [3082]P60(x30823,x30822)+~E(x30821,x30822)+~P60(x30823,x30821) % 242.40/242.49 [3083]~P145(x30831)+P145(x30832)+~E(x30831,x30832) % 242.40/242.49 [3084]P50(x30842,x30843)+~E(x30841,x30842)+~P50(x30841,x30843) % 242.40/242.49 [3085]P50(x30853,x30852)+~E(x30851,x30852)+~P50(x30853,x30851) % 242.40/242.49 [3086]P56(x30862,x30863)+~E(x30861,x30862)+~P56(x30861,x30863) % 242.40/242.49 [3087]P56(x30873,x30872)+~E(x30871,x30872)+~P56(x30873,x30871) % 242.40/242.49 [3088]P14(x30882,x30883,x30884,x30885)+~E(x30881,x30882)+~P14(x30881,x30883,x30884,x30885) % 242.40/242.49 [3089]P14(x30893,x30892,x30894,x30895)+~E(x30891,x30892)+~P14(x30893,x30891,x30894,x30895) % 242.40/242.49 [3090]P14(x30903,x30904,x30902,x30905)+~E(x30901,x30902)+~P14(x30903,x30904,x30901,x30905) % 242.40/242.49 [3091]P14(x30913,x30914,x30915,x30912)+~E(x30911,x30912)+~P14(x30913,x30914,x30915,x30911) % 242.40/242.49 [3092]P30(x30922,x30923)+~E(x30921,x30922)+~P30(x30921,x30923) % 242.40/242.49 [3093]P30(x30933,x30932)+~E(x30931,x30932)+~P30(x30933,x30931) % 242.40/242.49 [3094]~P140(x30941)+P140(x30942)+~E(x30941,x30942) % 242.40/242.49 [3095]~P121(x30951)+P121(x30952)+~E(x30951,x30952) % 242.40/242.49 [3096]~P146(x30961)+P146(x30962)+~E(x30961,x30962) % 242.40/242.49 [3097]~P133(x30971)+P133(x30972)+~E(x30971,x30972) % 242.40/242.49 [3098]P66(x30982,x30983)+~E(x30981,x30982)+~P66(x30981,x30983) % 242.40/242.49 [3099]P66(x30993,x30992)+~E(x30991,x30992)+~P66(x30993,x30991) % 242.40/242.49 [3100]~P128(x31001)+P128(x31002)+~E(x31001,x31002) % 242.40/242.49 [3101]P12(x31012,x31013,x31014)+~E(x31011,x31012)+~P12(x31011,x31013,x31014) % 242.40/242.49 [3102]P12(x31023,x31022,x31024)+~E(x31021,x31022)+~P12(x31023,x31021,x31024) % 242.40/242.49 [3103]P12(x31033,x31034,x31032)+~E(x31031,x31032)+~P12(x31033,x31034,x31031) % 242.40/242.49 [3104]~P136(x31041)+P136(x31042)+~E(x31041,x31042) % 242.40/242.49 [3105]~P125(x31051)+P125(x31052)+~E(x31051,x31052) % 242.40/242.49 [3106]~P123(x31061)+P123(x31062)+~E(x31061,x31062) % 242.40/242.49 [3107]P25(x31072,x31073,x31074,x31075,x31076,x31077)+~E(x31071,x31072)+~P25(x31071,x31073,x31074,x31075,x31076,x31077) % 242.40/242.49 [3108]P25(x31083,x31082,x31084,x31085,x31086,x31087)+~E(x31081,x31082)+~P25(x31083,x31081,x31084,x31085,x31086,x31087) % 242.40/242.49 [3109]P25(x31093,x31094,x31092,x31095,x31096,x31097)+~E(x31091,x31092)+~P25(x31093,x31094,x31091,x31095,x31096,x31097) % 242.40/242.49 [3110]P25(x31103,x31104,x31105,x31102,x31106,x31107)+~E(x31101,x31102)+~P25(x31103,x31104,x31105,x31101,x31106,x31107) % 242.40/242.49 [3111]P25(x31113,x31114,x31115,x31116,x31112,x31117)+~E(x31111,x31112)+~P25(x31113,x31114,x31115,x31116,x31111,x31117) % 242.40/242.49 [3112]P25(x31123,x31124,x31125,x31126,x31127,x31122)+~E(x31121,x31122)+~P25(x31123,x31124,x31125,x31126,x31127,x31121) % 242.40/242.49 [3113]P61(x31132,x31133,x31134)+~E(x31131,x31132)+~P61(x31131,x31133,x31134) % 242.40/242.49 [3114]P61(x31143,x31142,x31144)+~E(x31141,x31142)+~P61(x31143,x31141,x31144) % 242.40/242.49 [3115]P61(x31153,x31154,x31152)+~E(x31151,x31152)+~P61(x31153,x31154,x31151) % 242.40/242.49 [3116]P48(x31162,x31163,x31164,x31165,x31166,x31167)+~E(x31161,x31162)+~P48(x31161,x31163,x31164,x31165,x31166,x31167) % 242.40/242.49 [3117]P48(x31173,x31172,x31174,x31175,x31176,x31177)+~E(x31171,x31172)+~P48(x31173,x31171,x31174,x31175,x31176,x31177) % 242.40/242.49 [3118]P48(x31183,x31184,x31182,x31185,x31186,x31187)+~E(x31181,x31182)+~P48(x31183,x31184,x31181,x31185,x31186,x31187) % 242.40/242.49 [3119]P48(x31193,x31194,x31195,x31192,x31196,x31197)+~E(x31191,x31192)+~P48(x31193,x31194,x31195,x31191,x31196,x31197) % 242.40/242.49 [3120]P48(x31203,x31204,x31205,x31206,x31202,x31207)+~E(x31201,x31202)+~P48(x31203,x31204,x31205,x31206,x31201,x31207) % 242.40/242.49 [3121]P48(x31213,x31214,x31215,x31216,x31217,x31212)+~E(x31211,x31212)+~P48(x31213,x31214,x31215,x31216,x31217,x31211) % 242.40/242.49 [3122]~P117(x31221)+P117(x31222)+~E(x31221,x31222) % 242.40/242.49 [3123]~P138(x31231)+P138(x31232)+~E(x31231,x31232) % 242.40/242.49 [3124]~P107(x31241)+P107(x31242)+~E(x31241,x31242) % 242.40/242.49 [3125]P32(x31252,x31253,x31254)+~E(x31251,x31252)+~P32(x31251,x31253,x31254) % 242.40/242.49 [3126]P32(x31263,x31262,x31264)+~E(x31261,x31262)+~P32(x31263,x31261,x31264) % 242.40/242.49 [3127]P32(x31273,x31274,x31272)+~E(x31271,x31272)+~P32(x31273,x31274,x31271) % 242.40/242.49 [3128]~P124(x31281)+P124(x31282)+~E(x31281,x31282) % 242.40/242.49 [3129]P13(x31292,x31293,x31294,x31295,x31296)+~E(x31291,x31292)+~P13(x31291,x31293,x31294,x31295,x31296) % 242.40/242.49 [3130]P13(x31303,x31302,x31304,x31305,x31306)+~E(x31301,x31302)+~P13(x31303,x31301,x31304,x31305,x31306) % 242.40/242.49 [3131]P13(x31313,x31314,x31312,x31315,x31316)+~E(x31311,x31312)+~P13(x31313,x31314,x31311,x31315,x31316) % 242.40/242.49 [3132]P13(x31323,x31324,x31325,x31322,x31326)+~E(x31321,x31322)+~P13(x31323,x31324,x31325,x31321,x31326) % 242.40/242.49 [3133]P13(x31333,x31334,x31335,x31336,x31332)+~E(x31331,x31332)+~P13(x31333,x31334,x31335,x31336,x31331) % 242.40/242.49 [3134]~P134(x31341)+P134(x31342)+~E(x31341,x31342) % 242.40/242.49 [3135]~P109(x31351)+P109(x31352)+~E(x31351,x31352) % 242.40/242.49 [3136]~P144(x31361)+P144(x31362)+~E(x31361,x31362) % 242.40/242.49 [3137]~P51(x31371)+P51(x31372)+~E(x31371,x31372) % 242.40/242.49 [3138]P47(x31382,x31383,x31384,x31385)+~E(x31381,x31382)+~P47(x31381,x31383,x31384,x31385) % 242.40/242.49 [3139]P47(x31393,x31392,x31394,x31395)+~E(x31391,x31392)+~P47(x31393,x31391,x31394,x31395) % 242.40/242.49 [3140]P47(x31403,x31404,x31402,x31405)+~E(x31401,x31402)+~P47(x31403,x31404,x31401,x31405) % 242.40/242.49 [3141]P47(x31413,x31414,x31415,x31412)+~E(x31411,x31412)+~P47(x31413,x31414,x31415,x31411) % 242.40/242.49 [3142]~P132(x31421)+P132(x31422)+~E(x31421,x31422) % 242.40/242.49 [3143]P53(x31432,x31433,x31434)+~E(x31431,x31432)+~P53(x31431,x31433,x31434) % 242.40/242.49 [3144]P53(x31443,x31442,x31444)+~E(x31441,x31442)+~P53(x31443,x31441,x31444) % 242.40/242.49 [3145]P53(x31453,x31454,x31452)+~E(x31451,x31452)+~P53(x31453,x31454,x31451) % 242.40/242.49 [3146]P34(x31462,x31463,x31464)+~E(x31461,x31462)+~P34(x31461,x31463,x31464) % 242.40/242.49 [3147]P34(x31473,x31472,x31474)+~E(x31471,x31472)+~P34(x31473,x31471,x31474) % 242.40/242.49 [3148]P34(x31483,x31484,x31482)+~E(x31481,x31482)+~P34(x31483,x31484,x31481) % 242.40/242.49 [3149]~P79(x31491)+P79(x31492)+~E(x31491,x31492) % 242.40/242.49 [3150]~P118(x31501)+P118(x31502)+~E(x31501,x31502) % 242.40/242.49 [3151]P52(x31512,x31513)+~E(x31511,x31512)+~P52(x31511,x31513) % 242.40/242.49 [3152]P52(x31523,x31522)+~E(x31521,x31522)+~P52(x31523,x31521) % 242.40/242.49 % 242.40/242.49 %------------------------------------------- % 242.47/242.52 cnf(10530,plain, % 242.47/242.52 (~E(f330(a115,x105301),x105301)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10539,plain, % 242.47/242.52 (~E(f330(f171(x105391),f330(a115,f330(f171(x105391),x105392))),x105392)), % 242.47/242.52 inference(scs_inference,[],[4710,10530,3342,3380,3392,4776,4810,4836,4892,4896,4924,4939])). % 242.47/242.52 cnf(10540,plain, % 242.47/242.52 (~E(f330(a115,x105401),x105401)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10553,plain, % 242.47/242.52 (~E(f330(a115,x105531),x105531)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10558,plain, % 242.47/242.52 (~P1(f330(f330(f175(x105581),f116(x105581)),x105582))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10561,plain, % 242.47/242.52 (~P1(f330(f330(f175(x105611),f116(x105611)),x105612))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10564,plain, % 242.47/242.52 (~E(f330(a115,x105641),x105641)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10567,plain, % 242.47/242.52 (~E(f330(a115,x105671),x105671)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10570,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x105701),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(10573,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x105731),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(10590,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x105901)),x105901))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(10593,plain, % 242.47/242.52 (~E(f330(f330(f154(x105931),x105932),x105933),x105933)), % 242.47/242.52 inference(rename_variables,[],[4733])). % 242.47/242.52 cnf(10599,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x105991),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(10602,plain, % 242.47/242.52 (E(f330(f288(x106021,x106021),f267(x106021,x106022)),x106022)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(10605,plain, % 242.47/242.52 (E(f330(f288(x106051,x106051),f267(x106051,x106052)),x106052)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(10610,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x106101),x106101))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(10615,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x106151),x106152)),x106152))), % 242.47/242.52 inference(rename_variables,[],[4793])). % 242.47/242.52 cnf(10618,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x106181),x106182)),x106182))), % 242.47/242.52 inference(rename_variables,[],[4793])). % 242.47/242.52 cnf(10625,plain, % 242.47/242.52 (~E(x106251,f330(a115,x106251))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,3342,3510,10602,3386,3450,3380,3408,3392,4733,3618,3533,4773,10570,10573,4770,4728,4778,10558,4769,4779,4373,4776,3526,4762,4795,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409])). % 242.47/242.52 cnf(10639,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x106391),x106391))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(10642,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f47(a930,x106421,x106422)),x106421))), % 242.47/242.52 inference(rename_variables,[],[4008])). % 242.47/242.52 cnf(10663,plain, % 242.47/242.52 (E(f330(f37(a930),f330(f286(a930),x106631)),x106631)), % 242.47/242.52 inference(rename_variables,[],[3445])). % 242.47/242.52 cnf(10671,plain, % 242.47/242.52 (~E(f330(a115,x106711),x106711)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10674,plain, % 242.47/242.52 (~E(f330(a115,x106741),x106741)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10677,plain, % 242.47/242.52 (~E(f330(a115,x106771),x106771)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10682,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x106821),f330(a115,x106821)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(10684,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x106841),f330(a115,x106841)))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,3342,3510,10602,3386,3450,3380,3408,3392,3480,4733,3445,4798,3465,3618,3533,4773,10570,10573,4137,3553,4770,4728,4778,10558,4769,10610,10639,3643,4071,4008,4779,10590,4373,4776,4761,3526,4762,4795,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564])). % 242.47/242.52 cnf(10691,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x106911),x106911))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(10698,plain, % 242.47/242.52 (E(f330(f288(x106981,x106981),f267(x106981,x106982)),x106982)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(10701,plain, % 242.47/242.52 (E(f330(f288(x107011,x107011),f267(x107011,x107012)),x107012)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(10722,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x107221),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(10725,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x107251,a925)),x107252),f246(f937(x107251,a925))))), % 242.47/242.52 inference(rename_variables,[],[3933])). % 242.47/242.52 cnf(10729,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),f2(a1)),f337(f330(f175(x107291),f116(x107291)))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,3480,4733,3445,4332,4798,3465,3618,10682,3533,4773,10570,10573,10599,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,4282,3933,3550,4769,10610,10639,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,4762,4795,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655])). % 242.47/242.52 cnf(10730,plain, % 242.47/242.52 (~P1(f330(f330(f175(x107301),f116(x107301)),x107302))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10759,plain, % 242.47/242.52 (~E(f330(f330(f154(x107591),x107592),x107593),x107593)), % 242.47/242.52 inference(rename_variables,[],[4733])). % 242.47/242.52 cnf(10762,plain, % 242.47/242.52 (~E(f330(a26,x107621),f32(x107622,x107623))), % 242.47/242.52 inference(rename_variables,[],[4723])). % 242.47/242.52 cnf(10773,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),x107731),x107731))), % 242.47/242.52 inference(rename_variables,[],[3552])). % 242.47/242.52 cnf(10778,plain, % 242.47/242.52 (~E(f330(a115,x107781),x107781)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10781,plain, % 242.47/242.52 (~P1(f330(f330(f191(f937(x107811,f937(x107812,a925))),x107813),x107814))), % 242.47/242.52 inference(rename_variables,[],[4796])). % 242.47/242.52 cnf(10788,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x107881),x107881))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(10792,plain, % 242.47/242.52 (~E(f330(f171(x107921),f330(f330(f154(x107921),x107922),x107923)),f116(x107921))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,4723,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,3480,4733,10593,3445,4332,4798,3465,3914,3618,10682,3533,4773,10570,10573,10599,10722,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,4282,3933,3550,10691,3551,3552,4769,10610,10639,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,3530,4762,4795,4796,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894])). % 242.47/242.52 cnf(10801,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x108011),f330(a115,x108011)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(10822,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x108221,a925)),x108222),f246(f937(x108221,a925))))), % 242.47/242.52 inference(rename_variables,[],[3933])). % 242.47/242.52 cnf(10825,plain, % 242.47/242.52 (~P1(f330(f330(f175(x108251),f116(x108251)),x108252))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10835,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x108351),f330(a115,f330(a115,x108351))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,4723,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,4332,4798,3465,3914,3618,10682,10801,3533,4773,10570,10573,10599,10722,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,4282,3933,10725,3550,10691,3551,3552,4769,10610,10639,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,3530,4763,4762,4795,4796,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992])). % 242.47/242.52 cnf(10844,plain, % 242.47/242.52 (~P1(f330(f330(f175(x108441),f116(x108441)),x108442))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10850,plain, % 242.47/242.52 (E(f70(x108501,x108502,f330(f175(x108503),f116(x108503))),x108502)), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,4723,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,4332,4798,3465,3914,3618,10682,10801,3533,4773,10570,10573,10599,10722,4786,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,4282,3933,10725,3550,10691,3551,3552,4769,10610,10639,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,3530,4763,4762,4795,4796,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043])). % 242.47/242.52 cnf(10851,plain, % 242.47/242.52 (~P1(f330(f330(f175(x108511),f116(x108511)),x108512))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10864,plain, % 242.47/242.52 (~E(f330(a26,x108641),f32(x108642,x108643))), % 242.47/242.52 inference(rename_variables,[],[4723])). % 242.47/242.52 cnf(10869,plain, % 242.47/242.52 (P1(f330(f330(f332(x108691),x108692),f246(f937(x108691,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(10873,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),f2(a930)),f330(a107,f80(a1))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,4723,10762,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,4332,4798,3465,3914,3618,10682,10801,3533,4773,10570,10573,10599,10722,4786,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,4282,3933,10725,3550,10691,3551,3552,4769,10610,10639,3703,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,3530,4763,4762,4795,4796,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133])). % 242.47/242.52 cnf(10876,plain, % 242.47/242.52 (~P1(f330(f330(f175(x108761),f116(x108761)),x108762))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10881,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x108811),f330(a115,x108811)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(10884,plain, % 242.47/242.52 (~P1(f330(f330(f175(x108841),f116(x108841)),x108842))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10887,plain, % 242.47/242.52 (~P1(f330(f330(f175(x108871),f116(x108871)),x108872))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10890,plain, % 242.47/242.52 (~P1(f330(f64(x108901,x108902,f191(f937(x108901,a925))),x108903))), % 242.47/242.52 inference(rename_variables,[],[4792])). % 242.47/242.52 cnf(10893,plain, % 242.47/242.52 (~P1(f330(f64(x108931,x108932,f191(f937(x108931,a925))),x108933))), % 242.47/242.52 inference(rename_variables,[],[4792])). % 242.47/242.52 cnf(10896,plain, % 242.47/242.52 (~P1(f330(f330(f191(f937(x108961,f937(x108962,a925))),x108963),x108964))), % 242.47/242.52 inference(rename_variables,[],[4796])). % 242.47/242.52 cnf(10899,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x108991),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(10904,plain, % 242.47/242.52 (~P1(f330(f330(f175(x109041),f116(x109041)),x109042))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(10914,plain, % 242.47/242.52 (~E(f330(f171(x109141),f330(a115,f330(f330(f137(x109141),f330(f171(x109141),x109142)),f330(f330(f154(x109141),x109143),f116(x109141))))),f330(f330(f154(x109141),x109143),x109142))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,4332,4798,3465,3914,3618,10682,10801,10881,3533,4773,10570,10573,10599,10722,4786,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,4282,3933,10725,3550,10691,3551,3552,4769,10610,10639,3703,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,3530,4763,4762,4792,10890,4795,4796,10781,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249])). % 242.47/242.52 cnf(10915,plain, % 242.47/242.52 (~E(f330(a115,x109151),x109151)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(10933,plain, % 242.47/242.52 (P1(f330(f330(f240(a102),f330(a3,x109331)),f330(a3,f330(a115,x109331))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,4332,4798,3465,3914,3618,10682,10801,10881,4003,3533,4773,10570,10573,10599,10722,4786,3990,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,4282,3933,10725,3550,10691,3551,3552,4769,10610,10639,3703,3643,4071,4008,10642,4779,10590,4373,4776,4761,3526,3530,4763,4762,4792,10890,4795,4796,10781,4031,4793,10615,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331])). % 242.47/242.52 cnf(10940,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x109401),x109401))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(10943,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x109431),f330(f330(f83(a930),x109431),x109431)))), % 242.47/242.52 inference(rename_variables,[],[3815])). % 242.47/242.52 cnf(10946,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x109461),f330(f330(f83(a930),x109461),x109461)))), % 242.47/242.52 inference(rename_variables,[],[3815])). % 242.47/242.52 cnf(10949,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x109491),f330(a115,f330(f330(f82(a930),x109492),x109491))))), % 242.47/242.52 inference(rename_variables,[],[4001])). % 242.47/242.52 cnf(10954,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x109541),f330(a115,x109541)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(10957,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x109571),f330(a115,x109571)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(10960,plain, % 242.47/242.52 (P1(f330(f330(f332(x109601),x109602),f246(f937(x109601,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(10979,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x109791)),x109791))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(10982,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x109821)),x109821))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(10985,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x109851),x109852)),x109852))), % 242.47/242.52 inference(rename_variables,[],[4793])). % 242.47/242.52 cnf(10988,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x109881),x109882)),x109882))), % 242.47/242.52 inference(rename_variables,[],[4793])). % 242.47/242.52 cnf(10991,plain, % 242.47/242.52 (P1(f330(f246(f937(x109911,a925)),x109912))), % 242.47/242.52 inference(rename_variables,[],[3611])). % 242.47/242.52 cnf(10994,plain, % 242.47/242.52 (E(f330(f37(a930),f330(f286(a930),x109941)),x109941)), % 242.47/242.52 inference(rename_variables,[],[3445])). % 242.47/242.52 cnf(10997,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x109971),f330(a115,x109971)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(11004,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x110041),x110041))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(11008,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f330(f106(a930),a85)),f330(f106(a930),x110081)))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,10663,4332,4798,3465,3914,3851,3618,10682,10801,10881,10954,10957,4003,3533,4773,10570,10573,10599,10722,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,4282,3933,10725,3550,10691,10788,10940,3551,3552,10773,4769,10610,10639,3703,10869,3611,3643,4071,4008,10642,4779,10590,10979,4373,4776,4761,3526,3530,4763,4762,4792,10890,4797,3815,10943,4795,4796,10781,4031,4793,10615,10618,10985,4001,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516])). % 242.47/242.52 