%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG348-1 : 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 : n019.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 03:41:24 EDT 2024 % Result : Unsatisfiable 0.87s 0.91s % Output : CNFRefutation 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ALG348-1 : TPTP v8.2.0. Released v4.1.0. % 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.10/0.32 % Computer : n019.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.32 % DateTime : Wed Jun 19 16:37:39 EDT 2024 % 0.10/0.32 % CPUTime : % 0.16/0.53 start to proof:theBenchmark % 0.66/0.84 %------------------------------------------- % 0.66/0.84 % File :CSE---1.7 % 0.66/0.84 % Problem :theBenchmark % 0.66/0.84 % Transform :cnf % 0.66/0.84 % Format :tptp:raw % 0.66/0.84 % Command :java -jar mcs_scs.jar %d %s % 0.66/0.84 % 0.66/0.84 % Result :Theorem 0.060000s % 0.66/0.84 % Output :CNFRefutation 0.060000s % 0.66/0.84 %------------------------------------------- % 0.66/0.84 %------------------------------------------------------------------------------ % 0.66/0.84 % File : ALG348-1 : TPTP v8.2.0. Released v4.1.0. % 0.66/0.84 % Domain : General Algebra % 0.66/0.84 % Problem : Fundamental theorem of algebra 0150_5 % 0.66/0.84 % Version : Especial. % 0.66/0.84 % English : % 0.66/0.84 % 0.66/0.84 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.66/0.84 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.66/0.84 % Source : [Nip10] % 0.66/0.84 % Names : Fundamental_Theorem_Algebra-0150_5 [Nip10] % 0.66/0.84 % 0.66/0.84 % Status : Unsatisfiable % 0.66/0.84 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.40 v5.4.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.36 v4.1.0 % 0.66/0.84 % Syntax : Number of clauses : 980 ( 137 unt; 113 nHn; 614 RR) % 0.66/0.84 % Number of literals : 2739 ( 469 equ;1646 neg) % 0.66/0.84 % Maximal clause size : 6 ( 2 avg) % 0.66/0.84 % Maximal term depth : 5 ( 1 avg) % 0.66/0.84 % Number of predicates : 72 ( 71 usr; 0 prp; 1-3 aty) % 0.66/0.84 % Number of functors : 30 ( 30 usr; 7 con; 0-3 aty) % 0.66/0.84 % Number of variables : 2728 ( 140 sgn) % 0.66/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.66/0.84 % 0.66/0.84 % Comments : % 0.66/0.84 %------------------------------------------------------------------------------ % 0.66/0.84 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Olattice(T_a) % 0.66/0.84 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_inf__le1_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.84 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_inf__le2_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.84 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_le__infI_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.84 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 0.66/0.84 | ~ c_lessequals(V_x,V_b,T_a) % 0.66/0.84 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_le__inf__iff_2,axiom, % 0.66/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.84 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.66/0.84 | ~ c_lessequals(V_x,V_z,T_a) % 0.66/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_inf__greatest_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.84 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.66/0.84 | ~ c_lessequals(V_x,V_z,T_a) % 0.66/0.84 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_abs__less__iff_2,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.66/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__le__0__iff_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__le__0__iff_1,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__le__0__iff_2,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.84 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__le__0__iff_3,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.84 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.84 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__neg__pos_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__pos__neg_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__pos__neg2_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_abs__le__D2_0,axiom, % 0.66/0.84 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.66/0.84 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.66/0.84 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_sup__inf__distrib1_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.66/0.84 | 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) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_sup__inf__distrib2_0,axiom, % 0.66/0.84 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.66/0.84 | 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) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_dvd__mult_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.66/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_dvd__mult2_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.66/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_dvd__mult__left_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.66/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_dvd__mult__right_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.84 | c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.66/0.84 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_pCons__eq__iff_1,axiom, % 0.66/0.84 ( ~ class_HOL_Ozero(T_a) % 0.66/0.84 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.66/0.84 | V_p = V_q ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_pCons__eq__iff_0,axiom, % 0.66/0.84 ( ~ class_HOL_Ozero(T_a) % 0.66/0.84 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_Polynomial_OpCons(V_b,V_q,T_a) % 0.66/0.84 | V_a = V_b ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_pos__add__strict_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.66/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__mono1_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__left__mono_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__right__mono_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__left__mono__neg_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_mult__right__mono__neg_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.84 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_sup__eq__if_1,axiom, % 0.66/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.84 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.66/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a % 0.66/0.84 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.66/0.84 | ~ class_Int_Onumber__ring(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | V_c = V_d % 0.66/0.84 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.84 | 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) % 0.66/0.84 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_divide__less__eq_0,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.84 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.66/0.84 % 0.66/0.84 cnf(cls_divide__less__eq_6,axiom, % 0.66/0.84 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.84 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.84 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.66/0.84 % 0.66/0.85 cnf(cls_less__divide__eq_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_less__divide__eq_6,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__imp__div__pos__less_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__imp__less__div__pos_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__supE_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_lessequals(V_a,V_x,T_a) % 0.66/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__supE_1,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_lessequals(V_b,V_x,T_a) % 0.66/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__supI1_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__supI2_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__sup__iff_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_lessequals(V_x,V_z,T_a) % 0.66/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__sup__iff_1,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_lessequals(V_y,V_z,T_a) % 0.66/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__less__divide__iff_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__less__divide__iff_1,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__less__divide__iff_2,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__less__divide__iff_3,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_divide__nonneg__neg_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_divide__nonpos__pos_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.66/0.85 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__idem_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.66/0.85 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__strict__mono_H_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.66/0.85 | 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) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_less__eqI_1,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.66/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_less__eqI_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.66/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__eqI_1,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.66/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.66/0.85 | c_lessequals(V_y,V_x,T_a) % 0.66/0.85 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__eqI_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.66/0.85 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.66/0.85 | c_lessequals(V_y_H,V_x_H,T_a) % 0.66/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_inf__period_I4_J_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.66/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.66/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.66/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_inf__period_I4_J_1,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Ocomm__ring(T_a) % 0.66/0.85 | c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a) % 0.66/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a) % 0.66/0.85 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_order__less__le_2,axiom, % 0.66/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.85 | V_x = V_y % 0.66/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_order__le__less_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.85 | V_x = V_y % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_order__le__neq__trans_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.66/0.85 | V_a = V_b % 0.66/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_order__neq__le__trans_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.66/0.85 | ~ c_lessequals(V_a,V_b,T_a) % 0.66/0.85 | V_a = V_b ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.85 | V_x = V_y % 0.66/0.85 | ~ c_lessequals(V_x,V_y,T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.85 | V_x = V_y % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_xt1_I12_J_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.66/0.85 | ~ c_lessequals(V_b,V_a,T_a) % 0.66/0.85 | V_a = V_b ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_xt1_I11_J_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.66/0.85 | V_a = V_b % 0.66/0.85 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_divide__right__mono_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.66/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_divide__right__mono__neg_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_split__mult__pos__le_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_split__mult__pos__le_1,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__square_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__mult__iff_4,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__mult__iff_5,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_abs__triangle__ineq2_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_frac__less_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_w,V_z,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.66/0.85 | 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) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_less__supI1_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_less__supI2_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.66/0.85 | c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.66/0.85 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_abs__minus__commute_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_minus__divide__right_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.85 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_minus__divide__left_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.85 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__mult__iff_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__mult__iff_1,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__mult__iff_2,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_zero__le__mult__iff_3,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.66/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_neg__equal__zero_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.66/0.85 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 0.66/0.85 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.66/0.85 | ~ 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_diff__frac__eq_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.85 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.66/0.85 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.66/0.85 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.66/0.85 ( ~ class_Lattices_Olattice(T_a) % 0.66/0.85 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_neg__le__0__iff__le_1,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_neg__le__0__iff__le_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_mult__left__idem_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__eq__neg_1,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.66/0.85 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.66/0.85 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_le__eq__neg_0,axiom, % 0.66/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.66/0.85 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.85 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.66/0.85 % 0.66/0.85 cnf(cls_minus__mult__right_0,axiom, % 0.66/0.85 ( ~ class_Ring__and__Field_Oring(T_a) % 0.66/0.85 | 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) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_minus__mult__left_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Oring(T_a) % 0.66/0.86 | 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) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_mult__frac__frac_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.86 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_abs__eq__mult_3,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.66/0.86 | 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) % 0.66/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_abs__eq__mult_2,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.66/0.86 | 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) % 0.66/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_abs__eq__mult_1,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.66/0.86 | 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) % 0.66/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.66/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_abs__eq__mult_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 0.66/0.86 | 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) % 0.66/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.66/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_abs__mult_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.66/0.86 | 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) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_dvd__mult__cancel__right_1,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.66/0.86 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_dvd__mult__cancel__left_1,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.66/0.86 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_dvd__trans_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.66/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a) % 0.66/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_dvd__refl_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.66/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_scaleR__right_Odiff_0,axiom, % 0.66/0.86 ( ~ class_RealVector_Oreal__vector(T_a) % 0.66/0.86 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_scaleR_Odiff__right_0,axiom, % 0.66/0.86 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.66/0.86 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_less__infI2_0,axiom, % 0.66/0.86 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.66/0.86 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_less__infI1_0,axiom, % 0.66/0.86 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.66/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_inf__sup__absorb_0,axiom, % 0.66/0.86 ( ~ class_Lattices_Olattice(T_a) % 0.66/0.86 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_abs__of__nonneg_0,axiom, % 0.66/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.66/0.86 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.66/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_min__max_Osup__idem_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.86 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.86 | V_x = V_y ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.86 | V_x = V_y % 0.66/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.86 | V_x = V_y % 0.66/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_linorder__less__linear_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.66/0.86 | V_x = V_y % 0.66/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_order__antisym__conv_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.86 | V_x = V_y % 0.66/0.86 | ~ c_lessequals(V_x,V_y,T_a) % 0.66/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_order__eq__iff_2,axiom, % 0.66/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.86 | V_x = V_y % 0.66/0.86 | ~ c_lessequals(V_y,V_x,T_a) % 0.66/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_linorder__neqE_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.66/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.66/0.86 | V_x = V_y ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_order__antisym_0,axiom, % 0.66/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.66/0.86 | V_x = V_y % 0.66/0.86 | ~ c_lessequals(V_y,V_x,T_a) % 0.66/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_real__le__antisym_0,axiom, % 0.66/0.86 ( V_z = V_w % 0.66/0.86 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.66/0.86 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.66/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.66/0.86 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.66/0.86 | V_x = V_y ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.66/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.66/0.86 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.66/0.86 | V_a = V_b ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_eq__divide__imp_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.66/0.86 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_divide__eq__imp_0,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.66/0.86 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_estimate__by__abs_0,axiom, % 0.66/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.66/0.86 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 0.66/0.86 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_eq__divide__eq_3,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.66/0.86 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 0.66/0.