%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG395-1 : 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 : n003.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 03:41:35 EDT 2024 % Result : Unsatisfiable 0.67s 0.93s % Output : CNFRefutation 0.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.13 % Problem : ALG395-1 : TPTP v8.2.0. Released v4.1.0. % 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n003.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Jun 19 16:27:39 EDT 2024 % 0.13/0.35 % CPUTime : % 0.54/0.61 start to proof:theBenchmark % 0.55/0.87 %------------------------------------------- % 0.55/0.87 % File :CSE---1.7 % 0.55/0.87 % Problem :theBenchmark % 0.55/0.87 % Transform :cnf % 0.55/0.87 % Format :tptp:raw % 0.55/0.87 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.87 % 0.55/0.87 % Result :Theorem 0.060000s % 0.55/0.87 % Output :CNFRefutation 0.060000s % 0.55/0.87 %------------------------------------------- % 0.55/0.88 %------------------------------------------------------------------------------ % 0.55/0.88 % File : ALG395-1 : TPTP v8.2.0. Released v4.1.0. % 0.55/0.88 % Domain : General Algebra % 0.55/0.88 % Problem : Fundamental theorem of algebra 0638_40 % 0.55/0.88 % Version : Especial. % 0.55/0.88 % English : % 0.55/0.88 % 0.55/0.88 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.55/0.88 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.55/0.88 % Source : [Nip10] % 0.55/0.88 % Names : Fundamental_Theorem_Algebra-0638_40 [Nip10] % 0.55/0.88 % 0.55/0.88 % Status : Unsatisfiable % 0.55/0.88 % Rating : 0.15 v8.2.0, 0.19 v8.1.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.21 v4.1.0 % 0.55/0.88 % Syntax : Number of clauses : 899 ( 144 unt; 63 nHn; 560 RR) % 0.55/0.88 % Number of literals : 2237 ( 436 equ;1295 neg) % 0.55/0.88 % Maximal clause size : 6 ( 2 avg) % 0.55/0.88 % Maximal term depth : 5 ( 1 avg) % 0.55/0.88 % Number of predicates : 74 ( 73 usr; 1 prp; 0-3 aty) % 0.55/0.88 % Number of functors : 37 ( 37 usr; 5 con; 0-3 aty) % 0.55/0.88 % Number of variables : 2295 ( 124 sgn) % 0.55/0.88 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.55/0.88 % 0.55/0.88 % Comments : % 0.55/0.88 %------------------------------------------------------------------------------ % 0.55/0.88 cnf(cls_abs__le__zero__iff_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_inf__top__left_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_inf__top__right_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_distrib__sup__le_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.88 | 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) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_not__exp__less__zero_0,axiom, % 0.55/0.88 ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.55/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.88 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_estimate__by__abs_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.55/0.88 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_real__sqrt__not__eq__zero_0,axiom, % 0.55/0.88 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.88 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.55/0.88 | V_a = V_b ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.88 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.55/0.88 | V_x = V_y ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_linorder__neqE_0,axiom, % 0.55/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.88 | V_x = V_y ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_linorder__less__linear_0,axiom, % 0.55/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.55/0.88 | V_x = V_y % 0.55/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.55/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.88 | V_x = V_y % 0.55/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.55/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.88 | V_x = V_y % 0.55/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.88 | V_x = V_y ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_arctan__zero__zero_0,axiom, % 0.55/0.88 c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_min__max_Osup__idem_0,axiom, % 0.55/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.88 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_abs__of__nonneg_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.88 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.55/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_inf__sup__absorb_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_less__infI1_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.55/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_less__infI2_0,axiom, % 0.55/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.88 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.55/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_abs__mult_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_abs__eq__mult_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.55/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_abs__eq__mult_1,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.55/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.55/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_abs__eq__mult_2,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.55/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_abs__eq__mult_3,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.55/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.55/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_minus__mult__left_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_minus__mult__right_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_real__add__le__0__iff_1,axiom, % 0.55/0.88 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.88 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_real__add__le__0__iff_0,axiom, % 0.55/0.88 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.88 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_le__eq__neg_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.88 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.88 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_le__eq__neg_1,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.88 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_mult__left__idem_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.55/0.88 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_power__eq__0__iff_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.55/0.88 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.55/0.88 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.55/0.88 | ~ class_Power_Opower(T_a) % 0.55/0.88 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_field__power__not__zero_0,axiom, % 0.55/0.88 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.55/0.88 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.88 % 0.55/0.88 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.55/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.88 % 0.55/0.89 cnf(cls_zero__less__norm__iff_1,axiom, % 0.55/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) % 0.55/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__less__iff_2,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__le__0__iff_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__le__0__iff_1,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__le__0__iff_2,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__le__0__iff_3,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__neg__pos_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__pos__neg_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__pos__neg2_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__le__interval__iff_0,axiom, % 0.55/0.89 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 0.55/0.89 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__le__D2_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__lattice_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.55/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_norm__add__less_0,axiom, % 0.55/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_zero__less__norm__iff_0,axiom, % 0.55/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.89 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_sup__0__imp__0_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_add__nonpos__neg_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_add__neg__nonpos_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_neg__less__iff__less_1,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_neg__less__iff__less_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_sup__bot__right_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_sup__bot__left_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_inf__left__commute_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.89 | 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) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_inf__assoc_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.89 | 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) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.89 | 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) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.89 | 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) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__less__iff_1,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_power__less__imp__less__base_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_zero__less__mult__pos_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__pos__pos_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__neg__neg_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_real__mult__order_0,axiom, % 0.55/0.89 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_even__less__0__iff_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_even__less__0__iff_1,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__eq__0__iff_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_no__zero__divisors_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.89 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.55/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.89 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.55/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_double__eq__0__iff_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_right__minus__eq_1,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_diff__0__right_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.89 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_diff__self_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.89 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__of__neg_0,axiom, % 0.55/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__if_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.55/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__if__lattice_0,axiom, % 0.55/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.89 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.55/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_real__abs__def_0,axiom, % 0.55/0.89 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_square__eq__iff_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.89 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.55/0.89 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.55/0.89 | V_a = V_b ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.55/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.89 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.89 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.89 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.55/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_real__add__minus__iff_0,axiom, % 0.55/0.89 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.89 | V_x = V_a ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_abs__sum__triangle__ineq_0,axiom, % 0.55/0.89 c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_inf__bot__right_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_inf__bot__left_0,axiom, % 0.55/0.89 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.89 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_real__mult__self__sum__ge__zero_0,axiom, % 0.55/0.89 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_le__add__iff2_1,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.89 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.55/0.89 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 0.55/0.89 % 0.55/0.89 cnf(cls_le__add__iff2_0,axiom, % 0.55/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_le__add__iff1_1,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_le__add__iff1_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__eq__inf__sup_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__increasing2_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.90 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,V_a,T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__increasing_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.90 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.90 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,V_c,T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_norm__eq__zero_0,axiom, % 0.55/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.90 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_abs__minus__le__zero_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_eq__add__iff2_1,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_abs__le__mult_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__strict__mono_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_max__less__iff__conj_2,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_norm__not__less__zero_0,axiom, % 0.55/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_abs__minus__add__cancel_0,axiom, % 0.55/0.90 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_min__less__iff__conj_2,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_arctan__minus_0,axiom, % 0.55/0.90 c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_abs__triangle__ineq3_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_exp__ge__zero_0,axiom, % 0.55/0.90 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_abs__mult__less_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_diff__add__cancel_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_pcompose__0_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.55/0.90 | c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sqrt__lt__0__iff_0,axiom, % 0.55/0.90 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sqrt__lt__0__iff_1,axiom, % 0.55/0.90 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_inf__sup__distrib2_0,axiom, % 0.55/0.90 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.55/0.90 | 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) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_inf__sup__distrib1_0,axiom, % 0.55/0.90 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.55/0.90 | 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) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_double__eq__0__iff_1,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__mult__commute_0,axiom, % 0.55/0.90 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.90 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__sup__distrib__right_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__sup__distrib__left_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_add__minus__cancel_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_sup__inf__distrib1_0,axiom, % 0.55/0.90 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.55/0.90 | 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) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_sup__inf__distrib2_0,axiom, % 0.55/0.90 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.55/0.90 | 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) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sqrt__ge__0__iff_1,axiom, % 0.55/0.90 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sqrt__ge__0__iff_0,axiom, % 0.55/0.90 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sqrt__ge__zero_0,axiom, % 0.55/0.90 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_compl__bot__eq_0,axiom, % 0.55/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.90 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_pCons__eq__iff_1,axiom, % 0.55/0.90 ( ~ class_HOL_Ozero(T_a) % 0.55/0.90 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.55/0.90 | V_p = V_q ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_pCons__eq__iff_0,axiom, % 0.55/0.90 ( ~ class_HOL_Ozero(T_a) % 0.55/0.90 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.55/0.90 | V_a = V_b ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_pos__add__strict_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_cnj_Oadd_0,axiom, % 0.55/0.90 c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sqrt__eq__iff_0,axiom, % 0.55/0.90 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y) % 0.55/0.90 | V_x = V_y ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_exp__inj__iff_0,axiom, % 0.55/0.90 ( c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) != c_Transcendental_Oexp(V_y,tc_RealDef_Oreal) % 0.55/0.90 | V_x = V_y ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__mono1_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__left__mono_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__right__mono_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__left__mono__neg_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__right__mono__neg_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_sup__eq__if_1,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a % 0.55/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a) % 0.55/0.90 | V_c = V_d % 0.55/0.90 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sum__squares__cancel_0,axiom, % 0.55/0.90 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.90 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_real__sum__squares__cancel2_0,axiom, % 0.55/0.90 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.90 