%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT094-1 : 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 : n001.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 14:11:44 EDT 2024 % Result : Unsatisfiable 1.50s 1.52s % Output : CNFRefutation 1.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SCT094-1 : TPTP v8.2.0. Released v4.1.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.14/0.35 % Computer : n001.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Sat Jun 22 10:01:39 EDT 2024 % 0.14/0.35 % CPUTime : % 0.48/0.63 start to proof:theBenchmark % 1.41/1.44 %------------------------------------------- % 1.41/1.44 % File :CSE---1.7 % 1.41/1.44 % Problem :theBenchmark % 1.41/1.44 % Transform :cnf % 1.41/1.45 % Format :tptp:raw % 1.41/1.45 % Command :java -jar mcs_scs.jar %d %s % 1.41/1.45 % 1.41/1.45 % Result :Theorem 0.210000s % 1.41/1.45 % Output :CNFRefutation 0.210000s % 1.41/1.45 %------------------------------------------- % 1.41/1.45 %------------------------------------------------------------------------------ % 1.41/1.45 % File : SCT094-1 : TPTP v8.2.0. Released v4.1.0. % 1.41/1.45 % Domain : Social Choice Theory % 1.41/1.45 % Problem : Arrow Order 300_3 % 1.41/1.45 % Version : Especial. % 1.41/1.45 % English : Formalization of two proofs of Arrow's impossibility theorem. One % 1.41/1.45 % formalization is based on utility functions, the other one on % 1.41/1.45 % strict partial orders. % 1.41/1.45 % 1.41/1.45 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and % 1.41/1.45 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.41/1.45 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.41/1.45 % Source : [Nip10] % 1.41/1.45 % Names : Arrow_Order-300_37 [Nip10] % 1.41/1.45 % 1.41/1.45 % Status : Unsatisfiable % 1.41/1.45 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0 % 1.41/1.45 % Syntax : Number of clauses : 1345 ( 218 unt; 208 nHn; 804 RR) % 1.41/1.45 % Number of literals : 3682 ( 672 equ;2147 neg) % 1.41/1.45 % Maximal clause size : 6 ( 2 avg) % 1.41/1.45 % Maximal term depth : 15 ( 2 avg) % 1.41/1.45 % Number of predicates : 84 ( 83 usr; 0 prp; 1-6 aty) % 1.41/1.45 % Number of functors : 111 ( 111 usr; 20 con; 0-7 aty) % 1.41/1.45 % Number of variables : 4346 ( 309 sgn) % 1.41/1.45 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.41/1.45 % 1.41/1.45 % Comments : % 1.41/1.45 %------------------------------------------------------------------------------ % 1.41/1.45 cnf(cls_divide__le__0__iff_3,axiom, % 1.41/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.41/1.45 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.45 % 1.41/1.45 cnf(cls_divide__le__0__iff_2,axiom, % 1.41/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.45 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.45 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.45 % 1.41/1.45 cnf(cls_divide__le__0__iff_1,axiom, % 1.41/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.41/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.41/1.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.45 % 1.41/1.45 cnf(cls_divide__le__0__iff_0,axiom, % 1.41/1.45 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.45 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.45 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.45 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.41/1.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.45 % 1.41/1.45 cnf(cls_class__semiring_Oadd__c_0,axiom, % 1.41/1.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.41/1.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ). % 1.41/1.45 % 1.41/1.45 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Int__empty__right_0,axiom, % 1.41/1.46 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)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Int__empty__left_0,axiom, % 1.41/1.46 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)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_inf__bot__left_0,axiom, % 1.41/1.46 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.46 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_inf__bot__right_0,axiom, % 1.41/1.46 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.46 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_sum__squares__ge__zero_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.41/1.46 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_rtrancl__mono_0,axiom, % 1.41/1.46 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.41/1.46 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_zero__le__divide__1__iff_1,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.46 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_zero__le__divide__1__iff_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.46 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_sym__Un_0,axiom, % 1.41/1.46 ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 1.41/1.46 | ~ c_Relation_Osym(V_s,T_a) % 1.41/1.46 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Domain__insert_0,axiom, % 1.41/1.46 c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_subset__Compl__self__eq_1,axiom, % 1.41/1.46 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_insert__code_0,axiom, % 1.41/1.46 ( hBOOL(hAPP(V_A,V_x)) % 1.41/1.46 | V_y = V_x % 1.41/1.46 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_le__add__iff1_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.46 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c),V_d,T_a) % 1.41/1.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_le__add__iff1_1,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.46 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) % 1.41/1.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c),V_d,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_le__add__iff2_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.46 | c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d),T_a) % 1.41/1.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_le__add__iff2_1,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.46 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) % 1.41/1.46 | ~ c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_divide__le__0__iff_5,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.46 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.41/1.46 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_divide__le__0__iff_4,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.46 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.46 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.46 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_power__decreasing_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.41/1.46 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.41/1.46 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.41/1.46 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_insert__absorb2_0,axiom, % 1.41/1.46 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) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_add__eq__inf__sup_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Image__empty_0,axiom, % 1.41/1.46 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)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_le__imp__power__dvd_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.41/1.46 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.41/1.46 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_add__increasing2_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.41/1.46 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.41/1.46 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 1.41/1.46 | ~ c_lessequals(V_b,V_a,T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_add__increasing_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.41/1.46 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.41/1.46 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 1.41/1.46 | ~ c_lessequals(V_b,V_c,T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_insert__inter__insert_0,axiom, % 1.41/1.46 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) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_vimage__singleton__eq_1,axiom, % 1.41/1.46 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))) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_insert__not__empty_0,axiom, % 1.41/1.46 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Un__UNIV__right_0,axiom, % 1.41/1.46 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)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Un__UNIV__left_0,axiom, % 1.41/1.46 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)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_sup__top__left_0,axiom, % 1.41/1.46 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.46 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_sup__top__right_0,axiom, % 1.41/1.46 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.46 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_vimage__UNIV_0,axiom, % 1.41/1.46 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)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_bot__least_0,axiom, % 1.41/1.46 ( ~ class_Orderings_Obot(T_a) % 1.41/1.46 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_empty__subsetI_0,axiom, % 1.41/1.46 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_setsum__eq__0__iff_0,axiom, % 1.41/1.46 ( hAPP(hAPP(c_Finite__Set_Osetsum(T_a,tc_nat),V_f),V_F) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.41/1.46 | ~ c_Finite__Set_Ofinite(V_F,T_a) % 1.41/1.46 | hAPP(V_f,V_x) = c_HOL_Ozero__class_Ozero(tc_nat) % 1.41/1.46 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_F)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_eq__add__iff1_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oring(T_a) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c) = V_d ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_eq__add__iff2_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oring(T_a) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) % 1.41/1.46 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_eq__add__iff2_1,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oring(T_a) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Compl__subset__Compl__iff_1,axiom, % 1.41/1.46 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) % 1.41/1.46 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Compl__subset__Compl__iff_0,axiom, % 1.41/1.46 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.41/1.46 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Compl__anti__mono_0,axiom, % 1.41/1.46 ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) % 1.41/1.46 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_le__imp__neg__le_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.41/1.46 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 1.41/1.46 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_neg__le__iff__le_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.41/1.46 | c_lessequals(V_a,V_b,T_a) % 1.41/1.46 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_setsum__Un__Int_0,axiom, % 1.41/1.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.41/1.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_B)) % 1.41/1.46 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.41/1.46 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_one__le__power_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.41/1.46 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.41/1.46 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_mult__strict__mono_0,axiom, % 1.41/1.46 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.41/1.46 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d))) % 1.41/1.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.41/1.46 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.41/1.46 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d)) % 1.41/1.46 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.41/1.46 % 1.41/1.46 cnf(cls_Un__insert__right_0,axiom, % 1.41/1.46 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) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_Un__insert__left_0,axiom, % 1.41/1.47 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) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_dvd__mult__cancel__left_2,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.47 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.41/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_dvd__mult__cancel__right_2,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.47 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 1.41/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_rtrancl__Un__subset_0,axiom, % 1.41/1.47 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__left__mono__neg_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b),T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) % 1.41/1.47 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.47 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__left__mono_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b),T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.41/1.47 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_eq__add__iff1_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oring(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_le__minus__self__iff_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.47 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_le__minus__self__iff_1,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 1.41/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_minus__le__self__iff_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.41/1.47 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_minus__le__self__iff_1,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__eq__neg__nonpos_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.47 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__eq__neg__nonpos_1,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 1.41/1.47 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_neg__less__eq__nonneg_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.41/1.47 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_neg__less__eq__nonneg_1,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.41/1.47 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_a,T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_zero__le__power_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.41/1.47 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_subset__insertI_0,axiom, % 1.41/1.47 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_power__minus_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oring__1(T_a) % 1.41/1.47 | c_Power_Opower__class_Opower(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_n,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a)),V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_dvd__power_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.41/1.47 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_finite__insert_0,axiom, % 1.41/1.47 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_finite__insert_1,axiom, % 1.41/1.47 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_finite_OemptyI_0,axiom, % 1.41/1.47 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.47 | ~ class_Int_Onumber__ring(T_a) % 1.41/1.47 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 1.41/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__le__eq_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.41/1.47 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__le__eq_6,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.41/1.47 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_le__divide__eq_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.41/1.47 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_le__divide__eq_6,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.41/1.47 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__imp__div__pos__le_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),V_z,T_a) % 1.41/1.47 | ~ c_lessequals(V_x,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__imp__le__div__pos_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | c_lessequals(V_z,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a) % 1.41/1.47 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),V_x,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__less__imp__less__right_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__less__imp__less__left_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__right__less__imp__less_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__left__less__imp__less_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_square__eq__iff_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) % 1.41/1.47 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) % 1.41/1.47 | V_a = V_b ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_right__minus__eq_1,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_diff__0__right_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_diff__self_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.47 | ~ class_Int_Onumber__ring(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_dvd__diff_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.41/1.47 | c_Ring__and__Field_Odvd__class_Odvd(V_x,hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_y),V_z),T_a) % 1.41/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 1.41/1.47 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_finite__Un_2,axiom, % 1.41/1.47 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_finite__UnI_0,axiom, % 1.41/1.47 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_power__commutes_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),V_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_Image__Int__subset_0,axiom, % 1.41/1.47 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)) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_Un__Int__assoc__eq_0,axiom, % 1.41/1.47 ( 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)) % 1.41/1.47 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_Un__Int__assoc__eq_1,axiom, % 1.41/1.47 ( 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)) % 1.41/1.47 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_setprod__dvd__setprod__subset_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Odvd(T_b) % 1.41/1.47 | ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.41/1.47 | c_Ring__and__Field_Odvd__class_Odvd(c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b),c_Finite__Set_Osetprod(V_f,V_B,T_a,T_b),T_b) % 1.41/1.47 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__less__eq_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__less__eq_4,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__less__eq_5,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_divide__less__eq_7,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__divide__eq_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__divide__eq_4,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__divide__eq_5,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__divide__eq_7,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a))),V_m) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.41/1.47 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.41/1.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.41/1.47 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_double__eq__0__iff_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_card__insert__le_0,axiom, % 1.41/1.47 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a),tc_nat) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_diff__divide__distrib_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__add__iff2_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__add__iff2_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__add__iff1_1,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_less__add__iff1_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.41/1.47 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)),V_d)) % 1.41/1.47 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d))) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_setsum__Un__disjoint_0,axiom, % 1.41/1.47 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.41/1.47 | 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)) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.41/1.47 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.41/1.47 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),V_B)) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_mult__eq__0__iff_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_no__zero__divisors_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_no__zero__divirors__neq0_0,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.41/1.47 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.47 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.47 % 1.41/1.47 cnf(cls_eq__divide__eq_4,axiom, % 1.41/1.47 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.41/1.47 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.48 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)),V_c) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_power__less__imp__less__base_0,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.41/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.41/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.41/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a))) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_wf__union__compatible_0,axiom, % 1.41/1.48 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 1.41/1.48 | ~ c_lessequals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.41/1.48 | ~ c_Wellfounded_Owf(V_S,T_a) % 1.41/1.48 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sup1E_0,axiom, % 1.41/1.48 ( hBOOL(hAPP(V_B,V_x)) % 1.41/1.48 | hBOOL(hAPP(V_A,V_x)) % 1.41/1.48 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sup1CI_0,axiom, % 1.41/1.48 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.41/1.48 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sup1CI_1,axiom, % 1.41/1.48 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.41/1.48 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_wf__Un_0,axiom, % 1.41/1.48 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.41/1.48 | ~ c_Wellfounded_Owf(V_s,T_a) % 1.41/1.48 | ~ c_Wellfounded_Owf(V_r,T_a) % 1.41/1.48 | c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 1.41/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.41/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.48 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_minus__unique_0,axiom, % 1.41/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.41/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.48 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_single__valued__rel__comp_0,axiom, % 1.41/1.48 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c) % 1.41/1.48 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c) % 1.41/1.48 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_refl__on__Un_0,axiom, % 1.41/1.48 ( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 1.41/1.48 | ~ c_Relation_Orefl__on(V_B,V_s,T_a) % 1.41/1.48 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Olattice(T_a) % 1.41/1.48 | 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) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Olattice(T_a) % 1.41/1.48 | 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) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_inf__left__commute_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.41/1.48 | 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) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_inf__assoc_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.41/1.48 | 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) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_Int__assoc_0,axiom, % 1.41/1.48 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)) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_Int__left__commute_0,axiom, % 1.41/1.48 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)) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_finite__UNIV__card__ge__0_0,axiom, % 1.41/1.48 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a))) % 1.41/1.48 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.41/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_divide__le__eq_8,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.41/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) % 1.41/1.48 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_le__divide__eq_8,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.41/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.41/1.48 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.41/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.48 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) % 1.41/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.48 | ~ class_Int_Onumber__ring(T_a) % 1.41/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) % 1.41/1.48 | V_y = V_z % 1.41/1.48 | V_w = V_x ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.41/1.48 | ~ class_Int_Onumber__ring(T_a) % 1.41/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) % 1.41/1.48 | V_c = V_d % 1.41/1.48 | V_a = V_b ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_finite__Un_0,axiom, % 1.41/1.48 ( c_Finite__Set_Ofinite(V_F,T_a) % 1.41/1.48 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_finite__Un_1,axiom, % 1.41/1.48 ( c_Finite__Set_Ofinite(V_G,T_a) % 1.41/1.48 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sup__bot__right_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.48 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sup__bot__left_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.48 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_Un__empty__left_0,axiom, % 1.41/1.48 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 ). % 1.41/1.48 % 1.41/1.48 cnf(cls_Un__empty__right_0,axiom, % 1.41/1.48 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 ). % 1.41/1.48 % 1.41/1.48 cnf(cls_add__nonpos__neg_0,axiom, % 1.41/1.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.41/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_add__neg__nonpos_0,axiom, % 1.41/1.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.41/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.41/1.48 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.41/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_refl__reflcl_0,axiom, % 1.41/1.48 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.41/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_inf__eq__top__eq2_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.48 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 1.41/1.48 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_inf__eq__top__eq1_0,axiom, % 1.41/1.48 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.41/1.48 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 1.41/1.48 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_dvd__0__right_0,axiom, % 1.41/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.41/1.48 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_sup__0__imp__0_0,axiom, % 1.41/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.41/1.48 | c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 1.41/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.41/1.48 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.41/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.41/1.48 % 1.41/1.48 cnf(cls_add__frac__eq_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) % 1.50/1.48 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.48 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_divide__eq__eq_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | V_b = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_c) % 1.50/1.48 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_eq__divide__eq_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_c) = V_b % 1.50/1.48 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_wfE__pf_0,axiom, % 1.50/1.48 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.48 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool)) % 1.50/1.48 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Compl__disjoint2_0,axiom, % 1.50/1.48 c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Compl__disjoint_0,axiom, % 1.50/1.48 c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(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)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_compl__inf__bot_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.48 | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_inf__compl__bot_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.48 | c_Lattices_Olower__semilattice__class_Oinf(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Omul__1_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_x) = V_x ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__1_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__1__left_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__1__right_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__strict__increasing_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.48 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c))) % 1.50/1.48 | ~ c_lessequals(V_b,V_c,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_dvdI_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Odvd(T_a) % 1.50/1.48 | c_Ring__and__Field_Odvd__class_Odvd(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_k),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_dvd__triv__left_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_dvd__triv__right_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_wf__induct_1,axiom, % 1.50/1.48 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.48 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a))) % 1.50/1.48 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_frac__less2_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_w))) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_w),V_z)) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w)) % 1.50/1.48 | ~ c_lessequals(V_x,V_y,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_power__one__over_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_a),V_n,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_of__nat__le__iff_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.48 | c_lessequals(V_m,V_n,tc_nat) % 1.50/1.48 | ~ c_lessequals(hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_of__nat__le__iff_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.48 | c_lessequals(hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n),T_a) % 1.50/1.48 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_nonzero__minus__divide__right_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.48 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) % 1.50/1.48 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_power__0__left_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 1.50/1.48 | ~ class_Power_Opower(T_a) % 1.50/1.48 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.48 | ~ class_Int_Onumber__ring(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.48 | ~ class_Int_Onumber__ring(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_subset__insertI2_0,axiom, % 1.50/1.48 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.50/1.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_insert__subset_1,axiom, % 1.50/1.48 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.48 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_inf__0__imp__0_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | c_Lattices_Olower__semilattice__class_Oinf(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.48 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_sup__eq__if_0,axiom, % 1.50/1.48 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.48 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_diff__add__cancel_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_singletonE_0,axiom, % 1.50/1.48 ( V_b = V_a % 1.50/1.48 | ~ 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))) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__mono_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.50/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 1.50/1.48 | ~ c_lessequals(V_c,V_d,T_a) % 1.50/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Int__Un__distrib2_0,axiom, % 1.50/1.48 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)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Int__Un__distrib_0,axiom, % 1.50/1.48 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)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_inf__sup__distrib1_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.50/1.48 | 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) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_inf__sup__distrib2_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.50/1.48 | 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) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Omul__c_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_double__eq__0__iff_1,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__sup__distrib__left_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__sup__distrib__right_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_c) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)),V_c) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__nonneg__nonneg_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Un__absorb_0,axiom, % 1.50/1.48 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.50/1.48 % 1.50/1.48 cnf(cls_sup__idem_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.48 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_rel__comp__mono_0,axiom, % 1.50/1.48 ( c_lessequals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool)) % 1.50/1.48 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool)) % 1.50/1.48 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_sgn__if_2,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 1.50/1.48 | c_HOL_Osgn__class_Osgn(V_x,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a)) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) % 1.50/1.48 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Oadd__a_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__cancel__21_1,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Un__Image_0,axiom, % 1.50/1.48 c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,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_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Image__Un_0,axiom, % 1.50/1.48 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)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.48 | c_HOL_Ozero__class_Ozero(T_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) % 1.50/1.48 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_tfl__wf__induct_1,axiom, % 1.50/1.48 ( hBOOL(hAPP(V_P,V_Rb)) % 1.50/1.48 | ~ hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a))) % 1.50/1.48 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_power__eq__0__iff_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Omult__zero(T_a) % 1.50/1.48 | ~ class_Power_Opower(T_a) % 1.50/1.48 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__cancel__21_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Image__subset__eq_1,axiom, % 1.50/1.48 ( c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) % 1.50/1.48 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),T_a,T_b)),tc_fun(T_b,tc_bool)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Image__subset__eq_0,axiom, % 1.50/1.48 ( c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),T_a,T_b)),tc_fun(T_b,tc_bool)) % 1.50/1.48 | ~ c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_insert__commute_0,axiom, % 1.50/1.48 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) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_power__one_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.50/1.48 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_single__valued__Id_0,axiom, % 1.50/1.48 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_neg__0__le__iff__le_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_neg__0__le__iff__le_1,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 1.50/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__inf__distrib__left_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__inf__distrib__right_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_c) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_zero__le__divide__iff_3,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_zero__le__divide__iff_2,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_zero__le__divide__iff_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_zero__le__divide__iff_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_add__strict__increasing2_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.48 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c))) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c)) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_power__increasing_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.48 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_card__gt__0__iff_1,axiom, % 1.50/1.48 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(V_A,T_a))) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_power__mono_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.48 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_doubleton__eq__iff_4,axiom, % 1.50/1.48 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) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_eq__eqI_1,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_xa),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) % 1.50/1.48 | V_xa = V_y ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_eq__eqI_0,axiom, % 1.50/1.48 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 1.50/1.48 | V_x_H = V_y_H ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_diff__eq_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = c_Lattices_Olower__semilattice__class_Oinf(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.48 | c_lessequals(V_b,V_a,T_a) % 1.50/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.48 | ~ c_lessequals(V_b,V_a,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.48 | c_lessequals(V_a,V_b,T_a) % 1.50/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.48 | ~ c_lessequals(V_a,V_b,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__left__le__imp__le_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.48 | c_lessequals(V_a,V_b,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__right__le__imp__le_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.48 | c_lessequals(V_a,V_b,T_a) % 1.50/1.48 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_le__divide__eq_7,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.50/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_le__divide__eq_5,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.50/1.48 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.48 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_divide__le__eq_7,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.48 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_divide__le__eq_5,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.48 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.48 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) % 1.50/1.48 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Un__left__commute_0,axiom, % 1.50/1.48 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)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Un__assoc_0,axiom, % 1.50/1.48 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)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_sup__assoc_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.48 | 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) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__eq__0__iff_2,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__eq__0__iff_1,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__zero__right_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_mult__zero__left_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Omul__0_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_card__seteq_0,axiom, % 1.50/1.48 ( V_A = V_B % 1.50/1.48 | ~ c_lessequals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat) % 1.50/1.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.48 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_compl__top__eq_0,axiom, % 1.50/1.48 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.48 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_Compl__UNIV__eq_0,axiom, % 1.50/1.48 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 1.50/1.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a))),V_m) ) ). % 1.50/1.48 % 1.50/1.48 cnf(cls_bot1E_0,axiom, % 1.50/1.49 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_UNIV__not__empty_0,axiom, % 1.50/1.49 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_disjoint__iff__not__equal_0,axiom, % 1.50/1.49 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.49 | 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)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__top__right_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__top__left_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__UNIV__left_0,axiom, % 1.50/1.49 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 ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__UNIV__right_0,axiom, % 1.50/1.49 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 ). % 1.50/1.49 % 1.50/1.49 cnf(cls_distrib__sup__le_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__le__0__1__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__le__0__1__iff_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__inf__absorb_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_wf__def_1,axiom, % 1.50/1.49 ( hBOOL(hAPP(V_P,V_xb)) % 1.50/1.49 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a))) % 1.50/1.49 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_eq__divide__imp_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_a = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__eq__imp_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) = V_a ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__eq__eq_3,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) = V_a % 1.50/1.49 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_eq__divide__eq_3,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | V_a = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c) % 1.50/1.49 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__0__eq_0,axiom, % 1.50/1.49 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 1.50/1.49 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_top1I_0,axiom, % 1.50/1.49 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_card__eq__0__iff_2,axiom, % 1.50/1.49 ( c_Finite__Set_Ocard(V_A,T_a) = c_HOL_Ozero__class_Ozero(tc_nat) % 1.50/1.49 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_compl__eq__compl__iff_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y) % 1.50/1.49 | V_x = V_y ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_neg__equal__iff__equal_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b) % 1.50/1.49 | V_a = V_b ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Compl__eq__Compl__iff_0,axiom, % 1.50/1.49 ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B) % 1.50/1.49 | V_A = V_B ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__divide_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__gt1__lemma_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_acyclic__converse_0,axiom, % 1.50/1.49 ( c_Wellfounded_Oacyclic(V_r,T_a) % 1.50/1.49 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_acyclic__converse_1,axiom, % 1.50/1.49 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.50/1.49 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_equalityI_0,axiom, % 1.50/1.49 ( V_A = V_B % 1.50/1.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__antisym_0,axiom, % 1.50/1.49 ( V_m = V_n % 1.50/1.49 | ~ c_lessequals(V_n,V_m,tc_nat) % 1.50/1.49 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_set__eq__subset_2,axiom, % 1.50/1.49 ( V_A = V_B % 1.50/1.