%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT080-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n021.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 14:11:42 EDT 2024 % Result : Unsatisfiable 1.58s 1.65s % Output : CNFRefutation 1.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SCT080-1 : TPTP v8.2.0. Released v4.1.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sat Jun 22 10:08:54 EDT 2024 % 0.12/0.33 % CPUTime : % 0.50/0.56 start to proof:theBenchmark % 1.50/1.61 %------------------------------------------- % 1.50/1.61 % File :CSE---1.7 % 1.50/1.61 % Problem :theBenchmark % 1.50/1.61 % Transform :cnf % 1.50/1.61 % Format :tptp:raw % 1.50/1.61 % Command :java -jar mcs_scs.jar %d %s % 1.50/1.61 % 1.50/1.61 % Result :Theorem 0.730000s % 1.50/1.61 % Output :CNFRefutation 0.730000s % 1.50/1.61 %------------------------------------------- % 1.50/1.61 %------------------------------------------------------------------------------ % 1.50/1.61 % File : SCT080-1 : TPTP v8.2.0. Released v4.1.0. % 1.50/1.61 % Domain : Social Choice Theory % 1.50/1.61 % Problem : Arrow Order 266_5 % 1.50/1.61 % Version : Especial. % 1.50/1.61 % English : Formalization of two proofs of Arrow's impossibility theorem. One % 1.50/1.62 % formalization is based on utility functions, the other one on % 1.50/1.62 % strict partial orders. % 1.50/1.62 % 1.50/1.62 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and % 1.50/1.62 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.50/1.62 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.50/1.62 % Source : [Nip10] % 1.50/1.62 % Names : Arrow_Order-266_51 [Nip10] % 1.50/1.62 % 1.50/1.62 % Status : Unsatisfiable % 1.50/1.62 % Rating : 0.25 v8.2.0, 0.24 v8.1.0, 0.26 v7.5.0, 0.32 v7.4.0, 0.18 v7.3.0, 0.25 v7.2.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.70 v5.4.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 v5.1.0, 0.71 v4.1.0 % 1.50/1.62 % Syntax : Number of clauses : 688 ( 173 unt; 110 nHn; 342 RR) % 1.50/1.62 % Number of literals : 1725 ( 486 equ; 844 neg) % 1.50/1.62 % Maximal clause size : 10 ( 2 avg) % 1.50/1.62 % Maximal term depth : 8 ( 2 avg) % 1.50/1.62 % Number of predicates : 25 ( 24 usr; 0 prp; 1-9 aty) % 1.50/1.62 % Number of functors : 84 ( 84 usr; 9 con; 0-6 aty) % 1.50/1.62 % Number of variables : 2735 ( 338 sgn) % 1.50/1.62 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.50/1.62 % 1.50/1.62 % Comments : % 1.50/1.62 %------------------------------------------------------------------------------ % 1.50/1.62 cnf(cls_inf__le1_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.62 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_inf__le2_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.62 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_le__infI_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.62 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_b,T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_le__inf__iff_2,axiom, % 1.50/1.62 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.62 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_z,T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_inf__greatest_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.62 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_z,T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.62 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.62 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_Un__mono_0,axiom, % 1.50/1.62 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_subset__empty_1,axiom, % 1.50/1.62 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_subset__empty_0,axiom, % 1.50/1.62 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_fun__upd__idem__iff_1,axiom, % 1.50/1.62 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ). % 1.50/1.62 % 1.50/1.62 cnf(cls_fun__upd__apply_0,axiom, % 1.50/1.62 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ). % 1.50/1.62 % 1.50/1.62 cnf(cls_fun__upd__triv_0,axiom, % 1.50/1.62 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ). % 1.50/1.62 % 1.50/1.62 cnf(cls_fun__upd__same_0,axiom, % 1.50/1.62 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ). % 1.50/1.62 % 1.50/1.62 cnf(cls_fun__upd__idem_0,axiom, % 1.50/1.62 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ). % 1.50/1.62 % 1.50/1.62 cnf(cls_subset__Un__eq_1,axiom, % 1.50/1.62 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 1.50/1.62 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_Un__absorb2_0,axiom, % 1.50/1.62 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.50/1.62 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_Un__absorb1_0,axiom, % 1.50/1.62 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.50/1.62 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_le__iff__sup_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.62 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 1.50/1.62 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_le__iff__sup_1,axiom, % 1.50/1.62 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.62 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 1.50/1.62 | c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_sup__absorb1_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.62 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 1.50/1.62 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_inf__sup__absorb_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.62 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_order__antisym__conv_0,axiom, % 1.50/1.62 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.62 | V_x = V_y % 1.50/1.62 | ~ c_lessequals(V_x,V_y,T_a) % 1.50/1.62 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_order__antisym_0,axiom, % 1.50/1.62 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.62 | V_x = V_y % 1.50/1.62 | ~ c_lessequals(V_y,V_x,T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_order__eq__iff_2,axiom, % 1.50/1.62 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.62 | V_x = V_y % 1.50/1.62 | ~ c_lessequals(V_y,V_x,T_a) % 1.50/1.62 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_set__eq__subset_2,axiom, % 1.50/1.62 ( V_A = V_B % 1.50/1.62 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_equalityI_0,axiom, % 1.50/1.62 ( V_A = V_B % 1.50/1.62 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_sup__inf__absorb_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.62 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_distrib__sup__le_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.62 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_Diff__mono_0,axiom, % 1.50/1.62 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.62 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_fun__upd__upd_0,axiom, % 1.50/1.62 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_inj__on__inv__into_0,axiom, % 1.50/1.62 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b) % 1.50/1.62 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_Un__empty__right_0,axiom, % 1.50/1.62 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.50/1.62 % 1.50/1.62 cnf(cls_Un__empty__left_0,axiom, % 1.50/1.62 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 1.50/1.62 % 1.50/1.62 cnf(cls_sup__bot__left_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.50/1.62 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_sup__bot__right_0,axiom, % 1.50/1.62 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.50/1.62 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_sup1CI_1,axiom, % 1.50/1.62 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.50/1.62 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.50/1.62 % 1.50/1.62 cnf(cls_sup1CI_0,axiom, % 1.58/1.62 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.58/1.62 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_sup1E_0,axiom, % 1.58/1.62 ( hBOOL(hAPP(V_B,V_x)) % 1.58/1.62 | hBOOL(hAPP(V_A,V_x)) % 1.58/1.62 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_fun__upd__twist_0,axiom, % 1.58/1.62 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b) % 1.58/1.62 | V_a = V_c ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Un__Int__assoc__eq_1,axiom, % 1.58/1.62 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.62 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Un__Int__assoc__eq_0,axiom, % 1.58/1.62 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.62 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Image__Int__subset_0,axiom, % 1.58/1.62 c_lessequals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_empty__fold__graphE_0,axiom, % 1.58/1.62 ( V_x = V_z % 1.58/1.62 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_subset__insertI_0,axiom, % 1.58/1.62 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Image__empty_0,axiom, % 1.58/1.62 c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Un__UNIV__right_0,axiom, % 1.58/1.62 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Un__UNIV__left_0,axiom, % 1.58/1.62 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_sup__top__left_0,axiom, % 1.58/1.62 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.62 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_sup__top__right_0,axiom, % 1.58/1.62 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.62 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Int__lower1_0,axiom, % 1.58/1.62 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Int__lower2_0,axiom, % 1.58/1.62 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Int__greatest_0,axiom, % 1.58/1.62 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.62 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.62 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_Int__subset__iff_2,axiom, % 1.58/1.62 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.62 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.62 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_subset__UNIV_0,axiom, % 1.58/1.62 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.62 % 1.58/1.62 cnf(cls_top__greatest_0,axiom, % 1.58/1.62 ( ~ class_Orderings_Otop(T_a) % 1.58/1.62 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 1.58/1.62 % 1.58/1.63 cnf(cls_sup__inf__distrib2_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__inf__distrib1_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__Int__distrib_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__Int__distrib2_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__image_0,axiom, % 1.58/1.63 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__sup__iff_1,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_y,V_z,T_a) % 1.58/1.63 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__sup__iff_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_x,V_z,T_a) % 1.58/1.63 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__supI2_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.58/1.63 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__supI1_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.58/1.63 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__supE_1,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_b,V_x,T_a) % 1.58/1.63 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__supE_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_a,V_x,T_a) % 1.58/1.63 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__subset__iff_0,axiom, % 1.58/1.63 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__subset__iff_1,axiom, % 1.58/1.63 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_xt1_I6_J_0,axiom, % 1.58/1.63 ( ~ class_Orderings_Oorder(T_a) % 1.58/1.63 | c_lessequals(V_z,V_x,T_a) % 1.58/1.63 | ~ c_lessequals(V_z,V_y,T_a) % 1.58/1.63 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_order__trans_0,axiom, % 1.58/1.63 ( ~ class_Orderings_Opreorder(T_a) % 1.58/1.63 | c_lessequals(V_x,V_z,T_a) % 1.58/1.63 | ~ c_lessequals(V_y,V_z,T_a) % 1.58/1.63 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_equalityE_0,axiom, % 1.58/1.63 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__refl_0,axiom, % 1.58/1.63 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__trans_0,axiom, % 1.58/1.63 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__inj__on_0,axiom, % 1.58/1.63 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_predicate1D_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(V_Q,V_x)) % 1.58/1.63 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.63 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_order__eq__iff_0,axiom, % 1.58/1.63 ( ~ class_Orderings_Oorder(T_a) % 1.58/1.63 | c_lessequals(V_x,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_order__eq__refl_0,axiom, % 1.58/1.63 ( ~ class_Orderings_Opreorder(T_a) % 1.58/1.63 | c_lessequals(V_x,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_rev__predicate1D_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(V_Q,V_x)) % 1.58/1.63 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Int__mono_0,axiom, % 1.58/1.63 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_lfp__lowerbound_0,axiom, % 1.58/1.63 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.63 | c_lessequals(c_Inductive_Ocomplete__lattice__class_Olfp(V_f,T_a),V_A,T_a) % 1.58/1.63 | ~ c_lessequals(hAPP(V_f,V_A),V_A,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__Un_0,axiom, % 1.58/1.63 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inj__transfer_1,axiom, % 1.58/1.63 ( hBOOL(hAPP(V_P,V_x)) % 1.58/1.63 | ~ hBOOL(hAPP(V_P,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b)))) % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_fun__upd__apply_1,axiom, % 1.58/1.63 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z) % 1.58/1.63 | V_z = V_x ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_fun__upd__other_0,axiom, % 1.58/1.63 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z) % 1.58/1.63 | V_z = V_x ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_double__diff_0,axiom, % 1.58/1.63 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A % 1.58/1.63 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__eqI_0,axiom, % 1.58/1.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.58/1.63 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.58/1.63 | c_lessequals(V_y_H,V_x_H,T_a) % 1.58/1.63 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__eqI_1,axiom, % 1.58/1.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.58/1.63 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.58/1.63 | c_lessequals(V_y,V_x,T_a) % 1.58/1.63 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__mono_0,axiom, % 1.58/1.63 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__image__iff_2,axiom, % 1.58/1.63 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 1.58/1.63 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_insert__mono_0,axiom, % 1.58/1.63 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__empty_2,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__Un_0,axiom, % 1.58/1.63 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_linorder__linear_0,axiom, % 1.58/1.63 ( ~ class_Orderings_Olinorder(T_a) % 1.58/1.63 | c_lessequals(V_y,V_x,T_a) % 1.58/1.63 | c_lessequals(V_x,V_y,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_equiv__class__self_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a))) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__equiv__class_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A)) % 1.58/1.63 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_fold__graph_OinsertI_0,axiom, % 1.58/1.63 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.58/1.63 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insert_0,axiom, % 1.58/1.63 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insert_1,axiom, % 1.58/1.63 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insert__iff_1,axiom, % 1.58/1.63 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insert__iff_2,axiom, % 1.58/1.63 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_insert__subset_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.58/1.63 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_insert__subset_2,axiom, % 1.58/1.63 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__into__into_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x)),V_A)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__into__injective_0,axiom, % 1.58/1.63 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y) % 1.58/1.63 | V_x = V_y % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),c_Set_Oimage(V_f,V_A,T_a,T_b))) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__subset__iff_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 1.58/1.63 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_f__inv__into__f_0,axiom, % 1.58/1.63 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_fun__upd__image_1,axiom, % 1.58/1.63 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_equiv__class__eq_0,axiom, % 1.58/1.63 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_equiv__class__eq__iff_0,axiom, % 1.58/1.63 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__SUPI_0,axiom, % 1.58/1.63 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 1.58/1.63 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__upper_0,axiom, % 1.58/1.63 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__subset__iff_0,axiom, % 1.58/1.63 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I)) % 1.58/1.63 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__absorb_0,axiom, % 1.58/1.63 ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_pred__subset__eq_0,axiom, % 1.58/1.63 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_pred__subset__eq_1,axiom, % 1.58/1.63 ( c_lessequals(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__into__f__f_0,axiom, % 1.58/1.63 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__into__f__eq_0,axiom, % 1.58/1.63 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a) % 1.58/1.63 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Sup__upper_0,axiom, % 1.58/1.63 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.63 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_insert__is__Un_0,axiom, % 1.58/1.63 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__singletonD_0,axiom, % 1.58/1.63 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.58/1.63 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__insert_0,axiom, % 1.58/1.63 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__Int__subset_0,axiom, % 1.58/1.63 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_range__composition_0,axiom, % 1.58/1.63 c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__extend__simps_I10_J_0,axiom, % 1.58/1.63 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_b,T_c),V_B,T_c,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_UN__simps_I10_J_0,axiom, % 1.58/1.63 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_c,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Sup__insert_0,axiom, % 1.58/1.63 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.63 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inj__on__Un__image__eq__iff_0,axiom, % 1.58/1.63 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 1.58/1.63 | V_A = V_B ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Union__upper_0,axiom, % 1.58/1.63 ( c_lessequals(V_B,c_Complete__Lattice_OSup__class_OSup(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__diff__subset_0,axiom, % 1.58/1.63 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__Diff__Int_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Diff__Un_0,axiom, % 1.58/1.63 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Diff__Int_0,axiom, % 1.58/1.63 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__f__f_0,axiom, % 1.58/1.63 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__f__eq_0,axiom, % 1.58/1.63 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.58/1.63 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Inf__lower_0,axiom, % 1.58/1.63 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.63 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_image__vimage__subset_0,axiom, % 1.58/1.63 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_PowD_0,axiom, % 1.58/1.63 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a))) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_PowI_0,axiom, % 1.58/1.63 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a))) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Union__quotient_0,axiom, % 1.58/1.63 ( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) = V_A % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Inter__lower_0,axiom, % 1.58/1.63 ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_eq__equiv__class__iff_0,axiom, % 1.58/1.63 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_eq__equiv__class__iff_1,axiom, % 1.58/1.63 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_equiv__class__eq__iff_3,axiom, % 1.58/1.63 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_eq__equiv__class_0,axiom, % 1.58/1.63 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.63 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insert__iff_0,axiom, % 1.58/1.63 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insert__iff_3,axiom, % 1.58/1.63 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_diff__single__insert_0,axiom, % 1.58/1.63 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.63 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_bot__least_0,axiom, % 1.58/1.63 ( ~ class_Orderings_Obot(T_a) % 1.58/1.63 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_empty__subsetI_0,axiom, % 1.58/1.63 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__insert__right_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__insert__left_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_subset__insertI2_0,axiom, % 1.58/1.63 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_insert__subset_1,axiom, % 1.58/1.63 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Int__Un__distrib2_0,axiom, % 1.58/1.63 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Int__Un__distrib_0,axiom, % 1.58/1.63 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__sup__distrib1_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.58/1.63 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__sup__distrib2_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.58/1.63 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inv__into__image__cancel_0,axiom, % 1.58/1.63 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S % 1.58/1.63 | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__absorb_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__idem_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Image__Un_0,axiom, % 1.58/1.63 c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_COMBB__def_0,axiom, % 1.58/1.63 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__left__commute_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__assoc_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__assoc_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__left__commute_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.63 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Int__absorb2_0,axiom, % 1.58/1.63 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Int__absorb1_0,axiom, % 1.58/1.63 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.58/1.63 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__iff__inf_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.63 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 1.58/1.63 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__iff__inf_1,axiom, % 1.58/1.63 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.63 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 1.58/1.63 | c_lessequals(V_x,V_y,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__absorb2_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.63 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 1.58/1.63 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__subset__iff_2,axiom, % 1.58/1.63 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__upper2_0,axiom, % 1.58/1.63 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__upper1_0,axiom, % 1.58/1.63 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__least_0,axiom, % 1.58/1.63 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__supI_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 1.58/1.63 | ~ c_lessequals(V_b,V_x,T_a) % 1.58/1.63 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__ge1_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__ge2_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_sup__least_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 1.58/1.63 | ~ c_lessequals(V_z,V_x,T_a) % 1.58/1.63 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_le__sup__iff_2,axiom, % 1.58/1.63 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.63 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 1.58/1.63 | ~ c_lessequals(V_y,V_z,T_a) % 1.58/1.63 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.63 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.63 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Diff__partition_0,axiom, % 1.58/1.63 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_equiv__class__subset_0,axiom, % 1.58/1.63 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.63 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.58/1.63 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_distrib__inf__le_0,axiom, % 1.58/1.63 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.63 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Diff__subset_0,axiom, % 1.58/1.63 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__Int__crazy_0,axiom, % 1.58/1.63 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_fold__graph_OemptyI_0,axiom, % 1.58/1.63 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_vimage__mono_0,axiom, % 1.58/1.63 