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__idem_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.55/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__strict__mono_H_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_less__eqI_1,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_less__eqI_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.90 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.55/0.90 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.55/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.90 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_power__mult__distrib_0,axiom, % 0.55/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.55/0.90 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.55/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.90 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_split__mult__pos__le_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_split__mult__pos__le_1,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_zero__le__square_0,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_zero__le__mult__iff_4,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.90 % 0.55/0.90 cnf(cls_zero__le__mult__iff_5,axiom, % 0.55/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_norm__mult__less_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__0__less__add__iff_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__0__less__add__iff_1,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_Im_Oadd_0,axiom, % 0.55/0.91 c_Complex_OIm(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__triangle__ineq2_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__mult__assoc_0,axiom, % 0.55/0.91 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__right_Oadd_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Oadd__right_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__left_Oadd_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Oadd__left_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__add__mult__distrib_0,axiom, % 0.55/0.91 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_less__supI1_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_less__supI2_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__minus__commute_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__mult__iff_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__mult__iff_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__mult__iff_2,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__mult__iff_3,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__equal__zero_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.55/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Ominus__left_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__left_Ominus_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Ominus__right_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__right_Ominus_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_square__eq__iff_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_minus__mult__minus_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__mono_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(V_c,V_d,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__mono_H_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(V_c,V_d,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_max__add__distrib__left_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__mult__self__sum__ge__zero_0,axiom, % 0.55/0.91 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_compl__sup_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__sup__eq__inf_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__zero_0,axiom, % 0.55/0.91 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Osup__commute_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sum__squares__cancel__a_0,axiom, % 0.55/0.91 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sum__squares__cancel__a_1,axiom, % 0.55/0.91 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_order__root_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.91 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_poly__0_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.55/0.91 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__diff__def_0,axiom, % 0.55/0.91 c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_diff__def_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__idem_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_xt1_I10_J_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_order__less__trans_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__eq__0_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_not__exp__le__zero_0,axiom, % 0.55/0.91 ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__cancel__21_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.55/0.91 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__triangle__ineq_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_norm__triangle__ineq3_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__strict__increasing2_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_power__mono_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.55/0.91 | 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) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__eqI_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.55/0.91 | V_x_H = V_y_H ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__eqI_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.55/0.91 | V_xa = V_y ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_power__less__zero__eq_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_diff__eq_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_power__le__zero__eq_3,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_Power_Opower__class_Opower(V_x,V_n,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.91 | c_lessequals(V_a,V_b,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.91 | c_lessequals(V_a,V_b,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,V_b,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(V_a,V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_b,V_a,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(V_b,V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__mult__le__cancel__iff2_1,axiom, % 0.55/0.91 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__mult__le__cancel__iff2_0,axiom, % 0.55/0.91 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__mult__le__cancel__iff1_1,axiom, % 0.55/0.91 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__mult__le__cancel__iff1_0,axiom, % 0.55/0.91 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__left__commute_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__assoc_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_max__less__iff__conj_1,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_max__less__iff__conj_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_less__max__iff__disj_2,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_less__max__iff__disj_1,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__commute_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_combine__common__factor_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_ab__left__minus_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_right__minus_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_left__minus_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__add__eq__0__iff_1,axiom, % 0.55/0.91 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__neg__neg_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | V_a = V_b ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_right__minus__eq_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | V_a = V_b ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.91 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | V_x = V_y ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__right_Odiff_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Odiff__right_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult_Odiff__left_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__left_Odiff_0,axiom, % 0.55/0.91 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__less__iff__disj_2,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__less__iff__disj_1,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__less__iff__conj_1,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__less__iff__conj_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__mult_0,axiom, % 0.55/0.91 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__le__0__iff_0,axiom, % 0.55/0.91 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__le__0__iff_1,axiom, % 0.55/0.91 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_power__abs_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__diff__less__iff_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.55/0.91 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.55/0.91 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__of__pos_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 0.55/0.91 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sum__square__gt__zero2_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sum__square__gt__zero_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__eq__neg__sup_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__commute_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__inf__eq__sup_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_compl__inf_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__minus__mult__self__le_0,axiom, % 0.55/0.91 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_le__real__sqrt__sumsq_0,axiom, % 0.55/0.91 c_lessequals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__cancel__end_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.55/0.91 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__left__idem_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_exp__add_0,axiom, % 0.55/0.91 ( ~ class_SEQ_Obanach(T_a) % 0.55/0.91 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.55/0.91 | c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__less__iff_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__less__iff_1,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_exp__not__eq__zero_0,axiom, % 0.55/0.91 ( ~ class_SEQ_Obanach(T_a) % 0.55/0.91 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.55/0.91 | c_Transcendental_Oexp(V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__of__nonpos_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__ring_Osub__add_0,axiom, % 0.55/0.91 ( ~ class_Int_Onumber__ring(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_diff__minus_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_ab__diff__minus_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__add__distrib__left_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__le__interval__iff_2,axiom, % 0.55/0.91 ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(V_x,V_r,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__leI_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__le__iff_2,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__minus__cancel_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__less__sum__gt__zero_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sum__gt__zero__less_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.91 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.55/0.91 | V_y = V_z ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__imp__eq_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.55/0.91 | V_b = V_c ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__left__cancel_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.55/0.91 | V_b = V_c ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__right__cancel_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.55/0.91 | V_b = V_c ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_poly__bound__exists_0,axiom, % 0.55/0.91 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_not__square__less__zero_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__le__0__iff_4,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__le__0__iff_5,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_split__mult__neg__le_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_split__mult__neg__le_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__le__zero__iff_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__nonneg__pos_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__pos__nonneg_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_exp__less__mono_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_exp__less__cancel_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_compl__sup__top_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__compl__top_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_pCons__0__0_0,axiom, % 0.55/0.91 ( ~ class_HOL_Ozero(T_a) % 0.55/0.91 | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_compl__unique_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.55/0.91 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_distrib__inf__le_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.91 | 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) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__gt__0__iff_1,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__gt__0__iff_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__gt__zero_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__inf__distrib__left_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__inf__distrib__right_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_max__diff__distrib__left_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_mult__exp__exp_0,axiom, % 0.55/0.91 ( ~ class_SEQ_Obanach(T_a) % 0.55/0.91 | ~ class_RealVector_Oreal__normed__field(T_a) % 0.55/0.91 | c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__cancel__21_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom, % 0.55/0.91 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__power__abs_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(V_a,T_a),V_n,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_rabs__ratiotest__lemma_0,axiom, % 0.55/0.91 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_c,c_HOL_Oabs__class_Oabs(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__eq__if_0,axiom, % 0.55/0.91 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.91 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__0__imp__0_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__eq__0__iff_0,axiom, % 0.55/0.91 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.91 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_add__strict__increasing_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_b,V_c,T_a) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_arctan__monotone_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_min__diff__distrib__left_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.91 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_compl__inf__bot_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_inf__compl__bot_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__power__iff_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__le__power_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_le__minus__self__iff_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_le__minus__self__iff_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_minus__le__self__iff_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_minus__le__self__iff_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.91 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.55/0.91 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.55/0.91 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__add__iff1_1,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__add__less__0__iff_0,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__add__less__0__iff_1,axiom, % 0.55/0.91 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.91 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_abs__idempotent_0,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__add__iff1_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_eq__add__iff2_0,axiom, % 0.55/0.91 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 0.55/0.91 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_zero__less__abs__iff_1,axiom, % 0.55/0.91 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.91 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 0.55/0.91 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__top__left_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_sup__top__right_0,axiom, % 0.55/0.91 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_complex__cnj__cnj_0,axiom, % 0.55/0.91 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__power_0,axiom, % 0.55/0.91 c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x,V_k,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(V_x),V_k,tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_real__sqrt__minus_0,axiom, % 0.55/0.91 c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ). % 0.55/0.91 % 0.55/0.91 cnf(cls_not__real__square__gt__zero_1,axiom, % 0.55/0.91 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__zero_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_pCons__eq__0__iff_1,axiom, % 0.55/0.92 ( ~ class_HOL_Ozero(T_a) % 0.55/0.92 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.55/0.92 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_pCons__eq__0__iff_0,axiom, % 0.55/0.92 ( ~ class_HOL_Ozero(T_a) % 0.55/0.92 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.55/0.92 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__mult_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.55/0.92 | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_power__commutes_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__mult__left__cancel_0,axiom, % 0.55/0.92 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal) % 0.55/0.92 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.92 | V_a = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__mult__right__cancel_0,axiom, % 0.55/0.92 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal) % 0.55/0.92 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.92 | V_a = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__ge__minus__self_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__add__iff1_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__add__iff1_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__add__iff2_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__add__iff2_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__strict__right__mono_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__strict__left__mono_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__mult__less__mono2_0,axiom, % 0.55/0.92 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__mult__less__iff1_1,axiom, % 0.55/0.92 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__mult__less__iff1_0,axiom, % 0.55/0.92 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_diff__minus__eq__add_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__0__le__add__iff_0,axiom, % 0.55/0.92 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__0__le__add__iff_1,axiom, % 0.55/0.92 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_exp__gt__zero_0,axiom, % 0.55/0.92 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__0__left_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.92 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.92 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_id__apply_0,axiom, % 0.55/0.92 c_Fun_Oid(V_x,T_a) = V_x ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__diff__cancel_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__diff__less__iff_2,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__equation__iff_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_equation__minus__iff_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_equation__minus__iff_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_double__compl_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__minus_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__diff__eq_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__less__le__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_c,V_d,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__le__less__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__less__iff_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__less__iff_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__minus__iff_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__minus__iff_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_xt1_I7_J_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_z,V_y,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_xt1_I8_J_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__add__right__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_c,V_d,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__le__trans_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__le__less__trans_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sup__absorb1_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__iff__sup_1,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__iff__sup_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__imp__le_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__le__less_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__le__not__le_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__max__iff__disj_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__max__iff__disj_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__supE_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_b,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__supE_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_a,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__le__iff__disj_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__ge__self_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__le__iff__disj_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__le__iff__disj_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__infE_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__infE_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_a,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__max__iff__disj_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_z,V_y,T_a) % 0.55/0.92 | c_lessequals(V_z,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_c,V_d,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__sup__iff_2,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sup__least_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_z,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sup__ge2_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sup__ge1_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__supI_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_b,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.92 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__inf__iff_1,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__inf__iff_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__infI2_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__infI1_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__infE_1,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__infE_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,V_a,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_xt1_I11_J_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | V_a = V_b % 0.55/0.92 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_xt1_I12_J_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | ~ c_lessequals(V_b,V_a,T_a) % 0.55/0.92 | V_a = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__neq__le__trans_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) % 0.55/0.92 | V_a = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__le__neq__trans_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | V_a = V_b % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_zero__less__power_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__max__iff__disj_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__add__eq__0__iff_0,axiom, % 0.55/0.92 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.92 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__unique_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.92 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__less__iff_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__less__iff__disj_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.92 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.55/0.92 | V_c = V_d % 0.55/0.92 | V_a = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.55/0.92 | ~ class_Int_Onumber__ring(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) % 0.55/0.92 | V_y = V_z % 0.55/0.92 | V_w = V_x ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__exp__cancel_0,axiom, % 0.55/0.92 c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__mult__self_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__eq__top__eq1_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 0.55/0.92 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__eq__top__eq2_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.55/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a) % 0.55/0.92 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__left_Ozero_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult_Ozero__left_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult_Ozero__right_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__right_Ozero_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__zero__left_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__zero__right_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__eq__0__iff_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__eq__0__iff_2,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__power__minus_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_compl__top__eq_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__mult__pos_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__neq__iff_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__le_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__less__def_1,axiom, % 0.55/0.92 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__irrefl_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sup__inf__absorb_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__pos__pos_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__le__eq__diff_1,axiom, % 0.55/0.92 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__le__eq__diff_0,axiom, % 0.55/0.92 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(V_a,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__strict__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__cancel__end_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__add__cancel_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__equality_0,axiom, % 0.55/0.92 ( c_Complex_OIm(V_x) != c_Complex_OIm(V_y) % 0.55/0.92 | c_Complex_ORe(V_x) != c_Complex_ORe(V_y) % 0.55/0.92 | V_x = V_y ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__not__less__zero_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__Re__cnj_0,axiom, % 0.55/0.92 c_Complex_ORe(c_Complex_Ocnj(V_x)) = c_Complex_ORe(V_x) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__diff__triangle__ineq_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.55/0.92 | ~ c_lessequals(V_c,V_d,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__cnj__cancel__iff_0,axiom, % 0.55/0.92 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y) % 0.55/0.92 | V_x = V_y ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__mult__commute_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oring(T_a) % 0.55/0.92 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__triangle__ineq4_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__zero_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_neg__equal__zero_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.92 | 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) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__left__idem_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | 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) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__sqrt__abs2_0,axiom, % 0.55/0.92 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__abs__def_1,axiom, % 0.55/0.92 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r % 0.55/0.92 | c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__if__lattice_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__if_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.55/0.92 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.92 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__add__abs_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__eq__0_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.92 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__idem_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_zero__less__abs__iff_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_Re_Oadd_0,axiom, % 0.55/0.92 c_Complex_ORe(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__less__cancel__left_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__less__cancel__left_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__strict__left__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__less__cancel__right_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__less__cancel__right_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__strict__right__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__power_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 0.55/0.92 | c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_n,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_poly__pCons_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.55/0.92 | c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),V_x,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,c_Polynomial_Opoly(V_p,V_x,T_a),T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__ratiotest__lemma_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.92 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__two__squares__add__zero__iff_2,axiom, % 0.55/0.92 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__diff__less__iff_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_not__real__square__gt__zero_0,axiom, % 0.55/0.92 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_sup__eq__neg__inf_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.55/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__Im__cnj_0,axiom, % 0.55/0.92 c_Complex_OIm(c_Complex_Ocnj(V_x)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__minus__self__iff_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__minus__self__iff_1,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__ge__zero_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__add_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__add__distrib_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.55/0.92 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__asym_H_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__asym_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_xt1_I9_J_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__le__less_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__less__le_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__eqI_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.55/0.92 | c_lessequals(V_y_H,V_x_H,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__eqI_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.55/0.92 | c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__sup__iff_1,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__sup__iff_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__supI2_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__supI1_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__supE_1,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_b,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__supE_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_a,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_top__greatest_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Otop(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__greatest_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__inf__iff_2,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__infI_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__le2_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__le1_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olattice(T_a) % 0.55/0.92 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__le__cancel__right_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__le__cancel__right_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_lessequals(V_a,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__le__cancel__left_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__le__cancel__left_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.55/0.92 | c_lessequals(V_a,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__right__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_add__left__mono_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_bot__least_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Obot(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Osup__least_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_z,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__supI_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_b,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__maxI1_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__maxI2_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_neg__le__iff__le_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(V_a,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__imp__neg__le_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__le__D1_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.55/0.92 | c_lessequals(V_a,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Ole__infI_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_b,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_less__le__not__le_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_not__leE_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_x,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.55/0.92 | c_lessequals(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__not__less_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__not__less_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__not__le_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__not__le_1,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_inf__absorb2_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__iff__inf_1,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__iff__inf_0,axiom, % 0.55/0.92 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.55/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__le__iff_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_minus__le__iff_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.55/0.92 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__minus__iff_1,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_le__minus__iff_0,axiom, % 0.55/0.92 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.55/0.92 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.55/0.92 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__less__def_0,axiom, % 0.55/0.92 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__sqrt__le__iff_0,axiom, % 0.55/0.92 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__sqrt__le__iff_1,axiom, % 0.55/0.92 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__less__def_2,axiom, % 0.55/0.92 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__add__left__mono_0,axiom, % 0.55/0.92 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_exp__le__cancel__iff_1,axiom, % 0.55/0.92 ( c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_exp__le__cancel__iff_0,axiom, % 0.55/0.92 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_arctan__monotone_H_0,axiom, % 0.55/0.92 ( c_lessequals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__le__interval__iff_1,axiom, % 0.55/0.92 ( c_lessequals(V_x,V_r,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__triangle__ineq_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__triangle__ineq2_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__diff__ineq_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__triangle__ineq4_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__power__ineq_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 0.55/0.92 