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_order__eq__iff_2,axiom, % 1.50/1.49 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.49 | V_x = V_y % 1.50/1.49 | ~ c_lessequals(V_y,V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_order__antisym_0,axiom, % 1.50/1.49 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.49 | V_x = V_y % 1.50/1.49 | ~ c_lessequals(V_y,V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_order__antisym__conv_0,axiom, % 1.50/1.49 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.49 | V_x = V_y % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) % 1.50/1.49 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_setprod__Un__Int_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),c_Finite__Set_Osetprod(V_g,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Finite__Set_Osetprod(V_g,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),c_Finite__Set_Osetprod(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetprod(V_g,V_B,T_a,T_b)) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__iff__diff__le__0_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(V_a,V_b,T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__iff__diff__le__0_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_setprod__Un__disjoint_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.49 | 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)) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.49 | c_Finite__Set_Osetprod(V_g,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),c_Finite__Set_Osetprod(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetprod(V_g,V_B,T_a,T_b)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__absorb_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__absorb1_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 1.50/1.49 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__iff__sup_1,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 1.50/1.49 | c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__iff__sup_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__absorb1_0,axiom, % 1.50/1.49 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__absorb2_0,axiom, % 1.50/1.49 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.50/1.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__Un__eq_1,axiom, % 1.50/1.49 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 1.50/1.49 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__add__cancel_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__cancel__end_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = V_y ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__trans_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__refl_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_zero__le__divide__iff_4,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_zero__le__divide__iff_5,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_frac__le_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_w),T_a) % 1.50/1.49 | ~ c_lessequals(V_w,V_z,T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w)) % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_setsum__Un_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 1.50/1.49 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_B))),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_doubleton__eq__iff_0,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | V_a = V_d % 1.50/1.49 | V_a = V_c ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_doubleton__eq__iff_1,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | V_b = V_c % 1.50/1.49 | V_a = V_c ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_doubleton__eq__iff_2,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | V_a = V_d % 1.50/1.49 | V_b = V_d ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_doubleton__eq__iff_3,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | V_b = V_c % 1.50/1.49 | V_b = V_d ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__mult__cancel__right_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__mult__cancel__left_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__le__cancel__right_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__le__cancel__right_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.49 | c_lessequals(V_a,V_b,T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__le__cancel__left_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__le__cancel__left_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.49 | c_lessequals(V_a,V_b,T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__right__mono_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__left__mono_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__frac__frac_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_w)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__mult__right_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oring(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__mult__left_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oring(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_card__insert__if_0,axiom, % 1.50/1.49 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_rtrancl__subset__rtrancl_0,axiom, % 1.50/1.49 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__eq__neg_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__eq__neg_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__strict__left__mono_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_finite__compl_0,axiom, % 1.50/1.49 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_finite__compl_1,axiom, % 1.50/1.49 ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__empty_0,axiom, % 1.50/1.49 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sgn__0__0_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.49 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sgn0_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 1.50/1.49 | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__empty_1,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__left__idem_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_empty__not__insert_0,axiom, % 1.50/1.49 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_field__power__not__zero_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__eq__0__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Omult__zero(T_a) % 1.50/1.49 | ~ class_Power_Opower(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_neg__le__0__iff__le_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_neg__le__0__iff__le_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__less__le__imp__less_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.49 | ~ c_lessequals(V_c,V_d,T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__less__imp__less_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d))) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d)) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_one__dvd_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__insert__left_0,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__insert__right_0,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__left__commute_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__divide__divide_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__absorb2_0,axiom, % 1.50/1.49 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__absorb1_0,axiom, % 1.50/1.49 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.50/1.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__iff__inf_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__iff__inf_1,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 1.50/1.49 | c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__absorb2_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 1.50/1.49 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__subset__iff_2,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__upper2_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__upper1_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__least_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__supI_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_b,V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__ge1_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__ge2_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__least_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_z,V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__sup__iff_2,axiom, % 1.50/1.49 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 1.50/1.49 | ~ c_lessequals(V_y,V_z,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__commute_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__commute_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_wf__acyclic_0,axiom, % 1.50/1.49 ( c_Wellfounded_Oacyclic(V_r,T_a) % 1.50/1.49 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_equiv__class__subset_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.49 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_combine__common__factor_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Osemiring(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_distrib__inf__le_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_rtrancl__subset_0,axiom, % 1.50/1.49 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) % 1.50/1.49 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_left__minus_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_right__minus_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_ab__left__minus_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_b) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_compl__unique_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a) % 1.50/1.49 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_singleton__inject_0,axiom, % 1.50/1.49 ( 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) % 1.50/1.49 | V_a = V_b ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__Int__crazy_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__0__left_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__strict__mono_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.49 | ~ class_Int_Onumber__ring(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_x = V_y ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_right__minus__eq_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_a = V_b ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_a = V_b ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Compl__partition2_0,axiom, % 1.50/1.49 c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Compl__partition_0,axiom, % 1.50/1.49 c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_compl__sup__top_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__compl__top_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__eq__eq_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__zero_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__zero__left_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 1.50/1.49 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le0_0,axiom, % 1.50/1.49 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__nonneg__pos_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__pos__nonneg_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_vimage__Compl_0,axiom, % 1.50/1.49 c_Set_Ovimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),V_A),T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__0__iff_4,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__0__iff_5,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_split__mult__neg__le_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_split__mult__neg__le_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__nonneg__nonpos_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__nonpos__nonneg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_insert__subset_0,axiom, % 1.50/1.49 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.50/1.49 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Sigma__Un__distrib1_0,axiom, % 1.50/1.49 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_insert__code_2,axiom, % 1.50/1.49 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 1.50/1.49 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.49 | ~ class_Int_Onumber__ring(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) % 1.50/1.49 | V_y = V_z ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__imp__eq_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 1.50/1.49 | V_b = V_c ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__left__cancel_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 1.50/1.49 | V_b = V_c ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__right__cancel_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) % 1.50/1.49 | V_b = V_c ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__insert__iff_2,axiom, % 1.50/1.49 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__insert__iff_1,axiom, % 1.50/1.49 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.49 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__insert_1,axiom, % 1.50/1.49 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__insert_0,axiom, % 1.50/1.49 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__self__if_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_vimage__mono_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__1_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),c_HOL_Oone__class_Oone(T_a)) = V_a ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__insert__right_1,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__insert__left_1,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__right__le__one__le_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__left__le__one__le_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x),V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__nonpos__neg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.49 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_divide__nonneg__pos_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__power__same_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_n,T_a),T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__empty_1,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__empty_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__eq__bot__eq1_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.50/1.49 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__eq__bot__eq2_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 1.50/1.49 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom, % 1.50/1.49 ( c_Finite__Set_Ocard(V_A,T_a) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 1.50/1.49 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 1.50/1.49 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_rel__comp__distrib2_0,axiom, % 1.50/1.49 c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_rel__comp__distrib_0,axiom, % 1.50/1.49 c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__subset__iff_1,axiom, % 1.50/1.49 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ 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)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__subset__iff_0,axiom, % 1.50/1.49 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ 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)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__infE_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,V_a,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__infE_1,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,V_b,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__infI1_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__infI2_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.50/1.49 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__inf__iff_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,V_y,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__inf__iff_1,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,V_z,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__minus__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__minus__iff_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_x,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__dvd__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__0_0,axiom, % 1.50/1.49 ( ~ class_Power_Opower(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_class__semiring_Opwr__0_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_total__on__empty_0,axiom, % 1.50/1.49 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__mono_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_vimage__singleton__eq_0,axiom, % 1.50/1.49 ( hAPP(V_f,V_a) = V_b % 1.50/1.49 | ~ 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))) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_converse__Un_0,axiom, % 1.50/1.49 c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__0__left_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 1.50/1.49 | ~ class_Power_Opower(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__eq__0__iff_2,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.50/1.49 | ~ class_Ring__and__Field_Omult__zero(T_a) % 1.50/1.49 | ~ class_Power_Opower(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__greatest_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_z,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__inf__iff_2,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_z,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_le__infI_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_b,T_a) % 1.50/1.49 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__le2_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__le1_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__lower1_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__lower2_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__greatest_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__subset__iff_2,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_subset__UNIV_0,axiom, % 1.50/1.49 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_top__greatest_0,axiom, % 1.50/1.49 ( ~ class_Orderings_Otop(T_a) % 1.50/1.49 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sgn__1__neg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.49 | c_HOL_Osgn__class_Osgn(V_a,T_a) != hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a)) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sgn__neg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.49 | c_HOL_Osgn__class_Osgn(V_a,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a)) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__mult__commute_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oring(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__power__le_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_Power_Opower__class_Opower(V_y,V_m,T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_n,V_m,tc_nat) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__0__iff_3,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__0__iff_2,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__0__iff_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__le__0__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_neg__equal__zero_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_add__minus__cancel_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_minus__zero_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__inf__distrib2_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__inf__distrib1_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__Int__distrib_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Un__Int__distrib2_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_insert__code_1,axiom, % 1.50/1.49 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_insert__subset_2,axiom, % 1.50/1.49 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__mult__right_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__mult__left_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_c,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__mult2_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_dvd__mult_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_compl__bot__eq_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.49 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Compl__empty__eq_0,axiom, % 1.50/1.49 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_inf__left__idem_0,axiom, % 1.50/1.49 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.49 | 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) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Int__left__absorb_0,axiom, % 1.50/1.49 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)) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 1.50/1.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.49 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_Image__Int__eq_0,axiom, % 1.50/1.49 ( 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)) % 1.50/1.49 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_nonzero__power__divide_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.49 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)) % 1.50/1.49 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_power__less__power__Suc_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)))) % 1.50/1.49 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__dvd__mono_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.49 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 1.50/1.49 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__right__mono__neg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 1.50/1.49 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__left__mono__neg_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.49 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__right__mono_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__left__mono_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_mult__mono1_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 1.50/1.49 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) % 1.50/1.49 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.49 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sup__eq__if_1,axiom, % 1.50/1.49 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.49 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.49 | c_Lattices_Oupper__semilattice__class_Osup(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) = V_a % 1.50/1.49 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.49 | ~ class_Int_Onumber__ring(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d)) % 1.50/1.49 | V_c = V_d % 1.50/1.49 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_finite__UNIV_0,axiom, % 1.50/1.49 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 1.50/1.49 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.49 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.49 % 1.50/1.49 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 1.50/1.49 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Range__Un__eq_0,axiom, % 1.50/1.50 c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__0__eq_1,axiom, % 1.50/1.50 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__le__eq_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__le__eq_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__divide__eq_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__divide__eq_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf__idem_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.50 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Int__absorb_0,axiom, % 1.50/1.50 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__imp__less__div__pos_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y)),V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__imp__div__pos__less_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__eq_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__eq_6,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__divide__eq_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__divide__eq_6,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__sup__iff_1,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_lessequals(V_y,V_z,T_a) % 1.50/1.50 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__sup__iff_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_lessequals(V_x,V_z,T_a) % 1.50/1.50 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__supI2_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__supI1_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__supE_1,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_lessequals(V_b,V_x,T_a) % 1.50/1.50 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__supE_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_lessequals(V_a,V_x,T_a) % 1.50/1.50 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Un__subset__iff_0,axiom, % 1.50/1.50 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ 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)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Un__subset__iff_1,axiom, % 1.50/1.50 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ 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)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_dvd__power_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_xt1_I6_J_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | c_lessequals(V_z,V_x,T_a) % 1.50/1.50 | ~ c_lessequals(V_z,V_y,T_a) % 1.50/1.50 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__nonpos__nonpos_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__le__dvd_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(V_m,V_n,tc_nat) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__trans_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.50 | c_lessequals(V_x,V_z,T_a) % 1.50/1.50 | ~ c_lessequals(V_y,V_z,T_a) % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__refl_0,axiom, % 1.50/1.50 c_lessequals(V_n,V_n,tc_nat) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__trans_0,axiom, % 1.50/1.50 ( c_lessequals(V_i,V_k,tc_nat) % 1.50/1.50 | ~ c_lessequals(V_j,V_k,tc_nat) % 1.50/1.50 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_eq__imp__le_0,axiom, % 1.50/1.50 c_lessequals(V_x,V_x,tc_nat) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_equalityE_0,axiom, % 1.50/1.50 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subset__refl_0,axiom, % 1.50/1.50 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subset__trans_0,axiom, % 1.50/1.50 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_predicate1D_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_Q,V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(V_P,V_x)) % 1.50/1.50 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_wf__subset_0,axiom, % 1.50/1.50 ( c_Wellfounded_Owf(V_p,T_a) % 1.50/1.50 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.50/1.50 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__eq__iff_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | c_lessequals(V_x,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__eq__refl_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.50 | c_lessequals(V_x,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__dvd__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),V_y,T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) % 1.50/1.50 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__ring_Osub__add_0,axiom, % 1.50/1.50 ( ~ class_Int_Onumber__ring(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_diff__def_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_diff__minus_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_ab__diff__minus_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)))) % 1.50/1.50 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)))) % 1.50/1.50 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__num__frac_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) % 1.50/1.50 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__frac__num_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) % 1.50/1.50 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf__eq__neg__sup_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.50 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Un__commute_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sup__commute_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.50 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Compl__Int_0,axiom, % 1.50/1.50 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_compl__inf_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_neg__inf__eq__sup_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__half__sum_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a))))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_gt__half__sum_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)))),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_group__add__class_Odiff__0_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sgn__0__0_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.50 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__eq__imp__eq__base_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.50 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 1.50/1.50 | V_a = V_b % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Domain__Un__eq_0,axiom, % 1.50/1.50 c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__cancel__end_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != V_y % 1.50/1.50 | V_x = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_z) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) % 1.50/1.50 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) % 1.50/1.50 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insert__is__Un_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_dvd__add_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_acc__subset_0,axiom, % 1.50/1.50 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Un__left__absorb_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sup__left__idem_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.50 | 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) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Olattice(T_a) % 1.50/1.50 | 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) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Compl__Un_0,axiom, % 1.50/1.50 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_compl__sup_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_y),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_neg__sup__eq__inf_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_card__mono_0,axiom, % 1.50/1.50 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__frac__num_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),V_y) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_vimage__Un_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__Suc__less_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_Power_Opower__class_Opower(V_a,V_n,T_a))),c_Power_Opower__class_Opower(V_a,V_n,T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_card__gt__0__iff_0,axiom, % 1.50/1.50 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_wf__induct__rule_1,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a))) % 1.50/1.50 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_rtrancl__Un__rtrancl_0,axiom, % 1.50/1.50 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__divide__eq_9,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__divide__eq_8,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__eq_9,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__eq_8,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_card__empty_0,axiom, % 1.50/1.50 c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sgn__sgn_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.50 | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a) = c_HOL_Osgn__class_Osgn(V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_card__gt__0__iff_2,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Ocard(V_A,T_a))) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.50 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__mono_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(V_c,V_d,T_a) % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__mono_H_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d),T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(V_c,V_d,T_a) % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_square__eq__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_b) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__mult__minus_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oring(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_diff__minus__eq__add_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf1E_1,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_B,V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf1E_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_A,V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_diff__frac__eq_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) % 1.50/1.50 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Range__insert_0,axiom, % 1.50/1.50 c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a) = c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_disjoint__eq__subset__Compl_1,axiom, % 1.50/1.50 ( 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)) % 1.50/1.50 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_disjoint__eq__subset__Compl_0,axiom, % 1.50/1.50 ( 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)) % 1.50/1.50 | c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_dvd__mult__cancel__left_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 1.50/1.50 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_dvd__mult__cancel__right_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 1.50/1.50 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Oadd__0_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.50/1.50 | ~ class_Int_Onumber__ring(T_a) % 1.50/1.50 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__0__left_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__divide__eq_9,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) % 1.50/1.50 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__divide__eq_3,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__divide__eq_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__le__eq_9,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__le__eq_3,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__le__eq_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_neg__equal__zero_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a) != V_a % 1.50/1.50 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__mult__iff_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__mult__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__mult__iff_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__mult__iff_3,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__diff__cancel_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_cuts__eq_2,axiom, % 1.50/1.50 ( hAPP(V_f,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) % 1.50/1.50 | c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__le__imp__le__exp_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.50 | c_lessequals(V_m,V_n,tc_nat) % 1.50/1.50 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__increasing__iff_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.50 | c_lessequals(V_x,V_y,tc_nat) % 1.50/1.50 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__increasing__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.50 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_x,V_y,tc_nat) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_single__valued__Id__on_0,axiom, % 1.50/1.50 c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__divide__right_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__divide__left_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__divide__distrib_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_double__complement_0,axiom, % 1.50/1.50 hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)) = V_A ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__minus_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_double__compl_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_equation__minus__iff_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | V_b = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_equation__minus__iff_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | V_a = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__equation__iff_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) = V_b ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_acyclic__insert_0,axiom, % 1.50/1.50 ( c_Wellfounded_Oacyclic(V_r,T_a) % 1.50/1.50 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_antisym__subset_0,axiom, % 1.50/1.50 ( c_Relation_Oantisym(V_r,T_a) % 1.50/1.50 | ~ c_Relation_Oantisym(V_s,T_a) % 1.50/1.50 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_finite__subset_0,axiom, % 1.50/1.50 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_rev__predicate1D_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_Q,V_x)) % 1.50/1.50 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_acyclic__subset_0,axiom, % 1.50/1.50 ( c_Wellfounded_Oacyclic(V_r,T_a) % 1.50/1.50 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.50/1.50 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_rev__finite__subset_0,axiom, % 1.50/1.50 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_single__valued__subset_0,axiom, % 1.50/1.50 ( c_Relation_Osingle__valued(V_r,T_a,T_b) % 1.50/1.50 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b) % 1.50/1.50 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__add__right__mono_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 1.50/1.50 | ~ c_lessequals(V_c,V_d,T_a) % 1.50/1.50 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_card__eq__0__iff_0,axiom, % 1.50/1.50 ( c_Finite__Set_Ocard(V_A,T_a) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.50 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Int__mono_0,axiom, % 1.50/1.50 ( 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)) % 1.50/1.50 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__nonneg__neg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__nonpos__pos_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) % 1.50/1.50 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__idem_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_singleton__iff_1,axiom, % 1.50/1.50 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))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__strict__mono_H_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d))) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subset__Compl__self__eq_0,axiom, % 1.50/1.50 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Domain__mono_0,axiom, % 1.50/1.50 ( c_lessequals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subset__singletonD_0,axiom, % 1.50/1.50 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.50/1.50 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ 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)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_vimage__insert_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_eq__divide__eq_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_HOL_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf1I_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(V_B,V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sup__eq__neg__inf_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.50 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__eqI_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 1.50/1.50 | c_lessequals(V_y_H,V_x_H,T_a) % 1.50/1.50 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__eqI_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 1.50/1.50 | c_lessequals(V_y,V_x,T_a) % 1.50/1.50 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_power__mult__distrib_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.50/1.50 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),V_n,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_b,V_n,T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y),V_q,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a)),c_Power_Opower__class_Opower(V_y,V_q,T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insert__mono_0,axiom, % 1.50/1.50 ( 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)) % 1.50/1.50 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Un__empty_2,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf__period_I4_J_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Odvd(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_t),T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_k),V_D))),V_t),T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_inf__period_I4_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Odvd(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 1.50/1.50 | c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_k),V_D))),V_t),T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_t),T_a) % 1.50/1.50 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_frac__eq__eq_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y) % 1.50/1.50 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_frac__eq__eq_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z) % 1.50/1.50 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__right__mono__neg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c),T_a) % 1.50/1.50 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__right__mono_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | c_lessequals(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_sgn__times_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.50 | c_HOL_Osgn__class_Osgn(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a)),c_HOL_Osgn__class_Osgn(V_b,T_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__nonneg__nonneg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__mult__iff_5,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__mult__iff_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__le__square_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__nonpos__nonpos_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_split__mult__pos__le_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_split__mult__pos__le_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.50/1.50 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_vimage__empty_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__ring_Oneg__mul_0,axiom, % 1.50/1.50 ( ~ class_Int_Onumber__ring(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),c_HOL_Oone__class_Oone(T_a))),V_x) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Image__mono_0,axiom, % 1.50/1.50 ( c_lessequals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__eq__eq_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)),V_c) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Omul__a_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_class__semiring_Omul__d_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__add__distrib_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__add_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_frac__less_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_w))) % 1.50/1.50 | ~ c_lessequals(V_w,V_z,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_w)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.50 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_nat__le__linear_0,axiom, % 1.50/1.50 ( c_lessequals(V_n,V_m,tc_nat) % 1.50/1.50 | c_lessequals(V_m,V_n,tc_nat) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_linorder__linear_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.50 | c_lessequals(V_y,V_x,T_a) % 1.50/1.50 | c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_setprod__pos__nat__iff_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(V_f,V_x))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Finite__Set_Osetprod(V_f,V_S,T_a,tc_nat))) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_one__less__power_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_setsum__insert_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.50 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Set_Oinsert(V_a,V_F,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_f,V_a)),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_F)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_F)) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_setprod__insert_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.50 | c_Finite__Set_Osetprod(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),hAPP(V_f,V_a)),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_acyclic__insert_2,axiom, % 1.50/1.50 ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.50 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_acyclic__insert_1,axiom, % 1.50/1.50 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.50 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_converse__rtrancl__induct_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.50 | ~ hBOOL(hAPP(V_P,V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_rtrancl__induct_1,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_P,V_b)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.50 | ~ hBOOL(hAPP(V_P,V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_equiv__class__self_0,axiom, % 1.50/1.50 ( 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))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.50/1.50 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_equiv__class__nondisjoint_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.50 | ~ 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)))) % 1.50/1.50 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subset__equiv__class_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A)) % 1.50/1.50 | ~ 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)) % 1.50/1.50 