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool)) % 1.58/1.63 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.63 cnf(cls_Un__empty_1,axiom, % 1.58/1.63 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.63 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.58/1.63 % 1.58/1.64 cnf(cls_Un__empty_0,axiom, % 1.58/1.64 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_sup__eq__bot__eq1_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.64 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.58/1.64 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_sup__eq__bot__eq2_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.64 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.58/1.64 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Un__Diff__cancel2_0,axiom, % 1.58/1.64 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Un__Diff__cancel_0,axiom, % 1.58/1.64 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_bij__betw__inv__into_0,axiom, % 1.58/1.64 ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,V_A,T_b,T_a) % 1.58/1.64 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Int__subset__iff_1,axiom, % 1.58/1.64 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Int__subset__iff_0,axiom, % 1.58/1.64 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__infE_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_lessequals(V_x,V_a,T_a) % 1.58/1.64 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__infE_1,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_lessequals(V_x,V_b,T_a) % 1.58/1.64 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__infI1_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.58/1.64 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__infI2_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.58/1.64 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__inf__iff_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_lessequals(V_x,V_y,T_a) % 1.58/1.64 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__inf__iff_1,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_lessequals(V_x,V_z,T_a) % 1.58/1.64 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Un__Diff_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Un__commute_0,axiom, % 1.58/1.64 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_sup__commute_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.64 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.64 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Un__left__absorb_0,axiom, % 1.58/1.64 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_sup__left__idem_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.58/1.64 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.64 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__Un_0,axiom, % 1.58/1.64 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_fun__upd__idem__iff_0,axiom, % 1.58/1.64 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f % 1.58/1.64 | hAPP(V_f,V_x) = V_y ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__Un_1,axiom, % 1.58/1.64 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__Un_0,axiom, % 1.58/1.64 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__subset__conv_1,axiom, % 1.58/1.64 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__subset__conv_0,axiom, % 1.58/1.64 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_le__funD_0,axiom, % 1.58/1.64 ( ~ class_HOL_Oord(T_b) % 1.58/1.64 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 1.58/1.64 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_subset__iff_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A)) % 1.58/1.64 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_set__rev__mp_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.58/1.64 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_subsetD_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.58/1.64 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_set__mp_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.64 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_UnCI_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_UnCI_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_UnE_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_compose__def_0,axiom, % 1.58/1.64 c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_c,T_b) = c_FuncSet_Orestrict(c_COMBB(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_bex__Un_6,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.64 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_bex__Un_4,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.64 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_rev__ImageI_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Image__iff_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_equiv__class__eq__iff_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_equiv__class__eq__iff_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_equiv__class__nondisjoint_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)))) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__fun__updI_0,axiom, % 1.58/1.64 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__def_0,axiom, % 1.58/1.64 c_Set_Oinsert(V_a,V_B,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a),V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Sup__binary_0,axiom, % 1.58/1.64 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.64 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_subset__insert__iff_4,axiom, % 1.58/1.64 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Union__disjoint_2,axiom, % 1.58/1.64 ( c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(V_A,V_C,T_a),V_A,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__image__Int_0,axiom, % 1.58/1.64 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__image__subset__iff_1,axiom, % 1.58/1.64 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__image__subset__iff_0,axiom, % 1.58/1.64 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inv__image__comp_0,axiom, % 1.58/1.64 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_image__inv__f__f_0,axiom, % 1.58/1.64 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__image__set__diff_0,axiom, % 1.58/1.64 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__insert_0,axiom, % 1.58/1.64 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_setsum__diff1__nat_1,axiom, % 1.58/1.64 ( c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff1__fold__graph_0,axiom, % 1.58/1.64 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.64 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_y,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_range__ex1__eq_2,axiom, % 1.58/1.64 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) % 1.58/1.64 | hAPP(V_f,V_x) = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__transfer_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(V_P,V_x)) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b))) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_range__ex1__eq_3,axiom, % 1.58/1.64 ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa) != V_x % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_range__ex1__eq_0,axiom, % 1.58/1.64 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(V_b,V_f,T_b,T_a)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b))) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_range__ex1__eq_1,axiom, % 1.58/1.64 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_y)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.58/1.64 | V_y = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(V_f,V_y),V_f,T_a,T_aa) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Union__disjoint_1,axiom, % 1.58/1.64 ( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(V_A,V_C,T_a)),V_C)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__def_0,axiom, % 1.58/1.64 c_Set_Ovimage(V_f,V_B,T_a,T_b) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(T_b),V_f,T_b,tc_fun(tc_fun(T_b,tc_bool),tc_bool),T_a),T_a,tc_fun(T_b,tc_bool),tc_bool),V_B),T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_quotient__disj_0,axiom, % 1.58/1.64 ( c_Lattices_Olower__semilattice__class_Oinf(V_X,V_Y,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | V_X = V_Y % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__subsetI_0,axiom, % 1.58/1.64 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_funcset__image_0,axiom, % 1.58/1.64 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_restrictI_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_restrictI_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_compose__id__inv__into_0,axiom, % 1.58/1.64 c_FuncSet_Ocompose(c_Set_Oimage(V_f,V_A,T_b,T_a),V_f,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_b),T_a,T_b,T_a) = c_FuncSet_Orestrict(c_COMBI(T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_compose__inv__into__id_0,axiom, % 1.58/1.64 ( c_FuncSet_Ocompose(V_A,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,T_b,T_a),V_f,T_a,T_b,T_a) = c_FuncSet_Orestrict(c_COMBI(T_a),V_A,T_a,T_a) % 1.58/1.64 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Image__singleton__iff_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Image__singleton__iff_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_fun__upd__image_0,axiom, % 1.58/1.64 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_quotient__eq__iff_0,axiom, % 1.58/1.64 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_x)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_x)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_y,T_a,T_a)),V_r)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_quotient__eqI_0,axiom, % 1.58/1.64 ( V_X = V_Y % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Y)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_X)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_quotientI_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__Un_2,axiom, % 1.58/1.64 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__Un_3,axiom, % 1.58/1.64 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.64 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inv__into__funcset_0,axiom, % 1.58/1.64 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_b)),c_FuncSet_OPi(c_Set_Oimage(V_f,V_A,T_b,T_a),c_COMBK(V_A,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_1_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X1__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X1__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_b = V_a_H % 1.58/1.64 | V_a = V_b_H % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_1_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X1__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X1__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_b = V_a_H % 1.58/1.64 | V_a = V_b_H % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_2_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_b = V_a_H % 1.58/1.64 | V_a = V_b_H % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_2_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_b = V_a_H % 1.58/1.64 | V_a = V_b_H % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_2_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_b = V_a_H % 1.58/1.64 | V_a = V_b_H % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_2_3,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_b = V_a_H % 1.58/1.64 | V_a = V_b_H % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_pairwise__neutrality_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_pairwise__neutrality_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_pairwise__neutrality_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_pairwise__neutrality_3,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a_H = V_b_H % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_3_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_3_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_3_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_3_3,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_4_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_c % 1.58/1.64 | V_b = V_c % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_4_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_c % 1.58/1.64 | V_b = V_c % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_4_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_c % 1.58/1.64 | V_b = V_c % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_4_3,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | V_a = V_c % 1.58/1.64 | V_b = V_c % 1.58/1.64 | V_a = V_b ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_IIA__def_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_IIA__def_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_IIA__def_2,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_IIA__def_3,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_unanimity__def_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(V_a,V_b,V_x)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.64 | ~ c_Arrow__Order__Mirabelle_Ounanimity(V_F) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_eq__equiv__class__iff2_0,axiom, % 1.58/1.64 ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_eq__equiv__class__iff2_1,axiom, % 1.58/1.64 ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.64 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_quotientE_0,axiom, % 1.58/1.64 ( V_X = c_Relation_OImage(V_r,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__commute_0,axiom, % 1.58/1.64 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_in__mkbot_3,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.64 | V_x = V_z % 1.58/1.64 | V_y = V_z ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_in__mkbot_5,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.64 | V_x = V_y % 1.58/1.64 | V_y = V_z ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_SigmaD1_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_SigmaD2_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_UnionE_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_bij__betw__restrict__eq_0,axiom, % 1.58/1.64 ( c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) % 1.58/1.64 | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_bij__betw__restrict__eq_1,axiom, % 1.58/1.64 ( c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b) % 1.58/1.64 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__insert_2,axiom, % 1.58/1.64 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) % 1.58/1.64 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b))) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Id__compose_0,axiom, % 1.58/1.64 ( c_FuncSet_Ocompose(V_A,c_FuncSet_Orestrict(c_COMBI(T_b),V_B,T_b,T_b),V_f,T_a,T_b,T_b) = V_f % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_compose__Id_0,axiom, % 1.58/1.64 ( c_FuncSet_Ocompose(V_A,V_g,c_FuncSet_Orestrict(c_COMBI(T_a),V_A,T_a,T_a),T_a,T_a,T_b) = V_g % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Int__Collect_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(V_P,V_x)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__triv_0,axiom, % 1.58/1.64 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_singletonE_0,axiom, % 1.58/1.64 ( V_b = V_a % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_InterI_1,axiom, % 1.58/1.64 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)))) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a))) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_image__constant_0,axiom, % 1.58/1.64 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__insert_0,axiom, % 1.58/1.64 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__Diff1_0,axiom, % 1.58/1.64 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_image__ident_0,axiom, % 1.58/1.64 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 1.58/1.64 % 1.58/1.64 cnf(cls_complete__lattice_OSup__UNIV_0,axiom, % 1.58/1.64 ( hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_top % 1.58/1.64 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_complete__lattice_OInf__UNIV_0,axiom, % 1.58/1.64 ( hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_bot % 1.58/1.64 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_in__mkbot_0,axiom, % 1.58/1.64 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_in__mkbot_1,axiom, % 1.58/1.64 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__diff_0,axiom, % 1.58/1.64 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_empty__is__image_0,axiom, % 1.58/1.64 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 1.58/1.64 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Inf__insert_0,axiom, % 1.58/1.64 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.64 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__Diff_0,axiom, % 1.58/1.64 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__vimage__image__eq_0,axiom, % 1.58/1.64 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Collect__def_0,axiom, % 1.58/1.64 c_Collect(V_P,T_a) = V_P ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__UNIV_0,axiom, % 1.58/1.64 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__insert_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__insert2_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__not__empty_0,axiom, % 1.58/1.64 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__id2_0,axiom, % 1.58/1.64 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_vimage__singleton__eq_1,axiom, % 1.58/1.64 hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__inter__insert_0,axiom, % 1.58/1.64 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__absorb2_0,axiom, % 1.58/1.64 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_insert__code_0,axiom, % 1.58/1.64 ( hBOOL(hAPP(V_A,V_x)) % 1.58/1.64 | V_y = V_x % 1.58/1.64 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 1.58/1.64 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.64 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inf__bot__right_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.64 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inf__bot__left_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.64 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Int__empty__left_0,axiom, % 1.58/1.64 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Int__empty__right_0,axiom, % 1.58/1.64 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_image__Int_0,axiom, % 1.58/1.64 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.64 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 1.58/1.64 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b) % 1.58/1.64 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 1.58/1.64 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b) % 1.58/1.64 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Sup__empty_0,axiom, % 1.58/1.64 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.64 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__empty_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__cancel_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.64 % 1.58/1.64 cnf(cls_COMBC__def_0,axiom, % 1.58/1.64 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_COMBI__def_0,axiom, % 1.58/1.64 hAPP(c_COMBI(T_a),V_P) = V_P ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Diff__idemp_0,axiom, % 1.58/1.64 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_rangeI_0,axiom, % 1.58/1.64 hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_doubleton__eq__iff_4,axiom, % 1.58/1.64 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_eq__eqI_1,axiom, % 1.58/1.64 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.58/1.64 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 1.58/1.64 | V_xa = V_y ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_eq__eqI_0,axiom, % 1.58/1.64 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.58/1.64 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.58/1.64 | V_x_H = V_y_H ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_image__empty_0,axiom, % 1.58/1.64 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inj__on__empty_0,axiom, % 1.58/1.64 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_Int__commute_0,axiom, % 1.58/1.64 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inf__commute_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.64 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.58/1.64 % 1.58/1.64 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 1.58/1.64 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.64 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.58/1.64 % 1.58/1.65 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom, % 1.58/1.65 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a) % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__Diff__single_0,axiom, % 1.58/1.65 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_singleton__inject_0,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mktop_4,axiom, % 1.58/1.65 ( V_xa = V_x % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__constant__conv_0,axiom, % 1.58/1.65 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__set__diff_0,axiom, % 1.58/1.65 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UN__constant_1,axiom, % 1.58/1.65 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c % 1.58/1.65 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_SUP__const_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 1.58/1.65 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 1.58/1.65 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__code_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__image_0,axiom, % 1.58/1.65 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__insert__right_1,axiom, % 1.58/1.65 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__insert__left_1,axiom, % 1.58/1.65 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UN__constant_0,axiom, % 1.58/1.65 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mkbot_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_z % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_empty__is__image_1,axiom, % 1.58/1.65 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__disjoint_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Inf__singleton_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__Collect_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__Lin_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b))) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__insert_1,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b))) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Union__disjoint_0,axiom, % 1.58/1.65 ( c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),V_C)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__Diff__if_1,axiom, % 1.58/1.65 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf1E_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_B,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf1E_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_A,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Sup__UNIV_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__insert__absorb_0,axiom, % 1.58/1.65 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bij__betw__def_0,axiom, % 1.58/1.65 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.65 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__Int_0,axiom, % 1.58/1.65 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Inf__binary_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_7,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_6,axiom, % 1.58/1.65 ( V_x = V_b % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_3,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_b % 1.58/1.65 | V_x = V_b % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_2,axiom, % 1.58/1.65 ( V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_xa = V_a ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_1,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_13,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_12,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_10,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_a % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_8,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_a % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_5,axiom, % 1.58/1.65 ( V_xa = V_x % 1.58/1.65 | V_x = V_xa % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_xa % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_14,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_11,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_9,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_4,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_b % 1.58/1.65 | V_x = V_b % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_7,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_x % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_6,axiom, % 1.58/1.65 ( V_x = V_a % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_3,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_a % 1.58/1.65 | V_y = V_a % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_2,axiom, % 1.58/1.65 ( V_y = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_1,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_13,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_12,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_10,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_b % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_8,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__above_5,axiom, % 1.58/1.65 ( V_xa = V_x % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_14,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_11,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_xa % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_xa % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_9,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_xa = V_x % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_b % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__below_4,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_a % 1.58/1.65 | V_y = V_a % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexCI_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_IntI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatLeastLessThan__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insertCI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_restrict__apply_0,axiom, % 1.58/1.65 ( hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x) = hAPP(V_f,V_x) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatLeastAtMost__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexCI_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ex__in__conv_0,axiom, % 1.58/1.65 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ball__empty_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_empty__iff_0,axiom, % 1.58/1.65 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_emptyE_0,axiom, % 1.58/1.65 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OgreaterThanLessThan__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insertE_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | V_a = V_b % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_compose__eq_0,axiom, % 1.58/1.65 ( hAPP(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_c,T_b),V_x) = hAPP(V_g,hAPP(V_f,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UNIV__I_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_DiffE_1,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_DiffE_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexCI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexI_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexE_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__iff_1,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insertI1_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insertCI_1,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ball__conj__distrib_3,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_Q,V_xf)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ball__conj__distrib_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,V_xg)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__image__mem__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__image__mem__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_injD_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 1.58/1.65 | V_x = V_y ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mkbot_4,axiom, % 1.58/1.65 ( V_x = V_y % 1.58/1.65 | V_y = V_x % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__ident_0,axiom, % 1.58/1.65 c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 1.58/1.65 % 1.58/1.65 cnf(cls_converse__converse_0,axiom, % 1.58/1.65 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__left__commute_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__assoc_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__assoc_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__left__commute_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_restrict__apply_1,axiom, % 1.58/1.65 ( hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x) = c_HOL_Oundefined(T_a) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 1.58/1.65 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 1.58/1.65 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_empty__Diff_0,axiom, % 1.58/1.65 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bij__betw__def_2,axiom, % 1.58/1.65 ( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.65 | c_Fun_Obij__betw(V_f,V_A,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__image__eq__iff_0,axiom, % 1.58/1.65 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 1.58/1.65 | V_A = V_B ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__eq__top__eq2_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 1.58/1.65 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__eq__top__eq1_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 1.58/1.65 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bot1E_0,axiom, % 1.58/1.65 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__Int__distrib_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__Int__distrib2_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__constant__conv_1,axiom, % 1.58/1.65 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.58/1.65 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UNIV__not__empty_0,axiom, % 1.58/1.65 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_disjoint__iff__not__equal_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__top__right_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__top__left_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__UNIV__left_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__UNIV__right_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__vimage__eq_0,axiom, % 1.58/1.65 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__restrict__eq_0,axiom, % 1.58/1.65 c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bij__betw__compose_0,axiom, % 1.58/1.65 ( c_Fun_Obij__betw(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),V_A,V_C,T_a,T_c) % 1.58/1.65 | ~ c_Fun_Obij__betw(V_g,V_B,V_C,T_b,T_c) % 1.58/1.65 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pow__bottom_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Set_OPow(V_B,T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__Int2_0,axiom, % 1.58/1.65 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Inf__UNIV_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_restrict__extensional_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_Oextensional(V_A,T_a,T_b))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_extensionalityI_1,axiom, % 1.58/1.65 ( hAPP(V_f,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.58/1.65 | V_f = V_g ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_top1I_0,axiom, % 1.58/1.65 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mktop_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_z % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Collect__empty__eq_0,axiom, % 1.58/1.65 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_doubleton__eq__iff_0,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.58/1.65 | V_a = V_d % 1.58/1.65 | V_a = V_c ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_doubleton__eq__iff_1,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.58/1.65 | V_b = V_c % 1.58/1.65 | V_a = V_c ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_doubleton__eq__iff_2,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.58/1.65 | V_a = V_d % 1.58/1.65 | V_b = V_d ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_doubleton__eq__iff_3,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 1.58/1.65 | V_b = V_c % 1.58/1.65 | V_b = V_d ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_surj__compose_0,axiom, % 1.58/1.65 c_Set_Oimage(c_FuncSet_Ocompose(V_A,V_g,V_f,T_b,T_a,T_c),V_A,T_b,T_c) = c_Set_Oimage(V_g,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_c) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 1.58/1.65 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 1.58/1.65 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bex__UN_3,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__restrict__eq_0,axiom, % 1.58/1.65 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.65 | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__restrict__eq_1,axiom, % 1.58/1.65 ( c_Fun_Oinj__on(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,T_a,T_b) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_empty__not__insert_0,axiom, % 1.58/1.65 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mktop_0,axiom, % 1.58/1.65 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mktop_1,axiom, % 1.58/1.65 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_update__accessor__congruence__foldE_0,axiom, % 1.58/1.65 ( hAPP(V_f,hAPP(V_acc,V_x)) != hAPP(V_f_H,hAPP(V_acc,V_x)) % 1.58/1.65 | ~ c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_aa) % 1.58/1.65 | hAPP(hAPP(V_upd,V_f),V_x) = hAPP(hAPP(V_upd,V_f_H),V_x) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_update__accessor__noopE_0,axiom, % 1.58/1.65 ( hAPP(V_f,hAPP(V_acc,V_x)) != hAPP(V_acc,V_x) % 1.58/1.65 | ~ c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b) % 1.58/1.65 | hAPP(hAPP(V_upd,V_f),V_x) = V_x ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__insert__left_0,axiom, % 1.58/1.65 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__insert__right_0,axiom, % 1.58/1.65 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__insert_0,axiom, % 1.58/1.65 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__UNIV_0,axiom, % 1.58/1.65 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__singleton__eq_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_a) = V_b % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_compose__extensional_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Ocompose(V_A,V_f,V_g,T_a,T_c,T_b)),c_FuncSet_Oextensional(V_A,T_a,T_b))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 1.58/1.65 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_empty__Collect__eq_0,axiom, % 1.58/1.65 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__code_1,axiom, % 1.58/1.65 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__left__idem_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__left__absorb_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Inf__empty_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_converseD_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_converseI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),c_Relation_Oconverse(V_r,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_converse__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bij__betw__def_1,axiom, % 1.58/1.65 ( c_Set_Oimage(V_f,V_A,T_a,T_b) = V_B % 1.58/1.65 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 1.58/1.65 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 1.58/1.65 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UN__empty2_0,axiom, % 1.58/1.65 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__Diff_0,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf__idem_0,axiom, % 1.58/1.65 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.58/1.65 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__absorb_0,axiom, % 1.58/1.65 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Sup__singleton_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_SigmaI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_mem__Sigma__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__is__empty_0,axiom, % 1.58/1.65 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_singleton__conv_0,axiom, % 1.58/1.65 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__Diff_0,axiom, % 1.58/1.65 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 1.58/1.65 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 1.58/1.65 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pair__eq_0,axiom, % 1.58/1.65 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.58/1.65 | V_a = V_a_H ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pair__eq_1,axiom, % 1.58/1.65 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.58/1.65 | V_b = V_b_H ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_singleton__iff_1,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Int__Collect_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Union__Pow__eq_0,axiom, % 1.58/1.65 c_Complete__Lattice_OSup__class_OSup(c_Set_OPow(V_A,T_a),tc_fun(T_a,tc_bool)) = V_A ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__code_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__code_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__compose_0,axiom, % 1.58/1.65 ( c_Fun_Oinj__on(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),V_A,T_a,T_c) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_c) % 1.58/1.65 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inf1I_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(V_B,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_singleton__conv2_0,axiom, % 1.58/1.65 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__empty_0,axiom, % 1.58/1.65 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Collect__mem__eq_0,axiom, % 1.58/1.65 c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mktop_3,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_y = V_z % 1.58/1.65 | V_x = V_z ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_in__mktop_5,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | V_x = V_z ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ballE_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexCI_3,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OgreaterThanLessThan__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OgreaterThanLessThan__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_IntE_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_IntE_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__contraD_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__iff_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.65 | V_x = V_y ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__on__def_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.65 | V_x = V_xa ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_inj__onD_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.58/1.65 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bex__empty_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_pred__equals__eq_0,axiom, % 1.58/1.65 ( hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R) != hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S) % 1.58/1.65 | V_R = V_S ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_CollectI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_CollectD_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,V_a)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatMost__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatMost__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Diff__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_DiffI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ball__conj__distrib_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_Q,V_xd)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ball__conj__distrib_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,V_xe)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ballE_1,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__ident_0,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | V_A = V_B ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UN__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UN__I_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OgreaterThan__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less,V_k),V_i)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OgreaterThan__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less,V_k),V_i)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bex__UN_4,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__eq_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimageI2_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimageI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimageE_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimageD_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatLeastAtMost__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatLeastAtMost__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bex__Un_7,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bex__Un_5,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bexE_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_insert__absorb_0,axiom, % 1.58/1.65 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OlessThan__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_k)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OlessThan__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less,V_i),V_k)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_SUP2__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_SUP1__iff_2,axiom, % 1.58/1.65 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_SUP2__I_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_SUP1__I_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatLeastLessThan__iff_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ord_OatLeastLessThan__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_rev__bexI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_rev__bexI_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(V_P,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_rev__image__eqI_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__iff_2,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_image__eqI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_imageI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pi__I_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pi__I_H_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_extensional__arb_0,axiom, % 1.58/1.65 ( hAPP(V_f,V_x) = c_HOL_Oundefined(T_b) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pi__I_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_extensionalityI_0,axiom, % 1.58/1.65 ( V_f = V_g % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pi__I_H_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_InterI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a)),V_C)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UnionE_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)),V_C)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_quotientE_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a)),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__const_0,axiom, % 1.58/1.65 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_vimage__const_1,axiom, % 1.58/1.65 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pow__top_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_A,T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_restrict__in__funcset_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_restrict__in__funcset_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(V_A,V_B,V_f,T_a,T_b))),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_compose__assoc_0,axiom, % 1.58/1.65 ( c_FuncSet_Ocompose(V_A,V_h,c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),T_a,T_c,T_d) = c_FuncSet_Ocompose(V_A,c_FuncSet_Ocompose(V_B,V_h,V_g,T_b,T_c,T_d),V_f,T_a,T_b,T_d) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_c,T_d)),V_h),c_FuncSet_OPi(V_C,c_COMBK(V_D,tc_fun(T_d,tc_bool),T_c),T_c,T_d))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_b,T_c)),V_g),c_FuncSet_OPi(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_funcset__compose_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_c)),c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c)),c_FuncSet_OPi(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_b,T_c)),V_g),c_FuncSet_OPi(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_funcset__id_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_a)),c_COMBI(T_a)),c_FuncSet_OPi(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_bij__betw__imp__funcset_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.58/1.65 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_lfp__const_0,axiom, % 1.58/1.65 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.58/1.65 | c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(V_t,T_a,T_a),T_a) = V_t ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_iso__tuple__update__accessor__cong__assist__def_0,axiom, % 1.58/1.65 ( hAPP(hAPP(V_upd,c_COMBK(hAPP(V_f,hAPP(V_acc,V_va)),T_a,T_a)),V_va) = hAPP(hAPP(V_upd,V_f),V_va) % 1.58/1.65 | ~ c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_assms_I3_J_0,axiom, % 1.58/1.65 c_Arrow__Order__Mirabelle_OIIA(v_F) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_u_0,axiom, % 1.58/1.65 c_Arrow__Order__Mirabelle_Ounanimity(v_F) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_notin__Lin__iff_1,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_notin__Lin__iff_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | V_x = V_y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Lin__irrefl_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_funcsetI_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b))),V_B)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_funcsetI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Pi__mem_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_PiE_0,axiom, % 1.58/1.65 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_InterD_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_UnionI_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)))) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_Times__eq__cancel2_0,axiom, % 1.58/1.65 ( c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) != c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_C)) % 1.58/1.65 | V_A = V_B ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_complete__Lin_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b)),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_a = V_b ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_mktop__Lin_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_mkbot__Lin_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_below__Lin_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y)),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_y ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_linear__alt_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_converse__in__Lin_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_converse__in__Lin_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_above__Lin_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y)),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.58/1.65 | V_x = V_y ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_const__Lin__Prof_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(V_L,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_funcset__mem_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),V_B)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_mem__def_1,axiom, % 1.58/1.65 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) % 1.58/1.65 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_mem__def_0,axiom, % 1.58/1.65 ( hBOOL(hAPP(V_S,V_x)) % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_COMBK__def_0,axiom, % 1.58/1.65 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 1.58/1.65 % 1.58/1.65 cnf(cls_CHAINED_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_CHAINED_0_01,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_conjecture_0,negated_conjecture, % 1.58/1.65 ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lba____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 1.58/1.65 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 1.58/1.65 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Lattices_Olattice(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 1.58/1.65 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Lattices_Olattice(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 1.58/1.65 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 1.58/1.65 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.58/1.65 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Lattices_Olattice,axiom, % 1.58/1.65 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Lattices_Olattice(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.58/1.65 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Orderings_Oorder(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Orderings_Otop,axiom, % 1.58/1.65 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Orderings_Otop(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__Orderings_Obot,axiom, % 1.58/1.65 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_Orderings_Obot(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_fun__HOL_Oord,axiom, % 1.58/1.65 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 1.58/1.65 | ~ class_HOL_Oord(T_1) ) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 1.58/1.65 class_Lattices_Oupper__semilattice(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 1.58/1.65 class_Lattices_Olower__semilattice(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 1.58/1.65 class_Lattices_Odistrib__lattice(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.58/1.65 class_Orderings_Opreorder(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.58/1.65 class_Orderings_Olinorder(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Lattices_Olattice,axiom, % 1.58/1.65 class_Lattices_Olattice(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.58/1.65 class_Orderings_Oorder(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__Orderings_Obot,axiom, % 1.58/1.65 class_Orderings_Obot(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_nat__HOL_Oord,axiom, % 1.58/1.65 class_HOL_Oord(tc_nat) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 1.58/1.65 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 1.58/1.65 class_Lattices_Oupper__semilattice(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 1.58/1.65 class_Lattices_Olower__semilattice(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 1.58/1.65 class_Lattices_Odistrib__lattice(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 1.58/1.65 class_Lattices_Obounded__lattice(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.58/1.65 class_Orderings_Opreorder(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Lattices_Olattice,axiom, % 1.58/1.65 class_Lattices_Olattice(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.58/1.65 class_Orderings_Oorder(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Orderings_Otop,axiom, % 1.58/1.65 class_Orderings_Otop(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__Orderings_Obot,axiom, % 1.58/1.65 