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_n,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__mult__ineq_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.55/0.92 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__le__zero__iff_1,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__le__zero__iff_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.55/0.92 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__minus__cancel_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__norm__cancel_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__minus__commute_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__mod__triangle__sub_0,axiom, % 0.55/0.92 c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__Im__le__cmod_0,axiom, % 0.55/0.92 c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_OIm(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_abs__Re__le__cmod_0,axiom, % 0.55/0.92 c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__mod__triangle__ineq2_0,axiom, % 0.55/0.92 c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_a,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_id__def_0,axiom, % 0.55/0.92 c_Fun_Oid(v_x,t_a) = v_x ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__mod__cnj_0,axiom, % 0.55/0.92 c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_poly__pcompose_0,axiom, % 0.55/0.92 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.55/0.92 | c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_poly__infinity_0,axiom, % 0.55/0.92 ( c_lessequals(V_d,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,tc_Complex_Ocomplex),V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(V_a,V_d,V_p),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.55/0.92 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_norm__ge__zero_0,axiom, % 0.55/0.92 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.55/0.92 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom, % 0.55/0.92 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_complex__Re__le__cmod_0,axiom, % 0.55/0.92 c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_poly__minimum__modulus__disc_0,axiom, % 0.55/0.92 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(V_p,V_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_poly__bound__exists_1,axiom, % 0.55/0.92 ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_poly__minimum__modulus_0,axiom, % 0.55/0.92 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(V_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_that_0,axiom, % 0.55/0.92 ( v_thesis____ % 0.55/0.92 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,V_c,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,v_sko__local__Xthat__1(V_c,v_pa____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__le__linear_0,axiom, % 0.55/0.92 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.55/0.92 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_linorder__linear_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Olinorder(T_a) % 0.55/0.92 | c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_xt1_I6_J_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_lessequals(V_z,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_z,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__trans_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_z,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__le__refl_0,axiom, % 0.55/0.92 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__le__trans_0,axiom, % 0.55/0.92 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__eq__iff_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__eq__refl_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Opreorder(T_a) % 0.55/0.92 | c_lessequals(V_x,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__antisym__conv_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__eq__iff_2,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_order__antisym_0,axiom, % 0.55/0.92 ( ~ class_Orderings_Oorder(T_a) % 0.55/0.92 | V_x = V_y % 0.55/0.92 | ~ c_lessequals(V_y,V_x,T_a) % 0.55/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_real__le__antisym_0,axiom, % 0.55/0.92 ( V_z = V_w % 0.55/0.92 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.55/0.92 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_CHAINED_0,axiom, % 0.55/0.92 c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__CHAINED__1(V_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(cls_conjecture_0,negated_conjecture, % 0.55/0.92 ~ v_thesis____ ). % 0.55/0.92 % 0.55/0.92 cnf(cls_conjecture_1,negated_conjecture, % 0.55/0.92 ( v_thesis____ % 0.55/0.92 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,V_xa,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.55/0.92 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.55/0.92 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom, % 0.55/0.92 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) % 0.55/0.92 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.55/0.92 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.55/0.92 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.55/0.92 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom, % 0.55/0.92 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.55/0.92 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.55/0.92 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 0.55/0.92 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.55/0.92 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.55/0.92 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.55/0.92 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.55/0.92 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.55/0.92 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom, % 0.55/0.92 class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join,axiom, % 0.55/0.92 class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.55/0.92 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.55/0.92 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.55/0.92 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.55/0.92 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 0.55/0.92 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.55/0.92 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.55/0.92 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.55/0.92 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.55/0.92 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 0.55/0.92 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 0.55/0.92 % 0.55/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.55/0.92 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.67/0.92 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.67/0.92 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.67/0.92 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 0.67/0.92 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 0.67/0.92 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.67/0.92 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.67/0.92 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.67/0.92 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.67/0.92 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.67/0.92 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.67/0.92 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.67/0.92 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 0.67/0.92 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.67/0.92 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.67/0.92 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 0.67/0.92 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.67/0.92 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom, % 0.67/0.92 class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom, % 0.67/0.92 class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.67/0.92 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.67/0.92 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.67/0.92 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.67/0.92 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 0.67/0.92 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom, % 0.67/0.92 class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.67/0.92 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.67/0.92 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 0.67/0.92 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.67/0.92 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.67/0.92 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.67/0.92 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.67/0.92 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom, % 0.67/0.92 class_Lattices_Olattice(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.67/0.92 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.67/0.92 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__Power_Opower,axiom, % 0.67/0.92 class_Power_Opower(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom, % 0.67/0.92 class_SEQ_Obanach(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom, % 0.67/0.92 class_HOL_Ozero(tc_RealDef_Oreal) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.67/0.92 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.67/0.92 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.67/0.92 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.67/0.92 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.67/0.92 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.67/0.92 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.67/0.92 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.67/0.92 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.67/0.92 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.67/0.92 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 0.67/0.92 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.67/0.92 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.67/0.92 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 0.67/0.92 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.67/0.92 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.67/0.92 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.67/0.92 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.67/0.92 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.67/0.92 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.67/0.92 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom, % 0.67/0.92 class_Power_Opower(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom, % 0.67/0.92 class_SEQ_Obanach(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom, % 0.67/0.92 class_HOL_Ozero(tc_Complex_Ocomplex) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.67/0.92 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.92 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.67/0.92 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.67/0.92 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.92 % 0.67/0.92 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.67/0.93 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom, % 0.67/0.93 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.67/0.93 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.67/0.93 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.67/0.93 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.67/0.93 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.67/0.93 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one,axiom, % 0.67/0.93 ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom, % 0.67/0.93 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.67/0.93 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom, % 0.67/0.93 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult,axiom, % 0.67/0.93 ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom, % 0.67/0.93 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.67/0.93 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.67/0.93 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.67/0.93 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.67/0.93 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.67/0.93 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__Power_Opower,axiom, % 0.67/0.93 ( class_Power_Opower(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.67/0.93 % 0.67/0.93 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom, % 0.67/0.93 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1)) % 0.67/0.93 | ~ class_HOL_Ozero(T_1) ) ). % 0.67/0.93 % 0.67/0.93 %------------------------------------------------------------------------------ % 0.67/0.93 %------------------------------------------- % 0.67/0.93 % Proof found % 0.67/0.93 % SZS status Theorem for theBenchmark % 0.67/0.93 % SZS output start Proof % 0.67/0.93 %ClaNum:1040(EqnAxiom:143) % 0.67/0.93 %VarNum:5920(SingletonVarNum:1999) % 0.67/0.93 %MaxLitNum:6 % 0.67/0.93 %MaxfuncDepth:4 % 0.67/0.93 %SharedTerms:114 % 0.67/0.93 %goalClause: 281 1022 % 0.67/0.93 %singleGoalClaCount:1 % 0.67/0.93 [144]P1(a1) % 0.67/0.93 [145]P2(a1) % 0.67/0.93 [146]P30(a1) % 0.67/0.93 [147]P10(a1) % 0.67/0.93 [148]P11(a1) % 0.67/0.93 [149]P11(a2) % 0.67/0.93 [150]P36(a1) % 0.67/0.93 [151]P12(a1) % 0.67/0.93 [152]P59(a1) % 0.67/0.93 [153]P66(a1) % 0.67/0.93 [154]P66(a2) % 0.67/0.93 [155]P23(a1) % 0.67/0.93 [156]P68(a1) % 0.67/0.93 [157]P68(a2) % 0.67/0.93 [158]P37(a1) % 0.67/0.93 [159]P37(a2) % 0.67/0.93 [160]P38(a1) % 0.67/0.93 [161]P38(a2) % 0.67/0.93 [162]P39(a1) % 0.67/0.93 [163]P39(a2) % 0.67/0.93 [164]P69(a1) % 0.67/0.93 [165]P69(a2) % 0.67/0.93 [166]P24(a1) % 0.67/0.93 [167]P43(a1) % 0.67/0.93 [168]P43(a2) % 0.67/0.93 [169]P60(a1) % 0.67/0.93 [170]P61(a1) % 0.67/0.93 [171]P48(a1) % 0.67/0.93 [172]P48(a2) % 0.67/0.93 [173]P31(a1) % 0.67/0.93 [174]P62(a1) % 0.67/0.93 [175]P70(a1) % 0.67/0.93 [176]P70(a2) % 0.67/0.93 [177]P13(a1) % 0.67/0.93 [178]P13(a2) % 0.67/0.93 [179]P54(a1) % 0.67/0.93 [180]P54(a2) % 0.67/0.93 [181]P3(a1) % 0.67/0.93 [182]P3(a2) % 0.67/0.93 [183]P49(a1) % 0.67/0.93 [184]P63(a1) % 0.67/0.93 [185]P64(a1) % 0.67/0.93 [186]P32(a1) % 0.67/0.93 [187]P15(a1) % 0.67/0.93 [188]P15(a2) % 0.67/0.93 [189]P55(a1) % 0.67/0.93 [190]P50(a1) % 0.67/0.93 [191]P50(a2) % 0.67/0.93 [192]P7(a1) % 0.67/0.93 [193]P25(a1) % 0.67/0.93 [194]P4(a1) % 0.67/0.93 [195]P4(a2) % 0.67/0.93 [196]P56(a1) % 0.67/0.93 [197]P57(a1) % 0.67/0.93 [198]P22(a1) % 0.67/0.93 [199]P22(a2) % 0.67/0.93 [200]P65(a1) % 0.67/0.93 [201]P44(a1) % 0.67/0.93 [202]P44(a2) % 0.67/0.93 [203]P16(a1) % 0.67/0.93 [204]P16(a2) % 0.67/0.93 [205]P51(a1) % 0.67/0.93 [206]P51(a2) % 0.67/0.93 [207]P14(a1) % 0.67/0.93 [208]P26(a1) % 0.67/0.93 [209]P67(a1) % 0.67/0.93 [210]P40(a1) % 0.67/0.93 [211]P41(a1) % 0.67/0.93 [212]P17(a1) % 0.67/0.93 [213]P17(a2) % 0.67/0.93 [214]P71(a1) % 0.67/0.93 [215]P71(a2) % 0.67/0.93 [216]P72(a1) % 0.67/0.93 [217]P72(a2) % 0.67/0.93 [218]P45(a1) % 0.67/0.93 [219]P45(a2) % 0.67/0.93 [220]P58(a1) % 0.67/0.93 [221]P19(a1) % 0.67/0.93 [222]P19(a2) % 0.67/0.93 [223]P20(a1) % 0.67/0.93 [224]P20(a2) % 0.67/0.93 [225]P27(a1) % 0.67/0.93 [226]P46(a1) % 0.67/0.93 [227]P46(a2) % 0.67/0.93 [228]P28(a1) % 0.67/0.93 [229]P28(a2) % 0.67/0.93 [230]P29(a1) % 0.67/0.93 [231]P29(a2) % 0.67/0.93 [232]P34(a1) % 0.67/0.93 [233]P33(a1) % 0.67/0.93 [234]P47(a1) % 0.67/0.93 [235]P47(a2) % 0.67/0.93 [236]P21(a1) % 0.67/0.93 [237]P21(a2) % 0.67/0.93 [238]P52(a1) % 0.67/0.93 [239]P52(a2) % 0.67/0.93 [240]P53(a1) % 0.67/0.93 [241]P53(a2) % 0.67/0.93 [281]~P73(a5000) % 0.67/0.93 [242]E(f12(f3(a1)),f3(a1)) % 0.67/0.93 [243]E(f15(f3(a1)),f3(a1)) % 0.67/0.93 [285]~P6(f3(a1),f11(f3(a1),f3(a1),a1),a1) % 0.67/0.93 [268]E(f9(f11(f3(a1),f3(a1),a1),f11(f3(a1),f3(a1),a1),a1),f3(a1)) % 0.67/0.93 [251]P5(x2511,x2511,a1) % 0.67/0.93 [282]~P6(x2821,x2821,a1) % 0.67/0.93 [253]P5(f3(a1),f25(x2531,a1),a1) % 0.67/0.93 [254]P6(f3(a1),f25(x2541,a1),a1) % 0.67/0.93 [255]P5(f5(x2551),f16(x2551,a2),a1) % 0.67/0.93 [283]~P5(f25(x2831,a1),f3(a1),a1) % 0.67/0.93 [284]~P6(f25(x2841,a1),f3(a1),a1) % 0.67/0.93 [244]E(f4(f4(x2441)),x2441) % 0.67/0.93 [245]E(f5(f4(x2451)),f5(x2451)) % 0.67/0.93 [246]E(f7(f6(x2461),a1),f6(f4(x2461))) % 0.67/0.93 [247]E(f16(f4(x2471),a2),f16(x2471,a2)) % 0.67/0.93 [248]E(f12(f7(x2481,a1)),f7(f12(x2481),a1)) % 0.67/0.93 [249]E(f15(f7(x2491,a1)),f7(f15(x2491),a1)) % 0.67/0.93 [250]E(f8(f25(x2501,a1),a1),f25(x2501,a1)) % 0.67/0.93 [252]E(f9(x2521,f7(x2521,a1),a1),f3(a1)) % 0.67/0.93 [258]P5(f8(f6(x2581),a1),f16(x2581,a2),a1) % 0.67/0.93 [259]P5(f8(f5(x2591),a1),f16(x2591,a2),a1) % 0.67/0.93 [260]E(f12(f11(x2601,x2601,a1)),f8(x2601,a1)) % 0.67/0.93 [262]P5(f7(f16(x2621,a2),a1),f16(x2621,a2),a1) % 0.67/0.93 [256]P6(f3(a1),f28(x2561,x2562),a1) % 0.67/0.93 [257]E(f11(x2571,x2572,a1),f11(x2572,x2571,a1)) % 0.67/0.93 [261]E(f9(x2611,f7(x2612,a1),a1),f10(x2611,x2612,a1)) % 0.67/0.93 [263]E(f12(f17(x2631,x2632,a1)),f17(f12(x2631),x2632,a1)) % 0.67/0.93 [264]E(f11(f12(x2641),f12(x2642),a1),f12(f11(x2641,x2642,a1))) % 0.67/0.93 [265]E(f9(f4(x2651),f4(x2652),a2),f4(f9(x2651,x2652,a2))) % 0.67/0.93 [266]E(f9(f6(x2661),f6(x2662),a1),f6(f9(x2661,x2662,a2))) % 0.67/0.93 [267]E(f9(f5(x2671),f5(x2672),a1),f5(f9(x2671,x2672,a2))) % 0.67/0.93 [271]P5(f7(f11(x2711,x2711,a1),a1),f11(x2712,x2712,a1),a1) % 0.67/0.93 [275]P5(f3(a1),f9(f11(x2751,x2751,a1),f11(x2752,x2752,a1),a1),a1) % 0.67/0.93 [276]P5(f16(x2761,a2),f9(f16(f9(x2761,x2762,a2),a2),f16(x2762,a2),a1),a1) % 0.67/0.93 [277]P5(f10(f16(f9(x2771,x2772,a2),a2),f16(x2771,a2),a1),f16(x2772,a2),a1) % 0.67/0.93 [270]E(f8(f9(x2701,f7(x2702,a1),a1),a1),f8(f9(x2702,f7(x2701,a1),a1),a1)) % 0.67/0.93 [273]P5(f16(f18(x2731,f31(x2731),a2),a2),f16(f18(x2731,x2732,a2),a2),a1) % 0.67/0.93 [274]P5(f16(f18(x2741,f29(x2741),a2),a2),f16(f18(x2741,x2742,a2),a2),a1) % 0.67/0.93 [278]P5(x2781,f12(f9(f11(x2781,x2781,a1),f11(x2782,x2782,a1),a1)),a1) % 0.67/0.93 [279]P5(f3(a1),f12(f9(f11(x2791,x2791,a1),f11(x2792,x2792,a1),a1)),a1) % 0.67/0.93 [269]E(f11(f11(x2691,x2692,a1),x2693,a1),f11(x2691,f11(x2692,x2693,a1),a1)) % 0.67/0.93 [272]E(f9(f11(x2721,x2722,a1),f11(x2723,x2722,a1),a1),f11(f9(x2721,x2723,a1),x2722,a1)) % 0.67/0.93 [280]P5(f8(f9(f9(x2801,x2802,a1),f9(f7(x2803,a1),f7(x2804,a1),a1),a1),a1),f9(f8(f9(x2801,f7(x2803,a1),a1),a1),f8(f9(x2802,f7(x2804,a1),a1),a1),a1),a1) % 0.67/0.93 [286]~E(f12(x2861),f3(a1))+E(x2861,f3(a1)) % 0.67/0.93 [289]~P36(x2891)+P1(f27(x2891)) % 0.67/0.93 [290]~P36(x2901)+P30(f27(x2901)) % 0.67/0.93 [291]~P13(x2911)+P11(f27(x2911)) % 