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__eq_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__eq_3,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__divide__eq_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__divide__eq_3,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__strict__right__mono_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__strict__left__mono_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__neg__neg_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__pos__pos_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__less__divide__iff_4,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_zero__less__divide__iff_5,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__0__iff_0,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__0__iff_1,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__0__iff_2,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_divide__less__0__iff_3,axiom, % 1.50/1.50 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.50 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__diff__eq_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.50 | hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__le__less__mono_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d)) % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__less__le__mono_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d))) % 1.50/1.50 | ~ c_lessequals(V_c,V_d,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_vimage__Int_0,axiom, % 1.50/1.50 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)) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_finite__Int_1,axiom, % 1.50/1.50 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_finite__Int_0,axiom, % 1.50/1.50 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.50/1.50 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__funD_0,axiom, % 1.50/1.50 ( ~ class_HOL_Oord(T_b) % 1.50/1.50 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 1.50/1.50 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__minus__iff_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) % 1.50/1.50 | ~ c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_le__minus__iff_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | c_lessequals(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),T_a) % 1.50/1.50 | ~ c_lessequals(V_b,hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__le__iff_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) % 1.50/1.50 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_minus__le__iff_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a),V_b,T_a) % 1.50/1.50 | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b),V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_Int__iff_2,axiom, % 1.50/1.50 ( 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)))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_IntI_0,axiom, % 1.50/1.50 ( 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)))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insert__iff_2,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insertCI_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subset__iff_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A)) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_set__rev__mp_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_subsetD_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_set__mp_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.50 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_UnCI_1,axiom, % 1.50/1.50 ( 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)))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_UnCI_0,axiom, % 1.50/1.50 ( 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)))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_ex__in__conv_0,axiom, % 1.50/1.50 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_ball__empty_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_empty__iff_0,axiom, % 1.50/1.50 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_emptyE_0,axiom, % 1.50/1.50 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insertE_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.50/1.50 | V_a = V_b % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_UnE_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.50/1.50 | ~ 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)))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_UNIV__I_0,axiom, % 1.50/1.50 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_ComplI_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_ComplD_0,axiom, % 1.50/1.50 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insert__iff_1,axiom, % 1.50/1.50 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insertI1_0,axiom, % 1.50/1.50 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insertCI_1,axiom, % 1.50/1.50 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_IntE_1,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.50/1.50 | ~ 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)))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_IntE_0,axiom, % 1.50/1.50 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.50/1.50 | ~ 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)))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_bex__empty_0,axiom, % 1.50/1.50 ( ~ hBOOL(hAPP(V_P,V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insert__ident_0,axiom, % 1.50/1.50 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.50 | V_A = V_B ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_insert__absorb_0,axiom, % 1.50/1.50 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_linorder__antisym__conv2_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.50 | V_x = V_y % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_linorder__antisym__conv1_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.50 | V_x = V_y % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__neq__le__trans_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) % 1.50/1.50 | V_a = V_b ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__le__neq__trans_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | V_a = V_b % 1.50/1.50 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__less__le_2,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.50 | V_x = V_y % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__le__less_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | V_x = V_y % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_xt1_I12_J_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.50 | ~ c_lessequals(V_b,V_a,T_a) % 1.50/1.50 | V_a = V_b ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_xt1_I11_J_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.50 | V_a = V_b % 1.50/1.50 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__eqI_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__eqI_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.50 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__less__le__trans_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 1.50/1.50 | ~ c_lessequals(V_y,V_z,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__le__less__trans_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_xt1_I8_J_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) % 1.50/1.50 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_xt1_I7_J_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 1.50/1.50 | ~ c_lessequals(V_z,V_y,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__less__cancel__left_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__less__cancel__left_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__strict__left__mono_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__less__cancel__right_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__less__cancel__right_1,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__strict__right__mono_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__less__imp__le_0,axiom, % 1.50/1.50 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.50 | c_lessequals(V_x,V_y,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_order__le__less_1,axiom, % 1.50/1.50 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.50 | c_lessequals(V_x,V_y,T_a) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__infI1_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__infI2_0,axiom, % 1.50/1.50 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)),V_x)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_add__strict__mono_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d))) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),V_d)) % 1.50/1.50 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_less__le__not__le_2,axiom, % 1.50/1.50 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.50 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.50 | c_lessequals(V_y,V_x,T_a) % 1.50/1.50 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.50 % 1.50/1.50 cnf(cls_neg__less__iff__less_0,axiom, % 1.50/1.50 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_neg__less__iff__less_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__leE_0,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.51 | c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_linorder__antisym__conv2_1,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | ~ c_lessequals(V_x,V_x,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_linorder__antisym__conv1_1,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) % 1.50/1.51 | c_lessequals(V_x,V_x,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_linorder__not__less_1,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.51 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_linorder__not__less_0,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | c_lessequals(V_y,V_x,T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_linorder__not__le_1,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | ~ c_lessequals(V_x,V_y,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_linorder__not__le_0,axiom, % 1.50/1.51 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.50/1.51 | c_lessequals(V_x,V_y,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__le__not__le_1,axiom, % 1.50/1.51 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.51 | ~ c_lessequals(V_y,V_x,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__supI1_0,axiom, % 1.50/1.51 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__supI2_0,axiom, % 1.50/1.51 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__minus__iff_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__minus__iff_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_minus__less__iff_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_minus__less__iff_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_b)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_le__neq__implies__less_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) % 1.50/1.51 | V_m = V_n % 1.50/1.51 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_le__eq__less__or__eq_0,axiom, % 1.50/1.51 ( V_m = V_n % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) % 1.50/1.51 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_nat__less__le_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) % 1.50/1.51 | V_m = V_n % 1.50/1.51 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_neq0__conv_1,axiom, % 1.50/1.51 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_gr0I_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) % 1.50/1.51 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_nat__less__le_0,axiom, % 1.50/1.51 ( c_lessequals(V_m,V_n,tc_nat) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 1.50/1.51 ( c_lessequals(V_x,V_y,tc_nat) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_gr__implies__not0_0,axiom, % 1.50/1.51 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__less0_0,axiom, % 1.50/1.51 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_eq__equiv__class_0,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv__class__eq__iff_3,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_eq__equiv__class__iff_1,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_eq__equiv__class__iff_0,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__cases_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_f,T_a,T_b,tc_fun(T_b,T_b)),V_g,T_a,T_b,T_b)),V_A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)))),hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_g),c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)))) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | c_HOL_Osgn__class_Osgn(V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__1__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | c_HOL_Osgn__class_Osgn(V_a,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__divide__1__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__divide__1__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__less_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__less_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Osgn__class_Osgn(V_a,T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__strict__right__mono_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__square__less__zero_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_add__neg__neg_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_neg__less__0__iff__less_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_neg__less__0__iff__less_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__greater_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Osgn__class_Osgn(V_a,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__greater_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Osgn__class_Osgn(V_a,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_even__less__0__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_even__less__0__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__mult__pos2_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__mult__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__pos__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__neg__neg_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__power_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_add__pos__pos_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__iff__diff__less__0_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__iff__diff__less__0_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__pos__neg2_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__pos__neg_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__neg__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_pos__add__strict_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_c)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__neg__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__pos__neg_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__less__0__iff_4,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__less__0__iff_5,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__divide__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__divide__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__divide__iff_2,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__divide__iff_3,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_c),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_neg__0__less__iff__less_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_neg__0__less__iff__less_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__minus__self__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__minus__self__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(T_a),V_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_right__inverse__eq_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.51 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_x) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__self_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_a) = c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__self__if_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_a) = c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__le__one_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__one__le__zero_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_right__inverse__eq_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b) != c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.51 | V_a = V_b ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__1__mult_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_m),V_n))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_n)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_m)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_less__add__one_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_power__inject__exp_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) % 1.50/1.51 | V_m = V_n ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_single__valuedD_0,axiom, % 1.50/1.51 ( V_y = V_z % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_z,T_a,T_b)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_x,V_y,T_a,T_b)),V_r)) % 1.50/1.51 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_congruent2_Ocongruent2_0,axiom, % 1.50/1.51 ( hAPP(hAPP(V_f,V_y1),V_y2) = hAPP(hAPP(V_f,V_z1),V_z2) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(V_y2,V_z2,T_b,T_b)),V_r2)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y1,V_z1,T_a,T_a)),V_r1)) % 1.50/1.51 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__0_H_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(V_A,V_f,T_a,T_b)) != c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__empty_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__negf_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBB(c_HOL_Ouminus__class_Ouminus(T_a),V_f,T_a,T_a,T_b)),V_A) = hAPP(c_HOL_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__right__distrib_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_f,T_a,T_a,T_b)),V_A) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__le__imp__of__nat_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__0__le__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__0_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.50/1.51 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_pred__subset__eq_0,axiom, % 1.50/1.51 ( c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) % 1.50/1.51 | ~ 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)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_pred__subset__eq_1,axiom, % 1.50/1.51 ( 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)) % 1.50/1.51 | ~ c_lessequals(V_R,V_S,tc_fun(T_a,tc_bool)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__singleton__iff_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) % 1.50/1.51 | ~ 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))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__singleton__iff_1,axiom, % 1.50/1.51 ( 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))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__eq__minimal_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a)),V_Q)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_Q)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wfE__min_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a)),V_Q)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_Q)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__insert_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(V_r,T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_ImageE_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a)),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__iff_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a)),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_in__rtrancl__UnI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_in__rtrancl__UnI_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_x),c_Transitive__Closure_Ortrancl(V_S,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__1_H_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1(V_F,V_f,T_a,T_b)) != c_HOL_Oone__class_Oone(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_F,T_a,T_b) = c_HOL_Oone__class_Oone(T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__empty_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__mono_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_s,T_a))) % 1.50/1.51 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv__class__eq_0,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv__class__eq__iff_0,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__induct_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Oinducts_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__induct__rule_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__acc__down_1,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a)),c_Wellfounded_Oacc(V_R,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__induct__rule_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Oinduct_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_OaccI_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a)),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__induct_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__union__merge_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__union__merge_1,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__unfold_0,axiom, % 1.50/1.51 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Domain__rtrancl_0,axiom, % 1.50/1.51 c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__reflcl__absorb_0,axiom, % 1.50/1.51 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__reflcl_0,axiom, % 1.50/1.51 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__rtrancl_0,axiom, % 1.50/1.51 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__rtrancl_0,axiom, % 1.50/1.51 c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom, % 1.50/1.51 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) % 1.50/1.51 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__Un__converse_0,axiom, % 1.50/1.51 c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Domain__Id_0,axiom, % 1.50/1.51 c_Relation_ODomain(c_Relation_OId(T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__Id_0,axiom, % 1.50/1.51 c_Relation_ORange(c_Relation_OId(T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__Id_0,axiom, % 1.50/1.51 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Relation_OId(T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__Id__on_0,axiom, % 1.50/1.51 c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__reflcl_0,axiom, % 1.50/1.51 ( c_Relation_Oantisym(V_r,T_a) % 1.50/1.51 | ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__reflcl_1,axiom, % 1.50/1.51 ( c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 1.50/1.51 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sgn__if_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Osgn__if(T_a) % 1.50/1.51 | c_HOL_Osgn__class_Osgn(V_x,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)) % 1.50/1.51 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__less__0__1__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_divide__less__0__1__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__two_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__0_H_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1(V_A,V_f,T_a,T_b)),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_power__less__imp__less__exp_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_m,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_power__strict__increasing_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a)),c_Power_Opower__class_Opower(V_a,V_N,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_power__strict__increasing__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_power__strict__increasing__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_b,V_x,T_a)),c_Power_Opower__class_Opower(V_b,V_y,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),V_b)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__pos_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_b),c_HOL_Ozero__class_Ozero(T_b)),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_b),c_HOL_Ozero__class_Ozero(T_b)),hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1(V_A,V_f,T_a,T_b)))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__left__distrib_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),T_b,T_a,T_a),V_r)),V_A) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__divide__distrib_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.50/1.51 | hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(c_COMBB(c_HOL_Oinverse__class_Odivide(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),T_b,T_a,T_a),V_r)),V_A) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_dvd__setprod_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_b) % 1.50/1.51 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(V_f,V_i),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b),T_b) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__subtractf_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a)),V_A) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__addf_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBS(c_COMBB(c_HOL_Oplus__class_Oplus(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a)),V_A) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__1_H_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_F,T_a,T_b) = c_HOL_Oone__class_Oone(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1(V_F,V_f,T_a,T_b)),V_F)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__zero__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_b) % 1.50/1.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) != c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.51 | hAPP(V_f,c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1(V_A,V_f,T_a,T_b)) = c_HOL_Ozero__class_Ozero(T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_SigmaE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(V_A,V_B,V_c,T_a,T_b)),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),V_c),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtranclE_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a)),V_r)) % 1.50/1.51 | V_a = V_b % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rtranclE_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | V_x = V_z % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rtranclE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | V_x = V_z % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rtrancl__induct_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rtrancl__induct_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__induct_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_b)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__induct_3,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_single__valued__confluent_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_z,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ c_Relation_Osingle__valued(V_r,T_a,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl_Ocases_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a)),c_Transitive__Closure_Ortrancl(V_r,t_a))) % 1.50/1.51 | V_a2 = V_a1 % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Ortrancl(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__induct_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_b)) % 1.50/1.51 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl_Ocases_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a)),V_r)) % 1.50/1.51 | V_a2 = V_a1 % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Ortrancl(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rtrancl__induct_3,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(V_P,V_b)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtranclE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | V_a = V_b % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__induct__rule_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__def_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_xa)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tfl__wf__induct_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_Ra)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a),T_a,T_a)),V_R)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__induct_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__commute_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(T_c,T_a),V_f,tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_bool),T_a),T_b),T_b,tc_fun(T_c,tc_bool),T_a),V_B)),V_A) = hAPP(hAPP(c_Finite__Set_Osetsum(T_c,T_a),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(T_b,T_a),c_COMBC(V_f,T_b,T_c,T_a),tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_bool),T_a),T_c),T_c,tc_fun(T_b,tc_bool),T_a),V_A)),V_B) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_irrefl__trancl__rD_0,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__tranclE_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tranclD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a)),V_R)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl_Ocases_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a)),c_Transitive__Closure_Otrancl(V_r,t_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Otrancl(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acyclic__def_0,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tranclE_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a)),V_r)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tranclE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tranclD2_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a)),V_R)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__tranclE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl_Ocases_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a)),V_r)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_a1,V_a2,t_a,t_a)),c_Transitive__Closure_Otrancl(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__timesf_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.50/1.51 | c_Finite__Set_Osetprod(c_COMBS(c_COMBB(c_HOL_Otimes__class_Otimes(T_a),V_f,T_a,tc_fun(T_a,T_a),T_b),V_g,T_b,T_a,T_a),V_A,T_b,T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Finite__Set_Osetprod(V_f,V_A,T_b,T_a)),c_Finite__Set_Osetprod(V_g,V_A,T_b,T_a)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rel__compEpair_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_c,T_b)),c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),V_c,T_c,T_b)),V_s)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_c,T_a,T_b)),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rel__compEpair_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_c)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),T_a,T_c)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_c,T_a,T_b)),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_IdE_0,axiom, % 1.50/1.51 ( V_p = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),T_a,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Relation_OId(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__setsum_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.50/1.51 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,tc_nat),V_f),V_A)) = hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),c_COMBB(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_f,tc_nat,T_a,T_b)),V_A) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__acc__iff_1,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(V_r,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__wfI_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(V_r,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a)),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__setprod_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.50/1.51 | ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.50/1.51 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Finite__Set_Osetprod(V_f,V_A,T_b,tc_nat)) = c_Finite__Set_Osetprod(c_COMBB(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_f,tc_nat,T_a,T_b),V_A,T_b,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Id__onE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a)),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_c),c_Relation_OId__on(V_A,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Id__onE_1,axiom, % 1.50/1.51 ( V_c = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),T_a,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_c),c_Relation_OId__on(V_A,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_cuts__eq_1,axiom, % 1.50/1.51 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b),V_x,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_reflcl__trancl_0,axiom, % 1.50/1.51 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__reflcl_0,axiom, % 1.50/1.51 c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Nitpick_Ortrancl__def_0,axiom, % 1.50/1.51 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__unfold_0,axiom, % 1.50/1.51 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__on__comp__subset_0,axiom, % 1.50/1.51 ( c_lessequals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__def__raw_0,axiom, % 1.50/1.51 c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_irrefl__def_1,axiom, % 1.50/1.51 ( c_Relation_Oirrefl(V_r,T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_congruent2__implies__congruent_0,axiom, % 1.50/1.51 ( c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.50/1.51 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r1,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mlex__leq_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_R)) % 1.50/1.51 | ~ c_lessequals(hAPP(V_f,V_x),hAPP(V_f,V_y),tc_nat) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Nitpick_Orefl_H__def_1,axiom, % 1.50/1.51 ( c_Nitpick_Orefl_H(V_r,T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_power__strict__decreasing_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a)),c_Power_Opower__class_Opower(V_a,V_n,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),c_HOL_Oone__class_Oone(T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_N)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__pos_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_b),c_HOL_Ozero__class_Ozero(T_b)),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1(V_A,V_f,T_a,T_b)),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__0__less__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__0__less__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__zero__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_b) % 1.50/1.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) != c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1(V_A,V_f,T_a,T_b)),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wfE__min_1,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Q)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a)),V_R)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_Q)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__eq__minimal_1,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Q)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_Q)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_ImageE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__iff_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__dividef_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ofield(T_b) % 1.50/1.51 | ~ class_Ring__and__Field_Odivision__by__zero(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(c_COMBS(c_COMBB(c_HOL_Oinverse__class_Odivide(T_b),V_f,T_b,tc_fun(T_b,T_b),T_a),V_g,T_a,T_b,T_b),V_A,T_a,T_b) = hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_b),c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b)),c_Finite__Set_Osetprod(V_g,V_A,T_a,T_b)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_DomainE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Domain__iff_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__acc__down_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a)),V_R)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__induct__rule_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Oinduct_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_OaccI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Oinducts_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(t_a),V_ya),c_Wellfounded_Oacc(V_r,t_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Oinducts_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Oinduct_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_x)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(t_a),V_ya),c_Wellfounded_Oacc(V_r,t_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(t_a),V_x),c_Wellfounded_Oacc(V_r,t_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__induct_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_P,V_a)) % 1.50/1.51 | hBOOL(hAPP(V_P,V_y)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__insert_1,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__insert_2,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_RangeE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_ORange(V_r,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__iff_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tranclD2_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tranclD_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__gen__delta_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),V_c),V_S,T_a,T_b) = c_Power_Opower__class_Opower(V_c,c_Finite__Set_Ocard(V_S,T_a),T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__if_2,axiom, % 1.50/1.51 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__if_0,axiom, % 1.50/1.51 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__if_3,axiom, % 1.50/1.51 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__restrict__set_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_f,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_A) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__iff_1,axiom, % 1.50/1.51 ( 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))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converseI_0,axiom, % 1.50/1.51 ( 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))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_cut__apply_0,axiom, % 1.50/1.51 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_tfl__cut__apply_0,axiom, % 1.50/1.51 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_R)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__delta_H_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = c_HOL_Oone__class_Oone(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__delta_H_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = hAPP(V_b,V_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__delta_H_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__delta_H_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_fequal(T_a),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = hAPP(V_b,V_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Not__Domain__rtrancl_0,axiom, % 1.50/1.51 ( V_x = V_y % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Relation_ODomain(V_R,T_a,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Not__Domain__rtrancl_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Relation_ODomain(V_R,T_a,T_a))) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__downwards_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__downwards__aux_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_r__into__rtrancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_r__into__trancl_H_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),V_p),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__into__trancl2_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__into__trancl1_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__eq__or__trancl_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) % 1.50/1.51 | V_x = V_y ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__eq__or__trancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) % 1.50/1.51 | V_x = V_y % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtranclD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) % 1.50/1.51 | V_a = V_b % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__converseI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__converseD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__into__rtrancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__rtrancl__trancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__trancl__trancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__converseD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__converseI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimageD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimageE_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimageI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimageI2_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__eq_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_pred__equals__eq_0,axiom, % 1.50/1.51 ( 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) % 1.50/1.51 | V_R = V_S ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__wfD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__trancl_0,axiom, % 1.50/1.51 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_finite_0,axiom, % 1.50/1.51 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 1.50/1.51 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__converse_0,axiom, % 1.50/1.51 ( c_Relation_Osym(V_r,T_a) % 1.50/1.51 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__converse_1,axiom, % 1.50/1.51 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__domain_0,axiom, % 1.50/1.51 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__zero_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_b) % 1.50/1.51 | hAPP(V_f,V_x) != c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) = c_HOL_Ozero__class_Ozero(T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__zero__iff_2,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_b) % 1.50/1.51 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_b) % 1.50/1.51 | hAPP(V_f,V_x) != c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) = c_HOL_Ozero__class_Ozero(T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__less__0__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__Id_0,axiom, % 1.50/1.51 c_Relation_Osym(c_Relation_OId(T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Id__O__R_0,axiom, % 1.50/1.51 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ). % 1.50/1.51 % 1.50/1.51 cnf(cls_R__O__Id_0,axiom, % 1.50/1.51 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__Id__on_0,axiom, % 1.50/1.51 c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__converse__trancl_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__on__converse_0,axiom, % 1.50/1.51 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__on__converse_1,axiom, % 1.50/1.51 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__rtrancl_0,axiom, % 1.50/1.51 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__comp__self_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__comp__self_1,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(V_R,T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__Id_0,axiom, % 1.50/1.51 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__neq__one_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.50/1.51 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Domain__Id__on_0,axiom, % 1.50/1.51 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__conv__converse__eq_0,axiom, % 1.50/1.51 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__conv__converse__eq_1,axiom, % 1.50/1.51 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r % 1.50/1.51 | c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__range_0,axiom, % 1.50/1.51 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__def_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_A,T_b,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.50/1.51 | c_Finite__Set_Ofinite(V_A,T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__infinite_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(V_f,V_A,T_a,T_b) = c_HOL_Oone__class_Oone(T_b) % 1.50/1.51 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rel__comp_0,axiom, % 1.50/1.51 c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a) = c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__Id__on_0,axiom, % 1.50/1.51 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__on__Id__on_0,axiom, % 1.50/1.51 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__inv__image_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_r__comp__rtrancl__eq_0,axiom, % 1.50/1.51 c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__inv__image_0,axiom, % 1.50/1.51 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__trancl__absorb_0,axiom, % 1.50/1.51 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__Id_0,axiom, % 1.50/1.51 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__trancl_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_O__assoc_0,axiom, % 1.50/1.51 c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b) = c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__inv__image_0,axiom, % 1.50/1.51 c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a) = c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__converse_0,axiom, % 1.50/1.51 c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__eq__iff_0,axiom, % 1.50/1.51 ( ~ class_Nat_Osemiring__char__0(T_a) % 1.50/1.51 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) % 1.50/1.51 | V_m = V_n ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__Id__on_0,axiom, % 1.50/1.51 