cnf(11009,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),x110091),x110091))), % 242.47/242.52 inference(rename_variables,[],[3552])). % 242.47/242.52 cnf(11018,plain, % 242.47/242.52 (E(f330(f288(x110181,x110181),f267(x110181,x110182)),x110182)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(11021,plain, % 242.47/242.52 (P1(f330(f246(f937(x110211,a925)),x110212))), % 242.47/242.52 inference(rename_variables,[],[3611])). % 242.47/242.52 cnf(11024,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f2(a930)),x110241))), % 242.47/242.52 inference(rename_variables,[],[3571])). % 242.47/242.52 cnf(11027,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x110271,a925)),f191(f937(x110271,a925))),x110272))), % 242.47/242.52 inference(rename_variables,[],[4000])). % 242.47/242.52 cnf(11030,plain, % 242.47/242.52 (P1(f330(f246(f937(x110301,a925)),x110302))), % 242.47/242.52 inference(rename_variables,[],[3611])). % 242.47/242.52 cnf(11033,plain, % 242.47/242.52 (P1(f330(f246(f937(x110331,a925)),x110332))), % 242.47/242.52 inference(rename_variables,[],[3611])). % 242.47/242.52 cnf(11036,plain, % 242.47/242.52 (P1(f330(f246(f937(x110361,a925)),x110362))), % 242.47/242.52 inference(rename_variables,[],[3611])). % 242.47/242.52 cnf(11039,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x110391),f330(f330(f83(a930),x110391),x110391)))), % 242.47/242.52 inference(rename_variables,[],[3815])). % 242.47/242.52 cnf(11056,plain, % 242.47/242.52 (~P1(f330(f330(f240(a102),f330(a3,x110561)),f330(a3,f2(a930))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,10663,4332,4798,3465,3914,3851,3618,10682,10801,10881,10954,10957,10997,4003,3533,4773,10570,10573,10599,10722,10899,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,4282,3933,10725,3550,10691,10788,10940,3551,3552,10773,4769,10610,10639,3703,10869,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,4373,4776,4761,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,4795,4796,10781,4031,4793,10615,10618,10985,4001,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613])). % 242.47/242.52 cnf(11081,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x110811),x110811))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11092,plain, % 242.47/242.52 (~P1(f330(f330(f175(x110921),f116(x110921)),x110922))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(11103,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x111031),f330(a115,x111031)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(11105,plain, % 242.47/242.52 (P1(f330(f330(f240(a1),f330(f330(f23(a1),x111051),f80(a1))),x111051))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3480,4733,10593,3445,10663,4332,4189,4798,3465,3914,3851,3618,10682,10801,10881,10954,10957,10997,4003,3533,4773,10570,10573,10599,10722,10899,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4282,3933,10725,3550,10691,10788,10940,3551,11081,3552,10773,11009,4769,10610,10639,3703,10869,4782,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,4373,4776,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,4795,4796,10781,4031,4793,10615,10618,10985,4001,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876])). % 242.47/242.52 cnf(11106,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),x111061),x111061))), % 242.47/242.52 inference(rename_variables,[],[3552])). % 242.47/242.52 cnf(11111,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x111111),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(11124,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x111241),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(11127,plain, % 242.47/242.52 (~P1(f330(f330(f240(f937(x111271,a925)),x111272),f191(f937(x111271,a925))))), % 242.47/242.52 inference(rename_variables,[],[4790])). % 242.47/242.52 cnf(11130,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x111301),x111301))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11133,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x111331),x111331))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11148,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x111481),x111481))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(11157,plain, % 242.47/242.52 (~P1(f330(f330(f332(x111571),x111572),f191(f937(x111571,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11164,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x111641),x111641))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11167,plain, % 242.47/242.52 (~P1(f330(f330(f332(x111671),x111672),f191(f937(x111671,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11170,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x111701,a925)),f330(f313(x111702,x111701,x111703),f330(f314(x111702,x111701,x111703),x111704))),x111704))), % 242.47/242.52 inference(rename_variables,[],[4428])). % 242.47/242.52 cnf(11179,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x111791,a925)),f330(f175(x111791),f330(f139(x111791,x111792),x111793))),f330(f175(x111791),x111793)))), % 242.47/242.52 inference(rename_variables,[],[4198])). % 242.47/242.52 cnf(11182,plain, % 242.47/242.52 (E(f330(f313(x111821,x111821,f5(x111821)),x111822),x111822)), % 242.47/242.52 inference(rename_variables,[],[3607])). % 242.47/242.52 cnf(11187,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f2(a930)),x111871))), % 242.47/242.52 inference(rename_variables,[],[3571])). % 242.47/242.52 cnf(11190,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x111901),x111901))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11193,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x111931),x111931))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(11199,plain, % 242.47/242.52 (E(f330(f330(f137(a930),f142(a930,f330(f305(a930,x111991),x111991))),f330(f330(f154(a930),x111991),f116(a930))),f142(a930,f330(f305(a930,x111991),f330(a115,x111991))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,3552,10773,11009,4769,10610,10639,11148,3703,10869,4782,11157,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,4373,4776,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429])). % 242.47/242.52 cnf(11202,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x112021),x112021))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(11213,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x112131),f330(f330(f83(a930),x112131),x112131)))), % 242.47/242.52 inference(rename_variables,[],[3815])). % 242.47/242.52 cnf(11219,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x112191),f330(a115,f330(f330(f82(a930),x112192),x112191))))), % 242.47/242.52 inference(rename_variables,[],[4001])). % 242.47/242.52 cnf(11225,plain, % 242.47/242.52 (~E(x112251,f330(f330(f154(x112252),x112253),x112251))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,3552,10773,11009,4769,10610,10639,11148,11193,3703,10869,4782,11157,11167,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,4373,4776,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617])). % 242.47/242.52 cnf(11226,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x112261),x112261))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11228,plain, % 242.47/242.52 (P1(f330(f330(f240(a1),x112281),f330(f330(f82(a1),x112281),f80(a1))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,4782,11157,11167,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,4373,4776,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666])). % 242.47/242.52 cnf(11229,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),x112291),x112291))), % 242.47/242.52 inference(rename_variables,[],[3552])). % 242.47/242.52 cnf(11231,plain, % 242.47/242.52 (~E(f330(f74(x112311,x112312,x112313,a115),x112314),x112314)), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,4782,11157,11167,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,4373,4776,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676])). % 242.47/242.52 cnf(11232,plain, % 242.47/242.52 (~E(f330(a115,x112321),x112321)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11236,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(x112361,x112361)),x112362),f310(x112361,f246(f937(f936(x112361,x112361),a925)))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,4782,11157,11167,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,4373,4776,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697])). % 242.47/242.52 cnf(11237,plain, % 242.47/242.52 (P1(f330(f330(f332(x112371),x112372),f246(f937(x112371,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11242,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x112421),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(11253,plain, % 242.47/242.52 (~E(f330(a115,x112531),f2(a930))), % 242.47/242.52 inference(rename_variables,[],[4720])). % 242.47/242.52 cnf(11260,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f2(a930)),x112601))), % 242.47/242.52 inference(rename_variables,[],[3571])). % 242.47/242.52 cnf(11267,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x112671),x112671))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11276,plain, % 242.47/242.52 (~P1(f330(f330(f332(x112761),x112762),f191(f937(x112761,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11283,plain, % 242.47/242.52 (P1(f330(f330(f332(f931(x112831)),x112832),f164(x112831,f246(f937(x112831,a925)))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,4720,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,11179,3915,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,4782,11157,11167,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035])). % 242.47/242.52 cnf(11284,plain, % 242.47/242.52 (P1(f330(f330(f332(x112841),x112842),f246(f937(x112841,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11287,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x112871),f931(x112871))),f330(f330(f256(f931(x112871),f931(x112871)),x112872),f116(x112871))),f148(x112871,x112873)))), % 242.47/242.52 inference(rename_variables,[],[4798])). % 242.47/242.52 cnf(11293,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x112931,x112931)),x112932),f267(x112931,f191(f937(x112931,a925)))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,4720,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,11179,3915,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,4782,11157,11167,11276,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173])). % 242.47/242.52 cnf(11294,plain, % 242.47/242.52 (~P1(f330(f330(f332(x112941),x112942),f191(f937(x112941,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11297,plain, % 242.47/242.52 (~P1(f330(f330(f332(x112971),x112972),f191(f937(x112971,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11300,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x113001,a925)),x113002),f330(f330(f312(x113001),x113003),x113002)))), % 242.47/242.52 inference(rename_variables,[],[3998])). % 242.47/242.52 cnf(11303,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),x113031),x113031))), % 242.47/242.52 inference(rename_variables,[],[3551])). % 242.47/242.52 cnf(11305,plain, % 242.47/242.52 (P1(f330(f330(f332(x113051),x113052),f330(f330(f312(x113051),x113053),f330(f330(f312(x113051),x113052),x113054))))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,4720,3342,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,11179,3915,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,4782,11157,11167,11276,11294,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,3998,11300,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302])). % 242.47/242.52 cnf(11306,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x113061,a925)),x113062),f330(f330(f312(x113061),x113063),x113062)))), % 242.47/242.52 inference(rename_variables,[],[3998])). % 242.47/242.52 cnf(11309,plain, % 242.47/242.52 (E(f330(f313(x113091,x113091,f5(x113091)),x113092),x113092)), % 242.47/242.52 inference(rename_variables,[],[3607])). % 242.47/242.52 cnf(11323,plain, % 242.47/242.52 (E(f330(x113231,f657(x113231,x113232,f330(x113231,x113233))),f330(x113231,x113233))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,4720,3342,3394,3510,10602,10605,10698,10701,3487,3386,3450,3380,3408,3392,4022,3607,11182,3480,4733,10593,3445,10663,4332,4189,4798,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,4294,4198,11179,3915,4282,3933,10725,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,4782,11157,11167,11276,11294,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,4155,3998,11300,4000,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493])). % 242.47/242.52 cnf(11326,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x113261,a925)),x113262),f330(f330(f312(x113261),x113263),x113262)))), % 242.47/242.52 inference(rename_variables,[],[3998])). % 242.47/242.52 cnf(11339,plain, % 242.47/242.52 (~E(f330(a26,x113391),f32(x113392,x113393))), % 242.47/242.52 inference(rename_variables,[],[4723])). % 242.47/242.52 cnf(11342,plain, % 242.47/242.52 (~P1(f330(f330(f175(x113421),f116(x113421)),x113422))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(11355,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x113551),f330(a115,x113551)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(11365,plain, % 242.47/242.52 (~E(f330(f313(x113651,f937(x113651,a925),x113652),x113653),f330(f311(x113651),x113653))), % 242.47/242.52 inference(rename_variables,[],[4780])). % 242.47/242.52 cnf(11368,plain, % 242.47/242.52 (~P1(f330(f330(f332(x113681),x113682),f191(f937(x113681,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11371,plain, % 242.47/242.52 (~P1(f330(f330(f332(x113711),x113712),f191(f937(x113711,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11374,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x113741,x113741)),f330(f330(f256(x113741,x113741),x113742),x113743)),f156(x113741,f116(f937(x113741,a930)))))), % 242.47/242.52 inference(rename_variables,[],[4797])). % 242.47/242.52 cnf(11377,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x113771,x113771)),f330(f330(f256(x113771,x113771),x113772),x113773)),f156(x113771,f116(f937(x113771,a930)))))), % 242.47/242.52 inference(rename_variables,[],[4797])). % 242.47/242.52 cnf(11382,plain, % 242.47/242.52 (~P1(f330(f330(f332(x113821),x113822),f191(f937(x113821,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11385,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(x113851,x113851)),f330(f330(f256(x113851,x113851),x113852),x113852)),f310(x113851,x113853)))), % 242.47/242.52 inference(rename_variables,[],[4189])). % 242.47/242.52 cnf(11388,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x113881,a925)),f330(f175(x113881),f179(x113881,x113882,x113883))),f330(f175(x113881),x113882)))), % 242.47/242.52 inference(rename_variables,[],[4248])). % 242.47/242.52 cnf(11391,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x113911,a925)),x113912),f246(f937(x113911,a925))))), % 242.47/242.52 inference(rename_variables,[],[3933])). % 242.47/242.52 cnf(11407,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x114071,a925)),f191(f937(x114071,a925))),x114072))), % 242.47/242.52 inference(rename_variables,[],[4000])). % 242.47/242.52 cnf(11415,plain, % 242.47/242.52 (~P1(f330(f330(f69(f931(x114151),f931(x114151),f148(x114151,x114152)),x114153),f116(x114151)))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,4723,10762,10864,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,3445,10663,4332,4189,11385,4798,11287,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,4782,11157,11167,11276,11294,11297,11368,11371,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839])). % 242.47/242.52 cnf(11418,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x114181),f931(x114181))),f330(f330(f256(f931(x114181),f931(x114181)),x114182),f116(x114181))),f150(x114181,x114183)))), % 242.47/242.52 inference(rename_variables,[],[4799])). % 242.47/242.52 cnf(11429,plain, % 242.47/242.52 (~E(f330(a115,x114291),x114291)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11432,plain, % 242.47/242.52 (~E(f330(a115,x114321),x114321)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11444,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x114441,a925)),x114442),x114442))), % 242.47/242.52 inference(rename_variables,[],[3847])). % 242.47/242.52 cnf(11451,plain, % 242.47/242.52 (~E(f330(a115,x114511),x114511)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11454,plain, % 242.47/242.52 (~E(f330(a115,x114541),x114541)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11456,plain, % 242.47/242.52 (~P29(x114561,f937(x114561,a925),x114562,x114563,f330(f311(x114561),x114563))), % 242.47/242.52 inference(scs_inference,[],[4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3445,10663,4332,4189,11385,4798,11287,4799,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,4782,11157,11167,11276,11294,11297,11368,11371,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937])). % 242.47/242.52 cnf(11459,plain, % 242.47/242.52 (P28(x114591,x114591,f5(x114591),x114592)), % 242.47/242.52 inference(rename_variables,[],[3788])). % 242.47/242.52 cnf(11464,plain, % 242.47/242.52 (~E(f330(f313(x114641,f937(x114641,a925),x114642),x114643),f330(f311(x114641),x114643))), % 242.47/242.52 inference(rename_variables,[],[4780])). % 242.47/242.52 cnf(11469,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x114691,a925)),x114692),f246(f937(x114691,a925))))), % 242.47/242.52 inference(rename_variables,[],[3933])). % 242.47/242.52 cnf(11473,plain, % 242.47/242.52 (P1(f330(f330(f69(f931(x114731),f931(x114731),f161(x114731,x114732)),f116(x114731)),f116(x114731)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3445,10663,4332,4189,11385,4798,11287,4799,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,4782,11157,11167,11276,11294,11297,11368,11371,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020])). % 242.47/242.52 cnf(11485,plain, % 242.47/242.52 (~P1(f330(f330(f332(x114851),x114852),f191(f937(x114851,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11488,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x114881)),x114881))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(11493,plain, % 242.47/242.52 (~P1(f330(f330(f332(x114931),x114932),f191(f937(x114931,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11503,plain, % 242.47/242.52 (~P1(f330(f330(f332(a930),f330(a115,f330(f145(a930,a930,f82(a930),f2(a930)),x115031))),f330(f175(a930),x115031)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,4799,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121])). % 242.47/242.52 cnf(11504,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x115041)),x115041))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(11507,plain, % 242.47/242.52 (~P1(f330(f330(f332(x115071),x115072),f191(f937(x115071,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11520,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(x115201,x115201)),f330(f330(f256(x115201,x115201),x115202),x115202)),f310(x115201,x115203)))), % 242.47/242.52 inference(rename_variables,[],[4189])). % 242.47/242.52 cnf(11523,plain, % 242.47/242.52 (P1(f330(f330(f332(x115231),x115232),f246(f937(x115231,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11526,plain, % 242.47/242.52 (P1(f330(f330(f332(x115261),x115262),f246(f937(x115261,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11530,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(f931(x115301),f931(x115301))),f330(f330(f256(f931(x115301),f931(x115301)),f116(x115301)),f116(x115301))),f330(f290(f931(x115301),f931(x115301)),f161(x115301,x115302))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,4799,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296])). % 242.47/242.52 cnf(11533,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x115331),f931(x115331))),f330(f330(f256(f931(x115331),f931(x115331)),x115332),f116(x115331))),f148(x115331,x115333)))), % 242.47/242.52 inference(rename_variables,[],[4798])). % 242.47/242.52 cnf(11536,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x115361),f931(x115361))),f330(f330(f256(f931(x115361),f931(x115361)),x115362),f116(x115361))),f150(x115361,x115363)))), % 242.47/242.52 inference(rename_variables,[],[4799])). % 242.47/242.52 cnf(11539,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x115391),f931(x115391))),f330(f330(f256(f931(x115391),f931(x115391)),x115392),f116(x115391))),f160(x115391,x115393)))), % 242.47/242.52 inference(rename_variables,[],[4800])). % 242.47/242.52 cnf(11541,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x115411),f931(x115411))),f330(f330(f256(f931(x115411),f931(x115411)),f116(x115411)),x115412)),f330(f290(f931(x115411),f931(x115411)),f148(x115411,x115413))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,4790,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344])). % 242.47/242.52 cnf(11544,plain, % 242.47/242.52 (~P1(f330(f330(f240(f937(x115441,a925)),x115442),f191(f937(x115441,a925))))), % 242.47/242.52 inference(rename_variables,[],[4790])). % 242.47/242.52 cnf(11547,plain, % 242.47/242.52 (~P1(f330(f330(f332(x115471),x115472),f191(f937(x115471,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11549,plain, % 242.47/242.52 (~P1(f330(f330(f332(x115491),x115492),f330(f313(x115493,x115491,x115494),f330(f313(x115495,x115493,x115496),f191(f937(x115495,a925))))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370])). % 242.47/242.52 cnf(11557,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x115571,a925)),x115572),f330(f330(f113(f937(x115571,a925)),x115573),f246(f937(x115571,a925)))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402])). % 242.47/242.52 cnf(11558,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x115581,a925)),x115582),f246(f937(x115581,a925))))), % 242.47/242.52 inference(rename_variables,[],[3933])). % 242.47/242.52 cnf(11561,plain, % 242.47/242.52 (~P1(f330(f330(f191(f937(x115611,f937(x115612,a925))),x115613),x115614))), % 242.47/242.52 inference(rename_variables,[],[4796])). % 242.47/242.52 cnf(11563,plain, % 242.47/242.52 (~P64(f931(x115631),f161(x115631,x115632))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474])). % 