class_Orderings_Obot(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(clsarity_bool__HOL_Oord,axiom, % 1.58/1.65 class_HOL_Oord(tc_bool) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ATP__Linkup_OCOMBK__def_0,axiom, % 1.58/1.65 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ATP__Linkup_OCOMBI__def_0,axiom, % 1.58/1.65 hAPP(c_COMBI(T_a),V_P) = V_P ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.58/1.65 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 1.58/1.65 % 1.58/1.65 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.58/1.65 ( V_X = V_Y % 1.58/1.65 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 1.58/1.65 % 1.58/1.65 %------------------------------------------------------------------------------ % 1.58/1.65 %------------------------------------------- % 1.58/1.65 % Proof found % 1.58/1.65 % SZS status Theorem for theBenchmark % 1.58/1.65 % SZS output start Proof % 1.58/1.65 %ClaNum:986(EqnAxiom:301) % 1.58/1.65 %VarNum:6766(SingletonVarNum:2320) % 1.58/1.65 %MaxLitNum:10 % 1.58/1.65 %MaxfuncDepth:6 % 1.58/1.65 %SharedTerms:56 % 1.58/1.65 %goalClause: 471 % 1.58/1.65 %singleGoalClaCount:1 % 1.58/1.65 [302]P1(a1) % 1.58/1.65 [303]P1(a68) % 1.58/1.65 [304]P2(a1) % 1.58/1.65 [305]P2(a68) % 1.58/1.65 [306]P16(a1) % 1.58/1.65 [307]P16(a68) % 1.58/1.65 [308]P17(a1) % 1.58/1.65 [309]P17(a68) % 1.58/1.65 [310]P3(a1) % 1.58/1.65 [311]P22(a1) % 1.58/1.65 [312]P15(a1) % 1.58/1.65 [313]P15(a68) % 1.58/1.65 [314]P23(a1) % 1.58/1.65 [315]P23(a68) % 1.58/1.65 [316]P4(a1) % 1.58/1.65 [317]P18(a68) % 1.58/1.65 [318]P19(a1) % 1.58/1.65 [319]P19(a68) % 1.58/1.65 [320]P14(a1) % 1.58/1.65 [321]P14(a68) % 1.58/1.65 [322]P5(a70) % 1.58/1.65 [323]P6(a70) % 1.58/1.65 [455]P24(f25(f25(f65(f69(f69(a67,f69(f71(a66,a66),a1)),f69(f71(a66,a66),a1))),a70),f37(a20,f28(a4,f69(f69(f71(a66,a66),a1),a1),f69(a67,f69(f71(a66,a66),a1))),f69(a67,f69(f71(a66,a66),a1)),f69(f71(a66,a66),a1)))) % 1.58/1.65 [387]P24(f25(f25(f65(f69(f71(a66,a66),a1)),a72),a4)) % 1.58/1.65 [388]P24(f25(f25(f65(f69(f71(a66,a66),a1)),a73),a4)) % 1.58/1.65 [471]~P24(f25(f25(f65(f69(f71(a66,a66),a1)),f25(a70,f28(a73,f69(f71(a66,a66),a1),a67))),a4)) % 1.58/1.65 [460]~E(f49(f69(x4601,a1)),f51(f69(x4601,a1))) % 1.58/1.65 [328]P7(x3281,x3281,f69(x3282,a1)) % 1.58/1.65 [360]P8(f2(x3601),x3602,x3601,x3601) % 1.58/1.65 [325]E(f25(f2(x3251),x3252),x3252) % 1.58/1.65 [326]E(f27(f26(x3261,x3262),f69(x3262,a1)),x3261) % 1.58/1.65 [329]E(f30(x3291,x3291,f69(x3292,a1)),x3291) % 1.58/1.65 [330]E(f48(x3301,x3301,f69(x3302,a1)),x3301) % 1.58/1.65 [331]E(f31(x3311,x3311,f69(x3312,a1)),f49(f69(x3312,a1))) % 1.58/1.65 [335]P7(x3351,f51(f69(x3352,a1)),f69(x3352,a1)) % 1.58/1.65 [336]P7(f49(f69(x3361,a1)),x3362,f69(x3361,a1)) % 1.58/1.65 [337]E(f30(x3371,f51(f69(x3372,a1)),f69(x3372,a1)),x3371) % 1.58/1.65 [338]E(f48(x3381,f49(f69(x3382,a1)),f69(x3382,a1)),x3381) % 1.58/1.65 [339]E(f31(x3391,f49(f69(x3392,a1)),f69(x3392,a1)),x3391) % 1.58/1.65 [340]E(f30(f51(f69(x3401,a1)),x3402,f69(x3401,a1)),x3402) % 1.58/1.65 [341]E(f48(f49(f69(x3411,a1)),x3412,f69(x3411,a1)),x3412) % 1.58/1.65 [345]E(f30(x3451,f49(f69(x3452,a1)),f69(x3452,a1)),f49(f69(x3452,a1))) % 1.58/1.65 [346]E(f48(x3461,f51(f69(x3462,a1)),f69(x3462,a1)),f51(f69(x3462,a1))) % 1.58/1.65 [347]E(f31(x3471,f51(f69(x3472,a1)),f69(x3472,a1)),f49(f69(x3472,a1))) % 1.58/1.65 [348]E(f30(f49(f69(x3481,a1)),x3482,f69(x3481,a1)),f49(f69(x3481,a1))) % 1.58/1.65 [349]E(f48(f51(f69(x3491,a1)),x3492,f69(x3491,a1)),f51(f69(x3491,a1))) % 1.58/1.65 [350]E(f31(f49(f69(x3501,a1)),x3502,f69(x3501,a1)),f49(f69(x3501,a1))) % 1.58/1.65 [361]E(f63(f2(x3611),x3612,x3611,x3611),x3612) % 1.58/1.65 [362]E(f64(f2(x3621),x3622,x3621,x3621),x3622) % 1.58/1.65 [375]P24(f25(f25(f65(f69(x3751,a1)),x3752),f26(x3752,x3751))) % 1.58/1.65 [384]P24(f25(f25(f65(f69(x3841,a1)),f49(f69(x3841,a1))),f26(x3842,x3841))) % 1.58/1.65 [404]E(f48(f25(f3(f62(x4041),x4041,x4041,a1),x4042),f49(f69(x4041,a1)),f69(x4041,a1)),f25(f62(x4041),x4042)) % 1.58/1.65 [332]P24(f25(f25(f62(x3321),x3322),x3322)) % 1.58/1.65 [342]P24(f25(f51(f69(x3421,a1)),x3422)) % 1.58/1.65 [354]P24(f25(f25(f65(x3541),x3542),f51(f69(x3541,a1)))) % 1.58/1.65 [386]E(f25(f3(f65(x3861),x3861,f69(x3861,a1),a1),x3862),x3862) % 1.58/1.65 [461]~P24(f25(f49(f69(x4611,a1)),x4612)) % 1.58/1.65 [464]~P24(f25(f25(f65(x4641),x4642),f49(f69(x4641,a1)))) % 1.58/1.65 [418]P24(f25(f25(f65(f69(x4181,x4181)),f2(x4181)),f37(x4182,f28(x4182,f69(x4181,a1),x4181),x4181,x4181))) % 1.58/1.65 [343]E(f30(x3431,x3432,f69(x3433,a1)),f30(x3432,x3431,f69(x3433,a1))) % 1.58/1.65 [344]E(f48(x3441,x3442,f69(x3443,a1)),f48(x3442,x3441,f69(x3443,a1))) % 1.58/1.65 [351]E(f52(f52(x3511,x3512,x3513),x3513,x3512),x3511) % 1.58/1.65 [355]P7(x3551,f48(x3552,x3551,f69(x3553,a1)),f69(x3553,a1)) % 1.58/1.65 [356]P7(x3561,f48(x3561,x3562,f69(x3563,a1)),f69(x3563,a1)) % 1.58/1.65 [357]P7(f30(x3571,x3572,f69(x3573,a1)),x3572,f69(x3573,a1)) % 1.58/1.66 [358]P7(f30(x3581,x3582,f69(x3583,a1)),x3581,f69(x3583,a1)) % 1.58/1.66 [359]P7(f31(x3591,x3592,f69(x3593,a1)),x3591,f69(x3593,a1)) % 1.58/1.66 [363]E(f30(x3631,f31(x3632,x3631,f69(x3633,a1)),f69(x3633,a1)),f49(f69(x3633,a1))) % 1.58/1.66 [364]P8(x3641,f49(f69(x3642,a1)),x3642,x3643) % 1.58/1.66 [365]E(f30(x3651,f30(x3651,x3652,f69(x3653,a1)),f69(x3653,a1)),f30(x3651,x3652,f69(x3653,a1))) % 1.58/1.66 [366]E(f48(x3661,f48(x3661,x3662,f69(x3663,a1)),f69(x3663,a1)),f48(x3661,x3662,f69(x3663,a1))) % 1.58/1.66 [367]E(f48(x3671,f31(x3672,x3671,f69(x3673,a1)),f69(x3673,a1)),f48(x3671,x3672,f69(x3673,a1))) % 1.58/1.66 [368]E(f48(f31(x3681,x3682,f69(x3683,a1)),x3682,f69(x3683,a1)),f48(x3681,x3682,f69(x3683,a1))) % 1.58/1.66 [369]E(f31(f31(x3691,x3692,f69(x3693,a1)),x3692,f69(x3693,a1)),f31(x3691,x3692,f69(x3693,a1))) % 1.58/1.66 [376]E(f48(f31(x3761,x3762,f69(x3763,a1)),f30(x3761,x3762,f69(x3763,a1)),f69(x3763,a1)),x3761) % 1.58/1.66 [383]E(f32(f49(f69(x3831,a1)),f28(x3832,f69(x3833,a1),x3831),x3831,f69(x3833,a1)),f49(f69(x3833,a1))) % 1.58/1.66 [385]E(f32(x3851,f28(f49(f69(x3852,a1)),f69(x3852,a1),x3853),x3853,f69(x3852,a1)),f49(f69(x3852,a1))) % 1.58/1.66 [433]E(f48(f48(f25(f3(f62(x4331),x4331,x4331,a1),x4332),f49(f69(x4331,a1)),f69(x4331,a1)),x4333,f69(x4331,a1)),f48(f25(f3(f62(x4331),x4331,x4331,a1),x4332),x4333,f69(x4331,a1))) % 1.58/1.66 [452]E(f48(f25(f3(f62(x4521),x4521,x4521,a1),x4522),f31(x4523,f48(f25(f3(f62(x4521),x4521,x4521,a1),x4522),f49(f69(x4521,a1)),f69(x4521,a1)),f69(x4521,a1)),f69(x4521,a1)),f48(f25(f3(f62(x4521),x4521,x4521,a1),x4522),x4523,f69(x4521,a1))) % 1.58/1.66 [466]~E(f48(f25(f3(f62(x4661),x4661,x4661,a1),x4662),x4663,f69(x4661,a1)),f49(f69(x4661,a1))) % 1.58/1.66 [467]~P24(f25(f25(f65(f71(a66,a66)),f54(x4671,x4672,a66,a66)),f21(x4673,x4672))) % 1.58/1.66 [468]~P24(f25(f25(f65(f71(a66,a66)),f54(x4681,x4682,a66,a66)),f24(x4683,x4681))) % 1.58/1.66 [371]E(f63(x3711,f49(f69(x3712,a1)),x3712,x3713),f49(f69(x3713,a1))) % 1.58/1.66 [372]E(f53(x3721,f49(f69(x3722,a1)),x3722,x3723),f49(f69(x3723,a1))) % 1.58/1.66 [373]E(f64(x3731,f49(f69(x3732,a1)),x3733,x3732),f49(f69(x3733,a1))) % 1.58/1.66 [374]E(f64(x3741,f51(f69(x3742,a1)),x3743,x3742),f51(f69(x3743,a1))) % 1.58/1.66 [439]P24(f25(f48(f25(f3(f62(x4391),x4391,x4391,a1),x4392),x4393,f69(x4391,a1)),x4392)) % 1.58/1.66 [442]P24(f25(f25(f65(x4421),x4422),f48(f25(f3(f62(x4421),x4421,x4421,a1),x4422),x4423,f69(x4421,a1)))) % 1.58/1.66 [334]E(f25(f28(x3341,x3342,x3343),x3344),x3341) % 1.58/1.66 [378]E(f30(x3781,f30(x3782,x3783,f69(x3784,a1)),f69(x3784,a1)),f30(x3782,f30(x3781,x3783,f69(x3784,a1)),f69(x3784,a1))) % 1.58/1.66 [379]E(f48(x3791,f48(x3792,x3793,f69(x3794,a1)),f69(x3794,a1)),f48(x3792,f48(x3791,x3793,f69(x3794,a1)),f69(x3794,a1))) % 1.58/1.66 [380]E(f30(f30(x3801,x3802,f69(x3803,a1)),x3804,f69(x3803,a1)),f30(x3801,f30(x3802,x3804,f69(x3803,a1)),f69(x3803,a1))) % 1.58/1.66 [381]E(f48(f48(x3811,x3812,f69(x3813,a1)),x3814,f69(x3813,a1)),f48(x3811,f48(x3812,x3814,f69(x3813,a1)),f69(x3813,a1))) % 1.58/1.66 [382]E(f31(f30(x3821,x3822,f69(x3823,a1)),x3824,f69(x3823,a1)),f30(x3821,f31(x3822,x3824,f69(x3823,a1)),f69(x3823,a1))) % 1.58/1.66 [389]E(f48(f30(x3891,x3892,f69(x3893,a1)),f30(x3891,x3894,f69(x3893,a1)),f69(x3893,a1)),f30(x3891,f48(x3892,x3894,f69(x3893,a1)),f69(x3893,a1))) % 1.58/1.66 [390]E(f31(f30(x3901,x3902,f69(x3903,a1)),f30(x3901,x3904,f69(x3903,a1)),f69(x3903,a1)),f30(x3901,f31(x3902,x3904,f69(x3903,a1)),f69(x3903,a1))) % 1.58/1.66 [391]E(f30(f48(x3911,x3912,f69(x3913,a1)),f48(x3911,x3914,f69(x3913,a1)),f69(x3913,a1)),f48(x3911,f30(x3912,x3914,f69(x3913,a1)),f69(x3913,a1))) % 1.58/1.66 [392]E(f48(f31(x3921,x3922,f69(x3923,a1)),f31(x3921,x3924,f69(x3923,a1)),f69(x3923,a1)),f31(x3921,f30(x3922,x3924,f69(x3923,a1)),f69(x3923,a1))) % 1.58/1.66 [393]E(f30(f31(x3931,x3932,f69(x3933,a1)),f31(x3931,x3934,f69(x3933,a1)),f69(x3933,a1)),f31(x3931,f48(x3932,x3934,f69(x3933,a1)),f69(x3933,a1))) % 1.58/1.66 [394]E(f48(f30(x3941,x3942,f69(x3943,a1)),f30(x3944,x3942,f69(x3943,a1)),f69(x3943,a1)),f30(f48(x3941,x3944,f69(x3943,a1)),x3942,f69(x3943,a1))) % 1.58/1.66 [395]E(f31(f30(x3951,x3952,f69(x3953,a1)),f30(x3954,x3952,f69(x3953,a1)),f69(x3953,a1)),f30(f31(x3951,x3954,f69(x3953,a1)),x3952,f69(x3953,a1))) % 1.58/1.66 [396]E(f30(f48(x3961,x3962,f69(x3963,a1)),f48(x3964,x3962,f69(x3963,a1)),f69(x3963,a1)),f48(f30(x3961,x3964,f69(x3963,a1)),x3962,f69(x3963,a1))) % 1.58/1.66 [397]E(f48(f31(x3971,x3972,f69(x3973,a1)),f31(x3974,x3972,f69(x3973,a1)),f69(x3973,a1)),f31(f48(x3971,x3974,f69(x3973,a1)),x3972,f69(x3973,a1))) % 1.58/1.66 [398]E(f31(f30(x3981,x3982,f69(x3983,a1)),f30(x3984,x3982,f69(x3983,a1)),f69(x3983,a1)),f31(f30(x3981,x3982,f69(x3983,a1)),x3984,f69(x3983,a1))) % 1.58/1.66 [399]E(f48(x3991,f32(f49(f69(x3992,a1)),x3993,x3992,f69(x3994,a1)),f69(x3994,a1)),x3991) % 1.58/1.66 [400]E(f31(x4001,f32(f49(f69(x4002,a1)),x4003,x4002,f69(x4004,a1)),f69(x4004,a1)),x4001) % 1.58/1.66 [401]E(f48(f32(f49(f69(x4011,a1)),x4012,x4011,f69(x4013,a1)),x4014,f69(x4013,a1)),x4014) % 1.58/1.66 [402]E(f63(f33(x4021,x4022,x4023,x4024),x4022,x4023,x4024),f63(x4021,x4022,x4023,x4024)) % 1.58/1.66 [407]E(f34(x4071,x4072,f25(x4071,x4072),x4073,x4074),x4071) % 1.58/1.66 [409]E(f63(x4091,f64(x4091,x4092,x4093,x4094),x4093,x4094),f30(x4092,f63(x4091,f51(f69(x4093,a1)),x4093,x4094),f69(x4094,a1))) % 1.58/1.66 [415]P7(f63(x4151,f64(x4151,x4152,x4153,x4154),x4153,x4154),x4152,f69(x4154,a1)) % 1.58/1.66 [419]E(f48(f48(f30(x4191,x4192,f69(x4193,a1)),f30(x4192,x4194,f69(x4193,a1)),f69(x4193,a1)),f30(x4194,x4191,f69(x4193,a1)),f69(x4193,a1)),f30(f30(f48(x4191,x4192,f69(x4193,a1)),f48(x4192,x4194,f69(x4193,a1)),f69(x4193,a1)),f48(x4194,x4191,f69(x4193,a1)),f69(x4193,a1))) % 1.58/1.66 [424]P24(f25(f25(f65(f69(x4241,x4242)),f33(x4243,x4244,x4241,x4242)),f38(x4244,x4241,x4242))) % 1.58/1.66 [425]E(f48(f25(f3(f62(x4251),x4251,x4251,a1),x4252),f32(f49(f69(x4253,a1)),x4254,x4253,f69(x4251,a1)),f69(x4251,a1)),f48(f25(f3(f62(x4251),x4251,x4251,a1),x4252),f49(f69(x4251,a1)),f69(x4251,a1))) % 1.58/1.66 [445]E(f31(f31(x4451,x4452,f69(x4453,a1)),f48(f25(f3(f62(x4453),x4453,x4453,a1),x4454),f49(f69(x4453,a1)),f69(x4453,a1)),f69(x4453,a1)),f31(x4451,f48(f25(f3(f62(x4453),x4453,x4453,a1),x4454),x4452,f69(x4453,a1)),f69(x4453,a1))) % 1.58/1.66 [448]P9(x4481,x4482,f49(f69(x4483,a1)),x4482,x4483,x4484) % 1.58/1.66 [453]E(f31(f31(x4531,f48(f25(f3(f62(x4532),x4532,x4532,a1),x4533),f49(f69(x4532,a1)),f69(x4532,a1)),f69(x4532,a1)),x4534,f69(x4532,a1)),f31(x4531,f48(f25(f3(f62(x4532),x4532,x4532,a1),x4533),x4534,f69(x4532,a1)),f69(x4532,a1))) % 1.58/1.66 [456]E(f33(f19(x4561,f33(f45(x4562,x4561,x4563,x4564),f63(x4561,x4562,x4563,x4564),x4564,x4563),x4563,x4564,x4564),f63(x4561,x4562,x4563,x4564),x4564,x4564),f33(f2(x4564),f63(x4561,x4562,x4563,x4564),x4564,x4564)) % 1.58/1.66 [447]E(f25(f3(f19(f65(x4471),x4472,x4471,f69(f69(x4471,a1),a1),x4473),x4473,f69(x4471,a1),a1),x4474),f64(x4472,x4474,x4473,x4471)) % 1.58/1.66 [408]P24(f25(f25(f65(x4081),f25(x4082,x4083)),f63(x4082,f51(f69(x4084,a1)),x4084,x4081))) % 1.58/1.66 [457]P24(f25(f25(f65(x4571),x4572),f64(x4573,f48(f25(f3(f62(x4574),x4574,x4574,a1),f25(x4573,x4572)),f49(f69(x4574,a1)),f69(x4574,a1)),x4571,x4574))) % 1.58/1.66 [458]P24(f25(f25(f65(f69(x4581,x4582)),f33(f45(x4583,x4584,x4582,x4581),f63(x4584,x4583,x4582,x4581),x4581,x4582)),f37(f63(x4584,x4583,x4582,x4581),f28(x4583,f69(x4582,a1),x4581),x4581,x4582))) % 1.58/1.66 [416]E(f48(f32(x4161,x4162,x4163,f69(x4164,a1)),f32(x4165,x4162,x4163,f69(x4164,a1)),f69(x4164,a1)),f32(f48(x4161,x4165,f69(x4163,a1)),x4162,x4163,f69(x4164,a1))) % 1.58/1.66 [422]E(f25(f34(x4221,x4222,x4223,x4224,x4225),x4222),x4223) % 1.58/1.66 [429]E(f32(f48(f25(f3(f62(x4291),x4291,x4291,a1),x4292),x4293,f69(x4291,a1)),x4294,x4291,f69(x4295,a1)),f48(f25(x4294,x4292),f32(x4293,x4294,x4291,f69(x4295,a1)),f69(x4295,a1))) % 1.58/1.66 [410]E(f48(f63(x4101,x4102,x4103,x4104),f63(x4101,x4105,x4103,x4104),f69(x4104,a1)),f63(x4101,f48(x4102,x4105,f69(x4103,a1)),x4103,x4104)) % 1.58/1.66 [411]E(f48(f53(x4111,x4112,x4113,x4114),f53(x4111,x4115,x4113,x4114),f69(x4114,a1)),f53(x4111,f48(x4112,x4115,f69(x4113,a1)),x4113,x4114)) % 1.58/1.66 [412]E(f30(f64(x4121,x4122,x4123,x4124),f64(x4121,x4125,x4123,x4124),f69(x4123,a1)),f64(x4121,f30(x4122,x4125,f69(x4124,a1)),x4123,x4124)) % 1.58/1.66 [413]E(f48(f64(x4131,x4132,x4133,x4134),f64(x4131,x4135,x4133,x4134),f69(x4133,a1)),f64(x4131,f48(x4132,x4135,f69(x4134,a1)),x4133,x4134)) % 1.58/1.66 [414]E(f31(f64(x4141,x4142,x4143,x4144),f64(x4141,x4145,x4143,x4144),f69(x4143,a1)),f64(x4141,f31(x4142,x4145,f69(x4144,a1)),x4143,x4144)) % 1.58/1.66 [426]P7(f63(x4261,f30(x4262,x4263,f69(x4264,a1)),x4264,x4265),f30(f63(x4261,x4262,x4264,x4265),f63(x4261,x4263,x4264,x4265),f69(x4265,a1)),f69(x4265,a1)) % 1.58/1.66 [427]P7(f53(x4271,f30(x4272,x4273,f69(x4274,a1)),x4274,x4275),f30(f53(x4271,x4272,x4274,x4275),f53(x4271,x4273,x4274,x4275),f69(x4275,a1)),f69(x4275,a1)) % 1.58/1.66 [428]P7(f31(f63(x4281,x4282,x4283,x4284),f63(x4281,x4285,x4283,x4284),f69(x4284,a1)),f63(x4281,f31(x4282,x4285,f69(x4283,a1)),x4283,x4284),f69(x4284,a1)) % 1.58/1.66 [437]E(f63(x4371,f48(f25(f3(f62(x4372),x4372,x4372,a1),x4373),x4374,f69(x4372,a1)),x4372,x4375),f48(f25(f3(f62(x4375),x4375,x4375,a1),f25(x4371,x4373)),f63(x4371,x4374,x4372,x4375),f69(x4375,a1))) % 1.58/1.66 [454]E(f48(f64(x4541,f48(f25(f3(f62(x4542),x4542,x4542,a1),x4543),f49(f69(x4542,a1)),f69(x4542,a1)),x4544,x4542),f64(x4541,x4545,x4544,x4542),f69(x4544,a1)),f64(x4541,f48(f25(f3(f62(x4542),x4542,x4542,a1),x4543),x4545,f69(x4542,a1)),x4544,x4542)) % 1.58/1.66 [434]E(f63(f19(x4341,x4342,x4343,x4344,x4345),f51(f69(x4345,a1)),x4345,x4344),f63(x4341,f63(x4342,f51(f69(x4345,a1)),x4345,x4343),x4343,x4344)) % 1.58/1.66 [423]E(f25(f19(x4231,x4232,x4233,x4234,x4235),x4236),f25(x4231,f25(x4232,x4236))) % 1.58/1.66 [430]E(f63(x4301,f63(x4302,x4303,x4304,x4305),x4305,x4306),f63(f19(x4301,x4302,x4305,x4306,x4304),x4303,x4304,x4306)) % 1.58/1.66 [431]E(f32(f63(x4311,x4312,x4313,x4314),x4315,x4314,f69(x4316,a1)),f32(x4312,f19(x4315,x4311,x4314,f69(x4316,a1),x4313),x4313,f69(x4316,a1))) % 1.58/1.66 [432]E(f32(x4321,f19(x4322,x4323,x4324,f69(x4325,a1),x4326),x4326,f69(x4325,a1)),f32(f63(x4323,x4321,x4326,x4324),x4322,x4324,f69(x4325,a1))) % 1.58/1.66 [444]E(f34(f34(x4441,x4442,x4443,x4444,x4445),x4442,x4446,x4444,x4445),f34(x4441,x4442,x4446,x4444,x4445)) % 1.58/1.66 [403]E(f25(f25(f3(x4031,x4032,x4033,x4034),x4035),x4036),f25(f25(x4031,x4036),x4035)) % 1.58/1.66 [449]E(f63(f33(f19(x4491,x4492,x4493,x4494,x4495),x4496,x4495,x4494),x4496,x4495,x4494),f63(x4491,f63(x4492,x4496,x4495,x4493),x4493,x4494)) % 1.58/1.66 [497]~P4(x4971)+E(f27(f49(f69(x4971,a1)),x4971),f49(x4971)) % 1.58/1.66 [498]~P4(x4981)+E(f27(f51(f69(x4981,a1)),x4981),f51(x4981)) % 1.58/1.66 [499]~P4(x4991)+E(f29(f49(f69(x4991,a1)),x4991),f51(x4991)) % 1.58/1.66 [500]~P4(x5001)+E(f29(f51(f69(x5001,a1)),x5001),f49(x5001)) % 1.58/1.66 [758]P24(f25(f25(f65(f69(f71(a66,a66),a1)),f52(x7581,a66,a66)),a4))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x7581),a4)) % 1.58/1.66 [767]~P24(f25(f25(f65(f69(f71(a66,a66),a1)),f52(x7671,a66,a66)),a4))+P24(f25(f25(f65(f69(f71(a66,a66),a1)),x7671),a4)) % 1.58/1.66 [801]P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),f28(x8011,f69(f71(a66,a66),a1),a67)),a20))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8011),a4)) % 1.58/1.66 [483]~P17(x4832)+P7(x4831,x4831,x4832) % 1.58/1.66 [484]~P23(x4842)+P7(x4841,x4841,x4842) % 1.58/1.66 [472]~P2(x4722)+P1(f69(x4721,x4722)) % 1.58/1.66 [473]~P2(x4732)+P2(f69(x4731,x4732)) % 1.58/1.66 [474]~P2(x4742)+P16(f69(x4741,x4742)) % 1.58/1.66 [475]~P17(x4752)+P17(f69(x4751,x4752)) % 1.58/1.66 [476]~P3(x4762)+P3(f69(x4761,x4762)) % 1.58/1.66 [477]~P22(x4772)+P22(f69(x4771,x4772)) % 1.58/1.66 [478]~P15(x4782)+P15(f69(x4781,x4782)) % 1.58/1.66 [479]~P23(x4792)+P23(f69(x4791,x4792)) % 1.58/1.66 [480]~P4(x4802)+P4(f69(x4801,x4802)) % 1.58/1.66 [481]~P19(x4812)+P19(f69(x4811,x4812)) % 1.58/1.66 [482]~P14(x4822)+P14(f69(x4821,x4822)) % 1.58/1.66 [485]~P1(x4852)+E(f30(x4851,x4851,x4852),x4851) % 1.58/1.66 [486]~P16(x4862)+E(f48(x4861,x4861,x4862),x4861) % 1.58/1.66 [487]~P22(x4872)+P7(x4871,f51(x4872),x4872) % 1.58/1.66 [488]~P19(x4881)+P7(f49(x4881),x4882,x4881) % 1.58/1.66 [489]~P3(x4892)+E(f30(x4891,f51(x4892),x4892),x4891) % 1.58/1.66 [490]~P3(x4902)+E(f48(x4901,f49(x4902),x4902),x4901) % 1.58/1.66 [491]~P3(x4911)+E(f30(f51(x4911),x4912,x4911),x4912) % 1.58/1.66 [492]~P3(x4921)+E(f48(f49(x4921),x4922,x4921),x4922) % 1.58/1.66 [493]~P3(x4932)+E(f30(x4931,f49(x4932),x4932),f49(x4932)) % 1.58/1.66 [494]~P3(x4942)+E(f48(x4941,f51(x4942),x4942),f51(x4942)) % 1.58/1.66 [495]~P3(x4951)+E(f30(f49(x4951),x4952,x4951),f49(x4951)) % 1.58/1.66 [496]~P3(x4961)+E(f48(f51(x4961),x4962,x4961),f51(x4961)) % 1.58/1.66 [512]~P4(x5122)+E(f47(f28(x5121,x5122,x5122),x5122),x5121) % 1.58/1.66 [554]~P7(x5541,f49(f69(x5542,a1)),f69(x5542,a1))+E(x5541,f49(f69(x5542,a1))) % 1.58/1.66 [771]E(x7711,x7712)+P24(f25(f25(f65(f71(a66,a66)),f54(x7711,x7712,a66,a66)),f74(x7711,x7712))) % 1.58/1.66 [661]E(x6611,x6612)+P24(f25(f25(f65(f69(f71(a66,a66),a1)),f74(x6611,x6612)),a4)) % 1.58/1.66 [777]~P4(x7771)+E(f27(f48(f25(f3(f62(x7771),x7771,x7771,a1),x7772),f49(f69(x7771,a1)),f69(x7771,a1)),x7771),x7772) % 1.58/1.66 [778]~P4(x7781)+E(f29(f48(f25(f3(f62(x7781),x7781,x7781,a1),x7782),f49(f69(x7781,a1)),f69(x7781,a1)),x7781),x7782) % 1.58/1.66 [737]P24(f25(f25(f65(f69(f71(a66,a66),a1)),f21(x7371,x7372)),a4))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x7371),a4)) % 1.58/1.66 [738]P24(f25(f25(f65(f69(f71(a66,a66),a1)),f24(x7381,x7382)),a4))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x7381),a4)) % 1.58/1.66 [507]~P1(x5073)+E(f30(x5071,x5072,x5073),f30(x5072,x5071,x5073)) % 1.58/1.66 [508]~P2(x5083)+E(f30(x5081,x5082,x5083),f30(x5082,x5081,x5083)) % 1.58/1.66 [509]~P2(x5093)+E(f48(x5091,x5092,x5093),f48(x5092,x5091,x5093)) % 1.58/1.66 [510]~P16(x5103)+E(f48(x5101,x5102,x5103),f48(x5102,x5101,x5103)) % 1.58/1.66 [521]~P2(x5213)+P7(x5211,f48(x5212,x5211,x5213),x5213) % 1.58/1.66 [522]~P16(x5223)+P7(x5221,f48(x5222,x5221,x5223),x5223) % 1.58/1.66 [523]~P2(x5233)+P7(x5231,f48(x5231,x5232,x5233),x5233) % 1.58/1.66 [524]~P16(x5243)+P7(x5241,f48(x5241,x5242,x5243),x5243) % 1.58/1.66 [525]~P1(x5253)+P7(f30(x5251,x5252,x5253),x5252,x5253) % 1.58/1.66 [526]~P2(x5263)+P7(f30(x5261,x5262,x5263),x5262,x5263) % 1.58/1.66 [527]~P1(x5273)+P7(f30(x5271,x5272,x5273),x5271,x5273) % 1.58/1.66 [528]~P2(x5283)+P7(f30(x5281,x5282,x5283),x5281,x5283) % 1.58/1.66 [501]~P24(f25(x5011,x5013))+~E(x5011,f49(f69(x5012,a1))) % 1.58/1.66 [502]~P24(f25(x5022,x5023))+~E(f49(f69(x5021,a1)),x5022) % 1.58/1.66 [529]~P2(x5293)+E(f30(x5291,f48(x5291,x5292,x5293),x5293),x5291) % 1.58/1.66 [530]~P2(x5303)+E(f48(x5301,f30(x5301,x5302,x5303),x5303),x5301) % 1.58/1.66 [537]E(x5371,f49(f69(x5372,a1)))+~E(f48(x5373,x5371,f69(x5372,a1)),f49(f69(x5372,a1))) % 1.58/1.66 [538]E(x5381,f49(f69(x5382,a1)))+~E(f48(x5381,x5383,f69(x5382,a1)),f49(f69(x5382,a1))) % 1.58/1.66 [543]~P7(x5432,x5431,f69(x5433,a1))+E(f30(x5431,x5432,f69(x5433,a1)),x5432) % 1.58/1.66 [544]~P7(x5441,x5442,f69(x5443,a1))+E(f30(x5441,x5442,f69(x5443,a1)),x5441) % 1.58/1.66 [545]~P7(x5451,x5452,f69(x5453,a1))+E(f48(x5451,x5452,f69(x5453,a1)),x5452) % 1.58/1.66 [546]~P7(x5462,x5461,f69(x5463,a1))+E(f48(x5461,x5462,f69(x5463,a1)),x5461) % 1.58/1.66 [547]P7(x5471,x5472,f69(x5473,a1))+~E(f48(x5471,x5472,f69(x5473,a1)),x5472) % 1.58/1.66 [549]~P1(x5493)+E(f30(x5491,f30(x5491,x5492,x5493),x5493),f30(x5491,x5492,x5493)) % 1.58/1.66 [550]~P2(x5503)+E(f30(x5501,f30(x5501,x5502,x5503),x5503),f30(x5501,x5502,x5503)) % 1.58/1.66 [551]~P2(x5513)+E(f48(x5511,f48(x5511,x5512,x5513),x5513),f48(x5511,x5512,x5513)) % 1.58/1.66 [552]~P16(x5523)+E(f48(x5521,f48(x5521,x5522,x5523),x5523),f48(x5521,x5522,x5523)) % 1.58/1.66 [553]~P10(x5531,x5532,x5533)+E(f27(f35(x5531,x5532,x5533),f69(x5533,a1)),x5531) % 1.58/1.66 [558]E(f31(x5581,x5582,f69(x5583,a1)),x5581)+~E(f30(x5581,x5582,f69(x5583,a1)),f49(f69(x5583,a1))) % 1.58/1.66 [592]~P7(x5921,x5922,f69(x5923,a1))+E(f48(x5921,f31(x5922,x5921,f69(x5923,a1)),f69(x5923,a1)),x5922) % 1.58/1.66 [621]~P7(x6212,x6213,f69(x6211,a1))+P24(f25(f25(f65(f69(x6211,a1)),x6212),f26(x6213,x6211))) % 1.58/1.66 [629]~E(f30(f6(x6293,x6291,x6292),x6293,f69(x6292,a1)),f49(f69(x6292,a1)))+E(f30(f27(x6291,f69(x6292,a1)),x6293,f69(x6292,a1)),f49(f69(x6292,a1))) % 1.58/1.66 [648]P7(x6481,x6482,f69(x6483,a1))+~P24(f25(f25(f65(f69(x6483,a1)),x6481),f26(x6482,x6483))) % 1.58/1.66 [769]E(x7691,x7692)+P24(f25(f25(f65(f71(a66,a66)),f54(x7691,x7692,a66,a66)),f21(x7693,x7691))) % 1.58/1.66 [770]E(x7701,x7702)+P24(f25(f25(f65(f71(a66,a66)),f54(x7701,x7702,a66,a66)),f24(x7703,x7702))) % 1.58/1.66 [811]E(x8111,x8112)+~E(f48(f25(f3(f62(x8113),x8113,x8113,a1),x8111),f49(f69(x8113,a1)),f69(x8113,a1)),f48(f25(f3(f62(x8113),x8113,x8113,a1),x8112),f49(f69(x8113,a1)),f69(x8113,a1))) % 1.58/1.66 [520]~P24(f25(x5203,x5202))+P24(f25(f25(f65(x5201),x5202),x5203)) % 1.58/1.66 [531]E(x5311,x5312)+~P24(f25(f25(f62(x5313),x5311),x5312)) % 1.58/1.66 [540]P24(f25(x5401,x5402))+~P24(f25(f25(f65(x5403),x5402),x5401)) % 1.58/1.66 [662]P24(f25(f25(f65(x6621),x6622),f7(x6622,x6623,x6621)))+~P24(f25(f25(f65(x6621),x6622),f27(x6623,f69(x6621,a1)))) % 1.58/1.66 [671]~P24(f25(f25(f65(x6711),x6712),f8(x6712,x6713,x6711)))+P24(f25(f25(f65(x6711),x6712),f29(x6713,f69(x6711,a1)))) % 1.58/1.66 [692]E(f30(f27(x6921,f69(x6922,a1)),x6923,f69(x6922,a1)),f49(f69(x6922,a1)))+P24(f25(f25(f65(f69(x6922,a1)),f6(x6923,x6921,x6922)),x6921)) % 1.58/1.66 [698]P24(f25(f25(f65(f69(x6981,a1)),f8(x6982,x6983,x6981)),x6983))+P24(f25(f25(f65(x6981),x6982),f29(x6983,f69(x6981,a1)))) % 1.58/1.66 [705]~P24(f25(f25(f65(x7051),x7052),f27(x7053,f69(x7051,a1))))+P24(f25(f25(f65(f69(x7051,a1)),f7(x7052,x7053,x7051)),x7053)) % 1.58/1.66 [717]E(f48(f25(f3(f62(x7171),x7171,x7171,a1),x7172),x7173,f69(x7171,a1)),x7173)+~P24(f25(f25(f65(x7171),x7172),x7173)) % 1.58/1.66 [742]E(x7421,x7422)+~E(f25(f3(f65(x7423),x7423,f69(x7423,a1),a1),x7421),f25(f3(f65(x7423),x7423,f69(x7423,a1),a1),x7422)) % 1.58/1.66 [774]~P4(x7741)+E(f27(f48(f25(f3(f62(x7741),x7741,x7741,a1),x7742),x7743,f69(x7741,a1)),x7741),f48(x7742,f27(x7743,x7741),x7741)) % 1.58/1.66 [775]~P4(x7751)+E(f29(f48(f25(f3(f62(x7751),x7751,x7751,a1),x7752),x7753,f69(x7751,a1)),x7751),f30(x7752,f29(x7753,x7751),x7751)) % 1.58/1.66 [782]~P7(x7822,x7823,f69(x7821,a1))+P7(f25(f3(f65(x7821),x7821,f69(x7821,a1),a1),x7822),f25(f3(f65(x7821),x7821,f69(x7821,a1),a1),x7823),f69(x7821,a1)) % 1.58/1.66 [820]P7(x8201,x8202,f69(x8203,a1))+~P7(f25(f3(f65(x8203),x8203,f69(x8203,a1),a1),x8201),f25(f3(f65(x8203),x8203,f69(x8203,a1),a1),x8202),f69(x8203,a1)) % 1.58/1.66 [837]E(f31(f48(f25(f3(f62(x8371),x8371,x8371,a1),x8372),x8373,f69(x8371,a1)),f48(f25(f3(f62(x8371),x8371,x8371,a1),x8372),f49(f69(x8371,a1)),f69(x8371,a1)),f69(x8371,a1)),x8373)+P24(f25(f25(f65(x8371),x8372),x8373)) % 1.58/1.66 [860]E(f48(f25(f3(f62(x8601),x8601,x8601,a1),x8602),f31(x8603,f48(f25(f3(f62(x8601),x8601,x8601,a1),x8602),f49(f69(x8601,a1)),f69(x8601,a1)),f69(x8601,a1)),f69(x8601,a1)),x8603)+~P24(f25(f25(f65(x8601),x8602),x8603)) % 1.58/1.66 [876]~P4(x8761)+E(f27(f48(f25(f3(f62(x8761),x8761,x8761,a1),x8762),f48(f25(f3(f62(x8761),x8761,x8761,a1),x8763),f49(f69(x8761,a1)),f69(x8761,a1)),f69(x8761,a1)),x8761),f48(x8762,x8763,x8761)) % 1.58/1.66 [877]~P4(x8771)+E(f29(f48(f25(f3(f62(x8771),x8771,x8771,a1),x8772),f48(f25(f3(f62(x8771),x8771,x8771,a1),x8773),f49(f69(x8771,a1)),f69(x8771,a1)),f69(x8771,a1)),x8771),f30(x8772,x8773,x8771)) % 1.58/1.66 [887]E(x8871,x8872)+~P24(f25(f25(f65(x8873),x8871),f48(f25(f3(f62(x8873),x8873,x8873,a1),x8872),f49(f69(x8873,a1)),f69(x8873,a1)))) % 1.58/1.66 [646]P7(x6461,f27(x6462,f69(x6463,a1)),f69(x6463,a1))+~P24(f25(f25(f65(f69(x6463,a1)),x6461),x6462)) % 1.58/1.66 [647]P7(f29(x6471,f69(x6472,a1)),x6473,f69(x6472,a1))+~P24(f25(f25(f65(f69(x6472,a1)),x6473),x6471)) % 1.58/1.66 [706]~P8(x7061,x7062,x7063,x7064)+P8(f33(x7061,x7062,x7063,x7064),x7062,x7063,x7064) % 1.58/1.66 [727]P8(x7271,x7272,x7273,x7274)+~P8(f33(x7271,x7272,x7273,x7274),x7272,x7273,x7274) % 1.58/1.66 [762]~P8(x7621,x7622,x7623,x7624)+P12(x7621,x7622,f63(x7621,x7622,x7623,x7624),x7623,x7624) % 1.58/1.66 [578]~P1(x5784)+E(f30(x5781,f30(x5782,x5783,x5784),x5784),f30(x5782,f30(x5781,x5783,x5784),x5784)) % 1.58/1.66 [579]~P2(x5794)+E(f30(x5791,f30(x5792,x5793,x5794),x5794),f30(x5792,f30(x5791,x5793,x5794),x5794)) % 1.58/1.66 [580]~P2(x5804)+E(f48(x5801,f48(x5802,x5803,x5804),x5804),f48(x5802,f48(x5801,x5803,x5804),x5804)) % 1.58/1.66 [581]~P16(x5814)+E(f48(x5811,f48(x5812,x5813,x5814),x5814),f48(x5812,f48(x5811,x5813,x5814),x5814)) % 1.58/1.66 [582]~P1(x5823)+E(f30(f30(x5821,x5822,x5823),x5824,x5823),f30(x5821,f30(x5822,x5824,x5823),x5823)) % 1.58/1.66 [583]~P2(x5833)+E(f30(f30(x5831,x5832,x5833),x5834,x5833),f30(x5831,f30(x5832,x5834,x5833),x5833)) % 1.58/1.66 [584]~P2(x5843)+E(f48(f48(x5841,x5842,x5843),x5844,x5843),f48(x5841,f48(x5842,x5844,x5843),x5843)) % 1.58/1.66 [585]~P16(x5853)+E(f48(f48(x5851,x5852,x5853),x5854,x5853),f48(x5851,f48(x5852,x5854,x5853),x5853)) % 1.58/1.66 [603]~P15(x6033)+E(f48(f30(x6031,x6032,x6033),f30(x6031,x6034,x6033),x6033),f30(x6031,f48(x6032,x6034,x6033),x6033)) % 1.58/1.66 [604]~P15(x6043)+E(f30(f48(x6041,x6042,x6043),f48(x6041,x6044,x6043),x6043),f48(x6041,f30(x6042,x6044,x6043),x6043)) % 1.58/1.66 [605]~P15(x6053)+E(f48(f30(x6051,x6052,x6053),f30(x6054,x6052,x6053),x6053),f30(f48(x6051,x6054,x6053),x6052,x6053)) % 1.58/1.66 [606]~P15(x6063)+E(f30(f48(x6061,x6062,x6063),f48(x6064,x6062,x6063),x6063),f48(f30(x6061,x6064,x6063),x6062,x6063)) % 1.58/1.66 [607]P7(x6071,x6072,f69(x6073,a1))+~P7(x6071,f30(x6074,x6072,f69(x6073,a1)),f69(x6073,a1)) % 1.58/1.66 [608]P7(x6081,x6082,f69(x6083,a1))+~P7(x6081,f30(x6082,x6084,f69(x6083,a1)),f69(x6083,a1)) % 1.58/1.66 [609]P7(x6091,x6092,f69(x6093,a1))+~P7(f48(x6094,x6091,f69(x6093,a1)),x6092,f69(x6093,a1)) % 1.58/1.66 [610]P7(x6101,x6102,f69(x6103,a1))+~P7(f48(x6101,x6104,f69(x6103,a1)),x6102,f69(x6103,a1)) % 1.58/1.66 [611]~P24(f25(f25(x6113,x6112),x6114))+P24(f25(f25(f65(x6111),x6112),f56(x6113,x6114,x6111))) % 1.58/1.66 [612]~P24(f25(f25(x6123,x6124),x6122))+P24(f25(f25(f65(x6121),x6122),f59(x6123,x6124,x6121))) % 1.58/1.66 [613]~P24(f25(f25(x6133,x6132),x6134))+P24(f25(f25(f65(x6131),x6132),f60(x6133,x6134,x6131))) % 1.58/1.66 [614]E(f32(x6141,f28(x6143,f69(x6144,a1),x6142),x6142,f69(x6144,a1)),x6143)+E(x6141,f49(f69(x6142,a1))) % 1.58/1.66 [616]~E(f63(x6163,x6161,x6162,x6164),f49(f69(x6164,a1)))+E(x6161,f49(f69(x6162,a1))) % 1.58/1.66 [638]~P7(x6384,x6381,f69(x6383,a1))+E(f48(f30(x6381,x6382,f69(x6383,a1)),x6384,f69(x6383,a1)),f30(x6381,f48(x6382,x6384,f69(x6383,a1)),f69(x6383,a1))) % 1.58/1.66 [639]~P24(f25(f25(f65(x6394),x6393),f59(x6391,x6392,x6394)))+P24(f25(f25(x6391,x6392),x6393)) % 1.58/1.66 [640]~P24(f25(f25(f65(x6404),x6402),f56(x6401,x6403,x6404)))+P24(f25(f25(x6401,x6402),x6403)) % 1.58/1.66 [641]~P24(f25(f25(f65(x6414),x6412),f60(x6411,x6413,x6414)))+P24(f25(f25(x6411,x6412),x6413)) % 1.58/1.66 [643]~P7(f31(x6431,x6432,f69(x6434,a1)),x6433,f69(x6434,a1))+P7(x6431,f48(x6432,x6433,f69(x6434,a1)),f69(x6434,a1)) % 1.58/1.66 [644]~P7(x6441,f48(x6442,x6444,f69(x6443,a1)),f69(x6443,a1))+P7(f31(x6441,x6442,f69(x6443,a1)),x6444,f69(x6443,a1)) % 1.58/1.66 [684]P7(x6841,x6842,f69(x6843,a1))+~E(f48(f30(x6842,x6844,f69(x6843,a1)),x6841,f69(x6843,a1)),f30(x6842,f48(x6844,x6841,f69(x6843,a1)),f69(x6843,a1))) % 1.58/1.66 [693]~P2(x6934)+P7(f48(x6931,f30(x6932,x6933,x6934),x6934),f30(f48(x6931,x6932,x6934),f48(x6931,x6933,x6934),x6934),x6934) % 1.58/1.66 [694]~P2(x6943)+P7(f48(f30(x6941,x6942,x6943),f30(x6941,x6944,x6943),x6943),f30(x6941,f48(x6942,x6944,x6943),x6943),x6943) % 1.58/1.66 [704]~P8(x7042,f51(f69(x7041,a1)),x7041,x7043)+E(f25(f45(f51(f69(x7041,a1)),x7042,x7041,x7043),f25(x7042,x7044)),x7044) % 1.58/1.66 [711]~P8(x7111,f51(f69(x7113,a1)),x7113,x7114)+E(f64(x7111,f63(x7111,x7112,x7113,x7114),x7113,x7114),x7112) % 1.58/1.66 [732]E(f63(f28(x7323,x7324,x7322),x7321,x7322,x7324),f48(f25(f3(f62(x7324),x7324,x7324,a1),x7323),f49(f69(x7324,a1)),f69(x7324,a1)))+E(x7321,f49(f69(x7322,a1))) % 1.58/1.66 [749]~P8(x7492,f51(f69(x7491,a1)),x7491,x7493)+E(f63(f45(f51(f69(x7491,a1)),x7492,x7491,x7493),f63(x7492,x7494,x7491,x7493),x7493,x7491),x7494) % 1.58/1.66 [779]~P7(x7791,x7794,f69(x7792,a1))+P7(x7791,f48(f25(f3(f62(x7792),x7792,x7792,a1),x7793),x7794,f69(x7792,a1)),f69(x7792,a1)) % 1.58/1.66 [834]~P7(x8343,x8344,f69(x8341,a1))+P7(f48(f25(f3(f62(x8341),x8341,x8341,a1),x8342),x8343,f69(x8341,a1)),f48(f25(f3(f62(x8341),x8341,x8341,a1),x8342),x8344,f69(x8341,a1)),f69(x8341,a1)) % 1.58/1.66 [595]~P24(f25(x5952,x5954))+P24(f25(f48(x5951,x5952,f69(x5953,a1)),x5954)) % 1.58/1.66 [596]~P24(f25(x5961,x5964))+P24(f25(f48(x5961,x5962,f69(x5963,a1)),x5964)) % 1.58/1.66 [627]E(f64(f28(x6271,x6272,x6273),x6274,x6273,x6272),f49(f69(x6273,a1)))+P24(f25(f25(f65(x6272),x6271),x6274)) % 1.58/1.66 [632]E(f64(f28(x6321,x6322,x6323),x6324,x6323,x6322),f51(f69(x6323,a1)))+~P24(f25(f25(f65(x6322),x6321),x6324)) % 1.58/1.66 [633]P24(f25(x6331,x6332))+~P24(f25(f30(x6333,x6331,f69(x6334,a1)),x6332)) % 1.58/1.66 [634]P24(f25(x6341,x6342))+~P24(f25(f30(x6341,x6343,f69(x6344,a1)),x6342)) % 1.58/1.66 [635]~P24(f25(f25(f65(x6351),x6352),x6354))+P24(f25(f25(f65(x6351),x6352),f48(x6353,x6354,f69(x6351,a1)))) % 1.58/1.66 [636]~P24(f25(f25(f65(x6361),x6362),x6363))+P24(f25(f25(f65(x6361),x6362),f48(x6363,x6364,f69(x6361,a1)))) % 1.58/1.66 [657]P24(f25(x6571,x6572))+~P24(f25(f25(f65(x6573),x6572),f30(x6574,x6571,f69(x6573,a1)))) % 1.58/1.66 [672]P24(f25(f25(f65(x6721),x6722),x6723))+~P24(f25(f25(f65(x6721),x6722),f30(x6724,x6723,f69(x6721,a1)))) % 1.58/1.66 [674]P24(f25(f25(f65(x6741),x6742),x6743))+~P24(f25(f25(f65(x6741),x6742),f30(x6743,x6744,f69(x6741,a1)))) % 1.58/1.66 [675]P24(f25(f25(f65(x6751),x6752),x6753))+~P24(f25(f25(f65(x6751),x6752),f31(x6753,x6754,f69(x6751,a1)))) % 1.58/1.66 [686]~P24(f25(f25(f65(x6861),x6862),x6863))+~P24(f25(f25(f65(x6861),x6862),f31(x6864,x6863,f69(x6861,a1)))) % 1.58/1.66 [786]E(f30(x7861,f48(f25(f3(f62(x7862),x7862,x7862,a1),x7863),x7864,f69(x7862,a1)),f69(x7862,a1)),f30(x7861,x7864,f69(x7862,a1)))+P24(f25(f25(f65(x7862),x7863),x7861)) % 1.58/1.66 [787]E(f30(f48(f25(f3(f62(x7871),x7871,x7871,a1),x7872),x7873,f69(x7871,a1)),x7874,f69(x7871,a1)),f30(x7873,x7874,f69(x7871,a1)))+P24(f25(f25(f65(x7871),x7872),x7874)) % 1.58/1.66 [790]E(f31(f48(f25(f3(f62(x7901),x7901,x7901,a1),x7902),x7903,f69(x7901,a1)),x7904,f69(x7901,a1)),f31(x7903,x7904,f69(x7901,a1)))+~P24(f25(f25(f65(x7901),x7902),x7904)) % 1.58/1.66 [795]~P24(f25(f25(f65(f69(x7951,a1)),x7953),f35(x7952,x7954,x7951)))+P24(f25(f25(f65(x7951),f50(x7952,x7953,x7954,x7951)),x7952)) % 1.58/1.66 [812]E(f31(f48(f25(f3(f62(x8121),x8121,x8121,a1),x8122),x8123,f69(x8121,a1)),x8124,f69(x8121,a1)),f48(f25(f3(f62(x8121),x8121,x8121,a1),x8122),f31(x8123,x8124,f69(x8121,a1)),f69(x8121,a1)))+P24(f25(f25(f65(x8121),x8122),x8124)) % 1.58/1.66 [817]~P7(f48(f25(f3(f62(x8171),x8171,x8171,a1),x8172),x8174,f69(x8171,a1)),x8173,f69(x8171,a1))+P24(f25(f25(f65(x8171),x8172),x8173)) % 1.58/1.66 [818]E(f48(f25(f3(f62(x8181),x8181,x8181,a1),x8182),f30(x8183,x8184,f69(x8181,a1)),f69(x8181,a1)),f30(x8183,f48(f25(f3(f62(x8181),x8181,x8181,a1),x8182),x8184,f69(x8181,a1)),f69(x8181,a1)))+~P24(f25(f25(f65(x8181),x8182),x8183)) % 1.58/1.66 [819]E(f48(f25(f3(f62(x8191),x8191,x8191,a1),x8192),f30(x8193,x8194,f69(x8191,a1)),f69(x8191,a1)),f30(f48(f25(f3(f62(x8191),x8191,x8191,a1),x8192),x8193,f69(x8191,a1)),x8194,f69(x8191,a1)))+~P24(f25(f25(f65(x8191),x8192),x8194)) % 1.58/1.66 [848]E(f53(x8481,f48(f25(f3(f62(x8482),x8482,x8482,a1),f50(x8483,x8484,x8481,x8482)),f49(f69(x8482,a1)),f69(x8482,a1)),x8482,x8482),x8484)+~P24(f25(f25(f65(f69(x8482,a1)),x8484),f35(x8483,x8481,x8482))) % 1.58/1.66 [850]E(f36(x8501,f31(x8502,f48(f25(f3(f62(x8503),x8503,x8503,a1),x8504),f49(f69(x8503,a1)),f69(x8503,a1)),f69(x8503,a1)),x8503,a68),f36(x8501,x8502,x8503,a68))+P24(f25(f25(f65(x8503),x8504),x8502)) % 1.58/1.66 [944]P24(f25(f25(f65(f69(x9441,a1)),f53(x9442,f48(f25(f3(f62(x9441),x9441,x9441,a1),x9443),f49(f69(x9441,a1)),f69(x9441,a1)),x9441,x9441)),f35(x9444,x9442,x9441)))+~P24(f25(f25(f65(x9441),x9443),x9444)) % 1.58/1.66 [765]P8(x7651,x7652,x7653,x7654)+~P12(x7651,x7652,x7655,x7653,x7654) % 1.58/1.66 [709]~P7(x7092,x7095,f69(x7093,a1))+P7(f63(x7091,x7092,x7093,x7094),f63(x7091,x7095,x7093,x7094),f69(x7094,a1)) % 1.58/1.66 [710]~P7(x7102,x7105,f69(x7104,a1))+P7(f64(x7101,x7102,x7103,x7104),f64(x7101,x7105,x7103,x7104),f69(x7103,a1)) % 1.58/1.66 [735]P8(f45(x7351,x7352,x7353,x7354),x7355,x7354,x7353)+~P7(x7355,f63(x7352,x7351,x7353,x7354),f69(x7354,a1)) % 1.58/1.66 [752]~E(f34(x7521,x7522,x7523,x7524,x7525),x7521)+E(f25(x7521,x7522),x7523) % 1.58/1.66 [766]~P12(x7661,x7662,x7665,x7663,x7664)+E(f63(x7661,x7662,x7663,x7664),x7665) % 1.58/1.66 [809]~P12(x8092,x8091,x8095,x8093,x8094)+P12(f45(x8091,x8092,x8093,x8094),x8095,x8091,x8094,x8093) % 1.58/1.66 [810]~P12(x8101,x8102,x8105,x8103,x8104)+P12(f33(x8101,x8102,x8103,x8104),x8102,x8105,x8103,x8104) % 1.58/1.66 [829]P12(x8291,x8292,x8293,x8294,x8295)+~P12(f33(x8291,x8292,x8294,x8295),x8292,x8293,x8294,x8295) % 1.58/1.66 [683]~P8(x6831,x6832,x6834,x6835)+P8(x6831,f31(x6832,x6833,f69(x6834,a1)),x6834,x6835) % 1.58/1.66 [690]P8(x6901,x6902,x6903,x6904)+~P8(x6901,f48(x6905,x6902,f69(x6903,a1)),x6903,x6904) % 1.58/1.66 [691]P8(x6911,x6912,x6913,x6914)+~P8(x6911,f48(x6912,x6915,f69(x6913,a1)),x6913,x6914) % 1.58/1.66 [707]~P24(f25(x7072,f25(x7071,x7075)))+P24(f25(f64(x7071,x7072,x7073,x7074),x7075)) % 1.58/1.66 [739]P24(f25(x7391,f25(x7392,x7393)))+~P24(f25(f64(x7392,x7391,x7394,x7395),x7393)) % 1.58/1.66 [744]~P24(f25(f25(f65(x7444),x7443),f57(x7441,x7442,x7445,x7444)))+P24(f25(f25(x7441,x7442),x7443)) % 1.58/1.66 [745]~P24(f25(f25(f65(x7454),x7453),f61(x7451,x7452,x7455,x7454)))+P24(f25(f25(x7451,x7452),x7453)) % 1.58/1.66 [746]~P24(f25(f25(f65(x7464),x7462),f57(x7461,x7465,x7463,x7464)))+P24(f25(f25(x7461,x7462),x7463)) % 1.58/1.66 [747]~P24(f25(f25(f65(x7474),x7472),f61(x7471,x7475,x7473,x7474)))+P24(f25(f25(x7471,x7472),x7473)) % 1.58/1.66 [776]~P8(x7761,f48(x7762,x7763,f69(x7764,a1)),x7764,x7765)+E(f30(f63(x7761,f31(x7762,x7763,f69(x7764,a1)),x7764,x7765),f63(x7761,f31(x7763,x7762,f69(x7764,a1)),x7764,x7765),f69(x7765,a1)),f49(f69(x7765,a1))) % 1.58/1.66 [904]E(x9041,x9042)+~P9(x9043,x9042,f49(f69(x9044,a1)),x9041,x9044,x9045) % 1.58/1.66 [649]E(f25(f33(x6491,x6492,x6493,x6494),x6495),f46(x6494))+P24(f25(f25(f65(x6493),x6495),x6492)) % 1.58/1.66 [660]E(f25(f33(x6601,x6602,x6603,x6604),x6605),f25(x6601,x6605))+~P24(f25(f25(f65(x6603),x6605),x6602)) % 1.58/1.66 [685]P7(f25(x6851,x6852),f32(x6853,x6851,x6854,f69(x6855,a1)),f69(x6855,a1))+~P24(f25(f25(f65(x6854),x6852),x6853)) % 1.58/1.66 [700]E(f48(f25(x7001,x7002),f32(x7003,x7001,x7004,f69(x7005,a1)),f69(x7005,a1)),f32(x7003,x7001,x7004,f69(x7005,a1)))+~P24(f25(f25(f65(x7004),x7002),x7003)) % 1.58/1.66 [723]P24(f25(f25(f65(x7231),f25(x7232,x7233)),f63(x7232,x7234,x7235,x7231)))+~P24(f25(f25(f65(x7235),x7233),x7234)) % 1.58/1.66 [730]P24(f25(f25(f65(x7301),x7302),f64(x7303,x7304,x7301,x7305)))+~P24(f25(f25(f65(x7305),f25(x7303,x7302)),x7304)) % 1.58/1.66 [740]E(f63(f28(x7401,x7402,x7403),x7404,x7403,x7402),f48(f25(f3(f62(x7402),x7402,x7402,a1),x7401),f49(f69(x7402,a1)),f69(x7402,a1)))+~P24(f25(f25(f65(x7403),x7405),x7404)) % 1.58/1.66 [754]~P24(f25(f25(f65(x7545),x7543),f64(x7542,x7544,x7545,x7541)))+P24(f25(f25(f65(x7541),f25(x7542,x7543)),x7544)) % 1.58/1.66 [755]~P8(x7551,f51(f69(x7553,a1)),x7553,x7554)+E(f30(f63(x7551,x7552,x7553,x7554),f63(x7551,x7555,x7553,x7554),f69(x7554,a1)),f63(x7551,f30(x7552,x7555,f69(x7553,a1)),x7553,x7554)) % 1.58/1.66 [756]~P8(x7561,f51(f69(x7563,a1)),x7563,x7564)+E(f31(f63(x7561,x7562,x7563,x7564),f63(x7561,x7565,x7563,x7564),f69(x7564,a1)),f63(x7561,f31(x7562,x7565,f69(x7563,a1)),x7563,x7564)) % 1.58/1.66 [761]E(f48(f25(f3(f62(x7611),x7611,x7611,a1),f25(x7612,x7613)),f63(x7612,x7614,x7615,x7611),f69(x7611,a1)),f63(x7612,x7614,x7615,x7611))+~P24(f25(f25(f65(x7615),x7613),x7614)) % 1.58/1.66 [794]E(f25(x7941,f25(f45(x7942,x7941,x7943,x7944),x7945)),x7945)+~P24(f25(f25(f65(x7944),x7945),f63(x7941,x7942,x7943,x7944))) % 1.58/1.66 [862]P24(f25(f25(f65(f71(x8621,x8622)),f54(x8623,x8624,x8621,x8622)),f52(x8625,x8622,x8621)))+~P24(f25(f25(f65(f71(x8622,x8621)),f54(x8624,x8623,x8622,x8621)),x8625)) % 1.58/1.66 [863]~P24(f25(f25(f65(f71(x8632,x8631)),f54(x8634,x8633,x8632,x8631)),f52(x8635,x8631,x8632)))+P24(f25(f25(f65(f71(x8631,x8632)),f54(x8633,x8634,x8631,x8632)),x8635)) % 1.58/1.66 [924]P24(f25(f25(f65(f69(x9241,x9245)),x9244),f37(x9242,x9243,x9241,x9245)))+P24(f25(f25(f65(x9241),f40(x9242,x9243,x9244,x9241,x9245)),x9242)) % 1.58/1.66 [925]P24(f25(f25(f65(f69(x9251,x9255)),x9254),f37(x9252,x9253,x9251,x9255)))+P24(f25(f25(f65(x9251),f41(x9252,x9253,x9254,x9251,x9255)),x9252)) % 1.58/1.66 [929]P24(f25(f25(f65(f69(x9291,x9295)),f33(x9294,x9292,x9291,x9295)),f37(x9292,x9293,x9291,x9295)))+P24(f25(f25(f65(x9291),f43(x9292,x9293,x9294,x9291,x9295)),x9292)) % 1.58/1.66 [958]P24(f25(f25(f65(f69(x9581,x9582)),x9583),f37(x9584,x9585,x9581,x9582)))+~P24(f25(f25(f65(x9582),f25(x9583,f40(x9584,x9585,x9583,x9581,x9582))),f25(x9585,f40(x9584,x9585,x9583,x9581,x9582)))) % 1.58/1.66 [959]P24(f25(f25(f65(f69(x9591,x9592)),x9593),f37(x9594,x9595,x9591,x9592)))+~P24(f25(f25(f65(x9592),f25(x9593,f41(x9594,x9595,x9593,x9591,x9592))),f25(x9595,f41(x9594,x9595,x9593,x9591,x9592)))) % 1.58/1.66 [962]P24(f25(f25(f65(f69(x9621,x9622)),f33(x9623,x9624,x9621,x9622)),f37(x9624,x9625,x9621,x9622)))+~P24(f25(f25(f65(x9622),f25(x9623,f43(x9624,x9625,x9623,x9621,x9622))),f25(x9625,f43(x9624,x9625,x9623,x9621,x9622)))) % 1.58/1.66 [808]P7(f63(x8081,x8082,x8083,x8084),x8085,f69(x8084,a1))+~P24(f25(f25(f65(f69(x8083,x8084)),x8081),f37(x8082,f28(x8085,f69(x8084,a1),x8083),x8083,x8084))) % 1.58/1.66 [826]~P12(x8263,x8264,x8265,x8261,x8262)+P24(f25(f25(f65(f69(x8261,x8262)),x8263),f37(x8264,f28(x8265,f69(x8262,a1),x8261),x8261,x8262))) % 1.58/1.66 [859]~P24(f25(f25(f65(x8594),x8595),f63(x8593,x8592,x8591,x8594)))+P24(f25(f25(f65(x8591),f25(f45(x8592,x8593,x8591,x8594),x8595)),x8592)) % 1.58/1.66 [891]~P12(x8912,x8911,x8915,x8913,x8914)+E(f33(f19(f33(f45(x8911,x8912,x8913,x8914),x8915,x8914,x8913),x8912,x8914,x8913,x8913),x8911,x8913,x8913),f33(f2(x8913),x8911,x8913,x8913)) % 1.58/1.66 [928]P24(f25(f25(f65(x9281),f42(x9282,x9283,x9284,x9281,x9285)),x9282))+P24(f25(f25(f65(f69(x9281,x9285)),x9284),f37(x9282,f28(x9283,f69(x9285,a1),x9281),x9281,x9285))) % 1.58/1.66 [930]P24(f25(f25(f65(x9301),f44(x9302,x9303,x9304,x9301,x9305)),x9302))+P24(f25(f25(f65(f69(x9301,x9305)),f33(x9304,x9302,x9301,x9305)),f37(x9302,f28(x9303,f69(x9305,a1),x9301),x9301,x9305))) % 1.58/1.66 [933]~P24(f25(f25(f65(f71(x9334,x9331)),f54(x9335,x9332,x9334,x9331)),x9333))+P24(f25(f25(f65(x9331),x9332),f53(x9333,f48(f25(f3(f62(x9334),x9334,x9334,a1),x9335),f49(f69(x9334,a1)),f69(x9334,a1)),x9334,x9331))) % 1.58/1.66 [936]E(f25(x9361,x9362),x9363)+~P24(f25(f25(f65(x9364),x9362),f64(x9361,f48(f25(f3(f62(x9365),x9365,x9365,a1),x9363),f49(f69(x9365,a1)),f69(x9365,a1)),x9364,x9365))) % 1.58/1.66 [942]P24(f25(f25(f65(f71(x9421,x9422)),f54(x9423,x9424,x9421,x9422)),x9425))+~P24(f25(f25(f65(x9422),x9424),f53(x9425,f48(f25(f3(f62(x9421),x9421,x9421,a1),x9423),f49(f69(x9421,a1)),f69(x9421,a1)),x9421,x9422))) % 1.58/1.66 [952]~P24(f25(f25(f65(x9522),f25(x9523,f42(x9524,x9525,x9523,x9521,x9522))),x9525))+P24(f25(f25(f65(f69(x9521,x9522)),x9523),f37(x9524,f28(x9525,f69(x9522,a1),x9521),x9521,x9522))) % 1.58/1.66 [955]~P24(f25(f25(f65(x9552),f25(x9553,f44(x9554,x9555,x9553,x9551,x9552))),x9555))+P24(f25(f25(f65(f69(x9551,x9552)),f33(x9553,x9554,x9551,x9552)),f37(x9554,f28(x9555,f69(x9552,a1),x9551),x9551,x9552))) % 1.58/1.66 [957]~P8(x9571,f48(f25(f3(f62(x9572),x9572,x9572,a1),x9573),x9574,f69(x9572,a1)),x9572,x9575)+~P24(f25(f25(f65(x9575),f25(x9571,x9573)),f63(x9571,f31(x9574,f48(f25(f3(f62(x9572),x9572,x9572,a1),x9573),f49(f69(x9572,a1)),f69(x9572,a1)),f69(x9572,a1)),x9572,x9575))) % 1.58/1.66 [681]E(x6811,x6812)+~E(f54(x6813,x6811,x6814,x6815),f54(x6816,x6812,x6814,x6815)) % 1.58/1.66 [682]E(x6821,x6822)+~E(f54(x6821,x6823,x6824,x6825),f54(x6822,x6826,x6824,x6825)) % 1.58/1.66 [781]E(x7811,x7812)+E(f25(f34(x7813,x7811,x7814,x7815,x7816),x7812),f25(x7813,x7812)) % 1.58/1.66 [846]~P24(f25(f25(f65(f71(x8465,x8461)),f54(x8464,x8462,x8465,x8461)),f55(x8466,x8463,x8465,x8461)))+P24(f25(f25(f65(x8461),x8462),f25(x8463,x8464))) % 1.58/1.66 [892]~P24(f25(f25(f65(x8924),x8923),f58(x8921,x8925,x8922,x8926,x8924)))+P24(f25(f25(x8921,x8922),x8923)) % 1.58/1.66 [893]~P24(f25(f25(f65(x8934),x8932),f58(x8935,x8931,x8936,x8933,x8934)))+P24(f25(f25(x8931,x8932),x8933)) % 1.58/1.66 [797]E(f63(f34(x7971,x7972,x7973,x7974,x7975),x7976,x7974,x7975),f63(x7971,x7976,x7974,x7975))+P24(f25(f25(f65(x7974),x7972),x7976)) % 1.58/1.66 [845]~P24(f25(f25(f65(f71(x8451,x8454)),f54(x8452,x8455,x8451,x8454)),f55(x8453,x8456,x8451,x8454)))+P24(f25(f25(f65(x8451),x8452),x8453)) % 1.58/1.66 [934]E(f48(f25(f3(f62(x9341),x9341,x9341,a1),x9342),f63(x9343,f31(x9344,f48(f25(f3(f62(x9345),x9345,x9345,a1),x9346),f49(f69(x9345,a1)),f69(x9345,a1)),f69(x9345,a1)),x9345,x9341),f69(x9341,a1)),f63(f34(x9343,x9346,x9342,x9345,x9341),x9344,x9345,x9341))+~P24(f25(f25(f65(x9345),x9346),x9344)) % 1.58/1.66 [699]~P13(x6991,x6993,x6995,x6996)+E(f25(f25(x6991,f28(f25(x6992,f25(x6993,x6994)),x6995,x6995)),x6994),f25(f25(x6991,x6992),x6994)) % 1.58/1.66 [885]E(x8851,x8852)+E(f34(f34(x8853,x8851,x8854,x8855,x8856),x8852,x8857,x8855,x8856),f34(f34(x8853,x8852,x8857,x8855,x8856),x8851,x8854,x8855,x8856)) % 1.58/1.66 [851]E(f25(f33(f19(x8511,x8512,x8513,x8514,x8515),x8516,x8515,x8514),x8517),f25(x8511,f25(x8512,x8517)))+~P24(f25(f25(f65(x8515),x8517),x8516)) % 1.58/1.66 [986]~P11(x9862,x9861,x9863,x9865,x9867,x9866,x9869,x9868,x9864)+P11(x9861,x9862,f3(x9863,x9864,x9864,a1),f3(x9865,x9864,x9864,a1),x9866,x9867,x9868,x9869,x9864) % 1.58/1.66 [974]~P11(x9744,x9741,x9745,x9746,x9747,x9748,x9743,x9749,x9742)+E(f25(x9741,f49(f69(x9742,a1))),x9743) % 1.58/1.66 [975]~P11(x9751,x9754,x9755,x9756,x9757,x9758,x9759,x9753,x9752)+E(f25(x9751,f49(f69(x9752,a1))),x9753) % 1.58/1.66 [976]~P11(x9764,x9761,x9765,x9766,x9767,x9768,x9769,x9763,x9762)+E(f25(x9761,f51(f69(x9762,a1))),x9763) % 1.58/1.66 [977]~P11(x9771,x9774,x9775,x9776,x9777,x9778,x9773,x9779,x9772)+E(f25(x9771,f51(f69(x9772,a1))),x9773) % 1.58/1.66 [982]~P11(x9824,x9821,x9825,x9826,x9827,x9828,x9829,x98210,x9822)+E(f25(x9821,f48(f25(f3(f62(x9822),x9822,x9822,a1),x9823),f49(f69(x9822,a1)),f69(x9822,a1))),x9823) % 1.58/1.66 [983]~P11(x9831,x9834,x9835,x9836,x9837,x9838,x9839,x98310,x9832)+E(f25(x9831,f48(f25(f3(f62(x9832),x9832,x9832,a1),x9833),f49(f69(x9832,a1)),f69(x9832,a1))),x9833) % 1.58/1.66 [980]~P11(x9806,x9801,x9807,x9808,x9809,x9805,x98010,x98011,x9802)+E(f25(x9801,f48(f25(f3(f62(x9802),x9802,x9802,a1),x9803),x9804,f69(x9802,a1))),f25(f25(x9805,x9803),f25(x9801,x9804))) % 1.58/1.66 [981]~P11(x9811,x9816,x9817,x9818,x9815,x9819,x98110,x98111,x9812)+E(f25(x9811,f48(f25(f3(f62(x9812),x9812,x9812,a1),x9813),x9814,f69(x9812,a1))),f25(f25(x9815,x9813),f25(x9811,x9814))) % 1.58/1.66 [984]~P11(x9846,x9841,x9847,x9848,x9849,x9845,x98410,x98411,x9842)+E(f25(x9841,f48(f25(f3(f62(x9842),x9842,x9842,a1),x9843),f48(f25(f3(f62(x9842),x9842,x9842,a1),x9844),f49(f69(x9842,a1)),f69(x9842,a1)),f69(x9842,a1))),f25(f25(x9845,x9843),x9844)) % 1.58/1.66 [985]~P11(x9851,x9856,x9857,x9858,x9855,x9859,x98510,x98511,x9852)+E(f25(x9851,f48(f25(f3(f62(x9852),x9852,x9852,a1),x9853),f48(f25(f3(f62(x9852),x9852,x9852,a1),x9854),f49(f69(x9852,a1)),f69(x9852,a1)),f69(x9852,a1))),f25(f25(x9855,x9853),x9854)) % 1.58/1.66 [511]P7(x5112,x5111,x5113)+~P18(x5113)+P7(x5111,x5112,x5113) % 1.58/1.66 [503]~P3(x5032)+~E(f48(x5033,x5031,x5032),f49(x5032))+E(x5031,f49(x5032)) % 1.58/1.66 [504]~P3(x5042)+~E(f30(x5043,x5041,x5042),f51(x5042))+E(x5041,f51(x5042)) % 1.58/1.66 [505]~P3(x5052)+~E(f48(x5051,x5053,x5052),f49(x5052))+E(x5051,f49(x5052)) % 1.58/1.66 [506]~P3(x5062)+~E(f30(x5061,x5063,x5062),f51(x5062))+E(x5061,f51(x5062)) % 1.58/1.66 [513]~P1(x5133)+~P7(x5132,x5131,x5133)+E(f30(x5131,x5132,x5133),x5132) % 1.58/1.66 [514]~P1(x5143)+~P7(x5141,x5142,x5143)+E(f30(x5141,x5142,x5143),x5141) % 1.58/1.66 [515]~P16(x5153)+~P7(x5151,x5152,x5153)+E(f48(x5151,x5152,x5153),x5152) % 1.58/1.66 [516]~P16(x5163)+~P7(x5162,x5161,x5163)+E(f48(x5161,x5162,x5163),x5161) % 1.58/1.66 [517]~P1(x5173)+P7(x5171,x5172,x5173)+~E(f30(x5171,x5172,x5173),x5171) % 1.58/1.66 [518]~P16(x5183)+P7(x5181,x5182,x5183)+~E(f48(x5181,x5182,x5183),x5182) % 1.58/1.66 [548]~P4(x5482)+~P7(f25(x5481,x5483),x5483,x5482)+P7(f47(x5481,x5482),x5483,x5482) % 1.58/1.66 [560]E(x5601,x5602)+~P7(x5601,x5602,f69(x5603,a1))+~P7(x5602,x5601,f69(x5603,a1)) % 1.58/1.66 [842]~P7(x8421,f48(f25(f3(f62(x8422),x8422,x8422,a1),x8423),f49(f69(x8422,a1)),f69(x8422,a1)),f69(x8422,a1))+E(x8421,f48(f25(f3(f62(x8422),x8422,x8422,a1),x8423),f49(f69(x8422,a1)),f69(x8422,a1)))+E(x8421,f49(f69(x8422,a1))) % 1.58/1.66 [565]~P4(x5653)+P7(x5651,f27(x5652,x5653),x5653)+~P24(f25(f25(f65(x5653),x5651),x5652)) % 1.58/1.66 [566]~P4(x5662)+P7(f29(x5661,x5662),x5663,x5662)+~P24(f25(f25(f65(x5662),x5663),x5661)) % 1.58/1.66 [759]E(x7591,x7592)+P24(f25(f25(f65(f69(f71(a66,a66),a1)),f22(x7593,x7591,x7592)),a4))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x7593),a4)) % 1.58/1.66 [760]E(x7601,x7602)+P24(f25(f25(f65(f69(f71(a66,a66),a1)),f23(x7603,x7601,x7602)),a4))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x7603),a4)) % 1.58/1.66 [802]E(x8021,x8022)+P24(f25(f25(f65(f71(a66,a66)),f54(x8022,x8021,a66,a66)),f23(x8023,x8022,x8021)))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8023),a4)) % 1.58/1.66 [803]E(x8031,x8032)+P24(f25(f25(f65(f71(a66,a66)),f54(x8031,x8032,a66,a66)),f22(x8033,x8031,x8032)))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8033),a4)) % 1.58/1.66 [895]~P24(f25(f25(f65(f71(a66,a66)),f54(x8953,x8952,a66,a66)),x8951))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8952,x8953,a66,a66)),x8951))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8951),a4)) % 1.58/1.66 [532]~P20(x5324)+E(x5321,x5322)+~E(f31(x5323,x5323,x5324),f31(x5321,x5322,x5324)) % 1.58/1.66 [533]~P20(x5333)+E(x5331,x5332)+~E(f31(x5331,x5332,x5333),f31(x5334,x5334,x5333)) % 1.58/1.66 [542]~P7(x5423,x5421,f69(x5424,a1))+P24(f25(x5421,x5422))+~P24(f25(x5423,x5422)) % 1.58/1.66 [561]~P16(x5614)+~P7(x5611,x5613,x5614)+P7(x5611,f48(x5612,x5613,x5614),x5614) % 1.58/1.66 [562]~P16(x5624)+~P7(x5621,x5622,x5624)+P7(x5621,f48(x5622,x5623,x5624),x5624) % 1.58/1.66 [563]~P1(x5633)+~P7(x5632,x5634,x5633)+P7(f30(x5631,x5632,x5633),x5634,x5633) % 1.58/1.66 [564]~P1(x5643)+~P7(x5641,x5644,x5643)+P7(f30(x5641,x5642,x5643),x5644,x5643) % 1.58/1.66 [568]~P1(x5683)+P7(x5681,x5682,x5683)+~P7(x5681,f30(x5684,x5682,x5683),x5683) % 1.58/1.66 [570]~P1(x5703)+P7(x5701,x5702,x5703)+~P7(x5701,f30(x5702,x5704,x5703),x5703) % 1.58/1.66 [572]~P16(x5723)+P7(x5721,x5722,x5723)+~P7(f48(x5724,x5721,x5723),x5722,x5723) % 1.58/1.66 [574]~P16(x5743)+P7(x5741,x5742,x5743)+~P7(f48(x5741,x5744,x5743),x5742,x5743) % 1.58/1.66 [577]~P7(x5771,x5774,f69(x5773,a1))+~P7(x5774,x5772,f69(x5773,a1))+P7(x5771,x5772,f69(x5773,a1)) % 1.58/1.66 [597]~P4(x5974)+E(f32(x5971,f28(x5973,x5974,x5972),x5972,x5974),x5973)+E(x5971,f49(f69(x5972,a1))) % 1.58/1.66 [623]~P7(x6231,x6232,f69(x6234,a1))+~P7(x6231,x6233,f69(x6234,a1))+P7(x6231,f30(x6232,x6233,f69(x6234,a1)),f69(x6234,a1)) % 1.58/1.66 [625]~P7(x6251,x6254,f69(x6253,a1))+~P7(x6252,x6254,f69(x6253,a1))+P7(f48(x6251,x6252,f69(x6253,a1)),x6254,f69(x6253,a1)) % 1.58/1.66 [626]~P7(x6261,x6262,f69(x6264,a1))+~P7(x6263,x6261,f69(x6264,a1))+E(f31(x6261,f31(x6262,x6263,f69(x6264,a1)),f69(x6264,a1)),x6263) % 1.58/1.66 [601]~P7(x6014,x6013,f69(x6011,a1))+~P24(f25(f25(f65(x6011),x6012),x6014))+P24(f25(f25(f65(x6011),x6012),x6013)) % 1.58/1.66 [602]~P24(f25(x6022,x6024))+~P24(f25(x6021,x6024))+P24(f25(f30(x6021,x6022,f69(x6023,a1)),x6024)) % 1.58/1.66 [617]~P24(f25(x6171,x6174))+P24(f25(x6171,f5(x6172,x6171,x6173)))+~P24(f25(f25(f65(x6173),x6174),x6172)) % 1.58/1.66 [618]~P24(f25(x6181,x6184))+P24(f25(x6181,f15(x6182,x6181,x6183)))+~P24(f25(f25(f65(x6183),x6184),x6182)) % 1.58/1.66 [619]~P24(f25(x6191,x6194))+P24(f25(x6191,f16(x6192,x6191,x6193)))+~P24(f25(f25(f65(x6193),x6194),x6192)) % 1.58/1.66 [620]~P24(f25(x6201,x6204))+P24(f25(x6201,f17(x6202,x6201,x6203)))+~P24(f25(f25(f65(x6203),x6204),x6202)) % 1.58/1.66 [628]~E(f30(x6281,x6282,f69(x6283,a1)),f49(f69(x6283,a1)))+~P24(f25(f25(f65(x6283),x6284),x6281))+~P24(f25(f25(f65(x6283),x6284),x6282)) % 1.58/1.66 [637]P24(f25(x6371,x6372))+~P24(f25(x6371,f9(x6373,x6371,x6374)))+~P24(f25(f25(f65(x6374),x6372),x6373)) % 1.58/1.66 [642]P24(f25(x6421,x6422))+P24(f25(x6423,x6422))+~P24(f25(f48(x6421,x6423,f69(x6424,a1)),x6422)) % 1.58/1.66 [653]~P24(f25(x6534,x6532))+~P24(f25(f25(f65(x6531),x6532),x6533))+P24(f25(f25(f65(x6531),x6532),f30(x6533,x6534,f69(x6531,a1)))) % 1.58/1.66 [659]~P24(f25(f25(f65(x6591),x6592),x6594))+P24(f25(f25(f65(x6591),x6592),x6593))+P24(f25(f25(f65(x6591),x6592),f31(x6594,x6593,f69(x6591,a1)))) % 1.58/1.66 [663]P24(f25(x6631,x6632))+P24(f25(f25(f65(x6633),f9(x6634,x6631,x6633)),x6634))+~P24(f25(f25(f65(x6633),x6632),x6634)) % 1.58/1.66 [665]~P24(f25(f25(f65(x6651),x6652),x6654))+~P24(f25(f25(f65(x6651),x6652),x6653))+P24(f25(f25(f65(x6651),x6652),f30(x6653,x6654,f69(x6651,a1)))) % 1.58/1.66 [667]~P24(f25(x6673,x6674))+~P24(f25(f25(f65(x6671),x6674),x6672))+P24(f25(f25(f65(x6671),f5(x6672,x6673,x6671)),x6672)) % 1.58/1.66 [668]~P24(f25(x6683,x6684))+~P24(f25(f25(f65(x6681),x6684),x6682))+P24(f25(f25(f65(x6681),f15(x6682,x6683,x6681)),x6682)) % 1.58/1.66 [669]~P24(f25(x6693,x6694))+~P24(f25(f25(f65(x6691),x6694),x6692))+P24(f25(f25(f65(x6691),f16(x6692,x6693,x6691)),x6692)) % 1.58/1.66 [670]~P24(f25(x6703,x6704))+~P24(f25(f25(f65(x6701),x6704),x6702))+P24(f25(f25(f65(x6701),f17(x6702,x6703,x6701)),x6702)) % 1.58/1.66 [688]P24(f25(f25(f65(x6881),x6882),x6883))+P24(f25(f25(f65(x6881),x6882),x6884))+~P24(f25(f25(f65(x6881),x6882),f48(x6883,x6884,f69(x6881,a1)))) % 1.58/1.66 [791]~P7(x7913,x7914,f69(x7911,a1))+P7(f48(f25(f3(f62(x7911),x7911,x7911,a1),x7912),x7913,f69(x7911,a1)),x7914,f69(x7911,a1))+~P24(f25(f25(f65(x7911),x7912),x7914)) % 1.58/1.66 [823]P7(x8231,x8232,f69(x8233,a1))+~P7(x8231,f48(f25(f3(f62(x8233),x8233,x8233,a1),x8234),x8232,f69(x8233,a1)),f69(x8233,a1))+P24(f25(f25(f65(x8233),x8234),x8231)) % 1.58/1.66 [857]E(x8571,x8572)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8573,x8571,a66,a66)),f24(x8574,x8572)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8573,x8571,a66,a66)),x8574)) % 1.58/1.66 [858]E(x8581,x8582)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8581,x8583,a66,a66)),f21(x8584,x8582)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8581,x8583,a66,a66)),x8584)) % 1.58/1.66 [884]E(x8841,x8842)+P24(f25(x8843,x8841))+~P24(f25(f48(f25(f3(f62(x8844),x8844,x8844,a1),x8842),x8843,f69(x8844,a1)),x8841)) % 1.58/1.66 [886]E(x8861,x8862)+P24(f25(f25(f65(x8863),x8861),x8864))+~P24(f25(f25(f65(x8863),x8861),f48(f25(f3(f62(x8863),x8863,x8863,a1),x8862),x8864,f69(x8863,a1)))) % 1.58/1.66 [898]~P7(x8981,f48(f25(f3(f62(x8982),x8982,x8982,a1),x8983),x8984,f69(x8982,a1)),f69(x8982,a1))+P7(f31(x8981,f48(f25(f3(f62(x8982),x8982,x8982,a1),x8983),f49(f69(x8982,a1)),f69(x8982,a1)),f69(x8982,a1)),x8984,f69(x8982,a1))+~P24(f25(f25(f65(x8982),x8983),x8981)) % 1.58/1.66 [907]~P7(f31(x9071,f48(f25(f3(f62(x9072),x9072,x9072,a1),x9073),f49(f69(x9072,a1)),f69(x9072,a1)),f69(x9072,a1)),x9074,f69(x9072,a1))+P7(x9071,f48(f25(f3(f62(x9072),x9072,x9072,a1),x9073),x9074,f69(x9072,a1)),f69(x9072,a1))+~P24(f25(f25(f65(x9072),x9073),x9071)) % 1.58/1.66 [687]~E(f30(f27(x6874,f69(x6873,a1)),x6872,f69(x6873,a1)),f49(f69(x6873,a1)))+E(f30(x6871,x6872,f69(x6873,a1)),f49(f69(x6873,a1)))+~P24(f25(f25(f65(f69(x6873,a1)),x6871),x6874)) % 1.58/1.66 [689]~P24(f25(f25(f65(x6891),x6892),x6894))+P24(f25(f25(f65(x6891),x6892),f27(x6893,f69(x6891,a1))))+~P24(f25(f25(f65(f69(x6891,a1)),x6894),x6893)) % 1.58/1.66 [697]P24(f25(f25(f65(x6971),x6972),x6973))+~P24(f25(f25(f65(x6971),x6972),f29(x6974,f69(x6971,a1))))+~P24(f25(f25(f65(f69(x6971,a1)),x6973),x6974)) % 1.58/1.66 [796]~P8(x7961,f51(f69(x7964,a1)),x7964,x7963)+E(f11(f25(x7961,x7962),x7961,x7963,x7964),x7962)+~P24(f25(f25(f65(x7963),f25(x7961,x7962)),f63(x7961,f51(f69(x7964,a1)),x7964,x7963))) % 1.58/1.66 [798]~P8(x7981,f51(f69(x7984,a1)),x7984,x7983)+E(f25(x7981,f11(x7982,x7981,x7983,x7984)),x7982)+~P24(f25(f25(f65(x7983),x7982),f63(x7981,f51(f69(x7984,a1)),x7984,x7983))) % 1.58/1.66 [917]~P10(x9174,x9173,x9171)+~P24(f25(f25(f65(x9171),x9172),x9174))+P24(f25(f25(f65(x9171),x9172),f53(x9173,f48(f25(f3(f62(x9171),x9171,x9171,a1),x9172),f49(f69(x9171,a1)),f69(x9171,a1)),x9171,x9171))) % 1.58/1.66 [838]E(x8381,x8382)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8384,x8384,a66,a66)),f22(x8383,x8381,x8382)))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8383),a4)) % 1.58/1.66 [839]E(x8391,x8392)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8394,x8394,a66,a66)),f23(x8393,x8391,x8392)))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8393),a4)) % 1.58/1.66 [557]~P14(x5574)+P7(f25(x5571,x5572),f25(x5573,x5572),x5574)+~P7(x5571,x5573,f69(x5575,x5574)) % 1.58/1.66 [676]P8(x6761,x6762,x6763,x6764)+~P8(x6761,x6765,x6763,x6764)+~P7(x6762,x6765,f69(x6763,a1)) % 1.58/1.66 [631]E(x6311,x6312)+~E(f25(x6313,x6311),f25(x6313,x6312))+~P8(x6313,f51(f69(x6314,a1)),x6314,x6315) % 1.58/1.66 [650]~P7(x6501,x6504,f69(x6503,a1))+~P7(x6502,x6505,f69(x6503,a1))+P7(f30(x6501,x6502,f69(x6503,a1)),f30(x6504,x6505,f69(x6503,a1)),f69(x6503,a1)) % 1.58/1.66 [651]~P7(x6511,x6514,f69(x6513,a1))+~P7(x6512,x6515,f69(x6513,a1))+P7(f48(x6511,x6512,f69(x6513,a1)),f48(x6514,x6515,f69(x6513,a1)),f69(x6513,a1)) % 1.58/1.66 [652]~P7(x6521,x6524,f69(x6523,a1))+~P7(x6525,x6522,f69(x6523,a1))+P7(f31(x6521,x6522,f69(x6523,a1)),f31(x6524,x6525,f69(x6523,a1)),f69(x6523,a1)) % 1.58/1.66 [715]E(x7151,x7152)+~E(f63(x7153,x7151,x7154,x7155),f63(x7153,x7152,x7154,x7155))+~P8(x7153,f51(f69(x7154,a1)),x7154,x7155) % 1.58/1.66 [718]~P24(f25(f25(x7183,x7184),x7182))+~P24(f25(f25(x7183,x7182),x7185))+P24(f25(f25(f65(x7181),x7182),f57(x7183,x7184,x7185,x7181))) % 1.58/1.66 [719]~P24(f25(f25(x7193,x7194),x7192))+~P24(f25(f25(x7193,x7192),x7195))+P24(f25(f25(f65(x7191),x7192),f61(x7193,x7194,x7195,x7191))) % 1.58/1.66 [726]E(x7261,x7262)+~E(f63(x7263,x7261,x7264,x7265),f63(x7263,x7262,x7264,x7265))+~P8(x7263,f48(x7261,x7262,f69(x7264,a1)),x7264,x7265) % 1.58/1.66 [741]~P8(x7412,x7411,x7413,x7414)+~P7(x7415,x7411,f69(x7413,a1))+E(f63(f45(x7411,x7412,x7413,x7414),f63(x7412,x7415,x7413,x7414),x7414,x7413),x7415) % 1.58/1.66 [757]~P7(x7572,f63(x7571,x7575,x7573,x7574),f69(x7574,a1))+P7(f64(x7571,x7572,x7573,x7574),x7575,f69(x7573,a1))+~P8(x7571,f51(f69(x7573,a1)),x7573,x7574) % 1.58/1.66 [768]~P7(f63(x7684,x7681,x7683,x7685),f63(x7684,x7682,x7683,x7685),f69(x7685,a1))+P7(x7681,x7682,f69(x7683,a1))+~P8(x7684,f51(f69(x7683,a1)),x7683,x7685) % 1.58/1.66 [918]E(x9181,x9182)+E(x9181,x9183)+~E(f48(f25(f3(f62(x9184),x9184,x9184,a1),x9185),f48(f25(f3(f62(x9184),x9184,x9184,a1),x9181),f49(f69(x9184,a1)),f69(x9184,a1)),f69(x9184,a1)),f48(f25(f3(f62(x9184),x9184,x9184,a1),x9183),f48(f25(f3(f62(x9184),x9184,x9184,a1),x9182),f49(f69(x9184,a1)),f69(x9184,a1)),f69(x9184,a1))) % 1.58/1.66 [919]E(x9191,x9192)+E(x9193,x9192)+~E(f48(f25(f3(f62(x9194),x9194,x9194,a1),x9193),f48(f25(f3(f62(x9194),x9194,x9194,a1),x9191),f49(f69(x9194,a1)),f69(x9194,a1)),f69(x9194,a1)),f48(f25(f3(f62(x9194),x9194,x9194,a1),x9195),f48(f25(f3(f62(x9194),x9194,x9194,a1),x9192),f49(f69(x9194,a1)),f69(x9194,a1)),f69(x9194,a1))) % 1.58/1.66 [920]E(x9201,x9202)+E(x9203,x9202)+~E(f48(f25(f3(f62(x9204),x9204,x9204,a1),x9203),f48(f25(f3(f62(x9204),x9204,x9204,a1),x9201),f49(f69(x9204,a1)),f69(x9204,a1)),f69(x9204,a1)),f48(f25(f3(f62(x9204),x9204,x9204,a1),x9202),f48(f25(f3(f62(x9204),x9204,x9204,a1),x9205),f49(f69(x9204,a1)),f69(x9204,a1)),f69(x9204,a1))) % 1.58/1.66 [921]E(x9211,x9212)+E(x9211,x9213)+~E(f48(f25(f3(f62(x9214),x9214,x9214,a1),x9211),f48(f25(f3(f62(x9214),x9214,x9214,a1),x9215),f49(f69(x9214,a1)),f69(x9214,a1)),f69(x9214,a1)),f48(f25(f3(f62(x9214),x9214,x9214,a1),x9213),f48(f25(f3(f62(x9214),x9214,x9214,a1),x9212),f49(f69(x9214,a1)),f69(x9214,a1)),f69(x9214,a1))) % 1.58/1.66 [656]E(f25(x6561,x6562),f49(f69(x6563,a1)))+~E(f32(x6564,x6561,x6565,f69(x6563,a1)),f49(f69(x6563,a1)))+~P24(f25(f25(f65(x6565),x6562),x6564)) % 1.58/1.66 [666]~P4(x6665)+P7(f25(x6661,x6662),f32(x6663,x6661,x6664,x6665),x6665)+~P24(f25(f25(f65(x6664),x6662),x6663)) % 1.58/1.66 [696]E(f25(x6961,x6962),f46(x6963))+~P24(f25(f25(f65(f69(x6964,x6963)),x6961),f38(x6965,x6964,x6963)))+P24(f25(f25(f65(x6964),x6962),x6965)) % 1.58/1.66 [702]~P8(x7022,x7021,x7023,x7024)+E(f25(f45(x7021,x7022,x7023,x7024),f25(x7022,x7025)),x7025)+~P24(f25(f25(f65(x7023),x7025),x7021)) % 1.58/1.66 [712]~P24(f25(x7121,x7125))+P24(f25(x7121,f18(x7122,x7123,x7121,x7124)))+~P24(f25(f25(f65(x7124),x7125),x7123)) % 1.58/1.66 [713]~P24(f25(x7131,x7135))+P24(f25(x7131,f18(x7132,x7133,x7131,x7134)))+~P24(f25(f25(f65(x7134),x7135),x7132)) % 1.58/1.66 [772]P24(f25(x7721,x7722))+P24(f25(f25(f65(x7723),f10(x7724,x7725,x7721,x7723)),x7724))+~P24(f25(f25(f65(x7723),x7722),x7724)) % 1.58/1.66 [773]P24(f25(x7731,x7732))+P24(f25(f25(f65(x7733),f10(x7734,x7731,x7735,x7733)),x7734))+~P24(f25(f25(f65(x7733),x7732),x7734)) % 1.58/1.66 [783]~P8(x7834,f51(f69(x7831,a1)),x7831,x7835)+~P24(f25(f25(f65(x7835),f25(x7834,x7832)),f63(x7834,x7833,x7831,x7835)))+P24(f25(f25(f65(x7831),x7832),x7833)) % 1.58/1.66 [792]~P24(f25(x7924,x7925))+~P24(f25(f25(f65(x7921),x7925),x7923))+P24(f25(f25(f65(x7921),f18(x7922,x7923,x7924,x7921)),f48(x7922,x7923,f69(x7921,a1)))) % 1.58/1.66 [793]~P24(f25(x7934,x7935))+~P24(f25(f25(f65(x7931),x7935),x7932))+P24(f25(f25(f65(x7931),f18(x7932,x7933,x7934,x7931)),f48(x7932,x7933,f69(x7931,a1)))) % 1.58/1.66 [824]~P10(x8243,x8244,x8241)+~P24(f25(f25(f65(f71(x8241,x8241)),f54(x8245,x8242,x8241,x8241)),x8244))+P24(f25(f25(f65(x8241),x8242),x8243)) % 1.58/1.66 [825]~P10(x8253,x8254,x8251)+~P24(f25(f25(f65(f71(x8251,x8251)),f54(x8252,x8255,x8251,x8251)),x8254))+P24(f25(f25(f65(x8251),x8252),x8253)) % 1.58/1.66 [888]~P8(x8883,f51(f69(x8884,a1)),x8884,x8885)+P24(f25(x8881,x8882))+~P24(f25(x8881,f25(f45(f51(f69(x8884,a1)),x8883,x8884,x8885),f13(x8881,x8883,x8884,x8885)))) % 1.58/1.66 [901]~P10(x9015,x9011,x9012)+E(f53(x9011,f48(f25(f3(f62(x9012),x9012,x9012,a1),x9013),f49(f69(x9012,a1)),f69(x9012,a1)),x9012,x9012),f53(x9011,f48(f25(f3(f62(x9012),x9012,x9012,a1),x9014),f49(f69(x9012,a1)),f69(x9012,a1)),x9012,x9012))+~P24(f25(f25(f65(f71(x9012,x9012)),f54(x9013,x9014,x9012,x9012)),x9011)) % 1.58/1.66 [935]~P10(x9355,x9351,x9352)+P7(f53(x9351,f48(f25(f3(f62(x9352),x9352,x9352,a1),x9353),f49(f69(x9352,a1)),f69(x9352,a1)),x9352,x9352),f53(x9351,f48(f25(f3(f62(x9352),x9352,x9352,a1),x9354),f49(f69(x9352,a1)),f69(x9352,a1)),x9352,x9352),f69(x9352,a1))+~P24(f25(f25(f65(f71(x9352,x9352)),f54(x9353,x9354,x9352,x9352)),x9351)) % 1.58/1.66 [821]~P8(x8214,f51(f69(x8215,a1)),x8215,x8213)+P24(f25(x8211,x8212))+P24(f25(f25(f65(x8213),f13(x8211,x8214,x8215,x8213)),f63(x8214,f51(f69(x8215,a1)),x8215,x8213))) % 1.58/1.66 [889]~P24(f25(f25(f65(f69(x8892,x8894)),x8891),f38(x8893,x8892,x8894)))+E(f33(f19(x8891,f33(f2(x8892),x8893,x8892,x8892),x8892,x8894,x8892),x8893,x8892,x8894),x8891)+~P24(f25(f25(f65(f69(x8892,x8894)),x8891),f37(x8893,f28(x8895,f69(x8894,a1),x8892),x8892,x8894))) % 1.58/1.66 [890]~P24(f25(f25(f65(f69(x8904,x8901)),x8903),f38(x8905,x8904,x8901)))+E(f33(f19(f33(f2(x8901),x8902,x8901,x8901),x8903,x8901,x8901,x8904),x8905,x8904,x8901),x8903)+~P24(f25(f25(f65(f69(x8904,x8901)),x8903),f37(x8905,f28(x8902,f69(x8901,a1),x8904),x8904,x8901))) % 1.58/1.66 [948]~P8(x9481,x9484,x9482,x9485)+P8(x9481,f48(f25(f3(f62(x9482),x9482,x9482,a1),x9483),x9484,f69(x9482,a1)),x9482,x9485)+P24(f25(f25(f65(x9485),f25(x9481,x9483)),f63(x9481,f31(x9484,f48(f25(f3(f62(x9482),x9482,x9482,a1),x9483),f49(f69(x9482,a1)),f69(x9482,a1)),f69(x9482,a1)),x9482,x9485))) % 1.58/1.66 [630]~P13(x6301,x6304,x6305,x6306)+E(f25(f25(x6301,x6302),x6303),x6303)+~E(f25(x6302,f25(x6304,x6303)),f25(x6304,x6303)) % 1.58/1.66 [831]~P8(x8311,x8316,x8314,x8315)+P8(f34(x8311,x8312,x8313,x8314,x8315),x8316,x8314,x8315)+P24(f25(f25(f65(x8315),x8313),f63(x8311,x8316,x8314,x8315))) % 1.58/1.66 [844]~P24(f25(f25(x8444,x8442),x8446))+~P24(f25(f25(x8443,x8445),x8442))+P24(f25(f25(f65(x8441),x8442),f58(x8443,x8444,x8445,x8446,x8441))) % 1.58/1.66 [714]P7(f25(x7141,x7142),x7143,f69(x7144,a1))+~P7(f32(x7146,x7141,x7145,f69(x7144,a1)),x7143,f69(x7144,a1))+~P24(f25(f25(f65(x7145),x7142),x7146)) % 1.58/1.66 [716]~P7(f63(x7162,x7166,x7165,x7161),x7164,f69(x7161,a1))+P24(f25(f25(f65(x7161),f25(x7162,x7163)),x7164))+~P24(f25(f25(f65(x7165),x7163),x7166)) % 1.58/1.66 [725]~P24(f25(f25(x7252,x7256),x7255))+~P24(f25(f25(f65(x7253),x7256),x7251))+P24(f25(f32(x7251,x7252,x7253,f69(x7254,a1)),x7255)) % 1.58/1.66 [731]E(x7311,x7312)+~E(f55(x7311,f28(x7313,f69(x7314,a1),x7315),x7315,x7314),f55(x7312,f28(x7313,f69(x7314,a1),x7315),x7315,x7314))+~P24(f25(f25(f65(x7314),x7316),x7313)) % 1.58/1.66 [734]~P24(f25(f25(f65(x7341),x7342),f25(x7344,x7346)))+~P24(f25(f25(f65(x7345),x7346),x7343))+P24(f25(f25(f65(x7341),x7342),f32(x7343,x7344,x7345,f69(x7341,a1)))) % 1.58/1.66 [785]~P24(f25(f25(f65(f69(x7855,x7851)),x7852),f37(x7856,x7854,x7855,x7851)))+P24(f25(f25(f65(x7851),f25(x7852,x7853)),f25(x7854,x7853)))+~P24(f25(f25(f65(x7855),x7853),x7856)) % 1.58/1.66 [815]~P24(f25(f25(f65(x8152),x8154),f25(x8156,x8153)))+P24(f25(f25(f65(f71(x8151,x8152)),f54(x8153,x8154,x8151,x8152)),f55(x8155,x8156,x8151,x8152)))+~P24(f25(f25(f65(x8151),x8153),x8155)) % 1.58/1.66 [841]P24(f25(f25(f65(x8411),x8412),f53(x8413,x8414,x8415,x8411)))+~P24(f25(f25(f65(f71(x8415,x8411)),f54(x8416,x8412,x8415,x8411)),x8413))+~P24(f25(f25(f65(x8415),x8416),x8414)) % 1.58/1.66 [963]~P10(x9635,x9634,x9631)+P24(f25(f25(f65(f71(x9631,x9631)),f54(x9632,x9633,x9631,x9631)),x9634))+~P24(f25(f25(f65(x9631),x9636),f30(f53(x9634,f48(f25(f3(f62(x9631),x9631,x9631,a1),x9632),f49(f69(x9631,a1)),f69(x9631,a1)),x9631,x9631),f53(x9634,f48(f25(f3(f62(x9631),x9631,x9631,a1),x9633),f49(f69(x9631,a1)),f69(x9631,a1)),x9631,x9631),f69(x9631,a1)))) % 1.58/1.66 [804]P24(f25(f25(f65(x8041),f25(x8042,x8043)),x8044))+~P24(f25(f25(f65(x8045),x8043),x8046))+~P24(f25(f25(f65(f69(x8045,x8041)),x8042),f37(x8046,f28(x8044,f69(x8041,a1),x8045),x8045,x8041))) % 1.58/1.66 [645]~P13(x6451,x6455,x6456,x6457)+E(f25(f25(x6451,x6452),x6453),f25(f25(x6451,x6454),x6453))+~E(f25(x6452,f25(x6455,x6453)),f25(x6454,f25(x6455,x6453))) % 1.58/1.66 [894]~P12(x8942,x8946,x8947,x8945,x8943)+~P8(x8941,x8947,x8943,x8944)+P8(f33(f19(x8941,x8942,x8943,x8944,x8945),x8946,x8945,x8944),x8946,x8945,x8944) % 1.58/1.66 [937]~P9(x9374,x9375,x9373,x9376,x9371,x9377)+P9(x9374,x9375,f48(f25(f3(f62(x9371),x9371,x9371,a1),x9372),x9373,f69(x9371,a1)),f25(f25(x9374,x9372),x9376),x9371,x9377)+P24(f25(f25(f65(x9371),x9372),x9373)) % 1.58/1.66 [945]P9(x9451,x9452,x9453,f25(f25(x9451,x9454),x9455),x9456,x9457)+~P9(x9451,x9452,f31(x9453,f48(f25(f3(f62(x9456),x9456,x9456,a1),x9454),f49(f69(x9456,a1)),f69(x9456,a1)),f69(x9456,a1)),x9455,x9456,x9457)+~P24(f25(f25(f65(x9456),x9454),x9453)) % 1.58/1.66 [909]~P12(x9091,x9098,x9097,x9093,x9094)+~P12(x9092,x9096,x9098,x9095,x9093)+P12(f33(f19(x9091,x9092,x9093,x9094,x9095),x9096,x9095,x9094),x9096,x9097,x9095,x9094) % 1.58/1.66 [951]~P24(f25(f25(f65(f69(x9515,x9512)),x9513),f37(x9518,f28(x9517,f69(x9512,a1),x9515),x9515,x9512)))+~P24(f25(f25(f65(f69(x9511,x9515)),x9514),f37(x9516,f28(x9518,f69(x9515,a1),x9511),x9511,x9515)))+P24(f25(f25(f65(f69(x9511,x9512)),f33(f19(x9513,x9514,x9515,x9512,x9511),x9516,x9511,x9512)),f37(x9516,f28(x9517,f69(x9512,a1),x9511),x9511,x9512))) % 1.58/1.66 [800]~P24(f25(f25(f25(x8002,x8008),x8006),x8007))+~P24(f25(f25(f65(x8003),x8008),x8001))+P24(f25(f25(f32(x8001,x8002,x8003,f69(x8004,f69(x8005,a1))),x8006),x8007)) % 1.58/1.66 [978]~P11(x9786,x9783,x9781,x9787,x9788,x9789,x97810,x97811,x9785)+P24(f25(f25(x9781,x9782),f25(x9783,x9784)))+~P24(f25(f25(f65(x9785),x9782),x9784)) % 1.58/1.66 [979]~P11(x9792,x9796,x9791,x9797,x9798,x9799,x97910,x97911,x9795)+P24(f25(f25(x9791,f25(x9792,x9793)),x9794))+~P24(f25(f25(f65(x9795),x9794),x9793)) % 1.58/1.66 [536]~P7(x5362,x5361,x5363)+~P7(x5361,x5362,x5363)+E(x5361,x5362)+~P17(x5363) % 1.58/1.66 [849]E(x8491,x8492)+P24(f25(f25(f65(f71(a66,a66)),f54(x8491,x8492,a66,a66)),x8493))+P24(f25(f25(f65(f71(a66,a66)),f54(x8492,x8491,a66,a66)),x8493))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8493),a4)) % 1.58/1.66 [865]E(x8651,x8652)+P24(f25(f25(f65(f71(a66,a66)),f54(x8651,x8652,a66,a66)),f23(x8653,x8651,x8652)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8651,x8652,a66,a66)),x8653))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8653),a4)) % 1.58/1.66 [555]~P17(x5553)+~P7(x5551,x5554,x5553)+P7(x5551,x5552,x5553)+~P7(x5554,x5552,x5553) % 1.58/1.66 [556]~P23(x5563)+~P7(x5561,x5564,x5563)+P7(x5561,x5562,x5563)+~P7(x5564,x5562,x5563) % 1.58/1.66 [588]~P1(x5884)+~P7(x5881,x5883,x5884)+~P7(x5881,x5882,x5884)+P7(x5881,f30(x5882,x5883,x5884),x5884) % 1.58/1.66 [591]~P16(x5913)+~P7(x5912,x5914,x5913)+~P7(x5911,x5914,x5913)+P7(f48(x5911,x5912,x5913),x5914,x5913) % 1.58/1.66 [816]E(x8161,x8162)+~E(f48(f25(f3(f62(x8163),x8163,x8163,a1),x8164),x8161,f69(x8163,a1)),f48(f25(f3(f62(x8163),x8163,x8163,a1),x8164),x8162,f69(x8163,a1)))+P24(f25(f25(f65(x8163),x8164),x8162))+P24(f25(f25(f65(x8163),x8164),x8161)) % 1.58/1.66 [853]E(x8531,x8532)+E(x8533,x8532)+P24(f25(f25(f65(f71(a66,a66)),f54(x8533,x8531,a66,a66)),f21(x8534,x8532)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8533,x8531,a66,a66)),x8534)) % 1.58/1.66 [854]E(x8541,x8542)+E(x8543,x8542)+P24(f25(f25(f65(f71(a66,a66)),f54(x8543,x8541,a66,a66)),f24(x8544,x8542)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8543,x8541,a66,a66)),x8544)) % 1.58/1.66 [855]E(x8551,x8552)+E(x8553,x8551)+P24(f25(f25(f65(f71(a66,a66)),f54(x8553,x8551,a66,a66)),f21(x8554,x8552)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8553,x8551,a66,a66)),x8554)) % 1.58/1.66 [856]E(x8561,x8562)+E(x8561,x8563)+P24(f25(f25(f65(f71(a66,a66)),f54(x8561,x8563,a66,a66)),f24(x8564,x8562)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8561,x8563,a66,a66)),x8564)) % 1.58/1.66 [878]E(x8781,x8782)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8783,x8781,a66,a66)),f23(x8784,x8781,x8782)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8783,x8782,a66,a66)),x8784))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8784),a4)) % 1.58/1.66 [879]E(x8791,x8792)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8791,x8793,a66,a66)),f22(x8794,x8792,x8791)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8792,x8793,a66,a66)),x8794))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8794),a4)) % 1.58/1.66 [897]~P6(x8973)+P24(f25(f25(f65(f71(a66,a66)),f54(x8971,x8972,a66,a66)),f25(x8973,x8974)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8971,x8972,a66,a66)),f25(x8974,f76(x8971,x8972,x8974))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x8974),a20)) % 1.58/1.66 [575]~P21(x5753)+~P7(x5755,x5754,x5753)+P7(x5751,x5752,x5753)+~E(f31(x5754,x5755,x5753),f31(x5752,x5751,x5753)) % 1.58/1.66 [576]~P21(x5763)+~P7(x5765,x5764,x5763)+P7(x5761,x5762,x5763)+~E(f31(x5762,x5761,x5763),f31(x5764,x5765,x5763)) % 1.58/1.66 [828]~P8(x8281,x8283,x8284,x8285)+~P8(x8281,x8282,x8284,x8285)+P8(x8281,f48(x8282,x8283,f69(x8284,a1)),x8284,x8285)+~E(f30(f63(x8281,f31(x8282,x8283,f69(x8284,a1)),x8284,x8285),f63(x8281,f31(x8283,x8282,f69(x8284,a1)),x8284,x8285),f69(x8285,a1)),f49(f69(x8285,a1))) % 1.58/1.66 [903]E(x9031,x9032)+~E(f25(x9031,f39(x9033,x9031,x9032,x9034,x9035)),f25(x9032,f39(x9033,x9031,x9032,x9034,x9035)))+~P24(f25(f25(f65(f69(x9034,x9035)),x9032),f38(x9033,x9034,x9035)))+~P24(f25(f25(f65(f69(x9034,x9035)),x9031),f38(x9033,x9034,x9035))) % 1.58/1.66 [805]P24(f25(x8051,x8052))+~P24(f25(x8053,f10(x8054,x8053,x8051,x8055)))+~P24(f25(x8051,f10(x8054,x8053,x8051,x8055)))+~P24(f25(f25(f65(x8055),x8052),x8054)) % 1.58/1.66 [806]P24(f25(x8061,x8062))+~P24(f25(x8063,f10(x8064,x8061,x8063,x8065)))+~P24(f25(x8061,f10(x8064,x8061,x8063,x8065)))+~P24(f25(f25(f65(x8065),x8062),x8064)) % 1.58/1.66 [916]~P10(x9165,x9164,x9161)+~E(f53(x9164,f48(f25(f3(f62(x9161),x9161,x9161,a1),x9162),f49(f69(x9161,a1)),f69(x9161,a1)),x9161,x9161),f53(x9164,f48(f25(f3(f62(x9161),x9161,x9161,a1),x9163),f49(f69(x9161,a1)),f69(x9161,a1)),x9161,x9161))+~P24(f25(f25(f65(x9161),x9163),x9165))+P24(f25(f25(f65(f71(x9161,x9161)),f54(x9162,x9163,x9161,x9161)),x9164)) % 1.58/1.66 [927]E(x9271,x9272)+~P24(f25(f25(f65(f69(x9273,x9275)),x9272),f38(x9274,x9273,x9275)))+~P24(f25(f25(f65(f69(x9273,x9275)),x9271),f38(x9274,x9273,x9275)))+P24(f25(f25(f65(x9273),f39(x9274,x9271,x9272,x9273,x9275)),x9274)) % 1.58/1.66 [943]~P10(x9435,x9434,x9431)+~P7(f53(x9434,f48(f25(f3(f62(x9431),x9431,x9431,a1),x9433),f49(f69(x9431,a1)),f69(x9431,a1)),x9431,x9431),f53(x9434,f48(f25(f3(f62(x9431),x9431,x9431,a1),x9432),f49(f69(x9431,a1)),f69(x9431,a1)),x9431,x9431),f69(x9431,a1))+~P24(f25(f25(f65(x9431),x9433),x9435))+P24(f25(f25(f65(f71(x9431,x9431)),f54(x9432,x9433,x9431,x9431)),x9434)) % 1.58/1.66 [843]E(x8431,x8432)+~E(f25(f45(x8433,x8434,x8435,x8436),x8431),f25(f45(x8433,x8434,x8435,x8436),x8432))+~P24(f25(f25(f65(x8436),x8432),f63(x8434,x8433,x8435,x8436)))+~P24(f25(f25(f65(x8436),x8431),f63(x8434,x8433,x8435,x8436))) % 1.58/1.66 [763]~P8(x7631,x7636,x7633,x7634)+~P7(x7632,x7636,f69(x7633,a1))+~P7(x7635,x7636,f69(x7633,a1))+E(f30(f63(x7631,x7632,x7633,x7634),f63(x7631,x7635,x7633,x7634),f69(x7634,a1)),f63(x7631,f30(x7632,x7635,f69(x7633,a1)),x7633,x7634)) % 1.58/1.66 [764]~P8(x7641,x7646,x7643,x7644)+~P7(x7642,x7646,f69(x7643,a1))+~P7(x7645,x7646,f69(x7643,a1))+E(f31(f63(x7641,x7642,x7643,x7644),f63(x7641,x7645,x7643,x7644),f69(x7644,a1)),f63(x7641,f31(x7642,x7645,f69(x7643,a1)),x7643,x7644)) % 1.58/1.66 [847]~P24(f25(x8471,x8476))+~P24(f25(f25(f65(x8475),x8476),f25(x8473,x8477)))+P24(f25(x8471,f12(x8472,x8473,x8471,x8474,x8475)))+~P24(f25(f25(f65(x8474),x8477),x8472)) % 1.58/1.66 [926]~P24(f25(x9264,x9266))+~P24(f25(f25(f65(x9261),x9266),f25(x9263,x9267)))+~P24(f25(f25(f65(x9265),x9267),x9262))+P24(f25(f25(f65(x9261),f12(x9262,x9263,x9264,x9265,x9261)),f32(x9262,x9263,x9265,f69(x9261,a1)))) % 1.58/1.66 [956]E(f33(f19(x9561,f33(f19(x9562,x9563,x9564,x9565,x9566),x9567,x9566,x9565),x9565,x9568,x9566),x9567,x9566,x9568),f33(f19(f33(f19(x9561,x9562,x9565,x9568,x9564),x9569,x9564,x9568),x9563,x9564,x9568,x9566),x9567,x9566,x9568))+~P24(f25(f25(f65(f69(x9564,x9565)),x9562),f37(x9569,f28(x95610,f69(x9565,a1),x9564),x9564,x9565)))+~P24(f25(f25(f65(f69(x9566,x9564)),x9563),f37(x9567,f28(x9569,f69(x9564,a1),x9566),x9566,x9564)))+~P24(f25(f25(f65(f69(x9565,x9568)),x9561),f37(x95610,f28(x95611,f69(x9568,a1),x9565),x9565,x9568))) % 1.58/1.66 [866]E(x8661,x8662)+E(x8663,x8662)+P24(f25(f25(f65(f71(a66,a66)),f54(x8662,x8661,a66,a66)),f22(x8664,x8663,x8662)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8663,x8661,a66,a66)),x8664))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8664),a4)) % 1.58/1.66 [867]E(x8671,x8672)+E(x8673,x8672)+P24(f25(f25(f65(f71(a66,a66)),f54(x8672,x8671,a66,a66)),f23(x8674,x8672,x8673)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8673,x8671,a66,a66)),x8674))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8674),a4)) % 1.58/1.66 [868]E(x8681,x8682)+E(x8683,x8682)+P24(f25(f25(f65(f71(a66,a66)),f54(x8683,x8682,a66,a66)),f22(x8684,x8681,x8682)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8683,x8681,a66,a66)),x8684))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8684),a4)) % 1.58/1.66 [869]E(x8691,x8692)+E(x8693,x8692)+P24(f25(f25(f65(f71(a66,a66)),f54(x8693,x8692,a66,a66)),f23(x8694,x8692,x8691)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8693,x8691,a66,a66)),x8694))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8694),a4)) % 1.58/1.66 [870]E(x8701,x8702)+E(x8703,x8701)+P24(f25(f25(f65(f71(a66,a66)),f54(x8703,x8701,a66,a66)),f23(x8704,x8702,x8701)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8703,x8701,a66,a66)),x8704))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8704),a4)) % 1.58/1.66 [872]E(x8721,x8722)+E(x8721,x8723)+P24(f25(f25(f65(f71(a66,a66)),f54(x8722,x8721,a66,a66)),f23(x8724,x8723,x8721)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8722,x8721,a66,a66)),x8724))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8724),a4)) % 1.58/1.66 [873]E(x8731,x8732)+E(x8731,x8733)+P24(f25(f25(f65(f71(a66,a66)),f54(x8731,x8732,a66,a66)),f22(x8734,x8731,x8733)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8731,x8732,a66,a66)),x8734))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8734),a4)) % 1.58/1.66 [743]E(x7431,x7432)+~P10(x7434,x7435,x7433)+E(f30(x7431,x7432,f69(x7433,a1)),f49(f69(x7433,a1)))+~P24(f25(f25(f65(f69(x7433,a1)),x7432),f35(x7434,x7435,x7433)))+~P24(f25(f25(f65(f69(x7433,a1)),x7431),f35(x7434,x7435,x7433))) % 1.58/1.66 [899]~P10(x8995,x8993,x8991)+E(f35(f48(f25(f3(f62(x8991),x8991,x8991,a1),x8992),f49(f69(x8991,a1)),f69(x8991,a1)),x8993,x8991),f35(f48(f25(f3(f62(x8991),x8991,x8991,a1),x8994),f49(f69(x8991,a1)),f69(x8991,a1)),x8993,x8991))+~P24(f25(f25(f65(x8991),x8994),x8995))+~P24(f25(f25(f65(x8991),x8992),x8995))+~P24(f25(f25(f65(f71(x8991,x8991)),f54(x8992,x8994,x8991,x8991)),x8993)) % 1.58/1.66 [908]~P10(x9085,x9084,x9081)+~E(f35(f48(f25(f3(f62(x9081),x9081,x9081,a1),x9082),f49(f69(x9081,a1)),f69(x9081,a1)),x9084,x9081),f35(f48(f25(f3(f62(x9081),x9081,x9081,a1),x9083),f49(f69(x9081,a1)),f69(x9081,a1)),x9084,x9081))+~P24(f25(f25(f65(x9081),x9083),x9085))+~P24(f25(f25(f65(x9081),x9082),x9085))+P24(f25(f25(f65(f71(x9081,x9081)),f54(x9082,x9083,x9081,x9081)),x9084)) % 1.58/1.66 [680]E(x6801,x6802)+~P8(x6803,x6804,x6805,x6806)+~E(f25(x6803,x6801),f25(x6803,x6802))+~P24(f25(f25(f65(x6805),x6802),x6804))+~P24(f25(f25(f65(x6805),x6801),x6804)) % 1.58/1.66 [807]~P10(x8075,x8074,x8071)+~P24(f25(f25(f65(f69(x8071,a1)),x8076),f35(x8075,x8074,x8071)))+~P24(f25(f25(f65(x8071),x8073),x8076))+P24(f25(f25(f65(f71(x8071,x8071)),f54(x8072,x8073,x8071,x8071)),x8074))+~P24(f25(f25(f65(x8071),x8072),x8076)) % 1.58/1.66 [882]E(x8823,x8821)+E(x8821,x8822)+E(x8823,x8822)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8821,x8823,a66,a66)),f23(x8824,x8821,x8822)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8822,x8823,a66,a66)),x8824))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8824),a4)) % 1.58/1.66 [883]E(x8833,x8831)+E(x8831,x8832)+E(x8833,x8832)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8833,x8831,a66,a66)),f22(x8834,x8832,x8831)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8833,x8832,a66,a66)),x8834))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8834),a4)) % 1.58/1.66 [880]E(x8801,x8802)+E(x8803,x8801)+E(x8804,x8801)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8804,x8803,a66,a66)),f22(x8805,x8802,x8801)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8804,x8803,a66,a66)),x8805))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8805),a4)) % 1.58/1.66 [881]E(x8811,x8812)+E(x8813,x8811)+E(x8814,x8811)+~P24(f25(f25(f65(f71(a66,a66)),f54(x8814,x8813,a66,a66)),f23(x8815,x8811,x8812)))+P24(f25(f25(f65(f71(a66,a66)),f54(x8814,x8813,a66,a66)),x8815))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8815),a4)) % 1.58/1.66 [938]E(x9381,x9382)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9382,x9381,a66,a66)),f25(a70,x9384)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9381,x9382,a66,a66)),f25(a70,x9383)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9381,x9382,a66,a66)),f25(x9383,f77(x9384,x9383,x9382,x9381))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9382,x9381,a66,a66)),f25(x9384,f77(x9384,x9383,x9382,x9381))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9384),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9383),a20)) % 1.58/1.66 [939]E(x9391,x9392)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9392,x9391,a66,a66)),f25(a70,x9394)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9391,x9392,a66,a66)),f25(a70,x9393)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9391,x9392,a66,a66)),f25(x9393,f77(x9393,x9394,x9391,x9392))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9392,x9391,a66,a66)),f25(x9394,f77(x9393,x9394,x9391,x9392))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9394),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9393),a20)) % 1.58/1.66 [946]E(x9461,x9462)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9462,x9461,a66,a66)),f25(a70,x9464)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9461,x9462,a66,a66)),f25(a70,x9463)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9462,x9461,a66,a66)),f25(x9464,f77(x9464,x9463,x9462,x9461))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9461,x9462,a66,a66)),f25(x9463,f77(x9464,x9463,x9462,x9461))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9463),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9464),a20)) % 