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.66/0.86 % 0.66/0.86 cnf(cls_divide__eq__eq_3,axiom, % 0.66/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.66/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.86 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 0.78/0.86 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.78/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.86 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_distrib__sup__le_0,axiom, % 0.78/0.86 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__le__zero__iff_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__lattice_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.86 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_sup__0__imp__0_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_add__nonpos__neg_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_add__neg__nonpos_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_neg__less__iff__less_1,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_neg__less__iff__less_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__div__pos_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.86 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_le__divide__eq_8,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.86 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_divide__le__eq_8,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.86 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.86 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_inf__left__commute_0,axiom, % 0.78/0.86 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_inf__assoc_0,axiom, % 0.78/0.86 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.78/0.86 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.78/0.86 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.86 | 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__less__iff_1,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_zero__less__mult__pos_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__pos__pos_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__neg__neg_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_even__less__0__iff_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_even__less__0__iff_1,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.78/0.86 | 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) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__eq__0__iff_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.78/0.86 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_no__zero__divisors_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.78/0.86 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.78/0.86 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_diff__divide__distrib_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.86 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_divide_Odiff_0,axiom, % 0.78/0.86 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.78/0.86 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.86 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.78/0.86 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.86 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.78/0.86 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_dvd__diff_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.78/0.86 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) % 0.78/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a) % 0.78/0.86 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_right__minus__eq_1,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_diff__0__right_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.86 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_diff__self_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.86 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.86 | ~ class_Int_Onumber__ring(T_a) % 0.78/0.86 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__of__neg_0,axiom, % 0.78/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.86 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__if_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.78/0.86 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_abs__if__lattice_0,axiom, % 0.78/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.86 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.78/0.86 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_square__eq__iff_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.86 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 0.78/0.86 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.78/0.86 | V_a = V_b ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.78/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.86 | ~ 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) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__imp__le__div__pos_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_mult__imp__div__pos__le_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 0.78/0.86 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_le__divide__eq_6,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.86 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.86 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_le__divide__eq_0,axiom, % 0.78/0.86 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.86 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.86 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.86 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.78/0.86 % 0.78/0.86 cnf(cls_divide__le__eq_6,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__le__eq_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult_Ominus__left_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__left_Ominus_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult_Ominus__right_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__right_Ominus_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_square__eq__iff_1,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_minus__mult__minus_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oring(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__mono_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.78/0.87 | 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) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_c,V_d,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__mono_H_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.78/0.87 | 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) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.87 | ~ c_lessequals(V_c,V_d,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__less__eq_2,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__less__eq_3,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__less__eq_8,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__less__eq_9,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_less__divide__eq_2,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_less__divide__eq_3,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_less__divide__eq_8,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_less__divide__eq_9,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.87 | ~ 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.87 | ~ 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mod__minus__eq_0,axiom, % 0.78/0.87 ( ~ class_Divides_Oring__div(T_a) % 0.78/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a),V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_compl__sup_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_neg__sup__eq__inf_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__neg__neg_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__pos__pos_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_zero__less__divide__iff_4,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_zero__less__divide__iff_5,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Osup__commute_0,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_group__add__class_Odiff__0_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_offset__poly__single_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.78/0.87 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_h,T_a) = c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_add__frac__num_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.78/0.87 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_add__num__frac_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 0.78/0.87 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_order__root_1,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.87 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_poly__0_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.78/0.87 | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_diff__def_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_class__ring_Osub__add_0,axiom, % 0.78/0.87 ( ~ class_Int_Onumber__ring(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_diff__minus_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_ab__diff__minus_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.87 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.78/0.87 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__minus__iff_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__minus__iff_1,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_minus__dvd__iff_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_minus__dvd__iff_1,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__ring__1(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__infE_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.87 | c_lessequals(V_x,V_a,T_a) % 0.78/0.87 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__infE_1,axiom, % 0.78/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.87 | c_lessequals(V_x,V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__infI1_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.87 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__infI2_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.87 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.78/0.87 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__inf__iff_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.87 | c_lessequals(V_x,V_y,T_a) % 0.78/0.87 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__inf__iff_1,axiom, % 0.78/0.87 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.87 | c_lessequals(V_x,V_z,T_a) % 0.78/0.87 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__strict__right__mono_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mod__diff__eq_0,axiom, % 0.78/0.87 ( ~ class_Divides_Oring__div(T_a) % 0.78/0.87 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__nonneg__pos_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__nonpos__neg_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__self__if_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_abs__leI_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_abs__le__iff_2,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_abs__minus__cancel_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_not__square__less__zero_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | ~ 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__le__0__iff_4,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__le__0__iff_5,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_split__mult__neg__le_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_split__mult__neg__le_1,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_abs__le__zero__iff_1,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_add__nonneg__pos_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.87 | 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) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_add__pos__nonneg_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.87 | 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) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__imp__mod__0_0,axiom, % 0.78/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.87 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__eq__mod__eq__0_1,axiom, % 0.78/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.87 | c_Divides_Odiv__class_Omod(V_b,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_pCons__0__0_0,axiom, % 0.78/0.87 ( ~ class_HOL_Ozero(T_a) % 0.78/0.87 | 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)) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__0__left_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_distrib__inf__le_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.87 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.87 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__supI_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.78/0.87 | ~ c_lessequals(V_b,V_x,T_a) % 0.78/0.87 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_sup__ge1_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.87 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_sup__ge2_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.87 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_sup__least_0,axiom, % 0.78/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.78/0.87 | ~ c_lessequals(V_z,V_x,T_a) % 0.78/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__sup__iff_2,axiom, % 0.78/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.78/0.87 | ~ c_lessequals(V_y,V_z,T_a) % 0.78/0.87 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__le__eq_5,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_divide__le__eq_7,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__divide__eq_5,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__divide__eq_7,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.87 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.87 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_neg__0__le__iff__le_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_neg__0__le__iff__le_1,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.87 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.78/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult_OscaleR__left_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__left_OscaleR_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult_OscaleR__right_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__right_OscaleR_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.87 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__scaleR__left_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.78/0.87 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_mult__scaleR__right_0,axiom, % 0.78/0.87 ( ~ class_RealVector_Oreal__algebra(T_a) % 0.78/0.87 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_max__diff__distrib__left_0,axiom, % 0.78/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.87 | 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 0.78/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.78/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.87 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 0.78/0.87 | c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__mod__imp__dvd_0,axiom, % 0.78/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__mod__iff_1,axiom, % 0.78/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__mod__iff_0,axiom, % 0.78/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_dvd__mod_0,axiom, % 0.78/0.87 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.87 | c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Divides_Odiv__class_Omod(V_m,V_n,T_a),T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_n,T_a) % 0.78/0.87 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_k,V_m,T_a) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__add__iff2_1,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.87 | 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) % 0.78/0.87 | ~ 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) ) ). % 0.78/0.87 % 0.78/0.87 cnf(cls_le__add__iff2_0,axiom, % 0.78/0.87 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__add__iff1_1,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__add__iff1_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_divide__le__0__iff_5,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_divide__le__0__iff_4,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__eq__inf__sup_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__increasing2_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.78/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.78/0.88 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_b,V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__increasing_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.78/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.78/0.88 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_b,V_c,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_scaleR__minus__right_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__vector(T_a) % 0.78/0.88 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_scaleR_Ominus__right_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.78/0.88 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__minus__le__zero_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.78/0.88 | ~ c_lessequals(V_y,V_z,T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Osup__least_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.78/0.88 | ~ c_lessequals(V_z,V_x,T_a) % 0.78/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Ole__supI_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.78/0.88 | ~ c_lessequals(V_b,V_x,T_a) % 0.78/0.88 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__maxI1_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__maxI2_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_eq__add__iff2_1,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_neg__le__iff__le_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(V_a,V_b,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__imp__neg__le_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__le__mult_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__le__D1_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | c_lessequals(V_a,V_b,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__strict__mono_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zmod__simps_I4_J_0,axiom, % 0.78/0.88 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_divide__left__mono__neg_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.78/0.88 | ~ 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) % 0.78/0.88 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_divide__left__mono_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.78/0.88 | ~ 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) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.88 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_z,T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_z,T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Ole__infI_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_b,T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_max__less__iff__conj_2,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_complex__mod__cnj_0,axiom, % 0.78/0.88 c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_dvd__triv__right_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_dvd__triv__left_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_dvdI_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Odvd(T_a) % 0.78/0.88 | c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_frac__less2_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_y,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_nonzero__minus__divide__right_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.78/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_neg__less__0__iff__less_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_neg__less__0__iff__less_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mod__0_0,axiom, % 0.78/0.88 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__less__iff__conj_2,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__triangle__ineq3_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__mult__less_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_pcompose__0_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.78/0.88 | 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)) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_inf__sup__distrib2_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_inf__sup__distrib1_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.88 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.88 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_sup__idem_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_xt1_I10_J_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Oorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_order__less__trans_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Opreorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__eq__0_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.88 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.78/0.88 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__triangle__ineq_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_less__le__not__le_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Opreorder(T_a) % 0.78/0.88 | ~ c_lessequals(V_y,V_x,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_not__leE_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.78/0.88 | c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_x,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.78/0.88 | c_lessequals(V_x,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_linorder__not__less_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.78/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_linorder__not__less_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_lessequals(V_y,V_x,T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_linorder__not__le_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.78/0.88 | c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_linorder__not__le_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | ~ c_lessequals(V_x,V_y,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__le__divide__iff_3,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__le__divide__iff_2,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__le__divide__iff_1,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__le__divide__iff_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__strict__increasing2_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.78/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_eq__eqI_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.78/0.88 | V_x_H = V_y_H ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_eq__eqI_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.88 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.78/0.88 | V_xa = V_y ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_diff__eq_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.88 | c_lessequals(V_a,V_b,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.88 | ~ 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.78/0.88 | c_lessequals(V_a,V_b,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.88 | ~ 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ c_lessequals(V_a,V_b,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.88 | c_lessequals(V_a,V_b,T_a) % 0.78/0.88 | ~ 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) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ c_lessequals(V_b,V_a,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.88 | c_lessequals(V_b,V_a,T_a) % 0.78/0.88 | ~ 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) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_sup__left__commute_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_sup__assoc_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_minus__divide__divide_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.88 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_divide_Ominus_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.78/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_inf__absorb2_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 0.78/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__iff__inf_1,axiom, % 0.78/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 0.78/0.88 | c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__iff__inf_0,axiom, % 0.78/0.88 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 0.78/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_max__less__iff__conj_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_max__less__iff__conj_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_less__max__iff__disj_2,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_less__max__iff__disj_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 0.78/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_nonzero__abs__divide_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.88 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 0.78/0.88 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mod__diff__left__eq_0,axiom, % 0.78/0.88 ( ~ class_Divides_Oring__div(T_a) % 0.78/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mod__diff__right__eq_0,axiom, % 0.78/0.88 ( ~ class_Divides_Oring__div(T_a) % 0.78/0.88 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.78/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.78/0.88 | c_lessequals(V_x,V_y,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.78/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_divide_OscaleR_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.78/0.88 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_sup__eq__if_0,axiom, % 0.78/0.88 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.88 | ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_inf__0__imp__0_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_DERIV__mult__lemma_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__field(T_a) % 0.78/0.88 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mod__mod__trivial_0,axiom, % 0.78/0.88 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.88 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_add__strict__increasing_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.78/0.88 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_b,V_c,T_a) % 0.78/0.88 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_min__diff__distrib__left_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__minus__self__iff_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_le__minus__self__iff_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_minus__le__self__iff_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_minus__le__self__iff_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_less__eq__neg__nonpos_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_less__eq__neg__nonpos_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.78/0.88 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_neg__less__eq__nonneg_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_neg__less__eq__nonneg_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.78/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 0.78/0.88 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_eq__add__iff1_1,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_dvd__mult__cancel__left_2,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.78/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_dvd__mult__cancel__right_2,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.88 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.78/0.88 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_abs__idempotent_0,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_eq__add__iff1_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | 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 ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_eq__add__iff2_0,axiom, % 0.78/0.88 ( ~ class_Ring__and__Field_Oring(T_a) % 0.78/0.88 | 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) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_zero__less__abs__iff_1,axiom, % 0.78/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.88 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 0.78/0.88 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_norm__minus__cancel_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.78/0.88 | 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) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_complex__cnj__cnj_0,axiom, % 0.78/0.88 c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ). % 0.78/0.88 % 0.78/0.88 cnf(cls_scaleR_OscaleR__right_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.78/0.88 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_scaleR__left__commute_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__vector(T_a) % 0.78/0.88 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_scaleR__right_OscaleR_0,axiom, % 0.78/0.88 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.78/0.88 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ). % 0.78/0.88 % 0.78/0.88 cnf(cls_mod__by__0_0,axiom, % 0.78/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mod__self_0,axiom, % 0.78/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__le__0__iff_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__le__0__iff_1,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__le__0__iff_2,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__le__0__iff_3,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.78/0.89 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_pCons__eq__0__iff_1,axiom, % 0.78/0.89 ( ~ class_HOL_Ozero(T_a) % 0.78/0.89 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.78/0.89 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_pCons__eq__0__iff_0,axiom, % 0.78/0.89 ( ~ class_HOL_Ozero(T_a) % 0.78/0.89 | c_Polynomial_OpCons(V_a,V_p,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.78/0.89 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mod__minus__cong_0,axiom, % 0.78/0.89 ( ~ class_Divides_Oring__div(T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(V_a,V_b,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_b,T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(V_a_H,T_a),V_b,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mod__mult__eq_0,axiom, % 0.78/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_le__max__iff__disj_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_z,V_y,T_a) % 0.78/0.89 | c_lessequals(V_z,V_x,T_a) % 0.78/0.89 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__infE_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,V_a,T_a) % 0.78/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__infE_1,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,V_b,T_a) % 0.78/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.78/0.89 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.78/0.89 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__le__iff__disj_1,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.78/0.89 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__le__iff__disj_2,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.78/0.89 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,V_y,T_a) % 0.78/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,V_z,T_a) % 0.78/0.89 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__less__eq_1,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__less__eq_4,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__less__eq_5,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__less__eq_7,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__divide__eq_1,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__divide__eq_4,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__divide__eq_5,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__divide__eq_7,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_abs__ge__minus__self_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.89 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_add__pCons_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.78/0.89 | c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_abs__ge__self_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.78/0.89 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__add__iff1_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.89 | 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) % 0.78/0.89 | ~ 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__add__iff1_1,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.89 | 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) % 0.78/0.89 | ~ 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__add__iff2_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.89 | 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) % 0.78/0.89 | ~ 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__add__iff2_1,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.78/0.89 | 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) % 0.78/0.89 | ~ 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__le__iff__disj_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_y,V_z,T_a) % 0.78/0.89 | c_lessequals(V_x,V_z,T_a) % 0.78/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_eq__divide__eq_4,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__supE_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_a,V_x,T_a) % 0.78/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__supE_1,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_b,V_x,T_a) % 0.78/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.78/0.89 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.78/0.89 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_le__max__iff__disj_1,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.78/0.89 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_le__max__iff__disj_2,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.78/0.89 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_x,V_z,T_a) % 0.78/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_lessequals(V_y,V_z,T_a) % 0.78/0.89 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_less__max__iff__disj_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_minus__unique_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.89 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_abs__less__iff_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__less__iff__disj_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_abs__mult__self_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mod__mult__cong_0,axiom, % 0.78/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.78/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_dvd__0__right_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.89 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_add__frac__eq_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.89 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 0.78/0.89 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_divide__eq__eq_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 0.78/0.89 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_eq__divide__eq_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.78/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 0.78/0.89 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult__left_Ozero_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult_Ozero__left_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult_Ozero__right_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult__right_Ozero_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.78/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_inf__commute_0,axiom, % 0.78/0.89 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.78/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.78/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.78/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.78/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.78/0.89 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_scaleR_Ozero__right_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.78/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_scaleR__eq__0__iff_2,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__vector(T_a) % 0.78/0.89 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_ab__left__minus_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_right__minus_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_left__minus_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_add__neg__neg_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.78/0.89 | 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) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.78/0.89 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.78/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | V_a = V_b ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_right__minus__eq_0,axiom, % 0.78/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.78/0.89 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | V_a = V_b ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.78/0.89 | ~ class_Int_Onumber__ring(T_a) % 0.78/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | V_x = V_y ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | ~ 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.78/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.78/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.78/0.89 | ~ 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult__right_Odiff_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult_Odiff__right_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.78/0.89 | 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) ) ). % 0.78/0.89 % 0.78/0.89 cnf(cls_mult_Odiff__left_0,axiom, % 0.78/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__left_Odiff_0,axiom, % 0.87/0.89 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__zero__left_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__eq__eq_1,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__zero_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide_Ozero_0,axiom, % 0.87/0.89 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.87/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__less__iff__disj_2,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__less__iff__disj_1,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__less__iff__conj_1,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__less__iff__conj_0,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_abs__diff__less__iff_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 0.87/0.89 | ~ 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_abs__divide_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_abs__of__pos_0,axiom, % 0.87/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mod__mult__right__eq_0,axiom, % 0.87/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mod__mult__left__eq_0,axiom, % 0.87/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_inf__eq__neg__sup_0,axiom, % 0.87/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_sup__commute_0,axiom, % 0.87/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.87/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.87/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.87/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_neg__inf__eq__sup_0,axiom, % 0.87/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_compl__inf_0,axiom, % 0.87/0.89 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__less__0__iff_3,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__less__0__iff_2,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__less__0__iff_1,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_divide__less__0__iff_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.87/0.89 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 0.87/0.89 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_sup__left__idem_0,axiom, % 0.87/0.89 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.87/0.89 ( ~ class_Lattices_Olattice(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__frac__num_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.89 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.89 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_abs__of__nonpos_0,axiom, % 0.87/0.89 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.89 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 0.87/0.89 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__strict__right__mono_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__strict__left__mono_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.89 | ~ 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.87/0.89 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.89 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.89 | ~ 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) % 0.87/0.89 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_norm__minus__commute_0,axiom, % 0.87/0.89 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.87/0.89 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_diff__minus__eq__add_0,axiom, % 0.87/0.89 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.89 | 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) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mod__mult__self2_0,axiom, % 0.87/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_mod__mult__self1_0,axiom, % 0.87/0.89 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.89 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.87/0.89 % 0.87/0.89 cnf(cls_dvd__mult__cancel__right_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.87/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_dvd__mult__cancel__left_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) % 0.87/0.90 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__poly__code_I1_J_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a)) = V_q ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__poly__code_I2_J_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.90 | c_HOL_Oplus__class_Oplus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)) = V_p ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__divide__eq_9,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__divide__eq_3,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__divide__eq_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__le__eq_9,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.87/0.90 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__le__eq_3,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__le__eq_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_id__apply_0,axiom, % 0.87/0.90 c_Fun_Oid(V_x,T_a) = V_x ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__diff__less__iff_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__equation__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_equation__minus__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_equation__minus__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_double__compl_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.87/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__minus_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__diff__eq_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__less__le__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(V_c,V_d,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__le__less__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__less__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__less__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__minus__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__minus__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__le__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__le__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__minus__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__minus__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__zero__left_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.87/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__zero__right_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.87/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__eq__0__iff_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.87/0.90 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__eq__0__iff_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.87/0.90 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__mult__pos_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__dvd__iff_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__dvd__iff_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(V_m,T_a),V_k,T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_dvd__abs__iff_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_dvd__abs__iff_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_m,c_HOL_Oabs__class_Oabs(V_k,T_a),T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_m,V_k,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_linorder__neq__iff_1,axiom, % 0.87/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__less__le_1,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__less__irrefl_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__le__not__le_2,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.87/0.90 | c_lessequals(V_y,V_x,T_a) % 0.87/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_sup__inf__absorb_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.87/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__pos__pos_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__diff__cong_0,axiom, % 0.87/0.90 ( ~ class_Divides_Oring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(V_a,V_b,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__le__less_1,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | c_lessequals(V_x,V_y,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__less__imp__le_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | c_lessequals(V_x,V_y,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__iff__sup_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.87/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.87/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__iff__sup_1,axiom, % 0.87/0.90 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.87/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.87/0.90 | c_lessequals(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_sup__absorb1_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.87/0.