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_comp__equivI_0,axiom, % 1.50/1.51 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r % 1.50/1.51 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__Id_0,axiom, % 1.50/1.51 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__mlex_0,axiom, % 1.50/1.51 ( c_Wellfounded_Owf(c_Wellfounded_Omlex__prod(V_f,V_R,T_a),T_a) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__converse_0,axiom, % 1.50/1.51 c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = c_Relation_ODomain(V_r,T_a,T_b) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__Id__on_0,axiom, % 1.50/1.51 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ). % 1.50/1.51 % 1.50/1.51 cnf(cls_not__one__less__zero_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Ozero__class_Ozero(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__converse_0,axiom, % 1.50/1.51 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ). % 1.50/1.51 % 1.50/1.51 cnf(cls_one__neq__zero_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.50/1.51 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__def_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_a) % 1.50/1.51 | c_Finite__Set_Ofinite(V_A,T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__infinite_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),V_f),V_A) = c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv__comp__eq_0,axiom, % 1.50/1.51 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__idemp__self__comp_0,axiom, % 1.50/1.51 c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__converse_0,axiom, % 1.50/1.51 ( c_Relation_Oantisym(V_r,T_a) % 1.50/1.51 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__converse_1,axiom, % 1.50/1.51 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.50/1.51 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv_Orefl__on_0,axiom, % 1.50/1.51 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_zero__less__one_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Oone__class_Oone(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__converse_0,axiom, % 1.50/1.51 c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv_Osym_0,axiom, % 1.50/1.51 ( c_Relation_Osym(V_r,T_a) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Domain__converse_0,axiom, % 1.50/1.51 c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) = c_Relation_ORange(V_r,T_b,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__unfold__right_0,axiom, % 1.50/1.51 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__unfold__left_0,axiom, % 1.50/1.51 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__def_0,axiom, % 1.50/1.51 c_Relation_ORange(V_r,T_b,T_a) = c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_total__on__converse_0,axiom, % 1.50/1.51 ( c_Relation_Ototal__on(V_A,V_r,T_a) % 1.50/1.51 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_total__on__converse_1,axiom, % 1.50/1.51 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.50/1.51 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__code_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 1.50/1.51 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__code_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 1.50/1.51 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__measure_0,axiom, % 1.50/1.51 c_Wellfounded_Owf(c_Wellfounded_Omeasure(V_f,T_a),T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__rtrancl__absorb_0,axiom, % 1.50/1.51 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__idemp_0,axiom, % 1.50/1.51 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converseD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) % 1.50/1.51 | ~ 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))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_irrefl__def_0,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Oirrefl(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__into__trancl2_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl_Or__into__trancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__trans_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl_Ortrancl__refl_0,axiom, % 1.50/1.51 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_r,T_a))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rtrancl__eq__or__trancl_1,axiom, % 1.50/1.51 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Transitive__Closure_Ortrancl(V_R,T_a))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__asym_0,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_a,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisym__def_0,axiom, % 1.50/1.51 ( V_x = V_y % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_antisymD_0,axiom, % 1.50/1.51 ( V_a = V_b % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_congruent_Ocongruent_0,axiom, % 1.50/1.51 ( hAPP(V_f,V_y) = hAPP(V_f,V_z) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_z,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Id__on__iff_0,axiom, % 1.50/1.51 ( V_x = V_y % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_cuts__eq_0,axiom, % 1.50/1.51 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) != c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) % 1.50/1.51 | hAPP(V_f,V_y) = hAPP(V_g,V_y) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_pair__in__Id__conv_0,axiom, % 1.50/1.51 ( V_a = V_b % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Relation_OId(T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Nitpick_Orefl_H__def_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_wf__irrefl_0,axiom, % 1.50/1.51 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_in__inv__image_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_in__inv__image_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_b)),c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_Oinv__image(V_r,V_f,T_b,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_sym__def_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_symD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_a,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rel__compI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_c)),c_Pair(V_a,V_c,T_a,T_c)),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_c)),c_Pair(V_b,V_c,T_b,T_c)),V_s)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_r__r__into__trancl_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_R,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),V_R)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_R)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_trancl__trans_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_b,V_c,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),c_Transitive__Closure_Otrancl(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_pair__in__Id__conv_1,axiom, % 1.50/1.51 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId(T_a))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_IdI_0,axiom, % 1.50/1.51 hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),c_Relation_OId(T_a))) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__less__iff_0,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_of__nat__less__iff_1,axiom, % 1.50/1.51 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_complete__Lin_1,axiom, % 1.50/1.51 ( 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))) % 1.50/1.51 | V_a = V_b ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__delta_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = c_HOL_Oone__class_Oone(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__delta_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = hAPP(V_b,V_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setprod__delta_0,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_b) % 1.50/1.51 | c_Finite__Set_Osetprod(hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Oone__class_Oone(T_b)),V_S,T_a,T_b) = hAPP(V_b,V_a) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_setsum__delta_1,axiom, % 1.50/1.51 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 1.50/1.51 | hAPP(hAPP(c_Finite__Set_Osetsum(T_a,T_b),hAPP(c_COMBC(c_COMBS(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),V_b,T_a,T_b,tc_fun(T_b,T_b)),T_a,T_b,T_b),c_HOL_Ozero__class_Ozero(T_b))),V_S) = c_HOL_Ozero__class_Ozero(T_b) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_S)) % 1.50/1.51 | ~ c_Finite__Set_Ofinite(V_S,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_vimage__if_1,axiom, % 1.50/1.51 ( c_Set_Ovimage(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(T_b),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_B),tc_bool,tc_fun(T_b,tc_fun(T_b,T_b)),T_a),T_a,T_b,tc_fun(T_b,T_b)),V_c),T_a,T_b,T_b),V_d),V_A,T_a,T_b) = V_B % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(T_b),V_d),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mem__Sigma__iff_2,axiom, % 1.50/1.51 ( 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))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_SigmaI_0,axiom, % 1.50/1.51 ( 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))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc__downward_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_acc_Ocases_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Wellfounded_Oacc(V_r,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_y,V_a,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Wellfounded_Oacc(V_r,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_rev__ImageI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Image__iff_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Id__on__iff_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Id__on__eqI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),c_Relation_OId__on(V_A,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv__class__eq__iff_2,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_equiv__class__eq__iff_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Range__iff_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ORange(V_r,T_b,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_a,T_b,T_a)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_RangeI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_ORange(V_r,T_a,T_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_Domain__iff_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_x,T_a,T_b)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_DomainI_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Relation_ODomain(V_r,T_a,T_b))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_SigmaD2_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.50/1.51 | ~ 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))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_SigmaD1_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.50/1.51 | ~ 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))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_total__on__def_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_xa,T_a,T_a)),V_r)) % 1.50/1.51 | V_x = V_xa % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__on__def_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_x,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__onD2_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__onD1_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_refl__onD_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_a,T_a,T_a)),V_r)) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.50/1.51 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_mlex__less_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omlex__prod(V_f,V_R,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_in__measure_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_in__measure_0,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(V_f,V_x)),hAPP(V_f,V_y))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),c_Wellfounded_Omeasure(V_f,T_a))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_PW_1,axiom, % 1.50/1.51 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(v_P____))) % 1.50/1.51 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),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)),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))))) ) ). % 1.50/1.51 % 1.50/1.51 cnf(cls_PW_0,axiom, % 1.50/1.52 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),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)),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))))) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(v_P____))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_order__less__asym_H_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_order__less__asym_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.50/1.52 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_xt1_I9_J_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mktop_5,axiom, % 1.50/1.52 ( 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z))) % 1.50/1.52 | ~ 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)) % 1.50/1.52 | V_x = V_y % 1.50/1.52 | V_x = V_z ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mktop_3,axiom, % 1.50/1.52 ( 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z))) % 1.50/1.52 | ~ 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)) % 1.50/1.52 | V_y = V_z % 1.50/1.52 | V_x = V_z ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_Pair__eq_1,axiom, % 1.50/1.52 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.50/1.52 | V_b = V_b_H ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_Pair__eq_0,axiom, % 1.50/1.52 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.50/1.52 | V_a = V_a_H ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mktop_1,axiom, % 1.50/1.52 ~ 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x))) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mktop_0,axiom, % 1.50/1.52 ~ 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x))) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.52 | V_x = V_y % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_linorder__less__linear_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.50/1.52 | V_x = V_y % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_linorder__neqE_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.52 | V_x = V_y ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_linorder__neqE__nat_0,axiom, % 1.50/1.52 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_y),V_x)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_y)) % 1.50/1.52 | V_x = V_y ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_nat__less__cases_0,axiom, % 1.50/1.52 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) % 1.50/1.52 | V_m = V_n % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_nat__neq__iff_0,axiom, % 1.50/1.52 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_m)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_m),V_n)) % 1.50/1.52 | V_m = V_n ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.52 | V_x = V_y % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.50/1.52 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.50/1.52 | V_x = V_y ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mktop_2,axiom, % 1.50/1.52 ( 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)) % 1.50/1.52 | V_y = V_z % 1.50/1.52 | ~ 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_z))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_order__less__irrefl_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_linorder__neq__iff_1,axiom, % 1.50/1.52 ( ~ class_Orderings_Olinorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_order__less__le_1,axiom, % 1.50/1.52 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_less__not__refl_0,axiom, % 1.50/1.52 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_n),V_n)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_nat__less__le_1,axiom, % 1.50/1.52 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),V_x),V_x)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mkbot_4,axiom, % 1.50/1.52 ( V_x = V_y % 1.50/1.52 | V_y = V_x % 1.50/1.52 | 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mkbot_1,axiom, % 1.50/1.52 ~ 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x))) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mkbot_0,axiom, % 1.50/1.52 ~ 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_x))) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_order__less__trans_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Opreorder(T_a) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_xt1_I10_J_0,axiom, % 1.50/1.52 ( ~ class_Orderings_Oorder(T_a) % 1.50/1.52 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mkbot_5,axiom, % 1.50/1.52 ( 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z))) % 1.50/1.52 | ~ 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)) % 1.50/1.52 | V_x = V_y % 1.50/1.52 | V_y = V_z ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mkbot_3,axiom, % 1.50/1.52 ( 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z))) % 1.50/1.52 | ~ 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)) % 1.50/1.52 | V_x = V_z % 1.50/1.52 | V_y = V_z ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_mem__def_1,axiom, % 1.50/1.52 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) % 1.50/1.52 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_mem__def_0,axiom, % 1.50/1.52 ( hBOOL(hAPP(V_S,V_x)) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_COMBB__def_0,axiom, % 1.50/1.52 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_COMBC__def_0,axiom, % 1.50/1.52 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_COMBS__def_0,axiom, % 1.50/1.52 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mktop_4,axiom, % 1.50/1.52 ( V_xa = V_x % 1.50/1.52 | V_xa = V_x % 1.50/1.52 | 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,V_L),V_x))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_in__mkbot_2,axiom, % 1.50/1.52 ( 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)) % 1.50/1.52 | V_x = V_z % 1.50/1.52 | ~ 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)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,V_L),V_z))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_CHAINED_0,axiom, % 1.50/1.52 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_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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_Lab____),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_Lba____)))) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_CHAINED_1,axiom, % 1.50/1.52 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),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)),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))))) % 1.50/1.52 | ~ 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_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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_Lab____),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_Lba____)))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_CHAINED_0_01,axiom, % 1.50/1.52 ( 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_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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_Lab____),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_Lba____)))) % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),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)),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))))) ) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_conjecture_0,negated_conjecture, % 1.50/1.52 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(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))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),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)),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))))) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_prod__Finite__Set_Ofinite_Ofinite,axiom, % 1.50/1.52 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1)) % 1.50/1.52 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 1.50/1.52 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 1.50/1.52 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Lattices_Olattice(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 1.50/1.52 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Lattices_Olattice(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 1.50/1.52 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 1.50/1.52 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 1.50/1.52 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 1.50/1.52 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 1.50/1.52 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.50/1.52 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Lattices_Olattice,axiom, % 1.50/1.52 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Lattices_Olattice(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.50/1.52 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Orderings_Oorder(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Orderings_Otop,axiom, % 1.50/1.52 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Orderings_Otop(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__Orderings_Obot,axiom, % 1.50/1.52 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_Orderings_Obot(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_fun__HOL_Oord,axiom, % 1.50/1.52 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 1.50/1.52 | ~ class_HOL_Oord(T_1) ) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.50/1.52 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.50/1.52 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.50/1.52 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.50/1.52 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.50/1.52 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.50/1.52 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.50/1.52 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.50/1.52 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.50/1.52 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 1.50/1.52 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 1.50/1.52 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 1.50/1.52 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 1.50/1.52 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.50/1.52 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 1.50/1.52 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.50/1.52 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 1.50/1.52 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 1.50/1.52 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 1.50/1.52 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 1.50/1.52 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 1.50/1.52 class_Lattices_Oupper__semilattice(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 1.50/1.52 class_Lattices_Olower__semilattice(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 1.50/1.52 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 1.50/1.52 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 1.50/1.52 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 1.50/1.52 class_Ring__and__Field_Omult__zero(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 1.50/1.52 class_Ring__and__Field_Omult__mono(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 1.50/1.52 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 1.50/1.52 class_Lattices_Odistrib__lattice(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 1.50/1.52 class_Ring__and__Field_Osemiring(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 1.50/1.52 class_OrderedGroup_Omonoid__add(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 1.50/1.52 class_Nat_Osemiring__char__0(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 1.50/1.52 class_Ring__and__Field_Odvd(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.50/1.52 class_Orderings_Opreorder(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.50/1.52 class_Orderings_Olinorder(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Lattices_Olattice,axiom, % 1.50/1.52 class_Lattices_Olattice(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.50/1.52 class_Orderings_Oorder(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Orderings_Obot,axiom, % 1.50/1.52 class_Orderings_Obot(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__Power_Opower,axiom, % 1.50/1.52 class_Power_Opower(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_nat__HOL_Oord,axiom, % 1.50/1.52 class_HOL_Oord(tc_nat) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 1.50/1.52 class_Lattices_Oupper__semilattice(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 1.50/1.52 class_Lattices_Olower__semilattice(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 1.50/1.52 class_Lattices_Odistrib__lattice(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 1.50/1.52 class_Lattices_Obounded__lattice(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom, % 1.50/1.52 class_Lattices_Oboolean__algebra(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 1.50/1.52 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.50/1.52 class_Orderings_Opreorder(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Lattices_Olattice,axiom, % 1.50/1.52 class_Lattices_Olattice(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.50/1.52 class_Orderings_Oorder(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Orderings_Otop,axiom, % 1.50/1.52 class_Orderings_Otop(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__Orderings_Obot,axiom, % 1.50/1.52 class_Orderings_Obot(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(clsarity_bool__HOL_Oord,axiom, % 1.50/1.52 class_HOL_Oord(tc_bool) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_ATP__Linkup_OCOMBS__def_0,axiom, % 1.50/1.52 hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom, % 1.50/1.52 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom, % 1.50/1.52 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.50/1.52 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 1.50/1.52 % 1.50/1.52 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.50/1.52 ( V_X = V_Y % 1.50/1.52 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 1.50/1.52 % 1.50/1.52 %------------------------------------------------------------------------------ % 1.50/1.52 %------------------------------------------- % 1.50/1.52 % Proof found % 1.50/1.52 % SZS status Theorem for theBenchmark % 1.50/1.52 % SZS output start Proof % 1.50/1.52 %ClaNum:1716(EqnAxiom:375) % 1.50/1.52 %VarNum:12648(SingletonVarNum:3820) % 1.50/1.52 %MaxLitNum:6 % 1.50/1.52 %MaxfuncDepth:9 % 1.50/1.52 %SharedTerms:143 % 1.50/1.52 %goalClause: 589 % 1.50/1.52 %singleGoalClaCount:1 % 1.50/1.52 [376]P1(a1) % 1.50/1.52 [377]P2(a1) % 1.50/1.52 [378]P3(a2) % 1.50/1.52 [379]P56(a1) % 1.50/1.52 [380]P34(a1) % 1.50/1.52 [381]P45(a2) % 1.50/1.52 [382]P45(a1) % 1.50/1.52 [383]P69(a1) % 1.50/1.52 [384]P70(a1) % 1.50/1.52 [385]P35(a1) % 1.50/1.52 [386]P57(a1) % 1.50/1.52 [387]P36(a1) % 1.50/1.52 [388]P46(a1) % 1.50/1.52 [389]P59(a1) % 1.50/1.52 [390]P23(a2) % 1.50/1.52 [391]P23(a1) % 1.50/1.52 [392]P25(a2) % 1.50/1.52 [393]P25(a1) % 1.50/1.52 [394]P4(a2) % 1.50/1.52 [395]P71(a1) % 1.50/1.52 [396]P48(a1) % 1.50/1.52 [397]P49(a1) % 1.50/1.52 [398]P42(a1) % 1.50/1.52 [399]P24(a2) % 1.50/1.52 [400]P24(a1) % 1.50/1.52 [401]P26(a2) % 1.50/1.52 [402]P26(a1) % 1.50/1.52 [403]P27(a1) % 1.50/1.52 [404]P80(a1) % 1.50/1.52 [405]P60(a1) % 1.50/1.52 [406]P50(a2) % 1.50/1.52 [407]P50(a1) % 1.50/1.52 [408]P72(a1) % 1.50/1.52 [409]P73(a1) % 1.50/1.52 [410]P30(a1) % 1.50/1.52 [411]P33(a1) % 1.50/1.52 [412]P51(a2) % 1.50/1.52 [413]P61(a1) % 1.50/1.52 [414]P64(a1) % 1.50/1.52 [415]P5(a2) % 1.50/1.52 [416]P52(a2) % 1.50/1.52 [417]P52(a1) % 1.50/1.52 [418]P74(a1) % 1.50/1.52 [419]P37(a1) % 1.50/1.52 [420]P31(a1) % 1.50/1.52 [421]P53(a1) % 1.50/1.52 [422]P65(a1) % 1.50/1.52 [423]P47(a1) % 1.50/1.52 [424]P21(a2) % 1.50/1.52 [425]P21(a1) % 1.50/1.52 [426]P81(a1) % 1.50/1.52 [427]P28(a1) % 1.50/1.52 [589]~P83(f85(f85(f86(f91(a87,a87)),f69(a99,a100,a87,a87)),f94(f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f53(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a96,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a99),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))))) % 1.50/1.52 [571]P83(f85(f85(f86(f91(a87,a87)),f69(a92,a97,a87,a87)),f94(f85(f6(f85(f6(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f53(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),f85(f85(f57(a1),a102),f54(a1))),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a93),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a95)))) % 1.50/1.52 [434]P20(x4341,x4341,a1) % 1.50/1.52 [428]P6(f3(x4281),x4281) % 1.50/1.52 [429]P7(f3(x4291),x4291) % 1.50/1.52 [436]P20(f4(a1),x4361,a1) % 1.50/1.52 [438]P13(f3(x4381),x4381,x4381) % 1.50/1.52 [439]E(f76(f3(x4391),x4391,x4391),f3(x4391)) % 1.50/1.52 [440]P8(f60(f90(x4401,a2)),x4401) % 1.50/1.52 [449]E(f67(f3(x4491),x4491,x4491),f68(f90(x4491,a2))) % 1.50/1.52 [454]P14(f68(f90(x4541,a2)),f3(x4541),x4541) % 1.50/1.52 [572]~E(f68(f90(x5721,a2)),f60(f90(x5721,a2))) % 1.50/1.52 [578]~P83(f85(f85(f53(a1),x5781),f4(a1))) % 1.50/1.52 [441]E(f5(f60(f90(x4411,a2)),x4411),f4(a1)) % 1.50/1.52 [463]E(f85(f49(f90(x4631,a2)),f60(f90(x4631,a2))),f68(f90(x4631,a2))) % 1.50/1.52 [464]E(f85(f49(f90(x4641,a2)),f68(f90(x4641,a2))),f60(f90(x4641,a2))) % 1.50/1.52 [476]E(f67(f76(f3(x4761),x4761,x4761),x4761,x4761),f68(f90(x4761,a2))) % 1.50/1.52 [576]~P83(f85(f85(f53(a1),x5761),x5761)) % 1.50/1.52 [584]~P83(f85(f85(f53(a1),f4(a1)),f5(f60(f90(x5841,a2)),x5841))) % 1.50/1.52 [430]P6(f73(x4301,x4302),x4302) % 1.50/1.52 [431]P16(f74(x4311,x4312),x4312) % 1.50/1.52 [432]P7(f73(x4321,x4322),x4322) % 1.50/1.52 [443]P20(x4431,x4431,f90(x4432,a2)) % 1.50/1.52 [446]P14(x4461,f73(x4461,x4462),x4462) % 1.50/1.52 [447]P13(f73(x4471,x4472),x4472,x4472) % 1.50/1.52 [435]E(f75(f75(x4351,x4352),x4352),f75(x4351,x4352)) % 1.50/1.52 [444]E(f61(x4441,x4441,f90(x4442,a2)),x4441) % 1.50/1.52 [445]E(f62(x4451,x4451,f90(x4452,a2)),x4451) % 1.50/1.52 [448]E(f67(f73(x4481,x4482),x4482,x4482),x4481) % 1.50/1.52 [450]E(f76(f73(x4501,x4502),x4502,x4502),f73(x4501,x4502)) % 1.50/1.52 [452]P17(f60(f90(x4521,a2)),x4522,x4521) % 1.50/1.52 [453]E(f67(f75(x4531,x4532),x4532,x4532),f68(f90(x4532,a2))) % 1.50/1.52 [455]P20(x4551,f68(f90(x4552,a2)),f90(x4552,a2)) % 1.50/1.52 [456]P20(f60(f90(x4561,a2)),x4562,f90(x4561,a2)) % 1.50/1.52 [457]E(f61(x4571,f68(f90(x4572,a2)),f90(x4572,a2)),x4571) % 1.50/1.52 [458]E(f62(x4581,f60(f90(x4582,a2)),f90(x4582,a2)),x4581) % 1.50/1.52 [459]E(f61(f68(f90(x4591,a2)),x4592,f90(x4591,a2)),x4592) % 1.50/1.52 [460]E(f62(f60(f90(x4601,a2)),x4602,f90(x4601,a2)),x4602) % 1.50/1.52 [461]P14(f68(f90(x4611,a2)),f75(x4612,x4611),x4611) % 1.50/1.52 [467]E(f61(x4671,f60(f90(x4672,a2)),f90(x4672,a2)),f60(f90(x4672,a2))) % 1.50/1.52 [468]E(f62(x4681,f68(f90(x4682,a2)),f90(x4682,a2)),f68(f90(x4682,a2))) % 1.50/1.52 [469]E(f61(f60(f90(x4691,a2)),x4692,f90(x4691,a2)),f60(f90(x4691,a2))) % 1.50/1.52 [470]E(f62(f68(f90(x4701,a2)),x4702,f90(x4701,a2)),f68(f90(x4701,a2))) % 1.50/1.52 [477]E(f76(f75(x4771,x4772),x4772,x4772),f75(f76(x4771,x4772,x4772),x4772)) % 1.50/1.52 [486]E(f61(x4861,f85(f49(f90(x4862,a2)),x4861),f90(x4862,a2)),f60(f90(x4862,a2))) % 1.50/1.52 [487]E(f62(x4871,f85(f49(f90(x4872,a2)),x4871),f90(x4872,a2)),f68(f90(x4872,a2))) % 1.50/1.52 [488]E(f61(f85(f49(f90(x4881,a2)),x4882),x4882,f90(x4881,a2)),f60(f90(x4881,a2))) % 1.50/1.52 [489]E(f62(f85(f49(f90(x4891,a2)),x4892),x4892,f90(x4891,a2)),f68(f90(x4891,a2))) % 1.50/1.52 [492]E(f77(f3(x4921),x4922,x4921,x4921),x4922) % 1.50/1.52 [534]E(f80(f75(x5341,x5342),f75(x5341,x5342),x5342,x5342,x5342),f75(x5341,x5342)) % 1.50/1.52 [548]P83(f85(f85(f86(f91(x5481,x5481)),f69(x5482,x5482,x5481,x5481)),f3(x5481))) % 1.50/1.52 [554]E(f80(f75(x5541,x5542),x5541,x5542,x5542,x5542),f80(x5541,f75(x5541,x5542),x5542,x5542,x5542)) % 1.50/1.52 [451]P83(f85(f85(f83(x4511),x4512),x4512)) % 1.50/1.52 [462]P83(f85(f68(f90(x4621,a2)),x4622)) % 1.50/1.52 [472]E(f62(f75(x4721,x4722),f3(x4722),f90(f91(x4722,x4722),a2)),f75(x4721,x4722)) % 1.50/1.52 [479]P83(f85(f85(f86(x4791),x4792),f68(f90(x4791,a2)))) % 1.50/1.52 [480]E(f67(f76(f73(x4801,x4802),x4802,x4802),x4802,x4802),x4801) % 1.50/1.52 [490]E(f67(f76(f75(x4901,x4902),x4902,x4902),x4902,x4902),f68(f90(x4902,a2))) % 1.50/1.52 [506]P14(f68(f90(x5061,a2)),f62(x5062,f3(x5061),f90(f91(x5061,x5061),a2)),x5061) % 1.50/1.52 [514]P6(f62(x5141,f76(x5141,x5142,x5142),f90(f91(x5142,x5142),a2)),x5142) % 1.50/1.52 [535]E(f80(f75(x5351,x5352),f75(f75(x5351,x5352),x5352),x5352,x5352,x5352),f75(x5351,x5352)) % 1.50/1.52 [555]E(f75(f80(x5551,f75(x5551,x5552),x5552,x5552,x5552),x5552),f75(x5551,x5552)) % 1.50/1.52 [558]E(f67(f80(x5581,f75(x5581,x5582),x5582,x5582,x5582),x5582,x5582),f67(x5581,x5582,x5582)) % 1.50/1.52 [559]E(f62(f3(x5591),f80(f75(x5592,x5591),x5592,x5591,x5591,x5591),f90(f91(x5591,x5591),a2)),f75(x5592,x5591)) % 1.50/1.52 [561]E(f62(f80(x5611,f75(x5611,x5612),x5612,x5612,x5612),f3(x5612),f90(f91(x5612,x5612),a2)),f75(x5611,x5612)) % 1.50/1.52 [565]E(f80(f76(x5651,x5652,x5652),f75(f76(x5651,x5652,x5652),x5652),x5652,x5652,x5652),f76(f80(x5651,f75(x5651,x5652),x5652,x5652,x5652),x5652,x5652)) % 1.50/1.52 [570]E(f62(x5701,f80(f80(x5701,f75(x5701,x5702),x5702,x5702,x5702),x5701,x5702,x5702,x5702),f90(f91(x5702,x5702),a2)),f80(x5701,f75(x5701,x5702),x5702,x5702,x5702)) % 1.50/1.52 [580]~P83(f85(f60(f90(x5801,a2)),x5802)) % 1.50/1.52 [583]~P83(f85(f85(f86(x5831),x5832),f60(f90(x5831,a2)))) % 1.50/1.52 [475]E(f85(f49(f90(x4751,a2)),f85(f49(f90(x4751,a2)),x4752)),x4752) % 1.50/1.52 [493]E(f75(f62(x4931,f3(x4932),f90(f91(x4932,x4932),a2)),x4932),f75(x4931,x4932)) % 1.50/1.52 [566]E(f67(f76(f80(x5661,f75(x5661,x5662),x5662,x5662,x5662),x5662,x5662),x5662,x5662),f67(f76(x5661,x5662,x5662),x5662,x5662)) % 1.50/1.52 [545]E(f80(f62(x5451,f3(x5452),f90(f91(x5452,x5452),a2)),f75(f62(x5451,f3(x5452),f90(f91(x5452,x5452),a2)),x5452),x5452,x5452,x5452),f75(x5451,x5452)) % 1.50/1.52 [474]P20(x4741,f78(x4742,x4741,x4743),f90(x4743,a2)) % 1.50/1.52 [465]E(f61(x4651,x4652,f90(x4653,a2)),f61(x4652,x4651,f90(x4653,a2))) % 1.50/1.52 [466]E(f62(x4661,x4662,f90(x4663,a2)),f62(x4662,x4661,f90(x4663,a2))) % 1.50/1.52 [471]E(f76(f76(x4711,x4712,x4713),x4713,x4712),x4711) % 1.50/1.52 [481]E(f78(x4811,f78(x4811,x4812,x4813),x4813),f78(x4811,x4812,x4813)) % 1.50/1.52 [482]P20(x4821,f62(x4822,x4821,f90(x4823,a2)),f90(x4823,a2)) % 1.50/1.52 [483]P20(x4831,f62(x4831,x4832,f90(x4833,a2)),f90(x4833,a2)) % 1.50/1.52 [484]P20(f61(x4841,x4842,f90(x4843,a2)),x4842,f90(x4843,a2)) % 1.50/1.52 [485]P20(f61(x4851,x4852,f90(x4853,a2)),x4851,f90(x4853,a2)) % 1.50/1.52 [491]P83(f85(f78(x4911,x4912,x4913),x4911)) % 1.50/1.52 [494]E(f61(x4941,f61(x4941,x4942,f90(x4943,a2)),f90(x4943,a2)),f61(x4941,x4942,f90(x4943,a2))) % 1.50/1.52 [495]E(f62(x4951,f62(x4951,x4952,f90(x4953,a2)),f90(x4953,a2)),f62(x4951,x4952,f90(x4953,a2))) % 1.50/1.52 [498]P83(f85(f85(f86(x4981),x4982),f78(x4982,x4983,x4981))) % 1.50/1.52 [503]E(f62(f78(x5031,f60(f90(x5032,a2)),x5032),x5033,f90(x5032,a2)),f78(x5031,x5033,x5032)) % 1.50/1.52 [504]E(f77(f73(x5041,x5042),x5043,x5042,x5042),f61(x5041,x5043,f90(x5042,a2))) % 1.50/1.52 [532]E(f80(x5321,f3(x5322),x5323,x5322,x5322),x5321) % 1.50/1.52 [533]E(f80(f3(x5331),x5332,x5331,x5331,x5333),x5332) % 1.50/1.52 [550]P83(f85(f85(f86(f91(x5501,x5501)),f69(x5502,x5502,x5501,x5501)),f75(x5503,x5501))) % 1.50/1.52 [573]~E(f78(x5731,x5732,x5733),f60(f90(x5733,a2))) % 1.50/1.52 [574]~E(f60(f90(x5741,a2)),f78(x5742,x5743,x5741)) % 1.50/1.52 [500]E(f77(x5001,f60(f90(x5002,a2)),x5002,x5003),f60(f90(x5003,a2))) % 1.50/1.52 [501]E(f81(x5011,f60(f90(x5012,a2)),x5013,x5012),f60(f90(x5013,a2))) % 1.50/1.52 [502]E(f81(x5021,f68(f90(x5022,a2)),x5023,x5022),f68(f90(x5023,a2))) % 1.50/1.52 [509]E(f67(f76(f76(x5091,x5092,x5093),x5093,x5092),x5092,x5093),f67(x5091,x5092,x5093)) % 1.50/1.52 [518]E(f62(f85(f49(f90(x5181,a2)),x5182),f85(f49(f90(x5181,a2)),x5183),f90(x5181,a2)),f85(f49(f90(x5181,a2)),f61(x5182,x5183,f90(x5181,a2)))) % 1.50/1.52 [519]E(f61(f85(f49(f90(x5191,a2)),x5192),f85(f49(f90(x5191,a2)),x5193),f90(x5191,a2)),f85(f49(f90(x5191,a2)),f62(x5192,x5193,f90(x5191,a2)))) % 1.50/1.52 [585]~P83(f85(f85(f86(f91(a87,a87)),f69(x5851,x5852,a87,a87)),f85(f85(a8,x5853),x5851))) % 1.50/1.52 [586]~P83(f85(f85(f86(f91(a87,a87)),f69(x5861,x5862,a87,a87)),f85(f85(a9,x5863),x5862))) % 1.50/1.52 [525]E(f75(f62(f75(x5251,x5252),f75(x5253,x5252),f90(f91(x5252,x5252),a2)),x5252),f75(f62(x5251,x5253,f90(f91(x5252,x5252),a2)),x5252)) % 1.50/1.52 [529]P20(f62(f75(x5291,x5292),f75(x5293,x5292),f90(f91(x5292,x5292),a2)),f75(f62(x5291,x5293,f90(f91(x5292,x5292),a2)),x5292),f90(f91(x5292,x5292),a2)) % 1.50/1.52 [499]E(f78(x4991,f78(x4992,x4993,x4994),x4994),f78(x4992,f78(x4991,x4993,x4994),x4994)) % 1.50/1.52 [510]E(f61(x5101,f61(x5102,x5103,f90(x5104,a2)),f90(x5104,a2)),f61(x5102,f61(x5101,x5103,f90(x5104,a2)),f90(x5104,a2))) % 1.50/1.52 [511]E(f62(x5111,f62(x5112,x5113,f90(x5114,a2)),f90(x5114,a2)),f62(x5112,f62(x5111,x5113,f90(x5114,a2)),f90(x5114,a2))) % 1.50/1.52 [512]E(f61(f61(x5121,x5122,f90(x5123,a2)),x5124,f90(x5123,a2)),f61(x5121,f61(x5122,x5124,f90(x5123,a2)),f90(x5123,a2))) % 1.50/1.52 [513]E(f62(f62(x5131,x5132,f90(x5133,a2)),x5134,f90(x5133,a2)),f62(x5131,f62(x5132,x5134,f90(x5133,a2)),f90(x5133,a2))) % 1.50/1.52 [521]E(f62(f61(x5211,x5212,f90(x5213,a2)),f61(x5211,x5214,f90(x5213,a2)),f90(x5213,a2)),f61(x5211,f62(x5212,x5214,f90(x5213,a2)),f90(x5213,a2))) % 1.50/1.52 [522]E(f61(f62(x5221,x5222,f90(x5223,a2)),f62(x5221,x5224,f90(x5223,a2)),f90(x5223,a2)),f62(x5221,f61(x5222,x5224,f90(x5223,a2)),f90(x5223,a2))) % 1.50/1.52 [523]E(f62(f61(x5231,x5232,f90(x5233,a2)),f61(x5234,x5232,f90(x5233,a2)),f90(x5233,a2)),f61(f62(x5231,x5234,f90(x5233,a2)),x5232,f90(x5233,a2))) % 1.50/1.52 [524]E(f61(f62(x5241,x5242,f90(x5243,a2)),f62(x5244,x5242,f90(x5243,a2)),f90(x5243,a2)),f62(f61(x5241,x5244,f90(x5243,a2)),x5242,f90(x5243,a2))) % 1.50/1.52 [527]E(f76(f79(x5271,x5272,x5273,x5274),x5274,x5274),f79(f76(x5271,x5273,x5273),x5272,x5273,x5274)) % 1.50/1.52 [544]E(f62(f62(f61(x5441,x5442,f90(x5443,a2)),f61(x5442,x5444,f90(x5443,a2)),f90(x5443,a2)),f61(x5444,x5441,f90(x5443,a2)),f90(x5443,a2)),f61(f61(f62(x5441,x5442,f90(x5443,a2)),f62(x5442,x5444,f90(x5443,a2)),f90(x5443,a2)),f62(x5444,x5441,f90(x5443,a2)),f90(x5443,a2))) % 1.50/1.52 [507]E(f78(x5071,f62(x5072,x5073,f90(x5074,a2)),x5074),f62(x5072,f78(x5071,x5073,x5074),f90(x5074,a2))) % 1.50/1.52 [508]E(f78(x5081,f62(x5082,x5083,f90(x5084,a2)),x5084),f62(f78(x5081,x5082,x5084),x5083,f90(x5084,a2))) % 1.50/1.52 [515]E(f61(f78(x5151,x5152,x5153),f78(x5151,x5154,x5153),f90(x5153,a2)),f78(x5151,f61(x5152,x5154,f90(x5153,a2)),x5153)) % 1.50/1.52 [520]E(f62(f67(x5201,x5202,x5203),f67(x5204,x5202,x5203),f90(x5202,a2)),f67(f62(x5201,x5204,f90(f91(x5202,x5203),a2)),x5202,x5203)) % 1.50/1.52 [526]E(f62(f76(x5261,x5262,x5263),f76(x5264,x5262,x5263),f90(f91(x5263,x5262),a2)),f76(f62(x5261,x5264,f90(f91(x5262,x5263),a2)),x5262,x5263)) % 1.50/1.52 [528]E(f81(x5281,f85(f49(f90(x5282,a2)),x5283),x5284,x5282),f85(f49(f90(x5284,a2)),f81(x5281,x5283,x5284,x5282))) % 1.50/1.52 [537]E(f62(f67(f76(x5371,x5372,x5373),x5373,x5372),f67(f76(x5374,x5372,x5373),x5373,x5372),f90(x5373,a2)),f67(f76(f62(x5371,x5374,f90(f91(x5372,x5373),a2)),x5372,x5373),x5373,x5372)) % 1.50/1.52 [546]P83(f85(f85(f86(x5461),x5462),f81(x5463,f78(f85(x5463,x5462),f60(f90(x5464,a2)),x5464),x5461,x5464))) % 1.50/1.52 [543]E(f62(f81(x5431,f78(x5432,f60(f90(x5433,a2)),x5433),x5434,x5433),f81(x5431,x5435,x5434,x5433),f90(x5434,a2)),f81(x5431,f78(x5432,x5435,x5433),x5434,x5433)) % 1.50/1.52 [564]E(f80(f76(x5641,x5642,x5643),f76(x5644,x5645,x5642),x5643,x5642,x5645),f76(f80(x5644,x5641,x5645,x5642,x5643),x5645,x5643)) % 1.50/1.52 [536]E(f67(f78(f69(x5361,x5362,x5363,x5364),x5365,f91(x5363,x5364)),x5363,x5364),f78(x5361,f67(x5365,x5363,x5364),x5363)) % 1.50/1.52 [538]E(f62(f77(x5381,x5382,x5383,x5384),f77(x5381,x5385,x5383,x5384),f90(x5384,a2)),f77(x5381,f62(x5382,x5385,f90(x5383,a2)),x5383,x5384)) % 1.50/1.52 [539]E(f61(f81(x5391,x5392,x5393,x5394),f81(x5391,x5395,x5393,x5394),f90(x5393,a2)),f81(x5391,f61(x5392,x5395,f90(x5394,a2)),x5393,x5394)) % 1.50/1.52 [540]E(f62(f81(x5401,x5402,x5403,x5404),f81(x5401,x5405,x5403,x5404),f90(x5403,a2)),f81(x5401,f62(x5402,x5405,f90(x5404,a2)),x5403,x5404)) % 1.50/1.52 [541]E(f62(f70(x5411,x5412,x5413,x5414),f70(x5415,x5412,x5413,x5414),f90(f91(x5413,x5414),a2)),f70(f62(x5411,x5415,f90(x5413,a2)),x5412,x5413,x5414)) % 1.50/1.52 [563]P20(f77(x5631,f61(x5632,x5633,f90(x5634,a2)),x5634,x5635),f61(f77(x5631,x5632,x5634,x5635),f77(x5631,x5633,x5634,x5635),f90(x5635,a2)),f90(x5635,a2)) % 1.50/1.52 [542]E(f62(f77(x5421,x5422,x5423,x5424),f77(x5425,x5422,x5423,x5424),f90(x5424,a2)),f77(f62(x5421,x5425,f90(f91(x5423,x5424),a2)),x5422,x5423,x5424)) % 1.50/1.52 [562]E(f67(f76(f78(f69(x5621,x5622,x5623,x5624),x5625,f91(x5623,x5624)),x5623,x5624),x5624,x5623),f78(x5622,f67(f76(x5625,x5623,x5624),x5624,x5623),x5624)) % 1.50/1.52 [552]E(f85(f7(x5521,x5522,x5523,x5524,x5525),x5526),f85(x5521,f85(x5522,x5526))) % 1.50/1.52 [557]E(f85(f48(x5571,x5572,x5573,x5574,x5575),x5576),f85(f85(x5571,x5576),f85(x5572,x5576))) % 1.50/1.52 [531]E(f85(f85(f6(x5311,x5312,x5313,x5314),x5315),x5316),f85(f85(x5311,x5316),x5315)) % 1.50/1.52 [567]E(f62(f80(x5671,x5672,x5673,x5674,x5675),f80(x5671,x5676,x5673,x5674,x5675),f90(f91(x5673,x5675),a2)),f80(x5671,f62(x5672,x5676,f90(f91(x5674,x5675),a2)),x5673,x5674,x5675)) % 1.50/1.52 [568]E(f62(f80(x5681,x5682,x5683,x5684,x5685),f80(x5686,x5682,x5683,x5684,x5685),f90(f91(x5683,x5685),a2)),f80(f62(x5681,x5686,f90(f91(x5683,x5684),a2)),x5682,x5683,x5684,x5685)) % 1.50/1.52 [569]E(f80(f80(x5691,x5692,x5693,x5694,x5695),x5696,x5693,x5695,x5697),f80(x5691,f80(x5692,x5696,x5694,x5695,x5697),x5693,x5694,x5697)) % 1.50/1.52 [1713]~P83(f85(f85(f86(f91(a87,a87)),f69(a99,a101,a87,a87)),f94(a96)))+P83(f85(f85(f86(f91(a87,a87)),f69(a99,a101,a87,a87)),f94(f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f53(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a96,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a99),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))))) % 1.50/1.52 [1714]P83(f85(f85(f86(f91(a87,a87)),f69(a99,a101,a87,a87)),f94(a96)))+~P83(f85(f85(f86(f91(a87,a87)),f69(a99,a101,a87,a87)),f94(f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f53(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a96,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a99),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))))) % 1.50/1.52 [1715]P83(f85(f85(f86(f91(a87,a87)),f69(a99,a100,a87,a87)),f94(f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f53(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f7(a8,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f48(f48(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f83(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),a102),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),f85(f6(f85(f6(f7(a10,a96,f90(f91(a87,a87),a2),f90(a87,f90(a87,f90(f91(a87,a87),a2))),a89),a89,a87,f90(a87,f90(f91(a87,a87),a2))),a99),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),f85(f6(f7(a9,a96,f90(f91(a87,a87),a2),f90(a87,f90(f91(a87,a87),a2)),a89),a89,a87,f90(f91(a87,a87),a2)),a100),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)))))+~P83(f85(f85(f86(f91(a87,a87)),f69(a92,a97,a87,a87)),f94(f85(f6(f85(f6(f7(f50(f90(f91(a87,a87),a2)),f85(f6(f7(f53(a1),a98,a1,f90(a1,a2),a89),a89,a1,a2),f85(f85(f57(a1),a102),f54(a1))),a2,f90(f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a89),a89,f90(f91(a87,a87),a2),f90(f90(f91(a87,a87),a2),f90(f91(a87,a87),a2))),a93),a89,f90(f91(a87,a87),a2),f90(f91(a87,a87),a2)),a95)))) % 1.50/1.52 [591]~P80(x5911)+~E(f54(x5911),f4(x5911)) % 1.50/1.52 [678]~P56(x6781)+P20(f4(x6781),f54(x6781),x6781) % 1.50/1.52 [695]E(x6951,f4(a1))+~P20(x6951,f4(a1),a1) % 1.50/1.52 [728]~P56(x7281)+~P20(f54(x7281),f4(x7281),x7281) % 1.50/1.52 [594]~P82(x5941)+E(f58(f4(x5941),x5941),f4(x5941)) % 1.50/1.52 [595]~P66(x5951)+E(f58(f4(x5951),x5951),f4(x5951)) % 1.50/1.52 [596]~P81(x5961)+E(f85(f63(x5961),f4(a1)),f4(x5961)) % 1.50/1.52 [610]~P43(x6101)+E(f85(f49(x6101),f4(x6101)),f4(x6101)) % 1.50/1.52 [611]~P38(x6111)+E(f85(f49(x6111),f4(x6111)),f4(x6111)) % 1.50/1.52 [612]~P4(x6121)+E(f85(f49(x6121),f60(x6121)),f68(x6121)) % 1.50/1.52 [613]~P4(x6131)+E(f85(f49(x6131),f68(x6131)),f60(x6131)) % 1.50/1.52 [690]~P39(x6901)+E(f85(f85(f57(x6901),f4(x6901)),f4(x6901)),f4(x6901)) % 1.50/1.52 [760]~P56(x7601)+P83(f85(f85(f53(x7601),f4(x7601)),f54(x7601))) % 1.50/1.52 [887]~P56(x8871)+~P83(f85(f85(f53(x8871),f54(x8871)),f4(x8871))) % 1.50/1.52 [722]E(x7221,f4(a1))+P83(f85(f85(f53(a1),f4(a1)),x7221)) % 1.50/1.52 [1108]~P56(x11081)+P83(f85(f85(f53(x11081),f4(x11081)),f85(f85(f57(x11081),f54(x11081)),f54(x11081)))) % 1.50/1.52 [1193]~P68(x11931)+E(f85(f85(f57(x11931),f85(f85(f59(x11931),f4(x11931)),f4(x11931))),f85(f85(f59(x11931),f4(x11931)),f4(x11931))),f4(x11931)) % 1.50/1.52 [1381]~P68(x13811)+P20(f85(f85(f57(x13811),f85(f85(f59(x13811),f4(x13811)),f4(x13811))),f85(f85(f59(x13811),f4(x13811)),f4(x13811))),f4(x13811),x13811) % 1.50/1.52 [1175]~P8(f68(f90(x11751,a2)),x11751)+P83(f85(f85(f53(a1),f4(a1)),f5(f68(f90(x11751,a2)),x11751))) % 1.50/1.52 [1521]~P68(x15211)+~P83(f85(f85(f53(x15211),f4(x15211)),f85(f85(f57(x15211),f85(f85(f59(x15211),f4(x15211)),f4(x15211))),f85(f85(f59(x15211),f4(x15211)),f4(x15211))))) % 1.50/1.52 [592]~P5(x5922)+P8(x5921,x5922) % 1.50/1.52 [597]~P16(x5971,x5972)+P18(x5971,x5972) % 1.50/1.52 [622]~P50(x6222)+P20(x6221,x6221,x6222) % 1.50/1.52 [623]~P52(x6232)+P20(x6231,x6231,x6232) % 1.50/1.52 [624]~P1(x6242)+P19(x6241,x6241,x6242) % 1.50/1.52 [720]P20(x7202,x7201,a1)+P20(x7201,x7202,a1) % 1.50/1.52 [593]P8(x5931,x5932)+E(f5(x5931,x5932),f4(a1)) % 1.50/1.52 [598]~P3(x5982)+P3(f90(x5981,x5982)) % 1.50/1.52 [599]~P45(x5992)+P45(f90(x5991,x5992)) % 1.50/1.52 [600]~P23(x6002)+P23(f90(x6001,x6002)) % 1.50/1.52 [601]~P23(x6012)+P25(f90(x6011,x6012)) % 1.50/1.52 [602]~P4(x6022)+P4(f90(x6021,x6022)) % 1.50/1.52 [603]~P24(x6032)+P24(f90(x6031,x6032)) % 1.50/1.52 [604]~P23(x6042)+P26(f90(x6041,x6042)) % 1.50/1.52 [605]~P50(x6052)+P50(f90(x6051,x6052)) % 1.50/1.52 [606]~P51(x6062)+P51(f90(x6061,x6062)) % 1.50/1.52 [607]~P52(x6072)+P52(f90(x6071,x6072)) % 1.50/1.52 [608]~P21(x6082)+P21(f90(x6081,x6082)) % 1.50/1.52 [625]~P25(x6252)+E(f61(x6251,x6251,x6252),x6251) % 1.50/1.52 [626]~P26(x6262)+E(f62(x6261,x6261,x6262),x6261) % 1.50/1.52 [627]~P6(x6271,x6272)+P6(f75(x6271,x6272),x6272) % 1.50/1.52 [628]~P18(x6281,x6282)+P7(f75(x6281,x6282),x6282) % 1.50/1.52 [644]~P51(x6442)+P20(x6441,f68(x6442),x6442) % 1.50/1.52 [645]~P1(x6452)+P19(x6451,f4(x6452),x6452) % 1.50/1.52 [646]~P45(x6461)+P20(f60(x6461),x6462,x6461) % 1.50/1.52 [647]~P1(x6471)+P19(f54(x6471),x6472,x6471) % 1.50/1.52 [689]~P6(x6891,x6892)+E(f76(x6891,x6892,x6892),x6891) % 1.50/1.52 [702]P6(x7021,x7022)+~E(f76(x7021,x7022,x7022),x7021) % 1.50/1.52 [744]~P6(x7441,x7442)+P6(f76(x7441,x7442,x7442),x7442) % 1.50/1.52 [747]~P18(x7471,x7472)+P18(f76(x7471,x7472,x7472),x7472) % 1.50/1.52 [748]~P7(x7481,x7482)+P7(f76(x7481,x7482,x7482),x7482) % 1.50/1.52 [844]P6(x8441,x8442)+~P6(f76(x8441,x8442,x8442),x8442) % 1.50/1.52 [846]P18(x8461,x8462)+~P18(f76(x8461,x8462,x8462),x8462) % 1.50/1.52 [847]P7(x8471,x8472)+~P7(f76(x8471,x8472,x8472),x8472) % 1.50/1.52 [1503]~P16(x15031,x15032)+P16(f80(x15031,x15031,x15032,x15032,x15032),x15032) % 1.50/1.52 [1542]P16(x15421,x15422)+~P16(f80(x15421,x15421,x15422,x15422,x15422),x15422) % 1.50/1.52 [621]~P66(x6212)+E(f58(f58(x6211,x6212),x6212),f58(x6211,x6212)) % 1.50/1.52 [637]~P62(x6371)+E(f85(f85(f56(x6371),x6372),f54(x6371)),x6372) % 1.50/1.52 [638]~P1(x6381)+E(f85(f85(f57(x6381),x6382),f4(x6381)),x6382) % 1.50/1.52 [639]~P2(x6391)+E(f85(f85(f57(x6391),x6392),f4(x6391)),x6392) % 1.50/1.52 [640]~P37(x6401)+E(f85(f85(f57(x6401),x6402),f4(x6401)),x6402) % 1.50/1.52 [641]~P1(x6411)+E(f85(f85(f59(x6411),x6412),f54(x6411)),x6412) % 1.50/1.52 [642]~P35(x6421)+E(f85(f85(f59(x6421),x6422),f54(x6421)),x6422) % 1.50/1.52 [643]~P38(x6431)+E(f85(f85(f55(x6431),x6432),f4(x6431)),x6432) % 1.50/1.52 [648]~P3(x6482)+E(f61(x6481,f68(x6482),x6482),x6481) % 1.50/1.52 [649]~P3(x6492)+E(f62(x6491,f60(x6492),x6492),x6491) % 1.50/1.52 [650]~P3(x6501)+E(f61(f68(x6501),x6502,x6501),x6502) % 1.50/1.52 [651]~P3(x6511)+E(f62(f60(x6511),x6512,x6511),x6512) % 1.50/1.52 [652]~P1(x6522)+E(f71(x6521,f4(a1),x6522),f54(x6522)) % 1.50/1.52 [653]~P48(x6532)+E(f71(x6531,f4(a1),x6532),f54(x6532)) % 1.50/1.52 [656]~P1(x6561)+E(f85(f85(f59(x6561),x6562),f4(x6561)),f4(x6561)) % 1.50/1.52 [657]~P76(x6571)+E(f85(f85(f59(x6571),x6572),f4(x6571)),f4(x6571)) % 1.50/1.52 [658]~P60(x6581)+E(f85(f85(f59(x6581),x6582),f4(x6581)),f4(x6581)) % 1.50/1.52 [660]~P3(x6602)+E(f61(x6601,f60(x6602),x6602),f60(x6602)) % 1.50/1.52 [661]~P3(x6612)+E(f62(x6611,f68(x6612),x6612),f68(x6612)) % 1.50/1.52 [662]~P3(x6621)+E(f61(f60(x6621),x6622,x6621),f60(x6621)) % 1.50/1.52 [663]~P3(x6631)+E(f62(f68(x6631),x6632,x6631),f68(x6631)) % 1.50/1.52 [664]~P35(x6641)+E(f71(f54(x6641),x6642,x6641),f54(x6641)) % 1.50/1.52 [716]~P56(x7161)+P20(f4(x7161),f85(f63(x7161),x7162),x7161) % 1.50/1.52 [886]~P20(x8861,f60(f90(x8862,a2)),f90(x8862,a2))+E(x8861,f60(f90(x8862,a2))) % 1.50/1.52 [926]P8(x9261,x9262)+~P83(f85(f85(f53(a1),f4(a1)),f5(x9261,x9262))) % 1.50/1.52 [1126]P16(x11261,x11262)+~P83(f85(f85(f86(x11262),f11(x11261,x11262)),f82(x11261,x11262))) % 1.50/1.52 [1127]P16(x11271,x11272)+~P83(f85(f85(f86(x11272),f12(x11271,x11272)),f82(x11271,x11272))) % 1.50/1.52 [1134]~P56(x11341)+~P83(f85(f85(f53(x11341),f85(f63(x11341),x11342)),f4(x11341))) % 1.50/1.52 [1333]E(f69(f14(x13331,x13332),f14(x13331,x13332),x13332,x13332),x13331)+~P83(f85(f85(f86(f91(x13332,x13332)),x13331),f3(x13332))) % 1.50/1.52 [1338]~P68(x13381)+~P83(f85(f85(f53(x13381),f85(f85(f59(x13381),x13382),x13382)),f4(x13381))) % 1.50/1.52 [1496]P9(f67(x14961,x14962,x14962),x14961,x14962)+~E(f80(f76(x14961,x14962,x14962),x14961,x14962,x14962,x14962),x14961) % 1.50/1.52 [1497]E(x14971,x14972)+P83(f85(f85(f86(f91(a87,a87)),f69(x14971,x14972,a87,a87)),f105(x14971,x14972))) % 1.50/1.52 [1505]~P6(x15051,x15052)+P6(f80(x15051,f75(x15051,x15052),x15052,x15052,x15052),x15052) % 1.50/1.52 [1506]~P16(x15061,x15062)+P16(f80(x15061,f75(x15061,x15062),x15062,x15062,x15062),x15062) % 1.50/1.52 [620]~P32(x6201)+E(f85(f85(f59(x6201),x6202),x6202),x6202) % 1.50/1.52 [629]~P29(x6291)+E(f85(f85(f55(x6291),x6292),x6292),f4(x6291)) % 1.50/1.52 [631]~P38(x6311)+E(f85(f85(f55(x6311),x6312),x6312),f4(x6311)) % 1.50/1.52 [635]~P38(x6351)+E(f85(f49(x6351),f85(f49(x6351),x6352)),x6352) % 1.50/1.52 [636]~P4(x6361)+E(f85(f49(x6361),f85(f49(x6361),x6362)),x6362) % 1.50/1.52 [666]~P1(x6661)+E(f85(f85(f57(x6661),f4(x6661)),x6662),x6662) % 1.50/1.52 [667]~P2(x6671)+E(f85(f85(f57(x6671),f4(x6671)),x6672),x6672) % 1.50/1.52 [668]~P37(x6681)+E(f85(f85(f57(x6681),f4(x6681)),x6682),x6682) % 1.50/1.52 [670]~P1(x6701)+E(f85(f85(f59(x6701),f54(x6701)),x6702),x6702) % 1.50/1.52 [671]~P35(x6711)+E(f85(f85(f59(x6711),f54(x6711)),x6712),x6712) % 1.50/1.52 [672]~P36(x6721)+E(f85(f85(f59(x6721),f54(x6721)),x6722),x6722) % 1.50/1.52 [679]~P62(x6791)+E(f85(f85(f56(x6791),f4(x6791)),x6792),f4(x6791)) % 1.50/1.52 [681]~P1(x6811)+E(f85(f85(f59(x6811),f4(x6811)),x6812),f4(x6811)) % 1.50/1.52 [682]~P76(x6821)+E(f85(f85(f59(x6821),f4(x6821)),x6822),f4(x6821)) % 1.50/1.52 [683]~P60(x6831)+E(f85(f85(f59(x6831),f4(x6831)),x6832),f4(x6831)) % 1.50/1.52 [694]~P38(x6941)+E(f85(f85(f55(x6941),f4(x6941)),x6942),f85(f49(x6941),x6942)) % 1.50/1.52 [701]~P38(x7011)+E(f85(f85(f57(x7011),x7012),f85(f49(x7011),x7012)),f4(x7011)) % 1.50/1.52 [705]~P4(x7052)+E(f61(x7051,f85(f49(x7052),x7051),x7052),f60(x7052)) % 1.50/1.52 [706]~P4(x7062)+E(f62(x7061,f85(f49(x7062),x7061),x7062),f68(x7062)) % 1.50/1.52 [707]~P4(x7071)+E(f61(f85(f49(x7071),x7072),x7072,x7071),f60(x7071)) % 1.50/1.52 [708]~P4(x7081)+E(f62(f85(f49(x7081),x7082),x7082,x7081),f68(x7081)) % 1.50/1.52 [788]~P68(x7881)+P20(f4(x7881),f85(f85(f59(x7881),x7882),x7882),x7881) % 1.50/1.52 [794]~P49(x7941)+~P83(f85(f85(f53(x7941),x7942),x7942)) % 1.50/1.52 [795]~P50(x7951)+~P83(f85(f85(f53(x7951),x7952),x7952)) % 1.50/1.52 [796]~P52(x7961)+~P83(f85(f85(f53(x7961),x7962),x7962)) % 1.50/1.52 [833]P20(x8331,x8332,a1)+~P83(f85(f85(f53(a1),x8331),x8332)) % 1.50/1.52 [879]~P63(x8791)+E(f85(f85(f59(x8791),f85(f49(x8791),x8792)),f85(f49(x8791),x8792)),f85(f85(f59(x8791),x8792),x8792)) % 1.50/1.52 [962]~P7(x9621,x9622)+P7(f62(x9621,f3(x9622),f90(f91(x9622,x9622),a2)),x9622) % 1.50/1.52 [1019]~P56(x10191)+P83(f85(f85(f53(x10191),x10192),f85(f85(f57(x10191),x10192),f54(x10191)))) % 1.50/1.52 [1034]~P20(x10341,f85(f49(f90(x10342,a2)),x10341),f90(x10342,a2))+E(x10341,f60(f90(x10342,a2))) % 1.50/1.52 [1170]P7(x11701,x11702)+~P7(f62(x11701,f3(x11702),f90(f91(x11702,x11702),a2)),x11702) % 1.50/1.52 [1585]~P16(f76(x15851,x15852,x15852),x15852)+P16(f76(f80(x15851,f75(x15851,x15852),x15852,x15852,x15852),x15852,x15852),x15852) % 1.50/1.52 [740]~P29(x7401)+E(f85(f85(f57(x7401),f85(f49(x7401),x7402)),x7402),f4(x7401)) % 1.50/1.52 [742]~P38(x7421)+E(f85(f85(f57(x7421),f85(f49(x7421),x7422)),x7422),f4(x7421)) % 1.50/1.52 [797]~P22(x7971)+E(f85(f85(f59(x7971),f85(f49(x7971),f54(x7971))),x7972),f85(f49(x7971),x7972)) % 1.50/1.52 [1088]~P1(x10881)+E(f85(f85(f57(x10881),x10882),x10882),f85(f85(f59(x10881),f85(f85(f57(x10881),f54(x10881)),f54(x10881))),x10882)) % 1.50/1.52 [1515]P15(x15151,x15152)+P83(f85(f85(f86(f91(x15152,x15152)),f69(f24(x15151,x15152),f24(x15151,x15152),x15152,x15152)),x15151)) % 1.50/1.52 [1563]P12(x15631,x15632)+~P83(f85(f85(f86(f91(x15632,x15632)),f69(f66(x15631,x15632),f66(x15631,x15632),x15632,x15632)),x15631)) % 1.50/1.52 [699]P6(x6991,x6992)+~P9(x6993,x6991,x6992) % 1.50/1.52 [743]~P9(x7431,x7432,x7433)+P14(x7431,x7432,x7433) % 1.50/1.52 [729]~P23(x7293)+E(f61(x7291,x7292,x7293),f61(x7292,x7291,x7293)) % 1.50/1.52 [730]~P25(x7303)+E(f61(x7301,x7302,x7303),f61(x7302,x7301,x7303)) % 1.50/1.52 [731]~P23(x7313)+E(f62(x7311,x7312,x7313),f62(x7312,x7311,x7313)) % 1.50/1.52 [732]~P26(x7323)+E(f62(x7321,x7322,x7323),f62(x7322,x7321,x7323)) % 1.50/1.52 [745]~P8(x7452,x7453)+P8(f78(x7451,x7452,x7453),x7453) % 1.50/1.52 [746]~P16(x7462,x7463)+P16(f84(x7461,x7462,x7463),x7463) % 1.50/1.52 [772]~P23(x7723)+P20(x7721,f62(x7722,x7721,x7723),x7723) % 1.50/1.52 [773]~P26(x7733)+P20(x7731,f62(x7732,x7731,x7733),x7733) % 1.50/1.52 [774]~P23(x7743)+P20(x7741,f62(x7741,x7742,x7743),x7743) % 1.50/1.52 [775]~P26(x7753)+P20(x7751,f62(x7751,x7752,x7753),x7753) % 1.50/1.52 [776]~P23(x7763)+P20(f61(x7761,x7762,x7763),x7762,x7763) % 1.50/1.52 [777]~P25(x7773)+P20(f61(x7771,x7772,x7773),x7772,x7773) % 1.50/1.52 [778]~P23(x7783)+P20(f61(x7781,x7782,x7783),x7781,x7783) % 1.50/1.52 [779]~P25(x7793)+P20(f61(x7791,x7792,x7793),x7791,x7793) % 1.50/1.52 [845]P8(x8451,x8452)+~P8(f78(x8453,x8451,x8452),x8452) % 1.50/1.52 [907]~P14(x9071,x9072,x9073)+P14(x9071,f76(x9072,x9073,x9073),x9073) % 1.50/1.52 [908]~P17(x9081,x9082,x9083)+P17(x9081,f76(x9082,x9083,x9083),x9083) % 1.50/1.52 [964]P14(x9641,x9642,x9643)+~P14(x9641,f76(x9642,x9643,x9643),x9643) % 1.50/1.52 [965]P17(x9651,x9652,x9653)+~P17(x9651,f76(x9652,x9653,x9653),x9653) % 1.50/1.52 [784]~P23(x7843)+E(f61(x7841,f62(x7841,x7842,x7843),x7843),x7841) % 1.50/1.52 [785]~P23(x7853)+E(f62(x7851,f61(x7851,x7852,x7853),x7853),x7851) % 1.50/1.52 [802]~P16(x8023,x8021)+P83(f85(f85(f86(x8021),x8022),f82(x8023,x8021))) % 1.50/1.52 [813]~P8(x8132,x8133)+P8(f61(x8131,x8132,f90(x8133,a2)),x8133) % 1.50/1.52 [814]~P8(x8141,x8143)+P8(f61(x8141,x8142,f90(x8143,a2)),x8143) % 1.50/1.52 [817]E(x8171,f60(f90(x8172,a2)))+~E(f62(x8173,x8171,f90(x8172,a2)),f60(f90(x8172,a2))) % 1.50/1.52 [818]E(x8181,f60(f90(x8182,a2)))+~E(f62(x8181,x8183,f90(x8182,a2)),f60(f90(x8182,a2))) % 1.50/1.52 [827]~P20(x8272,x8271,f90(x8273,a2))+E(f61(x8271,x8272,f90(x8273,a2)),x8272) % 1.50/1.52 [828]~P20(x8281,x8282,f90(x8283,a2))+E(f61(x8281,x8282,f90(x8283,a2)),x8281) % 1.50/1.52 [829]~P20(x8291,x8292,f90(x8293,a2))+E(f62(x8291,x8292,f90(x8293,a2)),x8292) % 1.50/1.52 [830]~P20(x8302,x8301,f90(x8303,a2))+E(f62(x8301,x8302,f90(x8303,a2)),x8301) % 1.50/1.52 [831]P20(x8311,x8312,f90(x8313,a2))+~E(f62(x8311,x8312,f90(x8313,a2)),x8312) % 1.50/1.52 [863]~P23(x8633)+E(f61(x8631,f61(x8631,x8632,x8633),x8633),f61(x8631,x8632,x8633)) % 1.50/1.52 [864]~P25(x8643)+E(f61(x8641,f61(x8641,x8642,x8643),x8643),f61(x8641,x8642,x8643)) % 1.50/1.52 [865]~P23(x8653)+E(f62(x8651,f62(x8651,x8652,x8653),x8653),f62(x8651,x8652,x8653)) % 1.50/1.52 [866]~P26(x8663)+E(f62(x8661,f62(x8661,x8662,x8663),x8663),f62(x8661,x8662,x8663)) % 1.50/1.52 [946]P8(x9461,x9462)+~P8(f62(x9463,x9461,f90(x9462,a2)),x9462) % 1.50/1.52 [947]P8(x9471,x9472)+~P8(f62(x9471,x9473,f90(x9472,a2)),x9472) % 1.50/1.52 [954]~P63(x9541)+P19(f85(f85(f59(x9541),x9542),f4(x9541)),f85(f85(f59(x9541),x9543),f4(x9541)),x9541) % 1.50/1.52 [1005]P20(f82(x10051,x10052),f82(x10053,x10052),f90(x10052,a2))+~P20(x10053,x10051,f90(f91(x10052,x10052),a2)) % 1.50/1.52 [1018]~P8(x10181,x10182)+P20(f5(x10181,x10182),f5(f78(x10183,x10181,x10182),x10182),a1) % 1.50/1.52 [1076]~P20(x10761,x10763,f90(f91(x10762,x10762),a2))+P20(f75(x10761,x10762),f75(x10763,x10762),f90(f91(x10762,x10762),a2)) % 1.50/1.52 [1124]~P20(x11241,f75(x11243,x11242),f90(f91(x11242,x11242),a2))+P20(f75(x11241,x11242),f75(x11243,x11242),f90(f91(x11242,x11242),a2)) % 1.50/1.52 [1382]E(f69(f22(x13821,x13822,x13823),f22(x13821,x13822,x13823),x13823,x13823),x13822)+~P83(f85(f85(f86(f91(x13823,x13823)),x13822),f73(x13821,x13823))) % 1.50/1.52 [1386]~P83(f85(f85(f86(x13861),f43(x13863,x13862,x13861)),f82(x13863,x13861)))+P83(f85(f85(f86(x13861),x13862),f82(x13863,x13861))) % 1.50/1.52 [1387]~P83(f85(f85(f86(x13871),f23(x13873,x13872,x13871)),f82(x13873,x13871)))+P83(f85(f85(f86(x13871),x13872),f82(x13873,x13871))) % 1.50/1.52 [1454]~P9(x14543,x14541,x14542)+E(f80(f76(x14541,x14542,x14542),x14541,x14542,x14542,x14542),x14541) % 1.50/1.52 [1517]~P14(x15173,x15171,x15172)+P20(x15171,f80(f76(x15171,x15172,x15172),x15171,x15172,x15172,x15172),f90(f91(x15172,x15172),a2)) % 1.50/1.52 [1530]E(x15301,x15302)+~P83(f85(f85(f86(f91(x15303,x15303)),f69(x15301,x15302,x15303,x15303)),f3(x15303))) % 1.50/1.52 [1572]~P68(x15721)+~P83(f85(f85(f53(x15721),f85(f85(f57(x15721),f85(f85(f59(x15721),x15722),x15722)),f85(f85(f59(x15721),x15723),x15723))),f4(x15721))) % 1.50/1.52 [724]~P1(x7241)+E(f85(f85(f57(x7241),x7242),x7243),f85(f85(f57(x7241),x7243),x7242)) % 1.50/1.52 [725]~P2(x7251)+E(f85(f85(f57(x7251),x7252),x7253),f85(f85(f57(x7251),x7253),x7252)) % 1.50/1.52 [727]~P1(x7271)+E(f85(f85(f59(x7271),x7272),x7273),f85(f85(f59(x7271),x7273),x7272)) % 1.50/1.52 [755]~P22(x7551)+E(f85(f85(f57(x7551),x7552),f85(f49(x7551),x7553)),f85(f85(f55(x7551),x7552),x7553)) % 1.50/1.52 [757]~P29(x7571)+E(f85(f85(f57(x7571),x7572),f85(f49(x7571),x7573)),f85(f85(f55(x7571),x7572),x7573)) % 1.50/1.52 [758]~P38(x7581)+E(f85(f85(f57(x7581),x7582),f85(f49(x7581),x7583)),f85(f85(f55(x7581),x7582),x7583)) % 1.50/1.52 [759]~P38(x7591)+E(f85(f85(f55(x7591),x7592),f85(f49(x7591),x7593)),f85(f85(f57(x7591),x7592),x7593)) % 1.50/1.52 [761]~P4(x7612)+E(f61(x7611,f85(f49(x7612),x7613),x7612),f85(f85(f55(x7612),x7611),x7613)) % 1.50/1.52 [762]~P83(f85(x7623,x7622))+P83(f85(f85(f86(x7621),x7622),x7623)) % 1.50/1.52 [763]~P2(x7632)+E(f85(f85(f51(x7631,x7632),x7633),f60(f90(x7631,a2))),f4(x7632)) % 1.50/1.52 [766]~P1(x7662)+P19(x7661,f85(f85(f59(x7662),x7663),x7661),x7662) % 1.50/1.52 [767]~P1(x7672)+P19(x7671,f85(f85(f59(x7672),x7671),x7673),x7672) % 1.50/1.52 [768]~P57(x7682)+P19(x7681,f85(f85(f59(x7682),x7681),x7683),x7682) % 1.50/1.52 [786]E(x7861,x7862)+~P83(f85(f85(f83(x7863),x7861),x7862)) % 1.50/1.52 [824]P83(f85(x8241,x8242))+~P83(f85(f85(f86(x8243),x8242),x8241)) % 1.50/1.52 [850]E(x8501,x8502)+~E(f85(f49(f90(x8503,a2)),x8501),f85(f49(f90(x8503,a2)),x8502)) % 1.50/1.52 [872]E(f78(x8721,x8722,x8723),x8722)+~P83(f85(f85(f86(x8723),x8721),x8722)) % 1.50/1.52 [878]~P78(x8781)+E(f85(f85(f59(x8781),f85(f49(x8781),x8782)),f85(f49(x8781),x8783)),f85(f85(f59(x8781),x8782),x8783)) % 1.50/1.52 [929]~P39(x9291)+E(f62(f85(f49(x9291),x9292),f85(f49(x9291),x9293),x9291),f85(f49(x9291),f61(x9292,x9293,x9291))) % 1.50/1.52 [930]~P4(x9301)+E(f62(f85(f49(x9301),x9302),f85(f49(x9301),x9303),x9301),f85(f49(x9301),f61(x9302,x9303,x9301))) % 1.50/1.52 [931]~P39(x9311)+E(f61(f85(f49(x9311),x9312),f85(f49(x9311),x9313),x9311),f85(f49(x9311),f62(x9312,x9313,x9311))) % 1.50/1.52 [932]~P4(x9321)+E(f61(f85(f49(x9321),x9322),f85(f49(x9321),x9323),x9321),f85(f49(x9321),f62(x9322,x9323,x9321))) % 1.50/1.52 [968]~P36(x9683)+E(f52(x9681,f60(f90(x9682,a2)),x9682,x9683),f54(x9683)) % 1.50/1.52 [974]~P63(x9741)+P19(f85(f85(f59(x9741),f4(x9741)),x9742),f85(f85(f59(x9741),f4(x9741)),x9743),x9741) % 1.50/1.52 [1006]E(x10061,x10062)+~E(f78(x10061,f60(f90(x10063,a2)),x10063),f78(x10062,f60(f90(x10063,a2)),x10063)) % 1.50/1.52 [1068]~E(f61(x10681,x10683,f90(x10682,a2)),f60(f90(x10682,a2)))+P20(x10681,f85(f49(f90(x10682,a2)),x10683),f90(x10682,a2)) % 1.50/1.52 [1128]~P20(x11281,f85(f49(f90(x11283,a2)),x11282),f90(x11283,a2))+E(f61(x11281,x11282,f90(x11283,a2)),f60(f90(x11283,a2))) % 1.50/1.52 [1132]~P39(x11321)+E(f85(f85(f57(x11321),f62(x11322,x11323,x11321)),f61(x11322,x11323,x11321)),f85(f85(f57(x11321),x11322),x11323)) % 1.50/1.52 [1133]~P35(x11331)+E(f85(f85(f59(x11331),f71(x11332,x11333,x11331)),x11332),f85(f85(f59(x11331),x11332),f71(x11332,x11333,x11331))) % 1.50/1.52 [1172]~P20(x11723,x11722,f90(x11721,a2))+P20(f85(f49(f90(x11721,a2)),x11722),f85(f49(f90(x11721,a2)),x11723),f90(x11721,a2)) % 1.50/1.52 [1247]P20(x12471,x12472,f90(x12473,a2))+~P20(f85(f49(f90(x12473,a2)),x12472),f85(f49(f90(x12473,a2)),x12471),f90(x12473,a2)) % 1.50/1.52 [1279]~P79(x12791)+E(f85(f85(f59(x12791),f71(f85(f49(x12791),f54(x12791)),x12792,x12791)),f71(x12793,x12792,x12791)),f71(f85(f49(x12791),x12793),x12792,x12791)) % 1.50/1.52 [1406]~P83(f85(f85(f86(f91(x14061,x14061)),x14063),f73(x14062,x14061)))+P83(f85(f85(f86(x14061),f22(x14062,x14063,x14061)),x14062)) % 1.50/1.52 [1473]E(x14731,x14732)+~E(f85(f6(f86(x14733),x14733,f90(x14733,a2),a2),x14731),f85(f6(f86(x14733),x14733,f90(x14733,a2),a2),x14732)) % 1.50/1.52 [1498]~P12(x14983,x14981)+P83(f85(f85(f86(f91(x14981,x14981)),f69(x14982,x14982,x14981,x14981)),x14983)) % 1.50/1.52 [1500]E(x15001,x15002)+P83(f85(f85(f86(f91(a87,a87)),f69(x15001,x15002,a87,a87)),f85(f85(a8,x15003),x15002))) % 1.50/1.52 [1501]E(x15011,x15012)+P83(f85(f85(f86(f91(a87,a87)),f69(x15011,x15012,a87,a87)),f85(f85(a9,x15013),x15011))) % 1.50/1.52 [1504]~P20(x15042,x15043,f90(x15041,a2))+P20(f85(f6(f86(x15041),x15041,f90(x15041,a2),a2),x15042),f85(f6(f86(x15041),x15041,f90(x15041,a2),a2),x15043),f90(x15041,a2)) % 1.50/1.52 [1507]P83(f85(f85(f86(f91(x15071,x15071)),f69(x15072,x15072,x15071,x15071)),f73(x15073,x15071)))+~P83(f85(f85(f86(x15071),x15072),x15073)) % 1.50/1.52 [1531]~P16(x15311,x15312)+~P83(f85(f85(f86(f91(x15312,x15312)),f69(x15313,x15313,x15312,x15312)),x15311)) % 1.50/1.52 [1532]~P15(x15321,x15322)+~P83(f85(f85(f86(f91(x15322,x15322)),f69(x15323,x15323,x15322,x15322)),x15321)) % 1.50/1.52 [1536]P20(x15361,x15362,f90(x15363,a2))+~P20(f85(f6(f86(x15363),x15363,f90(x15363,a2),a2),x15361),f85(f6(f86(x15363),x15363,f90(x15363,a2),a2),x15362),f90(x15363,a2)) % 1.50/1.52 [1649]P83(f85(f85(f86(f91(x16491,x16491)),f69(f35(x16492,x16491),f35(x16492,x16491),x16491,x16491)),f80(x16492,f75(x16492,x16491),x16491,x16491,x16491)))+~P83(f85(f85(f86(f91(x16491,x16491)),f69(x16493,x16493,x16491,x16491)),x16492)) % 1.50/1.52 [1650]~P18(x16501,x16502)+~P83(f85(f85(f86(f91(x16502,x16502)),f69(x16503,x16503,x16502,x16502)),f80(x16501,f75(x16501,x16502),x16502,x16502,x16502))) % 1.50/1.52 [1677]~P16(f62(x16771,x16773,f90(f91(x16772,x16772),a2)),x16772)+P16(f62(f62(f80(x16771,x16771,x16772,x16772,x16772),f80(x16773,x16771,x16772,x16772,x16772),f90(f91(x16772,x16772),a2)),x16773,f90(f91(x16772,x16772),a2)),x16772) % 1.50/1.52 [1692]~P16(f62(f62(f80(x16921,x16921,x16923,x16923,x16923),f80(x16922,x16921,x16923,x16923,x16923),f90(f91(x16923,x16923),a2)),x16922,f90(f91(x16923,x16923),a2)),x16923)+P16(f62(x16921,x16922,f90(f91(x16923,x16923),a2)),x16923) % 1.50/1.52 [803]~P29(x8031)+E(f85(f49(x8031),f85(f85(f55(x8031),x8032),x8033)),f85(f85(f55(x8031),x8033),x8032)) % 1.50/1.52 [855]~P32(x8551)+E(f85(f85(f59(x8551),x8552),f85(f85(f59(x8551),x8552),x8553)),f85(f85(f59(x8551),x8552),x8553)) % 1.50/1.52 [860]~P78(x8601)+E(f85(f85(f59(x8601),x8602),f85(f49(x8601),x8603)),f85(f49(x8601),f85(f85(f59(x8601),x8602),x8603))) % 1.50/1.52 [877]~P78(x8771)+E(f85(f85(f59(x8771),f85(f49(x8771),x8772)),x8773),f85(f85(f59(x8771),x8772),f85(f49(x8771),x8773))) % 1.50/1.52 [895]~P29(x8951)+E(f85(f85(f57(x8951),f85(f49(x8951),x8952)),f85(f85(f57(x8951),x8953),x8952)),x8953) % 1.50/1.52 [896]~P38(x8961)+E(f85(f85(f57(x8961),f85(f49(x8961),x8962)),f85(f85(f57(x8961),x8962),x8963)),x8963) % 1.50/1.52 [912]~P66(x9121)+E(f85(f85(f59(x9121),f58(x9122,x9121)),f58(x9123,x9121)),f58(f85(f85(f59(x9121),x9122),x9123),x9121)) % 1.50/1.52 [919]~P62(x9191)+E(f85(f85(f56(x9191),f85(f49(x9191),x9192)),x9193),f85(f49(x9191),f85(f85(f56(x9191),x9192),x9193))) % 1.50/1.52 [920]~P78(x9201)+E(f85(f85(f59(x9201),f85(f49(x9201),x9202)),x9203),f85(f49(x9201),f85(f85(f59(x9201),x9202),x9203))) % 1.50/1.52 [958]~P38(x9581)+E(f85(f85(f57(x9581),f85(f49(x9581),x9582)),f85(f49(x9581),x9583)),f85(f49(x9581),f85(f85(f57(x9581),x9583),x9582))) % 1.50/1.52 [959]~P29(x9591)+E(f85(f85(f57(x9591),f85(f49(x9591),x9592)),f85(f49(x9591),x9593)),f85(f49(x9591),f85(f85(f57(x9591),x9592),x9593))) % 1.50/1.52 [1010]~P39(x10101)+E(f85(f49(x10101),f62(f85(f49(x10101),x10102),f85(f49(x10101),x10103),x10101)),f61(x10102,x10103,x10101)) % 1.50/1.52 [1011]~P39(x10111)+E(f85(f49(x10111),f61(f85(f49(x10111),x10112),f85(f49(x10111),x10113),x10111)),f62(x10112,x10113,x10111)) % 1.50/1.52 [1150]~P1(x11501)+E(f85(f85(f57(x11501),x11502),f85(f85(f59(x11501),x11503),x11502)),f85(f85(f59(x11501),f85(f85(f57(x11501),x11503),f54(x11501))),x11502)) % 1.50/1.52 [1178]P83(f85(f85(f86(x11781),x11782),x11783))+P83(f85(f85(f86(x11781),x11782),f85(f49(f90(x11781,a2)),x11783))) % 1.50/1.52 [1310]~P83(f85(f85(f86(x13101),x13102),x13103))+~P83(f85(f85(f86(x13101),x13102),f85(f49(f90(x13101,a2)),x13103))) % 1.50/1.52 [1327]~P68(x13271)+P20(f4(x13271),f85(f85(f57(x13271),f85(f85(f59(x13271),x13272),x13272)),f85(f85(f59(x13271),x13273),x13273)),x13271) % 1.50/1.52 [1337]E(x13371,x13372)+~P83(f85(f85(f86(x13373),x13371),f78(x13372,f60(f90(x13373,a2)),x13373))) % 1.50/1.52 [1346]P83(f85(f85(f86(f91(x13461,x13461)),x13462),f75(x13463,x13461)))+~P83(f85(f85(f86(f91(x13461,x13461)),x13462),x13463)) % 1.50/1.52 [1525]P83(f85(f85(f86(x15251),x15252),f82(x15253,x15251)))+P83(f85(f85(f86(f91(x15251,x15251)),f69(f43(x15253,x15252,x15251),x15252,x15251,x15251)),x15253)) % 1.50/1.52 [1526]P83(f85(f85(f86(x15261),x15262),f82(x15263,x15261)))+P83(f85(f85(f86(f91(x15261,x15261)),f69(f23(x15263,x15262,x15261),x15262,x15261,x15261)),x15263)) % 1.50/1.52 [1602]P83(f85(f85(f86(f91(x16021,x16021)),x16022),f80(x16023,f75(x16023,x16021),x16021,x16021,x16021)))+~P83(f85(f85(f86(f91(x16021,x16021)),x16022),x16023)) % 1.50/1.52 [927]~P38(x9271)+E(f85(f85(f57(x9271),f85(f85(f55(x9271),x9272),x9273)),x9273),x9272) % 1.50/1.52 [928]~P38(x9281)+E(f85(f85(f55(x9281),f85(f85(f57(x9281),x9282),x9283)),x9283),x9282) % 1.50/1.52 [973]~P38(x9731)+E(f85(f85(f57(x9731),x9732),f85(f85(f57(x9731),f85(f49(x9731),x9732)),x9733)),x9733) % 1.50/1.52 [1225]~P1(x12251)+E(f85(f85(f57(x12251),f85(f85(f59(x12251),x12252),x12253)),x12253),f85(f85(f59(x12251),f85(f85(f57(x12251),x12252),f54(x12251))),x12253)) % 1.50/1.52 [963]~P20(x9631,x9633,f90(x9634,a2))+P20(x9631,f78(x9632,x9633,x9634),f90(x9634,a2)) % 1.50/1.52 [1055]~P20(f78(x10554,x10551,x10553),x10552,f90(x10553,a2))+P20(x10551,x10552,f90(x10553,a2)) % 1.50/1.52 [1104]~P20(x11042,x11044,f90(x11043,a2))+P20(f78(x11041,x11042,x11043),f78(x11041,x11044,x11043),f90(x11043,a2)) % 1.50/1.52 [1213]~P6(x12131,x12133)+P6(f79(x12131,x12132,x12133,x12134),x12134) % 1.50/1.52 [1214]~P16(x12141,x12143)+P16(f79(x12141,x12142,x12143,x12144),x12144) % 1.50/1.52 [955]~P83(f85(x9552,x9554))+P83(f85(f78(x9551,x9552,x9553),x9554)) % 1.50/1.52 [997]~P23(x9974)+E(f61(x9971,f61(x9972,x9973,x9974),x9974),f61(x9972,f61(x9971,x9973,x9974),x9974)) % 1.50/1.52 [998]~P25(x9984)+E(f61(x9981,f61(x9982,x9983,x9984),x9984),f61(x9982,f61(x9981,x9983,x9984),x9984)) % 1.50/1.52 [999]~P23(x9994)+E(f62(x9991,f62(x9992,x9993,x9994),x9994),f62(x9992,f62(x9991,x9993,x9994),x9994)) % 1.50/1.52 [1000]~P26(x10004)+E(f62(x10001,f62(x10002,x10003,x10004),x10004),f62(x10002,f62(x10001,x10003,x10004),x10004)) % 1.50/1.52 [1001]~P23(x10013)+E(f61(f61(x10011,x10012,x10013),x10014,x10013),f61(x10011,f61(x10012,x10014,x10013),x10013)) % 1.50/1.52 [1002]~P25(x10023)+E(f61(f61(x10021,x10022,x10023),x10024,x10023),f61(x10021,f61(x10022,x10024,x10023),x10023)) % 1.50/1.52 [1003]~P23(x10033)+E(f62(f62(x10031,x10032,x10033),x10034,x10033),f62(x10031,f62(x10032,x10034,x10033),x10033)) % 1.50/1.52 [1004]~P26(x10043)+E(f62(f62(x10041,x10042,x10043),x10044,x10043),f62(x10041,f62(x10042,x10044,x10043),x10043)) % 1.50/1.52 [1135]~P24(x11353)+E(f62(f61(x11351,x11352,x11353),f61(x11351,x11354,x11353),x11353),f61(x11351,f62(x11352,x11354,x11353),x11353)) % 1.50/1.52 [1136]~P24(x11363)+E(f61(f62(x11361,x11362,x11363),f62(x11361,x11364,x11363),x11363),f62(x11361,f61(x11362,x11364,x11363),x11363)) % 1.50/1.52 [1137]~P24(x11373)+E(f62(f61(x11371,x11372,x11373),f61(x11374,x11372,x11373),x11373),f61(f62(x11371,x11374,x11373),x11372,x11373)) % 1.50/1.52 [1138]~P24(x11383)+E(f61(f62(x11381,x11382,x11383),f62(x11384,x11382,x11383),x11383),f62(f61(x11381,x11384,x11383),x11382,x11383)) % 1.50/1.52 [1145]P20(x11451,x11452,f90(x11453,a2))+~P20(x11451,f61(x11454,x11452,f90(x11453,a2)),f90(x11453,a2)) % 1.50/1.52 [1146]P20(x11461,x11462,f90(x11463,a2))+~P20(x11461,f61(x11462,x11464,f90(x11463,a2)),f90(x11463,a2)) % 1.50/1.52 [1147]P20(x11471,x11472,f90(x11473,a2))+~P20(f62(x11474,x11471,f90(x11473,a2)),x11472,f90(x11473,a2)) % 1.50/1.52 [1148]P20(x11481,x11482,f90(x11483,a2))+~P20(f62(x11481,x11484,f90(x11483,a2)),x11482,f90(x11483,a2)) % 1.50/1.52 [1199]P20(f67(x11991,x11992,x11993),f67(x11994,x11992,x11993),f90(x11992,a2))+~P20(x11991,x11994,f90(f91(x11992,x11993),a2)) % 1.50/1.52 [1240]~P20(x12404,x12401,f90(x12403,a2))+E(f62(f61(x12401,x12402,f90(x12403,a2)),x12404,f90(x12403,a2)),f61(x12401,f62(x12402,x12404,f90(x12403,a2)),f90(x12403,a2))) % 1.50/1.52 [1332]P20(x13321,x13322,f90(x13323,a2))+~E(f62(f61(x13322,x13324,f90(x13323,a2)),x13321,f90(x13323,a2)),f61(x13322,f62(x13324,x13321,f90(x13323,a2)),f90(x13323,a2))) % 1.50/1.52 [1359]~P23(x13594)+P20(f62(x13591,f61(x13592,x13593,x13594),x13594),f61(f62(x13591,x13592,x13594),f62(x13591,x13593,x13594),x13594),x13594) % 1.50/1.52 [1360]~P23(x13603)+P20(f62(f61(x13601,x13602,x13603),f61(x13601,x13604,x13603),x13603),f61(x13601,f62(x13602,x13604,x13603),x13603),x13603) % 1.50/1.52 [1476]P16(x14761,x14762)+~P16(f78(f69(x14763,x14764,x14762,x14762),x14761,f91(x14762,x14762)),x14762) % 1.50/1.52 [1477]P18(x14771,x14772)+~P18(f78(f69(x14773,x14774,x14772,x14772),x14771,f91(x14772,x14772)),x14772) % 1.50/1.52 [1516]P83(f85(f85(f86(f91(x15161,x15161)),f69(x15162,x15163,x15161,x15161)),f74(x15164,x15161)))+~P83(f85(f85(f53(a1),f85(x15164,x15162)),f85(x15164,x15163))) % 1.50/1.52 [1533]E(x15331,x15332)+~P83(f85(f85(f86(f91(x15333,x15333)),f69(x15331,x15332,x15333,x15333)),f73(x15334,x15333))) % 1.50/1.52 [1547]~P83(f85(f85(f86(f91(x15474,x15474)),f69(x15472,x15473,x15474,x15474)),f74(x15471,x15474)))+P83(f85(f85(f53(a1),f85(x15471,x15472)),f85(x15471,x15473))) % 1.50/1.52 [1597]~P16(f78(f69(x15971,x15972,x15973,x15973),x15974,f91(x15973,x15973)),x15973)+~P83(f85(f85(f86(f91(x15973,x15973)),f69(x15972,x15971,x15973,x15973)),f75(x15974,x15973))) % 1.50/1.52 [1598]~P18(f78(f69(x15981,x15982,x15983,x15983),x15984,f91(x15983,x15983)),x15983)+~P83(f85(f85(f86(f91(x15983,x15983)),f69(x15982,x15981,x15983,x15983)),f75(x15984,x15983))) % 1.50/1.52 [1060]E(f61(x10601,f78(x10602,x10603,x10604),f90(x10604,a2)),f61(x10601,x10603,f90(x10604,a2)))+P83(f85(f85(f86(x10604),x10602),x10601)) % 1.50/1.52 [1061]E(f61(f78(x10611,x10612,x10613),x10614,f90(x10613,a2)),f61(x10612,x10614,f90(x10613,a2)))+P83(f85(f85(f86(x10613),x10611),x10614)) % 1.50/1.52 [1074]~P83(f85(x10742,x10744))+P83(f85(f62(x10741,x10742,f90(x10743,a2)),x10744)) % 1.50/1.52 [1075]~P83(f85(x10751,x10754))+P83(f85(f62(x10751,x10752,f90(x10753,a2)),x10754)) % 1.50/1.52 [1098]~P20(f78(x10982,x10984,x10981),x10983,f90(x10981,a2))+P83(f85(f85(f86(x10981),x10982),x10983)) % 1.50/1.52 [1197]P83(f85(f85(f86(x11971),x11972),f78(x11973,x11974,x11971)))+~P83(f85(f85(f86(x11971),x11972),x11974)) % 1.50/1.52 [1228]P83(f85(x12281,x12282))+~P83(f85(f61(x12283,x12281,f90(x12284,a2)),x12282)) % 1.50/1.52 [1229]P83(f85(x12291,x12292))+~P83(f85(f61(x12291,x12293,f90(x12294,a2)),x12292)) % 1.50/1.52 [1232]E(f78(x12321,f61(x12322,x12323,f90(x12324,a2)),x12324),f61(x12322,f78(x12321,x12323,x12324),f90(x12324,a2)))+~P83(f85(f85(f86(x12324),x12321),x12322)) % 1.50/1.52 [1233]E(f78(x12331,f61(x12332,x12333,f90(x12334,a2)),x12334),f61(f78(x12331,x12332,x12334),x12333,f90(x12334,a2)))+~P83(f85(f85(f86(x12334),x12331),x12333)) % 1.50/1.52 [1238]~P83(f85(f85(f86(x12381),x12382),x12384))+P83(f85(f85(f86(x12381),x12382),f62(x12383,x12384,f90(x12381,a2)))) % 1.50/1.52 [1239]~P83(f85(f85(f86(x12391),x12392),x12393))+P83(f85(f85(f86(x12391),x12392),f62(x12393,x12394,f90(x12391,a2)))) % 1.50/1.52 [1314]P83(f85(f85(f86(x13141),x13142),x13143))+~P83(f85(f85(f86(x13141),x13142),f61(x13144,x13143,f90(x13141,a2)))) % 1.50/1.52 [1315]P83(f85(f85(f86(x13151),x13152),x13153))+~P83(f85(f85(f86(x13151),x13152),f61(x13153,x13154,f90(x13151,a2)))) % 1.50/1.52 [1537]~P83(f85(f85(f86(f91(x15371,x15371)),f69(x15372,x15374,x15371,x15371)),f73(x15373,x15371)))+P83(f85(f85(f86(x15371),x15372),x15373)) % 1.50/1.52 [1617]~P83(f85(f85(f86(f91(x16171,x16171)),f69(x16173,x16172,x16171,x16171)),f75(x16174,x16171)))+P83(f85(f85(f86(f91(x16171,x16171)),f69(x16172,x16173,x16171,x16171)),f75(f76(x16174,x16171,x16171),x16171))) % 1.50/1.52 [1620]P83(f85(f85(f86(f91(x16201,x16201)),f69(x16202,x16203,x16201,x16201)),f75(x16204,x16201)))+~P83(f85(f85(f86(f91(x16201,x16201)),f69(x16203,x16202,x16201,x16201)),f75(f76(x16204,x16201,x16201),x16201))) % 1.50/1.52 [1656]P83(f85(f85(f86(f91(x16561,x16561)),f69(x16562,x16563,x16561,x16561)),f75(x16564,x16561)))+~P83(f85(f85(f86(f91(x16561,x16561)),f69(x16562,x16563,x16561,x16561)),f80(x16564,f75(x16564,x16561),x16561,x16561,x16561))) % 1.50/1.52 [1673]P83(f85(f85(f86(f91(x16731,x16731)),f69(x16732,f39(x16733,x16732,x16734,x16731),x16731,x16731)),f75(x16733,x16731)))+~P83(f85(f85(f86(f91(x16731,x16731)),f69(x16732,x16734,x16731,x16731)),f80(x16733,f75(x16733,x16731),x16731,x16731,x16731))) % 1.50/1.52 [1674]P83(f85(f85(f86(f91(x16741,x16741)),f69(f38(x16742,x16743,x16744,x16741),x16744,x16741,x16741)),f75(x16742,x16741)))+~P83(f85(f85(f86(f91(x16741,x16741)),f69(x16743,x16744,x16741,x16741)),f80(x16742,f75(x16742,x16741),x16741,x16741,x16741))) % 1.50/1.52 [976]~P1(x9761)+E(f85(f85(f57(x9761),x9762),f85(f85(f57(x9761),x9763),x9764)),f85(f85(f57(x9761),x9763),f85(f85(f57(x9761),x9762),x9764))) % 1.50/1.52 [977]~P2(x9771)+E(f85(f85(f57(x9771),x9772),f85(f85(f57(x9771),x9773),x9774)),f85(f85(f57(x9771),x9773),f85(f85(f57(x9771),x9772),x9774))) % 1.50/1.52 [978]~P29(x9781)+E(f85(f85(f57(x9781),x9782),f85(f85(f57(x9781),x9783),x9784)),f85(f85(f57(x9781),x9783),f85(f85(f57(x9781),x9782),x9784))) % 1.50/1.52 [979]~P1(x9791)+E(f85(f85(f59(x9791),x9792),f85(f85(f59(x9791),x9793),x9794)),f85(f85(f59(x9791),x9793),f85(f85(f59(x9791),x9792),x9794))) % 1.50/1.52 [1120]~P39(x11201)+E(f61(f85(f85(f57(x11201),x11202),x11203),f85(f85(f57(x11201),x11202),x11204),x11201),f85(f85(f57(x11201),x11202),f61(x11203,x11204,x11201))) % 1.50/1.52 [1121]~P40(x11211)+E(f61(f85(f85(f57(x11211),x11212),x11213),f85(f85(f57(x11211),x11212),x11214),x11211),f85(f85(f57(x11211),x11212),f61(x11213,x11214,x11211))) % 1.50/1.52 [1122]~P39(x11221)+E(f62(f85(f85(f57(x11221),x11222),x11223),f85(f85(f57(x11221),x11222),x11224),x11221),f85(f85(f57(x11221),x11222),f62(x11223,x11224,x11221))) % 1.50/1.52 [1123]~P41(x11231)+E(f62(f85(f85(f57(x11231),x11232),x11233),f85(f85(f57(x11231),x11232),x11234),x11231),f85(f85(f57(x11231),x11232),f62(x11233,x11234,x11231))) % 1.50/1.52 [1211]~P1(x12111)+E(f85(f85(f57(x12111),f85(f85(f59(x12111),x12112),x12113)),f85(f85(f59(x12111),x12112),x12114)),f85(f85(f59(x12111),x12112),f85(f85(f57(x12111),x12113),x12114))) % 1.50/1.52 [1215]~P39(x12151)+E(f61(f85(f85(f57(x12151),x12152),x12153),f85(f85(f57(x12151),x12154),x12153),x12151),f85(f85(f57(x12151),f61(x12152,x12154,x12151)),x12153)) % 1.50/1.52 [1216]~P40(x12161)+E(f61(f85(f85(f57(x12161),x12162),x12163),f85(f85(f57(x12161),x12164),x12163),x12161),f85(f85(f57(x12161),f61(x12162,x12164,x12161)),x12163)) % 1.50/1.52 [1217]~P39(x12171)+E(f62(f85(f85(f57(x12171),x12172),x12173),f85(f85(f57(x12171),x12174),x12173),x12171),f85(f85(f57(x12171),f62(x12172,x12174,x12171)),x12173)) % 1.50/1.52 [1218]~P41(x12181)+E(f62(f85(f85(f57(x12181),x12182),x12183),f85(f85(f57(x12181),x12184),x12183),x12181),f85(f85(f57(x12181),f62(x12182,x12184,x12181)),x12183)) % 1.50/1.52 [1219]~P1(x12191)+E(f85(f85(f59(x12191),f71(x12192,x12193,x12191)),f71(x12194,x12193,x12191)),f71(f85(f85(f59(x12191),x12192),x12194),x12193,x12191)) % 1.50/1.52 [1220]~P36(x12201)+E(f85(f85(f59(x12201),f71(x12202,x12203,x12201)),f71(x12204,x12203,x12201)),f71(f85(f85(f59(x12201),x12202),x12204),x12203,x12201)) % 1.50/1.52 [1583]~P81(x15832)+E(f85(f85(f51(x15831,x15832),f7(f63(x15832),x15833,a1,x15832,x15831)),x15834),f85(f63(x15832),f85(f85(f51(x15831,a1),x15833),x15834))) % 1.50/1.52 [1584]~P29(x15842)+E(f85(f85(f51(x15841,x15842),f7(f49(x15842),x15843,x15842,x15842,x15841)),x15844),f85(f49(x15842),f85(f85(f51(x15841,x15842),x15843),x15844))) % 1.50/1.52 [1621]~P83(f85(f85(f86(x16211),x16213),f67(x16214,x16211,x16212)))+P83(f85(f85(f86(f91(x16211,x16212)),f69(x16213,f19(x16213,x16214,x16211,x16212),x16211,x16212)),x16214)) % 1.50/1.52 [1622]~P83(f85(f85(f86(x16221),x16223),f67(x16224,x16221,x16222)))+P83(f85(f85(f86(f91(x16221,x16222)),f69(x16223,f21(x16223,x16224,x16221,x16222),x16221,x16222)),x16224)) % 1.50/1.52 [1628]~P83(f85(f85(f86(x16282),x16283),f67(f76(x16284,x16281,x16282),x16282,x16281)))+P83(f85(f85(f86(f91(x16281,x16282)),f69(f25(x16283,x16284,x16282,x16281),x16283,x16281,x16282)),x16284)) % 1.50/1.52 [1629]~P83(f85(f85(f86(x16292),x16293),f67(f76(x16294,x16291,x16292),x16292,x16291)))+P83(f85(f85(f86(f91(x16291,x16292)),f69(f28(x16293,x16294,x16292,x16291),x16293,x16291,x16292)),x16294)) % 1.50/1.52 [1671]~P83(f85(f85(f86(f91(x16711,x16711)),f69(x16712,x16714,x16711,x16711)),f80(x16713,f75(x16713,x16711),x16711,x16711,x16711)))+P83(f85(f85(f86(f91(x16711,x16711)),f69(x16712,f38(x16713,x16712,x16714,x16711),x16711,x16711)),x16713)) % 1.50/1.52 [1672]~P83(f85(f85(f86(f91(x16721,x16721)),f69(x16723,x16724,x16721,x16721)),f80(x16722,f75(x16722,x16721),x16721,x16721,x16721)))+P83(f85(f85(f86(f91(x16721,x16721)),f69(f39(x16722,x16723,x16724,x16721),x16724,x16721,x16721)),x16722)) % 1.50/1.52 [1689]~P83(f85(f85(f86(f91(x16891,x16891)),f69(x16892,x16893,x16891,x16891)),f80(f76(x16894,x16891,x16891),f75(f76(x16894,x16891,x16891),x16891),x16891,x16891,x16891)))+P83(f85(f85(f86(f91(x16891,x16891)),f69(x16892,x16893,x16891,x16891)),f76(f80(x16894,f75(x16894,x16891),x16891,x16891,x16891),x16891,x16891))) % 1.50/1.52 [1690]~P83(f85(f85(f86(f91(x16901,x16901)),f69(x16902,x16903,x16901,x16901)),f76(f80(x16904,f75(x16904,x16901),x16901,x16901,x16901),x16901,x16901)))+P83(f85(f85(f86(f91(x16901,x16901)),f69(x16902,x16903,x16901,x16901)),f80(f76(x16904,x16901,x16901),f75(f76(x16904,x16901,x16901),x16901),x16901,x16901,x16901))) % 1.50/1.52 [1115]~P1(x11151)+E(f85(f85(f57(x11151),f85(f85(f57(x11151),x11152),x11153)),x11154),f85(f85(f57(x11151),x11152),f85(f85(f57(x11151),x11153),x11154))) % 1.50/1.52 [1116]~P2(x11161)+E(f85(f85(f57(x11161),f85(f85(f57(x11161),x11162),x11163)),x11164),f85(f85(f57(x11161),x11162),f85(f85(f57(x11161),x11163),x11164))) % 1.50/1.52 [1117]~P27(x11171)+E(f85(f85(f57(x11171),f85(f85(f57(x11171),x11172),x11173)),x11174),f85(f85(f57(x11171),x11172),f85(f85(f57(x11171),x11173),x11174))) % 1.50/1.52 [1118]~P1(x11181)+E(f85(f85(f59(x11181),f85(f85(f59(x11181),x11182),x11183)),x11184),f85(f85(f59(x11181),x11182),f85(f85(f59(x11181),x11183),x11184))) % 1.50/1.52 [1119]~P31(x11191)+E(f85(f85(f59(x11191),f85(f85(f59(x11191),x11192),x11193)),x11194),f85(f85(f59(x11191),x11192),f85(f85(f59(x11191),x11193),x11194))) % 1.50/1.52 [1209]~P1(x12091)+E(f85(f85(f57(x12091),f85(f85(f57(x12091),x12092),x12093)),x12094),f85(f85(f57(x12091),f85(f85(f57(x12091),x12092),x12094)),x12093)) % 1.50/1.52 [1210]~P1(x12101)+E(f85(f85(f59(x12101),f85(f85(f59(x12101),x12102),x12103)),x12104),f85(f85(f59(x12101),f85(f85(f59(x12101),x12102),x12104)),x12103)) % 1.50/1.52 [1253]~P62(x12531)+E(f85(f85(f57(x12531),f85(f85(f56(x12531),x12532),x12533)),f85(f85(f56(x12531),x12534),x12533)),f85(f85(f56(x12531),f85(f85(f57(x12531),x12532),x12534)),x12533)) % 1.50/1.52 [1254]~P62(x12541)+E(f85(f85(f55(x12541),f85(f85(f56(x12541),x12542),x12543)),f85(f85(f56(x12541),x12544),x12543)),f85(f85(f56(x12541),f85(f85(f55(x12541),x12542),x12544)),x12543)) % 1.50/1.52 [1256]~P53(x12561)+E(f85(f85(f57(x12561),f85(f85(f59(x12561),x12562),x12563)),f85(f85(f59(x12561),x12564),x12563)),f85(f85(f59(x12561),f85(f85(f57(x12561),x12562),x12564)),x12563)) % 1.50/1.52 [1257]~P1(x12571)+E(f85(f85(f57(x12571),f85(f85(f59(x12571),x12572),x12573)),f85(f85(f59(x12571),x12574),x12573)),f85(f85(f59(x12571),f85(f85(f57(x12571),x12572),x12574)),x12573)) % 1.50/1.52 [1486]~P83(f85(f85(f86(f91(x14861,x14861)),x14862),f75(x14864,x14861)))+P83(f85(f85(f86(f91(x14861,x14861)),x14862),f75(f62(x14863,x14864,f90(f91(x14861,x14861),a2)),x14861))) % 1.50/1.52 [1487]~P83(f85(f85(f86(f91(x14871,x14871)),x14872),f75(x14873,x14871)))+P83(f85(f85(f86(f91(x14871,x14871)),x14872),f75(f62(x14873,x14874,f90(f91(x14871,x14871),a2)),x14871))) % 1.50/1.52 [1417]~P20(x14172,x14175,f90(x14174,a2))+P20(f81(x14171,x14172,x14173,x14174),f81(x14171,x14175,x14173,x14174),f90(x14173,a2)) % 1.50/1.52 [1413]~P83(f85(x14132,f85(x14131,x14135)))+P83(f85(f81(x14131,x14132,x14133,x14134),x14135)) % 1.50/1.52 [1470]P83(f85(x14701,f85(x14702,x14703)))+~P83(f85(f81(x14702,x14701,x14704,x14705),x14703)) % 1.50/1.52 [1518]P83(f85(f85(f86(f91(x15181,x15181)),f69(x15182,x15183,x15181,x15181)),f84(x15184,x15185,x15181)))+~P83(f85(f85(f53(a1),f85(x15184,x15182)),f85(x15184,x15183))) % 1.50/1.52 [1457]P83(f85(f85(f86(x14571),x14572),f81(x14573,x14574,x14571,x14575)))+~P83(f85(f85(f86(x14575),f85(x14573,x14572)),x14574)) % 1.50/1.52 [1471]~P13(f76(x14711,x14713,x14714),x14714,x14713)+E(f61(f77(x14711,x14712,x14713,x14714),f77(x14711,x14715,x14713,x14714),f90(x14714,a2)),f77(x14711,f61(x14712,x14715,f90(x14713,a2)),x14713,x14714)) % 1.50/1.52 [1483]~P83(f85(f85(f86(x14835),x14833),f81(x14832,x14834,x14835,x14831)))+P83(f85(f85(f86(x14831),f85(x14832,x14833)),x14834)) % 1.50/1.52 [1546]P83(f85(f85(f86(x15461),x15462),f67(x15463,x15461,x15464)))+~P83(f85(f85(f86(f91(x15461,x15464)),f69(x15462,x15465,x15461,x15464)),x15463)) % 1.50/1.52 [1566]P83(f85(f85(f86(x15661),x15662),f67(f76(x15663,x15664,x15661),x15661,x15664)))+~P83(f85(f85(f86(f91(x15664,x15661)),f69(x15665,x15662,x15664,x15661)),x15663)) % 1.50/1.52 [1614]P83(f85(f85(f86(f91(x16141,x16142)),f69(x16143,x16144,x16141,x16142)),f76(x16145,x16142,x16141)))+~P83(f85(f85(f86(f91(x16142,x16141)),f69(x16144,x16143,x16142,x16141)),x16145)) % 1.50/1.52 [1615]~P83(f85(f85(f86(f91(x16152,x16151)),f69(x16154,x16153,x16152,x16151)),f76(x16155,x16151,x16152)))+P83(f85(f85(f86(f91(x16151,x16152)),f69(x16153,x16154,x16151,x16152)),x16155)) % 1.50/1.52 [1651]~P83(f85(f85(f86(x16515),x16513),f77(x16514,x16512,x16511,x16515)))+P83(f85(f85(f86(x16511),f26(x16512,x16513,x16514,x16511,x16515)),x16512)) % 1.50/1.52 [1652]~P83(f85(f85(f86(x16525),x16523),f77(x16524,x16522,x16521,x16525)))+P83(f85(f85(f86(x16521),f27(x16522,x16523,x16524,x16521,x16525)),x16522)) % 1.50/1.52 [1653]~P83(f85(f85(f86(f91(x16531,x16535)),x16534),f70(x16532,x16533,x16531,x16535)))+P83(f85(f85(f86(x16531),f20(x16532,x16533,x16534,x16531,x16535)),x16532)) % 1.50/1.52 [1299]~P1(x12991)+E(f85(f85(f57(x12991),f85(f85(f57(x12991),x12992),x12993)),f85(f85(f57(x12991),x12994),x12995)),f85(f85(f57(x12991),f85(f85(f57(x12991),x12992),x12994)),f85(f85(f57(x12991),x12993),x12995))) % 1.50/1.52 [1300]~P1(x13001)+E(f85(f85(f59(x13001),f85(f85(f59(x13001),x13002),x13003)),f85(f85(f59(x13001),x13004),x13005)),f85(f85(f59(x13001),f85(f85(f59(x13001),x13002),x13004)),f85(f85(f59(x13001),x13003),x13005))) % 1.50/1.52 [1632]~P36(x16321)+E(f52(f48(f7(f59(x16321),x16322,x16321,f90(x16321,x16321),x16323),x16324,x16323,x16321,x16321),x16325,x16323,x16321),f85(f85(f59(x16321),f52(x16322,x16325,x16323,x16321)),f52(x16324,x16325,x16323,x16321))) % 1.50/1.52 [1685]~P83(f85(f85(f86(x16852),x16854),f77(x16855,x16853,x16851,x16852)))+P83(f85(f85(f86(f91(x16851,x16852)),f69(f26(x16853,x16854,x16855,x16851,x16852),x16854,x16851,x16852)),x16855)) % 1.50/1.52 [1686]~P83(f85(f85(f86(x16862),x16864),f77(x16865,x16863,x16861,x16862)))+P83(f85(f85(f86(f91(x16861,x16862)),f69(f27(x16863,x16864,x16865,x16861,x16862),x16864,x16861,x16862)),x16865)) % 1.50/1.52 [1519]~P20(f77(x15193,x15191,x15192,x15194),x15195,f90(x15194,a2))+P20(x15191,f85(f49(f90(x15192,a2)),f77(f76(x15193,x15192,x15194),f85(f49(f90(x15194,a2)),x15195),x15194,x15192)),f90(x15192,a2)) % 1.50/1.52 [1520]E(f85(x15201,x15202),x15203)+~P83(f85(f85(f86(x15204),x15202),f81(x15201,f78(x15203,f60(f90(x15205,a2)),x15205),x15204,x15205))) % 1.50/1.52 [1548]P20(f77(x15481,x15482,x15483,x15484),x15485,f90(x15484,a2))+~P20(x15482,f85(f49(f90(x15483,a2)),f77(f76(x15481,x15483,x15484),f85(f49(f90(x15484,a2)),x15485),x15484,x15483)),f90(x15483,a2)) % 1.50/1.52 [1591]~P71(x15912)+E(f85(f85(f51(x15911,x15912),f7(f85(f59(x15912),x15913),x15914,x15912,x15912,x15911)),x15915),f85(f85(f59(x15912),x15913),f85(f85(f51(x15911,x15912),x15914),x15915))) % 1.50/1.52 [1593]P83(f85(f85(f86(f91(x15931,x15932)),f69(x15933,x15934,x15931,x15932)),x15935))+~P83(f85(f85(f86(x15932),x15934),f77(x15935,f78(x15933,f60(f90(x15931,a2)),x15931),x15931,x15932))) % 1.50/1.52 [1599]~P83(f85(f85(f86(f91(x15995,x15991)),f69(x15994,x15992,x15995,x15991)),x15993))+P83(f85(f85(f86(x15991),x15992),f77(x15993,f78(x15994,f60(f90(x15995,a2)),x15995),x15995,x15991))) % 1.50/1.52 [1666]~P2(x16662)+E(f85(f85(f51(x16661,x16662),f48(f7(f57(x16662),x16663,x16662,f90(x16662,x16662),x16661),x16664,x16661,x16662,x16662)),x16665),f85(f85(f57(x16662),f85(f85(f51(x16661,x16662),x16663),x16665)),f85(f85(f51(x16661,x16662),x16664),x16665))) % 1.50/1.52 [1667]~P29(x16672)+E(f85(f85(f51(x16671,x16672),f48(f7(f55(x16672),x16673,x16672,f90(x16672,x16672),x16671),x16674,x16671,x16672,x16672)),x16675),f85(f85(f55(x16672),f85(f85(f51(x16671,x16672),x16673),x16675)),f85(f85(f51(x16671,x16672),x16674),x16675))) % 1.50/1.52 [1683]~P62(x16832)+E(f85(f85(f51(x16831,x16832),f85(f6(f7(f56(x16832),x16833,x16832,f90(x16832,x16832),x16831),x16831,x16832,x16832),x16834)),x16835),f85(f85(f56(x16832),f85(f85(f51(x16831,x16832),x16833),x16835)),x16834)) % 1.50/1.52 [1684]~P71(x16842)+E(f85(f85(f51(x16841,x16842),f85(f6(f7(f59(x16842),x16843,x16842,f90(x16842,x16842),x16841),x16841,x16842,x16842),x16844)),x16845),f85(f85(f59(x16842),f85(f85(f51(x16841,x16842),x16843),x16845)),x16844)) % 1.50/1.52 [1478]~P72(x14781)+E(f85(f85(f57(x14781),f85(f85(f59(x14781),x14782),x14783)),f85(f85(f57(x14781),f85(f85(f59(x14781),x14784),x14783)),x14785)),f85(f85(f57(x14781),f85(f85(f59(x14781),f85(f85(f57(x14781),x14782),x14784)),x14783)),x14785)) % 1.50/1.52 [1514]~P78(x15141)+E(f85(f85(f57(x15141),f85(f85(f59(x15141),x15142),x15143)),f85(f85(f57(x15141),f85(f85(f59(x15141),f85(f85(f55(x15141),x15144),x15142)),x15143)),x15145)),f85(f85(f57(x15141),f85(f85(f59(x15141),x15144),x15143)),x15145)) % 1.50/1.52 [1325]E(x13251,x13252)+~E(f69(x13253,x13251,x13254,x13255),f69(x13256,x13252,x13254,x13255)) % 1.50/1.52 [1326]E(x13261,x13262)+~E(f69(x13261,x13263,x13264,x13265),f69(x13262,x13266,x13264,x13265)) % 1.50/1.52 [1592]~P83(f85(f85(f86(f91(x15925,x15921)),f69(x15924,x15922,x15925,x15921)),f70(x15926,x15923,x15925,x15921)))+P83(f85(f85(f86(x15921),x15922),f85(x15923,x15924))) % 1.50/1.52 [1695]E(f72(x16951,x16952,x16953,x16954,x16955),f72(x16956,x16952,x16953,x16954,x16955))+~E(f85(x16951,f65(x16951,x16956,x16952,x16953,x16954,x16955)),f85(x16956,f65(x16951,x16956,x16952,x16953,x16954,x16955))) % 1.50/1.52 [1588]~P83(f85(f85(f86(f91(x15881,x15884)),f69(x15882,x15885,x15881,x15884)),f70(x15883,x15886,x15881,x15884)))+P83(f85(f85(f86(x15881),x15882),x15883)) % 1.50/1.52 [1612]E(f85(f72(x16121,x16122,x16123,x16124,x16125),x16126),f85(x16121,x16126))+~P83(f85(f85(f86(f91(x16124,x16124)),f69(x16126,x16123,x16124,x16124)),x16122)) % 1.50/1.52 [1630]P83(f85(f85(f86(f91(x16301,x16301)),f69(x16302,x16303,x16301,x16301)),f79(x16304,x16305,x16306,x16301)))+~P83(f85(f85(f86(f91(x16306,x16306)),f69(f85(x16305,x16302),f85(x16305,x16303),x16306,x16306)),x16304)) % 1.50/1.52 [1631]~P83(f85(f85(f86(f91(x16316,x16316)),f69(x16313,x16314,x16316,x16316)),f79(x16315,x16312,x16311,x16316)))+P83(f85(f85(f86(f91(x16311,x16311)),f69(f85(x16312,x16313),f85(x16312,x16314),x16311,x16311)),x16315)) % 1.50/1.52 [1710]E(f72(x17101,x17102,x17103,x17104,x17105),f72(x17106,x17102,x17103,x17104,x17105))+P83(f85(f85(f86(f91(x17104,x17104)),f69(f65(x17101,x17106,x17102,x17103,x17104,x17105),x17103,x17104,x17104)),x17102)) % 1.50/1.52 [1699]~P2(x16992)+E(f85(f85(f51(x16991,x16992),f85(f6(f7(f51(x16993,x16992),f6(x16994,x16993,x16991,x16992),f90(x16993,x16992),f90(f90(x16993,a2),x16992),x16991),x16991,f90(x16993,a2),x16992),x16995)),x16996),f85(f85(f51(x16993,x16992),f85(f6(f7(f51(x16991,x16992),x16994,f90(x16991,x16992),f90(f90(x16991,a2),x16992),x16993),x16993,f90(x16991,a2),x16992),x16996)),x16995)) % 1.50/1.52 [1711]~P83(f85(f85(f86(f91(x17111,x17117)),f69(x17113,x17114,x17111,x17117)),f80(x17115,x17116,x17111,x17112,x17117)))+P83(f85(f85(f86(f91(x17111,x17112)),f69(x17113,f32(x17113,x17114,x17115,x17116,x17111,x17117,x17112),x17111,x17112)),x17115)) % 1.50/1.52 [1712]~P83(f85(f85(f86(f91(x17127,x17122)),f69(x17123,x17124,x17127,x17122)),f80(x17125,x17126,x17127,x17121,x17122)))+P83(f85(f85(f86(f91(x17121,x17122)),f69(f32(x17123,x17124,x17125,x17126,x17127,x17122,x17121),x17124,x17121,x17122)),x17126)) % 1.50/1.52 [811]~P46(x8111)+~P20(f4(x8111),f4(x8111),x8111)+E(f85(f85(f57(x8111),f4(x8111)),f4(x8111)),f4(x8111)) % 1.50/1.52 [787]E(x7871,x7872)+~P20(x7872,x7871,a1)+~P20(x7871,x7872,a1) % 1.50/1.52 [614]~P66(x6142)+~E(f58(x6141,x6142),f4(x6142))+E(x6141,f4(x6142)) % 1.50/1.52 [615]~P5(x6152)+~P5(x6151)+P5(f90(x6151,x6152)) % 1.50/1.52 [616]~P5(x6162)+~P5(x6161)+P5(f91(x6161,x6162)) % 