242.47/242.52 cnf(11567,plain, % 242.47/242.52 (~P1(f330(f330(f259(x115671,x115672,a925,f330(f175(x115673),f116(x115673))),x115674),x115675))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,4155,3998,11300,11306,3847,4000,11027,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511])). % 242.47/242.52 cnf(11568,plain, % 242.47/242.52 (~P1(f330(f330(f175(x115681),f116(x115681)),x115682))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(11573,plain, % 242.47/242.52 (~P1(f330(f330(f332(x115731),x115732),f191(f937(x115731,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11576,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x115761,x115761)),f330(f330(f256(x115761,x115761),x115762),x115763)),f156(x115761,f116(f937(x115761,a930)))))), % 242.47/242.52 inference(rename_variables,[],[4797])). % 242.47/242.52 cnf(11579,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x115791,a925)),x115792),x115792))), % 242.47/242.52 inference(rename_variables,[],[3847])). % 242.47/242.52 cnf(11582,plain, % 242.47/242.52 (~P1(f330(f330(f332(x115821),x115822),f191(f937(x115821,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11584,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x115841,a925)),f330(f289(x115842,x115841,f191(f937(f936(x115842,x115841),a925))),x115843)),x115844))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576])). % 242.47/242.52 cnf(11585,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x115851,a925)),f191(f937(x115851,a925))),x115852))), % 242.47/242.52 inference(rename_variables,[],[4000])). % 242.47/242.52 cnf(11588,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(x115881,x115881)),f330(f330(f256(x115881,x115881),x115882),x115882)),f310(x115881,x115883)))), % 242.47/242.52 inference(rename_variables,[],[4189])). % 242.47/242.52 cnf(11592,plain, % 242.47/242.52 (~E(f330(f330(f104(f937(f936(f931(x115921),f931(x115921)),a925)),f330(f290(f931(x115921),f931(x115921)),f161(x115921,x115922))),f310(f931(x115921),f161(x115921,x115922))),f191(f937(f936(f931(x115921),f931(x115921)),a925)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606])). % 242.47/242.52 cnf(11594,plain, % 242.47/242.52 (P39(x115941,x115942,x115943,f330(f330(f157(x115944,x115941),x115945),f117(x115944,f116(x115944))),f116(x115942))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607])). % 242.47/242.52 cnf(11596,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),x115961),f330(a115,x115961))),f310(a930,a320)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634])). % 242.47/242.52 cnf(11598,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x115981),f931(x115981))),f330(f330(f256(f931(x115981),f931(x115981)),x115982),f116(x115981))),f330(f290(f931(x115981),f931(x115981)),f160(x115981,x115983))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,11539,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697])). % 242.47/242.52 cnf(11599,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x115991),f931(x115991))),f330(f330(f256(f931(x115991),f931(x115991)),x115992),f116(x115991))),f160(x115991,x115993)))), % 242.47/242.52 inference(rename_variables,[],[4800])). % 242.47/242.52 cnf(11605,plain, % 242.47/242.52 (~P1(f330(f330(f332(f931(x116051)),f116(x116051)),f330(f268(f931(x116051),f931(x116051)),f148(x116051,x116052))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,11539,4801,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737])). % 242.47/242.52 cnf(11606,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x116061),f931(x116061))),f330(f330(f256(f931(x116061),f931(x116061)),f116(x116061)),x116062)),f148(x116061,x116063)))), % 242.47/242.52 inference(rename_variables,[],[4801])). % 242.47/242.52 cnf(11611,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f937(x116111,a925),f937(x116111,a925))),f330(f330(f256(f937(x116111,a925),f937(x116111,a925)),x116112),f191(f937(x116111,a925)))),f317(x116111)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,11539,4801,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739])). % 242.47/242.52 cnf(11614,plain, % 242.47/242.52 (P1(f330(f330(f332(x116141),x116142),f246(f937(x116141,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11619,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x116191,a925)),f191(f937(x116191,a925))),x116192))), % 242.47/242.52 inference(rename_variables,[],[4000])). % 242.47/242.52 cnf(11622,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116221),x116222),f191(f937(x116221,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11625,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x116251,a925)),x116252),f246(f937(x116251,a925))))), % 242.47/242.52 inference(rename_variables,[],[3933])). % 242.47/242.52 cnf(11629,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x116291,a925)),f330(f289(x116292,x116291,x116293),f191(f937(x116292,a925)))),x116294))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,4800,11539,4801,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,3611,10991,11021,11030,11033,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845])). % 242.47/242.52 cnf(11630,plain, % 242.47/242.52 (P1(f330(f330(f239(f937(x116301,a925)),f191(f937(x116301,a925))),x116302))), % 242.47/242.52 inference(rename_variables,[],[4000])). % 242.47/242.52 cnf(11643,plain, % 242.47/242.52 (P1(f330(f246(f937(x116431,a925)),x116432))), % 242.47/242.52 inference(rename_variables,[],[3611])). % 242.47/242.52 cnf(11651,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x116511),f931(x116511))),f330(f330(f256(f931(x116511),f931(x116511)),x116512),f116(x116511))),f148(x116511,x116513)))), % 242.47/242.52 inference(rename_variables,[],[4798])). % 242.47/242.52 cnf(11654,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x116541),f931(x116541))),f330(f330(f256(f931(x116541),f931(x116541)),x116542),f116(x116541))),f150(x116541,x116543)))), % 242.47/242.52 inference(rename_variables,[],[4799])). % 242.47/242.52 cnf(11657,plain, % 242.47/242.52 (~E(f330(f330(f154(x116571),x116572),x116573),x116573)), % 242.47/242.52 inference(rename_variables,[],[4733])). % 242.47/242.52 cnf(11660,plain, % 242.47/242.52 (~E(f330(a115,x116601),x116601)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11663,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116631),x116632),f191(f937(x116631,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11665,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116651),x116652),f330(f289(x116653,x116651,x116654),f330(f289(x116655,x116653,x116656),f191(f937(x116655,a925))))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,4799,11418,11536,4800,11539,4801,11606,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983])). % 242.47/242.52 cnf(11668,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116681),x116682),f191(f937(x116681,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11671,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116711),x116712),f191(f937(x116711,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11674,plain, % 242.47/242.52 (P1(f330(f330(f332(f936(f931(x116741),f931(x116741))),f330(f330(f256(f931(x116741),f931(x116741)),x116742),x116742)),f161(x116741,f310(x116741,x116743))))), % 242.47/242.52 inference(rename_variables,[],[4325])). % 242.47/242.52 cnf(11677,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x116771),f931(x116771))),f330(f330(f256(f931(x116771),f931(x116771)),x116772),f116(x116771))),f148(x116771,x116773)))), % 242.47/242.52 inference(rename_variables,[],[4798])). % 242.47/242.52 cnf(11687,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x116871,x116871)),f330(f330(f256(x116871,x116871),x116872),x116873)),f156(x116871,f116(f937(x116871,a930)))))), % 242.47/242.52 inference(rename_variables,[],[4797])). % 242.47/242.52 cnf(11690,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116901),x116902),f191(f937(x116901,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11693,plain, % 242.47/242.52 (~P1(f330(f330(f332(x116931),x116932),f191(f937(x116931,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11696,plain, % 242.47/242.52 (P1(f330(f330(f332(x116961),x116962),f246(f937(x116961,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11699,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x116991),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(11703,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x117031),f931(x117031))),f330(f330(f256(f931(x117031),f931(x117031)),x117032),x117033)),f160(x117031,f156(x117031,f116(f937(x117031,a930))))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,11651,4799,11418,11536,4800,11539,4801,11606,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4325,11674,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,11576,11687,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174])). % 242.47/242.52 cnf(11704,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x117041,x117041)),f330(f330(f256(x117041,x117041),x117042),x117043)),f156(x117041,f116(f937(x117041,a930)))))), % 242.47/242.52 inference(rename_variables,[],[4797])). % 242.47/242.52 cnf(11706,plain, % 242.47/242.52 (~E(f330(f262(x117061,x117062,x117063,x117063,f313(x117064,f937(x117064,a925),x117065),f33(x117063)),x117066),f330(f262(x117061,x117062,x117063,x117063,f311(x117064),f33(x117063)),x117066))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,11651,4799,11418,11536,4800,11539,4801,11606,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4325,11674,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,11576,11687,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214])). % 242.47/242.52 cnf(11707,plain, % 242.47/242.52 (~E(f330(f313(x117071,f937(x117071,a925),x117072),x117073),f330(f311(x117071),x117073))), % 242.47/242.52 inference(rename_variables,[],[4780])). % 242.47/242.52 cnf(11710,plain, % 242.47/242.52 (~E(f330(f313(x117101,f937(x117101,a925),x117102),x117103),f330(f311(x117101),x117103))), % 242.47/242.52 inference(rename_variables,[],[4780])). % 242.47/242.52 cnf(11712,plain, % 242.47/242.52 (E(f330(f330(f256(a930,a930),f664(f310(a930,a320),a320,a930,f330(f330(f256(a930,a930),x117121),f330(a115,x117121)),a930,a930)),f665(f310(a930,a320),a320,a930,f330(f330(f256(a930,a930),x117121),f330(a115,x117121)),a930,a930)),f330(f330(f256(a930,a930),x117121),f330(a115,x117121)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,11707,3654,3445,10663,4332,4189,11385,11520,4798,11287,11533,11651,4799,11418,11536,4800,11539,4801,11606,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4325,11674,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,11576,11687,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217])). % 242.47/242.52 cnf(11715,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x117151),f931(x117151))),f330(f330(f256(f931(x117151),f931(x117151)),x117152),f116(x117151))),f148(x117151,x117153)))), % 242.47/242.52 inference(rename_variables,[],[4798])). % 242.47/242.52 cnf(11718,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x117181),f931(x117181))),f330(f330(f256(f931(x117181),f931(x117181)),x117182),f116(x117181))),f150(x117181,x117183)))), % 242.47/242.52 inference(rename_variables,[],[4799])). % 242.47/242.52 cnf(11721,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(f931(x117211),f931(x117211))),f330(f330(f256(f931(x117211),f931(x117211)),x117212),f116(x117211))),f148(x117211,x117213)))), % 242.47/242.52 inference(rename_variables,[],[4798])). % 242.47/242.52 cnf(11724,plain, % 242.47/242.52 (~P1(f330(f330(f332(x117241),x117242),f191(f937(x117241,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11728,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x117281,x117282)),x117283),f330(f330(f292(x117281,x117284,x117282),f191(f937(f936(x117281,x117284),a925))),x117285)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,11707,3654,3445,10663,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4325,11674,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,11576,11687,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432])). % 242.47/242.52 cnf(11729,plain, % 242.47/242.52 (~P1(f330(f330(f332(x117291),x117292),f191(f937(x117291,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11732,plain, % 242.47/242.52 (~P1(f330(f330(f332(x117321),x117322),f191(f937(x117321,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11735,plain, % 242.47/242.52 (~P1(f330(f330(f332(x117351),x117352),f191(f937(x117351,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11738,plain, % 242.47/242.52 (~P1(f330(f330(f332(x117381),x117382),f191(f937(x117381,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11741,plain, % 242.47/242.52 (P1(f330(f330(f332(x117411),f330(x117412,x117413)),f330(f313(x117414,x117411,x117412),f246(f937(x117414,a925)))))), % 242.47/242.52 inference(rename_variables,[],[4155])). % 242.47/242.52 cnf(11743,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x117431,x117432)),x117433),f330(f313(f936(x117434,x117434),f936(x117431,x117432),f262(x117434,x117431,x117434,x117432,x117435,x117436)),f156(x117434,f116(f937(x117434,a930))))))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,4723,10762,10864,11339,4720,3342,3394,3510,10602,10605,10698,10701,3487,4010,3386,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,11707,3654,3445,10663,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,4773,10570,10573,10599,10722,10899,11111,11124,11242,4786,3990,3755,4137,3578,3579,3553,4770,4728,4325,11674,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4792,10890,4797,11374,11377,11576,11687,11704,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514])). % 242.47/242.52 cnf(11744,plain, % 242.47/242.52 (~P1(f330(f330(f332(f936(x117441,x117441)),f330(f330(f256(x117441,x117441),x117442),x117443)),f156(x117441,f116(f937(x117441,a930)))))), % 242.47/242.52 inference(rename_variables,[],[4797])). % 242.47/242.52 cnf(11752,plain, % 242.47/242.52 (E(f117(x117521,f116(x117521)),f116(x117521))), % 242.47/242.52 inference(rename_variables,[],[3394])). % 242.47/242.52 cnf(11755,plain, % 242.47/242.52 (~E(f330(a115,x117551),x117551)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11762,plain, % 242.47/242.52 (~E(f330(a115,x117621),x117621)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11767,plain, % 242.47/242.52 (E(f330(f288(x117671,x117671),f267(x117671,x117672)),x117672)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(11770,plain, % 242.47/242.52 (E(f330(f288(x117701,x117701),f267(x117701,x117702)),x117702)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(11776,plain, % 242.47/242.52 (~E(f330(a115,x117761),x117761)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11781,plain, % 242.47/242.52 (~E(f330(f330(f82(a1),x117811),x117811),a100)), % 242.47/242.52 inference(rename_variables,[],[4731])). % 242.47/242.52 cnf(11788,plain, % 242.47/242.52 (E(f330(f330(f23(a930),f2(a930)),x117881),f2(a930))), % 242.47/242.52 inference(rename_variables,[],[3466])). % 242.47/242.52 cnf(11791,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x117911),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(11798,plain, % 242.47/242.52 (E(f330(f330(f82(a1),f330(f330(f83(a1),x117981),f330(f330(f38(a1),x117982),x117981))),f47(a1,x117982,x117981)),x117982)), % 242.47/242.52 inference(rename_variables,[],[4104])). % 242.47/242.52 cnf(11822,plain, % 242.47/242.52 (~E(f330(a115,x118221),x118221)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11825,plain, % 242.47/242.52 (~E(f330(a115,x118251),x118251)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11851,plain, % 242.47/242.52 (~P1(f330(f330(f175(x118511),f116(x118511)),x118512))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(11857,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),f2(a930)),f330(a115,x118571)))), % 242.47/242.52 inference(rename_variables,[],[3630])). % 242.47/242.52 cnf(11858,plain, % 242.47/242.52 (~E(f330(a115,x118581),x118581)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11861,plain, % 242.47/242.52 (P1(f330(f330(f332(x118611),x118612),f246(f937(x118611,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(11873,plain, % 242.47/242.52 (~E(f330(a115,x118731),x118731)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11876,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x118761),x118761))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(11883,plain, % 242.47/242.52 (P1(f330(f68(x118831,x118832,x118833,x118834,f191(f937(x118831,a925))),x118834))), % 242.47/242.52 inference(rename_variables,[],[4468])). % 242.47/242.52 cnf(11884,plain, % 242.47/242.52 (E(f330(f288(x118841,x118841),f267(x118841,x118842)),x118842)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(11897,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x118971),x118972)),x118972))), % 242.47/242.52 inference(rename_variables,[],[4793])). % 242.47/242.52 cnf(11900,plain, % 242.47/242.52 (~P1(f330(f330(f240(a1),f330(f103(a1),x119001)),f2(a1)))), % 242.47/242.52 inference(rename_variables,[],[4786])). % 242.47/242.52 cnf(11912,plain, % 242.47/242.52 (~E(f330(f330(f154(x119121),x119122),f330(f330(f137(x119121),f117(x119121,f116(x119121))),x119123)),x119123)), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,4723,10762,10864,11339,3470,4720,3158,3172,3178,3182,3183,3194,3202,3203,3204,3225,3250,3251,3253,3255,3308,3309,3313,3330,3342,4706,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,3487,4010,3386,4104,11798,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,3630,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,4786,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,11696,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,11504,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,10988,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594])). % 242.47/242.52 cnf(11916,plain, % 242.47/242.52 (~E(f330(f330(f104(a930),f330(a115,x119161)),x119161),f330(a115,x119161))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,4723,10762,10864,11339,3470,4720,3158,3163,3172,3178,3182,3183,3190,3194,3202,3203,3204,3225,3250,3251,3253,3255,3308,3309,3313,3330,3342,4706,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,3487,4010,3386,4104,11798,3450,3380,3408,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,3630,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,4786,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,11696,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,3611,10991,11021,11030,11033,11036,3643,4071,4008,10642,4779,10590,10979,10982,11488,11504,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,10988,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599])). % 242.47/242.52 cnf(11923,plain, % 242.47/242.52 (E(f330(f288(x119231,x119231),f267(x119231,x119232)),x119232)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(11928,plain, % 242.47/242.52 (E(f330(f288(x119281,x119281),f267(x119281,x119282)),x119282)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(11931,plain, % 242.47/242.52 (~P1(f330(f330(f240(a1),f330(f103(a1),x119311)),f2(a1)))), % 242.47/242.52 inference(rename_variables,[],[4786])). % 242.47/242.52 cnf(11936,plain, % 242.47/242.52 (~E(f330(a115,x119361),x119361)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(11945,plain, % 242.47/242.52 (~P1(f330(f330(f175(x119451),f116(x119451)),x119452))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(11966,plain, % 242.47/242.52 (~P1(f330(f330(f240(a1),f330(f103(a1),x119661)),f2(a1)))), % 242.47/242.52 inference(rename_variables,[],[4786])). % 242.47/242.52 cnf(11969,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x119691),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(11970,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),x119701),f330(a115,x119701)))), % 242.47/242.52 inference(rename_variables,[],[3618])). % 242.47/242.52 cnf(11973,plain, % 242.47/242.52 (~P1(f330(f330(f240(a1),f330(f103(a1),x119731)),f2(a1)))), % 242.47/242.52 inference(rename_variables,[],[4786])). % 242.47/242.52 cnf(11975,plain, % 242.47/242.52 (~P18(x119751,f332(f937(x119752,a925)))), % 242.47/242.52 inference(scs_inference,[],[3788,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,4723,10762,10864,11339,3470,4720,3158,3163,3164,3172,3178,3179,3182,3183,3190,3191,3194,3202,3203,3204,3225,3250,3251,3253,3255,3308,3309,3313,3330,3342,4706,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,3487,4010,3386,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,4003,3533,3630,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,4786,11900,11931,11966,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,4769,10610,10639,11148,11193,3703,10869,10960,11237,11284,11523,11526,11614,11696,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,4779,10590,10979,10982,11488,11504,3571,11024,11187,4373,4776,4079,4761,4764,3526,3530,4763,4762,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,4796,10781,10896,4428,4336,4031,4793,10615,10618,10985,10988,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759])). % 242.47/242.52 cnf(11976,plain, % 242.47/242.52 (~P1(f330(f330(f332(x119761),x119762),f191(f937(x119761,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(11977,plain, % 242.47/242.52 (P1(f330(f330(f332(f937(x119771,a925)),x119772),f330(f311(x119771),x119772)))), % 242.47/242.52 inference(rename_variables,[],[3915])). % 242.47/242.52 cnf(11992,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x119921)),x119921))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(11993,plain, % 242.47/242.52 (~E(f330(a115,x119931),x119931)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(12003,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x120031),x120032)),x120031))), % 242.47/242.52 inference(rename_variables,[],[4794])). % 242.47/242.52 cnf(12006,plain, % 242.47/242.52 (~P1(f330(f330(f240(a1),f330(f103(a1),x120061)),f2(a1)))), % 242.47/242.52 inference(rename_variables,[],[4786])). % 242.47/242.52 cnf(12009,plain, % 242.47/242.52 (~E(f330(a115,x120091),x120091)), % 242.47/242.52 inference(rename_variables,[],[4710])). % 242.47/242.52 