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.87/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_zero__le__divide__iff_4,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_zero__le__divide__iff_5,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_frac__le_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_w,V_z,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 0.87/0.90 | ~ c_lessequals(V_x,V_y,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__not__less__zero_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__strict__left__mono_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.87/0.90 | ~ 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 0.87/0.90 | ~ 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.87/0.90 | ~ c_lessequals(V_c,V_d,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_complex__cnj__cancel__iff_0,axiom, % 0.87/0.90 ( c_Complex_Ocnj(V_x) != c_Complex_Ocnj(V_y) % 0.87/0.90 | V_x = V_y ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__mult__commute_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oring(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__triangle__ineq4_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__zero_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_neg__equal__zero_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Olattice(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_inf__left__idem_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__mod__cancel_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(V_a,V_c,T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__if__lattice_1,axiom, % 0.87/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.90 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 0.87/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__if_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 0.87/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__dvd__mono_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__le__eq_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__le__eq_4,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__divide__eq_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__divide__eq_4,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__eq__0_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.90 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_inf__idem_0,axiom, % 0.87/0.90 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.87/0.90 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_zero__less__abs__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__neg__pos_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__pos__neg_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__less__0__iff_4,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__less__0__iff_5,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__eq__refl_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | c_lessequals(V_x,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__eq__iff_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | c_lessequals(V_x,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_real__le__trans_0,axiom, % 0.87/0.90 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 0.87/0.90 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 0.87/0.90 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_real__le__refl_0,axiom, % 0.87/0.90 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__le__less__trans_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.87/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__less__le__trans_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.87/0.90 | ~ c_lessequals(V_y,V_z,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__trans_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | c_lessequals(V_x,V_z,T_a) % 0.87/0.90 | ~ c_lessequals(V_y,V_z,T_a) % 0.87/0.90 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_xt1_I8_J_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.87/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_xt1_I7_J_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.87/0.90 | ~ c_lessequals(V_z,V_y,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_xt1_I6_J_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | c_lessequals(V_z,V_x,T_a) % 0.87/0.90 | ~ c_lessequals(V_z,V_y,T_a) % 0.87/0.90 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__mult__self1__is__0_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__mult__self2__is__0_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_scaleR__cancel__right_1,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.87/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_scaleR__cancel__right_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.87/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a) % 0.87/0.90 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | V_a = V_b ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__diff__less__iff_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_eq__divide__eq_2,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_sup__eq__neg__inf_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_neg__0__less__iff__less_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_neg__0__less__iff__less_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_frac__eq__eq_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.90 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 0.87/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_frac__eq__eq_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.90 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 0.87/0.90 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__mult__mult1_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_c,c_Divides_Odiv__class_Omod(V_a,V_b,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__mult__mult2_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__minus__self__iff_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_less__minus__self__iff_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__ge__zero_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.90 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_divide__eq__eq_4,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.90 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 0.87/0.90 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_dvd__if__abs__eq_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.87/0.90 | c_HOL_Oabs__class_Oabs(V_l,T_a) != c_HOL_Oabs__class_Oabs(V_k,T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_l,V_k,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__less__asym_H_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_order__less__asym_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Opreorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_linorder__linear_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.90 | c_lessequals(V_y,V_x,T_a) % 0.87/0.90 | c_lessequals(V_x,V_y,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_real__le__linear_0,axiom, % 0.87/0.90 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 0.87/0.90 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.87/0.90 ( ~ class_Orderings_Olinorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_xt1_I9_J_0,axiom, % 0.87/0.90 ( ~ class_Orderings_Oorder(T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__add__distrib_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__add_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_le__add__right__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.87/0.90 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 0.87/0.90 | ~ c_lessequals(V_c,V_d,T_a) % 0.87/0.90 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__strict__right__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__less__cancel__right_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__less__cancel__right_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__strict__left__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__less__cancel__left_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__less__cancel__left_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_abs__add__abs_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_minus__add__cancel_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | 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 ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__cancel__end_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.90 | 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 ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__strict__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.87/0.90 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | V_y = V_z % 0.87/0.90 | V_w = V_x ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | V_c = V_d % 0.87/0.90 | V_a = V_b ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__add__cong_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(V_c,V_d,T_a) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__inf__distrib__right_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__inf__distrib__left_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_min__add__distrib__left_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_dvd__add_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.90 | c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a) % 0.87/0.90 | ~ c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_max__add__distrib__left_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult_Oadd__left_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__left_Oadd_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult_Oadd__right_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mult__right_Oadd_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_zmod__simps_I1_J_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_zmod__simps_I2_J_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__minus__cancel_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | 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 ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__add__self2_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__add__self1_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__le__cancel__right_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__le__cancel__right_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | c_lessequals(V_a,V_b,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__le__cancel__left_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__le__cancel__left_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.87/0.90 | c_lessequals(V_a,V_b,T_a) % 0.87/0.90 | ~ 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__right__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__left__mono_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.87/0.90 | 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) % 0.87/0.90 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_double__eq__0__iff_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.87/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.90 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 0.87/0.90 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.90 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_diff__add__cancel_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.90 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_double__eq__0__iff_1,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__add__eq_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__sup__distrib__right_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__sup__distrib__left_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__add__right__eq_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_mod__add__left__eq_0,axiom, % 0.87/0.90 ( ~ class_Divides_Osemiring__div(T_a) % 0.87/0.90 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_combine__common__factor_0,axiom, % 0.87/0.90 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.87/0.90 | 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(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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.90 | 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) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_scaleR__right_Oadd_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__vector(T_a) % 0.87/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_scaleR_Oadd__right_0,axiom, % 0.87/0.90 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 0.87/0.90 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 0.87/0.90 % 0.87/0.90 cnf(cls_add__cancel__end_0,axiom, % 0.87/0.90 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.90 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 0.87/0.90 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__0__left_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.91 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.91 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__diff__cancel_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.87/0.91 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__divide__distrib_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ofield(T_a) % 0.87/0.91 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_divide_Oadd_0,axiom, % 0.87/0.91 ( ~ class_RealVector_Oreal__normed__field(T_a) % 0.87/0.91 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_poly__bound__exists_1,axiom, % 0.87/0.91 ( 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) % 0.87/0.91 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),V_r,tc_RealDef_Oreal) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_poly__pCons_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_id__def_0,axiom, % 0.87/0.91 c_Fun_Oid(v_x,t_a) = v_x ). % 0.87/0.91 % 0.87/0.91 cnf(cls_poly__pcompose_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_cnj_Oadd_0,axiom, % 0.87/0.91 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) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_offset__poly__eq__0__iff_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 0.87/0.91 | V_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_degree__offset__poly_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_offset__poly__0_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h,T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_poly__add_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(V_p,V_x,T_a),c_Polynomial_Opoly(V_q,V_x,T_a),T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__cancel__21_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.91 | 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) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__right__cancel_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 0.87/0.91 | V_b = V_c ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__left__cancel_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.87/0.91 | V_b = V_c ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__imp__eq_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 0.87/0.91 | V_b = V_c ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.87/0.91 | ~ class_Int_Onumber__ring(T_a) % 0.87/0.91 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 0.87/0.91 | V_y = V_z ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_poly__offset__poly_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a) % 0.87/0.91 | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_add__cancel__21_1,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.87/0.91 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.87/0.91 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.87/0.91 | 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) ) ). % 0.87/0.91 % 0.87/0.91 cnf(cls_conjecture_0,negated_conjecture, % 0.87/0.91 c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.87/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.87/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 0.87/0.91 class_Lattices_Oupper__semilattice(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 0.87/0.91 class_Lattices_Olower__semilattice(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 0.87/0.91 class_Lattices_Odistrib__lattice(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.87/0.91 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Divides_Osemiring__div,axiom, % 0.87/0.91 class_Divides_Osemiring__div(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Ring__and__Field_Odvd,axiom, % 0.87/0.91 class_Ring__and__Field_Odvd(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.87/0.91 class_Orderings_Opreorder(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.87/0.91 class_Orderings_Olinorder(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Lattices_Olattice,axiom, % 0.87/0.91 class_Lattices_Olattice(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.87/0.91 class_Orderings_Oorder(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_nat__HOL_Ozero,axiom, % 0.87/0.91 class_HOL_Ozero(tc_nat) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom, % 0.87/0.91 class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join,axiom, % 0.87/0.91 class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 0.87/0.91 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.87/0.91 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 0.87/0.91 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 0.87/0.91 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 0.87/0.91 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 0.87/0.91 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 0.87/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 0.87/0.91 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 0.87/0.91 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 0.87/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 0.87/0.91 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 0.87/0.91 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 0.87/0.91 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 0.87/0.91 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 0.87/0.91 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom, % 0.87/0.91 class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom, % 0.87/0.91 class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 0.87/0.91 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom, % 0.87/0.91 class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 0.87/0.91 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom, % 0.87/0.91 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom, % 0.87/0.91 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 0.87/0.91 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom, % 0.87/0.91 class_RealVector_Oreal__field(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 0.87/0.91 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 0.87/0.91 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 0.87/0.91 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom, % 0.87/0.91 class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 0.87/0.91 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 0.87/0.91 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom, % 0.87/0.91 class_Lattices_Olattice(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 0.87/0.91 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 0.87/0.91 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom, % 0.87/0.91 class_HOL_Ozero(tc_RealDef_Oreal) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.87/0.91 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 0.87/0.91 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 0.87/0.91 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 0.87/0.91 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 0.87/0.91 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 0.87/0.91 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 0.87/0.91 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 0.87/0.91 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 0.87/0.91 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom, % 0.87/0.91 class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 0.87/0.91 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom, % 0.87/0.91 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 0.87/0.91 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom, % 0.87/0.91 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 0.87/0.91 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom, % 0.87/0.91 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 0.87/0.91 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 0.87/0.91 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 0.87/0.91 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd,axiom, % 0.87/0.91 class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 0.87/0.91 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom, % 0.87/0.91 class_HOL_Ozero(tc_Complex_Ocomplex) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.87/0.91 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 0.87/0.91 ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Ocancel__comm__monoid__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs,axiom, % 0.87/0.91 ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors,axiom, % 0.87/0.91 ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.87/0.91 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0,axiom, % 0.87/0.91 ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult,axiom, % 0.87/0.91 ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1,axiom, % 0.87/0.91 ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1,axiom, % 0.87/0.91 ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero,axiom, % 0.87/0.91 ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono,axiom, % 0.87/0.91 ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__0(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Ocomm__monoid__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add,axiom, % 0.87/0.91 ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_OrderedGroup_Oab__group__add(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div,axiom, % 0.87/0.91 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__ring(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom,axiom, % 0.87/0.91 ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oidom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd,axiom, % 0.87/0.91 ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__semiring__1(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 0.87/0.91 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 0.87/0.91 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Divides_Oring__div,axiom, % 0.87/0.91 ( class_Divides_Oring__div(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ofield(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Orderings_Oorder,axiom, % 0.87/0.91 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Oordered__idom(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring,axiom, % 0.87/0.91 ( class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_Ring__and__Field_Ocomm__ring__1(T_1) ) ). % 0.87/0.91 % 0.87/0.91 cnf(clsarity_Polynomial__Opoly__HOL_Ozero,axiom, % 0.87/0.91 ( class_HOL_Ozero(tc_Polynomial_Opoly(T_1)) % 0.87/0.91 | ~ class_HOL_Ozero(T_1) ) ). % 0.87/0.91 % 0.87/0.91 %------------------------------------------------------------------------------ % 0.87/0.91 %------------------------------------------- % 0.87/0.91 % Proof found % 0.87/0.91 % SZS status Theorem for theBenchmark % 0.87/0.91 % SZS output start Proof % 0.87/0.91 %ClaNum:1113(EqnAxiom:135) % 0.87/0.91 %VarNum:7598(SingletonVarNum:2359) % 0.87/0.91 %MaxLitNum:6 % 0.87/0.91 %MaxfuncDepth:4 % 0.87/0.91 %SharedTerms:141 % 0.87/0.91 %goalClause: 270 % 0.87/0.91 %singleGoalClaCount:1 % 0.87/0.91 [136]P1(a1) % 0.87/0.91 [137]P1(a24) % 0.87/0.91 [138]P11(a1) % 0.87/0.91 [139]P11(a24) % 0.87/0.91 [140]P12(a1) % 0.87/0.91 [141]P61(a1) % 0.87/0.91 [142]P62(a1) % 0.87/0.91 [143]P62(a24) % 0.87/0.91 [144]P13(a1) % 0.87/0.91 [145]P2(a1) % 0.87/0.91 [146]P2(a24) % 0.87/0.91 [147]P31(a1) % 0.87/0.91 [148]P31(a2) % 0.87/0.91 [149]P31(a24) % 0.87/0.91 [150]P3(a1) % 0.87/0.91 [151]P3(a2) % 0.87/0.91 [152]P3(a24) % 0.87/0.91 [153]P63(a1) % 0.87/0.91 [154]P63(a24) % 0.87/0.91 [155]P50(a1) % 0.87/0.91 [156]P50(a24) % 0.87/0.91 [157]P51(a1) % 0.87/0.91 [158]P51(a24) % 0.87/0.91 [159]P65(a1) % 0.87/0.91 [160]P32(a1) % 0.87/0.91 [161]P32(a24) % 0.87/0.91 [162]P14(a1) % 0.87/0.91 [163]P52(a1) % 0.87/0.91 [164]P52(a2) % 0.87/0.91 [165]P9(a1) % 0.87/0.91 [166]P9(a2) % 0.87/0.91 [167]P57(a1) % 0.87/0.91 [168]P53(a1) % 0.87/0.91 [169]P53(a2) % 0.87/0.91 [170]P15(a1) % 0.87/0.91 [171]P15(a24) % 0.87/0.91 [172]P25(a1) % 0.87/0.91 [173]P54(a1) % 0.87/0.91 [174]P54(a2) % 0.87/0.91 [175]P54(a24) % 0.87/0.91 [176]P37(a1) % 0.87/0.91 [177]P37(a2) % 0.87/0.91 [178]P38(a1) % 0.87/0.91 [179]P38(a24) % 0.87/0.91 [180]P66(a1) % 0.87/0.91 [181]P66(a24) % 0.87/0.91 [182]P16(a1) % 0.87/0.91 [183]P16(a2) % 0.87/0.91 [184]P16(a24) % 0.87/0.91 [185]P55(a1) % 0.87/0.91 [186]P55(a2) % 0.87/0.91 [187]P26(a1) % 0.87/0.91 [188]P67(a1) % 0.87/0.91 [189]P67(a2) % 