1.50/1.52 [721]~P1(x7212)+~P19(f4(x7212),x7211,x7212)+E(x7211,f4(x7212)) % 1.50/1.52 [617]~P43(x6172)+E(x6171,f4(x6172))+~E(f85(f49(x6172),x6171),x6171) % 1.50/1.52 [618]~P38(x6182)+E(x6181,f4(x6182))+~E(f85(f49(x6182),x6181),f4(x6182)) % 1.50/1.52 [619]~P38(x6191)+E(f4(x6191),x6192)+~E(f85(f49(x6191),x6192),f4(x6191)) % 1.50/1.52 [677]~P63(x6771)+~P22(x6771)+E(f85(f85(f57(x6771),x6772),f4(x6771)),x6772) % 1.50/1.52 [687]~P58(x6871)+~P62(x6871)+E(f85(f85(f56(x6871),x6872),f4(x6871)),f4(x6871)) % 1.50/1.52 [688]~P8(x6881,x6882)+~E(f5(x6881,x6882),f4(a1))+E(x6881,f60(f90(x6882,a2))) % 1.50/1.52 [812]~P66(x8121)+~E(f58(x8122,x8121),f85(f49(x8121),f54(x8121)))+P83(f85(f85(f53(x8121),x8122),f4(x8121))) % 1.50/1.52 [820]~P39(x8202)+~P20(x8201,f4(x8202),x8202)+P20(x8201,f85(f49(x8202),x8201),x8202) % 1.50/1.52 [821]~P43(x8212)+~P20(x8211,f4(x8212),x8212)+P20(x8211,f85(f49(x8212),x8211),x8212) % 1.50/1.52 [822]~P39(x8221)+~P20(f4(x8221),x8222,x8221)+P20(f85(f49(x8221),x8222),x8222,x8221) % 1.50/1.52 [823]~P43(x8231)+~P20(f4(x8231),x8232,x8231)+P20(f85(f49(x8231),x8232),x8232,x8231) % 1.50/1.52 [834]~P44(x8341)+~P20(x8342,f4(x8341),x8341)+P20(f4(x8341),f85(f49(x8341),x8342),x8341) % 1.50/1.52 [835]~P44(x8351)+~P20(f4(x8351),x8352,x8351)+P20(f85(f49(x8351),x8352),f4(x8351),x8351) % 1.50/1.52 [851]~P8(x8511,x8512)+E(x8511,f60(f90(x8512,a2)))+P83(f85(f85(f53(a1),f4(a1)),f5(x8511,x8512))) % 1.50/1.52 [856]~P39(x8562)+P20(x8561,f4(x8562),x8562)+~P20(x8561,f85(f49(x8562),x8561),x8562) % 1.50/1.52 [857]~P43(x8572)+P20(x8571,f4(x8572),x8572)+~P20(x8571,f85(f49(x8572),x8571),x8572) % 1.50/1.52 [858]~P39(x8581)+P20(f4(x8581),x8582,x8581)+~P20(f85(f49(x8581),x8582),x8582,x8581) % 1.50/1.52 [859]~P43(x8591)+P20(f4(x8591),x8592,x8591)+~P20(f85(f49(x8591),x8592),x8592,x8591) % 1.50/1.52 [873]~P44(x8732)+P20(x8731,f4(x8732),x8732)+~P20(f4(x8732),f85(f49(x8732),x8731),x8732) % 1.50/1.52 [874]~P44(x8741)+P20(f4(x8741),x8742,x8741)+~P20(f85(f49(x8741),x8742),f4(x8741),x8741) % 1.50/1.52 [889]~P66(x8892)+E(f58(x8891,x8892),f85(f49(x8892),f54(x8892)))+~P83(f85(f85(f53(x8892),x8891),f4(x8892))) % 1.50/1.52 [1110]~P66(x11101)+~P83(f85(f85(f53(x11101),x11102),f4(x11101)))+P83(f85(f85(f53(x11101),f58(x11102,x11101)),f4(x11101))) % 1.50/1.52 [1188]~P66(x11881)+~P83(f85(f85(f53(x11881),f58(x11882,x11881)),f4(x11881)))+P83(f85(f85(f53(x11881),x11882),f4(x11881))) % 1.50/1.52 [1293]~P39(x12931)+~P83(f85(f85(f53(x12931),x12932),f4(x12931)))+P83(f85(f85(f53(x12931),f85(f85(f57(x12931),x12932),x12932)),f4(x12931))) % 1.50/1.52 [1294]~P66(x12941)+~P83(f85(f85(f53(x12941),x12942),f4(x12941)))+P83(f85(f85(f53(x12941),f85(f85(f57(x12941),x12942),x12942)),f4(x12941))) % 1.50/1.52 [1373]~P39(x13731)+~P83(f85(f85(f53(x13731),f85(f85(f57(x13731),x13732),x13732)),f4(x13731)))+P83(f85(f85(f53(x13731),x13732),f4(x13731))) % 1.50/1.52 [1374]~P66(x13741)+~P83(f85(f85(f53(x13741),f85(f85(f57(x13741),x13742),x13742)),f4(x13741)))+P83(f85(f85(f53(x13741),x13742),f4(x13741))) % 1.50/1.52 [655]~P62(x6552)+E(x6551,f4(x6552))+E(f85(f85(f56(x6552),x6551),x6551),f54(x6552)) % 1.50/1.52 [659]~P63(x6591)+~P22(x6591)+E(f85(f85(f55(x6591),x6592),x6592),f4(x6591)) % 1.50/1.52 [700]~P39(x7002)+E(x7001,f4(x7002))+~E(f85(f85(f57(x7002),x7001),x7001),f4(x7002)) % 1.50/1.52 [769]~P39(x7692)+E(x7691,f4(x7692))+~E(f61(x7691,f85(f49(x7692),x7691),x7692),f4(x7692)) % 1.50/1.52 [770]~P39(x7702)+E(x7701,f4(x7702))+~E(f62(x7701,f85(f49(x7702),x7701),x7702),f4(x7702)) % 1.50/1.52 [771]~P66(x7711)+~E(f58(x7712,x7711),f54(x7711))+P83(f85(f85(f53(x7711),f4(x7711)),x7712)) % 1.50/1.52 [800]E(x8001,x8002)+~P20(x8001,x8002,a1)+P83(f85(f85(f53(a1),x8001),x8002)) % 1.50/1.52 [816]E(x8161,x8162)+P83(f85(f85(f53(a1),x8162),x8161))+P83(f85(f85(f53(a1),x8161),x8162)) % 1.50/1.52 [885]~P66(x8852)+E(f58(x8851,x8852),f54(x8852))+~P83(f85(f85(f53(x8852),f4(x8852)),x8851)) % 1.50/1.52 [921]E(x9211,f68(f90(x9212,a2)))+~P8(f68(f90(x9212,a2)),x9212)+~E(f5(x9211,x9212),f5(f68(f90(x9212,a2)),x9212)) % 1.50/1.52 [933]~P39(x9331)+~P20(f4(x9331),x9332,x9331)+P20(f4(x9331),f85(f85(f57(x9331),x9332),x9332),x9331) % 1.50/1.52 [934]~P39(x9341)+~P20(x9342,f4(x9341),x9341)+P20(f85(f85(f57(x9341),x9342),x9342),f4(x9341),x9341) % 1.50/1.52 [941]~P8(x9412,x9411)+~P8(f68(f90(x9411,a2)),x9411)+P8(f85(f49(f90(x9411,a2)),x9412),x9411) % 1.50/1.52 [975]~P8(x9752,x9751)+P8(f68(f90(x9751,a2)),x9751)+~P8(f85(f49(f90(x9751,a2)),x9752),x9751) % 1.50/1.52 [994]~P39(x9942)+P20(x9941,f4(x9942),x9942)+~P20(f85(f85(f57(x9942),x9941),x9941),f4(x9942),x9942) % 1.50/1.52 [995]~P39(x9951)+P20(f4(x9951),x9952,x9951)+~P20(f4(x9951),f85(f85(f57(x9951),x9952),x9952),x9951) % 1.50/1.52 [1069]~P66(x10691)+~P83(f85(f85(f53(x10691),x10692),f4(x10691)))+P83(f85(f85(f53(x10691),x10692),f85(f49(x10691),x10692))) % 1.50/1.52 [1073]~P56(x10731)+P83(f85(f85(f53(x10731),f4(x10731)),f85(f63(x10731),x10732)))+~P83(f85(f85(f53(a1),f4(a1)),x10732)) % 1.50/1.52 [1097]~P66(x10971)+P83(f85(f85(f53(x10971),f4(x10971)),f58(x10972,x10971)))+~P83(f85(f85(f53(x10971),f4(x10971)),x10972)) % 1.50/1.52 [1103]~P44(x11031)+~P83(f85(f85(f53(x11031),x11032),f4(x11031)))+P83(f85(f85(f53(x11031),f4(x11031)),f85(f49(x11031),x11032))) % 1.50/1.52 [1107]~P66(x11071)+P83(f85(f85(f53(x11071),x11072),f4(x11071)))+~P83(f85(f85(f53(x11071),x11072),f85(f49(x11071),x11072))) % 1.50/1.52 [1125]~P66(x11251)+~P83(f85(f85(f53(x11251),f4(x11251)),f58(x11252,x11251)))+P83(f85(f85(f53(x11251),f4(x11251)),x11252)) % 1.50/1.52 [1149]~P56(x11492)+~P83(f85(f85(f53(x11492),f4(x11492)),f85(f63(x11492),x11491)))+P83(f85(f85(f53(a1),f4(a1)),x11491)) % 1.50/1.52 [1163]~P44(x11631)+P83(f85(f85(f53(x11631),x11632),f4(x11631)))+~P83(f85(f85(f53(x11631),f4(x11631)),f85(f49(x11631),x11632))) % 1.50/1.52 [1194]~P44(x11941)+P83(f85(f85(f53(x11941),f85(f49(x11941),x11942)),f4(x11941)))+~P83(f85(f85(f53(x11941),f4(x11941)),x11942)) % 1.50/1.52 [1234]~P44(x12341)+~P83(f85(f85(f53(x12341),f85(f49(x12341),x12342)),f4(x12341)))+P83(f85(f85(f53(x12341),f4(x12341)),x12342)) % 1.50/1.52 [1226]~P39(x12261)+~P83(f85(f85(f53(x12261),f4(x12261)),x12262))+P83(f85(f85(f53(x12261),f4(x12261)),f85(f85(f57(x12261),x12262),x12262))) % 1.50/1.52 [1278]~P39(x12781)+P83(f85(f85(f53(x12781),f4(x12781)),x12782))+~P83(f85(f85(f53(x12781),f4(x12781)),f85(f85(f57(x12781),x12782),x12782))) % 1.50/1.52 [993]~P58(x9931)+~P62(x9931)+E(f85(f85(f56(x9931),f85(f85(f59(x9931),f4(x9931)),x9932)),x9932),f4(x9931)) % 1.50/1.52 [733]P20(x7332,x7331,x7333)+~P49(x7333)+P20(x7331,x7332,x7333) % 1.50/1.52 [861]~P20(x8611,x8613,a1)+P20(x8611,x8612,a1)+~P20(x8613,x8612,a1) % 1.50/1.52 [709]~P3(x7092)+~E(f62(x7093,x7091,x7092),f60(x7092))+E(x7091,f60(x7092)) % 1.50/1.52 [710]~P3(x7102)+~E(f61(x7103,x7101,x7102),f68(x7102))+E(x7101,f68(x7102)) % 1.50/1.52 [711]~P77(x7112)+~E(f71(x7111,x7113,x7112),f4(x7112))+E(x7111,f4(x7112)) % 1.50/1.52 [712]~P3(x7122)+~E(f62(x7121,x7123,x7122),f60(x7122))+E(x7121,f60(x7122)) % 1.50/1.52 [713]~P3(x7132)+~E(f61(x7131,x7133,x7132),f68(x7132))+E(x7131,f68(x7132)) % 1.50/1.52 [749]~P25(x7493)+~P20(x7492,x7491,x7493)+E(f61(x7491,x7492,x7493),x7492) % 1.50/1.52 [750]~P25(x7503)+~P20(x7501,x7502,x7503)+E(f61(x7501,x7502,x7503),x7501) % 1.50/1.52 [751]~P26(x7513)+~P20(x7511,x7512,x7513)+E(f62(x7511,x7512,x7513),x7512) % 1.50/1.52 [752]~P26(x7523)+~P20(x7522,x7521,x7523)+E(f62(x7521,x7522,x7523),x7521) % 1.50/1.52 [753]~P25(x7533)+P20(x7531,x7532,x7533)+~E(f61(x7531,x7532,x7533),x7531) % 1.50/1.52 [754]~P26(x7543)+P20(x7541,x7542,x7543)+~E(f62(x7541,x7542,x7543),x7542) % 1.50/1.52 [765]P8(x7651,x7652)+~P8(x7653,x7652)+~P20(x7651,x7653,f90(x7652,a2)) % 1.50/1.52 [906]E(x9061,x9062)+~P20(x9061,x9062,f90(x9063,a2))+~P20(x9062,x9061,f90(x9063,a2)) % 1.50/1.52 [909]~P8(x9093,x9092)+~P20(x9091,x9093,f90(x9092,a2))+P20(f5(x9091,x9092),f5(x9093,x9092),a1) % 1.50/1.52 [939]~P56(x9391)+~P20(f4(x9391),x9392,x9391)+P20(f4(x9391),f71(x9392,x9393,x9391),x9391) % 1.50/1.52 [940]~P56(x9401)+~P20(f54(x9401),x9402,x9401)+P20(f54(x9401),f71(x9402,x9403,x9401),x9401) % 1.50/1.52 [673]~P38(x6733)+E(x6731,x6732)+~E(f85(f49(x6733),x6731),f85(f49(x6733),x6732)) % 1.50/1.52 [674]~P4(x6743)+E(x6741,x6742)+~E(f85(f49(x6743),x6741),f85(f49(x6743),x6742)) % 1.50/1.52 [675]~P28(x6753)+E(x6751,x6752)+~E(f85(f63(x6753),x6751),f85(f63(x6753),x6752)) % 1.50/1.52 [808]~P54(x8082)+~P19(x8081,x8083,x8082)+P19(x8081,f85(f49(x8082),x8083),x8082) % 1.50/1.52 [809]~P54(x8091)+~P19(x8092,x8093,x8091)+P19(f85(f49(x8091),x8092),x8093,x8091) % 1.50/1.52 [848]~P54(x8483)+P19(x8481,x8482,x8483)+~P19(x8481,f85(f49(x8483),x8482),x8483) % 1.50/1.52 [849]~P54(x8493)+P19(x8491,x8492,x8493)+~P19(f85(f49(x8493),x8491),x8492,x8493) % 1.50/1.52 [853]~P8(x8532,x8533)+~P8(x8531,x8533)+P8(f62(x8531,x8532,f90(x8533,a2)),x8533) % 1.50/1.52 [862]~P56(x8621)+~P20(x8622,x8623,a1)+P20(f85(f63(x8621),x8622),f85(f63(x8621),x8623),x8621) % 1.50/1.52 [875]~P44(x8751)+~P20(x8753,x8752,x8751)+P20(f85(f49(x8751),x8752),f85(f49(x8751),x8753),x8751) % 1.50/1.52 [897]P16(x8971,x8972)+~P16(x8973,x8972)+~P20(x8971,x8973,f90(f91(x8972,x8972),a2)) % 1.50/1.52 [898]P18(x8981,x8982)+~P18(x8983,x8982)+~P20(x8981,x8983,f90(f91(x8982,x8982),a2)) % 1.50/1.52 [899]P7(x8991,x8992)+~P7(x8993,x8992)+~P20(x8991,x8993,f90(f91(x8992,x8992),a2)) % 1.50/1.52 [902]~P44(x9022)+~P20(x9023,f85(f49(x9022),x9021),x9022)+P20(x9021,f85(f49(x9022),x9023),x9022) % 1.50/1.52 [904]~P44(x9041)+~P20(f85(f49(x9041),x9043),x9042,x9041)+P20(f85(f49(x9041),x9042),x9043,x9041) % 1.50/1.52 [935]~P56(x9353)+P20(x9351,x9352,a1)+~P20(f85(f63(x9353),x9351),f85(f63(x9353),x9352),x9353) % 1.50/1.52 [936]~P44(x9363)+P20(x9361,x9362,x9363)+~P20(f85(f49(x9363),x9362),f85(f49(x9363),x9361),x9363) % 1.50/1.52 [1071]P83(f85(x10711,x10712))+~P83(f85(x10711,f103(x10711,x10713)))+~P83(f85(f85(f86(a88),x10712),f82(x10713,a88))) % 1.50/1.52 [1072]P83(f85(x10721,x10722))+~P83(f85(x10721,f104(x10721,x10723)))+~P83(f85(f85(f86(a88),x10722),f82(x10723,a88))) % 1.50/1.52 [1189]E(f75(x11891,x11892),f75(x11893,x11892))+~P20(x11891,f75(x11893,x11892),f90(f91(x11892,x11892),a2))+~P20(x11893,x11891,f90(f91(x11892,x11892),a2)) % 1.50/1.52 [1372]~P16(x13723,x13722)+~P20(x13721,f77(x13723,x13721,x13722,x13722),f90(x13722,a2))+E(x13721,f60(f90(x13722,a2))) % 1.50/1.52 [1619]E(x16191,x16192)+~P83(f85(f85(f86(f91(a88,a88)),f69(x16191,x16192,a88,a88)),f75(x16193,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(x16191,f106(x16191,x16192,x16193),a88,a88)),f75(x16193,a88))) % 1.50/1.52 [697]~P29(x6973)+E(x6971,x6972)+~E(f85(f85(f55(x6973),x6971),x6972),f4(x6973)) % 1.50/1.52 [698]~P38(x6983)+E(x6981,x6982)+~E(f85(f85(f55(x6983),x6981),x6982),f4(x6983)) % 1.50/1.52 [734]~P38(x7342)+E(x7341,f85(f49(x7342),x7343))+~E(f85(f85(f57(x7342),x7341),x7343),f4(x7342)) % 1.50/1.52 [735]~P38(x7351)+E(f85(f49(x7351),x7352),x7353)+~E(f85(f85(f57(x7351),x7352),x7353),f4(x7351)) % 1.50/1.52 [782]~P49(x7823)+P20(x7821,x7822,x7823)+P83(f85(f85(f53(x7823),x7822),x7821)) % 1.50/1.52 [882]~P50(x8823)+P20(x8821,x8822,x8823)+~P83(f85(f85(f53(x8823),x8821),x8822)) % 1.50/1.52 [883]~P52(x8833)+P20(x8831,x8832,x8833)+~P83(f85(f85(f53(x8833),x8831),x8832)) % 1.50/1.52 [884]~P62(x8842)+E(x8841,f4(x8842))+E(f85(f85(f56(x8842),f85(f49(x8842),x8843)),f85(f49(x8842),x8841)),f85(f85(f56(x8842),x8843),x8841)) % 1.50/1.52 [888]~P58(x8881)+~P62(x8881)+E(f85(f85(f56(x8881),f85(f49(x8881),x8882)),f85(f49(x8881),x8883)),f85(f85(f56(x8881),x8882),x8883)) % 1.50/1.52 [918]~P44(x9181)+~P20(x9182,x9183,x9181)+P20(f85(f85(f55(x9181),x9182),x9183),f4(x9181),x9181) % 1.50/1.52 [923]~P49(x9231)+~P20(x9232,x9233,x9231)+~P83(f85(f85(f53(x9231),x9233),x9232)) % 1.50/1.52 [925]~P52(x9251)+~P20(x9252,x9253,x9251)+~P83(f85(f85(f53(x9251),x9253),x9252)) % 1.50/1.52 [988]~P6(x9882,x9883)+~P6(x9881,x9883)+P6(f62(x9881,x9882,f90(f91(x9883,x9883),a2)),x9883) % 1.50/1.52 [989]~P39(x9891)+~P20(x9892,f85(f49(x9891),x9893),x9891)+P20(f85(f85(f57(x9891),x9892),x9893),f4(x9891),x9891) % 1.50/1.52 [990]~P44(x9903)+P20(x9901,x9902,x9903)+~P20(f85(f85(f55(x9903),x9901),x9902),f4(x9903),x9903) % 1.50/1.52 [996]~P8(x9962,x9963)+E(f5(f78(x9961,x9962,x9963),x9963),f5(x9962,x9963))+~P83(f85(f85(f86(x9963),x9961),x9962)) % 1.50/1.52 [1007]~P1(x10073)+P19(x10071,f71(x10071,x10072,x10073),x10073)+~P83(f85(f85(f53(a1),f4(a1)),x10072)) % 1.50/1.52 [1020]~P49(x10201)+~P83(f85(f85(f53(x10201),x10203),x10202))+~P83(f85(f85(f53(x10201),x10202),x10203)) % 1.50/1.52 [1021]~P50(x10211)+~P83(f85(f85(f53(x10211),x10213),x10212))+~P83(f85(f85(f53(x10211),x10212),x10213)) % 1.50/1.52 [1023]~P52(x10231)+~P83(f85(f85(f53(x10231),x10233),x10232))+~P83(f85(f85(f53(x10231),x10232),x10233)) % 1.50/1.52 [1035]~P39(x10352)+P20(x10351,f85(f49(x10352),x10353),x10352)+~P20(f85(f85(f57(x10352),x10351),x10353),f4(x10352),x10352) % 1.50/1.52 [1191]~P44(x11911)+~P83(f85(f85(f53(x11911),x11913),f85(f49(x11911),x11912)))+P83(f85(f85(f53(x11911),x11912),f85(f49(x11911),x11913))) % 1.50/1.52 [1198]~P56(x11981)+P83(f85(f85(f53(x11981),f85(f63(x11981),x11982)),f85(f63(x11981),x11983)))+~P83(f85(f85(f53(a1),x11982),x11983)) % 1.50/1.52 [1206]~P44(x12061)+~P83(f85(f85(f53(x12061),x12063),x12062))+P83(f85(f85(f53(x12061),f85(f49(x12061),x12062)),f85(f49(x12061),x12063))) % 1.50/1.52 [1230]~P56(x12301)+P83(f85(f85(f53(x12301),f4(x12301)),f71(x12302,x12303,x12301)))+~P83(f85(f85(f53(x12301),f4(x12301)),x12302)) % 1.50/1.52 [1244]~P20(x12441,f78(x12443,f60(f90(x12442,a2)),x12442),f90(x12442,a2))+E(x12441,f60(f90(x12442,a2)))+E(x12441,f78(x12443,f60(f90(x12442,a2)),x12442)) % 1.50/1.52 [1264]~P56(x12643)+~P83(f85(f85(f53(x12643),f85(f63(x12643),x12641)),f85(f63(x12643),x12642)))+P83(f85(f85(f53(a1),x12641),x12642)) % 1.50/1.52 [1270]~P44(x12701)+~P83(f85(f85(f53(x12701),f85(f49(x12701),x12703)),f85(f49(x12701),x12702)))+P83(f85(f85(f53(x12701),x12702),x12703)) % 1.50/1.52 [1288]~P44(x12881)+P83(f85(f85(f53(x12881),f85(f85(f55(x12881),x12882),x12883)),f4(x12881)))+~P83(f85(f85(f53(x12881),x12882),x12883)) % 1.50/1.52 [1370]~P44(x13701)+~P83(f85(f85(f53(x13701),f85(f85(f55(x13701),x13702),x13703)),f4(x13701)))+P83(f85(f85(f53(x13701),x13702),x13703)) % 1.50/1.52 [1375]~P56(x13751)+~P83(f85(f85(f53(x13751),f54(x13751)),x13752))+P83(f85(f85(f53(x13751),f54(x13751)),f85(f85(f59(x13751),x13752),f71(x13752,x13753,x13751)))) % 1.50/1.52 [1448]~P56(x14481)+P83(f85(f85(f53(x14481),f71(x14482,x14483,x14481)),f85(f85(f59(x14481),x14482),f71(x14482,x14483,x14481))))+~P83(f85(f85(f53(x14481),f54(x14481)),x14482)) % 1.50/1.52 [1678]P83(f85(f85(f86(f91(a88,a88)),f69(x16781,x16782,a88,a88)),x16783))+~P83(f85(f85(f86(f91(a88,a88)),f69(x16781,x16782,a88,a88)),f80(x16783,f75(x16783,a88),a88,a88,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(x16781,f107(x16781,x16782,x16783),a88,a88)),f80(x16783,f75(x16783,a88),a88,a88,a88))) % 1.50/1.52 [876]~P62(x8762)+E(x8761,f4(x8762))+E(f85(f85(f56(x8762),x8763),f85(f49(x8762),x8761)),f85(f49(x8762),f85(f85(f56(x8762),x8763),x8761))) % 1.50/1.52 [880]~P58(x8801)+~P62(x8801)+E(f85(f85(f56(x8801),x8802),f85(f49(x8801),x8803)),f85(f49(x8801),f85(f85(f56(x8801),x8802),x8803))) % 1.50/1.52 [1054]~P58(x10541)+~P62(x10541)+E(f71(f85(f85(f56(x10541),f54(x10541)),x10542),x10543,x10541),f85(f85(f56(x10541),f54(x10541)),f71(x10542,x10543,x10541))) % 1.50/1.52 [1241]~P68(x12412)+E(x12411,f4(x12412))+~E(f85(f85(f57(x12412),f85(f85(f59(x12412),x12413),x12413)),f85(f85(f59(x12412),x12411),x12411)),f4(x12412)) % 1.50/1.52 [1242]~P68(x12422)+E(x12421,f4(x12422))+~E(f85(f85(f57(x12422),f85(f85(f59(x12422),x12421),x12421)),f85(f85(f59(x12422),x12423),x12423)),f4(x12422)) % 1.50/1.52 [1281]~P44(x12811)+~P83(f85(f85(f53(x12811),f85(f49(x12811),x12813)),x12812))+P83(f85(f85(f53(x12811),f85(f49(x12811),x12812)),x12813)) % 1.50/1.52 [1424]~P68(x14242)+E(x14241,f4(x14242))+~P20(f85(f85(f57(x14242),f85(f85(f59(x14242),x14243),x14243)),f85(f85(f59(x14242),x14241),x14241)),f4(x14242),x14242) % 1.50/1.52 [1425]~P68(x14252)+E(x14251,f4(x14252))+~P20(f85(f85(f57(x14252),f85(f85(f59(x14252),x14251),x14251)),f85(f85(f59(x14252),x14253),x14253)),f4(x14252),x14252) % 1.50/1.52 [1479]~P67(x14791)+~P83(f85(f85(f53(x14791),x14792),x14793))+P83(f85(f85(f53(x14791),x14792),f85(f85(f56(x14791),f85(f85(f57(x14791),x14792),x14793)),f85(f85(f57(x14791),f54(x14791)),f54(x14791))))) % 1.50/1.52 [1618]E(x16181,x16182)+~P83(f85(f85(f86(f91(a88,a88)),f69(x16181,x16182,a88,a88)),f75(x16183,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(f106(x16181,x16182,x16183),x16182,a88,a88)),x16183)) % 1.50/1.52 [1668]P83(f85(f85(f86(f91(a88,a88)),f69(x16681,x16682,a88,a88)),x16683))+~P83(f85(f85(f86(f91(a88,a88)),f69(x16681,x16682,a88,a88)),f80(x16683,f75(x16683,a88),a88,a88,a88)))+P83(f85(f85(f86(f91(a88,a88)),f69(f107(x16681,x16682,x16683),x16682,a88,a88)),x16683)) % 1.50/1.52 [938]~P62(x9382)+E(x9381,f4(x9382))+E(f85(f85(f56(x9382),f85(f85(f59(x9382),x9383),x9381)),x9381),x9383) % 1.50/1.52 [1463]~P68(x14632)+E(x14631,f4(x14632))+P83(f85(f85(f53(x14632),f4(x14632)),f85(f85(f57(x14632),f85(f85(f59(x14632),x14633),x14633)),f85(f85(f59(x14632),x14631),x14631)))) % 1.50/1.52 [1464]~P68(x14642)+E(x14641,f4(x14642))+P83(f85(f85(f53(x14642),f4(x14642)),f85(f85(f57(x14642),f85(f85(f59(x14642),x14641),x14641)),f85(f85(f59(x14642),x14643),x14643)))) % 1.50/1.52 [1527]~P67(x15271)+~P83(f85(f85(f53(x15271),x15272),x15273))+P83(f85(f85(f53(x15271),f85(f85(f56(x15271),f85(f85(f57(x15271),x15272),x15273)),f85(f85(f57(x15271),f54(x15271)),f54(x15271)))),x15273)) % 1.50/1.52 [826]~P20(x8263,x8261,f90(x8264,a2))+P83(f85(x8261,x8262))+~P83(f85(x8263,x8262)) % 1.50/1.52 [913]~P26(x9134)+~P20(x9131,x9133,x9134)+P20(x9131,f62(x9132,x9133,x9134),x9134) % 1.50/1.52 [914]~P26(x9144)+~P20(x9141,x9142,x9144)+P20(x9141,f62(x9142,x9143,x9144),x9144) % 1.50/1.52 [915]~P25(x9153)+~P20(x9152,x9154,x9153)+P20(f61(x9151,x9152,x9153),x9154,x9153) % 1.50/1.52 [916]~P25(x9163)+~P20(x9161,x9164,x9163)+P20(f61(x9161,x9162,x9163),x9164,x9163) % 1.50/1.52 [944]P8(x9442,x9443)+~P36(x9444)+E(f52(x9441,x9442,x9443,x9444),f54(x9444)) % 1.50/1.52 [981]~P25(x9813)+P20(x9811,x9812,x9813)+~P20(x9811,f61(x9814,x9812,x9813),x9813) % 1.50/1.52 [983]~P25(x9833)+P20(x9831,x9832,x9833)+~P20(x9831,f61(x9832,x9834,x9833),x9833) % 1.50/1.52 [985]~P26(x9853)+P20(x9851,x9852,x9853)+~P20(f62(x9854,x9851,x9853),x9852,x9853) % 1.50/1.52 [987]~P26(x9873)+P20(x9871,x9872,x9873)+~P20(f62(x9871,x9874,x9873),x9872,x9873) % 1.50/1.52 [991]~P20(x9911,x9914,f90(x9913,a2))+~P20(x9914,x9912,f90(x9913,a2))+P20(x9911,x9912,f90(x9913,a2)) % 1.50/1.52 [1036]~P1(x10363)+~P20(x10362,x10364,a1)+P19(f71(x10361,x10362,x10363),f71(x10361,x10364,x10363),x10363) % 1.50/1.52 [1038]~P1(x10383)+~P19(x10381,x10384,x10383)+P19(f71(x10381,x10382,x10383),f71(x10384,x10382,x10383),x10383) % 1.50/1.52 [1024]P13(x10241,x10242,x10243)+~P13(x10244,x10242,x10243)+~P20(x10241,x10244,f90(f91(x10242,x10243),a2)) % 1.50/1.52 [1109]E(x11091,x11092)+P83(f85(x11093,x11091))+~P83(f85(f78(x11092,x11093,x11094),x11091)) % 1.50/1.52 [1139]~P16(x11393,x11394)+P83(f85(x11391,x11392))+~P83(f85(x11391,f44(x11391,x11393,x11394))) % 1.50/1.52 [1140]~P16(x11403,x11404)+P83(f85(x11401,x11402))+~P83(f85(x11401,f64(x11401,x11403,x11404))) % 1.50/1.52 [1141]~P16(x11413,x11414)+P83(f85(x11411,x11412))+~P83(f85(x11411,f45(x11411,x11413,x11414))) % 1.50/1.52 [1142]~P16(x11423,x11424)+P83(f85(x11421,x11422))+~P83(f85(x11421,f47(x11421,x11423,x11424))) % 1.50/1.52 [1183]~P20(x11831,x11832,f90(x11834,a2))+~P20(x11831,x11833,f90(x11834,a2))+P20(x11831,f61(x11832,x11833,f90(x11834,a2)),f90(x11834,a2)) % 1.50/1.52 [1185]~P20(x11851,x11854,f90(x11853,a2))+~P20(x11852,x11854,f90(x11853,a2))+P20(f62(x11851,x11852,f90(x11853,a2)),x11854,f90(x11853,a2)) % 1.50/1.52 [1276]P83(f85(x12761,x12762))+~P83(f85(f85(f86(x12764),x12762),f82(x12763,x12764)))+~P83(f85(x12761,f13(x12761,x12763,x12764))) % 1.50/1.52 [1277]P83(f85(x12771,x12772))+~P83(f85(f85(f86(x12774),x12772),f82(x12773,x12774)))+~P83(f85(x12771,f41(x12771,x12773,x12774))) % 1.50/1.52 [1348]P83(f85(x13481,x13482))+P83(f85(f85(f86(x13483),f13(x13481,x13484,x13483)),f82(x13484,x13483)))+~P83(f85(f85(f86(x13483),x13482),f82(x13484,x13483))) % 1.50/1.52 [1349]P83(f85(x13491,x13492))+P83(f85(f85(f86(x13493),f41(x13491,x13494,x13493)),f82(x13494,x13493)))+~P83(f85(f85(f86(x13493),x13492),f82(x13494,x13493))) % 1.50/1.52 [1384]~P36(x13844)+E(f52(x13841,x13842,x13843,x13844),f54(x13844))+~E(f85(x13841,f17(x13842,x13841,x13843,x13844)),f54(x13844)) % 1.50/1.52 [1528]~P16(x15284,x15283)+P16(f78(f69(x15281,x15282,x15283,x15283),x15284,f91(x15283,x15283)),x15283)+P83(f85(f85(f86(f91(x15283,x15283)),f69(x15282,x15281,x15283,x15283)),f75(x15284,x15283))) % 1.50/1.52 [1529]~P18(x15294,x15293)+P18(f78(f69(x15291,x15292,x15293,x15293),x15294,f91(x15293,x15293)),x15293)+P83(f85(f85(f86(f91(x15293,x15293)),f69(x15292,x15291,x15293,x15293)),f75(x15294,x15293))) % 1.50/1.53 [1550]E(x15501,x15502)+~P83(f85(f85(f86(f91(x15503,x15503)),f69(x15501,x15502,x15503,x15503)),f75(x15504,x15503)))+P83(f85(f85(f86(x15503),x15501),f67(x15504,x15503,x15503))) % 1.50/1.53 [1556]~P83(f85(f85(f86(f91(x15561,x15561)),f69(x15562,x15564,x15561,x15561)),f75(x15563,x15561)))+P83(f85(f85(f86(x15561),x15562),f82(x15563,x15561)))+~P83(f85(f85(f86(x15561),x15564),f82(x15563,x15561))) % 1.50/1.53 [1641]E(x16411,x16412)+P83(f85(f85(f86(f91(x16413,x16413)),f69(x16411,f34(x16411,x16412,x16414,x16413),x16413,x16413)),f75(x16414,x16413)))+~P83(f85(f85(f86(f91(x16413,x16413)),f69(x16411,x16412,x16413,x16413)),f75(x16414,x16413))) % 1.50/1.53 [1642]E(x16421,x16422)+P83(f85(f85(f86(f91(x16423,x16423)),f69(f31(x16424,x16421,x16422,x16423),x16422,x16423,x16423)),f75(x16424,x16423)))+~P83(f85(f85(f86(f91(x16423,x16423)),f69(x16421,x16422,x16423,x16423)),f75(x16424,x16423))) % 1.50/1.53 [737]P8(x7374,x7371)+~P2(x7372)+E(f85(f85(f51(x7371,x7372),x7373),x7374),f4(x7372)) % 1.50/1.53 [789]~P30(x7893)+E(x7891,x7892)+~E(f85(f85(f57(x7893),x7894),x7891),f85(f85(f57(x7893),x7894),x7892)) % 1.50/1.53 [790]~P33(x7903)+E(x7901,x7902)+~E(f85(f85(f57(x7903),x7904),x7901),f85(f85(f57(x7903),x7904),x7902)) % 1.50/1.53 [791]~P29(x7913)+E(x7911,x7912)+~E(f85(f85(f55(x7913),x7914),x7914),f85(f85(f55(x7913),x7911),x7912)) % 1.50/1.53 [792]~P33(x7923)+E(x7921,x7922)+~E(f85(f85(f57(x7923),x7921),x7924),f85(f85(f57(x7923),x7922),x7924)) % 1.50/1.53 [793]~P29(x7933)+E(x7931,x7932)+~E(f85(f85(f55(x7933),x7931),x7932),f85(f85(f55(x7933),x7934),x7934)) % 1.50/1.53 [910]~P1(x9102)+~P19(x9101,x9104,x9102)+P19(x9101,f85(f85(f59(x9102),x9103),x9104),x9102) % 1.50/1.53 [911]~P1(x9112)+~P19(x9111,x9113,x9112)+P19(x9111,f85(f85(f59(x9112),x9113),x9114),x9112) % 1.50/1.53 [966]~P1(x9663)+P19(x9661,x9662,x9663)+~P19(f85(f85(f59(x9663),x9664),x9661),x9662,x9663) % 1.50/1.53 [967]~P1(x9673)+P19(x9671,x9672,x9673)+~P19(f85(f85(f59(x9673),x9671),x9674),x9672,x9673) % 1.50/1.53 [1026]~P34(x10261)+~P20(x10262,x10264,x10261)+P20(f85(f85(f57(x10261),x10262),x10263),f85(f85(f57(x10261),x10264),x10263),x10261) % 1.50/1.53 [1027]~P42(x10271)+~P20(x10272,x10274,x10271)+P20(f85(f85(f57(x10271),x10272),x10273),f85(f85(f57(x10271),x10274),x10273),x10271) % 1.50/1.53 [1028]~P34(x10281)+~P20(x10283,x10284,x10281)+P20(f85(f85(f57(x10281),x10282),x10283),f85(f85(f57(x10281),x10282),x10284),x10281) % 1.50/1.53 [1029]~P42(x10291)+~P20(x10293,x10294,x10291)+P20(f85(f85(f57(x10291),x10292),x10293),f85(f85(f57(x10291),x10292),x10294),x10291) % 1.50/1.53 [1030]~P63(x10301)+~P19(x10302,x10304,x10301)+P19(f85(f85(f59(x10301),x10302),x10303),f85(f85(f59(x10301),x10304),x10303),x10301) % 1.50/1.53 [1031]~P63(x10311)+~P19(x10313,x10314,x10311)+P19(f85(f85(f59(x10311),x10312),x10313),f85(f85(f59(x10311),x10312),x10314),x10311) % 1.50/1.53 [1102]~P20(x11024,x11023,f90(x11021,a2))+~P83(f85(f85(f86(x11021),x11022),x11024))+P83(f85(f85(f86(x11021),x11022),x11023)) % 1.50/1.53 [1131]~P83(f85(x11312,x11314))+~P83(f85(x11311,x11314))+P83(f85(f61(x11311,x11312,f90(x11313,a2)),x11314)) % 1.50/1.53 [1173]~P34(x11733)+P20(x11731,x11732,x11733)+~P20(f85(f85(f57(x11733),x11734),x11731),f85(f85(f57(x11733),x11734),x11732),x11733) % 1.50/1.53 [1174]~P34(x11743)+P20(x11741,x11742,x11743)+~P20(f85(f85(f57(x11743),x11741),x11744),f85(f85(f57(x11743),x11742),x11744),x11743) % 1.50/1.53 [1180]~P20(x11801,f78(x11804,x11802,x11803),f90(x11803,a2))+P20(x11801,x11802,f90(x11803,a2))+P83(f85(f85(f86(x11803),x11804),x11801)) % 1.50/1.53 [1181]~P20(x11812,x11814,f90(x11813,a2))+P20(f78(x11811,x11812,x11813),x11814,f90(x11813,a2))+~P83(f85(f85(f86(x11813),x11811),x11814)) % 1.50/1.53 [1200]~P26(x12001)+P83(f85(f85(f53(x12001),x12002),f62(x12003,x12004,x12001)))+~P83(f85(f85(f53(x12001),x12002),x12004)) % 1.50/1.53 [1201]~P26(x12011)+P83(f85(f85(f53(x12011),x12012),f62(x12013,x12014,x12011)))+~P83(f85(f85(f53(x12011),x12012),x12013)) % 1.50/1.53 [1203]~E(f61(x12031,x12032,f90(x12033,a2)),f60(f90(x12033,a2)))+~P83(f85(f85(f86(x12033),x12034),x12031))+~P83(f85(f85(f86(x12033),x12034),x12032)) % 1.50/1.53 [1243]P83(f85(x12431,x12432))+P83(f85(x12433,x12432))+~P83(f85(f62(x12431,x12433,f90(x12434,a2)),x12432)) % 1.50/1.53 [1248]E(x12481,x12482)+~P83(f85(f85(f86(x12483),x12481),f78(x12482,x12484,x12483)))+P83(f85(f85(f86(x12483),x12481),x12484)) % 1.50/1.53 [1289]~P25(x12891)+~P83(f85(f85(f53(x12891),x12893),x12894))+P83(f85(f85(f53(x12891),f61(x12892,x12893,x12891)),x12894)) % 1.50/1.53 [1290]~P25(x12901)+~P83(f85(f85(f53(x12901),x12902),x12904))+P83(f85(f85(f53(x12901),f61(x12902,x12903,x12901)),x12904)) % 1.50/1.53 [1296]~P16(x12963,x12961)+P83(f85(f85(f86(x12961),f46(x12962,x12963,x12961)),x12962))+~P83(f85(f85(f86(x12961),x12964),x12962)) % 1.50/1.53 [1297]~P16(x12973,x12971)+P83(f85(f85(f86(x12971),f42(x12972,x12973,x12971)),x12972))+~P83(f85(f85(f86(x12971),x12974),x12972)) % 1.50/1.53 [1312]~P83(f85(f85(f86(x13121),x13122),x13124))+~P83(f85(f85(f86(x13121),x13122),x13123))+P83(f85(f85(f86(x13121),x13122),f61(x13123,x13124,f90(x13121,a2)))) % 1.50/1.53 [1347]P83(f85(f85(f86(x13471),x13472),x13473))+P83(f85(f85(f86(x13471),x13472),x13474))+~P83(f85(f85(f86(x13471),x13472),f62(x13473,x13474,f90(x13471,a2)))) % 1.50/1.53 [1357]~P2(x13572)+~E(f85(x13573,f15(x13574,x13573,x13571,x13572)),f4(x13572))+E(f85(f85(f51(x13571,x13572),x13573),x13574),f4(x13572)) % 1.50/1.53 [1494]~P2(x14942)+E(f85(f85(f51(x14941,x14942),x14943),x14944),f4(x14942))+P83(f85(f85(f86(x14941),f15(x14944,x14943,x14941,x14942)),x14944)) % 1.50/1.53 [1499]~P36(x14994)+E(f52(x14991,x14992,x14993,x14994),f54(x14994))+P83(f85(f85(f86(x14993),f17(x14992,x14991,x14993,x14994)),x14992)) % 1.50/1.53 [1510]~P14(x15104,x15103,x15101)+~P83(f85(f85(f86(x15101),x15102),x15104))+P83(f85(f85(f86(f91(x15101,x15101)),f69(x15102,x15102,x15101,x15101)),x15103)) % 1.50/1.53 [1522]~P36(x15221)+~P81(x15221)+E(f52(f7(f63(x15221),x15222,a1,x15221,x15223),x15224,x15223,x15221),f85(f63(x15221),f52(x15222,x15224,x15223,a1))) % 1.50/1.53 [1523]~P56(x15234)+P83(f85(f85(f53(x15234),f4(x15234)),f52(x15233,x15232,x15231,x15234)))+P83(f85(f85(f86(x15231),f18(x15232,x15233,x15231,x15234)),x15232)) % 1.50/1.53 [1552]P83(f85(f85(f86(x15521),x15522),f82(x15523,x15521)))+~P83(f85(f85(f86(x15521),x15524),f82(x15523,x15521)))+~P83(f85(f85(f86(f91(x15521,x15521)),f69(x15522,x15524,x15521,x15521)),x15523)) % 1.50/1.53 [1567]~P56(x15671)+P83(f85(f85(f53(x15671),f4(x15671)),f52(x15672,x15673,x15674,x15671)))+~P83(f85(f85(f53(x15671),f4(x15671)),f85(x15672,f18(x15673,x15672,x15674,x15671)))) % 1.50/1.53 [1608]~P6(x16084,x16081)+~P83(f85(f85(f86(f91(x16081,x16081)),f69(x16083,x16082,x16081,x16081)),x16084))+P83(f85(f85(f86(f91(x16081,x16081)),f69(x16082,x16083,x16081,x16081)),x16084)) % 1.50/1.53 [1609]E(x16091,x16092)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16093,x16091,a87,a87)),f85(f85(a8,x16094),x16092)))+P83(f85(f85(f86(f91(a87,a87)),f69(x16093,x16091,a87,a87)),x16094)) % 1.50/1.53 [1610]E(x16101,x16102)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16101,x16103,a87,a87)),f85(f85(a9,x16104),x16102)))+P83(f85(f85(f86(f91(a87,a87)),f69(x16101,x16103,a87,a87)),x16104)) % 1.50/1.53 [1623]~P16(x16231,x16232)+~P83(f85(f85(f86(f91(x16232,x16232)),f69(x16234,x16233,x16232,x16232)),x16231))+~P83(f85(f85(f86(f91(x16232,x16232)),f69(x16233,x16234,x16232,x16232)),x16231)) % 1.50/1.53 [1648]E(x16481,x16482)+~P83(f85(f85(f86(f91(x16483,x16483)),f69(x16481,x16482,x16483,x16483)),f75(x16484,x16483)))+P83(f85(f85(f86(f91(x16483,x16483)),f69(x16481,x16482,x16483,x16483)),f80(x16484,f75(x16484,x16483),x16483,x16483,x16483))) % 1.50/1.53 [1655]~P20(x16554,x16553,f90(f91(x16551,x16551),a2))+~P83(f85(f85(f86(f91(x16551,x16551)),x16552),f80(x16554,f75(x16554,x16551),x16551,x16551,x16551)))+P83(f85(f85(f86(f91(x16551,x16551)),x16552),f80(x16553,f75(x16553,x16551),x16551,x16551,x16551))) % 1.50/1.53 [1687]P83(f85(f85(f86(f91(x16871,x16871)),f69(x16872,f40(x16872,x16873,x16874,x16871),x16871,x16871)),f80(x16874,f75(x16874,x16871),x16871,x16871,x16871)))+~P83(f85(f85(f86(f91(x16871,x16871)),f69(x16872,x16873,x16871,x16871)),f80(x16874,f75(x16874,x16871),x16871,x16871,x16871)))+P83(f85(f85(f86(f91(x16871,x16871)),f69(x16872,x16873,x16871,x16871)),x16874)) % 1.50/1.53 [1688]P83(f85(f85(f86(f91(x16881,x16881)),f69(f36(x16884,x16882,x16883,x16881),x16883,x16881,x16881)),f80(x16884,f75(x16884,x16881),x16881,x16881,x16881)))+~P83(f85(f85(f86(f91(x16881,x16881)),f69(x16882,x16883,x16881,x16881)),f80(x16884,f75(x16884,x16881),x16881,x16881,x16881)))+P83(f85(f85(f86(f91(x16881,x16881)),f69(x16882,x16883,x16881,x16881)),x16884)) % 1.50/1.53 [942]~P29(x9422)+E(x9421,f85(f49(x9422),x9423))+~E(f85(f85(f57(x9422),x9421),f85(f85(f57(x9422),x9424),x9423)),x9424) % 1.50/1.53 [1223]~P62(x12232)+E(x12231,f4(x12232))+E(f85(f85(f56(x12232),f71(x12233,x12234,x12232)),f71(x12231,x12234,x12232)),f71(f85(f85(f56(x12232),x12233),x12231),x12234,x12232)) % 1.50/1.53 [1224]~P58(x12241)+~P62(x12241)+E(f85(f85(f56(x12241),f71(x12242,x12243,x12241)),f71(x12244,x12243,x12241)),f71(f85(f85(f56(x12241),x12242),x12244),x12243,x12241)) % 1.50/1.53 [1303]~P63(x13031)+~P22(x13031)+E(f85(f85(f57(x13031),f85(f85(f59(x13031),x13032),x13033)),f85(f85(f59(x13031),x13032),x13034)),f85(f85(f57(x13031),f85(f85(f59(x13031),x13032),x13034)),f85(f85(f59(x13031),x13032),x13033))) % 1.50/1.53 [1353]~P34(x13531)+~P83(f85(f85(f53(x13531),x13532),x13534))+P83(f85(f85(f53(x13531),f85(f85(f57(x13531),x13532),x13533)),f85(f85(f57(x13531),x13534),x13533))) % 1.50/1.53 [1354]~P47(x13541)+~P83(f85(f85(f53(x13541),x13542),x13544))+P83(f85(f85(f53(x13541),f85(f85(f57(x13541),x13542),x13543)),f85(f85(f57(x13541),x13544),x13543))) % 1.50/1.53 [1355]~P34(x13551)+~P83(f85(f85(f53(x13551),x13553),x13554))+P83(f85(f85(f53(x13551),f85(f85(f57(x13551),x13552),x13553)),f85(f85(f57(x13551),x13552),x13554))) % 1.50/1.53 [1356]~P47(x13561)+~P83(f85(f85(f53(x13561),x13563),x13564))+P83(f85(f85(f53(x13561),f85(f85(f57(x13561),x13562),x13563)),f85(f85(f57(x13561),x13562),x13564))) % 1.50/1.53 [1426]~P34(x14261)+P83(f85(f85(f53(x14261),x14262),x14263))+~P83(f85(f85(f53(x14261),f85(f85(f57(x14261),x14264),x14262)),f85(f85(f57(x14261),x14264),x14263))) % 1.50/1.53 [1427]~P34(x14271)+P83(f85(f85(f53(x14271),x14272),x14273))+~P83(f85(f85(f53(x14271),f85(f85(f57(x14271),x14272),x14274)),f85(f85(f57(x14271),x14273),x14274))) % 1.50/1.53 [1638]E(x16381,x16382)+~P83(f85(f85(f86(f91(x16383,x16383)),f69(x16381,x16382,x16383,x16383)),f75(x16384,x16383)))+P83(f85(f85(f86(f91(x16383,x16383)),f69(x16381,f31(x16384,x16381,x16382,x16383),x16383,x16383)),x16384)) % 1.50/1.53 [1639]E(x16391,x16392)+~P83(f85(f85(f86(f91(x16393,x16393)),f69(x16391,x16392,x16393,x16393)),f75(x16394,x16393)))+P83(f85(f85(f86(f91(x16393,x16393)),f69(f34(x16391,x16392,x16394,x16393),x16392,x16393,x16393)),x16394)) % 1.50/1.53 [1675]~P83(f85(f85(f86(f91(x16751,x16751)),f69(x16752,x16753,x16751,x16751)),f80(x16754,f75(x16754,x16751),x16751,x16751,x16751)))+P83(f85(f85(f86(f91(x16751,x16751)),f69(x16752,x16753,x16751,x16751)),x16754))+P83(f85(f85(f86(f91(x16751,x16751)),f69(x16752,f36(x16754,x16752,x16753,x16751),x16751,x16751)),x16754)) % 1.50/1.53 [1676]~P83(f85(f85(f86(f91(x16761,x16761)),f69(x16762,x16763,x16761,x16761)),f80(x16764,f75(x16764,x16761),x16761,x16761,x16761)))+P83(f85(f85(f86(f91(x16761,x16761)),f69(x16762,x16763,x16761,x16761)),x16764))+P83(f85(f85(f86(f91(x16761,x16761)),f69(f40(x16762,x16763,x16764,x16761),x16763,x16761,x16761)),x16764)) % 1.50/1.53 [1212]~P58(x12121)+~P62(x12121)+E(f85(f85(f59(x12121),f85(f85(f56(x12121),x12122),x12123)),x12124),f85(f85(f56(x12121),f85(f85(f59(x12121),x12122),x12124)),x12123)) % 1.50/1.53 [1495]~P9(x14954,x14953,x14951)+~P83(f85(f85(f86(x14951),x14952),x14954))+P83(f85(f85(f86(x14951),x14952),f77(x14953,f78(x14952,f60(f90(x14951,a2)),x14951),x14951,x14951))) % 1.50/1.53 [900]~P21(x9004)+P20(f85(x9001,x9002),f85(x9003,x9002),x9004)+~P20(x9001,x9003,f90(x9005,x9004)) % 1.50/1.53 [1511]~P13(x15112,x15114,x15115)+~P13(x15111,x15113,x15114)+P13(f80(x15111,x15112,x15113,x15114,x15115),x15113,x15115) % 1.50/1.53 [1262]~P20(x12621,x12624,f90(x12623,a2))+~P20(x12622,x12625,f90(x12623,a2))+P20(f61(x12621,x12622,f90(x12623,a2)),f61(x12624,x12625,f90(x12623,a2)),f90(x12623,a2)) % 1.50/1.53 [1263]~P20(x12631,x12634,f90(x12633,a2))+~P20(x12632,x12635,f90(x12633,a2))+P20(f62(x12631,x12632,f90(x12633,a2)),f62(x12634,x12635,f90(x12633,a2)),f90(x12633,a2)) % 1.50/1.53 [1637]P83(f85(f85(f86(f91(x16371,x16371)),f69(x16372,x16373,x16371,x16371)),f75(x16374,x16371)))+~P83(f85(f85(f86(f91(x16371,x16371)),f69(x16372,x16375,x16371,x16371)),f75(x16374,x16371)))+~P83(f85(f85(f86(f91(x16371,x16371)),f69(x16375,x16373,x16371,x16371)),f75(x16374,x16371))) % 1.50/1.53 [1269]~P14(x12692,x12695,x12693)+~P14(x12691,x12694,x12693)+P14(f62(x12691,x12692,f90(x12693,a2)),f62(x12694,x12695,f90(f91(x12693,x12693),a2)),x12693) % 1.50/1.53 [1538]~P14(x15383,x15384,x15381)+~P83(f85(f85(f86(f91(x15381,x15381)),f69(x15385,x15382,x15381,x15381)),x15384))+P83(f85(f85(f86(x15381),x15382),x15383)) % 1.50/1.53 [1539]~P14(x15393,x15394,x15391)+~P83(f85(f85(f86(f91(x15391,x15391)),f69(x15392,x15395,x15391,x15391)),x15394))+P83(f85(f85(f86(x15391),x15392),x15393)) % 1.50/1.53 [1540]~P9(x15403,x15404,x15401)+~P83(f85(f85(f86(f91(x15401,x15401)),f69(x15405,x15402,x15401,x15401)),x15404))+P83(f85(f85(f86(x15401),x15402),x15403)) % 1.50/1.53 [1541]~P9(x15413,x15414,x15411)+~P83(f85(f85(f86(f91(x15411,x15411)),f69(x15412,x15415,x15411,x15411)),x15414))+P83(f85(f85(f86(x15411),x15412),x15413)) % 1.50/1.53 [1616]~P20(f85(x16164,x16162),f85(x16164,x16163),a1)+P83(f85(f85(f86(f91(x16161,x16161)),f69(x16162,x16163,x16161,x16161)),f84(x16164,x16165,x16161)))+~P83(f85(f85(f86(f91(x16161,x16161)),f69(x16162,x16163,x16161,x16161)),x16165)) % 1.50/1.53 [1635]P83(f85(f85(f86(f91(x16351,x16351)),f69(x16352,x16353,x16351,x16351)),f75(x16354,x16351)))+~P83(f85(f85(f86(f91(x16351,x16351)),f69(x16352,x16355,x16351,x16351)),f75(x16354,x16351)))+~P83(f85(f85(f86(f91(x16351,x16351)),f69(x16355,x16353,x16351,x16351)),x16354)) % 1.50/1.53 [1636]P83(f85(f85(f86(f91(x16361,x16361)),f69(x16362,x16363,x16361,x16361)),f75(x16364,x16361)))+~P83(f85(f85(f86(f91(x16361,x16361)),f69(x16365,x16363,x16361,x16361)),f75(x16364,x16361)))+~P83(f85(f85(f86(f91(x16361,x16361)),f69(x16362,x16365,x16361,x16361)),x16364)) % 1.50/1.53 [1662]~P83(f85(f85(f86(f91(x16621,x16621)),f69(x16622,x16625,x16621,x16621)),x16624))+P83(f85(f85(f86(f91(x16621,x16621)),f69(x16622,x16623,x16621,x16621)),f80(x16624,f75(x16624,x16621),x16621,x16621,x16621)))+~P83(f85(f85(f86(f91(x16621,x16621)),f69(x16625,x16623,x16621,x16621)),x16624)) % 1.50/1.53 [1663]~P83(f85(f85(f86(f91(x16631,x16631)),f69(x16632,x16635,x16631,x16631)),f75(x16634,x16631)))+P83(f85(f85(f86(f91(x16631,x16631)),f69(x16632,x16633,x16631,x16631)),f80(x16634,f75(x16634,x16631),x16631,x16631,x16631)))+~P83(f85(f85(f86(f91(x16631,x16631)),f69(x16635,x16633,x16631,x16631)),x16634)) % 1.50/1.53 [1679]P83(f85(f85(f86(f91(x16791,x16791)),f69(x16792,x16793,x16791,x16791)),f80(x16794,f75(x16794,x16791),x16791,x16791,x16791)))+~P83(f85(f85(f86(f91(x16791,x16791)),f69(x16792,x16795,x16791,x16791)),f80(x16794,f75(x16794,x16791),x16791,x16791,x16791)))+~P83(f85(f85(f86(f91(x16791,x16791)),f69(x16795,x16793,x16791,x16791)),x16794)) % 1.50/1.53 [1680]P83(f85(f85(f86(f91(x16801,x16801)),f69(x16802,x16803,x16801,x16801)),f80(x16804,f75(x16804,x16801),x16801,x16801,x16801)))+~P83(f85(f85(f86(f91(x16801,x16801)),f69(x16805,x16803,x16801,x16801)),f80(x16804,f75(x16804,x16801),x16801,x16801,x16801)))+~P83(f85(f85(f86(f91(x16801,x16801)),f69(x16802,x16805,x16801,x16801)),x16804)) % 1.50/1.53 [1681]~P83(f85(f85(f86(f91(x16811,x16811)),f69(x16815,x16813,x16811,x16811)),f75(x16814,x16811)))+P83(f85(f85(f86(f91(x16811,x16811)),f69(x16812,x16813,x16811,x16811)),f80(x16814,f75(x16814,x16811),x16811,x16811,x16811)))+~P83(f85(f85(f86(f91(x16811,x16811)),f69(x16812,x16815,x16811,x16811)),f80(x16814,f75(x16814,x16811),x16811,x16811,x16811))) % 1.50/1.53 [1682]~P83(f85(f85(f86(f91(x16821,x16821)),f69(x16822,x16825,x16821,x16821)),f75(x16824,x16821)))+P83(f85(f85(f86(f91(x16821,x16821)),f69(x16822,x16823,x16821,x16821)),f80(x16824,f75(x16824,x16821),x16821,x16821,x16821)))+~P83(f85(f85(f86(f91(x16821,x16821)),f69(x16825,x16823,x16821,x16821)),f80(x16824,f75(x16824,x16821),x16821,x16821,x16821))) % 1.50/1.53 [1691]P83(f85(f85(f86(f91(x16911,x16911)),f69(x16912,x16913,x16911,x16911)),f80(x16914,f75(x16914,x16911),x16911,x16911,x16911)))+~P83(f85(f85(f86(f91(x16911,x16911)),f69(x16912,x16915,x16911,x16911)),f80(x16914,f75(x16914,x16911),x16911,x16911,x16911)))+~P83(f85(f85(f86(f91(x16911,x16911)),f69(x16915,x16913,x16911,x16911)),f80(x16914,f75(x16914,x16911),x16911,x16911,x16911))) % 1.50/1.53 [1077]~P29(x10771)+E(f85(f85(f57(x10771),x10772),x10773),x10774)+~E(f85(f85(f57(x10771),x10772),f85(f85(f57(x10771),x10775),x10773)),f85(f85(f57(x10771),x10775),x10774)) % 1.50/1.53 [1304]~P58(x13041)+~P62(x13041)+E(f85(f85(f59(x13041),f85(f85(f56(x13041),x13042),x13043)),f85(f85(f56(x13041),x13044),x13045)),f85(f85(f56(x13041),f85(f85(f59(x13041),x13042),x13044)),f85(f85(f59(x13041),x13043),x13045))) % 1.50/1.53 [1339]E(x13391,x13392)+E(x13391,x13393)+~E(f78(x13394,f78(x13391,f60(f90(x13395,a2)),x13395),x13395),f78(x13393,f78(x13392,f60(f90(x13395,a2)),x13395),x13395)) % 1.50/1.53 [1340]E(x13401,x13402)+E(x13403,x13402)+~E(f78(x13403,f78(x13401,f60(f90(x13404,a2)),x13404),x13404),f78(x13405,f78(x13402,f60(f90(x13404,a2)),x13404),x13404)) % 1.50/1.53 [1341]E(x13411,x13412)+E(x13413,x13412)+~E(f78(x13413,f78(x13411,f60(f90(x13414,a2)),x13414),x13414),f78(x13412,f78(x13415,f60(f90(x13414,a2)),x13414),x13414)) % 1.50/1.53 [1342]E(x13421,x13422)+E(x13421,x13423)+~E(f78(x13421,f78(x13424,f60(f90(x13425,a2)),x13425),x13425),f78(x13423,f78(x13422,f60(f90(x13425,a2)),x13425),x13425)) % 1.50/1.53 [1571]~P9(x15715,x15711,x15713)+E(f77(x15711,f78(x15712,f60(f90(x15713,a2)),x15713),x15713,x15713),f77(x15711,f78(x15714,f60(f90(x15713,a2)),x15713),x15713,x15713))+~P83(f85(f85(f86(f91(x15713,x15713)),f69(x15712,x15714,x15713,x15713)),x15711)) % 1.50/1.53 [1601]~P9(x16015,x16011,x16013)+P20(f77(x16011,f78(x16012,f60(f90(x16013,a2)),x16013),x16013,x16013),f77(x16011,f78(x16014,f60(f90(x16013,a2)),x16013),x16013,x16013),f90(x16013,a2))+~P83(f85(f85(f86(f91(x16013,x16013)),f69(x16012,x16014,x16013,x16013)),x16011)) % 1.50/1.53 [1709]~P2(x17092)+~P8(x17095,x17091)+E(f85(f85(f51(x17091,x17092),f85(f6(f48(f7(f50(x17092),f85(f6(f86(x17091),x17091,f90(x17091,a2),a2),x17093),a2,f90(x17092,f90(x17092,x17092)),x17091),x17094,x17091,x17092,f90(x17092,x17092)),x17091,x17092,x17092),f4(x17092))),x17095),f85(f85(f51(x17091,x17092),x17094),f61(x17095,x17093,f90(x17091,a2)))) % 1.50/1.53 [1452]~P20(x14522,x14526,f90(x14523,a2))+P20(f77(x14521,x14522,x14523,x14524),f77(x14525,x14526,x14523,x14524),f90(x14524,a2))+~P20(x14521,x14525,f90(f91(x14523,x14524),a2)) % 1.50/1.53 [1535]~P83(f85(f85(f86(x15352),x15354),f85(x15356,x15353)))+P83(f85(f85(f86(f91(x15351,x15352)),f69(x15353,x15354,x15351,x15352)),f70(x15355,x15356,x15351,x15352)))+~P83(f85(f85(f86(x15351),x15353),x15355)) % 1.50/1.53 [1553]~P10(x15534,x15531,x15535,x15536)+E(f85(x15531,x15532),f85(x15531,x15533))+~P83(f85(f85(f86(f91(x15535,x15535)),f69(x15532,x15533,x15535,x15535)),x15534)) % 1.50/1.53 [1576]P83(f85(f85(f86(x15761),x15762),f77(x15763,x15764,x15765,x15761)))+~P83(f85(f85(f86(f91(x15765,x15761)),f69(x15766,x15762,x15765,x15761)),x15763))+~P83(f85(f85(f86(x15765),x15766),x15764)) % 1.50/1.53 [1665]~P9(x16655,x16654,x16651)+P83(f85(f85(f86(f91(x16651,x16651)),f69(x16652,x16653,x16651,x16651)),x16654))+~P83(f85(f85(f86(x16651),x16656),f61(f77(x16654,f78(x16652,f60(f90(x16651,a2)),x16651),x16651,x16651),f77(x16654,f78(x16653,f60(f90(x16651,a2)),x16651),x16651,x16651),f90(x16651,a2)))) % 1.50/1.53 [1700]~P2(x17002)+~P8(x17006,x17001)+E(f85(f85(f51(x17001,x17002),f48(f48(f7(f50(x17002),f85(f6(f86(x17001),x17001,f90(x17001,a2),a2),x17003),a2,f90(x17002,f90(x17002,x17002)),x17001),x17004,x17001,x17002,f90(x17002,x17002)),x17005,x17001,x17002,x17002)),x17006),f85(f85(f57(x17002),f85(f85(f51(x17001,x17002),x17004),f61(x17006,x17003,f90(x17001,a2)))),f85(f85(f51(x17001,x17002),x17005),f61(x17006,f85(f49(f90(x17001,a2)),x17003),f90(x17001,a2))))) % 1.50/1.53 [1703]P83(f85(f85(f86(x17031),x17035),x17036))+P83(f85(f85(f86(x17031),x17034),x17036))+E(f81(f85(f6(f85(f6(f7(f50(x17031),f85(f6(f86(x17032),x17032,f90(x17032,a2),a2),x17033),a2,f90(x17031,f90(x17031,x17031)),x17032),x17032,x17031,f90(x17031,x17031)),x17034),x17032,x17031,x17031),x17035),x17036,x17032,x17031),f60(f90(x17032,a2))) % 1.50/1.53 [1704]P83(f85(f85(f86(x17041),x17045),x17046))+~P83(f85(f85(f86(x17041),x17044),x17046))+E(f81(f85(f6(f85(f6(f7(f50(x17041),f85(f6(f86(x17042),x17042,f90(x17042,a2),a2),x17043),a2,f90(x17041,f90(x17041,x17041)),x17042),x17042,x17041,f90(x17041,x17041)),x17044),x17042,x17041,x17041),x17045),x17046,x17042,x17041),x17043) % 1.50/1.53 [1705]P83(f85(f85(f86(x17051),x17054),x17056))+~P83(f85(f85(f86(x17051),x17055),x17056))+E(f81(f85(f6(f85(f6(f7(f50(x17051),f85(f6(f86(x17052),x17052,f90(x17052,a2),a2),x17053),a2,f90(x17051,f90(x17051,x17051)),x17052),x17052,x17051,f90(x17051,x17051)),x17054),x17052,x17051,x17051),x17055),x17056,x17052,x17051),f85(f49(f90(x17052,a2)),x17053)) % 1.50/1.53 [1706]~P83(f85(f85(f86(x17061),x17065),x17066))+~P83(f85(f85(f86(x17061),x17064),x17066))+E(f81(f85(f6(f85(f6(f7(f50(x17061),f85(f6(f86(x17062),x17062,f90(x17062,a2),a2),x17063),a2,f90(x17061,f90(x17061,x17061)),x17062),x17062,x17061,f90(x17061,x17061)),x17064),x17062,x17061,x17061),x17065),x17066,x17062,x17061),f68(f90(x17062,a2))) % 1.50/1.53 [1480]~P78(x14802)+~E(f85(f85(f57(x14802),f85(f85(f59(x14802),x14804),x14805)),x14801),f85(f85(f57(x14802),f85(f85(f59(x14802),x14803),x14805)),x14806))+E(x14801,f85(f85(f57(x14802),f85(f85(f59(x14802),f85(f85(f55(x14802),x14803),x14804)),x14805)),x14806)) % 1.50/1.53 [1481]~P78(x14811)+~E(f85(f85(f57(x14811),f85(f85(f59(x14811),x14812),x14814)),x14815),f85(f85(f57(x14811),f85(f85(f59(x14811),x14813),x14814)),x14816))+E(f85(f85(f57(x14811),f85(f85(f59(x14811),f85(f85(f55(x14811),x14812),x14813)),x14814)),x14815),x14816) % 1.50/1.53 [1543]~P75(x15432)+~P20(f85(f85(f57(x15432),f85(f85(f59(x15432),x15434),x15435)),x15431),f85(f85(f57(x15432),f85(f85(f59(x15432),x15433),x15435)),x15436),x15432)+P20(x15431,f85(f85(f57(x15432),f85(f85(f59(x15432),f85(f85(f55(x15432),x15433),x15434)),x15435)),x15436),x15432) % 1.50/1.53 [1544]~P75(x15441)+~P20(f85(f85(f57(x15441),f85(f85(f59(x15441),x15442),x15444)),x15445),f85(f85(f57(x15441),f85(f85(f59(x15441),x15443),x15444)),x15446),x15441)+P20(f85(f85(f57(x15441),f85(f85(f59(x15441),f85(f85(f55(x15441),x15442),x15443)),x15444)),x15445),x15446,x15441) % 1.50/1.53 [1568]~P75(x15681)+P20(f85(f85(f57(x15681),f85(f85(f59(x15681),x15682),x15683)),x15684),f85(f85(f57(x15681),f85(f85(f59(x15681),x15685),x15683)),x15686),x15681)+~P20(x15684,f85(f85(f57(x15681),f85(f85(f59(x15681),f85(f85(f55(x15681),x15685),x15682)),x15683)),x15686),x15681) % 1.50/1.53 [1569]~P75(x15691)+P20(f85(f85(f57(x15691),f85(f85(f59(x15691),x15692),x15693)),x15694),f85(f85(f57(x15691),f85(f85(f59(x15691),x15695),x15693)),x15696),x15691)+~P20(f85(f85(f57(x15691),f85(f85(f59(x15691),f85(f85(f55(x15691),x15692),x15695)),x15693)),x15694),x15696,x15691) % 1.50/1.53 [1634]~P75(x16341)+~P83(f85(f85(f53(x16341),f85(f85(f57(x16341),f85(f85(f59(x16341),x16344),x16345)),x16342)),f85(f85(f57(x16341),f85(f85(f59(x16341),x16343),x16345)),x16346)))+P83(f85(f85(f53(x16341),x16342),f85(f85(f57(x16341),f85(f85(f59(x16341),f85(f85(f55(x16341),x16343),x16344)),x16345)),x16346))) % 1.50/1.53 [1645]~P75(x16451)+P83(f85(f85(f53(x16451),f85(f85(f57(x16451),f85(f85(f59(x16451),x16452),x16453)),x16454)),f85(f85(f57(x16451),f85(f85(f59(x16451),x16455),x16453)),x16456)))+~P83(f85(f85(f53(x16451),x16454),f85(f85(f57(x16451),f85(f85(f59(x16451),f85(f85(f55(x16451),x16455),x16452)),x16453)),x16456))) % 1.50/1.53 [1658]~P75(x16581)+~P83(f85(f85(f53(x16581),f85(f85(f57(x16581),f85(f85(f59(x16581),x16582),x16584)),x16585)),f85(f85(f57(x16581),f85(f85(f59(x16581),x16583),x16584)),x16586)))+P83(f85(f85(f53(x16581),f85(f85(f57(x16581),f85(f85(f59(x16581),f85(f85(f55(x16581),x16582),x16583)),x16584)),x16585)),x16586)) % 1.50/1.53 [1670]~P75(x16701)+P83(f85(f85(f53(x16701),f85(f85(f57(x16701),f85(f85(f59(x16701),x16702),x16703)),x16704)),f85(f85(f57(x16701),f85(f85(f59(x16701),x16705),x16703)),x16706)))+~P83(f85(f85(f53(x16701),f85(f85(f57(x16701),f85(f85(f59(x16701),f85(f85(f55(x16701),x16702),x16705)),x16703)),x16704)),x16706)) % 1.50/1.53 [1594]~P20(x15942,x15947,f90(f91(x15944,x15945),a2))+~P20(x15941,x15946,f90(f91(x15943,x15944),a2))+P20(f80(x15941,x15942,x15943,x15944,x15945),f80(x15946,x15947,x15943,x15944,x15945),f90(f91(x15943,x15945),a2)) % 1.50/1.53 [1627]~E(f72(x16271,x16274,x16275,x16276,x16277),f72(x16273,x16274,x16275,x16276,x16277))+E(f85(x16271,x16272),f85(x16273,x16272))+~P83(f85(f85(f86(f91(x16276,x16276)),f69(x16272,x16275,x16276,x16276)),x16274)) % 1.50/1.53 [1661]P83(f85(f85(f86(f91(x16611,x16612)),f69(x16613,x16614,x16611,x16612)),f80(x16615,x16616,x16611,x16617,x16612)))+~P83(f85(f85(f86(f91(x16611,x16617)),f69(x16613,x16618,x16611,x16617)),x16615))+~P83(f85(f85(f86(f91(x16617,x16612)),f69(x16618,x16614,x16617,x16612)),x16616)) % 1.50/1.53 [692]~P71(x6922)+~P48(x6922)+E(x6921,f4(a1))+E(f71(f4(x6922),x6921,x6922),f4(x6922)) % 1.50/1.53 [1336]~P67(x13361)+~P58(x13361)+~P83(f85(f85(f53(x13361),x13362),f4(x13361)))+P83(f85(f85(f53(x13361),f85(f85(f56(x13361),f54(x13361)),x13362)),f4(x13361))) % 1.50/1.53 [1409]~P67(x14091)+~P58(x14091)+~P83(f85(f85(f53(x14091),f85(f85(f56(x14091),f54(x14091)),x14092)),f4(x14091)))+P83(f85(f85(f53(x14091),x14092),f4(x14091))) % 1.50/1.53 [807]~P82(x8072)+E(x8071,f4(x8072))+E(f58(x8071,x8072),f85(f49(x8072),f54(x8072)))+P83(f85(f85(f53(x8072),f4(x8072)),x8071)) % 1.50/1.53 [881]~P39(x8812)+~P49(x8812)+E(f62(x8811,f85(f49(x8812),x8811),x8812),x8811)+P83(f85(f85(f53(x8812),x8811),f4(x8812))) % 1.50/1.53 [894]~P82(x8942)+E(f58(x8941,x8942),f54(x8942))+E(x8941,f4(x8942))+~P83(f85(f85(f53(x8942),f4(x8942)),x8941)) % 1.50/1.53 [960]~P67(x9601)+~P58(x9601)+~P20(f4(x9601),x9602,x9601)+P20(f4(x9601),f85(f85(f56(x9601),f54(x9601)),x9602),x9601) % 1.50/1.53 [961]~P67(x9611)+~P58(x9611)+~P20(x9612,f4(x9611),x9611)+P20(f85(f85(f56(x9611),f54(x9611)),x9612),f4(x9611),x9611) % 1.50/1.53 [972]~P39(x9722)+~P49(x9722)+E(f62(x9721,f85(f49(x9722),x9721),x9722),f85(f49(x9722),x9721))+~P83(f85(f85(f53(x9722),x9721),f4(x9722))) % 1.50/1.53 [1066]~P67(x10662)+~P58(x10662)+P20(x10661,f4(x10662),x10662)+~P20(f85(f85(f56(x10662),f54(x10662)),x10661),f4(x10662),x10662) % 1.50/1.53 [1067]~P67(x10671)+~P58(x10671)+P20(f4(x10671),x10672,x10671)+~P20(f4(x10671),f85(f85(f56(x10671),f54(x10671)),x10672),x10671) % 1.50/1.53 [1246]~P67(x12461)+~P58(x12461)+~P83(f85(f85(f53(x12461),f4(x12461)),x12462))+P83(f85(f85(f53(x12461),f4(x12461)),f85(f85(f56(x12461),f54(x12461)),x12462))) % 1.50/1.53 [1313]~P67(x13131)+~P58(x13131)+P83(f85(f85(f53(x13131),f4(x13131)),x13132))+~P83(f85(f85(f53(x13131),f4(x13131)),f85(f85(f56(x13131),f54(x13131)),x13132))) % 1.50/1.53 [806]~P20(x8062,x8061,x8063)+~P20(x8061,x8062,x8063)+E(x8061,x8062)+~P50(x8063) % 1.50/1.53 [971]E(x9711,x9712)+~P8(x9712,x9713)+~P20(x9711,x9712,f90(x9713,a2))+~P20(f5(x9712,x9713),f5(x9711,x9713),a1) % 1.50/1.53 [854]~P4(x8541)+~E(f61(x8542,x8543,x8541),f60(x8541))+~E(f62(x8542,x8543,x8541),f68(x8541))+E(f85(f49(x8541),x8542),x8543) % 1.50/1.53 [1334]~P46(x13341)+~P20(x13343,f4(x13341),x13341)+~P83(f85(f85(f53(x13341),x13342),f4(x13341)))+P83(f85(f85(f53(x13341),f85(f85(f57(x13341),x13342),x13343)),f4(x13341))) % 1.50/1.53 [1335]~P46(x13351)+~P20(x13352,f4(x13351),x13351)+~P83(f85(f85(f53(x13351),x13353),f4(x13351)))+P83(f85(f85(f53(x13351),f85(f85(f57(x13351),x13352),x13353)),f4(x13351))) % 1.50/1.53 [1358]~P46(x13581)+~P83(f85(f85(f53(x13581),x13583),f4(x13581)))+~P83(f85(f85(f53(x13581),x13582),f4(x13581)))+P83(f85(f85(f53(x13581),f85(f85(f57(x13581),x13582),x13583)),f4(x13581))) % 1.50/1.53 [703]~P62(x7033)+E(x7031,x7032)+E(x7032,f4(x7033))+~E(f85(f85(f56(x7033),x7031),x7032),f54(x7033)) % 1.50/1.53 [704]~P63(x7042)+~P22(x7042)+E(x7041,f4(x7042))+~E(f85(f85(f57(x7042),x7043),x7041),x7043) % 1.50/1.53 [714]~P63(x7143)+~P22(x7143)+E(x7141,x7142)+~E(f85(f85(f55(x7143),x7141),x7142),f4(x7143)) % 1.50/1.53 [717]~P76(x7172)+E(x7171,f4(x7172))+E(x7173,f4(x7172))+~E(f85(f85(f59(x7172),x7173),x7171),f4(x7172)) % 1.50/1.53 [719]~P59(x7192)+E(x7191,f4(x7192))+E(x7193,f4(x7192))+~E(f85(f85(f59(x7192),x7193),x7191),f4(x7192)) % 1.50/1.53 [819]~P63(x8193)+E(x8191,x8192)+E(x8191,f85(f49(x8193),x8192))+~E(f85(f85(f59(x8193),x8191),x8191),f85(f85(f59(x8193),x8192),x8192)) % 1.50/1.53 [837]~P49(x8373)+~P20(x8371,x8372,x8373)+E(x8371,x8372)+P83(f85(f85(f53(x8373),x8371),x8372)) % 1.50/1.53 [843]~P50(x8433)+~P20(x8431,x8432,x8433)+E(x8431,x8432)+P83(f85(f85(f53(x8433),x8431),x8432)) % 1.50/1.53 [870]~P49(x8703)+E(x8701,x8702)+P83(f85(f85(f53(x8703),x8702),x8701))+P83(f85(f85(f53(x8703),x8701),x8702)) % 1.50/1.53 [871]~P66(x8713)+E(x8711,x8712)+P83(f85(f85(f53(x8713),x8712),x8711))+P83(f85(f85(f53(x8713),x8711),x8712)) % 1.50/1.53 [917]~P52(x9173)+~P20(x9172,x9171,x9173)+P20(x9171,x9172,x9173)+P83(f85(f85(f53(x9173),x9172),x9171)) % 1.50/1.53 [1039]~P68(x10391)+~P20(x10393,f4(x10391),x10391)+~P20(x10392,f4(x10391),x10391)+P20(f4(x10391),f85(f85(f59(x10391),x10392),x10393),x10391) % 1.50/1.53 [1041]~P75(x10411)+~P20(x10413,f4(x10411),x10411)+~P20(x10412,f4(x10411),x10411)+P20(f4(x10411),f85(f85(f59(x10411),x10412),x10413),x10411) % 1.50/1.53 [1042]~P46(x10421)+~P20(f4(x10421),x10423,x10421)+~P20(f4(x10421),x10422,x10421)+P20(f4(x10421),f85(f85(f57(x10421),x10422),x10423),x10421) % 1.50/1.53 [1043]~P68(x10431)+~P20(f4(x10431),x10433,x10431)+~P20(f4(x10431),x10432,x10431)+P20(f4(x10431),f85(f85(f59(x10431),x10432),x10433),x10431) % 1.50/1.53 [1044]~P75(x10441)+~P20(f4(x10441),x10443,x10441)+~P20(f4(x10441),x10442,x10441)+P20(f4(x10441),f85(f85(f59(x10441),x10442),x10443),x10441) % 1.50/1.53 [1045]~P73(x10451)+~P20(f4(x10451),x10453,x10451)+~P20(f4(x10451),x10452,x10451)+P20(f4(x10451),f85(f85(f59(x10451),x10452),x10453),x10451) % 1.50/1.53 [1046]~P46(x10461)+~P20(x10463,f4(x10461),x10461)+~P20(x10462,f4(x10461),x10461)+P20(f85(f85(f57(x10461),x10462),x10463),f4(x10461),x10461) % 1.50/1.53 [1047]~P68(x10471)+~P20(x10473,f4(x10471),x10471)+~P20(f4(x10471),x10472,x10471)+P20(f85(f85(f59(x10471),x10472),x10473),f4(x10471),x10471) % 1.50/1.53 [1048]~P68(x10481)+~P20(x10482,f4(x10481),x10481)+~P20(f4(x10481),x10483,x10481)+P20(f85(f85(f59(x10481),x10482),x10483),f4(x10481),x10481) % 1.50/1.53 [1050]~P73(x10501)+~P20(x10503,f4(x10501),x10501)+~P20(f4(x10501),x10502,x10501)+P20(f85(f85(f59(x10501),x10502),x10503),f4(x10501),x10501) % 1.50/1.53 [1053]~P73(x10531)+~P20(x10532,f4(x10531),x10531)+~P20(f4(x10531),x10533,x10531)+P20(f85(f85(f59(x10531),x10532),x10533),f4(x10531),x10531) % 1.50/1.53 [1078]~P68(x10782)+P20(x10781,f4(x10782),x10782)+P20(x10783,f4(x10782),x10782)+~P20(f85(f85(f59(x10782),x10783),x10781),f4(x10782),x10782) % 1.50/1.53 [1079]~P68(x10792)+P20(x10791,f4(x10792),x10792)+P20(f4(x10792),x10793,x10792)+~P20(f4(x10792),f85(f85(f59(x10792),x10793),x10791),x10792) % 1.50/1.53 [1080]~P68(x10802)+P20(x10801,f4(x10802),x10802)+P20(f4(x10802),x10803,x10802)+~P20(f4(x10802),f85(f85(f59(x10802),x10801),x10803),x10802) % 1.50/1.53 [1081]~P68(x10812)+P20(x10811,f4(x10812),x10812)+P20(f4(x10812),x10811,x10812)+~P20(f4(x10812),f85(f85(f59(x10812),x10813),x10811),x10812) % 1.50/1.53 [1082]~P68(x10822)+P20(x10821,f4(x10822),x10822)+P20(f4(x10822),x10821,x10822)+~P20(f4(x10822),f85(f85(f59(x10822),x10821),x10823),x10822) % 1.50/1.53 [1083]~P68(x10832)+P20(x10831,f4(x10832),x10832)+P20(f4(x10832),x10831,x10832)+~P20(f85(f85(f59(x10832),x10833),x10831),f4(x10832),x10832) % 1.50/1.53 [1084]~P68(x10842)+P20(x10841,f4(x10842),x10842)+P20(f4(x10842),x10841,x10842)+~P20(f85(f85(f59(x10842),x10841),x10843),f4(x10842),x10842) % 1.50/1.53 [1085]~P68(x10851)+P20(f4(x10851),x10852,x10851)+P20(f4(x10851),x10853,x10851)+~P20(f85(f85(f59(x10851),x10852),x10853),f4(x10851),x10851) % 1.50/1.53 [1164]~P67(x11641)+~P20(x11642,f4(x11641),x11641)+P20(f4(x11641),f85(f85(f56(x11641),x11642),x11643),x11641)+~P83(f85(f85(f53(x11641),x11643),f4(x11641))) % 1.50/1.53 [1165]~P67(x11651)+~P20(f4(x11651),x11652,x11651)+P20(f85(f85(f56(x11651),x11652),x11653),f4(x11651),x11651)+~P83(f85(f85(f53(x11651),x11653),f4(x11651))) % 1.50/1.53 [1176]~P67(x11761)+~P20(f4(x11761),x11762,x11761)+P20(f4(x11761),f85(f85(f56(x11761),x11762),x11763),x11761)+~P83(f85(f85(f53(x11761),f4(x11761)),x11763)) % 1.50/1.53 [1177]~P67(x11771)+~P20(x11772,f4(x11771),x11771)+P20(f85(f85(f56(x11771),x11772),x11773),f4(x11771),x11771)+~P83(f85(f85(f53(x11771),f4(x11771)),x11773)) % 1.50/1.53 [1301]~P56(x13011)+P83(f85(f85(f53(x13011),f54(x13011)),f71(x13012,x13013,x13011)))+~P83(f85(f85(f53(x13011),f54(x13011)),x13012))+~P83(f85(f85(f53(a1),f4(a1)),x13013)) % 1.50/1.53 [1361]~P67(x13611)+~P83(f85(f85(f53(x13611),x13613),f4(x13611)))+P83(f85(f85(f53(x13611),f85(f85(f56(x13611),x13612),x13613)),f4(x13611)))+~P83(f85(f85(f53(x13611),f4(x13611)),x13612)) % 1.50/1.53 [1362]~P67(x13621)+~P83(f85(f85(f53(x13621),x13622),f4(x13621)))+P83(f85(f85(f53(x13621),f85(f85(f56(x13621),x13622),x13623)),f4(x13621)))+~P83(f85(f85(f53(x13621),f4(x13621)),x13623)) % 1.50/1.53 [1363]~P69(x13631)+~P83(f85(f85(f53(x13631),x13633),f4(x13631)))+P83(f85(f85(f53(x13631),f85(f85(f59(x13631),x13632),x13633)),f4(x13631)))+~P83(f85(f85(f53(x13631),f4(x13631)),x13632)) % 1.50/1.53 [1365]~P69(x13651)+~P83(f85(f85(f53(x13651),x13652),f4(x13651)))+P83(f85(f85(f53(x13651),f85(f85(f59(x13651),x13652),x13653)),f4(x13651)))+~P83(f85(f85(f53(x13651),f4(x13651)),x13653)) % 1.50/1.53 [1416]~P16(x14162,x14163)+~P16(x14161,x14163)+~E(f61(f67(x14161,x14163,x14163),f67(f76(x14162,x14163,x14163),x14163,x14163),f90(x14163,a2)),f60(f90(x14163,a2)))+P16(f62(x14161,x14162,f90(f91(x14163,x14163),a2)),x14163) % 1.50/1.53 [1488]~P56(x14881)+P83(f85(f85(f53(x14881),f85(f85(f59(x14881),x14882),f71(x14882,x14883,x14881))),f71(x14882,x14883,x14881)))+~P83(f85(f85(f53(x14881),x14882),f54(x14881)))+~P83(f85(f85(f53(x14881),f4(x14881)),x14882)) % 1.50/1.53 [1564]~P16(x15642,x15643)+~P16(x15641,x15643)+~P20(f80(x15641,x15642,x15643,x15643,x15643),x15641,f90(f91(x15643,x15643),a2))+P16(f62(x15641,x15642,f90(f91(x15643,x15643),a2)),x15643) % 1.50/1.53 [1271]~P46(x12711)+~P20(f4(x12711),x12713,x12711)+~P83(f85(f85(f53(x12711),f4(x12711)),x12712))+P83(f85(f85(f53(x12711),f4(x12711)),f85(f85(f57(x12711),x12712),x12713))) % 1.50/1.53 [1272]~P46(x12721)+~P20(f4(x12721),x12722,x12721)+~P83(f85(f85(f53(x12721),f4(x12721)),x12723))+P83(f85(f85(f53(x12721),f4(x12721)),f85(f85(f57(x12721),x12722),x12723))) % 1.50/1.53 [1291]~P67(x12911)+~P83(f85(f85(f53(x12911),x12913),f4(x12911)))+~P83(f85(f85(f53(x12911),x12912),f4(x12911)))+P83(f85(f85(f53(x12911),f4(x12911)),f85(f85(f56(x12911),x12912),x12913))) % 1.50/1.53 [1292]~P68(x12921)+~P83(f85(f85(f53(x12921),x12923),f4(x12921)))+~P83(f85(f85(f53(x12921),x12922),f4(x12921)))+P83(f85(f85(f53(x12921),f4(x12921)),f85(f85(f59(x12921),x12922),x12923))) % 1.50/1.53 [1316]~P67(x13161)+~P83(f85(f85(f53(x13161),f4(x13161)),x13163))+~P83(f85(f85(f53(x13161),f4(x13161)),x13162))+P83(f85(f85(f53(x13161),f4(x13161)),f85(f85(f56(x13161),x13162),x13163))) % 1.50/1.53 [1317]~P46(x13171)+~P83(f85(f85(f53(x13171),f4(x13171)),x13173))+~P83(f85(f85(f53(x13171),f4(x13171)),x13172))+P83(f85(f85(f53(x13171),f4(x13171)),f85(f85(f57(x13171),x13172),x13173))) % 1.50/1.53 [1318]~P69(x13181)+~P83(f85(f85(f53(x13181),f4(x13181)),x13183))+~P83(f85(f85(f53(x13181),f4(x13181)),x13182))+P83(f85(f85(f53(x13181),f4(x13181)),f85(f85(f59(x13181),x13182),x13183))) % 1.50/1.53 [1319]~P56(x13191)+~P83(f85(f85(f53(x13191),f54(x13191)),x13193))+~P83(f85(f85(f53(x13191),f54(x13191)),x13192))+P83(f85(f85(f53(x13191),f54(x13191)),f85(f85(f59(x13191),x13192),x13193))) % 1.50/1.53 [1350]~P69(x13501)+P83(f85(f85(f53(x13501),f4(x13501)),x13502))+~P83(f85(f85(f53(x13501),f4(x13501)),x13503))+~P83(f85(f85(f53(x13501),f4(x13501)),f85(f85(f59(x13501),x13503),x13502))) % 1.50/1.53 [1351]~P69(x13511)+P83(f85(f85(f53(x13511),f4(x13511)),x13512))+~P83(f85(f85(f53(x13511),f4(x13511)),x13513))+~P83(f85(f85(f53(x13511),f4(x13511)),f85(f85(f59(x13511),x13512),x13513))) % 1.50/1.53 [951]~P58(x9512)+~P62(x9512)+E(x9511,f4(x9512))+E(f85(f85(f59(x9512),f85(f85(f56(x9512),x9513),x9511)),x9511),x9513) % 1.50/1.53 [890]~P50(x8903)+~P20(x8901,x8904,x8903)+P20(x8901,x8902,x8903)+~P20(x8904,x8902,x8903) % 1.50/1.53 [891]~P52(x8913)+~P20(x8911,x8914,x8913)+P20(x8911,x8912,x8913)+~P20(x8914,x8912,x8913) % 1.50/1.53 [892]~P1(x8923)+~P19(x8921,x8924,x8923)+P19(x8921,x8922,x8923)+~P19(x8924,x8922,x8923) % 1.50/1.53 [1014]~P25(x10144)+~P20(x10141,x10143,x10144)+~P20(x10141,x10142,x10144)+P20(x10141,f61(x10142,x10143,x10144),x10144) % 1.50/1.53 [1017]~P26(x10173)+~P20(x10172,x10174,x10173)+~P20(x10171,x10174,x10173)+P20(f62(x10171,x10172,x10173),x10174,x10173) % 1.50/1.53 [1166]~P56(x11663)+~P20(x11662,x11664,a1)+~P20(f54(x11663),x11661,x11663)+P20(f71(x11661,x11662,x11663),f71(x11661,x11664,x11663),x11663) % 1.50/1.53 [1169]~P56(x11693)+~P20(x11691,x11694,x11693)+~P20(f4(x11693),x11691,x11693)+P20(f71(x11691,x11692,x11693),f71(x11694,x11692,x11693),x11693) % 1.50/1.53 [801]~P63(x8013)+~P22(x8013)+E(x8011,x8012)+~E(f85(f85(f57(x8013),x8014),x8011),f85(f85(f57(x8013),x8014),x8012)) % 1.50/1.53 [1008]~P1(x10082)+~P19(x10081,x10084,x10082)+~P19(x10081,x10083,x10082)+P19(x10081,f85(f85(f57(x10082),x10083),x10084),x10082) % 1.50/1.53 [1009]~P54(x10092)+~P19(x10091,x10094,x10092)+~P19(x10091,x10093,x10092)+P19(x10091,f85(f85(f55(x10092),x10093),x10094),x10092) % 1.50/1.53 [1025]~P8(x10254,x10253)+E(f85(x10251,x10252),f4(a1))+~E(f85(f85(f51(x10253,a1),x10251),x10254),f4(a1))+~P83(f85(f85(f86(x10253),x10252),x10254)) % 1.50/1.53 [1056]~P50(x10561)+~P20(x10564,x10563,x10561)+~P83(f85(f85(f53(x10561),x10562),x10564))+P83(f85(f85(f53(x10561),x10562),x10563)) % 1.50/1.53 [1057]~P50(x10571)+~P20(x10572,x10574,x10571)+~P83(f85(f85(f53(x10571),x10574),x10573))+P83(f85(f85(f53(x10571),x10572),x10573)) % 1.50/1.53 [1058]~P52(x10581)+~P20(x10584,x10583,x10581)+~P83(f85(f85(f53(x10581),x10582),x10584))+P83(f85(f85(f53(x10581),x10582),x10583)) % 1.50/1.53 [1059]~P52(x10591)+~P20(x10592,x10594,x10591)+~P83(f85(f85(f53(x10591),x10594),x10593))+P83(f85(f85(f53(x10591),x10592),x10593)) % 1.50/1.53 [1086]~P56(x10864)+E(x10861,x10862)+~E(f71(x10863,x10861,x10864),f71(x10863,x10862,x10864))+~P83(f85(f85(f53(x10864),f54(x10864)),x10863)) % 1.50/1.53 [1087]E(x10871,x10872)+~E(f78(x10874,x10871,x10873),f78(x10874,x10872,x10873))+P83(f85(f85(f86(x10873),x10874),x10872))+P83(f85(f85(f86(x10873),x10874),x10871)) % 1.50/1.53 [1154]~P75(x11541)+~P20(x11544,x11542,x11541)+~P20(x11543,f4(x11541),x11541)+P20(f85(f85(f59(x11541),x11542),x11543),f85(f85(f59(x11541),x11544),x11543),x11541) % 1.50/1.53 [1155]~P75(x11551)+~P20(x11554,x11553,x11551)+~P20(x11552,f4(x11551),x11551)+P20(f85(f85(f59(x11551),x11552),x11553),f85(f85(f59(x11551),x11552),x11554),x11551) % 1.50/1.53 [1156]~P61(x11561)+~P20(x11562,x11564,x11561)+~P20(f4(x11561),x11563,x11561)+P20(f85(f85(f59(x11561),x11562),x11563),f85(f85(f59(x11561),x11564),x11563),x11561) % 1.50/1.53 [1157]~P61(x11571)+~P20(x11573,x11574,x11571)+~P20(f4(x11571),x11572,x11571)+P20(f85(f85(f59(x11571),x11572),x11573),f85(f85(f59(x11571),x11572),x11574),x11571) % 1.50/1.53 [1158]~P64(x11581)+~P20(x11583,x11584,x11581)+~P20(f4(x11581),x11582,x11581)+P20(f85(f85(f59(x11581),x11582),x11583),f85(f85(f59(x11581),x11582),x11584),x11581) % 1.50/1.53 [1159]~P50(x11591)+~P83(f85(f85(f53(x11591),x11592),x11594))+P83(f85(f85(f53(x11591),x11592),x11593))+~P83(f85(f85(f53(x11591),x11594),x11593)) % 1.50/1.53 [1160]~P52(x11601)+~P83(f85(f85(f53(x11601),x11602),x11604))+P83(f85(f85(f53(x11601),x11602),x11603))+~P83(f85(f85(f53(x11601),x11604),x11603)) % 1.50/1.53 [1186]~P63(x11862)+P19(x11863,x11864,x11862)+E(x11861,f4(x11862))+~P19(f85(f85(f59(x11862),x11861),x11863),f85(f85(f59(x11862),x11861),x11864),x11862) % 1.50/1.53 [1187]~P63(x11872)+P19(x11873,x11874,x11872)+E(x11871,f4(x11872))+~P19(f85(f85(f59(x11872),x11873),x11871),f85(f85(f59(x11872),x11874),x11871),x11872) % 1.50/1.53 [1221]~P68(x12211)+~P20(x12214,x12213,x12211)+P20(f85(f85(f59(x12211),x12212),x12213),f85(f85(f59(x12211),x12212),x12214),x12211)+~P83(f85(f85(f53(x12211),x12212),f4(x12211))) % 1.50/1.53 [1231]~P68(x12311)+~P20(x12313,x12314,x12311)+P20(f85(f85(f59(x12311),x12312),x12313),f85(f85(f59(x12311),x12312),x12314),x12311)+~P83(f85(f85(f53(x12311),f4(x12311)),x12312)) % 1.50/1.53 [1235]~P56(x12353)+~P20(x12352,x12354,a1)+P20(f71(x12351,x12352,x12353),f71(x12351,x12354,x12353),x12353)+~P83(f85(f85(f53(x12353),f54(x12353)),x12351)) % 1.50/1.53 [1249]~P67(x12492)+~P20(f85(f85(f59(x12492),x12491),x12494),x12493,x12492)+P20(x12491,f85(f85(f56(x12492),x12493),x12494),x12492)+~P83(f85(f85(f53(x12492),f4(x12492)),x12494)) % 1.50/1.53 [1250]~P67(x12501)+~P20(x12502,f85(f85(f59(x12501),x12504),x12503),x12501)+P20(f85(f85(f56(x12501),x12502),x12503),x12504,x12501)+~P83(f85(f85(f53(x12501),f4(x12501)),x12503)) % 1.50/1.53 [1275]~P68(x12753)+P20(x12751,x12752,x12753)+~P20(f85(f85(f59(x12753),x12754),x12752),f85(f85(f59(x12753),x12754),x12751),x12753)+~P83(f85(f85(f53(x12753),x12754),f4(x12753))) % 1.50/1.53 [1282]~P68(x12823)+P20(x12821,x12822,x12823)+~P20(f85(f85(f59(x12823),x12824),x12821),f85(f85(f59(x12823),x12824),x12822),x12823)+~P83(f85(f85(f53(x12823),f4(x12823)),x12824)) % 1.50/1.53 [1283]~P69(x12833)+P20(x12831,x12832,x12833)+~P20(f85(f85(f59(x12833),x12834),x12831),f85(f85(f59(x12833),x12834),x12832),x12833)+~P83(f85(f85(f53(x12833),f4(x12833)),x12834)) % 1.50/1.53 [1284]~P69(x12843)+P20(x12841,x12842,x12843)+~P20(f85(f85(f59(x12843),x12841),x12844),f85(f85(f59(x12843),x12842),x12844),x12843)+~P83(f85(f85(f53(x12843),f4(x12843)),x12844)) % 1.50/1.53 [1286]~P56(x12863)+~P20(f71(x12864,x12861,x12863),f71(x12864,x12862,x12863),x12863)+P20(x12861,x12862,a1)+~P83(f85(f85(f53(x12863),f54(x12863)),x12864)) % 1.50/1.53 [1408]~P56(x14081)+P83(f85(f85(f53(x14081),f71(x14082,x14083,x14081)),f71(x14082,x14084,x14081)))+~P83(f85(f85(f53(x14081),f54(x14081)),x14082))+~P83(f85(f85(f53(a1),x14083),x14084)) % 1.50/1.53 [1449]~P56(x14491)+~P20(f4(x14491),x14493,x14491)+~P83(f85(f85(f53(x14491),f71(x14492,x14494,x14491)),f71(x14493,x14494,x14491)))+P83(f85(f85(f53(x14491),x14492),x14493)) % 1.50/1.53 [1462]~P56(x14623)+~P83(f85(f85(f53(x14623),f71(x14624,x14621,x14623)),f71(x14624,x14622,x14623)))+~P83(f85(f85(f53(x14623),f54(x14623)),x14624))+P83(f85(f85(f53(a1),x14621),x14622)) % 1.50/1.53 [1491]~P8(x14913,x14914)+P83(f85(f85(f53(a1),f4(a1)),f85(x14911,x14912)))+~P83(f85(f85(f53(a1),f4(a1)),f52(x14911,x14913,x14914,a1)))+~P83(f85(f85(f86(x14914),x14912),x14913)) % 1.50/1.53 [1603]E(x16031,x16032)+E(x16033,x16032)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16033,x16031,a87,a87)),x16034))+P83(f85(f85(f86(f91(a87,a87)),f69(x16033,x16031,a87,a87)),f85(f85(a8,x16034),x16032))) % 1.50/1.53 [1604]E(x16041,x16042)+E(x16043,x16042)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16043,x16041,a87,a87)),x16044))+P83(f85(f85(f86(f91(a87,a87)),f69(x16043,x16041,a87,a87)),f85(f85(a9,x16044),x16042))) % 1.50/1.53 [1605]E(x16051,x16052)+E(x16053,x16051)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16053,x16051,a87,a87)),x16054))+P83(f85(f85(f86(f91(a87,a87)),f69(x16053,x16051,a87,a87)),f85(f85(a9,x16054),x16052))) % 1.50/1.53 [1606]E(x16061,x16062)+E(x16061,x16063)+~P83(f85(f85(f86(f91(a87,a87)),f69(x16061,x16063,a87,a87)),x16064))+P83(f85(f85(f86(f91(a87,a87)),f69(x16061,x16063,a87,a87)),f85(f85(a8,x16064),x16062))) % 1.50/1.53 [1625]E(x16251,x16252)+~P7(x16253,x16254)+~P83(f85(f85(f86(f91(x16254,x16254)),f69(x16252,x16251,x16254,x16254)),x16253))+~P83(f85(f85(f86(f91(x16254,x16254)),f69(x16251,x16252,x16254,x16254)),x16253)) % 1.50/1.53 [1129]~P58(x11292)+~P62(x11292)+E(x11291,f4(x11292))+E(f85(f85(f56(x11292),f85(f85(f59(x11292),x11293),x11291)),f85(f85(f59(x11292),x11294),x11291)),f85(f85(f56(x11292),x11293),x11294)) % 1.50/1.53 [1130]~P58(x11302)+~P62(x11302)+E(x11301,f4(x11302))+E(f85(f85(f56(x11302),f85(f85(f59(x11302),x11301),x11303)),f85(f85(f59(x11302),x11301),x11304)),f85(f85(f56(x11302),x11303),x11304)) % 1.50/1.53 [1287]~P56(x12871)+~P83(f85(f85(f53(x12871),f4(x12871)),x12873))+~P83(f85(f85(f53(x12871),x12872),x12874))+P83(f85(f85(f53(x12871),x12872),f85(f85(f57(x12871),x12873),x12874))) % 1.50/1.53 [1389]~P67(x13891)+~P83(f85(f85(f53(x13891),x13893),f4(x13891)))+~P83(f85(f85(f53(x13891),x13894),x13892))+P83(f85(f85(f53(x13891),f85(f85(f56(x13891),x13892),x13893)),f85(f85(f56(x13891),x13894),x13893))) % 1.50/1.53 [1391]~P68(x13911)+~P83(f85(f85(f53(x13911),x13913),f4(x13911)))+~P83(f85(f85(f53(x13911),x13914),x13912))+P83(f85(f85(f53(x13911),f85(f85(f59(x13911),x13912),x13913)),f85(f85(f59(x13911),x13914),x13913))) % 1.50/1.53 [1394]~P68(x13941)+~P83(f85(f85(f53(x13941),x13942),f4(x13941)))+~P83(f85(f85(f53(x13941),x13944),x13943))+P83(f85(f85(f53(x13941),f85(f85(f59(x13941),x13942),x13943)),f85(f85(f59(x13941),x13942),x13944))) % 1.50/1.53 [1398]~P67(x13981)+~P83(f85(f85(f53(x13981),x13982),x13984))+~P83(f85(f85(f53(x13981),f4(x13981)),x13983))+P83(f85(f85(f53(x13981),f85(f85(f56(x13981),x13982),x13983)),f85(f85(f56(x13981),x13984),x13983))) % 1.50/1.53 [1399]~P68(x13991)+~P83(f85(f85(f53(x13991),x13992),x13994))+~P83(f85(f85(f53(x13991),f4(x13991)),x13993))+P83(f85(f85(f53(x13991),f85(f85(f59(x13991),x13992),x13993)),f85(f85(f59(x13991),x13994),x13993))) % 1.50/1.53 [1400]~P69(x14001)+~P83(f85(f85(f53(x14001),x14002),x14004))+~P83(f85(f85(f53(x14001),f4(x14001)),x14003))+P83(f85(f85(f53(x14001),f85(f85(f59(x14001),x14002),x14003)),f85(f85(f59(x14001),x14004),x14003))) % 1.50/1.53 [1402]~P68(x14021)+~P83(f85(f85(f53(x14021),x14023),x14024))+~P83(f85(f85(f53(x14021),f4(x14021)),x14022))+P83(f85(f85(f53(x14021),f85(f85(f59(x14021),x14022),x14023)),f85(f85(f59(x14021),x14022),x14024))) % 1.50/1.53 [1403]~P69(x14031)+~P83(f85(f85(f53(x14031),x14033),x14034))+~P83(f85(f85(f53(x14031),f4(x14031)),x14032))+P83(f85(f85(f53(x14031),f85(f85(f59(x14031),x14032),x14033)),f85(f85(f59(x14031),x14032),x14034))) % 1.50/1.53 [1404]~P65(x14041)+~P83(f85(f85(f53(x14041),x14043),x14044))+~P83(f85(f85(f53(x14041),f4(x14041)),x14042))+P83(f85(f85(f53(x14041),f85(f85(f59(x14041),x14042),x14043)),f85(f85(f59(x14041),x14042),x14044))) % 1.50/1.53 [1434]~P69(x14341)+~P20(f4(x14341),x14344,x14341)+P83(f85(f85(f53(x14341),x14342),x14343))+~P83(f85(f85(f53(x14341),f85(f85(f59(x14341),x14344),x14342)),f85(f85(f59(x14341),x14344),x14343))) % 1.50/1.53 [1435]~P69(x14351)+~P20(f4(x14351),x14354,x14351)+P83(f85(f85(f53(x14351),x14352),x14353))+~P83(f85(f85(f53(x14351),f85(f85(f59(x14351),x14352),x14354)),f85(f85(f59(x14351),x14353),x14354))) % 1.50/1.53 [1436]~P70(x14361)+~P20(f4(x14361),x14364,x14361)+P83(f85(f85(f53(x14361),x14362),x14363))+~P83(f85(f85(f53(x14361),f85(f85(f59(x14361),x14364),x14362)),f85(f85(f59(x14361),x14364),x14363))) % 1.50/1.53 [1437]~P70(x14371)+~P20(f4(x14371),x14374,x14371)+P83(f85(f85(f53(x14371),x14372),x14373))+~P83(f85(f85(f53(x14371),f85(f85(f59(x14371),x14372),x14374)),f85(f85(f59(x14371),x14373),x14374))) % 1.50/1.53 [1441]~P68(x14411)+P83(f85(f85(f53(x14411),x14413),x14412))+P83(f85(f85(f53(x14411),x14412),x14413))+~P83(f85(f85(f53(x14411),f85(f85(f59(x14411),x14414),x14412)),f85(f85(f59(x14411),x14414),x14413))) % 1.50/1.53 [1442]~P68(x14421)+P83(f85(f85(f53(x14421),x14423),x14422))+P83(f85(f85(f53(x14421),x14422),x14423))+~P83(f85(f85(f53(x14421),f85(f85(f59(x14421),x14422),x14424)),f85(f85(f59(x14421),x14423),x14424))) % 1.50/1.53 [1443]~P68(x14431)+P83(f85(f85(f53(x14431),x14434),f4(x14431)))+P83(f85(f85(f53(x14431),x14432),x14433))+~P83(f85(f85(f53(x14431),f85(f85(f59(x14431),x14432),x14434)),f85(f85(f59(x14431),x14433),x14434))) % 1.50/1.53 [1444]~P68(x14441)+P83(f85(f85(f53(x14441),x14444),f4(x14441)))+P83(f85(f85(f53(x14441),x14442),x14443))+~P83(f85(f85(f53(x14441),f85(f85(f59(x14441),x14444),x14442)),f85(f85(f59(x14441),x14444),x14443))) % 1.50/1.53 [1446]~P68(x14461)+P83(f85(f85(f53(x14461),x14462),x14463))+P83(f85(f85(f53(x14461),f4(x14461)),x14464))+~P83(f85(f85(f53(x14461),f85(f85(f59(x14461),x14464),x14463)),f85(f85(f59(x14461),x14464),x14462))) % 1.50/1.53 [1447]~P68(x14471)+P83(f85(f85(f53(x14471),x14472),x14473))+P83(f85(f85(f53(x14471),f4(x14471)),x14474))+~P83(f85(f85(f53(x14471),f85(f85(f59(x14471),x14473),x14474)),f85(f85(f59(x14471),x14472),x14474))) % 1.50/1.53 [1450]~P68(x14501)+P83(f85(f85(f53(x14501),x14502),f4(x14501)))+P83(f85(f85(f53(x14501),f4(x14501)),x14502))+~P83(f85(f85(f53(x14501),f85(f85(f59(x14501),x14503),x14502)),f85(f85(f59(x14501),x14504),x14502))) % 1.50/1.53 [1451]~P68(x14511)+P83(f85(f85(f53(x14511),x14512),f4(x14511)))+P83(f85(f85(f53(x14511),f4(x14511)),x14512))+~P83(f85(f85(f53(x14511),f85(f85(f59(x14511),x14512),x14513)),f85(f85(f59(x14511),x14512),x14514))) % 1.50/1.53 [1458]~P68(x14581)+~P83(f85(f85(f53(x14581),x14584),f4(x14581)))+P83(f85(f85(f53(x14581),x14582),x14583))+~P83(f85(f85(f53(x14581),f85(f85(f59(x14581),x14584),x14583)),f85(f85(f59(x14581),x14584),x14582))) % 1.50/1.53 [1460]~P68(x14601)+P83(f85(f85(f53(x14601),x14602),x14603))+~P83(f85(f85(f53(x14601),f4(x14601)),x14604))+~P83(f85(f85(f53(x14601),f85(f85(f59(x14601),x14604),x14602)),f85(f85(f59(x14601),x14604),x14603))) % 1.50/1.53 [1557]P83(f85(x15571,x15572))+P83(f85(x15571,x15573))+~P83(f85(f85(f86(a88),x15573),f82(x15574,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15572,f103(x15571,x15574),a88,a88)),x15574)) % 1.50/1.53 [1558]P83(f85(x15581,x15582))+P83(f85(x15581,x15583))+~P83(f85(f85(f86(a88),x15583),f82(x15584,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15582,f104(x15581,x15584),a88,a88)),x15584)) % 1.50/1.53 [1561]P83(f85(x15611,x15612))+~P83(f85(f85(f86(a88),x15612),f82(x15614,a88)))+P83(f85(f85(f86(a88),x15613),f82(x15614,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15613,f103(x15611,x15614),a88,a88)),x15614)) % 1.50/1.53 [1562]P83(f85(x15621,x15622))+~P83(f85(f85(f86(a88),x15622),f82(x15624,a88)))+P83(f85(f85(f86(a88),x15623),f82(x15624,a88)))+~P83(f85(f85(f86(f91(a88,a88)),f69(x15623,f104(x15621,x15624),a88,a88)),x15624)) % 1.50/1.53 [1421]~P67(x14211)+~P83(f85(f85(f53(x14211),f4(x14211)),x14213))+~P83(f85(f85(f53(x14211),x14212),f85(f85(f59(x14211),x14214),x14213)))+P83(f85(f85(f53(x14211),f85(f85(f56(x14211),x14212),x14213)),x14214)) % 1.50/1.53 [1433]~P67(x14331)+~P83(f85(f85(f53(x14331),f4(x14331)),x14334))+P83(f85(f85(f53(x14331),x14332),f85(f85(f56(x14331),x14333),x14334)))+~P83(f85(f85(f53(x14331),f85(f85(f59(x14331),x14332),x14334)),x14333)) % 1.50/1.53 [1343]~P58(x13432)+~P62(x13432)+E(x13431,f4(x13432))+E(f85(f85(f56(x13432),f85(f85(f57(x13432),x13433),f85(f85(f59(x13432),x13434),x13431))),x13431),f85(f85(f57(x13432),x13434),f85(f85(f56(x13432),x13433),x13431))) % 1.50/1.53 [1369]~P58(x13692)+~P62(x13692)+E(x13691,f4(x13692))+E(f85(f85(f56(x13692),f85(f85(f57(x13692),x13693),f85(f85(f59(x13692),x13694),x13691))),x13691),f85(f85(f57(x13692),f85(f85(f56(x13692),x13693),x13691)),x13694)) % 1.50/1.53 [1151]~P1(x11513)+~P19(x11511,x11514,x11513)+~P20(x11512,x11515,a1)+P19(f71(x11511,x11512,x11513),f71(x11514,x11515,x11513),x11513) % 1.50/1.53 [1204]~P1(x12043)+~P19(f71(x12041,x12045,x12043),x12044,x12043)+P19(f71(x12041,x12042,x12043),x12044,x12043)+~P20(x12042,x12045,a1) % 1.50/1.53 [1573]~P83(f85(x15731,x15733))+P83(f85(x15731,x15732))+~P83(f85(f85(f86(f91(x15735,x15735)),f69(x15732,x15733,x15735,x15735)),f75(x15734,x15735)))+P83(f85(x15731,f29(x15731,x15733,x15734,x15735))) % 1.50/1.53 [1574]~P83(f85(x15741,x15743))+P83(f85(x15741,x15742))+~P83(f85(f85(f86(f91(x15745,x15745)),f69(x15743,x15742,x15745,x15745)),f75(x15744,x15745)))+P83(f85(x15741,f33(x15741,x15743,x15744,x15745))) % 1.50/1.53 [1595]P83(f85(x15951,x15952))+~P83(f85(x15951,x15953))+~P83(f85(f85(f86(f91(x15955,x15955)),f69(x15952,x15953,x15955,x15955)),f75(x15954,x15955)))+~P83(f85(x15951,f30(x15951,x15953,x15954,x15955))) % 1.50/1.53 [1596]P83(f85(x15961,x15962))+~P83(f85(x15961,x15963))+~P83(f85(f85(f86(f91(x15965,x15965)),f69(x15963,x15962,x15965,x15965)),f75(x15964,x15965)))+~P83(f85(x15961,f37(x15961,x15963,x15964,x15965))) % 1.50/1.53 [1643]~P83(f85(x16431,x16434))+P83(f85(x16431,x16432))+~P83(f85(f85(f86(f91(x16433,x16433)),f69(x16434,x16432,x16433,x16433)),f75(x16435,x16433)))+P83(f85(f85(f86(f91(x16433,x16433)),f69(x16434,f33(x16431,x16434,x16435,x16433),x16433,x16433)),f75(x16435,x16433))) % 1.50/1.53 [1644]~P83(f85(x16441,x16444))+P83(f85(x16441,x16442))+~P83(f85(f85(f86(f91(x16443,x16443)),f69(x16442,x16444,x16443,x16443)),f75(x16445,x16443)))+P83(f85(f85(f86(f91(x16443,x16443)),f69(f29(x16441,x16444,x16445,x16443),x16444,x16443,x16443)),f75(x16445,x16443))) % 1.50/1.53 [969]~P44(x9693)+~P20(x9695,x9694,x9693)+P20(x9691,x9692,x9693)+~E(f85(f85(f55(x9693),x9694),x9695),f85(f85(f55(x9693),x9692),x9691)) % 1.50/1.53 [970]~P44(x9703)+~P20(x9705,x9704,x9703)+P20(x9701,x9702,x9703)+~E(f85(f85(f55(x9703),x9702),x9701),f85(f85(f55(x9703),x9704),x9705)) % 1.50/1.53 [1143]~P42(x11431)+~P20(x11433,x11435,x11431)+~P20(x11432,x11434,x11431)+P20(f85(f85(f57(x11431),x11432),x11433),f85(f85(f57(x11431),x11434),x11435),x11431) % 1.50/1.53 [1144]~P1(x11441)+~P19(x11443,x11445,x11441)+~P19(x11442,x11444,x11441)+P19(f85(f85(f59(x11441),x11442),x11443),f85(f85(f59(x11441),x11444),x11445),x11441) % 1.50/1.53 [1152]~P44(x11521)+~E(f85(f85(f55(x11521),x11524),x11525),f85(f85(f55(x11521),x11522),x11523))+~P83(f85(f85(f53(x11521),x11524),x11525))+P83(f85(f85(f53(x11521),x11522),x11523)) % 1.50/1.53 [1153]~P44(x11531)+~E(f85(f85(f55(x11531),x11532),x11533),f85(f85(f55(x11531),x11534),x11535))+~P83(f85(f85(f53(x11531),x11534),x11535))+P83(f85(f85(f53(x11531),x11532),x11533)) % 1.50/1.53 [1202]~P44(x12022)+~P20(x12025,x12024,x12022)+~P20(x12021,f85(f85(f57(x12022),x12023),x12025),x12022)+P20(x12021,f85(f85(f57(x12022),x12023),x12024),x12022) % 1.50/1.53 [1324]~P1(x13245)+~P8(x13243,x13244)+P19(f85(x13241,x13242),f52(x13241,x13243,x13244,x13245),x13245)+~P83(f85(f85(f86(x13244),x13242),x13243)) % 1.50/1.53 [1395]~P36(x13955)+~P8(x13953,x13954)+E(f52(x13951,f78(x13952,x13953,x13954),x13954,x13955),f85(f85(f59(x13955),f85(x13951,x13952)),f52(x13951,x13953,x13954,x13955)))+P83(f85(f85(f86(x13954),x13952),x13953)) % 1.50/1.53 [1693]~P36(x16931)+~P8(x16935,x16932)+E(f52(f85(f6(f48(f7(f50(x16931),f85(f83(x16932),x16933),a2,f90(x16931,f90(x16931,x16931)),x16932),x16934,x16932,x16931,f90(x16931,x16931)),x16932,x16931,x16931),f54(x16931)),x16935,x16932,x16931),f54(x16931))+P83(f85(f85(f86(x16932),x16933),x16935)) % 1.50/1.53 [1694]~P36(x16941)+~P8(x16945,x16942)+E(f52(f85(f6(f48(f7(f50(x16941),f85(f83(x16942),x16943),a2,f90(x16941,f90(x16941,x16941)),x16942),x16944,x16942,x16941,f90(x16941,x16941)),x16942,x16941,x16941),f54(x16941)),x16945,x16942,x16941),f85(x16944,x16943))+~P83(f85(f85(f86(x16942),x16943),x16945)) % 1.50/1.53 [1696]~P36(x16961)+~P8(x16965,x16962)+E(f52(f85(f6(f48(f7(f50(x16961),f85(f6(f83(x16962),x16962,x16962,a2),x16963),a2,f90(x16961,f90(x16961,x16961)),x16962),x16964,x16962,x16961,f90(x16961,x16961)),x16962,x16961,x16961),f54(x16961)),x16965,x16962,x16961),f54(x16961))+P83(f85(f85(f86(x16962),x16963),x16965)) % 1.50/1.53 [1698]~P36(x16981)+~P8(x16985,x16982)+E(f52(f85(f6(f48(f7(f50(x16981),f85(f6(f83(x16982),x16982,x16982,a2),x16983),a2,f90(x16981,f90(x16981,x16981)),x16982),x16984,x16982,x16981,f90(x16981,x16981)),x16982,x16981,x16981),f54(x16981)),x16985,x16982,x16981),f85(x16984,x16983))+~P83(f85(f85(f86(x16982),x16983),x16985)) % 1.50/1.53 [1252]~P2(x12522)+~P8(x12525,x12521)+E(f85(f85(f51(x12521,x12522),x12523),f78(x12524,x12525,x12521)),f85(f85(f57(x12522),f85(x12523,x12524)),f85(f85(f51(x12521,x12522),x12523),x12525)))+P83(f85(f85(f86(x12521),x12524),x12525)) % 1.50/1.53 [1377]~P47(x13771)+~P20(x13773,x13775,x13771)+~P83(f85(f85(f53(x13771),x13772),x13774))+P83(f85(f85(f53(x13771),f85(f85(f57(x13771),x13772),x13773)),f85(f85(f57(x13771),x13774),x13775))) % 1.50/1.53 [1378]~P47(x13781)+~P20(x13782,x13784,x13781)+~P83(f85(f85(f53(x13781),x13783),x13785))+P83(f85(f85(f53(x13781),f85(f85(f57(x13781),x13782),x13783)),f85(f85(f57(x13781),x13784),x13785))) % 1.50/1.53 [1385]~P47(x13851)+~P83(f85(f85(f53(x13851),x13853),x13855))+~P83(f85(f85(f53(x13851),x13852),x13854))+P83(f85(f85(f53(x13851),f85(f85(f57(x13851),x13852),x13853)),f85(f85(f57(x13851),x13854),x13855))) % 1.50/1.53 [1484]~P62(x14842)+E(x14841,f4(x14842))+E(x14843,f4(x14842))+E(f85(f85(f56(x14842),f85(f85(f57(x14842),f85(f85(f59(x14842),x14844),x14841)),f85(f85(f59(x14842),x14845),x14843))),f85(f85(f59(x14842),x14843),x14841)),f85(f85(f57(x14842),f85(f85(f56(x14842),x14844),x14843)),f85(f85(f56(x14842),x14845),x14841))) % 1.50/1.53 [1485]~P62(x14852)+E(x14851,f4(x14852))+E(x14853,f4(x14852))+E(f85(f85(f56(x14852),f85(f85(f55(x14852),f85(f85(f59(x14852),x14854),x14851)),f85(f85(f59(x14852),x14855),x14853))),f85(f85(f59(x14852),x14853),x14851)),f85(f85(f55(x14852),f85(f85(f56(x14852),x14854),x14853)),f85(f85(f56(x14852),x14855),x14851))) % 1.50/1.53 [1493]~P2(x14931)+~P8(x14935,x14932)+~P8(x14934,x14932)+E(f85(f85(f57(x14931),f85(f85(f51(x14932,x14931),x14933),f62(x14934,x14935,f90(x14932,a2)))),f85(f85(f51(x14932,x14931),x14933),f61(x14934,x14935,f90(x14932,a2)))),f85(f85(f57(x14931),f85(f85(f51(x14932,x14931),x14933),x14934)),f85(f85(f51(x14932,x14931),x14933),x14935))) % 1.50/1.53 [1524]~P29(x15241)+~P8(x15245,x15242)+~P8(x15244,x15242)+E(f85(f85(f55(x15241),f85(f85(f57(x15241),f85(f85(f51(x15242,x15241),x15243),x15244)),f85(f85(f51(x15242,x15241),x15243),x15245))),f85(f85(f51(x15242,x15241),x15243),f61(x15244,x15245,f90(x15242,a2)))),f85(f85(f51(x15242,x15241),x15243),f62(x15244,x15245,f90(x15242,a2)))) % 1.50/1.53 [1549]~P9(x15495,x15494,x15491)+~E(f77(x15494,f78(x15492,f60(f90(x15491,a2)),x15491),x15491,x15491),f77(x15494,f78(x15493,f60(f90(x15491,a2)),x15491),x15491,x15491))+~P83(f85(f85(f86(x15491),x15493),x15495))+P83(f85(f85(f86(f91(x15491,x15491)),f69(x15492,x15493,x15491,x15491)),x15494)) % 1.50/1.53 [1554]~P36(x15541)+~P8(x15544,x15545)+~P8(x15543,x15545)+E(f85(f85(f59(x15541),f52(x15542,f62(x15543,x15544,f90(x15545,a2)),x15545,x15541)),f52(x15542,f61(x15543,x15544,f90(x15545,a2)),x15545,x15541)),f85(f85(f59(x15541),f52(x15542,x15543,x15545,x15541)),f52(x15542,x15544,x15545,x15541))) % 1.50/1.53 [1579]~P16(x15794,x15795)+P83(f85(x15791,x15792))+P83(f85(x15791,x15793))+~P83(f85(f85(f86(f91(x15795,x15795)),f69(x15792,f44(x15791,x15794,x15795),x15795,x15795)),x15794)) % 1.50/1.53 [1580]~P16(x15804,x15805)+P83(f85(x15801,x15802))+P83(f85(x15801,x15803))+~P83(f85(f85(f86(f91(x15805,x15805)),f69(x15802,f64(x15801,x15804,x15805),x15805,x15805)),x15804)) % 1.50/1.53 [1581]~P16(x15814,x15815)+P83(f85(x15811,x15812))+P83(f85(x15811,x15813))+~P83(f85(f85(f86(f91(x15815,x15815)),f69(x15812,f45(x15811,x15814,x15815),x15815,x15815)),x15814)) % 1.50/1.53 [1582]~P16(x15824,x15825)+P83(f85(x15821,x15822))+P83(f85(x15821,x15823))+~P83(f85(f85(f86(f91(x15825,x15825)),f69(x15822,f47(x15821,x15824,x15825),x15825,x15825)),x15824)) % 1.50/1.53 [1586]P83(f85(x15861,x15862))+P83(f85(x15861,x15863))+~P83(f85(f85(f86(x15864),x15863),f82(x15865,x15864)))+~P83(f85(f85(f86(f91(x15864,x15864)),f69(x15862,f13(x15861,x15865,x15864),x15864,x15864)),x15865)) % 1.50/1.53 [1587]P83(f85(x15871,x15872))+P83(f85(x15871,x15873))+~P83(f85(f85(f86(x15874),x15873),f82(x15875,x15874)))+~P83(f85(f85(f86(f91(x15874,x15874)),f69(x15872,f41(x15871,x15875,x15874),x15874,x15874)),x15875)) % 1.50/1.53 [1589]~P16(x15891,x15892)+~P83(f85(f85(f86(x15892),x15893),x15894))+~P83(f85(f85(f86(x15892),x15895),x15894))+~P83(f85(f85(f86(f91(x15892,x15892)),f69(x15895,f46(x15894,x15891,x15892),x15892,x15892)),x15891)) % 1.50/1.53 [1590]~P16(x15901,x15902)+~P83(f85(f85(f86(x15902),x15903),x15904))+~P83(f85(f85(f86(x15902),x15905),x15904))+~P83(f85(f85(f86(f91(x15902,x15902)),f69(x15905,f42(x15904,x15901,x15902),x15902,x15902)),x15901)) % 1.50/1.53 [1600]~P9(x16005,x16004,x16001)+~P20(f77(x16004,f78(x16003,f60(f90(x16001,a2)),x16001),x16001,x16001),f77(x16004,f78(x16002,f60(f90(x16001,a2)),x16001),x16001,x16001),f90(x16001,a2))+~P83(f85(f85(f86(x16001),x16003),x16005))+P83(f85(f85(f86(f91(x16001,x16001)),f69(x16002,x16003,x16001,x16001)),x16004)) % 1.50/1.53 [1633]~P58(x16331)+~P62(x16331)+~P8(x16335,x16333)+E(f52(f48(f7(f56(x16331),x16332,x16331,f90(x16331,x16331),x16333),x16334,x16333,x16331,x16331),x16335,x16333,x16331),f85(f85(f56(x16331),f52(x16332,x16335,x16333,x16331)),f52(x16334,x16335,x16333,x16331))) % 1.50/1.53 [1659]~P83(f85(x16591,x16594))+P83(f85(x16591,x16592))+~P83(f85(f85(f86(f91(x16593,x16593)),f69(x16592,x16594,x16593,x16593)),f75(x16595,x16593)))+P83(f85(f85(f86(f91(x16593,x16593)),f69(f30(x16591,x16594,x16595,x16593),f29(x16591,x16594,x16595,x16593),x16593,x16593)),x16595)) % 1.50/1.53 [1660]~P83(f85(x16601,x16604))+P83(f85(x16601,x16602))+~P83(f85(f85(f86(f91(x16603,x16603)),f69(x16604,x16602,x16603,x16603)),f75(x16605,x16603)))+P83(f85(f85(f86(f91(x16603,x16603)),f69(f33(x16601,x16604,x16605,x16603),f37(x16601,x16604,x16605,x16603),x16603,x16603)),x16605)) % 1.50/1.53 [1701]~P2(x17012)+~P8(x17015,x17011)+E(f85(f85(f51(x17011,x17012),f85(f6(f48(f7(f50(x17012),f85(f83(x17011),x17013),a2,f90(x17012,f90(x17012,x17012)),x17011),x17014,x17011,x17012,f90(x17012,x17012)),x17011,x17012,x17012),f4(x17012))),x17015),f4(x17012))+P83(f85(f85(f86(x17011),x17013),x17015)) % 1.50/1.53 [1702]~P2(x17022)+~P8(x17025,x17021)+E(f85(f85(f51(x17021,x17022),f85(f6(f48(f7(f50(x17022),f85(f83(x17021),x17023),a2,f90(x17022,f90(x17022,x17022)),x17021),x17024,x17021,x17022,f90(x17022,x17022)),x17021,x17022,x17022),f4(x17022))),x17025),f85(x17024,x17023))+~P83(f85(f85(f86(x17021),x17023),x17025)) % 1.50/1.53 [1707]~P2(x17072)+~P8(x17075,x17071)+E(f85(f85(f51(x17071,x17072),f85(f6(f48(f7(f50(x17072),f85(f6(f83(x17071),x17071,x17071,a2),x17073),a2,f90(x17072,f90(x17072,x17072)),x17071),x17074,x17071,x17072,f90(x17072,x17072)),x17071,x17072,x17072),f4(x17072))),x17075),f4(x17072))+P83(f85(f85(f86(x17071),x17073),x17075)) % 1.50/1.53 [1708]~P2(x17082)+~P8(x17085,x17081)+E(f85(f85(f51(x17081,x17082),f85(f6(f48(f7(f50(x17082),f85(f6(f83(x17081),x17081,x17081,a2),x17083),a2,f90(x17082,f90(x17082,x17082)),x17081),x17084,x17081,x17082,f90(x17082,x17082)),x17081,x17082,x17082),f4(x17082))),x17085),f85(x17084,x17083))+~P83(f85(f85(f86(x17081),x17083),x17085)) % 1.50/1.53 [1626]E(x16261,x16262)+~P13(x16263,x16264,x16265)+~P83(f85(f85(f86(f91(x16264,x16265)),f69(x16266,x16261,x16264,x16265)),x16263))+~P83(f85(f85(f86(f91(x16264,x16265)),f69(x16266,x16262,x16264,x16265)),x16263)) % 1.50/1.53 [1697]~P36(x16971)+~P8(x16976,x16972)+E(f52(f85(f6(f48(f7(f50(x16971),f85(f6(f83(x16972),x16972,x16972,a2),x16973),a2,f90(x16971,f90(x16971,x16971)),x16972),x16974,x16972,x16971,f90(x16971,x16971)),x16972,x16971,x16971),x16975),x16976,x16972,x16971),f71(x16975,f5(x16976,x16972),x16971))+P83(f85(f85(f86(x16972),x16973),x16976)) % 1.50/1.53 [1640]~P11(x16407,x16401,x16402,x16408,x16404,x16405)+~P9(x16406,x16407,x16408)+P10(x16401,f85(x16402,x16403),x16404,x16405)+~P83(f85(f85(f86(x16408),x16403),x16406)) % 1.50/1.53 [1669]~P11(x16696,x16697,x16691,x16698,x16699,x166910)+E(f85(f85(x16691,x16692),x16693),f85(f85(x16691,x16694),x16695))+~P83(f85(f85(f86(f91(x16698,x16698)),f69(x16692,x16694,x16698,x16698)),x16696))+~P83(f85(f85(f86(f91(x16699,x16699)),f69(x16693,x16695,x16699,x16699)),x16697)) % 1.50/1.53 [738]~P59(x7382)+~P48(x7382)+~P80(x7382)+~P60(x7382)+~E(f71(x7381,f4(a1),x7382),f4(x7382)) % 1.50/1.53 [1388]~P67(x13881)+~P58(x13881)+~P83(f85(f85(f53(x13881),f85(f85(f56(x13881),x13883),x13882)),f4(x13881)))+P83(f85(f85(f53(x13881),x13882),f4(x13881)))+P83(f85(f85(f53(x13881),x13883),f4(x13881))) % 1.50/1.53 [956]~P46(x9562)+~P20(f4(x9562),x9561,x9562)+~P20(f4(x9562),x9563,x9562)+E(x9561,f4(x9562))+~E(f85(f85(f57(x9562),x9563),x9561),f4(x9562)) % 1.50/1.53 [957]~P46(x9572)+~P20(f4(x9572),x9573,x9572)+~P20(f4(x9572),x9571,x9572)+E(x9571,f4(x9572))+~E(f85(f85(f57(x9572),x9571),x9573),f4(x9572)) % 1.50/1.53 [1062]~P67(x10621)+~P58(x10621)+~P20(x10623,f4(x10621),x10621)+~P20(x10622,f4(x10621),x10621)+P20(f4(x10621),f85(f85(f56(x10621),x10622),x10623),x10621) % 1.50/1.53 [1063]~P67(x10631)+~P58(x10631)+~P20(f4(x10631),x10633,x10631)+~P20(f4(x10631),x10632,x10631)+P20(f4(x10631),f85(f85(f56(x10631),x10632),x10633),x10631) % 1.50/1.53 [1064]~P67(x10641)+~P58(x10641)+~P20(x10643,f4(x10641),x10641)+~P20(f4(x10641),x10642,x10641)+P20(f85(f85(f56(x10641),x10642),x10643),f4(x10641),x10641) % 1.50/1.53 [1065]~P67(x10651)+~P58(x10651)+~P20(x10652,f4(x10651),x10651)+~P20(f4(x10651),x10653,x10651)+P20(f85(f85(f56(x10651),x10652),x10653),f4(x10651),x10651) % 1.50/1.53 [1089]~P67(x10892)+~P58(x10892)+P20(x10891,f4(x10892),x10892)+P20(x10893,f4(x10892),x10892)+~P20(f85(f85(f56(x10892),x10893),x10891),f4(x10892),x10892) % 1.50/1.53 [1090]~P67(x10902)+~P58(x10902)+P20(x10901,f4(x10902),x10902)+P20(f4(x10902),x10903,x10902)+~P20(f4(x10902),f85(f85(f56(x10902),x10903),x10901),x10902) % 1.50/1.53 [1091]~P67(x10912)+~P58(x10912)+P20(x10911,f4(x10912),x10912)+P20(f4(x10912),x10913,x10912)+~P20(f4(x10912),f85(f85(f56(x10912),x10911),x10913),x10912) % 1.50/1.53 [1092]~P67(x10922)+~P58(x10922)+P20(x10921,f4(x10922),x10922)+P20(f4(x10922),x10921,x10922)+~P20(f4(x10922),f85(f85(f56(x10922),x10923),x10921),x10922) % 1.50/1.53 [1093]~P67(x10932)+~P58(x10932)+P20(x10931,f4(x10932),x10932)+P20(f4(x10932),x10931,x10932)+~P20(f4(x10932),f85(f85(f56(x10932),x10931),x10933),x10932) % 1.50/1.53 [1094]~P67(x10942)+~P58(x10942)+P20(x10941,f4(x10942),x10942)+P20(f4(x10942),x10941,x10942)+~P20(f85(f85(f56(x10942),x10943),x10941),f4(x10942),x10942) % 1.50/1.53 [1095]~P67(x10952)+~P58(x10952)+P20(x10951,f4(x10952),x10952)+P20(f4(x10952),x10951,x10952)+~P20(f85(f85(f56(x10952),x10951),x10953),f4(x10952),x10952) % 1.50/1.53 [1096]~P67(x10961)+~P58(x10961)+P20(f4(x10961),x10962,x10961)+P20(f4(x10961),x10963,x10961)+~P20(f85(f85(f56(x10961),x10962),x10963),f4(x10961),x10961) % 1.50/1.53 [1161]~P66(x11611)+~P20(x11612,f54(x11611),x11611)+~P20(f4(x11611),x11613,x11611)+~P20(f4(x11611),x11612,x11611)+P20(f85(f85(f59(x11611),x11612),x11613),x11613,x11611) % 1.50/1.53 [1162]~P66(x11621)+~P20(x11623,f54(x11621),x11621)+~P20(f4(x11621),x11623,x11621)+~P20(f4(x11621),x11622,x11621)+P20(f85(f85(f59(x11621),x11622),x11623),x11622,x11621) % 1.50/1.53 [1396]~P67(x13961)+~P58(x13961)+~P83(f85(f85(f53(x13961),f85(f85(f56(x13961),x13963),x13962)),f4(x13961)))+P83(f85(f85(f53(x13961),x13962),f4(x13961)))+P83(f85(f85(f53(x13961),f4(x13961)),x13962)) % 1.50/1.53 [1397]~P67(x13971)+~P58(x13971)+~P83(f85(f85(f53(x13971),f85(f85(f56(x13971),x13972),x13973)),f4(x13971)))+P83(f85(f85(f53(x13971),x13972),f4(x13971)))+P83(f85(f85(f53(x13971),f4(x13971)),x13972)) % 1.50/1.53 [1405]~P67(x14051)+~P58(x14051)+~P83(f85(f85(f53(x14051),f85(f85(f56(x14051),x14052),x14053)),f4(x14051)))+P83(f85(f85(f53(x14051),f4(x14051)),x14052))+P83(f85(f85(f53(x14051),f4(x14051)),x14053)) % 1.50/1.53 [1328]~P67(x13281)+~P58(x13281)+P83(f85(f85(f53(x13281),x13282),f4(x13281)))+P83(f85(f85(f53(x13281),f4(x13281)),x13283))+~P83(f85(f85(f53(x13281),f4(x13281)),f85(f85(f56(x13281),x13283),x13282))) % 1.50/1.53 [1329]~P67(x13291)+~P58(x13291)+P83(f85(f85(f53(x13291),x13292),f4(x13291)))+P83(f85(f85(f53(x13291),f4(x13291)),x13293))+~P83(f85(f85(f53(x13291),f4(x13291)),f85(f85(f56(x13291),x13292),x13293))) % 1.50/1.53 [1330]~P67(x13301)+~P58(x13301)+P83(f85(f85(f53(x13301),x13302),f4(x13301)))+P83(f85(f85(f53(x13301),f4(x13301)),x13302))+~P83(f85(f85(f53(x13301),f4(x13301)),f85(f85(f56(x13301),x13303),x13302))) % 1.50/1.53 [1331]~P67(x13311)+~P58(x13311)+P83(f85(f85(f53(x13311),x13312),f4(x13311)))+P83(f85(f85(f53(x13311),f4(x13311)),x13312))+~P83(f85(f85(f53(x13311),f4(x13311)),f85(f85(f56(x13311),x13312),x13313))) % 1.50/1.53 [1227]~P56(x12273)+~P20(x12274,x12272,a1)+~P20(x12271,f54(x12273),x12273)+~P20(f4(x12273),x12271,x12273)+P20(f71(x12271,x12272,x12273),f71(x12271,x12274,x12273),x12273) % 1.50/1.53 [1371]~P1(x13714)+~P59(x13714)+~P8(x13712,x13713)+~E(f52(x13711,x13712,x13713,x13714),f4(x13714))+E(f85(x13711,f16(x13712,x13711,x13713,x13714)),f4(x13714)) % 1.50/1.53 [1032]~P2(x10322)+~P34(x10322)+~P20(x10321,x10324,x10322)+~P20(f4(x10322),x10323,x10322)+P20(x10321,f85(f85(f57(x10322),x10323),x10324),x10322) % 1.50/1.53 [1033]~P2(x10332)+~P34(x10332)+~P20(x10331,x10333,x10332)+~P20(f4(x10332),x10334,x10332)+P20(x10331,f85(f85(f57(x10332),x10333),x10334),x10332) % 1.50/1.53 [1167]~P67(x11671)+~P58(x11671)+~P20(x11674,x11672,x11671)+~P20(x11673,f4(x11671),x11671)+P20(f85(f85(f56(x11671),x11672),x11673),f85(f85(f56(x11671),x11674),x11673),x11671) % 1.50/1.53 [1168]~P67(x11681)+~P58(x11681)+~P20(x11682,x11684,x11681)+~P20(f4(x11681),x11683,x11681)+P20(f85(f85(f56(x11681),x11682),x11683),f85(f85(f56(x11681),x11684),x11683),x11681) % 1.50/1.53 [1259]~P67(x12592)+~P58(x12592)+~P20(f85(f85(f56(x12592),x12591),x12594),x12593,x12592)+P20(x12591,f85(f85(f59(x12592),x12593),x12594),x12592)+~P83(f85(f85(f53(x12592),f4(x12592)),x12594)) % 1.50/1.53 [1261]~P67(x12611)+~P58(x12611)+~P20(x12612,f85(f85(f56(x12611),x12614),x12613),x12611)+P20(f85(f85(f59(x12611),x12612),x12613),x12614,x12611)+~P83(f85(f85(f53(x12611),f4(x12611)),x12613)) % 1.50/1.53 [1418]~P56(x14181)+~P20(f4(x14181),x14182,x14181)+P83(f85(f85(f53(x14181),f71(x14182,x14183,x14181)),f71(x14184,x14183,x14181)))+~P83(f85(f85(f53(x14181),x14182),x14184))+~P83(f85(f85(f53(a1),f4(a1)),x14183)) % 1.50/1.53 [1432]~P56(x14321)+~P83(f85(f85(f53(x14321),x14322),f54(x14321)))+P83(f85(f85(f53(x14321),f71(x14322,x14323,x14321)),f71(x14322,x14324,x14321)))+~P83(f85(f85(f53(x14321),f4(x14321)),x14322))+~P83(f85(f85(f53(a1),x14324),x14323)) % 1.50/1.53 [1508]~P1(x15084)+~P59(x15084)+~P8(x15082,x15081)+~E(f52(x15083,x15082,x15081,x15084),f4(x15084))+P83(f85(f85(f86(x15081),f16(x15082,x15083,x15081,x15084)),x15082)) % 1.50/1.53 [1245]~P2(x12451)+~P34(x12451)+~P20(f4(x12451),x12453,x12451)+~P83(f85(f85(f53(x12451),x12452),x12454))+P83(f85(f85(f53(x12451),x12452),f85(f85(f57(x12451),x12453),x12454))) % 1.50/1.53 [1251]~P2(x12511)+~P34(x12511)+~P20(x12512,x12514,x12511)+~P83(f85(f85(f53(x12511),f4(x12511)),x12513))+P83(f85(f85(f53(x12511),x12512),f85(f85(f57(x12511),x12513),x12514))) % 