cnf(12022,plain, % 242.47/242.52 (P1(f330(f330(f332(x120221),x120222),f330(f330(f312(x120221),x120222),x120223)))), % 242.47/242.52 inference(rename_variables,[],[3863])). % 242.47/242.52 cnf(12023,plain, % 242.47/242.52 (~P1(f330(f330(f239(a1),f2(a1)),f330(f81(a1),f330(f103(a1),f330(a115,x120231)))))), % 242.47/242.52 inference(rename_variables,[],[4795])). % 242.47/242.52 cnf(12026,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),f330(f330(f23(a930),x120261),x120262)),f330(a115,x120261)))), % 242.47/242.52 inference(rename_variables,[],[4003])). % 242.47/242.52 cnf(12029,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f47(a930,x120291,x120292)),x120291))), % 242.47/242.52 inference(rename_variables,[],[4008])). % 242.47/242.52 cnf(12035,plain, % 242.47/242.52 (E(f330(f288(x120351,x120351),f267(x120351,x120352)),x120352)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(12040,plain, % 242.47/242.52 (E(f330(f330(f137(x120401),f172(x120401,x120402,x120403)),f172(x120401,x120404,x120403)),f330(f330(f137(x120401),f172(x120401,x120404,x120403)),f172(x120401,x120402,x120403)))), % 242.47/242.52 inference(rename_variables,[],[4118])). % 242.47/242.52 cnf(12045,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x120451)),x120451))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(12054,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x120541),x120541))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(12057,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f47(a930,x120571,x120572)),x120571))), % 242.47/242.52 inference(rename_variables,[],[4008])). % 242.47/242.52 cnf(12058,plain, % 242.47/242.52 (P1(f330(f330(f239(a930),f2(a930)),x120581))), % 242.47/242.52 inference(rename_variables,[],[3571])). % 242.47/242.52 cnf(12075,plain, % 242.47/242.52 (E(f330(f288(x120751,x120751),f267(x120751,x120752)),x120752)), % 242.47/242.52 inference(rename_variables,[],[3510])). % 242.47/242.52 cnf(12078,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x120781),x120781))), % 242.47/242.52 inference(rename_variables,[],[4769])). % 242.47/242.52 cnf(12081,plain, % 242.47/242.52 (P1(f330(f330(f332(x120811),f330(x120812,x120813)),f330(f313(x120814,x120811,x120812),f246(f937(x120814,a925)))))), % 242.47/242.52 inference(rename_variables,[],[4155])). % 242.47/242.52 cnf(12082,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x120821)),x120821))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(12085,plain, % 242.47/242.52 (P1(f330(f330(f332(x120851),f330(x120852,x120853)),f330(f313(x120854,x120851,x120852),f246(f937(x120854,a925)))))), % 242.47/242.52 inference(rename_variables,[],[4155])). % 242.47/242.52 cnf(12086,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x120861),x120862)),x120862))), % 242.47/242.52 inference(rename_variables,[],[4793])). % 242.47/242.52 cnf(12091,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x120911),x120912)),x120911))), % 242.47/242.52 inference(rename_variables,[],[4794])). % 242.47/242.52 cnf(12094,plain, % 242.47/242.52 (~P1(f330(f330(f175(x120941),f116(x120941)),x120942))), % 242.47/242.52 inference(rename_variables,[],[4778])). % 242.47/242.52 cnf(12097,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x120971),x120971))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(12103,plain, % 242.47/242.52 (~P40(x121031,x121032,f116(x121031))), % 242.47/242.52 inference(rename_variables,[],[4744])). % 242.47/242.52 cnf(12106,plain, % 242.47/242.52 (P1(f330(f330(f332(x121061),x121062),f246(f937(x121061,a925))))), % 242.47/242.52 inference(rename_variables,[],[3703])). % 242.47/242.52 cnf(12107,plain, % 242.47/242.52 (~P1(f330(f330(f239(a930),f330(a115,x121071)),x121071))), % 242.47/242.52 inference(rename_variables,[],[4779])). % 242.47/242.52 cnf(12120,plain, % 242.47/242.52 (~P1(f330(f330(f332(x121201),x121202),f191(f937(x121201,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(12123,plain, % 242.47/242.52 (E(f330(f330(f16(x121231,x121232),x121233),x121234),x121233)), % 242.47/242.52 inference(rename_variables,[],[3540])). % 242.47/242.52 cnf(12126,plain, % 242.47/242.52 (E(f330(f330(f16(x121261,x121262),x121263),x121264),x121263)), % 242.47/242.52 inference(rename_variables,[],[3540])). % 242.47/242.52 cnf(12138,plain, % 242.47/242.52 (P1(f330(f330(f240(a930),f2(a930)),f330(a115,x121381)))), % 242.47/242.52 inference(rename_variables,[],[3630])). % 242.47/242.52 cnf(12141,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x121411),x121411))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(12144,plain, % 242.47/242.52 (P1(f330(f63(x121441),f330(f175(x121441),x121442)))), % 242.47/242.52 inference(rename_variables,[],[3590])). % 242.47/242.52 cnf(12147,plain, % 242.47/242.52 (P1(f330(f63(x121471),f330(f175(x121471),x121472)))), % 242.47/242.52 inference(rename_variables,[],[3590])). % 242.47/242.52 cnf(12150,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),f330(f81(a1),f330(f103(a1),x121501))),f330(f103(a1),x121502)))), % 242.47/242.52 inference(rename_variables,[],[4032])). % 242.47/242.52 cnf(12153,plain, % 242.47/242.52 (~P1(f330(f330(f332(x121531),x121532),f191(f937(x121531,a925))))), % 242.47/242.52 inference(rename_variables,[],[4782])). % 242.47/242.52 cnf(12167,plain, % 242.47/242.52 (~P1(f330(f330(f332(a930),f2(a930)),f330(f307(a930),x121671)))), % 242.47/242.52 inference(scs_inference,[],[3788,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,4723,10762,10864,11339,3470,4720,3158,3163,3164,3171,3172,3175,3178,3179,3182,3183,3190,3191,3194,3202,3203,3204,3225,3250,3251,3253,3255,3308,3309,3311,3313,3314,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,3487,4010,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,4003,12026,3533,3630,11857,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,4786,11900,11931,11966,11973,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,3626,4769,10610,10639,11148,11193,11202,12054,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,3571,11024,11187,11260,4032,4373,4776,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392])). % 242.47/242.52 cnf(12172,plain, % 242.47/242.52 (P1(f330(f330(f197(a25),x121721),x121721))), % 242.47/242.52 inference(rename_variables,[],[3550])). % 242.47/242.52 cnf(12175,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),x121751),x121751))), % 242.47/242.52 inference(rename_variables,[],[3552])). % 242.47/242.52 cnf(12184,plain, % 242.47/242.52 (P1(f330(f330(f239(a1),x121841),x121841))), % 242.47/242.52 inference(rename_variables,[],[3552])). % 242.47/242.52 cnf(12187,plain, % 242.47/242.52 (~P1(f330(f330(f240(a930),x121871),f2(a930)))), % 242.47/242.52 inference(rename_variables,[],[4773])). % 242.47/242.52 cnf(12192,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x121921),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12201,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x122011))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(12202,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x122021)),x122021))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(12204,plain, % 242.47/242.53 (E(f330(f330(f82(a930),f2(a930)),f912(f2(a930),x122041,f330(f175(x122042),f116(x122042)))),x122041)), % 242.47/242.53 inference(scs_inference,[],[3788,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,4723,10762,10864,11339,3470,4720,3158,3163,3164,3171,3172,3175,3178,3179,3182,3183,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,3487,4010,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,4003,12026,3533,3630,11857,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,4786,11900,11931,11966,11973,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,11229,12175,3626,4769,10610,10639,11148,11193,11202,12054,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,3571,11024,11187,11260,12058,4032,4373,4776,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617])). % 242.47/242.53 cnf(12205,plain, % 242.47/242.53 (~P1(f330(f330(f175(x122051),f116(x122051)),x122052))), % 242.47/242.53 inference(rename_variables,[],[4778])). % 242.47/242.53 cnf(12207,plain, % 242.47/242.53 (E(f330(f330(f82(a930),f2(a930)),f913(f2(a930),x122071,f330(f175(x122072),f116(x122072)))),x122071)), % 242.47/242.53 inference(scs_inference,[],[3788,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,4723,10762,10864,11339,3470,4720,3158,3163,3164,3171,3172,3175,3178,3179,3182,3183,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,3487,4010,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,4003,12026,3533,3630,11857,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,4786,11900,11931,11966,11973,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4198,11179,4248,3915,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,3551,11081,11130,11133,11164,11190,11226,11267,3552,10773,11009,11106,11229,12175,3626,4769,10610,10639,11148,11193,11202,12054,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,3571,11024,11187,11260,12058,4032,4373,4776,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618])). % 242.47/242.53 cnf(12208,plain, % 242.47/242.53 (~P1(f330(f330(f175(x122081),f116(x122081)),x122082))), % 242.47/242.53 inference(rename_variables,[],[4778])). % 242.47/242.53 cnf(12211,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x122111),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12212,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x122121),f330(a115,x122121)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12233,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x122331)),x122331))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(12236,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x122361)),x122361))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(12239,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x122391)),x122391))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(12242,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x122421)),x122421))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(12245,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x122451),x122451))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12248,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x122481),x122481))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12251,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x122511),x122511))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12254,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x122541),x122541))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12271,plain, % 242.47/242.53 (P1(f330(f330(f197(a25),x122711),x122711))), % 242.47/242.53 inference(rename_variables,[],[3550])). % 242.47/242.53 cnf(12274,plain, % 242.47/242.53 (P28(a930,a930,a115,x122741)), % 242.47/242.53 inference(rename_variables,[],[3754])). % 242.47/242.53 cnf(12277,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x122771),x122771))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12288,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x122881),x122881))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12291,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(f936(f931(x122911),f931(x122911)),a925)),f161(x122911,x122912)),f310(f931(x122911),f160(x122911,x122912))))), % 242.47/242.53 inference(rename_variables,[],[4253])). % 242.47/242.53 cnf(12298,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x122981),f330(a115,x122981)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12301,plain, % 242.47/242.53 (P1(f330(f330(f332(f937(x123011,a925)),x123012),f330(f311(x123011),x123012)))), % 242.47/242.53 inference(rename_variables,[],[3915])). % 242.47/242.53 cnf(12302,plain, % 242.47/242.53 (~E(f330(a115,x123021),x123021)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12307,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x123071),x123071))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12312,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x123121),x123121))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12323,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x123231,a925)),x123232),f330(f330(f312(x123231),x123233),x123232)))), % 242.47/242.53 inference(rename_variables,[],[3998])). % 242.47/242.53 cnf(12326,plain, % 242.47/242.53 (P1(f330(f330(f197(a25),x123261),x123261))), % 242.47/242.53 inference(rename_variables,[],[3550])). % 242.47/242.53 cnf(12327,plain, % 242.47/242.53 (~E(f330(a115,x123271),x123271)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12338,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x123381),x123381))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12339,plain, % 242.47/242.53 (~E(f330(a115,x123391),x123391)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12342,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x123421),x123421))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12345,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x123451),x123451))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12348,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x123481),x123481))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12350,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f330(f330(f104(a930),x123501),x123502)),x123501))), % 242.47/242.53 inference(scs_inference,[],[3788,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3175,3178,3179,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,3487,4010,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,4003,12026,3533,3630,11857,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,4198,11179,4248,3915,11977,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,3626,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,3571,11024,11187,11260,12058,4032,4373,4776,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031])). % 242.47/242.53 cnf(12351,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x123511),x123511))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12354,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x123541),x123541))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12357,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x123571),x123571))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12360,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x123601),x123601))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12361,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x123611),f330(a115,x123611)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12368,plain, % 242.47/242.53 (~E(f330(a115,x123681),x123681)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12373,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x123731),x123731))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12374,plain, % 242.47/242.53 (~E(f330(a115,x123741),x123741)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12377,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x123771),x123771))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12379,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a107,f80(a1))),f330(a107,f2(a1))))), % 242.47/242.53 inference(scs_inference,[],[3788,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3175,3178,3179,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,4003,12026,3533,3630,11857,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,4198,11179,4248,3915,11977,4282,3933,10725,10822,11391,11469,11558,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,3626,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,3571,11024,11187,11260,12058,4032,4373,4776,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101])). % 242.47/242.53 cnf(12394,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x123941),x123941))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(12399,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x123991))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(12413,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124131),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12416,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124161),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12419,plain, % 242.47/242.53 (~P1(f330(f330(f332(x124191),x124192),f191(f937(x124191,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12422,plain, % 242.47/242.53 (~P1(f330(f330(f332(x124221),x124222),f191(f937(x124221,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12425,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124251),x124251))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12428,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124281),x124281))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12431,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124311),x124311))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12434,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124341),x124341))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12437,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x124371),f330(a115,x124371)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12444,plain, % 242.47/242.53 (P1(f330(f330(f332(f937(x124441,a925)),x124442),f330(f311(x124441),x124442)))), % 242.47/242.53 inference(rename_variables,[],[3915])). % 242.47/242.53 cnf(12449,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x124491,a925)),x124492),f330(f330(f312(x124491),x124493),x124492)))), % 242.47/242.53 inference(rename_variables,[],[3998])). % 242.47/242.53 cnf(12456,plain, % 242.47/242.53 (~P1(f330(f330(f332(x124561),x124562),f191(f937(x124561,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12465,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x124651,a925)),x124652),f246(f937(x124651,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(12466,plain, % 242.47/242.53 (~E(f330(a115,x124661),x124661)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12469,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x124691,a925)),f330(f175(x124691),f330(f139(x124691,x124692),x124693))),f330(f175(x124691),x124693)))), % 242.47/242.53 inference(rename_variables,[],[4198])). % 242.47/242.53 cnf(12475,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x124751),f330(a115,x124751)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12484,plain, % 242.47/242.53 (P46(a25,x124841,x124842,x124841)), % 242.47/242.53 inference(rename_variables,[],[3764])). % 242.47/242.53 cnf(12486,plain, % 242.47/242.53 (~P1(f330(f330(f332(f936(x124861,x124861)),x124862),f156(x124861,f116(f937(x124861,a930)))))), % 242.47/242.53 inference(scs_inference,[],[3764,3788,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,4003,12026,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,4198,11179,4248,3915,11977,12301,4282,3933,10725,10822,11391,11469,11558,11625,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,3571,11024,11187,11260,12058,12201,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,12323,3847,11444,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495])). % 242.47/242.53 cnf(12487,plain, % 242.47/242.53 (E(f330(f288(x124871,x124871),f267(x124871,x124872)),x124872)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(12498,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x124981)),x124981))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(12499,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x124991),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12502,plain, % 242.47/242.53 (P1(f330(f63(x125021),f191(f937(x125021,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(12503,plain, % 242.47/242.53 (~P1(f330(f330(f332(x125031),x125032),f191(f937(x125031,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12506,plain, % 242.47/242.53 (P46(a25,x125061,x125062,x125061)), % 242.47/242.53 inference(rename_variables,[],[3764])). % 242.47/242.53 cnf(12515,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x125151,a925)),f330(f175(x125151),f179(x125151,x125152,x125153))),f330(f175(x125151),x125152)))), % 242.47/242.53 inference(rename_variables,[],[4248])). % 242.47/242.53 cnf(12518,plain, % 242.47/242.53 (P1(f330(f330(f197(a25),x125181),x125181))), % 242.47/242.53 inference(rename_variables,[],[3550])). % 242.47/242.53 cnf(12521,plain, % 242.47/242.53 (P28(x125211,x125211,f5(x125211),x125212)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12528,plain, % 242.47/242.53 (P1(f330(f330(f332(f937(x125281,a925)),x125282),f330(f311(x125281),x125282)))), % 242.47/242.53 inference(rename_variables,[],[3915])). % 242.47/242.53 cnf(12535,plain, % 242.47/242.53 (P1(f330(f330(f197(a25),x125351),x125351))), % 242.47/242.53 inference(rename_variables,[],[3550])). % 242.47/242.53 cnf(12538,plain, % 242.47/242.53 (~P1(f330(f330(f332(x125381),x125382),f191(f937(x125381,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12541,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x125411,a925)),x125412),f330(f330(f312(x125411),x125413),x125412)))), % 242.47/242.53 inference(rename_variables,[],[3998])). % 242.47/242.53 cnf(12542,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x125421,a925)),x125422),f246(f937(x125421,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(12549,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x125491),x125491))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12552,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x125521),x125521))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12555,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x125551),x125551))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12558,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x125581),x125581))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12561,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x125611),f330(a115,x125611)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12564,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x125641),f330(a115,x125641)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12566,plain, % 242.47/242.53 (P1(f330(f330(f239(a925),x125661),x125661))), % 242.47/242.53 