0.67/0.93 [292]~P36(x2921)+P36(f27(x2921)) % 0.67/0.93 [293]~P36(x2931)+P59(f27(x2931)) % 0.67/0.93 [294]~P52(x2941)+P66(f27(x2941)) % 0.67/0.93 [295]~P48(x2951)+P68(f27(x2951)) % 0.67/0.93 [296]~P54(x2961)+P37(f27(x2961)) % 0.67/0.93 [297]~P50(x2971)+P38(f27(x2971)) % 0.67/0.93 [298]~P48(x2981)+P39(f27(x2981)) % 0.67/0.93 [299]~P54(x2991)+P69(f27(x2991)) % 0.67/0.93 [300]~P36(x3001)+P24(f27(x3001)) % 0.67/0.93 [301]~P36(x3011)+P60(f27(x3011)) % 0.67/0.93 [302]~P36(x3021)+P61(f27(x3021)) % 0.67/0.93 [303]~P48(x3031)+P48(f27(x3031)) % 0.67/0.93 [304]~P36(x3041)+P31(f27(x3041)) % 0.67/0.93 [305]~P36(x3051)+P62(f27(x3051)) % 0.67/0.93 [306]~P54(x3061)+P70(f27(x3061)) % 0.67/0.93 [307]~P13(x3071)+P13(f27(x3071)) % 0.67/0.93 [308]~P54(x3081)+P54(f27(x3081)) % 0.67/0.93 [309]~P53(x3091)+P3(f27(x3091)) % 0.67/0.93 [310]~P36(x3101)+P49(f27(x3101)) % 0.67/0.93 [311]~P36(x3111)+P63(f27(x3111)) % 0.67/0.93 [312]~P36(x3121)+P64(f27(x3121)) % 0.67/0.93 [313]~P36(x3131)+P32(f27(x3131)) % 0.67/0.93 [314]~P15(x3141)+P15(f27(x3141)) % 0.67/0.93 [315]~P50(x3151)+P50(f27(x3151)) % 0.67/0.93 [316]~P4(x3161)+P4(f27(x3161)) % 0.67/0.93 [317]~P36(x3171)+P56(f27(x3171)) % 0.67/0.93 [318]~P36(x3181)+P57(f27(x3181)) % 0.67/0.93 [319]~P48(x3191)+P22(f27(x3191)) % 0.67/0.93 [320]~P36(x3201)+P65(f27(x3201)) % 0.67/0.93 [321]~P50(x3211)+P16(f27(x3211)) % 0.67/0.93 [322]~P50(x3221)+P51(f27(x3221)) % 0.67/0.93 [323]~P36(x3231)+P26(f27(x3231)) % 0.67/0.93 [324]~P36(x3241)+P67(f27(x3241)) % 0.67/0.93 [325]~P36(x3251)+P40(f27(x3251)) % 0.67/0.93 [326]~P36(x3261)+P41(f27(x3261)) % 0.67/0.93 [327]~P15(x3271)+P17(f27(x3271)) % 0.67/0.93 [328]~P50(x3281)+P71(f27(x3281)) % 0.67/0.93 [329]~P36(x3291)+P58(f27(x3291)) % 0.67/0.93 [330]~P21(x3301)+P19(f27(x3301)) % 0.67/0.93 [331]~P21(x3311)+P20(f27(x3311)) % 0.67/0.93 [332]~P48(x3321)+P28(f27(x3321)) % 0.67/0.93 [333]~P15(x3331)+P29(f27(x3331)) % 0.67/0.93 [334]~P36(x3341)+P34(f27(x3341)) % 0.67/0.93 [335]~P36(x3351)+P33(f27(x3351)) % 0.67/0.93 [336]~P21(x3361)+P21(f27(x3361)) % 0.67/0.93 [337]~P52(x3371)+P52(f27(x3371)) % 0.67/0.93 [338]~P53(x3381)+P53(f27(x3381)) % 0.67/0.93 [389]E(f8(x3891,a1),x3891)+P6(x3891,f3(a1),a1) % 0.67/0.93 [431]~E(f12(x4311),f3(a1))+~P6(f3(a1),x4311,a1) % 0.67/0.93 [451]E(f8(x4511,a1),f7(x4511,a1))+~P6(x4511,f3(a1),a1) % 0.67/0.93 [527]~P5(x5271,f3(a1),a1)+P5(f12(x5271),f3(a1),a1) % 0.67/0.93 [528]~P6(x5281,f3(a1),a1)+P6(f12(x5281),f3(a1),a1) % 0.67/0.93 [530]~P5(f3(a1),x5301,a1)+P5(f3(a1),f12(x5301),a1) % 0.67/0.93 [532]~P6(f3(a1),x5321,a1)+P6(f3(a1),f12(x5321),a1) % 0.67/0.93 [533]~P5(f12(x5331),f3(a1),a1)+P5(x5331,f3(a1),a1) % 0.67/0.93 [534]~P6(f12(x5341),f3(a1),a1)+P6(x5341,f3(a1),a1) % 0.67/0.93 [535]~P5(f3(a1),f12(x5351),a1)+P5(f3(a1),x5351,a1) % 0.67/0.93 [536]~P6(f3(a1),f12(x5361),a1)+P6(f3(a1),x5361,a1) % 0.67/0.93 [542]E(x5421,f3(a1))+P6(f3(a1),f11(x5421,x5421,a1),a1) % 0.67/0.93 [340]~P43(x3401)+E(f16(f3(x3401),x3401),f3(a1)) % 0.67/0.93 [342]~P1(x3421)+E(f8(f3(x3421),x3421),f3(x3421)) % 0.67/0.93 [343]~P11(x3431)+E(f7(f3(x3431),x3431),f3(x3431)) % 0.67/0.93 [344]~P26(x3441)+E(f7(f3(x3441),x3441),f3(x3441)) % 0.67/0.93 [345]~P8(x3451)+E(f7(f19(x3451),x3451),f20(x3451)) % 0.67/0.93 [346]~P8(x3461)+E(f7(f20(x3461),x3461),f19(x3461)) % 0.67/0.93 [407]~P23(x4071)+E(f9(f3(x4071),f3(x4071),x4071),f3(x4071)) % 0.67/0.93 [434]~P43(x4341)+P5(f16(f3(x4341),x4341),f3(a1),a1) % 0.67/0.93 [444]~P1(x4441)+P5(f8(f3(x4441),x4441),f3(x4441),x4441) % 0.67/0.93 [537]~P43(x5371)+~P6(f3(a1),f16(f3(x5371),x5371),a1) % 0.67/0.93 [541]~P1(x5411)+~P6(f3(x5411),f8(f3(x5411),x5411),x5411) % 0.67/0.93 [429]~P4(x4291)+E(f24(f3(x4291),f3(f27(x4291)),x4291),f3(f27(x4291))) % 0.67/0.93 [761]~P60(x7611)+E(f9(f11(f3(x7611),f3(x7611),x7611),f11(f3(x7611),f3(x7611),x7611),x7611),f3(x7611)) % 0.67/0.93 [1007]~P60(x10071)+P5(f9(f11(f3(x10071),f3(x10071),x10071),f11(f3(x10071),f3(x10071),x10071),x10071),f3(x10071),x10071) % 0.67/0.93 [1021]P73(a5000)+~P5(f16(f18(a30,x10211,a2),a2),f16(f18(a30,f34(x10211,a30),a2),a2),a1) % 0.67/0.93 [1022]P73(a5000)+~P5(f16(f18(a30,x10221,a2),a2),f16(f18(a30,f26(a35,x10221),a2),a2),a1) % 0.67/0.93 [1029]~P60(x10291)+~P6(f3(x10291),f9(f11(f3(x10291),f3(x10291),x10291),f11(f3(x10291),f3(x10291),x10291),x10291),x10291) % 0.67/0.93 [365]~P40(x3652)+P5(x3651,x3651,x3652) % 0.67/0.93 [366]~P41(x3662)+P5(x3661,x3661,x3662) % 0.67/0.93 [424]~P6(x4242,x4242,x4241)+~P30(x4241) % 0.67/0.93 [425]~P6(x4252,x4252,x4251)+~P40(x4251) % 0.67/0.93 [426]~P6(x4262,x4262,x4261)+~P41(x4261) % 0.67/0.93 [445]P5(x4452,x4451,a1)+P5(x4451,x4452,a1) % 0.67/0.93 [486]~P6(x4861,x4862,a1)+P5(x4861,x4862,a1) % 0.67/0.93 [287]E(x2871,x2872)+~E(f12(x2871),f12(x2872)) % 0.67/0.93 [288]E(x2881,x2882)+~E(f4(x2881),f4(x2882)) % 0.67/0.93 [352]E(x3521,x3522)+~E(f25(x3521,a1),f25(x3522,a1)) % 0.67/0.93 [367]~P12(x3672)+E(f13(x3671,x3671,x3672),x3671) % 0.67/0.93 [368]~P14(x3682)+E(f14(x3681,x3681,x3682),x3681) % 0.67/0.93 [369]~P30(x3692)+E(f21(x3691,x3691,x3692),x3691) % 0.67/0.93 [370]~P30(x3702)+E(f22(x3701,x3701,x3702),x3701) % 0.67/0.93 [371]~P18(x3712)+E(f11(x3711,x3711,x3712),x3711) % 0.67/0.93 [373]~P11(x3732)+E(f10(x3731,x3731,x3732),f3(x3732)) % 0.67/0.93 [374]~P13(x3742)+E(f10(x3741,x3741,x3742),f3(x3742)) % 0.67/0.93 [375]~P42(x3752)+P5(x3751,f19(x3752),x3752) % 0.67/0.93 [376]~P35(x3761)+P5(f20(x3761),x3762,x3761) % 0.67/0.93 [412]~P1(x4122)+P5(x4121,f8(x4121,x4122),x4122) % 0.67/0.93 [413]~P43(x4132)+P5(f3(a1),f16(x4131,x4132),a1) % 0.67/0.93 [427]~P1(x4271)+P5(f3(x4271),f8(x4272,x4271),x4271) % 0.67/0.93 [432]E(x4321,f7(x4322,a1))+~E(f9(x4322,x4321,a1),f3(a1)) % 0.67/0.93 [452]~P1(x4522)+P5(f7(x4521,x4522),f8(x4521,x4522),x4522) % 0.67/0.93 [485]~P43(x4851)+~P6(f16(x4852,x4851),f3(a1),a1) % 0.67/0.93 [496]~P1(x4961)+~P6(f8(x4962,x4961),f3(x4961),x4961) % 0.67/0.93 [511]~P5(x5111,x5112,a1)+P5(f12(x5111),f12(x5112),a1) % 0.67/0.93 [512]~P5(x5121,x5122,a1)+P5(f15(x5121),f15(x5122),a1) % 0.67/0.93 [513]~P6(x5131,x5132,a1)+P6(f12(x5131),f12(x5132),a1) % 0.67/0.93 [514]~P6(x5141,x5142,a1)+P6(f15(x5141),f15(x5142),a1) % 0.67/0.93 [538]P5(x5381,x5382,a1)+~P5(f12(x5381),f12(x5382),a1) % 0.67/0.93 [539]P6(x5391,x5392,a1)+~P6(f12(x5391),f12(x5392),a1) % 0.67/0.93 [568]P5(x5681,x5682,a1)+~P5(f8(x5681,a1),x5682,a1) % 0.67/0.93 [569]~P60(x5691)+P5(f3(x5691),f11(x5692,x5692,x5691),x5691) % 0.67/0.93 [589]~P5(x5891,x5892,a1)+P5(f25(x5891,a1),f25(x5892,a1),a1) % 0.67/0.93 [590]~P6(x5901,x5902,a1)+P6(f25(x5901,a1),f25(x5902,a1),a1) % 0.67/0.93 [611]~P5(f8(x6112,a1),x6111,a1)+P5(f7(x6111,a1),x6112,a1) % 0.67/0.93 [630]P5(x6301,x6302,a1)+~P5(f25(x6301,a1),f25(x6302,a1),a1) % 0.67/0.93 [631]P6(x6311,x6312,a1)+~P6(f25(x6311,a1),f25(x6312,a1),a1) % 0.67/0.93 [673]~P5(x6731,x6732,a1)+P5(f10(x6731,x6732,a1),f3(a1),a1) % 0.67/0.93 [712]~P60(x7121)+~P6(f11(x7122,x7122,x7121),f3(x7121),x7121) % 0.67/0.93 [714]~P5(f7(x7141,a1),x7142,a1)+P5(f3(a1),f9(x7141,x7142,a1),a1) % 0.67/0.93 [715]~P6(f7(x7151,a1),x7152,a1)+P6(f3(a1),f9(x7151,x7152,a1),a1) % 0.67/0.93 [716]~P5(x7162,f7(x7161,a1),a1)+P5(f9(x7161,x7162,a1),f3(a1),a1) % 0.67/0.93 [717]~P6(x7172,f7(x7171,a1),a1)+P6(f9(x7171,x7172,a1),f3(a1),a1) % 0.67/0.93 [730]P5(x7301,x7302,a1)+~P5(f10(x7301,x7302,a1),f3(a1),a1) % 0.67/0.93 [757]P5(x7571,f7(x7572,a1),a1)+~P5(f9(x7572,x7571,a1),f3(a1),a1) % 0.67/0.93 [758]P6(x7581,f7(x7582,a1),a1)+~P6(f9(x7582,x7581,a1),f3(a1),a1) % 0.67/0.93 [759]P5(f7(x7591,a1),x7592,a1)+~P5(f3(a1),f9(x7591,x7592,a1),a1) % 0.67/0.93 [760]P6(f7(x7601,a1),x7602,a1)+~P6(f3(a1),f9(x7601,x7602,a1),a1) % 0.67/0.93 [357]~P11(x3572)+E(f7(f7(x3571,x3572),x3572),x3571) % 0.67/0.93 [358]~P8(x3582)+E(f7(f7(x3581,x3582),x3582),x3581) % 0.67/0.93 [361]~P43(x3612)+E(f8(f16(x3611,x3612),a1),f16(x3611,x3612)) % 0.67/0.93 [362]~P1(x3622)+E(f8(f8(x3621,x3622),x3622),f8(x3621,x3622)) % 0.67/0.93 [363]~P1(x3632)+E(f8(f7(x3631,x3632),x3632),f8(x3631,x3632)) % 0.67/0.93 [364]~P43(x3642)+E(f16(f7(x3641,x3642),x3642),f16(x3641,x3642)) % 0.67/0.93 [377]~P9(x3772)+E(f13(x3771,f19(x3772),x3772),x3771) % 0.67/0.93 [378]~P9(x3782)+E(f14(x3781,f20(x3782),x3782),x3781) % 0.67/0.93 [379]~P48(x3792)+E(f9(x3791,f3(x3792),x3792),x3791) % 0.67/0.93 [380]~P15(x3802)+E(f9(x3801,f3(x3802),x3802),x3801) % 0.67/0.93 [381]~P29(x3812)+E(f9(x3811,f3(x3812),x3812),x3811) % 0.67/0.93 [382]~P11(x3822)+E(f10(x3821,f3(x3822),x3822),x3821) % 0.67/0.93 [383]~P9(x3831)+E(f13(f19(x3831),x3832,x3831),x3832) % 0.67/0.93 [384]~P9(x3841)+E(f14(f20(x3841),x3842,x3841),x3842) % 0.67/0.93 [386]~P48(x3861)+E(f9(f3(x3861),x3862,x3861),x3862) % 0.67/0.93 [387]~P15(x3871)+E(f9(f3(x3871),x3872,x3871),x3872) % 0.67/0.93 [388]~P29(x3881)+E(f9(f3(x3881),x3882,x3881),x3882) % 0.67/0.93 [390]~P9(x3902)+E(f13(x3901,f20(x3902),x3902),f20(x3902)) % 0.67/0.93 [391]~P9(x3912)+E(f14(x3911,f19(x3912),x3912),f19(x3912)) % 0.67/0.93 [392]~P38(x3922)+E(f11(x3921,f3(x3922),x3922),f3(x3922)) % 0.67/0.93 [393]~P48(x3932)+E(f11(x3931,f3(x3932),x3932),f3(x3932)) % 0.67/0.93 [394]~P70(x3942)+E(f11(x3941,f3(x3942),x3942),f3(x3942)) % 0.67/0.93 [396]~P44(x3962)+E(f11(x3961,f3(x3962),x3962),f3(x3962)) % 0.67/0.93 [397]~P9(x3971)+E(f13(f20(x3971),x3972,x3971),f20(x3971)) % 0.67/0.93 [398]~P9(x3981)+E(f14(f19(x3981),x3982,x3981),f19(x3981)) % 0.67/0.93 [399]~P38(x3991)+E(f11(f3(x3991),x3992,x3991),f3(x3991)) % 0.67/0.93 [401]~P48(x4011)+E(f11(f3(x4011),x4012,x4011),f3(x4011)) % 0.67/0.93 [402]~P70(x4021)+E(f11(f3(x4021),x4022,x4021),f3(x4021)) % 0.67/0.93 [404]~P44(x4041)+E(f11(f3(x4041),x4042,x4041),f3(x4041)) % 0.67/0.93 [408]~P11(x4081)+E(f10(f3(x4081),x4082,x4081),f7(x4082,x4081)) % 0.67/0.93 [416]~P8(x4162)+E(f13(x4161,f7(x4161,x4162),x4162),f20(x4162)) % 0.67/0.93 [417]~P8(x4172)+E(f14(x4171,f7(x4171,x4172),x4172),f19(x4172)) % 0.67/0.93 [418]~P11(x4182)+E(f9(x4181,f7(x4181,x4182),x4182),f3(x4182)) % 0.67/0.93 [419]~P8(x4192)+E(f13(f7(x4191,x4192),x4191,x4192),f20(x4192)) % 0.67/0.93 [420]~P8(x4202)+E(f14(f7(x4201,x4202),x4201,x4202),f19(x4202)) % 0.67/0.93 [422]~P11(x4222)+E(f9(f7(x4221,x4222),x4221,x4222),f3(x4222)) % 0.67/0.93 [423]~P13(x4232)+E(f9(f7(x4231,x4232),x4231,x4232),f3(x4232)) % 0.67/0.93 [433]~P10(x4332)+E(f14(x4331,f7(x4331,x4332),x4332),f8(x4331,x4332)) % 0.67/0.93 [480]E(x4801,x4802)+~E(f9(x4801,f7(x4802,a1),a1),f3(a1)) % 0.67/0.93 [499]~P1(x4992)+P5(f7(f8(x4991,x4992),x4992),f3(x4992),x4992) % 0.67/0.93 [544]~P36(x5442)+E(f11(f8(x5441,x5442),f8(x5441,x5442),x5442),f11(x5441,x5441,x5442)) % 0.67/0.93 [546]~P54(x5462)+E(f11(f7(x5461,x5462),f7(x5461,x5462),x5462),f11(x5461,x5461,x5462)) % 0.67/0.93 [702]E(x7021,f3(a1))+~E(f11(x7022,x7022,a1),f7(f11(x7021,x7021,a1),a1)) % 0.67/0.93 [703]E(x7031,f3(a1))+~E(f11(x7031,x7031,a1),f7(f11(x7032,x7032,a1),a1)) % 0.67/0.93 [721]~P6(x7212,x7211,a1)+P6(f3(a1),f9(x7211,f7(x7212,a1),a1),a1) % 0.67/0.93 [860]P6(x8601,x8602,a1)+~P6(f3(a1),f9(x8602,f7(x8601,a1),a1),a1) % 0.67/0.93 [870]E(x8701,f3(a1))+~E(f9(f11(x8702,x8702,a1),f11(x8701,x8701,a1),a1),f3(a1)) % 0.67/0.93 [871]E(x8711,f3(a1))+~E(f9(f11(x8711,x8711,a1),f11(x8712,x8712,a1),a1),f3(a1)) % 0.67/0.93 [978]E(x9781,f3(a1))+P6(f3(a1),f9(f11(x9782,x9782,a1),f11(x9781,x9781,a1),a1),a1) % 0.67/0.93 [979]E(x9791,f3(a1))+P6(f3(a1),f9(f11(x9791,x9791,a1),f11(x9792,x9792,a1),a1),a1) % 0.67/0.93 [410]~P54(x4101)+E(f18(f3(f27(x4101)),x4102,x4101),f3(x4101)) % 0.67/0.93 [411]~P50(x4111)+E(f18(f3(f27(x4111)),x4112,x4111),f3(x4111)) % 0.67/0.93 [414]~P50(x4141)+E(f23(f3(f27(x4141)),x4142,x4141),f3(f27(x4141))) % 0.67/0.93 [456]~P2(x4563)+E(f13(x4561,x4562,x4563),f13(x4562,x4561,x4563)) % 0.67/0.93 [457]~P12(x4573)+E(f13(x4571,x4572,x4573),f13(x4572,x4571,x4573)) % 0.67/0.93 [458]~P2(x4583)+E(f14(x4581,x4582,x4583),f14(x4582,x4581,x4583)) % 0.67/0.93 [459]~P14(x4593)+E(f14(x4591,x4592,x4593),f14(x4592,x4591,x4593)) % 0.67/0.93 [460]~P30(x4603)+E(f21(x4601,x4602,x4603),f21(x4602,x4601,x4603)) % 0.67/0.93 [462]~P48(x4623)+E(f9(x4621,x4622,x4623),f9(x4622,x4621,x4623)) % 0.67/0.93 [463]~P15(x4633)+E(f9(x4631,x4632,x4633),f9(x4632,x4631,x4633)) % 0.67/0.93 [464]~P30(x4643)+E(f22(x4641,x4642,x4643),f22(x4642,x4641,x4643)) % 0.67/0.93 [466]~P48(x4663)+E(f11(x4661,x4662,x4663),f11(x4662,x4661,x4663)) % 0.67/0.93 [547]~P2(x5473)+P5(x5471,f14(x5472,x5471,x5473),x5473) % 0.67/0.93 [548]~P14(x5483)+P5(x5481,f14(x5482,x5481,x5483),x5483) % 0.67/0.93 [549]~P2(x5493)+P5(x5491,f14(x5491,x5492,x5493),x5493) % 0.67/0.93 [550]~P14(x5503)+P5(x5501,f14(x5501,x5502,x5503),x5503) % 0.67/0.93 [551]~P30(x5513)+P5(x5511,f22(x5512,x5511,x5513),x5513) % 0.67/0.93 [552]~P30(x5523)+P5(x5521,f22(x5521,x5522,x5523),x5523) % 0.67/0.93 [553]~P2(x5533)+P5(f13(x5531,x5532,x5533),x5532,x5533) % 0.67/0.93 [554]~P12(x5543)+P5(f13(x5541,x5542,x5543),x5542,x5543) % 0.67/0.93 [555]~P2(x5553)+P5(f13(x5551,x5552,x5553),x5551,x5553) % 0.67/0.93 [556]~P12(x5563)+P5(f13(x5561,x5562,x5563),x5561,x5563) % 0.67/0.93 [557]~P30(x5573)+P5(f21(x5571,x5572,x5573),x5572,x5573) % 0.67/0.93 [558]~P30(x5583)+P5(f21(x5581,x5582,x5583),x5581,x5583) % 0.67/0.93 [815]~P5(x8152,x8153,a1)+P5(f9(x8151,x8152,a1),f9(x8151,x8153,a1),a1) % 0.67/0.93 [490]~P8(x4903)+E(f13(x4901,f7(x4902,x4903),x4903),f10(x4901,x4902,x4903)) % 0.67/0.93 [491]~P11(x4913)+E(f9(x4911,f7(x4912,x4913),x4913),f10(x4911,x4912,x4913)) % 0.67/0.93 [493]~P13(x4933)+E(f9(x4931,f7(x4932,x4933),x4933),f10(x4931,x4932,x4933)) % 0.67/0.93 [494]~P3(x4943)+E(f9(x4941,f7(x4942,x4943),x4943),f10(x4941,x4942,x4943)) % 0.67/0.93 [495]~P11(x4953)+E(f10(x4951,f7(x4952,x4953),x4953),f9(x4951,x4952,x4953)) % 0.67/0.93 [543]~P66(x5432)+E(f11(f7(x5431,x5432),x5433,x5432),f11(x5431,f7(x5433,x5432),x5432)) % 0.67/0.93 [545]~P66(x5452)+E(f11(f7(x5451,x5452),f7(x5453,x5452),x5452),f11(x5451,x5453,x5452)) % 0.67/0.93 [559]~P2(x5593)+E(f13(x5591,f14(x5591,x5592,x5593),x5593),x5591) % 0.67/0.93 [560]~P2(x5603)+E(f14(x5601,f13(x5601,x5602,x5603),x5603),x5601) % 0.67/0.93 [561]~P30(x5613)+E(f21(x5611,f22(x5611,x5612,x5613),x5613),x5611) % 0.67/0.93 [562]~P30(x5623)+E(f22(x5621,f21(x5621,x5622,x5623),x5623),x5621) % 0.67/0.93 [563]~P11(x5633)+E(f9(f10(x5631,x5632,x5633),x5632,x5633),x5631) % 0.67/0.93 [564]~P11(x5643)+E(f10(f9(x5641,x5642,x5643),x5642,x5643),x5641) % 0.67/0.93 [588]~P13(x5883)+E(f7(f10(x5881,x5882,x5883),x5883),f10(x5882,x5881,x5883)) % 0.67/0.93 [609]~P13(x6092)+E(f9(f7(x6091,x6092),f9(x6093,x6091,x6092),x6092),x6093) % 0.67/0.93 [610]~P11(x6102)+E(f9(f7(x6101,x6102),f9(x6101,x6103,x6102),x6102),x6103) % 0.67/0.93 [621]~P46(x6213)+E(f16(f17(x6211,x6212,x6213),x6213),f17(f16(x6211,x6213),x6212,a1)) % 0.67/0.93 [623]~P66(x6233)+E(f11(x6231,f7(x6232,x6233),x6233),f7(f11(x6231,x6232,x6233),x6233)) % 0.67/0.93 [624]~P36(x6242)+E(f17(f8(x6241,x6242),x6243,x6242),f8(f17(x6241,x6243,x6242),x6242)) % 0.67/0.93 [625]~P66(x6252)+E(f11(f7(x6251,x6252),x6253,x6252),f7(f11(x6251,x6253,x6252),x6252)) % 0.67/0.93 [627]~P44(x6273)+E(f11(x6271,f7(x6272,x6273),x6273),f7(f11(x6271,x6272,x6273),x6273)) % 0.67/0.93 [629]~P44(x6292)+E(f11(f7(x6291,x6292),x6293,x6292),f7(f11(x6291,x6293,x6292),x6292)) % 0.67/0.93 [644]~P2(x6443)+E(f13(x6441,f13(x6441,x6442,x6443),x6443),f13(x6441,x6442,x6443)) % 0.67/0.93 [645]~P12(x6453)+E(f13(x6451,f13(x6451,x6452,x6453),x6453),f13(x6451,x6452,x6453)) % 0.67/0.93 [646]~P2(x6463)+E(f14(x6461,f14(x6461,x6462,x6463),x6463),f14(x6461,x6462,x6463)) % 0.67/0.93 [647]~P14(x6473)+E(f14(x6471,f14(x6471,x6472,x6473),x6473),f14(x6471,x6472,x6473)) % 0.67/0.93 [648]~P30(x6483)+E(f21(x6481,f21(x6481,x6482,x6483),x6483),f21(x6481,x6482,x6483)) % 0.67/0.93 [649]~P30(x6493)+E(f22(x6491,f22(x6491,x6492,x6493),x6493),f22(x6491,x6492,x6493)) % 0.67/0.93 [650]~P18(x6503)+E(f11(x6501,f11(x6501,x6502,x6503),x6503),f11(x6501,x6502,x6503)) % 0.67/0.93 [651]~P36(x6511)+P5(f3(x6511),f17(f8(x6512,x6511),x6513,x6511),x6511) % 0.67/0.93 [654]~P46(x6542)+E(f11(f16(x6541,x6542),f16(x6543,x6542),a1),f16(f11(x6541,x6543,x6542),x6542)) % 0.67/0.93 [655]~P36(x6552)+E(f11(f8(x6551,x6552),f8(x6553,x6552),x6552),f8(f11(x6551,x6553,x6552),x6552)) % 0.67/0.93 [656]~P8(x6562)+E(f14(f7(x6561,x6562),f7(x6563,x6562),x6562),f7(f13(x6561,x6563,x6562),x6562)) % 0.67/0.93 [657]~P23(x6572)+E(f14(f7(x6571,x6572),f7(x6573,x6572),x6572),f7(f13(x6571,x6573,x6572),x6572)) % 0.67/0.93 [658]~P8(x6582)+E(f13(f7(x6581,x6582),f7(x6583,x6582),x6582),f7(f14(x6581,x6583,x6582),x6582)) % 0.67/0.93 [659]~P23(x6592)+E(f13(f7(x6591,x6592),f7(x6593,x6592),x6592),f7(f14(x6591,x6593,x6592),x6592)) % 0.67/0.93 [660]~P11(x6602)+E(f9(f7(x6601,x6602),f7(x6603,x6602),x6602),f7(f9(x6603,x6601,x6602),x6602)) % 0.67/0.93 [661]~P13(x6612)+E(f9(f7(x6611,x6612),f7(x6613,x6612),x6612),f7(f9(x6611,x6613,x6612),x6612)) % 0.67/0.93 [662]~P13(x6622)+E(f10(f7(x6621,x6622),f7(x6623,x6622),x6622),f7(f10(x6621,x6623,x6622),x6622)) % 0.67/0.93 [674]~P1(x6743)+E(f8(f10(x6741,x6742,x6743),x6743),f8(f10(x6742,x6741,x6743),x6743)) % 0.67/0.93 [675]~P43(x6753)+E(f16(f10(x6751,x6752,x6753),x6753),f16(f10(x6752,x6751,x6753),x6753)) % 0.67/0.93 [762]~P23(x7623)+E(f9(f14(x7621,x7622,x7623),f13(x7621,x7622,x7623),x7623),f9(x7621,x7622,x7623)) % 0.67/0.93 [788]~P28(x7883)+E(f11(f17(x7881,x7882,x7883),x7881,x7883),f11(x7881,f17(x7881,x7882,x7883),x7883)) % 0.67/0.93 [878]~P5(f16(x8782,a2),x8783,a1)+P5(f16(f18(x8781,x8782,a2),a2),f28(x8781,x8783),a1) % 0.67/0.93 [924]~P47(x9243)+P5(f16(f17(x9241,x9242,x9243),x9243),f17(f16(x9241,x9243),x9242,a1),a1) % 0.67/0.93 [950]~P43(x9503)+P5(f16(f9(x9501,x9502,x9503),x9503),f9(f16(x9501,x9503),f16(x9502,x9503),a1),a1) % 0.67/0.93 [951]~P44(x9513)+P5(f16(f11(x9511,x9512,x9513),x9513),f11(f16(x9511,x9513),f16(x9512,x9513),a1),a1) % 0.67/0.93 [952]~P43(x9523)+P5(f16(f10(x9521,x9522,x9523),x9523),f9(f16(x9521,x9523),f16(x9522,x9523),a1),a1) % 0.67/0.93 [953]~P43(x9532)+P5(f10(f16(x9531,x9532),f16(x9533,x9532),a1),f16(f9(x9531,x9533,x9532),x9532),a1) % 0.67/0.93 [954]~P43(x9542)+P5(f10(f16(x9541,x9542),f16(x9543,x9542),a1),f16(f10(x9541,x9543,x9542),x9542),a1) % 0.67/0.93 [956]~P1(x9563)+P5(f8(f9(x9561,x9562,x9563),x9563),f9(f8(x9561,x9563),f8(x9562,x9563),x9563),x9563) % 0.67/0.93 [957]~P55(x9573)+P5(f8(f11(x9571,x9572,x9573),x9573),f11(f8(x9571,x9573),f8(x9572,x9573),x9573),x9573) % 0.67/0.93 [958]~P1(x9583)+P5(f8(f10(x9581,x9582,x9583),x9583),f9(f8(x9581,x9583),f8(x9582,x9583),x9583),x9583) % 0.67/0.93 [959]~P1(x9592)+P5(f10(f8(x9591,x9592),f8(x9593,x9592),x9592),f8(f10(x9591,x9593,x9592),x9592),x9592) % 0.67/0.93 [991]~P60(x9911)+P5(f3(x9911),f9(f11(x9912,x9912,x9911),f11(x9913,x9913,x9911),x9911),x9911) % 0.67/0.93 [1023]~P60(x10231)+~P6(f9(f11(x10232,x10232,x10231),f11(x10233,x10233,x10231),x10231),f3(x10231),x10231) % 0.67/0.93 [643]~P11(x6432)+E(f9(x6431,f9(f7(x6431,x6432),x6433,x6432),x6432),x6433) % 0.67/0.93 [719]~P23(x7192)+E(f7(f14(f7(x7191,x7192),f7(x7193,x7192),x7192),x7192),f13(x7191,x7193,x7192)) % 0.67/0.93 [720]~P23(x7202)+E(f7(f13(f7(x7201,x7202),f7(x7203,x7202),x7202),x7202),f14(x7201,x7203,x7202)) % 0.67/0.93 [724]~P36(x7242)+E(f8(f17(f7(x7241,x7242),x7243,x7242),x7242),f8(f17(x7241,x7243,x7242),x7242)) % 0.67/0.93 [800]~P1(x8002)+E(f8(f9(f8(x8001,x8002),f8(x8003,x8002),x8002),x8002),f9(f8(x8001,x8002),f8(x8003,x8002),x8002)) % 0.67/0.93 [1008]~P5(f16(x10083,a2),x10082,a1)+P5(f16(f18(x10081,f33(x10081,x10082),a2),a2),f16(f18(x10081,x10083,a2),a2),a1) % 0.67/0.93 [1009]~P43(x10092)+P5(f8(f10(f16(x10091,x10092),f16(x10093,x10092),a1),a1),f16(f10(x10091,x10093,x10092),x10092),a1) % 0.67/0.93 [1010]~P1(x10102)+P5(f8(f10(f8(x10101,x10102),f8(x10103,x10102),x10102),x10102),f8(f10(x10101,x10103,x10102),x10102),x10102) % 0.67/0.93 [763]~P2(x7634)+E(f13(x7631,f13(x7632,x7633,x7634),x7634),f13(x7632,f13(x7631,x7633,x7634),x7634)) % 0.67/0.93 [764]~P12(x7644)+E(f13(x7641,f13(x7642,x7643,x7644),x7644),f13(x7642,f13(x7641,x7643,x7644),x7644)) % 0.67/0.93 [765]~P2(x7654)+E(f14(x7651,f14(x7652,x7653,x7654),x7654),f14(x7652,f14(x7651,x7653,x7654),x7654)) % 0.67/0.93 [766]~P14(x7664)+E(f14(x7661,f14(x7662,x7663,x7664),x7664),f14(x7662,f14(x7661,x7663,x7664),x7664)) % 0.67/0.93 [767]~P30(x7674)+E(f21(x7671,f21(x7672,x7673,x7674),x7674),f21(x7672,f21(x7671,x7673,x7674),x7674)) % 0.67/0.93 [768]~P48(x7684)+E(f9(x7681,f9(x7682,x7683,x7684),x7684),f9(x7682,f9(x7681,x7683,x7684),x7684)) % 0.67/0.93 [769]~P13(x7694)+E(f9(x7691,f9(x7692,x7693,x7694),x7694),f9(x7692,f9(x7691,x7693,x7694),x7694)) % 0.67/0.93 [770]~P15(x7704)+E(f9(x7701,f9(x7702,x7703,x7704),x7704),f9(x7702,f9(x7701,x7703,x7704),x7704)) % 0.67/0.93 [771]~P30(x7714)+E(f22(x7711,f22(x7712,x7713,x7714),x7714),f22(x7712,f22(x7711,x7713,x7714),x7714)) % 0.67/0.93 [772]~P48(x7724)+E(f11(x7721,f11(x7722,x7723,x7724),x7724),f11(x7722,f11(x7721,x7723,x7724),x7724)) % 0.67/0.93 [777]~P2(x7773)+E(f13(f13(x7771,x7772,x7773),x7774,x7773),f13(x7771,f13(x7772,x7774,x7773),x7773)) % 0.67/0.93 [778]~P12(x7783)+E(f13(f13(x7781,x7782,x7783),x7784,x7783),f13(x7781,f13(x7782,x7784,x7783),x7783)) % 0.67/0.93 [779]~P2(x7793)+E(f14(f14(x7791,x7792,x7793),x7794,x7793),f14(x7791,f14(x7792,x7794,x7793),x7793)) % 0.67/0.93 [780]~P14(x7803)+E(f14(f14(x7801,x7802,x7803),x7804,x7803),f14(x7801,f14(x7802,x7804,x7803),x7803)) % 0.67/0.93 [781]~P30(x7813)+E(f21(f21(x7811,x7812,x7813),x7814,x7813),f21(x7811,f21(x7812,x7814,x7813),x7813)) % 0.67/0.93 [782]~P48(x7823)+E(f9(f9(x7821,x7822,x7823),x7824,x7823),f9(x7821,f9(x7822,x7824,x7823),x7823)) % 0.67/0.93 [783]~P15(x7833)+E(f9(f9(x7831,x7832,x7833),x7834,x7833),f9(x7831,f9(x7832,x7834,x7833),x7833)) % 0.67/0.93 [784]~P17(x7843)+E(f9(f9(x7841,x7842,x7843),x7844,x7843),f9(x7841,f9(x7842,x7844,x7843),x7843)) % 0.67/0.93 [785]~P30(x7853)+E(f22(f22(x7851,x7852,x7853),x7854,x7853),f22(x7851,f22(x7852,x7854,x7853),x7853)) % 0.67/0.93 [786]~P48(x7863)+E(f11(f11(x7861,x7862,x7863),x7864,x7863),f11(x7861,f11(x7862,x7864,x7863),x7863)) % 0.67/0.93 [787]~P16(x7873)+E(f11(f11(x7871,x7872,x7873),x7874,x7873),f11(x7871,f11(x7872,x7874,x7873),x7873)) % 0.67/0.93 [789]~P50(x7893)+E(f18(f23(x7891,x7892,x7893),x7894,x7893),f18(x7891,f18(x7892,x7894,x7893),x7893)) % 0.67/0.93 [790]~P48(x7903)+E(f9(f9(x7901,x7902,x7903),x7904,x7903),f9(f9(x7901,x7904,x7903),x7902,x7903)) % 0.67/0.93 [791]~P48(x7913)+E(f11(f11(x7911,x7912,x7913),x7914,x7913),f11(f11(x7911,x7914,x7913),x7912,x7913)) % 0.67/0.93 [883]~P7(x8833)+E(f14(f13(x8831,x8832,x8833),f13(x8831,x8834,x8833),x8833),f13(x8831,f14(x8832,x8834,x8833),x8833)) % 0.67/0.93 [884]~P7(x8843)+E(f13(f14(x8841,x8842,x8843),f14(x8841,x8844,x8843),x8843),f14(x8841,f13(x8842,x8844,x8843),x8843)) % 0.67/0.93 [885]~P30(x8853)+E(f22(f21(x8851,x8852,x8853),f21(x8851,x8854,x8853),x8853),f21(x8851,f22(x8852,x8854,x8853),x8853)) % 0.67/0.93 [886]~P23(x8863)+E(f13(f9(x8861,x8862,x8863),f9(x8861,x8864,x8863),x8863),f9(x8861,f13(x8862,x8864,x8863),x8863)) % 0.67/0.93 [887]~P27(x8873)+E(f13(f9(x8871,x8872,x8873),f9(x8871,x8874,x8873),x8873),f9(x8871,f13(x8872,x8874,x8873),x8873)) % 0.67/0.93 [888]~P23(x8883)+E(f14(f9(x8881,x8882,x8883),f9(x8881,x8884,x8883),x8883),f9(x8881,f14(x8882,x8884,x8883),x8883)) % 0.67/0.93 [889]~P25(x8893)+E(f14(f9(x8891,x8892,x8893),f9(x8891,x8894,x8893),x8893),f9(x8891,f14(x8892,x8894,x8893),x8893)) % 0.67/0.93 [890]~P30(x8903)+E(f21(f22(x8901,x8902,x8903),f22(x8901,x8904,x8903),x8903),f22(x8901,f21(x8902,x8904,x8903),x8903)) % 0.67/0.93 [891]~P48(x8913)+E(f9(f11(x8911,x8912,x8913),f11(x8911,x8914,x8913),x8913),f11(x8911,f9(x8912,x8914,x8913),x8913)) % 0.67/0.93 [893]~P44(x8933)+E(f9(f11(x8931,x8932,x8933),f11(x8931,x8934,x8933),x8933),f11(x8931,f9(x8932,x8934,x8933),x8933)) % 0.67/0.93 [895]~P44(x8953)+E(f10(f11(x8951,x8952,x8953),f11(x8951,x8954,x8953),x8953),f11(x8951,f10(x8952,x8954,x8953),x8953)) % 0.67/0.93 [896]~P7(x8963)+E(f14(f13(x8961,x8962,x8963),f13(x8964,x8962,x8963),x8963),f13(f14(x8961,x8964,x8963),x8962,x8963)) % 0.67/0.93 [897]~P7(x8973)+E(f13(f14(x8971,x8972,x8973),f14(x8974,x8972,x8973),x8973),f14(f13(x8971,x8974,x8973),x8972,x8973)) % 0.67/0.93 [898]~P30(x8983)+E(f22(f21(x8981,x8982,x8983),f21(x8984,x8982,x8983),x8983),f21(f22(x8981,x8984,x8983),x8982,x8983)) % 0.67/0.93 [899]~P23(x8993)+E(f13(f9(x8991,x8992,x8993),f9(x8994,x8992,x8993),x8993),f9(f13(x8991,x8994,x8993),x8992,x8993)) % 0.67/0.93 [900]~P27(x9003)+E(f13(f9(x9001,x9002,x9003),f9(x9004,x9002,x9003),x9003),f9(f13(x9001,x9004,x9003),x9002,x9003)) % 0.67/0.93 [901]~P23(x9013)+E(f14(f9(x9011,x9012,x9013),f9(x9014,x9012,x9013),x9013),f9(f14(x9011,x9014,x9013),x9012,x9013)) % 0.67/0.93 [902]~P25(x9023)+E(f14(f9(x9021,x9022,x9023),f9(x9024,x9022,x9023),x9023),f9(f14(x9021,x9024,x9023),x9022,x9023)) % 0.67/0.93 [903]~P32(x9033)+E(f21(f9(x9031,x9032,x9033),f9(x9034,x9032,x9033),x9033),f9(f21(x9031,x9034,x9033),x9032,x9033)) % 0.67/0.93 [904]~P32(x9043)+E(f22(f9(x9041,x9042,x9043),f9(x9044,x9042,x9043),x9043),f9(f22(x9041,x9044,x9043),x9042,x9043)) % 0.67/0.93 [905]~P30(x9053)+E(f21(f22(x9051,x9052,x9053),f22(x9054,x9052,x9053),x9053),f22(f21(x9051,x9054,x9053),x9052,x9053)) % 0.67/0.93 [908]~P44(x9083)+E(f9(f11(x9081,x9082,x9083),f11(x9084,x9082,x9083),x9083),f11(f9(x9081,x9084,x9083),x9082,x9083)) % 0.67/0.93 [909]~P51(x9093)+E(f9(f11(x9091,x9092,x9093),f11(x9094,x9092,x9093),x9093),f11(f9(x9091,x9094,x9093),x9092,x9093)) % 0.67/0.93 [911]~P44(x9113)+E(f10(f11(x9111,x9112,x9113),f11(x9114,x9112,x9113),x9113),f11(f10(x9111,x9114,x9113),x9112,x9113)) % 0.67/0.93 [912]~P48(x9123)+E(f11(f17(x9121,x9122,x9123),f17(x9124,x9122,x9123),x9123),f17(f11(x9121,x9124,x9123),x9122,x9123)) % 0.67/0.93 [913]~P22(x9133)+E(f11(f17(x9131,x9132,x9133),f17(x9134,x9132,x9133),x9133),f17(f11(x9131,x9134,x9133),x9132,x9133)) % 0.67/0.93 [914]~P24(x9143)+E(f21(f10(x9141,x9142,x9143),f10(x9144,x9142,x9143),x9143),f10(f21(x9141,x9144,x9143),x9142,x9143)) % 0.67/0.93 [915]~P24(x9153)+E(f22(f10(x9151,x9152,x9153),f10(x9154,x9152,x9153),x9153),f10(f22(x9151,x9154,x9153),x9152,x9153)) % 0.67/0.93 [916]~P48(x9163)+E(f9(f11(x9161,x9162,x9163),f11(x9164,x9162,x9163),x9163),f11(f9(x9161,x9164,x9163),x9162,x9163)) % 0.67/0.93 [1017]~P2(x10174)+P5(f14(x10171,f13(x10172,x10173,x10174),x10174),f13(f14(x10171,x10172,x10174),f14(x10171,x10173,x10174),x10174),x10174) % 0.67/0.93 [1018]~P30(x10184)+P5(f22(x10181,f21(x10182,x10183,x10184),x10184),f21(f22(x10181,x10182,x10184),f22(x10181,x10183,x10184),x10184),x10184) % 0.67/0.93 [1019]~P2(x10193)+P5(f14(f13(x10191,x10192,x10193),f13(x10191,x10194,x10193),x10193),f13(x10191,f14(x10192,x10194,x10193),x10193),x10193) % 0.67/0.93 [1020]~P30(x10203)+P5(f22(f21(x10201,x10202,x10203),f21(x10201,x10204,x10203),x10203),f21(x10201,f22(x10202,x10204,x10203),x10203),x10203) % 0.67/0.93 [963]~P50(x9634)+E(f9(x9631,f11(x9632,f18(x9633,x9632,x9634),x9634),x9634),f18(f24(x9631,x9633,x9634),x9632,x9634)) % 0.67/0.93 [964]~P48(x9643)+E(f9(f9(x9641,x9642,x9643),f9(x9644,x9645,x9643),x9643),f9(f9(x9641,x9644,x9643),f9(x9642,x9645,x9643),x9643)) % 0.67/0.93 [965]~P48(x9653)+E(f11(f11(x9651,x9652,x9653),f11(x9654,x9655,x9653),x9653),f11(f11(x9651,x9654,x9653),f11(x9652,x9655,x9653),x9653)) % 0.67/0.93 [966]~P13(x9663)+E(f10(f9(x9661,x9662,x9663),f9(x9664,x9665,x9663),x9663),f9(f10(x9661,x9664,x9663),f10(x9662,x9665,x9663),x9663)) % 0.67/0.93 [1014]~P71(x10143)+E(f9(f11(x10141,x10142,x10143),f9(f11(x10144,x10142,x10143),x10145,x10143),x10143),f9(f11(f9(x10141,x10144,x10143),x10142,x10143),x10145,x10143)) % 0.67/0.93 [1038]~P43(x10383)+P5(f16(f10(f9(x10381,x10382,x10383),f9(x10384,x10385,x10383),x10383),x10383),f9(f16(f10(x10381,x10384,x10383),x10383),f16(f10(x10382,x10385,x10383),x10383),a1),a1) % 0.67/0.93 [1039]~P1(x10393)+P5(f8(f10(f9(x10391,x10392,x10393),f9(x10394,x10395,x10393),x10393),x10393),f9(f8(f10(x10391,x10394,x10393),x10393),f8(f10(x10392,x10395,x10393),x10393),x10393),x10393) % 0.67/0.93 [1040]~P44(x10403)+E(f9(f9(f11(f10(x10401,x10402,x10403),f10(x10404,x10405,x10403),x10403),f11(f10(x10401,x10402,x10403),x10405,x10403),x10403),f11(x10402,f10(x10404,x10405,x10403),x10403),x10403),f10(f11(x10401,x10404,x10403),f11(x10402,x10405,x10403),x10403)) % 0.67/0.93 [1028]~P66(x10283)+E(f9(f11(x10281,x10282,x10283),f9(f11(f10(x10284,x10281,x10283),x10282,x10283),x10285,x10283),x10283),f9(f11(x10284,x10282,x10283),x10285,x10283)) % 0.67/0.93 [591]~P31(x5911)+~P5(f3(x5911),f3(x5911),x5911)+E(f9(f3(x5911),f3(x5911),x5911),f3(x5911)) % 0.67/0.93 [488]E(x4881,x4882)+P6(x4881,x4882,a1)+~P5(x4881,x4882,a1) % 0.67/0.93 [565]E(x5651,x5652)+~P5(x5652,x5651,a1)+~P5(x5651,x5652,a1) % 0.67/0.93 [339]E(x3391,x3392)+~E(f6(x3391),f6(x3392))+~E(f5(x3391),f5(x3392)) % 0.67/0.93 [347]~P26(x3472)+~E(f7(x3471,x3472),x3471)+E(x3471,f3(x3472)) % 0.67/0.93 [348]~P43(x3482)+E(x3481,f3(x3482))+~E(f16(x3481,x3482),f3(a1)) % 0.67/0.93 [349]~P1(x3492)+~E(f8(x3491,x3492),f3(x3492))+E(x3491,f3(x3492)) % 0.67/0.93 [350]~P11(x3502)+~E(f7(x3501,x3502),f3(x3502))+E(x3501,f3(x3502)) % 0.67/0.93 [351]~P11(x3511)+~E(f7(x3512,x3511),f3(x3511))+E(f3(x3511),x3512) % 0.67/0.93 [353]~P72(x3532)+~P45(x3532)+~E(f25(x3531,x3532),f3(x3532)) % 0.67/0.93 [405]~P54(x4052)+~P3(x4052)+E(f10(x4051,x4051,x4052),f3(x4052)) % 0.67/0.93 [409]~P49(x4092)+P6(x4091,f3(x4092),x4092)+E(f8(x4091,x4092),x4091) % 0.67/0.93 [428]~P43(x4282)+E(x4281,f3(x4282))+P6(f3(a1),f16(x4281,x4282),a1) % 0.67/0.93 [430]~P1(x4302)+P6(f3(x4302),f8(x4301,x4302),x4302)+E(x4301,f3(x4302)) % 0.67/0.93 [440]~P23(x4402)+~E(f9(x4401,x4401,x4402),f3(x4402))+E(x4401,f3(x4402)) % 0.67/0.93 [472]~P1(x4722)+~P5(f3(x4722),x4721,x4722)+E(f8(x4721,x4722),x4721) % 0.67/0.93 [473]~P1(x4732)+~P6(f3(x4732),x4731,x4732)+E(f8(x4731,x4732),x4731) % 0.67/0.93 [482]~P1(x4822)+~P5(x4821,f3(x4822),x4822)+E(f8(x4821,x4822),f7(x4821,x4822)) % 0.67/0.93 [483]~P1(x4832)+~P6(x4831,f3(x4832),x4832)+E(f8(x4831,x4832),f7(x4831,x4832)) % 0.67/0.93 [484]~P49(x4842)+~P6(x4841,f3(x4842),x4842)+E(f8(x4841,x4842),f7(x4841,x4842)) % 0.67/0.93 [489]~P43(x4892)+E(x4891,f3(x4892))+~P5(f16(x4891,x4892),f3(a1),a1) % 0.67/0.93 [510]~P1(x5102)+~P5(f8(x5101,x5102),f3(x5102),x5102)+E(x5101,f3(x5102)) % 0.67/0.93 [592]~P23(x5922)+~P5(x5921,f3(x5922),x5922)+P5(x5921,f7(x5921,x5922),x5922) % 0.67/0.93 [593]~P26(x5932)+~P5(x5931,f3(x5932),x5932)+P5(x5931,f7(x5931,x5932),x5932) % 0.67/0.93 [594]~P36(x5942)+~P6(x5941,f3(x5942),x5942)+P6(x5941,f7(x5941,x5942),x5942) % 0.67/0.93 [595]~P23(x5952)+~P5(f3(x5952),x5951,x5952)+P5(f7(x5951,x5952),x5951,x5952) % 0.67/0.93 [596]~P26(x5962)+~P5(f3(x5962),x5961,x5962)+P5(f7(x5961,x5962),x5961,x5962) % 0.67/0.93 [600]~P24(x6001)+~P5(x6002,f3(x6001),x6001)+P5(f3(x6001),f7(x6002,x6001),x6001) % 0.67/0.93 [601]~P24(x6011)+~P6(x6012,f3(x6011),x6011)+P6(f3(x6011),f7(x6012,x6011),x6011) % 0.67/0.93 [602]~P24(x6022)+~P5(f3(x6022),x6021,x6022)+P5(f7(x6021,x6022),f3(x6022),x6022) % 0.67/0.93 [603]~P24(x6032)+~P6(f3(x6032),x6031,x6032)+P6(f7(x6031,x6032),f3(x6032),x6032) % 0.67/0.93 [604]~P23(x6042)+~P5(x6041,f7(x6041,x6042),x6042)+P5(x6041,f3(x6042),x6042) % 0.67/0.93 [605]~P26(x6052)+~P5(x6051,f7(x6051,x6052),x6052)+P5(x6051,f3(x6052),x6052) % 0.67/0.93 [606]~P36(x6062)+~P6(x6061,f7(x6061,x6062),x6062)+P6(x6061,f3(x6062),x6062) % 0.67/0.93 [607]~P23(x6071)+~P5(f7(x6072,x6071),x6072,x6071)+P5(f3(x6071),x6072,x6071) % 0.67/0.93 [608]~P26(x6081)+~P5(f7(x6082,x6081),x6082,x6081)+P5(f3(x6081),x6082,x6081) % 0.67/0.93 [616]~P24(x6162)+~P5(f3(x6162),f7(x6161,x6162),x6162)+P5(x6161,f3(x6162),x6162) % 0.67/0.93 [617]~P24(x6172)+~P6(f3(x6172),f7(x6171,x6172),x6172)+P6(x6171,f3(x6172),x6172) % 0.67/0.93 [618]~P24(x6181)+~P5(f7(x6182,x6181),f3(x6181),x6181)+P5(f3(x6181),x6182,x6181) % 0.67/0.93 [619]~P24(x6191)+~P6(f7(x6192,x6191),f3(x6191),x6191)+P6(f3(x6191),x6192,x6191) % 0.67/0.93 [704]~P23(x7041)+~P5(f3(x7041),x7042,x7041)+P5(f3(x7041),f9(x7042,x7042,x7041),x7041) % 0.67/0.93 [707]~P23(x7071)+~P6(f3(x7071),x7072,x7071)+P6(f3(x7071),f9(x7072,x7072,x7071),x7071) % 0.67/0.93 [709]~P23(x7092)+~P5(x7091,f3(x7092),x7092)+P5(f9(x7091,x7091,x7092),f3(x7092),x7092) % 0.67/0.93 [710]~P36(x7102)+~P6(x7101,f3(x7102),x7102)+P6(f9(x7101,x7101,x7102),f3(x7102),x7102) % 0.67/0.93 [711]~P23(x7112)+~P6(x7111,f3(x7112),x7112)+P6(f9(x7111,x7111,x7112),f3(x7112),x7112) % 0.67/0.93 [718]~P5(x7181,x7182,a1)+~P5(f7(x7182,a1),x7181,a1)+P5(f8(x7181,a1),x7182,a1) % 0.67/0.93 [792]~P23(x7922)+~P5(f9(x7921,x7921,x7922),f3(x7922),x7922)+P5(x7921,f3(x7922),x7922) % 0.67/0.93 [793]~P36(x7932)+~P6(f9(x7931,x7931,x7932),f3(x7932),x7932)+P6(x7931,f3(x7932),x7932) % 0.67/0.93 [795]~P23(x7952)+~P6(f9(x7951,x7951,x7952),f3(x7952),x7952)+P6(x7951,f3(x7952),x7952) % 0.67/0.93 [796]~P23(x7961)+~P5(f3(x7961),f9(x7962,x7962,x7961),x7961)+P5(f3(x7961),x7962,x7961) % 0.67/0.93 [797]~P23(x7971)+~P6(f3(x7971),f9(x7972,x7972,x7971),x7971)+P6(f3(x7971),x7972,x7971) % 0.67/0.93 [799]~P6(f3(a1),x7992,a1)+~P6(f3(a1),x7991,a1)+P6(f3(a1),f11(x7991,x7992,a1),a1) % 0.67/0.93 [406]~P54(x4062)+~P3(x4062)+E(f9(x4061,f3(x4062),x4062),x4061) % 0.67/0.93 [497]~P23(x4972)+E(x4971,f3(x4972))+~E(f13(x4971,f7(x4971,x4972),x4972),f3(x4972)) % 0.67/0.93 [498]~P23(x4982)+E(x4981,f3(x4982))+~E(f14(x4981,f7(x4981,x4982),x4982),f3(x4982)) % 0.67/0.93 [467]P5(x4672,x4671,x4673)+~P30(x4673)+P5(x4671,x4672,x4673) % 0.67/0.93 [470]P6(x4702,x4701,x4703)+~P30(x4703)+P5(x4701,x4702,x4703) % 0.67/0.93 [500]~P40(x5003)+~P6(x5001,x5002,x5003)+P5(x5001,x5002,x5003) % 0.67/0.93 [501]~P41(x5013)+~P6(x5011,x5012,x5013)+P5(x5011,x5012,x5013) % 0.67/0.93 [571]~P6(x5713,x5712,x5711)+~P30(x5711)+~P5(x5712,x5713,x5711) % 0.67/0.93 [573]~P6(x5733,x5732,x5731)+~P30(x5731)+~P6(x5732,x5733,x5731) % 0.67/0.93 [574]~P6(x5743,x5742,x5741)+~P40(x5741)+~P6(x5742,x5743,x5741) % 0.67/0.93 [575]~P6(x5753,x5752,x5751)+~P41(x5751)+~P5(x5752,x5753,x5751) % 0.67/0.93 [577]~P6(x5773,x5772,x5771)+~P41(x5771)+~P6(x5772,x5773,x5771) % 0.67/0.93 [642]~P5(x6421,x6423,a1)+P5(x6421,x6422,a1)+~P5(x6423,x6422,a1) % 0.67/0.93 [359]~P11(x3593)+E(x3591,x3592)+~E(f7(x3591,x3593),f7(x3592,x3593)) % 0.67/0.93 [360]~P8(x3603)+E(x3601,x3602)+~E(f7(x3601,x3603),f7(x3602,x3603)) % 0.67/0.93 [435]~P11(x4353)+E(x4351,x4352)+~E(f10(x4351,x4352,x4353),f3(x4353)) % 0.67/0.93 [436]~P13(x4363)+E(x4361,x4362)+~E(f10(x4361,x4362,x4363),f3(x4363)) % 0.67/0.93 [438]~P9(x4382)+~E(f13(x4383,x4381,x4382),f19(x4382))+E(x4381,f19(x4382)) % 0.67/0.93 [439]~P9(x4392)+~E(f14(x4393,x4391,x4392),f20(x4392))+E(x4391,f20(x4392)) % 0.67/0.93 [441]~P69(x4412)+~E(f17(x4411,x4413,x4412),f3(x4412))+E(x4411,f3(x4412)) % 0.67/0.93 [442]~P9(x4422)+~E(f13(x4421,x4423,x4422),f19(x4422))+E(x4421,f19(x4422)) % 0.67/0.93 [443]~P9(x4432)+~E(f14(x4431,x4433,x4432),f20(x4432))+E(x4431,f20(x4432)) % 0.67/0.93 [454]~P11(x4543)+~E(f9(x4541,x4542,x4543),f3(x4543))+E(x4541,f7(x4542,x4543)) % 0.67/0.93 [455]~P11(x4552)+~E(f9(x4551,x4553,x4552),f3(x4552))+E(f7(x4551,x4552),x4553) % 0.67/0.93 [502]~P12(x5023)+~P5(x5022,x5021,x5023)+E(f13(x5021,x5022,x5023),x5022) % 0.67/0.93 [503]~P12(x5033)+~P5(x5031,x5032,x5033)+E(f13(x5031,x5032,x5033),x5031) % 0.67/0.93 [504]~P14(x5043)+~P5(x5041,x5042,x5043)+E(f14(x5041,x5042,x5043),x5042) % 0.67/0.93 [505]~P14(x5053)+~P5(x5052,x5051,x5053)+E(f14(x5051,x5052,x5053),x5051) % 0.67/0.93 [506]~P30(x5063)+~P5(x5062,x5061,x5063)+E(f21(x5061,x5062,x5063),x5062) % 0.67/0.93 [507]~P30(x5073)+~P5(x5071,x5072,x5073)+E(f21(x5071,x5072,x5073),x5071) % 0.67/0.93 [508]~P30(x5083)+~P5(x5081,x5082,x5083)+E(f22(x5081,x5082,x5083),x5082) % 0.67/0.93 [509]~P30(x5093)+~P5(x5092,x5091,x5093)+E(f22(x5091,x5092,x5093),x5091) % 0.67/0.93 [515]~P12(x5153)+P5(x5151,x5152,x5153)+~E(f13(x5151,x5152,x5153),x5151) % 0.67/0.93 [516]~P14(x5163)+P5(x5161,x5162,x5163)+~E(f14(x5161,x5162,x5163),x5162) % 0.67/0.93 [517]~P30(x5173)+P5(x5171,x5172,x5173)+~E(f21(x5171,x5172,x5173),x5171) % 0.67/0.93 [518]~P30(x5183)+P5(x5181,x5182,x5183)+~E(f22(x5181,x5182,x5183),x5182) % 0.67/0.93 [566]E(x5661,x5662)+~E(f11(x5663,x5661,a1),f11(x5663,x5662,a1))+E(x5663,f3(a1)) % 0.67/0.93 [567]E(x5671,x5672)+~E(f11(x5671,x5673,a1),f11(x5672,x5673,a1))+E(x5673,f3(a1)) % 0.67/0.93 [598]~P1(x5983)+P5(x5981,x5982,x5983)+~P5(f8(x5981,x5983),x5982,x5983) % 0.67/0.93 [599]~P36(x5993)+P6(x5991,x5992,x5993)+~P6(f8(x5991,x5993),x5992,x5993) % 0.67/0.93 [613]~P24(x6132)+~P5(x6133,x6131,x6132)+P5(f7(x6131,x6132),f7(x6133,x6132),x6132) % 0.67/0.93 [614]~P24(x6142)+~P6(x6143,x6141,x6142)+P6(f7(x6141,x6142),f7(x6143,x6142),x6142) % 0.67/0.93 [633]~P24(x6333)+~P5(x6332,f7(x6331,x6333),x6333)+P5(x6331,f7(x6332,x6333),x6333) % 0.67/0.93 [635]~P24(x6353)+~P6(x6352,f7(x6351,x6353),x6353)+P6(x6351,f7(x6352,x6353),x6353) % 0.67/0.93 [636]~P1(x6362)+~P5(f8(x6361,x6362),x6363,x6362)+P5(f7(x6361,x6362),x6363,x6362) % 0.67/0.93 [638]~P24(x6382)+~P5(f7(x6383,x6382),x6381,x6382)+P5(f7(x6381,x6382),x6383,x6382) % 0.67/0.93 [639]~P36(x6392)+~P6(f8(x6391,x6392),x6393,x6392)+P6(f7(x6391,x6392),x6393,x6392) % 0.67/0.93 [641]~P24(x6412)+~P6(f7(x6413,x6412),x6411,x6412)+P6(f7(x6411,x6412),x6413,x6412) % 0.67/0.93 [652]~P24(x6523)+P5(x6521,x6522,x6523)+~P5(f7(x6522,x6523),f7(x6521,x6523),x6523) % 0.67/0.93 [653]~P24(x6533)+P6(x6531,x6532,x6533)+~P6(f7(x6532,x6533),f7(x6531,x6533),x6533) % 0.67/0.93 [700]~P24(x7003)+~P5(x7001,x7002,x7003)+P5(f10(x7001,x7002,x7003),f3(x7003),x7003) % 