1.58/1.66 [947]E(x9471,x9472)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9472,x9471,a66,a66)),f25(a70,x9474)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9471,x9472,a66,a66)),f25(a70,x9473)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9472,x9471,a66,a66)),f25(x9474,f77(x9473,x9474,x9471,x9472))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9471,x9472,a66,a66)),f25(x9473,f77(x9473,x9474,x9471,x9472))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9473),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9474),a20)) % 1.58/1.66 [874]E(x8744,x8743)+E(x8741,x8742)+E(x8743,x8742)+E(x8744,x8742)+P24(f25(f25(f65(f71(a66,a66)),f54(x8744,x8743,a66,a66)),f22(x8745,x8741,x8742)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8744,x8743,a66,a66)),x8745))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8745),a4)) % 1.58/1.66 [875]E(x8754,x8753)+E(x8751,x8752)+E(x8753,x8751)+E(x8754,x8751)+P24(f25(f25(f65(f71(a66,a66)),f54(x8754,x8753,a66,a66)),f23(x8755,x8751,x8752)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x8754,x8753,a66,a66)),x8755))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x8755),a4)) % 1.58/1.66 [912]E(x9121,x9122)+E(x9123,x9122)+E(x9124,x9123)+P24(f25(f25(f65(f71(a66,a66)),f54(x9124,x9123,a66,a66)),f22(x9125,x9121,x9122)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9124,x9123,a66,a66)),x9125))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9121,x9123,a66,a66)),x9125))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x9125),a4)) % 1.58/1.66 [913]E(x9131,x9132)+E(x9133,x9131)+E(x9134,x9133)+P24(f25(f25(f65(f71(a66,a66)),f54(x9134,x9133,a66,a66)),f23(x9135,x9131,x9132)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9134,x9133,a66,a66)),x9135))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9132,x9133,a66,a66)),x9135))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x9135),a4)) % 1.58/1.66 [914]E(x9141,x9142)+E(x9143,x9142)+E(x9143,x9144)+P24(f25(f25(f65(f71(a66,a66)),f54(x9143,x9144,a66,a66)),f22(x9145,x9141,x9142)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9143,x9144,a66,a66)),x9145))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9143,x9141,a66,a66)),x9145))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x9145),a4)) % 1.58/1.66 [915]E(x9151,x9152)+E(x9153,x9151)+E(x9153,x9154)+P24(f25(f25(f65(f71(a66,a66)),f54(x9153,x9154,a66,a66)),f23(x9155,x9151,x9152)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9153,x9154,a66,a66)),x9155))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9153,x9152,a66,a66)),x9155))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x9155),a4)) % 1.58/1.66 [931]E(x9311,x9312)+E(x9313,x9314)+P24(f25(f25(f65(f71(a66,a66)),f54(x9313,x9314,a66,a66)),f22(x9315,x9311,x9312)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9313,x9314,a66,a66)),x9315))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9311,x9314,a66,a66)),x9315))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9313,x9311,a66,a66)),x9315))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x9315),a4)) % 1.58/1.66 [932]E(x9321,x9322)+E(x9323,x9324)+P24(f25(f25(f65(f71(a66,a66)),f54(x9323,x9324,a66,a66)),f23(x9325,x9321,x9322)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9323,x9324,a66,a66)),x9325))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9322,x9324,a66,a66)),x9325))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9323,x9322,a66,a66)),x9325))+~P24(f25(f25(f65(f69(f71(a66,a66),a1)),x9325),a4)) % 1.58/1.66 [940]~P5(x9403)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9401,x9402,a66,a66)),f25(x9403,x9405)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9401,x9402,a66,a66)),f25(x9403,x9404)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9401,x9402,a66,a66)),f25(x9404,f75(x9401,x9402,x9405,x9404))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9401,x9402,a66,a66)),f25(x9405,f75(x9401,x9402,x9405,x9404))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9405),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9404),a20)) % 1.58/1.66 [941]~P5(x9413)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9411,x9412,a66,a66)),f25(x9413,x9415)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9411,x9412,a66,a66)),f25(x9413,x9414)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9411,x9412,a66,a66)),f25(x9414,f75(x9411,x9412,x9414,x9415))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9411,x9412,a66,a66)),f25(x9415,f75(x9411,x9412,x9414,x9415))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9415),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9414),a20)) % 1.58/1.66 [949]~P5(x9493)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9491,x9492,a66,a66)),f25(x9493,x9495)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9491,x9492,a66,a66)),f25(x9493,x9494)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9491,x9492,a66,a66)),f25(x9494,f75(x9491,x9492,x9495,x9494))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9491,x9492,a66,a66)),f25(x9495,f75(x9491,x9492,x9495,x9494))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9494),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9495),a20)) % 1.58/1.66 [950]~P5(x9503)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9501,x9502,a66,a66)),f25(x9503,x9505)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9501,x9502,a66,a66)),f25(x9503,x9504)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9501,x9502,a66,a66)),f25(x9504,f75(x9501,x9502,x9504,x9505))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9501,x9502,a66,a66)),f25(x9505,f75(x9501,x9502,x9504,x9505))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9504),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9505),a20)) % 1.58/1.66 [852]E(x8521,x8522)+~P10(x8523,x8524,x8525)+~P24(f25(f25(f65(f69(x8525,a1)),x8522),f35(x8523,x8524,x8525)))+~P24(f25(f25(f65(f69(x8525,a1)),x8521),f35(x8523,x8524,x8525)))+~P24(f25(f25(f65(f71(x8525,x8525)),f54(x8527,x8526,x8525,x8525)),x8524))+~P24(f25(f25(f65(x8525),x8526),x8522))+~P24(f25(f25(f65(x8525),x8527),x8521)) % 1.58/1.66 [964]E(x9641,x9642)+E(x9643,x9644)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9641,x9642,a66,a66)),f25(a70,x9646)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9643,x9644,a66,a66)),f25(a70,x9645)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9643,x9644,a66,a66)),f25(x9645,f81(x9646,x9645,x9641,x9643,x9642,x9644))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9641,x9642,a66,a66)),f25(x9646,f81(x9646,x9645,x9641,x9643,x9642,x9644))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9646),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9645),a20)) % 1.58/1.66 [965]E(x9651,x9652)+E(x9653,x9654)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9651,x9652,a66,a66)),f25(a70,x9656)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9653,x9654,a66,a66)),f25(a70,x9655)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9653,x9654,a66,a66)),f25(x9655,f81(x9655,x9656,x9653,x9651,x9654,x9652))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9651,x9652,a66,a66)),f25(x9656,f81(x9655,x9656,x9653,x9651,x9654,x9652))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9656),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9655),a20)) % 1.58/1.66 [969]E(x9691,x9692)+E(x9693,x9694)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9691,x9692,a66,a66)),f25(a70,x9696)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9693,x9694,a66,a66)),f25(a70,x9695)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9691,x9692,a66,a66)),f25(x9696,f81(x9696,x9695,x9691,x9693,x9692,x9694))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9693,x9694,a66,a66)),f25(x9695,f81(x9696,x9695,x9691,x9693,x9692,x9694))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9695),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9696),a20)) % 1.58/1.66 [970]E(x9701,x9702)+E(x9703,x9704)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9701,x9702,a66,a66)),f25(a70,x9706)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9703,x9704,a66,a66)),f25(a70,x9705)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9701,x9702,a66,a66)),f25(x9706,f81(x9705,x9706,x9703,x9701,x9704,x9702))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9703,x9704,a66,a66)),f25(x9705,f81(x9705,x9706,x9703,x9701,x9704,x9702))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9705),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9706),a20)) % 1.58/1.66 [953]E(x9533,x9531)+E(x9531,x9532)+E(x9533,x9532)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9532,x9533,a66,a66)),f25(a70,x9535)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9533,x9531,a66,a66)),f25(a70,x9534)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9533,x9531,a66,a66)),f25(x9534,f80(x9535,x9534,x9532,x9533,x9531))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9532,x9533,a66,a66)),f25(x9535,f80(x9535,x9534,x9532,x9533,x9531))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9535),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9534),a20)) % 1.58/1.66 [954]E(x9543,x9541)+E(x9541,x9542)+E(x9543,x9542)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9541,x9542,a66,a66)),f25(a70,x9545)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9543,x9541,a66,a66)),f25(a70,x9544)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9543,x9541,a66,a66)),f25(x9544,f80(x9544,x9545,x9543,x9541,x9542))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9541,x9542,a66,a66)),f25(x9545,f80(x9544,x9545,x9543,x9541,x9542))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9545),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9544),a20)) % 1.58/1.66 [960]E(x9603,x9601)+E(x9601,x9602)+E(x9603,x9602)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9602,x9603,a66,a66)),f25(a70,x9605)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9603,x9601,a66,a66)),f25(a70,x9604)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9602,x9603,a66,a66)),f25(x9605,f80(x9605,x9604,x9602,x9603,x9601))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9603,x9601,a66,a66)),f25(x9604,f80(x9605,x9604,x9602,x9603,x9601))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9604),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9605),a20)) % 1.58/1.66 [961]E(x9613,x9611)+E(x9611,x9612)+E(x9613,x9612)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9611,x9612,a66,a66)),f25(a70,x9615)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9613,x9611,a66,a66)),f25(a70,x9614)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9611,x9612,a66,a66)),f25(x9615,f80(x9614,x9615,x9613,x9611,x9612))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9613,x9611,a66,a66)),f25(x9614,f80(x9614,x9615,x9613,x9611,x9612))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9614),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9615),a20)) % 1.58/1.66 [966]E(x9664,x9663)+E(x9661,x9662)+E(x9663,x9661)+E(x9664,x9662)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9661,x9662,a66,a66)),f25(a70,x9666)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9664,x9663,a66,a66)),f25(a70,x9665)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9664,x9663,a66,a66)),f25(x9665,f78(x9666,x9665,x9661,x9664,x9662,x9663))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9661,x9662,a66,a66)),f25(x9666,f78(x9666,x9665,x9661,x9664,x9662,x9663))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9666),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9665),a20)) % 1.58/1.66 [967]E(x9674,x9673)+E(x9671,x9672)+E(x9673,x9671)+E(x9674,x9672)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9671,x9672,a66,a66)),f25(a70,x9676)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9674,x9673,a66,a66)),f25(a70,x9675)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9674,x9673,a66,a66)),f25(x9675,f79(x9676,x9675,x9671,x9674,x9672,x9673))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9671,x9672,a66,a66)),f25(x9676,f79(x9676,x9675,x9671,x9674,x9672,x9673))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9676),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9675),a20)) % 1.58/1.66 [968]E(x9684,x9683)+E(x9681,x9682)+E(x9683,x9681)+E(x9684,x9682)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9681,x9682,a66,a66)),f25(a70,x9686)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9684,x9683,a66,a66)),f25(a70,x9685)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9684,x9683,a66,a66)),f25(x9685,f79(x9685,x9686,x9684,x9681,x9683,x9682))))+P24(f25(f25(f65(f71(a66,a66)),f54(x9681,x9682,a66,a66)),f25(x9686,f79(x9685,x9686,x9684,x9681,x9683,x9682))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9686),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9685),a20)) % 1.58/1.66 [971]E(x9714,x9713)+E(x9711,x9712)+E(x9713,x9711)+E(x9714,x9712)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9711,x9712,a66,a66)),f25(a70,x9716)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9714,x9713,a66,a66)),f25(a70,x9715)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9711,x9712,a66,a66)),f25(x9716,f78(x9716,x9715,x9711,x9714,x9712,x9713))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9714,x9713,a66,a66)),f25(x9715,f78(x9716,x9715,x9711,x9714,x9712,x9713))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9715),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9716),a20)) % 1.58/1.66 [972]E(x9724,x9723)+E(x9721,x9722)+E(x9723,x9721)+E(x9724,x9722)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9721,x9722,a66,a66)),f25(a70,x9726)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9724,x9723,a66,a66)),f25(a70,x9725)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9721,x9722,a66,a66)),f25(x9726,f79(x9726,x9725,x9721,x9724,x9722,x9723))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9724,x9723,a66,a66)),f25(x9725,f79(x9726,x9725,x9721,x9724,x9722,x9723))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9725),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9726),a20)) % 1.58/1.66 [973]E(x9734,x9733)+E(x9731,x9732)+E(x9733,x9731)+E(x9734,x9732)+~P24(f25(f25(f65(f71(a66,a66)),f54(x9731,x9732,a66,a66)),f25(a70,x9736)))+P24(f25(f25(f65(f71(a66,a66)),f54(x9734,x9733,a66,a66)),f25(a70,x9735)))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9731,x9732,a66,a66)),f25(x9736,f79(x9735,x9736,x9734,x9731,x9733,x9732))))+~P24(f25(f25(f65(f71(a66,a66)),f54(x9734,x9733,a66,a66)),f25(x9735,f79(x9735,x9736,x9734,x9731,x9733,x9732))))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9735),a20))+~P24(f25(f25(f65(f69(a67,f69(f71(a66,a66),a1))),x9736),a20)) % 1.58/1.66 %EqnAxiom % 1.58/1.66 [1]E(x11,x11) % 1.58/1.66 [2]E(x22,x21)+~E(x21,x22) % 1.58/1.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.58/1.66 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.58/1.66 [5]~E(x51,x52)+E(f25(x51,x53),f25(x52,x53)) % 1.58/1.66 [6]~E(x61,x62)+E(f25(x63,x61),f25(x63,x62)) % 1.58/1.66 [7]~E(x71,x72)+E(f3(x71,x73,x74,x75),f3(x72,x73,x74,x75)) % 1.58/1.66 [8]~E(x81,x82)+E(f3(x83,x81,x84,x85),f3(x83,x82,x84,x85)) % 1.58/1.66 [9]~E(x91,x92)+E(f3(x93,x94,x91,x95),f3(x93,x94,x92,x95)) % 1.58/1.66 [10]~E(x101,x102)+E(f3(x103,x104,x105,x101),f3(x103,x104,x105,x102)) % 1.58/1.66 [11]~E(x111,x112)+E(f49(x111),f49(x112)) % 1.58/1.66 [12]~E(x121,x122)+E(f26(x121,x123),f26(x122,x123)) % 1.58/1.66 [13]~E(x131,x132)+E(f26(x133,x131),f26(x133,x132)) % 1.58/1.66 [14]~E(x141,x142)+E(f69(x141,x143),f69(x142,x143)) % 1.58/1.66 [15]~E(x151,x152)+E(f69(x153,x151),f69(x153,x152)) % 1.58/1.66 [16]~E(x161,x162)+E(f27(x161,x163),f27(x162,x163)) % 1.58/1.66 [17]~E(x171,x172)+E(f27(x173,x171),f27(x173,x172)) % 1.58/1.66 [18]~E(x181,x182)+E(f65(x181),f65(x182)) % 1.58/1.66 [19]~E(x191,x192)+E(f63(x191,x193,x194,x195),f63(x192,x193,x194,x195)) % 1.58/1.66 [20]~E(x201,x202)+E(f63(x203,x201,x204,x205),f63(x203,x202,x204,x205)) % 1.58/1.66 [21]~E(x211,x212)+E(f63(x213,x214,x211,x215),f63(x213,x214,x212,x215)) % 1.58/1.66 [22]~E(x221,x222)+E(f63(x223,x224,x225,x221),f63(x223,x224,x225,x222)) % 1.58/1.66 [23]~E(x231,x232)+E(f71(x231,x233),f71(x232,x233)) % 1.58/1.66 [24]~E(x241,x242)+E(f71(x243,x241),f71(x243,x242)) % 1.58/1.66 [25]~E(x251,x252)+E(f30(x251,x253,x254),f30(x252,x253,x254)) % 1.58/1.66 [26]~E(x261,x262)+E(f30(x263,x261,x264),f30(x263,x262,x264)) % 1.58/1.66 [27]~E(x271,x272)+E(f30(x273,x274,x271),f30(x273,x274,x272)) % 1.58/1.66 [28]~E(x281,x282)+E(f19(x281,x283,x284,x285,x286),f19(x282,x283,x284,x285,x286)) % 1.58/1.66 [29]~E(x291,x292)+E(f19(x293,x291,x294,x295,x296),f19(x293,x292,x294,x295,x296)) % 1.58/1.66 [30]~E(x301,x302)+E(f19(x303,x304,x301,x305,x306),f19(x303,x304,x302,x305,x306)) % 1.58/1.66 [31]~E(x311,x312)+E(f19(x313,x314,x315,x311,x316),f19(x313,x314,x315,x312,x316)) % 1.58/1.66 [32]~E(x321,x322)+E(f19(x323,x324,x325,x326,x321),f19(x323,x324,x325,x326,x322)) % 1.58/1.66 [33]~E(x331,x332)+E(f48(x331,x333,x334),f48(x332,x333,x334)) % 1.58/1.66 [34]~E(x341,x342)+E(f48(x343,x341,x344),f48(x343,x342,x344)) % 1.58/1.66 [35]~E(x351,x352)+E(f48(x353,x354,x351),f48(x353,x354,x352)) % 1.58/1.66 [36]~E(x361,x362)+E(f22(x361,x363,x364),f22(x362,x363,x364)) % 1.58/1.66 [37]~E(x371,x372)+E(f22(x373,x371,x374),f22(x373,x372,x374)) % 1.58/1.66 [38]~E(x381,x382)+E(f22(x383,x384,x381),f22(x383,x384,x382)) % 1.58/1.66 [39]~E(x391,x392)+E(f31(x391,x393,x394),f31(x392,x393,x394)) % 1.58/1.66 [40]~E(x401,x402)+E(f31(x403,x401,x404),f31(x403,x402,x404)) % 1.58/1.66 [41]~E(x411,x412)+E(f31(x413,x414,x411),f31(x413,x414,x412)) % 1.58/1.66 [42]~E(x421,x422)+E(f33(x421,x423,x424,x425),f33(x422,x423,x424,x425)) % 1.58/1.66 [43]~E(x431,x432)+E(f33(x433,x431,x434,x435),f33(x433,x432,x434,x435)) % 1.58/1.66 [44]~E(x441,x442)+E(f33(x443,x444,x441,x445),f33(x443,x444,x442,x445)) % 1.58/1.66 [45]~E(x451,x452)+E(f33(x453,x454,x455,x451),f33(x453,x454,x455,x452)) % 1.58/1.66 [46]~E(x461,x462)+E(f54(x461,x463,x464,x465),f54(x462,x463,x464,x465)) % 1.58/1.66 [47]~E(x471,x472)+E(f54(x473,x471,x474,x475),f54(x473,x472,x474,x475)) % 1.58/1.66 [48]~E(x481,x482)+E(f54(x483,x484,x481,x485),f54(x483,x484,x482,x485)) % 1.58/1.66 [49]~E(x491,x492)+E(f54(x493,x494,x495,x491),f54(x493,x494,x495,x492)) % 1.58/1.66 [50]~E(x501,x502)+E(f62(x501),f62(x502)) % 1.58/1.66 [51]~E(x511,x512)+E(f47(x511,x513),f47(x512,x513)) % 1.58/1.66 [52]~E(x521,x522)+E(f47(x523,x521),f47(x523,x522)) % 1.58/1.66 [53]~E(x531,x532)+E(f28(x531,x533,x534),f28(x532,x533,x534)) % 1.58/1.66 [54]~E(x541,x542)+E(f28(x543,x541,x544),f28(x543,x542,x544)) % 1.58/1.66 [55]~E(x551,x552)+E(f28(x553,x554,x551),f28(x553,x554,x552)) % 1.58/1.66 [56]~E(x561,x562)+E(f64(x561,x563,x564,x565),f64(x562,x563,x564,x565)) % 1.58/1.66 [57]~E(x571,x572)+E(f64(x573,x571,x574,x575),f64(x573,x572,x574,x575)) % 1.58/1.66 [58]~E(x581,x582)+E(f64(x583,x584,x581,x585),f64(x583,x584,x582,x585)) % 1.58/1.66 [59]~E(x591,x592)+E(f64(x593,x594,x595,x591),f64(x593,x594,x595,x592)) % 1.58/1.66 [60]~E(x601,x602)+E(f43(x601,x603,x604,x605,x606),f43(x602,x603,x604,x605,x606)) % 1.58/1.66 [61]~E(x611,x612)+E(f43(x613,x611,x614,x615,x616),f43(x613,x612,x614,x615,x616)) % 1.58/1.66 [62]~E(x621,x622)+E(f43(x623,x624,x621,x625,x626),f43(x623,x624,x622,x625,x626)) % 1.58/1.66 [63]~E(x631,x632)+E(f43(x633,x634,x635,x631,x636),f43(x633,x634,x635,x632,x636)) % 1.58/1.66 [64]~E(x641,x642)+E(f43(x643,x644,x645,x646,x641),f43(x643,x644,x645,x646,x642)) % 1.58/1.66 [65]~E(x651,x652)+E(f42(x651,x653,x654,x655,x656),f42(x652,x653,x654,x655,x656)) % 1.58/1.66 [66]~E(x661,x662)+E(f42(x663,x661,x664,x665,x666),f42(x663,x662,x664,x665,x666)) % 1.58/1.66 [67]~E(x671,x672)+E(f42(x673,x674,x671,x675,x676),f42(x673,x674,x672,x675,x676)) % 1.58/1.66 [68]~E(x681,x682)+E(f42(x683,x684,x685,x681,x686),f42(x683,x684,x685,x682,x686)) % 1.58/1.66 [69]~E(x691,x692)+E(f42(x693,x694,x695,x696,x691),f42(x693,x694,x695,x696,x692)) % 1.58/1.66 [70]~E(x701,x702)+E(f24(x701,x703),f24(x702,x703)) % 1.58/1.66 [71]~E(x711,x712)+E(f24(x713,x711),f24(x713,x712)) % 1.58/1.66 [72]~E(x721,x722)+E(f80(x721,x723,x724,x725,x726),f80(x722,x723,x724,x725,x726)) % 1.58/1.66 [73]~E(x731,x732)+E(f80(x733,x731,x734,x735,x736),f80(x733,x732,x734,x735,x736)) % 1.58/1.66 [74]~E(x741,x742)+E(f80(x743,x744,x741,x745,x746),f80(x743,x744,x742,x745,x746)) % 1.58/1.66 [75]~E(x751,x752)+E(f80(x753,x754,x755,x751,x756),f80(x753,x754,x755,x752,x756)) % 1.58/1.66 [76]~E(x761,x762)+E(f80(x763,x764,x765,x766,x761),f80(x763,x764,x765,x766,x762)) % 1.58/1.66 [77]~E(x771,x772)+E(f51(x771),f51(x772)) % 1.58/1.66 [78]~E(x781,x782)+E(f18(x781,x783,x784,x785),f18(x782,x783,x784,x785)) % 1.58/1.66 [79]~E(x791,x792)+E(f18(x793,x791,x794,x795),f18(x793,x792,x794,x795)) % 1.58/1.66 [80]~E(x801,x802)+E(f18(x803,x804,x801,x805),f18(x803,x804,x802,x805)) % 1.58/1.66 [81]~E(x811,x812)+E(f18(x813,x814,x815,x811),f18(x813,x814,x815,x812)) % 1.58/1.66 [82]~E(x821,x822)+E(f37(x821,x823,x824,x825),f37(x822,x823,x824,x825)) % 1.58/1.66 [83]~E(x831,x832)+E(f37(x833,x831,x834,x835),f37(x833,x832,x834,x835)) % 1.58/1.66 [84]~E(x841,x842)+E(f37(x843,x844,x841,x845),f37(x843,x844,x842,x845)) % 1.58/1.66 [85]~E(x851,x852)+E(f37(x853,x854,x855,x851),f37(x853,x854,x855,x852)) % 1.58/1.66 [86]~E(x861,x862)+E(f45(x861,x863,x864,x865),f45(x862,x863,x864,x865)) % 1.58/1.66 [87]~E(x871,x872)+E(f45(x873,x871,x874,x875),f45(x873,x872,x874,x875)) % 1.58/1.66 [88]~E(x881,x882)+E(f45(x883,x884,x881,x885),f45(x883,x884,x882,x885)) % 1.58/1.66 [89]~E(x891,x892)+E(f45(x893,x894,x895,x891),f45(x893,x894,x895,x892)) % 1.58/1.66 [90]~E(x901,x902)+E(f75(x901,x903,x904,x905),f75(x902,x903,x904,x905)) % 1.58/1.66 [91]~E(x911,x912)+E(f75(x913,x911,x914,x915),f75(x913,x912,x914,x915)) % 1.58/1.66 [92]~E(x921,x922)+E(f75(x923,x924,x921,x925),f75(x923,x924,x922,x925)) % 1.58/1.66 [93]~E(x931,x932)+E(f75(x933,x934,x935,x931),f75(x933,x934,x935,x932)) % 1.58/1.66 [94]~E(x941,x942)+E(f61(x941,x943,x944,x945),f61(x942,x943,x944,x945)) % 1.58/1.66 [95]~E(x951,x952)+E(f61(x953,x951,x954,x955),f61(x953,x952,x954,x955)) % 1.58/1.66 [96]~E(x961,x962)+E(f61(x963,x964,x961,x965),f61(x963,x964,x962,x965)) % 1.58/1.66 [97]~E(x971,x972)+E(f61(x973,x974,x975,x971),f61(x973,x974,x975,x972)) % 1.58/1.66 [98]~E(x981,x982)+E(f34(x981,x983,x984,x985,x986),f34(x982,x983,x984,x985,x986)) % 1.58/1.66 [99]~E(x991,x992)+E(f34(x993,x991,x994,x995,x996),f34(x993,x992,x994,x995,x996)) % 1.58/1.66 [100]~E(x1001,x1002)+E(f34(x1003,x1004,x1001,x1005,x1006),f34(x1003,x1004,x1002,x1005,x1006)) % 1.58/1.66 [101]~E(x1011,x1012)+E(f34(x1013,x1014,x1015,x1011,x1016),f34(x1013,x1014,x1015,x1012,x1016)) % 1.58/1.66 [102]~E(x1021,x1022)+E(f34(x1023,x1024,x1025,x1026,x1021),f34(x1023,x1024,x1025,x1026,x1022)) % 1.58/1.66 [103]~E(x1031,x1032)+E(f23(x1031,x1033,x1034),f23(x1032,x1033,x1034)) % 1.58/1.66 [104]~E(x1041,x1042)+E(f23(x1043,x1041,x1044),f23(x1043,x1042,x1044)) % 1.58/1.66 [105]~E(x1051,x1052)+E(f23(x1053,x1054,x1051),f23(x1053,x1054,x1052)) % 1.58/1.66 [106]~E(x1061,x1062)+E(f10(x1061,x1063,x1064,x1065),f10(x1062,x1063,x1064,x1065)) % 1.58/1.66 [107]~E(x1071,x1072)+E(f10(x1073,x1071,x1074,x1075),f10(x1073,x1072,x1074,x1075)) % 1.58/1.66 [108]~E(x1081,x1082)+E(f10(x1083,x1084,x1081,x1085),f10(x1083,x1084,x1082,x1085)) % 1.58/1.66 [109]~E(x1091,x1092)+E(f10(x1093,x1094,x1095,x1091),f10(x1093,x1094,x1095,x1092)) % 1.58/1.66 [110]~E(x1101,x1102)+E(f77(x1101,x1103,x1104,x1105),f77(x1102,x1103,x1104,x1105)) % 1.58/1.66 [111]~E(x1111,x1112)+E(f77(x1113,x1111,x1114,x1115),f77(x1113,x1112,x1114,x1115)) % 1.58/1.66 [112]~E(x1121,x1122)+E(f77(x1123,x1124,x1121,x1125),f77(x1123,x1124,x1122,x1125)) % 1.58/1.66 [113]~E(x1131,x1132)+E(f77(x1133,x1134,x1135,x1131),f77(x1133,x1134,x1135,x1132)) % 1.58/1.66 [114]~E(x1141,x1142)+E(f39(x1141,x1143,x1144,x1145,x1146),f39(x1142,x1143,x1144,x1145,x1146)) % 1.58/1.66 [115]~E(x1151,x1152)+E(f39(x1153,x1151,x1154,x1155,x1156),f39(x1153,x1152,x1154,x1155,x1156)) % 1.58/1.66 [116]~E(x1161,x1162)+E(f39(x1163,x1164,x1161,x1165,x1166),f39(x1163,x1164,x1162,x1165,x1166)) % 1.58/1.66 [117]~E(x1171,x1172)+E(f39(x1173,x1174,x1175,x1171,x1176),f39(x1173,x1174,x1175,x1172,x1176)) % 1.58/1.66 [118]~E(x1181,x1182)+E(f39(x1183,x1184,x1185,x1186,x1181),f39(x1183,x1184,x1185,x1186,x1182)) % 1.58/1.66 [119]~E(x1191,x1192)+E(f38(x1191,x1193,x1194),f38(x1192,x1193,x1194)) % 1.58/1.66 [120]~E(x1201,x1202)+E(f38(x1203,x1201,x1204),f38(x1203,x1202,x1204)) % 1.58/1.66 [121]~E(x1211,x1212)+E(f38(x1213,x1214,x1211),f38(x1213,x1214,x1212)) % 1.58/1.66 [122]~E(x1221,x1222)+E(f35(x1221,x1223,x1224),f35(x1222,x1223,x1224)) % 1.58/1.66 [123]~E(x1231,x1232)+E(f35(x1233,x1231,x1234),f35(x1233,x1232,x1234)) % 1.58/1.66 [124]~E(x1241,x1242)+E(f35(x1243,x1244,x1241),f35(x1243,x1244,x1242)) % 1.58/1.66 [125]~E(x1251,x1252)+E(f29(x1251,x1253),f29(x1252,x1253)) % 1.58/1.66 [126]~E(x1261,x1262)+E(f29(x1263,x1261),f29(x1263,x1262)) % 1.58/1.66 [127]~E(x1271,x1272)+E(f41(x1271,x1273,x1274,x1275,x1276),f41(x1272,x1273,x1274,x1275,x1276)) % 1.58/1.66 [128]~E(x1281,x1282)+E(f41(x1283,x1281,x1284,x1285,x1286),f41(x1283,x1282,x1284,x1285,x1286)) % 1.58/1.66 [129]~E(x1291,x1292)+E(f41(x1293,x1294,x1291,x1295,x1296),f41(x1293,x1294,x1292,x1295,x1296)) % 1.58/1.66 [130]~E(x1301,x1302)+E(f41(x1303,x1304,x1305,x1301,x1306),f41(x1303,x1304,x1305,x1302,x1306)) % 1.58/1.66 [131]~E(x1311,x1312)+E(f41(x1313,x1314,x1315,x1316,x1311),f41(x1313,x1314,x1315,x1316,x1312)) % 1.58/1.66 [132]~E(x1321,x1322)+E(f5(x1321,x1323,x1324),f5(x1322,x1323,x1324)) % 1.58/1.66 [133]~E(x1331,x1332)+E(f5(x1333,x1331,x1334),f5(x1333,x1332,x1334)) % 1.58/1.66 [134]~E(x1341,x1342)+E(f5(x1343,x1344,x1341),f5(x1343,x1344,x1342)) % 1.58/1.66 [135]~E(x1351,x1352)+E(f55(x1351,x1353,x1354,x1355),f55(x1352,x1353,x1354,x1355)) % 1.58/1.66 [136]~E(x1361,x1362)+E(f55(x1363,x1361,x1364,x1365),f55(x1363,x1362,x1364,x1365)) % 1.58/1.66 [137]~E(x1371,x1372)+E(f55(x1373,x1374,x1371,x1375),f55(x1373,x1374,x1372,x1375)) % 1.58/1.66 [138]~E(x1381,x1382)+E(f55(x1383,x1384,x1385,x1381),f55(x1383,x1384,x1385,x1382)) % 1.58/1.66 [139]~E(x1391,x1392)+E(f76(x1391,x1393,x1394),f76(x1392,x1393,x1394)) % 