inference(scs_inference,[],[3764,12484,3788,11459,4743,4744,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3607,11182,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,12147,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,4198,11179,4248,11388,3915,11977,12301,12444,4282,3933,10725,10822,11391,11469,11558,11625,12465,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,3571,11024,11187,11260,12058,12201,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,12323,12449,3847,11444,11579,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,4428,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861])). % 242.47/242.53 cnf(12567,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x125671,a925)),x125672),x125672))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12574,plain, % 242.47/242.53 (P1(f330(f330(f332(f937(x125741,a925)),x125742),f330(f311(x125741),x125742)))), % 242.47/242.53 inference(rename_variables,[],[3915])). % 242.47/242.53 cnf(12583,plain, % 242.47/242.53 (~E(f330(a115,x125831),x125831)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12584,plain, % 242.47/242.53 (E(f330(f313(x125841,x125841,f5(x125841)),x125842),x125842)), % 242.47/242.53 inference(rename_variables,[],[3607])). % 242.47/242.53 cnf(12587,plain, % 242.47/242.53 (P37(x125871,x125872,f116(x125871),f116(x125871))), % 242.47/242.53 inference(rename_variables,[],[3797])). % 242.47/242.53 cnf(12590,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x125901,a925)),f330(f175(x125901),f179(x125901,x125902,x125903))),f330(f175(x125901),x125902)))), % 242.47/242.53 inference(rename_variables,[],[4248])). % 242.47/242.53 cnf(12591,plain, % 242.47/242.53 (P1(f330(f63(x125911),f330(f175(x125911),x125912)))), % 242.47/242.53 inference(rename_variables,[],[3590])). % 242.47/242.53 cnf(12602,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x126021),x126021))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12605,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x126051),x126051))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12610,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x126101))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(12617,plain, % 242.47/242.53 (P16(a930,f330(f171(a930),f330(f330(f157(f931(x126171),a930),f192(f931(x126171))),f182(x126171,x126172))))), % 242.47/242.53 inference(rename_variables,[],[4114])). % 242.47/242.53 cnf(12620,plain, % 242.47/242.53 (P28(x126201,x126201,f5(x126201),x126202)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12623,plain, % 242.47/242.53 (P28(x126231,x126231,f5(x126231),x126232)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12626,plain, % 242.47/242.53 (P1(f330(f330(f332(f931(x126261)),f116(x126261)),f164(x126261,x126262)))), % 242.47/242.53 inference(rename_variables,[],[3746])). % 242.47/242.53 cnf(12629,plain, % 242.47/242.53 (~P1(f330(f330(f191(f937(x126291,f937(x126292,a925))),x126293),x126294))), % 242.47/242.53 inference(rename_variables,[],[4796])). % 242.47/242.53 cnf(12634,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x126341),x126341))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12635,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x126351))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(12638,plain, % 242.47/242.53 (~P1(f330(f330(f191(f937(x126381,f937(x126382,a925))),x126383),x126384))), % 242.47/242.53 inference(rename_variables,[],[4796])). % 242.47/242.53 cnf(12641,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(f936(f931(x126411),f931(x126411)),a925)),f161(x126411,x126412)),f310(f931(x126411),f160(x126411,x126412))))), % 242.47/242.53 inference(rename_variables,[],[4253])). % 242.47/242.53 cnf(12647,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126471,a925)),f330(f313(x126472,x126471,x126473),f330(f314(x126472,x126471,x126473),x126474))),x126474))), % 242.47/242.53 inference(rename_variables,[],[4428])). % 242.47/242.53 cnf(12650,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126501,a925)),f330(f175(x126501),f179(x126501,x126502,x126503))),f330(f175(x126501),x126502)))), % 242.47/242.53 inference(rename_variables,[],[4248])). % 242.47/242.53 cnf(12651,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126511,a925)),f330(f175(x126511),f330(f139(x126511,x126512),x126513))),f330(f175(x126511),x126513)))), % 242.47/242.53 inference(rename_variables,[],[4198])). % 242.47/242.53 cnf(12653,plain, % 242.47/242.53 (~P1(f330(f330(f239(f937(x126531,a925)),f246(f937(x126531,a925))),f191(f937(x126531,a925))))), % 242.47/242.53 inference(scs_inference,[],[3764,12484,3788,11459,12521,12620,3797,4743,4744,3421,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3428,3607,11182,11309,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,3914,4604,4605,4731,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,12147,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,12291,12641,4198,11179,12469,4248,11388,12515,12590,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,12323,12449,3847,11444,11579,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,4428,11170,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294])). % 242.47/242.53 cnf(12654,plain, % 242.47/242.53 (~P1(f330(f330(f240(f937(x126541,a925)),x126542),f191(f937(x126541,a925))))), % 242.47/242.53 inference(rename_variables,[],[4790])). % 242.47/242.53 cnf(12657,plain, % 242.47/242.53 (P1(f330(f330(f197(a25),x126571),x126571))), % 242.47/242.53 inference(rename_variables,[],[3550])). % 242.47/242.53 cnf(12665,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126651,a925)),f330(f313(x126652,x126651,x126653),f330(f314(x126652,x126651,x126653),x126654))),x126654))), % 242.47/242.53 inference(rename_variables,[],[4428])). % 242.47/242.53 cnf(12669,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(f931(a930),f931(a930))),f330(f330(f256(f931(a930),f931(a930)),f116(a930)),f117(a930,f116(a930)))),f267(f931(a930),f164(a930,x126691))))), % 242.47/242.53 inference(scs_inference,[],[3764,12484,3788,11459,12521,12620,3797,3806,3520,4743,4744,3418,3421,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3428,3607,11182,11309,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,3914,4604,4605,4731,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,12147,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,12291,12641,4198,11179,12469,4248,11388,12515,12590,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,12323,12449,3847,11444,11579,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,4428,11170,12647,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389])). % 242.47/242.53 cnf(12670,plain, % 242.47/242.53 (P1(f330(f330(f332(f931(x126701)),f116(x126701)),f164(x126701,x126702)))), % 242.47/242.53 inference(rename_variables,[],[3746])). % 242.47/242.53 cnf(12673,plain, % 242.47/242.53 (~P1(f330(f330(f332(f936(f931(x126731),f931(x126731))),f330(f330(f256(f931(x126731),f931(x126731)),x126732),f116(x126731))),f148(x126731,x126733)))), % 242.47/242.53 inference(rename_variables,[],[4798])). % 242.47/242.53 cnf(12676,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x126761),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12678,plain, % 242.47/242.53 (~P1(f330(f63(x126781),f246(f937(x126781,a925))))), % 242.47/242.53 inference(scs_inference,[],[3764,12484,3788,11459,12521,12620,3797,3806,3520,4743,4744,3418,3421,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3428,3607,11182,11309,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,3914,4604,4605,4731,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,12147,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,12291,12641,4198,11179,12469,4248,11388,12515,12590,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,12323,12449,3847,11444,11579,12567,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,4428,11170,12647,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429])). % 242.47/242.53 cnf(12679,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126791,a925)),x126792),x126792))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12682,plain, % 242.47/242.53 (~P1(f330(f330(f332(x126821),x126822),f191(f937(x126821,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12685,plain, % 242.47/242.53 (~P1(f330(f330(f191(f937(x126851,f937(x126852,a925))),x126853),x126854))), % 242.47/242.53 inference(rename_variables,[],[4796])). % 242.47/242.53 cnf(12688,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126881,a925)),f330(f313(x126882,x126881,x126883),f330(f314(x126882,x126881,x126883),x126884))),x126884))), % 242.47/242.53 inference(rename_variables,[],[4428])). % 242.47/242.53 cnf(12689,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126891,a925)),x126892),x126892))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12694,plain, % 242.47/242.53 (E(f330(f288(x126941,x126941),f267(x126941,x126942)),x126942)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(12697,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x126971,a925)),f330(f175(x126971),f179(x126971,x126972,x126973))),f330(f175(x126971),x126972)))), % 242.47/242.53 inference(rename_variables,[],[4248])). % 242.47/242.53 cnf(12698,plain, % 242.47/242.53 (P1(f330(f63(x126981),f330(f175(x126981),x126982)))), % 242.47/242.53 inference(rename_variables,[],[3590])). % 242.47/242.53 cnf(12701,plain, % 242.47/242.53 (P1(f330(f330(f197(a25),x127011),x127011))), % 242.47/242.53 inference(rename_variables,[],[3550])). % 242.47/242.53 cnf(12704,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x127041),x127041))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12707,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x127071),x127071))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12711,plain, % 242.47/242.53 (~P1(f330(f330(f240(f937(a930,a925)),f306(a930,x127111,x127112)),f306(a930,f330(a115,x127113),x127113)))), % 242.47/242.53 inference(scs_inference,[],[3764,12484,3788,11459,12521,12620,3797,3806,3520,4743,4744,3418,3421,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,4723,10762,10864,11339,3754,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3404,3392,4022,3428,3607,11182,11309,3480,4187,4733,10593,10759,3540,12123,4780,11365,11464,11707,11710,3654,3444,3445,10663,10994,3707,3361,3466,11788,4332,4189,11385,11520,11588,4798,11287,11533,11651,11677,11715,11721,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,3914,4604,4605,4731,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3739,4787,4325,11674,3873,3590,12144,12147,12591,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,4294,4253,12291,12641,4198,11179,12469,4248,11388,12515,12590,12650,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,4155,11741,12081,3998,11300,11306,11326,12323,12449,3847,11444,11579,12567,12679,4000,11027,11407,11585,11619,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654])). % 242.47/242.53 cnf(12718,plain, % 242.47/242.53 (P28(x127181,x127181,f5(x127181),x127182)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12726,plain, % 242.47/242.53 (~P1(f330(f330(f332(x127261),x127262),f191(f937(x127261,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12729,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(x127291,x127291)),f330(f330(f256(x127291,x127291),x127292),x127292)),f310(x127291,x127293)))), % 242.47/242.53 inference(rename_variables,[],[4189])). % 242.47/242.53 cnf(12732,plain, % 242.47/242.53 (~P1(f330(f330(f332(x127321),x127322),f191(f937(x127321,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12735,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(x127351,x127351)),f330(f330(f256(x127351,x127351),x127352),x127352)),f310(x127351,x127353)))), % 242.47/242.53 inference(rename_variables,[],[4189])). % 242.47/242.53 cnf(12745,plain, % 242.47/242.53 (~E(f330(f330(f154(x127451),x127452),x127453),x127453)), % 242.47/242.53 inference(rename_variables,[],[4733])). % 242.47/242.53 cnf(12752,plain, % 242.47/242.53 (P1(f330(f330(f332(x127521),x127522),f246(f937(x127521,a925))))), % 242.47/242.53 inference(rename_variables,[],[3703])). % 242.47/242.53 cnf(12753,plain, % 242.47/242.53 (~E(f330(a115,x127531),x127531)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12756,plain, % 242.47/242.53 (P1(f330(f330(f332(f931(x127561)),f116(x127561)),f164(x127561,x127562)))), % 242.47/242.53 inference(rename_variables,[],[3746])). % 242.47/242.53 cnf(12757,plain, % 242.47/242.53 (~E(f330(f330(f154(x127571),x127572),x127573),f116(x127571))), % 242.47/242.53 inference(rename_variables,[],[4740])). % 242.47/242.53 cnf(12760,plain, % 242.47/242.53 (P28(x127601,x127601,f5(x127601),x127602)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12763,plain, % 242.47/242.53 (P1(f330(f330(f332(x127631),f330(x127632,x127633)),f330(f313(x127634,x127631,x127632),f246(f937(x127634,a925)))))), % 242.47/242.53 inference(rename_variables,[],[4155])). % 242.47/242.53 cnf(12764,plain, % 242.47/242.53 (P28(x127641,x127641,f5(x127641),x127642)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12767,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x127671,a925)),f191(f937(x127671,a925))),x127672))), % 242.47/242.53 inference(rename_variables,[],[4000])). % 242.47/242.53 cnf(12768,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x127681,a925)),x127682),x127682))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12771,plain, % 242.47/242.53 (P1(f330(f330(f332(x127711),f330(x127712,x127713)),f330(f313(x127714,x127711,x127712),f246(f937(x127714,a925)))))), % 242.47/242.53 inference(rename_variables,[],[4155])). % 242.47/242.53 cnf(12772,plain, % 242.47/242.53 (P28(x127721,x127721,f5(x127721),x127722)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12775,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(f931(x127751),f931(x127751))),f330(f330(f256(f931(x127751),f931(x127751)),f116(x127751)),f116(x127751))),f161(x127751,x127752)))), % 242.47/242.53 inference(rename_variables,[],[4332])). % 242.47/242.53 cnf(12779,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x127791),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(12785,plain, % 242.47/242.53 (E(f330(f330(f137(x127851),x127852),f116(x127851)),x127852)), % 242.47/242.53 inference(rename_variables,[],[3481])). % 242.47/242.53 cnf(12786,plain, % 242.47/242.53 (~E(f330(f330(f154(x127861),x127862),x127863),x127863)), % 242.47/242.53 inference(rename_variables,[],[4733])). % 242.47/242.53 cnf(12789,plain, % 242.47/242.53 (E(f330(f330(f137(x127891),x127892),f116(x127891)),x127892)), % 242.47/242.53 inference(rename_variables,[],[3481])). % 242.47/242.53 cnf(12790,plain, % 242.47/242.53 (~E(f330(f330(f154(x127901),x127902),x127903),x127903)), % 242.47/242.53 inference(rename_variables,[],[4733])). % 242.47/242.53 cnf(12793,plain, % 242.47/242.53 (E(f330(f330(f137(x127931),x127932),f116(x127931)),x127932)), % 242.47/242.53 inference(rename_variables,[],[3481])). % 242.47/242.53 cnf(12800,plain, % 242.47/242.53 (P58(x128001,f267(x128001,x128002))), % 242.47/242.53 inference(rename_variables,[],[3422])). % 242.47/242.53 cnf(12803,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128031,a925)),f330(f175(x128031),f330(f139(x128031,x128032),x128033))),f330(f175(x128031),x128033)))), % 242.47/242.53 inference(rename_variables,[],[4198])). % 242.47/242.53 cnf(12804,plain, % 242.47/242.53 (E(f330(f313(x128041,x128041,f5(x128041)),x128042),x128042)), % 242.47/242.53 inference(rename_variables,[],[3607])). % 242.47/242.53 cnf(12809,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128091,a925)),x128092),f246(f937(x128091,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(12813,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x128131),x128131))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12814,plain, % 242.47/242.53 (~E(f330(a115,x128141),x128141)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12817,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128171,a925)),f191(f937(x128171,a925))),x128172))), % 242.47/242.53 inference(rename_variables,[],[4000])). % 242.47/242.53 cnf(12820,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x128201),x128201))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12823,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128231,a925)),x128232),x128232))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12828,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128281,a925)),x128282),f330(f330(f312(x128281),x128283),x128282)))), % 242.47/242.53 inference(rename_variables,[],[3998])). % 242.47/242.53 cnf(12831,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128311,a925)),x128312),x128312))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12832,plain, % 242.47/242.53 (~P1(f330(f330(f332(x128321),x128322),f191(f937(x128321,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12835,plain, % 242.47/242.53 (~P1(f330(f330(f332(x128351),x128352),f191(f937(x128351,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12843,plain, % 242.47/242.53 (~P1(f330(f330(f239(f937(f936(x128431,x128431),a925)),f330(f313(f936(x128431,x128431),f936(x128431,x128431),f5(f936(x128431,x128431))),f246(f937(f936(x128431,x128431),a925)))),f330(f313(f936(x128431,x128431),f936(x128431,x128431),f5(f936(x128431,x128431))),f191(f937(f936(x128431,x128431),a925)))))), % 242.47/242.53 inference(scs_inference,[],[3764,12484,3788,11459,12521,12620,12623,12718,12760,12764,12772,3797,3806,3520,4743,4744,3418,3421,3422,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,3481,12785,12789,3487,3496,4010,4318,3386,3748,4104,11798,3450,3380,3408,3868,3404,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,4740,12757,3540,12123,4780,11365,11464,11707,11710,3654,4758,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,4189,11385,11520,11588,12729,12735,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,3611,10991,11021,11030,11033,11036,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487])). % 242.47/242.53 cnf(12844,plain, % 242.47/242.53 (P28(x128441,x128441,f5(x128441),x128442)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12847,plain, % 242.47/242.53 (E(f330(f192(f931(x128471)),f172(x128471,x128472,x128473)),x128472)), % 242.47/242.53 inference(rename_variables,[],[3617])). % 242.47/242.53 cnf(12850,plain, % 242.47/242.53 (P29(x128501,x128501,f33(x128501),x128502,x128502)), % 242.47/242.53 inference(rename_variables,[],[4213])). % 242.47/242.53 cnf(12853,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x128531),x128531))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12854,plain, % 242.47/242.53 (P1(f330(f246(f937(x128541,a925)),x128542))), % 242.47/242.53 inference(rename_variables,[],[3611])). % 242.47/242.53 cnf(12857,plain, % 242.47/242.53 (~P1(f330(f330(f332(x128571),x128572),f191(f937(x128571,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12860,plain, % 242.47/242.53 (P1(f330(f330(f332(x128601),f330(x128602,x128603)),f330(f313(x128604,x128601,x128602),f246(f937(x128604,a925)))))), % 242.47/242.53 inference(rename_variables,[],[4155])). % 242.47/242.53 cnf(12861,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(x128611,x128611)),f330(f330(f256(x128611,x128611),x128612),x128612)),f310(x128611,x128613)))), % 242.47/242.53 inference(rename_variables,[],[4189])). % 242.47/242.53 cnf(12864,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(x128641,x128641)),f330(f330(f256(x128641,x128641),x128642),x128642)),f310(x128641,x128643)))), % 242.47/242.53 inference(rename_variables,[],[4189])). % 242.47/242.53 cnf(12867,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x128671),x128671))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(12868,plain, % 242.47/242.53 (P1(f330(f246(f937(x128681,a925)),x128682))), % 242.47/242.53 inference(rename_variables,[],[3611])). % 242.47/242.53 cnf(12871,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128711,a925)),x128712),f246(f937(x128711,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(12872,plain, % 242.47/242.53 (P29(x128721,x128721,f33(x128721),x128722,x128722)), % 242.47/242.53 inference(rename_variables,[],[4213])). % 242.47/242.53 cnf(12875,plain, % 242.47/242.53 (P1(f330(f63(x128751),f330(f175(x128751),x128752)))), % 242.47/242.53 inference(rename_variables,[],[3590])). % 242.47/242.53 cnf(12877,plain, % 242.47/242.53 (E(f330(f330(f137(x128771),f701(x128772,x128773,f116(x128771),f330(f330(f154(x128771),x128773),x128772),x128771)),f116(x128771)),x128772)), % 242.47/242.53 inference(scs_inference,[],[4213,12850,3764,12484,3788,11459,12521,12620,12623,12718,12760,12764,12772,3797,3806,3520,4743,4744,3418,3421,3422,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,3481,12785,12789,12793,3487,3496,4010,4318,3617,3386,3748,4104,11798,3450,3380,3408,3868,3404,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,4740,12757,3540,12123,4780,11365,11464,11707,11710,3654,4758,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,4189,11385,11520,11588,12729,12735,12861,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694])). % 242.47/242.53 cnf(12882,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(x128821,x128821)),f330(f330(f256(x128821,x128821),x128822),x128822)),f330(f330(f292(x128821,x128821,x128821),f310(x128821,x128823)),f310(x128821,f310(x128821,x128823)))))), % 242.47/242.53 inference(scs_inference,[],[4213,12850,3764,12484,3788,11459,12521,12620,12623,12718,12760,12764,12772,3797,3806,3520,4743,4744,3418,3421,3422,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,3481,12785,12789,12793,3487,3496,4010,4318,3617,3386,3748,4104,11798,3450,3380,3408,3868,3404,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,4740,12757,3540,12123,4780,11365,11464,11707,11710,3654,4758,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,4189,11385,11520,11588,12729,12735,12861,12864,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743])). % 242.47/242.53 cnf(12885,plain, % 242.47/242.53 (~P1(f330(f330(f191(f937(x128851,f937(x128852,a925))),x128853),x128854))), % 242.47/242.53 inference(rename_variables,[],[4796])). % 242.47/242.53 cnf(12888,plain, % 