0.87/0.91 [190]P68(a1) % 0.87/0.91 [191]P39(a1) % 0.87/0.91 [192]P39(a2) % 0.87/0.91 [193]P40(a1) % 0.87/0.91 [194]P40(a2) % 0.87/0.91 [195]P20(a1) % 0.87/0.91 [196]P20(a2) % 0.87/0.91 [197]P27(a1) % 0.87/0.91 [198]P33(a1) % 0.87/0.91 [199]P33(a24) % 0.87/0.91 [200]P70(a1) % 0.87/0.91 [201]P70(a2) % 0.87/0.91 [202]P58(a1) % 0.87/0.91 [203]P58(a2) % 0.87/0.91 [204]P58(a24) % 0.87/0.91 [205]P41(a1) % 0.87/0.91 [206]P41(a2) % 0.87/0.91 [207]P47(a1) % 0.87/0.91 [208]P47(a2) % 0.87/0.91 [209]P17(a1) % 0.87/0.91 [210]P17(a2) % 0.87/0.91 [211]P46(a1) % 0.87/0.91 [212]P64(a1) % 0.87/0.91 [213]P64(a24) % 0.87/0.91 [214]P42(a1) % 0.87/0.91 [215]P42(a2) % 0.87/0.91 [216]P69(a1) % 0.87/0.91 [217]P69(a24) % 0.87/0.91 [218]P48(a1) % 0.87/0.91 [219]P48(a2) % 0.87/0.91 [220]P48(a24) % 0.87/0.91 [221]P4(a24) % 0.87/0.91 [222]P43(a1) % 0.87/0.91 [223]P43(a2) % 0.87/0.91 [224]P34(a1) % 0.87/0.91 [225]P34(a24) % 0.87/0.91 [226]P21(a1) % 0.87/0.91 [227]P21(a2) % 0.87/0.91 [228]P21(a24) % 0.87/0.91 [229]P56(a1) % 0.87/0.91 [230]P44(a1) % 0.87/0.91 [231]P44(a24) % 0.87/0.91 [232]P45(a1) % 0.87/0.91 [233]P45(a2) % 0.87/0.91 [234]P60(a1) % 0.87/0.91 [235]P60(a24) % 0.87/0.91 [236]P36(a1) % 0.87/0.91 [237]P36(a24) % 0.87/0.91 [238]P59(a1) % 0.87/0.91 [239]P59(a2) % 0.87/0.91 [240]P59(a24) % 0.87/0.91 [241]P35(a1) % 0.87/0.91 [242]P35(a24) % 0.87/0.91 [243]P28(a1) % 0.87/0.91 [244]P49(a1) % 0.87/0.91 [245]P49(a2) % 0.87/0.91 [246]P49(a24) % 0.87/0.91 [247]P29(a1) % 0.87/0.91 [248]P71(a1) % 0.87/0.91 [249]P71(a2) % 0.87/0.91 [250]P71(a24) % 0.87/0.91 [251]P30(a1) % 0.87/0.91 [252]P30(a2) % 0.87/0.91 [253]P30(a24) % 0.87/0.91 [254]P22(a1) % 0.87/0.91 [255]P22(a2) % 0.87/0.91 [256]P22(a24) % 0.87/0.91 [257]P23(a1) % 0.87/0.91 [258]P23(a2) % 0.87/0.91 [259]P23(a24) % 0.87/0.91 [260]P18(a1) % 0.87/0.91 [261]P18(a2) % 0.87/0.91 [262]P18(a24) % 0.87/0.91 [263]P24(a1) % 0.87/0.91 [264]P24(a2) % 0.87/0.91 [265]P24(a24) % 0.87/0.91 [270]~E(f11(f6(a25,a26,a2),a27,a2),f11(a25,f5(a26,a27,a2),a2)) % 0.87/0.91 [268]P5(x2681,x2681,a1) % 0.87/0.91 [266]E(f3(f3(x2661)),x2661) % 0.87/0.91 [267]E(f4(f3(x2671),a2),f4(x2671,a2)) % 0.87/0.91 [269]E(f5(f3(x2691),f3(x2692),a2),f3(f5(x2691,x2692,a2))) % 0.87/0.91 [272]~P12(x2721)+P12(f23(x2721)) % 0.87/0.91 [273]~P12(x2731)+P61(f23(x2731)) % 0.87/0.91 [274]~P12(x2741)+P62(f23(x2741)) % 0.87/0.91 [275]~P12(x2751)+P13(f23(x2751)) % 0.87/0.91 [276]~P31(x2761)+P31(f23(x2761)) % 0.87/0.91 [277]~P3(x2771)+P3(f23(x2771)) % 0.87/0.91 [278]~P12(x2781)+P63(f23(x2781)) % 0.87/0.91 [279]~P12(x2791)+P50(f23(x2791)) % 0.87/0.91 [280]~P12(x2801)+P51(f23(x2801)) % 0.87/0.91 [281]~P12(x2811)+P65(f23(x2811)) % 0.87/0.91 [282]~P12(x2821)+P32(f23(x2821)) % 0.87/0.91 [283]~P52(x2831)+P52(f23(x2831)) % 0.87/0.91 [284]~P47(x2841)+P9(f23(x2841)) % 0.87/0.91 [285]~P12(x2851)+P25(f23(x2851)) % 0.87/0.91 [286]~P31(x2861)+P54(f23(x2861)) % 0.87/0.91 [287]~P37(x2871)+P37(f23(x2871)) % 0.87/0.91 [288]~P12(x2881)+P38(f23(x2881)) % 0.87/0.91 [289]~P12(x2891)+P66(f23(x2891)) % 0.87/0.91 [290]~P48(x2901)+P16(f23(x2901)) % 0.87/0.91 [291]~P12(x2911)+P26(f23(x2911)) % 0.87/0.91 [292]~P37(x2921)+P67(f23(x2921)) % 0.87/0.91 [293]~P12(x2931)+P68(f23(x2931)) % 0.87/0.91 [294]~P17(x2941)+P20(f23(x2941)) % 0.87/0.91 [295]~P12(x2951)+P33(f23(x2951)) % 0.87/0.91 [296]~P52(x2961)+P70(f23(x2961)) % 0.87/0.91 [297]~P52(x2971)+P58(f23(x2971)) % 0.87/0.91 [298]~P47(x2981)+P47(f23(x2981)) % 0.87/0.91 [299]~P17(x2991)+P17(f23(x2991)) % 0.87/0.91 [300]~P12(x3001)+P46(f23(x3001)) % 0.87/0.91 [301]~P12(x3011)+P64(f23(x3011)) % 0.87/0.91 [302]~P12(x3021)+P69(f23(x3021)) % 0.87/0.91 [303]~P55(x3031)+P8(f23(x3031)) % 0.87/0.91 [304]~P48(x3041)+P48(f23(x3041)) % 0.87/0.91 [305]~P55(x3051)+P4(f23(x3051)) % 0.87/0.91 [306]~P12(x3061)+P34(f23(x3061)) % 0.87/0.91 [307]~P21(x3071)+P21(f23(x3071)) % 0.87/0.91 [308]~P12(x3081)+P44(f23(x3081)) % 0.87/0.91 [309]~P12(x3091)+P60(f23(x3091)) % 0.87/0.91 [310]~P12(x3101)+P36(f23(x3101)) % 0.87/0.91 [311]~P48(x3111)+P59(f23(x3111)) % 0.87/0.91 [312]~P12(x3121)+P35(f23(x3121)) % 0.87/0.91 [313]~P48(x3131)+P49(f23(x3131)) % 0.87/0.91 [314]~P48(x3141)+P71(f23(x3141)) % 0.87/0.91 [315]~P21(x3151)+P30(f23(x3151)) % 0.87/0.91 [316]~P24(x3161)+P22(f23(x3161)) % 0.87/0.91 [317]~P24(x3171)+P23(f23(x3171)) % 0.87/0.91 [318]~P21(x3181)+P18(f23(x3181)) % 0.87/0.91 [319]~P24(x3191)+P24(f23(x3191)) % 0.87/0.91 [321]~P13(x3211)+E(f8(f12(x3211),x3211),f12(x3211)) % 0.87/0.91 [322]~P26(x3221)+E(f13(f12(x3221),x3221),f12(x3221)) % 0.87/0.91 [323]~P20(x3231)+E(f13(f12(x3231),x3231),f12(x3231)) % 0.87/0.91 [378]~P14(x3781)+E(f5(f12(x3781),f12(x3781),x3781),f12(x3781)) % 0.87/0.91 [407]~P13(x4071)+P5(f8(f12(x4071),x4071),f12(x4071),x4071) % 0.87/0.91 [487]~P13(x4871)+~P7(f12(x4871),f8(f12(x4871),x4871),x4871) % 0.87/0.91 [401]~P3(x4011)+E(f20(f12(x4011),f12(f23(x4011)),x4011),f12(f23(x4011))) % 0.87/0.91 [720]~P61(x7201)+E(f5(f14(f12(x7201),f12(x7201),x7201),f14(f12(x7201),f12(x7201),x7201),x7201),f12(x7201)) % 0.87/0.91 [1066]~P61(x10661)+P5(f5(f14(f12(x10661),f12(x10661),x10661),f14(f12(x10661),f12(x10661),x10661),x10661),f12(x10661),x10661) % 0.87/0.91 [1100]~P61(x11001)+~P7(f12(x11001),f5(f14(f12(x11001),f12(x11001),x11001),f14(f12(x11001),f12(x11001),x11001),x11001),x11001) % 0.87/0.91 [338]~P38(x3382)+P5(x3381,x3381,x3382) % 0.87/0.91 [339]~P44(x3392)+P5(x3391,x3391,x3392) % 0.87/0.91 [340]~P31(x3402)+P6(x3401,x3401,x3402) % 0.87/0.91 [397]~P7(x3972,x3972,x3971)+~P32(x3971) % 0.87/0.91 [398]~P7(x3982,x3982,x3981)+~P38(x3981) % 0.87/0.91 [399]~P7(x3992,x3992,x3991)+~P44(x3991) % 0.87/0.91 [409]P5(x4092,x4091,a1)+P5(x4091,x4092,a1) % 0.87/0.91 [271]E(x2711,x2712)+~E(f3(x2711),f3(x2712)) % 0.87/0.91 [341]~P11(x3412)+E(f15(x3411,x3411,x3412),x3411) % 0.87/0.91 [342]~P19(x3422)+E(f14(x3421,x3421,x3422),x3421) % 0.87/0.91 [343]~P15(x3432)+E(f16(x3431,x3431,x3432),x3431) % 0.87/0.91 [344]~P32(x3442)+E(f17(x3441,x3441,x3442),x3441) % 0.87/0.91 [345]~P32(x3452)+E(f18(x3451,x3451,x3452),x3451) % 0.87/0.91 [347]~P20(x3472)+E(f9(x3471,x3471,x3472),f12(x3472)) % 0.87/0.91 [348]~P17(x3482)+E(f9(x3481,x3481,x3482),f12(x3482)) % 0.87/0.91 [349]~P4(x3492)+E(f7(x3491,x3491,x3492),f12(x3492)) % 0.87/0.91 [350]~P31(x3502)+P6(x3501,f12(x3502),x3502) % 0.87/0.91 [389]~P13(x3892)+P5(x3891,f8(x3891,x3892),x3892) % 0.87/0.91 [400]~P13(x4001)+P5(f12(x4001),f8(x4002,x4001),x4001) % 0.87/0.91 [416]~P13(x4162)+P5(f13(x4161,x4162),f8(x4161,x4162),x4162) % 0.87/0.91 [457]~P13(x4571)+~P7(f8(x4572,x4571),f12(x4571),x4571) % 0.87/0.91 [521]~P61(x5211)+P5(f12(x5211),f14(x5212,x5212,x5211),x5211) % 0.87/0.91 [674]~P61(x6741)+~P7(f14(x6742,x6742,x6741),f12(x6741),x6741) % 0.87/0.91 [330]~P10(x3302)+E(f13(f13(x3301,x3302),x3302),x3301) % 0.87/0.91 [332]~P20(x3322)+E(f13(f13(x3321,x3322),x3322),x3321) % 0.87/0.91 [335]~P13(x3352)+E(f8(f8(x3351,x3352),x3352),f8(x3351,x3352)) % 0.87/0.91 [336]~P13(x3362)+E(f8(f13(x3361,x3362),x3362),f8(x3361,x3362)) % 0.87/0.91 [337]~P40(x3372)+E(f4(f13(x3371,x3372),x3372),f4(x3371,x3372)) % 0.87/0.91 [351]~P31(x3512)+E(f5(x3511,f12(x3512),x3512),x3511) % 0.87/0.91 [352]~P21(x3522)+E(f5(x3521,f12(x3522),x3522),x3521) % 0.87/0.91 [353]~P30(x3532)+E(f5(x3531,f12(x3532),x3532),x3531) % 0.87/0.91 [354]~P20(x3542)+E(f9(x3541,f12(x3542),x3542),x3541) % 0.87/0.91 [355]~P4(x3552)+E(f7(x3551,f12(x3552),x3552),x3551) % 0.87/0.91 [357]~P31(x3571)+E(f5(f12(x3571),x3572,x3571),x3572) % 0.87/0.91 [358]~P21(x3581)+E(f5(f12(x3581),x3582,x3581),x3582) % 0.87/0.91 [359]~P30(x3591)+E(f5(f12(x3591),x3592,x3591),x3592) % 0.87/0.91 [360]~P31(x3602)+E(f14(x3601,f12(x3602),x3602),f12(x3602)) % 0.87/0.91 [361]~P70(x3612)+E(f14(x3611,f12(x3612),x3612),f12(x3612)) % 0.87/0.91 [363]~P42(x3632)+E(f14(x3631,f12(x3632),x3632),f12(x3632)) % 0.87/0.91 [364]~P59(x3642)+E(f14(x3641,f12(x3642),x3642),f12(x3642)) % 0.87/0.91 [365]~P39(x3652)+E(f22(x3651,f12(x3652),x3652),f12(x3652)) % 0.87/0.91 [366]~P40(x3662)+E(f22(x3661,f12(x3662),x3662),f12(x3662)) % 0.87/0.91 [368]~P31(x3681)+E(f14(f12(x3681),x3682,x3681),f12(x3681)) % 0.87/0.91 [369]~P70(x3691)+E(f14(f12(x3691),x3692,x3691),f12(x3691)) % 0.87/0.91 [371]~P42(x3711)+E(f14(f12(x3711),x3712,x3711),f12(x3711)) % 0.87/0.91 [372]~P59(x3721)+E(f14(f12(x3721),x3722,x3721),f12(x3721)) % 0.87/0.91 [373]~P55(x3731)+E(f10(f12(x3731),x3732,x3731),f12(x3731)) % 0.87/0.91 [374]~P41(x3741)+E(f10(f12(x3741),x3742,x3741),f12(x3741)) % 0.87/0.91 [375]~P4(x3751)+E(f7(f12(x3751),x3752,x3751),f12(x3751)) % 0.87/0.91 [382]~P20(x3821)+E(f9(f12(x3821),x3822,x3821),f13(x3822,x3821)) % 0.87/0.91 [387]~P21(x3872)+E(f5(x3871,f12(f23(x3872)),f23(x3872)),x3871) % 0.87/0.91 [388]~P21(x3881)+E(f5(f12(f23(x3881)),x3882,f23(x3881)),x3882) % 0.87/0.91 [393]~P20(x3932)+E(f5(x3931,f13(x3931,x3932),x3932),f12(x3932)) % 0.87/0.91 [395]~P20(x3952)+E(f5(f13(x3951,x3952),x3951,x3952),f12(x3952)) % 0.87/0.91 [396]~P17(x3962)+E(f5(f13(x3961,x3962),x3961,x3962),f12(x3962)) % 0.87/0.91 [403]~P27(x4032)+E(f16(x4031,f13(x4031,x4032),x4032),f8(x4031,x4032)) % 0.87/0.91 [460]~P13(x4602)+P5(f13(f8(x4601,x4602),x4602),f12(x4602),x4602) % 0.87/0.91 [489]~P12(x4892)+E(f14(f8(x4891,x4892),f8(x4891,x4892),x4892),f14(x4891,x4891,x4892)) % 0.87/0.91 [491]~P52(x4912)+E(f14(f13(x4911,x4912),f13(x4911,x4912),x4912),f14(x4911,x4911,x4912)) % 0.87/0.91 [384]~P52(x3841)+E(f11(f12(f23(x3841)),x3842,x3841),f12(x3841)) % 0.87/0.91 [385]~P48(x3851)+E(f11(f12(f23(x3851)),x3852,x3851),f12(x3851)) % 0.87/0.91 [390]~P48(x3901)+E(f6(f12(f23(x3901)),x3902,x3901),f12(f23(x3901))) % 0.87/0.91 [391]~P48(x3911)+E(f19(f12(f23(x3911)),x3912,x3911),f12(f23(x3911))) % 0.87/0.91 [420]~P1(x4203)+E(f15(x4201,x4202,x4203),f15(x4202,x4201,x4203)) % 0.87/0.91 [421]~P11(x4213)+E(f15(x4211,x4212,x4213),f15(x4212,x4211,x4213)) % 0.87/0.91 [423]~P31(x4233)+E(f14(x4231,x4232,x4233),f14(x4232,x4231,x4233)) % 0.87/0.91 [424]~P1(x4243)+E(f16(x4241,x4242,x4243),f16(x4242,x4241,x4243)) % 0.87/0.91 [425]~P15(x4253)+E(f16(x4251,x4252,x4253),f16(x4252,x4251,x4253)) % 0.87/0.91 [427]~P31(x4273)+E(f5(x4271,x4272,x4273),f5(x4272,x4271,x4273)) % 0.87/0.91 [428]~P21(x4283)+E(f5(x4281,x4282,x4283),f5(x4282,x4281,x4283)) % 0.87/0.91 [429]~P32(x4293)+E(f17(x4291,x4292,x4293),f17(x4292,x4291,x4293)) % 0.87/0.91 [430]~P32(x4303)+E(f18(x4301,x4302,x4303),f18(x4302,x4301,x4303)) % 0.87/0.91 [492]~P1(x4923)+P5(x4921,f16(x4922,x4921,x4923),x4923) % 0.87/0.91 [493]~P15(x4933)+P5(x4931,f16(x4932,x4931,x4933),x4933) % 0.87/0.91 [494]~P1(x4943)+P5(x4941,f16(x4941,x4942,x4943),x4943) % 0.87/0.91 [495]~P15(x4953)+P5(x4951,f16(x4951,x4952,x4953),x4953) % 0.87/0.91 [496]~P32(x4963)+P5(x4961,f18(x4962,x4961,x4963),x4963) % 0.87/0.91 [497]~P32(x4973)+P5(x4971,f18(x4971,x4972,x4973),x4973) % 0.87/0.91 [498]~P31(x4983)+P6(x4981,f14(x4982,x4981,x4983),x4983) % 0.87/0.91 [499]~P31(x4993)+P6(x4991,f14(x4991,x4992,x4993),x4993) % 0.87/0.91 [500]~P54(x5003)+P6(x5001,f14(x5001,x5002,x5003),x5003) % 0.87/0.91 [501]~P1(x5013)+P5(f15(x5011,x5012,x5013),x5012,x5013) % 0.87/0.91 [502]~P11(x5023)+P5(f15(x5021,x5022,x5023),x5022,x5023) % 0.87/0.91 [503]~P1(x5033)+P5(f15(x5031,x5032,x5033),x5031,x5033) % 0.87/0.91 [504]~P11(x5043)+P5(f15(x5041,x5042,x5043),x5041,x5043) % 0.87/0.91 [505]~P32(x5053)+P5(f17(x5051,x5052,x5053),x5052,x5053) % 0.87/0.91 [506]~P32(x5063)+P5(f17(x5061,x5062,x5063),x5061,x5063) % 0.87/0.91 [445]~P39(x4452)+E(f22(x4451,f12(x4452),x4452),f22(x4453,f12(x4452),x4452)) % 0.87/0.91 [450]~P48(x4503)+E(f21(f6(x4501,x4502,x4503),x4503),f21(x4501,x4503)) % 0.87/0.91 [451]~P10(x4513)+E(f15(x4511,f13(x4512,x4513),x4513),f9(x4511,x4512,x4513)) % 0.87/0.91 [452]~P9(x4523)+E(f5(x4521,f13(x4522,x4523),x4523),f9(x4521,x4522,x4523)) % 0.87/0.91 [453]~P20(x4533)+E(f5(x4531,f13(x4532,x4533),x4533),f9(x4531,x4532,x4533)) % 0.87/0.91 [455]~P17(x4553)+E(f5(x4551,f13(x4552,x4553),x4553),f9(x4551,x4552,x4553)) % 0.87/0.91 [456]~P20(x4563)+E(f9(x4561,f13(x4562,x4563),x4563),f5(x4561,x4562,x4563)) % 0.87/0.91 [488]~P67(x4882)+E(f14(f13(x4881,x4882),x4883,x4882),f14(x4881,f13(x4883,x4882),x4882)) % 0.87/0.91 [490]~P67(x4902)+E(f14(f13(x4901,x4902),f13(x4903,x4902),x4902),f14(x4901,x4903,x4902)) % 0.87/0.91 [507]~P1(x5073)+E(f15(x5071,f16(x5071,x5072,x5073),x5073),x5071) % 0.87/0.91 [508]~P1(x5083)+E(f16(x5081,f15(x5081,x5082,x5083),x5083),x5081) % 0.87/0.91 [509]~P32(x5093)+E(f17(x5091,f18(x5091,x5092,x5093),x5093),x5091) % 0.87/0.91 [510]~P32(x5103)+E(f18(x5101,f17(x5101,x5102,x5103),x5103),x5101) % 0.87/0.91 [511]~P20(x5113)+E(f5(f9(x5111,x5112,x5113),x5112,x5113),x5111) % 0.87/0.91 [512]~P20(x5123)+E(f9(f5(x5121,x5122,x5123),x5122,x5123),x5121) % 0.87/0.91 [514]~P4(x5143)+E(f7(f14(x5141,x5142,x5143),x5142,x5143),f12(x5143)) % 0.87/0.91 [515]~P4(x5153)+E(f7(f14(x5151,x5152,x5153),x5151,x5153),f12(x5153)) % 0.87/0.91 [547]~P17(x5473)+E(f13(f9(x5471,x5472,x5473),x5473),f9(x5472,x5471,x5473)) % 0.87/0.91 [573]~P17(x5732)+E(f5(f13(x5731,x5732),f5(x5733,x5731,x5732),x5732),x5733) % 0.87/0.91 [574]~P20(x5742)+E(f5(f13(x5741,x5742),f5(x5741,x5743,x5742),x5742),x5743) % 0.87/0.91 [584]~P67(x5843)+E(f14(x5841,f13(x5842,x5843),x5843),f13(f14(x5841,x5842,x5843),x5843)) % 0.87/0.91 [585]~P67(x5852)+E(f14(f13(x5851,x5852),x5853,x5852),f13(f14(x5851,x5853,x5852),x5852)) % 0.87/0.91 [586]~P55(x5862)+E(f10(f13(x5861,x5862),x5863,x5862),f13(f10(x5861,x5863,x5862),x5862)) % 0.87/0.91 [588]~P42(x5883)+E(f14(x5881,f13(x5882,x5883),x5883),f13(f14(x5881,x5882,x5883),x5883)) % 0.87/0.91 [589]~P39(x5893)+E(f22(x5891,f13(x5892,x5893),x5893),f13(f22(x5891,x5892,x5893),x5893)) % 0.87/0.91 [590]~P40(x5903)+E(f22(x5901,f13(x5902,x5903),x5903),f13(f22(x5901,x5902,x5903),x5903)) % 0.87/0.91 [592]~P42(x5922)+E(f14(f13(x5921,x5922),x5923,x5922),f13(f14(x5921,x5923,x5922),x5922)) % 0.87/0.91 [593]~P41(x5932)+E(f10(f13(x5931,x5932),x5933,x5932),f13(f10(x5931,x5933,x5932),x5932)) % 0.87/0.91 [608]~P1(x6083)+E(f15(x6081,f15(x6081,x6082,x6083),x6083),f15(x6081,x6082,x6083)) % 0.87/0.91 [609]~P11(x6093)+E(f15(x6091,f15(x6091,x6092,x6093),x6093),f15(x6091,x6092,x6093)) % 0.87/0.91 [610]~P19(x6103)+E(f14(x6101,f14(x6101,x6102,x6103),x6103),f14(x6101,x6102,x6103)) % 0.87/0.91 [611]~P1(x6113)+E(f16(x6111,f16(x6111,x6112,x6113),x6113),f16(x6111,x6112,x6113)) % 0.87/0.91 [612]~P15(x6123)+E(f16(x6121,f16(x6121,x6122,x6123),x6123),f16(x6121,x6122,x6123)) % 0.87/0.91 [613]~P32(x6133)+E(f17(x6131,f17(x6131,x6132,x6133),x6133),f17(x6131,x6132,x6133)) % 0.87/0.91 [614]~P32(x6143)+E(f18(x6141,f18(x6141,x6142,x6143),x6143),f18(x6141,x6142,x6143)) % 0.87/0.91 [615]~P4(x6153)+E(f7(f5(x6151,x6152,x6153),x6152,x6153),f7(x6151,x6152,x6153)) % 0.87/0.91 [616]~P4(x6163)+E(f7(f5(x6161,x6162,x6163),x6161,x6163),f7(x6162,x6161,x6163)) % 0.87/0.91 [617]~P4(x6173)+E(f7(f7(x6171,x6172,x6173),x6172,x6173),f7(x6171,x6172,x6173)) % 0.87/0.91 [620]~P12(x6202)+E(f14(f8(x6201,x6202),f8(x6203,x6202),x6202),f8(f14(x6201,x6203,x6202),x6202)) % 0.87/0.91 [621]~P14(x6212)+E(f16(f13(x6211,x6212),f13(x6213,x6212),x6212),f13(f15(x6211,x6213,x6212),x6212)) % 0.87/0.91 [622]~P10(x6222)+E(f16(f13(x6221,x6222),f13(x6223,x6222),x6222),f13(f15(x6221,x6223,x6222),x6222)) % 0.87/0.91 [623]~P14(x6232)+E(f15(f13(x6231,x6232),f13(x6233,x6232),x6232),f13(f16(x6231,x6233,x6232),x6232)) % 0.87/0.91 [624]~P10(x6242)+E(f15(f13(x6241,x6242),f13(x6243,x6242),x6242),f13(f16(x6241,x6243,x6242),x6242)) % 0.87/0.91 [625]~P20(x6252)+E(f5(f13(x6251,x6252),f13(x6253,x6252),x6252),f13(f5(x6253,x6251,x6252),x6252)) % 0.87/0.91 [626]~P17(x6262)+E(f5(f13(x6261,x6262),f13(x6263,x6262),x6262),f13(f5(x6261,x6263,x6262),x6262)) % 0.87/0.91 [627]~P17(x6272)+E(f9(f13(x6271,x6272),f13(x6273,x6272),x6272),f13(f9(x6271,x6273,x6272),x6272)) % 0.87/0.91 [639]~P13(x6393)+E(f8(f9(x6391,x6392,x6393),x6393),f8(f9(x6392,x6391,x6393),x6393)) % 0.87/0.91 [640]~P40(x6403)+E(f4(f9(x6401,x6402,x6403),x6403),f4(f9(x6402,x6401,x6403),x6403)) % 0.87/0.91 [683]~P52(x6832)+P6(f14(x6831,f12(x6832),x6832),f14(x6833,f12(x6832),x6832),x6832) % 0.87/0.91 [684]~P52(x6841)+P6(f14(f12(x6841),x6842,x6841),f14(f12(x6841),x6843,x6841),x6841) % 0.87/0.91 [721]~P14(x7213)+E(f5(f16(x7211,x7212,x7213),f15(x7211,x7212,x7213),x7213),f5(x7211,x7212,x7213)) % 0.87/0.91 [889]~P5(f4(x8892,a2),x8893,a1)+P5(f4(f11(x8891,x8892,a2),a2),f28(x8891,x8893),a1) % 0.87/0.91 [976]~P56(x9763)+P5(f8(f14(x9761,x9762,x9763),x9763),f14(f8(x9761,x9763),f8(x9762,x9763),x9763),x9763) % 0.87/0.91 [977]~P13(x9773)+P5(f8(f5(x9771,x9772,x9773),x9773),f5(f8(x9771,x9773),f8(x9772,x9773),x9773),x9773) % 0.87/0.91 [978]~P13(x9783)+P5(f8(f9(x9781,x9782,x9783),x9783),f5(f8(x9781,x9783),f8(x9782,x9783),x9783),x9783) % 0.87/0.91 [979]~P13(x9792)+P5(f9(f8(x9791,x9792),f8(x9793,x9792),x9792),f8(f9(x9791,x9793,x9792),x9792),x9792) % 0.87/0.91 [1046]~P61(x10461)+P5(f12(x10461),f5(f14(x10462,x10462,x10461),f14(x10463,x10463,x10461),x10461),x10461) % 0.87/0.91 [1093]~P61(x10931)+~P7(f5(f14(x10932,x10932,x10931),f14(x10933,x10933,x10931),x10931),f12(x10931),x10931) % 0.87/0.91 [607]~P20(x6072)+E(f5(x6071,f5(f13(x6071,x6072),x6073,x6072),x6072),x6073) % 0.87/0.91 [677]~P14(x6772)+E(f13(f16(f13(x6771,x6772),f13(x6773,x6772),x6772),x6772),f15(x6771,x6773,x6772)) % 0.87/0.91 [678]~P14(x6782)+E(f13(f15(f13(x6781,x6782),f13(x6783,x6782),x6782),x6782),f16(x6781,x6783,x6782)) % 0.87/0.91 [767]~P13(x7672)+E(f8(f5(f8(x7671,x7672),f8(x7673,x7672),x7672),x7672),f5(f8(x7671,x7672),f8(x7673,x7672),x7672)) % 0.87/0.91 [851]~P8(x8513)+E(f7(f13(f7(x8511,x8512,x8513),x8513),x8512,x8513),f7(f13(x8511,x8513),x8512,x8513)) % 0.87/0.91 [1071]~P13(x10712)+P5(f8(f9(f8(x10711,x10712),f8(x10713,x10712),x10712),x10712),f8(f9(x10711,x10713,x10712),x10712),x10712) % 0.87/0.91 [676]~P48(x6762)+E(f6(f20(x6761,f12(f23(x6762)),x6762),x6763,x6762),f20(x6761,f12(f23(x6762)),x6762)) % 0.87/0.91 [722]~P1(x7224)+E(f15(x7221,f15(x7222,x7223,x7224),x7224),f15(x7222,f15(x7221,x7223,x7224),x7224)) % 0.87/0.91 [723]~P11(x7234)+E(f15(x7231,f15(x7232,x7233,x7234),x7234),f15(x7232,f15(x7231,x7233,x7234),x7234)) % 0.87/0.91 [724]~P31(x7244)+E(f14(x7241,f14(x7242,x7243,x7244),x7244),f14(x7242,f14(x7241,x7243,x7244),x7244)) % 0.87/0.91 [725]~P1(x7254)+E(f16(x7251,f16(x7252,x7253,x7254),x7254),f16(x7252,f16(x7251,x7253,x7254),x7254)) % 0.87/0.91 [726]~P15(x7264)+E(f16(x7261,f16(x7262,x7263,x7264),x7264),f16(x7262,f16(x7261,x7263,x7264),x7264)) % 0.87/0.91 [727]~P31(x7274)+E(f5(x7271,f5(x7272,x7273,x7274),x7274),f5(x7272,f5(x7271,x7273,x7274),x7274)) % 0.87/0.91 [728]~P17(x7284)+E(f5(x7281,f5(x7282,x7283,x7284),x7284),f5(x7282,f5(x7281,x7283,x7284),x7284)) % 0.87/0.91 [729]~P21(x7294)+E(f5(x7291,f5(x7292,x7293,x7294),x7294),f5(x7292,f5(x7291,x7293,x7294),x7294)) % 0.87/0.91 [730]~P32(x7304)+E(f17(x7301,f17(x7302,x7303,x7304),x7304),f17(x7302,f17(x7301,x7303,x7304),x7304)) % 0.87/0.91 [731]~P32(x7314)+E(f18(x7311,f18(x7312,x7313,x7314),x7314),f18(x7312,f18(x7311,x7313,x7314),x7314)) % 0.87/0.91 [733]~P42(x7334)+E(f22(x7331,f14(x7332,x7333,x7334),x7334),f14(x7332,f22(x7331,x7333,x7334),x7334)) % 0.87/0.91 [734]~P43(x7344)+E(f22(x7341,f14(x7342,x7343,x7344),x7344),f14(x7342,f22(x7341,x7343,x7344),x7344)) % 0.87/0.91 [735]~P39(x7354)+E(f22(x7351,f22(x7352,x7353,x7354),x7354),f22(x7352,f22(x7351,x7353,x7354),x7354)) % 0.87/0.91 [737]~P40(x7374)+E(f22(x7371,f22(x7372,x7373,x7374),x7374),f22(x7372,f22(x7371,x7373,x7374),x7374)) % 0.87/0.91 [742]~P1(x7423)+E(f15(f15(x7421,x7422,x7423),x7424,x7423),f15(x7421,f15(x7422,x7424,x7423),x7423)) % 0.87/0.91 [743]~P11(x7433)+E(f15(f15(x7431,x7432,x7433),x7434,x7433),f15(x7431,f15(x7432,x7434,x7433),x7433)) % 0.87/0.91 [744]~P31(x7443)+E(f14(f14(x7441,x7442,x7443),x7444,x7443),f14(x7441,f14(x7442,x7444,x7443),x7443)) % 0.87/0.91 [745]~P16(x7453)+E(f14(f14(x7451,x7452,x7453),x7454,x7453),f14(x7451,f14(x7452,x7454,x7453),x7453)) % 0.87/0.91 [747]~P42(x7474)+E(f22(x7471,f14(x7472,x7473,x7474),x7474),f14(f22(x7471,x7472,x7474),x7473,x7474)) % 0.87/0.91 [748]~P43(x7484)+E(f22(x7481,f14(x7482,x7483,x7484),x7484),f14(f22(x7481,x7482,x7484),x7483,x7484)) % 0.87/0.91 [749]~P1(x7493)+E(f16(f16(x7491,x7492,x7493),x7494,x7493),f16(x7491,f16(x7492,x7494,x7493),x7493)) % 0.87/0.91 [750]~P15(x7503)+E(f16(f16(x7501,x7502,x7503),x7504,x7503),f16(x7501,f16(x7502,x7504,x7503),x7503)) % 0.87/0.91 [751]~P31(x7513)+E(f5(f5(x7511,x7512,x7513),x7514,x7513),f5(x7511,f5(x7512,x7514,x7513),x7513)) % 0.87/0.91 [752]~P21(x7523)+E(f5(f5(x7521,x7522,x7523),x7524,x7523),f5(x7521,f5(x7522,x7524,x7523),x7523)) % 0.87/0.91 [753]~P18(x7533)+E(f5(f5(x7531,x7532,x7533),x7534,x7533),f5(x7531,f5(x7532,x7534,x7533),x7533)) % 0.87/0.91 [754]~P41(x7543)+E(f10(f22(x7541,x7542,x7543),x7544,x7543),f22(x7541,f10(x7542,x7544,x7543),x7543)) % 0.87/0.91 [755]~P32(x7553)+E(f17(f17(x7551,x7552,x7553),x7554,x7553),f17(x7551,f17(x7552,x7554,x7553),x7553)) % 0.87/0.91 [756]~P32(x7563)+E(f18(f18(x7561,x7562,x7563),x7564,x7563),f18(x7561,f18(x7562,x7564,x7563),x7563)) % 0.87/0.91 [757]~P48(x7573)+E(f11(f6(x7571,x7572,x7573),x7574,x7573),f11(x7571,f5(x7572,x7574,x7573),x7573)) % 0.87/0.91 [758]~P48(x7583)+E(f11(f19(x7581,x7582,x7583),x7584,x7583),f11(x7581,f11(x7582,x7584,x7583),x7583)) % 0.87/0.91 [759]~P31(x7593)+E(f14(f14(x7591,x7592,x7593),x7594,x7593),f14(f14(x7591,x7594,x7593),x7592,x7593)) % 0.87/0.91 [760]~P31(x7603)+E(f5(f5(x7601,x7602,x7603),x7604,x7603),f5(f5(x7601,x7604,x7603),x7602,x7603)) % 0.87/0.91 [892]~P2(x8923)+E(f16(f15(x8921,x8922,x8923),f15(x8921,x8924,x8923),x8923),f15(x8921,f16(x8922,x8924,x8923),x8923)) % 0.87/0.91 [893]~P31(x8933)+E(f5(f14(x8931,x8932,x8933),f14(x8931,x8934,x8933),x8933),f14(x8931,f5(x8932,x8934,x8933),x8933)) % 0.87/0.91 [895]~P42(x8953)+E(f5(f14(x8951,x8952,x8953),f14(x8951,x8954,x8953),x8953),f14(x8951,f5(x8952,x8954,x8953),x8953)) % 0.87/0.91 [897]~P42(x8973)+E(f9(f14(x8971,x8972,x8973),f14(x8971,x8974,x8973),x8973),f14(x8971,f9(x8972,x8974,x8973),x8973)) % 0.87/0.91 [898]~P2(x8983)+E(f15(f16(x8981,x8982,x8983),f16(x8981,x8984,x8983),x8983),f16(x8981,f15(x8982,x8984,x8983),x8983)) % 0.87/0.91 [899]~P14(x8993)+E(f15(f5(x8991,x8992,x8993),f5(x8991,x8994,x8993),x8993),f5(x8991,f15(x8992,x8994,x8993),x8993)) % 0.87/0.91 [900]~P28(x9003)+E(f15(f5(x9001,x9002,x9003),f5(x9001,x9004,x9003),x9003),f5(x9001,f15(x9002,x9004,x9003),x9003)) % 0.87/0.91 [901]~P14(x9013)+E(f16(f5(x9011,x9012,x9013),f5(x9011,x9014,x9013),x9013),f5(x9011,f16(x9012,x9014,x9013),x9013)) % 0.87/0.91 [902]~P29(x9023)+E(f16(f5(x9021,x9022,x9023),f5(x9021,x9024,x9023),x9023),f5(x9021,f16(x9022,x9024,x9023),x9023)) % 0.87/0.91 [903]~P32(x9033)+E(f18(f17(x9031,x9032,x9033),f17(x9031,x9034,x9033),x9033),f17(x9031,f18(x9032,x9034,x9033),x9033)) % 0.87/0.91 [904]~P32(x9043)+E(f17(f18(x9041,x9042,x9043),f18(x9041,x9044,x9043),x9043),f18(x9041,f17(x9042,x9044,x9043),x9043)) % 0.87/0.91 [905]~P39(x9053)+E(f5(f22(x9051,x9052,x9053),f22(x9051,x9054,x9053),x9053),f22(x9051,f5(x9052,x9054,x9053),x9053)) % 0.87/0.91 [906]~P40(x9063)+E(f5(f22(x9061,x9062,x9063),f22(x9061,x9064,x9063),x9063),f22(x9061,f5(x9062,x9064,x9063),x9063)) % 0.87/0.91 [907]~P39(x9073)+E(f9(f22(x9071,x9072,x9073),f22(x9071,x9074,x9073),x9073),f22(x9071,f9(x9072,x9074,x9073),x9073)) % 0.87/0.91 [908]~P40(x9083)+E(f9(f22(x9081,x9082,x9083),f22(x9081,x9084,x9083),x9083),f22(x9081,f9(x9082,x9084,x9083),x9083)) % 