1.50/1.53 [1376]~P67(x13761)+~P20(x13764,x13763,x13761)+~P20(f4(x13761),x13762,x13761)+P20(f85(f85(f56(x13761),x13762),x13763),f85(f85(f56(x13761),x13762),x13764),x13761)+~P83(f85(f85(f53(x13761),f4(x13761)),f85(f85(f59(x13761),x13763),x13764))) % 1.50/1.53 [1465]~P67(x14651)+~P83(f85(f85(f53(x14651),x14652),f4(x14651)))+~P83(f85(f85(f53(x14651),x14653),x14654))+~P83(f85(f85(f53(x14651),f4(x14651)),f85(f85(f59(x14651),x14653),x14654)))+P83(f85(f85(f53(x14651),f85(f85(f56(x14651),x14652),x14653)),f85(f85(f56(x14651),x14652),x14654))) % 1.50/1.53 [1466]~P67(x14661)+~P83(f85(f85(f53(x14661),x14664),x14663))+~P83(f85(f85(f53(x14661),f4(x14661)),x14662))+~P83(f85(f85(f53(x14661),f4(x14661)),f85(f85(f59(x14661),x14663),x14664)))+P83(f85(f85(f53(x14661),f85(f85(f56(x14661),x14662),x14663)),f85(f85(f56(x14661),x14662),x14664))) % 1.50/1.53 [1423]~P67(x14231)+~P58(x14231)+~P83(f85(f85(f53(x14231),f4(x14231)),x14233))+~P83(f85(f85(f53(x14231),x14232),f85(f85(f56(x14231),x14234),x14233)))+P83(f85(f85(f53(x14231),f85(f85(f59(x14231),x14232),x14233)),x14234)) % 1.50/1.53 [1439]~P67(x14391)+~P58(x14391)+~P83(f85(f85(f53(x14391),f4(x14391)),x14394))+P83(f85(f85(f53(x14391),x14392),f85(f85(f59(x14391),x14393),x14394)))+~P83(f85(f85(f53(x14391),f85(f85(f56(x14391),x14392),x14394)),x14393)) % 1.50/1.53 [1419]~P57(x14194)+~P36(x14194)+~P8(x14195,x14193)+P19(f52(x14191,x14192,x14193,x14194),f52(x14191,x14195,x14193,x14194),x14194)+~P20(x14192,x14195,f90(x14193,a2)) % 1.50/1.53 [1654]~P13(x16544,x16541,x16541)+P83(f85(f85(f86(f91(x16541,x16541)),f69(x16542,x16543,x16541,x16541)),f75(x16544,x16541)))+P83(f85(f85(f86(f91(x16541,x16541)),f69(x16543,x16542,x16541,x16541)),f75(x16544,x16541)))+~P83(f85(f85(f86(f91(x16541,x16541)),f69(x16545,x16543,x16541,x16541)),f75(x16544,x16541)))+~P83(f85(f85(f86(f91(x16541,x16541)),f69(x16545,x16542,x16541,x16541)),f75(x16544,x16541))) % 1.50/1.53 [952]~P62(x9522)+E(x9521,f4(x9522))+E(x9523,f4(x9522))+~E(f85(f85(f59(x9522),x9524),x9523),f85(f85(f59(x9522),x9525),x9521))+E(f85(f85(f56(x9522),x9524),x9521),f85(f85(f56(x9522),x9525),x9523)) % 1.50/1.53 [953]~P62(x9532)+E(x9531,f4(x9532))+E(x9533,f4(x9532))+~E(f85(f85(f56(x9532),x9534),x9533),f85(f85(f56(x9532),x9535),x9531))+E(f85(f85(f59(x9532),x9534),x9531),f85(f85(f59(x9532),x9535),x9533)) % 1.50/1.53 [1192]~P1(x11924)+~P8(x11922,x11923)+E(f52(x11921,x11922,x11923,x11924),f4(x11924))+~E(f85(x11921,x11925),f4(x11924))+~P83(f85(f85(f86(x11923),x11925),x11922)) % 1.50/1.53 [1492]~P36(x14921)+~P8(x14925,x14924)+~P8(x14923,x14924)+~E(f61(x14923,x14925,f90(x14924,a2)),f60(f90(x14924,a2)))+E(f85(f85(f59(x14921),f52(x14922,x14923,x14924,x14921)),f52(x14922,x14925,x14924,x14921)),f52(x14922,f62(x14923,x14925,f90(x14924,a2)),x14924,x14921)) % 1.50/1.53 [1205]~P63(x12054)+~P22(x12054)+E(x12051,x12052)+E(x12053,f4(x12054))+~E(f85(f85(f57(x12054),x12055),f85(f85(f59(x12054),x12053),x12051)),f85(f85(f57(x12054),x12055),f85(f85(f59(x12054),x12053),x12052))) % 1.50/1.53 [1383]~P2(x13831)+~P8(x13835,x13832)+~P8(x13834,x13832)+~E(f61(x13834,x13835,f90(x13832,a2)),f60(f90(x13832,a2)))+E(f85(f85(f57(x13831),f85(f85(f51(x13832,x13831),x13833),x13834)),f85(f85(f51(x13832,x13831),x13833),x13835)),f85(f85(f51(x13832,x13831),x13833),f62(x13834,x13835,f90(x13832,a2)))) % 1.50/1.53 [1415]~P63(x14155)+~P22(x14155)+E(x14151,x14152)+E(x14153,x14154)+~E(f85(f85(f57(x14155),f85(f85(f59(x14155),x14153),x14151)),f85(f85(f59(x14155),x14154),x14152)),f85(f85(f57(x14155),f85(f85(f59(x14155),x14153),x14152)),f85(f85(f59(x14155),x14154),x14151))) % 1.50/1.53 [1472]~P57(x14722)+~P55(x14722)+~P19(x14721,x14725,x14722)+~P19(x14721,f85(f85(f57(x14722),x14723),x14726),x14722)+P19(x14721,f85(f85(f57(x14722),f85(f85(f55(x14722),x14723),f85(f85(f59(x14722),x14724),x14725))),x14726),x14722) % 1.50/1.53 [1502]~P57(x15022)+~P55(x15022)+~P19(x15021,x15025,x15022)+P19(x15021,f85(f85(f57(x15022),x15023),x15024),x15022)+~P19(x15021,f85(f85(f57(x15022),f85(f85(f55(x15022),x15023),f85(f85(f59(x15022),x15026),x15025))),x15024),x15022) % 1.50/1.53 [696]~P59(x6962)+~P48(x6962)+~P80(x6962)+~P60(x6962)+E(x6961,f4(a1))+E(f71(f4(x6962),x6961,x6962),f4(x6962)) % 1.50/1.53 [739]~P59(x7392)+~P48(x7392)+~P80(x7392)+~P60(x7392)+~E(f71(x7391,x7393,x7392),f4(x7392))+E(x7391,f4(x7392)) % 1.50/1.53 [1207]~P67(x12071)+~P58(x12071)+~P20(x12073,f4(x12071),x12071)+P20(x12073,f85(f85(f56(x12071),x12074),x12072),x12071)+P83(f85(f85(f53(x12071),x12072),f4(x12071)))+P83(f85(f85(f53(x12071),f4(x12071)),x12072)) % 1.50/1.53 [1208]~P67(x12081)+~P58(x12081)+~P20(f4(x12081),x12084,x12081)+P20(f85(f85(f56(x12081),x12083),x12082),x12084,x12081)+P83(f85(f85(f53(x12081),x12082),f4(x12081)))+P83(f85(f85(f53(x12081),f4(x12081)),x12082)) % 1.50/1.53 [1222]~P56(x12224)+E(x12221,x12222)+~P20(f4(x12224),x12222,x12224)+~P20(f4(x12224),x12221,x12224)+~E(f71(x12221,x12223,x12224),f71(x12222,x12223,x12224))+~P83(f85(f85(f53(a1),f4(a1)),x12223)) % 1.50/1.53 [1236]~P67(x12362)+~P58(x12362)+P20(x12361,f4(x12362),x12362)+~P20(x12361,f85(f85(f56(x12362),x12364),x12363),x12362)+P83(f85(f85(f53(x12362),x12363),f4(x12362)))+P83(f85(f85(f53(x12362),f4(x12362)),x12363)) % 1.50/1.53 [1237]~P67(x12371)+~P58(x12371)+P20(f4(x12371),x12372,x12371)+~P20(f85(f85(f56(x12371),x12374),x12373),x12372,x12371)+P83(f85(f85(f53(x12371),x12373),f4(x12371)))+P83(f85(f85(f53(x12371),f4(x12371)),x12373)) % 1.50/1.53 [1267]~P67(x12671)+~P58(x12671)+~P20(x12673,f4(x12671),x12671)+~P20(f85(f85(f59(x12671),x12673),x12672),x12674,x12671)+P20(x12673,f85(f85(f56(x12671),x12674),x12672),x12671)+P83(f85(f85(f53(x12671),x12672),f4(x12671))) % 1.50/1.53 [1268]~P67(x12681)+~P58(x12681)+~P20(f4(x12681),x12684,x12681)+~P20(x12683,f85(f85(f59(x12681),x12684),x12682),x12681)+P20(f85(f85(f56(x12681),x12683),x12682),x12684,x12681)+P83(f85(f85(f53(x12681),x12682),f4(x12681))) % 1.50/1.53 [1273]~P67(x12731)+~P58(x12731)+~P20(x12733,f4(x12731),x12731)+~P20(x12734,f85(f85(f59(x12731),x12733),x12732),x12731)+P20(x12733,f85(f85(f56(x12731),x12734),x12732),x12731)+P83(f85(f85(f53(x12731),f4(x12731)),x12732)) % 1.50/1.53 [1274]~P67(x12741)+~P58(x12741)+~P20(f4(x12741),x12744,x12741)+~P20(f85(f85(f59(x12741),x12744),x12742),x12743,x12741)+P20(f85(f85(f56(x12741),x12743),x12742),x12744,x12741)+P83(f85(f85(f53(x12741),f4(x12741)),x12742)) % 1.50/1.53 [1305]~P67(x13051)+~P58(x13051)+~P20(x13054,f85(f85(f59(x13051),x13053),x13052),x13051)+P20(x13053,f85(f85(f56(x13051),x13054),x13052),x13051)+~P83(f85(f85(f53(x13051),x13052),f4(x13051)))+P83(f85(f85(f53(x13051),f4(x13051)),x13052)) % 1.50/1.53 [1306]~P67(x13061)+~P58(x13061)+~P20(x13064,f85(f85(f56(x13061),x13063),x13062),x13061)+P20(x13063,f85(f85(f59(x13061),x13064),x13062),x13061)+~P83(f85(f85(f53(x13061),x13062),f4(x13061)))+P83(f85(f85(f53(x13061),f4(x13061)),x13062)) % 1.50/1.53 [1307]~P67(x13071)+~P58(x13071)+~P20(f85(f85(f59(x13071),x13074),x13072),x13073,x13071)+P20(f85(f85(f56(x13071),x13073),x13072),x13074,x13071)+~P83(f85(f85(f53(x13071),x13072),f4(x13071)))+P83(f85(f85(f53(x13071),f4(x13071)),x13072)) % 1.50/1.53 [1308]~P67(x13081)+~P58(x13081)+~P20(f85(f85(f56(x13081),x13084),x13082),x13083,x13081)+P20(f85(f85(f59(x13081),x13083),x13082),x13084,x13081)+~P83(f85(f85(f53(x13081),x13082),f4(x13081)))+P83(f85(f85(f53(x13081),f4(x13081)),x13082)) % 1.50/1.53 [1320]~P67(x13202)+~P58(x13202)+~P20(x13201,f4(x13202),x13202)+~P20(x13203,f85(f85(f59(x13202),x13201),x13204),x13202)+~P20(f85(f85(f59(x13202),x13201),x13204),x13203,x13202)+P20(x13201,f85(f85(f56(x13202),x13203),x13204),x13202) % 1.50/1.53 [1321]~P67(x13211)+~P58(x13211)+~P20(f4(x13211),x13214,x13211)+~P20(x13212,f85(f85(f59(x13211),x13214),x13213),x13211)+~P20(f85(f85(f59(x13211),x13214),x13213),x13212,x13211)+P20(f85(f85(f56(x13211),x13212),x13213),x13214,x13211) % 1.50/1.53 [1344]~P67(x13442)+~P58(x13442)+~P20(x13443,f85(f85(f59(x13442),x13441),x13444),x13442)+~P20(f85(f85(f59(x13442),x13441),x13444),x13443,x13442)+P20(x13441,f85(f85(f56(x13442),x13443),x13444),x13442)+~P83(f85(f85(f53(x13442),x13444),f4(x13442))) % 1.50/1.53 [1345]~P67(x13451)+~P58(x13451)+~P20(x13452,f85(f85(f59(x13451),x13454),x13453),x13451)+~P20(f85(f85(f59(x13451),x13454),x13453),x13452,x13451)+P20(f85(f85(f56(x13451),x13452),x13453),x13454,x13451)+~P83(f85(f85(f53(x13451),x13453),f4(x13451))) % 1.50/1.53 [1323]~P67(x13231)+~P58(x13231)+P83(f85(f85(f53(x13231),x13232),f4(x13231)))+~P83(f85(f85(f53(x13231),x13233),f4(x13231)))+P83(f85(f85(f53(x13231),f4(x13231)),x13232))+P83(f85(f85(f53(x13231),x13233),f85(f85(f56(x13231),x13234),x13232))) % 1.50/1.53 [1352]~P67(x13521)+~P58(x13521)+P83(f85(f85(f53(x13521),x13522),f4(x13521)))+P83(f85(f85(f53(x13521),x13523),f4(x13521)))+P83(f85(f85(f53(x13521),f4(x13521)),x13522))+~P83(f85(f85(f53(x13521),x13523),f85(f85(f56(x13521),x13524),x13522))) % 1.50/1.53 [1379]~P67(x13791)+~P58(x13791)+~P20(x13793,x13794,x13791)+~P20(x13792,f4(x13791),x13791)+P20(f85(f85(f56(x13791),x13792),x13793),f85(f85(f56(x13791),x13792),x13794),x13791)+~P83(f85(f85(f53(x13791),f4(x13791)),f85(f85(f59(x13791),x13793),x13794))) % 1.50/1.53 [1410]~P67(x14101)+~P58(x14101)+~P83(f85(f85(f53(x14101),x14102),f4(x14101)))+P83(f85(f85(f53(x14101),f4(x14101)),x14102))+~P83(f85(f85(f53(x14101),x14104),f85(f85(f59(x14101),x14103),x14102)))+P83(f85(f85(f53(x14101),x14103),f85(f85(f56(x14101),x14104),x14102))) % 1.50/1.53 [1411]~P67(x14111)+~P58(x14111)+~P83(f85(f85(f53(x14111),x14113),f4(x14111)))+P83(f85(f85(f53(x14111),f4(x14111)),x14112))+~P83(f85(f85(f53(x14111),x14114),f85(f85(f59(x14111),x14113),x14112)))+P83(f85(f85(f53(x14111),x14113),f85(f85(f56(x14111),x14114),x14112))) % 1.50/1.53 [1412]~P67(x14121)+~P58(x14121)+~P83(f85(f85(f53(x14121),x14122),f4(x14121)))+P83(f85(f85(f53(x14121),f4(x14121)),x14122))+~P83(f85(f85(f53(x14121),x14124),f85(f85(f56(x14121),x14123),x14122)))+P83(f85(f85(f53(x14121),x14123),f85(f85(f59(x14121),x14124),x14122))) % 1.50/1.53 [1380]~P67(x13801)+~P58(x13801)+P83(f85(f85(f53(x13801),x13802),f4(x13801)))+P83(f85(f85(f53(x13801),f4(x13801)),x13802))+~P83(f85(f85(f53(x13801),f4(x13801)),x13804))+P83(f85(f85(f53(x13801),f85(f85(f56(x13801),x13803),x13802)),x13804)) % 1.50/1.53 [1420]~P67(x14201)+~P58(x14201)+P83(f85(f85(f53(x14201),x14202),f4(x14201)))+P83(f85(f85(f53(x14201),f4(x14201)),x14202))+P83(f85(f85(f53(x14201),f4(x14201)),x14203))+~P83(f85(f85(f53(x14201),f85(f85(f56(x14201),x14204),x14202)),x14203)) % 1.50/1.53 [1440]~P67(x14401)+~P58(x14401)+P83(f85(f85(f53(x14401),x14402),f4(x14401)))+~P83(f85(f85(f53(x14401),f4(x14401)),x14404))+~P83(f85(f85(f53(x14401),x14403),f85(f85(f59(x14401),x14404),x14402)))+P83(f85(f85(f53(x14401),f85(f85(f56(x14401),x14403),x14402)),x14404)) % 1.50/1.53 [1459]~P67(x14591)+~P58(x14591)+P83(f85(f85(f53(x14591),x14592),f4(x14591)))+~P83(f85(f85(f53(x14591),x14593),f4(x14591)))+P83(f85(f85(f53(x14591),x14593),f85(f85(f56(x14591),x14594),x14592)))+~P83(f85(f85(f53(x14591),f85(f85(f59(x14591),x14593),x14592)),x14594)) % 1.50/1.53 [1467]~P67(x14671)+~P58(x14671)+~P83(f85(f85(f53(x14671),x14672),f4(x14671)))+P83(f85(f85(f53(x14671),f4(x14671)),x14672))+~P83(f85(f85(f53(x14671),f85(f85(f59(x14671),x14674),x14672)),x14673))+P83(f85(f85(f53(x14671),f85(f85(f56(x14671),x14673),x14672)),x14674)) % 1.50/1.53 [1468]~P67(x14681)+~P58(x14681)+~P83(f85(f85(f53(x14681),x14682),f4(x14681)))+P83(f85(f85(f53(x14681),f4(x14681)),x14682))+~P83(f85(f85(f53(x14681),f85(f85(f56(x14681),x14684),x14682)),x14683))+P83(f85(f85(f53(x14681),f85(f85(f59(x14681),x14683),x14682)),x14684)) % 1.50/1.53 [1469]~P67(x14691)+~P58(x14691)+~P83(f85(f85(f53(x14691),f4(x14691)),x14694))+P83(f85(f85(f53(x14691),f4(x14691)),x14692))+~P83(f85(f85(f53(x14691),f85(f85(f59(x14691),x14694),x14692)),x14693))+P83(f85(f85(f53(x14691),f85(f85(f56(x14691),x14693),x14692)),x14694)) % 1.50/1.53 [1474]~P67(x14741)+~P58(x14741)+~P83(f85(f85(f53(x14741),x14744),f4(x14741)))+~P83(f85(f85(f53(x14741),x14743),f85(f85(f59(x14741),x14742),x14744)))+P83(f85(f85(f53(x14741),x14742),f85(f85(f56(x14741),x14743),x14744)))+~P83(f85(f85(f53(x14741),f85(f85(f59(x14741),x14742),x14744)),x14743)) % 1.50/1.53 [1475]~P67(x14751)+~P58(x14751)+~P83(f85(f85(f53(x14751),x14752),f4(x14751)))+~P83(f85(f85(f53(x14751),x14753),f85(f85(f59(x14751),x14752),x14754)))+P83(f85(f85(f53(x14751),x14752),f85(f85(f56(x14751),x14753),x14754)))+~P83(f85(f85(f53(x14751),f85(f85(f59(x14751),x14752),x14754)),x14753)) % 1.50/1.53 [1489]~P67(x14891)+~P58(x14891)+~P83(f85(f85(f53(x14891),x14893),f4(x14891)))+~P83(f85(f85(f53(x14891),x14892),f85(f85(f59(x14891),x14894),x14893)))+~P83(f85(f85(f53(x14891),f85(f85(f59(x14891),x14894),x14893)),x14892))+P83(f85(f85(f53(x14891),f85(f85(f56(x14891),x14892),x14893)),x14894)) % 1.50/1.53 [1490]~P67(x14901)+~P58(x14901)+~P83(f85(f85(f53(x14901),f4(x14901)),x14904))+~P83(f85(f85(f53(x14901),x14902),f85(f85(f59(x14901),x14904),x14903)))+~P83(f85(f85(f53(x14901),f85(f85(f59(x14901),x14904),x14903)),x14902))+P83(f85(f85(f53(x14901),f85(f85(f56(x14901),x14902),x14903)),x14904)) % 1.50/1.53 [1265]~P74(x12651)+~P20(x12653,x12655,x12651)+~P20(x12652,x12654,x12651)+~P20(f4(x12651),x12654,x12651)+~P20(f4(x12651),x12653,x12651)+P20(f85(f85(f59(x12651),x12652),x12653),f85(f85(f59(x12651),x12654),x12655),x12651) % 1.50/1.53 [1266]~P74(x12661)+~P20(x12663,x12665,x12661)+~P20(x12662,x12664,x12661)+~P20(f4(x12661),x12663,x12661)+~P20(f4(x12661),x12662,x12661)+P20(f85(f85(f59(x12661),x12662),x12663),f85(f85(f59(x12661),x12664),x12665),x12661) % 1.50/1.53 [1309]~P67(x13091)+~P20(x13095,x13093,x13091)+~P20(x13092,x13094,x13091)+~P20(f4(x13091),x13092,x13091)+P20(f85(f85(f56(x13091),x13092),x13093),f85(f85(f56(x13091),x13094),x13095),x13091)+~P83(f85(f85(f53(x13091),f4(x13091)),x13095)) % 1.50/1.53 [1578]E(x15781,x15782)+~P17(x15785,x15784,x15783)+~P83(f85(f85(f86(x15783),x15782),x15785))+~P83(f85(f85(f86(x15783),x15781),x15785))+P83(f85(f85(f86(f91(x15783,x15783)),f69(x15781,x15782,x15783,x15783)),x15784))+P83(f85(f85(f86(f91(x15783,x15783)),f69(x15782,x15781,x15783,x15783)),x15784)) % 1.50/1.53 [1428]~P69(x14281)+~P20(f4(x14281),x14283,x14281)+~P20(f4(x14281),x14282,x14281)+~P83(f85(f85(f53(x14281),x14283),x14285))+~P83(f85(f85(f53(x14281),x14282),x14284))+P83(f85(f85(f53(x14281),f85(f85(f59(x14281),x14282),x14283)),f85(f85(f59(x14281),x14284),x14285))) % 1.50/1.53 [1429]~P67(x14291)+~P20(x14295,x14293,x14291)+~P20(f4(x14291),x14292,x14291)+~P83(f85(f85(f53(x14291),x14292),x14294))+~P83(f85(f85(f53(x14291),f4(x14291)),x14295))+P83(f85(f85(f53(x14291),f85(f85(f56(x14291),x14292),x14293)),f85(f85(f56(x14291),x14294),x14295))) % 1.50/1.53 [1430]~P69(x14301)+~P20(x14303,x14305,x14301)+~P20(f4(x14301),x14302,x14301)+~P83(f85(f85(f53(x14301),x14302),x14304))+~P83(f85(f85(f53(x14301),f4(x14301)),x14303))+P83(f85(f85(f53(x14301),f85(f85(f59(x14301),x14302),x14303)),f85(f85(f59(x14301),x14304),x14305))) % 1.50/1.53 [1431]~P69(x14311)+~P20(x14312,x14314,x14311)+~P20(f4(x14311),x14313,x14311)+~P83(f85(f85(f53(x14311),x14313),x14315))+~P83(f85(f85(f53(x14311),f4(x14311)),x14312))+P83(f85(f85(f53(x14311),f85(f85(f59(x14311),x14312),x14313)),f85(f85(f59(x14311),x14314),x14315))) % 1.50/1.53 [1445]~P69(x14451)+~P20(f4(x14451),x14453,x14451)+~P83(f85(f85(f53(x14451),x14453),x14455))+~P83(f85(f85(f53(x14451),x14452),x14454))+~P83(f85(f85(f53(x14451),f4(x14451)),x14454))+P83(f85(f85(f53(x14451),f85(f85(f59(x14451),x14452),x14453)),f85(f85(f59(x14451),x14454),x14455))) % 1.50/1.53 [1453]~P67(x14531)+~P20(x14532,x14534,x14531)+~P83(f85(f85(f53(x14531),x14535),x14533))+~P83(f85(f85(f53(x14531),f4(x14531)),x14535))+~P83(f85(f85(f53(x14531),f4(x14531)),x14532))+P83(f85(f85(f53(x14531),f85(f85(f56(x14531),x14532),x14533)),f85(f85(f56(x14531),x14534),x14535))) % 1.50/1.53 %EqnAxiom % 1.50/1.53 [1]E(x11,x11) % 1.50/1.53 [2]E(x22,x21)+~E(x21,x22) % 1.50/1.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.50/1.53 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 1.50/1.53 [5]~E(x51,x52)+E(f85(x51,x53),f85(x52,x53)) % 1.50/1.53 [6]~E(x61,x62)+E(f85(x63,x61),f85(x63,x62)) % 1.50/1.53 [7]~E(x71,x72)+E(f73(x71,x73),f73(x72,x73)) % 1.50/1.53 [8]~E(x81,x82)+E(f73(x83,x81),f73(x83,x82)) % 1.50/1.53 [9]~E(x91,x92)+E(f74(x91,x93),f74(x92,x93)) % 1.50/1.53 [10]~E(x101,x102)+E(f74(x103,x101),f74(x103,x102)) % 1.50/1.53 [11]~E(x111,x112)+E(f4(x111),f4(x112)) % 1.50/1.53 [12]~E(x121,x122)+E(f75(x121,x123),f75(x122,x123)) % 1.50/1.53 [13]~E(x131,x132)+E(f75(x133,x131),f75(x133,x132)) % 1.50/1.53 [14]~E(x141,x142)+E(f53(x141),f53(x142)) % 1.50/1.53 [15]~E(x151,x152)+E(f57(x151),f57(x152)) % 1.50/1.53 [16]~E(x161,x162)+E(f59(x161),f59(x162)) % 1.50/1.53 [17]~E(x171,x172)+E(f60(x171),f60(x172)) % 1.50/1.53 [18]~E(x181,x182)+E(f90(x181,x183),f90(x182,x183)) % 1.50/1.53 [19]~E(x191,x192)+E(f90(x193,x191),f90(x193,x192)) % 1.50/1.53 [20]~E(x201,x202)+E(f94(x201),f94(x202)) % 1.50/1.53 [21]~E(x211,x212)+E(f48(x211,x213,x214,x215,x216),f48(x212,x213,x214,x215,x216)) % 1.50/1.53 [22]~E(x221,x222)+E(f48(x223,x221,x224,x225,x226),f48(x223,x222,x224,x225,x226)) % 1.50/1.53 [23]~E(x231,x232)+E(f48(x233,x234,x231,x235,x236),f48(x233,x234,x232,x235,x236)) % 1.50/1.53 [24]~E(x241,x242)+E(f48(x243,x244,x245,x241,x246),f48(x243,x244,x245,x242,x246)) % 1.50/1.53 [25]~E(x251,x252)+E(f48(x253,x254,x255,x256,x251),f48(x253,x254,x255,x256,x252)) % 1.50/1.53 [26]~E(x261,x262)+E(f76(x261,x263,x264),f76(x262,x263,x264)) % 1.50/1.53 [27]~E(x271,x272)+E(f76(x273,x271,x274),f76(x273,x272,x274)) % 1.50/1.53 [28]~E(x281,x282)+E(f76(x283,x284,x281),f76(x283,x284,x282)) % 1.50/1.53 [29]~E(x291,x292)+E(f91(x291,x293),f91(x292,x293)) % 1.50/1.53 [30]~E(x301,x302)+E(f91(x303,x301),f91(x303,x302)) % 1.50/1.53 [31]~E(x311,x312)+E(f86(x311),f86(x312)) % 1.50/1.53 [32]~E(x321,x322)+E(f5(x321,x323),f5(x322,x323)) % 1.50/1.53 [33]~E(x331,x332)+E(f5(x333,x331),f5(x333,x332)) % 1.50/1.53 [34]~E(x341,x342)+E(f69(x341,x343,x344,x345),f69(x342,x343,x344,x345)) % 1.50/1.53 [35]~E(x351,x352)+E(f69(x353,x351,x354,x355),f69(x353,x352,x354,x355)) % 1.50/1.53 [36]~E(x361,x362)+E(f69(x363,x364,x361,x365),f69(x363,x364,x362,x365)) % 1.50/1.53 [37]~E(x371,x372)+E(f69(x373,x374,x375,x371),f69(x373,x374,x375,x372)) % 1.50/1.53 [38]~E(x381,x382)+E(f16(x381,x383,x384,x385),f16(x382,x383,x384,x385)) % 1.50/1.53 [39]~E(x391,x392)+E(f16(x393,x391,x394,x395),f16(x393,x392,x394,x395)) % 1.50/1.53 [40]~E(x401,x402)+E(f16(x403,x404,x401,x405),f16(x403,x404,x402,x405)) % 1.50/1.53 [41]~E(x411,x412)+E(f16(x413,x414,x415,x411),f16(x413,x414,x415,x412)) % 1.50/1.53 [42]~E(x421,x422)+E(f49(x421),f49(x422)) % 1.50/1.53 [43]~E(x431,x432)+E(f71(x431,x433,x434),f71(x432,x433,x434)) % 1.50/1.53 [44]~E(x441,x442)+E(f71(x443,x441,x444),f71(x443,x442,x444)) % 1.50/1.53 [45]~E(x451,x452)+E(f71(x453,x454,x451),f71(x453,x454,x452)) % 1.50/1.53 [46]~E(x461,x462)+E(f54(x461),f54(x462)) % 1.50/1.53 [47]~E(x471,x472)+E(f78(x471,x473,x474),f78(x472,x473,x474)) % 1.50/1.53 [48]~E(x481,x482)+E(f78(x483,x481,x484),f78(x483,x482,x484)) % 1.50/1.53 [49]~E(x491,x492)+E(f78(x493,x494,x491),f78(x493,x494,x492)) % 1.50/1.53 [50]~E(x501,x502)+E(f56(x501),f56(x502)) % 1.50/1.53 [51]~E(x511,x512)+E(f61(x511,x513,x514),f61(x512,x513,x514)) % 1.50/1.53 [52]~E(x521,x522)+E(f61(x523,x521,x524),f61(x523,x522,x524)) % 1.50/1.53 [53]~E(x531,x532)+E(f61(x533,x534,x531),f61(x533,x534,x532)) % 1.50/1.53 [54]~E(x541,x542)+E(f83(x541),f83(x542)) % 1.50/1.53 [55]~E(x551,x552)+E(f62(x551,x553,x554),f62(x552,x553,x554)) % 1.50/1.53 [56]~E(x561,x562)+E(f62(x563,x561,x564),f62(x563,x562,x564)) % 1.50/1.53 [57]~E(x571,x572)+E(f62(x573,x574,x571),f62(x573,x574,x572)) % 1.50/1.53 [58]~E(x581,x582)+E(f80(x581,x583,x584,x585,x586),f80(x582,x583,x584,x585,x586)) % 1.50/1.53 [59]~E(x591,x592)+E(f80(x593,x591,x594,x595,x596),f80(x593,x592,x594,x595,x596)) % 1.50/1.53 [60]~E(x601,x602)+E(f80(x603,x604,x601,x605,x606),f80(x603,x604,x602,x605,x606)) % 1.50/1.53 [61]~E(x611,x612)+E(f80(x613,x614,x615,x611,x616),f80(x613,x614,x615,x612,x616)) % 1.50/1.53 [62]~E(x621,x622)+E(f80(x623,x624,x625,x626,x621),f80(x623,x624,x625,x626,x622)) % 1.50/1.53 [63]~E(x631,x632)+E(f7(x631,x633,x634,x635,x636),f7(x632,x633,x634,x635,x636)) % 1.50/1.53 [64]~E(x641,x642)+E(f7(x643,x641,x644,x645,x646),f7(x643,x642,x644,x645,x646)) % 1.50/1.53 [65]~E(x651,x652)+E(f7(x653,x654,x651,x655,x656),f7(x653,x654,x652,x655,x656)) % 1.50/1.53 [66]~E(x661,x662)+E(f7(x663,x664,x665,x661,x666),f7(x663,x664,x665,x662,x666)) % 1.50/1.53 [67]~E(x671,x672)+E(f7(x673,x674,x675,x676,x671),f7(x673,x674,x675,x676,x672)) % 1.50/1.53 [68]~E(x681,x682)+E(f72(x681,x683,x684,x685,x686),f72(x682,x683,x684,x685,x686)) % 1.50/1.53 [69]~E(x691,x692)+E(f72(x693,x691,x694,x695,x696),f72(x693,x692,x694,x695,x696)) % 1.50/1.53 [70]~E(x701,x702)+E(f72(x703,x704,x701,x705,x706),f72(x703,x704,x702,x705,x706)) % 1.50/1.53 [71]~E(x711,x712)+E(f72(x713,x714,x715,x711,x716),f72(x713,x714,x715,x712,x716)) % 1.50/1.53 [72]~E(x721,x722)+E(f72(x723,x724,x725,x726,x721),f72(x723,x724,x725,x726,x722)) % 1.50/1.53 [73]~E(x731,x732)+E(f67(x731,x733,x734),f67(x732,x733,x734)) % 1.50/1.53 [74]~E(x741,x742)+E(f67(x743,x741,x744),f67(x743,x742,x744)) % 1.50/1.53 [75]~E(x751,x752)+E(f67(x753,x754,x751),f67(x753,x754,x752)) % 1.50/1.53 [76]~E(x761,x762)+E(f77(x761,x763,x764,x765),f77(x762,x763,x764,x765)) % 1.50/1.53 [77]~E(x771,x772)+E(f77(x773,x771,x774,x775),f77(x773,x772,x774,x775)) % 1.50/1.53 [78]~E(x781,x782)+E(f77(x783,x784,x781,x785),f77(x783,x784,x782,x785)) % 1.50/1.53 [79]~E(x791,x792)+E(f77(x793,x794,x795,x791),f77(x793,x794,x795,x792)) % 1.50/1.53 [80]~E(x801,x802)+E(f84(x801,x803,x804),f84(x802,x803,x804)) % 1.50/1.53 [81]~E(x811,x812)+E(f84(x813,x811,x814),f84(x813,x812,x814)) % 1.50/1.53 [82]~E(x821,x822)+E(f84(x823,x824,x821),f84(x823,x824,x822)) % 1.50/1.53 [83]~E(x831,x832)+E(f6(x831,x833,x834,x835),f6(x832,x833,x834,x835)) % 1.50/1.53 [84]~E(x841,x842)+E(f6(x843,x841,x844,x845),f6(x843,x842,x844,x845)) % 1.50/1.53 [85]~E(x851,x852)+E(f6(x853,x854,x851,x855),f6(x853,x854,x852,x855)) % 1.50/1.53 [86]~E(x861,x862)+E(f6(x863,x864,x865,x861),f6(x863,x864,x865,x862)) % 1.50/1.53 [87]~E(x871,x872)+E(f68(x871),f68(x872)) % 1.50/1.53 [88]~E(x881,x882)+E(f51(x881,x883),f51(x882,x883)) % 1.50/1.53 [89]~E(x891,x892)+E(f51(x893,x891),f51(x893,x892)) % 1.50/1.53 [90]~E(x901,x902)+E(f27(x901,x903,x904,x905,x906),f27(x902,x903,x904,x905,x906)) % 1.50/1.53 [91]~E(x911,x912)+E(f27(x913,x911,x914,x915,x916),f27(x913,x912,x914,x915,x916)) % 1.50/1.53 [92]~E(x921,x922)+E(f27(x923,x924,x921,x925,x926),f27(x923,x924,x922,x925,x926)) % 1.50/1.53 [93]~E(x931,x932)+E(f27(x933,x934,x935,x931,x936),f27(x933,x934,x935,x932,x936)) % 1.50/1.53 [94]~E(x941,x942)+E(f27(x943,x944,x945,x946,x941),f27(x943,x944,x945,x946,x942)) % 1.50/1.53 [95]~E(x951,x952)+E(f55(x951),f55(x952)) % 1.50/1.53 [96]~E(x961,x962)+E(f65(x961,x963,x964,x965,x966,x967),f65(x962,x963,x964,x965,x966,x967)) % 1.50/1.53 [97]~E(x971,x972)+E(f65(x973,x971,x974,x975,x976,x977),f65(x973,x972,x974,x975,x976,x977)) % 1.50/1.53 [98]~E(x981,x982)+E(f65(x983,x984,x981,x985,x986,x987),f65(x983,x984,x982,x985,x986,x987)) % 1.50/1.53 [99]~E(x991,x992)+E(f65(x993,x994,x995,x991,x996,x997),f65(x993,x994,x995,x992,x996,x997)) % 1.50/1.53 [100]~E(x1001,x1002)+E(f65(x1003,x1004,x1005,x1006,x1001,x1007),f65(x1003,x1004,x1005,x1006,x1002,x1007)) % 1.50/1.53 [101]~E(x1011,x1012)+E(f65(x1013,x1014,x1015,x1016,x1017,x1011),f65(x1013,x1014,x1015,x1016,x1017,x1012)) % 1.50/1.53 [102]~E(x1021,x1022)+E(f50(x1021),f50(x1022)) % 1.50/1.53 [103]~E(x1031,x1032)+E(f17(x1031,x1033,x1034,x1035),f17(x1032,x1033,x1034,x1035)) % 1.50/1.53 [104]~E(x1041,x1042)+E(f17(x1043,x1041,x1044,x1045),f17(x1043,x1042,x1044,x1045)) % 1.50/1.53 [105]~E(x1051,x1052)+E(f17(x1053,x1054,x1051,x1055),f17(x1053,x1054,x1052,x1055)) % 1.50/1.53 [106]~E(x1061,x1062)+E(f17(x1063,x1064,x1065,x1061),f17(x1063,x1064,x1065,x1062)) % 1.50/1.53 [107]~E(x1071,x1072)+E(f23(x1071,x1073,x1074),f23(x1072,x1073,x1074)) % 1.50/1.53 [108]~E(x1081,x1082)+E(f23(x1083,x1081,x1084),f23(x1083,x1082,x1084)) % 1.50/1.53 [109]~E(x1091,x1092)+E(f23(x1093,x1094,x1091),f23(x1093,x1094,x1092)) % 1.50/1.53 [110]~E(x1101,x1102)+E(f58(x1101,x1103),f58(x1102,x1103)) % 1.50/1.53 [111]~E(x1111,x1112)+E(f58(x1113,x1111),f58(x1113,x1112)) % 1.50/1.53 [112]~E(x1121,x1122)+E(f82(x1121,x1123),f82(x1122,x1123)) % 1.50/1.53 [113]~E(x1131,x1132)+E(f82(x1133,x1131),f82(x1133,x1132)) % 1.50/1.53 [114]~E(x1141,x1142)+E(f13(x1141,x1143,x1144),f13(x1142,x1143,x1144)) % 1.50/1.53 [115]~E(x1151,x1152)+E(f13(x1153,x1151,x1154),f13(x1153,x1152,x1154)) % 1.50/1.53 [116]~E(x1161,x1162)+E(f13(x1163,x1164,x1161),f13(x1163,x1164,x1162)) % 1.50/1.53 [117]~E(x1171,x1172)+E(f81(x1171,x1173,x1174,x1175),f81(x1172,x1173,x1174,x1175)) % 1.50/1.53 [118]~E(x1181,x1182)+E(f81(x1183,x1181,x1184,x1185),f81(x1183,x1182,x1184,x1185)) % 1.50/1.53 [119]~E(x1191,x1192)+E(f81(x1193,x1194,x1191,x1195),f81(x1193,x1194,x1192,x1195)) % 1.50/1.53 [120]~E(x1201,x1202)+E(f81(x1203,x1204,x1205,x1201),f81(x1203,x1204,x1205,x1202)) % 1.50/1.53 [121]~E(x1211,x1212)+E(f38(x1211,x1213,x1214,x1215),f38(x1212,x1213,x1214,x1215)) % 1.50/1.53 [122]~E(x1221,x1222)+E(f38(x1223,x1221,x1224,x1225),f38(x1223,x1222,x1224,x1225)) % 1.50/1.53 [123]~E(x1231,x1232)+E(f38(x1233,x1234,x1231,x1235),f38(x1233,x1234,x1232,x1235)) % 1.50/1.53 [124]~E(x1241,x1242)+E(f38(x1243,x1244,x1245,x1241),f38(x1243,x1244,x1245,x1242)) % 1.50/1.53 [125]~E(x1251,x1252)+E(f66(x1251,x1253),f66(x1252,x1253)) % 1.50/1.53 [126]~E(x1261,x1262)+E(f66(x1263,x1261),f66(x1263,x1262)) % 1.50/1.53 [127]~E(x1271,x1272)+E(f52(x1271,x1273,x1274,x1275),f52(x1272,x1273,x1274,x1275)) % 1.50/1.53 [128]~E(x1281,x1282)+E(f52(x1283,x1281,x1284,x1285),f52(x1283,x1282,x1284,x1285)) % 1.50/1.53 [129]~E(x1291,x1292)+E(f52(x1293,x1294,x1291,x1295),f52(x1293,x1294,x1292,x1295)) % 1.50/1.53 [130]~E(x1301,x1302)+E(f52(x1303,x1304,x1305,x1301),f52(x1303,x1304,x1305,x1302)) % 1.50/1.53 [131]~E(x1311,x1312)+E(f63(x1311),f63(x1312)) % 1.50/1.53 [132]~E(x1321,x1322)+E(f12(x1321,x1323),f12(x1322,x1323)) % 1.50/1.53 [133]~E(x1331,x1332)+E(f12(x1333,x1331),f12(x1333,x1332)) % 1.50/1.53 [134]~E(x1341,x1342)+E(f40(x1341,x1343,x1344,x1345),f40(x1342,x1343,x1344,x1345)) % 1.50/1.53 [135]~E(x1351,x1352)+E(f40(x1353,x1351,x1354,x1355),f40(x1353,x1352,x1354,x1355)) % 1.50/1.53 [136]~E(x1361,x1362)+E(f40(x1363,x1364,x1361,x1365),f40(x1363,x1364,x1362,x1365)) % 1.50/1.53 [137]~E(x1371,x1372)+E(f40(x1373,x1374,x1375,x1371),f40(x1373,x1374,x1375,x1372)) % 1.50/1.53 [138]~E(x1381,x1382)+E(f20(x1381,x1383,x1384,x1385,x1386),f20(x1382,x1383,x1384,x1385,x1386)) % 1.50/1.53 [139]~E(x1391,x1392)+E(f20(x1393,x1391,x1394,x1395,x1396),f20(x1393,x1392,x1394,x1395,x1396)) % 1.50/1.53 [140]~E(x1401,x1402)+E(f20(x1403,x1404,x1401,x1405,x1406),f20(x1403,x1404,x1402,x1405,x1406)) % 1.50/1.53 [141]~E(x1411,x1412)+E(f20(x1413,x1414,x1415,x1411,x1416),f20(x1413,x1414,x1415,x1412,x1416)) % 1.50/1.53 [142]~E(x1421,x1422)+E(f20(x1423,x1424,x1425,x1426,x1421),f20(x1423,x1424,x1425,x1426,x1422)) % 1.50/1.53 [143]~E(x1431,x1432)+E(f79(x1431,x1433,x1434,x1435),f79(x1432,x1433,x1434,x1435)) % 1.50/1.53 [144]~E(x1441,x1442)+E(f79(x1443,x1441,x1444,x1445),f79(x1443,x1442,x1444,x1445)) % 1.50/1.53 [145]~E(x1451,x1452)+E(f79(x1453,x1454,x1451,x1455),f79(x1453,x1454,x1452,x1455)) % 1.50/1.53 [146]~E(x1461,x1462)+E(f79(x1463,x1464,x1465,x1461),f79(x1463,x1464,x1465,x1462)) % 1.50/1.53 [147]~E(x1471,x1472)+E(f107(x1471,x1473,x1474),f107(x1472,x1473,x1474)) % 1.50/1.53 [148]~E(x1481,x1482)+E(f107(x1483,x1481,x1484),f107(x1483,x1482,x1484)) % 1.50/1.53 [149]~E(x1491,x1492)+E(f107(x1493,x1494,x1491),f107(x1493,x1494,x1492)) % 1.50/1.53 [150]~E(x1501,x1502)+E(f32(x1501,x1503,x1504,x1505,x1506,x1507,x1508),f32(x1502,x1503,x1504,x1505,x1506,x1507,x1508)) % 1.50/1.53 [151]~E(x1511,x1512)+E(f32(x1513,x1511,x1514,x1515,x1516,x1517,x1518),f32(x1513,x1512,x1514,x1515,x1516,x1517,x1518)) % 1.50/1.53 [152]~E(x1521,x1522)+E(f32(x1523,x1524,x1521,x1525,x1526,x1527,x1528),f32(x1523,x1524,x1522,x1525,x1526,x1527,x1528)) % 1.50/1.53 [153]~E(x1531,x1532)+E(f32(x1533,x1534,x1535,x1531,x1536,x1537,x1538),f32(x1533,x1534,x1535,x1532,x1536,x1537,x1538)) % 1.50/1.53 [154]~E(x1541,x1542)+E(f32(x1543,x1544,x1545,x1546,x1541,x1547,x1548),f32(x1543,x1544,x1545,x1546,x1542,x1547,x1548)) % 1.50/1.53 [155]~E(x1551,x1552)+E(f32(x1553,x1554,x1555,x1556,x1557,x1551,x1558),f32(x1553,x1554,x1555,x1556,x1557,x1552,x1558)) % 1.50/1.53 [156]~E(x1561,x1562)+E(f32(x1563,x1564,x1565,x1566,x1567,x1568,x1561),f32(x1563,x1564,x1565,x1566,x1567,x1568,x1562)) % 1.50/1.53 [157]~E(x1571,x1572)+E(f28(x1571,x1573,x1574,x1575),f28(x1572,x1573,x1574,x1575)) % 1.50/1.53 [158]~E(x1581,x1582)+E(f28(x1583,x1581,x1584,x1585),f28(x1583,x1582,x1584,x1585)) % 1.50/1.53 [159]~E(x1591,x1592)+E(f28(x1593,x1594,x1591,x1595),f28(x1593,x1594,x1592,x1595)) % 1.50/1.53 [160]~E(x1601,x1602)+E(f28(x1603,x1604,x1605,x1601),f28(x1603,x1604,x1605,x1602)) % 1.50/1.53 [161]~E(x1611,x1612)+E(f70(x1611,x1613,x1614,x1615),f70(x1612,x1613,x1614,x1615)) % 1.50/1.53 [162]~E(x1621,x1622)+E(f70(x1623,x1621,x1624,x1625),f70(x1623,x1622,x1624,x1625)) % 1.50/1.53 [163]~E(x1631,x1632)+E(f70(x1633,x1634,x1631,x1635),f70(x1633,x1634,x1632,x1635)) % 1.50/1.53 [164]~E(x1641,x1642)+E(f70(x1643,x1644,x1645,x1641),f70(x1643,x1644,x1645,x1642)) % 1.50/1.53 [165]~E(x1651,x1652)+E(f39(x1651,x1653,x1654,x1655),f39(x1652,x1653,x1654,x1655)) % 1.50/1.53 [166]~E(x1661,x1662)+E(f39(x1663,x1661,x1664,x1665),f39(x1663,x1662,x1664,x1665)) % 1.50/1.53 [167]~E(x1671,x1672)+E(f39(x1673,x1674,x1671,x1675),f39(x1673,x1674,x1672,x1675)) % 1.50/1.53 [168]~E(x1681,x1682)+E(f39(x1683,x1684,x1685,x1681),f39(x1683,x1684,x1685,x1682)) % 1.50/1.53 [169]~E(x1691,x1692)+E(f105(x1691,x1693),f105(x1692,x1693)) % 1.50/1.53 [170]~E(x1701,x1702)+E(f105(x1703,x1701),f105(x1703,x1702)) % 1.50/1.53 [171]~E(x1711,x1712)+E(f31(x1711,x1713,x1714,x1715),f31(x1712,x1713,x1714,x1715)) % 1.50/1.53 [172]~E(x1721,x1722)+E(f31(x1723,x1721,x1724,x1725),f31(x1723,x1722,x1724,x1725)) % 1.50/1.53 [173]~E(x1731,x1732)+E(f31(x1733,x1734,x1731,x1735),f31(x1733,x1734,x1732,x1735)) % 1.50/1.53 [174]~E(x1741,x1742)+E(f31(x1743,x1744,x1745,x1741),f31(x1743,x1744,x1745,x1742)) % 1.50/1.53 [175]~E(x1751,x1752)+E(f33(x1751,x1753,x1754,x1755),f33(x1752,x1753,x1754,x1755)) % 1.50/1.53 [176]~E(x1761,x1762)+E(f33(x1763,x1761,x1764,x1765),f33(x1763,x1762,x1764,x1765)) % 1.50/1.53 [177]~E(x1771,x1772)+E(f33(x1773,x1774,x1771,x1775),f33(x1773,x1774,x1772,x1775)) % 1.50/1.53 [178]~E(x1781,x1782)+E(f33(x1783,x1784,x1785,x1781),f33(x1783,x1784,x1785,x1782)) % 1.50/1.53 [179]~E(x1791,x1792)+E(f103(x1791,x1793),f103(x1792,x1793)) % 1.50/1.53 [180]~E(x1801,x1802)+E(f103(x1803,x1801),f103(x1803,x1802)) % 1.50/1.53 [181]~E(x1811,x1812)+E(f22(x1811,x1813,x1814),f22(x1812,x1813,x1814)) % 1.50/1.53 [182]~E(x1821,x1822)+E(f22(x1823,x1821,x1824),f22(x1823,x1822,x1824)) % 1.50/1.53 [183]~E(x1831,x1832)+E(f22(x1833,x1834,x1831),f22(x1833,x1834,x1832)) % 1.50/1.53 [184]~E(x1841,x1842)+E(f44(x1841,x1843,x1844),f44(x1842,x1843,x1844)) % 1.50/1.53 [185]~E(x1851,x1852)+E(f44(x1853,x1851,x1854),f44(x1853,x1852,x1854)) % 1.50/1.53 [186]~E(x1861,x1862)+E(f44(x1863,x1864,x1861),f44(x1863,x1864,x1862)) % 1.50/1.53 [187]~E(x1871,x1872)+E(f45(x1871,x1873,x1874),f45(x1872,x1873,x1874)) % 1.50/1.53 [188]~E(x1881,x1882)+E(f45(x1883,x1881,x1884),f45(x1883,x1882,x1884)) % 1.50/1.53 [189]~E(x1891,x1892)+E(f45(x1893,x1894,x1891),f45(x1893,x1894,x1892)) % 1.50/1.53 [190]~E(x1901,x1902)+E(f64(x1901,x1903,x1904),f64(x1902,x1903,x1904)) % 1.50/1.53 [191]~E(x1911,x1912)+E(f64(x1913,x1911,x1914),f64(x1913,x1912,x1914)) % 1.50/1.53 [192]~E(x1921,x1922)+E(f64(x1923,x1924,x1921),f64(x1923,x1924,x1922)) % 1.50/1.53 [193]~E(x1931,x1932)+E(f26(x1931,x1933,x1934,x1935,x1936),f26(x1932,x1933,x1934,x1935,x1936)) % 1.50/1.53 [194]~E(x1941,x1942)+E(f26(x1943,x1941,x1944,x1945,x1946),f26(x1943,x1942,x1944,x1945,x1946)) % 1.50/1.53 [195]~E(x1951,x1952)+E(f26(x1953,x1954,x1951,x1955,x1956),f26(x1953,x1954,x1952,x1955,x1956)) % 1.50/1.53 [196]~E(x1961,x1962)+E(f26(x1963,x1964,x1965,x1961,x1966),f26(x1963,x1964,x1965,x1962,x1966)) % 1.50/1.53 [197]~E(x1971,x1972)+E(f26(x1973,x1974,x1975,x1976,x1971),f26(x1973,x1974,x1975,x1976,x1972)) % 1.50/1.53 [198]~E(x1981,x1982)+E(f21(x1981,x1983,x1984,x1985),f21(x1982,x1983,x1984,x1985)) % 1.50/1.53 [199]~E(x1991,x1992)+E(f21(x1993,x1991,x1994,x1995),f21(x1993,x1992,x1994,x1995)) % 1.50/1.53 [200]~E(x2001,x2002)+E(f21(x2003,x2004,x2001,x2005),f21(x2003,x2004,x2002,x2005)) % 1.50/1.53 [201]~E(x2011,x2012)+E(f21(x2013,x2014,x2015,x2011),f21(x2013,x2014,x2015,x2012)) % 1.50/1.53 [202]~E(x2021,x2022)+E(f47(x2021,x2023,x2024),f47(x2022,x2023,x2024)) % 1.50/1.53 [203]~E(x2031,x2032)+E(f47(x2033,x2031,x2034),f47(x2033,x2032,x2034)) % 1.50/1.53 [204]~E(x2041,x2042)+E(f47(x2043,x2044,x2041),f47(x2043,x2044,x2042)) % 1.50/1.53 [205]~E(x2051,x2052)+E(f36(x2051,x2053,x2054,x2055),f36(x2052,x2053,x2054,x2055)) % 1.50/1.53 [206]~E(x2061,x2062)+E(f36(x2063,x2061,x2064,x2065),f36(x2063,x2062,x2064,x2065)) % 1.50/1.53 [207]~E(x2071,x2072)+E(f36(x2073,x2074,x2071,x2075),f36(x2073,x2074,x2072,x2075)) % 1.50/1.53 [208]~E(x2081,x2082)+E(f36(x2083,x2084,x2085,x2081),f36(x2083,x2084,x2085,x2082)) % 1.50/1.53 [209]~E(x2091,x2092)+E(f14(x2091,x2093),f14(x2092,x2093)) % 1.50/1.53 [210]~E(x2101,x2102)+E(f14(x2103,x2101),f14(x2103,x2102)) % 1.50/1.53 [211]~E(x2111,x2112)+E(f24(x2111,x2113),f24(x2112,x2113)) % 1.50/1.53 [212]~E(x2121,x2122)+E(f24(x2123,x2121),f24(x2123,x2122)) % 1.50/1.53 [213]~E(x2131,x2132)+E(f29(x2131,x2133,x2134,x2135),f29(x2132,x2133,x2134,x2135)) % 1.50/1.53 [214]~E(x2141,x2142)+E(f29(x2143,x2141,x2144,x2145),f29(x2143,x2142,x2144,x2145)) % 1.50/1.53 [215]~E(x2151,x2152)+E(f29(x2153,x2154,x2151,x2155),f29(x2153,x2154,x2152,x2155)) % 1.50/1.53 [216]~E(x2161,x2162)+E(f29(x2163,x2164,x2165,x2161),f29(x2163,x2164,x2165,x2162)) % 1.50/1.53 [217]~E(x2171,x2172)+E(f106(x2171,x2173,x2174),f106(x2172,x2173,x2174)) % 1.50/1.53 [218]~E(x2181,x2182)+E(f106(x2183,x2181,x2184),f106(x2183,x2182,x2184)) % 1.50/1.53 [219]~E(x2191,x2192)+E(f106(x2193,x2194,x2191),f106(x2193,x2194,x2192)) % 1.50/1.53 [220]~E(x2201,x2202)+E(f42(x2201,x2203,x2204),f42(x2202,x2203,x2204)) % 1.50/1.53 [221]~E(x2211,x2212)+E(f42(x2213,x2211,x2214),f42(x2213,x2212,x2214)) % 1.50/1.53 [222]~E(x2221,x2222)+E(f42(x2223,x2224,x2221),f42(x2223,x2224,x2222)) % 1.50/1.53 [223]~E(x2231,x2232)+E(f34(x2231,x2233,x2234,x2235),f34(x2232,x2233,x2234,x2235)) % 1.50/1.53 [224]~E(x2241,x2242)+E(f34(x2243,x2241,x2244,x2245),f34(x2243,x2242,x2244,x2245)) % 1.50/1.53 [225]~E(x2251,x2252)+E(f34(x2253,x2254,x2251,x2255),f34(x2253,x2254,x2252,x2255)) % 1.50/1.53 [226]~E(x2261,x2262)+E(f34(x2263,x2264,x2265,x2261),f34(x2263,x2264,x2265,x2262)) % 1.50/1.53 [227]~E(x2271,x2272)+E(f30(x2271,x2273,x2274,x2275),f30(x2272,x2273,x2274,x2275)) % 1.50/1.53 [228]~E(x2281,x2282)+E(f30(x2283,x2281,x2284,x2285),f30(x2283,x2282,x2284,x2285)) % 1.50/1.53 [229]~E(x2291,x2292)+E(f30(x2293,x2294,x2291,x2295),f30(x2293,x2294,x2292,x2295)) % 1.50/1.53 [230]~E(x2301,x2302)+E(f30(x2303,x2304,x2305,x2301),f30(x2303,x2304,x2305,x2302)) % 1.50/1.53 [231]~E(x2311,x2312)+E(f46(x2311,x2313,x2314),f46(x2312,x2313,x2314)) % 1.50/1.53 [232]~E(x2321,x2322)+E(f46(x2323,x2321,x2324),f46(x2323,x2322,x2324)) % 1.50/1.53 [233]~E(x2331,x2332)+E(f46(x2333,x2334,x2331),f46(x2333,x2334,x2332)) % 1.50/1.53 [234]~E(x2341,x2342)+E(f41(x2341,x2343,x2344),f41(x2342,x2343,x2344)) % 1.50/1.53 [235]~E(x2351,x2352)+E(f41(x2353,x2351,x2354),f41(x2353,x2352,x2354)) % 1.50/1.53 [236]~E(x2361,x2362)+E(f41(x2363,x2364,x2361),f41(x2363,x2364,x2362)) % 1.50/1.53 [237]~E(x2371,x2372)+E(f104(x2371,x2373),f104(x2372,x2373)) % 1.50/1.53 [238]~E(x2381,x2382)+E(f104(x2383,x2381),f104(x2383,x2382)) % 1.50/1.53 [239]~E(x2391,x2392)+E(f43(x2391,x2393,x2394),f43(x2392,x2393,x2394)) % 1.50/1.53 [240]~E(x2401,x2402)+E(f43(x2403,x2401,x2404),f43(x2403,x2402,x2404)) % 1.50/1.53 [241]~E(x2411,x2412)+E(f43(x2413,x2414,x2411),f43(x2413,x2414,x2412)) % 1.50/1.53 [242]~E(x2421,x2422)+E(f37(x2421,x2423,x2424,x2425),f37(x2422,x2423,x2424,x2425)) % 1.50/1.53 [243]~E(x2431,x2432)+E(f37(x2433,x2431,x2434,x2435),f37(x2433,x2432,x2434,x2435)) % 1.50/1.53 [244]~E(x2441,x2442)+E(f37(x2443,x2444,x2441,x2445),f37(x2443,x2444,x2442,x2445)) % 1.50/1.53 [245]~E(x2451,x2452)+E(f37(x2453,x2454,x2455,x2451),f37(x2453,x2454,x2455,x2452)) % 1.50/1.53 [246]~E(x2461,x2462)+E(f15(x2461,x2463,x2464,x2465),f15(x2462,x2463,x2464,x2465)) % 1.50/1.53 [247]~E(x2471,x2472)+E(f15(x2473,x2471,x2474,x2475),f15(x2473,x2472,x2474,x2475)) % 1.50/1.53 [248]~E(x2481,x2482)+E(f15(x2483,x2484,x2481,x2485),f15(x2483,x2484,x2482,x2485)) % 1.50/1.53 [249]~E(x2491,x2492)+E(f15(x2493,x2494,x2495,x2491),f15(x2493,x2494,x2495,x2492)) % 1.50/1.53 [250]~E(x2501,x2502)+E(f18(x2501,x2503,x2504,x2505),f18(x2502,x2503,x2504,x2505)) % 1.50/1.53 [251]~E(x2511,x2512)+E(f18(x2513,x2511,x2514,x2515),f18(x2513,x2512,x2514,x2515)) % 1.50/1.53 [252]~E(x2521,x2522)+E(f18(x2523,x2524,x2521,x2525),f18(x2523,x2524,x2522,x2525)) % 1.50/1.53 [253]~E(x2531,x2532)+E(f18(x2533,x2534,x2535,x2531),f18(x2533,x2534,x2535,x2532)) % 1.50/1.53 [254]~E(x2541,x2542)+E(f11(x2541,x2543),f11(x2542,x2543)) % 1.50/1.53 [255]~E(x2551,x2552)+E(f11(x2553,x2551),f11(x2553,x2552)) % 1.50/1.53 [256]~E(x2561,x2562)+E(f19(x2561,x2563,x2564,x2565),f19(x2562,x2563,x2564,x2565)) % 1.50/1.53 [257]~E(x2571,x2572)+E(f19(x2573,x2571,x2574,x2575),f19(x2573,x2572,x2574,x2575)) % 1.50/1.53 [258]~E(x2581,x2582)+E(f19(x2583,x2584,x2581,x2585),f19(x2583,x2584,x2582,x2585)) % 1.50/1.53 [259]~E(x2591,x2592)+E(f19(x2593,x2594,x2595,x2591),f19(x2593,x2594,x2595,x2592)) % 1.50/1.53 [260]~E(x2601,x2602)+E(f35(x2601,x2603),f35(x2602,x2603)) % 1.50/1.53 [261]~E(x2611,x2612)+E(f35(x2613,x2611),f35(x2613,x2612)) % 1.50/1.53 [262]~E(x2621,x2622)+E(f25(x2621,x2623,x2624,x2625),f25(x2622,x2623,x2624,x2625)) % 1.50/1.53 [263]~E(x2631,x2632)+E(f25(x2633,x2631,x2634,x2635),f25(x2633,x2632,x2634,x2635)) % 1.50/1.53 [264]~E(x2641,x2642)+E(f25(x2643,x2644,x2641,x2645),f25(x2643,x2644,x2642,x2645)) % 1.50/1.53 [265]~E(x2651,x2652)+E(f25(x2653,x2654,x2655,x2651),f25(x2653,x2654,x2655,x2652)) % 1.50/1.53 [266]~P1(x2661)+P1(x2662)+~E(x2661,x2662) % 1.50/1.53 [267]~P2(x2671)+P2(x2672)+~E(x2671,x2672) % 1.50/1.53 [268]~P3(x2681)+P3(x2682)+~E(x2681,x2682) % 1.50/1.53 [269]~P56(x2691)+P56(x2692)+~E(x2691,x2692) % 1.50/1.53 [270]~P34(x2701)+P34(x2702)+~E(x2701,x2702) % 1.50/1.53 [271]~P45(x2711)+P45(x2712)+~E(x2711,x2712) % 1.50/1.53 [272]P13(x2722,x2723,x2724)+~E(x2721,x2722)+~P13(x2721,x2723,x2724) % 1.50/1.53 [273]P13(x2733,x2732,x2734)+~E(x2731,x2732)+~P13(x2733,x2731,x2734) % 1.50/1.53 [274]P13(x2743,x2744,x2742)+~E(x2741,x2742)+~P13(x2743,x2744,x2741) % 1.50/1.53 [275]~P69(x2751)+P69(x2752)+~E(x2751,x2752) % 1.50/1.53 [276]~P70(x2761)+P70(x2762)+~E(x2761,x2762) % 1.50/1.53 [277]~P35(x2771)+P35(x2772)+~E(x2771,x2772) % 1.50/1.53 [278]~P57(x2781)+P57(x2782)+~E(x2781,x2782) % 1.50/1.53 [279]~P36(x2791)+P36(x2792)+~E(x2791,x2792) % 1.50/1.53 [280]~P46(x2801)+P46(x2802)+~E(x2801,x2802) % 1.50/1.53 [281]~P59(x2811)+P59(x2812)+~E(x2811,x2812) % 1.50/1.53 [282]~P23(x2821)+P23(x2822)+~E(x2821,x2822) % 1.50/1.53 [283]~P83(x2831)+P83(x2832)+~E(x2831,x2832) % 1.50/1.53 [284]~P25(x2841)+P25(x2842)+~E(x2841,x2842) % 1.50/1.53 [285]P20(x2852,x2853,x2854)+~E(x2851,x2852)+~P20(x2851,x2853,x2854) % 1.50/1.53 [286]P20(x2863,x2862,x2864)+~E(x2861,x2862)+~P20(x2863,x2861,x2864) % 1.50/1.53 [287]P20(x2873,x2874,x2872)+~E(x2871,x2872)+~P20(x2873,x2874,x2871) % 1.50/1.53 [288]~P4(x2881)+P4(x2882)+~E(x2881,x2882) % 1.50/1.53 [289]~P71(x2891)+P71(x2892)+~E(x2891,x2892) % 1.50/1.53 [290]~P48(x2901)+P48(x2902)+~E(x2901,x2902) % 1.50/1.53 [291]~P49(x2911)+P49(x2912)+~E(x2911,x2912) % 1.50/1.53 [292]~P42(x2921)+P42(x2922)+~E(x2921,x2922) % 1.50/1.53 [293]~P24(x2931)+P24(x2932)+~E(x2931,x2932) % 1.50/1.53 [294]P16(x2942,x2943)+~E(x2941,x2942)+~P16(x2941,x2943) % 1.50/1.53 [295]P16(x2953,x2952)+~E(x2951,x2952)+~P16(x2953,x2951) % 1.50/1.53 [296]~P26(x2961)+P26(x2962)+~E(x2961,x2962) % 1.50/1.53 [297]~P58(x2971)+P58(x2972)+~E(x2971,x2972) % 1.50/1.53 [298]~P27(x2981)+P27(x2982)+~E(x2981,x2982) % 1.50/1.53 [299]~P80(x2991)+P80(x2992)+~E(x2991,x2992) % 1.50/1.53 [300]~P60(x3001)+P60(x3002)+~E(x3001,x3002) % 1.50/1.53 [301]~P50(x3011)+P50(x3012)+~E(x3011,x3012) % 1.50/1.53 [302]P8(x3022,x3023)+~E(x3021,x3022)+~P8(x3021,x3023) % 1.50/1.53 [303]P8(x3033,x3032)+~E(x3031,x3032)+~P8(x3033,x3031) % 1.50/1.53 [304]~P72(x3041)+P72(x3042)+~E(x3041,x3042) % 1.71/1.53 [305]~P73(x3051)+P73(x3052)+~E(x3051,x3052) % 1.71/1.53 [306]~P30(x3061)+P30(x3062)+~E(x3061,x3062) % 1.71/1.53 [307]~P33(x3071)+P33(x3072)+~E(x3071,x3072) % 1.71/1.53 [308]~P51(x3081)+P51(x3082)+~E(x3081,x3082) % 1.71/1.53 [309]~P61(x3091)+P61(x3092)+~E(x3091,x3092) % 1.71/1.53 [310]~P64(x3101)+P64(x3102)+~E(x3101,x3102) % 1.71/1.53 [311]~P5(x3111)+P5(x3112)+~E(x3111,x3112) % 1.71/1.53 [312]~P52(x3121)+P52(x3122)+~E(x3121,x3122) % 1.71/1.53 [313]~P44(x3131)+P44(x3132)+~E(x3131,x3132) % 1.71/1.53 [314]~P74(x3141)+P74(x3142)+~E(x3141,x3142) % 1.71/1.53 [315]~P37(x3151)+P37(x3152)+~E(x3151,x3152) % 1.71/1.53 [316]~P31(x3161)+P31(x3162)+~E(x3161,x3162) % 1.71/1.53 [317]~P53(x3171)+P53(x3172)+~E(x3171,x3172) % 1.71/1.53 [318]~P65(x3181)+P65(x3182)+~E(x3181,x3182) % 1.71/1.53 [319]~P47(x3191)+P47(x3192)+~E(x3191,x3192) % 1.71/1.53 [320]~P21(x3201)+P21(x3202)+~E(x3201,x3202) % 1.71/1.53 [321]~P68(x3211)+P68(x3212)+~E(x3211,x3212) % 1.71/1.53 [322]~P81(x3221)+P81(x3222)+~E(x3221,x3222) % 1.71/1.53 [323]~P28(x3231)+P28(x3232)+~E(x3231,x3232) % 1.71/1.53 [324]P6(x3242,x3243)+~E(x3241,x3242)+~P6(x3241,x3243) % 1.71/1.53 [325]P6(x3253,x3252)+~E(x3251,x3252)+~P6(x3253,x3251) % 1.71/1.53 [326]P7(x3262,x3263)+~E(x3261,x3262)+~P7(x3261,x3263) % 1.71/1.53 [327]P7(x3273,x3272)+~E(x3271,x3272)+~P7(x3273,x3271) % 1.71/1.53 [328]~P67(x3281)+P67(x3282)+~E(x3281,x3282) % 1.71/1.53 [329]P9(x3292,x3293,x3294)+~E(x3291,x3292)+~P9(x3291,x3293,x3294) % 1.71/1.53 [330]P9(x3303,x3302,x3304)+~E(x3301,x3302)+~P9(x3303,x3301,x3304) % 1.71/1.53 [331]P9(x3313,x3314,x3312)+~E(x3311,x3312)+~P9(x3313,x3314,x3311) % 1.71/1.53 [332]P19(x3322,x3323,x3324)+~E(x3321,x3322)+~P19(x3321,x3323,x3324) % 1.71/1.53 [333]P19(x3333,x3332,x3334)+~E(x3331,x3332)+~P19(x3333,x3331,x3334) % 1.71/1.53 [334]P19(x3343,x3344,x3342)+~E(x3341,x3342)+~P19(x3343,x3344,x3341) % 1.71/1.53 [335]~P29(x3351)+P29(x3352)+~E(x3351,x3352) % 1.71/1.53 [336]~P66(x3361)+P66(x3362)+~E(x3361,x3362) % 1.71/1.53 [337]~P39(x3371)+P39(x3372)+~E(x3371,x3372) % 1.71/1.53 [338]~P22(x3381)+P22(x3382)+~E(x3381,x3382) % 1.71/1.53 [339]~P62(x3391)+P62(x3392)+~E(x3391,x3392) % 1.71/1.53 [340]~P77(x3401)+P77(x3402)+~E(x3401,x3402) % 1.71/1.53 [341]P11(x3412,x3413,x3414,x3415,x3416,x3417)+~E(x3411,x3412)+~P11(x3411,x3413,x3414,x3415,x3416,x3417) % 1.71/1.53 [342]P11(x3423,x3422,x3424,x3425,x3426,x3427)+~E(x3421,x3422)+~P11(x3423,x3421,x3424,x3425,x3426,x3427) % 1.71/1.53 [343]P11(x3433,x3434,x3432,x3435,x3436,x3437)+~E(x3431,x3432)+~P11(x3433,x3434,x3431,x3435,x3436,x3437) % 1.71/1.53 [344]P11(x3443,x3444,x3445,x3442,x3446,x3447)+~E(x3441,x3442)+~P11(x3443,x3444,x3445,x3441,x3446,x3447) % 1.71/1.53 [345]P11(x3453,x3454,x3455,x3456,x3452,x3457)+~E(x3451,x3452)+~P11(x3453,x3454,x3455,x3456,x3451,x3457) % 1.71/1.53 [346]P11(x3463,x3464,x3465,x3466,x3467,x3462)+~E(x3461,x3462)+~P11(x3463,x3464,x3465,x3466,x3467,x3461) % 1.71/1.53 [347]~P55(x3471)+P55(x3472)+~E(x3471,x3472) % 1.71/1.53 [348]P14(x3482,x3483,x3484)+~E(x3481,x3482)+~P14(x3481,x3483,x3484) % 1.71/1.53 [349]P14(x3493,x3492,x3494)+~E(x3491,x3492)+~P14(x3493,x3491,x3494) % 1.71/1.53 [350]P14(x3503,x3504,x3502)+~E(x3501,x3502)+~P14(x3503,x3504,x3501) % 1.71/1.53 [351]P18(x3512,x3513)+~E(x3511,x3512)+~P18(x3511,x3513) % 1.71/1.53 [352]P18(x3523,x3522)+~E(x3521,x3522)+~P18(x3523,x3521) % 1.71/1.53 [353]~P38(x3531)+P38(x3532)+~E(x3531,x3532) % 1.71/1.53 [354]P17(x3542,x3543,x3544)+~E(x3541,x3542)+~P17(x3541,x3543,x3544) % 1.71/1.53 [355]P17(x3553,x3552,x3554)+~E(x3551,x3552)+~P17(x3553,x3551,x3554) % 1.71/1.53 [356]P17(x3563,x3564,x3562)+~E(x3561,x3562)+~P17(x3563,x3564,x3561) % 1.71/1.53 [357]~P41(x3571)+P41(x3572)+~E(x3571,x3572) % 1.71/1.53 [358]~P43(x3581)+P43(x3582)+~E(x3581,x3582) % 1.71/1.53 [359]~P78(x3591)+P78(x3592)+~E(x3591,x3592) % 1.71/1.53 [360]~P63(x3601)+P63(x3602)+~E(x3601,x3602) % 1.71/1.53 [361]~P75(x3611)+P75(x3612)+~E(x3611,x3612) % 1.71/1.53 [362]~P40(x3621)+P40(x3622)+~E(x3621,x3622) % 1.71/1.53 [363]~P54(x3631)+P54(x3632)+~E(x3631,x3632) % 1.71/1.53 [364]~P76(x3641)+P76(x3642)+~E(x3641,x3642) % 1.71/1.53 [365]P15(x3652,x3653)+~E(x3651,x3652)+~P15(x3651,x3653) % 1.71/1.53 [366]P15(x3663,x3662)+~E(x3661,x3662)+~P15(x3663,x3661) % 1.71/1.53 [367]~P82(x3671)+P82(x3672)+~E(x3671,x3672) % 1.71/1.53 [368]~P32(x3681)+P32(x3682)+~E(x3681,x3682) % 1.71/1.53 [369]P12(x3692,x3693)+~E(x3691,x3692)+~P12(x3691,x3693) % 1.71/1.53 [370]P12(x3703,x3702)+~E(x3701,x3702)+~P12(x3703,x3701) % 1.71/1.53 [371]~P79(x3711)+P79(x3712)+~E(x3711,x3712) % 1.71/1.53 [372]P10(x3722,x3723,x3724,x3725)+~E(x3721,x3722)+~P10(x3721,x3723,x3724,x3725) % 1.71/1.53 [373]P10(x3733,x3732,x3734,x3735)+~E(x3731,x3732)+~P10(x3733,x3731,x3734,x3735) % 1.71/1.53 [374]P10(x3743,x3744,x3742,x3745)+~E(x3741,x3742)+~P10(x3743,x3744,x3741,x3745) % 1.71/1.53 [375]P10(x3753,x3754,x3755,x3752)+~E(x3751,x3752)+~P10(x3753,x3754,x3755,x3751) % 1.71/1.53 % 1.71/1.53 %------------------------------------------- % 1.71/1.53 cnf(1754,plain, % 1.71/1.53 ($false), % 1.71/1.53 inference(scs_inference,[],[589,571,1715]), % 1.71/1.53 ['proof']). % 1.71/1.53 % SZS output end Proof % 1.71/1.53 % Total time :0.210000s %------------------------------------------------------------------------------