242.47/242.53 (~P1(f330(f330(f191(f937(x128881,f937(x128882,a925))),x128883),x128884))), % 242.47/242.53 inference(rename_variables,[],[4796])). % 242.47/242.53 cnf(12891,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x128911,a925)),x128912),f246(f937(x128911,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(12894,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(x128941,x128941)),f330(f330(f256(x128941,x128941),x128942),x128942)),f310(x128941,x128943)))), % 242.47/242.53 inference(rename_variables,[],[4189])). % 242.47/242.53 cnf(12897,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),f330(f330(f82(a930),x128971),x128972)),x128972))), % 242.47/242.53 inference(rename_variables,[],[4793])). % 242.47/242.53 cnf(12898,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x128981),f330(a115,x128981)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(12903,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x129031,a925)),x129032),f246(f937(x129031,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(12906,plain, % 242.47/242.53 (E(f330(f288(x129061,x129061),f267(x129061,x129062)),x129062)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(12916,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x129161),f330(f192(f931(x129162)),f116(x129162))))), % 242.47/242.53 inference(scs_inference,[],[4213,12850,3764,12484,3788,11459,12521,12620,12623,12718,12760,12764,12772,3797,3806,3520,4743,4744,3418,3421,3422,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,3887,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,3481,12785,12789,12793,3487,3496,4010,4318,3617,3386,3748,4104,11798,3450,3380,3408,3868,3404,4225,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,4740,12757,3540,12123,4780,11365,11464,11707,11710,3654,4758,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,12685,12885,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815])). % 242.47/242.53 cnf(12917,plain, % 242.47/242.53 (~P1(f330(f330(f332(x129171),x129172),f191(f937(x129171,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12918,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(f931(x129181),f931(x129181))),f330(f330(f256(f931(x129181),f931(x129181)),f116(x129181)),f116(x129181))),f161(x129181,x129182)))), % 242.47/242.53 inference(rename_variables,[],[4332])). % 242.47/242.53 cnf(12920,plain, % 242.47/242.53 (P1(f330(f330(f332(f936(a930,a930)),f330(f330(f256(a930,a930),f2(a930)),f330(a115,f2(a930)))),f330(f330(f292(a930,a930,a930),f310(a930,a320)),f310(a930,f310(a930,a320)))))), % 242.47/242.53 inference(scs_inference,[],[4213,12850,3764,12484,3788,11459,12521,12620,12623,12718,12760,12764,12772,3797,3806,3520,4743,4744,3418,3421,3422,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,3887,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,3481,12785,12789,12793,3487,3496,4010,4318,3617,3386,3748,4104,11798,3450,3380,3408,3868,3404,4225,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,4740,12757,3540,12123,4780,11365,11464,11707,11710,3654,4758,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,12685,12885,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844])). % 242.47/242.53 cnf(12923,plain, % 242.47/242.53 (~P1(f330(f330(f332(x129231),x129232),f191(f937(x129231,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12928,plain, % 242.47/242.53 (P36(x129281,x129282,f116(x129281))), % 242.47/242.53 inference(rename_variables,[],[3486])). % 242.47/242.53 cnf(12931,plain, % 242.47/242.53 (E(f330(f192(f931(x129311)),f172(x129311,x129312,x129313)),x129312)), % 242.47/242.53 inference(rename_variables,[],[3617])). % 242.47/242.53 cnf(12934,plain, % 242.47/242.53 (~P1(f330(f330(f332(x129341),x129342),f191(f937(x129341,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12938,plain, % 242.47/242.53 (~P1(f330(f330(f332(f936(f931(x129381),f931(x129381))),f330(f330(f256(f931(x129381),f931(x129381)),x129382),x129382)),f150(x129381,f156(x129381,f116(f937(x129381,a930))))))), % 242.47/242.53 inference(scs_inference,[],[4213,12850,3764,12484,3788,11459,12521,12620,12623,12718,12760,12764,12772,3797,3806,3520,3486,4743,4744,3418,3421,3422,4742,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,3342,4706,3887,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,3481,12785,12789,12793,3487,3496,4010,4318,3617,12847,3386,3748,4104,11798,3450,3380,3408,3868,3404,4225,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,4740,12757,3540,12123,4780,11365,11464,11707,11710,3654,4758,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,12685,12885,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200])). % 242.47/242.53 cnf(12940,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x129401),x129401))), % 242.47/242.53 inference(rename_variables,[],[4769])). % 242.47/242.53 cnf(12943,plain, % 242.47/242.53 (P1(f330(f330(f332(x129431),x129432),f246(f937(x129431,a925))))), % 242.47/242.53 inference(rename_variables,[],[3703])). % 242.47/242.53 cnf(12944,plain, % 242.47/242.53 (E(f330(f192(f931(x129441)),f172(x129441,x129442,x129443)),x129442)), % 242.47/242.53 inference(rename_variables,[],[3617])). % 242.47/242.53 cnf(12947,plain, % 242.47/242.53 (~P1(f330(f330(f191(f937(x129471,f937(x129472,a925))),x129473),x129474))), % 242.47/242.53 inference(rename_variables,[],[4796])). % 242.47/242.53 cnf(12951,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x129511,a925)),x129512),x129512))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(12954,plain, % 242.47/242.53 (~P1(f330(f330(f332(x129541),x129542),f191(f937(x129541,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(12957,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),f2(a1)),f330(f330(f248(a1),f330(f77(a1),x129571)),x129572)))), % 242.47/242.53 inference(rename_variables,[],[4031])). % 242.47/242.53 cnf(12960,plain, % 242.47/242.53 (~E(f330(a115,x129601),x129601)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(12962,plain, % 242.47/242.53 (E(f330(f288(x129621,x129621),f267(x129621,x129622)),x129622)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(12967,plain, % 242.47/242.53 (P46(a25,x129671,x129672,x129671)), % 242.47/242.53 inference(rename_variables,[],[3764])). % 242.47/242.53 cnf(12969,plain, % 242.47/242.53 (P46(a25,x129691,x129692,x129691)), % 242.47/242.53 inference(rename_variables,[],[3764])). % 242.47/242.53 cnf(12973,plain, % 242.47/242.53 (E(f330(f288(x129731,x129731),f267(x129731,x129732)),x129732)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(12977,plain, % 242.47/242.53 (P37(x129771,x129772,f116(x129771),f116(x129771))), % 242.47/242.53 inference(rename_variables,[],[3797])). % 242.47/242.53 cnf(12979,plain, % 242.47/242.53 (P37(x129791,x129792,f116(x129791),f116(x129791))), % 242.47/242.53 inference(rename_variables,[],[3797])). % 242.47/242.53 cnf(12987,plain, % 242.47/242.53 (P28(x129871,x129871,f5(x129871),x129872)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12989,plain, % 242.47/242.53 (P28(x129891,x129891,f5(x129891),x129892)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(12992,plain, % 242.47/242.53 (E(f330(f330(x129921,x129922),f330(f187(x129923,x129924,x129921),x129922)),f330(f187(x129923,x129924,x129921),f330(a115,x129922)))), % 242.47/242.53 inference(rename_variables,[],[3950])). % 242.47/242.53 cnf(12996,plain, % 242.47/242.53 (~E(f330(f332(f936(f931(x129961),f931(x129961))),f330(f330(f256(f931(x129961),f931(x129961)),f116(x129961)),f116(x129961))),f330(f175(x129962),f116(x129962)))), % 242.47/242.53 inference(scs_inference,[],[4213,12850,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,3797,12587,12977,12979,3806,3520,3486,4743,4744,3418,3421,3422,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,3481,12785,12789,12793,3487,3496,4010,4318,3617,12847,12931,3386,3748,4104,11798,3450,3380,3408,3868,3404,4112,4225,3392,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,4780,11365,11464,11707,11710,3950,3654,4758,3621,3444,3445,10663,10994,3707,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,4731,11781,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923])). % 242.47/242.53 cnf(13000,plain, % 242.47/242.53 (E(f330(f288(x130001,x130001),f267(x130001,x130002)),x130002)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13002,plain, % 242.47/242.53 (P29(x130021,x130021,f33(x130021),x130022,x130022)), % 242.47/242.53 inference(rename_variables,[],[4213])). % 242.47/242.53 cnf(13004,plain, % 242.47/242.53 (P29(x130041,x130041,f33(x130041),x130042,x130042)), % 242.47/242.53 inference(rename_variables,[],[4213])). % 242.47/242.53 cnf(13006,plain, % 242.47/242.53 (P29(x130061,x130061,f33(x130061),x130062,x130062)), % 242.47/242.53 inference(rename_variables,[],[4213])). % 242.47/242.53 cnf(13010,plain, % 242.47/242.53 (E(f330(f288(x130101,x130101),f267(x130101,x130102)),x130102)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13012,plain, % 242.47/242.53 (E(f330(f288(x130121,x130121),f267(x130121,x130122)),x130122)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13014,plain, % 242.47/242.53 (E(f330(f288(x130141,x130141),f267(x130141,x130142)),x130142)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13020,plain, % 242.47/242.53 (E(f330(f288(x130201,x130201),f267(x130201,x130202)),x130202)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13026,plain, % 242.47/242.53 (P43(x130261,f267(x130261,x130262))), % 242.47/242.53 inference(rename_variables,[],[3419])). % 242.47/242.53 cnf(13030,plain, % 242.47/242.53 (E(f330(f288(x130301,x130301),f267(x130301,x130302)),x130302)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13032,plain, % 242.47/242.53 (E(f330(f288(x130321,x130321),f267(x130321,x130322)),x130322)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13036,plain, % 242.47/242.53 (E(f191(f937(f936(x130361,x130361),a925)),f267(x130361,f191(f937(x130361,a925))))), % 242.47/242.53 inference(rename_variables,[],[3621])). % 242.47/242.53 cnf(13038,plain, % 242.47/242.53 (P59(x130381,x130382,f267(x130381,x130382))), % 242.47/242.53 inference(rename_variables,[],[3519])). % 242.47/242.53 cnf(13040,plain, % 242.47/242.53 (P59(x130401,x130402,f267(x130401,x130402))), % 242.47/242.53 inference(rename_variables,[],[3519])). % 242.47/242.53 cnf(13042,plain, % 242.47/242.53 (P59(x130421,x130422,f267(x130421,x130422))), % 242.47/242.53 inference(rename_variables,[],[3519])). % 242.47/242.53 cnf(13044,plain, % 242.47/242.53 (P42(x130441,f156(x130441,x130442))), % 242.47/242.53 inference(rename_variables,[],[3418])). % 242.47/242.53 cnf(13048,plain, % 242.47/242.53 (P31(x130481,f2(a930),f330(f330(f330(f93(x130481),x130482),f330(a26,x130483)),x130484))), % 242.47/242.53 inference(rename_variables,[],[3926])). % 242.47/242.53 cnf(13054,plain, % 242.47/242.53 (P62(x130541,f191(f937(x130541,a925)),x130542)), % 242.47/242.53 inference(rename_variables,[],[3569])). % 242.47/242.53 cnf(13058,plain, % 242.47/242.53 (E(f330(f288(x130581,x130581),f267(x130581,x130582)),x130582)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13060,plain, % 242.47/242.53 (P27(x130601,x130602,f191(f937(f929(x130601),a925)))), % 242.47/242.53 inference(rename_variables,[],[3605])). % 242.47/242.53 cnf(13072,plain, % 242.47/242.53 (P17(x130721,f937(x130721,a925),f312(x130721))), % 242.47/242.53 inference(rename_variables,[],[3523])). % 242.47/242.53 cnf(13082,plain, % 242.47/242.53 (E(f191(f937(f936(x130821,x130821),a925)),f267(x130821,f191(f937(x130821,a925))))), % 242.47/242.53 inference(rename_variables,[],[3621])). % 242.47/242.53 cnf(13084,plain, % 242.47/242.53 (E(f191(f937(f936(x130841,x130841),a925)),f267(x130841,f191(f937(x130841,a925))))), % 242.47/242.53 inference(rename_variables,[],[3621])). % 242.47/242.53 cnf(13086,plain, % 242.47/242.53 (P58(x130861,f267(x130861,x130862))), % 242.47/242.53 inference(rename_variables,[],[3422])). % 242.47/242.53 cnf(13098,plain, % 242.47/242.53 (P61(x130981,x130981,f267(x130981,x130982))), % 242.47/242.53 inference(rename_variables,[],[3520])). % 242.47/242.53 cnf(13104,plain, % 242.47/242.53 (P48(x131041,x131042,x131043,x131044,f191(f937(x131041,a925)),x131044)), % 242.47/242.53 inference(rename_variables,[],[4490])). % 242.47/242.53 cnf(13122,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x131221),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13124,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),a85),f2(a1)))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3225,3231,3234,3250,3251,3253,3255,3308,3309,3311,3313,3314,3322,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,3481,12785,12789,12793,3487,3496,4010,4318,3617,12847,12931,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,4786,11900,11931,11966,11973,12006,3990,3755,4137,3578,3579,3553,4770,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,4373,4776,4043,4079,4761,4764,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,4795,12023,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,4336,4031,3976,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705])). % 242.47/242.53 cnf(13131,plain, % 242.47/242.53 (~P1(f330(f330(f240(a1),f330(f103(a1),x131311)),f330(f81(a1),f330(f103(a1),x131312))))), % 242.47/242.53 inference(rename_variables,[],[4791])). % 242.47/242.53 cnf(13141,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x131411),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13144,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x131441),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13147,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x131471,x131472)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13150,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x131501,x131502)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13153,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x131531,x131532)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13156,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x131561,x131562)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13163,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),f330(f81(a1),f330(f103(a1),x131631))),f330(f103(a1),x131632)))), % 242.47/242.53 inference(rename_variables,[],[4032])). % 242.47/242.53 cnf(13165,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),f2(a1)),f330(f106(a1),f2(a1))))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3225,3231,3234,3250,3251,3252,3253,3255,3308,3309,3311,3313,3314,3322,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,3481,12785,12789,12793,3487,3496,4010,4318,3617,12847,12931,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,4786,11900,11931,11966,11973,12006,3990,3755,3757,13147,13150,13153,4137,3578,3579,3553,4770,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,12150,4373,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,4336,4031,3976,3977,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254])). % 242.47/242.53 cnf(13168,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x131681),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13169,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x131691),x131691))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13176,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x131761),f330(a115,x131761)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(13180,plain, % 242.47/242.53 (~P1(f330(f330(f240(a1),f2(a1)),f330(f106(a1),f2(a1))))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3225,3231,3234,3250,3251,3252,3253,3255,3308,3309,3311,3313,3314,3322,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,3481,12785,12789,12793,3487,3496,4010,4318,3617,12847,12931,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,3893,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,4786,11900,11931,11966,11973,12006,3990,3755,3757,13147,13150,13153,4137,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,3611,10991,11021,11030,11033,11036,11643,12854,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,12150,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,4336,4031,3976,3977,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507])). % 242.47/242.53 cnf(13183,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x131831),x131831))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13186,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x131861,x131862)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13189,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x131891,x131892)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13192,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x131921),x131921))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13193,plain, % 242.47/242.53 (~E(f330(a115,x131931),f2(a930))), % 242.47/242.53 inference(rename_variables,[],[4720])). % 242.47/242.53 cnf(13210,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f47(a930,x132101,x132102)),x132101))), % 242.47/242.53 inference(rename_variables,[],[4008])). % 242.47/242.53 cnf(13215,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x132151),f330(a115,x132151)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(13218,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x132181),f330(a115,x132181)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(13219,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x132191),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13228,plain, % 242.47/242.53 (~P1(f330(f330(f240(a1),f330(f103(a1),x132281)),f2(a1)))), % 242.47/242.53 inference(rename_variables,[],[4786])). % 242.47/242.53 cnf(13229,plain, % 242.47/242.53 (P1(f330(f246(f937(x132291,a925)),x132292))), % 242.47/242.53 inference(rename_variables,[],[3611])). % 242.47/242.53 cnf(13232,plain, % 242.47/242.53 (~P1(f330(f330(f240(a1),f330(f103(a1),x132321)),f2(a1)))), % 242.47/242.53 inference(rename_variables,[],[4786])). % 242.47/242.53 cnf(13233,plain, % 242.47/242.53 (P1(f330(f246(f937(x132331,a925)),x132332))), % 242.47/242.53 inference(rename_variables,[],[3611])). % 242.47/242.53 cnf(13236,plain, % 242.47/242.53 (P1(f330(f246(f937(x132361,a925)),x132362))), % 242.47/242.53 inference(rename_variables,[],[3611])). % 242.47/242.53 cnf(13247,plain, % 242.47/242.53 (~P1(f330(f330(f332(x132471),x132472),f191(f937(x132471,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13248,plain, % 242.47/242.53 (P1(f330(f63(x132481),f191(f937(x132481,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13250,plain, % 242.47/242.53 (~P1(f330(f330(f239(a1),f330(f106(a1),a85)),f330(f106(a1),a100)))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3225,3231,3234,3250,3251,3252,3253,3255,3258,3308,3309,3311,3313,3314,3322,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,3481,12785,12789,12793,3487,3496,4010,4318,3617,12847,12931,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,3893,4067,4114,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,4786,11900,11931,11966,11973,12006,13228,3990,3755,3757,13147,13150,13153,13156,13186,4137,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,3626,12502,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,3643,4071,4008,10642,12029,12057,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,4032,12150,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,4794,12003,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127])). % 242.47/242.53 cnf(13257,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x132571))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(13260,plain, % 242.47/242.53 (~P1(f330(f330(f332(x132601),x132602),f191(f937(x132601,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13263,plain, % 242.47/242.53 (~P1(f330(f330(f332(x132631),x132632),f191(f937(x132631,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13266,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x132661),x132661))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13274,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x132741),f330(a115,x132741)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(13277,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x132771),x132771))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13282,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x132821),x132821))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13285,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x132851),x132851))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13288,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x132881),x132881))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13291,plain, % 242.47/242.53 (E(f330(f330(f23(f937(x132911,a925)),f191(f937(x132911,a925))),x132912),f191(f937(x132911,a925)))), % 242.47/242.53 inference(rename_variables,[],[3818])). % 242.47/242.53 cnf(13292,plain, % 242.47/242.53 (P1(f330(f63(x132921),f191(f937(x132921,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13295,plain, % 242.47/242.53 (E(f330(f330(f23(f937(x132951,a925)),f191(f937(x132951,a925))),x132952),f191(f937(x132951,a925)))), % 242.47/242.53 inference(rename_variables,[],[3818])). % 242.47/242.53 cnf(13296,plain, % 242.47/242.53 (P1(f330(f63(x132961),f191(f937(x132961,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13299,plain, % 242.47/242.53 (E(f330(f330(f23(f937(x132991,a925)),f191(f937(x132991,a925))),x132992),f191(f937(x132991,a925)))), % 242.47/242.53 inference(rename_variables,[],[3818])). % 242.47/242.53 cnf(13300,plain, % 242.47/242.53 (P1(f330(f63(x133001),f191(f937(x133001,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13303,plain, % 242.47/242.53 (E(f330(f330(f23(f937(x133031,a925)),f191(f937(x133031,a925))),x133032),f191(f937(x133031,a925)))), % 242.47/242.53 inference(rename_variables,[],[3818])). % 242.47/242.53 cnf(13304,plain, % 242.47/242.53 (P1(f330(f63(x133041),f191(f937(x133041,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13308,plain, % 242.47/242.53 (E(f330(f288(x133081,x133081),f267(x133081,x133082)),x133082)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13313,plain, % 242.47/242.53 (E(f330(f330(f23(f937(x133131,a925)),f191(f937(x133131,a925))),x133132),f191(f937(x133131,a925)))), % 