0.87/0.91 [909]~P2(x9093)+E(f16(f15(x9091,x9092,x9093),f15(x9094,x9092,x9093),x9093),f15(f16(x9091,x9094,x9093),x9092,x9093)) % 0.87/0.91 [912]~P42(x9123)+E(f5(f14(x9121,x9122,x9123),f14(x9124,x9122,x9123),x9123),f14(f5(x9121,x9124,x9123),x9122,x9123)) % 0.87/0.91 [913]~P49(x9133)+E(f5(f14(x9131,x9132,x9133),f14(x9134,x9132,x9133),x9133),f14(f5(x9131,x9134,x9133),x9132,x9133)) % 0.87/0.91 [915]~P42(x9153)+E(f9(f14(x9151,x9152,x9153),f14(x9154,x9152,x9153),x9153),f14(f9(x9151,x9154,x9153),x9152,x9153)) % 0.87/0.91 [916]~P2(x9163)+E(f15(f16(x9161,x9162,x9163),f16(x9164,x9162,x9163),x9163),f16(f15(x9161,x9164,x9163),x9162,x9163)) % 0.87/0.91 [917]~P14(x9173)+E(f15(f5(x9171,x9172,x9173),f5(x9174,x9172,x9173),x9173),f5(f15(x9171,x9174,x9173),x9172,x9173)) % 0.87/0.91 [918]~P28(x9183)+E(f15(f5(x9181,x9182,x9183),f5(x9184,x9182,x9183),x9183),f5(f15(x9181,x9184,x9183),x9182,x9183)) % 0.87/0.91 [919]~P14(x9193)+E(f16(f5(x9191,x9192,x9193),f5(x9194,x9192,x9193),x9193),f5(f16(x9191,x9194,x9193),x9192,x9193)) % 0.87/0.91 [920]~P29(x9203)+E(f16(f5(x9201,x9202,x9203),f5(x9204,x9202,x9203),x9203),f5(f16(x9201,x9204,x9203),x9202,x9203)) % 0.87/0.91 [921]~P34(x9213)+E(f17(f5(x9211,x9212,x9213),f5(x9214,x9212,x9213),x9213),f5(f17(x9211,x9214,x9213),x9212,x9213)) % 0.87/0.91 [922]~P34(x9223)+E(f18(f5(x9221,x9222,x9223),f5(x9224,x9222,x9223),x9223),f5(f18(x9221,x9224,x9223),x9222,x9223)) % 0.87/0.91 [923]~P55(x9233)+E(f5(f10(x9231,x9232,x9233),f10(x9234,x9232,x9233),x9233),f10(f5(x9231,x9234,x9233),x9232,x9233)) % 0.87/0.91 [924]~P41(x9243)+E(f5(f10(x9241,x9242,x9243),f10(x9244,x9242,x9243),x9243),f10(f5(x9241,x9244,x9243),x9242,x9243)) % 0.87/0.91 [925]~P55(x9253)+E(f9(f10(x9251,x9252,x9253),f10(x9254,x9252,x9253),x9253),f10(f9(x9251,x9254,x9253),x9252,x9253)) % 0.87/0.91 [926]~P41(x9263)+E(f9(f10(x9261,x9262,x9263),f10(x9264,x9262,x9263),x9263),f10(f9(x9261,x9264,x9263),x9262,x9263)) % 0.87/0.91 [927]~P25(x9273)+E(f17(f9(x9271,x9272,x9273),f9(x9274,x9272,x9273),x9273),f9(f17(x9271,x9274,x9273),x9272,x9273)) % 0.87/0.91 [928]~P25(x9283)+E(f18(f9(x9281,x9282,x9283),f9(x9284,x9282,x9283),x9283),f9(f18(x9281,x9284,x9283),x9282,x9283)) % 0.87/0.91 [929]~P32(x9293)+E(f18(f17(x9291,x9292,x9293),f17(x9294,x9292,x9293),x9293),f17(f18(x9291,x9294,x9293),x9292,x9293)) % 0.87/0.91 [930]~P32(x9303)+E(f17(f18(x9301,x9302,x9303),f18(x9304,x9302,x9303),x9303),f18(f17(x9301,x9304,x9303),x9302,x9303)) % 0.87/0.91 [931]~P4(x9313)+E(f7(f14(x9311,x9312,x9313),f14(x9311,x9314,x9313),x9313),f14(x9311,f7(x9312,x9314,x9313),x9313)) % 0.87/0.91 [932]~P31(x9323)+E(f5(f14(x9321,x9322,x9323),f14(x9324,x9322,x9323),x9323),f14(f5(x9321,x9324,x9323),x9322,x9323)) % 0.87/0.91 [933]~P4(x9333)+E(f7(f14(x9331,x9332,x9333),f14(x9334,x9332,x9333),x9333),f14(f7(x9331,x9334,x9333),x9332,x9333)) % 0.87/0.91 [1089]~P1(x10894)+P5(f16(x10891,f15(x10892,x10893,x10894),x10894),f15(f16(x10891,x10892,x10894),f16(x10891,x10893,x10894),x10894),x10894) % 0.87/0.91 [1090]~P32(x10904)+P5(f18(x10901,f17(x10902,x10903,x10904),x10904),f17(f18(x10901,x10902,x10904),f18(x10901,x10903,x10904),x10904),x10904) % 0.87/0.91 [1091]~P1(x10913)+P5(f16(f15(x10911,x10912,x10913),f15(x10911,x10914,x10913),x10913),f15(x10911,f16(x10912,x10914,x10913),x10913),x10913) % 0.87/0.91 [1092]~P32(x10923)+P5(f18(f17(x10921,x10922,x10923),f17(x10921,x10924,x10923),x10923),f17(x10921,f18(x10922,x10924,x10923),x10923),x10923) % 0.87/0.91 [890]~P4(x8904)+E(f7(f5(x8901,f14(x8902,x8903,x8904),x8904),x8903,x8904),f7(x8901,x8903,x8904)) % 0.87/0.91 [891]~P4(x8914)+E(f7(f5(x8911,f14(x8912,x8913,x8914),x8914),x8912,x8914),f7(x8911,x8912,x8914)) % 0.87/0.91 [941]~P48(x9413)+E(f5(f11(x9411,x9412,x9413),f11(x9414,x9412,x9413),x9413),f11(f5(x9411,x9414,f23(x9413)),x9412,x9413)) % 0.87/0.91 [995]~P48(x9954)+E(f5(x9951,f14(x9952,f11(x9953,x9952,x9954),x9954),x9954),f11(f20(x9951,x9953,x9954),x9952,x9954)) % 0.87/0.91 [996]~P4(x9964)+E(f7(f14(x9961,f7(x9962,x9963,x9964),x9964),x9963,x9964),f7(f14(x9961,x9962,x9964),x9963,x9964)) % 0.87/0.91 [998]~P8(x9984)+E(f7(f9(x9981,f7(x9982,x9983,x9984),x9984),x9983,x9984),f7(f9(x9981,x9982,x9984),x9983,x9984)) % 0.87/0.91 [1001]~P8(x10013)+E(f7(f9(f7(x10011,x10012,x10013),x10014,x10013),x10012,x10013),f7(f9(x10011,x10014,x10013),x10012,x10013)) % 0.87/0.91 [1002]~P4(x10024)+E(f7(f5(x10021,f7(x10022,x10023,x10024),x10024),x10023,x10024),f7(f5(x10021,x10022,x10024),x10023,x10024)) % 0.87/0.91 [1003]~P4(x10033)+E(f7(f14(f7(x10031,x10032,x10033),x10034,x10033),x10032,x10033),f7(f14(x10031,x10034,x10033),x10032,x10033)) % 0.87/0.91 [1004]~P4(x10043)+E(f7(f5(f7(x10041,x10042,x10043),x10044,x10043),x10042,x10043),f7(f5(x10041,x10044,x10043),x10042,x10043)) % 0.87/0.91 [1072]~P4(x10723)+E(f7(f14(f7(x10721,x10722,x10723),f7(x10724,x10722,x10723),x10723),x10722,x10723),f7(f14(x10721,x10724,x10723),x10722,x10723)) % 0.87/0.91 [1073]~P4(x10733)+E(f7(f5(f7(x10731,x10732,x10733),f7(x10734,x10732,x10733),x10733),x10732,x10733),f7(f5(x10731,x10734,x10733),x10732,x10733)) % 0.87/0.91 [1074]~P8(x10743)+E(f7(f9(f7(x10741,x10742,x10743),f7(x10744,x10742,x10743),x10743),x10742,x10743),f7(f9(x10741,x10744,x10743),x10742,x10743)) % 0.87/0.91 [1005]~P31(x10053)+E(f14(f14(x10051,x10052,x10053),f14(x10054,x10055,x10053),x10053),f14(f14(x10051,x10054,x10053),f14(x10052,x10055,x10053),x10053)) % 0.87/0.91 [1006]~P31(x10063)+E(f5(f5(x10061,x10062,x10063),f5(x10064,x10065,x10063),x10063),f5(f5(x10061,x10064,x10063),f5(x10062,x10065,x10063),x10063)) % 0.87/0.91 [1007]~P17(x10073)+E(f9(f5(x10071,x10072,x10073),f5(x10074,x10075,x10073),x10073),f5(f9(x10071,x10074,x10073),f9(x10072,x10075,x10073),x10073)) % 0.87/0.91 [1019]~P21(x10193)+E(f20(f5(x10191,x10192,x10193),f5(x10194,x10195,f23(x10193)),x10193),f5(f20(x10191,x10194,x10193),f20(x10192,x10195,x10193),f23(x10193))) % 0.87/0.91 [1086]~P71(x10863)+E(f5(f14(x10861,x10862,x10863),f5(f14(x10864,x10862,x10863),x10865,x10863),x10863),f5(f14(f5(x10861,x10864,x10863),x10862,x10863),x10865,x10863)) % 0.87/0.91 [1112]~P13(x11123)+P5(f8(f9(f5(x11121,x11122,x11123),f5(x11124,x11125,x11123),x11123),x11123),f5(f8(f9(x11121,x11124,x11123),x11123),f8(f9(x11122,x11125,x11123),x11123),x11123),x11123) % 0.87/0.91 [1113]~P42(x11133)+E(f5(f5(f14(f9(x11131,x11132,x11133),f9(x11134,x11135,x11133),x11133),f14(f9(x11131,x11132,x11133),x11135,x11133),x11133),f14(x11132,f9(x11134,x11135,x11133),x11133),x11133),f9(f14(x11131,x11134,x11133),f14(x11132,x11135,x11133),x11133)) % 0.87/0.91 [1099]~P67(x10993)+E(f5(f14(x10991,x10992,x10993),f5(f14(f9(x10994,x10991,x10993),x10992,x10993),x10995,x10993),x10993),f5(f14(x10994,x10992,x10993),x10995,x10993)) % 0.87/0.91 [1111]~P45(x11114)+E(f5(f14(x11111,f10(f9(x11112,x11113,x11114),x11115,x11114),x11114),f14(f10(f9(x11111,x11116,x11114),x11115,x11114),x11113,x11114),x11114),f10(f9(f14(x11111,x11112,x11114),f14(x11116,x11113,x11114),x11114),x11115,x11114)) % 0.87/0.91 [548]~P33(x5481)+~P5(f12(x5481),f12(x5481),x5481)+E(f5(f12(x5481),f12(x5481),x5481),f12(x5481)) % 0.87/0.91 [513]E(x5131,x5132)+~P5(x5132,x5131,a1)+~P5(x5131,x5132,a1) % 0.87/0.91 [324]~P26(x3242)+~E(f13(x3241,x3242),x3241)+E(x3241,f12(x3242)) % 0.87/0.91 [325]~P13(x3252)+~E(f8(x3251,x3252),f12(x3252))+E(x3251,f12(x3252)) % 0.87/0.91 [326]~P20(x3262)+~E(f13(x3261,x3262),f12(x3262))+E(x3261,f12(x3262)) % 0.87/0.91 [327]~P20(x3271)+~E(f13(x3272,x3271),f12(x3271))+E(f12(x3271),x3272) % 0.87/0.91 [376]~P52(x3762)+~P9(x3762)+E(f9(x3761,x3761,x3762),f12(x3762)) % 0.87/0.91 [383]~P46(x3832)+P7(x3831,f12(x3832),x3832)+E(f8(x3831,x3832),x3831) % 0.87/0.91 [402]~P13(x4022)+P7(f12(x4022),f8(x4021,x4022),x4022)+E(x4021,f12(x4022)) % 0.87/0.91 [406]~P14(x4062)+~E(f5(x4061,x4061,x4062),f12(x4062))+E(x4061,f12(x4062)) % 0.87/0.91 [411]~P31(x4112)+~P6(f12(x4112),x4111,x4112)+E(x4111,f12(x4112)) % 0.87/0.91 [436]~P13(x4362)+~P5(f12(x4362),x4361,x4362)+E(f8(x4361,x4362),x4361) % 0.87/0.91 [437]~P13(x4372)+~P7(f12(x4372),x4371,x4372)+E(f8(x4371,x4372),x4371) % 0.87/0.91 [446]~P13(x4462)+~P5(x4461,f12(x4462),x4462)+E(f8(x4461,x4462),f13(x4461,x4462)) % 0.87/0.91 [447]~P13(x4472)+~P7(x4471,f12(x4472),x4472)+E(f8(x4471,x4472),f13(x4471,x4472)) % 0.87/0.91 [448]~P46(x4482)+~P7(x4481,f12(x4482),x4482)+E(f8(x4481,x4482),f13(x4481,x4482)) % 0.87/0.91 [471]~P13(x4712)+~P5(f8(x4711,x4712),f12(x4712),x4712)+E(x4711,f12(x4712)) % 0.87/0.91 [549]~P14(x5492)+~P5(x5491,f12(x5492),x5492)+P5(x5491,f13(x5491,x5492),x5492) % 0.87/0.91 [550]~P26(x5502)+~P5(x5501,f12(x5502),x5502)+P5(x5501,f13(x5501,x5502),x5502) % 0.87/0.91 [551]~P12(x5512)+~P7(x5511,f12(x5512),x5512)+P7(x5511,f13(x5511,x5512),x5512) % 0.87/0.91 [552]~P14(x5522)+~P5(f12(x5522),x5521,x5522)+P5(f13(x5521,x5522),x5521,x5522) % 0.87/0.91 [553]~P26(x5532)+~P5(f12(x5532),x5531,x5532)+P5(f13(x5531,x5532),x5531,x5532) % 0.87/0.91 [562]~P25(x5621)+~P5(x5622,f12(x5621),x5621)+P5(f12(x5621),f13(x5622,x5621),x5621) % 0.87/0.91 [563]~P25(x5631)+~P7(x5632,f12(x5631),x5631)+P7(f12(x5631),f13(x5632,x5631),x5631) % 0.87/0.91 [564]~P25(x5642)+~P5(f12(x5642),x5641,x5642)+P5(f13(x5641,x5642),f12(x5642),x5642) % 0.87/0.91 [565]~P25(x5652)+~P7(f12(x5652),x5651,x5652)+P7(f13(x5651,x5652),f12(x5652),x5652) % 0.87/0.91 [568]~P14(x5682)+~P5(x5681,f13(x5681,x5682),x5682)+P5(x5681,f12(x5682),x5682) % 0.87/0.91 [569]~P26(x5692)+~P5(x5691,f13(x5691,x5692),x5692)+P5(x5691,f12(x5692),x5692) % 0.87/0.91 [570]~P12(x5702)+~P7(x5701,f13(x5701,x5702),x5702)+P7(x5701,f12(x5702),x5702) % 0.87/0.91 [571]~P14(x5711)+~P5(f13(x5712,x5711),x5712,x5711)+P5(f12(x5711),x5712,x5711) % 0.87/0.91 [572]~P26(x5721)+~P5(f13(x5722,x5721),x5722,x5721)+P5(f12(x5721),x5722,x5721) % 0.87/0.91 [579]~P25(x5792)+~P5(f12(x5792),f13(x5791,x5792),x5792)+P5(x5791,f12(x5792),x5792) % 0.87/0.91 [580]~P25(x5802)+~P7(f12(x5802),f13(x5801,x5802),x5802)+P7(x5801,f12(x5802),x5802) % 0.87/0.91 [581]~P25(x5811)+~P5(f13(x5812,x5811),f12(x5811),x5811)+P5(f12(x5811),x5812,x5811) % 0.87/0.91 [582]~P25(x5821)+~P7(f13(x5822,x5821),f12(x5821),x5821)+P7(f12(x5821),x5822,x5821) % 0.87/0.91 [669]~P14(x6691)+~P5(f12(x6691),x6692,x6691)+P5(f12(x6691),f5(x6692,x6692,x6691),x6691) % 0.87/0.91 [670]~P14(x6701)+~P7(f12(x6701),x6702,x6701)+P7(f12(x6701),f5(x6702,x6702,x6701),x6701) % 0.87/0.91 [671]~P14(x6712)+~P5(x6711,f12(x6712),x6712)+P5(f5(x6711,x6711,x6712),f12(x6712),x6712) % 0.87/0.91 [672]~P12(x6722)+~P7(x6721,f12(x6722),x6722)+P7(f5(x6721,x6721,x6722),f12(x6722),x6722) % 0.87/0.91 [673]~P14(x6732)+~P7(x6731,f12(x6732),x6732)+P7(f5(x6731,x6731,x6732),f12(x6732),x6732) % 0.87/0.91 [761]~P14(x7612)+~P5(f5(x7611,x7611,x7612),f12(x7612),x7612)+P5(x7611,f12(x7612),x7612) % 0.87/0.91 [762]~P12(x7622)+~P7(f5(x7621,x7621,x7622),f12(x7622),x7622)+P7(x7621,f12(x7622),x7622) % 0.87/0.91 [763]~P14(x7632)+~P7(f5(x7631,x7631,x7632),f12(x7632),x7632)+P7(x7631,f12(x7632),x7632) % 0.87/0.91 [764]~P14(x7641)+~P5(f12(x7641),f5(x7642,x7642,x7641),x7641)+P5(f12(x7641),x7642,x7641) % 0.87/0.91 [765]~P14(x7651)+~P7(f12(x7651),f5(x7652,x7652,x7651),x7651)+P7(f12(x7651),x7652,x7651) % 0.87/0.91 [377]~P52(x3772)+~P9(x3772)+E(f5(x3771,f12(x3772),x3772),x3771) % 0.87/0.91 [381]~P53(x3812)+~P55(x3812)+E(f10(x3811,f12(x3812),x3812),f12(x3812)) % 0.87/0.91 [458]~P14(x4582)+E(x4581,f12(x4582))+~E(f15(x4581,f13(x4581,x4582),x4582),f12(x4582)) % 0.87/0.91 [459]~P14(x4592)+E(x4591,f12(x4592))+~E(f16(x4591,f13(x4591,x4592),x4592),f12(x4592)) % 0.87/0.91 [567]~P53(x5671)+~P55(x5671)+E(f10(f14(f12(x5671),x5672,x5671),x5672,x5671),f12(x5671)) % 0.87/0.91 [431]P5(x4312,x4311,x4313)+~P32(x4313)+P5(x4311,x4312,x4313) % 0.87/0.91 [434]P7(x4342,x4341,x4343)+~P32(x4343)+P5(x4341,x4342,x4343) % 0.87/0.91 [461]~P38(x4613)+~P7(x4611,x4612,x4613)+P5(x4611,x4612,x4613) % 0.87/0.91 [462]~P44(x4623)+~P7(x4621,x4622,x4623)+P5(x4621,x4622,x4623) % 0.87/0.91 [526]~P7(x5263,x5262,x5261)+~P32(x5261)+~P5(x5262,x5263,x5261) % 0.87/0.91 [528]~P7(x5283,x5282,x5281)+~P32(x5281)+~P7(x5282,x5283,x5281) % 0.87/0.91 [529]~P7(x5293,x5292,x5291)+~P38(x5291)+~P7(x5292,x5293,x5291) % 0.87/0.91 [530]~P7(x5303,x5302,x5301)+~P44(x5301)+~P5(x5302,x5303,x5301) % 0.87/0.91 [532]~P7(x5323,x5322,x5321)+~P44(x5321)+~P7(x5322,x5323,x5321) % 0.87/0.91 [606]~P5(x6061,x6063,a1)+P5(x6061,x6062,a1)+~P5(x6063,x6062,a1) % 0.87/0.91 [333]~P10(x3333)+E(x3331,x3332)+~E(f13(x3331,x3333),f13(x3332,x3333)) % 0.87/0.91 [334]~P20(x3343)+E(x3341,x3342)+~E(f13(x3341,x3343),f13(x3342,x3343)) % 0.87/0.91 [404]~P20(x4043)+E(x4041,x4042)+~E(f9(x4041,x4042,x4043),f12(x4043)) % 0.87/0.91 [405]~P17(x4053)+E(x4051,x4052)+~E(f9(x4051,x4052,x4053),f12(x4053)) % 0.87/0.91 [408]~P12(x4083)+P6(x4081,x4082,x4083)+~E(f8(x4081,x4083),f8(x4082,x4083)) % 0.87/0.91 [418]~P20(x4183)+~E(f5(x4181,x4182,x4183),f12(x4183))+E(x4181,f13(x4182,x4183)) % 0.87/0.91 [419]~P20(x4192)+~E(f5(x4191,x4193,x4192),f12(x4192))+E(f13(x4191,x4192),x4193) % 0.87/0.91 [463]~P11(x4633)+~P5(x4632,x4631,x4633)+E(f15(x4631,x4632,x4633),x4632) % 0.87/0.91 [464]~P11(x4643)+~P5(x4641,x4642,x4643)+E(f15(x4641,x4642,x4643),x4641) % 0.87/0.91 [465]~P15(x4653)+~P5(x4651,x4652,x4653)+E(f16(x4651,x4652,x4653),x4652) % 0.87/0.91 [466]~P15(x4663)+~P5(x4662,x4661,x4663)+E(f16(x4661,x4662,x4663),x4661) % 0.87/0.91 [467]~P32(x4673)+~P5(x4672,x4671,x4673)+E(f17(x4671,x4672,x4673),x4672) % 0.87/0.91 [468]~P32(x4683)+~P5(x4681,x4682,x4683)+E(f17(x4681,x4682,x4683),x4681) % 0.87/0.91 [469]~P32(x4693)+~P5(x4691,x4692,x4693)+E(f18(x4691,x4692,x4693),x4692) % 0.87/0.91 [470]~P32(x4703)+~P5(x4702,x4701,x4703)+E(f18(x4701,x4702,x4703),x4701) % 0.87/0.91 [472]~P11(x4723)+P5(x4721,x4722,x4723)+~E(f15(x4721,x4722,x4723),x4721) % 0.87/0.91 [473]~P15(x4733)+P5(x4731,x4732,x4733)+~E(f16(x4731,x4732,x4733),x4732) % 0.87/0.91 [474]~P32(x4743)+P5(x4741,x4742,x4743)+~E(f17(x4741,x4742,x4743),x4741) % 0.87/0.91 [475]~P32(x4753)+P5(x4751,x4752,x4753)+~E(f18(x4751,x4752,x4753),x4752) % 0.87/0.91 [484]~P4(x4843)+~P6(x4842,x4841,x4843)+E(f7(x4841,x4842,x4843),f12(x4843)) % 0.87/0.91 [485]~P4(x4853)+P6(x4851,x4852,x4853)+~E(f7(x4852,x4851,x4853),f12(x4853)) % 0.87/0.91 [517]~P12(x5173)+~P6(x5171,x5172,x5173)+P6(x5171,f8(x5172,x5173),x5173) % 0.87/0.91 [518]~P47(x5183)+~P6(x5181,x5182,x5183)+P6(x5181,f13(x5182,x5183),x5183) % 0.87/0.91 [519]~P12(x5192)+~P6(x5191,x5193,x5192)+P6(f8(x5191,x5192),x5193,x5192) % 0.87/0.91 [520]~P47(x5202)+~P6(x5201,x5203,x5202)+P6(f13(x5201,x5202),x5203,x5202) % 0.87/0.91 [556]~P12(x5563)+P6(x5561,x5562,x5563)+~P6(x5561,f8(x5562,x5563),x5563) % 0.87/0.91 [557]~P47(x5573)+P6(x5571,x5572,x5573)+~P6(x5571,f13(x5572,x5573),x5573) % 0.87/0.91 [558]~P13(x5583)+P5(x5581,x5582,x5583)+~P5(f8(x5581,x5583),x5582,x5583) % 0.87/0.91 [559]~P12(x5593)+P7(x5591,x5592,x5593)+~P7(f8(x5591,x5593),x5592,x5593) % 0.87/0.91 [560]~P12(x5603)+P6(x5601,x5602,x5603)+~P6(f8(x5601,x5603),x5602,x5603) % 0.87/0.91 [561]~P47(x5613)+P6(x5611,x5612,x5613)+~P6(f13(x5611,x5613),x5612,x5613) % 0.87/0.91 [576]~P25(x5762)+~P5(x5763,x5761,x5762)+P5(f13(x5761,x5762),f13(x5763,x5762),x5762) % 0.87/0.91 [577]~P25(x5772)+~P7(x5773,x5771,x5772)+P7(f13(x5771,x5772),f13(x5773,x5772),x5772) % 0.87/0.91 [596]~P25(x5963)+~P5(x5962,f13(x5961,x5963),x5963)+P5(x5961,f13(x5962,x5963),x5963) % 0.87/0.91 [598]~P25(x5983)+~P7(x5982,f13(x5981,x5983),x5983)+P7(x5981,f13(x5982,x5983),x5983) % 0.87/0.91 [599]~P13(x5992)+~P5(f8(x5991,x5992),x5993,x5992)+P5(f13(x5991,x5992),x5993,x5992) % 0.87/0.91 [601]~P25(x6012)+~P5(f13(x6013,x6012),x6011,x6012)+P5(f13(x6011,x6012),x6013,x6012) % 0.87/0.91 [602]~P12(x6022)+~P7(f8(x6021,x6022),x6023,x6022)+P7(f13(x6021,x6022),x6023,x6022) % 0.87/0.91 [604]~P25(x6042)+~P7(f13(x6043,x6042),x6041,x6042)+P7(f13(x6041,x6042),x6043,x6042) % 0.87/0.91 [618]~P25(x6183)+P5(x6181,x6182,x6183)+~P5(f13(x6182,x6183),f13(x6181,x6183),x6183) % 0.87/0.91 [619]~P25(x6193)+P7(x6191,x6192,x6193)+~P7(f13(x6192,x6193),f13(x6191,x6193),x6193) % 0.87/0.91 [667]~P25(x6673)+~P5(x6671,x6672,x6673)+P5(f9(x6671,x6672,x6673),f12(x6673),x6673) % 0.87/0.91 [668]~P25(x6683)+~P7(x6681,x6682,x6683)+P7(f9(x6681,x6682,x6683),f12(x6683),x6683) % 0.87/0.91 [688]~P14(x6883)+~P5(x6881,f13(x6882,x6883),x6883)+P5(f5(x6881,x6882,x6883),f12(x6883),x6883) % 0.87/0.91 [718]~P25(x7183)+P5(x7181,x7182,x7183)+~P5(f9(x7181,x7182,x7183),f12(x7183),x7183) % 0.87/0.91 [719]~P25(x7193)+P7(x7191,x7192,x7193)+~P7(f9(x7191,x7192,x7193),f12(x7193),x7193) % 0.87/0.91 [790]~P14(x7903)+~P5(f5(x7901,x7902,x7903),f12(x7903),x7903)+P5(x7901,f13(x7902,x7903),x7903) % 0.87/0.91 [417]~P3(x4172)+E(x4171,f12(x4172))+~E(f20(x4171,x4173,x4172),f12(f23(x4172))) % 0.87/0.91 [443]~P3(x4432)+~E(f20(x4433,x4431,x4432),f12(f23(x4432)))+E(x4431,f12(f23(x4432))) % 0.87/0.91 [444]~P48(x4442)+~E(f6(x4441,x4443,x4442),f12(f23(x4442)))+E(x4441,f12(f23(x4442))) % 0.87/0.91 [516]~P55(x5162)+E(x5161,f12(x5162))+E(f10(f13(x5163,x5162),f13(x5161,x5162),x5162),f10(x5163,x5161,x5162)) % 0.87/0.91 [523]~P55(x5232)+E(x5231,f12(x5232))+E(f10(f14(x5233,x5231,x5232),x5231,x5232),x5233) % 0.87/0.91 [524]~P53(x5242)+~P55(x5242)+E(f10(f13(x5241,x5242),f13(x5243,x5242),x5242),f10(x5241,x5243,x5242)) % 0.87/0.91 [594]~P55(x5942)+E(x5941,f12(x5942))+E(f10(x5943,f13(x5941,x5942),x5942),f13(f10(x5943,x5941,x5942),x5942)) % 0.87/0.91 [605]~P53(x6053)+~P55(x6053)+E(f10(x6051,f13(x6052,x6053),x6053),f13(f10(x6051,x6052,x6053),x6053)) % 0.87/0.91 [637]~P57(x6372)+E(x6371,f12(x6372))+E(f10(f8(x6373,x6372),f8(x6371,x6372),x6372),f8(f10(x6373,x6371,x6372),x6372)) % 0.87/0.91 [638]~P57(x6382)+~P53(x6382)+E(f10(f8(x6381,x6382),f8(x6383,x6382),x6382),f8(f10(x6381,x6383,x6382),x6382)) % 0.87/0.91 [689]~P12(x6892)+~P5(f12(x6892),x6893,x6892)+E(f14(f8(x6891,x6892),x6893,x6892),f8(f14(x6891,x6893,x6892),x6892)) % 0.87/0.91 [934]~P61(x9342)+E(x9341,f12(x9342))+~E(f5(f14(x9343,x9343,x9342),f14(x9341,x9341,x9342),x9342),f12(x9342)) % 0.87/0.91 [935]~P61(x9352)+E(x9351,f12(x9352))+~E(f5(f14(x9351,x9351,x9352),f14(x9353,x9353,x9352),x9352),f12(x9352)) % 0.87/0.91 [1047]~P61(x10472)+E(x10471,f12(x10472))+P7(f12(x10472),f5(f14(x10473,x10473,x10472),f14(x10471,x10471,x10472),x10472),x10472) % 0.87/0.91 [1048]~P61(x10482)+E(x10481,f12(x10482))+P7(f12(x10482),f5(f14(x10481,x10481,x10482),f14(x10483,x10483,x10482),x10482),x10482) % 0.87/0.91 [1094]~P61(x10942)+E(x10941,f12(x10942))+~P5(f5(f14(x10943,x10943,x10942),f14(x10941,x10941,x10942),x10942),f12(x10942),x10942) % 0.87/0.91 [1095]~P61(x10952)+E(x10951,f12(x10952))+~P5(f5(f14(x10951,x10951,x10952),f14(x10953,x10953,x10952),x10952),f12(x10952),x10952) % 0.87/0.91 [534]~P22(x5344)+E(x5341,x5342)+~E(f5(x5343,x5341,x5344),f5(x5343,x5342,x5344)) % 0.87/0.91 [535]~P23(x5354)+E(x5351,x5352)+~E(f5(x5353,x5351,x5354),f5(x5353,x5352,x5354)) % 0.87/0.91 [536]~P17(x5364)+E(x5361,x5362)+~E(f9(x5363,x5363,x5364),f9(x5361,x5362,x5364)) % 0.87/0.91 [538]~P22(x5384)+E(x5381,x5382)+~E(f5(x5381,x5383,x5384),f5(x5382,x5383,x5384)) % 0.87/0.91 [539]~P17(x5393)+E(x5391,x5392)+~E(f9(x5391,x5392,x5393),f9(x5394,x5394,x5393)) % 0.87/0.91 [641]~P15(x6414)+~P5(x6411,x6413,x6414)+P5(x6411,f16(x6412,x6413,x6414),x6414) % 0.87/0.91 [642]~P15(x6424)+~P5(x6421,x6422,x6424)+P5(x6421,f16(x6422,x6423,x6424),x6424) % 0.87/0.91 [644]~P32(x6444)+~P5(x6441,x6443,x6444)+P5(x6441,f18(x6442,x6443,x6444),x6444) % 0.87/0.91 [646]~P32(x6464)+~P5(x6461,x6462,x6464)+P5(x6461,f18(x6462,x6463,x6464),x6464) % 0.87/0.91 [647]~P15(x6474)+~P7(x6471,x6473,x6474)+P7(x6471,f16(x6472,x6473,x6474),x6474) % 0.87/0.91 [648]~P15(x6484)+~P7(x6481,x6482,x6484)+P7(x6481,f16(x6482,x6483,x6484),x6484) % 0.87/0.91 [650]~P32(x6504)+~P7(x6501,x6503,x6504)+P7(x6501,f18(x6502,x6503,x6504),x6504) % 0.87/0.91 [652]~P32(x6524)+~P7(x6521,x6522,x6524)+P7(x6521,f18(x6522,x6523,x6524),x6524) % 0.87/0.91 [653]~P31(x6534)+~P6(x6531,x6533,x6534)+P6(x6531,f14(x6532,x6533,x6534),x6534) % 0.87/0.91 [654]~P31(x6544)+~P6(x6541,x6542,x6544)+P6(x6541,f14(x6542,x6543,x6544),x6544) % 0.87/0.91 [655]~P11(x6553)+~P5(x6552,x6554,x6553)+P5(f15(x6551,x6552,x6553),x6554,x6553) % 0.87/0.91 [656]~P11(x6563)+~P5(x6561,x6564,x6563)+P5(f15(x6561,x6562,x6563),x6564,x6563) % 0.87/0.91 [658]~P32(x6583)+~P5(x6582,x6584,x6583)+P5(f17(x6581,x6582,x6583),x6584,x6583) % 0.87/0.91 [660]~P32(x6603)+~P5(x6601,x6604,x6603)+P5(f17(x6601,x6602,x6603),x6604,x6603) % 0.87/0.91 [661]~P11(x6613)+~P7(x6612,x6614,x6613)+P7(f15(x6611,x6612,x6613),x6614,x6613) % 0.87/0.91 [662]~P11(x6623)+~P7(x6621,x6624,x6623)+P7(f15(x6621,x6622,x6623),x6624,x6623) % 0.87/0.91 [664]~P32(x6643)+~P7(x6642,x6644,x6643)+P7(f17(x6641,x6642,x6643),x6644,x6643) % 0.87/0.91 [666]~P32(x6663)+~P7(x6661,x6664,x6663)+P7(f17(x6661,x6662,x6663),x6664,x6663) % 0.87/0.91 [693]~P11(x6933)+P5(x6931,x6932,x6933)+~P5(x6931,f15(x6934,x6932,x6933),x6933) % 0.87/0.91 [695]~P11(x6953)+P5(x6951,x6952,x6953)+~P5(x6951,f15(x6952,x6954,x6953),x6953) % 0.87/0.91 [697]~P32(x6973)+P5(x6971,x6972,x6973)+~P5(x6971,f17(x6974,x6972,x6973),x6973) % 0.87/0.91 [699]~P32(x6993)+P5(x6991,x6992,x6993)+~P5(x6991,f17(x6992,x6994,x6993),x6993) % 0.87/0.91 [700]~P32(x7003)+P7(x7001,x7002,x7003)+~P7(x7001,f17(x7004,x7002,x7003),x7003) % 0.87/0.91 [701]~P32(x7013)+P7(x7011,x7012,x7013)+~P7(x7011,f17(x7012,x7014,x7013),x7013) % 0.87/0.91 [703]~P32(x7033)+P5(x7031,x7032,x7033)+~P5(f18(x7034,x7031,x7033),x7032,x7033) % 0.87/0.91 [705]~P32(x7053)+P5(x7051,x7052,x7053)+~P5(f18(x7051,x7054,x7053),x7052,x7053) % 0.87/0.91 [707]~P15(x7073)+P5(x7071,x7072,x7073)+~P5(f16(x7074,x7071,x7073),x7072,x7073) % 0.87/0.91 [709]~P15(x7093)+P5(x7091,x7092,x7093)+~P5(f16(x7091,x7094,x7093),x7092,x7093) % 0.87/0.91 [710]~P32(x7103)+P7(x7101,x7102,x7103)+~P7(f18(x7104,x7101,x7103),x7102,x7103) % 0.87/0.91 [711]~P32(x7113)+P7(x7111,x7112,x7113)+~P7(f18(x7111,x7114,x7113),x7112,x7113) % 0.87/0.91 [712]~P31(x7123)+P6(x7121,x7122,x7123)+~P6(f14(x7124,x7121,x7123),x7122,x7123) % 0.87/0.91 [713]~P31(x7133)+P6(x7131,x7132,x7133)+~P6(f14(x7131,x7134,x7133),x7132,x7133) % 0.87/0.91 [795]~P34(x7953)+~P5(x7951,x7954,x7953)+P5(f5(x7951,x7952,x7953),f5(x7954,x7952,x7953),x7953) % 0.87/0.91 [796]~P35(x7963)+~P5(x7961,x7964,x7963)+P5(f5(x7961,x7962,x7963),f5(x7964,x7962,x7963),x7963) % 0.87/0.91 [797]~P34(x7973)+~P5(x7972,x7974,x7973)+P5(f5(x7971,x7972,x7973),f5(x7971,x7974,x7973),x7973) % 0.87/0.91 [798]~P35(x7983)+~P5(x7982,x7984,x7983)+P5(f5(x7981,x7982,x7983),f5(x7981,x7984,x7983),x7983) % 0.87/0.91 [799]~P34(x7993)+~P7(x7991,x7994,x7993)+P7(f5(x7991,x7992,x7993),f5(x7994,x7992,x7993),x7993) % 0.87/0.91 [800]~P36(x8003)+~P7(x8001,x8004,x8003)+P7(f5(x8001,x8002,x8003),f5(x8004,x8002,x8003),x8003) % 0.87/0.91 [801]~P34(x8013)+~P7(x8012,x8014,x8013)+P7(f5(x8011,x8012,x8013),f5(x8011,x8014,x8013),x8013) % 0.87/0.91 [802]~P36(x8023)+~P7(x8022,x8024,x8023)+P7(f5(x8021,x8022,x8023),f5(x8021,x8024,x8023),x8023) % 0.87/0.91 [803]~P52(x8033)+~P6(x8031,x8034,x8033)+P6(f14(x8031,x8032,x8033),f14(x8034,x8032,x8033),x8033) % 0.87/0.91 [804]~P52(x8043)+~P6(x8042,x8044,x8043)+P6(f14(x8041,x8042,x8043),f14(x8041,x8044,x8043),x8043) % 0.87/0.91 [969]~P34(x9693)+P5(x9691,x9692,x9693)+~P5(f5(x9694,x9691,x9693),f5(x9694,x9692,x9693),x9693) % 0.87/0.91 [970]~P34(x9703)+P5(x9701,x9702,x9703)+~P5(f5(x9701,x9704,x9703),f5(x9702,x9704,x9703),x9703) % 0.87/0.91 [971]~P34(x9713)+P7(x9711,x9712,x9713)+~P7(f5(x9714,x9711,x9713),f5(x9714,x9712,x9713),x9713) % 