0.67/0.93 [701]~P24(x7013)+~P6(x7011,x7012,x7013)+P6(f10(x7011,x7012,x7013),f3(x7013),x7013) % 0.67/0.93 [705]~P36(x7051)+~P5(f3(x7051),x7052,x7051)+P5(f3(x7051),f17(x7052,x7053,x7051),x7051) % 0.67/0.93 [706]~P62(x7061)+~P5(f3(x7061),x7062,x7061)+P5(f3(x7061),f17(x7062,x7063,x7061),x7061) % 0.67/0.93 [708]~P62(x7081)+~P6(f3(x7081),x7082,x7081)+P6(f3(x7081),f17(x7082,x7083,x7081),x7081) % 0.67/0.93 [728]~P23(x7283)+~P5(x7281,f7(x7282,x7283),x7283)+P5(f9(x7281,x7282,x7283),f3(x7283),x7283) % 0.67/0.93 [755]~P24(x7553)+P5(x7551,x7552,x7553)+~P5(f10(x7551,x7552,x7553),f3(x7553),x7553) % 0.67/0.93 [756]~P24(x7563)+P6(x7561,x7562,x7563)+~P6(f10(x7561,x7562,x7563),f3(x7563),x7563) % 0.67/0.93 [794]~P36(x7942)+~P6(f17(x7941,x7943,x7942),f3(x7942),x7942)+P6(x7941,f3(x7942),x7942) % 0.67/0.93 [817]~P23(x8173)+~P5(f9(x8171,x8172,x8173),f3(x8173),x8173)+P5(x8171,f7(x8172,x8173),x8173) % 0.67/0.93 [879]~P5(x8791,x8793,a1)+P5(f11(x8791,x8792,a1),f11(x8793,x8792,a1),a1)+~P6(f3(a1),x8792,a1) % 0.67/0.93 [880]~P5(x8802,x8803,a1)+P5(f11(x8801,x8802,a1),f11(x8801,x8803,a1),a1)+~P6(f3(a1),x8801,a1) % 0.67/0.93 [881]~P6(x8811,x8813,a1)+P6(f11(x8811,x8812,a1),f11(x8813,x8812,a1),a1)+~P6(f3(a1),x8812,a1) % 0.67/0.93 [882]~P6(x8822,x8823,a1)+P6(f11(x8821,x8822,a1),f11(x8821,x8823,a1),a1)+~P6(f3(a1),x8821,a1) % 0.67/0.93 [975]P5(x9751,x9752,a1)+~P5(f11(x9753,x9751,a1),f11(x9753,x9752,a1),a1)+~P6(f3(a1),x9753,a1) % 0.67/0.93 [976]P5(x9761,x9762,a1)+~P5(f11(x9761,x9763,a1),f11(x9762,x9763,a1),a1)+~P6(f3(a1),x9763,a1) % 0.67/0.93 [977]P6(x9771,x9772,a1)+~P6(f11(x9771,x9773,a1),f11(x9772,x9773,a1),a1)+~P6(f3(a1),x9773,a1) % 0.67/0.93 [453]~P4(x4532)+E(x4531,f3(x4532))+~E(f24(x4531,x4533,x4532),f3(f27(x4532))) % 0.67/0.93 [479]~P4(x4792)+~E(f24(x4793,x4791,x4792),f3(f27(x4792)))+E(x4791,f3(f27(x4792))) % 0.67/0.93 [672]~P72(x6722)+~P45(x6722)+E(f11(f25(x6721,x6722),f25(x6723,x6722),x6722),f25(f9(x6721,x6723,x6722),x6722)) % 0.67/0.93 [729]~P36(x7292)+~P5(f3(x7292),x7293,x7292)+E(f11(f8(x7291,x7292),x7293,x7292),f8(f11(x7291,x7293,x7292),x7292)) % 0.67/0.93 [917]~P60(x9172)+E(x9171,f3(x9172))+~E(f9(f11(x9173,x9173,x9172),f11(x9171,x9171,x9172),x9172),f3(x9172)) % 0.67/0.93 [918]~P60(x9182)+E(x9181,f3(x9182))+~E(f9(f11(x9181,x9181,x9182),f11(x9183,x9183,x9182),x9182),f3(x9182)) % 0.67/0.93 [919]E(x9191,f3(a1))+~P5(x9192,f3(a1),a1)+~P5(f8(x9191,a1),f11(x9192,f8(x9193,a1),a1),a1) % 0.67/0.93 [992]~P60(x9922)+E(x9921,f3(x9922))+P6(f3(x9922),f9(f11(x9923,x9923,x9922),f11(x9921,x9921,x9922),x9922),x9922) % 0.67/0.93 [993]~P60(x9932)+E(x9931,f3(x9932))+P6(f3(x9932),f9(f11(x9931,x9931,x9932),f11(x9933,x9933,x9932),x9932),x9932) % 0.67/0.93 [1024]~P60(x10242)+E(x10241,f3(x10242))+~P5(f9(f11(x10243,x10243,x10242),f11(x10241,x10241,x10242),x10242),f3(x10242),x10242) % 0.67/0.93 [1025]~P60(x10252)+E(x10251,f3(x10252))+~P5(f9(f11(x10251,x10251,x10252),f11(x10253,x10253,x10252),x10252),f3(x10252),x10252) % 0.67/0.93 [579]~P19(x5794)+E(x5791,x5792)+~E(f9(x5793,x5791,x5794),f9(x5793,x5792,x5794)) % 0.67/0.93 [580]~P20(x5804)+E(x5801,x5802)+~E(f9(x5803,x5801,x5804),f9(x5803,x5802,x5804)) % 0.67/0.93 [581]~P13(x5814)+E(x5811,x5812)+~E(f10(x5813,x5813,x5814),f10(x5811,x5812,x5814)) % 0.67/0.93 [582]~P20(x5824)+E(x5821,x5822)+~E(f9(x5821,x5823,x5824),f9(x5822,x5823,x5824)) % 0.67/0.93 [584]~P13(x5843)+E(x5841,x5842)+~E(f10(x5841,x5842,x5843),f10(x5844,x5844,x5843)) % 0.67/0.93 [676]~P14(x6764)+~P5(x6761,x6763,x6764)+P5(x6761,f14(x6762,x6763,x6764),x6764) % 0.67/0.93 [677]~P14(x6774)+~P5(x6771,x6772,x6774)+P5(x6771,f14(x6772,x6773,x6774),x6774) % 0.67/0.93 [679]~P30(x6794)+~P5(x6791,x6793,x6794)+P5(x6791,f22(x6792,x6793,x6794),x6794) % 0.67/0.93 [681]~P30(x6814)+~P5(x6811,x6812,x6814)+P5(x6811,f22(x6812,x6813,x6814),x6814) % 0.67/0.93 [682]~P14(x6824)+~P6(x6821,x6823,x6824)+P6(x6821,f14(x6822,x6823,x6824),x6824) % 0.67/0.93 [683]~P14(x6834)+~P6(x6831,x6832,x6834)+P6(x6831,f14(x6832,x6833,x6834),x6834) % 0.67/0.93 [685]~P30(x6854)+~P6(x6851,x6853,x6854)+P6(x6851,f22(x6852,x6853,x6854),x6854) % 0.67/0.93 [687]~P30(x6874)+~P6(x6871,x6872,x6874)+P6(x6871,f22(x6872,x6873,x6874),x6874) % 0.67/0.93 [688]~P12(x6883)+~P5(x6882,x6884,x6883)+P5(f13(x6881,x6882,x6883),x6884,x6883) % 0.67/0.93 [689]~P12(x6893)+~P5(x6891,x6894,x6893)+P5(f13(x6891,x6892,x6893),x6894,x6893) % 0.67/0.93 [691]~P30(x6913)+~P5(x6912,x6914,x6913)+P5(f21(x6911,x6912,x6913),x6914,x6913) % 0.67/0.93 [693]~P30(x6933)+~P5(x6931,x6934,x6933)+P5(f21(x6931,x6932,x6933),x6934,x6933) % 0.67/0.93 [694]~P12(x6943)+~P6(x6942,x6944,x6943)+P6(f13(x6941,x6942,x6943),x6944,x6943) % 0.67/0.93 [695]~P12(x6953)+~P6(x6951,x6954,x6953)+P6(f13(x6951,x6952,x6953),x6954,x6953) % 0.67/0.93 [697]~P30(x6973)+~P6(x6972,x6974,x6973)+P6(f21(x6971,x6972,x6973),x6974,x6973) % 0.67/0.93 [699]~P30(x6993)+~P6(x6991,x6994,x6993)+P6(f21(x6991,x6992,x6993),x6994,x6993) % 0.67/0.93 [732]~P30(x7323)+P5(x7321,x7322,x7323)+~P5(x7321,f21(x7324,x7322,x7323),x7323) % 0.67/0.93 [734]~P30(x7343)+P5(x7341,x7342,x7343)+~P5(x7341,f21(x7342,x7344,x7343),x7343) % 0.67/0.93 [736]~P12(x7363)+P5(x7361,x7362,x7363)+~P5(x7361,f13(x7364,x7362,x7363),x7363) % 0.67/0.93 [738]~P12(x7383)+P5(x7381,x7382,x7383)+~P5(x7381,f13(x7382,x7384,x7383),x7383) % 0.67/0.93 [739]~P30(x7393)+P6(x7391,x7392,x7393)+~P6(x7391,f21(x7394,x7392,x7393),x7393) % 0.67/0.93 [740]~P30(x7403)+P6(x7401,x7402,x7403)+~P6(x7401,f21(x7402,x7404,x7403),x7403) % 0.67/0.93 [742]~P30(x7423)+P5(x7421,x7422,x7423)+~P5(f22(x7424,x7421,x7423),x7422,x7423) % 0.67/0.93 [744]~P30(x7443)+P5(x7441,x7442,x7443)+~P5(f22(x7441,x7444,x7443),x7442,x7443) % 0.67/0.93 [746]~P14(x7463)+P5(x7461,x7462,x7463)+~P5(f14(x7464,x7461,x7463),x7462,x7463) % 0.67/0.93 [748]~P14(x7483)+P5(x7481,x7482,x7483)+~P5(f14(x7481,x7484,x7483),x7482,x7483) % 0.67/0.93 [749]~P30(x7493)+P6(x7491,x7492,x7493)+~P6(f22(x7494,x7491,x7493),x7492,x7493) % 0.67/0.93 [750]~P30(x7503)+P6(x7501,x7502,x7503)+~P6(f22(x7501,x7504,x7503),x7502,x7503) % 0.67/0.93 [822]~P32(x8223)+~P5(x8221,x8224,x8223)+P5(f9(x8221,x8222,x8223),f9(x8224,x8222,x8223),x8223) % 0.67/0.93 [823]~P33(x8233)+~P5(x8231,x8234,x8233)+P5(f9(x8231,x8232,x8233),f9(x8234,x8232,x8233),x8233) % 0.67/0.93 [824]~P32(x8243)+~P5(x8242,x8244,x8243)+P5(f9(x8241,x8242,x8243),f9(x8241,x8244,x8243),x8243) % 0.67/0.93 [825]~P33(x8253)+~P5(x8252,x8254,x8253)+P5(f9(x8251,x8252,x8253),f9(x8251,x8254,x8253),x8253) % 0.67/0.93 [826]~P32(x8263)+~P6(x8261,x8264,x8263)+P6(f9(x8261,x8262,x8263),f9(x8264,x8262,x8263),x8263) % 0.67/0.93 [827]~P34(x8273)+~P6(x8271,x8274,x8273)+P6(f9(x8271,x8272,x8273),f9(x8274,x8272,x8273),x8273) % 0.67/0.93 [828]~P32(x8283)+~P6(x8282,x8284,x8283)+P6(f9(x8281,x8282,x8283),f9(x8281,x8284,x8283),x8283) % 0.67/0.93 [829]~P34(x8293)+~P6(x8292,x8294,x8293)+P6(f9(x8291,x8292,x8293),f9(x8291,x8294,x8293),x8293) % 0.67/0.93 [946]~P32(x9463)+P5(x9461,x9462,x9463)+~P5(f9(x9464,x9461,x9463),f9(x9464,x9462,x9463),x9463) % 0.67/0.93 [947]~P32(x9473)+P5(x9471,x9472,x9473)+~P5(f9(x9471,x9474,x9473),f9(x9472,x9474,x9473),x9473) % 0.67/0.93 [948]~P32(x9483)+P6(x9481,x9482,x9483)+~P6(f9(x9484,x9481,x9483),f9(x9484,x9482,x9483),x9483) % 0.67/0.93 [949]~P32(x9493)+P6(x9491,x9492,x9493)+~P6(f9(x9491,x9494,x9493),f9(x9492,x9494,x9493),x9493) % 0.67/0.93 [713]~P13(x7133)+E(x7131,f7(x7132,x7133))+~E(f9(x7131,f9(x7134,x7132,x7133),x7133),x7134) % 0.67/0.93 [945]~P10(x9454)+~P5(f9(x9451,x9453,x9454),x9452,x9454)+P5(x9451,f9(x9452,f8(x9453,x9454),x9454),x9454) % 0.67/0.93 [972]~P54(x9723)+~P3(x9723)+E(f9(f11(x9721,x9722,x9723),f11(x9721,x9724,x9723),x9723),f9(f11(x9721,x9724,x9723),f11(x9721,x9722,x9723),x9723)) % 0.67/0.93 [994]~P36(x9944)+P6(x9941,f9(x9942,x9943,x9944),x9944)+~P6(f8(f10(x9941,x9942,x9944),x9944),x9943,x9944) % 0.67/0.93 [995]~P36(x9953)+P6(f10(x9951,x9952,x9953),x9954,x9953)+~P6(f8(f10(x9954,x9951,x9953),x9953),x9952,x9953) % 0.67/0.93 [1026]~P5(f32(x10263,x10262,x10261),f16(x10264,a2),a1)+E(x10261,f3(f27(a2)))+P5(x10262,f16(f18(f24(x10263,x10261,a2),x10264,a2),a2),a1) % 0.67/0.93 [578]~P4(x5784)+E(x5781,x5782)+~E(f24(x5783,x5781,x5784),f24(x5785,x5782,x5784)) % 0.67/0.93 [583]~P4(x5834)+E(x5831,x5832)+~E(f24(x5831,x5833,x5834),f24(x5832,x5835,x5834)) % 0.67/0.93 [869]~P13(x8693)+E(f9(x8691,x8692,x8693),x8694)+~E(f9(x8691,f9(x8695,x8692,x8693),x8693),f9(x8695,x8694,x8693)) % 0.67/0.93 [1015]~P66(x10154)+~E(f9(f11(x10153,x10155,x10154),x10151,x10154),f9(f11(x10152,x10155,x10154),x10156,x10154))+E(x10151,f9(f11(f10(x10152,x10153,x10154),x10155,x10154),x10156,x10154)) % 0.67/0.93 [1016]~P66(x10163)+~E(f9(f11(x10161,x10164,x10163),x10165,x10163),f9(f11(x10162,x10164,x10163),x10166,x10163))+E(f9(f11(f10(x10161,x10162,x10163),x10164,x10163),x10165,x10163),x10166) % 0.67/0.93 [1030]~P64(x10304)+~P5(f9(f11(x10303,x10305,x10304),x10301,x10304),f9(f11(x10302,x10305,x10304),x10306,x10304),x10304)+P5(x10301,f9(f11(f10(x10302,x10303,x10304),x10305,x10304),x10306,x10304),x10304) % 0.67/0.93 [1031]~P64(x10314)+~P6(f9(f11(x10313,x10315,x10314),x10311,x10314),f9(f11(x10312,x10315,x10314),x10316,x10314),x10314)+P6(x10311,f9(f11(f10(x10312,x10313,x10314),x10315,x10314),x10316,x10314),x10314) % 0.67/0.93 [1032]~P64(x10323)+~P5(f9(f11(x10321,x10324,x10323),x10325,x10323),f9(f11(x10322,x10324,x10323),x10326,x10323),x10323)+P5(f9(f11(f10(x10321,x10322,x10323),x10324,x10323),x10325,x10323),x10326,x10323) % 0.67/0.93 [1033]~P64(x10333)+~P6(f9(f11(x10331,x10334,x10333),x10335,x10333),f9(f11(x10332,x10334,x10333),x10336,x10333),x10333)+P6(f9(f11(f10(x10331,x10332,x10333),x10334,x10333),x10335,x10333),x10336,x10333) % 0.67/0.93 [1034]~P64(x10343)+P5(f9(f11(x10341,x10342,x10343),x10344,x10343),f9(f11(x10345,x10342,x10343),x10346,x10343),x10343)+~P5(x10344,f9(f11(f10(x10345,x10341,x10343),x10342,x10343),x10346,x10343),x10343) % 0.67/0.93 [1035]~P64(x10353)+P6(f9(f11(x10351,x10352,x10353),x10354,x10353),f9(f11(x10355,x10352,x10353),x10356,x10353),x10353)+~P6(x10354,f9(f11(f10(x10355,x10351,x10353),x10352,x10353),x10356,x10353),x10353) % 0.67/0.93 [1036]~P64(x10363)+P5(f9(f11(x10361,x10362,x10363),x10364,x10363),f9(f11(x10365,x10362,x10363),x10366,x10363),x10363)+~P5(f9(f11(f10(x10361,x10365,x10363),x10362,x10363),x10364,x10363),x10366,x10363) % 0.67/0.93 [1037]~P64(x10373)+P6(f9(f11(x10371,x10372,x10373),x10374,x10373),f9(f11(x10375,x10372,x10373),x10376,x10373),x10373)+~P6(f9(f11(f10(x10371,x10375,x10373),x10372,x10373),x10374,x10373),x10376,x10373) % 0.67/0.93 [415]~P30(x4152)+~P10(x4152)+P6(x4151,f3(x4152),x4152)+E(f8(x4151,x4152),x4151) % 0.67/0.93 [487]~P30(x4872)+~P10(x4872)+~P6(x4871,f3(x4872),x4872)+E(f8(x4871,x4872),f7(x4871,x4872)) % 0.67/0.93 [540]~P30(x5402)+~P23(x5402)+P6(x5401,f3(x5402),x5402)+E(f14(x5401,f7(x5401,x5402),x5402),x5401) % 0.67/0.93 [620]~P30(x6202)+~P23(x6202)+~P6(x6201,f3(x6202),x6202)+E(f14(x6201,f7(x6201,x6202),x6202),f7(x6201,x6202)) % 0.67/0.93 [477]P6(x4771,x4772,x4773)+~P30(x4773)+E(x4771,x4772)+P6(x4772,x4771,x4773) % 0.67/0.93 [478]P6(x4781,x4782,x4783)+~P36(x4783)+E(x4781,x4782)+P6(x4782,x4781,x4783) % 0.67/0.93 [520]~P30(x5203)+~P5(x5201,x5202,x5203)+E(x5201,x5202)+P6(x5201,x5202,x5203) % 0.67/0.93 [526]~P40(x5263)+~P5(x5261,x5262,x5263)+E(x5261,x5262)+P6(x5261,x5262,x5263) % 0.67/0.93 [587]~P5(x5872,x5871,x5873)+~P5(x5871,x5872,x5873)+E(x5871,x5872)+~P40(x5873) % 0.67/0.93 [615]P6(x6152,x6151,x6153)+~P41(x6153)+~P5(x6152,x6151,x6153)+P5(x6151,x6152,x6153) % 0.67/0.93 [446]~P54(x4462)+~P3(x4462)+~E(f9(x4463,x4461,x4462),x4463)+E(x4461,f3(x4462)) % 0.67/0.93 [447]~P54(x4473)+~P3(x4473)+E(x4471,x4472)+~E(f10(x4471,x4472,x4473),f3(x4473)) % 0.67/0.93 [449]~P37(x4492)+~E(f11(x4493,x4491,x4492),f3(x4492))+E(x4491,f3(x4492))+E(x4493,f3(x4492)) % 0.67/0.93 [450]~P70(x4502)+~E(f11(x4503,x4501,x4502),f3(x4502))+E(x4501,f3(x4502))+E(x4503,f3(x4502)) % 0.67/0.93 [612]~P54(x6123)+E(x6121,x6122)+~E(f11(x6121,x6121,x6123),f11(x6122,x6122,x6123))+E(x6121,f7(x6122,x6123)) % 0.67/0.93 [622]~P8(x6222)+~E(f13(x6221,x6223,x6222),f20(x6222))+~E(f14(x6221,x6223,x6222),f19(x6222))+E(f7(x6221,x6222),x6223) % 0.67/0.93 [726]~P1(x7262)+~P5(x7261,x7263,x7262)+~P5(f7(x7261,x7262),x7263,x7262)+P5(f8(x7261,x7262),x7263,x7262) % 0.67/0.93 [727]~P36(x7272)+~P6(x7271,x7273,x7272)+~P6(f7(x7271,x7272),x7273,x7272)+P6(f8(x7271,x7272),x7273,x7272) % 0.67/0.93 [798]~P36(x7982)+~P5(f17(x7981,x7983,x7982),f3(x7982),x7982)+P5(x7981,f3(x7982),x7982)+E(x7981,f3(x7982)) % 0.67/0.93 [830]~P60(x8301)+~P5(x8303,f3(x8301),x8301)+~P5(x8302,f3(x8301),x8301)+P5(f3(x8301),f11(x8302,x8303,x8301),x8301) % 0.67/0.93 [832]~P64(x8321)+~P5(x8323,f3(x8321),x8321)+~P5(x8322,f3(x8321),x8321)+P5(f3(x8321),f11(x8322,x8323,x8321),x8321) % 0.67/0.93 [833]~P60(x8331)+~P6(x8333,f3(x8331),x8331)+~P6(x8332,f3(x8331),x8331)+P6(f3(x8331),f11(x8332,x8333,x8331),x8331) % 0.67/0.93 [834]~P31(x8341)+~P5(f3(x8341),x8343,x8341)+~P5(f3(x8341),x8342,x8341)+P5(f3(x8341),f9(x8342,x8343,x8341),x8341) % 0.67/0.93 [835]~P60(x8351)+~P5(f3(x8351),x8353,x8351)+~P5(f3(x8351),x8352,x8351)+P5(f3(x8351),f11(x8352,x8353,x8351),x8351) % 0.67/0.93 [836]~P64(x8361)+~P5(f3(x8361),x8363,x8361)+~P5(f3(x8361),x8362,x8361)+P5(f3(x8361),f11(x8362,x8363,x8361),x8361) % 0.67/0.93 [837]~P65(x8371)+~P5(f3(x8371),x8373,x8371)+~P5(f3(x8371),x8372,x8371)+P5(f3(x8371),f11(x8372,x8373,x8371),x8371) % 0.67/0.93 [838]~P31(x8381)+~P5(f3(x8381),x8383,x8381)+~P6(f3(x8381),x8382,x8381)+P6(f3(x8381),f9(x8382,x8383,x8381),x8381) % 0.67/0.93 [839]~P31(x8391)+~P5(f3(x8391),x8392,x8391)+~P6(f3(x8391),x8393,x8391)+P6(f3(x8391),f9(x8392,x8393,x8391),x8391) % 0.67/0.93 [840]~P31(x8401)+~P6(f3(x8401),x8403,x8401)+~P6(f3(x8401),x8402,x8401)+P6(f3(x8401),f9(x8402,x8403,x8401),x8401) % 0.67/0.93 [841]~P61(x8411)+~P6(f3(x8411),x8413,x8411)+~P6(f3(x8411),x8412,x8411)+P6(f3(x8411),f11(x8412,x8413,x8411),x8411) % 0.67/0.93 [842]~P31(x8423)+~P5(x8422,f3(x8423),x8423)+~P5(x8421,f3(x8423),x8423)+P5(f9(x8421,x8422,x8423),f3(x8423),x8423) % 0.67/0.93 [843]~P31(x8433)+~P5(x8432,f3(x8433),x8433)+~P6(x8431,f3(x8433),x8433)+P6(f9(x8431,x8432,x8433),f3(x8433),x8433) % 0.67/0.93 [844]~P31(x8443)+~P5(x8441,f3(x8443),x8443)+~P6(x8442,f3(x8443),x8443)+P6(f9(x8441,x8442,x8443),f3(x8443),x8443) % 0.67/0.93 [845]~P31(x8453)+~P6(x8452,f3(x8453),x8453)+~P6(x8451,f3(x8453),x8453)+P6(f9(x8451,x8452,x8453),f3(x8453),x8453) % 0.67/0.93 [846]~P60(x8463)+~P5(x8462,f3(x8463),x8463)+~P5(f3(x8463),x8461,x8463)+P5(f11(x8461,x8462,x8463),f3(x8463),x8463) % 0.67/0.93 [847]~P60(x8473)+~P5(x8471,f3(x8473),x8473)+~P5(f3(x8473),x8472,x8473)+P5(f11(x8471,x8472,x8473),f3(x8473),x8473) % 0.67/0.93 [849]~P65(x8493)+~P5(x8492,f3(x8493),x8493)+~P5(f3(x8493),x8491,x8493)+P5(f11(x8491,x8492,x8493),f3(x8493),x8493) % 0.67/0.93 [852]~P65(x8523)+~P5(x8521,f3(x8523),x8523)+~P5(f3(x8523),x8522,x8523)+P5(f11(x8521,x8522,x8523),f3(x8523),x8523) % 0.67/0.93 [853]~P61(x8533)+~P6(x8532,f3(x8533),x8533)+~P6(f3(x8533),x8531,x8533)+P6(f11(x8531,x8532,x8533),f3(x8533),x8533) % 0.67/0.93 [855]~P61(x8553)+~P6(x8551,f3(x8553),x8553)+~P6(f3(x8553),x8552,x8553)+P6(f11(x8551,x8552,x8553),f3(x8553),x8553) % 0.67/0.93 [861]~P60(x8612)+~P5(f11(x8613,x8611,x8612),f3(x8612),x8612)+P5(x8611,f3(x8612),x8612)+P5(x8613,f3(x8612),x8612) % 0.67/0.93 [862]~P60(x8622)+~P5(f3(x8622),f11(x8623,x8621,x8622),x8622)+P5(x8621,f3(x8622),x8622)+P5(f3(x8622),x8623,x8622) % 0.67/0.93 [863]~P60(x8632)+~P5(f3(x8632),f11(x8631,x8633,x8632),x8632)+P5(x8631,f3(x8632),x8632)+P5(f3(x8632),x8633,x8632) % 0.67/0.93 [864]~P60(x8642)+~P5(f3(x8642),f11(x8643,x8641,x8642),x8642)+P5(x8641,f3(x8642),x8642)+P5(f3(x8642),x8641,x8642) % 0.67/0.93 [865]~P60(x8652)+~P5(f3(x8652),f11(x8651,x8653,x8652),x8652)+P5(x8651,f3(x8652),x8652)+P5(f3(x8652),x8651,x8652) % 0.67/0.93 [866]~P60(x8662)+~P5(f11(x8663,x8661,x8662),f3(x8662),x8662)+P5(x8661,f3(x8662),x8662)+P5(f3(x8662),x8661,x8662) % 0.67/0.93 [867]~P60(x8672)+~P5(f11(x8671,x8673,x8672),f3(x8672),x8672)+P5(x8671,f3(x8672),x8672)+P5(f3(x8672),x8671,x8672) % 0.67/0.93 [868]~P60(x8681)+~P5(f11(x8682,x8683,x8681),f3(x8681),x8681)+P5(f3(x8681),x8682,x8681)+P5(f3(x8681),x8683,x8681) % 0.67/0.93 [876]~P61(x8761)+~P6(f3(x8761),f11(x8763,x8762,x8761),x8761)+P6(f3(x8761),x8762,x8761)+~P6(f3(x8761),x8763,x8761) % 0.67/0.93 [877]~P61(x8771)+~P6(f3(x8771),f11(x8772,x8773,x8771),x8771)+P6(f3(x8771),x8772,x8771)+~P6(f3(x8771),x8773,x8771) % 0.67/0.93 [872]~P59(x8722)+~P5(x8723,f3(x8722),x8722)+~P5(x8721,f3(x8722),x8722)+E(f11(f8(x8721,x8722),f8(x8723,x8722),x8722),f8(f11(x8721,x8723,x8722),x8722)) % 0.67/0.93 [873]~P59(x8732)+~P5(x8733,f3(x8732),x8732)+~P5(f3(x8732),x8731,x8732)+E(f11(f8(x8731,x8732),f8(x8733,x8732),x8732),f8(f11(x8731,x8733,x8732),x8732)) % 0.67/0.93 [874]~P59(x8742)+~P5(x8741,f3(x8742),x8742)+~P5(f3(x8742),x8743,x8742)+E(f11(f8(x8741,x8742),f8(x8743,x8742),x8742),f8(f11(x8741,x8743,x8742),x8742)) % 0.67/0.93 [875]~P59(x8752)+~P5(f3(x8752),x8753,x8752)+~P5(f3(x8752),x8751,x8752)+E(f11(f8(x8751,x8752),f8(x8753,x8752),x8752),f8(f11(x8751,x8753,x8752),x8752)) % 0.67/0.93 [663]~P40(x6633)+~P5(x6631,x6634,x6633)+P5(x6631,x6632,x6633)+~P5(x6634,x6632,x6633) % 0.67/0.93 [664]~P41(x6643)+~P5(x6641,x6644,x6643)+P5(x6641,x6642,x6643)+~P5(x6644,x6642,x6643) % 0.67/0.93 [665]~P40(x6653)+~P6(x6651,x6654,x6653)+P6(x6651,x6652,x6653)+~P5(x6654,x6652,x6653) % 0.67/0.93 [666]~P40(x6663)+~P6(x6664,x6662,x6663)+P6(x6661,x6662,x6663)+~P5(x6661,x6664,x6663) % 0.67/0.93 [667]~P40(x6673)+~P6(x6671,x6674,x6673)+P6(x6671,x6672,x6673)+~P6(x6674,x6672,x6673) % 0.67/0.93 [668]~P41(x6683)+~P6(x6681,x6684,x6683)+P6(x6681,x6682,x6683)+~P5(x6684,x6682,x6683) % 0.67/0.93 [669]~P41(x6693)+~P6(x6694,x6692,x6693)+P6(x6691,x6692,x6693)+~P5(x6691,x6694,x6693) % 0.67/0.93 [670]~P41(x6703)+~P6(x6701,x6704,x6703)+P6(x6701,x6702,x6703)+~P6(x6704,x6702,x6703) % 0.67/0.93 [597]~P54(x5974)+~P3(x5974)+E(x5971,x5972)+~E(f9(x5973,x5971,x5974),f9(x5973,x5972,x5974)) % 0.67/0.93 [803]~P12(x8034)+~P5(x8031,x8033,x8034)+~P5(x8031,x8032,x8034)+P5(x8031,f13(x8032,x8033,x8034),x8034) % 0.67/0.93 [806]~P30(x8064)+~P5(x8061,x8063,x8064)+~P5(x8061,x8062,x8064)+P5(x8061,f21(x8062,x8063,x8064),x8064) % 0.67/0.93 [807]~P30(x8074)+~P6(x8071,x8073,x8074)+~P6(x8071,x8072,x8074)+P6(x8071,f21(x8072,x8073,x8074),x8074) % 0.67/0.93 [810]~P14(x8103)+~P5(x8102,x8104,x8103)+~P5(x8101,x8104,x8103)+P5(f14(x8101,x8102,x8103),x8104,x8103) % 0.67/0.93 [813]~P30(x8133)+~P5(x8132,x8134,x8133)+~P5(x8131,x8134,x8133)+P5(f22(x8131,x8132,x8133),x8134,x8133) % 0.67/0.93 [814]~P30(x8143)+~P6(x8142,x8144,x8143)+~P6(x8141,x8144,x8143)+P6(f22(x8141,x8142,x8143),x8144,x8143) % 0.67/0.93 [816]~P62(x8164)+~P6(x8161,x8163,x8164)+~P6(f3(x8164),x8162,x8164)+P6(x8161,f9(x8162,x8163,x8164),x8164) % 0.67/0.93 [856]~P30(x8563)+P5(x8561,x8562,x8563)+P5(x8561,x8564,x8563)+~P5(x8561,f22(x8562,x8564,x8563),x8563) % 0.67/0.93 [857]~P30(x8573)+P6(x8571,x8572,x8573)+P6(x8571,x8574,x8573)+~P6(x8571,f22(x8572,x8574,x8573),x8573) % 0.67/0.93 [858]~P30(x8583)+P5(x8581,x8582,x8583)+P5(x8584,x8582,x8583)+~P5(f21(x8581,x8584,x8583),x8582,x8583) % 0.67/0.93 [859]~P30(x8593)+P6(x8591,x8592,x8593)+P6(x8594,x8592,x8593)+~P6(f21(x8591,x8594,x8593),x8592,x8593) % 0.67/0.93 [925]~P64(x9253)+~P5(x9254,x9251,x9253)+~P5(x9252,f3(x9253),x9253)+P5(f11(x9251,x9252,x9253),f11(x9254,x9252,x9253),x9253) % 0.67/0.93 [926]~P60(x9263)+~P5(x9264,x9262,x9263)+~P6(x9261,f3(x9263),x9263)+P5(f11(x9261,x9262,x9263),f11(x9261,x9264,x9263),x9263) % 0.67/0.93 [927]~P64(x9273)+~P5(x9274,x9272,x9273)+~P5(x9271,f3(x9273),x9273)+P5(f11(x9271,x9272,x9273),f11(x9271,x9274,x9273),x9273) % 0.67/0.93 [929]~P60(x9293)+~P6(x9294,x9291,x9293)+~P6(x9292,f3(x9293),x9293)+P6(f11(x9291,x9292,x9293),f11(x9294,x9292,x9293),x9293) % 0.67/0.93 [932]~P60(x9323)+~P6(x9324,x9322,x9323)+~P6(x9321,f3(x9323),x9323)+P6(f11(x9321,x9322,x9323),f11(x9321,x9324,x9323),x9323) % 0.67/0.93 [933]~P57(x9333)+~P5(x9331,x9334,x9333)+~P5(f3(x9333),x9332,x9333)+P5(f11(x9331,x9332,x9333),f11(x9334,x9332,x9333),x9333) % 0.67/0.93 [934]~P60(x9343)+~P5(x9342,x9344,x9343)+~P6(f3(x9343),x9341,x9343)+P5(f11(x9341,x9342,x9343),f11(x9341,x9344,x9343),x9343) % 0.67/0.93 [935]~P56(x9353)+~P5(x9352,x9354,x9353)+~P5(f3(x9353),x9351,x9353)+P5(f11(x9351,x9352,x9353),f11(x9351,x9354,x9353),x9353) % 0.67/0.93 [936]~P57(x9363)+~P5(x9362,x9364,x9363)+~P5(f3(x9363),x9361,x9363)+P5(f11(x9361,x9362,x9363),f11(x9361,x9364,x9363),x9363) % 0.67/0.93 [937]~P62(x9373)+~P5(x9371,x9374,x9373)+~P5(f3(x9373),x9371,x9373)+P5(f17(x9371,x9372,x9373),f17(x9374,x9372,x9373),x9373) % 0.67/0.93 [938]~P60(x9383)+~P6(x9381,x9384,x9383)+~P6(f3(x9383),x9382,x9383)+P6(f11(x9381,x9382,x9383),f11(x9384,x9382,x9383),x9383) % 0.67/0.93 [939]~P61(x9393)+~P6(x9391,x9394,x9393)+~P6(f3(x9393),x9392,x9393)+P6(f11(x9391,x9392,x9393),f11(x9394,x9392,x9393),x9393) % 0.67/0.93 [941]~P60(x9413)+~P6(x9412,x9414,x9413)+~P6(f3(x9413),x9411,x9413)+P6(f11(x9411,x9412,x9413),f11(x9411,x9414,x9413),x9413) % 0.67/0.93 [942]~P61(x9423)+~P6(x9422,x9424,x9423)+~P6(f3(x9423),x9421,x9423)+P6(f11(x9421,x9422,x9423),f11(x9421,x9424,x9423),x9423) % 0.67/0.93 [943]~P58(x9433)+~P6(x9432,x9434,x9433)+~P6(f3(x9433),x9431,x9433)+P6(f11(x9431,x9432,x9433),f11(x9431,x9434,x9433),x9433) % 0.67/0.93 [961]P6(x9612,x9611,x9613)+~P60(x9613)+P6(x9611,x9612,x9613)+~P6(f11(x9614,x9611,x9613),f11(x9614,x9612,x9613),x9613) % 0.67/0.93 [962]P6(x9622,x9621,x9623)+~P60(x9623)+P6(x9621,x9622,x9623)+~P6(f11(x9621,x9624,x9623),f11(x9622,x9624,x9623),x9623) % 0.67/0.93 [967]~P60(x9673)+P6(x9671,x9672,x9673)+~P6(f11(x9671,x9674,x9673),f11(x9672,x9674,x9673),x9673)+P6(x9674,f3(x9673),x9673) % 0.67/0.93 [968]~P60(x9683)+P6(x9681,x9682,x9683)+~P6(f11(x9684,x9681,x9683),f11(x9684,x9682,x9683),x9683)+P6(x9684,f3(x9683),x9683) % 0.67/0.93 [969]~P60(x9693)+P6(x9691,x9692,x9693)+~P6(f11(x9694,x9692,x9693),f11(x9694,x9691,x9693),x9693)+P6(f3(x9693),x9694,x9693) % 0.67/0.93 [970]~P60(x9703)+P6(x9701,x9702,x9703)+~P6(f11(x9702,x9704,x9703),f11(x9701,x9704,x9703),x9703)+P6(f3(x9703),x9704,x9703) % 0.67/0.93 [973]~P60(x9732)+~P6(f11(x9733,x9731,x9732),f11(x9734,x9731,x9732),x9732)+P6(x9731,f3(x9732),x9732)+P6(f3(x9732),x9731,x9732) % 0.67/0.93 [974]~P60(x9742)+~P6(f11(x9741,x9743,x9742),f11(x9741,x9744,x9742),x9742)+P6(x9741,f3(x9742),x9742)+P6(f3(x9742),x9741,x9742) % 0.67/0.93 [980]~P60(x9803)+P5(x9801,x9802,x9803)+~P5(f11(x9804,x9802,x9803),f11(x9804,x9801,x9803),x9803)+~P6(x9804,f3(x9803),x9803) % 0.67/0.93 [981]~P60(x9813)+P6(x9811,x9812,x9813)+~P6(f11(x9814,x9812,x9813),f11(x9814,x9811,x9813),x9813)+~P6(x9814,f3(x9813),x9813) % 0.67/0.93 [982]~P60(x9823)+P5(x9821,x9822,x9823)+~P5(f11(x9824,x9821,x9823),f11(x9824,x9822,x9823),x9823)+~P6(f3(x9823),x9824,x9823) % 0.67/0.93 [983]~P61(x9833)+P5(x9831,x9832,x9833)+~P5(f11(x9834,x9831,x9833),f11(x9834,x9832,x9833),x9833)+~P6(f3(x9833),x9834,x9833) % 0.67/0.93 [984]~P61(x9843)+P5(x9841,x9842,x9843)+~P5(f11(x9841,x9844,x9843),f11(x9842,x9844,x9843),x9843)+~P6(f3(x9843),x9844,x9843) % 0.67/0.93 [985]~P60(x9853)+P6(x9851,x9852,x9853)+~P6(f11(x9854,x9851,x9853),f11(x9854,x9852,x9853),x9853)+~P6(f3(x9853),x9854,x9853) % 0.67/0.93 [986]~P61(x9863)+P6(x9861,x9862,x9863)+~P6(f11(x9864,x9861,x9863),f11(x9864,x9862,x9863),x9863)+~P5(f3(x9863),x9864,x9863) % 0.67/0.93 [987]~P61(x9873)+P6(x9871,x9872,x9873)+~P6(f11(x9871,x9874,x9873),f11(x9872,x9874,x9873),x9873)+~P5(f3(x9873),x9874,x9873) % 0.67/0.93 [988]~P62(x9883)+P6(x9881,x9882,x9883)+~P5(f3(x9883),x9882,x9883)+~P6(f17(x9881,x9884,x9883),f17(x9882,x9884,x9883),x9883) % 0.67/0.93 [989]~P63(x9893)+P6(x9891,x9892,x9893)+~P6(f11(x9894,x9891,x9893),f11(x9894,x9892,x9893),x9893)+~P5(f3(x9893),x9894,x9893) % 0.67/0.93 [990]~P63(x9903)+P6(x9901,x9902,x9903)+~P6(f11(x9901,x9904,x9903),f11(x9902,x9904,x9903),x9903)+~P5(f3(x9903),x9904,x9903) % 0.67/0.93 [944]~P43(x9442)+E(x9441,f3(x9442))+~P5(x9443,f3(a1),a1)+~P5(f16(x9441,x9442),f11(x9443,f16(x9444,x9442),a1),a1) % 0.67/0.93 [1011]~P36(x10113)+~P6(x10111,f9(x10112,x10114,x10113),x10113)+~P6(f10(x10112,x10114,x10113),x10111,x10113)+P6(f8(f10(x10111,x10112,x10113),x10113),x10114,x10113) % 0.67/0.93 [751]~P24(x7513)+~P5(x7515,x7514,x7513)+P5(x7511,x7512,x7513)+~E(f10(x7514,x7515,x7513),f10(x7512,x7511,x7513)) % 0.67/0.93 [752]~P24(x7523)+~P5(x7525,x7524,x7523)+P5(x7521,x7522,x7523)+~E(f10(x7522,x7521,x7523),f10(x7524,x7525,x7523)) % 0.67/0.93 [753]~P24(x7533)+~P6(x7534,x7535,x7533)+P6(x7531,x7532,x7533)+~E(f10(x7534,x7535,x7533),f10(x7531,x7532,x7533)) % 0.67/0.93 [754]~P24(x7543)+~P6(x7544,x7545,x7543)+P6(x7541,x7542,x7543)+~E(f10(x7541,x7542,x7543),f10(x7544,x7545,x7543)) % 0.67/0.93 [920]~P33(x9203)+~P5(x9202,x9205,x9203)+~P5(x9201,x9204,x9203)+P5(f9(x9201,x9202,x9203),f9(x9204,x9205,x9203),x9203) % 0.67/0.93 [921]~P34(x9213)+~P5(x9212,x9215,x9213)+~P6(x9211,x9214,x9213)+P6(f9(x9211,x9212,x9213),f9(x9214,x9215,x9213),x9213) % 0.67/0.93 [922]~P34(x9223)+~P5(x9221,x9224,x9223)+~P6(x9222,x9225,x9223)+P6(f9(x9221,x9222,x9223),f9(x9224,x9225,x9223),x9223) % 0.67/0.93 [923]~P34(x9233)+~P6(x9232,x9235,x9233)+~P6(x9231,x9234,x9233)+P6(f9(x9231,x9232,x9233),f9(x9234,x9235,x9233),x9233) % 0.67/0.93 [955]~P24(x9554)+~P5(x9555,x9553,x9554)+~P5(x9551,f9(x9552,x9555,x9554),x9554)+P5(x9551,f9(x9552,x9553,x9554),x9554) % 0.67/0.93 [996]~P36(x9962)+~P6(f8(x9961,x9962),x9964,x9962)+~P6(f8(x9963,x9962),x9965,x9962)+P6(f11(f8(x9961,x9962),f8(x9963,x9962),x9962),f11(x9964,x9965,x9962),x9962) % 0.67/0.93 [1005]~P43(x10053)+~P6(f16(x10052,x10053),x10055,a1)+~P6(f16(x10051,x10053),x10054,a1)+P6(f16(f9(x10051,x10052,x10053),x10053),f9(x10054,x10055,a1),a1) % 0.67/0.93 [1006]~P44(x10063)+~P6(f16(x10062,x10063),x10065,a1)+~P6(f16(x10061,x10063),x10064,a1)+P6(f16(f11(x10061,x10062,x10063),x10063),f11(x10064,x10065,a1),a1) % 0.67/0.93 [722]~P31(x7222)+~P5(f3(x7222),x7221,x7222)+~P5(f3(x7222),x7223,x7222)+~E(f9(x7223,x7221,x7222),f3(x7222))+E(x7221,f3(x7222)) % 0.67/0.93 [723]~P31(x7232)+~P5(f3(x7232),x7233,x7232)+~P5(f3(x7232),x7231,x7232)+~E(f9(x7231,x7233,x7232),f3(x7232))+E(x7231,f3(x7232)) % 0.67/0.93 [818]~P32(x8184)+~P15(x8184)+~P5(x8181,x8183,x8184)+~P5(f3(x8184),x8182,x8184)+P5(x8181,f9(x8182,x8183,x8184),x8184) % 0.67/0.93 [819]~P32(x8194)+~P15(x8194)+~P5(x8191,x8192,x8194)+~P5(f3(x8194),x8193,x8194)+P5(x8191,f9(x8192,x8193,x8194),x8194) % 0.67/0.93 [820]~P32(x8204)+~P15(x8204)+~P5(x8201,x8203,x8204)+~P6(f3(x8204),x8202,x8204)+P6(x8201,f9(x8202,x8203,x8204),x8204) % 0.67/0.93 [821]~P32(x8214)+~P15(x8214)+~P6(x8211,x8213,x8214)+~P5(f3(x8214),x8212,x8214)+P6(x8211,f9(x8212,x8213,x8214),x8214) % 0.67/0.93 [960]~P54(x9604)+~P3(x9604)+E(x9601,x9602)+E(x9603,f3(x9604))+~E(f9(x9605,f11(x9603,x9601,x9604),x9604),f9(x9605,f11(x9603,x9602,x9604),x9604)) % 0.67/0.93 [1013]~P54(x10135)+~P3(x10135)+E(x10131,x10132)+E(x10133,x10134)+~E(f9(f11(x10133,x10131,x10135),f11(x10134,x10132,x10135),x10135),f9(f11(x10133,x10132,x10135),f11(x10134,x10131,x10135),x10135)) % 0.67/0.93 [481]~P68(x4812)+~P37(x4812)+~P38(x4812)+~P39(x4812)+~E(f17(x4811,x4813,x4812),f3(x4812))+E(x4811,f3(x4812)) % 0.67/0.93 [997]~P67(x9973)+~P5(x9972,x9975,x9973)+~P5(x9971,x9974,x9973)+~P5(f3(x9973),x9974,x9973)+~P5(f3(x9973),x9972,x9973)+P5(f11(x9971,x9972,x9973),f11(x9974,x9975,x9973),x9973) % 0.67/0.93 [998]~P67(x9983)+~P5(x9982,x9985,x9983)+~P5(x9981,x9984,x9983)+~P5(f3(x9983),x9982,x9983)+~P5(f3(x9983),x9981,x9983)+P5(f11(x9981,x9982,x9983),f11(x9984,x9985,x9983),x9983) % 0.67/0.93 [999]~P61(x9993)+~P5(x9992,x9995,x9993)+~P6(x9991,x9994,x9993)+~P5(f3(x9993),x9991,x9993)+~P6(f3(x9993),x9992,x9993)+P6(f11(x9991,x9992,x9993),f11(x9994,x9995,x9993),x9993) % 0.67/0.93 [1000]~P61(x10003)+~P5(x10001,x10004,x10003)+~P6(x10002,x10005,x10003)+~P5(f3(x10003),x10002,x10003)+~P6(f3(x10003),x10001,x10003)+P6(f11(x10001,x10002,x10003),f11(x10004,x10005,x10003),x10003) % 0.67/0.93 [1001]~P61(x10013)+~P6(x10012,x10015,x10013)+~P6(x10011,x10014,x10013)+~P5(f3(x10013),x10012,x10013)+~P5(f3(x10013),x10011,x10013)+P6(f11(x10011,x10012,x10013),f11(x10014,x10015,x10013),x10013) % 0.67/0.93 [1002]~P61(x10023)+~P6(x10022,x10025,x10023)+~P6(x10021,x10024,x10023)+~P5(f3(x10023),x10022,x10023)+~P6(f3(x10023),x10024,x10023)+P6(f11(x10021,x10022,x10023),f11(x10024,x10025,x10023),x10023) % 0.67/0.93 %EqnAxiom % 0.67/0.93 [1]E(x11,x11) % 0.67/0.93 [2]E(x22,x21)+~E(x21,x22) % 0.67/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.67/0.93 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.67/0.93 [5]~E(x51,x52)+E(f12(x51),f12(x52)) % 0.67/0.93 [6]~E(x61,x62)+E(f10(x61,x63,x64),f10(x62,x63,x64)) % 0.67/0.93 [7]~E(x71,x72)+E(f10(x73,x71,x74),f10(x73,x72,x74)) % 0.67/0.93 [8]~E(x81,x82)+E(f10(x83,x84,x81),f10(x83,x84,x82)) % 0.67/0.93 [9]~E(x91,x92)+E(f11(x91,x93,x94),f11(x92,x93,x94)) % 0.67/0.93 [10]~E(x101,x102)+E(f11(x103,x101,x104),f11(x103,x102,x104)) % 0.67/0.93 [11]~E(x111,x112)+E(f11(x113,x114,x111),f11(x113,x114,x112)) % 0.67/0.93 [12]~E(x121,x122)+E(f15(x121),f15(x122)) % 0.67/0.93 [13]~E(x131,x132)+E(f9(x131,x133,x134),f9(x132,x133,x134)) % 0.67/0.93 [14]~E(x141,x142)+E(f9(x143,x141,x144),f9(x143,x142,x144)) % 0.67/0.93 [15]~E(x151,x152)+E(f9(x153,x154,x151),f9(x153,x154,x152)) % 0.67/0.93 [16]~E(x161,x162)+E(f4(x161),f4(x162)) % 0.67/0.93 [17]~E(x171,x172)+E(f21(x171,x173,x174),f21(x172,x173,x174)) % 0.67/0.93 [18]~E(x181,x182)+E(f21(x183,x181,x184),f21(x183,x182,x184)) % 0.67/0.93 [19]~E(x191,x192)+E(f21(x193,x194,x191),f21(x193,x194,x192)) % 0.67/0.93 [20]~E(x201,x202)+E(f13(x201,x203,x204),f13(x202,x203,x204)) % 0.67/0.93 [21]~E(x211,x212)+E(f13(x213,x211,x214),f13(x213,x212,x214)) % 0.67/0.93 [22]~E(x221,x222)+E(f13(x223,x224,x221),f13(x223,x224,x222)) % 0.67/0.93 [23]~E(x231,x232)+E(f5(x231),f5(x232)) % 0.67/0.93 [24]~E(x241,x242)+E(f18(x241,x243,x244),f18(x242,x243,x244)) % 0.67/0.93 [25]~E(x251,x252)+E(f18(x253,x251,x254),f18(x253,x252,x254)) % 0.67/0.93 [26]~E(x261,x262)+E(f18(x263,x264,x261),f18(x263,x264,x262)) % 0.67/0.93 [27]~E(x271,x272)+E(f6(x271),f6(x272)) % 0.67/0.93 [28]~E(x281,x282)+E(f7(x281,x283),f7(x282,x283)) % 0.67/0.93 [29]~E(x291,x292)+E(f7(x293,x291),f7(x293,x292)) % 0.67/0.93 [30]~E(x301,x302)+E(f14(x301,x303,x304),f14(x302,x303,x304)) % 0.67/0.93 [31]~E(x311,x312)+E(f14(x313,x311,x314),f14(x313,x312,x314)) % 0.67/0.93 [32]~E(x321,x322)+E(f14(x323,x324,x321),f14(x323,x324,x322)) % 0.67/0.93 [33]~E(x331,x332)+E(f8(x331,x333),f8(x332,x333)) % 0.67/0.93 [34]~E(x341,x342)+E(f8(x343,x341),f8(x343,x342)) % 0.67/0.93 [35]~E(x351,x352)+E(f16(x351,x353),f16(x352,x353)) % 0.67/0.93 [36]~E(x361,x362)+E(f16(x363,x361),f16(x363,x362)) % 0.67/0.93 [37]~E(x371,x372)+E(f22(x371,x373,x374),f22(x372,x373,x374)) % 0.67/0.93 [38]~E(x381,x382)+E(f22(x383,x381,x384),f22(x383,x382,x384)) % 0.67/0.93 [39]~E(x391,x392)+E(f22(x393,x394,x391),f22(x393,x394,x392)) % 0.67/0.93 [40]~E(x401,x402)+E(f20(x401),f20(x402)) % 0.67/0.93 [41]~E(x411,x412)+E(f27(x411),f27(x412)) % 0.67/0.93 [42]~E(x421,x422)+E(f17(x421,x423,x424),f17(x422,x423,x424)) % 0.67/0.93 [43]~E(x431,x432)+E(f17(x433,x431,x434),f17(x433,x432,x434)) % 0.67/0.93 [44]~E(x441,x442)+E(f17(x443,x444,x441),f17(x443,x444,x442)) % 0.67/0.93 [45]~E(x451,x452)+E(f19(x451),f19(x452)) % 0.67/0.93 [46]~E(x461,x462)+E(f25(x461,x463),f25(x462,x463)) % 0.67/0.93 [47]~E(x471,x472)+E(f25(x473,x471),f25(x473,x472)) % 0.67/0.93 [48]~E(x481,x482)+E(f24(x481,x483,x484),f24(x482,x483,x484)) % 0.67/0.93 [49]~E(x491,x492)+E(f24(x493,x491,x494),f24(x493,x492,x494)) % 0.67/0.93 [50]~E(x501,x502)+E(f24(x503,x504,x501),f24(x503,x504,x502)) % 0.67/0.93 [51]~E(x511,x512)+E(f29(x511),f29(x512)) % 0.67/0.93 [52]~E(x521,x522)+E(f31(x521),f31(x522)) % 0.67/0.93 [53]~E(x531,x532)+E(f28(x531,x533),f28(x532,x533)) % 0.67/0.93 [54]~E(x541,x542)+E(f28(x543,x541),f28(x543,x542)) % 0.67/0.93 [55]~E(x551,x552)+E(f32(x551,x553,x554),f32(x552,x553,x554)) % 0.67/0.93 [56]~E(x561,x562)+E(f32(x563,x561,x564),f32(x563,x562,x564)) % 0.67/0.93 [57]~E(x571,x572)+E(f32(x573,x574,x571),f32(x573,x574,x572)) % 0.67/0.93 [58]~E(x581,x582)+E(f23(x581,x583,x584),f23(x582,x583,x584)) % 0.67/0.93 [59]~E(x591,x592)+E(f23(x593,x591,x594),f23(x593,x592,x594)) % 0.67/0.93 [60]~E(x601,x602)+E(f23(x603,x604,x601),f23(x603,x604,x602)) % 0.67/0.93 [61]~E(x611,x612)+E(f34(x611,x613),f34(x612,x613)) % 0.67/0.93 [62]~E(x621,x622)+E(f34(x623,x621),f34(x623,x622)) % 0.67/0.93 [63]~E(x631,x632)+E(f33(x631,x633),f33(x632,x633)) % 0.67/0.93 [64]~E(x641,x642)+E(f33(x643,x641),f33(x643,x642)) % 0.67/0.93 [65]~E(x651,x652)+E(f26(x651,x653),f26(x652,x653)) % 0.67/0.93 [66]~E(x661,x662)+E(f26(x663,x661),f26(x663,x662)) % 0.67/0.93 [67]~P1(x671)+P1(x672)+~E(x671,x672) % 0.67/0.93 [68]~P2(x681)+P2(x682)+~E(x681,x682) % 0.67/0.93 [69]~P30(x691)+P30(x692)+~E(x691,x692) % 0.67/0.93 [70]~P10(x701)+P10(x702)+~E(x701,x702) % 0.67/0.93 [71]~P11(x711)+P11(x712)+~E(x711,x712) % 0.67/0.93 [72]P6(x722,x723,x724)+~E(x721,x722)+~P6(x721,x723,x724) % 0.67/0.93 [73]P6(x733,x732,x734)+~E(x731,x732)+~P6(x733,x731,x734) % 0.67/0.93 [74]P6(x743,x744,x742)+~E(x741,x742)+~P6(x743,x744,x741) % 0.67/0.93 [75]~P36(x751)+P36(x752)+~E(x751,x752) % 0.67/0.93 [76]~P12(x761)+P12(x762)+~E(x761,x762) % 0.67/0.93 [77]~P59(x771)+P59(x772)+~E(x771,x772) % 0.67/0.93 [78]~P66(x781)+P66(x782)+~E(x781,x782) % 0.67/0.93 [79]~P31(x791)+P31(x792)+~E(x791,x792) % 0.67/0.93 [80]~P23(x801)+P23(x802)+~E(x801,x802) % 0.67/0.93 [81]~P68(x811)+P68(x812)+~E(x811,x812) % 0.67/0.93 [82]P5(x822,x823,x824)+~E(x821,x822)+~P5(x821,x823,x824) % 0.67/0.93 [83]P5(x833,x832,x834)+~E(x831,x832)+~P5(x833,x831,x834) % 0.67/0.93 [84]P5(x843,x844,x842)+~E(x841,x842)+~P5(x843,x844,x841) % 0.67/0.93 [85]~P37(x851)+P37(x852)+~E(x851,x852) % 0.67/0.93 [86]~P60(x861)+P60(x862)+~E(x861,x862) % 0.67/0.93 [87]~P38(x871)+P38(x872)+~E(x871,x872) % 0.67/0.93 [88]~P26(x881)+P26(x882)+~E(x881,x882) % 0.67/0.93 [89]~P39(x891)+P39(x892)+~E(x891,x892) % 0.67/0.93 [90]~P40(x901)+P40(x902)+~E(x901,x902) % 0.67/0.93 [91]~P69(x911)+P69(x912)+~E(x911,x912) % 0.67/0.93 [92]~P24(x921)+P24(x922)+~E(x921,x922) % 0.67/0.93 [93]~P8(x931)+P8(x932)+~E(x931,x932) % 0.67/0.93 [94]~P43(x941)+P43(x942)+~E(x941,x942) % 0.67/0.93 [95]~P32(x951)+P32(x952)+~E(x951,x952) % 0.67/0.93 [96]~P64(x961)+P64(x962)+~E(x961,x962) % 0.67/0.93 [97]~P61(x971)+P61(x972)+~E(x971,x972) % 0.67/0.93 [98]~P48(x981)+P48(x982)+~E(x981,x982) % 0.67/0.93 [99]~P14(x991)+P14(x992)+~E(x991,x992) % 0.67/0.93 [100]~P44(x1001)+P44(x1002)+~E(x1001,x1002) % 0.67/0.93 [101]~P62(x1011)+P62(x1012)+~E(x1011,x1012) % 0.67/0.93 [102]~P70(x1021)+P70(x1022)+~E(x1021,x1022) % 0.67/0.93 [103]~P9(x1031)+P9(x1032)+~E(x1031,x1032) % 0.67/0.93 [104]~P13(x1041)+P13(x1042)+~E(x1041,x1042) % 0.67/0.93 [105]~P15(x1051)+P15(x1052)+~E(x1051,x1052) % 0.67/0.93 [106]~P54(x1061)+P54(x1062)+~E(x1061,x1062) % 0.67/0.93 [107]~P73(x1071)+P73(x1072)+~E(x1071,x1072) % 0.67/0.93 [108]~P3(x1081)+P3(x1082)+~E(x1081,x1082) % 0.67/0.93 [109]~P21(x1091)+P21(x1092)+~E(x1091,x1092) % 0.67/0.93 [110]~P49(x1101)+P49(x1102)+~E(x1101,x1102) % 0.67/0.93 [111]~P63(x1111)+P63(x1112)+~E(x1111,x1112) % 0.67/0.93 [112]~P4(x1121)+P4(x1122)+~E(x1121,x1122) % 0.67/0.93 [113]~P17(x1131)+P17(x1132)+~E(x1131,x1132) % 0.67/0.93 [114]~P65(x1141)+P65(x1142)+~E(x1141,x1142) % 0.67/0.93 [115]~P41(x1151)+P41(x1152)+~E(x1151,x1152) % 0.67/0.93 [116]~P55(x1161)+P55(x1162)+~E(x1161,x1162) % 0.67/0.93 [117]~P50(x1171)+P50(x1172)+~E(x1171,x1172) % 0.67/0.93 [118]~P67(x1181)+P67(x1182)+~E(x1181,x1182) % 0.67/0.93 [119]~P7(x1191)+P7(x1192)+~E(x1191,x1192) % 0.67/0.93 [120]~P25(x1201)+P25(x1202)+~E(x1201,x1202) % 0.67/0.93 [121]~P72(x1211)+P72(x1212)+~E(x1211,x1212) % 0.67/0.93 [122]~P19(x1221)+P19(x1222)+~E(x1221,x1222) % 0.67/0.93 [123]~P56(x1231)+P56(x1232)+~E(x1231,x1232) % 0.67/0.93 [124]~P57(x1241)+P57(x1242)+~E(x1241,x1242) % 0.67/0.93 [125]~P22(x1251)+P22(x1252)+~E(x1251,x1252) % 0.67/0.93 [126]~P34(x1261)+P34(x1262)+~E(x1261,x1262) % 0.67/0.93 [127]~P53(x1271)+P53(x1272)+~E(x1271,x1272) % 0.67/0.93 [128]~P20(x1281)+P20(x1282)+~E(x1281,x1282) % 0.67/0.93 [129]~P33(x1291)+P33(x1292)+~E(x1291,x1292) % 0.67/0.93 [130]~P16(x1301)+P16(x1302)+~E(x1301,x1302) % 0.67/0.93 [131]~P28(x1311)+P28(x1312)+~E(x1311,x1312) % 0.67/0.93 [132]~P51(x1321)+P51(x1322)+~E(x1321,x1322) % 0.67/0.93 [133]~P29(x1331)+P29(x1332)+~E(x1331,x1332) % 0.67/0.93 [134]~P58(x1341)+P58(x1342)+~E(x1341,x1342) % 0.67/0.93 [135]~P45(x1351)+P45(x1352)+~E(x1351,x1352) % 0.67/0.93 [136]~P71(x1361)+P71(x1362)+~E(x1361,x1362) % 0.67/0.93 [137]~P18(x1371)+P18(x1372)+~E(x1371,x1372) % 0.67/0.93 [138]~P42(x1381)+P42(x1382)+~E(x1381,x1382) % 0.67/0.93 [139]~P47(x1391)+P47(x1392)+~E(x1391,x1392) % 0.67/0.93 [140]~P27(x1401)+P27(x1402)+~E(x1401,x1402) % 0.67/0.93 [141]~P52(x1411)+P52(x1412)+~E(x1411,x1412) % 0.67/0.93 [142]~P46(x1421)+P46(x1422)+~E(x1421,x1422) % 0.67/0.93 [143]~P35(x1431)+P35(x1432)+~E(x1431,x1432) % 0.67/0.93 % 0.67/0.93 %------------------------------------------- % 0.67/0.93 cnf(1066,plain, % 0.67/0.93 ($false), % 0.67/0.93 inference(scs_inference,[],[281,273,1021]), % 0.67/0.93 ['proof']). % 0.67/0.93 % SZS output end Proof % 0.67/0.93 % Total time :0.060000s %------------------------------------------------------------------------------