242.47/242.53 inference(rename_variables,[],[3818])). % 242.47/242.53 cnf(13314,plain, % 242.47/242.53 (P1(f330(f63(x133141),f191(f937(x133141,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13318,plain, % 242.47/242.53 (P1(f330(f63(x133181),f191(f937(x133181,a925))))), % 242.47/242.53 inference(rename_variables,[],[3626])). % 242.47/242.53 cnf(13321,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x133211),x133211))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13325,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x133251),x133251))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13334,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x133341),x133341))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13345,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x133451),x133451))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13348,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x133481),x133481))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13355,plain, % 242.47/242.53 (~P1(f330(f330(f332(x133551),x133552),f191(f937(x133551,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13366,plain, % 242.47/242.53 (P1(f330(f330(f332(x133661),x133662),f246(f937(x133661,a925))))), % 242.47/242.53 inference(rename_variables,[],[3703])). % 242.47/242.53 cnf(13367,plain, % 242.47/242.53 (E(f330(f195(x133671,x133672),x133673),f124(x133671,x133672))), % 242.47/242.53 inference(rename_variables,[],[3464])). % 242.47/242.53 cnf(13369,plain, % 242.47/242.53 (~P28(f931(x133691),x133692,f195(x133693,x133694),f164(x133691,f246(f937(x133691,a925))))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3210,3216,3225,3231,3234,3250,3251,3252,3253,3255,3258,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,3757,13147,13150,13153,13156,13186,4137,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,4790,11127,11544,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,3571,11024,11187,11260,12058,12201,12399,12610,12635,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124])). % 242.47/242.53 cnf(13373,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x133731,a925)),x133732),f246(f937(x133731,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(13376,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x133761,a925)),x133762),x133762))), % 242.47/242.53 inference(rename_variables,[],[3847])). % 242.47/242.53 cnf(13382,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x133821),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13383,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x133831),x133831))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13387,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x133871),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13388,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x133881),x133881))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13393,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x133931),x133931))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13394,plain, % 242.47/242.53 (P1(f330(f63(a930),f306(a930,x133941,x133942)))), % 242.47/242.53 inference(rename_variables,[],[3755])). % 242.47/242.53 cnf(13401,plain, % 242.47/242.53 (E(f330(f330(f16(x134011,x134012),x134013),x134014),x134013)), % 242.47/242.53 inference(rename_variables,[],[3540])). % 242.47/242.53 cnf(13404,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134041,a925)),f330(f175(x134041),f179(x134041,x134042,x134043))),f330(f175(x134041),x134042)))), % 242.47/242.53 inference(rename_variables,[],[4248])). % 242.47/242.53 cnf(13408,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x134081),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13409,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x134091),x134091))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13413,plain, % 242.47/242.53 (~P1(f330(f330(f240(a930),x134131),f2(a930)))), % 242.47/242.53 inference(rename_variables,[],[4773])). % 242.47/242.53 cnf(13414,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x134141),x134141))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13419,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x134191),x134191))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13422,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),x134221),x134221))), % 242.47/242.53 inference(rename_variables,[],[3551])). % 242.47/242.53 cnf(13425,plain, % 242.47/242.53 (~P1(f330(f330(f239(a930),f330(a115,x134251)),x134251))), % 242.47/242.53 inference(rename_variables,[],[4779])). % 242.47/242.53 cnf(13431,plain, % 242.47/242.53 (P1(f330(f330(f332(x134311),f330(x134312,x134313)),f330(f313(x134314,x134311,x134312),f246(f937(x134314,a925)))))), % 242.47/242.53 inference(rename_variables,[],[4155])). % 242.47/242.53 cnf(13432,plain, % 242.47/242.53 (P28(x134321,x134321,f5(x134321),x134322)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13437,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134371,a925)),x134372),f246(f937(x134371,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(13438,plain, % 242.47/242.53 (P28(x134381,x134381,f5(x134381),x134382)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13442,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134421,a925)),x134422),f246(f937(x134421,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(13443,plain, % 242.47/242.53 (P28(x134431,x134431,f5(x134431),x134432)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13447,plain, % 242.47/242.53 (P28(x134471,x134471,f5(x134471),x134472)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13449,plain, % 242.47/242.53 (~P1(f330(f330(f240(f937(a930,a925)),f330(f313(a1,a930,a107),f191(f937(a1,a925)))),f330(f313(a1,a930,a107),f191(f937(a1,a925)))))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3210,3216,3225,3231,3234,3250,3251,3252,3253,3255,3258,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,4137,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,4790,11127,11544,12654,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,3863,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,4330,4000,11027,11407,11585,11619,11630,12767,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276])). % 242.47/242.53 cnf(13450,plain, % 242.47/242.53 (~P1(f330(f330(f240(f937(x134501,a925)),x134502),f191(f937(x134501,a925))))), % 242.47/242.53 inference(rename_variables,[],[4790])). % 242.47/242.53 cnf(13453,plain, % 242.47/242.53 (P28(x134531,x134531,f5(x134531),x134532)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13456,plain, % 242.47/242.53 (P28(x134561,x134561,f5(x134561),x134562)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13462,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134621,a925)),x134622),f246(f937(x134621,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(13467,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134671,a925)),f191(f937(x134671,a925))),x134672))), % 242.47/242.53 inference(rename_variables,[],[4000])). % 242.47/242.53 cnf(13469,plain, % 242.47/242.53 (~E(f116(f931(x134691)),f330(f330(f137(f931(x134691)),x134692),f330(f330(f154(f931(x134691)),f116(x134691)),x134693)))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3207,3210,3216,3225,3231,3234,3250,3251,3252,3253,3255,3258,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,4145,4780,11365,11464,11707,11710,3950,12992,3654,3874,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,4003,12026,4438,3533,3630,11857,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,4137,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,4248,11388,12515,12590,12650,12697,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,4790,11127,11544,12654,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,3998,11300,11306,11326,12323,12449,12541,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,4330,4000,11027,11407,11585,11619,11630,12767,12817,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548])). % 242.47/242.53 cnf(13471,plain, % 242.47/242.53 (E(f330(f288(x134711,x134711),f267(x134711,x134712)),x134712)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13475,plain, % 242.47/242.53 (~P1(f330(f330(f332(x134751),x134752),f191(f937(x134751,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13478,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134781,a925)),x134782),f330(f330(f312(x134781),x134783),x134782)))), % 242.47/242.53 inference(rename_variables,[],[3998])). % 242.47/242.53 cnf(13480,plain, % 242.47/242.53 (P28(x134801,x134801,f5(x134801),x134802)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13483,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x134831,a925)),x134832),f246(f937(x134831,a925))))), % 242.47/242.53 inference(rename_variables,[],[3933])). % 242.47/242.53 cnf(13494,plain, % 242.47/242.53 (~P1(f330(f330(f332(x134941),x134942),f191(f937(x134941,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13497,plain, % 242.47/242.53 (~P1(f330(f330(f332(x134971),x134972),f191(f937(x134971,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13500,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x135001),f330(a115,x135001)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(13501,plain, % 242.47/242.53 (~E(f330(a115,x135011),x135011)), % 242.47/242.53 inference(rename_variables,[],[4710])). % 242.47/242.53 cnf(13504,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x135041),f330(a115,f330(f330(f82(a930),x135042),x135041))))), % 242.47/242.53 inference(rename_variables,[],[4001])). % 242.47/242.53 cnf(13505,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),x135051),f330(a115,x135051)))), % 242.47/242.53 inference(rename_variables,[],[3618])). % 242.47/242.53 cnf(13514,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),f2(a1)),f330(f103(a1),x135141)))), % 242.47/242.53 inference(rename_variables,[],[3650])). % 242.47/242.53 cnf(13517,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x135171))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(13521,plain, % 242.47/242.53 (~E(f330(a115,x135211),f2(a930))), % 242.47/242.53 inference(rename_variables,[],[4720])). % 242.47/242.53 cnf(13524,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),x135241),x135241))), % 242.47/242.53 inference(rename_variables,[],[3552])). % 242.47/242.53 cnf(13525,plain, % 242.47/242.53 (P1(f330(f63(a1),f306(a1,x135251,x135252)))), % 242.47/242.53 inference(rename_variables,[],[3758])). % 242.47/242.53 cnf(13530,plain, % 242.47/242.53 (~P1(f330(f330(f332(x135301),x135302),f191(f937(x135301,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13533,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x135331,x135332)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13534,plain, % 242.47/242.53 (E(f330(f330(f238(a930),f330(a115,x135341)),f330(a115,x135342)),f330(a115,f330(f330(f238(a930),x135341),x135342)))), % 242.47/242.53 inference(rename_variables,[],[3720])). % 242.47/242.53 cnf(13537,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x135371,x135372)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13538,plain, % 242.47/242.53 (E(f330(f330(f237(a930),f330(a115,x135381)),f330(a115,x135382)),f330(a115,f330(f330(f237(a930),x135381),x135382)))), % 242.47/242.53 inference(rename_variables,[],[3719])). % 242.47/242.53 cnf(13541,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x135411,x135412)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13545,plain, % 242.47/242.53 (P1(f330(f63(a930),f308(a930,x135451,x135452)))), % 242.47/242.53 inference(rename_variables,[],[3757])). % 242.47/242.53 cnf(13550,plain, % 242.47/242.53 (~P1(f330(f330(f332(x135501),x135502),f191(f937(x135501,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13551,plain, % 242.47/242.53 (E(f330(f330(f16(x135511,x135512),x135513),x135514),x135513)), % 242.47/242.53 inference(rename_variables,[],[3540])). % 242.47/242.53 cnf(13554,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x135541,a925)),f330(f175(x135541),f330(f139(x135541,x135542),x135543))),f330(f175(x135541),x135543)))), % 242.47/242.53 inference(rename_variables,[],[4198])). % 242.47/242.53 cnf(13555,plain, % 242.47/242.53 (E(f330(f330(f16(x135551,x135552),x135553),x135554),x135553)), % 242.47/242.53 inference(rename_variables,[],[3540])). % 242.47/242.53 cnf(13558,plain, % 242.47/242.53 (P1(f330(f330(f239(f937(x135581,a925)),f330(f175(x135581),f330(f330(f178(x135581),x135582),x135583))),f330(f175(x135581),x135583)))), % 242.47/242.53 inference(rename_variables,[],[4243])). % 242.47/242.53 cnf(13559,plain, % 242.47/242.53 (E(f330(f330(f16(x135591,x135592),x135593),x135594),x135593)), % 242.47/242.53 inference(rename_variables,[],[3540])). % 242.47/242.53 cnf(13563,plain, % 242.47/242.53 (E(f330(f330(f16(x135631,x135632),x135633),x135634),x135633)), % 242.47/242.53 inference(rename_variables,[],[3540])). % 242.47/242.53 cnf(13576,plain, % 242.47/242.53 (P1(f330(f330(f239(a1),f2(a1)),f330(f103(a1),x135761)))), % 242.47/242.53 inference(rename_variables,[],[3650])). % 242.47/242.53 cnf(13581,plain, % 242.47/242.53 (P28(x135811,x135811,f5(x135811),x135812)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13584,plain, % 242.47/242.53 (~P1(f330(f330(f332(x135841),x135842),f191(f937(x135841,a925))))), % 242.47/242.53 inference(rename_variables,[],[4782])). % 242.47/242.53 cnf(13585,plain, % 242.47/242.53 (E(f330(f288(x135851,x135851),f267(x135851,x135852)),x135852)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13586,plain, % 242.47/242.53 (P28(x135861,x135861,f5(x135861),x135862)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13590,plain, % 242.47/242.53 (E(f330(f288(x135901,x135901),f267(x135901,x135902)),x135902)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13591,plain, % 242.47/242.53 (P28(x135911,x135911,f5(x135911),x135912)), % 242.47/242.53 inference(rename_variables,[],[3788])). % 242.47/242.53 cnf(13604,plain, % 242.47/242.53 (P1(f330(f330(f239(a930),f2(a930)),x136041))), % 242.47/242.53 inference(rename_variables,[],[3571])). % 242.47/242.53 cnf(13605,plain, % 242.47/242.53 (P1(f330(f330(f240(a930),f2(a930)),f330(a115,x136051)))), % 242.47/242.53 inference(rename_variables,[],[3630])). % 242.47/242.53 cnf(13606,plain, % 242.47/242.53 (E(f330(f288(x136061,x136061),f267(x136061,x136062)),x136062)), % 242.47/242.53 inference(rename_variables,[],[3510])). % 242.47/242.53 cnf(13633,plain, % 242.47/242.53 (~E(f330(f330(f154(x136331),x136332),x136333),f330(f171(x136331),f116(x136331)))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940])). % 242.47/242.53 cnf(13685,plain, % 242.47/242.53 (~P1(f330(f330(f240(a1),f2(a1)),f2(a1)))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910])). % 242.47/242.53 cnf(13687,plain, % 242.47/242.53 (P1(f330(f330(f240(a1),f2(a1)),f330(f77(a1),f80(a1))))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910,5911])). % 242.47/242.53 cnf(13709,plain, % 242.47/242.53 (~P1(f330(f63(x137091),f39(f937(x137091,a925),f246(f937(f937(x137091,a925),a925)))))), % 242.47/242.53 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910,5911,5937,5941,6000,6002,6011,6017,6099,6179,6330,6386,6494])). % 242.47/242.53 cnf(13739,plain, % 242.47/242.53 (~P1(f330(f330(f239(f937(a1,a925)),f330(f313(a930,a1,f103(a1)),f306(a930,f2(a930),f2(a930)))),f330(f313(a930,a1,f103(a1)),f306(a930,f330(a115,f2(a930)),x137391))))), % 242.47/242.54 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910,5911,5937,5941,6000,6002,6011,6017,6099,6179,6330,6386,6494,6616,6777,6978,7233,7401,7637,7707,8040,8042,8141,8303,8309,9019,9258,9360])). % 242.47/242.54 cnf(13759,plain, % 242.47/242.54 (~P1(f330(f330(f239(a930),f330(a115,f330(f145(a930,a930,f82(a930),f2(a930)),f172(a930,f330(a115,f2(a930)),f330(a115,f2(a930)))))),f330(a115,f2(a930))))), % 242.47/242.54 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3450,3918,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,13545,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,12947,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910,5911,5937,5941,6000,6002,6011,6017,6099,6179,6330,6386,6494,6616,6777,6978,7233,7401,7637,7707,8040,8042,8141,8303,8309,9019,9258,9360,9601,9880,5167,5308,5312,5507,5903,6149])). % 242.47/242.54 cnf(13774,plain, % 242.47/242.54 (P1(f330(f330(f239(a930),f330(f330(f82(a930),f2(a930)),x137741)),x137741))), % 242.47/242.54 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,4010,4318,3464,13367,3617,12847,12931,3383,3386,3748,4104,11798,3605,13060,3447,3450,3918,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,13545,3758,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,12701,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,12947,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910,5911,5937,5941,6000,6002,6011,6017,6099,6179,6330,6386,6494,6616,6777,6978,7233,7401,7637,7707,8040,8042,8141,8303,8309,9019,9258,9360,9601,9880,5167,5308,5312,5507,5903,6149,6181,6226,6246,6256,6280,6294,6548])). % 242.47/242.54 cnf(13794,plain, % 242.47/242.54 (P1(f330(f330(f240(f937(a1,a925)),f330(f313(a1,a1,f5(a1)),f306(a1,f80(a1),f2(a1)))),f330(f313(a1,a1,f5(a1)),f306(a1,f2(a1),f80(a1)))))), % 242.47/242.54 inference(scs_inference,[],[4803,4213,12850,12872,13002,13004,13006,3764,12484,12506,12967,12969,3788,11459,12521,12620,12623,12718,12760,12764,12772,12844,12987,12989,13432,13438,13443,13447,13453,13456,13480,13581,13586,13591,3797,12587,12977,12979,3806,3519,13038,13040,13042,3520,13098,3486,12928,4743,4744,12103,4490,13104,3523,13072,3360,3418,13044,3419,13026,3420,3421,3422,12800,13086,4742,3849,4710,10530,10540,10553,10564,10567,10671,10674,10677,10778,10915,11232,11429,11432,11451,11454,11660,11755,11762,11776,11822,11825,11858,11873,11936,11993,12009,12302,12327,12339,12368,12374,12466,12583,12753,12814,12960,13501,4723,10762,10864,11339,3606,3569,13054,3754,12274,3470,4720,11253,13193,13521,3157,3158,3163,3164,3171,3172,3174,3175,3178,3179,3181,3182,3183,3185,3190,3191,3194,3195,3202,3203,3204,3205,3207,3210,3211,3214,3216,3225,3231,3234,3247,3250,3251,3252,3253,3255,3258,3265,3282,3283,3284,3297,3308,3309,3311,3312,3313,3314,3322,3323,3330,4705,3342,3417,4706,3887,4118,12040,3394,11752,3531,3507,3510,10602,10605,10698,10701,11018,11767,11770,11884,11923,11928,12035,12075,12487,12694,12906,12962,12973,13000,13010,13012,13014,13020,13030,13032,13058,13308,13471,13585,13590,13606,3481,12785,12789,12793,3487,3496,3602,4010,4318,3464,13367,3617,12847,12931,12944,3383,3386,3748,4104,11798,3605,13060,3447,3450,3918,3380,3408,3868,3926,13048,3404,3512,4222,4112,3429,3931,4225,3392,3366,3370,4022,3428,3607,11182,11309,12584,12804,3480,3505,4187,4733,10593,10759,11657,12745,12786,12790,4740,12757,3540,12123,12126,13401,13551,13555,13559,13563,4145,4780,11365,11464,11707,11710,3950,12992,3535,3654,3874,3646,4758,3621,13036,13082,13084,3444,3445,10663,10994,4767,3707,3437,3361,3466,11788,4332,12775,12918,4189,11385,11520,11588,12729,12735,12861,12864,12894,4798,11287,11533,11651,11677,11715,11721,12673,4799,11418,11536,11654,11718,4800,11539,11599,4801,11606,4802,3465,3746,12626,12670,12756,3914,3696,4604,4605,3730,3769,4731,11781,3891,3851,3893,4067,3818,13291,13295,13299,13303,13313,4114,12617,3732,3993,3618,10682,10801,10881,10954,10957,10997,11103,11355,11970,12212,12298,12361,12437,12475,12561,12564,12898,13176,13215,13218,13274,13500,13505,4003,12026,4438,3533,3630,11857,12138,13605,3812,4773,10570,10573,10599,10722,10899,11111,11124,11242,11699,11791,11969,12187,12192,12211,12413,12416,12499,12676,12779,13122,13141,13144,13168,13219,13382,13387,13408,13413,4786,11900,11931,11966,11973,12006,13228,13232,3990,3755,13394,3757,13147,13150,13153,13156,13186,13189,13533,13537,13541,13545,3758,13525,4137,3719,13538,3720,13534,3578,3579,3553,4770,3443,4728,3941,4254,3739,4787,4325,11674,3873,3590,12144,12147,12591,12698,12875,4778,10558,10561,10730,10825,10844,10851,10876,10884,10887,10904,11092,11342,11568,11851,11945,12094,12205,12208,4294,4253,12291,12641,4198,11179,12469,12651,12803,13554,4243,13558,4248,11388,12515,12590,12650,12697,13404,4249,3915,11977,12301,12444,12528,12574,4282,3933,10725,10822,11391,11469,11558,11625,12465,12542,12809,12871,12891,12903,13373,13437,13442,13462,13483,4790,11127,11544,12654,13450,3550,10691,10788,10940,11004,11876,12097,12141,12172,12271,12326,12518,12535,12657,12701,3551,11081,11130,11133,11164,11190,11226,11267,11303,12342,12345,12348,12351,12549,12552,12555,12558,12634,12820,12867,13169,13192,13266,13277,13282,13285,13288,13321,13334,13345,13393,13419,13422,3552,10773,11009,11106,11229,12175,12184,12277,12288,12307,12312,12354,12377,12394,13183,13325,13348,13383,13388,13409,13414,13524,3626,12502,13248,13292,13296,13300,13304,13314,13318,4769,10610,10639,11148,11193,11202,12054,12078,12245,12248,12251,12254,12338,12357,12360,12373,12425,12428,12431,12434,12602,12605,12704,12707,12813,12853,12940,3703,10869,10960,11237,11284,11523,11526,11614,11696,11861,12106,12752,12943,13366,4782,11157,11167,11276,11294,11297,11368,11371,11382,11485,11493,11507,11547,11573,11582,11622,11663,11668,11671,11690,11693,11724,11729,11732,11735,11738,11976,12120,12153,12419,12422,12456,12503,12538,12682,12726,12732,12832,12835,12857,12917,12923,12934,12954,13247,13260,13263,13355,13475,13494,13497,13530,13550,13584,3611,10991,11021,11030,11033,11036,11643,12854,12868,13229,13233,13236,3650,13514,13576,3643,4071,4008,10642,12029,12057,13210,4779,10590,10979,10982,11488,11504,11992,12045,12082,12107,12202,12233,12236,12239,12242,12498,13425,3571,11024,11187,11260,12058,12201,12399,12610,12635,13257,13517,13604,4032,12150,13163,4373,3761,4776,4043,4079,4761,4764,4765,3526,3530,4763,4762,4541,3863,12022,4468,11883,4792,10890,10893,4797,11374,11377,11576,11687,11704,11744,4155,11741,12081,12085,12763,12771,12860,13431,3998,11300,11306,11326,12323,12449,12541,12828,13478,3847,11444,11579,12567,12679,12689,12768,12823,12831,12951,13376,4330,4000,11027,11407,11585,11619,11630,12767,12817,13467,3815,10943,10946,11039,11213,3814,4795,12023,4791,13131,4796,10781,10896,11