0.87/0.91 [972]~P34(x9723)+P7(x9721,x9722,x9723)+~P7(f5(x9721,x9724,x9723),f5(x9722,x9724,x9723),x9723) % 0.87/0.91 [675]~P17(x6753)+E(x6751,f13(x6752,x6753))+~E(f5(x6751,f5(x6754,x6752,x6753),x6753),x6754) % 0.87/0.91 [690]~P4(x6903)+~P6(x6904,x6902,x6903)+E(f7(f7(x6901,x6902,x6903),x6904,x6903),f7(x6901,x6904,x6903)) % 0.87/0.91 [766]~P53(x7663)+~P55(x7663)+E(f10(f14(x7661,x7662,x7663),x7664,x7663),f14(f10(x7661,x7664,x7663),x7662,x7663)) % 0.87/0.91 [768]~P8(x7682)+~E(f7(x7681,x7683,x7682),f7(x7684,x7683,x7682))+E(f7(f13(x7681,x7682),x7683,x7682),f7(f13(x7684,x7682),x7683,x7682)) % 0.87/0.91 [968]~P27(x9684)+~P5(f5(x9681,x9683,x9684),x9682,x9684)+P5(x9681,f5(x9682,f8(x9683,x9684),x9684),x9684) % 0.87/0.91 [1013]~P52(x10133)+~P9(x10133)+E(f5(f14(x10131,x10132,x10133),f14(x10131,x10134,x10133),x10133),f5(f14(x10131,x10134,x10133),f14(x10131,x10132,x10133),x10133)) % 0.87/0.91 [1049]~P12(x10494)+P7(x10491,f5(x10492,x10493,x10494),x10494)+~P7(f8(f9(x10491,x10492,x10494),x10494),x10493,x10494) % 0.87/0.91 [1050]~P12(x10503)+P7(f9(x10501,x10502,x10503),x10504,x10503)+~P7(f8(f9(x10504,x10501,x10503),x10503),x10502,x10503) % 0.87/0.91 [533]~P3(x5334)+E(x5331,x5332)+~E(f20(x5333,x5331,x5334),f20(x5335,x5332,x5334)) % 0.87/0.91 [537]~P3(x5374)+E(x5371,x5372)+~E(f20(x5371,x5373,x5374),f20(x5372,x5375,x5374)) % 0.87/0.91 [880]~P17(x8803)+E(f5(x8801,x8802,x8803),x8804)+~E(f5(x8801,f5(x8805,x8802,x8803),x8803),f5(x8805,x8804,x8803)) % 0.87/0.91 [1014]~P53(x10143)+~P55(x10143)+E(f10(f14(x10141,x10142,x10143),f14(x10144,x10145,x10143),x10143),f14(f10(x10141,x10144,x10143),f10(x10142,x10145,x10143),x10143)) % 0.87/0.91 [1087]~P67(x10874)+~E(f5(f14(x10873,x10875,x10874),x10871,x10874),f5(f14(x10872,x10875,x10874),x10876,x10874))+E(x10871,f5(f14(f9(x10872,x10873,x10874),x10875,x10874),x10876,x10874)) % 0.87/0.91 [1088]~P67(x10883)+~E(f5(f14(x10881,x10884,x10883),x10885,x10883),f5(f14(x10882,x10884,x10883),x10886,x10883))+E(f5(f14(f9(x10881,x10882,x10883),x10884,x10883),x10885,x10883),x10886) % 0.87/0.91 [1103]~P65(x11034)+~P5(f5(f14(x11033,x11035,x11034),x11031,x11034),f5(f14(x11032,x11035,x11034),x11036,x11034),x11034)+P5(x11031,f5(f14(f9(x11032,x11033,x11034),x11035,x11034),x11036,x11034),x11034) % 0.87/0.91 [1104]~P65(x11044)+~P7(f5(f14(x11043,x11045,x11044),x11041,x11044),f5(f14(x11042,x11045,x11044),x11046,x11044),x11044)+P7(x11041,f5(f14(f9(x11042,x11043,x11044),x11045,x11044),x11046,x11044),x11044) % 0.87/0.91 [1105]~P65(x11053)+~P5(f5(f14(x11051,x11054,x11053),x11055,x11053),f5(f14(x11052,x11054,x11053),x11056,x11053),x11053)+P5(f5(f14(f9(x11051,x11052,x11053),x11054,x11053),x11055,x11053),x11056,x11053) % 0.87/0.91 [1106]~P65(x11063)+~P7(f5(f14(x11061,x11064,x11063),x11065,x11063),f5(f14(x11062,x11064,x11063),x11066,x11063),x11063)+P7(f5(f14(f9(x11061,x11062,x11063),x11064,x11063),x11065,x11063),x11066,x11063) % 0.87/0.91 [1107]~P65(x11073)+P5(f5(f14(x11071,x11072,x11073),x11074,x11073),f5(f14(x11075,x11072,x11073),x11076,x11073),x11073)+~P5(x11074,f5(f14(f9(x11075,x11071,x11073),x11072,x11073),x11076,x11073),x11073) % 0.87/0.91 [1108]~P65(x11083)+P7(f5(f14(x11081,x11082,x11083),x11084,x11083),f5(f14(x11085,x11082,x11083),x11086,x11083),x11083)+~P7(x11084,f5(f14(f9(x11085,x11081,x11083),x11082,x11083),x11086,x11083),x11083) % 0.87/0.91 [1109]~P65(x11093)+P5(f5(f14(x11091,x11092,x11093),x11094,x11093),f5(f14(x11095,x11092,x11093),x11096,x11093),x11093)+~P5(f5(f14(f9(x11091,x11095,x11093),x11092,x11093),x11094,x11093),x11096,x11093) % 0.87/0.91 [1110]~P65(x11103)+P7(f5(f14(x11101,x11102,x11103),x11104,x11103),f5(f14(x11105,x11102,x11103),x11106,x11103),x11103)+~P7(f5(f14(f9(x11101,x11105,x11103),x11102,x11103),x11104,x11103),x11106,x11103) % 0.87/0.91 [392]~P32(x3922)+~P27(x3922)+P7(x3921,f12(x3922),x3922)+E(f8(x3921,x3922),x3921) % 0.87/0.91 [449]~P32(x4492)+~P27(x4492)+~P7(x4491,f12(x4492),x4492)+E(f8(x4491,x4492),f13(x4491,x4492)) % 0.87/0.91 [486]~P32(x4862)+~P14(x4862)+P7(x4861,f12(x4862),x4862)+E(f16(x4861,f13(x4861,x4862),x4862),x4861) % 0.87/0.91 [583]~P32(x5832)+~P14(x5832)+~P7(x5831,f12(x5832),x5832)+E(f16(x5831,f13(x5831,x5832),x5832),f13(x5831,x5832)) % 0.87/0.91 [438]P7(x4381,x4382,x4383)+~P12(x4383)+E(x4381,x4382)+P7(x4382,x4381,x4383) % 0.87/0.91 [442]P7(x4421,x4422,x4423)+~P32(x4423)+E(x4421,x4422)+P7(x4422,x4421,x4423) % 0.87/0.91 [477]~P32(x4773)+~P5(x4771,x4772,x4773)+E(x4771,x4772)+P7(x4771,x4772,x4773) % 0.87/0.91 [483]~P38(x4833)+~P5(x4831,x4832,x4833)+E(x4831,x4832)+P7(x4831,x4832,x4833) % 0.87/0.91 [542]~P5(x5422,x5421,x5423)+~P5(x5421,x5422,x5423)+E(x5421,x5422)+~P38(x5423) % 0.87/0.91 [578]P7(x5782,x5781,x5783)+~P44(x5783)+~P5(x5782,x5781,x5783)+P5(x5781,x5782,x5783) % 0.87/0.91 [410]~P52(x4102)+~P9(x4102)+~E(f5(x4103,x4101,x4102),x4103)+E(x4101,f12(x4102)) % 0.87/0.91 [412]~P52(x4123)+~P9(x4123)+E(x4121,x4122)+~E(f9(x4121,x4122,x4123),f12(x4123)) % 0.87/0.91 [413]~P70(x4132)+~E(f14(x4133,x4131,x4132),f12(x4132))+E(x4131,f12(x4132))+E(x4133,f12(x4132)) % 0.87/0.91 [415]~P58(x4152)+~E(f14(x4153,x4151,x4152),f12(x4152))+E(x4151,f12(x4152))+E(x4153,f12(x4152)) % 0.87/0.91 [575]~P52(x5753)+E(x5751,x5752)+~E(f14(x5751,x5751,x5753),f14(x5752,x5752,x5753))+E(x5751,f13(x5752,x5753)) % 0.87/0.91 [686]~P13(x6862)+~P5(x6861,x6863,x6862)+~P5(f13(x6861,x6862),x6863,x6862)+P5(f8(x6861,x6862),x6863,x6862) % 0.87/0.91 [687]~P12(x6872)+~P7(x6871,x6873,x6872)+~P7(f13(x6871,x6872),x6873,x6872)+P7(f8(x6871,x6872),x6873,x6872) % 0.87/0.91 [805]~P61(x8051)+~P5(x8053,f12(x8051),x8051)+~P5(x8052,f12(x8051),x8051)+P5(f12(x8051),f14(x8052,x8053,x8051),x8051) % 0.87/0.91 [807]~P65(x8071)+~P5(x8073,f12(x8071),x8071)+~P5(x8072,f12(x8071),x8071)+P5(f12(x8071),f14(x8072,x8073,x8071),x8071) % 0.87/0.91 [808]~P57(x8081)+~P5(x8082,f12(x8081),x8081)+~P7(x8083,f12(x8081),x8081)+P5(f12(x8081),f10(x8082,x8083,x8081),x8081) % 0.87/0.91 [809]~P61(x8091)+~P7(x8093,f12(x8091),x8091)+~P7(x8092,f12(x8091),x8091)+P7(f12(x8091),f14(x8092,x8093,x8091),x8091) % 0.87/0.91 [810]~P57(x8101)+~P7(x8103,f12(x8101),x8101)+~P7(x8102,f12(x8101),x8101)+P7(f12(x8101),f10(x8102,x8103,x8101),x8101) % 0.87/0.91 [811]~P61(x8111)+~P5(f12(x8111),x8113,x8111)+~P5(f12(x8111),x8112,x8111)+P5(f12(x8111),f14(x8112,x8113,x8111),x8111) % 0.87/0.91 [812]~P65(x8121)+~P5(f12(x8121),x8123,x8121)+~P5(f12(x8121),x8122,x8121)+P5(f12(x8121),f14(x8122,x8123,x8121),x8121) % 0.87/0.91 [813]~P66(x8131)+~P5(f12(x8131),x8133,x8131)+~P5(f12(x8131),x8132,x8131)+P5(f12(x8131),f14(x8132,x8133,x8131),x8131) % 0.87/0.91 [814]~P33(x8141)+~P5(f12(x8141),x8143,x8141)+~P5(f12(x8141),x8142,x8141)+P5(f12(x8141),f5(x8142,x8143,x8141),x8141) % 0.87/0.91 [815]~P57(x8151)+~P5(f12(x8151),x8152,x8151)+~P7(f12(x8151),x8153,x8151)+P5(f12(x8151),f10(x8152,x8153,x8151),x8151) % 0.87/0.91 [816]~P62(x8161)+~P7(f12(x8161),x8163,x8161)+~P7(f12(x8161),x8162,x8161)+P7(f12(x8161),f14(x8162,x8163,x8161),x8161) % 0.87/0.91 [817]~P33(x8171)+~P5(f12(x8171),x8173,x8171)+~P7(f12(x8171),x8172,x8171)+P7(f12(x8171),f5(x8172,x8173,x8171),x8171) % 0.87/0.91 [818]~P33(x8181)+~P5(f12(x8181),x8182,x8181)+~P7(f12(x8181),x8183,x8181)+P7(f12(x8181),f5(x8182,x8183,x8181),x8181) % 0.87/0.91 [819]~P33(x8191)+~P7(f12(x8191),x8193,x8191)+~P7(f12(x8191),x8192,x8191)+P7(f12(x8191),f5(x8192,x8193,x8191),x8191) % 0.87/0.91 [820]~P57(x8201)+~P7(f12(x8201),x8203,x8201)+~P7(f12(x8201),x8202,x8201)+P7(f12(x8201),f10(x8202,x8203,x8201),x8201) % 0.87/0.91 [821]~P33(x8213)+~P5(x8212,f12(x8213),x8213)+~P5(x8211,f12(x8213),x8213)+P5(f5(x8211,x8212,x8213),f12(x8213),x8213) % 0.87/0.91 [822]~P33(x8223)+~P5(x8222,f12(x8223),x8223)+~P7(x8221,f12(x8223),x8223)+P7(f5(x8221,x8222,x8223),f12(x8223),x8223) % 0.87/0.91 [823]~P33(x8233)+~P5(x8231,f12(x8233),x8233)+~P7(x8232,f12(x8233),x8233)+P7(f5(x8231,x8232,x8233),f12(x8233),x8233) % 0.87/0.91 [824]~P33(x8243)+~P7(x8242,f12(x8243),x8243)+~P7(x8241,f12(x8243),x8243)+P7(f5(x8241,x8242,x8243),f12(x8243),x8243) % 0.87/0.91 [825]~P61(x8253)+~P5(x8252,f12(x8253),x8253)+~P5(f12(x8253),x8251,x8253)+P5(f14(x8251,x8252,x8253),f12(x8253),x8253) % 0.87/0.91 [826]~P61(x8263)+~P5(x8261,f12(x8263),x8263)+~P5(f12(x8263),x8262,x8263)+P5(f14(x8261,x8262,x8263),f12(x8263),x8263) % 0.87/0.91 [828]~P66(x8283)+~P5(x8282,f12(x8283),x8283)+~P5(f12(x8283),x8281,x8283)+P5(f14(x8281,x8282,x8283),f12(x8283),x8283) % 0.87/0.91 [831]~P66(x8313)+~P5(x8311,f12(x8313),x8313)+~P5(f12(x8313),x8312,x8313)+P5(f14(x8311,x8312,x8313),f12(x8313),x8313) % 0.87/0.91 [832]~P57(x8323)+~P5(x8321,f12(x8323),x8323)+~P7(f12(x8323),x8322,x8323)+P5(f10(x8321,x8322,x8323),f12(x8323),x8323) % 0.87/0.91 [833]~P57(x8333)+~P7(x8332,f12(x8333),x8333)+~P5(f12(x8333),x8331,x8333)+P5(f10(x8331,x8332,x8333),f12(x8333),x8333) % 0.87/0.91 [834]~P62(x8343)+~P7(x8342,f12(x8343),x8343)+~P7(f12(x8343),x8341,x8343)+P7(f14(x8341,x8342,x8343),f12(x8343),x8343) % 0.87/0.91 [836]~P62(x8363)+~P7(x8361,f12(x8363),x8363)+~P7(f12(x8363),x8362,x8363)+P7(f14(x8361,x8362,x8363),f12(x8363),x8363) % 0.87/0.91 [837]~P57(x8373)+~P7(x8372,f12(x8373),x8373)+~P7(f12(x8373),x8371,x8373)+P7(f10(x8371,x8372,x8373),f12(x8373),x8373) % 0.87/0.91 [838]~P57(x8383)+~P7(x8381,f12(x8383),x8383)+~P7(f12(x8383),x8382,x8383)+P7(f10(x8381,x8382,x8383),f12(x8383),x8383) % 0.87/0.91 [852]~P61(x8522)+~P5(f14(x8523,x8521,x8522),f12(x8522),x8522)+P5(x8521,f12(x8522),x8522)+P5(x8523,f12(x8522),x8522) % 0.87/0.91 [853]~P61(x8532)+~P5(f12(x8532),f14(x8533,x8531,x8532),x8532)+P5(x8531,f12(x8532),x8532)+P5(f12(x8532),x8533,x8532) % 0.87/0.91 [854]~P61(x8542)+~P5(f12(x8542),f14(x8541,x8543,x8542),x8542)+P5(x8541,f12(x8542),x8542)+P5(f12(x8542),x8543,x8542) % 0.87/0.91 [855]~P61(x8552)+~P5(f12(x8552),f14(x8553,x8551,x8552),x8552)+P5(x8551,f12(x8552),x8552)+P5(f12(x8552),x8551,x8552) % 0.87/0.91 [856]~P61(x8562)+~P5(f12(x8562),f14(x8561,x8563,x8562),x8562)+P5(x8561,f12(x8562),x8562)+P5(f12(x8562),x8561,x8562) % 0.87/0.91 [857]~P61(x8572)+~P5(f14(x8573,x8571,x8572),f12(x8572),x8572)+P5(x8571,f12(x8572),x8572)+P5(f12(x8572),x8571,x8572) % 0.87/0.91 [858]~P61(x8582)+~P5(f14(x8581,x8583,x8582),f12(x8582),x8582)+P5(x8581,f12(x8582),x8582)+P5(f12(x8582),x8581,x8582) % 0.87/0.91 [859]~P61(x8591)+~P5(f14(x8592,x8593,x8591),f12(x8591),x8591)+P5(f12(x8591),x8592,x8591)+P5(f12(x8591),x8593,x8591) % 0.87/0.91 [887]~P62(x8871)+~P7(f12(x8871),f14(x8873,x8872,x8871),x8871)+P7(f12(x8871),x8872,x8871)+~P7(f12(x8871),x8873,x8871) % 0.87/0.91 [888]~P62(x8881)+~P7(f12(x8881),f14(x8882,x8883,x8881),x8881)+P7(f12(x8881),x8882,x8881)+~P7(f12(x8881),x8883,x8881) % 0.87/0.91 [545]~P53(x5452)+~P55(x5452)+E(x5451,f12(x5452))+E(f14(f10(x5453,x5451,x5452),x5451,x5452),x5453) % 0.87/0.91 [691]~P57(x6912)+~P53(x6912)+~P7(f12(x6912),x6913,x6912)+E(f10(f8(x6911,x6912),x6913,x6912),f8(f10(x6911,x6913,x6912),x6912)) % 0.87/0.91 [883]~P68(x8832)+~P5(x8833,f12(x8832),x8832)+~P5(x8831,f12(x8832),x8832)+E(f14(f8(x8831,x8832),f8(x8833,x8832),x8832),f8(f14(x8831,x8833,x8832),x8832)) % 0.87/0.91 [884]~P68(x8842)+~P5(x8843,f12(x8842),x8842)+~P5(f12(x8842),x8841,x8842)+E(f14(f8(x8841,x8842),f8(x8843,x8842),x8842),f8(f14(x8841,x8843,x8842),x8842)) % 0.87/0.91 [885]~P68(x8852)+~P5(x8851,f12(x8852),x8852)+~P5(f12(x8852),x8853,x8852)+E(f14(f8(x8851,x8852),f8(x8853,x8852),x8852),f8(f14(x8851,x8853,x8852),x8852)) % 0.87/0.91 [886]~P68(x8862)+~P5(f12(x8862),x8863,x8862)+~P5(f12(x8862),x8861,x8862)+E(f14(f8(x8861,x8862),f8(x8863,x8862),x8862),f8(f14(x8861,x8863,x8862),x8862)) % 0.87/0.91 [628]~P38(x6283)+~P5(x6281,x6284,x6283)+P5(x6281,x6282,x6283)+~P5(x6284,x6282,x6283) % 0.87/0.91 [629]~P44(x6293)+~P5(x6291,x6294,x6293)+P5(x6291,x6292,x6293)+~P5(x6294,x6292,x6293) % 0.87/0.91 [630]~P38(x6303)+~P7(x6301,x6304,x6303)+P7(x6301,x6302,x6303)+~P5(x6304,x6302,x6303) % 0.87/0.91 [631]~P38(x6313)+~P7(x6314,x6312,x6313)+P7(x6311,x6312,x6313)+~P5(x6311,x6314,x6313) % 0.87/0.91 [632]~P38(x6323)+~P7(x6321,x6324,x6323)+P7(x6321,x6322,x6323)+~P7(x6324,x6322,x6323) % 0.87/0.91 [633]~P44(x6333)+~P7(x6331,x6334,x6333)+P7(x6331,x6332,x6333)+~P5(x6334,x6332,x6333) % 0.87/0.91 [634]~P44(x6343)+~P7(x6344,x6342,x6343)+P7(x6341,x6342,x6343)+~P5(x6341,x6344,x6343) % 0.87/0.91 [635]~P44(x6353)+~P7(x6351,x6354,x6353)+P7(x6351,x6352,x6353)+~P7(x6354,x6352,x6353) % 0.87/0.91 [636]~P31(x6363)+~P6(x6361,x6364,x6363)+P6(x6361,x6362,x6363)+~P6(x6364,x6362,x6363) % 0.87/0.91 [554]~P39(x5544)+E(x5541,x5542)+~E(f22(x5541,x5543,x5544),f22(x5542,x5543,x5544))+E(x5543,f12(x5544)) % 0.87/0.91 [555]~P52(x5554)+~P9(x5554)+E(x5551,x5552)+~E(f5(x5553,x5551,x5554),f5(x5553,x5552,x5554)) % 0.87/0.91 [771]~P11(x7714)+~P5(x7711,x7713,x7714)+~P5(x7711,x7712,x7714)+P5(x7711,f15(x7712,x7713,x7714),x7714) % 0.87/0.91 [774]~P32(x7744)+~P5(x7741,x7743,x7744)+~P5(x7741,x7742,x7744)+P5(x7741,f17(x7742,x7743,x7744),x7744) % 0.87/0.91 [775]~P32(x7754)+~P7(x7751,x7753,x7754)+~P7(x7751,x7752,x7754)+P7(x7751,f17(x7752,x7753,x7754),x7754) % 0.87/0.91 [776]~P31(x7764)+~P6(x7761,x7763,x7764)+~P6(x7761,x7762,x7764)+P6(x7761,f5(x7762,x7763,x7764),x7764) % 0.87/0.91 [777]~P47(x7774)+~P6(x7771,x7773,x7774)+~P6(x7771,x7772,x7774)+P6(x7771,f9(x7772,x7773,x7774),x7774) % 0.87/0.91 [779]~P4(x7794)+~P6(x7791,x7793,x7794)+~P6(x7791,x7792,x7794)+P6(x7791,f7(x7792,x7793,x7794),x7794) % 0.87/0.91 [782]~P15(x7823)+~P5(x7822,x7824,x7823)+~P5(x7821,x7824,x7823)+P5(f16(x7821,x7822,x7823),x7824,x7823) % 0.87/0.91 [785]~P32(x7853)+~P5(x7852,x7854,x7853)+~P5(x7851,x7854,x7853)+P5(f18(x7851,x7852,x7853),x7854,x7853) % 0.87/0.91 [786]~P32(x7863)+~P7(x7862,x7864,x7863)+~P7(x7861,x7864,x7863)+P7(f18(x7861,x7862,x7863),x7864,x7863) % 0.87/0.91 [789]~P63(x7894)+~P7(x7891,x7893,x7894)+~P7(f12(x7894),x7892,x7894)+P7(x7891,f5(x7892,x7893,x7894),x7894) % 0.87/0.91 [839]~P32(x8393)+P5(x8391,x8392,x8393)+P5(x8391,x8394,x8393)+~P5(x8391,f18(x8392,x8394,x8393),x8393) % 0.87/0.91 [840]~P32(x8403)+P7(x8401,x8402,x8403)+P7(x8401,x8404,x8403)+~P7(x8401,f18(x8402,x8404,x8403),x8403) % 0.87/0.91 [841]~P32(x8413)+P5(x8411,x8412,x8413)+P5(x8414,x8412,x8413)+~P5(f17(x8411,x8414,x8413),x8412,x8413) % 0.87/0.91 [842]~P32(x8423)+P7(x8421,x8422,x8423)+P7(x8424,x8422,x8423)+~P7(f17(x8421,x8424,x8423),x8422,x8423) % 0.87/0.91 [882]~P4(x8823)+P6(x8821,x8822,x8823)+~P6(x8821,x8824,x8823)+~P6(x8821,f7(x8822,x8824,x8823),x8823) % 0.87/0.91 [946]~P65(x9463)+~P5(x9464,x9461,x9463)+~P5(x9462,f12(x9463),x9463)+P5(f14(x9461,x9462,x9463),f14(x9464,x9462,x9463),x9463) % 0.87/0.91 [947]~P61(x9473)+~P5(x9474,x9472,x9473)+~P7(x9471,f12(x9473),x9473)+P5(f14(x9471,x9472,x9473),f14(x9471,x9474,x9473),x9473) % 0.87/0.91 [948]~P65(x9483)+~P5(x9484,x9482,x9483)+~P5(x9481,f12(x9483),x9483)+P5(f14(x9481,x9482,x9483),f14(x9481,x9484,x9483),x9483) % 0.87/0.91 [950]~P61(x9503)+~P7(x9504,x9501,x9503)+~P7(x9502,f12(x9503),x9503)+P7(f14(x9501,x9502,x9503),f14(x9504,x9502,x9503),x9503) % 0.87/0.91 [953]~P61(x9533)+~P7(x9534,x9532,x9533)+~P7(x9531,f12(x9533),x9533)+P7(f14(x9531,x9532,x9533),f14(x9531,x9534,x9533),x9533) % 0.87/0.91 [954]~P57(x9543)+~P7(x9544,x9541,x9543)+~P7(x9542,f12(x9543),x9543)+P7(f10(x9541,x9542,x9543),f10(x9544,x9542,x9543),x9543) % 0.87/0.91 [955]~P51(x9553)+~P5(x9551,x9554,x9553)+~P5(f12(x9553),x9552,x9553)+P5(f14(x9551,x9552,x9553),f14(x9554,x9552,x9553),x9553) % 0.87/0.91 [956]~P61(x9563)+~P5(x9562,x9564,x9563)+~P7(f12(x9563),x9561,x9563)+P5(f14(x9561,x9562,x9563),f14(x9561,x9564,x9563),x9563) % 0.87/0.91 [957]~P50(x9573)+~P5(x9572,x9574,x9573)+~P5(f12(x9573),x9571,x9573)+P5(f14(x9571,x9572,x9573),f14(x9571,x9574,x9573),x9573) % 0.87/0.91 [958]~P51(x9583)+~P5(x9582,x9584,x9583)+~P5(f12(x9583),x9581,x9583)+P5(f14(x9581,x9582,x9583),f14(x9581,x9584,x9583),x9583) % 0.87/0.91 [959]~P61(x9593)+~P7(x9591,x9594,x9593)+~P7(f12(x9593),x9592,x9593)+P7(f14(x9591,x9592,x9593),f14(x9594,x9592,x9593),x9593) % 0.87/0.91 [960]~P62(x9603)+~P7(x9601,x9604,x9603)+~P7(f12(x9603),x9602,x9603)+P7(f14(x9601,x9602,x9603),f14(x9604,x9602,x9603),x9603) % 0.87/0.91 [962]~P61(x9623)+~P7(x9622,x9624,x9623)+~P7(f12(x9623),x9621,x9623)+P7(f14(x9621,x9622,x9623),f14(x9621,x9624,x9623),x9623) % 0.87/0.91 [963]~P62(x9633)+~P7(x9632,x9634,x9633)+~P7(f12(x9633),x9631,x9633)+P7(f14(x9631,x9632,x9633),f14(x9631,x9634,x9633),x9633) % 0.87/0.91 [964]~P60(x9643)+~P7(x9642,x9644,x9643)+~P7(f12(x9643),x9641,x9643)+P7(f14(x9641,x9642,x9643),f14(x9641,x9644,x9643),x9643) % 0.87/0.91 [965]~P57(x9653)+~P7(x9651,x9654,x9653)+~P7(f12(x9653),x9652,x9653)+P7(f10(x9651,x9652,x9653),f10(x9654,x9652,x9653),x9653) % 0.87/0.91 [973]~P52(x9732)+P6(x9733,x9734,x9732)+~P6(f14(x9731,x9733,x9732),f14(x9731,x9734,x9732),x9732)+E(x9731,f12(x9732)) % 0.87/0.91 [974]~P52(x9742)+P6(x9743,x9744,x9742)+~P6(f14(x9743,x9741,x9742),f14(x9744,x9741,x9742),x9742)+E(x9741,f12(x9742)) % 0.87/0.91 [980]~P57(x9804)+~P7(f12(x9804),x9803,x9804)+~P5(f14(x9801,x9803,x9804),x9802,x9804)+P5(x9801,f10(x9802,x9803,x9804),x9804) % 0.87/0.91 [981]~P57(x9814)+~P7(f12(x9814),x9813,x9814)+~P7(f14(x9811,x9813,x9814),x9812,x9814)+P7(x9811,f10(x9812,x9813,x9814),x9814) % 0.87/0.91 [982]~P57(x9823)+~P7(f12(x9823),x9822,x9823)+~P5(x9821,f14(x9824,x9822,x9823),x9823)+P5(f10(x9821,x9822,x9823),x9824,x9823) % 0.87/0.91 [983]~P57(x9833)+~P7(f12(x9833),x9832,x9833)+~P7(x9831,f14(x9834,x9832,x9833),x9833)+P7(f10(x9831,x9832,x9833),x9834,x9833) % 0.87/0.91 [993]P7(x9932,x9931,x9933)+~P61(x9933)+P7(x9931,x9932,x9933)+~P7(f14(x9934,x9931,x9933),f14(x9934,x9932,x9933),x9933) % 0.87/0.91 [994]P7(x9942,x9941,x9943)+~P61(x9943)+P7(x9941,x9942,x9943)+~P7(f14(x9941,x9944,x9943),f14(x9942,x9944,x9943),x9943) % 0.87/0.91 [1008]~P61(x10083)+P7(x10081,x10082,x10083)+~P7(f14(x10081,x10084,x10083),f14(x10082,x10084,x10083),x10083)+P7(x10084,f12(x10083),x10083) % 0.87/0.91 [1009]~P61(x10093)+P7(x10091,x10092,x10093)+~P7(f14(x10094,x10091,x10093),f14(x10094,x10092,x10093),x10093)+P7(x10094,f12(x10093),x10093) % 0.87/0.91 [1010]~P61(x10103)+P7(x10101,x10102,x10103)+~P7(f14(x10104,x10102,x10103),f14(x10104,x10101,x10103),x10103)+P7(f12(x10103),x10104,x10103) % 0.87/0.91 [1011]~P61(x10113)+P7(x10111,x10112,x10113)+~P7(f14(x10112,x10114,x10113),f14(x10111,x10114,x10113),x10113)+P7(f12(x10113),x10114,x10113) % 0.87/0.91 [1015]~P61(x10152)+~P7(f14(x10153,x10151,x10152),f14(x10154,x10151,x10152),x10152)+P7(x10151,f12(x10152),x10152)+P7(f12(x10152),x10151,x10152) % 0.87/0.91 [1016]~P61(x10162)+~P7(f14(x10161,x10163,x10162),f14(x10161,x10164,x10162),x10162)+P7(x10161,f12(x10162),x10162)+P7(f12(x10162),x10161,x10162) % 0.87/0.91 [1020]~P61(x10203)+P5(x10201,x10202,x10203)+~P5(f14(x10204,x10202,x10203),f14(x10204,x10201,x10203),x10203)+~P7(x10204,f12(x10203),x10203) % 0.87/0.91 [1021]~P61(x10213)+P7(x10211,x10212,x10213)+~P7(f14(x10214,x10212,x10213),f14(x10214,x10211,x10213),x10213)+~P7(x10214,f12(x10213),x10213) % 0.87/0.91 [1022]~P61(x10223)+P5(x10221,x10222,x10223)+~P5(f14(x10224,x10221,x10223),f14(x10224,x10222,x10223),x10223)+~P7(f12(x10223),x10224,x10223) % 0.87/0.91 [1023]~P62(x10233)+P5(x10231,x10232,x10233)+~P5(f14(x10234,x10231,x10233),f14(x10234,x10232,x10233),x10233)+~P7(f12(x10233),x10234,x10233) % 0.87/0.91 [1024]~P62(x10243)+P5(x10241,x10242,x10243)+~P5(f14(x10241,x10244,x10243),f14(x10242,x10244,x10243),x10243)+~P7(f12(x10243),x10244,x10243) % 0.87/0.91 [1025]~P61(x10253)+P7(x10251,x10252,x10253)+~P7(f14(x10254,x10251,x10253),f14(x10254,x10252,x10253),x10253)+~P7(f12(x10253),x10254,x10253) % 0.87/0.91 [1026]~P62(x10263)+P7(x10261,x10262,x10263)+~P7(f14(x10264,x10261,x10263),f14(x10264,x10262,x10263),x10263)+~P5(f12(x10263),x10264,x10263) % 0.87/0.91 [1027]~P62(x10273)+P7(x10271,x10272,x10273)+~P7(f14(x10271,x10274,x10273),f14(x10272,x10274,x10273),x10273)+~P5(f12(x10273),x10274,x10273) % 0.87/0.91 [1028]~P64(x10283)+P7(x10281,x10282,x10283)+~P7(f14(x10284,x10281,x10283),f14(x10284,x10282,x10283),x10283)+~P5(f12(x10283),x10284,x10283) % 0.87/0.91 [1029]~P64(x10293)+P7(x10291,x10292,x10293)+~P7(f14(x10291,x10294,x10293),f14(x10292,x10294,x10293),x10293)+~P5(f12(x10293),x10294,x10293) % 0.87/0.91 [787]~P53(x7872)+~P55(x7872)+E(x7871,f12(x7872))+E(f10(f14(x7873,x7871,x7872),f14(x7874,x7871,x7872),x7872),f10(x7873,x7874,x7872)) % 0.87/0.91 [788]~P53(x7882)+~P55(x7882)+E(x7881,f12(x7882))+E(f10(f14(x7881,x7883,x7882),f14(x7881,x7884,x7882),x7882),f10(x7883,x7884,x7882)) % 0.87/0.91 [1083]~P12(x10833)+~P7(x10831,f5(x10832,x10834,x10833),x10833)+~P7(f9(x10832,x10834,x10833),x10831,x10833)+P7(f8(f9(x10831,x10832,x10833),x10833),x10834,x10833) % 0.87/0.91 [1017]~P53(x10172)+~P55(x10172)+E(x10171,f12(x10172))+E(f10(f5(x10173,f14(x10174,x10171,x10172),x10172),x10171,x10172),f5(x10174,f10(x10173,x10171,x10172),x10172)) % 0.87/0.91 [1018]~P53(x10182)+~P55(x10182)+E(x10181,f12(x10182))+E(f10(f5(x10183,f14(x10184,x10181,x10182),x10182),x10181,x10182),f5(f10(x10183,x10181,x10182),x10184,x10182)) % 0.87/0.92 [714]~P25(x7143)+~P5(x7145,x7144,x7143)+P5(x7141,x7142,x7143)+~E(f9(x7144,x7145,x7143),f9(x7142,x7141,x7143)) % 0.87/0.92 [715]~P25(x7153)+~P5(x7155,x7154,x7153)+P5(x7151,x7152,x7153)+~E(f9(x7152,x7151,x7153),f9(x7154,x7155,x7153)) % 0.87/0.92 [716]~P25(x7163)+~P7(x7164,x7165,x7163)+P7(x7161,x7162,x7163)+~E(f9(x7164,x7165,x7163),f9(x7161,x7162,x7163)) % 0.87/0.92 [717]~P25(x7173)+~P7(x7174,x7175,x7173)+P7(x7171,x7172,x7173)+~E(f9(x7171,x7172,x7173),f9(x7174,x7175,x7173)) % 0.87/0.92 [936]~P35(x9363)+~P5(x9362,x9365,x9363)+~P5(x9361,x9364,x9363)+P5(f5(x9361,x9362,x9363),f5(x9364,x9365,x9363),x9363) % 0.87/0.92 [937]~P36(x9373)+~P5(x9372,x9375,x9373)+~P7(x9371,x9374,x9373)+P7(f5(x9371,x9372,x9373),f5(x9374,x9375,x9373),x9373) % 0.87/0.92 [938]~P36(x9383)+~P5(x9381,x9384,x9383)+~P7(x9382,x9385,x9383)+P7(f5(x9381,x9382,x9383),f5(x9384,x9385,x9383),x9383) % 0.87/0.92 [939]~P36(x9393)+~P7(x9392,x9395,x9393)+~P7(x9391,x9394,x9393)+P7(f5(x9391,x9392,x9393),f5(x9394,x9395,x9393),x9393) % 0.87/0.92 [940]~P31(x9403)+~P6(x9402,x9405,x9403)+~P6(x9401,x9404,x9403)+P6(f14(x9401,x9402,x9403),f14(x9404,x9405,x9403),x9403) % 0.87/0.92 [975]~P25(x9754)+~P5(x9755,x9753,x9754)+~P5(x9751,f5(x9752,x9755,x9754),x9754)+P5(x9751,f5(x9752,x9753,x9754),x9754) % 0.87/0.92 [1051]~P12(x10512)+~P7(f8(x10511,x10512),x10514,x10512)+~P7(f8(x10513,x10512),x10515,x10512)+P7(f14(f8(x10511,x10512),f8(x10513,x10512),x10512),f14(x10514,x10515,x10512),x10512) % 0.87/0.92 [1096]~P55(x10962)+E(x10961,f12(x10962))+E(x10963,f12(x10962))+E(f10(f5(f14(x10964,x10961,x10962),f14(x10965,x10963,x10962),x10962),f14(x10963,x10961,x10962),x10962),f5(f10(x10964,x10963,x10962),f10(x10965,x10961,x10962),x10962)) % 0.87/0.92 [1097]~P55(x10972)+E(x10971,f12(x10972))+E(x10973,f12(x10972))+E(f10(f9(f14(x10974,x10971,x10972),f14(x10975,x10973,x10972),x10972),f14(x10973,x10971,x10972),x10972),f9(f10(x10974,x10973,x10972),f10(x10975,x10971,x10972),x10972)) % 0.87/0.92 [1063]~P4(x10633)+~E(f7(x10631,x10634,x10633),f7(x10635,x10634,x10633))+~E(f7(x10632,x10634,x10633),f7(x10636,x10634,x10633))+E(f7(f14(x10631,x10632,x10633),x10634,x10633),f7(f14(x10635,x10636,x10633),x10634,x10633)) % 0.87/0.92 [1064]~P4(x10643)+~E(f7(x10641,x10644,x10643),f7(x10645,x10644,x10643))+~E(f7(x10642,x10644,x10643),f7(x10646,x10644,x10643))+E(f7(f5(x10641,x10642,x10643),x10644,x10643),f7(f5(x10645,x10646,x10643),x10644,x10643)) % 0.87/0.92 [1065]~P8(x10653)+~E(f7(x10651,x10654,x10653),f7(x10655,x10654,x10653))+~E(f7(x10652,x10654,x10653),f7(x10656,x10654,x10653))+E(f7(f9(x10651,x10652,x10653),x10654,x10653),f7(f9(x10655,x10656,x10653),x10654,x10653)) % 0.87/0.92 [679]~P33(x6792)+~P5(f12(x6792),x6791,x6792)+~P5(f12(x6792),x6793,x6792)+~E(f5(x6793,x6791,x6792),f12(x6792))+E(x6791,f12(x6792)) % 0.87/0.92 [680]~P33(x6802)+~P5(f12(x6802),x6803,x6802)+~P5(f12(x6802),x6801,x6802)+~E(f5(x6801,x6803,x6802),f12(x6802))+E(x6801,f12(x6802)) % 0.87/0.92 [843]~P57(x8431)+~P53(x8431)+~P5(x8433,f12(x8431),x8431)+~P5(x8432,f12(x8431),x8431)+P5(f12(x8431),f10(x8432,x8433,x8431),x8431) % 0.87/0.92 [845]~P57(x8451)+~P53(x8451)+~P5(f12(x8451),x8453,x8451)+~P5(f12(x8451),x8452,x8451)+P5(f12(x8451),f10(x8452,x8453,x8451),x8451) % 0.87/0.92 [847]~P57(x8473)+~P53(x8473)+~P5(x8472,f12(x8473),x8473)+~P5(f12(x8473),x8471,x8473)+P5(f10(x8471,x8472,x8473),f12(x8473),x8473) % 0.87/0.92 [848]~P57(x8483)+~P53(x8483)+~P5(x8481,f12(x8483),x8483)+~P5(f12(x8483),x8482,x8483)+P5(f10(x8481,x8482,x8483),f12(x8483),x8483) % 0.87/0.92 [864]~P57(x8642)+~P53(x8642)+~P5(f10(x8643,x8641,x8642),f12(x8642),x8642)+P5(x8641,f12(x8642),x8642)+P5(x8643,f12(x8642),x8642) % 0.87/0.92 [865]~P57(x8652)+~P53(x8652)+~P7(f10(x8653,x8651,x8652),f12(x8652),x8652)+P7(x8651,f12(x8652),x8652)+P7(x8653,f12(x8652),x8652) % 0.87/0.92 [866]~P57(x8662)+~P53(x8662)+~P5(f12(x8662),f10(x8663,x8661,x8662),x8662)+P5(x8661,f12(x8662),x8662)+P5(f12(x8662),x8663,x8662) % 0.87/0.92 [867]~P57(x8672)+~P53(x8672)+~P5(f12(x8672),f10(x8671,x8673,x8672),x8672)+P5(x8671,f12(x8672),x8672)+P5(f12(x8672),x8673,x8672) % 0.87/0.92 [868]~P57(x8682)+~P53(x8682)+~P5(f12(x8682),f10(x8683,x8681,x8682),x8682)+P5(x8681,f12(x8682),x8682)+P5(f12(x8682),x8681,x8682) % 0.87/0.92 [869]~P57(x8692)+~P53(x8692)+~P5(f12(x8692),f10(x8691,x8693,x8692),x8692)+P5(x8691,f12(x8692),x8692)+P5(f12(x8692),x8691,x8692) % 0.87/0.92 [870]~P57(x8702)+~P53(x8702)+~P7(f12(x8702),f10(x8703,x8701,x8702),x8702)+P7(x8701,f12(x8702),x8702)+P7(f12(x8702),x8703,x8702) % 0.87/0.92 [871]~P57(x8712)+~P53(x8712)+~P7(f12(x8712),f10(x8711,x8713,x8712),x8712)+P7(x8711,f12(x8712),x8712)+P7(f12(x8712),x8713,x8712) % 0.87/0.92 [872]~P57(x8722)+~P53(x8722)+~P7(f12(x8722),f10(x8723,x8721,x8722),x8722)+P7(x8721,f12(x8722),x8722)+P7(f12(x8722),x8721,x8722) % 0.87/0.92 [873]~P57(x8732)+~P53(x8732)+~P7(f12(x8732),f10(x8731,x8733,x8732),x8732)+P7(x8731,f12(x8732),x8732)+P7(f12(x8732),x8731,x8732) % 0.87/0.92 [874]~P57(x8742)+~P53(x8742)+~P5(f10(x8743,x8741,x8742),f12(x8742),x8742)+P5(x8741,f12(x8742),x8742)+P5(f12(x8742),x8741,x8742) % 0.87/0.92 [875]~P57(x8752)+~P53(x8752)+~P5(f10(x8751,x8753,x8752),f12(x8752),x8752)+P5(x8751,f12(x8752),x8752)+P5(f12(x8752),x8751,x8752) % 0.87/0.92 [876]~P57(x8762)+~P53(x8762)+~P7(f10(x8763,x8761,x8762),f12(x8762),x8762)+P7(x8761,f12(x8762),x8762)+P7(f12(x8762),x8761,x8762) % 0.87/0.92 [877]~P57(x8772)+~P53(x8772)+~P7(f10(x8771,x8773,x8772),f12(x8772),x8772)+P7(x8771,f12(x8772),x8772)+P7(f12(x8772),x8771,x8772) % 0.87/0.92 [878]~P57(x8781)+~P53(x8781)+~P5(f10(x8782,x8783,x8781),f12(x8781),x8781)+P5(f12(x8781),x8782,x8781)+P5(f12(x8781),x8783,x8781) % 0.87/0.92 [879]~P57(x8791)+~P53(x8791)+~P7(f10(x8792,x8793,x8791),f12(x8791),x8791)+P7(f12(x8791),x8792,x8791)+P7(f12(x8791),x8793,x8791) % 0.87/0.92 [791]~P34(x7914)+~P21(x7914)+~P5(x7911,x7913,x7914)+~P5(f12(x7914),x7912,x7914)+P5(x7911,f5(x7912,x7913,x7914),x7914) % 0.87/0.92 [792]~P34(x7924)+~P21(x7924)+~P5(x7921,x7922,x7924)+~P5(f12(x7924),x7923,x7924)+P5(x7921,f5(x7922,x7923,x7924),x7924) % 0.87/0.92 [793]~P34(x7934)+~P21(x7934)+~P5(x7931,x7933,x7934)+~P7(f12(x7934),x7932,x7934)+P7(x7931,f5(x7932,x7933,x7934),x7934) % 0.87/0.92 [794]~P34(x7944)+~P21(x7944)+~P7(x7941,x7943,x7944)+~P5(f12(x7944),x7942,x7944)+P7(x7941,f5(x7942,x7943,x7944),x7944) % 0.87/0.92 [966]~P57(x9663)+~P53(x9663)+~P5(x9664,x9661,x9663)+~P5(x9662,f12(x9663),x9663)+P5(f10(x9661,x9662,x9663),f10(x9664,x9662,x9663),x9663) % 0.87/0.92 [967]~P57(x9673)+~P53(x9673)+~P5(x9671,x9674,x9673)+~P5(f12(x9673),x9672,x9673)+P5(f10(x9671,x9672,x9673),f10(x9674,x9672,x9673),x9673) % 0.87/0.92 [984]~P57(x9844)+~P53(x9844)+~P7(f12(x9844),x9843,x9844)+~P5(f10(x9841,x9843,x9844),x9842,x9844)+P5(x9841,f14(x9842,x9843,x9844),x9844) % 0.87/0.92 [986]~P57(x9864)+~P53(x9864)+~P7(f12(x9864),x9863,x9864)+~P7(f10(x9861,x9863,x9864),x9862,x9864)+P7(x9861,f14(x9862,x9863,x9864),x9864) % 0.87/0.92 [988]~P57(x9883)+~P53(x9883)+~P7(f12(x9883),x9882,x9883)+~P5(x9881,f10(x9884,x9882,x9883),x9883)+P5(f14(x9881,x9882,x9883),x9884,x9883) % 0.87/0.92 [990]~P57(x9903)+~P53(x9903)+~P7(f12(x9903),x9902,x9903)+~P7(x9901,f10(x9904,x9902,x9903),x9903)+P7(f14(x9901,x9902,x9903),x9904,x9903) % 0.87/0.92 [1067]~P57(x10673)+~P7(x10672,x10674,x10673)+~P7(x10671,f12(x10673),x10673)+~P7(f12(x10673),f14(x10672,x10674,x10673),x10673)+P7(f10(x10671,x10672,x10673),f10(x10671,x10674,x10673),x10673) % 0.87/0.92 [1068]~P57(x10683)+~P5(x10684,x10682,x10683)+~P5(f12(x10683),x10681,x10683)+~P7(f12(x10683),f14(x10682,x10684,x10683),x10683)+P5(f10(x10681,x10682,x10683),f10(x10681,x10684,x10683),x10683) % 0.87/0.92 [1069]~P57(x10693)+~P7(x10694,x10692,x10693)+~P7(f12(x10693),x10691,x10693)+~P7(f12(x10693),f14(x10692,x10694,x10693),x10693)+P7(f10(x10691,x10692,x10693),f10(x10691,x10694,x10693),x10693) % 0.87/0.92 [681]~P55(x6812)+~E(f10(x6814,x6813,x6812),f10(x6815,x6811,x6812))+E(f14(x6814,x6811,x6812),f14(x6815,x6813,x6812))+E(x6811,f12(x6812))+E(x6813,f12(x6812)) % 0.87/0.92 [682]~P55(x6822)+~E(f14(x6824,x6823,x6822),f14(x6825,x6821,x6822))+E(f10(x6824,x6821,x6822),f10(x6825,x6823,x6822))+E(x6821,f12(x6822))+E(x6823,f12(x6822)) % 0.87/0.92 [992]~P52(x9924)+~P9(x9924)+E(x9921,x9922)+E(x9923,f12(x9924))+~E(f5(x9925,f14(x9923,x9921,x9924),x9924),f5(x9925,f14(x9923,x9922,x9924),x9924)) % 0.87/0.92 [1085]~P52(x10855)+~P9(x10855)+E(x10851,x10852)+E(x10853,x10854)+~E(f5(f14(x10853,x10851,x10855),f14(x10854,x10852,x10855),x10855),f5(f14(x10853,x10852,x10855),f14(x10854,x10851,x10855),x10855)) % 0.87/0.92 [1101]~P54(x11015)+~P37(x11015)+~P6(x11011,x11014,x11015)+~P6(x11011,f5(x11012,x11016,x11015),x11015)+P6(x11011,f5(f9(x11012,f14(x11013,x11014,x11015),x11015),x11016,x11015),x11015) % 0.87/0.92 [1102]~P54(x11024)+~P37(x11024)+~P6(x11021,x11025,x11024)+P6(x11021,f5(x11022,x11023,x11024),x11024)+~P6(x11021,f5(f9(x11022,f14(x11026,x11025,x11024),x11024),x11023,x11024),x11024) % 0.87/0.92 [860]~P57(x8602)+~P53(x8602)+P7(x8601,f12(x8602),x8602)+P7(f12(x8602),x8601,x8602)+~P5(x8603,f12(x8602),x8602)+P5(x8603,f10(x8604,x8601,x8602),x8602) % 0.87/0.92 [861]~P57(x8612)+~P53(x8612)+P7(x8611,f12(x8612),x8612)+P7(f12(x8612),x8611,x8612)+~P7(x8613,f12(x8612),x8612)+P7(x8613,f10(x8614,x8611,x8612),x8612) % 0.87/0.92 [862]~P57(x8622)+~P53(x8622)+P7(x8621,f12(x8622),x8622)+P7(f12(x8622),x8621,x8622)+~P5(f12(x8622),x8624,x8622)+P5(f10(x8623,x8621,x8622),x8624,x8622) % 0.87/0.92 [863]~P57(x8632)+~P53(x8632)+P7(x8631,f12(x8632),x8632)+P7(f12(x8632),x8631,x8632)+~P7(f12(x8632),x8634,x8632)+P7(f10(x8633,x8631,x8632),x8634,x8632) % 0.87/0.92 [942]~P57(x9422)+~P53(x9422)+P5(x9421,f12(x9422),x9422)+P7(f12(x9422),x9423,x9422)+~P5(x9421,f10(x9424,x9423,x9422),x9422)+P7(x9423,f12(x9422),x9422) % 0.87/0.92 [943]~P57(x9432)+~P53(x9432)+P7(x9431,f12(x9432),x9432)+P7(f12(x9432),x9431,x9432)+~P7(x9433,f10(x9434,x9431,x9432),x9432)+P7(x9433,f12(x9432),x9432) % 0.87/0.92 [944]~P57(x9442)+~P53(x9442)+P7(x9441,f12(x9442),x9442)+P7(f12(x9442),x9441,x9442)+~P5(f10(x9444,x9441,x9442),x9443,x9442)+P5(f12(x9442),x9443,x9442) % 0.87/0.92 [945]~P57(x9452)+~P53(x9452)+P7(x9451,f12(x9452),x9452)+P7(f12(x9452),x9451,x9452)+~P7(f10(x9454,x9451,x9452),x9453,x9452)+P7(f12(x9452),x9453,x9452) % 0.87/0.92 [1030]~P57(x10302)+~P53(x10302)+~P5(f14(x10303,x10301,x10302),x10304,x10302)+P7(x10301,f12(x10302),x10302)+~P5(x10303,f12(x10302),x10302)+P5(x10303,f10(x10304,x10301,x10302),x10302) % 0.87/0.92 [1031]~P57(x10312)+~P53(x10312)+~P7(f14(x10313,x10311,x10312),x10314,x10312)+P7(x10311,f12(x10312),x10312)+~P7(x10313,f12(x10312),x10312)+P7(x10313,f10(x10314,x10311,x10312),x10312) % 0.87/0.92 [1032]~P57(x10322)+~P53(x10322)+~P5(x10323,f14(x10324,x10321,x10322),x10322)+P7(x10321,f12(x10322),x10322)+~P5(f12(x10322),x10324,x10322)+P5(f10(x10323,x10321,x10322),x10324,x10322) % 0.87/0.92 [1033]~P57(x10332)+~P53(x10332)+~P7(x10333,f14(x10334,x10331,x10332),x10332)+P7(x10331,f12(x10332),x10332)+~P7(f12(x10332),x10334,x10332)+P7(f10(x10333,x10331,x10332),x10334,x10332) % 0.87/0.92 [1034]~P57(x10341)+~P53(x10341)+~P5(x10344,f10(x10343,x10342,x10341),x10341)+~P7(x10342,f12(x10341),x10341)+P7(f12(x10341),x10342,x10341)+P5(x10343,f14(x10344,x10342,x10341),x10341) % 0.87/0.92 [1035]~P57(x10351)+~P53(x10351)+~P5(x10354,f14(x10353,x10352,x10351),x10351)+~P5(x10353,f12(x10351),x10351)+P7(f12(x10351),x10352,x10351)+P5(x10353,f10(x10354,x10352,x10351),x10351) % 0.87/0.92 [1036]~P57(x10361)+~P53(x10361)+~P5(x10364,f14(x10363,x10362,x10361),x10361)+~P7(x10362,f12(x10361),x10361)+P7(f12(x10361),x10362,x10361)+P5(x10363,f10(x10364,x10362,x10361),x10361) % 0.87/0.92 [1037]~P57(x10371)+~P53(x10371)+~P7(x10374,f10(x10373,x10372,x10371),x10371)+~P7(x10372,f12(x10371),x10371)+P7(f12(x10371),x10372,x10371)+P7(x10373,f14(x10374,x10372,x10371),x10371) % 0.87/0.92 [1038]~P57(x10381)+~P53(x10381)+~P7(x10384,f14(x10383,x10382,x10381),x10381)+~P7(x10382,f12(x10381),x10381)+P7(f12(x10381),x10382,x10381)+P7(x10383,f10(x10384,x10382,x10381),x10381) % 0.87/0.92 [1039]~P57(x10391)+~P53(x10391)+~P7(x10394,f14(x10393,x10392,x10391),x10391)+~P7(x10393,f12(x10391),x10391)+P7(f12(x10391),x10392,x10391)+P7(x10393,f10(x10394,x10392,x10391),x10391) % 0.87/0.92 [1040]~P57(x10401)+~P53(x10401)+~P5(f10(x10404,x10402,x10401),x10403,x10401)+~P7(x10402,f12(x10401),x10401)+P7(f12(x10401),x10402,x10401)+P5(f14(x10403,x10402,x10401),x10404,x10401) % 0.87/0.92 [1041]~P57(x10411)+~P53(x10411)+~P5(f14(x10414,x10412,x10411),x10413,x10411)+~P7(x10412,f12(x10411),x10411)+P7(f12(x10411),x10412,x10411)+P5(f10(x10413,x10412,x10411),x10414,x10411) % 0.87/0.92 [1042]~P57(x10421)+~P53(x10421)+~P7(f10(x10424,x10422,x10421),x10423,x10421)+~P7(x10422,f12(x10421),x10421)+P7(f12(x10421),x10422,x10421)+P7(f14(x10423,x10422,x10421),x10424,x10421) % 0.87/0.92 [1043]~P57(x10431)+~P53(x10431)+~P7(f14(x10434,x10432,x10431),x10433,x10431)+~P7(x10432,f12(x10431),x10431)+P7(f12(x10431),x10432,x10431)+P7(f10(x10433,x10432,x10431),x10434,x10431) % 0.87/0.92 [1044]~P57(x10441)+~P53(x10441)+~P5(f14(x10444,x10442,x10441),x10443,x10441)+~P5(f12(x10441),x10444,x10441)+P7(f12(x10441),x10442,x10441)+P5(f10(x10443,x10442,x10441),x10444,x10441) % 0.87/0.92 [1045]~P57(x10451)+~P53(x10451)+~P7(f14(x10454,x10452,x10451),x10453,x10451)+~P7(f12(x10451),x10454,x10451)+P7(f12(x10451),x10452,x10451)+P7(f10(x10453,x10452,x10451),x10454,x10451) % 0.87/0.92 [1070]~P57(x10703)+~P53(x10703)+~P5(x10702,x10704,x10703)+~P5(x10701,f12(x10703),x10703)+~P7(f12(x10703),f14(x10702,x10704,x10703),x10703)+P5(f10(x10701,x10702,x10703),f10(x10701,x10704,x10703),x10703) % 0.87/0.92 [1075]~P57(x10754)+~P53(x10754)+~P5(x10751,f12(x10754),x10754)+~P5(x10752,f14(x10751,x10753,x10754),x10754)+~P5(f14(x10751,x10753,x10754),x10752,x10754)+P5(x10751,f10(x10752,x10753,x10754),x10754) % 0.87/0.92 [1076]~P57(x10764)+~P53(x10764)+~P7(x10763,f12(x10764),x10764)+~P5(x10762,f14(x10761,x10763,x10764),x10764)+~P5(f14(x10761,x10763,x10764),x10762,x10764)+P5(x10761,f10(x10762,x10763,x10764),x10764) % 0.87/0.92 [1077]~P57(x10774)+~P53(x10774)+~P7(x10773,f12(x10774),x10774)+~P7(x10772,f14(x10771,x10773,x10774),x10774)+~P7(f14(x10771,x10773,x10774),x10772,x10774)+P7(x10771,f10(x10772,x10773,x10774),x10774) % 0.87/0.92 [1078]~P57(x10784)+~P53(x10784)+~P7(x10781,f12(x10784),x10784)+~P7(x10782,f14(x10781,x10783,x10784),x10784)+~P7(f14(x10781,x10783,x10784),x10782,x10784)+P7(x10781,f10(x10782,x10783,x10784),x10784) % 0.87/0.92 [1079]~P57(x10793)+~P53(x10793)+~P7(x10792,f12(x10793),x10793)+~P5(x10791,f14(x10794,x10792,x10793),x10793)+~P5(f14(x10794,x10792,x10793),x10791,x10793)+P5(f10(x10791,x10792,x10793),x10794,x10793) % 0.87/0.92 [1080]~P57(x10803)+~P53(x10803)+~P7(x10802,f12(x10803),x10803)+~P7(x10801,f14(x10804,x10802,x10803),x10803)+~P7(f14(x10804,x10802,x10803),x10801,x10803)+P7(f10(x10801,x10802,x10803),x10804,x10803) % 0.87/0.92 [1081]~P57(x10813)+~P53(x10813)+~P5(f12(x10813),x10814,x10813)+~P5(x10811,f14(x10814,x10812,x10813),x10813)+~P5(f14(x10814,x10812,x10813),x10811,x10813)+P5(f10(x10811,x10812,x10813),x10814,x10813) % 0.87/0.92 [1082]~P57(x10823)+~P53(x10823)+~P7(f12(x10823),x10824,x10823)+~P7(x10821,f14(x10824,x10822,x10823),x10823)+~P7(f14(x10824,x10822,x10823),x10821,x10823)+P7(f10(x10821,x10822,x10823),x10824,x10823) % 0.87/0.92 [1052]~P69(x10523)+~P5(x10522,x10525,x10523)+~P5(x10521,x10524,x10523)+~P5(f12(x10523),x10524,x10523)+~P5(f12(x10523),x10522,x10523)+P5(f14(x10521,x10522,x10523),f14(x10524,x10525,x10523),x10523) % 0.87/0.92 [1053]~P69(x10533)+~P5(x10532,x10535,x10533)+~P5(x10531,x10534,x10533)+~P5(f12(x10533),x10532,x10533)+~P5(f12(x10533),x10531,x10533)+P5(f14(x10531,x10532,x10533),f14(x10534,x10535,x10533),x10533) % 0.87/0.92 [1054]~P57(x10543)+~P5(x10545,x10542,x10543)+~P5(x10541,x10544,x10543)+~P5(f12(x10543),x10541,x10543)+~P7(f12(x10543),x10545,x10543)+P5(f10(x10541,x10542,x10543),f10(x10544,x10545,x10543),x10543) % 0.87/0.92 [1055]~P62(x10553)+~P5(x10552,x10555,x10553)+~P7(x10551,x10554,x10553)+~P5(f12(x10553),x10551,x10553)+~P7(f12(x10553),x10552,x10553)+P7(f14(x10551,x10552,x10553),f14(x10554,x10555,x10553),x10553) % 0.87/0.92 [1056]~P62(x10563)+~P5(x10561,x10564,x10563)+~P7(x10562,x10565,x10563)+~P5(f12(x10563),x10562,x10563)+~P7(f12(x10563),x10561,x10563)+P7(f14(x10561,x10562,x10563),f14(x10564,x10565,x10563),x10563) % 0.87/0.92 [1057]~P62(x10573)+~P7(x10572,x10575,x10573)+~P7(x10571,x10574,x10573)+~P5(f12(x10573),x10572,x10573)+~P5(f12(x10573),x10571,x10573)+P7(f14(x10571,x10572,x10573),f14(x10574,x10575,x10573),x10573) % 0.87/0.92 [1058]~P62(x10583)+~P7(x10582,x10585,x10583)+~P7(x10581,x10584,x10583)+~P5(f12(x10583),x10582,x10583)+~P7(f12(x10583),x10584,x10583)+P7(f14(x10581,x10582,x10583),f14(x10584,x10585,x10583),x10583) % 0.87/0.92 [1059]~P57(x10593)+~P5(x10595,x10592,x10593)+~P7(x10591,x10594,x10593)+~P5(f12(x10593),x10591,x10593)+~P7(f12(x10593),x10595,x10593)+P7(f10(x10591,x10592,x10593),f10(x10594,x10595,x10593),x10593) % 0.87/0.92 [1060]~P57(x10603)+~P5(x10601,x10604,x10603)+~P7(x10605,x10602,x10603)+~P7(f12(x10603),x10605,x10603)+~P7(f12(x10603),x10601,x10603)+P7(f10(x10601,x10602,x10603),f10(x10604,x10605,x10603),x10603) % 0.87/0.92 %EqnAxiom % 0.87/0.92 [1]E(x11,x11) % 0.87/0.92 [2]E(x22,x21)+~E(x21,x22) % 0.87/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.87/0.92 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.87/0.92 [5]~E(x51,x52)+E(f9(x51,x53,x54),f9(x52,x53,x54)) % 0.87/0.92 [6]~E(x61,x62)+E(f9(x63,x61,x64),f9(x63,x62,x64)) % 0.87/0.92 [7]~E(x71,x72)+E(f9(x73,x74,x71),f9(x73,x74,x72)) % 0.87/0.92 [8]~E(x81,x82)+E(f14(x81,x83,x84),f14(x82,x83,x84)) % 0.87/0.92 [9]~E(x91,x92)+E(f14(x93,x91,x94),f14(x93,x92,x94)) % 0.87/0.92 [10]~E(x101,x102)+E(f14(x103,x104,x101),f14(x103,x104,x102)) % 0.87/0.92 [11]~E(x111,x112)+E(f4(x111,x113),f4(x112,x113)) % 0.87/0.92 [12]~E(x121,x122)+E(f4(x123,x121),f4(x123,x122)) % 0.87/0.92 [13]~E(x131,x132)+E(f7(x131,x133,x134),f7(x132,x133,x134)) % 0.87/0.92 [14]~E(x141,x142)+E(f7(x143,x141,x144),f7(x143,x142,x144)) % 0.87/0.92 [15]~E(x151,x152)+E(f7(x153,x154,x151),f7(x153,x154,x152)) % 0.87/0.92 [16]~E(x161,x162)+E(f10(x161,x163,x164),f10(x162,x163,x164)) % 0.87/0.92 [17]~E(x171,x172)+E(f10(x173,x171,x174),f10(x173,x172,x174)) % 0.87/0.92 [18]~E(x181,x182)+E(f10(x183,x184,x181),f10(x183,x184,x182)) % 0.87/0.92 [19]~E(x191,x192)+E(f5(x191,x193,x194),f5(x192,x193,x194)) % 0.87/0.92 [20]~E(x201,x202)+E(f5(x203,x201,x204),f5(x203,x202,x204)) % 0.87/0.92 [21]~E(x211,x212)+E(f5(x213,x214,x211),f5(x213,x214,x212)) % 0.87/0.92 [22]~E(x221,x222)+E(f18(x221,x223,x224),f18(x222,x223,x224)) % 0.87/0.92 [23]~E(x231,x232)+E(f18(x233,x231,x234),f18(x233,x232,x234)) % 0.87/0.92 [24]~E(x241,x242)+E(f18(x243,x244,x241),f18(x243,x244,x242)) % 0.87/0.92 [25]~E(x251,x252)+E(f12(x251),f12(x252)) % 0.87/0.92 [26]~E(x261,x262)+E(f17(x261,x263,x264),f17(x262,x263,x264)) % 0.87/0.92 [27]~E(x271,x272)+E(f17(x273,x271,x274),f17(x273,x272,x274)) % 0.87/0.92 [28]~E(x281,x282)+E(f17(x283,x284,x281),f17(x283,x284,x282)) % 0.87/0.92 [29]~E(x291,x292)+E(f6(x291,x293,x294),f6(x292,x293,x294)) % 0.87/0.92 [30]~E(x301,x302)+E(f6(x303,x301,x304),f6(x303,x302,x304)) % 0.87/0.92 [31]~E(x311,x312)+E(f6(x313,x314,x311),f6(x313,x314,x312)) % 0.87/0.92 [32]~E(x321,x322)+E(f11(x321,x323,x324),f11(x322,x323,x324)) % 0.87/0.92 [33]~E(x331,x332)+E(f11(x333,x331,x334),f11(x333,x332,x334)) % 0.87/0.92 [34]~E(x341,x342)+E(f11(x343,x344,x341),f11(x343,x344,x342)) % 0.87/0.92 [35]~E(x351,x352)+E(f13(x351,x353),f13(x352,x353)) % 0.87/0.92 [36]~E(x361,x362)+E(f13(x363,x361),f13(x363,x362)) % 0.87/0.92 [37]~E(x371,x372)+E(f16(x371,x373,x374),f16(x372,x373,x374)) % 0.87/0.92 [38]~E(x381,x382)+E(f16(x383,x381,x384),f16(x383,x382,x384)) % 0.87/0.92 [39]~E(x391,x392)+E(f16(x393,x394,x391),f16(x393,x394,x392)) % 0.87/0.92 [40]~E(x401,x402)+E(f8(x401,x403),f8(x402,x403)) % 0.87/0.92 [41]~E(x411,x412)+E(f8(x413,x411),f8(x413,x412)) % 0.87/0.92 [42]~E(x421,x422)+E(f22(x421,x423,x424),f22(x422,x423,x424)) % 0.87/0.92 [43]~E(x431,x432)+E(f22(x433,x431,x434),f22(x433,x432,x434)) % 0.87/0.92 [44]~E(x441,x442)+E(f22(x443,x444,x441),f22(x443,x444,x442)) % 0.87/0.92 [45]~E(x451,x452)+E(f23(x451),f23(x452)) % 0.87/0.92 [46]~E(x461,x462)+E(f15(x461,x463,x464),f15(x462,x463,x464)) % 0.87/0.92 [47]~E(x471,x472)+E(f15(x473,x471,x474),f15(x473,x472,x474)) % 0.87/0.92 [48]~E(x481,x482)+E(f15(x483,x484,x481),f15(x483,x484,x482)) % 0.87/0.92 [49]~E(x491,x492)+E(f20(x491,x493,x494),f20(x492,x493,x494)) % 0.87/0.92 [50]~E(x501,x502)+E(f20(x503,x501,x504),f20(x503,x502,x504)) % 0.87/0.92 [51]~E(x511,x512)+E(f20(x513,x514,x511),f20(x513,x514,x512)) % 0.87/0.92 [52]~E(x521,x522)+E(f19(x521,x523,x524),f19(x522,x523,x524)) % 0.87/0.92 [53]~E(x531,x532)+E(f19(x533,x531,x534),f19(x533,x532,x534)) % 0.87/0.92 [54]~E(x541,x542)+E(f19(x543,x544,x541),f19(x543,x544,x542)) % 0.87/0.92 [55]~E(x551,x552)+E(f21(x551,x553),f21(x552,x553)) % 0.87/0.92 [56]~E(x561,x562)+E(f21(x563,x561),f21(x563,x562)) % 0.87/0.92 [57]~E(x571,x572)+E(f28(x571,x573),f28(x572,x573)) % 0.87/0.92 [58]~E(x581,x582)+E(f28(x583,x581),f28(x583,x582)) % 0.87/0.92 [59]~P1(x591)+P1(x592)+~E(x591,x592) % 0.87/0.92 [60]~P42(x601)+P42(x602)+~E(x601,x602) % 0.87/0.92 [61]~P11(x611)+P11(x612)+~E(x611,x612) % 0.87/0.92 [62]~P61(x621)+P61(x622)+~E(x621,x622) % 0.87/0.92 [63]~P12(x631)+P12(x632)+~E(x631,x632) % 0.87/0.92 [64]~P9(x641)+P9(x642)+~E(x641,x642) % 0.87/0.92 [65]~P62(x651)+P62(x652)+~E(x651,x652) % 0.87/0.92 [66]P7(x662,x663,x664)+~E(x661,x662)+~P7(x661,x663,x664) % 0.87/0.92 [67]P7(x673,x672,x674)+~E(x671,x672)+~P7(x673,x671,x674) % 0.87/0.92 [68]P7(x683,x684,x682)+~E(x681,x682)+~P7(x683,x684,x681) % 0.87/0.92 [69]~P13(x691)+P13(x692)+~E(x691,x692) % 0.87/0.92 [70]~P2(x701)+P2(x702)+~E(x701,x702) % 0.87/0.92 [71]~P68(x711)+P68(x712)+~E(x711,x712) % 0.87/0.92 [72]~P31(x721)+P31(x722)+~E(x721,x722) % 0.87/0.92 [73]P5(x732,x733,x734)+~E(x731,x732)+~P5(x731,x733,x734) % 0.87/0.92 [74]P5(x743,x742,x744)+~E(x741,x742)+~P5(x743,x741,x744) % 0.87/0.92 [75]P5(x753,x754,x752)+~E(x751,x752)+~P5(x753,x754,x751) % 0.87/0.92 [76]~P57(x761)+P57(x762)+~E(x761,x762) % 0.87/0.92 [77]~P3(x771)+P3(x772)+~E(x771,x772) % 0.87/0.92 [78]~P32(x781)+P32(x782)+~E(x781,x782) % 0.87/0.92 [79]P6(x792,x793,x794)+~E(x791,x792)+~P6(x791,x793,x794) % 0.87/0.92 [80]P6(x803,x802,x804)+~E(x801,x802)+~P6(x803,x801,x804) % 0.87/0.92 [81]P6(x813,x814,x812)+~E(x811,x812)+~P6(x813,x814,x811) % 0.87/0.92 [82]~P63(x821)+P63(x822)+~E(x821,x822) % 0.87/0.92 [83]~P17(x831)+P17(x832)+~E(x831,x832) % 0.87/0.92 [84]~P50(x841)+P50(x842)+~E(x841,x842) % 0.87/0.92 [85]~P25(x851)+P25(x852)+~E(x851,x852) % 0.87/0.92 [86]~P51(x861)+P51(x862)+~E(x861,x862) % 0.87/0.92 [87]~P21(x871)+P21(x872)+~E(x871,x872) % 0.87/0.92 [88]~P65(x881)+P65(x882)+~E(x881,x882) % 0.87/0.92 [89]~P15(x891)+P15(x892)+~E(x891,x892) % 0.87/0.92 [90]~P53(x901)+P53(x902)+~E(x901,x902) % 0.87/0.92 [91]~P14(x911)+P14(x912)+~E(x911,x912) % 0.87/0.92 [92]~P52(x921)+P52(x922)+~E(x921,x922) % 0.87/0.92 [93]~P4(x931)+P4(x932)+~E(x931,x932) % 0.87/0.92 [94]~P10(x941)+P10(x942)+~E(x941,x942) % 0.87/0.92 [95]~P38(x951)+P38(x952)+~E(x951,x952) % 0.87/0.92 [96]~P8(x961)+P8(x962)+~E(x961,x962) % 0.87/0.92 [97]~P33(x971)+P33(x972)+~E(x971,x972) % 0.87/0.92 [98]~P55(x981)+P55(x982)+~E(x981,x982) % 0.87/0.92 [99]~P34(x991)+P34(x992)+~E(x991,x992) % 0.87/0.92 [100]~P19(x1001)+P19(x1002)+~E(x1001,x1002) % 0.87/0.92 [101]~P28(x1011)+P28(x1012)+~E(x1011,x1012) % 0.87/0.92 [102]~P54(x1021)+P54(x1022)+~E(x1021,x1022) % 0.87/0.92 [103]~P41(x1031)+P41(x1032)+~E(x1031,x1032) % 0.87/0.92 [104]~P67(x1041)+P67(x1042)+~E(x1041,x1042) % 0.87/0.92 [105]~P37(x1051)+P37(x1052)+~E(x1051,x1052) % 0.87/0.92 [106]~P20(x1061)+P20(x1062)+~E(x1061,x1062) % 0.87/0.92 [107]~P16(x1071)+P16(x1072)+~E(x1071,x1072) % 0.87/0.92 [108]~P44(x1081)+P44(x1082)+~E(x1081,x1082) % 0.87/0.92 [109]~P66(x1091)+P66(x1092)+~E(x1091,x1092) % 0.87/0.92 [110]~P48(x1101)+P48(x1102)+~E(x1101,x1102) % 0.87/0.92 [111]~P26(x1111)+P26(x1112)+~E(x1111,x1112) % 0.87/0.92 [112]~P69(x1121)+P69(x1122)+~E(x1121,x1122) % 0.87/0.92 [113]~P30(x1131)+P30(x1132)+~E(x1131,x1132) % 0.87/0.92 [114]~P49(x1141)+P49(x1142)+~E(x1141,x1142) % 0.87/0.92 [115]~P60(x1151)+P60(x1152)+~E(x1151,x1152) % 0.87/0.92 [116]~P46(x1161)+P46(x1162)+~E(x1161,x1162) % 0.87/0.92 [117]~P59(x1171)+P59(x1172)+~E(x1171,x1172) % 0.87/0.92 [118]~P40(x1181)+P40(x1182)+~E(x1181,x1182) % 0.87/0.92 [119]~P70(x1191)+P70(x1192)+~E(x1191,x1192) % 0.87/0.92 [120]~P39(x1201)+P39(x1202)+~E(x1201,x1202) % 0.87/0.92 [121]~P47(x1211)+P47(x1212)+~E(x1211,x1212) % 0.87/0.92 [122]~P29(x1221)+P29(x1222)+~E(x1221,x1222) % 0.87/0.92 [123]~P35(x1231)+P35(x1232)+~E(x1231,x1232) % 0.87/0.92 [124]~P64(x1241)+P64(x1242)+~E(x1241,x1242) % 0.87/0.92 [125]~P22(x1251)+P22(x1252)+~E(x1251,x1252) % 0.87/0.92 [126]~P27(x1261)+P27(x1262)+~E(x1261,x1262) % 0.87/0.92 [127]~P58(x1271)+P58(x1272)+~E(x1271,x1272) % 0.87/0.92 [128]~P36(x1281)+P36(x1282)+~E(x1281,x1282) % 0.87/0.92 [129]~P24(x1291)+P24(x1292)+~E(x1291,x1292) % 0.87/0.92 [130]~P18(x1301)+P18(x1302)+~E(x1301,x1302) % 0.87/0.92 [131]~P45(x1311)+P45(x1312)+~E(x1311,x1312) % 0.87/0.92 [132]~P23(x1321)+P23(x1322)+~E(x1321,x1322) % 0.87/0.92 [133]~P71(x1331)+P71(x1332)+~E(x1331,x1332) % 0.87/0.92 [134]~P56(x1341)+P56(x1342)+~E(x1341,x1342) % 0.87/0.92 [135]~P43(x1351)+P43(x1352)+~E(x1351,x1352) % 0.87/0.92 % 0.87/0.92 %------------------------------------------- % 0.87/0.92 cnf(1140,plain, % 0.87/0.92 ($false), % 0.87/0.92 inference(scs_inference,[],[270,219,757]), % 0.87/0.92 ['proof']). % 0.87/0.92 % SZS output end Proof % 0.87/0.92 % Total time :0.060000s %------------------------------------------------------------------------------