1.58/1.66 [140]~E(x1401,x1402)+E(f76(x1403,x1401,x1404),f76(x1403,x1402,x1404)) % 1.58/1.66 [141]~E(x1411,x1412)+E(f76(x1413,x1414,x1411),f76(x1413,x1414,x1412)) % 1.58/1.66 [142]~E(x1421,x1422)+E(f52(x1421,x1423,x1424),f52(x1422,x1423,x1424)) % 1.58/1.66 [143]~E(x1431,x1432)+E(f52(x1433,x1431,x1434),f52(x1433,x1432,x1434)) % 1.58/1.66 [144]~E(x1441,x1442)+E(f52(x1443,x1444,x1441),f52(x1443,x1444,x1442)) % 1.58/1.66 [145]~E(x1451,x1452)+E(f21(x1451,x1453),f21(x1452,x1453)) % 1.58/1.66 [146]~E(x1461,x1462)+E(f21(x1463,x1461),f21(x1463,x1462)) % 1.58/1.66 [147]~E(x1471,x1472)+E(f32(x1471,x1473,x1474,x1475),f32(x1472,x1473,x1474,x1475)) % 1.58/1.66 [148]~E(x1481,x1482)+E(f32(x1483,x1481,x1484,x1485),f32(x1483,x1482,x1484,x1485)) % 1.58/1.66 [149]~E(x1491,x1492)+E(f32(x1493,x1494,x1491,x1495),f32(x1493,x1494,x1492,x1495)) % 1.58/1.66 [150]~E(x1501,x1502)+E(f32(x1503,x1504,x1505,x1501),f32(x1503,x1504,x1505,x1502)) % 1.58/1.66 [151]~E(x1511,x1512)+E(f57(x1511,x1513,x1514,x1515),f57(x1512,x1513,x1514,x1515)) % 1.58/1.66 [152]~E(x1521,x1522)+E(f57(x1523,x1521,x1524,x1525),f57(x1523,x1522,x1524,x1525)) % 1.58/1.66 [153]~E(x1531,x1532)+E(f57(x1533,x1534,x1531,x1535),f57(x1533,x1534,x1532,x1535)) % 1.58/1.66 [154]~E(x1541,x1542)+E(f57(x1543,x1544,x1545,x1541),f57(x1543,x1544,x1545,x1542)) % 1.58/1.66 [155]~E(x1551,x1552)+E(f8(x1551,x1553,x1554),f8(x1552,x1553,x1554)) % 1.58/1.66 [156]~E(x1561,x1562)+E(f8(x1563,x1561,x1564),f8(x1563,x1562,x1564)) % 1.58/1.66 [157]~E(x1571,x1572)+E(f8(x1573,x1574,x1571),f8(x1573,x1574,x1572)) % 1.58/1.66 [158]~E(x1581,x1582)+E(f53(x1581,x1583,x1584,x1585),f53(x1582,x1583,x1584,x1585)) % 1.58/1.66 [159]~E(x1591,x1592)+E(f53(x1593,x1591,x1594,x1595),f53(x1593,x1592,x1594,x1595)) % 1.58/1.66 [160]~E(x1601,x1602)+E(f53(x1603,x1604,x1601,x1605),f53(x1603,x1604,x1602,x1605)) % 1.58/1.66 [161]~E(x1611,x1612)+E(f53(x1613,x1614,x1615,x1611),f53(x1613,x1614,x1615,x1612)) % 1.58/1.66 [162]~E(x1621,x1622)+E(f78(x1621,x1623,x1624,x1625,x1626,x1627),f78(x1622,x1623,x1624,x1625,x1626,x1627)) % 1.58/1.66 [163]~E(x1631,x1632)+E(f78(x1633,x1631,x1634,x1635,x1636,x1637),f78(x1633,x1632,x1634,x1635,x1636,x1637)) % 1.58/1.66 [164]~E(x1641,x1642)+E(f78(x1643,x1644,x1641,x1645,x1646,x1647),f78(x1643,x1644,x1642,x1645,x1646,x1647)) % 1.58/1.66 [165]~E(x1651,x1652)+E(f78(x1653,x1654,x1655,x1651,x1656,x1657),f78(x1653,x1654,x1655,x1652,x1656,x1657)) % 1.58/1.66 [166]~E(x1661,x1662)+E(f78(x1663,x1664,x1665,x1666,x1661,x1667),f78(x1663,x1664,x1665,x1666,x1662,x1667)) % 1.58/1.66 [167]~E(x1671,x1672)+E(f78(x1673,x1674,x1675,x1676,x1677,x1671),f78(x1673,x1674,x1675,x1676,x1677,x1672)) % 1.58/1.66 [168]~E(x1681,x1682)+E(f81(x1681,x1683,x1684,x1685,x1686,x1687),f81(x1682,x1683,x1684,x1685,x1686,x1687)) % 1.58/1.66 [169]~E(x1691,x1692)+E(f81(x1693,x1691,x1694,x1695,x1696,x1697),f81(x1693,x1692,x1694,x1695,x1696,x1697)) % 1.58/1.66 [170]~E(x1701,x1702)+E(f81(x1703,x1704,x1701,x1705,x1706,x1707),f81(x1703,x1704,x1702,x1705,x1706,x1707)) % 1.58/1.66 [171]~E(x1711,x1712)+E(f81(x1713,x1714,x1715,x1711,x1716,x1717),f81(x1713,x1714,x1715,x1712,x1716,x1717)) % 1.58/1.66 [172]~E(x1721,x1722)+E(f81(x1723,x1724,x1725,x1726,x1721,x1727),f81(x1723,x1724,x1725,x1726,x1722,x1727)) % 1.58/1.66 [173]~E(x1731,x1732)+E(f81(x1733,x1734,x1735,x1736,x1737,x1731),f81(x1733,x1734,x1735,x1736,x1737,x1732)) % 1.58/1.66 [174]~E(x1741,x1742)+E(f58(x1741,x1743,x1744,x1745,x1746),f58(x1742,x1743,x1744,x1745,x1746)) % 1.58/1.66 [175]~E(x1751,x1752)+E(f58(x1753,x1751,x1754,x1755,x1756),f58(x1753,x1752,x1754,x1755,x1756)) % 1.58/1.66 [176]~E(x1761,x1762)+E(f58(x1763,x1764,x1761,x1765,x1766),f58(x1763,x1764,x1762,x1765,x1766)) % 1.58/1.66 [177]~E(x1771,x1772)+E(f58(x1773,x1774,x1775,x1771,x1776),f58(x1773,x1774,x1775,x1772,x1776)) % 1.58/1.66 [178]~E(x1781,x1782)+E(f58(x1783,x1784,x1785,x1786,x1781),f58(x1783,x1784,x1785,x1786,x1782)) % 1.58/1.66 [179]~E(x1791,x1792)+E(f59(x1791,x1793,x1794),f59(x1792,x1793,x1794)) % 1.58/1.66 [180]~E(x1801,x1802)+E(f59(x1803,x1801,x1804),f59(x1803,x1802,x1804)) % 1.58/1.66 [181]~E(x1811,x1812)+E(f59(x1813,x1814,x1811),f59(x1813,x1814,x1812)) % 1.58/1.66 [182]~E(x1821,x1822)+E(f46(x1821),f46(x1822)) % 1.58/1.66 [183]~E(x1831,x1832)+E(f56(x1831,x1833,x1834),f56(x1832,x1833,x1834)) % 1.58/1.66 [184]~E(x1841,x1842)+E(f56(x1843,x1841,x1844),f56(x1843,x1842,x1844)) % 1.58/1.66 [185]~E(x1851,x1852)+E(f56(x1853,x1854,x1851),f56(x1853,x1854,x1852)) % 1.58/1.66 [186]~E(x1861,x1862)+E(f79(x1861,x1863,x1864,x1865,x1866,x1867),f79(x1862,x1863,x1864,x1865,x1866,x1867)) % 1.58/1.66 [187]~E(x1871,x1872)+E(f79(x1873,x1871,x1874,x1875,x1876,x1877),f79(x1873,x1872,x1874,x1875,x1876,x1877)) % 1.58/1.66 [188]~E(x1881,x1882)+E(f79(x1883,x1884,x1881,x1885,x1886,x1887),f79(x1883,x1884,x1882,x1885,x1886,x1887)) % 1.58/1.66 [189]~E(x1891,x1892)+E(f79(x1893,x1894,x1895,x1891,x1896,x1897),f79(x1893,x1894,x1895,x1892,x1896,x1897)) % 1.58/1.66 [190]~E(x1901,x1902)+E(f79(x1903,x1904,x1905,x1906,x1901,x1907),f79(x1903,x1904,x1905,x1906,x1902,x1907)) % 1.58/1.66 [191]~E(x1911,x1912)+E(f79(x1913,x1914,x1915,x1916,x1917,x1911),f79(x1913,x1914,x1915,x1916,x1917,x1912)) % 1.58/1.66 [192]~E(x1921,x1922)+E(f6(x1921,x1923,x1924),f6(x1922,x1923,x1924)) % 1.58/1.66 [193]~E(x1931,x1932)+E(f6(x1933,x1931,x1934),f6(x1933,x1932,x1934)) % 1.58/1.66 [194]~E(x1941,x1942)+E(f6(x1943,x1944,x1941),f6(x1943,x1944,x1942)) % 1.58/1.66 [195]~E(x1951,x1952)+E(f15(x1951,x1953,x1954),f15(x1952,x1953,x1954)) % 1.58/1.66 [196]~E(x1961,x1962)+E(f15(x1963,x1961,x1964),f15(x1963,x1962,x1964)) % 1.58/1.66 [197]~E(x1971,x1972)+E(f15(x1973,x1974,x1971),f15(x1973,x1974,x1972)) % 1.58/1.66 [198]~E(x1981,x1982)+E(f40(x1981,x1983,x1984,x1985,x1986),f40(x1982,x1983,x1984,x1985,x1986)) % 1.58/1.66 [199]~E(x1991,x1992)+E(f40(x1993,x1991,x1994,x1995,x1996),f40(x1993,x1992,x1994,x1995,x1996)) % 1.58/1.66 [200]~E(x2001,x2002)+E(f40(x2003,x2004,x2001,x2005,x2006),f40(x2003,x2004,x2002,x2005,x2006)) % 1.58/1.66 [201]~E(x2011,x2012)+E(f40(x2013,x2014,x2015,x2011,x2016),f40(x2013,x2014,x2015,x2012,x2016)) % 1.58/1.66 [202]~E(x2021,x2022)+E(f40(x2023,x2024,x2025,x2026,x2021),f40(x2023,x2024,x2025,x2026,x2022)) % 1.58/1.66 [203]~E(x2031,x2032)+E(f36(x2031,x2033,x2034,x2035),f36(x2032,x2033,x2034,x2035)) % 1.58/1.66 [204]~E(x2041,x2042)+E(f36(x2043,x2041,x2044,x2045),f36(x2043,x2042,x2044,x2045)) % 1.58/1.66 [205]~E(x2051,x2052)+E(f36(x2053,x2054,x2051,x2055),f36(x2053,x2054,x2052,x2055)) % 1.58/1.66 [206]~E(x2061,x2062)+E(f36(x2063,x2064,x2065,x2061),f36(x2063,x2064,x2065,x2062)) % 1.58/1.66 [207]~E(x2071,x2072)+E(f12(x2071,x2073,x2074,x2075,x2076),f12(x2072,x2073,x2074,x2075,x2076)) % 1.58/1.66 [208]~E(x2081,x2082)+E(f12(x2083,x2081,x2084,x2085,x2086),f12(x2083,x2082,x2084,x2085,x2086)) % 1.58/1.66 [209]~E(x2091,x2092)+E(f12(x2093,x2094,x2091,x2095,x2096),f12(x2093,x2094,x2092,x2095,x2096)) % 1.58/1.66 [210]~E(x2101,x2102)+E(f12(x2103,x2104,x2105,x2101,x2106),f12(x2103,x2104,x2105,x2102,x2106)) % 1.58/1.66 [211]~E(x2111,x2112)+E(f12(x2113,x2114,x2115,x2116,x2111),f12(x2113,x2114,x2115,x2116,x2112)) % 1.58/1.66 [212]~E(x2121,x2122)+E(f7(x2121,x2123,x2124),f7(x2122,x2123,x2124)) % 1.58/1.66 [213]~E(x2131,x2132)+E(f7(x2133,x2131,x2134),f7(x2133,x2132,x2134)) % 1.58/1.66 [214]~E(x2141,x2142)+E(f7(x2143,x2144,x2141),f7(x2143,x2144,x2142)) % 1.58/1.66 [215]~E(x2151,x2152)+E(f17(x2151,x2153,x2154),f17(x2152,x2153,x2154)) % 1.58/1.66 [216]~E(x2161,x2162)+E(f17(x2163,x2161,x2164),f17(x2163,x2162,x2164)) % 1.58/1.66 [217]~E(x2171,x2172)+E(f17(x2173,x2174,x2171),f17(x2173,x2174,x2172)) % 1.58/1.66 [218]~E(x2181,x2182)+E(f44(x2181,x2183,x2184,x2185,x2186),f44(x2182,x2183,x2184,x2185,x2186)) % 1.58/1.66 [219]~E(x2191,x2192)+E(f44(x2193,x2191,x2194,x2195,x2196),f44(x2193,x2192,x2194,x2195,x2196)) % 1.58/1.66 [220]~E(x2201,x2202)+E(f44(x2203,x2204,x2201,x2205,x2206),f44(x2203,x2204,x2202,x2205,x2206)) % 1.58/1.66 [221]~E(x2211,x2212)+E(f44(x2213,x2214,x2215,x2211,x2216),f44(x2213,x2214,x2215,x2212,x2216)) % 1.58/1.66 [222]~E(x2221,x2222)+E(f44(x2223,x2224,x2225,x2226,x2221),f44(x2223,x2224,x2225,x2226,x2222)) % 1.58/1.66 [223]~E(x2231,x2232)+E(f14(x2231,x2233,x2234,x2235,x2236),f14(x2232,x2233,x2234,x2235,x2236)) % 1.58/1.66 [224]~E(x2241,x2242)+E(f14(x2243,x2241,x2244,x2245,x2246),f14(x2243,x2242,x2244,x2245,x2246)) % 1.58/1.66 [225]~E(x2251,x2252)+E(f14(x2253,x2254,x2251,x2255,x2256),f14(x2253,x2254,x2252,x2255,x2256)) % 1.58/1.66 [226]~E(x2261,x2262)+E(f14(x2263,x2264,x2265,x2261,x2266),f14(x2263,x2264,x2265,x2262,x2266)) % 1.58/1.66 [227]~E(x2271,x2272)+E(f14(x2273,x2274,x2275,x2276,x2271),f14(x2273,x2274,x2275,x2276,x2272)) % 1.58/1.66 [228]~E(x2281,x2282)+E(f11(x2281,x2283,x2284,x2285),f11(x2282,x2283,x2284,x2285)) % 1.58/1.66 [229]~E(x2291,x2292)+E(f11(x2293,x2291,x2294,x2295),f11(x2293,x2292,x2294,x2295)) % 1.58/1.66 [230]~E(x2301,x2302)+E(f11(x2303,x2304,x2301,x2305),f11(x2303,x2304,x2302,x2305)) % 1.58/1.66 [231]~E(x2311,x2312)+E(f11(x2313,x2314,x2315,x2311),f11(x2313,x2314,x2315,x2312)) % 1.58/1.66 [232]~E(x2321,x2322)+E(f74(x2321,x2323),f74(x2322,x2323)) % 1.58/1.66 [233]~E(x2331,x2332)+E(f74(x2333,x2331),f74(x2333,x2332)) % 1.58/1.66 [234]~E(x2341,x2342)+E(f50(x2341,x2343,x2344,x2345),f50(x2342,x2343,x2344,x2345)) % 1.58/1.66 [235]~E(x2351,x2352)+E(f50(x2353,x2351,x2354,x2355),f50(x2353,x2352,x2354,x2355)) % 1.58/1.66 [236]~E(x2361,x2362)+E(f50(x2363,x2364,x2361,x2365),f50(x2363,x2364,x2362,x2365)) % 1.58/1.66 [237]~E(x2371,x2372)+E(f50(x2373,x2374,x2375,x2371),f50(x2373,x2374,x2375,x2372)) % 1.58/1.66 [238]~E(x2381,x2382)+E(f13(x2381,x2383,x2384,x2385),f13(x2382,x2383,x2384,x2385)) % 1.58/1.66 [239]~E(x2391,x2392)+E(f13(x2393,x2391,x2394,x2395),f13(x2393,x2392,x2394,x2395)) % 1.58/1.66 [240]~E(x2401,x2402)+E(f13(x2403,x2404,x2401,x2405),f13(x2403,x2404,x2402,x2405)) % 1.58/1.66 [241]~E(x2411,x2412)+E(f13(x2413,x2414,x2415,x2411),f13(x2413,x2414,x2415,x2412)) % 1.58/1.66 [242]~E(x2421,x2422)+E(f60(x2421,x2423,x2424),f60(x2422,x2423,x2424)) % 1.58/1.66 [243]~E(x2431,x2432)+E(f60(x2433,x2431,x2434),f60(x2433,x2432,x2434)) % 1.58/1.66 [244]~E(x2441,x2442)+E(f60(x2443,x2444,x2441),f60(x2443,x2444,x2442)) % 1.58/1.66 [245]~E(x2451,x2452)+E(f16(x2451,x2453,x2454),f16(x2452,x2453,x2454)) % 1.58/1.66 [246]~E(x2461,x2462)+E(f16(x2463,x2461,x2464),f16(x2463,x2462,x2464)) % 1.58/1.66 [247]~E(x2471,x2472)+E(f16(x2473,x2474,x2471),f16(x2473,x2474,x2472)) % 1.58/1.66 [248]~E(x2481,x2482)+E(f9(x2481,x2483,x2484),f9(x2482,x2483,x2484)) % 1.58/1.66 [249]~E(x2491,x2492)+E(f9(x2493,x2491,x2494),f9(x2493,x2492,x2494)) % 1.58/1.66 [250]~E(x2501,x2502)+E(f9(x2503,x2504,x2501),f9(x2503,x2504,x2502)) % 1.58/1.66 [251]~P1(x2511)+P1(x2512)+~E(x2511,x2512) % 1.58/1.66 [252]P11(x2522,x2523,x2524,x2525,x2526,x2527,x2528,x2529,x25210)+~E(x2521,x2522)+~P11(x2521,x2523,x2524,x2525,x2526,x2527,x2528,x2529,x25210) % 1.58/1.66 [253]P11(x2533,x2532,x2534,x2535,x2536,x2537,x2538,x2539,x25310)+~E(x2531,x2532)+~P11(x2533,x2531,x2534,x2535,x2536,x2537,x2538,x2539,x25310) % 1.58/1.66 [254]P11(x2543,x2544,x2542,x2545,x2546,x2547,x2548,x2549,x25410)+~E(x2541,x2542)+~P11(x2543,x2544,x2541,x2545,x2546,x2547,x2548,x2549,x25410) % 1.58/1.66 [255]P11(x2553,x2554,x2555,x2552,x2556,x2557,x2558,x2559,x25510)+~E(x2551,x2552)+~P11(x2553,x2554,x2555,x2551,x2556,x2557,x2558,x2559,x25510) % 1.58/1.66 [256]P11(x2563,x2564,x2565,x2566,x2562,x2567,x2568,x2569,x25610)+~E(x2561,x2562)+~P11(x2563,x2564,x2565,x2566,x2561,x2567,x2568,x2569,x25610) % 1.58/1.66 [257]P11(x2573,x2574,x2575,x2576,x2577,x2572,x2578,x2579,x25710)+~E(x2571,x2572)+~P11(x2573,x2574,x2575,x2576,x2577,x2571,x2578,x2579,x25710) % 1.58/1.66 [258]P11(x2583,x2584,x2585,x2586,x2587,x2588,x2582,x2589,x25810)+~E(x2581,x2582)+~P11(x2583,x2584,x2585,x2586,x2587,x2588,x2581,x2589,x25810) % 1.58/1.66 [259]P11(x2593,x2594,x2595,x2596,x2597,x2598,x2599,x2592,x25910)+~E(x2591,x2592)+~P11(x2593,x2594,x2595,x2596,x2597,x2598,x2599,x2591,x25910) % 1.58/1.66 [260]P11(x2603,x2604,x2605,x2606,x2607,x2608,x2609,x26010,x2602)+~E(x2601,x2602)+~P11(x2603,x2604,x2605,x2606,x2607,x2608,x2609,x26010,x2601) % 1.58/1.66 [261]~P2(x2611)+P2(x2612)+~E(x2611,x2612) % 1.58/1.66 [262]~P24(x2621)+P24(x2622)+~E(x2621,x2622) % 1.58/1.66 [263]~P16(x2631)+P16(x2632)+~E(x2631,x2632) % 1.58/1.66 [264]P7(x2642,x2643,x2644)+~E(x2641,x2642)+~P7(x2641,x2643,x2644) % 1.58/1.66 [265]P7(x2653,x2652,x2654)+~E(x2651,x2652)+~P7(x2653,x2651,x2654) % 1.58/1.66 [266]P7(x2663,x2664,x2662)+~E(x2661,x2662)+~P7(x2663,x2664,x2661) % 1.58/1.66 [267]~P17(x2671)+P17(x2672)+~E(x2671,x2672) % 1.58/1.66 [268]P8(x2682,x2683,x2684,x2685)+~E(x2681,x2682)+~P8(x2681,x2683,x2684,x2685) % 1.58/1.66 [269]P8(x2693,x2692,x2694,x2695)+~E(x2691,x2692)+~P8(x2693,x2691,x2694,x2695) % 1.58/1.66 [270]P8(x2703,x2704,x2702,x2705)+~E(x2701,x2702)+~P8(x2703,x2704,x2701,x2705) % 1.58/1.66 [271]P8(x2713,x2714,x2715,x2712)+~E(x2711,x2712)+~P8(x2713,x2714,x2715,x2711) % 1.58/1.66 [272]~P3(x2721)+P3(x2722)+~E(x2721,x2722) % 1.58/1.66 [273]~P22(x2731)+P22(x2732)+~E(x2731,x2732) % 1.58/1.66 [274]~P15(x2741)+P15(x2742)+~E(x2741,x2742) % 1.58/1.66 [275]~P4(x2751)+P4(x2752)+~E(x2751,x2752) % 1.58/1.66 [276]~P23(x2761)+P23(x2762)+~E(x2761,x2762) % 1.58/1.66 [277]P12(x2772,x2773,x2774,x2775,x2776)+~E(x2771,x2772)+~P12(x2771,x2773,x2774,x2775,x2776) % 1.58/1.66 [278]P12(x2783,x2782,x2784,x2785,x2786)+~E(x2781,x2782)+~P12(x2783,x2781,x2784,x2785,x2786) % 1.58/1.66 [279]P12(x2793,x2794,x2792,x2795,x2796)+~E(x2791,x2792)+~P12(x2793,x2794,x2791,x2795,x2796) % 1.58/1.66 [280]P12(x2803,x2804,x2805,x2802,x2806)+~E(x2801,x2802)+~P12(x2803,x2804,x2805,x2801,x2806) % 1.58/1.66 [281]P12(x2813,x2814,x2815,x2816,x2812)+~E(x2811,x2812)+~P12(x2813,x2814,x2815,x2816,x2811) % 1.58/1.66 [282]P10(x2822,x2823,x2824)+~E(x2821,x2822)+~P10(x2821,x2823,x2824) % 1.58/1.66 [283]P10(x2833,x2832,x2834)+~E(x2831,x2832)+~P10(x2833,x2831,x2834) % 1.58/1.66 [284]P10(x2843,x2844,x2842)+~E(x2841,x2842)+~P10(x2843,x2844,x2841) % 1.58/1.66 [285]~P18(x2851)+P18(x2852)+~E(x2851,x2852) % 1.58/1.66 [286]~P19(x2861)+P19(x2862)+~E(x2861,x2862) % 1.58/1.66 [287]P13(x2872,x2873,x2874,x2875)+~E(x2871,x2872)+~P13(x2871,x2873,x2874,x2875) % 1.58/1.66 [288]P13(x2883,x2882,x2884,x2885)+~E(x2881,x2882)+~P13(x2883,x2881,x2884,x2885) % 1.58/1.66 [289]P13(x2893,x2894,x2892,x2895)+~E(x2891,x2892)+~P13(x2893,x2894,x2891,x2895) % 1.58/1.66 [290]P13(x2903,x2904,x2905,x2902)+~E(x2901,x2902)+~P13(x2903,x2904,x2905,x2901) % 1.58/1.66 [291]~P14(x2911)+P14(x2912)+~E(x2911,x2912) % 1.58/1.66 [292]~P20(x2921)+P20(x2922)+~E(x2921,x2922) % 1.58/1.66 [293]~P5(x2931)+P5(x2932)+~E(x2931,x2932) % 1.58/1.66 [294]~P6(x2941)+P6(x2942)+~E(x2941,x2942) % 1.58/1.66 [295]P9(x2952,x2953,x2954,x2955,x2956,x2957)+~E(x2951,x2952)+~P9(x2951,x2953,x2954,x2955,x2956,x2957) % 1.58/1.66 [296]P9(x2963,x2962,x2964,x2965,x2966,x2967)+~E(x2961,x2962)+~P9(x2963,x2961,x2964,x2965,x2966,x2967) % 1.58/1.66 [297]P9(x2973,x2974,x2972,x2975,x2976,x2977)+~E(x2971,x2972)+~P9(x2973,x2974,x2971,x2975,x2976,x2977) % 1.58/1.66 [298]P9(x2983,x2984,x2985,x2982,x2986,x2987)+~E(x2981,x2982)+~P9(x2983,x2984,x2985,x2981,x2986,x2987) % 1.58/1.66 [299]P9(x2993,x2994,x2995,x2996,x2992,x2997)+~E(x2991,x2992)+~P9(x2993,x2994,x2995,x2996,x2991,x2997) % 1.58/1.66 [300]P9(x3003,x3004,x3005,x3006,x3007,x3002)+~E(x3001,x3002)+~P9(x3003,x3004,x3005,x3006,x3007,x3001) % 1.58/1.66 [301]~P21(x3011)+P21(x3012)+~E(x3011,x3012) % 1.58/1.66 % 1.58/1.66 %------------------------------------------- % 1.58/1.66 cnf(1007,plain, % 1.58/1.66 (~P10(x10071,x10072,x10073)+~P24(f25(f25(f65(x10073),x10074),x10071))+P24(f25(f25(f65(f71(x10073,x10073)),f54(x10074,x10074,x10073,x10073)),x10072))), % 1.58/1.66 inference(equality_inference,[],[916])). % 1.58/1.66 cnf(1061,plain, % 1.58/1.66 (E(f63(f2(x10611),x10612,x10611,x10611),x10612)), % 1.58/1.66 inference(rename_variables,[],[361])). % 1.58/1.66 cnf(1066,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x10661,x10662)),f33(x10663,x10664,x10661,x10662)),f38(x10664,x10661,x10662)))), % 1.58/1.66 inference(rename_variables,[],[424])). % 1.58/1.66 cnf(1069,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x10691,x10692)),f33(x10693,x10694,x10691,x10692)),f38(x10694,x10691,x10692)))), % 1.58/1.66 inference(rename_variables,[],[424])). % 1.58/1.66 cnf(1076,plain, % 1.58/1.66 (~P24(f25(f25(f65(x10761),x10762),f49(f69(x10761,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1088,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x10881,a1)),x10882),f26(x10882,x10881)))), % 1.58/1.66 inference(rename_variables,[],[375])). % 1.58/1.66 cnf(1095,plain, % 1.58/1.66 (~P24(f25(f49(f69(x10951,a1)),x10952))), % 1.58/1.66 inference(rename_variables,[],[461])). % 1.58/1.66 cnf(1106,plain, % 1.58/1.66 (~P24(f25(f25(f65(x11061),x11062),f49(f69(x11061,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1117,plain, % 1.58/1.66 (~P24(f25(f25(f65(x11171),x11172),f49(f69(x11171,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1122,plain, % 1.58/1.66 (P24(f25(f25(f65(x11221),x11222),f51(f69(x11221,a1))))), % 1.58/1.66 inference(rename_variables,[],[354])). % 1.58/1.66 cnf(1127,plain, % 1.58/1.66 (~P24(f25(f25(f65(x11271),x11272),f49(f69(x11271,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1140,plain, % 1.58/1.66 (~E(f48(f25(f3(f62(x11401),x11401,x11401,a1),x11402),x11403,f69(x11401,a1)),f49(f69(x11401,a1)))), % 1.58/1.66 inference(rename_variables,[],[466])). % 1.58/1.66 cnf(1149,plain, % 1.58/1.66 (P7(f30(x11491,x11492,f69(x11493,a1)),x11492,f69(x11493,a1))), % 1.58/1.66 inference(rename_variables,[],[357])). % 1.58/1.66 cnf(1155,plain, % 1.58/1.66 (P7(x11551,f48(x11552,x11551,f69(x11553,a1)),f69(x11553,a1))), % 1.58/1.66 inference(rename_variables,[],[355])). % 1.58/1.66 cnf(1158,plain, % 1.58/1.66 (P7(x11581,f48(x11582,x11581,f69(x11583,a1)),f69(x11583,a1))), % 1.58/1.66 inference(rename_variables,[],[355])). % 1.58/1.66 cnf(1165,plain, % 1.58/1.66 (P7(x11651,x11651,f69(x11652,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1168,plain, % 1.58/1.66 (P7(x11681,x11681,f69(x11682,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1173,plain, % 1.58/1.66 (P7(x11731,x11731,f69(x11732,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1185,plain, % 1.58/1.66 (~P24(f25(f25(f65(x11851),x11852),f49(f69(x11851,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1191,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x11911,x11912)),f33(x11913,x11914,x11911,x11912)),f38(x11914,x11911,x11912)))), % 1.58/1.66 inference(rename_variables,[],[424])). % 1.58/1.66 cnf(1194,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x11941,a1)),x11942),f26(x11942,x11941)))), % 1.58/1.66 inference(rename_variables,[],[375])). % 1.58/1.66 cnf(1197,plain, % 1.58/1.66 (~P24(f25(f25(f65(x11971),x11972),f49(f69(x11971,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1200,plain, % 1.58/1.66 (P8(f2(x12001),x12002,x12001,x12001)), % 1.58/1.66 inference(rename_variables,[],[360])). % 1.58/1.66 cnf(1205,plain, % 1.58/1.66 (P24(f25(f25(f65(x12051),x12052),f48(f25(f3(f62(x12051),x12051,x12051,a1),x12052),x12053,f69(x12051,a1))))), % 1.58/1.66 inference(rename_variables,[],[442])). % 1.58/1.66 cnf(1208,plain, % 1.58/1.66 (P24(f25(f25(f65(x12081),x12082),f48(f25(f3(f62(x12081),x12081,x12081,a1),x12082),x12083,f69(x12081,a1))))), % 1.58/1.66 inference(rename_variables,[],[442])). % 1.58/1.66 cnf(1211,plain, % 1.58/1.66 (~P24(f25(f25(f65(x12111),x12112),f49(f69(x12111,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1214,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12141,a1)),x12142),f26(x12142,x12141)))), % 1.58/1.66 inference(rename_variables,[],[375])). % 1.58/1.66 cnf(1215,plain, % 1.58/1.66 (~P24(f25(f25(f65(x12151),x12152),f49(f69(x12151,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1218,plain, % 1.58/1.66 (E(f63(f2(x12181),x12182,x12181,x12181),x12182)), % 1.58/1.66 inference(rename_variables,[],[361])). % 1.58/1.66 cnf(1220,plain, % 1.58/1.66 (P24(f25(f25(f65(x12201),x12202),f48(f25(f3(f62(x12201),x12201,x12201,a1),x12202),x12203,f69(x12201,a1))))), % 1.58/1.66 inference(rename_variables,[],[442])). % 1.58/1.66 cnf(1223,plain, % 1.58/1.66 (P24(f25(f25(f65(x12231),x12232),f48(f25(f3(f62(x12231),x12231,x12231,a1),x12232),x12233,f69(x12231,a1))))), % 1.58/1.66 inference(rename_variables,[],[442])). % 1.58/1.66 cnf(1230,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12301,x12302)),f33(x12303,x12304,x12301,x12302)),f38(x12304,x12301,x12302)))), % 1.58/1.66 inference(rename_variables,[],[424])). % 1.58/1.66 cnf(1234,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12341,a1)),x12342),f26(x12342,x12341)))), % 1.58/1.66 inference(rename_variables,[],[375])). % 1.58/1.66 cnf(1237,plain, % 1.58/1.66 (P8(f2(x12371),x12372,x12371,x12371)), % 1.58/1.66 inference(rename_variables,[],[360])). % 1.58/1.66 cnf(1240,plain, % 1.58/1.66 (P7(x12401,x12401,f69(x12402,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1249,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12491,x12491)),f2(x12491)),f37(x12492,f28(x12492,f69(x12491,a1),x12491),x12491,x12491)))), % 1.58/1.66 inference(rename_variables,[],[418])). % 1.58/1.66 cnf(1252,plain, % 1.58/1.66 (P7(x12521,x12521,f69(x12522,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1261,plain, % 1.58/1.66 (P8(f2(x12611),x12612,x12611,x12611)), % 1.58/1.66 inference(rename_variables,[],[360])). % 1.58/1.66 cnf(1271,plain, % 1.58/1.66 (~P24(f25(f25(f65(f71(a66,a66)),f54(x12711,x12712,a66,a66)),f21(x12713,x12712)))), % 1.58/1.66 inference(rename_variables,[],[467])). % 1.58/1.66 cnf(1274,plain, % 1.58/1.66 (~P24(f25(f25(f65(f71(a66,a66)),f54(x12741,x12742,a66,a66)),f21(x12743,x12742)))), % 1.58/1.66 inference(rename_variables,[],[467])). % 1.58/1.66 cnf(1277,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12771,x12772)),f33(f45(x12773,x12774,x12772,x12771),f63(x12774,x12773,x12772,x12771),x12771,x12772)),f37(f63(x12774,x12773,x12772,x12771),f28(x12773,f69(x12772,a1),x12771),x12771,x12772)))), % 1.58/1.66 inference(rename_variables,[],[458])). % 1.58/1.66 cnf(1278,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12781,x12782)),f33(x12783,x12784,x12781,x12782)),f38(x12784,x12781,x12782)))), % 1.58/1.66 inference(rename_variables,[],[424])). % 1.58/1.66 cnf(1281,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12811,x12812)),f33(f45(x12813,x12814,x12812,x12811),f63(x12814,x12813,x12812,x12811),x12811,x12812)),f37(f63(x12814,x12813,x12812,x12811),f28(x12813,f69(x12812,a1),x12811),x12811,x12812)))), % 1.58/1.66 inference(rename_variables,[],[458])). % 1.58/1.66 cnf(1282,plain, % 1.58/1.66 (P24(f25(f25(f65(f69(x12821,x12822)),f33(x12823,x12824,x12821,x12822)),f38(x12824,x12821,x12822)))), % 1.58/1.66 inference(rename_variables,[],[424])). % 1.58/1.66 cnf(1286,plain, % 1.58/1.66 (P7(x12861,x12861,f69(x12862,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1293,plain, % 1.58/1.66 (~P24(f25(f25(f65(x12931),x12932),f49(f69(x12931,a1))))), % 1.58/1.66 inference(rename_variables,[],[464])). % 1.58/1.66 cnf(1296,plain, % 1.58/1.66 (E(f63(f2(x12961),x12962,x12961,x12961),x12962)), % 1.58/1.66 inference(rename_variables,[],[361])). % 1.58/1.66 cnf(1298,plain, % 1.58/1.66 (P7(x12981,x12981,f69(x12982,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1300,plain, % 1.58/1.66 (P7(x13001,x13001,f69(x13002,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1303,plain, % 1.58/1.66 (P8(f2(x13031),x13032,x13031,x13031)), % 1.58/1.66 inference(rename_variables,[],[360])). % 1.58/1.66 cnf(1305,plain, % 1.58/1.66 (P8(f2(x13051),x13052,x13051,x13051)), % 1.58/1.66 inference(rename_variables,[],[360])). % 1.58/1.66 cnf(1307,plain, % 1.58/1.66 (E(f31(f31(x13071,f48(f25(f3(f62(x13072),x13072,x13072,a1),x13073),f49(f69(x13072,a1)),f69(x13072,a1)),f69(x13072,a1)),x13074,f69(x13072,a1)),f31(x13071,f48(f25(f3(f62(x13072),x13072,x13072,a1),x13073),x13074,f69(x13072,a1)),f69(x13072,a1)))), % 1.58/1.66 inference(rename_variables,[],[453])). % 1.58/1.66 cnf(1327,plain, % 1.58/1.66 (P7(x13271,x13271,f69(x13272,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1333,plain, % 1.58/1.66 (P9(x13331,x13332,f49(f69(x13333,a1)),x13332,x13333,x13334)), % 1.58/1.66 inference(rename_variables,[],[448])). % 1.58/1.66 cnf(1335,plain, % 1.58/1.66 (P9(x13351,x13352,f49(f69(x13353,a1)),x13352,x13353,x13354)), % 1.58/1.66 inference(rename_variables,[],[448])). % 1.58/1.66 cnf(1340,plain, % 1.58/1.66 (P7(x13401,x13401,f69(x13402,a1))), % 1.58/1.66 inference(rename_variables,[],[328])). % 1.58/1.66 cnf(1345,plain, % 1.58/1.66 (~P24(f25(f25(f65(f71(a66,a66)),f54(x13451,x13452,a66,a66)),f21(x13453,x13452)))), % 1.58/1.66 inference(rename_variables,[],[467])). % 1.58/1.66 cnf(1359,plain, % 1.58/1.66 (~E(f48(f25(f3(f62(x13591),x13591,x13591,a1),x13592),x13593,f69(x13591,a1)),f49(f69(x13591,a1)))), % 1.58/1.66 inference(rename_variables,[],[466])). % 1.58/1.66 cnf(1371,plain, % 1.58/1.66 ($false), % 1.58/1.66 inference(scs_inference,[],[471,424,1066,1069,1191,1230,1278,1282,375,1088,1194,1214,1234,467,1271,1274,1345,332,442,1205,1208,1220,1223,439,354,1122,464,1076,1106,1117,1127,1185,1197,1211,1215,1293,461,1095,458,1277,1281,418,1249,408,455,387,388,360,1200,1237,1261,1303,1305,448,1333,1335,328,1165,1168,1173,1240,1252,1286,1298,1300,1327,1340,355,1155,1158,357,1149,335,302,306,308,314,316,456,402,361,1061,1218,1296,453,1307,399,401,363,466,1140,1359,460,767,520,540,627,639,640,641,649,744,745,746,747,754,758,786,787,797,812,817,837,845,850,892,893,501,632,646,647,660,685,692,700,707,717,723,730,737,738,739,740,761,790,794,795,808,818,819,851,859,860,862,863,924,925,929,944,2,537,545,547,554,558,607,608,609,610,614,616,643,644,732,735,742,766,809,542,601,642,696,697,716,783,804,824,825,937,979,262,565,566,628,666,687,689,702,714,731,759,760,785,791,802,803,815,831,838,839,841,857,858,889,890,898,951,1007,3,264,265,269,270,271,532,560,568,570,572,574,597,715,757,292,295,296,298,299,575,865,878,879,943,555,556,870,873,662,671,698,705,801]), % 1.58/1.66 ['proof']). % 1.58/1.66 % SZS output end Proof % 1.58/1.66 % Total time :0.730000s %------------------------------------------------------------------------------