561,12629,12638,12685,12885,12888,12947,4428,11170,12647,12665,12688,4336,4031,12957,3976,3977,4793,10615,10618,10985,10988,11897,12086,12897,4794,12003,12091,4001,10949,11219,13504,4268,4810,4836,4892,4896,4924,4939,4946,4948,4984,4989,5018,5024,5110,5136,5137,5152,5174,5202,5203,5225,5226,5240,5243,5268,5274,5290,5293,5294,5295,5300,5301,5324,5348,5350,5351,5361,5366,5372,5409,5410,5418,5426,5430,5432,5446,5448,5454,5459,5460,5473,5479,5482,5483,5487,5521,5535,5544,5546,5547,5550,5551,5552,5562,5564,5570,5571,5572,5578,5582,5583,5584,5592,5596,5597,5602,5615,5623,5635,5637,5645,5647,5648,5651,5655,5681,5695,5696,5711,5723,5745,5751,5773,5774,5777,5796,5804,5805,5810,5811,5821,5823,5835,5839,5848,5849,5851,5852,5868,5873,5882,5883,5894,5901,5915,5919,5922,5928,5929,5930,5933,5938,5974,5975,5978,5980,5982,5984,5985,5986,5988,5990,5992,5997,6004,6019,6033,6039,6040,6043,6054,6055,6062,6064,6068,6070,6076,6084,6120,6133,6142,6145,6154,6158,6159,6160,6161,6162,6166,6171,6182,6188,6206,6209,6220,6249,6263,6290,6307,6308,6311,6325,6327,6329,6331,6346,6347,6350,6352,6355,6356,6371,6379,6380,6381,6383,6385,6420,6421,6426,6429,6435,6439,6473,6475,6477,6479,6488,6490,6492,6498,6500,6505,6508,6516,6524,6526,6527,6533,6554,6555,6556,6557,6558,6560,6566,6571,6604,6605,6608,6609,6610,6612,6613,6614,6615,6623,6657,6658,6659,6668,6690,6691,6711,6713,6725,6726,6734,6764,6766,6780,6784,6802,6821,6823,6824,6876,6899,6941,6960,6969,6970,6971,6972,6990,6991,6998,7010,7013,7015,7017,7018,7019,7021,7035,7046,7047,7048,7061,7113,7124,7126,7130,7148,7149,7185,7193,7198,7228,7257,7313,7342,7397,7418,7426,7429,7492,7502,7566,7568,7582,7593,7594,7595,7611,7615,7617,7666,7676,7682,7697,7746,7748,7751,7792,7793,7811,7873,7880,7898,7921,7944,7956,7971,7982,7993,7994,8022,8024,8026,8035,8077,8088,8113,8173,8204,8239,8286,8302,8304,8320,8321,8386,8397,8464,8488,8493,8508,8535,8536,8577,8578,8595,8635,8637,8639,8646,8663,8667,8682,8704,8715,8717,8730,8735,8739,8740,8741,8742,8743,8744,8766,8780,8781,8799,8800,8805,8806,8807,8808,8809,8827,8828,8829,8839,8852,8855,8866,8871,8873,8875,8876,8877,8884,8890,8898,8901,8918,8919,8928,8929,8937,8956,8969,8973,8994,9016,9017,9020,9021,9027,9036,9037,9060,9071,9081,9082,9083,9086,9109,9110,9121,9171,9177,9183,9185,9203,9206,9217,9218,9219,9230,9296,9327,9328,9329,9344,9361,9369,9370,9398,9399,9400,9402,9449,9474,9505,9511,9521,9522,9523,9532,9560,9576,9580,9584,9606,9607,9634,9697,9702,9705,9737,9738,9739,9763,9764,9781,9802,9808,9820,9845,9866,9875,9876,9877,9878,9893,9895,9900,9930,9931,9937,9938,9982,9983,9994,9995,10019,10037,10039,10040,10048,10053,10060,10084,10118,10120,10124,10174,10214,10215,10217,10226,10227,10247,10252,10343,10432,10433,10434,10435,10496,10514,2,8,9,4823,4824,4842,4884,4885,4887,4911,4917,4918,4928,4973,4975,5023,5153,5154,5168,5191,5246,5247,5253,5254,5256,5258,5267,5270,5271,5279,5291,5292,5298,5319,5320,5337,5342,5343,5344,5345,5349,5357,5360,5367,5423,5428,5429,5434,5440,5470,5480,5485,5501,5519,5520,5527,5528,5529,5540,5558,5560,5561,5568,5575,5576,5588,5589,5590,5591,5593,5594,5598,5599,5600,5601,5631,5632,5633,5641,5642,5643,5644,5687,5692,5694,5730,5732,5733,5735,5736,5738,5739,5741,5750,5755,5756,5757,5759,5761,5762,5763,5764,5765,5766,5775,5785,5788,5799,5815,5816,5819,5829,5831,5832,5833,5860,5870,5885,5886,5895,5896,5898,5900,5905,5940,5945,5947,6006,6041,6042,6047,6053,6056,6057,6058,6059,6071,6081,6085,6086,6095,6117,6146,6165,6169,6170,6172,6196,6200,6203,6204,6205,6222,6233,6234,6265,6266,6270,6292,6295,6298,6319,6320,6348,6351,6359,6370,6378,6382,6390,6391,6392,6393,6423,6440,6491,6528,6530,6551,6552,6559,6563,6564,6567,6581,6596,6617,6618,6621,6624,6633,6635,6650,6671,6678,6680,6695,6696,6699,6700,6702,6704,6705,6706,6708,6710,6712,6718,6719,6721,6722,6728,6730,6774,6779,6795,6797,6798,6799,6834,6839,6841,6846,6847,6855,6859,6871,6894,6895,6897,6898,6909,6914,6933,6936,6954,6984,6985,6986,6992,7006,7025,7027,7029,7031,7036,7042,7044,7058,7063,7064,7099,7100,7101,7115,7116,7118,7119,7138,7140,7157,7183,7206,7217,7219,7221,7223,7224,7255,7256,7260,7261,7268,7269,7271,7273,7295,7304,7305,7316,7326,7366,7376,7380,7387,7398,7403,7405,7412,7420,7433,7450,7471,7473,7490,7495,7548,7549,7550,7552,7555,7559,7565,7567,7630,7649,7662,7679,7680,7685,7696,7728,7731,7754,7776,7794,7797,7798,7808,7828,7830,7832,7834,7835,7836,7861,7888,7889,7920,7922,7923,7924,7929,7950,7968,7973,7979,7981,7989,8001,8002,8004,8027,8033,8060,8126,8127,8128,8176,8182,8183,8206,8207,8226,8227,8228,8293,8294,8323,8324,8356,8366,8377,8389,8419,8423,8429,8441,8459,8465,8487,8533,8565,8579,8598,8601,8628,8654,8718,8719,8722,8723,8797,8831,8832,8833,8834,8861,8893,8922,8930,8931,8972,8993,9038,9054,9100,9103,9118,9125,9168,9213,9214,9232,9233,9247,9366,9372,9376,9396,9412,9436,9438,9441,9447,9450,9451,9461,9462,9481,9487,9497,9504,9546,9564,9619,9620,9626,9665,9688,9694,9733,9743,9746,9747,9749,9750,9762,9765,9786,9801,9810,9811,9813,9815,9844,9964,9965,10014,10015,10054,10089,10200,10256,10319,10406,10424,10429,3,2877,2884,2885,2886,2887,2888,2890,2905,2907,2908,2910,2911,2912,2913,2914,2916,2918,2919,2920,2921,2922,2923,2924,2931,2934,2935,2936,2937,2938,2941,2942,2943,2945,2946,2948,2949,2955,2962,2963,2965,2966,2968,2969,2979,2980,2981,2982,2983,2984,3001,3002,3004,3005,3006,3007,3008,3015,3023,3024,3025,3029,3030,3031,3032,3033,3040,3042,3045,3046,3050,3054,3055,3057,3058,3061,3062,3081,3082,3088,3090,3098,3113,3114,3115,3116,3119,3120,3121,3125,3151,5518,5557,5703,5704,5705,5786,5884,5914,5948,5964,5966,5972,6034,6035,6036,6037,6045,6083,6217,6254,6264,6289,6323,6360,6507,6512,6549,6550,6572,6574,6576,6583,6584,6585,6586,6587,6588,6589,6590,6673,6744,6745,6833,6866,6867,6906,6907,7043,7057,7127,7128,7135,7158,7190,7192,7238,7258,7259,7276,7277,7315,7360,7361,7457,7528,7529,7530,7531,7546,7583,7635,7636,7645,7653,7654,7665,7699,7700,7701,7702,7842,7843,7845,7847,7853,7854,8068,8074,8075,8085,8123,8124,8202,8247,8306,8329,8330,8404,8501,8575,8576,8580,8613,8678,8679,8753,8773,8774,8775,8776,8926,9187,9188,9261,9276,9330,9331,9458,9490,9516,9548,9589,9784,9907,10049,10225,10281,10283,6655,6656,6747,6767,6768,7180,7396,8562,8847,9094,9287,9288,9357,9358,9543,9637,9638,9639,9640,9847,10112,10126,10480,10481,6727,8670,8671,9150,9169,10113,10479,4857,4888,4890,4891,4894,4940,4944,4949,5087,5134,5135,5166,5224,5227,5286,5397,5417,5455,5456,5458,5465,5466,5490,5534,5565,5587,5719,5791,5792,5793,5853,5910,5911,5937,5941,6000,6002,6011,6017,6099,6179,6330,6386,6494,6616,6777,6978,7233,7401,7637,7707,8040,8042,8141,8303,8309,9019,9258,9360,9601,9880,5167,5308,5312,5507,5903,6149,6181,6226,6246,6256,6280,6294,6548,6737,7598,7663,8098,8137,9115,9191])). % 242.47/242.54 cnf(13856,plain, % 242.47/242.54 (~P1(f330(f330(f332(x138561),x138562),f330(f313(x138563,x138561,x138564),f330(f313(x138565,x138563,x138566),f191(f937(x138565,a925))))))), % 242.47/242.54 inference(rename_variables,[],[11549])). % 242.47/242.54 cnf(13866,plain, % 242.47/242.54 (E(f330(x138661,f657(x138661,x138662,f330(x138661,x138663))),f330(x138661,x138663))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13871,plain, % 242.47/242.54 (E(f330(x138711,f657(x138711,x138712,f330(x138711,x138713))),f330(x138711,x138713))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13876,plain, % 242.47/242.54 (E(f330(x138761,f657(x138761,x138762,f330(x138761,x138763))),f330(x138761,x138763))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13879,plain, % 242.47/242.54 (P1(f330(f330(f240(a1),x138791),f330(f330(f82(a1),x138791),f80(a1))))), % 242.47/242.54 inference(rename_variables,[],[11228])). % 242.47/242.54 cnf(13882,plain, % 242.47/242.54 (P1(f330(f330(f240(a1),x138821),f330(f330(f82(a1),x138821),f80(a1))))), % 242.47/242.54 inference(rename_variables,[],[11228])). % 242.47/242.54 cnf(13887,plain, % 242.47/242.54 (~P1(f330(f330(f240(a930),x138871),f330(f192(f931(x138872)),f116(x138872))))), % 242.47/242.54 inference(rename_variables,[],[12916])). % 242.47/242.54 cnf(13900,plain, % 242.47/242.54 (E(f330(x139001,f657(x139001,x139002,f330(x139001,x139003))),f330(x139001,x139003))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13922,plain, % 242.47/242.54 (E(f330(x139221,f657(x139221,x139222,f330(x139221,x139223))),f330(x139221,x139223))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13925,plain, % 242.47/242.54 (~P1(f330(f330(f332(x139251),x139252),f330(f313(x139253,x139251,x139254),f330(f313(x139255,x139253,x139256),f191(f937(x139255,a925))))))), % 242.47/242.54 inference(rename_variables,[],[11549])). % 242.47/242.54 cnf(13928,plain, % 242.47/242.54 (E(f330(x139281,f657(x139281,x139282,f330(x139281,x139283))),f330(x139281,x139283))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13934,plain, % 242.47/242.54 (E(f330(x139341,f657(x139341,x139342,f330(x139341,x139343))),f330(x139341,x139343))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13937,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139371,x139372)),x139373),f330(f313(f936(x139374,x139374),f936(x139371,x139372),f262(x139374,x139371,x139374,x139372,x139375,x139376)),f156(x139374,f116(f937(x139374,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(13940,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139401,x139402)),x139403),f330(f313(f936(x139404,x139404),f936(x139401,x139402),f262(x139404,x139401,x139404,x139402,x139405,x139406)),f156(x139404,f116(f937(x139404,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(13943,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139431,x139432)),x139433),f330(f313(f936(x139434,x139434),f936(x139431,x139432),f262(x139434,x139431,x139434,x139432,x139435,x139436)),f156(x139434,f116(f937(x139434,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(13946,plain, % 242.47/242.54 (~P1(f330(f330(f332(x139461),x139462),f330(f313(x139463,x139461,x139464),f330(f313(x139465,x139463,x139466),f191(f937(x139465,a925))))))), % 242.47/242.54 inference(rename_variables,[],[11549])). % 242.47/242.54 cnf(13949,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139491,x139492)),x139493),f330(f313(f936(x139494,x139494),f936(x139491,x139492),f262(x139494,x139491,x139494,x139492,x139495,x139496)),f156(x139494,f116(f937(x139494,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(13952,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139521,x139522)),x139523),f330(f313(f936(x139524,x139524),f936(x139521,x139522),f262(x139524,x139521,x139524,x139522,x139525,x139526)),f156(x139524,f116(f937(x139524,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(13955,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139551,x139552)),x139553),f330(f313(f936(x139554,x139554),f936(x139551,x139552),f262(x139554,x139551,x139554,x139552,x139555,x139556)),f156(x139554,f116(f937(x139554,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(13961,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139611,x139611)),x139612),f267(x139611,f191(f937(x139611,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(13964,plain, % 242.47/242.54 (E(f330(x139641,f657(x139641,x139642,f330(x139641,x139643))),f330(x139641,x139643))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(13975,plain, % 242.47/242.54 (P1(f330(f330(f239(f937(x139751,a925)),f330(f289(x139752,x139751,f191(f937(f936(x139752,x139751),a925))),x139753)),x139754))), % 242.47/242.54 inference(rename_variables,[],[11584])). % 242.47/242.54 cnf(13995,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x139951,x139951)),x139952),f267(x139951,f191(f937(x139951,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(13998,plain, % 242.47/242.54 (~P1(f330(f330(f69(f931(x139981),f931(x139981),f148(x139981,x139982)),x139983),f116(x139981)))), % 242.47/242.54 inference(rename_variables,[],[11415])). % 242.47/242.54 cnf(14006,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x140061,x140061)),x140062),f267(x140061,f191(f937(x140061,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(14009,plain, % 242.47/242.54 (E(f330(x140091,f657(x140091,x140092,f330(x140091,x140093))),f330(x140091,x140093))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(14016,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x140161),f931(x140161))),f330(f330(f256(f931(x140161),f931(x140161)),x140162),x140163)),f160(x140161,f156(x140161,f116(f937(x140161,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11703])). % 242.47/242.54 cnf(14019,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x140191,x140191)),x140192),f267(x140191,f191(f937(x140191,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(14026,plain, % 242.47/242.54 (P1(f330(f330(f239(f937(x140261,a925)),f330(f330(f23(f937(x140261,a925)),x140262),x140263)),x140262))), % 242.47/242.54 inference(rename_variables,[],[4267])). % 242.47/242.54 cnf(14029,plain, % 242.47/242.54 (~E(f330(f330(f82(a1),x140291),x140291),f330(f330(f23(a1),f330(f330(f82(a1),x140292),x140292)),a100))), % 242.47/242.54 inference(rename_variables,[],[4789])). % 242.47/242.54 cnf(14032,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x140321),f931(x140321))),f330(f330(f256(f931(x140321),f931(x140321)),x140322),x140323)),f160(x140321,f156(x140321,f116(f937(x140321,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11703])). % 242.47/242.54 cnf(14035,plain, % 242.47/242.54 (~P1(f330(f330(f259(x140351,x140352,a925,f330(f175(x140353),f116(x140353))),x140354),x140355))), % 242.47/242.54 inference(rename_variables,[],[11567])). % 242.47/242.54 cnf(14056,plain, % 242.47/242.54 (E(f330(f81(f937(x140561,a925)),f330(f81(f937(x140561,a925)),x140562)),x140562)), % 242.47/242.54 inference(rename_variables,[],[3677])). % 242.47/242.54 cnf(14064,plain, % 242.47/242.54 (P1(f330(f330(f239(f937(x140641,a925)),x140642),f330(f330(f113(f937(x140641,a925)),x140643),x140642)))), % 242.47/242.54 inference(rename_variables,[],[4142])). % 242.47/242.54 cnf(14089,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x140891),f931(x140891))),f330(f330(f256(f931(x140891),f931(x140891)),x140892),f116(x140891))),f330(f290(f931(x140891),f931(x140891)),f160(x140891,x140893))))), % 242.47/242.54 inference(rename_variables,[],[11598])). % 242.47/242.54 cnf(14092,plain, % 242.47/242.54 (E(f330(f81(f937(x140921,a925)),f330(f81(f937(x140921,a925)),x140922)),x140922)), % 242.47/242.54 inference(rename_variables,[],[3677])). % 242.47/242.54 cnf(14097,plain, % 242.47/242.54 (~E(f330(f330(f154(x140971),x140972),x140973),f330(f171(x140971),f116(x140971)))), % 242.47/242.54 inference(rename_variables,[],[13633])). % 242.47/242.54 cnf(14111,plain, % 242.47/242.54 (~E(f330(f330(f154(x141111),x141112),x141113),f330(f171(x141111),f116(x141111)))), % 242.47/242.54 inference(rename_variables,[],[13633])). % 242.47/242.54 cnf(14123,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x141231),f931(x141231))),f330(f330(f256(f931(x141231),f931(x141231)),x141232),f116(x141231))),f330(f290(f931(x141231),f931(x141231)),f160(x141231,x141233))))), % 242.47/242.54 inference(rename_variables,[],[11598])). % 242.47/242.54 cnf(14128,plain, % 242.47/242.54 (P1(f330(f330(f239(a930),x141281),f330(f330(f82(a930),x141282),x141281)))), % 242.47/242.54 inference(rename_variables,[],[3813])). % 242.47/242.54 cnf(14133,plain, % 242.47/242.54 (P1(f330(f330(f239(a930),x141331),f330(f330(f82(a930),x141332),x141331)))), % 242.47/242.54 inference(rename_variables,[],[3813])). % 242.47/242.54 cnf(14147,plain, % 242.47/242.54 (P1(f330(f330(f239(f937(x141471,a925)),f330(f330(f23(f937(x141471,a925)),x141472),x141473)),x141472))), % 242.47/242.54 inference(rename_variables,[],[4267])). % 242.47/242.54 cnf(14152,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x141521),f931(x141521))),f330(f330(f256(f931(x141521),f931(x141521)),f116(x141521)),x141522)),f330(f290(f931(x141521),f931(x141521)),f148(x141521,x141523))))), % 242.47/242.54 inference(rename_variables,[],[11541])). % 242.47/242.54 cnf(14155,plain, % 242.47/242.54 (P1(f330(f330(f239(a930),x141551),f330(f330(f82(a930),x141552),x141551)))), % 242.47/242.54 inference(rename_variables,[],[3813])). % 242.47/242.54 cnf(14181,plain, % 242.47/242.54 (~E(f330(f74(x141811,x141812,x141813,a115),x141814),x141814)), % 242.47/242.54 inference(rename_variables,[],[11231])). % 242.47/242.54 cnf(14184,plain, % 242.47/242.54 (~P1(f330(f330(f259(x141841,x141842,a925,f330(f175(x141843),f116(x141843))),x141844),x141845))), % 242.47/242.54 inference(rename_variables,[],[11567])). % 242.47/242.54 cnf(14187,plain, % 242.47/242.54 (~P1(f330(f330(f259(x141871,x141872,a925,f330(f175(x141873),f116(x141873))),x141874),x141875))), % 242.47/242.54 inference(rename_variables,[],[11567])). % 242.47/242.54 cnf(14201,plain, % 242.47/242.54 (E(f330(x142011,f657(x142011,x142012,f330(x142011,x142013))),f330(x142011,x142013))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(14204,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x142041,x142041)),x142042),f267(x142041,f191(f937(x142041,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(14223,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x142231,x142231)),x142232),f267(x142231,f191(f937(x142231,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(14247,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x142471,x142472)),x142473),f330(f313(f936(x142474,x142474),f936(x142471,x142472),f262(x142474,x142471,x142474,x142472,x142475,x142476)),f156(x142474,f116(f937(x142474,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(14250,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x142501,x142501)),x142502),f267(x142501,f191(f937(x142501,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(14253,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x142531,x142531)),x142532),f267(x142531,f191(f937(x142531,a925)))))), % 242.47/242.54 inference(rename_variables,[],[11293])). % 242.47/242.54 cnf(14260,plain, % 242.47/242.54 (E(f330(x142601,f657(x142601,x142602,f330(x142601,x142603))),f330(x142601,x142603))), % 242.47/242.54 inference(rename_variables,[],[11323])). % 242.47/242.54 cnf(14267,plain, % 242.47/242.54 (P1(f330(f330(f239(a930),x142671),f330(f330(f82(a930),x142672),x142671)))), % 242.47/242.54 inference(rename_variables,[],[3813])). % 242.47/242.54 cnf(14274,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(x142741,x142742)),x142743),f330(f313(f936(x142744,x142744),f936(x142741,x142742),f262(x142744,x142741,x142744,x142742,x142745,x142746)),f156(x142744,f116(f937(x142744,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11743])). % 242.47/242.54 cnf(14285,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x142851),f931(x142851))),f330(f330(f256(f931(x142851),f931(x142851)),x142852),x142853)),f160(x142851,f156(x142851,f116(f937(x142851,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11703])). % 242.47/242.54 cnf(14301,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x143011),f931(x143011))),f330(f330(f256(f931(x143011),f931(x143011)),x143012),x143013)),f160(x143011,f156(x143011,f116(f937(x143011,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11703])). % 242.47/242.54 cnf(14334,plain, % 242.47/242.54 (~P1(f330(f330(f332(f936(f931(x143341),f931(x143341))),f330(f330(f256(f931(x143341),f931(x143341)),x143342),x143343)),f160(x143341,f156(x143341,f116(f937(x143341,a930))))))), % 242.47/242.54 inference(rename_variables,[],[11703])). % 242.47/242.54 cnf(14362,plain, % 242.47/242.54 (P1(f330(f330(f332(f936(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925))),f330(f330(f256(f937(f936(a930,a930),a925),f937(f936(a930,a930),a925)),x143621),f191(f937(f936(a930,a930),a925)))),a73))), % 242.47/242.54 inference(rename_variables,[],[4521])). % 242.47/242.54 cnf(14413,plain, % 242.47/242.54 ($false), % 242.47/242.54 inference(scs_inference,[],[4105,4058,3677,14056,14092,4521,14362,3813,14128,14133,14155,14267,4244,4097,4162,4002,4267,14026,14147,3643,3553,4734,3565,4766,4142,14064,4763,11323,13866,13871,13876,13900,13922,13928,13934,13964,14009,14201,14260,11594,10792,11563,12996,12877,11473,11415,13998,13633,14097,14111,11530,11541,14152,11598,14089,14123,11605,10850,11225,12882,10729,13469,11912,11305,13687,11706,12920,12938,11703,14016,14032,14285,14301,14334,11743,13937,13940,13943,13949,13952,13955,14247,14274,11549,13856,13925,13946,11665,11728,11611,10873,13449,11596,13369,11293,13961,13995,14006,14019,14204,14223,14250,14253,12486,11283,11236,11567,14035,14184,14187,12379,11584,13975,11629,12207,12204,11557,12843,13794,11231,14181,13739,13250,12653,13709,10914,12566,12678,12916,13887,13180,10539,13774,12167,12350,11592,11105,13759,11056,11456,11712,12669,11975,12711,13165,11008,11228,13879,13882,11503,11916,10684,10835,10625,13685,10933,13124,11199,3208,3608,3546,3756,4789,14029,3917,4253,4848,4997,5672,5769,5770,5936,5994,6003,6242,6286,6314,6336,6485,6714,6746,6786,7070,7125,7554,7969,8165,8218,8219,8220,8981,9149,9278,4832,5102,4990,5282,5463,5464,5640,6979,7309,7310,7823,9084,9085,9101,9102,9692,5364,9506,6691,5882,6557,6325,7956,9739,4857,6311,7019,7397,7676,9082,6991,5483,8829,9895,4896,5615,7746,8744,9982,9601,7682,9532,9937,10053,5984,6524,6777,8807,5835,6608,5584,5883,10214,4810,6381,9296,8918,9109,7342,7185,8808,6969,9369,6055,6766,7429,10247,5300,5456,6070,6623,8780,6327,7046,5791,5811,5997,6171,7228,9086,9327,6308,7593,9900,6998,7793,9016,5992,6613,7124,8901,9606,9738,6355,5225,6899,8890,8973,9930,5268,7994,5487,7401,6179,5174,6182,6780,5482,5696,5974,7048,8866,4890,9560,6385,6658,5446,6421,5087,5448,5521,8173,8884,6133,5988,8871,5774,6249,6439,6657,9702,5110,10174,9994,9995,6970,6017,4892,5578,6039,7010,5894,6526,6990,7013,5547,10226,9521,4989,5751,6713,6161,8873,6040,9328,9329,5227,5922,6492,9361,5166,6505,6533,6560,8855,5990,6941,9931,5851,5982,5293,6605,6823,8635,9019,9580,5473,6154,6612,8715,8994,8397,7697,9866,5978,5773,5562,5635,9219,9737,8204,6000,6002,6604,5152,5551,6209,6420,8035,5490,4924]), % 242.47/242.54 ['proof']). % 242.47/242.54 % SZS output end Proof % 242.47/242.54 % Total time :201.800000s %------------------------------------------------------------------------------